Madison owns a bakery named Cakes and Happiness Bakery. She sells cakes for $20 and sells additional baked goods for $5. How much money should she be making in 2 months if she sells an average of 5 cakes a week and 10 baked goods?
A- $1,050
B- $4,200
C-16,800
(this is just for fun, it's made up. feel free to ask questions fr tho :)

Answers

Answer 1

Answer:

The total amount Madison should be making in 2 months can be calculated as follows:

Number of cakes sold in 2 months: 5 cakes/week x 4 weeks/month x 2 months = 40 cakes

Number of baked goods sold in 2 months: 10 baked goods/week x 4 weeks/month x 2 months = 80 baked goods

Total revenue from cake sales: 40 cakes x $20/cake = $800

Total revenue from baked goods sales: 80 baked goods x $5/baked good = $400

Total revenue from both cake and baked goods sales: $800 + $400 = $1,200

Therefore, the correct answer is not listed among the options provided. The correct answer should be $1,200.


Did i get it right?


Related Questions

5. Find the perimeter and area

*Triangle- based prism*

Answers

Step-by-step explanation:

for the perimeter you have to say two brackets live plus height plus with plastic

My rabbit Nibbles lives in a moveable pen and helps to keep the grass short. The pen is rectangular and measures 3m by 2m, as shown in the diagram, where the arrow indicates North. On successive days, the pen is moved 1m East, 2m South, 1m West and 2m North.

What is the total area, in square metres, of the region of grass which Nibbles can nibble?

Answers

Answer:

We can break down the total area of grass that Nibbles can nibble into two parts: the original rectangular pen, and the additional grass that Nibbles can reach as the pen is moved.

The area of the original rectangular pen is:

A1 = length x width = 3m x 2m = 6 square meters

To calculate the area of the additional grass, we can visualize the movements of the pen. The pen moves 1 meter to the east, 2 meters to the south, 1 meter to the west, and 2 meters to the north. This creates an irregular pentagon shape, as shown in the diagram below:

```

+-------+

| |

| |

E |

+----+---+ |

| S|

| |

| |

| |

| |

| |

+-----------+

W

```

To calculate the area of this irregular pentagon, we can divide it into two triangles and one rectangle:

- The east and west sides of the pen form a rectangle with dimensions 1m x 2m, for an area of 2 square meters.

- The south side of the pen creates a right triangle with legs of 2m and 1m, for an area of (1/2) x base x height = 1 square meter.

- The north side of the pen creates a right triangle with legs of 2m and 1m, for an area of (1/2) x base x height = 1 square meter.

Therefore, the total area of grass that Nibbles can nibble is:

A = A1 + 2 + 1 + 1 = 10 square meters.

So the answer is 10 square meters.

6. Suppose the object hits the top of a tree that is 44 feet above the
ground. Write and solve an equation that allows you to find how many
seconds after being dropped that this occurs.

Answers

According to the Equation, the provided question's conclusion is that the object strikes the top of the tree in roughly 4 seconds.

What is Equation?

An equation is a mathematical statement that demonstrates the equality of two expressions and is typically denoted by the equals symbol (=). Equations can be used to solve issues and make predictions as well as to express a wide variety of mathematical relationships.

The formula for the distance travelled by an object under constant acceleration can be used to solve this issue:

d = 1/2 * g * t²

where:

The distance travelled is d.

Gravitational acceleration (g) is around 32.2 feet per second squared.

T is the passing of time

Since the object is being dropped in this scenario, we know that its initial height is 0 feet and its ending height is 44 feet. For the duration of the trip, we may construct the following equation:

The required time is t seconds.

h(t) = 44

Simplifying:

-16t² + 300 = 44

16t² = 300 - 44

t² = 256/16

t² = 16

When both sides are squared:

t = 4 seconds

The time it takes for the object to strike the tree's top is therefore 4 seconds.

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The complete question is,

Let's say the object lands 44 feet above the ground, at the top of a tree. You may calculate the number of seconds after being dropped by writing and solving an equation.

skinner produce buys fresh boston lettuce daily. daily demand is normally distributed with a mean of 100 units and standard deviation of 15 units. at the beginning of the day skinner orders 140 units of lettuce. what is the probability that skinner will have at least 20 units left over by the end of the day?

