Select the correct answer.
Exponential function f is represented by the table.

x -2 -1 0 1 2
f(x) -46 -22 -10 -4 -1

Function g is represented by the equation.

Which statement correctly compares the two functions on the interval [-1, 2]?

A. Both functions are increasing, but function g increases at a faster average rate.
B. Only function f is increasing, and only function f is negative.
C. Both functions are increasing, but function f increases at a faster average rate.
D. Only function f is increasing, but both functions are negative.

Answer:

It costs 2.25 to rent a movie

Step-by-step explanation:

11.50-4.75=6.75

6.75/3=2.25

Answer:

if $700 is sales then answer would be $513.50

Step-by-step explanation:

5.5% of 700 = 38.5

475+38.5=513.50

Answer:

No solution

Step-by-step explanation:

Data provided in the question related to inequalities are as follows

\(y>\frac{3}{2}x-1\\\\)

\(y<\frac{3}{2}x-1\)

Now the related equation for both inequalities is

\(y=\frac{3}{2}x-1\)

When x=0,

\(y=\frac{3}{2}(0)-1=-1\)

When x = 2,

\(y=\frac{3}{2}(2)-1=2\)

This represents that the both lines are passed through(0,-1) and (2,2).

In indicates both line passes through (0,-1) and (2,2). Everything is colored to the right of the first line and everything is colored to the left of the line. It implies there is no feasible region to the inequalities.

The ">" and "<" symbols of inequalities It indicates the points on the line are not part of the solution set.

Answer:

No solution

Step-by-step explanation:

Answer:

and below

Step-by-step explanation:

33a+21c = 228

a+b = 8

solving the equation b= 3 a =5

Answer:

12d+3

Step-by-step explanation: multiply 3x4d and 3x1 and you get 12d+3

Answer:

12d + 3

you have to multiply 3 times both of the numbers

The distance between the base of the string and the base of the mast of the sailboat is 6.24.

Here we have to find the distance from the base of the mast that should be attached to the end of the light string.

Data given:

length of the string = 20 foot

length of the mast of the sailboat = 19 foot

Distance between the base of the mast and the light string = \(\sqrt{20^{2} - 19^{2} }\)

                                                                                             = \(\sqrt{400 - 361}\)

                                                                                             = √39

                                                                                             = 6.245

Therefore the distance between the string and the mast is 6.24.

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Subtract the deductible from the total:

350 - 150 = 200

Takashi then needs to pay 20% of what is left.

200 x 0.20 = 40

Takashi has to pay the 150 deductible plus 40 for a total of $190

Answer:

x=-8

Step-by-step explanation:

x/4=-2

x=-8

Answer:

f(x)=5x[x(2x-6)-6(2x-6)]

=5x[2x^2-6x-12x+36]

=5x[2x^2-18x+36]

=10x^3-90x^2+180x

Answer:

x = 6

Step-by-step explanation:

If A, B and C lies on a straight line in order, then;

AB+BC = AC

x+12+2x-4 = 26

x+2x+12-4 =26

3x+8 = 26

3x = 26-8

3x = 18

x = 18/3

x = 6

Hence the value of x is 6

The prosecutor claims that there is a 1% chance that the defendant would have the crime blood type if he were innocent, and thus, there is a 99% chance that he is guilty.

This is a fallacy known as the prosecutor's fallacy.The prosecutor's fallacy is an error in statistical reasoning that occurs when the probability of an event occurring given a particular hypothesis is incorrectly equated with the probability of the hypothesis given the event.

It is a common mistake in legal proceedings and forensic science.According to the prosecutor's argument, the probability of the defendant being innocent given the blood evidence is only 1%, while the probability of him being guilty is 99%. This argument is invalid because it equates the conditional probability of the hypothesis (the defendant being innocent or guilty) given the evidence with the inverse probability of the evidence given the hypothesis.

In other words, the prosecutor has taken the likelihood of observing the blood evidence given that the defendant is innocent and used it as evidence that the defendant is guilty. This is a logical fallacy, as it fails to take into account other factors that could account for the presence of the blood evidence and ignores the possibility that the defendant may be innocent. Therefore, the prosecutor's argument is wrong, and his conclusion that the defendant is guilty cannot be justified by the evidence.

