Math class , help me please help me please

MrMuchimi

$\displaystyle\\
\bf\\
log_{x+5} 36 = 2\\\\
\Longrightarrow~~(x+5)^2 = 36\\\\
(x+5)^2 = 6^2\\\\
x+5= 6\\\\
x = 6 - 5 = \boxed{\bold{1}}$

6 0

3 years ago

Read 2 more answers

In the figure below which term best describes point X?

Dmitrij [34]

The answer is B. centroid, which is the intersection of three medians of the triangle's sides.

Let's look into other answers as well:

A. Circumcenter

It is the point where three perpendicular bisector meet, and is not correct as we can see there is no indication of right angles.

The first photo is what a circumcenter looks like:

C. Incenter

It is the point where the angle bisectors of the triangles meet, which is not indicated in the photo as well.

The second photo is what a incenter looks like:

D. Orthocenter

It is a point where the altitudes of a triangle intersect, and is not indicated by the figure.

The second photo is what a Orthocenter looks like:

Therefore the answer is B. Centroid.

Hope it helps!

3 0

2 years ago

The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th

timama [110]

Answer: (0.076, 0.140)

Step-by-step explanation:

Confidence interval for population proportion (p) is given by :-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ = sample proportion.

n= sample size.

$\alpha$ = significance level .

$z_{\alpha/2}$ = critical z-value (Two tailed)

As per given , we have

sample size : n= 500

The number of Independents.: x= 54

Sample proportion of Independents $\hat{p}=\dfrac{x}{n}=\dfrac{54}{500}=0.108$

Significance level 98% confidence level : $\alpha=1-0.98=0.02$

By using z-table , Critical value : $z_{\alpha/2}=z_{0.01}=2.33$

The 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters will be :-

$0.108\pm (2.33)\sqrt{\dfrac{0.108(1-0.108)}{500}}\\\\=0.108\pm2.33\times0.013880634\\\\=0.108\pm0.03234187722\\\\\approx0.108\pm0.032=(0.108-0.032,\ 0.108+0.032)=(0.076,\ 0.140)$

Hence, the 98% confidence interval for the true percentage of Independents among Haywards 50,000 registered voters.= (0.076, 0.140)

8 0

3 years ago

2- Guillermo envasa 355 ml de agua

Lapatulllka [165]

Answer:

83,749 bottles

Step-by-step explanation:

Each bottle contain = 355ml

Total water need to pack = 29,730,895 ml

So, we can calculate the number of bottles by using following formula,

Number of bottles required = Total water ÷ Each bottle contain

by putting the value, we get

Number of bottles required = 29,730,895 ÷ 355

= 83,749

Hence, total number of bottles required is 83,749.

7 0

3 years ago

In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. Smitha answered all

Ymorist [56]

Answer:

15 answers

Step-by-step explanation:

To solve this question we need to set up an equation.

Let's name the number of incorrect answers x.

<u>We can set up an equation that's essentially:</u>

(Points for correct answer)*(number of correct answers)+(points for incorrect answer)*(number of incorrect answers)=final score

When we plug in our numbers and variables it looks like this:

5(3)+(-2x)=-15

Simplify

15-2x=-15

Subtract 15 from both sides

-2x=-30

Divide both sides by -2

x=15

This means Smitha attempted 15 wrong answers, and that there were 18 questions in total.

6 0

1 year ago