Find the domain, range, and if it’s a function of the graph.

Answer:

Step-by-step explanation:

y+3 = 7(x-9)

Analysis of variance is used to test for equality of several population means.

ANOVA could also be utilized to predict the dependent variable of even more with around 2 categories and seems to be compared to the general population extra influential throughout this circumstance.

Throughout addition, ANOVA variants typically include covariates that encourage somebody to manipulate numerically for confounding factors as well as to recognize interactions wherein the factor progressives the implications of some other factor.

ANOVA (Analysis of Variance) was developed by Ronald Fisher.

ANOVA means the Analysis of Variance, is collection of statistical models & linked estimation processes, like variation among & between groups. It is used in analyzing differences among various means.

Therefore, Analysis of variance is used to test for equality of several population means.

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Answer:1(d)+.25(q)+.01(p)

Step-by-step explanation:you do not need an explanation please bro

Answer: 102 degrees

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same length which means that two angles are congruent as well.

180-(2(39))

=180-(78)

=102

Answer:

16.46

Step-by-step explanation:

subtract 315.24-200=115.24

then divide 115.24 and 7 to see what you get each year which is 16.46 rounded not rounded id 16.462857143.

Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

Answer:

Step-by-step explanation:

As given

p = k/q ( p varies inversely to q)

k = pq

k = (8)(28)

k = 224

Now,

p = 32

q = ?

Use p = k/q expression,

q = k/p

q = 224/32 ( we find k which is equal to 224)

q = 7.

I hope it will help. Enjoy

To find out how much more total rainfall one city had compared to the other, we can use the equation:Total rainfall for City A - Total rainfall for City B = Difference in rainfallLet x be the total rainfall for City A and y be the total rainfall for City B.

Then the equation can be written as:x - y = Difference in rainfallWe can solve for the difference in rainfall by substituting the given values for x and y and solving for the variable. For example, if City A had 50 inches of rainfall and City B had 30 inches, we can plug those values into the equation:x - y = Difference in rainfall50 - 30 = Difference in rainfall20 = Difference in rainfall

Therefore, City A had 20 more inches of total rainfall than City B. The variables x and y represent the total rainfall for City A and City B, respectively. The variable "Difference in rainfall" represents the difference in total rainfall between the two cities.

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Answer:

240, 360, 800

Step-by-step explanation:

We can call the numbers 3x, 7x, and 10x and then we can write:

3x + 7x + 10x = 1600

20x = 1600

x = 80 so the numbers are 3 * 80 = 240, 7 * 80 = 560 and 10 * 80 = 800.

Answer:

subtract 8 from both sides

Step-by-step explanation:

Answer: 4.1 feet : 4 feet

Step-by-step explanation:

From the question, we are informed that Bradley estimated the height of a tree at 2.5 meters. Carla estimated that tree's height at 8 feet.

The conversion ratio be used to compare Bradley's and Carla's estimates of the tree's height when measured in feet goes thus:

Since 1 feet = 0.305 meters

2.5 meters will be = 2.5/0.305 = 8.2 feet

Therefore the conversion ratio will be:.

= 8.2 : 8

Reducing to lowest term will be

= 4.1 feet : 4 feet.

= 4.1 : 4

In linear equation, 72 campers can you fit if you have 12 tents.

What is a linear equation in math?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

there are six campers per tent.

no of tents = 12

 campers can you fit = 12 * 6

                               = 72

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The piecewise relation which defines a function is option B.

A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable.

In Science, there are different types of functions and these include the following;

A piecewise-defined function refers to a type of function that is defined by two (2) or more mathematical expressions (equations) over a specific domain. As an example, we have:

\(F(x)=\left \{ {{x^3-4} \atop {x+3}} \right.\)

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Answer:

27/28

Step-by-step explanation:

27/32 / 7/8, first flip 7/8 to 8/7

27/32 x 8/7 = 27/28

Answer: x (2) + 26 > 40  is for 1.

For number 2 it's x > 7

for number 3 its unknown because u have to manually do it. and the answer is on the graph, i hope this helped, cya!

Step-by-step explanation:

Answer:

It looks different. Can you provide some formulae based on it. I may help you out in the comment section!

The diameter of the circle is 48 in.

