if f(x)=x+15 and g(x)=4x^2 find g(-8)

Answer: Hope This Helps!

Step-by-step explanation:

Changes in air pressure are determined by a variety of forces, including the density and temperature of air masses. When air moves from between areas of high pressure and low pressure, wind directions and speeds may change. The driving force behind changes in air pressure and therefore the creation of wind is gravity.

Answer:

Option b: y = x^5

Step-by-step explanation:

The functions are:

a) y = 5*x

b) y = x^5

c) y = 3*x^3 + 10

d) y = 1000*x^3 + 1

This is really simple, here we need to know that when we have powers of x:

x^n and x^m

The one with the larger exponent will grow faster (specially for larger values of x)

Only with this, we can guess that the correct option is b.

But let's check that.

The other function that has the largest exponent (and also a very large coefficient) is option d

y = 1000*x^3 + 1

Now, if we evaluate both functions b) and d) in x = 1000, we get:

b) y = 1000^5

While in option d we have:

d) y = 1000*1000^3 + 1 = 1000^4 + 1

And clearly:

1000^5 > 1000^4 + 1

For larger values of x, this difference will be larger (you could also compare the function y = x^5 with the other ones for this value of x, and in all the cases you will see that option b is the larger one).

Then the correct option is b.

\( \rm log_{5}(125) \\ \rm log_{5}( {5}^{3} ) \\ \rm1 \cdot3 \\ 3 \\ \therefore \tt log_{5}(125) = 3\)

29 + 36 = 65 total pushups per day.

Multiply pushups per day by 7 days per week:

65 x 7 = 455 total pushups per week

Multiply pushups per week by number of weeks:

455 x 4 weeks = 1,820 total pushups.

Options of the matrices a, b, and d are nonsymmetric.

We have to give that,

It is provided that A and B are symmetric n × n matrices.

Symmetric matrices are those matrices that have equal dimensions, i.e. the number of rows is the same as the number of columns. They are also known as square matrices.

To multiply two matrices of different order, the number of rows of the first matrix must be the same as the number of columns of the second matrix.

Suppose X is a 2 × 3 matrix and Y is a 3 × 2.

Then the product AB will be a n × n matrix.

(a) A= C+CT

Thus the sum of matrix A and B will be a n × n matrix.

Thus, the matrix A is nonsymmetric.

(b) B = C-CT

So, matrix D will also be a n × n matrix.

Thus, the matrix D is non-symmetric.

(c) D = CTC = (CT) × C

Then the product CT will be a n × n matrix.

The next step would be to multiply CT and C.

Both are n × n matrices.

Thus, the matrix D is symmetric.

(d) E = CTC - CCT

Then the product CT will be a n × n matrix.

Similarly, the product CT will be a n × n matrix.

Thus, the matrix E is non-symmetric.

Similalry,

(e) F = (I +C)(I + CT

Thus, the matrix F is symmetric.

(f) G = (I +C)(I -CT)

Thus, the matrix G is symmetric.

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The complete question is,

1. Let C be a nonsymmetric n x n matrix. For each of the following, determine whether the given matrix must necessarily be symmetric or could possibly be nonsymmetric:

(a) A= C+CT

(b) B = C-CT

(c) D = CTC

(d) E = CTC - CCT

(e) F = (I +C)(I + CT

(f) G = (I +C)(I -CT)

The average velocity of  Fabiana's is 19 km/h.

Average velocity is defined as the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs.

function of Fabiana's position is given as;

x(t) = 19t + 17, at t = 2 sec and 3 sec

x(2) = 19(2) + 17 = 55 km

x(3) = 19(3) + 17 = 74 km

average velocity = Δx/Δt = (x₂ - x₁)/(t₂ - t₁)

average velocity = (74 km - 55 km)/(3 hr - 2 hr) = 19 km/h

Thus, the average velocity of  Fabiana's is 19 km/h.

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The two-sample z-test statistic for evaluating the null hypothesis that the percentage of students who support capital punishment did not change from 1970 to 2005 is -4.08 (rounded to two decimal places).

