Erica is 12
4
5
years old. Jared is 1
1
6
years younger than Erica and Jane is 1
1
3
years younger than Jared. How old is Jane?

Answer:

1. -50

2. -49

3. 38

4. 175

Step-by-step explanation:

hope it helps

Answer:

C,D,B,A

Step-by-step explanation:

The more the negitive number is, it's smaller. So, the answer would be C,D,B,A

i) The marginal rate of substitution (MRS) at the given bundle X = 1 and Y = 16 is 64.

ii) The graph should have the horizontal axis labeled as "X" ranging from 0 to 16, and the vertical axis labeled as "Y" also ranging from 0 to 16. The given bundle X = 1 and Y = 16 should be marked as a point on the graph. The indifference curve that passes through this bundle should be drawn as a curve on the graph, following the equation X * Y = 16. Ensure that the indifference curve passes through the point representing the given bundle accurately.

To find the marginal rate of substitution (MRS) at a given bundle, we need to calculate the ratio of the marginal utilities of the two goods.

Given that the consumer's utility function is U(X, Y) = X^(1/2) * Y^(1/2), and the given bundle is X = 1 and Y = 16, we can proceed with the calculations.

i) MRS:

The marginal utility of X, MUx, is the derivative of the utility function with respect to X:

MUx = ∂U/∂X = (∂/∂X) (X^(1/2) * Y^(1/2))

   = (1/2) * Y^(1/2) * X^(-1/2)

   = (1/2) * Y^(1/2) / X^(1/2)

   = (1/2) * Y/X

Similarly, the marginal utility of Y, MUy, is:

MUy = ∂U/∂Y = (∂/∂Y) (X^(1/2) * Y^(1/2))

   = (1/2) * X^(1/2) * Y^(-1/2)

   = (1/2) * X^(1/2) / Y^(1/2)

   = (1/2) * X/Y^(1/2)

Now we can calculate the MRS by taking the ratio of MUx to MUy:

MRS = MUx / MUy

   = [(1/2) * Y/X] / [(1/2) * X/Y^(1/2)]

   = (Y/X) * (Y^(1/2)/X)

   = Y^(3/2) / X^(3/2)

   = 16^(3/2) / 1^(3/2)

   = 16^(3/2)

   = 64

Therefore, the MRS at the given bundle X = 1 and Y = 16 is 64.

ii) Now, let's draw the graph. Since we are scaling each axis up to 16, the graph will be limited to that range.

On the horizontal axis, plot the amount of good X, ranging from 0 to 16. On the vertical axis, plot the amount of good Y, also ranging from 0 to 16.

Label the axes as "X" and "Y" respectively.

Now, locate the given bundle X = 1 and Y = 16 on the graph by marking a point.

To accurately draw the indifference curve that passes through this bundle, we need to find the equation of the indifference curve.

The utility function U(X, Y) = X^(1/2) * Y^(1/2) represents a perfect complement utility function, implying that the consumer wants to consume X and Y in fixed proportions.

To find the equation of the indifference curve, we set the utility function equal to a constant value, say C.

X^(1/2) * Y^(1/2) = C

Squaring both sides:

X * Y = C²

Now, let's find the value of C for the given bundle X = 1 and Y = 16:

1 * 16 = C²

C² = 16

C = 4

Therefore, the equation of the indifference curve passing through the given bundle is X * Y = 4^2 = 16.

Carefully and accurately draw this indifference curve on the graph, ensuring it passes through the point representing the given bundle X = 1 and Y = 16.

Learn more about Marginal Rate: https://brainly.com/question/14482480

#SPJ11

The first rider the displacement is, 17 km.

And the 2nd river the displacement is 20.22 km.

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.

It is asked in this problem is who's displacement is greater (not distance) it means that the shortest distance of starting and ending point with direction from start and end.

Here we have two triangle with two arm know for both.

So we have to find the 3rd arm for both triangle.

Now we have for a right triangle

a^2 + b^2 = c^2

For other triangle we know the cosine law of triangle is,

a^2 + b^2 - 2ab cosθ = c^2

θ is the opposite angle of c

For the first rider the displacement is,

c = \(c = \sqrt{a^2 + b^2} = \sqrt{8^2 + 15^2} = 17 km\\\)

For the 2nd river the displacement is

\(c = \sqrt{a^2-b^2 -2abcosheta}\),  θ = 120°

\(c = \sqrt{8^2 + 15^2 - 2ab cos(120)} \\c = \sqrt{289 - 240cos(120)} \\c = \sqrt{289 - (-120)} \\c = \sqrt{289 + 120}\\ c = \sqrt{409} \\c = 20.22km\)

Hence, the first rider the displacement is, 17 km.

