13. (-3,-1), (5, -1)
15. (0, 0), (3, 4)
17. (-2, 0), (5,0)
14. (-4,-3), (1, 1)
16. (-1, 2), (2, -3)
18. (0, -8), (0, -1)
Find the distance between each pair of points.

Mr. Smith needs approximately 27,876.4 cm³ of air to inflate 5 soccer balls, assuming there is no air leakage and the soccer balls are perfectly spherical.

To find out how much air is needed to inflate 5 soccer balls,

We first need to calculate the volume of one soccer ball. We can use the formula for the volume of a sphere:

V = (4/3)πr³, where V is the volume and r is the radius.

Since we are given the diameter of each soccer ball, we need to divide it by 2 to get the radius

.r = d/2 = 22/2 = 11 cm

Substituting this value into the formula, we get:

V = (4/3)π(11)³V ≈ 5575.28 cm³

Now we can calculate the total volume of air needed to inflate 5 soccer balls by multiplying the volume of one ball by 5:

Total volume = 5V ≈ 5(5575.28) ≈ 27,876.4 cm³

Therefore, Mr. Smith needs approximately 27,876.4 cm³ of air to inflate 5 soccer balls, assuming there is no air leakage and the soccer balls are perfectly spherical.

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Answer:

y = mx + b

Step-by-step explanation:

so you first put the points on the graph and connect them with a slanted line.

Next, for your equation start of with y =

then, your going to find your slope, after you find it put it in front of x (slope x) (Ex; if the slope was 3 then it would look like this 3x)

finally you write + and the y intercept (at which point the line goes through the y axis)

the equation together should look like y = slope x + y intercept

Answer:

\( - 2x + 5y = 20 \\ 5y = 2x + 20 \\ y = \frac{2}{5} x + 4 \\ slope = \frac{2}{5} \\ y - intercept = 4\)

The equation of the line is y = -(3/4)x - 6.

A line is a perfectly straight, one-dimensional shape that extends endlessly in both directions and has no thickness.

Given that, the line passes through the points (-4,-3) and has a slope of -3/4.

The equation of the line in point-slope form is:

y - y₁= m (x -x ₁)

Substitute (x₁,y₁) = (-4,-3) and m = -3/4 into the above equation,

y - (-3) = -3/4 (x - (-4))

y + 3 = -3/4 (x + 4)

y = -(3/4)x -3 -3

y = -(3/4)x - 6

Hence, the equation of the line is y = -(3/4)x - 6.

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Investor purchased 50 shares of stock in a company for $40.

So, the total initial amount he invested is

Then the rate of return is:

So, the requied rate of return is 10.0%.

Answer:

11 im pretty sure y = 11 in your question

Answer:

\(a = 4\)

Step-by-step explanation:

We are given that the polynomial:

\(\displaystyle x^3 - ax^2 - 2x + 2a + 6\)

Has the remainder (a + 2) when divided by (x - a), and we want to determine the value of a.

Recall that from the Polynomial Remainder Theorem, when dividing a polynomial P(x) by a binomial (x - a), the remainder will be given by P(a).

Since the remainder is (a + 2) when divided by (x - a), P(a) must equal (a + 2):

\(\displaystyle P(a) = a+2\)

Substitute:

\(\displaystyle (a)^3 - a(a)^2 -2(a) + 2a + 6 = a + 2\)

Simplify and solve for a:

\(\displaystyle \begin{aligned} a^3 - a^3 - 2a + 2a + 6 &= a + 2 \\ \\ 6 &= a+2 \\ \\ a &= 4\end{aligned}\)

In conclusion, the value of a is 4.

A slope parameter of β1 = 3.52 in a simple linear regression model suggests that there is a positive and direct relationship between the independent variable (x) and the dependent variable (y).

Specifically, for every one unit increase in the independent variable (x), the dependent variable (y) is expected to increase by an average of 3.52 units. This indicates a positive linear association between x and y, implying that as x increases, y tends to increase as well.

The magnitude of the slope parameter (3.52) also indicates the steepness of the relationship. A larger slope suggests a stronger relationship, indicating that the change in y for a given change in x is relatively large.

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Answer: x=4.7°

Step-by-step explanation:

\(m\angle PQS=119^0\\\angle PQR+\angle RQS=\angle PQS\\72^0+(10x)^0=119^0\\72^0+(10x)^0-72^0=119^0-72^0\\10(x^0)=47^0\\\)

Divide both parts of the equation by 10:

\(x=4.7^0\)

Answer:

525

Step-by-step explanation:

So its 25 a day and hes doing it for 21 days because 7*3=21.

so 25*21= 525

Answer:

Step-by-step explanation:

Answer:

Four

Step-by-step explanation:

To derive the least-squares fit for the model y = a1x + a2x^2 with a zero intercept, we need to minimize the sum of squared residuals. Let's denote the observed data points as (xi, yi) for i = 1 to n.

