1)make x the subject of h=4(x+3y)+2 2) make a the subject of a^2+b^2=c^2

Answers

Answer 1

Answer:

\(\frac{h-12-2}{4} = x\)  & a² = c² - b²

Step-by-step explanation:

h = 4 (x + 3y) + 2

Expand brackets

h = 4x + 12y + 2

Subtract 12y & 2 from both sides

h - 12y - 2 = 4x

Divide both sides by 4

\(\frac{h-12-2}{4} = x\)

a² = c² - b²

Then √ both sides to lose the ²


Related Questions

the percent yield is calculated as the ratio of the

Answers

The percent yield is calculated as the ratio of the actual yield to the theoretical yield, multiplied by 100.

Percent yield is a measure of how efficient a chemical reaction or process is in producing the desired product.

The formula for percent yield is:

Percent Yield = (Actual Yield / Theoretical Yield) * 100

The actual yield is the amount of product obtained from the reaction or process, typically measured in grams or moles. It represents the actual amount of product obtained in the laboratory.

The theoretical yield, on the other hand, is the maximum amount of product that can be obtained based on stoichiometry and other factors. It is calculated using balanced chemical equations and the starting amounts of reactants.

By dividing the actual yield by the theoretical yield and multiplying by 100, we get the percent yield, which is expressed as a percentage.

This value provides insight into the efficiency of the reaction or process, with a higher percent yield indicating a more efficient conversion of reactants into products.

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−2 1/4×(−1 1/3)\(−2 1/4×(−1 1/3)\)

Answers

The value after multiplying the given mixed fractions is 7/6   .

In the question ,

it is given that ,

the two mixed fraction are given as \(-2\frac{1}{4}\)  and \(-1\frac{1}{3}\)  ,

we need to find their value after multiplication .

we first convert the mixed fractions into improper fraction ,

So ,

\(-2\frac{1}{4}\) = (-2×4+1)/4 = (-8+1)/4 = -7/4

and

\(-1\frac{1}{3}\) = (-1×3+1)/3 = (-3+1)/3 = -2/3

So , the product of -7/4 and -2/3 is written as

= -7/4 × -2/3

= (-7 × -2)/(4 × 3)

= 14/12

after simplifying ,

= 7/6

Therefore , The value after multiplying the given mixed fractions is 7/6   .

The given question is incomplete , the complete question is

Find the value after multiplying the given mixed fraction \(-2\frac{1}{4} \times -1\frac{1}{3}\)   .

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Sunday later my sister clean 1 3/9 hours Monday my mom clean 2 5/6 hours the my bad clean 1 4/2 hours who cleaned the most

Answers

Answer:

Hermana

Step-by-step explanation:

Answer:

3:30

Step-by-step explanation:

What is a negative z score and when would it be in your favor to have one?

Answers

Answer:

A positive z-score indicates that a particular value is greater than the mean, a negative z-score indicates that a particular value is less than the mean, and a z-score of zero indicates that a particular value is equal to the mean.

Step-by-step explanation:

Examples: Calculating a Z-Score

Suppose we have the following dataset that shows the height (in inches) of a certain group of plants:

5, 7, 7, 8, 9, 10, 13, 17, 17, 18, 19, 19, 20

The sample mean of this dataset is 13 and the sample standard deviation is 5.51.

1. Find the z-score for the value “8” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (8 – 13) / 5.51  =  -0.91

This means that the value “8” is 0.91 standard deviations below the mean.

2. Find the z-score for the value “13” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (13 – 13) / 5.46  =  0

This means that the value “13” is exactly equal to the mean.

3. Find the z-score for the value “20” in this dataset.

Here is how to calculate the z-score:

z  =  (X – μ) / σ  =  (20 – 13) / 5.46  =  1.28

The negative z-score indicates that a particular value will be less than the mean.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The points regarding the z-score are as follows:

A positive z-score shows that a specific worth is more prominent than the mean.A negative z-score demonstrates that a specific worth is not exactly the mean.A z-score of zero shows that a specific worth is equivalent to the mean.

The negative z-score indicates that a particular value will be less than the mean.

