Find the missing length. The triangles in each pair are similar.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(x) = 2x + 3[/tex]

And

[tex]g(x) = 2 \times {3}^{x} \\ [/tex]

_________________________________

To find the y-intercept of any equation just need to put 0 (( zero )) instead of the x in the equation...

_________________________________

In f ( x ) :

[tex]y - intercept = f(0)[/tex]

[tex]f(x) = 2x + 3[/tex]

[tex]f(0) = 2(0) + 3[/tex]

[tex]f(0) = 3[/tex]

Thus :

[tex]y - intercept = 3[/tex]

##############################

In g ( x ) :

[tex]y - intercept = g(0)[/tex]

[tex]g(x) = 2 \times {3}^{x} [/tex]

[tex]g(0) = 2 \times {3}^{0} [/tex]

[tex]g(0) = 2 \times 1[/tex]

[tex]g(0) = 2[/tex]

Thus :

[tex]y - intercept = 2[/tex]

_________________________________

The positive difference in the y-intercept value of f ( x ) and g ( x ) is :

[tex] |3 - 2| = |1| = 1[/tex]

So write this in the box : 1

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

And we're done....

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

yes

Step-by-step explanation:

if the denomentators are dividable, than it is a equivalent equation

Answer:

2.5 hours

Step-by-step explanation:

Given

The information in the attachment

To solve this question, first we calculate the slope

[tex](t_1,B_1) = (1,19,5\%)[/tex]

[tex](t_2,B_2) = (2,13\%)[/tex]

The slope is:

[tex]m = \frac{B_2 - B_1}{t_2 - t_1}[/tex]

[tex]m = \frac{13\% - 19.5\%}{2-1}[/tex]

[tex]m = \frac{-0.065}{1}[/tex]

[tex]m = -0.065}[/tex]

The equation is calculated as:

[tex]B - b_3 = m(t - t_3)[/tex]

Where

[tex]m = -0.065}[/tex]

[tex](t_3,B_3) = (3,6.5\%)[/tex]

This gives

[tex]B - 6.5\% = -0.065(t - 3)[/tex]

[tex]B - 6.5\% = -0.065t +0.195[/tex]

[tex]B -0.065 = -0.065t +0.195[/tex]

[tex]B = -0.065t +0.195 +0.065[/tex]

[tex]B = -0.065t +0.26[/tex]

To calculate the time at 9.75%.

We take B = 9.75%

So, we have:

[tex]9.75\% = -0.065t +0.26[/tex]

Solve for t

[tex]0.0975= -0.065t +0.26[/tex]

Collect Like Terms

[tex]0.065t= -0.0975 +0.26[/tex]

[tex]0.065t= 01625[/tex]

[tex]t = 0.1625/0.065[/tex]

[tex]t = 2.5[/tex]

Hence, it will take 2.5 hours.

Answer:

you accept the alternative hypothesis

Step-by-step explanation:

The null and alternative hypothesis can be computed as follows:

[tex]H_o: p = 0.64 \\ \\ H_1: p \le 0.64[/tex]

The sample proportion [tex]\hat p = \dfrac{x}{n}[/tex]

[tex]\hat p = \dfrac{52}{100}[/tex]

[tex]\hat p = 0.52[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{\hat p -p_o}{ \sqrt{ \dfrac{p_o \times (1-p_o)}{ n} }}}[/tex]

[tex]Z = \dfrac{0.52 -0.64}{ \sqrt{ \dfrac{0.64 \times (1-0.64)}{ 100} }}}[/tex]

Z = -2.5

The P-value = 2( Z< -2.5)

From the tables;

The P-value = 2 (0.0062)

The P-value = 0.0124

The significance level = 0.01

Since the P-value is > significance level; we fail to reject the null hypothesis.

Conclusion: we accept the alternative hypothesis

Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to conclude that the percentage is less than 64%.

At the null hypothesis, it is tested if the proportion is of 64%, that is:

[tex]H_0: p = 0.64[/tex]

At the alternative hypothesis, it is tested if the proportion is less than 64%, that is:

[tex]H_1: p < 0.64[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are: [tex]n = 100, \overline{p} = \frac{52}{100} = 0.52, p = 0.64[/tex]

Hence:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.52 - 0.64}{\sqrt{\frac{0.64(0.36)}{100}}}[/tex]

[tex]z = -2.5[/tex]

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, using the z-distribution with a significance level of 0.01, is of [tex]z^{\ast} = -2.33[/tex]

Since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to conclude that the percentage is less than 64%.

