A car travels at a constant velocity of 84 km/hr. How far would the car travel in 20 minutes?

I think this is it if not I'm sorry

78264 in

Answer:

A,  n = (8 - 7p)/m.

Step-by-step explanation:

mn + 7p = 8

mn = 8 - 7p

n = (8 - 7p)/m.

Answer:

10.5

Step-by-step explanation:

v=158

l×w×h =158

l×5×3=158

l×15=158

L =158÷15=10.5

To reverse the order of integration, we need to rewrite the limits of integration in terms of the other variable.
The value of the given integral by reversing the order of integration is (5/12)(\(e^{24}\) - 1).

The given integral is ∫∫ \(5e^{(2x)}\) dx dy, where the limits of x are from 0 to 4 and the limits of y are from 0 to 3y.
To integrate with respect to y first, we need to express the limits of y in terms of x.
From the limits of y given, we have 0 ≤ y ≤ 3y, which simplifies to 0 ≤ y.
Now we need to find the upper limit of y. To do this, we set the expression for the upper limit equal to the constant 12, which is the upper limit of x.
So we have 3y = 12, which gives y = 4.
Thus, the limits of integration become ∫∫ \(5e^{(2x)}\) dy dx, where the limits of y are from 0 to 4 and the limits of x are from 0 to 3y.
Now we can integrate with respect to y:

∫∫ \(5e^{(2x)}\) dy dx = ∫ 0^4 ∫ 0^(3y) \(\int\limits^4_0 \int\limits^{(3y)}_0 5e^{(2x)} dx dy\)
= \(\int\limits^4_0  [5/2 e^{(2x)}]_0^{(3y)} dy\)
= \(\int\limits^4_0  [5/2 (e^{(6y)} - 1)] dy\)
= \([5/12 (e^{(6y)} - 1)]_0^4\)
= \((5/12)(e^{24} - 1)\)
Note that the order of integration can be reversed if the integrand is continuous on a rectangular region that contains the original region of integration.

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Answer:

60

Step-by-step explanation:

I hope this helps!

Answer:

more info?

Step-by-step explanation:

Answer:

2. absolute value of p - q

Explanation:

Because when you calculate distance, you always use absolute value.

Can I get a thx and brainliest?

To determine the maximal velocity from an acceleration vs. time graph, you need to follow these steps:

Identify the time interval during which the acceleration remains constant or nearly constant. This interval can be identified as a straight line on the graph.

Calculate the acceleration value during this interval by finding the slope of the line. The slope is the change in acceleration divided by the change in time.

Use the acceleration value and the time interval to calculate the change in velocity during this interval using the formula:

Δv = aΔt

Where Δv is the change in velocity, a is the acceleration, and Δt is the time interval.

Add the change in velocity to the initial velocity at the start of the time interval to obtain the maximal velocity. If the initial velocity was zero, then the maximal velocity will be equal to the change in velocity.

vmax = vi + Δv

Where vmax is the maximal velocity and vi is the initial velocity.

Note that this method assumes that the acceleration is constant or nearly constant during the time interval of interest. If the acceleration changes significantly during this time interval, you will need to break it down into smaller intervals and repeat the above steps for each interval to determine the maximal velocity.

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Answer:

0.125

Step-by-step explanation:

Answer:

24 payments.

Step-by-step explanation:

$204 divided by $8.50 = 24

Answer:

y = \(\frac{4}{5}x+\frac{54}{5}\)

Step-by-step explanation:

Equation of a line has been given as,

\(y=\frac{4}{5}x+\frac{3}{5}\)

Here, slope of the line = \(\frac{4}{5}\)

y-intercept = \(\frac{3}{5}\)

"If the two lines are parallel, there slopes will be equal"

By this property slope of the parallel line to the given line will be equal.

Therefore, slope 'm' = \(\frac{4}{5}\)

Since, slope intercept form of a line is,

y = mx + b

Therefore, equation of the parallel line will be,

y = \(\frac{4}{5}x+b\)

Since, this line passes through a point (-6, 6),

6 = \(\frac{4}{5}(-6)+b\)

6 = \(-\frac{24}{5}+b\)

b = \(6+\frac{24}{5}\)

b = \(\frac{30+24}{5}\)

b = \(\frac{54}{5}\)

Equation of the parallel line will be,

y = \(\frac{4}{5}x+\frac{54}{5}\)

If a multiplies an n x p matrix b then the total number of multiplications involved is m x p. And is given by Dimensional vector.

