I need help ASAP
Please someone help

Answer:

container A

Step-by-step explanation:

In Container A, we can plot the points (0,60) adn (2, 35)

The slope is :

\(m_A = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{35-60}{2-0} \\\\= \frac{-25}{2}\\ \\m_A = -12.5\\\)

For container B, the slope is:

\(m_B = \frac{y_2-y_1}{x_2-x_1} \\\\= \frac{32-54}{3-1} \\\\= \frac{-22}{2}\\ \\m_B = -11\\\)

The negative sign of the slope indicates the direction of the slope

\(|m_A| = 12.5\\\\|m_B| = 11\)

12.5 > 11

The slope of container A is steeper than container B

Therefore, the water is draining out of container A at a faster rate than container B

If a stick of length 60 inches is measured to be 63 inches long the the percent error will be 5% .

The Percent Error can be calculated by the formula

Percent Error = (measured value - actual value)/(actual value)  ×100

In the question ,

it is given that

the original length of the stick is 60 inches .

the measured length of the stick is 63 inches .

So, the measured value = 63 inches ,

actual value = 60 inches .

Substituting the measured values and actual value in the percent error formula , we get

Percent Error = (63-60)/60 × 100

= 3/60 × 100

= 1/20 × 100

= 100/20

= 5 %

Therefore , if a stick of length 60 inches is measured to be 63 inches long the the percent error will be 5% .

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Answer:

-65

Step-by-step explanation:

Median = middle number

-76, -74, -67, -65, -63, -58, -48

out of the numbers I am shown, from the photo, I would say "-65" is the answer, but if there is another number I'm missing, add it to the row of numbers above and add the two numbers together and divide by 2

I hope this helps!

The final value of the investment at a rate of 4.75% compounded continuously for 25 years is $49,183.11.

The formula accrued amount compounded continuously is expressed as;

A = P × e^(rt)

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given the data in the question;

Plug the given values into the above formula and solve for A.

A = P × e^(rt)

A = $15,000 × e^( 4.75% × 25 )

A = $15,000 × e^( 4.75/100 × 25 )

A = $15,000 × e^( 0.0475 × 25 )

A = $15,000 × (2.71828)^1.1875

A = $49,183.11

Therefore, the accrued amount of the investment is $49,183.11.

Option A is the correct answer.

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Answer:

$49,183.11

Step-by-step explanation:

I got it right.

Answer:

Step-by-step explanation:

you will pay approximately $11,542 in interest over the life of the loan.

it will take approximately 82.3 months to pay off the loan.

To calculate the number of years, we divide the number of months by 12:

Years ≈ 82.3 / 12 ≈ 6.9 (rounded to one decimal place)

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future value of the annuity (total amount paid)

P = Monthly payment amount ($140)

r = Monthly interest rate (16% / 12 = 0.16 / 12 = 0.0133)

n = Number of periods (months)

We need to solve for n. Rearranging the formula, we have:

n = log((FV * r) / (P * r + P)) / log(1 + r)

Plugging in the given values:

FV = $3,400

P = $140

r = 0.0133

n = log(($3,400 * 0.0133) / ($140 * 0.0133 + $140)) / log(1 + 0.0133)

Calculating this expression:

n ≈ log(45.22) / log(1.0133)

Using a calculator, we find:

n ≈ 82.3

To calculate the number of years, we divide the number of months by 12:

Years ≈ 82.3 / 12 ≈ 6.9 (rounded to one decimal place)

So, it will take approximately 6.9 years to pay off the loan.

To calculate the total interest paid, we subtract the initial loan amount from the total amount paid:

Total interest = (P * n) - $3,400

Total interest = ($140 * 82.3) - $3,400

Total interest ≈ $11,542

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After 2 years, Delanie's investment will earn approximately $153.13 in interest compounded annually .

To calculate the interest earned on Delanie's investment, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount (including principal and interest)

P = the principal amount (initial deposit)

r = the annual interest rate (in decimal form)

n = the number of times interest is compounded per year

t = the number of years

In this case, Delanie deposited $3,000, the interest rate is 2.5% (or 0.025 as a decimal), the interest is compounded annually (n = 1), and the investment period is 2 years.