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Step-by-step explanation:

\( \frac{dy}{dx} = \frac{1}{ {(6 - 3x)}^{4} } \times {4(6 - 3x)}^{3} ( - 3) \\ = \frac{ - 12 {(6 - 3x)}^{3} }{ {(6 - 3x)}^{4} } \\ = - \frac{12}{6 - 3x} \)

I hope I'm correct. I've never learnt differentiation for log and exponents before

The two inequalities that represent the constraints in this situation are

r + c >= 80 and 1.45r + 0.65c <= 200

Let r be the number of roses and c be the number of carnations Victor buys.

So, we have

Total number of flowers: r + c >= 80

Victor has $200 to spend on flowers for the school celebration.

Roses cost $1.45 each and carnations cost $0.65 each.

So, we have

Total spending: 1.45r + 0.65c <= 200

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Answer:

common difference is 0.5

first term is 5

Step-by-step explanation:

use the formula for the nth term of an ap Tn=a+(n-1)d

T12=10.5

T18=13.5

therefore come up with two equations

T12=a+(12-1)d

10.5=a+11d(1st equation)

T18=a+(18-1)d

13.5=a+17d(2nd equation)

then solve both as a simultaneous equation

a+11d=10.5

a+17d=13.5

-6d/-6=-3/-6

d=0.5

use one of the equations to find the first term

a+11(0.5)=10.5

a+5.5=10.5

a=10.5-5.5

a=5

I hope this helps

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Answer: 3321

Step-by-step explanation: 4100 * 0.19= 779

4100-779=3321

Answer:

Luis 19, Santiago 9

Step-by-step explanation:

\(L = S +10\\2L=S+29\)

Restamos a la segunda ecuación la primera ecuación:

\(L=19\)

Luis tiene 19 años

Para la edad de Santiago usamos la primera ecuación:

\(L=S+10\\19=S+10\)

\(S=19-10\\S=9\)

Santiago tiene 9 años

Hope this helps.

The expression is simplified to - 13x + 7y - 7 = 0

Algebraic expressions are expressions made up  of variables, constants, factors, and coefficients.

They also consist of mathematical operations such as addition, subtraction, division, multiplication, etc

Given the expression;

-5x + 7y = 8x + 7

collect like terms

-5x - 8x + 7y = 7

add like terms

-13x + 7y =7

equate the equation to zero

- 13x + 7y - 7 = 0

Thus, the expression is simplified to - 13x + 7y - 7 = 0

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Answer:

D

Step-by-step explanation:

So when you translate triangle ABC, you have to subtract 2 from each part of the coordinate, aka move it 2 to the left and 2 down.

Therefore, it would be D

Hope that helps! :D

Answer:

198

Step-by-step explanation:

27/9 becomes three and then there is no need to divide 198 by three because it is being multiplied by three

Answer:

198

Step-by-step explanation:

27/9= 3

198/3= 66

66 x 3= 198

Answer: 35/50 or 70%

Step-by-step explanation: Add all the coins together: 12+15+23=50

so the probability = 12/50 + 23 nickels = 35/50 ( 0.7)

The set of all 2×3 matrices with entries from ℝ, where each row of entries sums to zero, is indeed a vector space.

To determine if the set of 2×3 matrices with entries from ℝ, where each row sums to zero, forms a vector space, we need to verify if it satisfies the necessary properties of a vector space. These properties include closure under addition and scalar multiplication, associativity, commutativity, existence of a zero vector, existence of additive inverses, and distributive properties.

To check closure under addition, we need to ensure that the sum of any two matrices from the given set is also a matrix in the set. Let's take two arbitrary matrices A and B from the set. Each row of A and B sums to zero. Now, when we add corresponding entries of A and B, the resulting matrix C will also have rows that sum to zero. Thus, the set is closed under addition.

For closure under scalar multiplication, we need to verify that multiplying any matrix from the set by a scalar also produces a matrix within the set. Let's consider an arbitrary matrix A from the set and a scalar c from ℝ. When we multiply each entry of A by c, the resulting matrix cA will also have rows that sum to zero. Therefore, the set is closed under scalar multiplication.

