Question 3 of 10
What is the measure of RST?

A. 72°
B. 162°
C. 324°
D. 81°

Answer:

18

Step-by-step explanation:

to solve this we need to find how frequent pink is landed on. to find the frequency we add all the total

12+6+9+13=40

then we divide 6 (frequency of pink) by 40 to fing how frequent 6 is in percentage

6÷40=.15=15%

then we multiply 15% by 120

120×.15= 18

Answer:

$19.70 OR $58.30

Step-by-step explanation:

I say either or because I can't see the answer choices.

Its either adding or subtracting from the one backpack we know is $39.00

If we know the difference between the two is 19.30

39.00+19.30 = 58.30

39.00-19.30= 19.70

See if either of those are available :) Hope this helps! :)

Answer:

$19.70

Step-by-step explanation:

\(\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log(49)=y\implies \log_{10}(49)=y\implies 1.690196\approx y \\\\\\ \log_{10}(49)\approx 1.690196\implies \stackrel{\textit{then we can say}}{10^{1.690196}\approx 49}\)

Answer:

9 inches

Step-by-step explanation:

4.5 plus 4.5 equals 9 so that would be 9 inches. They said 1 side is equal to 4.5 so that means the other side equals 4.5 because the planter is a cube and a cube side is equal (all four of them) so let's add 4.5 plus 4.5 equals 9 so the answer is 9 inches.

Distances 18 feets

Time 3 second

How Many seconds are in 1hour? 60x60second

So he salís 18/3=6 feets per second

so multiply 6x60x60 and You get the resultver

The uncertainty on the area of the circle, given the radius measurement of 10 mm ± 0.2 mm, is 12.6 mm². The correct option is a.

The formula for the area of a circle is A = πr², where r represents the radius. In this case, the measured radius is 10 mm with an uncertainty of ± 0.2 mm. To determine the uncertainty in the area, we need to calculate the maximum and minimum possible values.

Maximum radius: 10 mm + 0.2 mm = 10.2 mm

Minimum radius: 10 mm - 0.2 mm = 9.8 mm

Using these values, we can calculate the maximum and minimum areas:

Maximum area: A_max = π(10.2 mm)² = 328.32 mm²

Minimum area: A_min = π(9.8 mm)² = 301.56 mm²

The uncertainty is then given by the difference between the maximum and minimum areas:

Uncertainty = A_max - A_min = 328.32 mm² - 301.56 mm² = 26.76 mm²

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Answer:

(8-2)(4+6)

Step-by-step explanation:

1. (8-2)(4+6)

6x(4+6)

2. 6x10

3. =60

Answer:

A numerical coefficient is a constant multiplier of the variables in a term. In the term -5x2y, the numerical coefficient is -5. In the expression ax2 + bx + c, the numerical coefficient of the x2 term is "a" and the numerical coefficient of the x term is "b". "c" is properly referred to as the constant term.

Step-by-step explanation:

Hope this helps <3

Answer:

I can’t see the red question.

Step-by-step explanation:

Answer:

p = -10

shortest side (a) = 5

longest side (b) = 12

Step-by-step explanation:

QUESTION 2: Solve for p by isolating the variable.

3/4 p - 1/4 p + 3 = -2  ----- subtract 3 from both sides

3/4 p - 1/4 p = -5  

2/4 p = -5  ----- simplify 2/4

1/2 p = -5  ------ multiply 2 on both sides

p = -10

QUESTION 3:

Perimeter of a triangle = a + b + c

a = x

b = 3x - 3

c = 2x

x + 2x + 3x - 3 = 27 cm  ------ combine like terms

6x - 3 = 27   ----- add 3 on both sides

6x = 30

x =5   ------- substitute 5 everywhere you see "x" for the side values

side a = x = 5

side b = 3x - 3 = 3(5) - 3 = 12

side c = 2x = 2(5) = 10

shortest side (a) = 5

longest side (b) = 12

Answer:

Answer to question 2:

\(\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2\quad :\quad p= ?\)

\(\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2\)

\(\frac{3}{4}p-\frac{1}{4}p+3=-2\)

\(\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\)

\(\frac{3}{4}p-\frac{1}{4}p+3-3=-2-3\)

\(\mathrm{Simplify}\)

\(\frac{3}{4}p-\frac{1}{4}p=-5\)

\(Simplify\\\)

\(2p=-20\)

\(\mathrm{Divide\:both\:sides\:by\:}2\)

\(\frac{2p}{2}=\frac{-20}{2}\)

\(p=-10\)

_____________________________________

Answer to question 3

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Given:

Perimeter of ∆ = 27 cm

Side lengths of ∆: x, 2x, and 3x - 3

Required:

Measure of the shortest side and measure of the longest side.

