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3 years ago

I need answers as soon as possible

Mathematics

1 answer:

NARA [144]3 years ago

5 0

so to find 15% of 54,237, we use this equation: (x/54237) = (15/100) where x is the amount of income tax.

cross multiply: 100x = 813555

divide each side by 100 to isolate x: 8135.55

the truck driver will pay $8135.55

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What is the perimeter of the rectangle?

UkoKoshka [18]

B. Because 5 t 5 t 4 t 4 equals 18

6 0

3 years ago

Read 2 more answers

Find the surface area of the prism

deff fn [24]

Answer:

161 ft squared

Step-by-step explanation:

8 x 5 x 2 = 80

8 x 7 = 56

5 x 5 = 25

80 + 56 + 25

56 + 25 =81

80 + 81 = 161

161 ft squared

7 0

3 years ago

Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin

vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

$F =450N$

$x_1 = 30cm$

$x_2 = 60cm$

Required

The work done

First, we calculate the spring constant (k)

$F = kx_1$

$450N = k *30cm$

$k = \frac{450N}{30cm}$

$k =15N/cm$

So:

$F = kx_1$

$F(x) = 15x$

The work done using Hooke's law is:

$W =\int\limits^a_b {F(x)} \, dx$

This gives:

$W =\int\limits^{60}_{30} {15x} \, dx$

Rewrite as:

$W =15\int\limits^{60}_{30} {x} \, dx$

Integrate

$W =15 \frac{x^2}{2}|\limits^{60}_{30}$

This gives:

$W =15 *\frac{60^2 - 30^2}{2}$

$W =15 *\frac{2700}{2}$

$W =15 *1350$

$W =20250N-cm$

Convert to Nm

$W =\frac{20250Nm}{100}$

$W =202.50Nm$

7 0

3 years ago

So, I undestood slope right. But, I get confused with the other points that intersect there is multiple of them. How do i look f

ivanzaharov [21]

Answer:

slope = 2

Step-by-step explanation:

Find 2 points on the line that land perfectly on the grid. I'll choose these 2 here:

(-2, -1) and (0, 3)

Rise is the change in the y value from one point to the other, and run is the change in the x. Looking at these 2 points, y went from -1 to 3. That is a <em>rise</em> of 4. The x went from -2 to 0, so that is a <em>run</em> of 2. "rise over run" means rise literally over run in a fraction like this:

$m=\frac{rise}{run}$

The more proper way to calculate slope looks like this, but it's really the same thing in the end:

$m=\frac{y2-y1}{x2-x1}$

where (x1, y1) and (x2, y2) are your 2 points.

Finally, the slope of this line is:

$m=\frac{3--1}{0--2}\\\\m=\frac{4}{2}\\\\m=2$

That's a rise of 4 over a run of 2, and that simplifies to just a slope of 2.

8 0

3 years ago

From a group of 13 women and 12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can

Fantom [35]

The total number of ways the study can be selected is: 637065

Given,

Total number of women in a group= 13

Total number of men in a group = 12

Number of women chosen = 8

Number of men chosen = 8

∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.

This in the form of combination factor = nCr

∴ nCr = n!/(n₋r)! r!

13C₈ = 13!/(13 ₋ 8)! 8!

= 13!/5!.8!

= 1287

12C₈ = 12!/(12₋8)! 8!

= 12!/5! 8!

= 495

Now multiply both the combinations of men and women

= 1287 × 495

= 637065

Hence the total number of ways the study group is selected is 637065

Learn more about "Permutations and Combinations" here-

brainly.com/question/11732255

#SPJ10

4 0

2 years ago