For more on the use of the z-distribution for hypothesis tests, you can check https://brainly.com/question/25584945

Answer: 90

Step-by-step explanation:

Answer:

38.5 minutes

Step-by-step explanation:

105 divided by 15=7

7 x 5 minutes and 30 seconds is 38.5 minutes

Answer:

1/5

Explanation:

There are five choices in the spinner. One of the choices is labeled '5'. That means you will have one out of the 5 choices to get the choice labeled '5'.

Good day :)

Answer:

56 miles

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

maybe this will help you

Answer:

C. 125 cm^3

Step-by-step explanation:

Hope this helps!! Brainliest please :)

Answer:

400 riders

Step-by-step explanation:

The Ferris wheel had 400 riders.

400*0.60=240.

Answer:

Y = 144

Step-by-step explanation:

60 times  = 14400

14400 = y times 100

Answer: I'm pretty sure the correct answer is (B)  Let me know if i'm correct!

Step-by-step explanation:

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

The formula for the axis of symmetry is x = -b/[2a].  Here, a = -3 and b = 18.

                                                            -18

Thus, the axis of symmetry is x = - ------------ = 3, or x = 3

                                                            2[-3]

Answer:

6.47 i THINK . or just use a search engine .

Step-by-step explanation:

i just divided 32.35 by 5

Answer:

6.47 thank me

Step-by-step explanation:

Answer: 0.2

Step-by-step explanation:

Answer:

5.4545492e+17

Step-by-step explanation:

aka a really big number

Answer:

its the last one

because the rest of them are wrong

Answer:

The length of third side is: 6.3

Step-by-step explanation:

Given triangle is a right triangle where

Base = ?

Perpendicular = 5

Hypotenuse = 8

Let x be the base

As it is a right-angled triangle, Pythagoras theorem can be used to find the third side

[tex]Hypotenuse^2 = Base^2 + Perpendicular^2[/tex]

Putting the known values

[tex](8)^2 = x^2 + (5)^2\\x^2 = (8)^2-(5)^2\\x^2 = 64-25\\x^2 = 39\\[/tex]

Taking square root on both sides

[tex]\sqrt{x^2} = \sqrt{39}\\x = 6.24499[/tex]

Rounding off to the nearest 10th

Base = 6.3

Hence,

The length of third side is: 6.3

9514 1404 393

Answer:

  4.59 g

Step-by-step explanation:

The half-life is given as 5 years, so the amount remaining after 9 years will be ...

  remaining = initial × (1/2)^(t/(half-life))

  remaining = (16 g)×(1/2)^(9/5) ≈ 4.59 g

About 4.59 g of the substance will remain after 9 years.

Answer:

We

Given below are pictures of some common reptiles. Unscrambles

land and water.

jumbled letters and write their names:

an

P

1.

2.

Snake

TLALIGAOR

3.

KNSAE

4.

TRUTLE​

Step-by-step explanation:

Answer: A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).

Step-by-step explanation:

Let p = True proportion of people rent their residence.

Given: n= 500

People rent their residence = 260

[tex]p=\dfrac{260}{500}=0.52[/tex]

z-value for 95% confidence level = 1.96

A 95% confidence interval for the true proportion will be :

[tex]p\pm z^*\sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.52\pm (1.96)\sqrt{\dfrac{0.52(1-0.52)}{500}}\\\\=0.52\pm(1.96\sqrt{\dfrac{0.2496}{500}})\\\\=0.52\pm 1.96\sqrt{0.0004992}\\\\=0.52\pm (1.96)(0.02234)\\\\=0.52\pm0.0437864\\\\=(0.52-0.0437864,\ 0.52+0.0437864)\\\\=(0.4762136,\ 0.5637864)[/tex]

A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).

Answer:

it should be c

Step-by-step explanation:

Answer:

You download 32 rock songs.

Step-by-step explanation:

*im a 7th grader so dont trust me with this answer lol*

The ratio 5 : 4 can also be written as the fraction 5/4.

The ratio pop songs, 40 : rock songs, r can be written as the fraction 40/r

Set an equation:

40/r = 5/4

Cross Multiply:

5r = 160

Divide 5 from both sides:

r = 32

There you have it, the amount of rock songs downloaded! Hopefully this helps!

Answer:

1.25 laps per minute

Step-by-step explanation:

Answer:

y=-x-1

Step-by-step explanation:

1.) equation of line in slope-intercept form: y=4-x

2.) parallel of line is same as: m=-1

3.) equation of parallel line is: y=-x+b

4.) finding b: 4=(−1)⋅(−5)+b

b=-1

5.) therefore, equation is y=-x-1