Point slope form.
Y-4=

Answer:

-12x + 8 + 5x =36

-7x = 36 - 8

-7x = 28

x = 28/-7

x = -4

Answer:

-12x+5x=28

-7x=28

x= -4

X is equal 5 in 4 to the power of 2x divided by 8 to the power x is equal to 32.

Raising a base number to an exponent is referred to as "power" in mathematics. It indicates that "base number" and "exponent" are the two fundamental components of powers. The exponent shows how many times the base number has been multiplied, whereas the base number is defined as a number that is multiplied by itself.

In a nutshell, power is a number that has exponents used to express it. It means that the same element has been multiplied repeatedly. In the context of powers, the following specific terminology may be used:

Whenever a number:

Squared = power is 2

cubed = Power is 3

to the power of n = used for powers more than 3

The data given gives as an equation as followed

⇒ [tex]4^{2x}[/tex] ÷ [tex]8^x[/tex] = 32

⇒ [tex](2^2)^{2x}[/tex] ÷ [tex](2^3)^{x}[/tex] = 32

⇒ [tex]2^{4x}[/tex] ÷ [tex]2^{3x}[/tex] = 32

⇒ [tex]2^{(4x - 3x )}[/tex] = 32             (If the base is same in a division, then the powers

⇒ [tex]2^x[/tex] = 32                    can simply be subtracted with the base as common)

⇒ 2 = [tex]\sqrt[x]{32}[/tex]

⇒ 2 = [tex]\sqrt[5]{32}[/tex]

Thus, x = 5

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Answer:

Future value of annuity (FV) = $13,782.12 (Approx)

Step-by-step explanation:

Given:

Periodic payment p = $500

Interest rate r = 13% = 13%/4 = 0.0325 (Quarterly)

Number of period n = 5 x 4 = 20 quarter

Find:

Future value of annuity (FV)

Computation:

[tex]Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\[/tex]

Future value of annuity (FV) = $13,782.12 (Approx)

Answer:

ok

Step-by-step explanation:

Answer:

1:2 and 12

Step-by-step explanation:

2: 4 is equivalent with anothher ratio if you did the exact same multiplication and division to both terms

you have

1 : 2 from 2/2 : 4/2 so in good

7 : 8 is no good

4: 2  is no good

6: 10 is no good

3 olive oil : 1 vinegar

x olive oil : 4 vineger ( we multiply both by 4)

3*4 olive oil : 1*4  vinegar

12 olive oil : 4 vinegar

Answer:

b. y = 1000x

Constant of proportionality = 1,000

Step-by-step explanation:

The equation that represents a proportional relationship between variable x and y usually takes the following form, y = kx.

Where,

k = constant of proportionality.

From the three given equations, the only equation that takes the form is b. y = 1000x.

The constant of proportionality (k) of the equation = 1,000.

Answer:

here lets make it easy for you

An expression is a problem WITHOUT an Equal sign

An equation is a problem WITH an Equal sign

Answer:

Equation: 2nd, 5th, and 6th

Expression: 1st, 3rd, and 4th

Step-by-step explanation:

Equations need to have the equal sign and expressions don't have one.

Answer:

75% markdown

Step-by-step explanation:

If I am not mistaken, you can input this into everyday values like a shirt.

For example: If a shirt costs $8 but is on special for $2 then it is 75% off. Since 2 goes into 8 four times, 2 can be considered 25%. So since percent almost always add up back to 100, you take 100- 25 and you get a 75% markdown.

Or so I think, don't quote me on this.

Answer:

9, 24, 6, 16

Step-by-step explanation:

6/2 = x/3

x = 3*3 = 9

42/7 = x/4

x = 6*4 = 24

48/12 = 2x/3

2x = 4*3  = 12

x = 6

20/15 = x/12

x = 4/3*12 = 16

Answer:

17

Step-by-step explanation:

Given the data:

12, 18, x, 5

Average of the numbers = 13

The value of x will. Be

Sum of 12, 18, x and 5 divided by the number of data values.

Mean(average) = Σ(X) / n

n = number of values

13 = (12 + 18 + x + 5) / 4

13 = (35 + x) / 4

13 * 4 = 35 + x

52 = 35 + x

x = 52 - 35

x = 17

Answer:

answer your own man

ysovsivsuv

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

You have to equate them so...

5v+2=8v-7

I hope this helps you!

