3.
Find the value of x, rounded to the nearest tenth.

31.8

10.3

10.7

31.4

Answer:

-57

Step-by-step explanation:

[tex]log \frac{ {c}^{7} }{ {a}^{6} {b}^{2} } \\ \\ = log {c}^{7} - log( {a}^{6} {b}^{2} ) \\ \\ = log {c}^{7} - (log {a}^{6} + log{b}^{2} )\\ \\ = 7 \: log {c} - (6 \: log {a}+ 2 \: log{b})\\ \\ = 7 \:( - 9) - [6 \: ( - 5)+ 2 \: (12)] \\ \\ = - 63 - [ - 30 + 24] \\ \\ = - 63 - [- 6] \\ \\ = - 63 + 6 \\ \\ = - 57[/tex]

Answer:

[tex]a=3,~ b = -6,~ c=2[/tex]

Step-by-step explanation:

[tex]\text{Compare}~ 3x^2 -6x +2 =0 ~\text{with the standard form of quadratic equation,}\\\\ax^2 +bx +c =0[/tex]

Answer:

x = p(m - n)

Step-by-step explanation:

Solve m=n+x/p for x.  Start by eliminating the fraction:  Multiply all three terms by p.  Then we have mp = np + x, which is the same as x = mp - np, or

x = p(m - n)

Answer:

9 -- B

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

The average rate of change for the interval from x = 5 to x = 6 is - 22.

A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.

Since, the quadratic function has a vertex at (1, 2),

Hence, the equation for the function can be written in vertex form as:

⇒ y = a(x - 1)² + 2

Where "a" is a constant that determines the shape of the parabola. To find the value of "a", we can use one of the other points on the parabola.

Let's use the point (2, 1):

1 = a(2 - 1)² + 3

1 = a + 3

a = - 2

So, the equation for the quadratic function is:

y = -2x² + 2

Now we can use this equation to find the average rate of change between x = 5 and x = 6. The value of the function at x = 5 is:

y = - 2 x 25 + 2 = - 48

The value of the function at x = 6 is:

y = -2 x 36 + 2 = - 70

The average rate of change between x = 5 and x = 6 is:

(y₂ - y₁) / (x₂ - x₁) = (- 70 - (-48)) / (6 - 1) = - 22

Therefore, the average rate of change for the interval from x = 5 to x = 6 is - 22

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Answer:

4

Step-by-step explanation:

subsitute the value of the variable into the expression and simplify.

Answer:

813.33 N/m²

Step-by-step explanation:

Before finding the answer to this, let us convert 750cm² to m².

1 m ⇒ 100cm

1 m × 1 m ⇒ 100 cm × 100 cm

--------------

1 m² ⇒ 10000 cm²

 x    ⇒ 750 cm²

Let us use cross multiplication to find the value of x.

10000x = 750 × 1

10000x = 750

x = 750/10000

x = 0.075

∴ 750 cm² = 0.075 m²

And now let us find the pressure.

Pressure = Force ÷ Area

Pressure = 61 N ÷ 0.075 m²

Pressure = 813.33 N/ m²

Answer: 2584

Step-by-step explanation: Length × height × width

Answer:

7 in

Step-by-step explanation:

L * W * H = volume

L * 5 * 9  = 315

L = 315 / (5*9) = 7 in

The first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190

Series are sum of sequences

The formula for calculating the last term of a sequence is expressed as:

Sn = n/2(a+l)

Given the following

Sn = 4185

n = 18

l = 275

Required

first term "a"

Substitute

4185 = 18/2(a + 275)

4185 = 9(a + 275)

465 = a+ 275
a = 465 - 275
a = 190

Hence the first term of the series if the series contains 18 numbers and has a sum of 4,185 is 190

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Answer:

a

Step-by-step explanation:

you need to have same kx for lines to be parallel.

y=kx+l

l is where the line is going through ordinate and it doesn't matter, but the kx has to be the same

Answer:

5.1416

Step-by-step explanation:

L = πr + d = 1 * π + 2 [meter] ≈ 5.1416 [meter]

Answer:

39

Step-by-step explanation:

