An air traffic controller is tracking two planes. To start, Plane A was at an altitude of 890 meters, and Plane B was at an altitude of 1322 meters. Plane A islosing altitude at 16 meters per second, and Plane B is losing altitude at 25 meters per second.Let x be the number of seconds that have passed.(Questions included in Photo)

.No, the strong negative association does not support the idea that beavers benefit beetles.

The solution is as follows:

The number of tree stumps is the explanatory variable, and we expect an increase in the number of tree stumps to induce an increase in the response variable, the number of beetle larvae.

There is a weak negative linear relationship.

Correlation is : -0.916; Slope: -1.286; Intercept: 3.452

The fraction of the variation in the values of the number of beetle larvae that is explained by the least-squares regression with the number of tree stumps is 0.839. This indicates that the strong negative association does not support the idea that beavers benefit beetles.

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Answer:

No solutions

Step-by-step explanation:

14(z + 3) = 14z + 21

Expand brackets.

14z + 42 = 14z + 21

Subtract 14z on both sides.

42 = 21

There are no solutions.

Answer:

No solution

Step-by-step explanation:

First, We have to simplify the right side.

Distribute 14, 14z+42.

Now the equation stands as 14z+42=14z+21

Subtract 14z from both sides,

this makes it 42=21.

We know when the solution is #=#, our answer is no solution.

Answer: To find out whether Maya hiked more than 3 kilometers in all, we need to add the lengths of the two trails and compare the sum to 3 kilometers.

The length of the first trail is 1 and 1-third kilometers, which can be written as:

1 + 1/3 = 4/3 kilometers

The length of the second trail is 1 and 2-fifths kilometers, which can be written as:

1 + 2/5 = 7/5 kilometers

Adding these two lengths, we get:

4/3 + 7/5 = (20/15) + (21/15) = 41/15 kilometers

To compare this to 3 kilometers, we need to convert 3 kilometers to the same unit as the sum of the two trail lengths, which is kilometers. We can write 3 kilometers as:

3 = 45/15 kilometers

Now we can compare the two values:

41/15 kilometers < 45/15 kilometers

Since the sum of the two trail lengths is less than 3 kilometers, Maya did not hike more than 3 kilometers in all.

The graph is missing, so i have attached it.

Answer:

From 0 hours to 2 hours.

Step-by-step explanation:

From the attached graph, we can see that on the y-axis, denotes the level of ibuprofen in the patient’s bloodstream while the x-axis denotes the amount of hours after the ibuprofen was taken.

Now, looking at the graph, we can see that the curve goes up from a time of 0 hours which corresponds to 0 mg of ibuprofen to a time of 2 hours which corresponds to 400 mg of ibuprofen.

After that point, the curve begins to to go down. Since we are concerned with increase, we will make do with the first statement.

Thus, we can say the period at which the level of ibuprofen increased was from 0 hours to 2 hours.

The product of -2³ + x - 5 and x³ -3x +4 is -5x³ + 16x - 28.

The given expression is:

-2³ + x - 5 x (x³ -3x +4)

We need to follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, let's simplify -2³, which means -2 x 2 x 2 = -8, so we have:

-8 + x - 5 x (x³ -3x +4)

Next, we need to distribute the -5 to the terms inside the parentheses:

-8 + x - 5x³ + 15x - 20

Now we can combine like terms:

-5x³ + 16x - 28

Therefore, the product of -2³ + x - 5 and x³ -3x +4 is -5x³ + 16x - 28.

Now, to answer the second part of the question, we need to check if:

-2³ + x - 5 x (x³ -3x +4) = (x³ -3x +4) * (-2³ + x - 5)

We can simplify both expressions first:

-8 + x - 5x³ + 15x - 20 = -8 + x - 5x³ + 15x - 20

We can see that both expressions are identical, which means that the product of -2³ + x - 5 and x³ -3x +4 is equal to the product of x³ -3x +4 and -2³ + x - 5, regardless of the order in which we multiply the factors.

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Answer:

\(y+6=\frac{-8}{7} (x-7)\)

Step-by-step explanation:

To find the slope of the equation use \(\frac{y_2-y_1}{x_2-x_1}\).

So, \(\frac{-6-2}{7-0}\) = \(\frac{-8}{7}\). Now we can use our slope and any of the two points to write in point-slope form, which is \(y-y_1=m(x-x_1)\). Using the point (7,-6), the formula will give \(y+6=\frac{-8}{7} (x-7)\).

To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.

