1) Use the distributive property to write an expression that is equivalent to 8(a + 4).
8(a + 4) = _a + _

Answer:

x=sqrt(7)

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 =c^2  where a and b are the legs and c is the hypotenuse

x^2 + ( sqrt(7))^2 = (sqrt(14))^2

x^2+7 = 14

x^2 = 14-7

x^2 = 7

Take the square root of each side

sqrt(x^2) = sqrt(7)

x=sqrt(7)

Answer:

4

Step-by-step explanation:

-4+3=-1

-1+5=4

Answer:

A

Step-by-step explanation:

equation of the line which has the given slope "m" and whivh passes through the given point...

a.(2,10) and m= -4

b.(4,-4) and m=3/2

c.(0,0) and m=3/5

the a,b, and c have the same formula

Answer:

-144 feet from the surface in 4 minutes

Step-by-step explanation:

-36 x 4

With the same rate, the position of the undersea after 4 minutes will be -144.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

Rate of descends = 36 feet per minute

After 4 minutes,

36 x 4 = 144

Since it is descending so it can be said to be -144.

Hence "After 4 minutes at the same rate, the position of the undersea will be -144".

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Answer:

[tex]\frac{465}{100}[/tex] or [tex]\frac{93}{20}[/tex]

Step-by-step explanation:

You can always just multiply the by 100/100 to get any number into a fraction form. I am not sure if this is what you were asking, but here you go. Then you can simplify to get 93/20.

Answer:

Step-by-step explanation:

a) Let t represent the clock time (hours after midnight). The distance from home will be ...

  distance = speed × time

  jonah = 40(t -7)

  jesse = 50(t -10)

  jonah = jesse . . . . . . . same distance from home at the same time

(Note: you could let y = distance traveled and use y in both equations. That would give 2 equations in 2 unknowns, instead of 3 equations in 3 unknowns.)

__

b) substituting the first two equations into the second, we get ...

  40(t -7) = 50(t -10)

  4t -28 = 5t -50 . . . . . . . divide by 10, eliminate parentheses

  22 = t

Jonah and Jesse will be at the same place at 10 p.m.

__

c) We can find the distance by substituting into either equation.

  jonah = 40(22 -7) = 40(15) = 600

They will be 600 miles from home at that time.

Answer:

720 ft^3

Step-by-step explanation:

6 * 10 *12

v = l * w * h

6 * 10 * 12 =  720

Volume is a three-dimensional scalar quantity. The volume of the self-storage centre room is 720 ft³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of a room or box that is the shape of a rectangular prism is calculated by multiplying the length, width, and height of the prism.

Volume = Length × Width × Height

Given that the self-storage centre room's are 6 feet wide, 10 feet deep, and 12 feet high. Therefore, the dimension of the room can be written as,

Length = 10 ft

Width = 6 ft

Height = 12 ft

Now, the volume of the room can be written as,

Volume of the room = 10ft × 6ft × 12ft

                                  = 720 ft³

Hence, the volume of the self-storage centre room is 720 ft³.

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the ansewer is the third one

Answer:

f(x)=-18x^2

Step-by-step explanation:

Given:

1+Integral(f(t)/t^6, t=a..x)=6x^-3

Let's get rid of integral by differentiating both sides.

Using fundamental of calculus and power rule(integration):

0+f(x)/x^6=-18x^-4

Additive Identity property applied:

f(x)/x^6=-18x^-4

Multiply both sides by x^6:

f(x)=-18x^-4×x^6

Power rule (exponents) applied"

f(x)=-18x^2

Check:

1+Integral(-18t^2/t^6, t=a..x)=6x^-3

1+Integral(-18t^-4, t=a..x)=6x^-3

1+(-18t^-3/-3, t=a..x)=6x^-3

1+(6t^-3, t=a..x)=6x^-3

That looks great since those powers are the same on both side after integration.

Plug in limits:

1+(6x^-3-6a^-3)=6x^-3

We need 1-6a^-3=0 so that the equation holds true for all x.

Subtract 1 on both sides:

-6a^-3=-1

Divide both sides by-6:

a^-3=1/6

Raise both sides to -1/3 power:

a=(1/6)^(-1/3)

Negative exponent just refers to reciprocal of our base:

a=6^(1/3)

[tex]\begin{array}{ccll} \stackrel{guys}{good}&\stackrel{guys}{bad}\\ \cline{1-2} 15&4\\ 75&x \end{array}\implies \cfrac{15}{75}=\cfrac{4}{x}\implies \cfrac{1}{5}=\cfrac{4}{x}\implies x = 20[/tex]

Number of bad guys = 12

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given,

Ratio of good to bad guys = 15:4 = 15/4

No. of good guys = 75

Let the no. of guys be x

⇒ 15:4 = 75:x

⇒ 15/4 = 75/x

Cross multiplying

15 x = 75×4

x = (75/15)×4

No. of bad guys = (75/15)×4

                           = 3 × 4

No. of bad guys = 12

Hence, there are 12 bad guys.