39 + 40 + 41 = 120

39 is the least of these integers

Answer:

f(g(x))=3x^2-30x+75

Step-by-step explanation:

We want to find the value of f(x) when x is equal to g(x)

So we can substitute the value of g(x) into the f(x) equation

f(g(x))= 3(5-x)^2

f(g(x))= 3(25-10x+x^2)

f(g(x))=3x^2-30x+75

Completely simplified version: 3(x-5)^2

Answer:

4.5

Step-by-step explanation:

Find the amount of miles in 1 hour. 18/3=6

Now multiply 1.5x3=4.5

3/4=75

This is how i got 4.5 miles

Answer:

[tex]f^{-1}[/tex] (x) = 3(x - 2)

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{1}{3}[/tex] x + 2 ( subtract 2 from both sides )

y - 2 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

3(y - 2) = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 3(x - 2)

Answer:

3(x-2)

Step-by-step explanation:

interchange value of x and y

4 x 3/4 Sure hope this helps you

Answer:

this is true because he knows that 8 times 4 is 32 then he will automatically know that 8 divided by 32 will be 4 since 8 was a factor.

Step-by-step explanation:

I suck at explaining stuff but yeah this is true bc two factors of a number divided by it will always be the other factor yk

The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

The center of the circle is given as:

Center, (a,b) = (-4,9)

The diameter is given as:

d = 10

Calculate the radius (r)

r = 10/2 = 5

The circle equation is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x + 4)² + (y - 9)² = 5²

Expand

x² + 8x + 16 + y² - 18y + 81 = 25

Collect like terms

x² + y² + 8x - 18y + 16 + 81 - 25 = 0

Evaluate

x² + y² + 8x - 18y + 72 = 0

Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0

Read more about circle equations at:

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Answer:

X=8 years, option F

Step-by-step explanation:

Answer

6 years

Step-by-step explanation:

The answer is 6 years

The product of the expression in scientific notation is expressed as 6.45 * 10^-9

The standard scientific notation is expressed as:

A * 10^n

A is any value between 1 and 10

n is any integer

Given the product

(4.3 x 10-7)(1.5 x 10-3)

= (4.3 * 1.5)(10^-7 * 10^-3)
= 64.5 * 10^-10
= 6.45 * 10^-9

Hence the product of the expression in scientific notation is expressed as 6.45 * 10^-9

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Answer:

[tex]-\frac{52}{27}[/tex]

Step-by-step explanation:

Let's first convert everything to improper fractions as it becomes easier to compute with.

[tex]4 \frac{1}{3} = \frac{4*3+1}{3} =\frac{13}{3}[/tex]

Now we can put that back into the expression:

[tex]-\frac{4}{9} * \frac{13}{3}[/tex]

Nothing cancels out so the answer we get is:

[tex]-\frac{52}{27}[/tex]

Answer:

11

Step-by-step explanation:

hope this helps loves x

A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothe

Answer:

14137.17 cubic cm

Step-by-step explanation:

I can see that the radius here is 15cm, and when it says air, I am going to guess we are looking for the volume. We do the equation in order to get the volume, and get the answer 14137.17cm.

IMPORTANT : When it says air-  you have to realize it's VOLUME.

radius= 15 cm

the amount of cubic centimeters of air needed to fill the soccer ball.

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{3}{4} \times \pi \times {(15)}^{2} [/tex]

[tex]v = 14137.17 {cm}^{3} [/tex]

therefore, the soccer ball can hold 14137.17 cubic centimeters of air.

The factor of the polynomial 3x³ – 5x² – 12x + 20 is  (x – 2), (x + 2), and (3x – 5). Then the correct option is D.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The polynomial is given below.

f(x) = 3x³ – 5x² – 12x + 20

Then the factor of the polynomial will be

f(x) = (x – 2)(x + 2)(3x – 5)

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer: D.) 3x-5

Step-by-step explanation:

I would know because I got it right on my unit test.

Answer:

3053.63 un³

Step-by-step explanation:

Hello!

The diameter is 18, so the radius is half of the diameter, or 9.

Using the volume of a sphere formula: [tex]\frac43\pi r^3[/tex]

Solve:

The volume is 3053.63 un³.