8.h=7
108 18 what is h

The rate at which the distance between the two cars is increasing two hours later is 52 mi/h.

To determine the rate of change of the distance between the cars, we can use the concept of relative velocity. Since one car is moving south and the other is moving west, their velocities are perpendicular to each other. Thus, we can use the Pythagorean theorem to find the distance between them at any given time.

After two hours, the southbound car would have traveled 48 mi/h * 2 h = 96 miles, and the westbound car would have traveled 20 mi/h * 2 h = 40 miles. Therefore, the distance between the cars is the hypotenuse of a right triangle with sides 96 miles and 40 miles.

Using the Pythagorean theorem, the distance between the cars is √(96^2 + 40^2) = √(9216 + 1600) = √10816 = 104 miles.

Since two hours have passed, the rate at which the distance is increasing is 104 miles / 2 hours = 52 mi/h. Therefore, the distance between the cars is increasing at a rate of 52 mi/h.

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Answer: Answer And explanation in picture

Step-by-step explanation:

When two coins are flipped simultaneously 24 times, on average 12 times we will get a head and a tail.

For given question,

When two coins are tossed simultaneously, the sample space is as follows:

S = { HH, HT, TH, TT} where H denotes Head and T denotes tail.

Using the formula of probability,

P = Number of favorable outcomes/total number of outcomes,

we get,

P(HT) = 1/4

and

P(TH) = 1/4

We know that the occurrence of two mutually exclusive events is the sum of their individual probabilities.

So, P(Head on one and Tail on other)

= P(HT) + P(TH)

= 1/4 + 1/4

= 2/4

= 1/2

= 0.5

So, when two coins flipped simultaneously, the probability of flipping 2 coins and getting a head and a tail is 0.5

In this question, we need to find the number of times getting a head and a tail when two coins are flipped simultaneously 24 times

= 0.5 × 24

= 12

Therefore, When two coins are flipped simultaneously 24 times, on average 12 times we will get a head and a tail.

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Working together, they can complete the task in 4 hours and 48 minutes.

A certain amount of time (T) is taken to complete a certain work (W). The number of units of work done per unit time is called the rate of work (R). Hence, Work (W) = Rate (R) Time (T) Whenever some work is done, the total work itself can be taken as one unit.

Tracy needs 8 hours to complete the task.

Then we can find the ratio of work over time as:

1 task/8 hours = 1/8 task per hour.

This means that she can complete 1/8 of the task per hour.

Dave needs 12 hours to complete the task, then his ratio is:

1 task/12 hours = 1/12 task per hour.

This means that he can complete 1/12 of the task in one hour.

If they work together, then the ratios can be added:

R = \(\frac{1}{8}\) +  \(\frac{1}{12}\)

  = \(\frac{3+2}{24}\)

  = \(\frac{5}{24}\)

So, working together, in one hour they can complete  \(\frac{5}{24}\) of the task, now we can find the number of hours needed to complete the task as:

\(\frac{5}{24}\)×\(x\)= 1 task

x = \(\frac{24}{5}\) hours = 4.8 hours

knowing that an hour is 60 minutes, then 0.8 of an hour is 60*0.8 = 48 minutes.

Then x = 4 hours and 48 minutes.

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The solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

To fathom the given differential equation, xy'' + y' = 0, we will begin by expecting a control arrangement of the frame y = ∑(n=0 to ∞) a_nx^n, where a_n speaks to the coefficients to be decided.

Separating y with regard to x, we get:

\(y' = ∑(n=0 to ∞) a_n(nx^[(n-1))] = ∑(n=0 to ∞) na_nx^[(n-1)]\)

Separating y' with regard to x, we get:

\(y'' = ∑(n=0 to ∞) n(n-1)a_nx^[(n-2)]\)

Presently, we substitute these expressions for y and its subsidiaries into the differential condition:

\(x(∑(n=0 to ∞) n(n-1)a_nx^[(n-2))] + (∑(n=0 to ∞) na_nx^[(n-1))] =\)

After improving terms, we have:

\(∑(n=0 to ∞) n(n-1)a_nx^[(n-1)] + ∑(n=0 to ∞) na_nx^[n] =\)

Another, we compare the coefficients of like powers of x to zero, coming about in a boundless arrangement of conditions:

For n = 0: + a_0 = (condition 1)

For n = 1: + a_1 = (condition 2)

For n ≥ 2: n(n-1)a_n + na_n = (condition 3)

Disentangling condition 3, we have:

\(n^[2a]_n - n(a_n) =\)

n(n-1)a_n - na_n =

n(n-1 - 1)a_n =

(n(n-2)a_n) =

From equation 1, a_0 = 0, and from equation 2, a_1 = 0.

For n ≥ 2, we have two conceivable outcomes:

n(n-2) = 0, which gives n = or n = 2.

a_n = (minor arrangement)

So, the solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

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The net operating income will be $ 5000.

