A=1/2(b+c)h
Rearrange the formula to highlight the height.

Answer:

y = 6l + 43

Step-by-step explanation:

y=mx + b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

The y intercept is when x = 0, so the initial cost before buying the laces, which was the cost of the sneakers

b = 43

The slope is you purchase one pair of laces, it increases by 6 each time

m = 6

The y coordinate will represent the total cost spent

y

The x coordinate will represent the total number of laces purchase and we are told that the variable is l

x = l

combine:

y = 6l + 43

Answer:

Step-by-step explanation:

Full circle is:

Arc length of LM is:

Correct choice is C

Length

The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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Answer:

.16 or 4/25

Step-by-step explanation:

Answer:

4/25

Step-by-step explanation:

\(\frac{4}{5}\)×\(\frac{1}{5}\)

multiply tops together and denominators together and get \(\frac{4}{25}\)

Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

Answer:

x=9

Step-by-step explanation:

Thats your answer

Answer:

c=p-2a-2b

Step-by-step explanation:

P=2a+2b+c

-c=-p+2a+2b  divide both sides by -1

c=p-2a-2b

Answer:

3√2

Step-by-step explanation:

1(3√2)2=2n

Multiply 2 and 1 to give 2

2(3√2)=2n

Multiply 2 and 3√2=6√2

6√2=2n

Divide both sides by 2

n=6√2/2=3√2

Answer:

square root of 3

Step-by-step explanation:

...................

Recall that the complex norm (or modulus) of a complex number z = a + bi is defined as the nonnegative square root of the product of the complex number and its conjugate, i.e., |z| = √(z × z*), where z* is the complex conjugate of z.

Using this definition, we can calculate the complex norm of each of the given complex numbers as follows:

A complex number is a number that can be expressed in the form \(a + bi\), where a and b are real numbers, and i is the imaginary unit defined by \(i^{2} = -1\). The real part of the complex number is a, and the imaginary part is bi.

Complex numbers can be added, subtracted, multiplied, and divided in a manner similar to real numbers. They can also be graphed on a complex plane, where the horizontal axis represents the real part and the vertical axis represents the imaginary part.

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Answer:

The time period is 13 years.

Step-by-step explanation:

Interest rate (r )= 5% or 5%/12 = 0.42% per months

The investment amount (Present value) = $10500

Final expected amount (future value) = $20000

Since we have given the initial amount and final amount. Therefore we have to calculate the time period for which the initial amount is kept in the bank.

Use the below formula to find the time period.

Future value = present value (1 + r )^n

20000 = 10500(1+0.0042)^n

1.9047619 = (1+0.0042)^n

1.9047619 = 1.0042^n

n = 153.74 months.

Time in years = 153.74 / 12 = 12.8 years or 13 years (round off)

Answer:

  other notations work better

Step-by-step explanation:

You want to know why do we not define roots with negative indices:

  \(\displaystyle \sqrt[{-2}]{x}\)

The index in a surd represents the denominator of a fractional power:

  \(\sqrt[n]{x}=x^\frac{1}{n}\)

Using a negative number for a root index is the same as inverting the root:

  \(\sqrt[-n]{x}=x^{-\frac{1}{n}}=\dfrac{1}{x^{\frac{1}{n}}}=\dfrac{1}{\sqrt[n]{x}}\)

Essentially, there are more straightforward, less confusing and error-prone ways to write the same expression.

__

Additional comment

Some calculators handle this easily. Others may not.

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Answer: Im pretty sure its B

(/ ^_^/) .....

Hello !

7          v

--    =   ---

5          6

v = 7 x 6 ÷ 5 = 8.4 (it's a decimal)

Answer:

8.4

Step-by-step explanation:

Make v the subject of the 'formula, by placing 6 towards the other side.

This can be done by multiplying 6 in both sides, so the left side of the formula is 7/5 * 6, while the right is remained with v/1 (since 1/6 * 6 is 1).

Now v = 7/5 * 6 which equals to: 8.4.

Question also says round to the nearest tenth, 8.4 is already rounded to the nearest tenth so the final answer is 8.4

Answer:

b

Step-by-step explanation:

Answer:

\(n = \frac{1300}{5.50}\)

\(n = 236\)

Step-by-step explanation:

Given

The cost of printing one calendars \(= 5.5\) dollars

The one time charge of taking photo \(= 200\) dollars

The total sum of money with the club \(= 1500\) dollars

The total sum of money going into printing of calendars \(= 1500 -200 = 1300\) dollars

The total number of calendars that can be printed with remaining \(1300\) dollars is equal to

\(n = \frac{1300}{5.50}\)

\(n = 236\)

Answer:

Height of tank = 50cm

Step-by-step explanation:

Volume of water from tank that the water is 10cm down is 84000cm³

Length = 60cm

Width = 35cm

Height of water = x

Volume = length* width* height

Volume= 84000cm³

84000 = 60*35*x

84000= 2100x

84000/2100= x

40 = x

Height of water= 40cm

Height of tank I = height of water+ 10cm

Height of tank= 40+10= 50cm

Height of tank = 50cm

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

Answer:

Rn-222

Step-by-step explanation:

this decay takes specified step therefore Rn-222is not a decaying process

The nuclide that could not be involved in this decay series is U-239 (Option B).

A decay series for a nuclide is a sequence of radioactive decay that a particular radioactive isotope undergoes until it reaches a stable form. This sequence of decay is known as a decay chain or radioactive series.

The decay series from ²³⁸₉₂U to ²⁰⁶₈₂Pb involves a series of alpha and beta decays, producing a chain of daughter nuclides.