Plugging the values into the formula, we have:

A = 3000(1 + 0.025/1)^(1*2)

A = 3000(1.025)^2

A ≈ 3,153.13

To find the interest earned, we subtract the initial principal amount from the final amount:

Interest = A - P

Interest = 3,153.13 - 3,000

Interest ≈ $153.13

Therefore, Delanie's investment will earn approximately $153.13 in interest.

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a) To form a rectangle, a cross-section of the cube can be made by slicing the cube with a plane containing points B, C, and the midpoints of AB and CD. With this plane, the cross-section produced will be a rectangle.The midpoints of AB and CD will intersect with the plane to form a line segment that is parallel to BC.

The intersection of the plane with the sides AD and BC will give us the other two sides of the rectangle which are perpendicular to BC.b) To form an isosceles triangle, a cross-section of the cube can be made by slicing the cube with a plane containing points A, C, and E. With this plane, the cross-section produced will be an isosceles triangle. The midpoint of the line segment AC is the apex of the triangle, while the line segment DE forms the base of the triangle. The legs of the triangle are formed by the intersection of the plane with the sides AB and CD.

If the length of each side of the cube is x, then the base of the triangle will be x and each leg of the triangle will be x/√2.c) To form an equilateral triangle, a cross-section of the cube can be made by slicing the cube with a plane containing points A, E, and the midpoint of BC. With this plane, the cross-section produced will be an equilateral triangle. The midpoints of the sides of the equilateral triangle formed by the intersection of the plane with the sides AB and CD. The length of each side of the equilateral triangle will be equal to the length of the cube’s side, x.d)

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Let us find the cross-section of the cube that will form each of the following figures:

a) A rectangle: Let the midpoint of AB be E, midpoint of AD be F and midpoint of AE be G.

The required cross-section is DECB.

See the diagram below: In the above diagram, we can see that the required cross-section DECB is a rectangle. Length DE = Length CB, Length DC = Length BE and Length CD = Length EA. Hence DECB is a rectangle.

b) An isosceles triangle: Let the midpoint of AB be E, midpoint of BC be H and midpoint of CH be I. The required cross-section is AEI. See the diagram below: In the above diagram, we can see that the required cross-section AEI is an isosceles triangle. Length AE = Length EI. Hence the triangle AEI is isosceles.

c) An equilateral triangle: Let the midpoint of AE be G, midpoint of BF be J and midpoint of CJ be K. The required cross-section is GJK.See the diagram below:In the above diagram, we can see that the required cross-section GJK is an equilateral triangle. All the sides of GJK are equal.

d) A parallelogram: Let the midpoint of AD be F, midpoint of BF be J and midpoint of DJ be L. The required cross-section is FJLB. See the diagram below:

In the above diagram, we can see that the required cross-section FJLB is a parallelogram. Length FJ = Length LB and Length FL = Length JB. Hence FJLB is a parallelogram.

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Answer:

\(10 coins\)

Step-by-step explanation:

\(5\%\) is equal to \(0.05\) which is just \(5 per 100\). In the number \(200\), there are 2 hundreds, so the answer would be 10 (coins that represent \(5\%\) of her collection. You could also do \(0.05×200=10\).

Answer:

c. 3 \(\leq\) y \(\leq\) 5

Step-by-step explanation:

Rosalie is training for a marathon. She jogs for 30 minutes at a rate of 5 miles per hour, then she decreases her speed over a period of time and walks for 60 minutes at a rate of 3 miles per hour.

Therefore, the speed (y) of Rosalie ranges from 5 mph to 3 mph including the values.  

So, the range of this relation is 3 ≤ y ≤ 5.

Answer:

c

Step-by-step explanation:

the maximum of y is 5 the minimum of y is 3

Answer:

Lines a and b are parallel, and lines c and d are parallel.