Answers

For a normally distribution of daily demand of fresh boston lettuce produce by skinner. the probability that skinner will have at least 20 units left over by the end of the day is equals the one.

Skinner produce buys fresh boston lettuce daily. There is daily demand is normally distributed,

Mean = 100 units

Standard deviations = 15 units

At beginning of the day skinner orders 140 units of lettuce. We have to determine the probability that skinner will have at least 20 units left over by the end of the day, P( X ≥ 20). Using the Z-Score for normal distribution is written as

[tex]z = \frac{ X - \mu}{\sigma} [/tex]

where, z --> z-score

X --> excepted value

--> standard deviations

--> population mean

Subsritute the known values in above formula, [tex]z = \frac{ 20 - 100}{15} [/tex]

= - 5.33

Now, probability value, P ( X < 20)

[tex]= P( \frac{X - \mu}{\sigma} < \frac{ 20 - 100}{15} )[/tex] = P( z < - 5.33 )

= 0.000

So, P( X < 20) = P( z< -5.33) = 0 . Also, required probability is P( X≥ 20) = 1 - 0

= 1

Hence, required value is one.

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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The correct representations of the inequality is

- 6x + 15 < 10 - 5x  and An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

We have the inequality -3(2x - 5) < 5(2 - x)

Now, simplifying each side of inequality

-3(2x - 5) = -3(2x) + -3(-5)

-3(2x - 5) = - 6x + 15

and, 5(2 - x) = 5(2) + 5(-x)

5(2 - x) = 10 - 5x

So, - 6x + 15 < 10 - 5x

Now, Subtract 15 from both sides

- 6x < -5 - 5x

- x < - 5

x > 5

The correct statements are:

- 6x + 15 < 10 - 5x  and An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

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If 1 US dollar in 1860 had the same purchasing power as $28. 95 in 2018, what is the yearly average inflation rate during that time?

A. 2. 15%
B. 2. 75%
C. 3. 15%
D. 3. 75%

Answers

The yearly average inflation rate during that time is 3.75% (option d).

First, we need to adjust the value of $1 in 1860 to its equivalent value in 2018 using the given purchasing power ratio of 1:28.95. This means that $1 in 1860 is equivalent to $28.95 in 2018.

Next, we need to find the CPI for 1860 and 2018. According to the Bureau of Labor Statistics, the CPI for 1860 is not available. However, we can use the CPI for 1913 as a proxy, as it was the year when the CPI was first introduced. The CPI for 1913 was 9.9.

Using the CPI for 1913 as the beginning CPI and the CPI for 2018 as the ending CPI, we can calculate the inflation rate as follows:

Inflation rate = (252.146 - 9.9) / 9.9 x 100% = 3.72%

Hence the correct option D (3.75%).

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Vectors u and v are shown in the graph. vector u with initial point at the origin and terminal point at negative 10 comma negative 7 and vector v with initial point at the origin and terminal point at negative 8 comma 4 What is
[tex]proj _{v}u[/tex]
?​

Answers

Answer:

im sorry i couldnt help myself

Step-by-step explanation:

How much would a retailer pay for 30 dozen work gloves if the wholesaler's
list price is $62 a dozen, less 28% ?

Answers

The retailer would pay $1,339.20 for 30 dozen work gloves.

One dozen is equal to 12, so 30 dozen would be equal to 360 gloves.

The wholesaler's list price for one dozen gloves is $62.

The discount given by the wholesaler is 28%

The retailer pays 100% - 28% = 72% of the list price.

The price the retailer pays for one dozen gloves is:

$62 x 0.72 = $44.64

Therefore, the price the retailer pays for 30 dozen gloves is:

$44.64 x 30 = $1,339.20

So the retailer would pay $1,339.20 for 30 dozen work gloves.

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A two-digit number is less than 6 times the sum of its digits by 1. The difference between the digit is 1. Find the number.​

Answers

Answer:

the two-digit number is 65.

Step-by-step explanation:

Let's assume that the tens and units digits of the two-digit number are x and y, respectively.