And  the 2nd river the displacement is 20.22 km.

To know more about right triangle, click on the link

https://brainly.com/question/2437195

#SPJ1

Given sequence is:5 – 5/4 + 5/4^2 – 5/4^3 + ……Here we have to find the sum of the given sequence using the formula for a geometric series.

So, the formula for the sum of an infinite geometric series is:S= a / (1-r), where a is the first term and r is the common ratio. So, here

a=5 and

r= -5/4 (common ratio)

S= 5 / (1- (-5/4))

S= 5 / (1+5/4)

S= 5 / (9/4)

S= 20/9.

In this question, we have to find the sum of the given sequence using the formula for a geometric series. The formula for the sum of an infinite geometric series is:S= a / (1-r), where a is the first term and r is the common ratio.

So, here

a=5 and

r= -5/4

(common ratio)The sum of the series is:

S= a / (1-r)

S= 5 / (1- (-5/4))

S= 5 / (1+5/4)

S= 5 / (9/4)

S= 20/9.

Hence, the formula for the sum of an infinite geometric series is S= a / (1-r), where a is the first term and r is the common ratio.

Here, we can find the sum of a given sequence using the formula for a geometric series. In this question, we had to find the sum of the given sequence using the formula for a geometric series.

The formula for the sum of an infinite geometric series is:S= a / (1-r), where a is the first term and r is the common ratio.

So, by using this formula we got the sum of the given sequence which is 20/9.

To know more about geometric visit:

https://brainly.com/question/29170212

#SPJ11

Answer:

5. The sum of angles in a triangle is 180° so we can write:

9x - 16 + 3x + 11 + 7x - 5 = 180

19x - 10 = 180

19x = 190

x = 10°

6. Because the measure of an exterior angle is equal to the sum of its two remote interior angles we can write:

17x - 23 = 3x + 17 + 8x - 4

17x - 23  = 11x + 13

6x = 36

x = 6°

Answer:

5. The sum of angles in a triangle is 180° so we can write:

9x - 16 + 3x + 11 + 7x - 5 = 180

19x - 10 = 180

19x = 190

x = 10°

6. Because the measure of an exterior angle is equal to the sum of its two remote interior angles we can write:

17x - 23 = 3x + 17 + 8x - 4

17x - 23  = 11x + 13

6x = 36

x = 6°

Step-by-step explanation:

hope this helps

┐( ∵ )┌

I think it's 4x? I'm not up to that level of math yet.

Step-by-step explanation:

Here are the graphs of the two functions:

y

|

|

|

| (1) (2)

| | |

------x------x-------

| | |

| (3) (4)

|

|

Function 1: y = -2x^2

The graph is a downward-facing parabola.

The vertex is located at (0, 0).

The y-intercept is 0.

The function is symmetric about the y-axis.

Function 2: y = -2x^2 + 4

The graph is also a downward-facing parabola.

The vertex is located at (0, 4).

The y-intercept is 4.

The function is symmetric about the y-axis.

Comparing and contrasting the two graphs:

Both functions are downward-facing parabolas.

Function 2 is a vertical shift of Function 1, as it has been shifted 4 units upwards.

The vertex of Function 2 is higher than the vertex of Function 1.

The y-intercept of Function 2 is higher than the y-intercept of Function 1.

The shape and symmetry of the two graphs are the same.

Answer:

fondo

Step-by-step explanation:

Answer:

in the middle of venn diagram

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

well same I'd everything looks alike but similar is the basics

Here is a simple framework to model the problem as an Integer Programming (IP) problem and solve it using Excel Solver:

Let x(i,j) be the number of full-time employees assigned to work on day i (1 <= i <= 7) and given day off on day j (1 <= j <= 7).

a. Work days constraint: For each day i, the number of employees working must meet the demand:

∑(j=1 to 7) x(i,j) = demand(i) (1 <= i <= 7)

b. Availability constraint: Each employee can work only 5 consecutive days, so for each day j (1 <= j <= 7), the number of employees given day off on day j must be less than or equal to the number of employees working on day j-5:

∑(i=1 to 7) x(i,j) <= ∑(i=j-5 to j-1) x(i,j-5) (1 <= j <= 7)

The objective is to minimize the total number of full-time employees hired, so the objective function is:

minimize: ∑(i=1 to 7) ∑(j=1 to 7) x(i,j)

Excel Solver can be used to find the optimal solution to the IP problem. The constraints and objective function should be set up in the spreadsheet, and Solver should be configured to use the integer constraint option. The solution will give the optimal number of full-time employees hired and their assignment on each day.

