The function h(x) is a translation of the exponential function g(x) = 2(3)* - 4. What's
h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9
units, and a horizontal shift to the right 7 units?

Answer: 33

Step-by-step explanation:

First we have to figure out what 3⁵ is. It basically means multiply 3 five times. So the equation would be 3 x 3 x 3 x 3 x 3. This equals to 243.

Next we have to figure out what  3⁶ is. It basically means multiply 3 six times. So the equation would be 3 x 3 x 3 x 3 x 3 x 3. This equals to 729.

Then we have to divide 243 by 729. The easiest way to do this is by putting it into a fraction. The fraction would be 243 over 729. When you simplify that fraction, it brings us to the answer, which is 33.

Hope this helped :)

The value of  [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  is 177147.

We have -   [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]

We have to find its quotient.

You can simplify the expression as follows -

[tex]\frac{a^{n} }{a^{m} }= a^{n-m}[/tex]

According to the question, we have -

[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  

Using the rule mentioned above, we can solve this as -

[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  = [tex]\frac{3^{5} }{3^{-6} }[/tex] = [tex]3^{5-(-6)} = 3^{11}[/tex]

Expanding [tex]3^{11}[/tex] = 177147

Hence, the value of  [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  is 177147.

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The type of function is Linear.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

x  5    10    15    20    25    30

y  6.5  13  19.5  26   32.5   39

As, we can see from the table that every time the the difference between two consecutive value is same.

Hence, the function is linear.

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Answer:

Which of the decimals in the problem should be represented as a negative rate?

2.2 mm/year

Which two factors should Ericka multiply to find the total variation in water level?

6.2 years and –2.2 mm/year

Step-by-step explanation:

2.2 is represented as a negative integer because the problem said the key word "fell."

You should multiply 6.2 and -2.2 because -2.2 is mm per year and it is going on for 6.2 years so you would multiply those together.

Answer:

2.2 mm/year        6.2 years and -2.2 mm/year

Answer:

8 units to the right of line m

Step-by-step explanation:

when reflecting over a line, u count how many units is the pre-image away from the line in order to creat your image.

Answer:

4 units to the left of line m

Step-by-step explanation:

that's how I'm seeing it

Answer:

106.67%

Step-by-step explanation:

Answer:

14.1

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

2a+6=12

Step 1: Subtract 6 from both sides.

2a+6=12

-6 -6

2a=6

Step 2: Divide both sides by 2.

2a/2=6/2

a=3

Answer:

a= 3

Step-by-step explanation:

2a+6=12

2a=12-6

2a=6

a=6/2

a=3 #

9514 1404 393

Answer:

  3

Step-by-step explanation:

The image of line XY is 9 units after dilation by a factor of 3, so the original length of XY is 9/3 = 3.

Answer:

short answer middle picture :)

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

the total outcomes is 3*4 = 12

the  probability to get two digit numbers 14 or less is :

11 12 13 14  

4/12 = 1/3

Answer:

Total number of tablets needs to discharge = 240 tables

Step-by-step explanation:

Given:

Number of days tablet need = 30 days

Number of times per days need = 4 times

Number of tablet per time = 2 tablet

Find:

Total number of tablets needs to discharge = ?

Computation:

⇒ Total number of tablets needs to discharge = Number of days tablet need × Number of times per days need × Number of tablet per time

⇒ Total number of tablets needs to discharge = 30 × 4 × 2

⇒ Total number of tablets needs to discharge = 240 tables

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]4x-5x+2=0[/tex]

Answer:

[tex]D = 1 - \frac{1}{4}[/tex]

[tex]D = \frac{3}{4}[/tex]

Step-by-step explanation:

Given:

1 bag of potting soil

[tex]Peat Moss = \frac{1}{4}[/tex]

Required

What part is dirt?

The whole bag of potting soil is represented as 1;

Let P represent Peat Moss and D represented Dirt; Such that

[tex]P + D = 1[/tex]

Subtract P from both sides

[tex]P - P + D = 1 - P[/tex]

[tex]D = 1 - P[/tex]

Substitute [tex]\frac{1}{4}[/tex] for P

[tex]D = 1 - \frac{1}{4}[/tex]

Take LCM

[tex]D = \frac{4-1}{4}[/tex]

[tex]D = \frac{3}{4}[/tex]

Hence, [tex]1 - \frac{1}{4}[/tex] or [tex]\frac{3}{4}[/tex] of the potting soil is Dirt

Answer:

h = 12

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

The legs are 32/2 = 16 and the height h

The hypotenuse is 20

16^2 + h^2 = 20^2

256 + h^2 = 400

h^2 = 400-256

h^2 = 144

Taking the square root of each side

h = sqrt(144)

h =12

Answer:

1

Step-by-step explanation:

-3a+4 =7

-4. _4

-3a=3

divide by -3 on both sides

a=-1

3+4=7

Answer:

a= [tex]-3\frac{2}{3}[/tex] or ≈ -3.66

Step-by-step explanation:

-(3a+4)=7

-3a-4=7

Add 4 to both sides

-3a=11

Multiply both sides by -1

3a= -11

Divide both sides by 3

a= [tex]-3\frac{2}{3}[/tex]

Answer:

32.67

Step-by-step explanation:

18% of 181.5 is 32.67, which is much easier to solve than 181.5% of 18. It works flipped over.

