) Jennifer and Krystal have to stuff and mail 1000 envelopes for a new marketing campaign. Jennifer can do the job alone in 6 hours. If Krystal helps, they can get the job done in 4 hours. How long would it take Krystal to do the job by herself?

The surface area of a rectangle can be calculated by multiplying its length by its width. Since the given dimensions are 8yd and 6yd, the surface area, or more accurately the area, would be 48yd2.

The answer is 48yd2.

Surface area in mathematics refers to the total measure of the exposed outer surfaces of a three-dimensional object, like a cube, sphere, or cylinder. It is calculated by finding the sum of the areas of all the individual surfaces. For example, in a cube, you would add the areas of all six square faces. Surface area plays a crucial role in geometry and real-life applications like packaging design and construction. It helps quantify the amount of material needed and aids in solving problems related to shapes and volumes.

The surface area of a rectangular prism (which includes a box or cuboid shape) is found using the formula: 2lw + 2lh + 2wh, where l equals length, w equals width (or breadth), and h equals height. However, if we are dealing with a rectangle, since it's a two-dimensional figure, the surface area would be its area, which can be found with the formula length x width.

In your case, you only provided the length and width so I would assume that we are dealing with a rectangle. Therefore, to find the area, you just need to multiply the length by the width: 8yd x 6yd = 48yd2.

The answer is 48yd2.

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Answer:

Step-by-step explanation:

A. The extreme point which can be the maximum or minimum is called the vertex.

B. Parabolas increase or decrease which refers to the maximum or minimum.

Answer:

D)The height of the red prism is three times the height of the blue prism

Step-by-step explanation:

Here is the complete question

Two rectangular prisms have the same volume. The area of the base of the blue prism is 2 1/6 square units. The area of the base of the red prism is one third that of the blue prism.

which statement is true?

a)The height of the red prism is one-third the height of the blue prism

B)The height of the red prism is the same as the height of the blue prism

C)The height of the red prism is six times the height of the blue prism.

D)The height of the red prism is three times the height of the blue prism

Solution

Since both prisms have the same volume, V = A₁h₁ = A₂h₂ where A₁ and A₂ are the areas of the red and blue prisms respectively and h₁ and h₂ are the heights of the red and blue prisms respectively. For the question, A₁ = A₂/3. Substituting this into the equation, A₁h₁ = A₂h₂

A₂h₁/3 = A₂h₂

h₁ = 3h₂ . So the height of the red prism is thee times the height of the blue prism.

Answer:

D

Step-by-step explanation:

Reduce the equation 5x+7y-35=0 to slope-intercept form, ... Feasible region (shaded) for a LPP is shown in following figure. ... Write the normal form of the equation of the plane 2x-3y+6z+ ... 8^-3x^7y^-11/5x^-19y^17z^-14.

Hope I helped! :)

Answer:

12 45 67 88 90

Step-by-step explanation:

Answer:

If you flip three fair coins,what is the probability that you'll get heads on the first two flips and tails on the last flip? So I have 3 coins and I flip them ... If H = Heads and T = Tails, your possible outcomes are. HHH. HHT. HTH. THH. HTT ... So, the probability of HHT is 1/8 = 0.125 = 12.5%. Upvote • 0 Downvote.

Step-by-step explanation:

Answer:

I think it's 5/21.

Step-by-step explanation:

1/3=7/21

3/7=9/21

7/21+9/21=16/21

21/21-16/21=5/21

5/21 can't be reduced.

5/21+7/21+9/21=21/21 or 1

Answer:27

Step-by-step explanation: the equation for this question is 108=3x+x

Answer:

A) P = 240

B) P + Po = 1040

C) P = 270.58

D) P+Po = 1070.58

E) Option B (compound interest) is better, as it generates more interest for the same inicial value, rate of interest and time

Step-by-step explanation:

The formula for simple interest is:

P = Po*r*t

Where P is the interest earned, Po is the inicial value, r is the rate of interest and t is the time.

The formula for compound interest is:

P+Po = Po*(1+r)^t

So we have that:

A) P = 800*0.06*5 = 240

B) P + Po = 800 + 240 = 1040

C) P+Po = 800*(1+0.06)^5 = 1070.58 -> P = 1070.58 - 800 = 270.58

D) P+Po = 1070.58

E) Option B (compound interest) is better, as it generates more interest for the same inicial value, rate of interest and time

Answer:

Approximately 1340.41

Step-by-step explanation:

Answer:

[tex]V = 1340.41[/tex]

Step-by-step explanation:

The formula of the cone is [tex]V=\pi r^{2} \frac{h}{3}[/tex]. r = radius (half of diameter) and h = height. Plug in the numbers and solve the equation.

