Plz hurry!!

Click the answer that shows the numbers in order from least to greatest.


A. 1.6, 0.9, 0.2, -0.8, -2.4

B. -0.8, -2.4, 0.2, 0.9, 1.6

C. -2.4, -0.8, 0.2, 0.9, 1.6

D. -0.8, 1.6, 0.9, -2.4, 0.2

Answer:

0.72>0.702

Step-by-step explanation:

Answer:

6 m/s

Step-by-step explanation:

divide the speed value by 3.6

Answer:

6m / s

Step-by-step explanation:

21600/3600

= 6m/s

This question is incomplete

Complete Question

Joe needs to transfer 28 quarts of oil into gallons containers joe calculated that he needs 112 containers but he made a mistake in his calculations identify and correct his error

Joe's error:

28 quarts × 4 quarts/ 1 gallon

= 28 quarts/1 × 4 quarts/ 1 gallon

= (28 × 4)/ ( 1 × 1) = 112 gallons

Answer:

7 gallons is the correct answer

Joe needs to transfer 28 quarts of oil into 7 gallons

Step-by-step explanation:

Joe's error:

28 quarts × 4 quarts/ 1 gallon

= 28 quarts/1 × 4 quarts/ 1 gallon

= (28 × 4)/ ( 1 × 1) = 112 gallons

Correcting Joe's error, we have:

4 quarts = 1 gallon

28 quarts = x

Cross Multiply

4 quarts × x = 28 quarts × 1 gallon

x = 28 quarts × 1 gallon/ 4 quarts

x = 7 gallons

= 28 quarts/x gallons × 1 gallon/4 quarts

= (28 × x)/ ( 1 /4) = 7 gallons

Therefore, Joe needs to transfer 28 quarts of oil into 7 gallons

The total number of hours that Laurie worked for the week is; 35 hours

The parameters given are;

Total number of hours worked for the week = 4s + 3 hours

Rate of earning = 2s + 4 dollars per hour

Gross Amount earned = $700

Thus;

(4s + 3)(2s + 4) = 700

8s² + 6s + 16s + 12 = 700

8s² + 22s + 12 = 700

8s² + 22s - 688 = 0

Solving this with an online quadratic calculator gives;

s = 8

Thus;

Total hours worked = 4(8) + 3 = 35 hours

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The token has eight possible moves: four cardinal directions (up, down, left, right) and four diagonal directions (left-up, right-up, left-down, right-down).

If we consider a token positioned on an arbitrary square of a grid, and we are allowed to move the token diagonally to the adjacent right-up square, we can determine the number of possible moves.

Let's assume the token is on a square in a grid, and let's label the directions as follows:

```

1  2  3

4  T  5

6  7  8

```

where T represents the token, and the numbers 1-8 represent the possible directions the token can move.

In this scenario, the token can move in the following ways:

1. Move left (direction 4)

2. Move right (direction 5)

3. Move up (direction 2)

4. Move down (direction 7)

5. Move diagonally left-up (direction 1)

6. Move diagonally right-up (direction 3)

7. Move diagonally left-down (direction 6)

8. Move diagonally right-down (direction 8)

Therefore, the token has eight possible moves: four cardinal directions (up, down, left, right) and four diagonal directions (left-up, right-up, left-down, right-down).

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Answer:

A

Step-by-step explanation:

Answer: x=12

Step-by-step explanation:

Answer:

Angle one is 115 degrees. Angle 2 is 65 Degrees

Step-by-step explanation:

Angle 1 is corresponding to 115 degrees and angle 2 is supplementary to angle 1 (180- 115= 65)  Hope you get a good grade :)

Answer:

Step-by-step explanation:

Let the integers be:

Their sum is 42:

The numbers are: 13, 14 and 15

The present worth of the given stream of cash flows is $14,226.24.

To calculate the present worth of the cash flows, we need to determine the present value of each individual cash flow and sum them up. The annuity starts 7 years from now, so we need to discount the cash flows to their present values.

The formula to calculate the present value of an annuity is:

PV = CF * (1 - (1 + r)^(-n)) / r

where PV is the present value, CF is the cash flow per period, r is the interest rate per period, and n is the number of periods.

In this case, the cash flow per period (CF) is $6,000, the interest rate (r) is 12% (or 0.12), and the number of periods (n) is 3.

