Rationalize the denominator.

9-10/2
V2+1

Rationalize The Denominator.9-10/2V2+1

Answers

Answer 1

Answer:

  d.  19√2 -29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{9-10\sqrt{2}}{\sqrt{2}+1}=\dfrac{(9-10\sqrt{2})(\sqrt{2}-1)}{(\sqrt{2}+1)(\sqrt{2}-1)}\\\\=\dfrac{9\sqrt{2}-9-10\cdot2+10\sqrt{2}}{2-1}=\boxed{19\sqrt{2}-29}[/tex]

Answer 2

Answer:

Step-by-step explanation:

Rationalize The Denominator.9-10/2V2+1

Related Questions

Outliers have very little or no effect on which of the following check all that apply mean median mode range or standard deviation

Answers

Outliers are data elements that are far from the other elements of a dataset, and they have little or no effect on the median and the mode

Outliers are usually large or very low values, and they always affect the mean of the dataset.

Also, they affect the range of the dataset.

The standard deviation is dependent on the mean of the dataset.

This means that, outliers would also have effects on the standard deviation.

However, outliers are most likely not to have a considerable effect on the median and the mode of the dataset.

Hence, the true options are mode and median

Read more about outliers at:

https://brainly.com/question/23461655

help plz LCM/GCF plz help with 2, 4, and 5 show your work for brainliest
THIS IS WORTH 100 POINTS!!!

Answers

Answer:

2. 60

4. 6

5. 3

Step-by-step explanation:

These questions are all asking for the GCF, which is the greatest common factor, or the largest number that can be divided into all of the numbers.

ex. for 2, the question is basically asking for the GCF between 12 and 15

we see that 12 = 3x4, 15 = 3x5, so from here we see that 3 is the GCF.

please help meeeee c:

Answers

Answer:

x = - 2

Step-by-step explanation:

Don't let the points disturb you. They are actually meant to confuse you.

Simplify the ratio 25 :15

Answers

Answer:

5/3

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 25 and 15 is 5

Divide both the numerator and denominator by the GCD

25 ÷ 5

15 ÷ 5

Reduced fraction:  

5

3

Therefore, 25/15 simplified to lowest terms is 5/3.

brailiest pls hope it helps

A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 7

Answers

Answer: Probability is 4/12, or 1/3

According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? State the random variable, population parameter, and hypotheses.

Answers

Testing the hypothesis, it is found that since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.

At the null hypothesis, we test if the proportion is of 23%, that is:

[tex]H_0: p = 0.23[/tex]

At the alternative hypothesis, we test if this proportion is lower than 23%, that is:

[tex]H_1: p < 0.23[/tex]

The test statistic is given by:

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

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

In this problem, the parameters are: [tex]p = 0.23, n = 1432, \overline{p} = \frac{321}{1432} = 0.2242[/tex]

Then, the value of the test statistic is:

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

[tex]z = \frac{0.2242 - 0.23}{\sqrt{\frac{0.23(0.77)}{1432}}}[/tex]

[tex]z = -0.52[/tex]

The p-value of the test is the probability of finding a sample proportion of 0.2242 or below, which is the p-value of z = -0.52.

Looking at the z-table, z = -0.52 has a p-value of 0.3015.

Since the p-value of the test is of 0.3015, which is greater than the significance level of 0.05, the data does not provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%.

A similar problem is given at https://brainly.com/question/14639462

What should be done to both sides of the equation in order to solve -5m = -40?


A. Multiply by -5.
B. Divide by -5.
C. Multiply by -40.
D. Divide by -40.

Answers

Answer
B. Divide by -5

Answer:

B.Divide by -5

Step-by-step explanation:

-5m= -40

divide bothe sides by -5

m= -40/-5

m= 8

Is 18 is 25% of 72 true or false
Step by step evidence

Answers

Answer:

true

Step-by-step explanation:

25% of 72

25/100 * 72

= 1/4 * 72

= 18

With a coupon, you can get a pair of shoes that normally costs $84 for only $71.40. What
percentage was the discount?

Answers

Answer:

85%

Step-by-step explanation:

71.40/84=0.85. multiply the decimal by 100 to get the percentage

The perimeter of a triangle is 53 in. The shortest side is 10 in. less than the longest side. The middle side is 19 in. less than the combined lengths of the
shortest and longest sides. Find the lengths of the three sides.

Answers

9514 1404 393

Answer:

shortest: 13 inmiddle: 17 inlongest: 23 in

Step-by-step explanation:

Let s represent the shortest side. Then the longest side is (s+10) and the middle side is (s+(s+10)-19). The perimeter is the sum of the sides.

  s + (2s-9) +(s+10) = 53

  4s +1 = 53

  s = (53 -1)/4 = 13

The side lengths are ...

shortest: 13 inmiddle: 17 inlongest: 23 in

On the first three tests, Jhon scored 72 points. On the next test, he got a higher score. On the
third test, his score was 1 more than on the second. His average on the three tests was 83.
What were his grades on the second and third tests?

Answers

Answer:

Second test=88

Third test=89    Hope this helps please mark brainliest it helps a lot! Thanks!

Step-by-step explanation:

According to the question, here we got to know that John scored 72 points in the first test

In the second he scored higher than the 1st test

In the third he scored 1 mark more than the second test

His average in the three tests was 83

So,

Let's the marks scored in the 2nd test be x

Hence, in the third test he got x + 1

Average is 83

[tex] \frak{Average = \frac{{1}^{st} \: test + {2}^{nd} \: test + {3}^{rd} \: test }{3} } \\ \\ \dashrightarrow \frak{83 = \frac{72 + x + x + 1}{3}} \\ \\ \dashrightarrow \frak{83 = \frac{73 + 2x}{3}} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{x = \frac{176}{2} } \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \dashrightarrow \frak{249 - 73 = 2x} \\ \\ \dashrightarrow \frak{249 = 73 + 2x } \\ \\ \star \qquad \boxed{ \green{\frak{x = 88}}} \\ \\ \sf{ \underline{{2}^{nd} \: test }} : \\ \\ \boxed{ \red{88}} \\ \\ \sf{ \underline{{3}^{rd} \: test }} : \\ \\ \rightarrow x + 1 \\ \\ \rightarrow 88 + 1 \\ \\ \boxed{ \red{ 89 }}[/tex]

The chart shows how many people have signed up to go on a field trip each day. 62 students are allowed to go on the field trip. On which day would you expect that number to be reached?A) 8B) 9C) 10D) 11

Answers

Answer:

C

I hope it helps.

What is the equation for the line in slope-intercept form?

Answers

Y=-8/2x+5
Hgfxdffggggujjcfccchhjbvg

a ladder 7.5m long rests against a wall . the botton of ladder is 2.1m from the wall . calculate how far the ladder reaches up the wall.
PLEASE SOLVE THIS QUESTION!!​

Answers

Answer:

h = √(7.5² - 2.1²) = 7.2 m

Step-by-step explanation:

Pythagorean theorem

will give 25 for answering correct

Answers

Answer:

C) y + 1 = -5(x - 1)

Step-by-step explanation:

Given:

m = -5

(1, -1)

We just simply use the point-slope formula and plug in:

y - y1 = m(x - x1)

y - (-1) = -5(x - 1)

y + 1 = -5(x - 1)

Triangle ABC is isosceles. What is the measure of angle C?

A. 25°
B. 30°
C. 60°
D. 75°

Answers

The answer is D, 75°.

All the interior angles of a triangle add up to 180°. With this information, we can set up this equation:

(x + 5) + (3x) + (3x) = 180

Combine like terms.

(x + 5) + (3x) + (3x) = 180

7x + 5 = 180

-5 -5

7x = 175

/7 /7

x = 25

Now, since this is an isosceles triangle, we can easily substitute the value of x into 3x. 3 • 25 = 75 which is 75°.

A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type are driven for 1000 miles on each of 18 different cars. In a separate experiment, 18 cars were outfitted with tires with tread type A, and another 18 were outfitted with tires with tread type B. Each car was driven 1000 miles. The cars with tread type A averaged 23.95 mpg, with a standard deviation of 1.79 mpg. The cars with tread type B averaged 22.19 mpg, with a standard deviation of 1.95 mpg. Let μX represent the population mean mileage for tread type A and let μY represent the population mean mileage for tread type B.


Required:

Find a 99% confidence interval for the difference μXâμY. Round the answers to three decimal places.

Answers

Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).

We are given the standard deviation for the samples, hence, the t-distribution is used to solve this question.

The standard errors are given by:

[tex]s_A = \frac{1.79}{\sqrt{18}} = 0.4219[/tex]

[tex]s_B = \frac{1.95}{\sqrt{18}} = 0.4596[/tex]

For the distribution of differences, the mean and the standard error are given by:

[tex]\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76[/tex]

[tex]s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239[/tex]

The interval is given by:

[tex]\overline{x} \pm ts[/tex]

The critical value for a two-tailed 99% confidence interval with 18 + 18 - 2 = 34 df is t = 2.7284.

Then:

[tex]\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058[/tex]

[tex]\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462[/tex]

The 99% confidence interval for the difference is (0.058, 3.462).

