Dean set a goal to do more than 900 push-ups this month. So far, he has done 230 push-ups, and there are 20 more days remaining this month. Dean will do the same number of push-ups on each remaining day.

Part A

Create an inequality that represents the number of push-up, p
, Dean must do on each remaining day to reach his goal.

Enter your inequality in the box.

a


Part B

What is the minimum number of push-ups Dean must do on each remaining day to reach his goal?

Enter a number in the box.

Answer:

Below

Step-by-step explanation:

First ball 1        then second ball makes  2 3 4

First ball2         then second makes a        3 4 5

First ball 3       then second makes a             4 5 or 6

  you can see that '4' is the most likely

Answer:

15 = 9 + j

Step-by-step explanation:

"15 is 9 more than j"

"15 is"  may be written as "15 ="

"9 more than j" may be written as "9+j"

Put these two expression together:

15 = 9 + j

The length of the addition to the room will be 8 feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that Teri has a living room that is 9 feet wide and has an area of 108 square feet. She is adding to the room. The remodelled living room will have a total area of 180 square feet.

The added length will be calculated as:-

TA = A₁ + A₂

180 = 108 + 9x

72 = 9x

x = 72 / 9

x = 8 feet

Therefore, the length of the room addition will be 8 feet.

To know more about the area of the rectangle follow

https://brainly.com/question/25292087

#SPJ1

Answer and Step-by-step explanation:

To graph the equation with a slope of -2 and a y-intercept of 6, we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting in the given values, we get:

y = -2x + 6

To graph this line, we can start by plotting the y-intercept, which is the point (0, 6). Then, we can use the slope to find additional points on the line. The slope of -2 means that for every increase of 1 in the x-direction, the y-value decreases by 2. So, we can plot another point by starting at the y-intercept and moving down 2 units and to the right 1 unit. This gives us the point (1, 4). We can continue this pattern to plot more points and draw the line.

Here's what the graph looks like:

Step-by-step explanation:

We are given the slope -2 and the y intercept -6. So we can create a linear equation using this data:

[tex]y=-2x+6[/tex]

Now all we have to do is graph it.

(graph below)

Answer:

v=9+√481 20,  9−√481 20

Step-by-step explanation:

Answer:

f(n)= f( n-1 ) + 6

The statements that are true about object-oriented analysis are: b) Control classes receive or handle system events, c) encapsulate behavior of use case, d) implement the controller pattern.

Object-oriented analysis and design (OOAD) is a technical method for analyzing and planning an application, system, or business using object-oriented programming and visual modeling to direct stakeholder communication and product quality throughout the software development process.

Modern software engineering practices typically involve iterative, incremental OOAD. Analysis models for OOA and design models for OOD are the byproducts of OOAD activities, respectively. The goal is for these to continuously improve and change, guided by important factors like risks and business value.

To learn more about object-oriented analysis: https://brainly.com/question/30551374

#SPJ4

Note that the full question is:

Which statements are true about control classes in object-oriented analysis? Select all that apply.

a) Control classes manage data structures.

b) Control classes receive or handle system events.

c) Control classes encapsulate behavior of use case.

d) Control classes implement the controller pattern.

Using the triangle inequality theorem, the combination of side lengths, in cm, that could make a triangle for the quilt are:

12, 35, 37

16, 30, 34

20, 21, 29

The Triangle Inequality Theorem is a fundamental theorem in geometry that states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

More formally, given a triangle with sides a, b, and c, the Triangle Inequality Theorem states:

a + b > c

b + c > a

a + c > b

If any of these inequalities is not true, then the three sides cannot form a triangle.

Using the Triangle Inequality Theorem, we can check which of these sets of numbers can form the sides of a triangle:

For the first set of numbers (12, 35, 37):

12 + 35 > 37 (True)

35 + 37 > 12 (True)

12 + 37 > 35 (True)

Therefore, the numbers 12, 35, and 37 can form the sides of a triangle.

For the second set of numbers (16, 30, 34):

16 + 30 > 34 (True)

30 + 34 > 16 (True)

16 + 34 > 30 (True)

Therefore, the numbers 16, 30, and 34 can form the sides of a triangle.

For the third set of numbers (18, 24, 42):

18 + 24 > 42 (False)

24 + 42 > 18 (True)

18 + 42 > 24 (True)

Therefore, the numbers 18, 24, and 42 cannot form the sides of a triangle.