Answer:

40.44%

Step-by-step explanation:

I'm assuming you meant to say a package of oreos has 36 cookies out of 89 cookies.

To figure out percentage:

Has #/Out of # = Decimal * 100(add a % at the end)

     36/89 = 0.4044 * 100 = 40.44%

Answer:

[tex]C=40.01^0[/tex]

Step-by-step explanation:

Area =14 Inch squared

a=8 Inch

b = 7 Inch

DEFINITION: An Included Angle is the angle in between two adjacent sides.

Given the lengths of two sides of a triangle and an included angle.

Area of the Triangle, [tex]A=\frac{1}{2}abSinC[/tex]

Substituting the given values:

[tex]A=\frac{1}{2}abSinC\\14=\frac{1}{2}*8*7*SinC\\18=28*Sin C\\Sin C =\frac{18}{28}\\ C=arcsin (\frac{18}{28})=40.01^0[/tex]

Angle C is 40.01 degrees to the nearest hundredth.

Answer:

the width is 0.7 feet

Step-by-step explanation:

Well we know that area = length * width. We know both the area and length, but not the width. Let's substitute the area and length in this equation, and substitute x for the width.

7 = 10 * x, or 7 = 10x

Now, solve for the width, or x, by dividing both sides by 10.

7(/10) = 10x(/10)

7/10 = x

Simplify 7/10 = 0.7

So the width of the banner is is 0.7 ft!

Answer:

The slope is 2

Step-by-step explanation:

Slope = [tex]\frac{rise(changeiny)}{run(changeinx)} =\frac{y2-y1}{x2-x1} =\frac{12-4}{6-2} =\frac{8}{4}[/tex]

8/4 reduces to 2/1 which makes the slope 2

The slope of the line is m = 2.

     To find the slope through two points, you need to apply the following formula:

[tex]\sf m=\cfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values:

[tex]\sf m=\cfrac{12-4}{6-2}[/tex]

[tex]\sf m=\cfrac{8}{4}[/tex]

[tex]\sf m=2[/tex]

Answer:

(1) 3.43

Step-by-step explanation:

tan θ = y / x

tan θ = 0.96 / 0.28

tan θ = 3.43

  Option (1) will be the correct option.

         [tex]\text{tan}\theta=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

Given in the question,

Terminal angle will be formed between the standard position and the terminal ray passing through the given point.

Hence, [tex]\text{tan}\theta=\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(θ) = [tex]\frac{PO}{OA}[/tex]

tan(θ) = [tex]\frac{0.96}{0.28}[/tex]

tan(θ) = 3.43

      Therefore, Option (1) will be the correct option.

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Answer:

$575

Step-by-step explanation:

the explanation is in the picture

please like and Mark as brainliest

Answer:

A. f(x) increases by 3.5%

Step-by-step explanation:

Given:

City of Thomasville.

Population in 2006, [tex]P_o[/tex] = 2460

Exponential function, f(x) = 2460(1.035) ^x    ...equivalent to [tex]P=P_o(1+r)^t[/tex]

Function change at x = 2, 3

According to the question:

Plugging the values of x= 2 and x=3 we have to find the population at different x.

So,

At x= 2                                      At x=3

⇒ [tex]P_2=P_o(1+r)^t[/tex]                        ⇒ [tex]P_3=P_o(1+r)^t[/tex]

⇒ [tex]P_2=2460(1.035)^x[/tex]                     ⇒ [tex]P_3=2460(1.035)^x[/tex]

⇒ [tex]P_2=2460(1.035)^2[/tex]                     ⇒ [tex]P_3=2460(1.035)^3[/tex]

⇒ [tex]P_2=2622.4[/tex]                               ⇒ [tex]P_3=2707.7[/tex]

Percent change :

⇒ [tex]\triangle \% =\frac{Final\ value -Initial\ value}{Initial\ value} \times 100[/tex]

⇒ [tex]\triangle \% = \frac{(P_3-P_2)}{P_2} \times 100[/tex]

⇒ [tex]\triangle \% = \frac{(2707.7-2622.4)}{2622.4} \times 100[/tex]

⇒ [tex]\triangle \% = 3.5[/tex]

So,

The function f(x) increases by 3.5% option A is the right choice.

Answer:

the ticket will cost 256.28

Step-by-step explanation:

you need to multiply the cost of the ticket 149 by .72 and you get 107.28

then add 149 + 107.28 to get 256.28

Answer:

the distance between the right edge of the painting and right edge of the wall = 8.8 ft

Step-by-step explanation:

From the question, the painting is hung in center of a rectangular wall and so the distance between them on either side will be the same.

Thus, we will divide the length of the painting and wall by 2 to get  2.4/2 = 1.2 ft and 20/2 = 10 ft .