Each daughter nuclide in the chain is itself radioactive and decays into the next daughter nuclide until the stable nuclide ²⁰⁶₈₂Pb is reached.

A) Th-234: This nuclide is produced by the alpha decay of ²³⁸₉₂U and can decay into the next nuclide in the chain, Pa-234, by beta decay. Therefore, Th-234 can be involved in this decay series.

B) U-239: This nuclide is not produced by the alpha decay of ²³⁸₉₂U and cannot be involved in this decay series.

C) Po-218: This nuclide is produced by the alpha decay of ²²⁶₈₈Ra, which is a daughter nuclide in the decay series. Po-218 can decay into Pb-214, which is another daughter nuclide in the decay series. Therefore, Po-218 can be involved in this decay series.

D) Bi-214: This nuclide is produced by the beta decay of Po-214, which is a daughter nuclide in the decay series. Bi-214 can decay into Po-214 or Tl-210, which are both daughter nuclides in the decay series. Therefore, Bi-214 can be involved in this decay series.

E) Rn-222: This nuclide is produced by the alpha decay of ²²⁶₈₈Ra, which is a daughter nuclide in the decay series. Rn-222 can decay into Po-218, which is another daughter nuclide in the decay series. Therefore, Rn-222 can be involved in this decay series.

Therefore, U-239 is the required nuclide.

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The number of tiles is 96

From the question, we have

The width of the room is 16 feet, 8 inches and the client has chosen a square tile that measures 4 inches on each side.

16 feet = 192 inches

Number of tiles = (192*8)/(4*4)

= 96 tiles

The number of tiles is 96.

Multiplication:

The product of two or more numbers is computed by mathematicians using multiplication. In everyday life, it is a basic mathematical operation that is frequently used. We employ multiplication when we must combine groups of like sizes. The operation of multiplication serves as a representation of the fundamental idea of adding the same number repeatedly. The product of two or more numbers is what is obtained when those numbers are multiplied, and the factors are the quantities that are multiplied. Multiplying the numbers simplifies the process of adding the same number repeated.

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Answer:a

Step-by-step explanation:

The function h(x) is increasing on the interval (5, ∞).

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

The function h(x) = |x − 5| + 2 is increasing on an interval where the derivative is positive.

If x < 5, then h(x) = -(x-5) + 2 = 7-x, and if x > 5, then h(x) = x - 5 + 2 = x - 3. Thus,

h'(x) =\(\left \{ {{ -1, for x < 5} \atop { 1, for x > 5}} \right.\)

Since h'(x) is positive for all x > 5, the function h(x) is increasing on the interval (5, ∞).

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Complete question:

On what interval is the function h(x) = |x − 5| + 2 increasing?

EXPLANATION:

We are given a bag of marbles and the conditions are;

5 blue marbles

11 red marbles

14 green marbles

Total of 30 marbles.

To calculate the probability of an event such as the one in this experiment, we shall use the formula;

Marbles are now chosen at random;

The probability of getting a red marble will be;

Note that the number of all possible outcomes is 30 since there are 30 marbles in all (regardless of the color).

The probability of getting a green marble would now be dependent on a total of 29 marbles. Note that 1 marble has been chosen already, which means our experiment now has a total possible outcome of 29.

At this point we should note that when we need to find the probability of one event and then another, what we have is a product of probabilities.

Therefore, the probability of getting a red and then a green marble when two marbles are chosen, will be;

The probability of getting a red or a green marble when one marble is chosen is calculated as follows;

The probability of one event or the other occuring is simply an addition of probabilities.

Therefore, we would have;

Take note that one marble is drawn and NOT two like the first experiment.

ANSWER:

The statement that is true about the proportional relationship is that; The time required to paint a house varies directly with the number of painters.

The parameters are;

p represents the number of painters.

h represent the number of hours required to paint the house

In this case, the  number of hours will be the output variable while the number of painters will be the input variable. Thus, we will have the relationship;

h = kp

where k is the constant of proportionality

When 2 painters are used, it takes 15 hours to paint and as such;

k = 15/2

k = 7.5 hours per painter

When 6 painters are used, it takes 5 hours to paint. Thus;

k = 5/6

k = 0.833 hours per painter

Thus, we can say that the time required to paint a house varies directly with the number of painters.

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Answer:

0

Step-by-step explanation:

slope= (y2-y1)/(x2-x1)

= [-2-(-2)]/[9-3]

=[-2+2]/6

=0/6

=0

Hope it helps:)

Answer:

see below

Step-by-step explanation:

a  R=k(L/A)

Substitute what we know into the equation

.08 = k (100/.05)

.08 = k 2000

Divide each side by 2000

.08/2000 = k

.00004 = k

R=.00004 (L/A)

b R=.00004 (L/A)

We know L = 4000 and A = .02

R=.00004 (4000/.02)

R = 8

If Roberta took two tests. She scored 10 points more on the second test. she score 70 on the second test.

Average score = (x+y)/2

he scored 10 points less on the second test than he did on the first.

y = x - 10

Replace y with x-10

(x + x - 10) / 2

(2x-10)/2

Average score on both tests is 75

(2x-10)/2 = 75

Multiply both sides of this equation by 2

2x-10 = 150

Add 10 to both sides

2x = 160

Divide both sides  by 2x

x = 160/2

x = 80 (She got 80 on the first test)

He got 80 - 10 = 70 (She got 70 on the second test)

(80+ 70) / 2 = 150/2 = 75 (She got average  of 75 on both tests)

Therefore she scored 70 on the second test is your solution.

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The slope is m1 = -3

m is equal to 4.5

Answer:

Step-by-step explanation:

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