**Answer:**

18

**Step-by-step explanation:**

The expression would be 24/x + 15. 24 divided by 8 is 3 and 3 plus 15 is 18.

Answer plzzz!!!!!!!!!!!

**Answer:**

110

**Step-by-step explanation:**

Know the angle for BCD which is 130.

Subtract 180 from 130 and you get angle c for the triangle which is 50

Already knowing B and C, add them both which comes up to 70

All triangle angles equal 180 so subtract 70 for 180 and you get 110

Tara wants to put a white fence aroung the yard including the garden. Write an

expression for the perimeter of her yard (including the garden).

Then simply the expression.

The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 6 x 12 ft.

The amount of fencing needed is 2(6) + 2(12) = 12 + 24 = 36 ft of fencing

discuss the criteria of a good test

The criteria of a good test should follow along a guideline of gauging where the students knowledge lies. However, it shouldn’t involve the regurgitation of information; nothing will be retained if that is the case. It be something both challenging and rewarding.

I hope this is what you needed :]

I hope this is what you needed :]

Find the solution of the differential equation that satisfies the given initial condition.

The first equation is separable:

dy/dx = x/y ⇒ y dy = x dx

(provided that y ≠ 0)

Integrating both sides yields

1/2 y² = 1/2 x² + C

Given that y(0) = -8, we find

1/2 • (-8)² = 1/2 • 0² + C ⇒ C = 32

so that the particular solution is

1/2 y² = 1/2 x² + 32

Solving for y explicitly, we have

y² = x² + 64

y = ± √(x² + 64)

but since y(0) is negative, we take the negative solution:

**y = - √(x² + 64)**

The second equation is also separable:

du/dt = (2t + sec²(t)) / (2u) ⇒ 2u du = (2t + sec²(t)) dt

Integrate both sides:

u² = t² + tan(t) + C

Given u(0) = -6, we have

(-6)² = 0² + tan(0) + C ⇒ C = 36

and so

u² = t² + tan(t) + 36

u = ± √(t² + tan(t) + 36)

but again we take the negative root here to agree with the initial condition, so

**u = - √(t² + tan(t) + 36)**

HELP ME FAST PLZZ

Wendy has 5 1/3 of ribbon.

Part A: How many 2/3 -foot pieces can Wendy cut from the 5 1/3 feet of ribbon? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)

**Answer:**

Part A: 8 ribbons

Part B: see below

**Step-by-step explanation:**

first 5 1/3 = 16/3

[tex] \frac{16}{3} \div \frac{2}{3} \\ = \frac{16}{3} \times \frac{3}{2} \\ = \frac{48}{6} = 8[/tex]

** the answer is 8 dude!**

if (a+b)^2=54, and (a-b)^=46, then a^2+b^2=?

[tex](a+b)^2 =a^2 +b^2 + 2ab = 54~~~.....(i)\\\\(a-b)^2 = a^2 +b^2 -2ab = 46~~~.....(i)\\\\\\(i)+(ii):\\\\(a+b)^2 +(a-b)^2 = 54+46\\\\\implies a^2 +b^2 + 2ab + a^2 +b^2 - 2ab =100\\\\\implies 2a^2 +2b^2 =100\\\\ \\\implies 2(a^2 +b^2) =100\\\\\implies a^2 +b^2 = \dfrac{100}2 = 50[/tex]

An angle measures 136°. What is the measure of its supplement?

**Answer:**

**44⁰.**

**Step-by-step explanation:**

Its supplement = 180 - 136

= 44 degrees.

–3 2/6 ÷ 1 1/2=

A. 9/20

B. -3 2/3

C. -2 2/9

D. -5

**Answer:**

its C

1.convert the mixed number to an improper fraction

([tex]\frac{-20}{6\\}[/tex] x [tex]\frac{2}{3}[/tex] )

2. reduce the numbers with the greatest common factor (2)

[tex]\frac{-20}{3}[/tex] x [tex]\frac{1}{3}[/tex]

3. then multiply and get

[tex]\frac{-20}{9}[/tex]

4. then reduce to get

-2[tex]\frac{2}{9}[/tex]

**Step-by-step explanation:**

Mrs. Nisbet had 97 books in her classroom library. She received a grant to expand her classroom library. After spending the money, she had 213 books. What is the percent increase? *

**Answer: 219**

**Step-by-step explanation:**

The sum of two numbers is 20. The greater number is 4 more than three times the smaller number.

