Find the value of x that makes:

Find The Value Of X That Makes:

Answers

Answer 1

Answer:

correct value of x = 5

Step-by-step explanation:

[tex] \frac{ {( - 2)}^{4x + 2} }{ {( - 2)}^{2x} } = {( - 2)}^{12} \\ = \frac{ {( - 2)}^{4 \times 5 + 2} }{ { ( - 2)}^{2 \times 5 } } \\ = \frac{ {( - 2)}^{22} }{ { ( - 2)}^{10} } \\ = \frac{4194304}{1024} \\ = 4096 = 4096(i.e \: {( - 12)}^{12} = 4096) \\ [/tex]


Related Questions

In which class is the mean a better representation of the data, Class A or Class B? Explain your answer.

Answers

Answer:

class b

Step-by-step explanation:

because the mean and median are approximately the same

A bag contains 4 blue marbles, 6 red marbles, 3 yellow marbles, and 5 black marbles. What is the probability that you choose two marbles, without replacement, that are both black? Answer as a decimal to the nearest thousandths place (3 after the decimal).

Answers

Answer:

.065

Step-by-step explanation:

The total number of marbles is

4 blue marbles+ 6 red marbles+ 3 yellow marbles+5 black marbles=18

P(1st black) = Black/total = 5/18

You keep the marble

The total number of marbles is

4 blue marbles+ 6 red marbles+ 3 yellow marbles+4 black marbles=17

P(2st black) = Black/total = 4/17

Multiply the probabilities together

P(black,black)= 5/18 * 4/17 =10/153=.065359477 =.065

What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?

Answers

Answer:

[tex]y=\frac{1}{2}x-5[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts

1) Determine the slope (m)

[tex]x-2y=6[/tex]

Rearrange this equation into slope-intercept form (this will help us find the slope)

Subtract x from both sides

[tex]x-2y-x=6-x\\-2y=-x+6[/tex]

Divide both sides by -2

[tex]y=\frac{1}{2} x-3[/tex]

Now, we can identify clearly that the slope of the given line is [tex]\frac{1}{2}[/tex] since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of [tex]\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{1}{2}x+b[/tex]

Plug in the given point (-6,-8)

[tex]-8=\frac{1}{2}(-6)+b\\-8=-3+b[/tex]

Add 3 to both sides to isolate b

[tex]-8+3=-3+b+3\\-5=b[/tex]

Therefore, the y-intercept is -5. Plug this back into [tex]y=\frac{1}{2}x+b[/tex]:

[tex]y=\frac{1}{2}x-5[/tex]

I hope this helps!

The radius of a circle is 11 meters. What is the circle's area?

Answers

Answer:

379.94 m²

Step-by-step explanation:

3.14×11²= 379.94 m²

Step-by-step explanation:

The area of a circle is

π[tex]r^{2}[/tex]

The r is 11 so we get 11^2 * π

121π is our exact area,

380.13 m^2 is our approximate area

I need help ASAP PLEASE
What is the sum of the first 47 terms of the sequence?
-215,-201,-187,-173,...

Answers

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

[tex]S_{47}[/tex] = [tex]\frac{47}{2}[/tex] [ (2 × - 215) + (46 × 14) ]

     = 23.5 (- 430 + 644)

    = 23.5 × 214

    = 5029

A pile of 15 boxes is 3 metres high. What is the depth of each box?

5 m
0.002 km
200 cm
200 mm

Answers

ANSWER:

200 millimetre

Answer:  D) 200 mm

====================================================

Work Shown:

1 meter = 100 cm

3 meters = 300 cm (multiply both sides by 3)

15 boxes are 300 cm tall combined, so 300/15 = 20 cm is the height of each box.

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

Unfortunately 20 cm isn't listed as an answer choice, but we can convert to km and see what happens

20 cm * (1 m/100 cm)*(1 km/1000 m) = 20/(100*1000) = 0.0002 km

It's close, but off by a digit. Choice B has two zeros while 0.0002 has three zeros between the decimal point and the '2'.

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

Let's convert to mm and see what happens

20 cm * (10 mm/1 cm) = 200 mm

Through trial and error, we arrived at the final answer.

What is the slope for y = - 6x + 12 on a graph

Answers

Answer:

For question A)  y = -6 , b = 12

For question B) x = 2

Step-by-step explanation:

What is the mesure of angle AXB?

Answers

The answer is 180 degrees
180 degrees your welcome !

Solve 6 - 2x = 3

How do I do this?

Answers

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

6 - 2x = 3

(You have to subtract 6 on both sides so it can cancel out)

6 - 6 - 2x = 3 - 6

-2x = -3

(Now, you divide -2 on both sides to isolate the x)

-2/(-2)x = -3/(-2)

x = 3/2

If you have 5 questions and get an 80% how many questions did you get wrong?

Answers

Answer:

4

Step-by-step explanation:

you got 1 question wrong

Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
At this rate, what can Dan expect the approximate value of the computer to be after 12 years?
A $73
B. $90
C. $29
D. $85

Answers

Answer:

$29, that is the answer for this question

LABEL THE TRIANGLE!! PLEASE HELP!!

Answers

Answer:

Determination of HYP,OPP,ADJ with respect to x.

Opposite side of right angle:Hypotenuse: AC

Opposite side of given angle: Opp:BC

remaining side of a triangle: Adjacent:AB.

Two companies modeled their profits for one yeor Which stotement describes the relationship between the profits, predicted by the models of the two companies?

Answers

The question is incomplete. The complete question is :

Two companies modeled their profits for one year.

Company A used the function P(t)=1.8(1.4)^t to represent its monthly profit, P(t), in hundreds of dollars, after t months, where 0 < t ≤ 12. Company B used the data in the table to write a linear model to represent its monthly profits.

Which statement describes the relationship between the profits, predicted be the models, of the two companies?

Solution :

For one year, the two companies A and B modeled their profits.

It is given that :

Company A uses function [tex]$P(t) = (1.8)(1.4)^t$[/tex] in order to represent the monthly profit of the company in hundreds of dollars after a time [tex]t[/tex].

But the company B uses the data in the table in order to write the linear model to represent their monthly income.

We know the linear function is given by :

[tex]$P(t)=mt+c$[/tex]

Here, m = slope of line

          c = y-intercept

According to the data from the table , we see that the two points [tex](3.5)[/tex] and [tex](4.10)[/tex] lies on the line so that the slope of the line is represented by :

[tex]$\frac{y-y'}{x-x'}=\frac{10-5}{4-3}=5$[/tex]

The point [tex](3.5)[/tex] passes through the given line.

∴ [tex]$5=5(3)+c$[/tex]

[tex]$5=15+c$[/tex]

[tex]$c=5-15$[/tex]

[tex]$c=-10$[/tex]

Therefore, the function will be [tex]$P(t) = 5t-10$[/tex]

So, at [tex]t=4[/tex],

the profit of the company A is [tex]$P(4)=(1.8)(1.4)^4$[/tex]

                                                          = 6.91

the profit of the company A is [tex]$P(4)=5(4)-10$[/tex]

                                                           = 20 - 10

                                                            = 10

Therefore,  [tex]t=4[/tex], the profit of the company B is more than the profit of company A.

Now at [tex]t=12[/tex],

Profit of company A is [tex]$P(12) =(1.8)(1.4)^{12}$[/tex]

                                               = 102.05

Profit of company B is [tex]P(12)=5(12)-10[/tex]

                                               [tex]$=66-10$[/tex]

                                               = 56

Therefore, the profit of company A is more that that of company B at the end of the year one.

Thus, company B had a greater profit for the fourth month and ended the year with the greater monthly profits than company A.

Option (B) is the correct answer.

I need help solving this problem. 15-1(12÷4+1)​

Answers

the answer would be 11

Answer:

11

Step-by-step explanation:

1. First do the brackets because BEDMAS

So, (12÷4+1) = 4

2. 15 - 1 x 4

3. 15 - 4

4. 11

Hope this helps! :)

Use the symbolab website/app it's really helpful

Find the measure of each angle indicated. It’s two questions.
11)
A) 41
B) 45
C) 49
D) 42

12)
A) 68
B) 85
C) 70
D) 71

Answers

The first one is 49
The second one is 68

PLEASE HELP!!!

Two quantities are related, as shown in the table:
ху
2 10
4 9
68
8 7
Which equation best represents the relationship?
Oy = -x +11
y =
y = 2x + 10
Oy=2x + 11

Answers

Answer:

B. y= -½x + 11

Step-by-step explanation:

_______________

What is the arithmetic mean of the following
numbers?
4,9,6, 3, 4,2

Answers

Step-by-step explanation:

the arithmetic mean are 14

the arithmetic value is 14

A laptop is in the shape of a rectangular prism. The laptop has a length of 14
inches, a width of 10 inches, and a height of 1.5 inches.
What is the volume of the laptop?