For more on the t-distribution, you can check https://brainly.com/question/16162795

$49.95 gloves 5 1/4 % markup

Answers

Answer:

1234567891011121314151617181920

{3x−5y=4 -2x+6y=18

Please help solve for x and y

Answers

Answer:

hello mam I don't know what to say to someone who makes the way to the way to the way to the way to the way to the way to work now where is my turn to the dark side I will be

A recipe for pasta dough says, “Use 150 grams of flour per large egg.”
How much flour is needed if 6 large eggs are used?
How many eggs are needed if 450 grams of flour are used?

Answers

Answer:

1. 900 grams

2. 3 eggs

Step-by-step explanation:

1. 150 x 6 = 900

2. 450 / 150 = 3

Answer:

900 grams of flour are needed if six eggs are used. 3 eggs are needed if 450 grams of flour are used.

Step-by-step explanation:

First, multiply the number of large eggs by grams per large egg: 150×6=900

Next, divide the number of grams of flour by grams per large egg: 450/150=3

Write 2 over 5 as a percent.

Answers

Answer:

40%

Step-by-step explanation:

2/5 = 40/100 = 40%

What is the value of x?

Answers

Answer:

41º

Step-by-step explanation:

As this is an isosceles B and D are congruent.

The sum of the angles in a triangle is 180º

Therefor

2x = 180 - 98

2x = 82

x = 41º

if f(x)= -2x^3 +14-8
if g(x)= 2x+6
find p(x) and g(x)
hurry upp please

Answers

Answer:x=3

Step-by-step explanation:

Write the ratio as a ratio of whole numbers using fractional notation.
39 days to 15 days

Answers

Solution:

[tex] \frac{39 \: \: days}{15 \: \: days} \\ = \frac{39}{15} \\ dividing \: \: \: both \: \: \: numerator \: \: \: and \: denominator \: \: \: by \: \: \: 3 \\ = \frac{13}{5} \\ = 13 : 5[/tex]

Answer:

13:5

Hope it helps.

Do comment if you have any query.

please help me with these questions I could truly appreciate it. No link please!

Explain why an exponential or logarithmic function would not be used to model the graph from question 1?

For Question 1, what is the y intercept and explain the meaning in the context of that problem?

Answers

Answer:

see below

Step-by-step explanation:

neither would be used because for an exponential, it would be a constant increasing or decreasing, and same thing for the logarithmic. This function has a consistent wave pattern.

1. 600, y intercept is when the study began

A graph can be modeled by several functions such as exponential function, logarithm functions, linear functions, quadratic functions, etc.

The graph is neither an exponential function, nor a logarithmic functionThe y-intercept is 600

The function type

An exponential function and a logarithmic function would either increase through its interval or decrease through its interval.

These functions would not increase and then decrease or decrease and then increase at different intervals.

From the attached graph, we can see that the graph increases and decreases at several intervals.

Because of this changes in the graph behavior, the graph cannot represent an exponential function or a logarithmic function.

The y-intercept

The graph cross the y-axis at y = 600.

Hence, the y-intercept is 600

Read more about exponential and logarithmic functions at:

https://brainly.com/question/3181916


A car travels a distance of 7575 meters in a time of 25 hours. What is the car's speed?

Answers

Answer:

303 miles per hour

Step-by-step explanation:

Using 7 what is the angle measure represented by the expression (2x+45)°?
PLEASE HELP ITS URGENT

Answers

If you plug 7 as x into:

(2x+45)

then you get

(2(7)+45)

(14+45)

(59)


I NEED HELP W THIS ASAP!!!!!

Answers

Answer:

[tex]18[/tex]

Step-by-step explanation:

[tex] \frac{28}{14} = 2 \\ \frac{36}{x} = 2 \\ x = \frac{36}{2} \\ = 18[/tex]

From a group of 15 men and 12 women, how many ways can you select a group of 2?
Answer:

Answers

The total number of ways this can be done together is 105 × 66 = 6930

This is a combination question question it has to do with selection.

In order to group 2 men from 15 men, this can be expressed using the combination formula as shown;

15C2 = 15!/(15-2)!2!

15C2 = 15!/13!2!

15C2 = 15×14/2

15C2 = 105 ways

Similarly in order to group 2 women from 12 men, this can be expressed using the combination formula as shown;

12C2 = 12!/(12-2)!2!

12C2 = 12!/10!2!

12C2 = 12×11/2

12C2 = 66 ways

The total number of ways this can be done together is 105 × 66 = 6930

Learn more about combination here: https://brainly.com/question/14492965

The property taxes on a business office were $2340. What was the tax rate if the business office was valued at $260,000? Follow the problem-solving process and
round
your answer to the nearest hundredth of a percent, if necessary.

Answers

Answer:

It is 2447/150,000

=0.0163=1.63%

Step-by-step explanation:

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