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Answer:

Y=1x+0

Step-by-step explanation:

Simple y1-y2 over x1-x2 so...

2-(-2)=4

2-(-2)=4

So Slope of 1 then you pick any coordinate on the line and sub in the y. So I choose (0,0) cuz ya know easy.

SO...

Y=1x+0

Answer:

\(h(x)= 9x - 18\)

Step-by-step explanation:

Given

\(f(x) = \frac{1}{9}x + 2\)

Required

The inverse

\(f(x) = \frac{1}{9}x + 2\)

Replace f(x) with y

\(y = \frac{1}{9}x + 2\)

Swap x and y

\(x = \frac{1}{9}y + 2\)

Subtract 2

\(x - 2= \frac{1}{9}y\)

Multiply 9

\(9x - 18 = y\)

Rewrite as:

\(y = 9x - 18\)

So:

\(h(x)= 9x - 18\)

Step-by-step explanation:

it is a combination of a cone and half a sphere.

the volume of a cone is

ground area × height / 3

the ground area is a circle, so we have

pi×r²×h/3

in our case

pi×(10/2)²×12/3 = pi×5²×4 = pi×25×4 = 100pi

the volume of a sphere is

4/3 × pi×r³

and half a sphere is then

4/3 / 2 × pi×r³ = 4/6 × pi×r³ = 2/3 × pi×r³

in our case

2/3 × pi×5³ =2/3 × pi×125 = 250/3 × pi

together we get

100pi + 250/3 × pi = 300/3 × pi + 250/3 × pi =

= 550/3 × pi = 575.9586532... cm³ ≈ 576 cm³

if we use 3.14 for pi we get

575.6666666... cm³ ≈ 576 cm³

The statement that correctly describes the number -2/11 = -0.18 is (a) the number is rational because it can be written as a terminating decimal.

The number equation is given as:

-2/11 = -0.18

The number 0.18 is a terminating decimal.

Terminating decimals are rational numbers.

This means that -2/11 is a rational number

Hence, the statement that correctly describes the number -2/11 = -0.18 is (a) the number is rational because it can be written as a terminating decimal.

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The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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Purposive sampling allows nurse researchers to select participants who fit specific criteria in qualitative studies, increasing the depth and richness of findings.

A nurse researcher would use purposive sampling when obtaining participants for a qualitative study because it allows researchers to select participants who fit the very specific types of criteria that are investigated in qualitative studies.

Purposive sampling is a non-random sampling method that is used when researchers want to select a sample that has certain characteristics or experiences that are relevant to the research question.

By using purposive sampling, the researcher can ensure that the participants have the specific knowledge or experience that is necessary to answer the research question, and can therefore provide more in-depth and insightful responses. This increases the richness and depth of the qualitative findings.

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The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

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Answer:

Area original = 8

Area new = 24

Area final = 3 x area original

True

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

a) original: 8

final: 24

b) 3

c) true

Step-by-step explanation:

Answer:

$33.60

Step-by-step explanation:

20% discount on an original price of $40 = $8

so the price is now $32

5% of $32 = $1.60

32 + 1.60 = $33.60

Answer:

5.25

Step-by-step explanation:

The probability of getting at least one head is 15/16.

What is probability?

The ratio of positive outcomes to all possible outcomes of an event is known as the probability.

Formula for probability = favourable outcomes/ total outcomes

Main body:

if 4 coins are tossed , total no. of outcomes = 2⁴ = 16

In a toss there are 2 outcomes T or H

so, Probability of getting Head = 1/2

The probability of getting at least 1 head = 1- probability of getting no heads

⇒1 - Probability of getting tail in 4 tosses

⇒ 1 - (1/2)⁴

⇒ 1 - 1/16

⇒ 15/16

So the probability of getting at least one head is 15/16.

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The tallest tree that can be supported with the wire is 20 feet .

The tallest tree that can be supported with a 25 foot wire staked 15 feet away from the tree can be calculated as follows:

Therefore, the tallest tree can be found using Pythagoras's theorem,

Hence,

c² = a² + b²

where

25² - 15²  = b²

b² = 625 - 225

b = √400

b = 20 feet

Therefore, the tallest tree is 20 feet.

From the diagram, the tallest tree that can be supported by a 25 feet wire is 20 feet. we had to use Pythagoras's theorem to find the tallest tree that 25 feet wire can hold.  

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Answer:

3 CDs

Step-by-step explanation:

If we have $65 and buy a $23 DVD, we will have $42 left.

So how many $14 CDs can we buy with $42?

All we have to do is divide 42 into 14, so we know how many groups of $14 we can make with $42.

42 ÷ 14 = 3

Therefore, Michella can purchase 3 CDs.

Answer:

\(y^{6}\)

Step-by-step explanation:

Using the rules of exponents

\(a^{m}\) × \(x^{n}\) ⇔ \(a^{(m+n)}\)

\(\frac{a^{m} }{a^{n} }\) ⇔ \(a^{(m-n)}\) , then

\(\frac{y^4 y^7}{^5}\)

= \(\frac{y^{(4+7)} }{y^5}\)

= \(\frac{y^{11} }{y^5}\)

= \(y^{(11-5)}\)

= \(y^{6}\)

Answer:

Rt + S= C

Step-by-step explanation:

R= C-S/t

Rt=C-S

Rt+S=C

The given question is incomplete. The complete question is:

Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile driven. Omar had to pay $23 when he returned the truck. For how many mile did he drive the truck?

Answer: Omar drove the truck for 5.15 miles

Step-by-step explanation:

Base fee = 17.95 $

Additional charge per mile = 98 cents = 0.98 $     ( 100cents = 1$)

Now Omar payed = 22 $

Let the miles he travelled = x

Now , \(17.95+0.98\times x=23\)

Solvimg for x :

\(x=5.15miles\)

Thus Omar drove the truck for 5.15 miles

Answer:

-0.725x (3.25) x (-4.4)

Since there are 2 negative numbers in the equation, the outcome will be positive.

When the number of negative numbers are even, the outcome will be positive.

When the number of negative numbers are odd, the outcome will be negative.

Answer:

125

Step-by-step explanation:

Add all the angles then subtract by 360.

Answer:

Vp-by-step explanation:

Answer:

$2837.40.

Step-by-step explanation:

To find the cost of constructing the fence, you will need to first find the perimeter of the lot. The perimeter is the distance around the outside of the lot.

To find the perimeter of the lot, add the lengths of all four sides of the lot: 90 feet + 175 feet + 90 feet + 175 feet = 430 feet.

Then, add 6 feet 6 inches to the height of the fence to convert it to feet. There are 12 inches in 1 foot, so 6 feet 6 inches is equivalent to 6 + (6/12) = 6.5 feet.

So, the total height of the fence is 6.5 feet.

To find the cost of the materials, you will need to find the total area of the fence. The area of the fence is the amount of surface that the fence covers. To find the area, multiply the height of the fence by the perimeter: 6.5 feet * 430 feet = 2795 square feet.

To find the cost of the materials, multiply the cost per square foot by the total area of the fence: $0.82/square foot * 2795 square feet = $2299.90.

To find the cost of the labor, multiply the number of linear feet of fence by the cost per linear foot: 430 feet * $1.25/foot = $537.50.

To find the total cost, add the cost of the materials to the cost of the labor: $2299.90 + $537.50 = $2837.40.

So, the total cost of constructing the fence is $2837.40.

To find the estimated probability that it will take at least five patients to find one patient on whom the medicine would not be effective, we need to find the probability of getting NNNNN as the first five patients. Since the success rate is 0.3 and the failure rate is 0.7, the probability of getting NNNNN is:

0.7 x 0.7 x 0.7 x 0.7 x 0.7 = 0.16807

Therefore, the estimated probability that it will take at least five patients to find one patient on whom the medicine would not be effective is 0.16807.