For explanation, There are two separate cases to consider when multiplying an m-by-n matrix and an n-dimensional vector, or an m-by-n matrix and an n-by-p matrix.

When an m-by-n matrix, A, multiplies an n-dimensional vector, x, the number of separate multiplications involved is m. This is because in order to compute the dot product of A and x, each row of A needs to be multiplied by the vector x, resulting in m separate multiplications.

On the other hand, when A multiplies an n-by-p matrix, B, the number of separate multiplications involved is m x p. This is because in order to multiply A and B, each row of A must be multiplied by each column of B, resulting in m x p separate multiplications.

Therefore, the number of separate multiplications involved when multiplying an m-by-n matrix and an n-dimensional vector is m, and the number of separate multiplications involved when multiplying an m x n matrix and an n x p matrix is m x p.

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Answer:

Put a point at -5 on the Y axis.

Then move up 6 (still on the Y axis)

Then move to the right 1 (this should be the point 1,1 on the graph)

Draw a line through the points

Shade to the right of the line you drew

Answer:

$447/5  = $88.4

$664/4  = $166

$447/10  = $44.7

For the remainders, it would be,

For $447/5 = 4/10 = 2/5

For $664/4 = 0

For $447/10 = 7/10

Step-by-step explanation:

Answer:

205%

Step-by-step explanation:

Percent means out of 100, so we want to get the denominator as 100

41/20 * 5/5

205/100

The percent is 205

205%

The expression of sine function sin(π/2 - x) + sin(π - x) + sin(3π/2 - x) + sin(2π - x) simplifies to -cos(x).

To simplify the expression using the sums and differences of angles formulas, we can break down each term and apply the formulas. Here's the step-by-step process:

1. Use the sums and differences of angles formulas:

The formulas we will use are:

- sin(A + B) = sin(A)cos(B) + cos(A)sin(B)

- sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

2. Apply the formulas to each term:

a) sin(π/2 - x):

Using the formula sin(A - B), we have:

sin(π/2 - x) = sin(π/2)cos(x) - cos(π/2)sin(x) = 1 * cos(x) - 0 * sin(x) = cos(x)

b) sin(π - x):

Using the formula sin(A - B), we have:

sin(π - x) = sin(π)cos(x) - cos(π)sin(x) = 0 * cos(x) - (-1) * sin(x) = sin(x)

c) sin(3π/2 - x):

Using the formula sin(A - B), we have:

sin(3π/2 - x) = sin(3π/2)cos(x) - cos(3π/2)sin(x) = (-1) * cos(x) - 0 * sin(x) = -cos(x)

d) sin(2π - x):

Using the formula sin(A - B), we have:

sin(2π - x) = sin(2π)cos(x) - cos(2π)sin(x) = 0 * cos(x) - 1 * sin(x) = -sin(x)

3. Combine the terms:

sin(π/2 - x) + sin(π - x) + sin(3π/2 - x) + sin(2π - x) simplifies to:

cos(x) + sin(x) - cos(x) - sin(x)

4. Simplify the expression:

The cos(x) and -cos(x) terms cancel each other out, and the sin(x) and -sin(x) terms also cancel each other out. Therefore, we are left with:

-sin(x)

So, the simplified expression is -cos(x).

In the given expression, the angles π/2, π, 3π/2, and 2π correspond to the quadrants where sin(x) and cos(x) have specific values. The simplification relies on the properties and relationships between trigonometric functions in different quadrants.

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Answer:

y = 1

x = 4

Step-by-step explanation:

x + 3y = 7 → ( 1 )

2x - y = 7 → ( 2 )

First, let us make x the subject in equation ( 1 ).

x = 7 - 3y  → ( 3 )

Let us find the value of y.

For that let us take equation (1) & replace x with ( 7 - 3y ).

2x - y = 7

2 ( 7 - 3y ) - y = 7

Solve the brackets.

14 - 6y - y = 7

Combine like terms.

14 - 7y = 7

Subtract 14 from both sides.

