evaluate 4(3-1)2

A. 128
B. 16
C.64
D.32

Answer:

The answer is "16%".

Step-by-step explanation:

Its empirical rule suggests which 68% of the very first standard deviation, 95% of the very first 2 standard deviations or 99.7% of the very first three standard deviations of the variance average fall.

\(z =647 \\\\z=\frac{(647-547)}{100}= \frac{100}{100}=1\)

The empirical rule indicates the first standard deviation around 68 percent.

So,

\(=\frac{(100-68)}{2} \\\\=\frac{32}{2} \\\\= 16 \% \ drop \ 647 \ and \ above\)

Answer:

We can predict that the spinner will possible land on the green or blue 8 out of 12 times, or 66% of the time.

Step-by-step explanation:

First of all, we need to calculate the percentage of the spinner that is both green and blue.

There are a total of 12 sections on the spinner.

6 out of 12 of the sections are green. 6/12 = 0.5 or a 50% change

2 out of 12 of the secions are blue. 2/12 = 0.16 or a 16% change

3 out of 12 of the sections are pink. 3/12 = 0.25 or a 25% chance

1 out of 12 sections are yellow. 1/12 = 0.08 or a 8% chance

Athough I provided the percantages for each color, all we really need is the data for the green and blue.

0.5 + 0.16 = 0.66

12 x 0.66 = 7.92 or 8 when rounded to the nearest whole number

Therefore, we can predict that the spinner will possible land on the green or blue 8 out of 12 times, or 66% of the time.

Hope this helps! Have a blessed day! :)

Answer:

  (a)  (1) The expression dP/dt is the additional profit expected if 1 more dollar is invested in advertising

  (b) you should invest more when dP/dt > 0

Step-by-step explanation:

dP/dt is the rate of change of profit with respect to advertising dollars. That is, it tells the number of dollars the profit will increase if the advertising dollars increase by 1.

__

Assuming that the advertising budget is already accounted for in the profit function, it is useful to spend more on advertising if that makes the profit go up. For dP/dt > 0, you should invest more in advertising.

When dP/dt = 0, no more advertising should be purchased. When dP/dt < 0, the advertising budget should be reduced to increase profit.

Answer:

She can decompose it into two rectangles or a triangle

Step-by-step explanation:

I just did this on EDMENTUM its right!

Answer:

y-7=-4(x-2)

Step-by-step explanation:

y-y1=m(x-x1)

y-7=-4(x-2)

Answer:

f(x) = x(x - 4)(x + 3)

Step-by-step explanation:

given f(x) with zeros x = a and x = b then the corresponding factors are

(x - a) and (x - b)

f(x) is then the product of these factors

Given zeros are x = 4, x = 0, x = - 3 then the factors are

(x - 4) , (x - 0), (x - (- 3)) , that is

(x - 4) , x , (x + 3)

f(x) = x(x - 4)(x + 3)

Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

Answer:

A)x=13

Step-by-step explanation:-5x+2=67   -5x=65  x=13

Answer:

B: -13

Step-by-step explanation:

67-2=65 (  or 67 + (-2)  )

-5x=65

divide

65/(-5)= -13

a. The mass of the apple is approximately 33.879 grams.

b. The volume of the apple increases by approximately 1.454 cubic inches during the five-week period.

a. To find the mass of the apple, we need to calculate its volume first. The circumference of the apple can be used to determine its radius.

The formula for the circumference of a circle is C = 2πr,

where C is the circumference and r is the radius.

Rearranging the formula, we have r = C / (2π).

Plugging in the given circumference of 6 inches.

we get r = 6 / (2π) ≈ 0.955 inches.

Now, we need to convert the radius from inches to centimeters since the density is given in grams per cubic centimeter.

Since 1 inch is approximately 2.54 centimeters, the radius in centimeters is \(0.955 \times 2.54\)  ≈ 2.427 cm.

Next, we can calculate the volume of the apple using the formula for the volume of a sphere: V = (4/3)πr³.

Plugging in the radius in centimeters, we get

V ≈ (4/3)π(2.427)³ ≈ 73.682 cm³.

Finally, we can find the mass of the apple by multiplying the volume by the density:

mass = volume \(\times\) density

= 73.682 cm³ \(\times\) 0.46 g/cm³

≈ 33.879 grams.

Therefore, the mass of the apple is approximately 33.879 grams.  

b. The volume of a sphere increases with the cube of its radius.

Since the radius increases by 1/8 inch per week for five weeks, the change in radius would be\((1/8) \times 5 = 5/8 inch.\)

Now, let's calculate the change in volume during the five-week period. The formula for the volume of a sphere is V = (4/3)πr³.

Initially, the radius was 0.955 inches.

After five weeks, the radius would be 0.955 + 5/8 inches.

To compare the change in volume, we can calculate the new volume and find the difference:

Change in Volume = New Volume - Initial Volume

Initial Volume = (4/3)π(0.955)³

New Volume = (4/3)π(0.955 + 5/8)³

By subtracting the initial volume from the new volume, we can determine how the volume changes during the five-week period.

Please note that the exact calculation will depend on the precise values used for π and the measurements provided.

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Answer:

Step-by-step explanation:

A: (4, 3)

B: (4, -3)

C: (3, -5)

D: (-4, -3)

E: (-5, -3)

Answer:

2.98

Step-by-step explanation:

First find 3% of 16.05 which is 0.48.

