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Answer:

c = 31.5

Step-by-step explanation:

Given c varies directly as [tex]\sqrt{d}[/tex] then the equation relating them is

c = k[tex]\sqrt{d}[/tex] ← k is the constant of variation

To find k use the condition c = 14 when d = 64, then

14 = k ×[tex]\sqrt{64}[/tex] = 8k ( divide both sides by 8 )

1.75 = k

c = 1.75[tex]\sqrt{d}[/tex] ← equation of variation

When d = 324 , then

c = 1.75 × [tex]\sqrt{324}[/tex] = 1.75 × 18 = 31.5

Answer:

Slope of 1.5 means that the printing of each new t-shirt is of $1.50.

The y-intercept of 20 means that the fixed cost, that is, the cost without printing the t-shirts, only the design, is of $20.

Step-by-step explanation:

Equation of a line:

An equation of a line has the following format:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the increase in y when x increases by 1.

b is the y-intercept, which is the value of y when x = 0.

The cost, y, to print x T-shirts is y=1.5x+20.

Slope of 1.5 means that the printing of each new t-shirt is of $1.50.

The y-intercept of 20 means that the fixed cost, that is, the cost without printing the t-shirts, only the design, is of $20.

Answer:

Step-by-step explanation:

??What is parallel to a point?

If the cut is parallel to the cut-off point, the cross-section is a rectangle.

 The first mistake in Maria's solution is seen in between Step 1 and Step 2

Given that Maria solved math homework problem incorrectly

the steps of the procedure followed by Maria is given as follows

Given 7(3x + 4 + x) - 4x + 8

Step 1: 7(4x + 4) - 4x + 8

Step 2: 28x + 4- 4x + 8

Step 3: 28x - 4x + 4 + 8

Step 4: 24x + 12

According to the given expression we can write the solution in the following steps

[tex]\rm Given \; \; 7(3x +4+x) -4x +8 \\ Step\; 1 :\; \; 7(4x +4) -4x +8 \\Step\; 2 : \; \; 28x+28 -4x +8 \\Step \; 3 :\; \; 24x + 28 + 8 \\Step\; 4 : \; \; 24x + 36[/tex]

On comparing with given steps of the question we can clearly say that the first mistake in Maria's solution is seen in between Step 1 and Step 2

For more information please refer to the link given below

https://brainly.com/question/19126818

Answer:

-3,3 this is because that is where both of the lines intersect making them both a solution for both equations.

Step-by-step explanation:

Answer:

B. (-3, 3)

Step-by-step explanation:

Point of intersection of both the lines is the solution to both the equations.

Both the lines are intersecting each other at point (-3, 3)

So, ordered pair of solution is (-3, 3)

[tex] \large \color{lightblue}Answer:[/tex]

Hope it helps..

Answer:

90000 + 4000 + 300 + 50 + 3 = 94353

Answer:

[tex]2\sqrt{2} :1[/tex]

Step-by-step explanation:

This question was linked from another one regarding the lengths of the cubes, you can find it here: https://brainly.com/question/22396279

That question gave you the ratio of the lengths, which is [tex]\sqrt{2} :1[/tex]. Now in geometry, a general rule about solids is that if they are similar, the ratio of their volumes is the cube of the ratio of their edges. In a cube's case, every single cube known to mankind is similar as all the edges are the same length.

So the ratio of volumes would be [tex]\sqrt{2} ^3:1^3[/tex], which can be simplified as [tex]2\sqrt{2} :1[/tex].

Answer:

perpendicular

Step-by-step explanation:

Rewrite the equations

y = (-1/7)x - 3/7 -- L1

y = 7x + 25 -- L2

Slope of L1 x Slope of L2 = -1/7 x 7 = -1

As a result, the two lines are perpendicular

Answer:

B.) Sometimes

Step-by-step explanation:

Answer:

h

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

7x+5+13x-8+11x-3=180

31x-6=180

31x=186

x=186÷31

x=6

I wrote the wrong answer so I erased it

Answer:

2/8 is the median

Step-by-step explanation:

Answer: The median is 2/8

Step-by-step explanation:

Because the median is the middle number, and 2/8 is at the middle.

Answer:

Your answer would be

X= 5

Answer:

-18.00

Step-by-step explanation:

-12.75-5.25

Its going to be a negative number since the greatest number is a negative.

Since its both negative signs you add

12.75+5.25=18.00

Now make it negative.

-18.00

Hope this helps!!!

Have a great day!!! :)

Answer:

Angles 2, 3 and 6,7 are acute angles

Answer:

∠2≅∠3

∠6≅∠7

∠3≅∠6

∠2≅∠7

Step-by-step explanation:

Hello There!

Acute angles have to have an angle that measures less then 90 degrees. This can simply be determine by looking at the angle and seeing if it makes a smaller angle or a larger angle

∠2 and∠3 are vertical angles which have congruent measures

∠6 and∠7 are also vertical angles

∠3 and∠6 are alternate interior angle which are can be known for being congruent

∠2 and ∠7 are alternate exterior angles which are also congruent

so angles 2, 3, 6 and 7 are all congruent

Answer:

253 boxes

Step-by-step explanation:

757/3 = 252.33

Answer:

x = 10 and y is 10 times the square root of 2

Step-by-step explanation:

45 45 90 triangle

x x x times square root of 2

10 10 and 10 times square root of 2

Answer:

(x+2)^2+(y-3)^2=100

Step-by-step explanation:

so the equation is (x-h)^2+(y-k)^2=r^2

(h,k)=center

r^2=radius

in this case (h,k)=(-2,3)

r^2=r^2

10^2=100

(x-(-2))^2+(y-3)^2=100

Hope fully that helps :)

Answer:

x = 20  

Step-by-step explanation:

x - 8 = 12                          Add 8 to both sides

x -8 + 8 = 12 + 8               Add -8 and 8; add 12 and 8

x = 20                      

Answer: x=20

Step-by-step explanation: Just do 12 + 8, addition is the opposite of subtraction so if you need to find the answer just do it backwards, 12 + 8 = 20. Hope this helps

Answer:

Step-by-step explanation:

B = 2×10⁸

A = 3×10⁸

Answer:

The mass of the larger hummingbird is 7 1/2 or 15/2.