Sum of all sides of the ∆ = Perimeter

Solve for x

Collect like terms

Add 3 to both sides

Divide both sides by 6

Length of each side of the ∆:

x = 5 cm

2x = 2(5) = 10 cm

3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Step-by-step explanation:

Step-by-step explanation:

ok done but it will be wrong

Answer:

208

Step-by-step explanation:

4*30 = 120

(15-4) * 8 = 88

88 + 120 = 208

Answer:

208 cm

Step-by-step explanation:

Solving right side first. 8*15=120

Take out 8cm from 30. 30 - 8 = 22

22*4= 88

88 + 120 = 208

Check work I found the total area and the white rectangle.

15*30=450 which in total area

15-4=11 11 is the left/right side of the white rectangle

30-8=22 22 is the top/bottom side of the white rectangle.

22*11= 242

208+242=450

Answer:

12.6 sq. inches.

Step-by-step explanation:

I got this right on a test.

Answer:

12.6

Step-by-step explanation:

I got it right on the test

Answer:

1. The solution to question one = (2, -6)

2. The solution to question two = (-1, 7)

3. The solution to question three = (1, 12)

4. The solution to question four = (2, -12)

5. The solution to question five = (3, 12)

6. The solution to question six = (-3, 12)

7. The solution to question seven = (-2, -8)

8. The solution to question eight = (-3, 21)

9. The solution to question nine = (2, 16)

Step-by-step explanation:

Steps to solve question 1:

    Step 1: Substitute 5x for y in y = x - 8 and solve for y

         1. (5x) = x - 8 → 4x = 8 → x = 2

    Step 2: Plug 2 in for x in y = x - 8 and solve for x

         2. y = (2) - 8 → y = -6

         The solution to question one: (2, -6)

Steps to solve question 2:

    Step 1: Substitute 3x for y in y = -x - 4 and solve for y

         1. (3x) = -x - 4 → 4x = -4 → x = -1

    Step 2: Plug -1 in for x in y = -x - 4 and solve for x

         2. y = -(-1) - 8 → y = 7

         The solution to question two: (-1, 7)

Steps to solve question 3:

    Step 1: Substitute 12x for y in y = x + 11 and solve for y

         1. (12x) = x + 11 → 11x = 11 → x = 1

    Step 2: Plug 1 in for x in y = x + 11 and solve for x

         2. y = (1) + 11 → y = 12

         The solution to question three: (1, 12)

Steps to solve question 4:

    Step 1: Substitute -6x for y in y = x - 14 and solve for y

         1. (-6x) = x - 14 → -7x = -14 → x = 2

    Step 2: Plug 2 in for x in y = x - 14 and solve for x

         2. y = (2) - 14 → y = -12

         The solution to question four: (2, -12)

Steps to solve question 5:

    Step 1: Substitute 2x for y in y = -x + 9 and solve for y

         1. (2x) = -x + 9 → 3x = 9 → x = 3

    Step 2: Plug 3 in for x in y = -x + 9 and solve for x

         2. y = (3) + 9 → y = 12

         The solution to question five: (3, 12)

Steps to solve question 6:

    Step 1: Substitute -4x for y in y = x + 15 and solve for y

         1. (-4x) = x + 15 → -5x = 15 → x = -3

    Step 2: Plug -3 in for x in y = x + 15 and solve for x

         2. y = (-3) + 15 → y = 12

         The solution to question six: (-3, 12)

Steps to solve question 7:

    Step 1: Substitute 4x for y in y = -x - 10 and solve for y

         1. (4x) = -x - 10 → 5x = -10 → x = -2

    Step 2: Plug -2 in for x in y = -x - 10 and solve for x

         2. y = -(-2) - 10 → y = -8

         The solution to question seven: (-2, -8)

Steps to solve question 8:

    Step 1: Substitute -7x for y in y = x + 24 and solve for y

         1. (-7x) = x + 24 → -8x = 24 → x = -3

    Step 2: Plug -3 in for x in y = x + 24 and solve for x

         2. y = (-3) + 24 → y = 21

         The solution to question eight: (-3, 21)

Steps to solve question 9:

    Step 1: Substitute 8x for y in y = -x + 18 and solve for y

         1. (8x) = -x + 18 → 9x = 18 → x = 2

    Step 2: Plug 2 in for x in y = -x + 18 and solve for x

         2. y = -(2) + 18 → y = 16

         The solution to question nine: (2, 16)

Hope this helps you out :)

The world population in 2030 will be of 9.0062 billion.

