which is the correct form of the partial fraction decomposition for the expression startfraction 2 x minus 5 over x (x 4) endfraction?

(C) 1 mile/0.62 km conversion factor would be most useful in converting miles per gallon to kilometers per liter.

Therefore, (C) 1 mile/0.62 km conversion factor would be most useful in converting miles per gallon to kilometers per liter.

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The complete question is given below:
Which of the following conversion factors would be most useful in converting miles per gallon to kilometers per liter?

A) 1 gallon/4 quarts

B) 1 liter/1000 ml

C) 1 mile/0.62 km

D) 1 000 m/1 km

Answer:

A.

Step-by-step explanation:

the pattern goes as adding 3 then subtracting with 1,

1+3=4

4-1=3

3+3=6

6-1=5

so its like that now we have to continue it like:

5+3=8

8-1=7

so the pattern goes like 1,4,3,6,5,8,7

Answer:

x < 7/12

Step-by-step explanation:

1/4+x<5/6

Multiply each side by 12 to get rid of the fractions

12*1/4+12x<5/6*12

3 + 12x < 10

Subtract 3 from each side

3+12x-3 < 10-3

12x < 7

Divide by 12

12x/12 < 7/12

x < 7/12

Answer:

A

Step-by-step explanation:

Answer:

The answer is 9.2 or just 9

Answer:

I believe the question says "5j + 16 - 12(-9j - 4) - 12j"  I hope I'm correct because I have almost no idea what you typed.

If you did type "5j + 16 - 12(-9j - 4) - 12j" then your answer would be 133j + 52 I believe. You never put how you would like your problem to be solved, so I simplified.

Step-by-step explanation:

Hope this helps.

To find the length of the third side of the triangular birthday card, Sarah can use the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

In other words, 4 + 9 > x, so 4 + 9 > x is the inequality that is true.

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side. This means that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This theorem is useful for determining the possible lengths of the sides of a triangle, as well as for proving that a set of three lengths cannot form a triangle.

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Answer:

Step-by-step explanation:

sin930 degree

sin(180*6-150)

sin150 degree

The base angle for the isosceles triangle is 53°.

Any triangle with two sides that have the same length is said to be an isosceles triangle. If the two sides of a triangle are congruent, then the angle across from them must likewise be, according to the theorem that explains the isosceles triangle. As a result, the two angles of an isosceles triangle that are on opposite sides with equal numbers are equal in size.

Given base length = 6 and leg length = 5

draw a perpendicular to the base that divides the base into equal parts,

as shown in the image attached

let the base angle be Ф,

and using a cosine formula for the base angle

cosФ = base/hypotenuse

from construction  base = 3 and hypotenuse = 5

cosФ = 3/5

Ф = cos⁻¹(3/5)

Ф = 53.13°

Ф = 53° (approx)

Hence the base angle is 53°

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The correct answer is option A

Answer:

75 mm^2

Step-by-step explanation:

use pythageron theorem to find the area of the triangle

7^2=5^2+b^2

b=4.489mm

multiply the of b by the height (5mm) to get the area. usually for the area of a triangle you divide by two, but because there is an identical triangle on the other side, it will be doubled, so dividing it by 2 is redundant.

4.489*5 = 24.49mm^2

Make a rectangle in the middle of the shape, creating a triangle on the right, like they did on the left.  That right triangle is included in the calcualtion above. the rectangle is base *height. The base is 15 - b which was 4.489. therefore the rectanlge is

5*10.1 = 50.5mm^2

add the areas together: 50.5 +24.49 = 75 mm^2

Answer:

129°

Step-by-step explanation:

Sum of supplementary angles = 180°

One angle = 51°

Other angles = 180° - 51°

                      = 129°

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The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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The dog's total displacement was 8.83 m, and the total distance covered was 13.4 m.

The displacement of an object is represented by an arrow because it has both magnitude and direction.

By using the Pythagorean theorem, the magnitude of the displacement can be calculated.

The total distance is the sum of all the distances covered by the object. The magnitude of the individual displacements is used to calculate the total distance. The total distance and displacement of the dog can be calculated as follows

When calculating the total distance and displacement of the dog, the following diagram can be used. As shown in the diagram, the dog initially runs 2.8 m to the west of its owner and then runs 10.6 m to the east of its owner.

The magnitude of the displacement can be determined using the Pythagorean theorem, which is as follows:

total displacement=√(2.8^2+10.6^2)=√78=8.83 m

The displacement of the dog is 8.83 m.

In this case, the displacement is the vector that represents the dog's movement from its initial position to its final position.

To determine the total distance, the distance covered by the dog in each direction must be calculated and added together. The distance traveled to the west was 2.8 m, while the distance traveled to the east was 10.6 m.

As a result, the total distance covered by the dog is as follows:

total distance=2.8+10.6=13.4 m

As a result, the dog's total displacement was 8.83 m, and the total distance covered was 13.4 m.

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Answer: 7.7 miles

Step-by-step explanation:

2.5x + 5.75 = 25 (x = each mile traveled)

2.5x = 25 - 5.75

2.5x = 19.25

x = 7.7 miles

Therefore (b). A chi-square statistic is always positive as it is the sum of squared deviations from expected values.

However, it can contain fractions or decimal values as it is based on continuous data. The chi-square distribution is skewed to the right and its shape depends on the degrees of freedom. The possible values for a chi-square statistic depend on the sample size and the number of categories in the data. In general, larger sample sizes and more categories will result in larger chi-square values. It is important to note that a chi-square statistic cannot be negative as it is the sum of squared deviations. Therefore, options (a) and (c) are incorrect. In conclusion, the correct answer is (b) and it is important to understand the properties and interpretation of chi-square statistics in statistical analysis.