**Answer:**

And x=12 are the two numbers.

**Step-by-step explanation:**

x+y=20-----(1)

Let x be the larger number of the two.

x=2y-4

Hence 4=2y-x------(2)

Adding (1) and (2) we get 3y=24 so y=8

And x=12 are the two numbers.

How can the equation of a parabola be derived when given the focus and the directrix?

**Answer:**

**HOPE ****ITS ****HELP**

Select the equation that has a = 112 as its solution.

a−114=35

a+358=434

416+a=523

a×38=214

**Answer:**

none

**Step-by-step explanation:**

a-114=35 ⇒ a= 149

a+358=434⇒ a=76

416+a=523⇒ a=107

ax38=214⇒ a=5.63

The equation that has 112 as it's **solution **is not existing in the options.

An equation is the statement of two **expressions **located on two sides connected with an equal to sign. The two sides of an equation is usually called as **left **hand side and right hand side.

Given are four **linear **equations.

Check the solution of each equation.

a - 114 = 35

**Adding **both sides of the equation with 114,

⇒ a = 35 + 114 = 149

a + 358 = 434

**Subtracting **both sides of the equation with 358,

⇒ a = 434 - 358 = 76

416 + a = 523

Subtracting both sides of the equation with 416,

a = 523 - 416 = 107

a × 38 = 214

**Dividing **both sides of the equation with 38,

a = 214/38 = 5.63

Hence none of the equations have 112 as it's solution.

Learn more about **Equations **here :

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The cost C to produce x number of tennis rackets is C = 190 + 18. The tennis rackets are sold wholesale for $23

each, so revenue R is given by R = 23x. Find how many tennis rackets the manufacturer needs to produce and

sell to break even.

38 tennis rackets or

43 tennis rackets or

19 tennis rackets or

33 tennis rackets

**Answer:**

19 tennis rackets

**Step-by-step explanation:**

6(31)+6(4)-6(15) mental math form

186+6 multiple 4-6 multiple 15

186+24-90

120 answer

186+24-90

120 answer

[tex]6(31)+6(4)-6(15)=6(31+4-15)=6(20)=120[/tex]

ok done. Thank to me :>

Two numbers multiply to be 0 and add to be -81?

**Answer:**

**0 and -81**

**Step-by-step explanation:**

So, we know anything times zero is zero, and anything added or subtracted to zero would give you that number, meaning one of these numbers is zero.

Zero plus -81 will give you the same number, -81, and zero times -81 will give you zero since anything added to or subtracted to zero is that number.

Find the slope and the y-intercept of the line with the equation 8y - x + 7 = 0.

8y - x + 7 = 0 => y = 1/8x - 7/8

The slope is: 1/8

Ok done. Thank to me :>

The slope is: 1/8

Ok done. Thank to me :>

What is the equation of the line that passes through

(-5, 0) and (4, 3)?

**Answer:**

[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]

**Step-by-step explanation:**

The point-slope form of an equation for a line is y = mx + b (m is the slope; b is the y-intercept).

First, find the slope using the two given points.

[tex]m=\frac{y_2 - y_1}{x_2-x_1}=\frac{3-0}{4-(-5)}=\frac{3}{9}=\frac{1}{3}[/tex]

At this stage, you know the slope and need to find the y-intercept. Plug in one of the points (either one) into the equation. Let's use (-5, 0).

[tex]y=\frac{1}{3}x+b\\0=\frac{1}{3}(-5)+b\\0=-\frac{5}{3}+b\\\frac{5}{3}=b[/tex]

The equation for the line is [tex]y=\frac{1}{3}x+\frac{5}{3}[/tex].

You can check for errors by putting in the point you didn't use...

Check to make sure the point (4, 3) satisfies the equation.

[tex]3=\frac{1}{3}(4)+\frac{5}{3}\\3=\frac{4}{3}+\frac{5}{3}\\3=\frac{9}{3}[/tex] True!

a family buys 6 airline tickets online. the family buys travel insurance that costs 18 per ticket. the total cost is 1,044

**Answer:**

936

**Step-by-step explanation:**

Therefore you multiply 6 by 18 = 6×18= 108

1,044 - 108 = 936

So therefore the total is 936

Find the future value of $124,357 deposited at 8% compounded quarterly for 4 years