According to the given condition,

10x + y < 6(x + y) - 1 (less than 6 times the sum of its digits by 1)

Simplifying the above equation, we get:

4x - 5y < -1 (dividing both sides by 2)

Also, it is given that the difference between the digits is 1, so we can write:

x - y = 1 (difference between the digits is 1)

Now, we need to solve these two equations to find the values of x and y.

Multiplying the second equation by 4, we get:

4x - 4y = 4

Adding this equation to the first equation, we get:

4x - 5y + 4x - 4y = 3

Simplifying the above equation, we get:

8x - 9y = 3

Now, we can solve these two equations simultaneously to find the values of x and y.

Multiplying the second equation by 8, we get:

8x - 8y = 8

Subtracting this equation from the previous equation, we get:

y = 5

Substituting this value of y in the equation x - y = 1, we get:

x - 5 = 1

x = 6

Therefore, the two-digit number is 65.

Following the logic shown in the proof above, describe the missing answer for "Reason 3".

A
SAS

B
AAS

C
SSA

D
ASA

Answers

Based on the given options and the information provided, the missing answer for "Reason 3" is option D, ASA.

The proof mentioned is based on the fact that the two triangles have two pairs of congruent angles and one pair of congruent sides.

This corresponds to the criteria for the ASA postulate, which states that if two triangles have two pairs of congruent angles and one pair of congruent sides, then the triangles are congruent.

Therefore, by using the ASA postulate, we can conclude that the two given triangles are congruent.

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What is the straight line distance in miles between estebans house and the tower a ll b 17 c29 d41 e61

Answers

Answer:

I Thick it A 11 if i'm Wrong Sorry

Have a Nice Best Day : )

Find an equation for the perpendicular bisector of the line segment whose endpoints
are(-1, , -8) and (5, 4).

Answers

An equation in slope-intercept form for the perpendicular bisector of the line segment with endpoints (-1, -8) and K (5, 4) is y = 2x - 6.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

m represent the slope.x and y represent the points.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 8)/(5 + 1)

Slope (m) = 12/6

Slope (m) = 2.

At data point (-1, -8) and a slope of 2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-8) = 2(x - (-1))

y + 8 = 2x + 2

y = 2x - 6.

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1) Consider the quadratic function: f (x) = (x + 3)2 – 2 and a function, g(x), which is created by translating
f (x) three units to the right, two units up, and reflected vertically over the x-axis. Complete the following tasks:
a) 15 points: Graph f (x) on the axes below and label it. Graph g(x) on the axes below and label it.
b) 10 points: Write the vertex form equation for g(x) below.

Answers

The graph of both functions are in the image at the end, and the vertex of g(x) are (0, 0).

How to graph the function g(x)?

Here we know that the function f(x) is:

f(x)= (x + 3)² - 2

And g(x) is a translation of 3 units to the right, 2 units up, and reflected over the x-axis, then we have:

g(x) = -[ f(x - 3) + 2]

Replacing f(x) we get:

g(x) = -[ (x + 3 - 3)²  -2 + 2]

g(x) = -x²

The graphs of both functions are the ones in the image at the end, there we can see that the vertex of g(x) is (0, 0).

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mean and median of 11, 41, 36, 4, 7

Answers

Answer:

Median = 11

Mean = 19.8

Step-by-step explanation:

Arrange data points from small to large - Median will be the number in the middle

4 7 11 36 41

To get the mean add the numbers together and divide by the number of numbers there are.

The total is 99

5 numbers

99/5

= 19.8

Hope this helps

At Bob's Auto Plaza there are currently 15 new cars, 7 used cars, 9 new trucks, and 6 used trucks. Bob is going to choose one of these vehicles at random to be the Deal of the Month. What is the probability that the vehicle that Bob chooses is new or is a car

Answers

The probability that the vehicle Bob chooses is new or is a car is [tex]\frac{31}{37}[/tex]

To determine the probability that the vehicle Bob chooses is new or is a car at Bob's Auto Plaza, follow these steps:

