a- b for
for a= (-7) and b = 30

Answer:

A.Yes B.Yes C.No D.Yes E.No F.No

Step-by-step explanation:

10% of 84 is 8.4 and 84-8.4=76.6 and anything between 76.6-84 could have been the estimate.

Answer:

a

Step-by-step explanation:

The length of the fabric which Brandon formed a rectangle, is 11 inches.

To find the length of the fabric, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the length of the fabric is one of the other two sides, and the diagonal cut is the hypotenuse. So, we can write the equation:

\(L^2 + 5^2 = 13^2\)

where L is the length of the fabric.

Solving for L, we get:

\(L^2 = 144 - 25 = 119, and L =\sqrt{119} = 11.\)

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In response to the query, we can state that Hence, P"s coordinates are coordinates  (3, 4).

When locating points or other geometrical objects precisely on a manifold, such as Euclidean space, a coordinate system is a technique that uses one or more integers or coordinates. Locating a point or item on a two-dimensional plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations. The figure often has two numbers. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are 12 units below and 5 above.

A point's y-coordinate changes sign when it is reflected across the x-axis, but its x-coordinate stays the same.

Hence, we must modify the sign of the y-coordinate while leaving the x-coordinate unaffected in order to reflect point P(3,-4) across the x-axis. The reflected point P' will therefore have coordinates (3, 4).

Hence, P"s coordinates are (3, 4).

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Answer:

x=3

Step-by-step explanation:

put the value of y=20 in equation

20=2(x+7)

20=2x+14

20-14=2x

6=2x

6/2=x

x=3

Answer:

x=-17

Step-by-step explanation:

-2(x+7)=20

distibute the -2

-2x-14=20

add 14 to both sides

-2x=34

divide by -2

x=-17

The mathematicians credited with developing the mathematical models that predict population growth in each of two competing species are Rosenzweig and MacArthur(OPTION A).

These two scientists developed a theory known as the "competitive exclusion principle," which states that two species competing for the same resources cannot coexist indefinitely. Instead, one species will eventually outcompete and displace the other species.
Rosenzweig and MacArthur's model is based on the Lotka-Volterra equations, which are a set of differential equations that describe the dynamics of predator-prey relationships. They extended this model to include two competing species and developed the concept of the "ecological niche" – the specific set of environmental conditions under which a species can survive and reproduce.
Their model predicts that the two species will reach a stable equilibrium, where their populations remain relatively constant over time. However, the exact outcome of the competition depends on several factors, including the initial population sizes of the two species, the relative strengths of their ecological niches, and the availability of resources.
Overall, Rosenzweig and MacArthur's mathematical model has been influential in the field of ecology, providing a framework for understanding how competing species interact and how ecosystems evolve over time.

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Answer:

B: 395

Step-by-step explanation:

Answer:400

Step-by-step explanation:

Answer:

374 °F

Step-by-step explanation:

Data obtained from the question include the following:

Temperature (°C) = 190 °C

Temperature (°F) =?

Recall:

The conversion scale of temperature from °F to °C is given by the following equation:

C = 5/9(F – 32)

Next, we shall make F the subject of the formula. This can be obtained as follow:

C = 5/9(F – 32)

Cross multiply

5(F – 32) = 9C

Divide both side by 5

F – 32 = 9C/5

Rearrange

F = 9C/5 + 32

With the above formula, we can convert 190 °C to °F as follow:

Temperature (°C) = 190 °C

Temperature (°F) =?

F = 9C/5 + 32

F = 9 × 190/5 + 32

F = 1710/5 + 32

F = 342 + 32

F = 374 °F

Therefore, Teo will set the oven to 374 °F

Assuming the track is straight, the distance at which they are apart one hour before they meet is; 30 km

We are told that a Nonstop trains leave Toronto and Montreal at the same time each day going to the other city along the main line.

Speed of Train 1 = 120 km/h

Speed of Train 2 = 90 km/h

Time spent by train 1 = 1 hour

Time spent train 2 = 1 hour

Formula for distance is;

Distance = Speed * time

If they leave the same time each day, it means that;

Distance of train 1 = 120 * 1 = 120 km

Distance of train 2 = 90 * 1 = 90 km

Thus, distance at which they will be apart before meeting each other is;

Distance apart = 120 - 90

Distance apart = 30 km

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y=−8x/3−2. is the equation of line perpendicular to 3x - 8y = -7

In elementary geometry, two geometric objects are perpendicular if they cross at a right angle. The perpendicular sign can be used to graphically express the state of perpendicularity. It is described as the intersection of two lines, two planes, or two planes and a line.

The equation of the line in the slope-intercept form is y=3x/8+7/8.

The slope of the perpendicular line is negative inverse: m=−8/3.

So, the equation of the perpendicular line is y=−8x/3+a.

To find a, we use the fact that the line should pass through the given point: 6=(−8/3)⋅(−3)+a.

Thus, a=−2.

Therefore, the equation of the line is y=−8x/3−2.

y=−8x/3−2. is the equation of line perpendicular to 3x - 8y = -7

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The rate of change in altitude of the plane during the time is 625 ft/min.

Given the Parameters:

Altitude at 2.40 pm = 30000 feets

Altitude at 2.48 pm = 25000 feets

Rate of change = change in altitude/change in time

change in time = 2.48 - 2.40 = 8 minutes

change in altitude = 30000 - 25000 = 5000 feets

Rate of change = 5000/8 = 625 feets per minute

Therefore, the rate of change in altitude of the plane is 625 ft/min.

