Why does the government charge high taxes on gasoline?

Answer:

4x+4=6 I believe that's the answer

Answer:

32

Step-by-step explanation:

Biscuits at the start : 72

Number of biscuits given to his grandmother : 2/9 of 72

> 2/9 × 72

> 16

16 biscuits were given to his grandmother

Number of biscuits left now : 72 - 16

= 56

Number of biscuits given to his cousin : 3/7 of 56

> 3/7 × 56

> 24

Number of biscuits Abraham has now : 56 - 24

= 32

Abraham has 32 biscuits now, which is determined by the subtraction operation.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

As per the given situation, the required solution would be as:

Biscuits at the beginning: 72

Number of biscuits given to his grandmother: 2/9 of 72

⇒ 2/9 × 72

⇒ 16

16 biscuits were given to his grandmother

Number of biscuits left now: 72 - 16

⇒ 56

Number of biscuits given to his cousin: 3/7 of 56

⇒ 3/7 × 56

⇒ 24

The number of biscuits Abraham has now:

⇒ 56 - 24

Apply the subtraction operation, and we get

⇒ 32

Thus, he has 32 biscuits now.

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Answer:

B

Step-by-step explanation: Because for inverse functions, domain and range of functions exchange. In simple words, domain of function h(x) = range of inverse function & range of function h(x) = domain of inverse function.

Answer:

what are u needing??

Step-by-step explanation:

Of the 200, 44 failures during the first two years are to be expected.

Given;

A specific kind of vehicle has an exponential lifespan that is typically 8 years long. There are 200 of these new cars on a lot.

The probability of failure in the first 2 years is first computed here as:

P(T < 2) for  X = exp(1/8) as for exponential distribution, the parameter is the reciprocal of the mean. Therefore, now using the CDF for the exponential distribution, we get here;

⇒ 1 - \(e^\frac{-2}{8}\) = 0.2212

Therefore, 0.2212 is the probability here.

Now the expected number which fails in the first 2 years here is computed as;

⇒ 200 * 0.2212 = 44.24 is the required expected value here.

Hence, 44 of the 200 would you expect to fail in their first 2 years.

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Convolution of e(-t) and t*e(-9t) yields 1/(s+1)(s+9)2, which is the inverse Laplace transform.

A mathematical notion known as the convolution theorem connects the Laplace transform of two functions converging to the sum of their individual Laplace transforms.

Use the Convolution theorem to represent a function as a convolution of smaller functions, and then perform the inverse Laplace transform on each component to determine the function's inverse Laplace transform.

We have the function 1/(s+1)(s+9)2 in this situation. This function can be expressed as the convolution of the functions 1/(s+1) and 1/(s+9)2.

By using the equation L(-1)1/(s+a) = e(-at), we may determine the inverse Laplace transform of 1/(s+1). Therefore, e(-t) is the inverse Laplace transform of 1/(s+1).

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The lighter pumpkin weighs 3.12 kg, and the heavier pumpkin weighs 6.24 kg.

To solve this, we'll use the given information to set up an equation and then solve for the weight of each pumpkin.
Let the weight of the lighter pumpkin be x kg.

Since the heavier pumpkin is twice the weight of the lighter one, its weight would be 2x kg.
The combined weight of both pumpkins is 9.36 kg, so we can write an equation as follows:
x + 2x = 9.36
Now, we'll solve for x:
3x = 9.36
x = 9.36 / 3
x = 3.12 kg
Now that we have the weight of the lighter pumpkin (x = 3.12 kg), we can find the weight of the heavier pumpkin:
2x = 2(3.12) = 6.24 kg.

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If Morgan read 1 book in 2 months. then Morgan can read 1/2 book in one month.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that,

Morgan read 1 book in 2 months.

We need to find how many books can morgan read with a constant rate in one month.

To find this let us formulate an equation.

Let us consider x as books read by morgan in one month.

1/2=x/1

Apply Cross multiplication

1=2x

Divide both sides by 2.

1/2=x

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Answer:

imma say 45m

Step-by-step explanation:

im not sure but tell me if im wrong so i can fix it. thanks

Answer:

The original length of the edges are equal to 2 cm.

Step-by-step explanation:

The volume of a cube is given by the following expression:

\(V = a^3\)

Where "a" is the length of each edge of the cube. Assuming that the original cube had a length of "x", then its volume would be:

\(V_{original} = x^3\)

Since the edges of the cube got scaled by a factor of 2, then the new edges are "2*x" and the volume is:

\(V_{new} = (2*x)^3\\V_{new} = 8*x^3\\64 = 8*x^3\\x^3 = \frac{64}{8}\\x^3 = 8\\x = \sqrt[3]{8} = 2\)

The original length of the edges are equal to 2 cm.

Answer:

its going to be D (x,y) - (x-2,y-4)

Step-by-step explanation:

Answer:

f(2)=7

f(-1)=+1

Step-by-step explanation:

f (2)= 2³-2²+3 =8-4+3=7

f (-1)= (-1)³-(-1)²+3= -1- (+1) +3= -1-1+3=+1

For this problem, we are given the mean and standard deviation for the height of men. We need to calculate the minimum height to be considered in the top 10% of tallest men, and the maximum height to be considered in the shortest 15% of men.

The first step we need to solve this problem is to calculate the z-score. The z-score can be found by using the following expression:

For the first situation, we want a z-score for the top 10% of tallest men. This means that we need to go on the z-table and find the z-score that represents 90% of probability to the left because this will give us the minimum height to be at the 10% tallest. From the z-table we have:

Now we can use the z-score expression to find the value of x. We have:

The man should be at least 71.85 inches tall to be considered among the 10% of tallest men.