**Answer:**

Future value, $63,398.79; Interest, $16,798.79

**Step-by-step explanation:**

I need the answer for this ASAP

**Answer:**

Y is cookies x is cupcakes

for the first birthday party: 20x + 40y = 61

For the second party 30x + 30y = 64.50

There aren't any other constraints

20x + 40y = 61

30x + 30y = 64.50

**Step-by-step explanation:**

1. Which of the following is the remainder when the polynomial x^2-5x+3 is divided by (x -8)?

(1) 107

(3) 3

(2) 27

(4) 9

**Answer:**

27

**Step-by-step explanation:**

Use synthetic division:

8 | 1 -5 3

__8_24

1 3 | 27

Therefore, (x²-5x+3)/(x-8) = x+3 R27

3) Choose the graph which represents the solution to the inequality:

XS-4x + 15

A)

B)

CS

Answer: x has to be less than 5 i can’t read it but it is starting from positive 5 with the arrow going to the left

Step-by-step explanation:

Choose correct way to write 7 cents using the dollar symbol.

$.07

$ 7 ¢

$.07 ¢

$.7

$.07. You do not write $.7 because that would mean 70 cents and should be written with a 0 at the end anyways. You do not write any dollar amount with a cents sign at the end, because the dollar sign replaces it. You write $.07 because 7 cents means 7/100 (7 one hundredths) so the seven must be written in the hundredths spot. Remember, the hundredth spot is the second number after a decimal.

**Step-by-step explanation:**

$.07

$.7

The answer was first one.

3 to the power of -2 as a fraction

0.03 is your answer yes

From the** power rules, the power **[tex]3^{-2}[/tex] is **equal **to the **fraction** [tex](\frac{1}{3})^{-2}[/tex].

There are different **power rules** one of them is the** negative exponent**. For this rule when you have a negative exponent, you need to invert the number, i.e, the **power base** is converted to the **denominator**. After that, you should **solve the power** with a **positive exponent.** See the examples:

[tex]5^{-3}=(\frac{1}{5})^3=\frac{1}{125} \\ \\ \\ {\frac{4}{6} }^{-2}={\frac{6}{4} }^2=\frac{36}{16}[/tex]

Then, the question gives:

[tex]3^{-2}=({\frac{1}{3}})^2[/tex]

Read more about power rules here:

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At noon, a tank contained 8 in. of water. After several hours, it contained 6 in. of water. What is the percent decrease of water in the tank?

**Answer:**

25%

**Step-by-step explanation:**

8-6=2

2/8=0.25

0.25×100=25%

The sum of n terms of the AP √3, √8, √18, √32,.... is

S = √2+√8+√18+√32+……………… n terms.

or, S = √2 + 2√2 +3√2 +4√2.+………………….+ n terms.

This is an A.P. in which a = √2. , d = √2.

Sn = n/2.[2.a +(n-1).d].

or, Sn = n/2.[ 2√2 +(n-1).√2].

or, Sn = (n/2).√2.[ 2 +n-1].

or, Sn = n.(n+1)/√2. Answer.

Given AP :√2,√8,√18,√32,...

First term = √2

Common difference = √8-√2

⇛ √(2×2×2)-√2

⇛ 2√2-√2

⇛√2

We know that

Sum of first n terms of an AP

⇛ Sn = (n/2)[2a+(n-1)d]

⇛ Sn = (n/2)[2√2+(n-1)(√2)]

⇛ Sn = (n/2)[2√2+√2 n -√2]

⇛ Sn = (n/2)[√2 n +√2)

⇛ Sn = (n/2)×(√2)(n+1)

⇛Sn = (n/√2)(n+1)

⇛ Sn = n(n+1)/√2

*Additional** comment**:*

nth term of an AP = a+(n-1)d

Sum of first n terms of an AP

Sn = (n/2)[2a+(n-1)d]

Sum of the first n terms = Sn =

(n/2)(a+an)

If a,b,c are the three consecutive terms in an AP then b = (a+c)/2

**also**** read**** similar**** questions****:** Find the sum of last ten terms of the AP : 8, 10, 12,...., 126.

https://brainly.com/question/9795565?referrer

The sum of the 8th & 4th of an Ap is 24 and sum of and sum of 6th & 10th term is 44 Find the Ap

https://brainly.com/question/18757512?referrer

An object starts from rest with a constant acceleration of 2m/s^2 along a straight line. Find the distance travelled for the interval of 10 s.

