You increase your walking speed from 1 m/s to 3 m/s in a period of 1 s.
What is your acceleration?

Answer:(3t)^2

Step-by-step explanation:

Steps below

Answer:

18

Step-by-step explanation:

Divide 90 by 5

Answer:

Answer:

$1300

Step-by-step explanation:

λ = average = 2 per day, Y denotes the number of breakdowns per day,

But E(Y) = λ, E[Y(Y - 1)] = λ²

E(Y²) = E[Y(Y - 1)] + E(Y), hence:

E(Y²) = λ² + λ

The daily revenue is R=1600−50Y². The expected daily revenue for the extruder E(R) is:

E(R) = E(1600−50Y²) = 1600 - 50E(Y²)

E(R) = 1600 - 50(λ² + λ)

Substituting:

E(R) = 1600 - 50(2² + 2)

E(R) = 1600 - 300 = 1300

E(R) = $1300

Answer:

C

is your answer. Glad I could help!

Step-by-step explanation:

3 + 2 = 5 + 14 = 19

A. 18

B. 15

C. 19

D. 11

Answer:

Step-by-step explanation:

Given the polynomial f(x)  divided by  x-4

To check whether the remainder will be equal to f(-4), we need to get whether the value of x is -4 if we set x-4 to zero as shown;

x- 4 = 0

Add 4 to both sides

x - 4 + 4 =  0+4

x = 4

Since the value of x is 4 not -4 hence the remainder will NOT be equal to f(-4). The answer is false

Answer:

0.8

Step-by-step explanation:

A = hamburger

B = french fries

P(B|A)

P(AB)/P(A)

= 0.72/0.9

= 0.8

Answer:

[tex]F = 27N[/tex]

Step-by-step explanation:

Given

Force directly proportional to acceleration

Force = 21N when Acceleraion = 7m/s^2

Required

Determine the force when acceleration = 9m/s^2

The variation between force (F) and acceleration (A) implies that:

[tex]F\ \alpha\ \ A[/tex]

Convert to an equation

[tex]F = mA[/tex]

Where m is constant.

When F = 21 and A = 7, we have:

[tex]21 = m * 7[/tex]

Solve for m

[tex]m = \frac{21}{7}[/tex]

[tex]m = 3[/tex]

When A = 9

Substitute 9 for A and 3 for m in [tex]F = mA[/tex]

[tex]F = 3 * 9[/tex]

[tex]F = 27N[/tex]

Answer:

x1=3     x2=-4

Step-by-step explanation

The value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.1

It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.

The determinant in arithmetic is a real number that is a variable of the rows and columns of a square matrix. It lets specifying a few aspects of the matrix and the linear map that the matrix provides.

It is given that:

[tex]\left[\begin{array}{ccc}3&2\\5&5\\\end{array}\right] \left[\begin{array}{ccc}x_1\\x_2\\\end{array} \right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}3x_1+2x_2\\5x_1+5x_2\\\end{array}\right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]

On comparing:

3x₁ + 2x₂ = 2

5x₁ + 5x₂ = -3

The above two equations represent linear equations in two variables:

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

After solving with substituion method:

x₁ = 3.2

x₂ = -3.8

Thus, the value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.

Learn more about the matrix here:

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Answer:

B.

Step-by-step explanation:

14 x 4 + 137 x 8 = $1,152

hope this helps

have a great day

and a Merry Christmas UwU

Answer:

[tex]\boxed{x_1 = 5~~or~~x_2 = -5}[/tex]

.

Step-by-step explanation:

[tex]\to y = 0[/tex]

[tex]y = x^2 - 25[/tex]

[tex]x^2 - 25 = 0[/tex]

[tex]x^2 = 25[/tex]

[tex]x = \pm \sqrt{25}[/tex]

[tex]x = \pm 5[/tex]

.

[tex]x = 5[/tex]

[tex]x = -5[/tex]

The point where the reflector meets the lens is ± 5.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A reflector on the inside of a certain flashlight is a parabola given by the equation y = x² - 25.

Now the points where the reflector meets the lens are,

0 = x² - 25.

x² = 25.

x = ± 5.

learn more about quadratic equations here :

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Answer:

The missing length is 12

Step-by-step explanation:

Required

Determine the missing length (LS)

If RS = 28 and KS = 14

Then

[tex]KR = RS - KS[/tex]

[tex]KR = 28 - 14[/tex]

[tex]KR = 14[/tex]

The sides of the given shape are directly proportional.

