12.5(20 + 35) - 38(16)

Answer:

[tex]A=4.5[/tex]

Step-by-step explanation:

The area between two curves over the interval [tex][a,b][/tex] is [tex]A=\int\limits^b_a {f(x)-g(x)} \, dx[/tex] where [tex]f(x)[/tex] is the upper function and [tex]g(x)[/tex] is the lower function.

Therefore:

[tex]A=\int\limits^3_0 {3x-x^2} \, dx[/tex]

[tex]A=\frac{3}{2}x^2-\frac{x^3}{3}\Big|_0^3[/tex]

[tex]A=[\frac{3}{2}(3)^2-\frac{(3)^3}{3}]-[\frac{3}{2}(0)^2-\frac{(0)^3}{3}][/tex]

[tex]A=\frac{3}{2}(9)-\frac{27}{3}[/tex]

[tex]A=\frac{27}{2}-\frac{27}{3}[/tex]

[tex]A=\frac{9}{2}[/tex]

[tex]A=4.5[/tex]

So, the area between [tex]f(x)=3x[/tex] and [tex]g(x)=x^2[/tex] on the interval [tex](0,3][/tex] is [tex]4.5[/tex] square units.

Answer:

2:6 and 1:3.

Step-by-step explanation:

18 divided by 9 = 2

54 divided by 9 = 6

18 divided by 18 = 1

54 divided by 18 = 3.

Hope that helps. x

Answer : 1:3, 2:6, 3:9, 4:12, 5:15, 6:18, 7:21, 8:24, 9:27, 10:30, etc . . .

Step - by - step explanation :

18:54 divided by 6/6 = 3:9

3:9 divided by 3/3 = 1:3 <-- simplest form :D

Answer:

Step-by-step explanation:

[tex]\frac{x}{(x-2)^{2} } -\frac{x}{(x-2)(x-1)} = \frac{x^{2}-x-x^{2} +2x }{(x-2)^{2}(x-1) }[/tex]

? = 2x -x = x

Answer:

The formula of pi is approximately 3.14 2×3.14

Answer: 12.71

Step-by-step explanation: 50.84 divided by 4 = 12.71

Answer:

Step-by-step explanation:

The length of the road is 7 * 5280 = 36960 feet

The grade is 6% which means that for every 100 feet horizontally, the road rises 6 feet.

6/100 * 36960 = 221760/100 = 2217.6 is the rise.

Answer:

(4 , -6) x = 4.

Step-by-step explanation:

Note that in a pair under ( X , Y) always consists of X as it's 1st element and Y as it's second element.

so now we know that ( ? , -6) has an X value which is unknown.

inorder to find X you'll simply need to use the Y value you're given which is Y = -6 from ( ? , -6)

now plot the y value into the equation

4X + Y = 10 , Y = -6

4X + (-6) = 10

4X + - 6 = 10 ...... we know that A + - B = A - B

4X - 6 = 10

now take -6 to the right side

when -6 is taken to the right side, it changes to +6

and so ..

4X = 10 + 6

4X = 16

now divide both sides by 4 to find X

4X / 4 = 16 / 4

4 the coefficient of X which is 4 cancels with out denominator which is now 4

X = 16 / 4

16 ÷ 4 = 4.

Answer:

x = 2 so y = 7

x = 4 so y = 11

Step-by-step explanation:

y = 2x + 3

x = 0 so y = 2(0) + 3 | y = 3

x = 2 so y = 2(2) + 3 | y = 7

x = 4 so y = 2(4) + 3 | y = 11

x = 6 so y = 2(6) + 3 | y = 15

Answer:

56xy23

Step-by-step explanation:

56 x 12 bhi 56 xy23

Answer:

1.4 that is the true answer

Step-by-step explanation:

go to the place right after the decimal and then look at the number next to it.if it is greater the 5 it goes up to 1.4 and it is

Answer:

three and seventy-five hundredths or three point seven five

Step-by-step explanation:

Answer:

she'd have 16 sprinkled donuts

Answer:

10.33

Step-by-step explanation:

9.89x3$29.67

40-29.67=$10.33

The height of the skyscraper for the considered case is evaluated being of 358 meters approx.

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

Remember that we assume that building is vertical to the ground. This means, there is 90° formation.

For this case, referring to the figure attached below, we get:

The height of the skyscraper = h = length of ED (which is h - 1.74 meters) + 1.74 meters

Using the tangent ratio for triangle CDE, from the perspective of angle of elevation, we get:

[tex]\tan(44^\circ) = \dfrac{|ED|}{|CD|} = \dfrac{h-1.74}{|AB|} \\0.9656 \approx \dfrac{h-1.74}{369}\\\\h \approx 0.9656 \times 369 + 1.74 \approx 358 \: \rm m[/tex]

(from calculator, we obtained [tex]tan(44^\circ) \approx 0.9656[/tex] )

Thus, the height of the skyscraper for the considered case is evaluated being of 358 meters approx.

