4. Evaluate the expression for the given value of each variable.


5a2 -7 -b3

when a = -2 and b = -3

please help!
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Answer:

x = 43

Step-by-step explanation:

x = 98 - 55

x = 43

Answer:

x=43

Step-by-step explanation:

have a nice day and stay safe:)

:))))))

Step-by-step explanation:

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The simplified ratio for 0.875 is 7:8 .

To express the ratio for 0.875, we need to convert the decimal value to a ratio form.

0.875 can be written as 875 / 1000 because the decimal value is equivalent to the fraction obtained by dividing the numerator by the denominator.

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 125 in this case.

Dividing 875 and 1000 by 125, we get:

875 / 125 = 7

1000 / 125 = 8

So, the simplified ratio for 0.875 is 7:8 .

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Step-by-step explanation:

P(rain and flight delayed) = P(rain) x P(flight delayed) = 0.07 x 0.19

= 0.013 (nearest thousandth)

Answer: 0.01

Step-by-step explanation:

the person above did it wrong, this answer is for sure correct.

Answer:

B ( -1, -8)

Step-by-step explanation:

A ( -7, -6)

midpt (-4, -7)

Equation:

(x + 3, y - 1)

Solve for B:

(-4, -7)

(x + 3, y - 1)

( -1, -8)

Answer:

(f*g)(x) = 3x^2 + 25x - 18

Step-by-step explanation:

(f*g)(x) represents the product of the two functions f and g:

(f*g)(x) = 27x - 18 + 3x^2 - 2x, or, after simplification,

(f*g)(x) = 25x - 18 + 3x^2, or

(f*g)(x) = 3x^2 + 25x - 18

I don't know how you 50th your mind to the fact 7days 7days I know that was 50th and I had no doubt about that can happen in a few months but his dream is the next one to get money to go some other time and do a few more pains in your car and get a better feel of what is the best thing for the use sharks live to the point in which 50th the world is not healthy and it

Answer: 40

Step-by-step explanation: For every 12 people, 1 bag of peanuts is sold. So for 480 people, which is 40 of 12 people, there must be 40 of 1 bag of peanuts, or 40 bags of peanuts, hope this helps!

Answer:

4

Step-by-step explanation:

p(3) = 2³ = 8

p(2) = 2² = 4

8-4 = 4

Answer:

18 is 3 more than 9- false

18 is 3 times as much as 6 - true

9 is 3 times as much as 27- false

9 is 3 more than 6 - true

Answer:

5 + 5 + 3 × 7

Step-by-step explanation:

Correct me if I'm wrong.

Answer:

If they hadn't stopped at the gas station and had driven along the diagonal path, their trip would have been 12 miles shorter.

Step-by-step explanation:

Given that Gigi's Family left their house and drove 14 miles south to a gas station and then 48 miles east to a waterpark, to determine how much shorter would their trip to the waterpark have been if they hadn't stopped at the gas station and had driven along the diagonal path instead the following calculation must be performed, using the Pythagorean theorem:

14 ^ 2 + 48 ^ 2 = X ^ 2

196 + 2,304 = X ^ 2

√ 2500 = X

50 = X

14 + 48 - 50 = X

62 - 50 = X

Thus, if they hadn't stopped at the gas station and had driven along the diagonal path, their trip would have been 12 miles shorter.

Answer:

772 hamburgers sold on monday

Step-by-step explanation:

add the problem

Answer:

7. 78

8. 169

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

You started of with 5/5 once one slice was eat it became 4/5

you must then convert 4/5 into a percent

To convert a fraction to a percent, divide the numerator by the denominator. Then multiply the decimal by 100.

so 4 divided by 5 =0.8

0.8 x 100= 80

80%

Answer:

g) [tex]u^{4}\cdot v^{-1}\cdot z^{3}[/tex], h) [tex]\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}[/tex]

Step-by-step explanation:

We proceed to solve each equation by algebraic means:

g) [tex]\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}[/tex]

1) [tex]\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}[/tex] Given

2) [tex]\frac{\frac{u^{5}\cdot v}{z} }{\frac{u\cdot v^{2}}{z^{4}} }[/tex] Definition of division

3) [tex]\frac{u^{5}\cdot v\cdot z^{4}}{u\cdot v^{2}\cdot z}[/tex]   [tex]\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}[/tex]