Answer:

y=-4, x=8

Step-by-step explanation:

1)3x+5y=4

2)2x+3y=4

Make 1 and 2 have the same co-efficient of x or y (i chose x as it is easier to get to 6 then 15)

Label the 2 new equations as 3 and 4

3)6x+10y=8

4)6x+9y=12

Now we can take away to give

y=-4

Now we substitute this into 1 or 2

I chose 2:

2x+3(-4)=4

2x=4+12

2x=16

x=8

Answer:

x = 8

y = -4

Step-by-step explanation:

Multiply the first equation by 2:

⇒ 3x + 5y = 4  ⇒  6x + 10y = 8

(we will call this equation 3)

Multiply the second equation by 3:

⇒ 2x + 3y = 4  ⇒  6x + 9y = 12

(we will call this equation 4)

Subtract equation 3 from equation 4 to eliminate the x variable:

     6x + 9y = 12

-    6x + 10y = 8

              -y = 4

Therefore, y = -4

Substitute y = -4 into one of the equations and solve for x:

3x + (5 x -4) = 4

⇒ 3x - 20 = 4

⇒ 3x = 24

⇒ x = 8

Step-by-step explanation:

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Answer:

the next term in the sequence would be 405.

The relationship that represents a function with a greater rate of change than the function graphed is given as follows:

A. y = 4x - 3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The slope represents the average rate of change of a linear function.

From the graph, when x increases by one, y decreases by two, hence the slope m is given as follows:

m = -2.

For function A, the function is defined as follows:

y = 4x + 3.

Hence the rate of change is given as follows:

m = 4, which is greater than -2.

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Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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Answer:

4

Step-by-step explanation:

picture attached as explanation

We can see through alternate interior and exterior angles, corresponding angles, and vertical angles what the measures are.

Answer:

. The correct order for saving is

Opay off credit card, retirement fund, and emergency fund

Complete question:

Calculate each probability given that P(A) = 0.2, P(B) = 0.8, and A & B are independent.

a) compute P(A and B)

b) If P(A|B) = 0.7, compute P(A and B).

Answer:

(a) P(A and B) = 0.16

(b) P(A and B) = 0.56

Step-by-step explanation:

Two events are independent if occurrence of one event does not affect possibility of occurrence of another.

(a) if A and B are independent, then P(A and B) = P(A) x P(B)

                                                                               = 0.2 x 0.8

                                                                               = 0.16

(b)  If P(A|B) = 0.7, compute P(A and B)

Considering the notations of independent events,

\(P(A/B) = P(A)\\\\\frac{P(A \ and \ B)}{P(B)} = P(A)\\\\Thus, P(A/B) = \frac{P(A \ and \ B)}{P(B)}\\\\P(A \ and \ B) = P(A/B) *P(B)\)

                     = 0.7 x 0.8

                     = 0.56

Answer:

The mean length of time is 27 minutes.

Step-by-step explanation:

To find the mean, we have to first calculate x and fx.

(0+12)/2=6

(12+24)/2=18

(36+48)/2=42

(48+60)/2=54

Now we have x, and f

Calculate fx by multiplying:

6×11=66

18×25=450

30×23=690

42×15=630

54×6=324

The mean is the sum of fx/sum of f

(66+450+690+630+324)/(11+25+23+15+6)=27

Hope this helps!

The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).

The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.

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Answer:

8

Step-by-step explanation:

Answer:

x = 10°

Step-by-step explanation:

By the inscribed angle theorem, the measure of an inscribed angle is half the measure of the intercepted arc.

So

x =( x + 10 )/2

2x = x + 10

2x - x = 10

x = 10°

Hope it will help :)

If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.

Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.

First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:

Social Security tax = $102,000 x 0.062 = $6,324

Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:

Social Security tax = $1,100 x 0.062 = $68.20

Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

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Answer:

X = 13

Step-by-step explanation:

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Answer:

20

Step-by-step explanation:

The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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Answer:

9 days is neeeded for Nadia to reach her goal

Answer:

divisible by 2

2,4,6,

8,10,12,14,16,18,20

divisible by4

4,8,13,16,20

divisible by 6

6,12,

Answer:

Due to the test statistic, there is sufficient evidence to support the claim that the doors are too short.

Step-by-step explanation:

The null hypothesis is:

\(H_{0} = 2058\)

The alternate hypotesis is:

Since the sample mean is less than the expected mean, we test the

\(H_{1} < 2058\)

Our test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

A lumber company is making doors that are 2058.0 millimeters tall.

This means that \(\mu = 2058\)

A sample of 25 is made, and it is found that they have a mean of 2043.0 millimeters with a standard deviation of 6.0.

This means, respectively, that \(n = 25, \mu = 2043, \sigma = 6\)

Test statistic:

\(z = \frac{2043 - 2058}{\frac{6}{\sqrt{25}}}\)

\(z = -12.5\)

Looking at the z-table, z = -12.5 has a pvalue of 0 < 0.1, which means that there is sufficient evidence to support the claim that the doors are too short.

Answer:

9/20

Step-by-step explanation:

I'm assuming you have to give the probability as a fraction :)

6 + 5 = 11

20 - 11 = 9

9/20

Answer:

acute scalene triangles

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(3)=-5(x+5)

     =5(3) +5

     =15+5

f(3)      =20