For the fourth set of numbers (20, 21, 29):

20 + 21 > 29 (True)

21 + 29 > 20 (True)

20 + 29 > 21 (True)

Therefore, the numbers 20, 21, and 29 can form the sides of a triangle.

Learn more about the triangle inequality theorem on:

https://brainly.com/question/309896

#SPJ1

The surface area of the right rectangular prism is 652 ft²

The surface area of a right rectangular prism is expressed as;

SA = 2( wl + hl + hw )

From the diagram;

Plug the values into the above formula and solve for the surface area.

SA = 2( wl + hl + hw )

SA = 2( (7×8) + (18×8) + 18×7 )

Simplify

SA = 2( 56 + 144 + 126 )

SA = 2( 326 )

SA = 652 ft²

Therefore, the surface area of the prsim is 652 ft².

Learn about volume of a rectangular prism here: https://brainly.com/question/9796090

#SPJ1

The total marginal cost of using 8 bottles is $8.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Marginal utility of 1 bottle of Gatorade costs =  1$

Now,

The total marginal cost of using 8 bottles.

= 8 x $1

= $8

Thus,

The total marginal cost of using 8 bottles is $8.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The complete question:

Marginal utility of 1 bottle of Gatorade that costs 1$.

Find the total marginal cost for using 8 bottles of Gatorade.

The volume of Miriam’s popcorn container is 71.875 inches³.

Volume is defined as the set of three dimensional coordinates enclosed by a two - dimensional surface. We can write the volume as -

V = ∫∫∫f(x, y, z) dxdydz

Given is that Miriam’s popcorn container is 11.5 inches high but with a base whose side length is 2.25 inches.

We can write the volume of Miriam’s popcorn container as -

V = Area of base x height

V = (2.25 x 2.25) x (11.5)

V = 71.875 inches³

Therefore, the volume of Miriam’s popcorn container is 71.875 inches³.

To solve more questions on volumes, visit the link below -

https://brainly.com/question/10498558

#SPJ1

The rate of the canoe in still water is 5 miles per hour, and the rate of the current is 1 mile per hour.

Let's use the letters "c" for the canoe's speed in still water and "r" for the current's speed. The formula is as follows:

Rate times distance

establishing two equations, one for the upstream trip and one for the downstream trip.

Trip downstream:

12 miles is the distance.

rate = c plus r. (since the current is helping them)

t = two hours

We thus have:

12 = (c + r) × 2

When we simplify this equation, we obtain:

6 = c + r

Trip upstream:

12 miles is the distance.

rate equals c-r (since they are now going against the current)

three hours.

We thus have:

12 = (c - r) × 3

When we simplify this equation, we obtain:

4 = c - r

There are now two equations:

6 = c + r

4 = c - r

By combining the two equations, we may find the value of one of the variables:

6 + 4 = 2c

If we simplify, we get:

10 = 2c

When you divide both sides by 2, you get:

c = 5

To solve for the other variable, we may now re-insert this value into one of the equations. Let's apply the formula:

6 = c + r

With c = 5, we obtain:

6 = 5 + r

5 is subtracted from both sides to yield:

r = 1

In still water, the canoe moves at a rate of 5 miles per hour, while the current moves at a rate of 1 mile per hour.

To know more similar question visit:

https://brainly.com/question/13000535

#SPJ1

The area of the shaded sector is given as follows:

24π cm².

The length of the arc is given as follows:

2π.

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr²

The radius is the distance of the center of the circle to a point on the circumference of the circle, hence:

r = 12.

The entire area has an angle measure of 360º, hence the area of the sector with a central angle of 60º is given as follows:

A = 60/360 x π x 12²

A = 24π cm².

The circumference of a circle is given as follows:

C = 2πr.

Hence the length of the arc is given as follows:

C = 2 x 60/360 x π x 6

C = 2π.

More can be learned about the area of a circle at https://brainly.com/question/15673093

#SPJ1

Answer: $1.9

Step-by-step explanation:

A null space calculator finds the null space of a matrix used in linear algebra.

An invalid space mini-computer is a web-based instrument used to track down the invalid space, otherwise called the portion, of a framework. The invalid space of a framework is the arrangement of all vectors that fulfill the condition Ax= 0, where An is the lattice and x is the vector of questions. The invalid space can be utilized to decide if an arrangement of straight conditions is steady or not, and to find the reason for the arrangement space. An internet based invalid space number cruncher permits clients to enter a network and get the invalid space, as well as different properties like the position, determinant, and eigenvalues of the framework. This can be helpful for understudies and experts in fields like science, physical science, and designing who need to address frameworks of straight conditions and dissect the properties of networks.