1. Calculate the total number of vehicles:
  15 new cars + 7 used cars + 9 new trucks + 6 used trucks = 37 vehicles

2. Calculate the number of new vehicles:
  15 new cars + 9 new trucks = 24 new vehicles

3. Calculate the number of cars (both new and used):
  15 new cars + 7 used cars = 22 cars

4. Since we have already counted the new cars in both categories, we need to subtract the number of new cars once to avoid double counting:
  24 new vehicles + 22 cars - 15 new cars = 31 vehicles that are either new or cars

5. Finally, calculate the probability:
  Probability = (number of vehicles that are new or cars) / (total number of vehicles)
  [tex]Probability = \frac{31}{37}[/tex]

So, the probability that the vehicle Bob chooses is new or is a car is [tex]\frac{31}{37}[/tex]  .

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Solve the inequality for the variable: 2(3c + 15) + 4c > 100

Answers

Answer:

c > 7

Step-by-step explanation:

Now we have to,

→ Find the required value of c.

The equation is,

→ 2(3c + 15) + 4c > 100

Then the value of c will be,

→ 2(3c + 15) + 4c > 100

Applying Distributive property:

→ 2(3c) + 2(15) + 4c > 100

→ 6c + 30 + 4c > 100

Combining the like terms:

→ 10c + 30 > 100

→ 10c > 100 - 30

→ 10c > 70

Dividing the value 70 with 10:

→ c > 70 ÷ 10

→ [ c > 7 ]

Hence, the answer is c > 7.

Hello !

Answer:

[tex]\boxed{\sf c > 7 \ \ \ ||\ \ \ \sf (7,+\infty)}[/tex]

Step-by-step explanation:

We are looking for the values of c that satisfy the following inequality :

[tex]\sf 2(3c + 15) + 4c > 100[/tex]

Let's expand the left side of the inequality.

[tex]\sf 2\times 3c +2\times 15+4c > 100\\6c+30+4c > 100[/tex]

Now we will combine like terms :

[tex]\sf 10c+30 > 100[/tex]

Let's substract 30 from both sides of the inequality.

[tex]\sf 10c+30-30 > 100-30\\10c > 70[/tex]

Finally, let's divide both sides by 10.

10>0 so the inequality remains the same.

[tex]\sf\frac{10c}{10} > \frac{70}{10} \\\boxed{\sf c > 7}[/tex]

Have a nice day ;)

HELPPPPPPPPPPPP PLSSSSSSS

Answers

Answer: Angle E is 90 degrees
Angle E is the answer.

7. The formula for the volume of
a cone is given by V=1/3 pi r²h,
where r is the radius of the base
and h is the height of the cone.
Solve the formula for h. Then find
the height of a cone with a volume
of 48 cm³ and a base with a radius
of 4 cm.

Answers

The height of the cone is approximately 1.5 cm.

What is a cone?

Both a cone and a cylinder have circular bottoms and are three-dimensional shapes. The lateral surfaces of the two shapes differ most noticeably from one another. A cone has a lateral surface that tapers from a point at the apex to a circular base, whereas a cylinder has a curved lateral surface that is parallel to its base. The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius of the base and h is the height, whereas the volume of a cone is calculated using V = (1/3)πr²h.

The volume of the cone is given as:

V = (1/3)πr²h

Rearranging the equation to isolate h we get:

3V = πr²h

h = (3V)/(πr²)

Now, for  volume

of 48 cm³ and a base with a radius of 4 cm we have:

h = (3(48))/(π(4)²)

h ≈ 1.5 cm

Hence, the height of the cone is approximately 1.5 cm.

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mark took 30minutes to finish lunch describe the turn the minute hand made

Answers

The turn the minute hand made is about 180 degrees when Mark finished his lunch.

How to calculate time with angle?

To calculate time with angle, you need to know the angle between the hour hand and the minute hand. With that, you can use the formula

θ = 30H - 11/2M

where H is the current hour and M is the current minute.

Once you calculate the angle, you can use the formula

t = θ/30 to find the elapsed time in hours and decimal fractions of an hour.

The minute hand of a clock makes a full revolution (360 degrees) in 60 minutes (1 hour). Therefore, in 30 minutes, the minute hand will turn half the way around the clock face, which is 180 degrees.

