(2t - 4)(3t + 3)
Find the product. Simplify for answer

Answer:

The next year, 900 students will come because 18,000 * 5% = 900

Step-by-step explanation:

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

why are there two of these?
Answer:

53.9

Step-by-step explanation:

89% of all houses have garages and 48% have garages and pools. We try to find houses with a pool that have a garage. Let's assume that there are 100 houses in her neighborhood. then 89 of them have garages and 48 of them have garages and pools. 48 / 89 = about 0.5393. Conver this to percent and we get 53.9

Answer:

i think it is 12 packs of fruit snacks for $9.12

Step-by-step explanation:

the chance to get a yellow marble would be a 1/2 chance or 50%

red would be 1/3 chance or 33.3333% chance

to get a blue marble would be a 1/6 or 0.1666666% chance.

Answer: ok?

Step-by-step explanation:

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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The way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

We got x = 16.54 by using Pythagorean theorem .

What is the Pythagorean theorem in plain English?

angle of semicircle is always be 90° .

   18² = 7.1² + x²

    324 = 50.41 + x²

     x² = 324 - 50.41

          = 273.59

    x = √ 273.59

    x = 16.54

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The solution of the given inequality for the value of x, x ≥ 1/2.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than. Both mathematical phrases, equations, and inequalities are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >,<,≥,≤,≠ or indicate that the two expressions in inequality are not always equal.

Given Data

Equation

\(\frac{4x -7}{2}\) ≥ 4.5

4x - 7 ≥ 9

4x≥2

x ≥ \(\frac{1}{2}\)

For the value of x, x ≥ \(\frac{1}{2}\)

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Answer:

yes I just checked it

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The scaling shown in the attachment is about as close as I can get using an on-line graphing program. You may fare better with graph paper. The vertex and x-intercepts are shown. The values at x=-3 and x=2 are y=11.

Answer:

y = -2/5x -1

Step-by-step explanation:

Parallel lines have the same slope.

y = -2/5x -3/4

y = mx+b  where m is the slope and b is the y-intercept.

The slope is -2/5.

Using this information

y = -2/5x +b

Substituting the point into the equation

-3 = -2/5(5) +b

-3 = -2+b

-1 = b

Now writing the equation in slope intercept form

y = -2/5x -1

We need to remember that a function is a relation between two variables in such a way that the INDEPENDENT variable has EXACTLY one DEPENDENT variable.

Therefore, if we add pairs of numbers to the set, we need to be sure that the value for x must have only, and only one dependent variable. Then, if we add to the set the following points:

(-6,1), (-1, 9), and (3, -2), we have two values for x = -6, x = -1, and x = -2.

And in this case, we do not have a function.

Then, if we add the values to the given set:

(-6,1), (-1, 9), and (3, -2) show that Erin's claim is incorrect.

Answer:

noun. Britannica Dictionary definition of SELLING PRICE. [singular] : the price for which something actually sells. They asked $200,000 for the house, but the eventual selling price was $175,000.

Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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The value of the width in the rectangle is 8cm.

Based on the information, let the width be represented as w.

Let the width be represented as 5 × w = 5w

Perimeter = 96cm

Perimeter of a rectangle = 2(length + width)

Perimeter = 2(5w + w)

96 = 12w

Divide

w = 96/12

w = 8

The value of the width is 8cm.

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Answer:

it's 2 1/2

Step-by-step explanation:

Because 2 box are shade in and the last box is half shade

Answer:

step by step answer at least

Answer:

-15

Step-by-step explanation:

Answer:

theres nothing shown :(

You can create a histogram by creating around 4 classes and then representing the frequency of the data within these classes (see the attachment).

This is a type of graph that visually represents the frequency of data. Due to this, histograms use columns and classes. The classes group data according to specific ranges.

