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Step-by-step explanation:

4) p(x)=256

p(x)=2 ^ x+2

256=2 ^ x+2

2⁸= 2 ^ x+2

8=x+2

x=8-2=6

5)243=3 ^ x+3

3×3×3×3×3 = 3 ^ x+3

3⁵= 3^ x+3

5 = x+3

x=5-3=2

Answer:

[tex]p(x) = 256 \\ p(x) = {2}^{(x + 2)} \\ {2}^{(x + 2)} = 256 \\ {2}^{(x + 2)} = {2}^{8} \\( x + 2) = 8 \\ x =( 8 - 2) \\ \boxed{x = 6}[/tex]

[tex]243 = {3}^{(x + 3)} \\ {3}^{(x + 3)} = {3}^{5} \\ (x + 3) = 5 \\ x = (5 - 3) \\ \boxed{ x = 2}[/tex]

Answer and Step-by-step explanation:

To solve, you first divide 7 by 9.

Then, you divide 119 by 7/9.

[tex]\frac{7}{9} = 0.777777777777\\\\\frac{119}{0.77777777777} = 153.\\\\[/tex]

To check your work, divide 119 by 153, and you will get 0.777777777777, which is the same as 7 divided by 9.

So, the answer is A. 153

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Answer:

A

Step-by-step explanation:

I divided 119 by 7 which is 17. Then multiplied that by 2 because theres a gap of 2 between 7 and 9 and got 34. lastly added 119 by 34 and got 153. (Sorry if I got it wrong)

Answer:

Step-by-step explanation:

Common ratio is:

The next term is:

Answer:

[tex]f=-8[/tex]

Step-by-step explanation:

[tex]8+4f=3f[/tex]

[tex]8+4f-4f=3f-4f[/tex] (Subtract [tex]4f[/tex] from both sides of the equation to isolate [tex]f[/tex])

[tex]8=-f[/tex] (Simplify)

[tex]-f=8[/tex] (Symmetric Property of Equality)

[tex]\frac{-f}{-1} =\frac{8}{-1}[/tex] (Divide both sides of the equation by [tex]-1[/tex] to get rid of [tex]f[/tex]'s coefficient; remember that [tex]-f=-1*f[/tex], so [tex]-f[/tex] has a coefficient of [tex]-1[/tex])

[tex]f=-8[/tex] (Simplify)

Hope this helps!

Answer:

Step-by-step explanation:

Here you go mate

Step 1

8+4f=3f  Equation/Question

Step 2

8+4f=3f  Simplify

8+4f=3f

Step 3

8+4f=3f  Simplify by subtracting

f+8=0

Step 4

f+8=0  Subtract 8 frm sides

answer

f=-8

Hope this helps

Answer:

D(34)

Step-by-step explanation:

i did the math

To convert from the base currency, we multiply by the exchange rate. Just like multiplying to apply a commodity price. Indeed, our base currency can be viewed as the commodity in the quote. Say we need to convert €8m into dollars, by applying the exchange rate EUR/USD 1.25.

Answer: 35%

Step-by-step explanation:

Given: total students in 6th grade = 160

Students said that math was their favorite subject = 56

The percentage of students who chose math as their favorite subject =

[tex]\dfrac{\text{Students like math}}{\text{Total students}}\times100[/tex]

[tex]=\dfrac{56}{160}\times100\\\\=35\%[/tex]

Hence, the percentage of students who chose math as their favorite subject = 35%.

Answer:

Non-linear

Step-by-step explanation:

Here, we want to determine the function type that would model the height of a football from the time it was kicked to the time it lands on the ground

The way to go about this is to notice the kind of shape or trajectory the kicked football will take.

The shape it will take is non-linear. The shape it will take would be a parabolic curve. These parabolic curve models a quadratic equation and not a linear function. Hence we can conclude that based on the kind of path in which the ball traces, we can conclude that the function that results from its trajectory would not be a linear kind of equation or representation.

Answer: 10.9, about 11 ft

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + (5)^2 = (12)^2

Answer:

The ladder is the hypotenuse and one side equals 5 feet.

From the Pythagorean Theorem we can calculate the other side:

other side^2 = 12^2 -5^2

other side^2 = 144 -25

other side^2 = 119

other side = 10.9087121146

Rounding, we get 11 feet.

Step-by-step explanation:

Answer:20474.7

Step-by-step explanation:

68249 divide by 10 then multiply by 3

Answer:

24ab

Step-by-step explanation:

The multiple of 8, 2, 4ab, 3a, and 6b would be all the variables multiplied together right?