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The complete question is: "Mark took 30minutes to finish lunch describe the turn the minute hand made when he finished his lunch".

Find the surface area of a regular pentagonal prism with a height of 3.5 inches and a base edge length of 2 inches. Round your answer to the nearest hundredth, if necessary.

Answers

Answer: 48.76 square inches.

Step-by-step explanation: A regular pentagonal prism has 7 faces: 2 pentagonal bases and 5 rectangular faces.

To find the surface area, we need to find the area of each face and add them up.

The area of one pentagonal base can be found using the formula:

A = (5/4) * (edge length)^2 * cot(π/5)

Substituting the given values, we get:

A = (5/4) * (2)^2 * cot(π/5)

≈ 6.8819 square inches (rounded to the nearest hundredth)

Since there are two pentagonal bases, their total area is:

2A ≈ 13.7638 square inches

The area of one rectangular face can be found using the formula:

A = (edge length) * (height)

Substituting the given values, we get:

A = 2 * 3.5

= 7 square inches

Since there are five rectangular faces, their total area is:

5A = 5 * 7 = 35 square inches

Therefore, the total surface area of the regular pentagonal prism is approximately:

13.7638 + 35 = 48.7638 square inches

Rounding to the nearest hundredth, we get:

Surface area ≈ 48.76 square inches.

The surface area of a regular pentagonal prism is 193.82 square inches.

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The formula for the surface area of a regular pentagonal prism is:

SA = 5 × base area + 5 × lateral face area

where the base area is the area of one of the pentagonal bases, and the lateral face area is the area of one of the rectangular faces.

Since the base is a regular pentagon, we can use the formula for the area of a regular pentagon:

Area of pentagon = (1/4) × n × s² × tan(180°/n)

where n is the number of sides of the pentagon (which is 5 since it's a regular pentagon), and s is the length of one of its sides.

In this case,

s = 2 inches

Area of pentagon = (1/4) × 5 × 2² × tan(180°/5)

Area of the pentagon = 6.8819 square inches

This is the area of one of the pentagonal bases.

Since there are two bases,

The total base area is:

Base area = 2 × 6.8819

                 = 13.7638 square inches

Now,

Each lateral face is a rectangle with a width equal to the base edge length (2 inches) and a height equal to the height of the prism (3.5 inches).

Lateral face area.

= base edge length × height

= 2 inches × 3.5 inches

= 7 square inches

Since there are five lateral faces, the total lateral face area is:

Lateral face area

= 5 × 7

= 35 square inches

Now we can add up the base area and lateral face area to get the total surface area:

SA = 5 × base area + 5 × lateral face area

     = 5(13.7638) + 5(35)

     = 193.819 square inches

Rounding this to the nearest hundredth.

SA = 193.82 square inches

Thus,

The surface area of a regular pentagonal prism is 193.82 square inches.

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Can someone please help me on this?

Answers

Answer: angle(s) A on the left.

Step-by-step explanation:

Complementary angles are angles whose sum equals 90, which is a righ angle (forms a corner)

WILL MARK BRAINLIEST!!
A number pattern is shown below.
Please create an equation for the pattern, and find what the difference between the last number in row 6 and the first number in row 6 is. Show or explain your work.

Answers

The last number in row 6 is 58. The difference between the last number in row 6 and the first number in row 6 is 10

How to solve

To find the equation for the pattern, let's first observe the pattern in the given rows:

Row 2: 8 10 (difference = 2)Row 3: 15 17 19 (difference = 2)Row 4: 24 26 28 30 (difference = 2)Row 5: 35 37 39 41 43 (difference = 2)

We notice that the difference between the consecutive numbers in each row is 2.

Now let's observe the first number in each row:

Row 2: 8 (24)Row 3: 15 (35)Row 4: 24 (46)Row 5: 35 (57)

It seems that the first number in each row can be calculated by multiplying the row number by (row number + 2). So, for row 6, the first number would be:

6 * (6 + 2) = 6 * 8 = 48

Now let's calculate the remaining numbers in row 6:

Row 6: 48 50 52 54 56 58 (difference = 2)

The last number in row 6 is 58. The difference between the last number in row 6 and the first number in row 6 is:

58 - 48 = 10


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The triangle above has the following measures
m/C=45 degrees
a=7.5 yd
Use the 45-45-90 Trangle Theorem to find the
length of the hypotenuse Include correct units.
Show all your work.