Calculating the present value of each cash flow:

PV1 = $6,000 / (1 + 0.12)^8 = $2,870.56

PV2 = $6,000 / (1 + 0.12)^9 = $2,563.90

PV3 = $6,000 / (1 + 0.12)^10 = $2,791.78

Summing up the present values of the cash flows:

PV = PV1 + PV2 + PV3 = $2,870.56 + $2,563.90 + $2,791.78 = $8,226.24

Therefore, the present worth of the given stream of cash flows is $8,226.24.

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Based on the data, Alejandro had a greater speed than Titus.

The mean time of Titus = 7. 2 minutes,

The mean time of Alejandro = 7. 1 minutes,

Calculating their average speed, which is the reciprocal of the time it takes them to run a mile, will allow to reasonably compare Titus and Alejandro's total running speed.

Using the formula for average speed -

Average speed = 1 / time

Calculating the average speed of Titus -

Average speed = 1/ Time taken by Titus

= 1 / 7.2

= 0.1389 miles per minute

Calculating the average speed of Alejandro  -

Average speed = 1/ Time taken by Alejandaro

= 1 / 7.1

= 0.1408 miles per minute

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The fundamental set of solutions for the given differential equation is {e^(-2t), e^t}.

To find the fundamental set of solutions for the differential equation y'' + y' - 2y = 0 with the initial point t₀ = 0, we can follow the steps outlined in Theorem 3.2.5.

Find the characteristic equation:

The characteristic equation is obtained by substituting y = e^(rt) into the differential equation, where r is a constant:

r² + r - 2 = 0

Solve the characteristic equation:

Factoring the equation, we have:

(r + 2)(r - 1) = 0

Setting each factor equal to zero and solving for r, we get:

r₁ = -2

r₂ = 1

Determine the fundamental set of solutions:

The fundamental set of solutions is given by:

y₁(t) = e^(r₁t)

y₂(t) = e^(r₂t)

Substituting the values of r₁ and r₂, we have:

y₁(t) = e^(-2t)

y₂(t) = e^t

Therefore, the fundamental set of solutions for the given differential equation is {e^(-2t), e^t}.

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Answer:

8.5% tax rate

Step-by-step explanation:

17/200= 0.085 = 8.5%

Answer:

x = ⅔

Step-by-step explanation: 1. Subtract the numbers = 7 + x-15 = -22/3, -8 + x = -22/3. 2. Add the same term to both sides of the equation = -8 + x = - 22/3, -8 + x + 8 = - 22/3 + 8. 3. Simplify = Add the numbers, Add the numbers again, and x = 2/3

Answer: 296 with a remainder of 1 (I'm guessing this by mental math, btw, why not just use a calculator, the calc is your best chance for a right answer anyway)

Edit: Used calc, was close lol, 296.5 is the exact answer

Step-by-step explanation:

P.S: Question, is that supposed to be divided or square rooted?

Anyway, I'll explain it since I can't leave it hanging:

2*2 = 4 so 5-4 = 1 and bring 9 down, after that 2*9 = 18, so it becomes 1, and then bring down 3 for 13, and 6*2 = 12, so 13-12 = 1, and that is 296 with a remainder of 1.

The set corresponding to (a∪b)∩c is {3, 4, 5, 7, 9}.

To find the set corresponding to (a∪b)∩c, first perform the union of sets a and b, and then find the intersection with set c.

1. Union (a∪b):

a={x∈:x is a prime number}, b={4,7,9,11,13,14}.

Combine prime numbers and elements of set b:

{2, 3, 5, 7, 11, 13, 4, 7, 9, 11, 13, 14} and remove duplicates to get

{2, 3, 4, 5, 7, 9, 11, 13, 14}.

2. Intersection with c: (a∪b)∩c:

c={x∈:3≤x≤10}, meaning c={3, 4, 5, 6, 7, 8, 9, 10}.

Find the elements that are common between (a∪b) and c, so we get the set as {3, 4, 5, 7, 9}.

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Answer:

0.64 kilogram

Step-by-step explanation:

Two circles intersect at points A and B and have a common external tangent that is tangent to the circles at points T and U, M be the intersection of line AB and TU. If AB = 9 and BM = 3, then TU will be equal to 9.6.

In order to find the length of TU, We can use the Pythagorean theorem to find the length of TU. We know that AB = 9, and BM = 3, so the length of AM must be 6. We can then use the Pythagorean theorem to solve for TU:

TU = √(62 + 92) = √93 = 9.6.

Therefore, the length of TU is 9.6.

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The exact length of the curve. y = 3 + 4x^3/2, 0 ≤ x ≤ 1 is L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.

To find the length of the curve, we need to use the arc length formula:

L = ∫√(1+(dy/dx)^2) dx, where y = 3 + 4x^(3/2) and 0 ≤ x ≤ 1.