Matrix addition is associative, meaning that for any matrices A, B, and C in the set, (A + B) + C = A + (B + C). This property holds true for matrices in this set since addition of matrices follows the same rules regardless of their row sums.

Matrix addition is commutative, meaning that for any matrices A and B in the set, A + B = B + A. This property also holds true for matrices in this set because the order of addition does not affect the row sums of the resulting matrix.

A zero vector is an element of the set that when added to any other matrix in the set, leaves the other matrix unchanged. In this case, the zero vector is a 2×3 matrix with all entries equal to zero. When we add this zero matrix to any other matrix in the set, the resulting matrix still has rows that sum to zero. Hence, the set contains a zero vector.

For every matrix A in the set, there must exist an additive inverse -A in the set such that A + (-A) = 0. Since each row of A sums to zero, the additive inverse -A will also have rows that sum to zero. Therefore, the set contains additive inverses.

The set needs to satisfy the distributive properties of scalar multiplication over addition and scalar multiplication over scalar addition. These properties hold true for matrices in this set, as the row sums are preserved when performing these operations.

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Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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answer:

9 po

explanation:

:)

Answer:

\(3+2\left(2+1\right)\)

\((2+1)=3\)

\(3+2\times \:3\)

\(3+6\)

\(9\)

Unit rate

Answer:

1½ miles/day .

Step-by-step explanation:

To find:-

Answer:-

It is given that the crew made 8¼ miles of road in 5½ days . To find the rate of work done , simply divide the total length of road nade by total time taken . That would be , ( rate is represented by "r" . )

\(:\implies \sf r = 8\dfrac{1}{4}\div 5\dfrac{1}{2} \ miles/day\\\)

Convert the mixed fraction into improper fraction.

\(:\implies \sf r = \dfrac{33}{4}\div \dfrac{11}{2} \ miles/day \\\)

For dividing them , multiply the reciprocal of 11/2 by 33/4 as ,

\(:\implies \sf r = \dfrac{33}{4}\times \dfrac{2}{11} \ miles/day\\\)

\(:\implies \sf r = \dfrac{3}{2} \ miles/day \\\)

\(:\implies \sf \pink{ r = 1\dfrac{1}{2}\ miles/day } \\\)

Hence the unit rate of constructing the road is 1½ miles/day .

Answer:

A

Step-by-step explanation:

sin 30 = y/7

Sin is being used and there is only one option with sin in it, so that is the right one.

An equation that relates the lengths of the sides of the triangle is (2 + y)² + y² = 15².

The dimensions of this triangle are 9.56 cm by 11.56 cm by 15 cm.

In Mathematics and Geometry, Pythagorean's theorem is modeled or represented by the following mathematical equation (formula):

x² + y² = z²

Where:

x, y, and z represents the length of sides or side lengths of any right-angled triangle.

Based on the information provided about the side lengths of this right-angled triangle (one leg is 2 feet longer than the other leg), we have the following equation:

x = 2 + y

By substituting the side lengths and solving the quadratic equation, we have:

x² + y² = z²

(2 + y)² + y² = 15²

4 + 4y + y² + y² = 225

2y² + 4y - 221 = 0

y = 9.56 cm or y = -11.56 cm

x = 2 + y = 2 + 9.56 = 11.56 cm.

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Answer:

I had to screenshot from my computer because it said (you have an inappropriate word or link in your answer)    

we do things called culture monday at our school where we write about a problem and then do a discussion on it in the classroom

this was mine so nooooo plagiarism or anything.

please mark brainliest......

Answer:

World War II started on September 1st, 1939, a decade after America’s stock market crash and downfall of the economy, which was in 1929, when Germany, led by a man born in Austria called Adolf Hitler, invaded Poland. France and England immediately declared war on Germany and Germany’s allies.

Germany had two allies, Japan and Italy, Italy mostly provided food and supplies, while Japan provided manpower, along with Germany. Germany, Japan, and Italy were called the Axis powers, and England, Russia (Then called the Soviet Union), and America (When America joined the war), along with many other countries, such as China and France (Except for the four years which Germany occupied France, 1940--1944), were called the Allied powers.

Germany invaded and occupied Austria, Belgium, France, Norway, Luxembourg, Greece, Czechoslovakia, Greece, Denmark, Holland, Hungary, the Netherlands, and many other countries with the help of Italy and Japan.