Answers

The length of the hypotenuse is given as follows:

b = 10.6 yd.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The theorem is expressed as follows:

c² = a² + b².

In which:

c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.

By the 45-45-90 Triangle Theorem, the two sides have the same length, hence:

a = c = 7.5.

Hence the hypotenuse b is obtained as follows:

b² = a² + c²

b² = 7.5² + 7.5²

[tex]b = \sqrt{7.5^2 + 7.5^2}[/tex]

b = 10.6 yd.

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PLEASE HELP!
Question 1: y is directly proportional to x. If y=5 when x is 25:
a) Find an equation for y in terms of x.
b) Use your equation from part a) to find y when x is 100.

Question 2:
y ∝ x and y=132 when x=10
a) Find the value of y when x=14.
b) Sketch the graph of this proportion for x>0 and mark two points on the line.

Answers

1) The value of an equation for y in terms of x is, y = 1/5x

And, y = 20 at x = 100

2) y = 184.8 , at x = 14

The value of an equation for y in terms of x is, y = 13.2x

Given that;

1) y is directly proportional to x.

2) y ∝ x and y=132 when x=10

Now, For 1;

1) Since, y is directly proportional to x.

Hence, We get;

y = kx

Plug y = 5 and x = 25

5 = 25k

k = 1/5

Hence, The value of an equation for y in terms of x is,

y = 1/5x

And, Plug x = 100,

y = 1/5 x 100

y = 20

2) Since,  y ∝ x and y=132 when x=10

y = kx

132 = 10k

k = 13.2

Hence, At x = 14;

y = 13.2 x 14

y = 184.8

Thus, The correct equation is,

y = 13.2x

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What do all products of the square of binomial have in common?

Answers

The square of binomial have in common is x² - 14x + 49

The first two products you have given, (x + 9)(x + 9) and (x - 7)(x - 7), are examples of the square of a binomial. To find the product of two binomials, we use what's called the FOIL method. FOIL stands for First, Outer, Inner, Last, and it's a way to remember the steps involved in multiplying two binomials.

When we multiply (x + 9)(x + 9), we first multiply the first terms in each binomial: x * x = x². Then we multiply the outer terms: x * 9 = 9x. Next, we multiply the inner terms: 9 * x = 9x. Finally, we multiply the last terms in each binomial: 9 * 9 = 81. So, putting it all together, we get:

(x + 9)(x + 9) = x² + 9x + 9x + 81

= x² + 18x + 81

Similarly, when we multiply (x - 7)(x - 7), we get:

(x - 7)(x - 7) = x² - 7x - 7x + 49

= x² - 14x + 49

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Complete Question:

Find each product. (x + 9) (x + 9) , (x - 7)(x - 7) (2x - 1 )²

a. What do all products of the square of a binomial have in common?

when sampling from a population with , which of the following sample means is more surprising? why? sample a: a random sample of 9 pell grant recipients with a mean award amount of $2750. sample b: a random sample of 36 pell grant recipients with a mean award amount of $2750. group of answer choices sample a is more surprising because there is less variability in smaller samples. sample a is more surprising because there is more variability in smaller samples sample b is more surprising because there is less variability in larger samples. the samples are equally surprising because the sample means are equal.

Answers

Sample a is more surprising because there is more variability in smaller samples, making it less likely to obtain a sample mean that is as extreme as $2750.

Sample A is more surprising because there is more variability in smaller samples. The variability of sample means decreases as the sample size increases due to the central limit theorem.

The central limit theorem states that as the sample size increases, the distribution of sample means becomes more normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

Therefore, sample A, which has a smaller sample size of 9, has a larger standard deviation and more variability in the mean award amount compared to sample B, which has a sample size of 36. It is less likely to obtain a sample mean of $2750 from a smaller sample with more variability than from a larger sample with less variability. Thus, sample A is more surprising than sample B.

