What is the range of the function graphed below ?

The solution is: The roots of this equation are x = 6 and x = -8 are the x-coordinates of the solutions to this system of equations.

Here, we have,

To answer, substitute the value of y in the second equation to that of the first.

                                 x² + (x + 2)² = 100

Simplification leads to,

                                 x² + x² + 4x + 4 = 100

                                   2x² + 4x + 4 = 100

                                    x² + 2x - 48 = 0

The roots of this equation are x = 6 and x = -8.

Thus, the answer is letter C.

Hence, The solution is: The roots of this equation are x = 6 and x = -8 are the x-coordinates of the solutions to this system of equations.

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complete question:

What are the x-coordinates of the solutions to this system of equations?. x2 + y2 = 100. y = x + 2. Select one:. a. 2 and 10. b. 10 and -2. c. 6 and -8. d. 6 and 8

Answer:look at the pictures ⤵

Step-by-step explanation:

(a) Option A, if its value is a large positive number, statistic A x2 provides strong evidence for the alternative hypothesis.

(b) Option B, the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals.

(c) Option B, the variables considered in the chi-square test for the evaluation of contingency table B are categorical variables.

(a) If the x2 statistic is a large positive number, it provides strong evidence for the alternative hypothesis. The x2 statistic is used in hypothesis testing to determine if there is a significant difference between observed and expected frequencies. Large positive values ​​indicate that the observed frequency is significantly different from the expected frequency, supporting the alternative hypothesis.

(b) The hypotheses tested in the chi-square test for the contingency table are the null hypothesis that gender is not related to personal goals and the alternative hypothesis that gender is related to personal goals. personal goals. This test determines whether there is a significant relationship between two categorical variables.

(c) The variables considered in the chi-square test used to evaluate the contingency table are categorical variables. These variables cannot be assumed to be mean or normally distributed. The chi-square test is used to analyze the relationship between two or more categorical variables, where each variable has a discrete set of categories.

Complete Question:

For each problem, select the best response (a) A x2 statistic provides strong evidence in favor of the alternative hypothesis if its value is A. a large positive number. OB. exactly 1.96 c. a large negative number. D. close to o E. close to 1. (b) A study was performed to examine the personal goals of children in elementary school. A random sample of students was selected and the sample was given a questionnaire regarding achieving personal goals. They were asked what they would most like to do at school: make good grades, be good at sports, or be popular. Each student's sex (boy or girl) was also recorded. If a contingency table for the data is evaluated with a chi-squared test, what are the hypotheses being tested? A. The null hypothesis that boys are more likely than girls to desire good grades vs. the alternative that girls are more likely than boys to desire good grades. OB. The null hypothesis that sex and personal goals are not related vs. the alternative hypothesis that sex and personal goals are related. C. The null hypothesis that there is no relationship between personal goals and sex vs. the alternative hypothesis that there is a positive, linear relationship. OD. The null hypothesis that the mean personal goal is the same for boys and girls vs. the alternative hypothesis is that the means differ. O E. None of the above. (C) The variables considered in a chi-squared test used to evaluate a contingency table A. are normally distributed. B. are categorical. C. can be averaged. OD. have small standard deviations. E. have rounding errors.

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Answer:

1/4

Step-by-step explanation:

5/20 donus had sprinkles

So the probability will be 5/20 = 1/4

Answer:

x = 20

Step-by-step explanation:

Because these are alternate interior angles, 2x+20 and 3x are equivalent to each other. Therefore, we can set up this equation:

2x+20 = 3x

Now, we can solve this equation and find x:

20 = 3x-2x

x = 20

These provided angle measures (3x and 2x + 20) are a pair of alternate interior angles because they satisfy the following required conditions:

Since the two angles ARE alternate interior angles, they are EQUAL! Therefore, we can equate the two angles and solve for the variable (x).

{2x + 20 is equal to 3x} ⇒ 2x + 20 = 3x

The key step in solving the linear equation is to ISOLATE the variable completely by removing the coefficient until you have 1 as the coefficient.  

There are 4 possible ways to isolate the variable:

Once your variable is completely isolated, simplify (if possible) on the other side of the equation. If the opposite side of the variable is simplified, you can conclude your solution for the linear equation.

Now, let us solve the equation using the above step by step processes.