Step-by-step explanation:

Bee hummingbird = 1 1/4g

Larger hummingbird = 6x that

So,

1 1/4 x 6 = 7.5

7.5 as fraction = 7 1/2 or 15/2

Answer:

[tex]m = \frac{ln(xy)}{ln(y)} [/tex]

Step-by-step explanation:

divide both sides by x

simplify

apply exponent rules: mln(y)=ln(xy)

m=ln(xy)/ln(y)

Answer:

You would round down, but not to 3. You would round it down to 4.

Step-by-step explanation:

If a decimals last digits are five or more, you would round up. But 4.22 would be rounded down because its less than 5.

Answer:

The cost of direct labor (in $s) is $7.85 per unit.

Step-by-step explanation:

First resource total wages per hour = Number of workers in first resource * Wages per hour = 9 * $24 = $216

Second resource total wages per hour = Number of workers in second resource * Wages per hour = 8 * $24 = $192

Total wages of the process per hour = First resource total wages + Second resource total wages = $216 + $192 = $408

Cost of direct labor per unit = Total wages of the process per hour / (Capacity of first resource + Capacity of second resource) = $408 / (28 + 24) = $7.85

Therefore, the cost of direct labor (in $s) is $7.85 per unit.

Answer:

A = (-7,6)

B = (2,4)

C = (-6,0)

Step-by-step explanation:

A = (-9 + 2, 2 + 4)

B = (0 + 4, 0 + 4)

C = (-8 + 2, -4 + 4)

Answer:

100 ≥ 12x + 28

Step-by-step explanation:

He needs $100 for the new bike but already has the $28 so you also have to add 12x because thats what you need to find. X represents the amount of days he has to work.

Answer:

{10;20}

Step-by-step explanation:

X & Y = {10;20}

The groups of values plugged into the TVM Solver of a graphing calculator will give the monthly payment for a 30-year loan for $265,000 at 5.9% interest, compounded monthly are,

N=360, 1% = 5.9; PV=-265000; PMT=; FV=0; P/Y=12; C/Y=12; PMT:END.

The correct option is C.

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

x = P (1+r/n

,where x = compound interest

P = principal (the initial deposit or loan amount)

r = annual interest rate

n = the number of compounding periods per unit of time

t = the number of time units the money is invested or borrowed for

Given:

TVM Solver of a graphing calculator will give the monthly payment for a 30-year loan for $265,000 at 5.9% interest, compounded monthly.

Then,

N: The overall amount of payments. Calculating this is simple if you multiply the P/Y by the number of years.

I%: Interest rate per year. Enter this rate as a percentage at all times!

Present Value, or PV: This is the sum of your investment or the loan.

PMT: The sum due.

Future Value (FV): This is your desired level of savings or, if you are calculating loans, your projected loan balance at maturity.

P/Y: The quantity of payment intervals per year.

C/Y: The quantity of compounding cycles each year.

N=360, 1% = 5.9; PV=-265000; PMT=; FV=0; P/Y=12; C/Y=12; PMT:END

Therefore,  N=360, 1% = 5.9; PV=-265000; PMT=; FV=0; P/Y=12; C/Y=12; PMT:END.

To learn more about the compound interest rate;

https://brainly.com/question/13307568

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Answer:

12) Between 40 and 64 = 0.815

13) Between 32 and 40 = 0.0235

14) Between 56 and 64 = 0.34

15) At most 56 = 0.515

16) At least 72 = 0.025

17) At most 64 = 0.855

Explanation:

To answer this, we will convert each of the values into their standardized form to make this easier.

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ

x = Each value

μ = Mean = 56

σ = Standard deviation = 8

12) Between 40 and 64

For 40,

z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2

For 64

z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1

So,

Between 40 and 64 = Between -2 and 1

From the curve, noting that the central point is the mean, with standard score of 0, the lines before it move in step of 1 standard deviation towards the negative side, that is, -1, -2, etc. And the lines before the central point move towards the positive side, that is, 1, 2, 3, etc.

So,

Between -2 and 1 = 0.135 + 0.34 + 0.34 = 0.815

13) Between 32 and 40

For 32,

z = (x - μ)/σ = (32 - 56)/8 = (-24/8) = -3

For 40,

z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2

So,

Between 32 and 40 = Between -3 and -2 = 0.0235

14) Between 56 and 64

For 56,

z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0

For 64,

z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1

Between 56 and 64 = Between 0 and 1 = 0.34

15) At most 56

For 56,

z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0

At most 56 = At most 0 = 0.0015 + 0.0235 + 0.15 + 0.34 = 0.515

All the regions before z = 0)

16) At least 72

For 72,

z = (x - μ)/σ = (72 - 56)/8 = (16/8) = 2

At least 72 = At least 2 = 0.0235 + 0.0015 = 0.025

(All the regions from z = 2 to the end)

17) At most 64

For 64,

z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1

At most 64 = At most 1 = 0.0015 + 0.0235 + 0.15 + 0.34 + 0.34 = 0.855

(All the regions before z = 1)

Hope this Helps!!!