5. What value of makes a true equivalent fraction statement.
3
36 72

Answer:

Ms. Basta saved $375, and the laptop was $875 after the 30% off.

Answer:

$375 dollars

Step-by-step explanation:

since she recived a 30% discount on the product, we are looking for 30% of 1250, which is 375. So Ms. Basta saved $375 dollars.

Answer:

so 2x+3x+130=180

so 5x+130=180

5x=50

so 2x =20

3x which is angle a is equal to 30 degree

Answer:

The measure of angle A is 30 degrees.

Step-by-step explanation:

Since all triangles are equal to 180 degrees, you take set up an equation where u add 2x and 3x to get 5x and u add that to 130 and set it equal to 180

2x+3x+130=180 ( combine like terms)

5x=50 (subtract 130 from both sides to isolate our variable which is x)

x=10 (divide both sides by 5 to get rid completly isolate our variable)

Now we know x=10 you can plug that in as our x value so 3x becomes 3*10 which equals 30 which is your answer.

Take an arbitrary interval [a, b], where a < b.

Compute the arc length L of y = f(x) over [a, b] :

[tex]L=\displaystyle\int_a^b\sqrt{1+\left(f'(x)\right)^2}\,\mathrm dx[/tex]

Now comptue the area A under the curve y = f(x) over [a, b] :

[tex]A=\displaystyle\int_a^bf(x)\,\mathrm dx[/tex]

We have

f (x) = 1/4 e ⁻ˣ + e ˣ   →   f ' (x) = -1/4 e ⁻ˣ + e ˣ

Then

√(1 + (f ' (x))²) = √(1 + (-1/4 e ⁻ˣ + e ˣ)²)

… = √(1 + 1/16 e ⁻²ˣ - 1/2 + e ²ˣ)

… = √(1/16 e ⁻²ˣ + 1/2 + e ²ˣ)

… = 1/4 √(e ⁻²ˣ + 8 + 16e ²ˣ)

… = 1/4 √((e ⁻ˣ + 4 e ˣ)²)

… = 1/4 (e ⁻ˣ + 4 e ˣ)

… = 1/4 e ⁻ˣ + e ˣ

… = f (x)

so both A = L for any choice of interval [a, b].

It is true that the arc length on any interval has the same value as the area under the curve.

The function is given as:

[tex]f(x) = \frac 14e^{-x} + e^x[/tex]

Differentiate the function

[tex]f'(x) = -\frac 14e^{-x} + e^x[/tex]

On any interval, the following must be true

[tex]f(x) =f'(x)[/tex]

and

[tex]f(x) = \sqrt{1 + (f'(x))^2}[/tex]

So, we have:

[tex]f(x) = \sqrt{1 + (-\frac 14e^{-x} + e^x)^2}[/tex]

Expand the exponents

[tex]f(x) = \sqrt{1 + (\frac{1}{16}e^{-2x} - \frac 12 + e^{2x})}[/tex]

Remove the bracket

[tex]f(x) = \sqrt{1 + \frac{1}{16}e^{-2x} - \frac 12 + e^{2x}}[/tex]

Evaluate the like terms

[tex]f(x) = \sqrt{\frac{1}{16}e^{-2x} + \frac 12 + e^{2x}}[/tex]

Multiply by 16/16

[tex]f(x) = \sqrt{\frac{16}{16}(\frac{1}{16}e^{-2x} + \frac 12 + e^{2x})}[/tex]

So, we have:

[tex]f(x) = \sqrt{\frac{1}{16}(e^{-2x} + 8 + 16e^{2x})}[/tex]

Take the square root of 1/16

[tex]f(x) = \frac{1}{4}\sqrt{e^{-2x} + 8 + 16e^{2x}}[/tex]

Express the radical as a perfect square

[tex]f(x) = \frac{1}{4}\sqrt{(e^{-x} + 4e^{x})^2}[/tex]

Evaluate the exponents

[tex]f(x) = \frac{1}{4} * (e^{-x} + 4e^{x})[/tex]

Evaluate the products

[tex]f(x) = \frac{1}{4}e^{-x} + e^{x}[/tex]

Hence, it has been proved that  the arc length on any interval has the same value as the area under the curve.

Read more about areas at:

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Answer:

Add 8 to both sides of the equation.

−6x²−2−3x+8=0 Add −2and 8.

−6x²−3x+6=0

Factor −3 out of −6x²−3x+6.

−3(2x²+x−2)=0

Divide each term by −3 and simplify.

2x²+x−2=0

Use the quadratic formula to find the solutions.

(−b±√b2−4(ac))/2a

Substitute the values a=2 , b=1, and c=−2 into the quadratic formula and solve for x .

(−1±√12−4⋅(2⋅−2))/(2⋅2) Simplify.

x=−1±√174

The final answer is the combination of both solutions.

x=(−1−√17)/4, (−1+√17/)4

The result can be shown in multiple forms.