To find the estimated probability that the medicine will be effective on exactly three out of four randomly selected patients, we need to count the number of ways we can select three patients out of four and multiply it by the probability of getting EEE and NEEE for the selected patients and non-selected patients, respectively. The number of ways to select three patients out of four is:

4C3 = 4

The probability of getting EEE and NEEE for the selected patients and non-selected patients, respectively, is:

(0.7)^3 x (0.3) x (0.7) = 0.1029

Therefore, the estimated probability that the medicine will be effective on exactly three out of four randomly selected patients is 4 x 0.1029 = 0.4116 (rounded to 4 decimal places).

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Answer:

4,000

_______

*rate this answer and say thanks please!

Given:

The price of a share of stock in JZMobile was $74 two weeks ago.

Seven weeks ago, the price was $59 a share.

To find:

The linear equation to find the price p of a share of JZMobile w weeks from now.

Solution:

Let, p be the price of a share of JZMobile w weeks from now.

The price of a share of stock in JZMobile was $74 two weeks ago. It means, the graph of linear equation passes through (2,74).

Seven weeks ago, the price was $59 a share. It means, the graph of linear equation passes through (7,59).

The graph of linear equation passes through two points (2,74) and (7,59). So, the linear equation is

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

\(y-74=\dfrac{59-74}{7-2}(x-2)\)

\(y-74=\dfrac{-15}{5}(x-2)\)

\(y-74=-3(x-2)\)

\(y-74=-3x+6\)

Adding 74 on both sides, we get

\(y=-3x+6+74\)

\(y=-3x+80\)

\(y=80-3x\)

Therefore, the correct option is C.

Answer:

Step-by-step explanation:

I don't know what to do

Answer:

5300 m

Step-by-step explanation:

Hi there!

First, we must change 5.342 km to meters by multiplying it by 1000:

5.342 × 1000 = 5342

Now, we know that 5.342 km is equivalent to 5342 m.

To round to the nearest 100 m, look at the hundreds place value in 5342 m. It is 3. The number before is 4. Because 4 is less than 5, it means we keep 3 as 3 and replace all the digits before with 0:

5300 m

I hope this helps!

If Kanye wants to save $13,000 in 7 years by making monthly payments into an ordinary annuity that pays 0.6% monthly interest, he needs to make monthly payments of $136.91.

To convert the monthly interest rate to an annual interest rate, we can use the formula:

Annual interest rate = (1 + monthly interest rate)¹² - 1

Plugging in the given monthly interest rate of 0.6%, we get:

Annual interest rate = (1 + 0.006)¹² - 1 = 0.0722 or 7.22%

Now we can use the formula for the future value of an ordinary annuity to calculate the monthly payments that Kanye needs to make to save $13,000 in 7 years:

Future value of an ordinary annuity = (monthly payment) x (((1 + annual interest rate/12)ⁿ - 1) / (annual interest rate/12))

where n is the total number of monthly payments, which is 7 x 12 = 84 in this case.

We want the future value of the annuity to be $13,000, so we can plug in the given values and solve for the monthly payment:

$13,000 = (monthly payment) x (((1 + 0.0722/12)⁸⁴ - 1) / (0.0722/12))

Solving for the monthly payment, we get:

Monthly payment = $136.91

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Answer:

The statement that best represents step 5 of Jeremy's proof is;

Explanation:

Given the statement 2 and 4 in the attached proof;

2.

Reason: definition of congruency.

4.

Reason: Transitive property of equality.

substituting statement 2 into statement 4, we will replace angle S with angle P and angle T with angle Q.

So, we will have;

5.

Reason: substitution property.

Therefore, the statement that best represents step 5 of Jeremy's proof is;

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = \(\frac{1}{\sqrt{2} }\) , then

cos45° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{3}{c}\) = \(\frac{1}{\sqrt{2} }\) ( cross- multiply )

c = 3\(\sqrt{2}\)