Isolating the variable from the constant(s) on the R.H.S:  

Simplify both sides of the equation:

Therefore, the solution to the linear equation (x) is 20.

__________________________________________________________

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Answer:

the replica is 14ft tall

Step-by-step explanation:

Answer: B

Step-by-step explanation:

7(-2) - 4(1) = -18

-14 - 4 = -18

-18 = -18

TRUE

(-2) + 12(1) = 10

-2 + 12 = 10

10 = 10

TRUE

1. AABBCCDD: The probability of this happening is \(1/16\), since each parent would need to contribute a dominant allele for each gene.

2. AABBCcDD:  This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is  = 1/128.

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

3. The probability of this happening is 1/32.

AaBbCcDd : The probability of this happening is  1/256.

4. aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is  1/128.

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is  1/32.

To solve this problem, we need to use the principles of probability and Punnett squares.

For a tetrahybrid cross, we need to consider the four genes independently and combine the probabilities of each gene's alleles.

Assuming that A, B, C, and D are dominant alleles, and a, b, c, and d are recessive alleles, we can create a Punnett square for each gene, which would look like this:

A  |  A  |  a  |  a  

---|-----|-----|----

B  |  B  |  b  |  b  

---|-----|-----|----

C  |  C  |  c  |  c  

---|-----|-----|----

D  |  D  |  d  |  d  

Each box in the Punnett square represents a possible combination of alleles from the two parents.

For example, the top-left box represents offspring that inherit an A allele from the mother and an A allele from the father.

We can use these Punnett squares to calculate the probabilities of each genotype in the F2 offspring.

AABBCCDD - This genotype can only be produced if both parents are homozygous dominant for all four genes.

The probability of this happening is \((1/2)^4 = 1/16\) , since each parent would need to contribute a dominant allele for each gene.

AABBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D.

The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128\)

b) If one parent is homozygous dominant for A and B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A and B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is\(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32\)

AaBbCcDd - This genotype can be produced in 16 ways, since each gene can be inherited in two different ways (dominant or recessive).

The probability of this happening is \((1/2)^8 = 1/256.\)

aaBBCcDD - This genotype can be produced in two ways:

a) If both parents are homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D. The probability of this happening is\((1/2)^4 * 1/2 * (1/2)^3 = 1/128.\)

b) If one parent is homozygous recessive for A, homozygous dominant for B, heterozygous for C, and homozygous dominant for D, and the other parent is heterozygous for A, homozygous dominant for B, homozygous dominant for C, and heterozygous for D.

The probability of this happening is \(2 * (1/2)^4 * 1/2 * 1/2 * 1/2 = 1/32.\)

Note that we have assumed independent assortment of the four genes, which means that the inheritance of one gene does not affect the inheritance of another gene.

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first f(-4)=-4(2)-(-4)

=-8+4

=-4

answer :-4

The peaks you would expect for the distribution described is A) None.

We would not expect any peaks in the distribution of numbers of people with birthdays in a particular month. This is because birthdays are evenly distributed throughout the year, and there is no reason to expect more people to be born in one month than another. Therefore, the distribution should be relatively flat, with no peaks or valleys.

To visualize this, imagine a histogram with the months on the x-axis and the number of people with birthdays in that month on the y-axis. Each bar should be roughly the same height, indicating that there are no peaks in the distribution.

In conclusion, we would expect no peaks in the distribution of numbers of people with birthdays in a particular month.

Hence Option A is correct.

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Answer:

ABGE is a parallelogram because it has congruent sides

Step-by-step explanation:

:-)

Answer:

2. Smooth paint

Step-by-step explanation:

Im pretty sure that's the answer, good luck!

Answer:

B. Smooth paint

Step-by-step explanation:

Glide Paint is $3.61 per pint

Smooth Paint is $3.79 per pint

One Coat is $0.26 per pint

Answer:

193.2

Step-by-step explanation:

To solve the triangle:

5.2 × 6= 31.2

You would normally find half of that since it's a triangle but there are two triangles, so each would equal half of 31.2 but if you add both halves that just equals 31.2.

Square one:

9 × 6= 54

All three squares are equal since they have the same measurements.