This implies that:

[tex]KS : LS = RS : QS[/tex]

[tex]KS = 14[/tex]

[tex]RS = 28[/tex]

[tex]QS = 12 + LS[/tex]

[tex]LS = ??[/tex]

So, the expression becomes:

[tex]14 : LS = 28 : 12 + LS[/tex]

Represent as a fraction

[tex]\frac{14}{LS} = \frac{28}{12 + LS}[/tex]

Cross Multiply:

[tex]14(12 + LS) = 28 * LS[/tex]

Divide through by 12

[tex]12 + LS = 2 * LS[/tex]

[tex]12 + LS = 2 LS[/tex]

Collect Like Terms

[tex]2LS - LS = 12[/tex]

[tex]LS = 12[/tex]

The length of the missing side is 12

Answer:

111.2

Step-by-step explanation:

It would just remain 111.2

The square root and the squared cancel out on eachother

For, square roots of number will be what times what gives you that number while squared numbers will give you a number multiplied by utsekf,  

Answer:

The equation of the line is:

Step-by-step explanation:

Given the points

Finding the slope between the points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:8\right),\:\left(x_2,\:y_2\right)=\left(-1,\:9\right)[/tex]

[tex]m=\frac{9-8}{-1-\left(-5\right)}[/tex]

[tex]m=\frac{1}{4}[/tex]

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 1/4 and the point (-5, 8)

[tex]y-8=\frac{1}{4}\left(x-\left(-5\right)\right)[/tex]

[tex]y-8=\frac{1}{4}\left(x+5\right)[/tex]

Add 8 to both sides

[tex]y-8+8=\frac{1}{4}\left(x+5\right)+8[/tex]

[tex]y=\frac{1}{4}x+\frac{37}{4}[/tex]

Thus, the equation of the line is:

A box and whiskers chart divides the data set into 4 equal parts called quartiles. (second option)

A box and whiskers chart is used to study the distribution and level of a set of scores. The values are distributed into 4 groups. Each group has a value of 25%

The whiskers represent the minimum and the maximum values. On the box, the first line to the left represents the lower quartile. 25% of the score represents the lower quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the upper quartile. 75% of the scores represents the upper quartile.

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Answer:

[tex]f(10) = 173[/tex]

Step-by-step explanation:

Given

Exponential Function

[tex](x_1,y_1) = (3,10.125)[/tex]

[tex](x_2,y_2) = (6,34.2)[/tex]

Required

Determine f(10)

We have that

[tex]y = ab^x[/tex]

First, we need to solve for the values of a and b

For [tex](x_1,y_1) = (3,10.125)[/tex]

[tex]10.125 = ab^3[/tex] --- (1)

For [tex](x_2,y_2) = (6,34.2)[/tex]

[tex]34.2 = ab^6[/tex] ---- (2)

Divide (2) by (1)

[tex]\frac{34.2}{10.125} = \frac{ab^6}{ab^3}[/tex]

[tex]\frac{34.2}{10.125} = \frac{b^6}{b^3}[/tex]

[tex]3.38= b^{6-3}[/tex]

[tex]3.38= b^{3}[/tex]

Take cube root of both sides

[tex]b = \sqrt[3]{3.38}[/tex]

[tex]b = 1.5[/tex]

Substitute 1.5 for b in [tex]10.125 = ab^3[/tex]

[tex]10.125 = a * 1.5^3[/tex]

[tex]10.125 = a * 3.375[/tex]

Solve for a

[tex]a = \frac{10.125}{3.375}[/tex]

[tex]a = 3[/tex]

To solve for f(10).

This implies that x = 10

So, we have:

[tex]y = ab^x[/tex] which becomes

[tex]y = 3 * 1.5^{10[/tex]

[tex]y = 3 * 57.6650390625[/tex]

[tex]y = 172.995117188[/tex]

[tex]y = 173[/tex] -- approximated

Hence:

[tex]f(10) = 173[/tex]

Answer:

4 gallons=16 quarts

Step-by-step explanation:

Brainliest me pls

Have a nice day!

Answer:

16 Quarts

Step-by-step explanation:

First I figured out how many quarts are in a gallon which is 4.

Then I multiplied 4 by 4 which gives you 16.

Hope This helps! ^w^

Answer:

7 red weights and 2 purple

Step-by-step explanation:

Answer:

5 purple weights and 5 red weights

Step-by-step explanation:

Answer:

The value is  [tex]P( X > 0.50) = 0.089264[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  500

   The  population proportion is  p =  0.47  

Generally given that the sample size is sufficiently large , the mean of this sampling distribution is mathematically represented as

        [tex]\mu_x = p = 0.47[/tex]

Generally the standard deviation of the sampling distribution is mathematically represented as

       [tex]\sigma = \sqrt{\frac{p(1- p )}{ n} }[/tex]

=>     [tex]\sigma = \sqrt{\frac{ 0.47 (1-0.47 )}{ 500 } }[/tex]

=>     [tex]\sigma = 0.0223[/tex]

Gnerally the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 is mathematically represented as

          [tex]P( X > 0.50) = P( \frac{ X - \mu }{ \sigma } > \frac{ 0.50 - 0.47 }{ 0.0223 } )[/tex]