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Answer:

Let's call the two numbers x and y. Then, we can set up the following system of inequalities based on the given information:

x + y ≥ 5 (the sum of the two numbers is at least 5)

x + 2y ≤ 10 (the sum of the first number and 2 times the second number is at most 10)

To solve for the possible values of x and y, we can use algebra.

First, we can rearrange the second inequality to solve for x:

x ≤ 10 - 2y

Then, we can substitute this expression for x into the first inequality:

10 - 2y + y ≥ 5

Simplifying, we get:

y ≤ 5

Substituting this inequality back into the first inequality, we can solve for x:

x ≥ 5 - y

Combining these two expressions for x and y, we get:

5 - y ≤ x ≤ 10 - 2y

Therefore, the possible values for x and y that satisfy the given conditions are all pairs of numbers where x is between 5 - y and 10 - 2y, and y is less than or equal to 5.

Answer:

y=4x+4

Step-by-step explanation:

using y=mx+b, y is y since we are writing a function. 4 would be the slope, as that is added per minute, so that takes the place of m, and x stays the same, which leaves b, the y intercept, to be 4. this is because the barrel already had 4 gallons inside before.

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

To find the zeros of the function y = tan(2x), we can utilize the fact that tan(x) is equal to sin(x)/cos(x).

Given y = tan(2x), we can rewrite it as:

y = sin(2x) / cos(2x)

Now, let's consider the numerator of this expression, which is sin(2x). If we set sin(2x) equal to zero, we can determine the values of x that make the numerator zero:

sin(2x) = 0

By solving this equation, we can find the zeros of sin(2x). The solutions will be the values of x for which sin(2x) equals zero.

Similarly, we can look at the denominator of the expression y = sin(2x) / cos(2x), which is cos(2x). If cos(2x) equals zero, the denominator will be zero, which leads to undefined values for y. These points will be vertical asymptotes of the function tan(2x).

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

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Answer:

6 3/250

Step-by-step explanation:

Follow me

Peace out!

Answer15

Step-by-step explanation:

Answer:

- 36

Step-by-step explanation:

-25 - 14 + 3     Notice that +-14 reduces down to - 14. The answer becomes       -39 + 3 = - 36

Answer:

thx

Step-by-step explanation:

really needed them and merry christmas

The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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Answer:

36 people would order chicken.

Step-by-step explanation:

Case I: (50 People in Total)

Total Number of People Ordering=8+10+18+14=50

Percentage of People ordering chicken=people ordering chicken/total number of people=18/50=0.36%

Case II: (100 People in Total)

Number of People ordering chicken=percentage of people ordering chicken x total number of people=0.36 x 100=36

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Answer:

Interest =$360

Balance =$960

Step-by-step explanation:

Interest = Principal *Rate * Time

             = \(\frac{600 * 6 * 10}{100}\)

             = $360

∴ The balance will be $600 + 360 = $960

Answer:

the answer is $960

Step-by-step explanation:

Mr. McMahon expected a semi-annual probability of default of 35.7% on the bond.

How to solve?

To solve this problem, we can use the formula for the present value of a bond:

PV = (C/r) ×[1 - 1/(1+r)²n] + F/(1+r)²n

where PV is the present value of the bond, C is the semi-annual coupon payment, r is the semi-annual yield rate, n is the number of semi-annual periods, and F is the face value or redemption value of the bond.

We know that Mr. McMahon paid $880 for a $1000 bond, so the present value of the bond is PV = $880. The redemption value of the bond is F = $1000, and the yield rate that he desired was r = 8% per year, compounded semi-annually. Therefore, the semi-annual yield rate is:

i = 0.08/2 = 0.04

We can use the formula to solve for the number of semi-annual periods:

PV = (C/i) ×[1 - 1/(1+i)²n] + F/(1+i)²n

$880 = ($45/i) ×[1 - 1/(1+0.04)²(220)] + $1000/(1+0.04)²(220)

Solving for i gives:

i = 0.0517 or approximately 5.17%

This is the semi-annual yield rate that Mr. McMahon actually received on the bond. To find the semi-annual probability of default that he expected, we can use the formula for the expected yield rate of a bond:

yield = (1 - probability of default) ×(yield rate on the bond) + (probability of default) ×(recovery rate)

where the recovery rate is the percentage of the face value that would be recovered in the event of default.

Assuming that the recovery rate is zero (meaning that in the event of default, Mr. McMahon would receive nothing), we can solve for the probability of default:

0.08 = (1 - p) ×0.0517 + p ×0

Solving for p gives:

p = 0.357 or approximately 35.7%

Therefore, Mr. McMahon expected a semi-annual probability of default of 35.7% on the bond.

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Answer: the closest i got to was A

Step-by-step explanation: 8 + 64 = 72/16 = 4.5

Given,

A jet travels 6320 miles in 8 hours.

Flying with the wind, the same jet travels 5950 miles in 5 hours.

To find: The rate of the jet in still air, and the rate of the wind.

Solution:

The jet's velocity against the wind is

The jet's velocity with wind is

Let the velocity of the jet in still air be x miles per hour and velocity of wind be y miles per hour.

As such its velocity against wind is x-y and with wind is x+y and therefore

Solve both equations (1) and (2)

And

Hence, the velocity of the jet in still air is 990 miles per hour and the velocity of wind is 200 miles per hour.

Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

30

Step-by-step explanation:

6 = 6, 12, 18, 24, 30, 36

5 = 5, 10, 15, 20, 25, 30, 35

Answer:

30°

Step-by-step explanation:

complementary angles sum to 90°

then the complement of 60° = 90° - 60° = 30°