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Answer:

2/10 miles

Step-by-step explanation:

2 x 1/10 = 2/10

The given information is:

- The function of decay is:

Where A0 is the initial amount of strontium-90, A is the amount present at time t (in years).

- The initial amount is 800 grams.

a. What is the decay rate of strontium-90?

The given formula is written in the form:

Where r is the decay rate in decimal form, so:

The decay rate is -2.44%.

b. How much strontium-90 is left after 30 years?

Replace t=30 and solve:

There is 384.8 grams after 30 years.

c. When will only 200 g of strontium-90 be left?

A(t)=200g, then replace it and solve for t:

There will be 200 g left after 56.8 years.

d. What is the half-life of strontium-90?

The half-life is when A(t)=A0/2, then if we replace this into the decay formula we obtain:

The half-life of strontium-90 is 28.4 years.

To determine the probability that Alice will flip more heads than Bob, we can use the concept of binomial probability.

Let's consider the number of heads flipped by Alice as a random variable X, which follows a binomial distribution with parameters n = 1201 (number of trials) and p = 0.5 (probability of getting a head on a fair coin). Similarly, the number of heads flipped by Bob can be represented as a random variable Y, which follows a binomial distribution with parameters n = 1200 and p = 0.5.

To calculate the probability that Alice will flip more heads than Bob, we need to find P(X > Y). This can be done by summing up the probabilities of all possible values of X that are greater than the corresponding values of Y.

P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 1200 - 1200)

We can simplify this expression by noticing that P(X = k) = P(Y = k) for any given value of k.

Therefore, P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 601)

Using the binomial probability formula, the probability of getting exactly k heads out of n trials is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where C(n, k) represents the number of ways to choose k successes out of n trials, given by the binomial coefficient formula:

C(n, k) = n! / (k! * (n - k)!)

Now we can calculate the probability:

P(X > Y) = P(X = 1201) + P(X = 1200) + ... + P(X = 601)

        = [C(1201, 1201) * 0.5^1201 * 0.5^0] + [C(1201, 1200) * 0.5^1200 * 0.5^1] + ... + [C(1201, 601) * 0.5^601 * 0.5^600]

This calculation involves summing up a large number of terms, so it can be computationally intensive. However, we can approximate the probability by using methods such as Monte Carlo simulation or statistical software.

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Answer:

1 is 13

2 is 12

3 is 18

Step-by-step explanation:

Answer:

d=-7

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

d=-23.934375

Step-by-step explanation:

The estimates that is led from the data from a poll conducted by Travelocity , then the percentages are "computed from a sample"  .

The Data from the poll conducted by Travelocity was computed from a sample of travelers and was used to estimate the proportion of travelers

The travelers have certain habits or behaviors, such as checking work email (44%) taking a cell phone (32%) , or bringing a laptop computer on vacation (26%) .

The sample estimates are used to make inferences about the population.

Therefore , the given percentages are that they were  "computed from a sample" .

The given question is incomplete , the complete question is

Data from a poll conducted by Travelocity led to the following estimates:

Approximately 44% of travelers check work email while on vacation, about 32% take cell phones on vacation in order to stay connected with work, and about 26% bring a laptop computer on vacation.

Are the given percentages "population values" or were they "computed from a sample" ?

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The locations of the points in rectangular form are, respectively:

In this problem we must describe the locations of six points in a rectangular system of coordinates. Herein we define rectangular points as points with 3 coordinates related to each orthogonal axis. This kind of points are defined below:

(x, y, z)

Where:

Now we proceed to describe the location of each point:

A(x, y, z) = (0, 0, 0)

B(x, y, z) = (0, 0, 50)

C(x, y, z) = (0, 60, 0)

D(x, y, z) = (60, 0, 60)

E(x, y, z) = (0, 80, 80)

F(x, y, z) = (60, 40, 80)

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Answer:

7% my answer i think if im mistake please dont report me

Answer:

opotion 2!

Step-by-step explanation:

The value of x in the figure is 80 degree

In mathematics, an angle is a geometric shape formed by two rays, or line segments that share a common endpoint, called a vertex. The rays are often referred to as the arms or sides of the angle.

The size of an angle is measured in degrees, radians, or other units of measurement. and this is the wideness of the two rays.

In the figure the two rays are SM and SN and the value of the angle is 80 degrees.

Angles are an important concept in geometry and are used in many fields, including physics, engineering, and architecture.

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The money in the account at the end of the 4 years is $1034

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Now we are given that the initial amount deposited in the account is $1000

This account is giving 0.85% And we have to figure out how much amount will be there

We use compound interest formula to find the amount

\(A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034\)

Hence the amount will be after 4 years is $1034.

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Answer:

Your answer is 4 men

Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.

I NEED 5 MORE BRAINLIST ANSWER. HELP ME

Step-by-step explanation:

Total number of men=24

Number of men wearing red shirt= 1/2×24=12 men

Number of men wearing green shirt= 1/3×24=8 men

So total number of men wearing a shirt other than blue= 12+8=20 men

Number of men wearing blue shirt=24-20=4 men.

Hence the answer is 4 men.

Hope this helps you :)

Answer:

y-intercept = 20

y = 5x + 20

Step-by-step explanation:

Slope: 5

Point: (2,30)

y-intercept: 30 - (5)(2) = 30 - 10 = 20