To learn more about model here:

https://brainly.com/question/29641814

#SPJ4

Awenser 101 Simplified 86 +15 X 3

Step-by-step explanation:

i did 4-9 got -5 times 3 = -15 then 86- (-15) = 101

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Here we go ~

\(\qquad \sf  \dashrightarrow \: 4(1 - 5x) + 2 \leqslant 166\)

\(\qquad \sf  \dashrightarrow \: 4 - 20x + 2 \leqslant 166\)

\(\qquad \sf  \dashrightarrow \: - 20x + 6\leqslant 166\)

\(\qquad \sf  \dashrightarrow \: - 20x \leqslant 166 - 6\)

\(\qquad \sf  \dashrightarrow \: - 20x \leqslant 160\)

\(\qquad \sf  \dashrightarrow \: - x \leqslant 160 \div 20\)

\(\qquad \sf  \dashrightarrow \: - x \leqslant 8\)

\(\qquad \sf  \dashrightarrow \: x \geqslant 8\)

[ Inequality changes as we multiply -1 on both sides ]

The true option about line segments JK and KL based on the information about the triangle is that D. Neither segment is a chord nor tangent to circle M.

From the information given, it was stated that Triangle JKL is equilateral and that one side of the triangle, JL, is a diameter of circle M.

It should be noted that JK and KL cuts through the circle. They are not chords in this case.

Therefore, the true option about line segments JK and KL based on the information about the triangle is that neither segment is a chord nor tangent to circle M.

Learn more about triangles on:

brainly.com/question/1058720

#SPJ1

Answer:

its D

Step-by-step explanation:

ifunny is dankreloaded

The solution to the given differential equation is: x⁷ cos y = y + C

where C is the constant of integration

To solve the given differential equation:

\(\[7x^6\cos y dx - dy = 0\]\)

We can separate the variables and integrate both sides.

Separating variables, we can write the equation as:

\(\[7x^6\cos y dx = dy\]\)

Now, we can integrate both sides with respect to their respective variables:

\(\[\int 7x^6\cos y dx = \int dy\]\)

Integrating the left side:

\(\[\int 7x^6\cos y dx = 7 \int x^6 \cos y dx\]\)

To integrate \(\(x^6 \cos y\)\)with respect to x, we can use integration by parts.

Let's take u = x⁶ and \(\(dv = \cos y dx\)\).

Differentiating u with respect to \(\(x\) gives \(du = 6x^5 dx\).\)

Integrating dv with respect to x gives \(\(v = \int \cos y dx = \cos y \cdot x\).\)

Applying the integration by parts formula:

\(\[\int x^6 \cos y dx = u \cdot v - \int v \cdot du\]\)

Substituting the values:

\(\[\int x^6 \cos y dx = x^6 \cdot \cos y \cdot x - \int (\cos y \cdot x) \cdot (6x^5 dx)\]\)

Simplifying:

\(\[\int x^6 \cos y dx = x^7 \cos y - 6 \int x^6 \cos y dx\]\)

Moving the integral term to the left side:

\(\[7 \int x^6 \cos y dx = x^7 \cos y\]\)

Dividing both sides by 7:

\(\[\int x^6 \cos y dx = \frac{x^7 \cos y}{7}\]\)

Now, substituting this result back into our original equation:

\(\[7 \int x^6 \cos y dx = dy\]\)

\(\[\frac{7x^7 \cos y}{7} = dy\)

Simplifying:

x⁷ cos y = dy

Finally, the solution to the given differential equation is:

x⁷ cos y = y + C

where C is the constant of integration.