The profitability of real estate assets that produce income is evaluated using a formula known as net operating income (NOI). NOI is the total revenue from the asset less all running costs that are deemed to be absolutely required.

Here we have  

A product has a selling price of $10 per unit, variable expenses of $6 per unit, and total fixed costs of $35,000.

In total 10,000 units are sold  

The net operating income will be computed by Subtracting all expenditures from all money collected on the product.    

Net operating income = ($10 - $6) × 10000 - $ 35000

= ($10 - $6) × 10000 - $ 35000  

=  $ 40000 - $ 35000

= $ 5000    

Therefore,

The net operating income will be $ 5000.

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Answer:

Step-by-step explanation:

We can use proportions to solve for the height of the monument:

Let h be the height of the monument.

Then, we have:

h/12 = 3/4

Cross-multiplying, we get:

h = (12 x 3)/4 = 9 meters

Therefore, the height of the monument is 9 meters.

We can complete the sentence as follows: "A teragram is 10^21 times as large as a nanogram."

To complete the sentence, we can express the difference in magnitude between a teragram and a nanogram using a power of ten greater than 1.

Step 1: Understand the metric prefixes:

In the metric system, prefixes are used to indicate the magnitude of a unit. The prefix "tera" represents 10^12, which means a teragram is 10^12 grams. On the other hand, the prefix "nano" represents 10^-9, so a nanogram is 10^-9 grams.

Step 2: Determine the difference in magnitude:

To find the difference in magnitude between a teragram and a nanogram, we can compare their exponents of 10. Since the tera prefix has an exponent of 12 and the nano prefix has an exponent of -9, the difference in magnitude can be calculated as follows:

Difference in magnitude = 12 - (-9) = 12 + 9 = 21

Step 3: Express the difference in magnitude:

The difference in magnitude between a teragram and a nanogram is 21. This means that a teragram is 10^21 times larger than a nanogram. In other words, if you have 1 teragram, it is equivalent to 10^21 nanograms.

Therefore, we can complete the sentence as follows:

"A teragram is 10^21 times as large as a nanogram."

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Step-by-step explanation: Subtract the numbers

8x^2+4-12=8x^2-8

Anaswer: 8x^2-8

If this wasn't the right answer sorry

Answer:

8x^2+4-12=64x+4-12

64x+4-12= 4(16x-3)

hope it helps!!!!!

Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

Answer:

x = 0

Divide both sides by the numeric factor on the left side, then solve.

Answer:

x=0

Step-by-step explanation:

1. Solve

-5(2x-3)=15

-10x+15=15

-10x+15-15=15-15

-10x=0

-10x/-10=0/-10

x=0

2. Check

-5(2x0-3)=15

-5(0-3)=15

-5x-3=15

15=15

3. Answer

x=0

Answer:

yes

Step-by-step explanation:

If the number can be expressed as a fraction ( 27/16) , it is a rational number

The news agency should report margins of error of 3.81%, 3.62%, and 7.43% for the estimates of support in town A, town B, and the difference in support between the two towns, respectively.

To calculate the margin of error for each estimate, we can use the formula:

Margin of Error = \(z* (\sqrt{(p*(1-p)}/n))\)

where z* is the critical value of the standard normal distribution corresponding to the 95% confidence level (1.96), p is the proportion from the sample, and n is the sample size.

For the estimate of 45% support in town A:

Margin of Error = \(1.96 \times (\sqrt{(0.45*(1-0.45)}/900))\) = 0.0381 or 3.81%

For the estimate of 35% support in town B:

Margin of Error = \(1.96 \times(\sqrt{(0.35*(1-0.35)}/900))\)= 0.0362 or 3.62%

For the estimate of 10-point stronger support in town A than in town B:

We can calculate the margin of error as the sum of the margins of error for the estimates of support in town A and town B:

Margin of Error = 0.0381 + 0.0362 = 0.0743 or 7.43%

Margins refer to the space between the content of a document and the edges of the page. They are the blank areas that separate the text from the paper's edge. Margins are important in the design of documents as they provide an aesthetically pleasing and organized appearance while also increasing the readability of the text.

Margins can be adjusted in most word processing software to fit the needs of the user. Typically, standard margins for a document are one inch on all sides, but they can be adjusted to be narrower or wider depending on the content and purpose of the document. For example, a resume may have smaller margins to fit more information on a single page, while a formal letter may have larger margins to provide a more elegant appearance.

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Answer:

9 inches

Step-by-step explanation:

6.75/.75 = 9 inches

The term central location or central tendency relates to the way data tend to cluster around some middle or central value

It is a number located towards the center of the distribution of the values of a series of observations, that are called measures, in which the set of data is located. The most commonly used measures of central tendency are: mean, median and mode.

