Help me in 6 8 9 and 10 the photo are there I am in 4 grade

Answer:

Since f(-1) = 0 and f(-2) = 0, we can set up two equations:

(-1)³ + p(-1)² - q(-1) - 4 = 0

(-2)³ + p(-2)² - q(-2) - 4 = 0

Simplifying each equation, we get:

-1 + p - q - 4 = 0

-8 + 4p - 2q - 4 = 0

Simplifying further, we get:

p - q = 5

2p - q = 6

Solving for p and q, we can add the two equations together to eliminate q:

p - q + 2p - q = 5 + 6

3p - 2q = 11

Then, we can substitute the value of q from the first equation into this equation to solve for p:

3p - 2(q + 5) = 11

3p - 2q - 10 = 11

3p - 2q = 21

3p - 2(5 + p) = 21

p - 10 = 7

p = 17

Substituting this value of p into either equation for q, we get:

q = p - 5 = 12

Therefore, the coefficients are p = 17 and q = 12. To factor the expression, we can use synthetic division or long division. Using synthetic division, we get:

-1 | 1 17 -12 -4

|__ -1 -16 28

1 1 12

This gives us the factorization:

f(x) = (x + 1)(x² + x + 12)

To find the solutions, we can use the quadratic formula on the quadratic factor:

x = (-1 ± sqrt(1 - 4(1)(12))) / 2(1)

x = (-1 ± sqrt(1 - 48)) / 2

x = (-1 ± sqrt(-47)) / 2

x1 = (-1 + i(sqrt(47))) / 2

x2 = (-1 - i(sqrt(47))) / 2

Therefore, the solutions are x1 = (-1 + i(sqrt(47))) / 2, x2 = (-1 - i(sqrt(47))) / 2, and x3 = -1.

Step-by-step explanation:

give me thanks for more! your welcome bud!

Answer: june is in the second quarter

Answer:

The slower ship is going 240 mph

The faster ship is going 260 mph

Step-by-step explanation:

midnight to 8 am is 8 hours, the distance shortened between the ships each hour was 500 miles so if the slower ship's speed is x and the faster ship's speed is y:

x + y = 500

and the question tells us that

x + 20 = y

Using the substitution method we can substitute the y in the first question for the second's.

x + (x + 20) = 500

solve:

x + x + 20 = 500

2x + 20 = 500

2x + 20 - 20 = 500 - 20

2x = 480

(2x) / 2 = 480 / 2

x = 240

Now that we have x we can now substitute the x into the second equation

(240) + 20 = y

260 = y

y = 260

And after adding the unit of measurement (Miles Per Hour) we get the speed of the slower ship (x) to be 240 MPH, and the speed of the faster ship (y) to be 260 MPH.

Answer:

y=8x+4

Step-by-step explanation:

follow the formula y=mx+b where m is the slope and b is the y intercept

first find the slope, which is the rate of change, using the equation (y2-y1)/(x2-x1). i substituted the values from x=0 as (0,4) for the first coordinate and x=1 as (1,12) for the second coordinate from the chart and filled them into the equation:

so (12-4)/(1-0)=8/1= 8

so the slope is 8

and the y intercept is the y value when x=0, which can be seen on the chart as 4. so y=8x+4

Answer:

75cm2 is right I think

Step-by-step explanation:

Hope this helps

Answer:

There are 12 face cards and 4 aces in a standard deck, so the probability of drawing a face card is 12/52 = 3/13, the probability of drawing an ace is 4/52 = 1/13, and the probability of drawing any other card is 1 - 3/13 - 1/13 = 9/13.

The expected gain from drawing a face card is $13, from drawing an ace is $6, and from drawing any other card is -$3. Therefore, the expected gain from this game is:

(3/13)($13) + (1/13)($6) + (9/13)(-$3) = $0

This means that over many games, on average, you would neither win nor lose any money playing this game.

The expression for the length of one side of the square is 4x + 8y.

A square is simply a geometric shape with four equal sides and four right angles.

The perimeter of a sqaure is expressed as:

P = 4s

Where "4s" represents the sum of all four sides of the square, since all sides of a square are equal in length.

Given that:

Perimeter P = 16x + 32y

Then plug into:

P = 4s

16x + 32y = 4s

To find an expression for s, we can divide both sides by 4:

4s = 16x + 32y

4s/4 = 16x/4 + 32y/4

s = 4x + 8y

Therefore, one side of the square is 4x + 8y.

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the expression 9 log2x + 1/2log2x - 5 log2(x+1) can be written as a single logarithm, log2[x²(19/2) / (x+1)²5].