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

=>        [tex]P( X > 0.50) = P( Z> 1.3453 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1.3453   is

          [tex]P( Z> 1.3453 ) = 0.089264[/tex]

So  

          [tex]P( X > 0.50) = 0.089264[/tex]

Using the normal distribution and the central limit theorem, it is found that there is a 0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample proportions of size n of a proportion p has [tex]\mu = p, s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this problem:

The mean and the standard deviation are:

[tex]\mu = p = 0.47[/tex]

[tex]\sigma = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.47(0.53)}{500}} = 0.0223[/tex]

The probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 is 1 subtracted by the p-value of Z when X = 0.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.5 - 0.47}{0.0223}[/tex]

[tex]Z = 1.34[/tex]

[tex]Z = 1.34[/tex] has a p-value of 0.9099.

1 - 0.9099 = 0.0901

0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.

A similar problem is given at https://brainly.com/question/24663213

Answer:

Following are the solution to this question:

Step-by-step explanation:

please find the graph image in the attached file.

Given value:

[tex]AB= c= 1744 \ miles\\\\BC= a= 2451 \ miles\\\\AB= s= 714 \ miles[/tex]

using the law of cosines:  

[tex]\cos A = \frac{s^2+c^2-a^2}{2bc}\\\\[/tex]

        [tex]=\frac{714^2+1744^2-2451^2}{2 \times 714 \times 1744}\\\\= -0.9862[/tex]

[tex]A=cos^{-1} (-0.9862)\\\\A= 170.47^{\circ}[/tex]

[tex]\cos B = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\B=cos^{-1} (0.9988)\\\\B= 2.7641^{\circ}\\\\[/tex]

[tex]\cos C = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\C=cos^{-1} (0.9988)\\\\C= 2.7641^{\circ}[/tex]

Answer:

90m + 5

Step-by-step explanation:

Distribute 13 to (9-6m) and distribute 14 to (12m -8)

13*9 - 13*6m + 14*12m - 14*8 =

117 - 78m + 168m - 112 =

put like terms together

117-112 -78m + 168m =

5 + 90m

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Answer:

90

Step-by-step explanation:

You need to simply add all the given numbers together and enter the missing number that'll make the total 0. So:

-75 + (-25) = -100

-100 + 10 = -90

-90 + 90 = 0

Thus, adding a 90 in the empty box will make it 0.

Answer:

90

Step-by-step explanation:

This is the answer because:

1) -75 + (-25) = -100

2) -100 + 10 = -90

3) -90 + 90 = 0

Therefore, the answer is 90 because whenever a negative number is added with the same poitive number, it beomes a 0.

Hope this helps! :D

Answer:

65/140

as a percentage is 46.43

hundredth rounding

46.4

Step-by-step explanation:

Answer:

[tex] x = 4 [/tex]

Step-by-step explanation:

Since the diagonals of a parallelogram bisects each other, therefore:

[tex] x + 1 = 2x - 3 [/tex]

Collect like terms

[tex] x - 2x = -1 - 3 [/tex]

[tex] -x = -4 [/tex]

Divide both sides by -1

[tex] x = 4 [/tex]

Answer:

The rate of change is -4.5 and the relation of the table is a linear function

Step-by-step explanation:

Linear function.

A linear function can be identified because the rate of change is constant at every point of its domain.

The graph of a linear function is a straight line with a constant slope.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We'll show the relation shown in the table is a linear function. We'll calculate the slope for any random pair of points. For example, using (2,83) and (3,78.5):

[tex]\displaystyle m=\frac{78.5-83}{3-2}=-4.5[/tex]

Now for (7,60.5) and (14,29):

[tex]\displaystyle m=\frac{29-60.5}{14-7}=\frac{-31.5}{7}=-4.5[/tex]

Proceeding in a similar way with any pair of points, the slope will always result in the same value, thus the rate of change is -4.5 and the relation of the table is a linear function.

Answer:

with what?

Step-by-step explanation:

Answer:

33.33%

Step-by-step explanation:

We need to calculate the unit selling price and cost of each cosmetics.

If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;

x = 1 cosmetic

since 360 = 12 cosmetic

cross multiply

12x = 360

x = 360/12

x = 30

Hence the unit cost price of the cosmetics will be Rs. 30

Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)

Selling price per unit = Rs. 40

Cost price per unit = Rs. 30

percent gain = SP-CP/CP * 100%

percent gain = 40-30/30 * 100

percent gain = 10/30 * 100

percent gain = 100/3

percent gain = 33.33%

Hence the percentage gain is 33.33%

Answer:

i think B

Step-by-step explanation:

Answer:

there can be 12 identical packages at most. each package will contain:

- 2 coloring books

- 5 crayons

- 7 markers

Step-by-step explanation: