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Given:

The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]

Length of the rectangle RSTU = [tex]4x+5[/tex]

To find:

The width of the rectangle RSTU.

Step-by-step explanation:

We have,

[tex]36x^2+25x-25[/tex]

Splitting the middle term, we get

[tex]=36x^2+45x-20x-25[/tex]

[tex]=9x(4x+5)-5(4x+5)[/tex]

[tex]=(4x+5)(9x-5)[/tex]

We know that, the area of a rectangle is

[tex]Area=Length \times width[/tex]

Area of rectangle is product of (4x+5) and (9x-5).

Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.

Answer:

add 4 and 2

because you always have to simplify numbers that are inside the parentheses.

Answer:

4

simplied=2

Step-by-step explanation:

10²=8²+x²

10²=8²-x²

20=16-x²

x²=4

Simplied=2

Answer:

D

Step-by-step explanation:

(2, 4) and D(2, −3)

Answer:

Answer is (4+3i)+(5-6i)=(9-3i)

Step-by-step explanation:

I hope it's helpful!

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

Work Shown:

(4+3i) + (5-6i)

4+3i + 5-6i

(4+5) + (3i-6i)

9 + (3-6)i

9 + (-3)i

9 - 3i

As the steps above show, we treat the 'i' as a variable. So we could think of the expression as (4+3x)+(5-6x) and simplify to get 9-3x. Though we use ''i' instead of x.

Answer:

3.85

Step-by-step explanation:

46.20/12

12 goes into 46.20

3.85

Answer:

11.725%

Step-by-step explanation:

Given that :

True value = 0.904 seconds

Measured time = 1.010 seconds

Experimental error :

(|measured value - True value | / true value) * 100%

(|1.010 - 0.904| ÷ 0.904) * 100%

= 0.106 / 0.904 * 100%

= 0.1172566 * 100%

= 11.725%

Answer:

11.725%

Step-by-step explanation:

Answer:

The difference of seven and three divided by two

Step-by-step explanation:

You do the operations in the parentheses first, according to PEMDAS.

Answer:

28.29

Step-by-step explanation:

A=πr2

=3.14(3^2) (btw the ^2 is exponent)

=3.14(9)

=28.29

Answer:

Step-by-step explanation:

Building scale is 1cm=5feet

This means 1 cm is equivalent to 5 feet

If 1 cm is equals to 5 feet and the owner wants a 25% increase in dimension, this means;

25/100 =0.25.

0.25 x the actual dimension

0.25 x 5 = 1.25

1.25 + actual dimension

1.25 + 5 = 6.25.

This means the scale of the room will be on 1cm =6.25feet.

If the length of the room is A, the width is B;

The new length will then be 1.25 x A =1.25A

1.25A + A

The length of the new room is 1.25A +A

While the width of the new room is 1.25B +B

Answer:

Step-by-step explanation:

Part A:

Add all the mass together so 1,105.5 grams

Answer:  90 words per minute

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

Work Shown:

270 words : 3 minutes

270/3 words : 3/3 minutes ..... divide both parts by 3

90 words : 1 minute

Brayden can type 90 words per minute (wpm).

Answer:

d. 0.0047

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

We have that [tex]\mu = 7.7, \sigma = 0.2[/tex]

Sample of 3:

[tex]n = 3, s = \frac{0.2}{\sqrt{3}} = 0.1155[/tex]

Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?

This is 1 subtracted by the pvalue of Z when X = 8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8 - 7.7}{0.1155}[/tex]

[tex]Z = 2.6[/tex]

[tex]Z = 2.6[/tex] has a pvalue of 0.9953

1 - 0.9953 = 0.0047

The probability is given by option d.

You can calculate the z score for the specified sample and then use the z tables to find the p value(probability) needed.

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

Suppose that the sample is of size 'n', then we have the z score(we are converting random variable X to standard random variable Z) as:

[tex]Z = \dfrac{X - \overline{x}}{s} = \dfrac{X - \mu}{\sigma/\sqrt{n}}[/tex]

where [tex]\overline{x}[/tex] is mean of the sample

s is the standard deviation of the sample,

and we used the central limit theorem which says that a sample from a normally distributed population with [tex]mean = \mu[/tex] and standard deviation = [tex]\sigma[/tex] can have its mean approximated by population mean and its standard deviation approximated by [tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

Let the weight of the the olives for the given crop of olives of a particular company for taken random sample is given by X (a random variable)

Then, we have:

[tex]X \sim N(7.7, 0.2)[/tex]

where

[tex]\mu = 7.7, \sigma = 0.2[/tex]

Thus, we have:

[tex]\overline{x} = \mu, s = \sigma/\sqrt{n} = 0.2/\sqrt{3}[/tex]

Using the given facts, we get the needed probability as:

[tex]P( X> 8)[/tex] sample size n  = 3)

Then, using the z score, we get):

[tex]P(X > 8) = 1 - P(X \leq 8) = 1 - P(Z \leq \dfrac{8 - 7.7}{0.2/\sqrt{3}})\\\\P(X > 8)=1- P(Z \leq \dfrac{0.3\sqrt{3}}{0.2}) = 1- P(Z \leq 1.5 \times \sqrt{3} )\\\\P(X > 8) = 1 - P(Z \leq 2.59) = 1- 0.9952 \approx 0.0047[/tex]

Thus,

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

Learn more about standard normal distribution here:

https://brainly.com/question/14989264

Answer:

11847

Step-by-step explanation:

8900e ^0.026(11)

8900e^0.286

11846.7228518

answer 11847

Answer: 11749

Step-by-step explanation:

A=Pe

rt

=

5500

=

0.069

=

11

P=5500r=0.069t=11

Given values

=

5500

0.069

(

11

)

A=5500e

0.069(11)

Plug in

=

5500

0.759

A=5500e

0.759

Multiply

=

11748.7645718

A=11748.7645718

Use calculator (with e button)

≈

11749

A≈11749

Round to nearest dollar

Answer:

The domain of the relation is [tex]D = [-2,\infty)[/tex]

The range of the relation is [tex]R = (-\infty, \infty)[/tex]

Step-by-step explanation:

Domain and range:

Domain is considered to be the input values, in a graph, the values of x.

Range is considered to be the output values, in a graph, the values of y.

In this graph:

x starts at -2 and goes to infty. So the domain is: [tex]D = [-2,\infty)[/tex]

As for y, the arrows indicates it goes to infinity. So [tex]R = (-\infty, \infty)[/tex]

Answer:*

*Can

Step-by-step explanation:

Answer:

170/30= 5.6

Step-by-step explanation:

There should also be a line like - over the 6

Answer:

600 ml of pure water.

Step-by-step explanation:

To determine how much pure water the pharmacist should add to a 600ml solution with 30% active ingredient, so that this solution becomes 15%, the following calculation must be performed:

600 x 0.3 = 180

15 = 180

100 = X

100 x 180/15 = X

18,000 / 15 = X

1,200 = X

1,200 - 600 = 600

Thus, 600 ml of pure water should be added to achieve a 15% solution.

Answer:

58.0

Step-by-step explanation:

Given the data:

56 65 62 53 68 58 65 52 56

Reorderd data: 52, 53, 56, 56, 58, 62, 65, 65, 68

Median = 1/2(n + 1) th term

n = sample size = 9

Hence,

Median = 1/2(9 + 1)th term

Median = 1/2(10)th term

Median = 5th term

5th term in the reordered data = 58

Hence, median age is 58

the answer is three i think

x = 3 because the only equation to get five would be 3. 2 plus 3 is 5. 3 plus 2 is also five. So three is the answer.

tile model

X  1 1 1 = 1 1 1 1 1

X = 3

Answer:

for the first one x = 4

for the second one x = -8

Step-by-step explanation:

x − 7 + 7= −3 + 7 so x = 4

x + 3 − 3= −5 − 3 so x = -8

Answer:

[tex]n =26[/tex]

Step-by-step explanation:

Given

[tex]f(n) = (2n - 2) + 2[/tex]

Required

Find n when [tex]f(n) = 52[/tex]

Substitute 52 for f(n) in [tex]f(n) = (2n - 2) + 2[/tex]

[tex]52 = (2n - 2) + 2[/tex]

Remove bracket

[tex]52 = 2n - 2 + 2[/tex]

[tex]52 = 2n[/tex]

Make n the subject

[tex]n = \frac{52}{2}[/tex]

[tex]n =26[/tex]

The position is 26

answer:

26.563 miles.

step-by-step explanation:

5.123 + 6.34 + 7.1 + 8 = 26.563

-- please mark the brainliest and click the thanks button if correct :)

Answer:

10w-3t+5

Step-by-step explanation:

The expression represents Donovan's total score if one of his words contains 6 letters is 10w-3t+5.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

Let's say the number of words written is w and the number of tiles is t.

As per the given,

Players earn 10 points so 10w will be points through words.

3 points taken away thus -3t.

One word contains 6 letters thus +5 points.

Total score = 10w - 3t + 5.

Hence "The expression represents Donovan's total score if one of his words contains 6 letters is 10w-3t+5".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ5

Answer:

answer is 6

Step-by-step explanation:

i know answer is 2 weeks late

Answer:

2x-10=x+80

2x-x=80+10

X=90

3y-4=y+20

3y-y=20+4

2y=24

Y=24/2

Y=12

Im not sure man, but i hope it helps, good luck :)

There are five prizes available on the 1000 lottery tickets that were sold, assuming Saket purchased one. Only 0.005% of participants will win something.

Given,

Total number of outcomes =1000

Favorable outcomes =5

Simplify, 5 ÷ 1000

Then we get,

∴ Required probability  = 0.005.

The complete question is:

1000 tickets of a lottery were sold and there are 5 prizes on these tickets, if Saket has purchased one lottery ticket. What is the probability of wining a prize ?

To learn more about probability, refer to:

https://brainly.com/question/24756209

#SPJ1

Answer:

The answer is "8(25+x)>500;x>37.50".

Step-by-step explanation:

Please find the complete question in the attached file.

 [tex]\to 8(25+x)>500\\\\\to 200 +8x>500\\\\\to 8x> 300\\\\\to x> \frac{300}{8}\\\\\to x> 37.50[/tex]

That's why above given choice is correct.

Answer:

the water to be added is 0.2 L

Step-by-step explanation:

The computation of the water to be added is given below:

The banberry amount is

= 7% of 6 Liters

= 0. 42L

Now

Let us assume the amount of water added be x L

So, the total solution is

=  6+ x L

Now percentage of banberry is

= 0.42 × 100 ÷ (6+x)

5 = 0.42 × 100 ÷ (9 + x)

9 + x = 9.2

x = 0.2 L

hence, the water to be added is 0.2 L