Why is it?

We can use the logarithmic identities to simplify this expression and write it as a single logarithm:

9 log2x + 1/2 log2x - 5 log2(x+1)

= log2(x²9) + log2(x²(1/2)) - log2(x+1)²5 (using the product and power rules of logarithms)

= log2[x²9 ×x²(1/2) / (x+1)²5] (using the quotient rule of logarithms)

= log2[x²(19/2) / (x+1)²5] (simplifying the expression)

Therefore, the expression 9 log2x + 1/2log2x - 5 log2(x+1) can be written as a single logarithm, log2[x²(19/2) / (x+1)²5].

A logarithm is a mathematical function used to determine how many times a particular number, called the base, must be multiplied by itself to produce a given value. The most commonly used base for logarithmic functions is 10, but other bases such as 2 and e (the base of the natural logarithm) can also be used.

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The answer would be 0.25.

The symbol √ is called the radical symbol or the square root symbol. It is used in mathematics to represent the square root of a number. For example, the square root of 25 is represented as √25, which equals 5. Similarly, the cube root of a number can be represented using the radical symbol with a small 3, such as ∛27, which equals 3.

In mathematics, a fraction is a number that represents a part of a whole or a collection. It is written as one integer divided by another integer, with a horizontal line between them. The number on the top is called the numerator, and the number on the bottom is called the denominator. Fractions can represent numbers less than one, such as 1/2 or 3/4, or numbers greater than one, such as 5/3 or 7/4. They are used in many everyday situations, such as measuring quantities, dividing food, or expressing probabilities.

First, we simplify the term inside the square root:

√25 = 5

So, 6 - √25 = 6 - 5 = 1

Now we can substitute in the expression:

(6 - √25) / 4 = 1 / 4 =0.25

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The length of the arc is 12π units.

The area of a sector is given by the formula:

Area of sector = θ/360 × πr²

Where θ is the angle subtended and r is the radius

Substituting:

16π = θ/360 × π × 8²

θ = 90° = 0.5π (in radian)

m∠WYX = 2π - m∠WX

m∠WYX = 2π - 0.5π

m∠WYX = 1.5π

Length of arc = θ/360 ×  2πr

Length of m∠WYX = (1.5π)/2π × 2πr

Length of m∠WYX = (1.5π)/2π × 2π × 8

Length of m∠WYX = 12π units.

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If  scores of an IQ test have a bell-shaped distribution with a mean of 100.   a. The percentage of people that has an IQ score between 86 and 114 is: 68% .

b.  About 16% of people have an IQ score less than 86 or greater than 114.

c. About 16% of people have an IQ score greater than 114.

The empirical rule states that for a normal distribution:

(a) To find the percentage of people with an IQ score between 86 and 114, we need to find the percentage of data within one standard deviation of the mean:

   So, about 68% of people have an IQ score between 86 and 114.

(b) To find the percentage of people with an IQ score less than 86 or greater than 114, we need to find the percentage of data outside one standard deviation of the mean:

   So, about 16% of people have an IQ score less than 86 or greater than 114.

(c) To find the percentage of people with an IQ score greater than 114, we need to find the percentage of data beyond one standard deviation above the mean:

   The percentage of data greater than 114 is the percentage outside the range (100, 114), which is half of the remaining 32% from part (a), or 16%

   So, about 16% of people have an IQ score greater than 114.

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Answer:

The slope of the graph is 8

Step-by-step explanation:

For a function to have a slope or gradient, it must be represented in this format as y= mx+c.

Where in this case 8 is m, y is said to be f(x) and c is -11

The volume of the rectangular prism is: 567 cubic inches

The volume of the triangular prism is: 183.6 cubic yards

The volume of the rectangular prism is:

Volume = length x width x height

Volume = 9 in x 7 in x 9 in

Volume = 567 cubic inches

It should be noted that to find the volume of a triangular prism, you need to multiply the area of the base by the height of the prism. In this case, the triangular prism has a base that is a triangle with dimensions of 9 yards by 3.4 yards, and a height of 12 yards. So the volume of the triangular prism is:

Volume = (base area) x height

Volume = (1/2 x base x height) x height

Volume = (1/2 x 9 yd x 3.4 yd) x 12 yd

Volume = 183.6 cubic yards

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(m + n) has a magnitude of approximately 25.8.

We have,

Consider the two vectors as m and n.

To find (m + n), we need to add the two vectors.

To do this, we first need to determine the components of each vector.

Let's call the angle between vector m and the x-axis α, and the angle between vector n and the x-axis β.