For the second situation, we have something similar. We need to find the maximum height for a man to be considered between the 15% of men. We need to go into the z-table and find the z-score that produces a result close to 0.15. We have:

Now we need to use the z-score expression to determine the height:

In order to be considered among the smallest men, someone needs to be 64.88 inches tall.

The two inequalities that define the shaded region in the diagram are:

y ≥ 4 and y < x

For the solid vertical line, the slope (m) is 0. The inequality sign we would use would be "≥"  because the shaded region is to the left and the boundary line is solid.

The y-intercept is at 4, therefore, substitute m = 0 and b = 4 into y ≥ mx + b:

y ≥ 0(x) + 4

y ≥ 4

For the dashed line:

m = change in y / change in x = 1/1 = 1

b = 0

the inequality sign to use is: "<"

Substitute m = 1 and b = 0 into y < mx + b:

y < 1(x) + 0

y < x

Thus, the two inequalities are:

y ≥ 4 and y < x

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is given that the number of bacteria doubles every hour.

Therefore, the number of bacteria after every hour will form a G.P.

with first term (a=30) and common ratio (r=2)

∴a

3

=ar

2

=(30)(2)

2

=120

Therefore, the number of bacteria at the end of 2nd hour will be 480.

a

5

=ar

4

=(30)(2)

4

=480

and a

n+1

=ar

n

=(30)(2)

n

Thus the number of bacteria at the end of nth hour will be (30)(2)

n

Answer:

(9+2)d

Step-by-step explanation:

The sum of 9+2

Times the variable, d

Answer:

Step-by-step explanation:

Answer:

216.

Step-by-step explanation:

Answer:

216 Bottles

Step-by-step explanation:

The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Answer:

hope this helps!! <3

Step-by-step explanation:

A fraction is represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

The numbers of large bowl sold at the fair is 20

Data;

To solve this problem, we need to write system of equations for this.

Let x represent the numbers of small ceramic bowl

let y represent the numbers of large ceramic bowl

\(x+y=32...eq (i)\\18x + 35y = 916 ...eq(ii)\)

From equation (i), let's make x the subject of formula

\(x + y = 32\\x = 32 - y...eq(iii)\)

Let's substitute equation (iii) into equation (ii)

\(18x+35y = 916\\x = 32 - y\\18(32 -y) + 35y = 916\\576- 18y + 35y = 916\\17y = 916 - 576\\17y = 340\\\frac{17y}{17} = \frac{340}{17}\\ y = 20\)

The numbers of large bowl sold at the fair is 20

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Answer:

105

Step-by-step explanation:

The iterated integral evaluates to approximately 37.45.

To evaluate the iterated integral ∫(from 0 to 3) ∫(from 0 to 9) y*cos(x) dy dx:

1. Start with the inner integral, which is with respect to y: ∫(from 0 to 9) y*cos(x) dy. Integrate y, giving (1/2)y^2*cos(x). Evaluate this from y=0 to y=9, resulting in (1/2)*81*cos(x).

2. Now, move to the outer integral, which is with respect to x: ∫(from 0 to 3) (1/2)*81*cos(x) dx. Integrate cos(x), giving 40.5*sin(x). Evaluate this from x=0 to x=3, resulting in 40.5*(sin(3) - sin(0)).

3. Finally, calculate the value: 40.5*(sin(3) - 0) ≈ 37.45.

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The invertible (AB)^-1 exists and is equal to B^-1A^-1. Yes, that is correct.

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Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.

To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.

Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:

Isotope Natural Abundance

Titanium-46 70%

Titanium-47 20%

Titanium-48 10%

To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.

Average Atomic Mass of Titanium:

(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)

=(32.2amu)+(9.4amu)+(4.8amu)

=46.4amu

Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).

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ok

I'll start, let me know if you understand.

4 cm ------------------------- 2 nights

88 cm ------------------------ x

x = (88 x 2) / 4

x = 176 / 4

x = 44 nights

Conclusion: Brittany needs 44 nights to complete the scarf

18. ∆PQR =~ ∆RPA ( by SAS )

19. ∆DQR =~ ∆PQR ( by AAS )

20. ∆ARO =~ ∆PQO ( by AAS )

Answer:

15/8 cup or \(1\frac{7}{8}\) cup

Step-by-step explanation:

3/4 = 0.75

Ratios:

\(\frac{0.75}{12} =\frac{x}{30} \\\\12x=22.5\\x= 15/8\)

Answer:

\(\frac{15}{8}\) cup

This can also be expressed as the following:

\(1\frac{7}{8}\) cup

Step-by-step explanation:

This problem involved ratios. A ratio is a way of expressing one value compared to another when the two values being compared are of a different unit. The problem gives one the general ratio of the following,

\(sauce (cups) : people (number)\)

Substitute in the given values, since one knows the units, it is unnecessary to write it,

\(\frac{3}{4}:12\)

In this problem, the ratio of cups of sauce to people is constant, therefore one can say that the amount of sauce that (12) people need is proportional to the amount of sauce that (30) people need. Thus, set up an equation to solve for the unknown amount of sauce that (30) people need. Let parameter (x) represent the unknown amount of sauce.

\(\frac{3}{4} : 12 = x : 30\)

Use cross products to simplify,

\((12)(x)=(\frac{3}{4})(30)\)

Simplify,

\(12x=\frac{45}{2}\)

Inverse operations,

\(12x = \frac{45}{2}\)

Multiply both sides by (2)

\(24x=45\)

Divide both sides by (24),

\(x=\frac{45}{24}\)

Simplify,

\(x=\frac{15}{8}\)