The exponential formula for population growth is given below:

P(t) = P (0)e^rt

Here, P(t) is the population in t years from now P (0) is the population in the current year and r(decimal) is the growth rate, e=2.7 is the Eular number.

If the world population is 7.0 billion in 2012.

2012 is the initial year, P (0) =7

P(t) will be measured in billions of people.

The growth rate is constant at 1 .4%.

So that, r = 0.014

Now, the population in 2030 will be :

2030-2012=18 years after 2012, so this is P(18).

P(t)= 7e^rt

P(18) = 7e^0.0014*18

       = 9.0062

So, the world population in 2030 will be of 9.0062 billion.

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The world population will be 9.0062 billion in 2030.

The population growth exponential formula is as follows:

P(0)ert = P(t)

P(t) denotes the population in t years. P (0) is the current year's population, r(decimal) is the growth rate, and e=2.7 is the Euler number.

If the world population in 2012 is 7.0 billion.

The first year is 2012, and P (0) = 7.

The magnitude of P(t) will be measured in billions of people.

The rate of growth remains constant at 1.4%.

As a result, r = 0.014.

Now, in 2030, the population will be:

2030-2012 = 18 years after 2012, so P (18).

P(t)= 7e^rt

P(18) = 7e^0.0014*18

= 9.0062

As a result, the world population in 2030 will be 9.0062 billion people.

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The mean of a set of log-normally distributed random variables is equal to the mean of their logs.

Therefore, if we simulate a lot of lognormal(5,1) random variables, take their logs and then take the mean, it will be closest to the mean of the logs, which is 5. This is because lognormal(5,1) tells us that the mean of the original variables is exp(5+1^2/2), which is equal to exp(5.5), or 148.413. Taking the log of this number returns 5.

To calculate this more precisely, let's assume we simulate n lognormal(5,1) random variables and denote them by x_1, x_2, ..., x_n. We take the logs of each variable, producing the values y_1, y_2, ..., y_n. The mean of the logs is then calculated as (y_1+y_2+...+y_n)/n. Since each y_i is equal to the log of one of the x_i's, which is equal to 5, the mean of the logs is 5. Therefore, if we simulate a lot of lognormal(5,1) random variables, take their logs and then take the mean, it will be closest to 5.

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The equation is solved as x = −89.5. The correct option is 1.

What is a mathematical equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

To solve the equation −0.18x − 13.7 = 2.41 for x, we need to isolate x on one side of the equation by adding 13.7 to both sides and then dividing by −0.18:

−0.18x − 13.7 = 2.41

−0.18x = 2.41 + 13.7

−0.18x = 16.11

x = 16.11 / (−0.18)

x = −89.5

Therefore, the solution to the equation is x = −89.5. the correct option is 1.

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The interest earned by Mrs Grey over the 7 years is R5670. The cost of the television set 5 years ago was R20,600.

4.1.1 To calculate the interest earned by Mrs Grey over 7 years, we use the formula for simple interest: Interest = Principal x Rate x Time. Mrs Grey's principal is R18,000 and the rate is 4.5% per annum. The time is 7 years. Using the formula, we can calculate the interest as follows:

Interest = R18,000 x 0.045 x 7 = R5670. Therefore, Mrs Grey has earned R5670 in interest over the 7 years.

4.1.2 To calculate the cost of the television set 5 years ago, we need to account for the inflation rate. The cost of the television set now is R27,660. The average rate of inflation over the last 5 years is 6.7% per annum. We can use the formula for compound interest to calculate the original cost of the television set:

Cost 5 years ago = Cost now / (1 + Inflation rate)^Time

Cost 5 years ago = R27,660 / (1 + 0.067)^5 = R20,600. Therefore, the cost of the television set 5 years ago was R20,600.