Then we have:

|m| = 10, so the x-component of vector m is m_x = 10 cos α and the

y-component is m_y = 10 sin α.

|n| = 15, so the x-component of vector n is n_x = 15 cos β and the

y-component is n_y = 15 sin β.

We also know that the angle between vectors m and n is 75 degrees. Using the dot product, we can find the cosine of this angle:

m · n = |m| |n| cos 75

m · n = 10 * 15 * cos 75

m · n = 37.32

We also know that the dot product is equal to the sum of the products of the corresponding components:

m · n = (m_x) x (n_x) + (m_y) x (n_y)

37.32 = 10 cos α x 15 cos β + 10 sin α * 15 sin β

Now we have two equations with two unknowns:

m_x + n_x = (10 cos α) + (15 cos β)

m_y + n_y = (10 sin α) + (15 sin β)

We can solve for α and β using the equations we just derived:

m_x + n_x = (10 cos α) + (15 cos β)

10 cos α = (m_x + n_x - 15 cos β)

cos α = (m_x + n_x - 15 cos β) / 10

α = arccos[(m_x + n_x - 15 cos β) / 10]

m_y + n_y = (10 sin α) + (15 sin β)

10 sin α = (m_y + n_y - 15 sin β)

sin α = (m_y + n_y - 15 sin β) / 10

α = arcsin[(m_y + n_y - 15 sin β) / 10]

Now we can substitute these values into the equations for m_x + n_x and m_y + n_y to find (m + n):

m_x + n_x = 10 cos α + 15 cos β

m_y + n_y = 10 sin α + 15 sin β

We can use a graphical method to estimate the values of α and β. Start by drawing vector m with length 10 and angle α with respect to the x-axis. Then draw vector n with length 15 and angle β with respect to the x-axis, starting the tail of n at the head of m.

The parallelogram formed by the two vectors will have a diagonal that represents (m + n). Use a ruler to measure the length of this diagonal to the nearest hundredth.

We can use the law of cosines to find the magnitude of (m + n):

|(m + n)|² = |m|² + |n|² + 2|m||n| cos 75

|(m + n)|² = 10² + 15² + 2(10)(15) cos 75

|(m + n)|² = 665.19

|(m + n)| = 25.8 (to the nearest hundredth)

Therefore,

(m + n) has a magnitude of approximately 25.8.

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The digits from 0-9 should Jimmy use to represent him winning is 6-9.

We are given that;

Hockey games won against brother=60%

Now,

Since Jimmy wins 60% of his games, we can assign 0-5 to him winning and 6-9 to him losing. This way, each digit has an equal chance of being selected and the probability of Jimmy winning matches his actual win rate. To simulate two games, we can look at two digits from the random number table and see if they are 0-5 or 6-9. For example, if we see 37, that means Jimmy won the first game and lost the second game. If we see 01, that means Jimmy won both games.

Therefore, by probability the answer will be 6-9.

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The measures of the parts of triangle TBN are:TN = 17.2,BN = 19.4,TB ≈ 17.2,TBN ≈ 31.4°,TNB ≈ 102.6°

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

We can use the Law of Cosines to determine the length of side TB and the Law of Sines to determine the measures of angles TBN and TNB.

Let's start by finding the length of TB:

[tex]c^2 = a^2 + b^2[/tex] - 2ab cos(C)

where c is the length of side TB, a is the length of side TN, b is the length of side BN, and C is the measure of angle TNB.

Plugging in the values we know, we get:

[tex]TB^2 = 17.2^2 + 19.4^2[/tex] - 2(17.2)(19.4)cos(46°)

[tex]TB^2[/tex] = 295.84

TB ≈ 17.2

Now that we know the length of TB, we can use the Law of Sines to find the measures of angles TBN and TNB:

sin(A)/a = sin(B)/b = sin(C)/c

where A, B, and C are the measures of angles TBN, TNB, and TNB, respectively.

We can use the first two ratios to find angle TBN:

sin(TBN)/17.2 = sin(46°)/19.4

sin(TBN) ≈ 0.522

TBN ≈ 31.4°

Finally, we can use the fact that the sum of angles in a triangle is 180° to find angle TNB:

TNB = 180° - TBN - TNB

TNB ≈ 102.6°

So the measures of the parts of triangle TBN are:

TN = 17.2

BN = 19.4

TB ≈ 17.2

TBN ≈ 31.4°

TNB ≈ 102.6°

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The area of the given circle with radius 4 feet is 50.24 square feet.

From the given figure, radius of a circle is 4 feet.

The formula for the area of a circle is A = πr², where r is the radius of the circle.