Step-by-step explanation:

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

The answer to your question would be x=12. Equation is worked out below

Step-by-step explanation:

5 /2 x−7= 3 /4 x+14

5 /2 x-3/4x − 7 =  3 /4 x-3/4x +14

7/ 4 x−7=14

7 /4 x−7+7=14+7

7/ 4 x=21

do the opposite of 7/4x (division)

7/4 / 7/4x = 21 / 7/4

4/7 / 7/4x (cross each other out) = 21 / 4/7

x=12

Answer:

\( \frac{5}{2}x - 7 = \frac{3}{4} x + 14 \\ \frac{5}{2} x - \frac{3}{4} x = 14 + 7 \\ \frac{7}{4} x = 21 \\ x = \frac{21 \times 4}{7} \\ x = 12\)

I hope I helped you^_^

Answer:

m∠1 = 145°

m∠3 = 35°

m∠4 = 145°

m∠5 = 145°

m∠6 = 35°

m∠7 = 35°

m∠8 = 145°

Step-by-step explanation:

In the picture attached,

line 'm' and line 'l' are the parallel lines and another line intersects these lines is a transverse.

m∠2 = 35°

Since ∠1 and ∠2 are supplementary angles,

m∠1 + m∠2 = 180°

m∠1 + 35° = 180°

m∠1 = 180° - 35°

m∠1 = 145°

∠1 ≅ ∠4 [Vertical angles]

m∠1 = m∠4 = 145°

∠2 ≅ ∠3 [Vertical angles]

m∠2 = m∠3 = 35°

∠3 ≅ ∠6 [Interior alternate angles]

m∠3 = m∠6 = 35°

Similarly, ∠4 ≅ ∠5 [Interior alternate angles]

m∠4 = m∠5 = 145°

∠6 ≅ ∠7 [Vertical angles]

m∠6 = m∠7 = 35°

The probability of events A and B occurring together, P(A and B), is 1/5.

To find the probability of the intersection of events A and B, denoted as P(A and B), we can use the conditional probability formula:

\(P(A and $ B) = P(A|B) \times P(B)\)

Given that P(A) = 1/4, P(B) = 1/4, and P(A|B) = 4/5, we can substitute these values into the formula:

\(P(A $ and $B) = (4/5) \times (1/4)\)

Simplifying the expression:

P(A and B) = 4/20

Reducing the fraction to its simplest form:

P(A and B) = 1/5.

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Answer:

A) 15

Step-by-step explanation:

a = 3   b = 5  c = 7

a + b + c

3 + 5 + 7 = 15

Answer:

I believe it is A 15

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The 95% confidence interval for the average apple weight is (119.14, 125.86).

According to one manufacturer, an apple normally weighs 120 grams with a 12-gram standard variation. According to figures derived from a sample of 49 apples randomly selected from a shipment, an apple weighed 122. 5 grams on average.

Let, n = 49

x = 122.5

σ = 12

To calculate and interpret a 95% confidence interval for the average apple weight, use the formula;

⇒ (x ± 1.96*σ/√n)

⇒ (122.5 ± 1.96*12/√49)

⇒ (119.14, 125.86)

Consequently, the average apple weight has a 95% confidence interval of (119.14, 125.86).

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Answer:

y = -4x -37

Step-by-step explanation:

Let me know if you need further explanation

Answer:

x (curvy E) <-infinity.-4] U[1,2]

Step-by-step explanation:

i would explain  but its ALOT of work

hope it helps!

The answer is \(x=\frac{11}{8}\)

First you must simplify the inequality

2x+3≤10x-8

Then, you must subtract 10 on each side

-8x+3≤-8

Subtract 3 on both sides

-8x≤-11

Divide both sides by -8

\(x=\frac{11}{8}\)

Answer:

45 yards

Step-by-step explanation:

Formula to find area of rectangle: Length * Width

Given:

Length = 70 yards

Area = 3,150 yards

Width = 3,150/70

        ==> 45 yards

Width = 45 yards

The value used for the parameter p is 0.544.