The objective is to find the values of a1 and a2 that minimize the following sum of squared residuals:

SSR = ∑(yi - (a1xi + a2xi^2))^2

To find the minimum, we differentiate SSR with respect to a1 and a2 separately and set the derivatives equal to zero.

Partial derivative with respect to a1:

∂SSR/∂a1 = -2∑(yi - (a1xi + a2xi^2))*xi = 0

Partial derivative with respect to a2:

∂SSR/∂a2 = -2∑(yi - (a1xi + a2xi^2))*xi^2 = 0

Expanding the above equations:

∑(yixi) - a1∑(xi^2) - a2∑(xi^3) = 0 ------ (1)

∑(yixi^2) - a1∑(xi^3) - a2∑(xi^4) = 0 ------ (2)

Now, let's solve these equations to find the values of a1 and a2.

From equation (1):

a1∑(xi^2) + a2∑(xi^3) = ∑(yi*xi) ------ (3)

From equation (2):

a1∑(xi^3) + a2∑(xi^4) = ∑(yi*xi^2) ------ (4)

We can express equations (3) and (4) in matrix form as:

| ∑(xi^2) ∑(xi^3) | | a1 | = | ∑(yixi) |

| ∑(xi^3) ∑(xi^4) | | a2 | = | ∑(yixi^2) |

Solving this system of linear equations will give us the values of a1 and a2.

Once a1 and a2 are determined, we have the least-squares fit of the model y = a1x + a2x^2 with a zero intercept.

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Answer: 8

Step-by-step explanation:

The triangles are congruent by SAS, so using CPCTC, the answer is 8

Answer:

13.25$

Step-by-step explanation:

p+6.50=19.75

substract 6.50 on both side : p=13.25$

The total amount of money sam had in his pocket is $13.25.

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

Sam had some money in his pocket, and he found another $6.50 in his dresser drawer. The total amount sam had was $19.75.

Here, let p represent the amount of money sam had in his pocket.

The equation formed

p + $6.50 = $19.75

p = $19.75 - $6.50

p = $13.25

Therefore, the total amount of money sam had in his pocket is $13.25.

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Answer:

Step-by-step explanation:

There are  80 black squares in A. The % is 80/100 or 80%

There are 12 1/2 black squares in B. The % is 12 1/2 % black

There are 10 black squares in C   The % is 10% black

This is a really bad question. We are not told which to represent, white or black.

A: 20% white

B: 87 1/2% white

C: 90% white

I'm going to leave the second part because I don't know which way is wanted.

Answer:

7cm.by6cm sana makatulong

Answer:

The correct answer would be...

B. 7 cm by 6 cm by 18 cm

Step-by-step explanation:

A. The mean and the standard deviation for the numbers of peas with green pods in the groups of 24 is 18 and 2.1213.

B. The values separating results that are significantly low and significantly high is 13.76  and 22.24.

C. The result of 3 peas with green pods a result is significantly​ low.

What is the probability?

The probability of an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

Here, we have

Given: Assume that hybridization experiments are conducted with peas having the property that for​ offspring, there is a 0.75 probability that a pea has green pods.

This is a binomial probability distribution problem.

Where n = 24 [groups of 24, total trials]

p = 0.75 [probability of success]

a) Mean = np =24×0.75 = 18

and std deviation =(np(1-p))1/2 = 2.1213

b) from a range rule of thumb; 2 std deviation values above and below the mean are significantly low AND significantly high

Hence significantly low value = mean -2×std deviation = 13.76 or lower values

Significantly high value =mean +2*std deviation = 22.24 or higher values

c) As 3 falls in significantly low values cause it is below 2 std deviations from the mean hence it is significantly​ low.

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Answer:

5×(-4) = -20

(-1) × 4 = -4

Step-by-step explanation:

Here it' sayin when a positive number ( it may be odd or even ) gets multiplied with an even number ( it may be positive or negative ) , the product will be positive number.

5×(-4) = -20 .Here 5 is a positive number & 4 is a negative even number but the product -20 is a negative number. So it contradicts the statement.

(-1) × 4 = -4 . Here -1 is a negative number & 4 is a positive even number but the product -4 is a negative number. So it contradicts the statement.