A circle's sector is a pie-shaped portion made up of the arc and its two radii. At both ends of the arc, when a section of the circle's circumference (also known as an arc) and two of its radii meet, a sector is produced. A sector of a circle resembles a piece of pizza or a pie in shape.

As per the given data:

Central angle of the sector (θ) = 30°

Area of the sector (A) = 150 in²

A = (1/2) × r² × θ {where θ is in radian and r is radius}

Converting 30° to radian.

= 30 × (π/180)

= π/6

150 = (1/2) × r² × π/6

r = √(1800/π)

r = √(576)

r = 24 in

Diameter = 2r

= 2 × 24 in

= 48 in

Hence, the diameter of the circle is 48 in.

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Answer:

Step-by-step explanation:

The solution to the given differential equation with the given initial conditions is:

\(y(t) = (-1/4)cos(2t) + (1/2)t*sin(2t) - 4t - 1\)

We are given the differential equation and initial conditions as:

\(y''(t) = cos(2t), y(0) = -1, y'(0) = -4\)

To solve this differential equation, we first find the general solution by integrating both sides of the differential equation:

\(y''(t) = cos(2t)\\∫ y''(t) dt = ∫ cos(2t) dt\\y'(t) = (1/2)sin(2t) + C1\)

Integrating again with respect to t, we get:

\(y(t) = (-1/4)cos(2t) + (1/2)t*sin(2t) + C1t + C2\)

Using the initial condition y(0) = -1, we get:

\(y(0) = (-1/4)cos(0) + (1/2)(0)*sin(0) + C1(0) + C2 = -1\)

So, C2 = -1.

Differentiating the expression for y(t), we get:

\(y'(t) = (1/2)sin(2t) + C1\)

Using the initial condition y'(0) = -4, we get:

\(y'(0) = (1/2)sin(0) + C1 = -4\)

So, C1 = -4.

Substituting the values of C1 and C2 in the expression for y(t), we get:

\(y(t) = (-1/4)cos(2t) + (1/2)t*sin(2t) - 4t - 1\)

Therefore, the solution to the given differential equation with the given initial conditions is:

\(y(t) = (-1/4)cos(2t) + (1/2)t*sin(2t) - 4t - 1\)

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The sample size is needed to achieve a margin of error of .05 for a 90% confidence interval for a proportion of interest to be near 0.25 is equals to the 203.

From the above problem we have,

Mardin of error, E = 0.05

confidence interval, α = 90%

proportion of interest, p = 0.25

We have to determine the sample size.

Using the formula for minimum sample size is written as n = (Z² × p(1 -p)]/E² --(1)

Using the Z-distribution table and the z-score value for 90% is equals to 1.645.

Plug all known values in above equation,

=> n = [(1.645)² × 0.25 ( 1 - 0.25)]/(0.05)²

=> n = (1.645)² × 0.25 ×0.75/(0.05)²

=> n = 0.5074/0.0025

=> n = 202.96 ~ 203

Hence, required sample value is 203

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There are 330 ways to select 7 seed packets out of 11.

To count the number of ways to select 7 seed packets out of 11, we can use the combination formula:

\(( \frac {k}n )= k!(n-k)!n!\)

where n is the number of items to choose from, and k is the number of items to choose. In this case, n=11 and k=7.

Plugging these values into the formula, we get:

\(( \frac{7}{11})= 7!(11-7)!11!\)

Simplifying the factorials, we get:

\(( \frac{7}{11})= \frac{7\times 6\times 5\times 4\times 3\times 2\times 1}{11\times 10\times 9\times 8\times 7\times 6\times 5}\)

Simplifying further, we get:

\(( \frac{7}{11} )= \frac{4\times 3\times 2\times 1}{11\times 10\times 9\times 8}\)

Simplifying again, we get:

\((\frac{11}7)=330\)

Therefore, there are 330 ways to select 7 seed packets out of 11.

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Answer:

D) is the right answer.

Hope it helps!

Thanks!

Answer:

I believe the correct answer is C) An angle that measures 40° is an acute angle. I'm not 100% sure if this is the correct answer.

The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

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Answer:

t = 2 seconds

Step-by-step explanation:

Given that,

h = -16\(t^{2}\) + 64 t

where h and t have their usual meaning.