First, we need to find dy/dx:

dy/dx = (12x^(1/2))/2√(3 + 4x^(3/2))

dy/dx = 6x^(1/2)/√(3 + 4x^(3/2))

Now, we can substitute this into the arc length formula:

L = ∫√(1+(6x^(1/2)/√(3 + 4x^(3/2)))^2) dx, from 0 to 1.

Simplifying the inside of the square root, we get:

L = ∫√(1+(36x)/(3 + 4x^(3/2))) dx, from 0 to 1.

We can simplify this further by multiplying the numerator and denominator of the fraction by (3 - 4x^(3/2)):

L = ∫√(1+36x(3-4x^(3/2))/(9-16x^3)) dx, from 0 to 1.

Expanding the numerator, we get:

L = ∫√((9+108x-144x^(5/2))/(9-16x^3)) dx, from 0 to 1.

Simplifying the expression under the square root, we get:

L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.

We can evaluate this integral using numerical methods, such as Simpson's rule or the trapezoidal rule, to get an approximation of the length of the curve. The exact length of the curve cannot be expressed in a finite number of terms, but it can be approximated to any desired degree of accuracy using numerical methods.

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Answer: 5 cookies

Step-by-step explanation:  8 + .4c = 2.5 + 1.5c

8 + 0.4c = 2.5 + 1.5c

8 · 10 + 0.4c · 10 = 2.5 · 10 + 1.5c · 10

80 + 4c = 25 + 15c

4c = 15c - 55

4c - 15c = 15c - 55 - 15c

-11c = -55

c = 5

The probability of the adults being chosen this way by chance is less than 0.01 interprets that group is more likely to choose men over women

A group conducting a survey randomly selects adults in a certain region. Of the 2,500 adults selected, 1,684 are men. The men and women have an equal chance The result of the survey is significant at the 0.01 level which means that the probability of group selection being the result of chance is 0.01 or less because the event is least likely to happen the group is more likely to select men over women.

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Answer:

=[(2

2

)

3

×3

6

]×5

6

=2

6

×3

6

×5

6

=64×729×15625

=729000000

=3

6

×10

6

=30

6

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

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

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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To find the denominator of the expression

\($\frac{2^2}{3}-\frac{1}{3}$\)we need to first simplify the expression. We can rewrite the expression as

\($\frac{4}{3}-\frac{1}{3}$\)

which simplifies to

\($\frac{3}{3}$\)

The reason we can simplify the expression in this way is because both fractions have the same denominator of 3. When we subtract the two fractions, we simply subtract their numerators and keep the denominator the same.

The resulting fraction,

\($\frac{3}{3}$\)

is also known as the reduced or simplified form of the expression. This fraction is equivalent to the number 1, since any number divided by itself is equal to 1.

The denominator of the expression

\($\frac{2^2}{3}-\frac{1}{3}$\)

is 3, and the expression simplifies to

\($\frac{3}{3}$\)

or 1.

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The rate of change of the fox population when t = 7 is not provided in the . The rate of change of a population can be determined by taking the derivative of the population function with respect to time.

In this case, the population of foxes is given by P₁(t) = 500 + 40sin(πt) and the population of rabbits is given by P₂(t) = 5000 + 200cos(t). To find the rate of change at t = 7, we need to evaluate the derivatives of these functions at t = 7.

However, the options provided in the question do not mention the rate of change of the fox population. Therefore, it is not possible to determine the rate of change of the fox population based on the given information.

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Using the logarithm of the y values will enable you to model the data better than using the square root of the y values.

The following would be the best reason to prefer the least-squares regression line that uses x to predict log(y) out of the two least-squares regression lines calculated :

Transformation of variables is an excellent method of estimating regression lines.

In a case where a scatter plot of y versus x shows a positive non-linear association, the two transformation methods that can be attempted to linearize the association are using the logarithm of the y values and using the square root of the y values.

After the two transformations have been tried, two least-squares regression lines are calculated, one that uses x to predict log(y) and the other that uses x to predict y.

Therefore, the best reason to prefer the least-squares regression line that uses x to predict log(y) is that it would work effectively in linearizing the relationship between the variables.

Furthermore, in most cases, the regression line calculated using x to predict log(y) produces better results than the regression line calculated using x to predict y.

This is because it is easier to transform the y-values logarithmically to linearize them.

Additionally, logarithmic transformation can be used to model the growth of population and bacteria since their growth is approximately logarithmic.

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