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Answer:

tried my best!!!!!

Step-by-step explanation:

a) they eat both meat and palnts

b) it nurses its young,and feeds us beings

c) yes it is

Answer:

x=2?

Step-by-step explanation:

Answer:

k(x)=-3/4x+5

Step-by-step explanation:

Answer: 331,250

Step-by-step explanation: hope it helps

Answer:

She will go to 729 games in 162 days.

Step-by-step explanation:

27÷6 = 4.5

4.5 · 162 = 729

Answer:

729 games in 162 days

Step-by-step explanation:

If she goes to 6 games in 27 days, then you divide 27 by 6, to get the unit rate.

27/6=4.5

Now that you have the unit rate, you multiply 162 by the unite rate, or 4.5, in this case.

162x4.5=729

-hope it helps

Answer:

C,

Step-by-step explanation:

A and D is incorrect because they are negative correlation

and B is incorrect because a correction of 0.95 means all values are close to each other, but B values are scattered much more that C values

so answer C

Answer:

12.1

Step-by-step explanation:

Answer:

12.1 Seconds

Step-by-step explanation:

96.8/8=12.1

Answer:

aas

Step-by-step explanation:

angle angle and the middle is side

Answer:

2

Step-by-step explanation:

Because if you add 1  to 8 you get 9 then subtract 9 by 7 then and your answer is

Answer:

-12.5

Step-by-step explanation:

-7x+8+11x=-42

-7x+11x=-42-8

4x=-50

x=-12.5

Hope this helped! :)

Hey There!

Question:-

[tex] \sf \: - 7x+8+11x= - 42[/tex]

We need to find the value of x.

Solution:-

[tex]\sf \longmapsto - 7x + 8 + 11x = - 42[/tex]

Combine Like terms:-

[tex]\sf \longmapsto \: ( - 7x+11x)+(8)= - 42[/tex]

On Simplification :-

[tex]\sf \longmapsto \: 4x +8 = - 42[/tex]

Subtract 8 from both sides:-

[tex]\sf \longmapsto \: 4x+8 - 8= - 42 - 8[/tex]

On Simplification:-

[tex]\sf \longmapsto \: 4x + 0 = - 42 - 8[/tex]

Note that (-) and (-) equals to (+).

[tex]\sf \longmapsto \: 4x = - 50[/tex]

Divide both sides by 4:-

[tex]\sf \longmapsto \: \dfrac{4x}{4} = \dfrac{ - 50}{4} [/tex]

On Simplification:-

[tex]\sf \longmapsto \: \dfrac{ \cancel2x}{ \cancel2} = \dfrac{ \cancel{- 50}}{ \cancel4} [/tex]

[tex]\sf \longmapsto \: x = \dfrac{ - 25}{2} [/tex]

Or in Decimal :-

[tex]\sf \longmapsto \: x = -12.5[/tex]

______________________________________

Henceforth, the value of x is :-

[tex]\boxed{\huge \red{x = - \dfrac{25}{2}}} [/tex]

In Decimal:-

[tex] \boxed{\huge\red{ x = -12.5}}[/tex]

________________________________

Please let me know if you have any questions.

~MisterBrian

Answer:

Number 21 is < number 23 is > number 22 is < and number 24 is >

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

square: A=s^2

triangle: A=(1/2)bh

rectangle: A=lw

parallelogram: A=bh

Answer:

B. (0,-1)

Step-by-step explanation:

see.. i'm not rude.... :/

Answer:

3) x=18 , -8

Step-by-step explanation:

hi

hope it helps you

Answer:

(x+3) and (x-2) are the correct factors

Step-by-step explanation:

If we expand (x-3)(x-2), we see that it equates to x²-5x+6, which is not what we want. The correct factors would be (x+3)(x-2) since the middle term's coefficient becomes 1 as 3-2=1 whereas -3-2=-5.

Answer:

0,0

Step-by-step explanation:

because it is in the centre of the graph

Answer:

6:4:3

Step-by-step explanation:

Use 7 to simplify