The solution of expression is,

⇒ 32.67

We have to given that;

To find the value of 181.5% of 18.

Since, To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Hence, We can simplify as;

⇒ 181.5% of 18

⇒ 181.5/100 × 18

⇒ 1.815 × 18

⇒ 32.67

Thus, The solution of expression is,

⇒ 32.67

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Answer:

X=42

Step-by-step explanation:

AB and BC make a right angle

So, 24°+x+24° =90°

48°+x=90°

X=90°-48°

X=42

______________________________

a. 42 degree.

b.i. q=135 degree( being vertically opposite angles)

j=135 degree( being corresponding angles)

b.ii. 225

a. 24+X+24=90[ sum of complementary angles]

or, 48+X=90

or,X= 90-48

X=42 degree

b.i. q=135 degree( being vertically opposite angles)

Vertically angles are always equal to each other.

j=135 degree( being corresponding angles)

Corresponding angles are always equal to each other.

b.ii. p+135=180[ sum of angle in straight line]

or,p= 180-135

p=45 degree.

q= 135 degree[ being vertically opposite angles]

r=p[being vertically opposite angles]

r=45 degree

Now,

p+q+r

= 45+135+45

=225 degree

Hope it helps

Good luck on your assignment

__________________________________

Answer:

2) 5 to 10

Step-by-step explanation:

The slowest average rate change will occur when, as time progresses, the height of the helicopter changes very little.

Analyzing the intervals:

In the interval from 0 to 5, the height of the helicopter, according to the graph, changes drastically.

In the interval from 5 to 10 the height hardly changes.

In the interval from 10 to 15 the height changes more than in the previous interval (downward).

And in the interval from 15 to 10 something similar the the previous interval happens, but upwards.

thus, the interval that has the smallest average rate of change is 5 to 10 since there is not much change in the height over this interval of time (compared to the other intervals).

Answer:

First Part is C

The second part is 0,2,4

Step-by-step explanation:

Edge said so

The graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal. It is used most often to compare two numbers on the number line by their size.

For the given situation,

The expression is [tex]-3x-3\leq 6[/tex].

The graph below shows the inequality of the expression.

The solution of the expression is

[tex]-3x-3\leq 6[/tex]

⇒ [tex]-3x\leq 6+3[/tex]

⇒ [tex]-3x\leq 9[/tex]

Divide both sides by -3. Then the inequality will also get changed.

⇒ [tex]\frac{-3}{-3}x\geq \frac{9}{-3}[/tex]

⇒ [tex]x\geq -3[/tex]

Hence we can conclude that the graph of the solution is option (C) [tex]x\geq -3[/tex] is the correct answer.

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Answer:

D

Step-by-step explanation:

Answer:

The distance that Peter rides is:

Step-by-step explanation:

To identify the miles that Peter rides, you must imagine the triangle with measures: 3.36 miles, 4.18 miles, and 5.61 miles. How you can suppose, Peter regularly rides exactly by each side of the triangle mentioned, then you must find the perimeter of the triangle to identify the miles that Peter rides, remember that the perimeter of an irregular triangle is:

If you replace the formula, you obtain:

Answer:

The answer for the surface area is 25.12

Step-by-step explanation:

By using the formula 1/3 x 3.14 x h x r^2

You would input the numbers and then multiply them all together to get the desired answer

Answer:

For the statement;

If M is the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is congruent to [tex]\overline{QM}[/tex]

The contrapositive statement is therefore;

If M is not the midpoint of [tex]\overline{PQ}[/tex], then [tex]\overline{PM}[/tex] is not congruent to [tex]\overline{QM}[/tex]

Step-by-step explanation:

Contraposition in logic describes the transitioning from an implication/conditional statement into its equivalent contrapositive

The contrapositive of the statement p → q is equal to ~p → ~q

Therefore, the contrapositive of a conditional or implication statement is equivalent, logically to the original statement

Answer:

If M is not the midpoint of , then  is not congruent to

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

15

The x- coordinate of E is the same as the vertex F

The y- coordinate of E is the same as the vertex G

E = (b, c )

The x- coordinate of D is the same as vertex G

The y- coordinate of D is the same as vertex F

D = (a, 0 )

16

The x - axis is an axis of symmetry in the rhombus , thus

D is a reflection of B so D = (0, b )

The y- axis is an axis of symmetry in the rhombus, thus

E is a reflection of C so E = (a, 0 )

Answer:

D

Step-by-step explanation:

D is the correct ratio. If his heart beats 12 times in 10 seconds, then it will beat 72 times in 60 seconds/1 minute if you use the proportion. D is the only correct ratio because it shows 72 beats:1 minute.

________________________________

Solution,

(8y-7)-(1-3y)

= 8y-7-1+3y

= 8y+3y-7-1

=11y-8

Hope it helps

Good luck on your assignment

_____________________________

Answer:

1. y=3

2. z= 27/4 or 6.75

Answer:

102.44 feet

Step-by-step explanation:

This kite and its height forms a right triangle. In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is 130 feet. Therefore:

[tex]\sin 52= \dfrac{x}{130}[/tex]

[tex]x=\sin 52 \times 130\approx 102.44[/tex] feet. Hope this helps!

Answer: +12f +49g

-2f(-6)-7g(-7)

No if your looking for the graph answer on Khan academy then it's 11