 54 + 54 + 54= 162

162 + 31.2= 193.2                                                              

Answer:

Only the second equation is an identity

Step-by-step explanation:

1)

\(1+\dfrac{\cos^2\theta}{\cot^2\theta(1-\sin^2\theta)}= \\\\\\1+\dfrac{\cos^2\theta}{\cot^2\theta(\cos^2\theta)}= \\\\\\1+\dfrac{1}{\cot^2 \theta}= \\\\\\1+\tan^2\theta=\sec^2\theta\neq 2\sec^2 \theta\)

This one is not an identity.

2)

\(19\cos \theta\left( \dfrac{1}{\cos \theta}-\dfrac{\tan \theta}{\csc \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1}{\cos \theta}-\dfrac{\sin^2 \theta}{\cos \theta} \right)= \\\\\\19\cos \theta \left( \dfrac{1-\sin^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta \left( \dfrac{\cos^2 \theta}{\cos \theta}\right)= \\\\\\19\cos \theta (\cos \theta)= \\\\\\19\cos^2 \theta = 19\cos^2 \theta\)

This one is an identity. Therefore, only the second equation is an identity. Hope this helps!

Answer:

the person above me is right :)

Step-by-step explanation:

Answer:

41+42=83 ... therefore these are the required integers.

Step-by-step explanation:

Answer:

1st equation

2x-y=17

x-y=10

Answer:

subtract equation 1 by 2 I,e

2x-y=17

-x+y=10

which is eqult to

x=7

Answer:

N - 3

Step-by-step explanation:

It is a series of -3 so:

7 -3 = 4

4 - 3 = 1

1 - 3 = -2

So:

N-3

where N is the present value in the sequence.

It is most important to have a random sample in inferential statistics, particularly in making statistical inferences about a population based on the sample data.

Random sampling is a critical component of inferential statistics because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the sample, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.

Therefore, random sampling is crucial in making valid statistical inferences about a population.

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Answer:

1/2 or like 1/40

Step-by-step explanation:

a) F(s) = s+7 / s²-6s+8Answer:Using partial fractions decomposition,F(s) = [A/(s-2)] + [B/(s-4)] + C(s+7),where A, B, and C are constants.

Now,C(s+7) = A(s-4) + B(s-2) + (C(s+7))(s²-6s+8)Taking s = 4, we get A = 3.Using s = 2, we get B = -1.Then,C(s+7) = 3/(s-2) - 1/(s-4) + (s+7)/(s²-6s+8)Taking the inverse Laplace transform, we get f(t) = 3e2t - e4t + e3t cos t

We can find the Inverse Laplace transforms using the following steps:First, we apply partial fraction decomposition to simplify the fraction.Second, we use the properties of the inverse Laplace transform to convert the fraction back to the time domain.The final step involves algebraic manipulation of the Laplace transform to obtain the inverse transform.b) F(s) = 18s-12 / 9s²-1Answer:Using partial fractions decomposition,F(s) = [2/(3s-1)] - [2/(3s+1)] where we have assumed the roots to be 1/3 and -1/3 respectively.Taking the inverse Laplace transform, we get f(t) = 2e-t/3 - 2e-t/3

Similar to the previous part, we need to simplify the fraction using partial fraction decomposition. Then, we use the properties of the inverse Laplace transform to obtain the inverse transform.c) F(s) = s / (s²-2) + 3/(s²+2)Answer:Using partial fractions decomposition,F(s) = [As + B]/(s²-2) + [Cs + D]/(s²+2)Now,As + B = s, Cs + D = 3Taking s = 0, we get B = 0 and D = 0.Taking s = 1, we get A = 1/2 - C.Taking s = i, we get iA + Ci = 0Therefore, A = C = 1/2.Substituting these values, we get F(s) = [(1/2)s/(s²-2)] + [(1/2)3/(s²+2)]Taking the inverse Laplace transform, we get f(t) = (1/2)√2e√2t + (3/2)sin(t√2)

We first simplify the fraction using partial fraction decomposition. Then, we use the properties of the inverse Laplace transform to obtain the inverse transform. The final expression is in the time domain where we can see how the original function behaves over time. In summary, inverse Laplace transforms are used to convert a function from the frequency domain to the time domain. The process involves simplifying the fraction using partial fractions decomposition and using the properties of the inverse Laplace transform.