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Determine if each graph represents a function explain your reasoning. Please do 9 and 10 :)

Determine if each graph represents a function explain your reasoning. Please do 9 and 10 :)

Answers

Answer:

9is an irrationalnfunction which would be 0=y^2+x^2 while 10 is y=-x^2+3

Jon had saved 30 dollars he earns $7.50 per hours at his job . He plans to buy a plane ticket to Florida for $300 . Enter the minimum of hours Jon must work in Order to but the plane ticket to Florida

Answers

Jon must wok 35 hours to buy the plane ticket
He’s going to have to work for 40 hrs :)

A business was valued at £80000 at the start of 2013. In 5 years the value of this business raised to £95000. this is equivalent to a yearly increase of x%.
Find out the value of x.
give your answer correct to 2 significant figures.​

Answers

the yearly increase of x% assumes is compounding yearly, so let's use that.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\£95000\\ P=\textit{original amount deposited}\dotfill &\£80000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}\)

\(95000=80000\left(1+\frac{~~ \frac{r}{100}~~}{1}\right)^{1\cdot 5}\implies \cfrac{95000}{80000}=\left( 1+\cfrac{r}{100} \right)^5 \\\\\\ \cfrac{19}{16}=\left( 1+\cfrac{r}{100} \right)^5\implies \sqrt[5]{\cfrac{19}{16}}=1+\cfrac{r}{100}\implies \sqrt[5]{\cfrac{19}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[5]{\cfrac{19}{16}}=100+r\implies 100\sqrt[5]{\cfrac{19}{16}}-100=r\implies 3.5\approx r\)

Explain the steps for moving three disks from one peg to another. start with moving the small disk to the right peg.

Answers

There are some ways by which move the steps from sequence and series method like

Move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.

According to the statement

we have to explain the moving steps to change the position of the given three disk from one peg to another.

So, for the solution of this problem

Firstly we know that the sequence and series

An itemized collection of elements in which repetitions of any sort are allowed is known as a sequence, whereas series is the sum of all elements.

we have to use the sequence and series method.

So, according to this method

Move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.

So, there are some ways by which move the steps from sequence and series method like

Move the medium desk to the left peg. Move the small desk to the left peg. Move the large desk to the right peg. With the small disc to the middle peg. Move the middle desk to the right peg. With the small desk to the right peg.

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The high blood pressure of an obese individual can be modelled by the function p()-40 sin 3x + 160, where p(1) represents the blood pressure, in millimetres of mercury (mmHg), and is the time, in seconds. Determine the maximum and minimum blood pressure, in the time interval 0 SIS 0.75, and the time(s) when they occur.

Answers

Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.

To find the maximum and minimum values of the blood pressure function p(t), we need to examine the behavior of the sinusoidal term, -40sin(3t), within the given time interval. The function is a sine wave with an amplitude of 40 and a period of 2π/3. This means that the maximum value occurs at the peak of the sine wave (amplitude + offset), and the minimum value occurs at the trough (amplitude - offset).

The maximum blood pressure corresponds to the peak of the sine wave, which is 40 + 160 = 200 mmHg. To find the time at which this occurs, we set the argument of the sine function, 3t, equal to π/2 (since the peak of the sine wave is π/2 radians). Solving for t gives t = (π/2) / 3 = π/6 ≈ 0.524 seconds.

Similarly, the minimum blood pressure corresponds to the trough of the sine wave, which is -40 + 160 = 120 mmHg. Setting the argument of the sine function equal to 3π/2 (the trough of the sine wave), we find t = (3π/2) / 3 = π/2 ≈ 1.571 seconds.

Therefore, the maximum blood pressure of 200 mmHg occurs at approximately 0.524 seconds, and the minimum blood pressure of 120 mmHg occurs at approximately 1.571 seconds within the time interval 0 ≤ t ≤ 0.75.

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Enter the correct answer in the box. Simplify the expression x^5 • x^7​

Answers

Answer:

= x^12

Step-by-step explanation:

Answer:

The answer is x^12

Step-by-step explanation:

........

a philosophy professor assigns letter grades on a test according to the following scheme. a: top 13% of scores b: scores below the top 13% and above the bottom 62% c: scores below the top 38% and above the bottom 15% d: scores below the top 85% and above the bottom 8% f: bottom 8% of scores scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5 . find the minimum score required for an a grade. round your answer to the nearest whole number, if necessary.

Answers

To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.

Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:

x = μ + (z * σ)

where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:

x = 69.5 + (1.04 * 9.5) ≈ 79.58

Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.

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Does anyone know what point a would equal???

Does anyone know what point a would equal???

Answers

The values of a, b, c, and d in the parallelogram are:

a = -2

b = 10

c = 4

d = 2

To determine the values of a, b, c, and d in the parallelogram, we can use the properties of parallelograms.