Answer:

D) -2x²+120=1800

Step-by-step explanation:

area=l*w

the area is 1800 (given)

the length is x (given)

the width would be 120-2x (120 feet of fencing minus the two lengths)

SO

1800=(x)(120-2x)

1800=120x-2x²

1800=-2x²+120

-2x²+120=1800

So the answer is D

The equation representing the area of the horse paddock is  -2x² + 120x = 1800. The correct option is (D).

A rectangle is a type of parallelogram having equal diagonals.

All the interior angles of a rectangle are equal to the right angle.

The area of a rectangle can be found by taking the product of its length and breadth.

Given that,

The total length of the fence is 120 feet.

And, the area enclosed is 1800 square feet.

As per the given question, the expression for the length of fence is as below,

2x + l = 120

=> l = 120 - 2x

Since the horse paddock is in the shape of a rectangle, its area can be written as,

x(120 - 2x) = 1800

=> 120x - 2x² = 1800

=> -2x² + 120x = 1800

Hence, the equation that can be used to find the dimensions of the horse paddock is given as -2x² + 120x = 1800.

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14.3 is probability  of the variance of the number of home runs bautista is projected to hit in 100 games.

How does probability explain work?

Given: n = 100

p = 0.173

Variance = np(1-p)

= 100*0.173*0.827

= 14.3071

Therefore, the variance to two decimal places is

= 14.3.

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The equation of line that has a slope of 2 and passes through the point (-3,4) will be;

⇒ y = 2x + 10

Option B is true.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line = (-3, 4)

Slope of the line = 2

Since, The equation of line that has a slope of 2 and passes through the point (-3,4) will be;

⇒ y - y₁ = m (x - x₁)

⇒ y - 4 = 2 (x - (-3))

⇒ y - 4 = 2 (x + 3)

⇒ y - 4 = 2x + 6

Add 4 both side;

⇒ y - 4 + 4 = 2x + 6 + 4

⇒ y = 2x + 10

Thus, The equation of line that has a slope of 2 and passes through the point (-3,4) will be;

⇒ y = 2x + 10

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Answer:

A)

Step-by-step explanation:

first one

Answer:

A

Because 2×6.5= 13

And 4×6.5= 26

And 8×6.5=52

Answer:

4.24

Step-by-step explanation:

3.64 + 3/5

3.64 + 0.6 <--- 3/5 = 0.6 as a decimal

= 4.24 <--- Final answer

Answer:

A = 20%         B = 36%

Step-by-step explanation:

35 in total bought

2/10 = who bought model A = 20%

16+9 = 25   => 9/25 who bought model B = 36%

Step-by-step explanation:

9x-7i<3(3x-7u)=

9x-7i<9x-21u=

-7i<-21u=

i<3u

g(x) has the greatest x-intercept.

Option(A) is correct.

What is the x-intercept of the function?

To find the x-intercept of a function, we set y = 0 and solve for x. The x-intercept is the point where the graph of the function intersects the x-axis.

To find the x-intercept of a function, we set y = 0 and solve for x.

For g(x) = 3/2 * x + 1, setting y = 0 gives:

0 = 3/2 * x + 1

Solving for x:

x = -2/3

So the x-intercept of g(x) is -2/3.

For h(x), there is no x-intercept because all the y-values are negative.

For f(x), setting y = 0 gives:

0 = 3/2 * x + 1

Solving for x:

x = -2/3

So the x-intercept of f(x) is also -2/3.

For j(x), we don't have enough information to determine the function. Therefore, we cannot compare it with the other functions in terms of x-intercepts.

So, between g(x), h(x), and f(x), the function with the greatest x-intercept is g(x) because it has an x-intercept of -2/3, which is larger than the x-intercepts of f(x) and h(x).

Hence, g(x) has the greatest x-intercept.

Option(A) is correct.

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The statement is false. The appropriate differential equation for the quantity Q of toxin in the tank is not given by dQ/dt = r (c/Vo).

In a tank problem with equal inflow and outflow rates and a constant input concentration c of a toxic substance, the appropriate differential equation for the quantity Q of toxin in the tank is dQ/dt = r(c - Q/Vo), where r is the inflow/outflow rate and Vo is the total volume of the mixture in the tank.

The term (c - Q/Vo) represents the difference between the input concentration and the concentration in the tank, scaled by the volume Vo. This equation accounts for the fact that the concentration in the tank changes over time due to the inflow of fresh mixture with concentration c and the outflow of the mixture with concentration Q/Vo.

Therefore, the correct differential equation is dQ/dt = r(c - Q/Vo), which reflects the balance between the inflow and outflow of the toxic substance and its accumulation or depletion in the tank.

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Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)