Statistics is a branch of mathematics that allows you to collect, organize and analyze data according to the need you have, for example: to obtain a result, compare information, make better decisions, among many other things.

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it must be A because it's is going down word

Answer:

Slope is negative

Step-by-step explanation:

from one point to the next, it goes down 1 (-1) and over 4 (4)

or, from one point it goes left 4 (-4) and up 1 (1) just depending on how tou look at it.

Answer and Step-by-step explanation:

The equation y = -2x + 4 does NOT belong.

This equation has a negative slope, while the other equations have a positive slope.

#teamtrees #PAW (Plant And Water)

Answer:

Its just subtraction and just add the integer (letter) at the end so the answer is 2.9a

Step-by-step explanation:

Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

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Answer:

19-13=6+1=7-14=-7+4=-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(a_{n}=a_{1}r^{n-1}\\0=848(0.75)^{n-1}\\or~(0.75)^{n-1}=0\\0.75<1\\so~(0.75)^{n-1} \rightarrow 0,if~n-1 \rightarrow ~\infty\)

\(or~n \rightarrow 1+\infty\\or~n \rightarrow \infty\)

Hence lake will never be free of pesticide.

La cantidad máxima de niños que pueden invitar Enrique y Silvia a la fiesta de su nieta, Sofía, es x = 10.

Enrique y Silvia van a dar una fiesta a su nieta Sofía y desean saber cuántos niños como máxi-mo deben invitar; el dinero que tienen está re-

presentado por D= $ 7 500x y los gastos están representados por G = $ 5 900x + 25. ​

Establecer la ecuación.

D = 7500x  -  G

7 500x - 5 900x - 25 = 0

Resolver la ecuación.

1 500x = 25

x = 10

Interpretar la solución.

La cantidad máxima de niños que pueden invitar Enrique y Silvia a la fiesta de su nieta, Sofía, es x = 10.

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Answer:

5/132

Step-by-step explanation:

x = (5/12)(1/11)

x = 5/132

The function is discontinuous at x=-2, x=0, x=2. The correct answer is B.

A function is said to be discontinuous at a point if it does not have a well-defined value at that point or if the left-hand limit and the right-hand limit at that point are not equal. Discontinuity can be classified as removable or non-removable. Without knowing the specific function, it is not possible to determine exactly where it is discontinuous. However, From the options provided B) x=-2, x=0, x=2 is the only option that lists all possible discontinuous points.

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The square root of 0.000169 using division method is  0.0130.

Given, 0.000169To find the square root of 0.000169 using division method:

Step 1: Pair the digits starting from the decimal point. If the number of digits in the decimal part is odd, then pair the digit preceding the decimal point to the leftmost digit.0. 00 01 69

Step 2: Starting from the left, we will pair up the digits in the decimal portion by putting a bar over a pair of digits. We will also pair up the digits to the left of the decimal point, if any, in the same way.0. 0 0|01| 69

Step 3: We have to find a number such that when it is multiplied by itself then the product must be less than or equal to 1.69. Clearly, 1 × 1 = 1 is less than 1.69.0. 0 1|01| 69- 1 | -| ---------| -| ------|1 69|--------------|1 69

Step 4: Bring down the next two decimal places 00. Multiply the divisor by 20 and write it as the new dividend below the last dividend. Double the quotient digit, put it in the quotient and guess a digit to be put at the end of the divisor to make it a new divisor.

The divisor now becomes the sum of the previous divisor and the new digit.0. 00 01 |01| 69 - 1 | -| ---------| -| ------|1 69|--------------|1 69. . . 4 0 .4× 40=160 (the largest number whose product with the quotient is less than 169.)0.

00 014|01| 69- 1 | 0.4| ---------| -| ------| 1 09|--------------|1 69

Step 5: Repeat the process till the required number of decimal places is obtained. We require the square root correct to four decimal places.0. 0001 69| --------------|0.0130 2 5 0 1 4 1 0 0 0 0 0 0|---------------|130The square root of 0.000169 using division method is 0.0130 (correct to 4 decimal places).Therefore, the correct option is 0.0130.

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The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].

Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.

Let A is a 3 x 5 matrix and B is a 5 x 7 matrix

We know that matrix multiplication of A and B is possible if

Number of columns of A = Number of rows of B

Since in the given problem

Number of columns of A = Number of rows of B = 5

So the product is possible

Now the product AB is a matrix of order 3 × 7

Now the order of the product AB is 3 × 7

If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.

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The amount of candy each person gets is given by the equation A = 1/20 of the candy

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount of candy each person receives is A

Now , the amount of candy = 1/5 of the candy

The number of friends = 4 friends

So , the amount of candy each person gets A = amount of candy / number of friends

Substituting the values in the equation , we get

The amount of candy each person gets A = ( 1/5 ) / 4

On simplifying the equation , we get

The amount of candy each person gets A = 1/20 of the candy

Hence , the equation is A = 1/20

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