-7y = 7 - 14

-7y = -7

Divide both sides by -7.

y = 1

Let us find value of x

For that let us take equation (3) & replace y with 1.

x = 7 - 3y

x = 7 - 3 × 1

x = 7 - 3

x = 4

Answer:

-10 = x

Step-by-step explanation:

2x = 3x + 10  Is this what you meant to write?  Subtract 2x from both sides

0 = x + 10  Subtract 10 from both sides

-10 = x

or are you combining like terms?

2x + 3x + 10

5x + 10

The straight-line distance and the shortest distance between point X and point Y will be 2,260 m and 2,361.78, respectively.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The distance between streets is around 80 m and the distance between avenues is around 260 m, as shown below.

The straight-line distance between point X and point Y will be given as,

⇒ (24 - 15) x 260 + (9 - 5) x 80

⇒ 2,340 + 320

⇒ 2,260 m

The shortest distance along the roads to get from point X to point Y will be given as,

D² = (2,340)² + (320)²

D² = 5,475,600 + 102,400

D² = 5,578,000

D = 2,361.78 meters

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The complete question is attached below.

Answer:

No, because the first equation equals -1.5x + 2.5 when simplified, but when the second equation is simplified it equals 1

The smallest sample size that will result in a margin of error of no more than 5% for a 95% confidence interval is given as follows:

385.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The margin of error is modeled as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

We have no estimate, hence we consider that:

\(\pi = 0.5\)

The minimum sample size is obtained as n when M = 0.05, hence:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.05 = 1.96\sqrt{\frac{0.5(0.5)}{n}}\)

\(0.05\sqrt{n} = 1.96 \times 0.5\)

\(\sqrt{n} = 1.96 \times 10\) (0.5/0.05 = 10).

\((\sqrt{n})^2 = (1.96 \times 10)^2\)

n = 384.16

Hence rounded to 385, as a sample size of 384 would have a margin of error slightly above 0.05.

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The type of error that explains the variability in the results between groups is "random error."Explanation:Random error is the variability between the groups' results due to the imprecision of the measuring instrument or technique.

It is caused by minor differences in the experimental conditions that are unpredictable and can not be controlled or accounted for in the experiment. Random error can lead to imprecise results that fluctuate from the main answer, which means that it is not biased towards one particular direction.The other type of error that is commonly known is "systematic error" which is characterized by consistent errors that occur in a specific direction due to the method or instrument used.

Systematic error is due to the inaccuracy of the measuring instrument or incorrect experimental design, and it can affect the accuracy of the main answer. Mistakes or human errors, on the other hand, are due to human error, such as incorrect calculations or transcriptions, and are not part of the sources of errors.

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The Probability that all four of the light bulbs work is 0.004 approx.

The probability that all four light bulbs work can be calculated by taking the product of the probability that each individual light bulb works. If each light bulb works independently of the other light bulbs, then the probability that all four light bulbs work is:

P(all 4 bulbs) = P(bulb 1) * P(bulb 2) * P(bulb 3) * P(bulb 4)

P(all 4 bulbs) = 0.25 * 0.25 * 0.25 * 0.25

P(all 4 bulbs) = 0.25^4

P(all 4 bulbs) = 0.00390625

So, the probability that all four light bulbs work is 0.00390625 or approximately 0.004.

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Answer:

Step-by-step explanation:

Question 1: the defined rules dictates that series 1 is multiples of 3 and series 2 is multiples of 9, making the ratio always 3.

Question 2: You must pay attention to the values of the coins based on how many going from 0 to 3 so the nickels are 0, 5, 10, 15 and the values of dimes is 0, 10, 20, 10. Looking only at the values one could easily jump to answer A because the values initially double for each, but breaks down at 3 coins.

To find out how much Kim spent in total with the 8% sales tax included, we first need to add up the cost of all 4 items: $32.45 + $46.78 + $12.91 + $52.38 = $144.52

Next, we'll multiply that total cost by the sales tax rate as a decimal (8% expressed as 0.08) to find out how much tax Kim had to pay: $144.52 x 0.08 = $11.56

Finally, we'll add the total cost of the items and the tax to find out how much Kim spent in total: $144.52 + $11.56 = $156.08

Answer: 81 miles

Step-by-step explanation:

if 2 inches = 54miles then 1 inch is 27 miles because 54/2=27

so 3 inches means 3(27)=81 miles from yuma to sentinel