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3 years ago

PLEASE ANSWER PRETTY EASY BUT NEED HELP!!! LOTS OF POINTS AND BRAINLIEST :)

Mathematics

1 answer:

AnnZ [28]3 years ago

5 0

Answer:

Step-by-step explanation:

Make and equation and solve for x.

(2x+10)^2 = 4(x-5)^2 Now the easiest thing to do is use the formula for squared binomial, (a+b)^2 = a^2 + 2ab + b^2.

4x^2 + 40x + 100 = 4(x^2 - 10x + 25)

4x^2 + 40x + 100 = 4x^2 - 40x + 100

From hear you can cancel out similar terms

40x + 100 = - 40x + 100

40x = -40x

add 40x to both sides

80x = 0

x = 0

The only solution to this is 0.

You might be interested in

The mean finish time for a yearly amateur auto race was 186.32 minutes with a standard deviation of 0.305 minute. The winning c

uranmaximum [27]

Complete Question

The mean finish time for a yearly amateur auto race was 186.94 minutes with a standard deviation of 0.305 minute. The winning car, driven by Roger, finished in 185.85 minutes. The previous year's race had a mean finishing time of 110.7 with a standard deviation of 0.115 minute. The winning car that year, driven by Karen, finished in 110.48 minutes.

Find their respective z-scores.

Who had the more convincing victory?

A. Roger had a more convincing victory because of a higher z-score.

B. Karen a more convincing victory because of a higher z-score.

C. Roger had a more convincing victory, because of a lower z-score.

D. Karen a more convincing victory because of a lower z-score.

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

The mean of the current year is $\mu_c = 186.32 \ minutes$

The standard deviation is $\sigma_c = 0.305 \ minutes$

The time taken by the winning car for the current year is $x = 185.85 \ minutes$

The mean of the previous year is $\mu_p = 110.7 \ minutes$

The standard deviation the previous year is $\sigma_p = 0.115 \ minutes$

The time taken by the winning car for the previous year is $y = 110.48 \ minutes$

Generally the z-score for current year is mathematically evaluated as

$z_c = \frac{x- \mu_c}{\sigma_c }$

=> $z_c = \frac{ 185.85- 186.32}{0.305 }$

=> $z_c = -1.536$

Generally the z-score for previous year is mathematically evaluated as

$z_p = \frac{y- \mu_p}{\sigma_p }$

=> $z_p = \frac{ 110.48-110.7}{0.115 }$

=> $z_p = -1.913$

From the value obtained we see that $z_p < z_c$ , Hence Karen had a more convincing victory because of the lower z -score.

5 0

3 years ago

Write 7.4 as a mixed number and as an improper fraction. Do not try to simplify your answers.

Brut [27]

<span>Write 7.4 as a mixed number and as an improper fraction. Do not try to simplify your answers.
</span>
The answer is 37/5

5 0

4 years ago

Read 2 more answers

58.(A) (5pts)A certain type of bacteria, given favorable growth medium, quadruples in population every 6 hours. Given that there

Jet001 [13]

Answer:

157286400 bacteria

Step-by-step explanation:

We are given the following in the question:

The bacteria increases 4 times every 6 hours.

Initially there are 150 bacteria.

Thus, we can write the function for number of bacteria after x hours,

$f(x) = 150(4)^{\frac{x}{6}}$

We have to find the number of bacteria in 2.5 days.

1 day = 24 hours

Thus,

$2.5\text{ days} = 24\times 2.5 = 60\text{ hours}$

Putting x = 60 in the above equation, we get,

$f(60) = 150(4)^{\frac{60}{6}} = 150(4)^{10} = 157286400$

Thus, there will be 157286400 bacteria in two and a half days.

5 0

4 years ago

Which equation best matches the graph shown below?

Naily [24]

Answer:

y=0.5(x+6)(x+5)

Step-by-step explanation:

Since the parabola goes upwards as it expands from the vertex, the "a" value is definitely positive so the answer must be either the top-left or bottom-right. Next, use the roots to find the final answer. The roots are on the left side of the y-axis which indicates that they are negative. Now you know that the answer is the bottom-right answer because if both roots are negative, then the expressions must include addition to create 0 which is the y-value at the bases.

5 0

3 years ago

OBSERVATION A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle of elevation to

vekshin1

Answer:

The tower is 102.26 feet tall.

Step-by-step explanation:

We have drawn the triangle for your reference.

According to the figure point 'A' is the persons eye.

Point 'B' is the bottom of the cliff.

Point 'C' is the top of the cliff.

And Point 'D' is the top of the tower.

Given,

A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff.

So from diagram we can say that;

Length of AB = 100 ft

The angle of elevation to the top of the cliff is 30°.

So from diagram we can say that;

∠CAB = 30°

the angle of elevation to the top of the tower is 58°.

So from diagram we can say that;

∠DAB = 58°

We have to find the height of the tower i.e. CD.

Solution,

In ΔCAB,

∠CAB = 30°

AB = 100 ft

Now according to trigonometric ratios;

$tan\theta=\frac{opposite\ side}{adjacent\ side}$

Substituting the values we get;

$tan\ 30\° = \frac{BC}{100}$

Now

$tan\ 30\° = \frac{1}{\sqrt{3}}$

$\frac{1}{\sqrt{3}} = \frac{BC}{100}\\\\BC =\frac{100}{\sqrt{3}} = 57.74 \ ft$

In ΔDAB,

∠DAB = 58°

AB = 100 ft

Now according to trigonometric ratios;

$tan\theta=\frac{opposite\ side}{adjacent\ side}$

Substituting the values we get;

$tan\ 58\° = \frac{BD}{100}$

Now

$tan\ 58\° = 1.60$

$1.60 = \frac{BD}{100}\\\\BD =100\times 1.6 = 160 \ ft$

Now BD = BC + CD

CD = BD - BC = 160 - 57.74 = 102.26 ft

Hence The tower is 102.26 feet tall.

6 0

4 years ago