Since opposite sides of a parallelogram are parallel, the y-coordinate of the point opposite (4, 10) should also be 10.

Then, we have:

Point (a, 10) and Point (c, d)

The x-coordinate of the opposite point is the same for both pairs of opposite sides. So we can set:

a = -2

c = 4

Now, we need to find the value of d. Since the opposite sides of a parallelogram are also equal in length, we can use the y-coordinate of another given point, (-2, 2), to find d.

d = 2

So the values of a, b, c, and d in the parallelogram are:

a = -2

b = 10

c = 4

d = 2

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What are the next two numbers in this pattern?

2, –8, 32, –128, . . .


A 512, –2,048

B –224, 3,120

C –512, 2,048

D 224, –3,120

Answers

The answer is C
How: it’s multiplying by 4 so 2 times 4 is 8, 8 times 4 is 32 4 times 32 is 128.

On a map, 1 inch equals 5 miles. Two cities are 7 inches apart on the map. What is the actual distance between the cities?

The actual distance between the cities is ___ miles.

Answers

Answer:

35

Hope this helps!

7 * 5 = 35

35 miles between the cities

A kite is attached to a 20 foot string that is staked to the ground . how far above the ground is the kite?

A kite is attached to a 20 foot string that is staked to the ground . how far above the ground is the

Answers

Answer:

12ft

Step-by-step explanation:

Answer:

The kite is 15ft from the ground

Step-by-step explanation:

Help me with this please guys

Help me with this please guys

Answers

Answer:

c

Step-by-step explanation:

For the following Isosceles Triangle, find X:



X =

For the following Isosceles Triangle, find X:X =

Answers

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

For the following Isosceles Triangle, find X:X =

please help will mark Brainliest​

please help will mark Brainliest

Answers

Answer:

 9 - 4x = 9

Step-by-step explanation:

Hope it Helps

Please help!!!!!!! I only have 20 minutes left!!

Please help!!!!!!! I only have 20 minutes left!!

Answers

Step-by-step explanation:

You need to find the total number of students the pie chart will represent:

17 + 35 + 38 = 90

So you know, 360° represents 90 people

You can then find out the angle for each person: 360 ÷ 90 = 4

Each person is 4°

a)

1. 17 people took French so you would do 4° × 17 = 68°

2. 35 people took German so you would do 4° × 35 = 140°

3. 38 people took Italian so you would do 4° × 38 = 152°

b)

17 out of 90 people chose french so the probability would be 17/90

Using the same algorithm:
• Start with a number and add 2 to it.
• Double the result.
• Subtract 3 from that quantity.
If an input to this function is n = 3, what is the output?

Answers

Answer:

7

Step-by-step explanation:

step 1

\(n+2\)

step 2

\(2(n+2)\\\\=2n+4\)

step 4

\(2n+4-3\\\\=2n+1\)

if n=3

\(2(3)+1\\\\=6+1\\\\=7\)

output is 7

You have the following coins in your pocket: 5 quarters, 6 dimes, 2 nickels, and 12 pennies. What is the probability you will draw a dime and then a
penny?

Answers

5 quarters is 125 cents 6 dimes is 60 cents 2 Nickels are 10 cents and 12 pennies are 12 cents all that in total is 207

Probability is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

The probability of drawing a dime and then a penny is 9/50.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of coins = 6 dimes + 2 nickels + 12 pennies = 20

Number of dims = 6

Number of nickels = 2

Number of pennies = 12

The probability of drawing a dime.

= 6/20

= 3/10

The probability of drawing a penny.

= 12/20

= 6/10

= 3/5

Now,

The probability of drawing a dime and then a penny.

= 3/10 x 3/5

= 9/50

Thus,

The probability of drawing a dime and then a penny is 9/50.

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Leah rides her bike to school a total of 80.75 miles per week. The miles (m) she rides in one day can be calculated using the equation below.

5m=80.75

Answers

Answer: 16.15

Step-by-step explanation:

Divide by 5 on both sides

m=16.15

What is 10/3 as a whole number

Answers

Answer:

Three and one third

Step-by-step explanation:

Answer:

it can not be a whole number but the mixed number is 3 (1)/(3)

Step-by-step explanation:

What are the degrees of freedom for the F test in a one-way ANOVA? 0A (n - c) and (c ~ 1) 0 B. (c ~ 1) and (n ~c) 0 C (n - 1) and (c-n) 0 D. (c - n) and (n - 1)

Answers

The degrees of freedom for the F test in a one-way ANOVA are D. (c - n) and (n - 1).