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Answer:

15 markers in all

Step-by-step explanation:

5 + 2 + 3 + 5 =

5 + 5 = 10

+

2 + 3 = 5

=

10 + 5 = 15

Brainliest Please!!

Answer:

37.5%

Step-by-step explanation:

The percentage of the punch in cranberry juice will be 37.50%.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Diane makes fruit punch with 3 cups of cranberry juice, 2 cups of mandarin orange juice, and 3 cups of watermelon juice.

The percentage of the punch in cranberry juice will be given as,

P = [3 / (3 + 3 + 2)] x 100

P = (3 / 8) x 100

P = 0.375 x 100

P = 37.50%

The percentage of the punch in cranberry juice will be 37.50%.

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Answer:

70%

Step-by-step explanation:

21/30=0.7

A baseball bat strikes a ball with an average force of 2.0 x 104 Newtons. if the bat stays in contact with the ball for a distance of 5.0 x 10-3 meter , then the kinetic energy will be 2× 10^2 J

kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is 1/2 mv²

Favg= -1/2 MV2

Favg = -1 2 ( 5.0 x 10-3)^2

Favg = - 1/2 ×25 × 10 ^-6

Favg = 2× 10^2 J

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Answer:

3, -3

Step-by-step explanation:

3 has an absolute value of 3 because it is 3 units away from zero.

-3 has an absolute value of 3 because it is 3 units away from zero.

I hope this helps!!

Answer:

1.35 kg

Step-by-step explanation:

450/ 6= 75

75 x 18= 1350 grams

1.35 kg

Hassan needs 1.35 kg of rice for 18 people.

"It is a method of finding the value of a single unit."

For given question,

Hassan needs 450 grams of rice for 6 people

Let he needs 'x' grams of rice for 1 person.

By unitary method,

\(\Rightarrow x=\frac{450}{6}\\\\\Rightarrow x=75~~grams\)

So, the amount of rice for 18 people would be,

⇒ 18x

= 18 × 75

= 1350 grams

= 1.35 kg                                  ......................(1000 grams = 1 kg)

Therefore, Hassan needs 1.35 kg of rice for 18 people.

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Answer:

no solution

Step-by-step explanation:

x=(16-2y)/7

-21*(16-2y)/7-6y=24

-3(16-2y)-6y

-48+6y-6y=24

-48=24

you can't solve for the variables

There is no solution for given system of equations.

The given equations are,

                      \(7x+2y=16\\\\x=\frac{16-2y}{7}\)

Another equation is, \(-21x-6y=24\)

Substitute value of x in above equation.

               \(-21(\frac{16-2y}{7} )-6y=24\\\\-48+6y-6y=24\\\\-48\neq 24\)

Thus, there is no solution for given system of equations.

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Answer:

for #1: the new price is $37.80 and the amount discounted was $7.20

Step-by-step explanation:

convert 16% to a decimal and multiply to find how much discounted then subtract that from the initial value

0.16*45= 7.20

45-7.20= 37.80

did u need the others too?

Answer:

$7.20

$0.636

$27.50

$53.3333333333

Step-by-step explanation:

16% × $45 = $7.20

8% × $7.95 = $0.636

$5.50 = 20%

20% × 5 = 100%

$5.50 × 5 = $27.50

$16 = 30%

30% × 3 and 1/3 = 100%

By solving the question by the method of probability we can conclude that the answer would be 11/20.

Probability is the research of probabilities, which also are based on the ratio of favourable events to likely circumstances. One of the areas of probability theory is the estimation of the chance of experiments occurring. With a probability, we can calculate any number of things, from the probability of obtaining a head or a tail when flipping a coin towards the likelihood of generating a research error, for example.

We can use the law of total probability to find the probability that Mason does not arrive at work by 9 am. Let A be the event that Mason's bus arrives on time, and let B be the event that he arrives at work by 9 am. Then we have:

P(B) = P(A) * P(B|A) + P(~A) * P(B|~A)

where ~A represents the event that Mason's bus is late. We are given that:

P(A) = 1/2, P(B|A) = 3/4, P(B|~A) = 3/10

Substituting these values, we get:

P(B) = (1/2) * (3/4) + (1/2) * (3/10) = 9/20

Therefore, the probability that Mason does not arrive at work by 9 am is:

P(~B) = 1 - P(B) = 1 - 9/20 = 11/20

So the answer is 11/20.

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