Here, area of a circle = 3.14×4²

= 3.14×16

= 50.24 square feet

Therefore, the area of the given circle with radius 4 feet is 50.24 square feet.

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Answer:

500 miles

Step-by-step explanation:

if an inch equals 125 miles (m) and a map is 4 inches you can use the equation 4m=x and 4x125=500.

394 subscribers are represented in the venn diagram.

Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.

Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.

according to the venn diagram

196+41+21+52+84 = 394

There are 394 subscribers

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The new coordinates of the image of the shape are

The picture of the graph showing the image is attached

The rule for 90 degrees clockwise rotation is

(x, y) becomes (y, -x)

The rule involves interchanging the coordinates of the ordered pair such that x takes the place of y and y tales the place of x and a change of sign

performing the rotation we have the new coordinates as below

(2, 3) becomes (3, -2)

(2, 2) becomes (2, -2)

(4, 2) becomes (2, -4)

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Answer:

x=3

Step-by-step explanation:

7⁸/7^x=7⁵

Dividing exponents with equal bases is the same as subtracting them.

8-x=5

-x=-3

x=3

Hope this helps!

By answering the presented question, we may conclude that Therefore, the volume of the rectangular solid is 6 cubic units.

In geometry, a coordinate system is a method that uses one or more numbers or coordinates to determine the precise location of points or other geometrical objects on a manifold, such as Euclidean space. Coordinates are pairs of numbers used to locate a point or object on a two-dimensional plane. T

he x and y coordinates of a point on a 2D plane are two numbers that define its location. a set of digits that represent precise locations. In most cases, the figure has two numbers. The first number represents the front-to-back distance, while the second number represents the top-to-bottom distance. As in (12.5), there are 12 units below and 5 units above.

The rectangular solid in the first octant bounded

0 ≤ x ≤ 1, 0 ≤ y ≤ 2, 0 ≤ z ≤ 3

∫[0,1] ∫[0,2] ∫[0,3] 1 dz dy dx

∫[0,2] ∫[0,1] ∫[0,3] 1 dz dx dy

∫[0,3] ∫[0,2] ∫[0,1] 1 dx dy dz

∫[0,3] ∫[0,1] ∫[0,2] 1 dy dx dz

∫[0,2] ∫[0,3] ∫[0,1] 1 dx dz dy

∫[0,1] ∫[0,3] ∫[0,2] 1 dy dz dx

Let's evaluate the first integral:

∫[0,1] ∫[0,2] ∫[0,3] 1 dz dy dx

= ∫[0,1] ∫[0,2] [z]3 dy dx

= ∫[0,1] ∫[0,2] 3 dy dx

[tex]= ∫[0,1] [3y]0^2 dx[/tex]

= ∫[0,1] 6 dx

= [6x]1

= 6

Therefore, the volume of the rectangular solid is 6 cubic units.

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Answer:

1) true

2) false

Step-by-step explanation:

1) area of a square is s²

in this case s²=144. by taking the square root of 144 to solve for s, you get s=12

√144=s=12

2) False because the area for a square is s², and if you plug in 72 into this equation, you get 72²=5184, which isn't the area given in the problem

The equation s^2=144 can be used to find the length of one side of a pyramid with a square base and an area of 144 ft^2, which is true. However, the length of one side is not 72 feet, but rather it is 12 feet.

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Answer:

67.678

Step-by-step explanation:

The exponential function of the graph is y = 2 ( 0.5 )ˣ

Given data ,

Let the exponential function be represented as f ( x )

Now , f ( x ) = y

where y = 2 ( 0.5 )ˣ

And , the base of the exponential function is 0.5, and the coefficient or amplitude is 2. The base of an exponential function determines how fast the function grows or decays, and the coefficient or amplitude determines the vertical stretch or compression of the function.

Hence , the function is y = 2 ( 0.5 )ˣ and the graph is plotted

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[tex]D=\cfrac{1}{2}t(s2-s1)\implies D=\cfrac{t(s2-s1)}{2}\implies 2D=t(s2-s1) \\\\\\ 2D=ts2-ts1\implies 2D+ts1=ts2 \\\\\\ ts1=ts2-2D\implies s1=\cfrac{ts2-2D}{t}[/tex]

Answer:

the length of the opposite side of the triangle is approximately 21.8594 miles                    

Step-by-step explanation:

tan(theta) = opposite/hypotenuse

opposite = tan(theta) x hypotenuse

Substituting the given values, we get:

opposite = 0.7536 x 29

opposite = 21.8594 miles (rounded to four decimal places)

Answer:

my friend will help you with this :)

Step-by-step explanation: