When factored, the trinomials x2 + 2x − 15 and x2 + 7x + 10 have one binomial factor in common. What is this factor?

Answer:

C. Mara wished she could visit the stars: she often dreamed of it.

Answer:

there are no functions her pls add them for an answer:)

Step-by-step explanation:

Answer:

1/5 is the lowest fraction term for 0.20

Answer:

997

Step-by-step explanation:

Well let's find the square root of 2011 because Paul and his wife are about the same age.

\(\sqrt{2011}\)

= 44.8

Paul is 45 and his wife is 44.

44 + 45 = 1980.

2011 - 1980

= 31

So the children are 15 and 16.

45 + 44 + 15 + 16

= 997

Paul and wife - 45 and 44

Children - 15 and 16

Thus,

13 years ago they would be 997.

Hope this helps :)

The variables examined in the study show the number of hospital visits for cooking-related knife injuries and their frequency during major holidays. The data compiled from emergency departments shows that there is a significant increase in the number of hospital visits for such injuries around major holidays.

This suggests that there may be a correlation between the holidays and the use of knives in cooking, possibly due to increased meal preparation and cooking during these times. Other variables that could be examined in further studies include the types of knives and cooking equipment used, the types of foods being prepared, and the demographics of those who sustain these injuries.

Variables refer to any characteristic, quantity, or attribute that can be measured and that can fluctuate or vary. Variables are of two types:

An independent variable is one that is thought to influence the dependent variable, which is the characteristic or response that is being measured.

The variables examined in the study indicate that the number of hospital visits for cooking-related knife injuries increases around major holidays. This implies that there is a direct relationship between cooking and knife injuries on major holidays. As a result, measures must be put in place to reduce the risk of knife injuries during the holidays. This includes the creation of awareness campaigns and the promotion of safety in the kitchen.

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Therefore, the equation of the tangent line to the curve xe^y + ye^x = 2 at the point (0, 2) is y = -x + 2.

To find an equation of the tangent line to the curve xe^y + ye^x = 2 at the point (0, 2), we need to use the concept of differentiation.

First, we differentiate both sides of the equation with respect to x using the product rule and the chain rule:

(d/dx)[xe^y] + (d/dx)[ye^x] = (d/dx)[2]

e^y + xe^y(dy/dx) + e^x(dy/dx) + ye^x = 0

Simplifying this expression and evaluating it at the point (0, 2), where x = 0 and y = 1, we get:

e^1 + 0 + e^0(dy/dx) + 2e^0 = 0

dy/dx = -1

Therefore, the slope of the tangent line at the point (0, 2) is -1.

Next, we can use the point-slope form of a line to find the equation of the tangent line. We know the slope is -1 and the point (0, 2) lies on the line, so we can write:

y - 2 = -1(x - 0)

Simplifying this expression, we get:

y = -x + 2

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Answer:

Total number of stamps is 600

Number of stamps collected from Europe is 150

Number of stamps collected from America is 200

Step-by-step explanation:

1/3 of stamps collected are from America

1/4 of stamps collected are from Europe

While 250 stamps are from Africa and Asia

Now what this means is that the fraction remaining when we subtract the sum of 1/3 and 1/4 is what is equal to 250

Firstly, let’s say the total stamp is x

Now the fraction of x equal to 250 would be ;

1-1/3-1/4 = 1-(1/3 + 1/4) = 1-(7/12) = 5/12

Now, 5/12 of x = 250

5/12 * x = 250

5x = 12 * 250

5x = 3,000

x = 3,000/5

x = 600 stamps

Thus, the total number of stamps collected is 600

The number collected from America is 1/3 * 600 = 200

The number collected from Europe is 1/4 * 600 = 150

Answer:

-1……..........................

Answer:I got -1

Step-by-step explanation: so I followed the equation to find slope m=y2-y1/x2-x1. And it ended up being 1+4/-2-3=5/-5 or -1 I hope this helps

As per the unitary method,  the best estimate of the number of passengers is 9 x 10⁸

the term unitary method in math is defined as the quantity of one object when the quantity of another object and the ratio between two are given.

Here we have given that in 2015, about 895. 5 million passengers traveled by plane in the united states.

And we need to find  the best estimate of the number of passengers

While we looking into the given question, we know that the about 895. 5 million passengers traveled by plane in the united states.

So, it can be written as,

=> x = 895.5 million

Here we know that 1 million = 1 x 10⁶

So, it can be rewritten as the number of passengers as,

=> x = 895.5 x 10⁶

Here we have to round off the values, then we get

=> x = 900 x 10⁶

When we further simplify this then we get

=> x = 9 x 10⁸

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hope it helps you ma'am or sir

Check the picture below.

Answer:

7 m 2

Step-by-step explanation:

3.5 x 4 = 14/2 = 7

The base area of the triangular prism will be 7 square meters. Then the correct option is D.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

A triangular prism has a height of 11 meters and a base with the following measurements. All dimensions are in meters.

Then the base area of the triangular prism will be

Area = 1/2 x 4 x 3.5

Area = 7 square meters

Thus, the correct option is D.

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As integers, proper or improper fractions in simplest form, or decimals

rounded to the nearest hundredth is \(u=-13+\sqrt{218}, u=-13-\sqrt{218}\)

What is fractions?

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

\(u^2+26 u-49=0\)

Solve with the quadratic formula

\(u_{1,2}=\frac{-26 \pm \sqrt{26^2-4 \cdot 1 \cdot(-49)}}{2 \cdot 1}\)

\(\sqrt{26^2-4 \cdot 1 \cdot(-49)}=2 \sqrt{218}\)

\(u_{1,2}=\frac{-26 \pm 2 \sqrt{218}}{2 \cdot 1}\)

Separate the solutions

\($$u_1=\frac{-26+2 \sqrt{218}}{2 \cdot 1}, u_2=\frac{-26-2 \sqrt{218}}{2 \cdot 1}$$\)

\(u=\frac{-26+2 \sqrt{218}}{2 \cdot 1}: \quad-13+\sqrt{218}\)

The solutions to the quadratic equation are:

\($$u=-13+\sqrt{218}, u=-13-\sqrt{218}$$\)

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Answer:

True

Step-by-step explanation:

Answer:

Step-by-step explanation:

asdfasdf

Answer:

90

Step-by-step explanation:

First, let's make a line of separation to make a rectangle and triangle.

Now, we know the area of a rectangle is l × w, where l = length and w = width. The length and width of this rectangle is is 8 and 9, so 8 × 9 = 72.

Next, the area of a triangle is bh ÷ 2, where b = base and h = height. We're given the base of the triangle as 9 m. To find the height, we subtract 8 from 12 and get 4. 9 multiplied by 4 is 36, and 36 divided by 2 is 18.

Lastly, we combine the area of the rectangle and triangle. 72 + 18 = 90.

Therefore, the answer is 90 m^2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Math SAT scores explain about 98.7% of the variation in the total SAT scores.

In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.

A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.

Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.

In context, math SAT score explains about 98.7% of the variation in total SAT score.

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The df that will be used if a simple main effect is examined from a-two factor ANOVA with two levels in each factor and n = 4 individuals in each level is 1, 12. So, the correct option is option c. 1,12.

If a simple main effect is examined from a two-factor ANOVA with two levels in each factor and n = 4 individuals in each level, the degrees of freedom (df) that will be used are:

For the main effect of one factor (either Factor A or Factor B), the df will be calculated as follows:

1. Between-group df: number of levels - 1 = 2 - 1 = 1
2. Within-group df: (number of levels * (n - 1)) = 2 * (4 - 1) = 2 * 3 = 6

So, the df for the main effect of one factor is 1 (between-group) and 6 (within-group).

Now, let's calculate the error df for the interaction effect between the two factors:

Error df = (Factor A levels - 1) * (Factor B levels - 1) * n = (2 - 1) * (2 - 1) * 4 = 1 * 1 * 4 = 4

Therefore, df = 1, 12. So, the correct answer is option c. df-1, 12.

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The percent chance that the child will be a daughter with DMD is 25%.

1. Individual 1-3 is represented by a shade square, indicating that it is an affected male. Therefore, he must have a genotype of Xdy. If he has a child with a DMD carrier ( XDXd), the cross would be:

XD Xd

__________________

Xd |XD Xd Xd Xd

Y |XDY XdY

2. In order for a daughter to be affected, her genotype must be xdxd. Only one box has this genotype, so the chances of having an affected daughter is:

¼=25%

Duchenne muscular dystrophy or DMD is a genetic disease caused by mutations in the dystrophin gene, a protein that is important for muscle function.

The disease is inherited as a recessive x-linked Trait, but about 30 percent of cases are caused by a new mutation.

The dystrophin gene mutation will cause limited formation of the dystrophin protein, causing muscle weakness.

At first, DMD sufferers may experience a little difficulty moving or walking. Gradually, the disease can progress to the point where the patient cannot move and uses a wheelchair.

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Answer: 17/28

Step-by-step explanation:

Since there is a total profit of 6/7 million dollars and the spinning department gave a profit of 1/4 million, then the profit gotten from other departments will be the fraction of profit from the spinning department subtracted from the total profit. This will be:

= 6/7 - 1/4

= 24/28 - 7/28

= 17/28

The fraction of profit from other department is 17/28.

The horse's average speed for the race in units of kilometers per hour will be 178.06.

The winning horse in a recent race covered the 5.50-furlong distance in 22.37 seconds.

The distance covered by the particle or the body in an hour is called the average speed. It is a scalar quantity. It is the ratio of the total distance to the total time.

We know that the average speed formula is given as,

Average speed = Total distance / Total time

The conversion is given as,

1 furlong = 0.201168 km

5.50-furlong = 0.201168 x 5.5 km

5.50-furlong = 1.10642 km

1 second = 1/3600 hour

22.37 seconds = 22.37/3600 hour

22.37 seconds = 0.0062 hour

The average speed is calculated as,

Average speed = 1.10642 / 0.0062

Average speed = 178.06 km per hour

The horse's average speed for the race in units of kilometers per hour will be 178.06.

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Answer:

Step-by-step explanation:

Difference in the distance = 50 yards

Difference in speed = 8 - 6 = 2 y/s

Time to  cover the gap is:

Sandra will run the distance:

Answer:

A) 200 yards

Step-by-step explanation:

Difference in the distance = 50 yards

Difference in speed = 8 - 6 = 2 y/s

Time to  cover the gap is:

50/2 = 25 seconds

Sandra will run the distance:

25*8 = 200 yards

Answer:

A quadrilateral is a rectangle

Answer:

Step-by-step explanation:

(a) To find the height that represents the 90th percentile, we would need to use a standard normal distribution table and a Z-score. We need to first find the Z-score corresponding to the 90th percentile by solving for Z using the formula:

Z = (x - μ) / σ

Where x is the height at the 90th percentile, μ is the mean height (64.7 inches), and σ is the standard deviation (2.9 inches).

Z = (x - 64.7) / 2.9

Since the 90th percentile corresponds to a Z-score of 1.28, we can use the above formula to find x:

x = μ + Zσ

x = 64.7 + (1.28)(2.9)

x = 68.9 inches

So, the height that represents the 90th percentile is 68.9 inches.

(b) To find the first quartile (25th percentile), we would use a Z-score of -0.67.

x = μ + Zσ

x = 64.7 + (-0.67)(2.9)

x = 62.3 inches

So, the height that represents the first quartile is 62.3 inches.

Answer:

Step-by-step explanation:

b. 1/2n-4

The expression  \(\frac{1}{2} n-4\) represents four less than half a number, n. The correct option is b.

The concept of an algebraic expression (or) a variable expression is considered as a set of terms that have been combined using operations like addition, subtraction, multiplication, and division.

The half a number, \(n\) means \(\frac{1}{2}n\) .

As we know four less than \(x\) is \(x-4\).

Then, four less than half a number will be \(\frac{1}{2} n-4\).

So, the expression represents four less than half a number, \(n\) is \(\frac{1}{2} n-4\).

This means the correct option is b. \(\frac{1}{2} n-4\).

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Answer:

x =5.0

So just 5

Yeah I need 20 characters

x=5