To learn more about differential equations visit:

brainly.com/question/25731911

#SPJ11

Answer:

13p

Step-by-step explanation:

because the P it have 1 hidden there

12p + 1p = 13p

Answer:

8 grams

Step-by-step explanation:

a triangle is half a square

The volume generated by rotating the region bounded by the curves y = 10x - x^2 and y = 24 about the axis x = 4 is approximately 229.68 cubic units.

To find the volume generated by rotating the region bounded by the curves y = 10x - x^2 and y = 24 about the axis x = 4, we can use the method of cylindrical shells.

First, let's sketch the region and the axis of rotation to visualize the setup.

We have the curve y = 10x - x^2 and the horizontal line y = 24. The region bounded by these curves lies between two x-values, which we need to determine.

Setting the two equations equal to each other, we have:

10x - x^2 = 24

Simplifying, we get:

x^2 - 10x + 24 = 0

Factoring, we have:

(x - 4)(x - 6) = 0

So the region is bounded by x = 4 and x = 6.

Now, let's consider a vertical strip at a distance x from the axis of rotation (x = 4). The height of the strip will be the difference between the two curves: (10x - x^2) - 24.

The circumference of the cylindrical shell at position x will be equal to the circumference of the strip:

C = 2π(radius) = 2π(x - 4)

The width of the strip (or the "thickness" of the shell) can be denoted as dx.

The volume of the shell can be calculated as the product of its height, circumference, and width:

dV = (10x - x^2 - 24) * 2π(x - 4) * dx

To find the total volume V, we integrate this expression over the range of x-values (from 4 to 6):

V = ∫[from 4 to 6] (10x - x^2 - 24) * 2π(x - 4) dx

Now, we can simplify and evaluate this integral to find the volume V.

V = 2π ∫[from 4 to 6] (10x^2 - x^3 - 24x - 40x + 96) dx

V = 2π ∫[from 4 to 6] (-x^3 + 10x^2 - 64x + 96) dx

Integrating term by term, we get:

V = 2π [(-1/4)x^4 + (10/3)x^3 - 32x^2 + 96x] evaluated from 4 to 6

V = 2π [(-1/4)(6^4) + (10/3)(6^3) - 32(6^2) + 96(6) - (-1/4)(4^4) + (10/3)(4^3) - 32(4^2) + 96(4)]

Evaluating this expression, we find the volume V.

V ≈ 229.68 cubic units

Therefore, the volume generated by rotating the region bounded by the curves y = 10x - x^2 and y = 24 about the axis x = 4 is approximately 229.68 cubic units.

Learn more about volume here

https://brainly.com/question/463363

#SPJ11

Answer:

-15

Step-by-step explanation:

as i said if the signs are different the result is negative

In Part 1 of the question, we are asked to determine the boundaries within which we would expect approximately 99.7% of the scores to fall, given that the distribution is bell-shaped with a standard deviation of approximately 50.

To find these boundaries, we use the empirical rule, also known as the 68-95-99.7 rule, which states that in a normal distribution:

- Approximately 68% of the scores fall within one standard deviation of the mean.

- Approximately 95% of the scores fall within two standard deviations of the mean.

- Approximately 99.7% of the scores fall within three standard deviations of the mean.

Given that the mean is 507 and the standard deviation is 50, we can calculate the boundaries as follows:

- Lower boundary: Mean - (3 * standard deviation) = 507 - (3 * 50) = 357

- Upper boundary: Mean + (3 * standard deviation) = 507 + (3 * 50) = 657

Therefore, we would expect approximately 99.7% of the scores to fall between 357 and 657.

In Part 2 of the question, we are asked to determine the percentage of scores that would be above 557.

To find this percentage, we need to calculate the area under the bell-shaped curve to the right of the score 557. Since the distribution is symmetric, we can subtract the percentage of scores falling below 557 from 100% to find the percentage above 557.

Using the standard normal distribution table or a statistical calculator, we can find that the percentage of scores falling below 557 is approximately 80.86%. Subtracting this from 100%, we get:

Percentage above 557 = 100% - 80.86% ≈ 19.14%

Therefore, approximately 19.14% of the scores would be above 557.

learn more about Percentage here:

https://brainly.com/question/32197511

#SPJ11

Answer:

first 2/21 2nd 4/43

Step-by-step explanation:

Answer for 3:

$4467.25

Answer for 4:

None of them. Are there any other solutions?