Create the classes and frequency of the data. Here is the way you can do it:

Class - Frequency

2-7 = 3

7-12= 3

12-17= 10

17-22= 7

You can see the graph below

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Answer:

The value is  \(P(X > 3.30) = 0.12405\)

Step-by-step explanation:

From the question we are told that

   The mean GPA is  \(\mu = 3.25\)

   The standard deviation is \(\sigma = 0.75\)

    The sample size is  n  =  300

Generally the standard error of mean is mathematically represented as

     \(\sigma_{\= x} = \frac{\sigma }{\sqrt{n} }\)

=>   \(\sigma_{\= x} = \frac{0.75}{\sqrt{300} }\)

=>   \(\sigma_{\= x} = 0.0433\)

Generally the  probability that a random sample of 300 students will have a mean GPA greater than 3.30 is mathematically represented as

     \(P(X > 3.30) = P(\frac{X - \mu}{\sigma_{\= x}} > \frac{3.30 -3.25}{ 0.0433} )\)

\(\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )\)

    \(P(X > 3.30) = P(Z> 1.155 )\)

From the z table the probability of  (Z >  1.155 ) is

     \(P(Z> 1.155 ) = 0.12405\)

   \(P(X > 3.30) = 0.12405\)

To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.

Let's choose some x-values and calculate the corresponding y-values:

For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4

For x = -1, y = 4(4)^(-1) = 4(1/4) = 1

For x = 0, y = 4(4)^0 = 4(1) = 4

For x = 1, y = 4(4)^1 = 4(4) = 16

For x = 2, y = 4(4)^2 = 4(16) = 64

Now we can plot these points on a coordinate plane and connect them to form the graph of the function.

The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.

The domain of the function is all real numbers since there are no restrictions on the values of x.

The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.

Here ya go! Hope this helps!! :D

Answer:

-629.88

Step-by-step explanation:

Total winnings/losses for 543 plays=Expected payoff ⋅ Number of plays=−$1.16⋅543=−$629.88

Explanation:

The graph shows a ine crossing the parabola. The solution of the systems is the point where both system of equations intersect.

The line crosses the parabola at two point:

At x = 2, y = 2

This point is applicable to both. Since both have same values at this point, (2, 2) is one of the solution

At x = -2, y = -6

Both graphs have this point . This shows point (-2, -6) is also a solution

Hence, the solutions of the systems are (2, 2) and (-2, -6)

Answer:

72 minutes

Step-by-step explanation:

You need to set up 2 fractions and set them equal to one another to be able to solve this.

Equation: 4km/18min = 16km/x min

You need to find x. In order to do this you can use that butterfly method/cross multiplication. You do 4 times set equal to 18*16.

Next, you get 18*16=288 and you must divide the other side (4x) to get your final answer. So, 288/4= 72 minutes.

Hope this was helpful!

Step-by-step explanation:

6

11х3-2=33-2=31

(16-6):2=10:2=5

5+4х9=5+36=41

The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Based on the information provided regarding the equations and graphs, the y-intercept are as follows:

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Answer:

\(V_2 = 37.5\)

Step-by-step explanation:

Given

\(Volume = 16\)

Represent the height of the smaller cylinder with h and its radius with r.

The height (H) of the larger cylinder is

\(H = h + 50\% * h\)

And the radius (R) is;

\(R = r + 25\% * r\)

Required

Determine the volume of the larger cylinder

Volume of the smaller cylinder is:

\(V_1 = \pi r^2h\)

Substitute 16 for V1

\(16 = \pi r^2h\)

While the volume of the larger cylinder is:

\(V_2 = \pi R^2H\)

We have that:

\(H = h + 50\% * h\) and \(R = r + 25\% * r\)

--------------------------------------------------------------------------------------------------------------

Simplify both expressions

\(H = h + 50\% * h\)

\(H = h + 0.50*h\)

\(H = h + 0.50h\)

\(H = 1.50h\)

\(R = r + 25\% * r\)

\(R = r + 0.25*r\)

\(R = r + 0.25r\)

\(R = 1.25r\)

--------------------------------------------------------------------------------------------------------------

Substitute values for R and H in \(V_2 = \pi R^2H\)

\(V_2 = \pi * (1.25r)^2 * 1.50h\)

\(V_2 = \pi * 1.5625r^2 * 1.50h\)

Collect Like Terms

\(V_2 = 1.50 * 1.5625* \pi*r^2 * h\)

\(V_2 = 2.34375* \pi*r^2 * h\)

\(V_2 = 2.34375* \pi r^2h\)

Recall that: \(16 = \pi r^2h\)

\(V_2 = 2.34375* 16\)

\(V_2 = 37.5\)

Hence, the volume of the larger cylinder is 37.5