To determine the number of seconds required of the ball to hit the ground, differentiate the given equation with respect to t.

0 = -32 + 64

So that,

32t = 64

t = \(\frac{64}{32}\)

t = 2

The ball will hit the ground in 2 seconds.

let $p$ and $q$ be the two distinct solutions to the equation$$\frac{4x-12}{x^2 2x-15}=x 2.$$if $p > q$. The value of $p - q$ is 4.

To find the value of $p - q$, we first need to solve the given equation and determine the values of $p$ and $q$.

The equation is:

$$\frac{4x-12}{x^2 - 2x - 15} = x^2.$$

Step 1: Factorize the denominator:

The denominator can be factored as $(x - 5)(x + 3)$.

Step 2: Simplify the equation:

$$\frac{4x-12}{(x - 5)(x + 3)} = x^2.$$

Step 3: Multiply both sides of the equation by $(x - 5)(x + 3)$ to eliminate the denominator:

$$(4x - 12) = x^2(x - 5)(x + 3).$$

Step 4: Expand and rearrange the equation:

$$4x - 12 = x^4 - 2x^3 - 15x^2 + 25x.$$

Step 5: Rearrange the equation and combine like terms:

$$x^4 - 2x^3 - 15x^2 + 21x - 12 = 0.$$

Step 6: Factorize the equation:

$$(x - 3)(x + 1)(x - 2)(x + 2) = 0.$$

From this, we get four possible solutions: $x = 3$, $x = -1$, $x = 2$, and $x = -2$.

However, we are interested in the two distinct solutions $p$ and $q$, where $p > q$. Therefore, the values of $p$ and $q$ are $p = 3$ and $q = -1$.

Finally, we can find the value of $p - q$:

$$p - q = 3 - (-1) = 3 + 1 = 4.$$

Hence, the value of $p - q$ is 4.

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The marked angles in Fig. 13.25 are 96 degrees and 72 degrees.

In Fig. 13.25, we have two parallel lines AB and CD. We also have a transversal XY that intersects these two parallel lines. We need to find the marked angles, which are 4x and 3x.

Step 1: Identify the pairs of corresponding angles.

The corresponding angles are the ones that are on the same side of the transversal and in the same position with respect to the parallel lines.

The corresponding angles are equal. For example, angle AXY and angle CYX are corresponding angles and are equal. Similarly, angle BYX and angle DXY are corresponding angles and are equal. We can write the corresponding angles as follows: Angle AXY = angle CYXAngle BYX = angle DXYStep 2:Identify the pairs of alternate interior angles.

The alternate interior angles are the ones that are on opposite sides of the transversal and in the same position with respect to the parallel lines.

The alternate interior angles are equal. For example, angle BXY and angle CXD are alternate interior angles and are equal. Similarly, angle AYX and angle DYC are alternate interior angles and are equal. We can write the alternate interior angles as follows:

Angle BXY = angle CXDAngle AYX = angle DYCStep 3:Identify the pair of interior angles on the same side of the transversal. The interior angles on the same side of the transversal are supplementary. That is, their sum is 180 degrees.

For example, angle AXY and angle BYX are interior angles on the same side of the transversal, and their sum is 180 degrees. We can write this as follows: Angle AXY + angle BYX = 180Step 4:Use the relationships we have identified to solve for x.

We can start by using the relationship between angle BXY and angle CXD, which are alternate interior angles. We have angle BXY = angle CXD4x = 3x + 10x = 10Next, we can use the relationship between angle AXY and angle BYX, which are interior angles on the same side of the transversal.

We have:angle AXY + angle BYX = 180(3x + 10) + 4x = 1807x + 10 = 1807x = 170x = 24Finally, we can substitute x = 24 into the expressions for 4x and 3x to find the marked angles. We have:4x = 4(24) = 963x = 3(24) = 72Therefore, the marked angles in Fig. 13.25 are 96 degrees and 72 degrees.

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Step-by-step explanation:

\(s = \pi \times {r}^{2} = \pi \times {6}^{2} = 36\pi\)

\(h = 18 \times \sin(60) = 9 \sqrt{3} \)

\(v = s \times h = 36\pi \times 9 \sqrt{3} = 324 \sqrt{3} \pi\)