**Answer:**

Distance is 100 m

**Step-by-step explanation:**

From second equation of motion;

[tex]{ \rm{s = ut + \frac{1}{2} {at}^{2} }} \\ [/tex]

s is displacementu is initial velocity, u = 0 [ from rest ]a is acceleration, a = 2 m/s²t is time, t = 10s[tex]{ \rm{s = (0 \times 10) + ( \frac{1}{2} \times 2 \times {10}^{2}) }} \\ \\ { \rm{s = {10}^{2} }} \\ \\ { \rm{s = 100 \: {m} }}[/tex]

The **distance** covered is 200m

Data;

acceleration = 2m/s^2time = 10sdistance = ?Distance CoveredTo find the** distance** covered by the object, we have to use the formula

of velocity. But we are not given the **velocity** or** speed** of the object here.

[tex]v = s/t[/tex]

where s and t are the **distance** and **time** respectively.

But from** acceleration**,

[tex]a = v/t\\v = a*t\\v = 2 * 10 \\v = 20m/s[/tex]

The** velocity** of the object is 20m/s

let's use this to find the distance covered.

[tex]v = s/t\\20 = s/10\\s = 20*10\\s= 200m\\[/tex]

The **distance** covered is 200m

Learn more on** acceleration**,** distance**,** velocity** and** time** here;

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PLEASE LAST FEW SETS OF QUESTIONS FOR SEMESTER PLEASE HELP 2

Problem 1

Answer: C)--------------------

Explanation:

a1 = 1.7 = amount of concrete for the first step

a4 = x = amount of concrete for the fourth step

Sn = sum of the first n terms of an arithmetic sequence

Sn = (n/2)*(a1 + an)

S4 = (4/2)*(a1 + a4)

S4 = 2(1.7+x)

S4 = 2x+3.4

S4 = 17

2x+3.4 = 17

2x = 17-3.4

2x = 13.6

x = (13.6)/2

x = 6.8

We need 6.8 cubic feet of concrete for the fourth step. We'll use this value to help us find the common difference d

an = nth term of an arithmetic sequence

an = a1 + d(n-1)

a4 = a1 + d(4-1)

a4 = a1 + 3d

6.8 = 1.7 + 3d

6.8-1.7 = 3d

5.1 = 3d

(5.1)/3 = d

1.7 = d

d = 1.7

Coincidentally, the common difference is the same as the first term. This won't always happen.

Now we can compute the 12th term

an = a1 + d(n-1)

a12 = 1.7 + 1.7(12-1)

a12 = 20.4

which is then used to find the sum of the first 12 terms

Sn = (n/2)*(a1 + an)

S12 = (12/2)*(a1 + a12)

S12 = 6(1.7 + 20.4)

S12 =** 132.6**

=============================================================

Problem 2

Answer: C) [tex]x^2 + (y-10)^2 = 225\\\\[/tex]--------------------

Explanation:

The center is (h,k) = (0,10) which is where the nozzle is located.

The distance from (0,10) to (0,25) is 15 units, so r = 15.

Also, the distance from (0,10) to (0,-5) is also 15 units.

Plug those values into the equation below.

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-0)^2 + (y-10)^2 = 15^2\\\\x^2 + (y-10)^2 = 225\\\\[/tex]

That equation represents the boundary of the circle, which is where the water can reach.

=============================================================

Problem 3

Answer: B)--------------------

Explanation:

a1 = height 1st bounce = 6.7 fta2 = height 2nd bounce = 81% of a1 = 81% of 6.7 = 0.81*6.7 = 5.427a3 = height 3rd bounce = 81% of a2 = 81% of 5.427 = 0.81*5.427 = 4.39587Or note that,

a3 = 0.81*(a2) = 0.81*(0.81a1) = a1*(0.81)^2 = 6.7*(0.81)^2 = 4.39587

which must mean,

a4 = a1*(0.81)^3a5 = a1*(0.81)^4a6 = a1*(0.81)^5This is based off the idea that [tex]a_n = a(r)^{n-1}[/tex]

So,

a6 = a1*(0.81)^5

a6 = 6.7*(0.81)^5

a6 = 2.33614554867

a6 = **2.336**

PLEASE HELP ME WITH THIS QUESTION

Answer:It’s money so use the $ symbol. You got this

Step-by-step explanation:

I need help asap!! pls pls PLS help

**Answer:**

**Step-by-step explanation:**

It's the third choice. Since the triangles are given as similar and they are right triangles, points A, B, and D are all on the hypotenuses of those 2 triangles and are co-linear. The slope between all points on a single line is constant.

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