Exact Form:

x=(−1−√17)/4, (−1+√17)/4

Step-by-step explanation:

Step-by-step explanation:

Perimeter=2length+2width

=2×20 + 2×18

40+36

=76inches

Answer: 76

Step-by-step explanation:

Answer:

It is equal to 80.9

Step-by-step explanation:

Please give me brainliest I would appreciate it

Answer:

186.2 in^2

Step-by-step explanation:

7*9.5*2.8=186.2

Answer:

8.5 feet

Step-by-step explanation:

1.5 times 4

Answer:

b=8•P

Step-by-step explanation:

The equation for the total number of bottles, b, in p packages, is b = 8p.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Each package of sports drinks contains 8 bottles.

The total number of bottles, b, in p packages.

b = 8p

Here,

p represents the number of packages of sports drinks that Harris stacks on the shelf.

Multiplying the number of packages by the number of bottles in each package gives the total number of bottles that Harris stacks on the shelf.

Thus,

The total number of bottles, b, in p packages.

b = 8p

Learn more about equations here:

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Answer:

see below

Step-by-step explanation:

a- 0.2

as 0.35 + 0.45=0.8

1-0.8=0.2

c. 112

b. im not sure what b is but if i work it out ill add it as an additional comment :)

Answer:

Segment EH and segment E prime H prime both pass through the center of dilation (A)

The complete question related to this found on brainly (ID:16812154) is stated below:

Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the dilation?

E(0,5) F(1,1) G(-2,1) H(0,1)

a) segment EH and segment E prime H prime both pass through the center of dilation.

b)The slope of segment EF is the same as the slope of segment E prime H prime.

c) segment E prime G prime will overlap segment EG. segment

d) EH ≅ segment E prime H prime.

Step-by-step explanation:

Answer:

b,c

Step-by-step explanation:

b is written  in the written form properly and  is is extended using the right place values

4,38 * 10⁴ = 4,38 * 10 000 = 43 800

Answer:

5000000:3

Step-by-step explanation:

https://auro.alone.gg/bYWtZVOw_

Answer:

Step-by-step explanation:

Ratio means division, simply we divide, and we get 3:5000000

This is the ratio of human to ants

Answer:

Step-by-step explanation:

lcm = 3150

hcf= 15

Answer:

A

Step-by-step explanation:

stay safe and bless

Answer: Its asking for the combination for the shapes like WXYX (example) ( I think)  just search it up because I cant help much



Step-by-step explanation: j

Answer:

[tex]y=\frac{2}{3}x+\frac{19}{3}[/tex]

Answer:

she is wrong

Step-by-step explanation:

Using the conversion rate

1 Euro equals  =0.87 Pound sterling

84 euros = x

Cross multiply

1 * x = 0.87 * 84

x = 0.87 * 84

x = 73.08 pounds

Since 84 euros is not up to 100pounds,. Hence she is wrong

Answer:

Corals, some sponges, some acoel flatworms, and echinoderm larvae.

Step-by-step explanation:

Answer:

Umm, it test to go into high school is pretty simple

Step-by-step explanation:

Just go with your gut, because its very simple, believe in your self and don't double guess yourself! I believe in you, and Good Luck!

Ps. here is a amazing math solver that solves most of your math problems

https://www.symbolab.com/solver/step-by-step/42%20%2B%207x%20-%5Cleft(2x%20-38%5Cright)%3D0

Answer:

Marika's calculation is correct

Step-by-step explanation:

Lori has erroneously identified a common ratio of the geometion sequence

one has to divide subsequent term by the preceding term as was correctly by Marika. so Marika's calculation is correct.

hope it helps...

have a great day !!!

Answer:

172.12 sq in

Step-by-step explanation:

The figure is comprised of a semicircle, and 2 rectangles

Area of semicircle = 1/2(3.14)4^2 = 25.12

Area of rectangle with length of 9 and width of 7 = 7(9) = 63

Area of rectangle with length of 14 and width of 6 = 6(14) = 84

Total area = 25.12 + 63 + 84 = 172.12 sq in

Answer:

the answer is no they will not be all underweight, they will have a 5% chance of being underweight.  They will probably be overweight if you just pick 3.

Step-by-step explanation:

The probability of two Americans will be underweight will be 0.0324.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

Probability of selecting one American will be underweight = 18% = 0.18

Probability of the second one will be underweight = 0.18

Probability of both will be underweight = 0.18² = 0.0324

Hence "The probability of two Americans will be underweight will be 0.0324".The probability

For more information about the probability,

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Answer:

3.14

Step-by-step explanation:

A = 3.14(1)²

A = 3.14(1)

A = 3.14

Answer:

3.18

Step-by-step explanation:

Answer:

1. y=0

2. y=2

3. y=4

4. y=-2(-4)-4

=32

Answer:

y = 2x

x = 0

y = 2*0 = 0

Answer: 0

x = 1

y = 2*1 = 2

Answer: 2

x = 2

y = 2*2 = 4

Answer: 4

y = -2x - 4

x = -4

y = -2*-4  - 4 = 8 - 4 = 4

Answer: 4

Step-by-step explanation: