E O
What is the common ratio between successive terms in the sequence?
2, 4, 8, -16, 32, 64, ...
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06
O 6
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9 rooms / 3 rooms = 3

It will take him 3 times as long.

13 hours x 3 = 39 hours

answer: 39 hours

Answer:

39 hours

Step-by-step explanation:

13h = 3 rooms

3 x 3 = 9

13 x 3 = 3 x 3

39h = 9 rooms

Answer:

1)x = 24

2)x= 25

The total electricity cost for the fans during one year is $11.52. Then the correct option is C.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The climate in which jonah lives is mild all year long except during the hotter summer months.

For 3 months out of the year, jonah needs to use 4 portable fans to cool his home.

If the electricity to use one fan costs 1 cent per hour and each fan is on for about 96 hours per month.

Then we have the equation for the electric bill for x month for a fan,

Electric bill = 96 × 1 × x

Electric bill = 96x

For four fans we have electric bill will be

Electric bill = 4 × 96x

Electric bill = 384x

For three months that is x = 3, we have

Electric bill = 384 × 3

Electric bill = 1152

The electric bill is 1152 cents which are equal to $11.52.

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

the prashastis is the most assential and the core is a chinese of a bone where the body is the most assential of a bone where it can take longer to get a good idea of the following ratio is a good idea for the needs 8n and a half his salary manish he has a good reputation in his work and is willing and able for his wealth of knowledge to help to help to improve his wealth of the following ratio is a good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class of the following ratio is a very good idea for a few years of use in a class

Answer:

a) 4.75g + 5.15c

b) $83.40

Step-by-step explanation:

Gasoline = $4.75 per gallon

Oil = $5.15 per can

Let g = number of gallons

Let c = number of cans

a) Total spend = 4.75g + 5.15c

b) Given:

⇒ total spend = 4.75(7.8) + 5.15(9)

                       = 37.05 + 46.35

                        = $83.40

Using the z-distribution, as we have the standard deviation for the population, it is found that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.

At the null hypothesis, we test if the score for group-participation adolescents is the same as the general population, that is:

[tex]H_0: \mu = 50[/tex]

At the alternative hypothesis, we test if the score is different, that is:

[tex]H_1: \mu \neq 50[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, we have that:

[tex]\overline{x} = 53.8, \mu = 50, \sigma = 15, n = 100[/tex].

Hence:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{53.8 - 50}{\frac{15}{\sqrt{100}}}[/tex]

[tex]z = 2.53[/tex]

Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, the critical value is [tex]|z^{\ast}| = 1.96[/tex]

Since the absolute value of the test statistic is greater than the critical value for the two-tailed test, it is found that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.

More can be learned about the z-distribution at https://brainly.com/question/26454209

Answer:

x = 10

Step-by-step explanation:

First distribute the 2 into the parentheses

2x+20 = 4x

20 = 2x

x = 10

Answer:

In order:

[tex]\frac{16}{k^2}[/tex]

[tex]180c^{17}d^7[/tex]

[tex]-\frac{27y^4}{x^2}[/tex]

Step-by-step explanation:

[tex]48k^5/3k^7\\\\\frac{48k^5}{3k^7} \\\\\frac{16}{k^{7-5}} \\\\\frac{16}{k^2}[/tex]

[tex]12c^7d^4*15c^{10}d^3\\\\12*15c^{7+10}d^{4+3}\\\\180c^{17}d^7[/tex]

[tex](-xy)^4 *(-3x^{-2})^3\\\\x^4y^4*(-3x^{-2})^3\\\\x^4y^4*-27x^{-6}\\\\-27x^{-6+4}y^4\\\\-27x^{-2}y^4\\\\-27*\frac{1}{x^2} *y^4\\\\-\frac{27y^4}{x^2}[/tex]

Hope this helps!

Apply Pythagorean theorem in ∆TMU

[tex]\\ \rm\Rrightarrow UT^2=6^2-3^2=36-9=27[/tex]

[tex]\\ \rm\Rrightarrow UT=3\sqrt{3}[/tex]

Now

[tex]\\ \rm\Rrightarrow y^2=(3\sqrt)^2+9^2[/tex]

[tex]\\ \rm\Rrightarrow y^2=27+81[/tex]

[tex]\\ \rm\Rrightarrow y^2=108[/tex]

[tex]\\ \rm\Rrightarrow y=6\sqrt{3}[/tex]

Answer:

6√3 units

Step-by-step explanation:

Similar right triangle theorem states that as ΔNUT ≅ ΔTUM then

NT : NU = TM : TU

First find the length of TU using Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ UM² + TU² = TM²

⇒ 3² + TU² = 6²

⇒ TU² = 27

⇒ TU = √(27)

⇒ TU = 3√3

Given:

NT : NU = TM : TU

⇒ y : 9 = 6 : 3√3

[tex]\implies \dfrac{y}{9}=\dfrac{6}{3\sqrt{3} }[/tex]

[tex]\implies (3\sqrt{3})y=6 \times 9[/tex]

[tex]\implies y=\dfrac{54}{3\sqrt{3}}[/tex]

[tex]\implies y=6\sqrt{3}[/tex]

Answer:

14. x = 36°

15. x = 9°

16. x = 45°

Step-by-step explanation:

14. The sum of the interior angles in a triangle is 180°. This means that 2x + 2x + x = 180°. This can be simplified to 5x = 180°. If we divide both sides by 5, we find that x = 36°

15. Using the same approach, the sum of the interior angles in a triangle is 180°. This means that 7x + 3x + 90° (the right angle) = 180°. Next, we can subtract 90° form both sides to get 7x + 3x = 90°. If we simplify the left side, we get 10x = 90. Finally, we can divide both sides by 10 to find that x = 9°

16. Using the same approach, the sum of the interior angles in a triangle is 180°. This means that 2x + x + x = 180°. This simplified is 4x = 180. If we divide both sides by 4, we get x = 45°

Hope this helps!

Answer:

see explanation

Step-by-step explanation:

You can find the sum of all interior angles of any convex shape with one simple equation: 180(n-2) , where n= number of sides of shape.

With a triangle, 180(3-2) simplified to, 180(1), with the answer being 180.

All the angles of a triangle add up to 180°

Lets look at first problem.

2x + 2x + x

set it  equal to 180

2x + 2x + x = 180 (Combine like terms)

5x = 180               (Divide by 5, both sides)

x = 36

Next one,

7x + 3x + 90 = 180

10x + 90 = 180

10x = 90

x = 9

Last one,

2x + x + x = 180

4x = 180

x = 45

Step-by-step explanation:

The reciprocal of 3=

[tex] \frac{1}{3} [/tex]

The reciprocal of ⅔ =

[tex] \frac{1}{ \frac{2}{3} } \\ 1 \div \frac{2}{3} \\ 1 \times \frac{3}{2} \\ \frac{3}{2} [/tex]

[tex]\mathbb{FINAL\:ANSWER:}[/tex]

[tex]\huge\boxed{\sf{reciprocal\:of\:3=\frac{1}{3} ; \:reciprocal\:of\: \frac{2}{3} =}\frac{3}{2} }[/tex]

[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]

Hi! Hope you are having a nice day!

In order to find the reciprocal of a number, all we should do is flop the number over.

Sounds easy, right? Let's find the reciprocal of 3.

What is 3 flopped over? That's right, [tex]\displaystyle\frac{1}{3}[/tex].

We found the reciprocal of 3. :)

Now it's time to find the reciprocal of [tex]\displaystyle\frac{2}{3}[/tex].

Let's flop it over:

[tex]\displaystyle\frac{3}{2}[/tex]

Hope you could understand everything.

#CarryOnLearning

Answer:

.............................

Answer:

a

Step-by-step explanation:

if the two vertex angles are the same then the other two angles of both triangles have to be the identical since all three have to add to 180 then since the two base angles are the same the sides opposite them are congruent and the two triangles are similar by SAS(side angle side)

Answer:

Explanation:

C ∝ √y

C = k√y

If C = 12.8, y = 16

12.8 = k√16

12.8 = k(4)

k = 3.2

So the expression:

C = 3.2√y

solve for C when y = 400

C  = 3.2(√400)

C = 3.2(20)

C = 64

The expression for C in terms of y where C is directly proportional to the square root of y is C=3.2√y and the value of C at y=400 is 64.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

[tex]p = kq[/tex]

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

C is directly proportional to the square root of y. Thus, the relation can be represented with the proportionality sign as,

[tex]C\propto \sqrt{y}[/tex]

Let k is the proportionality constant. Thus, the equation can be rewritten as,

[tex]C=k \sqrt{y}[/tex]

Here, the value of  C is 12.8 and the value of y is 16. Put these values in the above equation as,

[tex]12.8=k \times\sqrt{16}\\12.8=k \times4\\k=\dfrac{12.8}{4}\\k=3.2[/tex]

Thus, the value of constant is 3.2.

The value of constant is 3.2. Thus, the expression for C in terms of y is given as,

[tex]C=3.2\sqrt{y}[/tex]

Put the value of y =400 in the above expression.

[tex]C=3.2\sqrt{400}\\C=3.2\times20\\C=64[/tex]

Thus, the expression for C in terms of y where C is directly proportional to the square root of y is C=3.2√y and the value of C at y=400 is 64.

Learn more about directly proportional relationship here:

https://brainly.com/question/13082482

Answer:

errr not sure if it's 36%

hope it helps

Answer: Below

Step-by-step explanation:

An interesting part of this problem is that it derives off of Exponential growth formulas.

So by plugging in the values in the Exponential growth:

[tex]y = x(1+0.02)^{4}[/tex]
[tex]y = x(1.02)^{4}[/tex]

What's important is we know the increasing factor, so:

[tex](1.02)^{4} = 1.0824[/tex]

So now we know 8.24% of something is equal to 100. We can use this to find x, which is our initial value.

x * 0.0824 = 100
x = 100/0.0824

x = 1213.59

The answer is approximately 1213.59

Answer:

B. students 12, 60, and 74

Explanation:

All three numbers are in the random sample set given.

Answer:

Sry Im late but I hope I can help every one else

Step-by-step explanation:

THE ANSWER IS B

Use the elimination method :

-3x - y = -1
3x + y = -6

-> 3x + y + (-3x - y) = =6 + (-1) = -7

(3x-3x) + (y-y) = -7

0 = 7 (false)

So, the answer is no solutions.

Answer:

35 I think I hope it is correct

Answer:

what?

Step-by-step explanation:

Answer: umm umm I would tell him godbless him and…

Step-by-step explanation:

Answer:

-17

Step-by-step explanation:

We can use substitution for this system of equation.

Since x=-2y+9, we can replace x with -2y+9 in the top equation.

6y+(-2y+9)=-59

Simplify and solve.

6y-2y+9=-59

4y+9=-59

4y=-68

y=-17

From the system of linear equations was verified that the value for z is equal to 87.45.

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

These numbers are represented by a ratio between two integers numbers ([tex]\frac{a}{b}[/tex]), where b[tex]\neq[/tex]0.  Besides, this ratio can be simplified in decimal form.

For solving this equation, firstly, rewrite the information given:

                                          [tex]y=\frac{5}{12} x \;(1)\\ \\ z=50.25+x \;(2)\\ \\ y=15.5 \;(3)[/tex]

As the question gives the values for y, you can find x.

                                        [tex]y=\frac{5}{12} x\\ \\ 15.5=\frac{5}{12} x\\ \\ 5x=12*15.5 \\ \\ x=\frac{186}{5}=37.2[/tex]

Applying x=37.2 in equation (3), you can find z.

                              [tex]z=50.25+x \\ \\ z=50.25+37.2\\ \\ z=87.45[/tex]

Learn more about the system of equations here:

https://brainly.com/question/384631

Answer:

5n

d=10-5

=5

a=5

n=a+ (n-1)d

=5+(n-1)5

=5+5n-5

=5n

Answer:

(6,1)

Step-by-step explanation:

Moving down is associated with y coordinate.

Answer:

D

the scatter diagram shows a slightly decreasing trend