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Cory is a bird watcher. He estimates that 30% of the birds he sees are American robins, 20% are dark-eyed juncos, and 20% are song sparrows. He designs a simulation.

Answers

Answer:

C.0.75

Step-by-step explanation:

the number of occurrence is 15 and the number of simulations is 20 so

P= 15/20

.75

a cube has the same volume as a box that is 4ft 5.in long 3ft 2.in wide and 4ft 3.in deep. a. write an expression that models the length of one side of the cube. b. find the side length of the cube. c. does the cube or the box have a greater surface area? How much greater?

Answers

a. The length of one side of the cube  shape x ≈ 3.633 ft

b. The length of one side of the cube  shape is roughly 3.633 feet.

c. The case has a more noteworthy surface region than the block by roughly 10.325 square feet.

What is volume of the cube ?

Let x be the length of one side of the cube. Since the cube has equal length, width, and height, its volume is  = x^3.

The volume of the box  = (4 feet 5 in) * (3 feet 2 in) * (4 feet 3 in),

which can be converted to feet as Volume of box =

(4 + 5/12) * (3 + 2/12) * (4 + 3/12) = 4.3135 * 3.1667 * 4.25 =

55.0448 cubic feet.

Since the cube has the same volume as the box, we can set Volume of cube = Volume of box and

solve for x:

[tex]x^3 = 55.0448\\x = (55.0448)^{1/3}\\[/tex]

x ≈ 3.633 ft

b. The length of one side of the cube is approximately 3.633 feet.

c. We must determine the surface area of each to compare the cube's and box's surfaces. A cube with side length x has the surface area given by

Surface area of cube = [tex]6x^2[/tex], and

Surface area of a box = 2lw + 2lh + 2wh is the formula for the surface area of a box with the dimensions l, w, and h. Based on the box's dimensions, we have:

Surface area of cube = [tex]6(3.633)^2[/tex] ≈ 79.342 sq. feet

Surface area of box = 2(4.4167 * 3.25) + 2(4.4167 * 4.25) + 2(3.25 * 4.25) ≈ 89.667 sq. feet

By about 10.325 square feet, the surface area of the box is greater than that of the cube.

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7z + 7> - 2z -4 solve the following for inequality for z simplest form

Answers

Answer:

z > - [tex]\frac{11}{9}[/tex]

Step-by-step explanation:

7z + 7 > - 2z - 4

9z + 7 > -4

9z > - 11

z > - [tex]\frac{11}{9}[/tex]

given that tanα=4/3 (α is in Q1) and cosβ= -4/5 (β is in Q3), find cos(α+β)

Answers

Answer:

We can use the following formula for the cosine of the sum of two angles:

cos(α + β) = cos(α)cos(β) - sin(α)sin(β)

To use this formula, we need to find the values of cos(α), sin(α), cos(β), and sin(β).

Since tan(α) = 4/3 and α is in the first quadrant, we can use the Pythagorean identity to find sin(α) and cos(α):

tan^2(α) + 1 = sec^2(α)

(4/3)^2 + 1 = sec^2(α)

16/9 + 1 = sec^2(α)

25/9 = sec^2(α)

sec(α) = 3/5

cos(α) = 1/sec(α) = 5/3

sin(α) = tan(α) * cos(α) = (4/3) * (5/3) = 20/9

Since cos(β) = -4/5 and β is in the third quadrant, we can use the Pythagorean identity again to find sin(β):

sin^2(β) + cos^2(β) = 1

sin^2(β) = 1 - cos^2(β)

sin(β) = -√(1 - cos^2(β)) (since sin(β) is negative in Q3)

sin(β) = -√(1 - (-4/5)^2) = -√(1 - 16/25) = -√(9/25) = -3/5

Now we can substitute these values into the formula for cos(α+β):

cos(α + β) = cos(α)cos(β) - sin(α)sin(β)

cos(α + β) = (5/3) * (-4/5) - (20/9) * (-3/5)

cos(α + β) = -4/3 + 4/3

cos(α + β) = 0

Therefore, cos(α+β) = 0.

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