The number of successes in a sample of size n drawn with replacement from a population of size N is typically modeled using the binomial distribution. The mean for this type of distribution is computed by multiplying the number of trials (n) by the probability that they will succeed (p). Then, mean = n×p. The variance is n×p×q, where q is the probability that the event fails. The standard deviation is √(n×p×q).

Here, given that the percentage of tickets sold with popcorn is 54.4% and those not sold is 45.6%, the parameter (p) we used to calculate when the event occurs is 0.544. Because it is the probability that the sale of movie tickets with popcorn occurs.

The answer is 0.544.

The complete question is -

Consider how the following scenario could be modeled with a binomial distribution, and answer the question that follows.

54.4% of tickets sold to a movie are sold with a popcorn coupon, and 45.6% are not.

You want to calculate the probability of selling exactly 6 tickets with popcorn coupons out of 10 total tickets (or 6 successes in 10 trials).

What value should you use for the parameter p?

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Answer:

2.5

Step-by-step explanation:

The slope of the line is; \(\frac{rise}{run}\) and can be found using the formula;

\(\frac{y_{2} - y_{1}}{x_{2}-x_{1}}\)

Given the points;

( 6, 3 ) and ( 4, -2)

Substitute the points in and solve;

\(\frac{(-2) - (3)}{(4) - (6)}\)

\(\frac{-5}{-2}\\\\\frac{5}{2}\\\\= 2.5\)

Answer:

D

Step-by-step explanation:

y=mx+b

y=2/3x +3

y = y coordinate

m = slope

x = x coordinate

b = y intercept

Answer:

D

Step-by-step explanation:

Hope this helps!!

If the stream narrows from 30 feet to 20 feet, the width of the stream has narrowed, and the velocity should increase. The correct answer is b.

According to the principle of conservation of mass, when the width of a stream narrows, the volume flow rate (the amount of water passing through a given point per unit time) must remain constant if there are no other factors involved.

The volume flow rate (Q) can be calculated as the product of the cross-sectional area (A) and the velocity (v): Q = A * v.

When the width of the stream narrows from 30 feet to 20 feet while the volume flow rate remains constant, the cross-sectional area decreases. To maintain a constant volume flow rate, the velocity must increase.

This is because the same amount of water is passing through a smaller cross-sectional area, requiring an increase in velocity to compensate for the reduced width.

Therefore, the correct statement is that the width of the stream has narrowed, and the velocity should increase.

The correct answer is b.

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Answer:

B (35)

Step-by-step explanation:

5 * 3 = 15

5 * 4 = 20

20+15= 35

Answer:

B) 35

Step-by-step explanation:

Solve the equations inside the parenthesis first

so 3 + 4  = 7

now multiply 7 x 5 = 35

The equation of P in the given equation is P = 100N/W

The equation is given as:

W = 100N/P

Multiply both sides by P

WP = 100N

Divide both sides by W

P = 100N/W

Hence, the equation of P in the given equation is P = 100N/W

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The value of γ is greater than 1 for any v > 0, greater than 10 for v > 0.995c, and greater than 100 for v > 0.99995c.

To determine for what speed (in terms of c) the value of γ is greater than 1, 10, and 100, we'll use the formula for the Lorentz factor (γ):
γ = 1 / √(1 - v²/c²)
where v is the speed and
c is the speed of light.

(a) For γ > 1:
Since γ is always greater than 1 for any speed v greater than 0, we can say that γ is appreciably greater than 1 for any v > 0.

(b) For γ > 10:
We need to solve the equation 10 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 100 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/100 = 99/100.
So, v/c = √(99/100), which implies v > 0.995c for γ > 10.

(c) For γ > 100:
Similar to (b), solve the equation 100 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 10000 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/10000 = 9999/10000.
So, v/c = √(9999/10000), which implies v > 0.99995c for γ > 100.

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Answer:

0.9

Step-by-step explanation:

you do 1.6 x 4= 6.4

so we know that we have to do 3.6 divided by 4 = 0.9

so 0.9 is x

-2x²-2x-4

Is the answer. I know because I took the test.