4.1.3 To determine the rate of simple interest Mrs Grey should have invested her money at 7 years ago, we can use the formula for interest: Interest = Principal x Rate x Time. We know the principal is R18,000, the time is 7 years, and the interest earned is R5670. Rearranging the formula, we can solve for the rate:

Rate = Interest / (Principal x Time)

Rate = R5670 / (R18,000 x 7) ≈ 0.0448 or 4.48% per annum. Therefore, Mrs Grey should have invested her money at a rate of approximately 4.48% per annum to have earned enough interest to purchase the television set using only her original investment and the interest earned over the 7 years.

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Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).

A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.

By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).

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Answer:

\(\frac{3}{2}\)

Step-by-step explanation:

The slope formula is:

\(m=\frac{\text{rise}}{\text{run}} =\frac{y_2-y_1}{x_2-x_1}\)

We are given the points (-14,-18) and (-10,-12) .

\((x_1,y_1)\rightarrow(-14,-18)\\(x_2,y_2)\rightarrow(-10,-12)\)

\(m=\frac{-12-(-18)}{-10-(-14)}=\frac{-12+18}{-10+14}=\frac{6}{4} =\frac{6/2}{4/2}=\boxed{\frac{3}{2}}\)

The slope of the function should be \(\frac{3}{2}\).

Answer:

The answer is 3/2 plz mark me as brainlist I could rlly use it plz ! ;)

Step-by-step explanation:

I hope you all get A’s !!! Love y’all!!

Answer:

165 jackets or 85%

Step-by-step explanation:

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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Answer:

9

Step-by-step explanation:

similar triangles.

that means there is one common factor to transform the lengths of all lines from one triangle to the other.

it looks to me DF is the longest side in DEF, and that would make it associated to BC of ABC.

so, the factor is then

BC = DF×f

24 = 12×f

=> f = 2

so, EF then is associated to AC.

AC = EF × f

18 = EF × 2

EF = 18/2 = 9

Answer:

A) The answer is exact

Step-by-step explanation:

Well i dont know how to explain but it's just going to infinity.

Answer:

$19,110

Step-by-step explanation:

18,200 x 1.05 = 19,110

The answer is (b) The margin of error will be about 2 times larger.

The margin of error in a confidence interval is affected by the sample size, so decreasing the sample size will generally increase the margin of error. Specifically, the margin of error is inversely proportional to the square root of the sample size.

That is, if we reduce the sample size by a factor of k, then the margin of error will increase by a factor of sqrt(k).

In this case, the original sample size was 1000, and the proposed sample size is 250, which is 1/4 of the original size. Therefore, the margin of error for the smaller sample will be:

sqrt(1000/250) times the original margin of error.

Simplifying this expression, we get:

sqrt(4) times the original margin of error.

So the margin of error for the smaller sample will be about 2 times the original margin of error.

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Answer:

$8,000

Step-by-step explanation:

Let minimum amount she needs to sell = x

Commission rate = 7.5%

Amount of commission = $600

7.5% of x = 600

7.5/100 * x = 600

0.075 * x = 600

0.075x = 600

x = 600/0.075

= 8,000

x = $8,000

The minimum amount she needs to sell in order to earn $600 if she earns a 7.5% commission on everything she sells is $8,000

The surface area of the regular pyramid is 1209 m².

A pyramid is a three-dimensional shape. It has a flat polygon base. All the other faces are triangles and are called lateral faces.

A pyramid is called by the shape of its base.

The surface area of the regular hexagonal pyramid is given by the formula:

SA = 3b(a + s)

Where a is the apothem, b is the base and s is the slant height of the pyramid.

In this case:

a = 8.5√3 m

b = 17 m

s = 9 m

SA = 3 * 17 * (8.5√3 + 9)

SA = 1209 m²

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Approximately 63.8% of 58 is equal to 37.To find the percent of 58 that is represented by 37, we can set up an equation.

Let x represent the unknown percentage we are trying to find.

We can set up the equation:

x% of 58 = 37

To solve for x, we can divide both sides of the equation by 58:

(x/100) * 58 = 37

Dividing both sides by 58:

x/100 = 37/58

To isolate x, we can cross multiply:

58x = 37 * 100

58x = 3700

Dividing both sides by 58:

x = 3700/58

x ≈ 63.8

Therefore, approximately 63.8% of 58 is equal to 37.

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To find the price per ounce for each grocery store we have to divide the price by the size of the bottle:

Hawkin's Grocery:

$0.25 per ounce

MItchell's Store:

$0.32 per ounce

Selena's Market:

$0.30 per ounce

Teresa's Store:

$0.20 per ounce

We can see that Teresa's Store has the lowest price per ounce