Then add 0.48 to 16.05 which is 16.53.

Then multiply .18 by 16.53 which gets you 2.98

Hope it helps

Answer:

To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:

Sales tax = 0.03 x $16.05 = $0.48

To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:

Total bill = $16.05 + $0.48 = $16.53

To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:

Tip = 0.18 x $16.53 = $2.98

Rounding to the nearest cent, Penelope left a tip of $2.98.

Step-by-step explanation:

Based on the calculation below, the Mean Absolute Deviation (MAD) of the test scores is 0.

The mean of the 6 test scores is first calculated as follows:

Mean = Sum of the test scores / Number of test scores = (48 + 61 + 73 + 76 + 76 + 74) / 6 = 68

We can now calculate the MAD of the test scores as follows:

MAD = Sum of deviations of all the test scores from the Mean / Number of test scores = ((48 - 68) + (61 – 68) + (73 – 68) + (76 – 68) + (76 – 68) + (74 – 68)) / 6 = 0 / 6 = 0

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Answer: y=2x-2=x=1/2y+1   y=2x+9=x=1/2y+-9/2

Step-by-step explanation:

Answer:836

Step-by-step explanation:

&&.$:

Answer:

12: 21

13: A: 16/x^12

B: 9/x^8

Step-by-step explanation:

The correct statement is: She should calculate the ratio between the number of calories she burned versus the number of miles she ran.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here: The table containing data calories vs miles run.

You can tell if a table shows a proportional relationship by calculating the ratio of each pair of values. If those ratios are all the same, the table shows a proportional relationship.

Thus calculating the ratio for each pair of entries we get

1) ratio=118/1.2

      =295:3a  or unit rate 98.33 calories per mile

2) 190/2= 95:1 or unit rate 95 calories per mile

3) 226/2.4=565:6 or unit rate94.1

clea,rly the ratios are different.

Hence, The table containing the data doesn't form a proportional relationship.

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Each is a half of an apple, and there are 8 apples.

A factor is what you multiply.

So since there are 8 halves, you would do 8 x 1/2.

The answer to that equation is 4.

So that's how you get your answer, I hope this helps!

x=1/2

don't mind the dirty white board lol

Answer:

Step-by-step explanation:

To find the value of x, we must solve the equation.

Hence, Option C is the correct value of x.

\(BrainiacUser1357\)

Answer:

The answer is 6t-9. This can be calculated by dividing the numerator (54t2−81t) by the denominator (9t). This gives 6t-9.

Step-by-step explanation:

Answer:

81t2+16

Step-by-step explanation:

(9t-4)(-9t-4)   : Equation

Distribute parentheses using:(a + b)(c + d) = ac + ad + bc + bd.

Where :  a=9t, b=-4, c=-9t, d=-4.

This leads to 9t(-9t) +9t (-4) -4- (9t) -4 (-4).

Now we have to Apply minus-plus rule.

Where: -(-a)=a.+(-a)=-a

-9t.9t - 9t.4 + 4.9t = 4.4

=81t2+16

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Given that you have a room that has dimensions l and w wherein l is the length of the room while w is the width of the room (shown in a diagram below).

the area of the room can be computed using the equation

Basically, we just multiply the length and the width of the room.

The point which is on the y-axis and is the y axis and is 7 units from the point (-7, -5) is;

Since the point is on the y-axis, it follows that it's x-coordinate is zero and hence; the point is; (0, y).

The distance is therefore 7 units and hence;

7² = (-7-0)² + (y - (-5))²

49 -49 = (y +5)²

0 = y +5

y = -5

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Answer:

amount financed: 47800

monthly payment: 454.97

FC: 6796.40

558390.76

198390.76

Step-by-step explanation:

1.)

the amount financed is the cost- amount paid today

61800-14000=47800

effective rate: .027/12=

assuming it's an annuity immediate...

x=payment

\(47800=x\frac{1-(1+.00225)^{-(10*12)}}{.00225}\\47800=105.0617517x\\x=454.97\)

going to assume that the last part is asking for the interest

to find the interest do financed amount-total paid

454.97*10*12-47800=6796.4

2.)

Find the effective rate

.056/4=.014

assuming annuity immediate

\(6000\frac{(1+.014)^{15*4}-1}{.014}=558390.7595\)

interest earned:

558390.7595-6000*60=198390.76

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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it is 57 understand the way is down there

Step-by-step explanation:

j

k

h

a

h

a

Answer:

Step-by-step explanation:

Solve the literal equation for x

y=x+12

x = y-12

Answer:

Step-by-step explanation:

 56.27 =

 50  

+ 6  

+   0.2

+   0.07

Expanded Factors Form:

   56.27 =

 5 × 10  

+ 6 × 1  

+ 2 ×   0.1

+ 7 ×   0.01

Expanded Exponential Form:

 56.27 =

5 × 101

+ 6 × 100

+ 2 × 10-1

+ 7 × 10-2

Word Form:

56.27 =

fifty-six and twenty-seven hundredths

Answer:

\(f(x) = \frac{\sqrt{x+2}} 9\)

Step-by-step explanation:

You work in the order you have: you start with your number x, so your first step will be \(f_0(x)=x\). then you add 2: \(f_1(x) =x+2\). Then you take the square root of what you have in the previous step: \(f_2(x) = \sqrt {x+2}\). Finally, you divide by 9: \(f(x) = \frac{\sqrt{x+2}} 9\)