The new inequalities are:

A) -16 < -4

B) 40 > 8

C) -45 < 15

D) 35 > -20

What is inequality?

Inequality in math is a comparison between two values, expressing that one value is greater than, less than, or not equal to the other value. It is represented by symbols such as > (greater than), < (less than), and ≠ (not equal to). For example, 5 > 3 is an inequality, which means that 5 is greater than 3.

A) When you multiply both sides of the inequality 8 > 2 by -2, you need to reverse the direction of the inequality to get the new, true inequality: -16 < -4.

B) When you multiply both sides of the inequality -10 < -2 by -4, you need to reverse the direction of the inequality to get the new, true inequality: 40 > 8.

C) When you multiply both sides of the inequality 15 > -5 by -3, you need to reverse the direction of the inequality to get the new, true inequality: -45 < 15.

D) When you multiply both sides of the inequality -7 < 4 by -5, you need to reverse the direction of the inequality to get the new, true inequality: 35 > -20.

Therefore, the new inequalities are:

A) -16 < -4

B) 40 > 8

C) -45 < 15

D) 35 > -20

To know more about inequality visit:

https://brainly.com/question/25275758

#SPJ1

Complete question : given in the picture.

Answer:A) -16 < -4B) 40 > 8C) -45 < 15D) 35 > -20

Reverses

Step-by-step explanation:hope this helps!

have a great Thursday! :)

Answer:

Thebecks u

Step-by-step explanation:

its 93

The greatest number of 130-kilogram crates that can be loaded into the shipping container is 116.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The weight that can be loaded on the container

= Total weight capacity of container - Weight that is already present on the container

= 26,500 kilograms - 11,400 kilograms

= 15,100 kilograms

Now, the number of crates that can be put in the container,

Number of crates

= Weight that can be loaded on the container / Weight of a crate

= 15,100 kilograms / 130 kilograms

= 116.1538 ≈ 116

Hence, the greatest number of 130-kilogram crates that can be loaded into the shipping container is 116.

Learn more about Subtraction here:

https://brainly.com/question/1927340

#SPJ2

Answer:

5.43

Step-by-step explanation:

If you look and the number after the decimal, 4 is greater than 3

the sat score equation will be 650.556 - 1.171*Anagram Time.

What is a confidence interval?

A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contains the parameter's true value is what is meant by the confidence level.

A psychologist would like to evaluate the relationship between verbal skills as measured by the

scholastic achievement test (sat) and performance on an anagram task.

The Pearson Correlation Coefficient is -0.956.

The SAT and anagram performance are strongly inversely correlated.

The regression equation is:

SAT Score = 650.556 - 1.171*Anagram Time

Hence the sat score equation will be 650.556 - 1.171*Anagram Time

Learn more about confidence intervals, by the following link.

https://brainly.com/question/17097944

#SPJ4

I can't type it I have to solve on a paper for you

39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

For more information about one-way ANOVA,visit

brainly.com/question/24157862

#SPJ4

Step-by-step explanation:

1525 yards + 1775 yards = 3,300 miles.

3300 yards = 1.875 miles (exactly)

3 miles subtract 1.875 miles = 1.125 miles.

Therefore Chance needs to run 1.125 miles or 1,980 yards more.

Answer:10.50

Step-by-step explanation: 12-1.50=10.50

Answer: 12

Step-by-step explanation:

4t5t

Skylar went to the store to buy some almonds. The price per pound of the almonds is $7.75 per pound and she has a coupon for $3.50 off the final amount. With the coupon, how much would Skylar have to pay to buy 3 pounds of almonds? Also, write an expression for the cost to buy pp pounds of almonds, assuming at least one pound is purchased.

Skylar went to the store to buy some almonds. The price per pound of the almonds is $7.75 per pound and she has a coupon for $3.50 off the final amount. With the coupon, how much would Skylar have to pay to buy 3 pounds of almonds? Also, write an expression for the cost to buy pp pounds of almonds, assuming at least one pound is purchased.

Skylar went to the store to buy some almonds. The price per pound of the almonds is $7.75 per pound and she has a coupon for $3.50 off the final amount. With the coupon, how much would Skylar have to pay to buy 3 pounds of almonds? Also, write an expression for the cost to buy pp pounds of almonds, assuming at least one pound is purchased.

Answer:

By multiplying -2 by 5 you get:

Step-by-step explanation:

- 10