The numerator degrees of freedom (c - n) is the number of groups (c) minus the number of observations in each group (n). The denominator degrees of freedom (n - 1) is the total number of observations (n) minus the number of groups (1). These degrees of freedom are used to calculate the F statistic, which is used to determine if there is a significant difference between the means of the groups. The degrees of freedom for the F test in a one-way ANOVA are given by two values. The first value represents the degrees of freedom between groups (DFbetween), and the second value represents the degrees of freedom within groups (DFwithin). The correct is B. (c - 1) and (n - c), where 'c' represents the number of groups (categories) and 'n' represents the total number of observations (data points) in the dataset.

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solve for x or find x ​

solve for x or find x

Answers

X=9
Prove
9+27=36
4(9)=36

Paul scores 19 marks in a test and it is equivalent to 95%. What is the total mark for the test?

Answers

Based on the given condition formula

\(\begin{gathered} =\frac{19}{95\text{ percentage}} \\ =\frac{19}{\frac{95}{100}} \\ =\frac{19}{\frac{19}{20}} \\ =19\times\frac{20}{19} \\ =20 \\ 20\text{ is the total mark for test} \end{gathered}\)

Donald bought a box of golf balls for $9.26. There were 18 golf balls in the box. About how much did each golf ball cost?

Answers

Answer:

$0.51 per golf ball.

Step-by-step explanation:

9.26 divided by 18 is 0.51.

Answer:

$1.94 dollars

Step-by-step explanation:

hehe

For each of the following situations determine if you are able to reasonably generalize from the sample to the population. Say why or why not. a) You use your statistics class to get an estimate of the percentage of students in your school who study at least two hours per night. (2 points) b) You use the average annual income of the ambassadors to the United Nations to get an estimate of average per-captia income for the world as a whole. (2 points) c) In 1996, a Gallup poll sampled 235 U.S residents ages 18 to 29, to estimate the percentage of all U.S. residents ages 19 to 29 who favored cuts in social spending

Answers

Given statement solution is :- a) If the sample was biased or not representative of the overall student population (e.g., only students from specific grades or majors), the estimate may not accurately reflect the percentage of students in the entire school who study at least two hours per night.

b) To estimate the average per capita income for the world, a more representative and comprehensive sampling approach would be necessary.

c) It's worth noting that the data is quite outdated (from 1996), and societal opinions and attitudes may have changed significantly since then. So, while the generalization might have been reasonable at the time of the poll, it may not accurately reflect the current population's views on social spending.

a) For situation (a), it depends on the sampling method used and the representativeness of the sample. If the sample was selected randomly from the entire student population of your school and the sample size is sufficiently large, then it is reasonable to generalize the estimate to the population. However, if the sample was biased or not representative of the overall student population (e.g., only students from specific grades or majors), the estimate may not accurately reflect the percentage of students in the entire school who study at least two hours per night.

b) In situation (b), it is not reasonable to generalize from the average annual income of ambassadors to the United Nations to estimate the average per capita income for the world as a whole. Ambassadors to the United Nations represent specific countries and their income may not be representative of the income levels of the entire global population. Global income distribution is highly varied, with significant disparities between different countries and regions. To estimate the average per capita income for the world, a more representative and comprehensive sampling approach would be necessary.

c) Situation (c) involves a Gallup poll conducted in 1996, which sampled 235 U.S. residents ages 18 to 29 to estimate the percentage of all U.S. residents ages 19 to 29 who favored cuts in social spending. In this case, the generalization from the sample to the population is reasonable only if the sampling method used was unbiased and the sample was representative of the entire population of U.S. residents ages 19 to 29. However, it's worth noting that the data is quite outdated (from 1996), and societal opinions and attitudes may have changed significantly since then. So, while the generalization might have been reasonable at the time of the poll, it may not accurately reflect the current population's views on social spending.

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what is 0.1 is 1/10 of what number???

Answers

0.1 of 1/10 is...10.

Answer: 1

Step-by-step explanation:

0.1 is 1/10 of the number 1

Brainliest please? Im trying to get to Virtuoso

Marsha made a wreath for her front door. The diameter of the wreath is 12 inches.


What is the circumference of the wreath?

Answers

31pie hope it helps not look
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