To learn more about null space, refer:

https://brainly.com/question/29975914

#SPJ4

The magnitude and direction of the vector is 7.3 units and 15.9° north of east respectively.

option B.

To find the magnitude and direction of MN, we can use the distance formula and trigonometry.

The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Using the coordinates of M(-3,-2) and N(4,0), we get:

d = √((4 - (-3))² + (0 - (-2))²)

d = √(49 + 4)

d = √(53)

d ≈ 7.3 units

To find the direction, we can use trigonometry. We can first find the angle between the line and the positive x-axis using:

tan θ = (y₂ - y₁)/(x₂ - x₁)

tan θ = (0 - (-2))/(4 - (-3))

tan θ = 2/7

θ = arc tan (2/7) =  15.9°

Learn more about magnitude of vector here: https://brainly.com/question/3184914

#SPJ1

The mathematical phrase "e to the ipi" is composed of the imaginary unit i (the square root of -1 raised to the power of pi), which is symbolized by "pi," and the mathematical constant "e" (Euler's number).

The expression "e to the ipi" may be expressed as follows:

[tex]e^{(i*pi)}[/tex]

The following formula is known as Euler's formula:

[tex]e^{(ipi)}[/tex] = cos(pi) + isin(pi)

where "cos" and "sin" are the sine and cosine functions, respectively.

We may reduce this formula to using the cosine and sine trigonometric identities.

[tex]e^{(i*pi)}[/tex] = -1

"e to the ipi" hence equals a negative one. This startling and outstanding finding ties together various crucial mathematical ideas, including calculus, complex numbers, and trigonometry.

Learn more about Euler's number at

https://brainly.com/question/6459192

#SPJ4

From the decimal theory 10 has no decimal places, as it is a whole number.

As per the data given in the above question are as bellow,

The provided details are as bellow,

We have given the number as 10.

we have to find the decimal in the given number.

Thus we have to know about decimal value.

The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal. Up until there are no more digits, the remaining ones keep the place values filled in.

Here don't have any decimal value in the given number 10.

For such more question on decimal

https://brainly.com/question/28393353

#SPJ4

Using the laws of exponents, we can rewrite the expression as:

b^4 * b^(-1/4) = b^(4 - 1/4) Simplifying the exponent, we get:

b^(15/4). Therefore, the expression in the form bn is b^(15/4).

To rewrite the expression b^4 * b^(-1/4) in the form bn, we need to apply the laws of exponents. The law of exponents states that when multiplying two powers with the same base, we can add the exponents. In this case, we have b^4 multiplied by b^(-1/4), which means that we have the same base b. Using the law of exponents, we add the exponents 4 and -1/4 to get 4 - 1/4 = 15/4. Thus, we have simplified the expression b^4 * b^(-1/4) to b^(15/4). This is in the form of bn, where b is the base and n is the exponent. Therefore, the expression b^4 * b^(-1/4) is equivalent to b^(15/4).

To know more about rewriting an expression in the form bn, visit:https://brainly.com/question/30291255

#SPJ1

The speed of the bullet is 1000 m/s when A 10 kg gun recoils with a speed of 0.1 m/s after it fires a 0.001 kg bullet.

As we know that here gun + bullet system is isolated from all other external force systems

so here the momentum of the system is always conserved

so we will say

m₁v₁i + m₂v₂i = m₁v₁f + m₂v₂f

here we know that

v₁i = v₂i = 0

m₁ = 10kg

m₂ = 0.001kg

v₁f = 0.1m/s

now we will have

0+0  = 10(0.1) + 0.001v₂f

by solving the above equation we will have

v₂f = 1000m/s.

Learn more about speed:

https://brainly.com/question/312131

#SPJ4

The correct question is:

A 10 kg gun recoils with a speed of 0.1 m/s after it fires a 0.001 kg bullet. What is the speed of the bullet?

Answer:

  λ = 3

Step-by-step explanation:

You want the value of λ that places point C = λ(i -3j) on the line between A(-5i -11j) and B(23i -4j).

The parameterized line between A and B is ...