To calculate the two-sample z-test statistic, we need to compare the proportions of students who support capital punishment in 1970 and 2005. The null hypothesis states that the percentage of students who support capital punishment did not change.

Let p1 be the proportion of students who support capital punishment in 1970, and p2 be the proportion in 2005. We can calculate the sample proportions as p1 = 590/1000 = 0.59 and p2 = 350/1000 = 0.35.

The formula for the two-sample z-test statistic is given by z = (p1 - p2) / sqrt((p(1 - p)(1/n1 + 1/n2))), where p is the pooled proportion and n1 and n2 are the sample sizes.

To calculate p, we compute the pooled proportion as p = (p1n1 + p2n2) / (n1 + n2) = (0.591000 + 0.351000) / (1000 + 1000) = 0.47.

Substituting the values into the formula, we have z = (0.59 - 0.35) / sqrt((0.47*(1 - 0.47)(1/1000 + 1/1000))) = -4.08.

Therefore, the two-sample z-test statistic for evaluating the null hypothesis is -4.08 (rounded to two decimal places).

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Answer:

Step-by-step explanation:

From the second equation we get

Substituting x in the first equation

Then

Answer

The amount in the account after 5 years would be $137.

Continuous compound interest is a method of calculating the interest earned on a principal amount that is continuously reinvested

We can use the formula for continuous compound interest:

A = Pe^(rt)

where:

A = final amount

P = principal amount

e = Euler's number (approximately 2.71828)

r = annual interest rate (as a decimal)

t = time in years

In this case, we have:

P = $110

r = 0.041 (4.1% expressed as a decimal)

t = 5 years

Substituting these values into the formula, we get:

A = 110e^(0.0415)

A ≈ $136.69

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Answer:

Step-by-step explanation:

Refer to attached

Area of the triangle formula:

b is given: AB = 9 in

Line CD is added for h, finding its value:

Then finding the area:

Answer:

length is 36

Step-by-step explanation:

perimeter=2L+2W

This question is incomplete

Complete Question

A scientist poured 1.6 x 10³ milliliters of water into a container that already had 2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water. How many milliliters of liquid were in the container?

A.1.7 x 10⁴ milliliters

B.3.58 x 10⁴ milliliters

C.3.74 x 10⁴ milliliters

D.3.9 x 10⁴ milliliters

Answer:

C. 3.74 x 10⁴ milliliters

Step-by-step explanation:

The milliliters of liquid that WERE in the container = The milliliters of liquid that were in the container before adding 1.6 x 10³ milliliters of water

This equals to:

2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water.

Hence:

2.8 x 10⁴ milliliters of salt water + 9.4 x 10³ milliliters of sugar water

= (2.8 × 10⁴) + (9.4 × 10³)

= 37400

= 3.74 x 10⁴ milliliters

Therefore, option C is correct

Answer:

y = 6/7x + 68/7

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer: The Answer is 9 i'm really sure this is the answer

Answer:

0.25

Step-by-step explanation:

Answer:

The Correct Answer Is D. 0.25 I Did The Exam

Step-by-step explanation:

Answer:

3x-y=0

Step-by-step explanation:

81.3 marks is obtained by the student in psycology course

percentage of marks of  test that count for final marks =45 %

percentage of marks of quizzes that count for final marks =35 %

percentage of marks of papers that count for final marks =10 %

percentage of marks of final project that count for final marks =10 %

marks obtained by student in test = 75

marks obtained by student in quizzes = 85

marks obtained by student in papers =  88

marks obtained by student in final project = 90

Total marks obtained = \(\frac{45}{100} * 75 + \frac{35}{100} *85 + \frac{10}{100} * 88 +\frac{10}{100} *90\)

Total marks obtained = 33.75 + 29.75 + 8.8 + 9 = 81.3

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Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

Answer:

Step-by-step explanation:

The cars travel in opposite directions from the same point.