4) [tex]\left(\frac{u^{5}}{u} \right)\cdot \left(\frac{v}{v^{2}} \right)\cdot \left(\frac{z^{4}}{z} \right)[/tex]  Associative property

5) [tex]u^{4}\cdot v^{-1}\cdot z^{3}[/tex]   [tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]/Result

h) [tex]\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}[/tex]

1) [tex]\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}[/tex] Given

2) [tex]\frac{\frac{x^{2}-16}{x^{2}-10\cdot x+25} }{\frac{3\cdot x - 12}{x^{2}-3\cdot x - 10} }[/tex] Definition of division

3) [tex]\frac{(x^{2}-16)\cdot (x^{2}-3\cdot x -10)}{(x^{2}-10\cdot x + 25)\cdot (3\cdot x - 12)}[/tex]  [tex]\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}[/tex]

4) [tex]\frac{(x+4)\cdot (x-4)\cdot (x-5)\cdot (x+2)}{3\cdot (x-5)^{2}\cdot (x-4) }[/tex] Factorization/Distributive property

5) [tex]\left(\frac{1}{3} \right)\cdot (x+4)\cdot (x+2)\cdot \left(\frac{x-4}{x-4} \right)\cdot \left[\frac{x-5}{(x-5)^{2}} \right][/tex] Modulative and commutative properties/Associative property

6) [tex]\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}[/tex]  [tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]/[tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]/Definition of division/Result

Answer:

they are the same

Step-by-step explanation:

We can conclude that the volume of cylinder 1 is 3/4 times the volume of cylinder 2.

The volume of cylinder is given by -

V = πR²h

Given is to compare the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to the volume of a cylinder with a radius of 8 inches and a height of 6 inches.

Volume of cylinder 1 will be -

V(1) = πR²h = 6 x 6 x 8π = 36 x 8π = 288π

Volume of cylinder 2 will be -

V(2) = πR²h = 8 x 8 x 6π = 64 x 6π = 384π

So, we can write that -

V(1)/V(2) = (288π)/(384π)

V(1)/V(2) = (288)/(384)

V(1)/V(2) = 3/4

Therefore, we can conclude that the volume of cylinder 1 is 3/4 times the volume of cylinder 2.

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Answer:

1st one = 4th option

2nd one = 3rd option

Step-by-step explanation:

Answer:

15ft

Step-by-step explanation:

Answer:

4,684 km

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

The ratio of a side of PQRS to the corresponding side in TUVW. is 6:4=3:2.

The ratio of RS:VW=3:2. RS=12, and VW=x. 12:x=3:2. 3 multiplied by 4 is 12, so 2 multiplied by 4 is x. So, the makes x=8.

Answer:

y=3x+25

Step-by-step explanation:

For the equation y=3x+5, the slope is 3. Since the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-13)=3(x--4)

y-13=3x+12

y=3x+25

Answer:

6.

m1 : 61

m2 : 61

m3 : 29

7.

m1 : 87

m2 : 45

m3 : 45

m4 : 52

The required, function that models the balance of Stephani's account is

[tex]B(t) = 325(0.005)^t[/tex]. Option B is correct.

The function that models the balance of Stephani's account, B(t), in dollars, as a function of time, t, in months, can be determined using the given information.

Given:

Bank charges a fee of 0.5% per month for having a checking account.

Stephani's account has $325 in it.

The function that models the balance of Stephani's account, B(t), in dollars, as a function of time, t, in months, is:

b: [tex]B(t) = 325(0.005)^t[/tex]

In this function, the initial balance is $325, and the bank charges a fee of 0.5% per month, which is equivalent to 0.005 as a decimal. The exponent "t" represents the number of months, and with each passing month, the balance is reduced by 0.5%.

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5x = 7x - 8

7x - 5x = 8

2x = 8

x = 8 ÷ 2

x = 4

Answer:

x = 3

Step-by-step explanation:

Given that,

The mode of the data 2,3,3,5,7,7,6,5, x and 8 is 3.

We need to find the value of x.

We know that, Mode is the number in a data with Max frequency. x can be 3 or 7. If x = 7, mode becomes 7 and if x = 3, mode equals 3.

Hence, the value of x is equal to 3.