Then you see that:

8 can be divided by both 2 and 4 (2 x 2 x 2)

2 is 2 x 1

4ab can be 2 x 2ab

3a is the same as 3 x a

and

6b can be 2 x 3b

Now if you find the lowest common multiples (LCM's) of each variable with another you'll get your answer.

LCM of 8, 2 and 4ab is 2 times 2 times 1 times 2ab which equals 8ab

LCM of 3a and 6b is 3a times 2 times b which equals 6ab

and the

LCM of 8ab and 6ab is 2 times 2ab times 4 times 3 which equals 24ab.

Your answer should be -18?

Answer:

Step-by-step explanation:

1.15

Answer:

-0.067

Step-by-step explanation:

this is a answer

Answer:

slope=1

Step-by-step explanation:

Rise/Run

Answer:

$50

Step-by-step explanation:

75x20%= 1500 then divided by 100 is 15. 75 - 15 is 50

Answer:

The rate of change or slope m  = -50

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given that there is $500 in Holly's bank account.

Thus, the y-intercept b = 500

It is stated that she takes out $50 from her account each month but doesn't put money back in.

It means the rate of change or slope is decreasing.

Thus, the rate of change or slope m  = -50

EXTRA BONUS!

We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

[tex]y = mx+b[/tex]

y = -50x + 500

Here:

The slope m = -50

The y-intercept = 500

Answer:

1.06

Step-by-step explanation:

To the nearest hundredth, the answer is 1.06.

Answer:

A

Step-by-step explanation:

You can use the formula change in y divided by change in x, so for this the change in y would be 2 and the change in x would be 4. This means the slope is 1/2.

In a line, the slope never changes so it's A.

Answer:

the answer is A

Step-by-step explanation:

on edgy

The triangles △ACB ~ △DCE are similar by AA similarity theorem.

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

Given Triangle ABC with Line DE drawn inside the triangle and parallel to side AB. The line DE forms a new triangle DCE.

Because AB∥DE and segment CB crosses both lines, we can consider segment CB a transversal of the parallel lines.

Angles CED and CBA are corresponding angles of transversal CB and are therefore congruent, so ∠CED ≅ ∠CBA.

We can state ∠C ≅ ∠C using the reflexive property.

Therefore,  △ACB ~ △DCE  by the AA similarity theorem.

For more references on similarity, click;

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Answer:

86

Step-by-step explanation:

36 + 4 = 40 x 2 =80  

36 x 2 = 82 = 4 - 86

Hope it helps!

The special number was supposed to be; 76

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

For age 'a', the special number was

 2a +4

Tammi's mother actually calculated it as;

 2(a +4) = 2a +8

Now a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.

The special number was supposed to be;

80 -4 = 76.

Learn more about equations here;

https://brainly.com/question/25180086

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Answer:

Step-by-step explanation:

11 is B and 12 is B. 11 is B because perimeter means to add all the outside values of the shape. 2.5+5+4+1 and then there are two missing side values which are 1.5 and 1, add them all together and the perimeter is 15. For the area, separate the small square with the big rectangle to have two full shapes. The area of the rectangle is 4x2.5=10. Area of the small square is 1x1=1. 10+1=11. Hope this helps, ask questions if you need to

Answer:

1/10

Step-by-step explanation:

There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.

There are five marbles altogether.

First is 2/5

The second blue is 1/4

The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10

Answer:

59 feet

Step-by-step explanation

42+17

Answer:

D.12^3 sgrt 15

Sana makatulong

The expression that is equivalent to the given expression is 12√15. Option D is correct.

Given that,
Which expression is equivalent to 21√15 - 9√15 is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
= 21√15-9√15
= (21 - 9 )√15
= 12√15

Thus, the expression that is equivalent to the given expression is 12√15. Option D is correct.

Learn more about arithmetic here:

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Answer:

∠y° = ∠69°

∠x = ∠69°

Step-by-step explanation:

1) The question relates to parallel line theorem

The given parameters are;

AB is parallel to CD

∠111° and ∠y° are consecutive interior angles

∠69° and ∠x° are alternate interior angles

When two parallel lines are crossed by a common transversal, the consecutive interior angles are supplementary (sum up to 180°), and the alternate interior angles are equal

Therefore, we have;

∠111° + ∠y° = 180°

∠y° = 180° - ∠111° = ∠69°

∠y° = ∠69°

2) For the alternate interior angles, ∠69° and ∠x°, we have;

Alternate angles are equal, therefore ∠x = ∠69°