  P = A +t(B -A)

where P is a point on AB. We can set P = C to find the value of t that identifies the point on AB. Comparing that to C, we can determine the value of λ.

  λ(i -3j) = -5i -11j +t(23i -4j -(-5i -11j)) = (-5+28t)i +(-11 +7t)j

Equating components gives two equations in the unknowns λ and t:

Multiplying the second equation by -4 and adding the first gives ...

  -4(-3λ) +λ = -4(-11 +7t) +(-5 +28t)

  13λ = 39 . . . . . . . simplify

  λ = 3 . . . . . . . . . divide by 13

Answer:

h = 9.9

b = 4.6

Step-by-step explanation:

The first triangle is an isosceles right triangle
The base leg = vertical leg = 7

diagonal = 7√2 = 9.9  (rounded to nearest tenth)

h = 9.9

For the 30-60-90 triangle
if the vertical leg is x, the base leg = vertical leg / √3 = 8/√3 = 4.6

b = 4.6

When t = 4, the expression 3⋅2ᵗ evaluates to 48.

Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the given expression, all of which are separated by the arithmetic sign +.

An expression consists of one or more numbers or variables along with one more operation.

When t=4, the expression 3⋅2ᵗ evaluates to:

3⋅2⁴ = 3⋅16 = 48

Hence, when t = 4, the expression 3⋅2ᵗ evaluates to 48.

To learn more about expression, Visit

https://brainly.com/question/1859113

#SPJ1

Answer:  A

Step-by-step explanation:

Benny's Pizza

13.60 + 2.50(3)

13.60 + 7.50

21.10

Ricco's Pizza

14.60 + 2(3)

14.60 + 6

21.60

Answer:

a=3

Step-by-step explanation:

the sum of anterior angle of a triangle is =180

57+81+14a=180

138+14a=180

42=14a

42/14=14a/14

3=a

therefore a=3.

please mark me the brainliest.

The correct option is (d) if A is divided by 2, B is divided by approximately 1.414.

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
If A varies inversely as the square of B, it means that A is equal to some constant k divided by the square of B:

A = k/B²

To find the effect on B when A is multiplied by 4, we can use the inverse variation formula and substitute 4A for A,

4A = k/B^2

Simplifying this expression, we get:

B² = k/(4A)

To find the effect on B when A is multiplied by a certain factor, we can use this formula and substitute the new value of A,

a) If A is multiplied by 1.5:

1.5A = k/B²

B² = k/(1.5A)

The effect on B depends on the value of k and the original value of B, which are not given. So we cannot determine the effect on B with the information given.

b) If A is multiplied by 4:

4A = k/B²

B² = k/(4A)

Since 4A is four times the original value of A, B^2 will be divided by 4, so B will be multiplied by √4, which is 2. Therefore, when A is multiplied by 4, B is multiplied by 2.

c) If A is multiplied by 2:

2A = k/B²

B^2 = k/(2A)

Since 2A is half the original value of A, B^2 will be multiplied by 2, so B will be divided by √2, which is approximately 1.414. Therefore, when A is multiplied by 2, B is divided by approximately 1.414.

d) If A is divided by 2:

A/2 = k/B²

B² = k/(A/2)

Since A/2 is half the original value of A, B² will be multiplied by 2, so B will be divided by √2, which is approximately 1.414. Therefore, when A is divided by 2, B is divided by approximately 1.414.

Therefore, the correct option is (d) if A is divided by 2, B is divided by approximately 1.414.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ1

43% of the total trip had they travelled when Tallulah fell asleep

percentage, a relative value indicating hundredth parts of any quantity.

Given that Tallulah's family took a road trip to the Grand Canyon.

Tallulah slept for the last 129 miles of the trip.

the total length of the trip was 300 miles

We have to find the percentage of the total trip had they travelled when Tallulah fell asleep

x/100×300=129

3x=129

Divide both sides by 3

x=43%

Hence, 43% of the total trip had they travelled when Tallulah fell asleep

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

Answer:

The transformation of stretching the function vertically by a factor of 4 means that every y-value of f(x) is multiplied by 4, so the new function is:g(x) = 4sin(x)The transformation of shifting the function downward by 3 units means that the entire graph is shifted downward by 3 units, so we subtract 3 from the y-value of g(x), giving:g(x) = 4sin(x) - 3Therefore, the equation of the new function g(x) is g(x) = 4sin(x) - 3

Step-by-step explanation: hope this helps0^0