ect the best answer for the question.
What is the slope of a line that passes through (-12,15) and (0,4)?

Answer:

  16.5 square units

Step-by-step explanation:

You are expected to integrate the function between x=1 and x=4:

  [tex]\displaystyle\text{area}=\int_1^4{(5x-x^2)}\,dx=\left.\left(\dfrac{5}{2}x^2-\dfrac{1}{3}x^3\right)\right|_{x=1}^{x=4}\\\\=\dfrac{5(4^2-1^2)}{2}-\dfrac{4^3-1^3}{3}=37.5-21=\boxed{16.5}[/tex]

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Additional comment

If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.

The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.

This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...

  area = 4.5 +3×4 = 16.5 . . . square units

Answer:

b

Step-by-step explanation:

try putting the diamond into a number.

example: Diamond=1

1+1=2

1+2=3

1+3=4

1+5=6    

so none of the answers except for b is correct

Answer:

22.28

Step-by-step explanation:

Answer:

The radius is equal to  [tex]\frac{30}{pi}[/tex]   or about 9.5 inches

Step-by-step explanation:

A revolution is the same as the circumference,

which can be found using C = 2πr

C = 2πr

60 = 2πr

(2π)r = 60

r = [tex]\frac{60}{2pi}[/tex]

r = [tex]\frac{30}{pi}[/tex] or about 9.5 inches

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

Answer: 7  17/50

Step-by-step explanation:

Write down the number as a fraction of one

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(734,100) = 2. when reduced to the simplest form.

Answer:

The possible values of S are the values between 37 and 49. (Excluding 37 and 49)

Step-by-step explanation:

If the perimeter of the square must be greater than 148 inches but less than 196 inches.

And perimeter of a square = 4s

We intend to find the values of s such that:

148 < 4s

¹⁴⁸⁄₄ < ⁴ˢ/₄

37 < s

Also:

4s < 196

s < ¹⁹⁶⁄₄

s < 49

Therefore:

37 < s < 49.

The possible values of s are the values between 37 and 49. (Excluding 37 and 49.)

Answer:

51/20

Explanation:

14/5-1/4=

14*4/5*4-1*5/4*5=

56/20-5/20=

56-5/20=

51/20

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &7 \end{cases} \\\\\\ 1500=Pe^{0.05\cdot 7}\implies \cfrac{1500}{e^{0.35}}=P\implies 1057.03\approx P[/tex]

Answer:

160

Step-by-step explanation:

16 * 10

= 160

Answer:160 meters

Step-by-step explanation: to work out the distance you have to times the speed by the time to get the distance.

Answer:

D

Step-by-step explanation:

Start from one point on figure A (-6, -3) for example. Count 12 to the right and two units down and you will find (6, -5) on the A'.

Answer:

1

I think the answer is 4/4 = 1

Answer:

the answer its 2/5

Step-by-step explanation:

hes rite

Answer:

8 hours

Step-by-step explanation:

Because Jack is riding at 5km/hr (15km/3hr), then in order for him to get 40 km it would take him 8 hours

Answer:

shaded area = 113.64 cm²

Step-by-step explanation:

To find the shaded area, subtract the area of the circle from the area of the triangle.

Area of a triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²

Area of a circle = [tex]\pi r^2[/tex] (where r is the radius)

From inspection, we can see that the diameter of the circle = 14 cm

Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm

⇒ area of circle = 3.14 x 7² = 153.86 cm²

Shaded area = area of triangle - area of circle

⇒ shaded area = 267.5 - 153.86 = 113.64 cm²

1) (3.8 * 10^3) * (9.4 * 10^-5) = 0.3572 = 3.6 * 10^-1

2) (4.2 * 10^7) * (7.4 * 10^-2) = 3.1 * 10^6

3) (8.6 * 10^-6) * (7.1 * 10^9) / (4.1 * 10^ -2) * ( 2.8 * 10 ^-7) = 5.3 * 10^-6

4) 4.2 * 10^-1

Sorry for not putting my work for number 4. Hope this helps!

Answer:

y = -1/5 x + 2

Step-by-step explanation:

y = 5x - 4

m = 5

Slope of perpendicular = -1/5

Equation of perpendicular:

y = mx + b

y = -1/5 x + b

Use point (15, -1) for x and y, and solve for b.

-1 = -1/5(15) + b

-1 = -3 + b

b = 2

Equation of perpendicular:

y = -1/5 x + 2

Answer:

It is a 100% hope it helps

Answer:

technology because of our building style or oil

Step-by-step explanation:

Answer:

Step-by-step explanation:

Diameter = 20cm . Radius = 10 cm. Circumference = 2πr = 2(3.14)(10) = 6.28 * 10 = 62.8 cm.

Answer:

radius=10

Step-by-step explanation:

radius is always half the diameter therefore the answer is 10 inches.

Answer:

sorry i cant find anything for u

Step-by-step explanation:

Answer:

7.5 square units

Step-by-step explanation:

Area of triangle = 1/2 x base x height

From inspection, base = 5 units and height = 3 units

Therefore, area = 1/2 x 5 x 3 = 7.5 square units

Answer:

3 3/16

Step-by-step explanation:

Conversion a mixed number 8 1/2

to a improper fraction: 8 1/2=8×2+1/2=16+1/2=17/2

To find a new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2×3/3= 6/

3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Divide: 17/2×8/3=17/2×3/8=17×3/2×8= 51/

16

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8/3 is 3/8) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen halves divided by eight thirds = fifty-one sixteenths.

51/16

3 3/16

Answer:

60

Step-by-step explanation:

70% of x = 42

.7x = 42

x = 42 ÷ .7

x = 60

Answer:

60

Step-by-step explanation:

We have, 70% × x = 42

or,

[tex]\frac{70}{100}[/tex] × x = 42

Multiplying both sides by 100 and dividing both sides by 70,

we have x = 42 × [tex]\frac{100}{70}[/tex]

x = 60

If you are using a calculator, simply enter 42×100÷70, which will give you the answer of 60

The number of viewers in the third episode was 2.16 times that of the second episode.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the number of viewers in the first episode.

The second episode = x + 80% of x = x + 0.8x = 1.8x

For the third episode = 1.8x + 20% of 1.8x = 1.8x + 0.36x = 2.16x

The number of viewers in the third episode was 2.16 times that of the second episode.

Find out more on Equation at: https://brainly.com/question/2972832

Answer:

Step-by-step explanation:

LCM of 5 and 25=25

Now,

18/5=18x5/5x5=90/25

72/25=72/25

Since 90/25>72/25

Hence,

18/5 is greater than 72/75

Answer:

slope is 1/4

Step-by-step explanation:

divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer:

6.67

Step-by-step explanation:

For this question once again use the same method I explained for the other questions. So I'm not going to go in-depth on explaining this one, since it is the same as others.

Step 1:

40/30=1.333333333333333

Step 2:

5 x 1.333333333333333 = 6.666666666666667

Step 3:

Simplify.

6.67 should be the length of BM

Hope this helps! :)