Answer:

The answer is No solution

Step-by-step explanation:

Solve 3x+ -1/3y = 20 for x:

3x+ −1/3y+1/3y=20+1/3y(Add 1/3y to both sides)

3x=1/3y+20

[tex]3=\frac{1}{3}\frac{}{} y\frac{+20}{3}[/tex]   Divide both sides by 3

x[tex]=\frac{1}{9} y +\frac{20}{3}[/tex]

Substitute 1/9y+20/3  for x in−18x+2y=−30

−18x+2y=−30

-18[tex](\frac{1}{9}y +\frac{20}{3} +2y=-30[/tex])

−120=−30 (Simplify both sides of the equation)

−120+120=−30+120 (Add 120 to both sides)

0=90

Answer:

35cm

Step-by-step explanation:

The volume of the figure is sum of the two individual cuboids which is

164 cm³.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

The total volume of the given figure would be the sum of the two cuboids

which is,

= (5×5×8) + (8×8×1) cm³.

= 200 + 64 cm³.

= 264 cm³.

So, The volume of the figure is 264 cm³.

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Answer:

6x3+10x2−16x or A

Step-by-step explanation:

I used an algebra calculator because im too lazy to work it out.  

^algebra^

(3x2 + 8x)(2x − 2)

=3x²(2x-2)

=6x³ - 6x²

+8x(2x - 2)

=16x² - 16x

put it all together

=6x³ - 6x² + 16x² - 16x

group according to variables, then count

6x³ + (-6x² + 16x²) - 16x

=6x³ + (+10x²) - 16x

=6x³ + 10x² - 16x

Answer:

D.) The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.

Step-by-step explanation:

I don't even know, but yeah.

Answer:

D) the mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144

Step-by-step explanation:

Answer:

W=10 initially every volunteer had 10 total of 50 flyers she took 2 from each so 50-10 that's why they were left with 40

Hope this helps

w=8

Step-by-step explanation:

they made the question complicated. there are x flyers they divided among 5 volunteers. so 2×5 because they take 2 from the five people. so that's 10. after they took 10 flyers they had 40 left. so to begin with they had 50 flyers to begin with. and 50÷5=10 so w=10 if you don't get it I would be happy to explain further just leave a comment. also please mark me brainleist

Answer:

okKkAyYy

Step-by-step explanation:

Answer:

8 ÷ 0 (2+3)^7 x 1 - 9

Step-by-step explanation:

I think this is correct because the result would be zero as 9  ÷ 0 is 0 and 0 anything is zero. I could be wrong tho

Answer:

10!

Step-by-step explanation:

Exuse me if im wrong :')

Answer:

The plane landed after 9.4 minutes.

Step-by-step explanation:

Function Modeling

The initial altitude of a plane arriving at JFK International Airport is 30,000 ft.

It then began its descent at a rate of 3,200 feet per minute.

Let's call t the number of minutes since the descent started. If each minute the plane descends 3,200 feet, then after t minutes it descends 3,200t.

This must be subtracted from the initial altitude, thus the altitude H is written as:

H = 30,000 - 3,200t

When the plane landed, its altitude was H=0, thus:

0 = 30,000 - 3,200t

Adding 3,200t:

3,200t = 30,000

Dividing by 3,200:

t = 30,000/3,200

t = 9.375 minutes

Rounding to the nearest tenth:

The plane landed after 9.4 minutes.

Answer:

2 2/5

Step-by-step explanation:

Answer:

The answer in whole number form is  4 5/8

Step-by-step explanation:

Answer:

i want to say that your answer is going to be C. 0.18 signifies the cost per minute, and 14.55 signifies the monthly service charge

Step-by-step explanation:

Answer:

You can find the area of a sector of a circle if you know the angle between the two radii. A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around.

Step-by-step explanation:

That's the answer

The measure of each angle in the given circle is 120°.

A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius.

Th given circle is divided into 3 equal parts.

We know that, central angle of circle measures 360°.

Now, each angle measures =360/3

= 120°

Therefore, the measure of each angle in the given circle is 120°.

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Answer:

105 degrees

Step-by-step explanation:

A whole triangle equals 180

55 plus 20 equals 75

180-75= 105

Answer:105

Step-by-step explanation:

Answer:

they are alternate interior angles my guy.

We can conclude from the figure that angles 2 and 3 are same side interior

From the given diagram, you can see that the shape in the middle is a quadrilateral with four sides.

From the diagram, we can conclude that angles 2 and 3 are same side interior

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