So, the distance between the right edge of the painting and right edge of the wall will be;

D = 10 - 1.2 = 8.8 ft

Answer:

5/18

Step-by-step explanation:

There are 9 pieces of fruit in the bowl,  tangerines and 5 clementines.

Assuming that they do not put the fruit back

P (tangerine) = number of tangerines/ total = 4/9

Then John keeps his and there are  8 pieces of fruit in the bowl,  

3 tangerines and 5 clementines.

P (Clementine) = number of clementines/ total = 5/8

P (tangerine, no replacement, Clementine) = P (tangerine) * P (Clementine)

                                                                        = 4/9 * 5/8 =5/18

Answer:

5/18

Step-by-step explanation:

1. Find each of their probabilities separately

2. John= # of tangerines/ total # of fruit

3. John = 4/9

4. Pam = # of clementines/ total # of fruit left

5. Pam= 5/8

6. Multiply the two together to get the probability that both pick the fruit they want

7. 4/9 times 5/8

8. 5/18

Answer:

store A

Step-by-step explanation:

There has been a statistically significant change in the mean length of the candy bars since the computed t value, -2.913, is less than the critical t value of -2.718. Therefore, we reject the null hypothesis that the mean length has not changed.

A hypothesis test is performed to test the claim at the 0.02 level that there has been no change in the mean length of candy bars. The null hypothesis is that the mean length remains 43mm, as given. The alternate hypothesis is that the mean length has changed. A sample of twelve bars is taken and with the given data, the computed t value is -2.913.

For a two-tailed test at the 0.02 significance level and degrees of freedom (n-1) equals 11, the critical t values are -2.718 and 2.718. If the computed t value falls beyond this range, that is, below -2.718 or above 2.718, we reject the null hypothesis. In this case, -2.913 is less than -2.718

Therefore, there has been a statistically significant change in the mean length of the bars as the t value lies in the rejection region.

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The correct option is Yes, because the computed t lies in the rejection region. The t-test analysis indicates a statistically significant change in the mean length of candy bars based on the computed t-value falling in the rejection region.

Null Hypothesis (H0): The mean length of the candy bars is 43 mm.

Alternate Hypothesis (Ha): There has been a change in the mean length of the candy bars.

T-Test Analysis: The computed t-value of -2.913 falls in the rejection region, indicating statistical significance, therefore rejecting the null hypothesis. Hence, there has been a statistically significant change in the mean length of the bars.

Answer: 15 = 2x + 5

Step-by-step explanation:

15 = total

x = days

2 = assignments per day / growth

5 = already done / y-intercept

Answer:

The center of the plot is at $36 rather than $37

Center = $ 36

Step-by-step explanation:

The description by Margot is accurate except for the following observation

From the dot plot there are 31 dots, therefore, the center should be at the median mark of the dot plot of the graph which is the 16th dot.

By looking at the dot plot it is observed that both 16th dot and the middle of the cluster are located on the $37.

That is the point where Margot make an error is defining the center as $37, where the center is observed to be $36.

Answer:

36$

Step-by-step explanation:

Just did it.

Answer:

The value of x is 5.

Step-by-step explanation:

We are given the following in the question:

Area of rectangle = 70 square miles

The sides of the rectangle are:

[tex]w = x, l = (2x+4)[/tex]

Area of rectangle =

[tex]A = l\times w[/tex]

Putting values, we get.

[tex]70 = (2x+4)x\\\Rightarrow 2x^2 + 4x - 70 = 0 \\\Rightarrow 2(x + 7)(x - 5) = 0\\\Rightarrow (x+7) = 0, (x-5) = 0\\\Rightarrow x = -7, x = 5[/tex]

Since, the value of x cannot be negative as it represents side of a rectangle.

Thus, the value of x is 5.

Step-by-step explanation:

Ratio of pizza =

16 : 12 = 8 : 6 = 4 : 3

Answer:

5%+15%=20%

to find 20% of 28 u multiply 28 x 0.2= 5.6

so to remove the 20% since it's 20% off u subtract 5.6 from 28

28-5.6= 22.4

Step-by-step explanation:

Answer:

x = 0, π/4, π, 7π/4

Step-by-step explanation:

sin(2x) = √2 sin x

Use double angle formula.

2 sin x cos x = √2 sin x

Move everything to one side.

2 sin x cos x − √2 sin x = 0

Factor.

sin x (2 cos x − √2) = 0

Solve.

sin x = 0, cos x = ½√2

x = 0, π/4, π, 7π/4

Answer:

94°

Step-by-step explanation:

The internal angles of a 7-sided shape add up to 900°

[tex]900=90+148+140+136+x+142+150\\x=94[/tex]