Learn more about tangent ratio here:

https://brainly.com/question/19594654

Answer:

The answer is 12 minutes

Step-by-step explanation:

This is because if you're seeing how long it takes to get from 15 inches to 9 inches, that is a difference of 6 inches.

6 / 0.5 inches per minute = 12 minutes

The tank would take time of 12 minutes for the water level to measure 9 inches deep.

A two-step problem is a word problem that must be addressed in two steps. While many of these questions have only one step, a two-step word problem requires the solution of two separate equations.

Two separate operations (like multiplication and addition) or two of the same operation may be utilized in the two-step word problem (like subtraction and subtraction).

Given a tank measurement of 15 inches, it shrinks by 0.5 inches per minute.

We must calculate the minute when the water level reaches 9 inches deep.

The difference in inches is 6 inches.

15 inches - 6 inches = 9 inches

Calculating for minutes,

⇒ 6 / 0.5

⇒ 12 minute

Therefore, the tank would take time of 12 minutes for the water level to measure 9 inches deep.

To learn more about the two-step problem click here :

brainly.com/question/26119747

#SPJ5

Answer: a very straight forward b 2 4 and 6 c 9

Step-by-step explanation:

Hope This Helped!

Step-by-step explanation:

First off we need to take the whole equation and multiply it so that we can get rid of the fractioned exponent. The number we would use is 12, giving us the new equation: a + 252 = 300. We then can subtract 252 from both sides of the equation, to get the exponent by itself and intentionally create an answer. This would be: a + 252 = 300,-252=48 or a = 48

We are left with A being equal to 48.

[tex]\dfrac 1{12} \cdot a +21 = 25\\\\\\\implies \dfrac a{12} = 25-21\\\\\\\implies \dfrac a{12} =4 \\\\\\\implies a = (12)(4) = 48[/tex]

Answer:

m = 5

Step-by-step explanation:

Since the triangles are similar in the way shown, then

6/10 = 3/m

6m = 10 × 3

m = 5

Answer:

Option A, - 6

Step-by-step explanation:

The zero of a function is the value on the x-axis when y is 0

Answer:

the answer is -9

Step-by-step explanation:

the answer is -9 becaise

Answer:

[tex]y = \frac{3}{4} x-8[/tex]

Step-by-step explanation:

You can us the equation y = m x + c to answer this question.

In ,

y = m x + c

m = slope

c = y - intercept

So, they have already given in the question that,

m = 3/4

c = (-8)

Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.

y = m x + c

y = 3/4x - 8

Hope this helps you.

Let me know if you have any other questions :-)

[tex]8^x = 8^3\\\\\implies \ln(8^x) = \ln(8^3)\\\\\implies x \ln(8) = 3 \ln (8)\\\\\implies x = 3\\\\[/tex]

Answer:

20

Step-by-step explanation:

first term + second term = 4

tenth term = 19

fifth term + sixth term = ?

Since this is an arithmetic sequence:

first term = a

second term = a+d

tenth term = a+9d

Then we have

[tex]2a+d=4 \\ a+9d=19[/tex]

Upon solving the system of equation we have:

[tex]a=1 \\ d=2[/tex]

Since:

fifth term = a+4d

sixth term = a+5d

The final answer is:

fifth term + sixth term = [tex]2a+9d=2+18=20[/tex]

Answer:

The answers are given in the photo

Answer:

[tex]80. \bar{75}[/tex]

Answer:

It should be [tex]3\sqrt{2} i[/tex]

Step-by-step explanation:

Answer:

4.242.....

Step-by-step explanation:

Hope this helped!

Answer:

no. c is the correct answer

Step-by-step explanation:

Well. Let's call α the 120° angle, and β its supplementary angle (80°). Let's draw also the height of the triangle. We'll call it CH. We know, from goniometric relations, that BC * sinβ = CH and BC * cosβ = BH. We just apply the pythagorean theorem so we get: AC = [tex]\sqrt{(AB+BH)^2+CH^2}.[/tex] By inserting all the values you'll get the result.

There is no answer to this because:

Any digit repeating like that would usually be ?/9

Example: 0.1 repeating = 1/9

                0.2 repeating = 2/9

                0.8 repeating = 8/9

But 0.9 repeating? There should not be a fraction for that.

If you want to round up to 1, you can.