Each hour they travel:

After x hours they will be 425 miles apart:

combined speed

Time be t

Speed=Distance/Time

the inequality equation is

3(8 - 4x) < 6(x -5)

open the parentheses

3*8 - 3*4x < 6*x - 6*5

24 - 12x < 6x - 30

collect the like terms

24 + 30 < 6x + 12x

54 < 18x

divide both sides by 18

54/18 < 18x/18

3 < x

x > 3

The answer is x > 3

Answer:

3.8

Step-by-step explanation:

1. Use sine rule

d/sin(D) = f/sin(F) (d=EF, f=DE=3)

2. cross multiply

d=f(sin(D)/sin(F)) = 3(sin(75)/sin(50))=3.783

Answer:

  (b)  3.8

Step-by-step explanation:

Often, simple relations will help you solve geometry problems. Here, you only need to know that larger angles are opposite longer sides.

__

The angle opposite side EF is angle D, which is 75°. That angle is larger than angle F, which is opposite the side marked as having length 3.

This means EF > 3.

There is only one answer choice greater than 3. Choice B is 3.8.

  EF ≈ 3.8

______

The only "work" is remembering that larger angles are opposite longer sides.

This is a prospective cohort study.

We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

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Answer:

B. Let n = the number of DVDs rented; 20 + 4n = 6n; 10 videos

Step-by-step explanation:

Let n = number of DVDs to rent

Movie Mania = 20 + 4n

Hurricane = 6n

Equate the cost of renting a DVD in both stores

Movie Mania = Hurricane

20 + 4n = 6n

20 = 6n - 4n

20 = 2n

Divide both sides by 2

n = 20 / 2

= 10

n = 10

The correct answer is

B. Let n = the number of DVDs rented; 20 + 4n = 6n; 10 videos

Answer:

Answer:

associative

Step-by-step explanation:

Answer:

there are inifnite solutions

Step-by-step explanation:

Answer:X=-8

Explanation:

To determine the exact concentration of the solution made, one can divide the mass of the solute with the volume of the solution.

A solution is the substance formed by the mixture of solute in solvent. The solute may or may not be dissolved in the solution. One can determine the exact concentration of the solution if the mass of solute added in the specific volume of solution is known. If the solution is made by someone else, then its concentration can be determined by process of titration.

The concentration of a solution is expressed in the form of moles or grams per unit liter. If the solution is unknown and only its dissolved chemical is known, then titration will help in determining the closest value of concentration if performed without human error. In titration, the use of glassware that that is more precise than the flasks, beakers, and graduated cylinders are used.

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Refer to complete question below:

How do we determine concentration a solution? If it is a solution that we have made up, we can readily do the calculations required. But what if it is a solution that someone else has made? What technique can be used to gather information about a solution that we are given with no other information than the name of the chemical dissolved.

The decimals of a square root that would be rounded to an approximate value are √3 = 1.732 and √5 = 2.23

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The decimals are equivalent to a square root.

Example:

√5 = 2.23

This can be rounded to 2.

√3 = 1.732

This can be rounded to 1.7 or 2.

Thus,

The decimals of a square root are √5 = 2.23 and √3 = 1.732.

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The pattern in y = x² exhibits a nonlinear increase in y as x increases, forming a U-shaped curve, while the pattern in y = 15 + x shows a linear increase in y as x increases at a constant rate.

The patterns in the equations y = x² and y = 15 + x differ in terms of the direction of change. In the equation y = x², the pattern shows an increase in y as x increases.

As x increases from negative to positive values, the corresponding y values also increase, forming a symmetric U-shaped curve. The rate of increase for y becomes steeper as x moves further away from zero.

On the other hand, in the equation y = 15 + x, the pattern shows a linear increase in y as x increases. As x increases, the corresponding y values increase in a straight line.

The rate of increase for y remains constant at one unit per increase in x. This linear pattern reflects a constant upward shift of the graph as x increases.

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Answer:

Step-by-step explanation:

3 roots

namely -7/9,-1/4.-4/3