Answers

Answer:

V=210 square inches

Step-by-step explanation:

Volume formula for a rectangular prism is V=lwh

So Volume=Length x Width x Height

V= 14 x 10 x 1.5

V=210 square inches

to make lemonade you used 1 quart of water 1 pint of lemon juice and 9 oz of your secret ingredient honey how much lemonade did you make in pints, cups, and ounces please help I need help ​ this is due today please

Answers

Answer:

3.56 pints

7.125 cups

57 oz

Step-by-step explanation:

water = 1 quart = 32 oz

lemon juice = 1 pint = 16 oz

honey = 9 oz

lemonade = 32 + 16 + 9 = 57 oz

Now 16 oz = 1 pint

So, 57 oz = 3.56 pint

As, 1 cup =  8 oz

So, 57 oz = 7.125 cups

What is the perimeter of the garage if d=3

I’m marking branliest

Answers

Answer:

perimeter= 46

Step-by-step explanation:

(3(3)-2) + (3(3)-2) + (5(3)+1) + (5(3)+1)

7 + 7 + 16 + 16

= 46

Which of the following set of angles is possible for a triangle

Answers

Answer:

2. Isosceles

4. 25, 65, 90

Step-by-step explanation:

Isosceles triangles have two equivalent sides

All the interior angles of triangles always add up to 180 degrees

PLEASE ANSWER THIS IS DUE TOMORROW!!!!!!!!!!!

Answers

Answer:

x-intercept: 15

y-intercept: -6

The slope is positive because 2/5 (the slope) is positive.

Step-by-step explanation:

The x-intercept is where the line crosses the x-axis.

The y-intercept is where the line crosses the y-axis.

Find the distance between the two points in simplest radical form.
(-9,3) and (-3,-5)

Answers

Answer:

10

Step-by-step explanation:

Distance Formula: sqrt_/(x1-x2)^2 + (y1-y2)^2

sqrt_/(-9-(-3))^2 + (3-(-5))^2

sqrt_/(-6)^2 + (8)^2

sqrt_/36+64

sqrt_/100

Simplify and you get the number 10.

The area of a rectangular piece of plastic is 10 square millimeters. The perimeter is 22 millimeters. What are the dimensions of the piece of plastic?

Answers

2789 dimensions because it’s simple u multiple them

find the area of the isosceles triangle

Answers

175m^2
I got the by multiplying 1/2, by the base (14), by the height (25).

1/2 * 14 * 25
First we are gonna find the height using trigonometry.

h^2 = 25^2 - 7^2
h = 24

Height is 24m

Now find area using 1/2 x b x h

14/2 x 24 = 168 m^2

Therefore area is 168m^2

Multiple Rules (Condense)
You can also use multiple rules at a time to condense
multiple log expressions to one.
2 log(x) +3 log(y) – 4 log(z)
Would condense to which of the following?
2 3
log
4
log
23
log
1,3,4
log(x21324)

Answers

Answer:

A

Step-by-step explanation:

Log poperties

Uh... hope someone answer it hehe -,-

Answers

1-opposite angles are congruent

2-consecutive angles are supplementary

3-diagonals of a parallelogram divide the parallelogram into two congruent triangles

4-diagonals of a parallelogram bisect each other

1.opposite angles are congruent
2.consecutive angles are supplementary

In a 3-digit number, the hundreds is one more than the ones digit and tens digit is twice the hundred digit. If the the sum of the digits is 11, find the number.

Answers

Answer:

362

Step-by-step explanation:

Let u = the units digit

2(u + 1) = the tens digit

u + 1 = the hundreds digit

u + 2(u + 1) + u + 1 = 11

u + 2u + 2 + u + 1 = 11

4u + 3 = 11

4u = 8

u = 2 = ones digit

u + 1 = 3 = hundreds digit

2(u + 1) = 2(3) = 6

The number is 362

May you help me with this❤️

Answers

Answer:

9.50x+130 > 700

Step-by-step explanation:

Answer:

9.50x+130> 700 I believe is the right answer.

Step-by-step explanation:

You need to have over $700 after adding $130 to your profit from mowing, which is $9.50 an hour.

x equals how may hours

9.50x + 130 > 700

EASY MATH PLEASE HELP! :)

I WILL GIVE BRAINLIEST!

QUESTION: Find the area!

Answers

Answer:

Total Area: 60

Step-by-step explanation:

The area of the rectangle is the easiest to find. Just multiply 12x4.

12x4=48

For the triangle. You can subtract 4 from the height of 10ft.

The height of the triangle is now 6ft.

To calculate the area of a triangle, multiply the height by the base (this is also known as the 'width') then divide by 2.

Btw the image was really small. Kind of hard to see the numbers.

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