The United States wanted to be neutral through World War II like the Irish and Swiss, but the Axis Powers did not let this happen. Instead, Japan bombed Pearl Harbor and utterly destroyed and sunk many ships, so the United States had no choice but to join the war and the Allied forces.

The United States both lost and won many battles, and Germany was losing battles against the Soviet Union and England. Germany lost many battles in the Soviet Union, which was fought in harsh and bitter cold, and also lost the Battle of Britain fought in the skies over England between Britain’s Royal Air Force (RAF) and Germany’s Luftwaffe.

Many people died as a result of the Battle of Britain by bombs and flying shrapnel. In order to try to get their country back to normal, Great Britain started to ration food, drafted men over eighteen to go to the war front, made shelters all over England, in cities, towns, even in the country, in case of an air raid. The Battle of Britain was mostly fought in the skies of London, but enemy planes heading towards London to fight might drop a bomb to wipe away towns, cities, or a part of country off the map.

Germany soon retreated from Great Britain and thought that England would surrender with the rest when Germany conquered and ruled the world, which was Germany’s goal, but England, after some recovery, fought Germany as hard as ever, angered by the people and planes lost because of the Battle of Britain.

In the middle of this, President Franklin Delano Roosevelt died because of a mixture of bad health, too much stress, and his polio. Americans grieved for President Roosevelt, and elected a new president, President Harry Truman.

With forces fighting with both the Soviet Union and England, and later fighting on D-Day, Germany could not last for long, even with its two allies. But the number of allies Germany had soon reduced to one, for Italy joined the Allied powers, betraying the Axis Powers. Germany  desperately tried to fight back the forces of the Allied powers, but soon surrendered days after Adolf Hitler’s death, on May 8th, 1945.

Even when its ally Germany had surrendered and Italy had gone over to the Allies, Japan still fought, even though there was very little chance they would win. This was a bad idea, an idea which would change history. The Allied powers turned their full attention on defeating Japan, which was a bad thing, since Japan could only take over a few islands in the Pacific belonging to the United States and could not defeat any others in the beginning when the Allied powers’ attention was divided. As a result, many, at least hundreds, died, deaths that were not even necessary. The United States dropped two atomic bombs from one of America’s bomber planes on Japan’s two major cities, Hiroshima and Nagasaki days apart, so Japan surrendered, unable to lose any more people then it had already.

The two atomic bombs were built in the midst of fighting and stress of World War II in Manhattan, New York by a group of people who specialized in physics, math, and chemistry. The atomic bomb’s code name was: The Manhattan Project. The Manhattan Project, when done and ready, after dropped from an American bomber plane, killed over a hundred thousand Japanese in the two major cities Hiroshima and Nagasaki, most of them regular Japanese civilians going about their daily life.

World War II was a very important war and time period that changed the world. It changed the human race. The atomic bomb, invented in World War II, soon led other countries, such as England, France, the Soviet Union (Later known as Russia), and China to build it too, which gave these countries a huge advantage in war. America’s stock market bounced back. President Harry Truman became popular for ending World War II.

Step-by-step explanation:

Sorry I'm late

803 words

The sound intensity level should be decreased by 2 dB to carry the studio into consistency with the rules.

A decrease of 2 dB can be accomplished by one or the other by closing down a portion of the machines (since the sound intensity level declines by 6 dB for each splitting of the sound power) or by introducing sound-sealing materials.

Thus, to carry the studio consistent with the rules, 16 machines would need to be closed down.

It's vital to follow well-being and security rules in the working environment to guarantee the prosperity of representatives and forestall hearing harm. Decreasing the number of machines or introducing soundproofing materials can bring the studio into consistency.

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Answer:

4+7(11)

Step-by-step explanation:

the square root of 121 is 11 so it would be 4+7(11)

Answer:

4 + 7 × 11

Step-by-step explanation:

\(4 + 7 \sqrt{ {5}^{3} - 4} \)

\( = 4 + 7 \sqrt{125 - 4} \)

\( = 4 + 7 \sqrt{121} \)

simplify the square root of 121

\( \boxed{\green{\boxed{\bold{= 4 + 7 \times 11}}}}\)

\( = 4 + 77\)

\( = 81\)

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