In the proportion 2:3 = 16:24 ,the product of the two middle values is __.
The product of the two outside values is __.

Answer:

[tex] f(x)=8x^2+4\\ g(x)=\sqrt{2x^3}\\ f(g(x))=8((\sqrt{2x^3})^2)+4\\=16x^3+4\\=4(4x^3+1)[/tex]

The function f(g(x)) will be f(g(x)) = 4(4x³ + 1) where 'x' is the number of hours.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 8x² + 4

g(x) = √(2x³)

The function f(g(x)) is calculated as,

f(g(x)) = 8[√(2x³)]² + 4

f(g(x)) = 8[√(2x³)]² + 4

f(g(x)) = 16x³ + 4

f(g(x)) = 4(4x³ + 1)

The function f(g(x)) will be f(g(x)) = 4(4x³ + 1) where 'x' is the number of hours.

More about the function link is given below.

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Answer:

173.5

Step-by-step explanation:

The answer is 173.5

To solve this type of equation we first have to find the unit rate, in this case, the unit rate is dollars every hour, in order to find this we have to divide 86 by 4 as shown below

[tex]86/4=21.5[/tex]

Therefore the unit rate is 21.5$ every hour so in order to find how much money she was paid after 9 hours we have to multiply 21.5 by 9, which is shown below

[tex]9x21.5=173.5[/tex]

Thus, that is how much money Lin will be paid after 9 hours of work.

Hope this Helps!

Answer: 1/10 or 0.1

Step-by-step explanation:

    -(-7 - 4x) = -2(3x - 4)

      7 + 4x = -6x + 8

   * subtract 7 from both sides

            4x = -6x + 1

   * Add 6x to both sides

           10 x = 1

   * Divide both sides by 10

             x = 1/10  or 0.10

It's on the picture

It's on the picture

Answer: 20

Step-by-step explanation:

*This is a supplementary Angle (adds up to 180 degrees)

5x+12+68=180

5x+80=180

*subtract 80 on both sides

5x=100

*divide both sides by 5

x=20

Crab Weight

= 42 1/5 - 41/5

= 211/5 - 41/5

= 170/5

Combined weight

= 170/5 + 211/5

= 381/5

= 76 1/5

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Answer:

[tex]219456[/tex]

Step-by-step explanation:

It must end in [tex]0,2,4,6,8[/tex] (divisible by 2 rule) and the digits must sum to a multiple of 9(divisible by 9 rule).

The digit sum is [tex]2+A+9+4+5+B=20+A+B[/tex].

We want to make [tex]A[/tex] as low as possible because it's a higher digit than [tex]B[/tex].

If [tex]A[/tex] is as low as possible, we have that the sum is [tex]20+0+7=27[/tex]. Uh-oh. [tex]B[/tex] has to be even! So [tex]A=0[/tex] doesn't work.

If [tex]A=1[/tex], we have that the sum is [tex]20+1+6=27[/tex]. Yay!

So, the answer is [tex]\boxed{219456}[/tex]

Answer:

Step-by-step explanation:

y=-2x²+6

x=0,y=6

x=1,y=-2(1)²+6=-2+6=4

x=-1,y=-2(-1)²+6=-2+6=4

x=2,y=-2(2)²+6=-8+6=-2

x=-2,y=-2(-2)²+6=-8+6=-2

x=3,y=-2(3)²+6=-18+6=-12

x=-3,y=-2(-3)²+6=-18+6=-12

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plotting the points (0,6),(1,4),(-1,4),(2,-2),(-2,-2),(3,-12),(-3,-12),...

we get the following graphs.

Answer:

angle one is 90

angle two is 115

angle 3 is 65

Step-by-step explanation:

Answer: hehehe

Step-by-step explanation:

Your mom

Answer:

Subtract 15 from both sides

Step-by-step explanation:

Answer:

I don't understand your question! I would love to help, but I don't understand!

Step-by-step explanation:

It sounds like your teacher wants g = 2c as the answer. The constant of proportionality simply tells us what to multiply the input variable by, to get the output variable.

It's similar to saying y = 2x, but we use c in place of x and use g in place of y.

Answer:

309 meters

Step-by-step explanation:

The scale is 3mm : 2m so you can set up two fractions and solve for x.

[tex]\frac{3mm}{2m} =\frac{x}{206m}[/tex]

since every two meters is 3 mm in the drawing, divide 206 by 2 and get 103

now, multiply 103 by 3 to get 309

309 mm in the drawing

hope this helps :)

Answer:

74

Step-by-step explanation:

87-13=74

Answer:

Sydeny is 50 years old

Answer:

a

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

25.2 / 2.1

The divisor should be a whole number. Multiply the dividend and the divisor by 10.

= 252 / 21

= 12

Step-by-step explanation:

613 and 623 are very close values.

multiplying by 12 or a division by 2 changes the starting value drastically.

so, this cannot be right.

and dividing 613 by 2 also makes it even smaller. but to get 623 we need to make it bigger.

so, therefore, even without actually calculating the numbers, the statement is proven false.

Answer:

1/10 I think not really sure lol

Step-by-step explanation:

1/10 now brainliest and enjoy.

Answer: 1/10squarerootY i think

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Work Shown:

Distance = rate*time

rate = distance/time

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

For Sarah, she runs 324 m in 61.3 seconds. Her speed is:

rate = distance/time

rate = (324 m)/(61.3 sec)

rate = (324/61.3) meters per second

rate = 5.28548 meters per second approximately

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

Repeat the same set of steps for Emily

rate = distance/time

rate = (324 m)/(60.4 sec)

rate = (324/60.4) meters per second

rate = 5.36423 meters per second approximately

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

The last thing to do is subtract the results we got

5.36423 - 5.28548 = 0.07875

This then rounds to 0.08 meters per second when rounding to two decimal places.

Answer:34359738368

Step-by-step explanation: 2 to the 35th power is basically 2 x 2 35 times. You can solve it on a caculator by typing in 2 and pushing the button that allows you to enter 35 (which is the exponent, or the little number) The button will usually have an x with a little y at the top right corner

v₁ = at + v₀

Step-by-step explanation:

[tex]\begin{aligned}\tt a&=\tt\frac{v_1 - v_0}{t}\\\tt a\cdot t&=\tt v_1 - v_0\\\tt a \cdot t +v_0&=\tt v_1\end{aligned}[/tex]

hijab day of doing a great day of doing a little bit more about the way for me the ch-2 ex is a very good time to be able to get the day of doing a great day when mother speaks it happens to be a good time to be a good time to be a good day please anyone who is in the day and in the way for me the way

A line can be drawn by joining the plot of the two given points

Reason:

Given points on the line are (-5, 3) and (-1, -1)

The slope, m, of the line is given as follows

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, we have;

[tex]Slope, \, m =\dfrac{-1 - 3}{-1 - (-5)} = \dfrac{-4}{4} = -1[/tex]

The equation of the line in point and slope form is therefore;

y - 3 = -1·(x - (-5) = -x - 5

In slope and intercept form, we have;

y = -x - 5 + 3 = -x - 2

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