39 Points, need this ASAP

If a = -9 and b = -4, what is the value of a + b ?

-5
5
13
-13

Answer:

\(\boxed{\sf{x=\dfrac{21}{4}=5.25 }}\)

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Use the distributive property.

Distributive property:

\(\Longrightarrow: \sf{A(B+C)=AB+AC}\)

Expand the form multiply.

4*x=4x

4*3=12

Rewrite the problem down.

4x-12=9

Add by 12 from both sides.

4x-12+12=9+12

Solve.

Add the numbers from left to right.

9+12=21

4x=21

Divide by 4 from both sides.

4x/4=21/4

Solve.

Divide the numbers from left to right.

x=21/4

21/4=5.25

x=21/4=5.25

I hope this helps you! Let me know if my answer is wrong or not.

The answer is B. Apply the distributive property to get 4x−12=9. You would do 4 times x to get 4x and then 4x3 to get 12. Then apply that information to the equation to get 4x−12=9.

Answer:

it would take 10 minutes if they worked together

Step-by-step explanation:

The total profit P in terms of x can be expressed as

P(x) =  (a - c) (a/(x-c) + b(95-x))

The selling price that will maximize profit is the positive constant, a in dollars.

To find the selling price that will bring a maximum profit, we need to find the derivative of the profit function P(x) and set it equal to 0.

The profit function P(x) is given by P(x) = nx - nc,

where n is the number of backpacks sold and c is the cost to manufacture and distribute each backpack.

Substituting the given expression for n into the profit function gives:

P(x) = (a/(x-c) + b(95-x))x - c(a/(x-c) + b(95-x))

P(x) = (a - c) (a/(x-c) + b(95-x))

To find the selling price that will maximize profit, we need to find the critical points of P(x) by taking the derivative of P(x) with respect to x and setting it equal to 0:

P'(x) = (a - c) (-a/(x - c)² - b) = 0

Thus P'(x) = 0 at c = a or (x - c)² = -a/ b

a and b are positive constants, so -a/ b is negative but (x - c)² is never negative, so it is not a possible solution.

So only solution is c = a, that is for maximum profit selling price, c should be equal to the positive constant, a.

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Answer:

Step-by-step explanation:

This can be reduced to the equivalent form 3y - 2x = -21 by dividing each term by 4.  

3y - 2x = -21 can be solved for y in terms of x as follows:

      2x - 21

y = -------------      This is a linear function.

           3

Likewise, 3y -2x = -21 can be solved for x in terms of y.

The experimental probability of an event is the ratio of the number of successful outcomes to the number of trials performed. In this case, the experimental probability of the spinner landing on red is given as 1/8, which means that for every 8 spins, it should land on red 1 time.

Option D : The experimental probability of the spinner landing on red is given as 1/8. If it landed on red 6 times, then the number of trials is

8 * 6 = 48.

The experimental probability of an event is the ratio of the number of successful outcomes to the number of trials performed. In this case, the experimental probability of the spinner landing on red is given as 1/8, which means that for every 8 spins, it should land on red 1 time.

To determine the number of trials that were performed, we need to know how many times the spinner landed on red. In this case, it landed on red 6 times.

Using the experimental probability,

Trials = Red spins * (1 / Experimental probability)

= 6 * (1 / 1/8)

= 6 * 8

= 48

Therefore, the number of trials performed is 48.

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Answer:

35 miles.

Step-by-step explanation:

A=3x+65

B=2x+100

3x+65=2x+100

x+65=100

x=35

Answer:

10t2+ 2

Step-by-step explanation:

9t^{2} x (t^{2} + 2) add 9t2, and t2 to get 10t2 + 2

A square pyramid has 4 triangles and the square base.

Calculate the area of one triangle, multiply that by 4 then add the area of the base.

Area of triangle = 1/2 x base x height = 1/2 x 5 x 12 = 30 square yards.

30 x 4 = 120 square yards

Area of base = 5 x 5 = 25 square yards

Total = 120 + 25 = 145 square yards.

Answer:

B but am not sure tho it's probably A

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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A = 1 and B = 5

3a + 11 = 14 || 3a = 3 || a = 1

7b - 13 = 22 || 7b = 35 || b = 5

Answer:

A= 1

B = 5

Step-by-step explanation:

3a + 11 = 14

A = 1

7b - 13 = 22

7b = 35

B = 5

The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.

Given that,

The function is f(x)= (x-5)³(x+2)²

We have to find at which root does the graph function touch the x-axis.

We know that,

Mathematical calculus' core component is functions. The unique forms of relationships are the functions. When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x.

Take the function

f(x) = (x-5)³(x+2)²

f(x) = 0 if a curve touches the x-axis.

⇒ (x - 5)³(x + 2)² = 0.

But if ab = 0

So, a=0 and b=0

⇒ (x - 5)³ = 0 and (x + 2)² = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x=5 and x=-2.

Therefore, The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.

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\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=x\\ h=12\\ V=602.88 \end{cases}\implies \begin{array}{llll} 602.88=\pi (x)^2(12)\implies \cfrac{602.88}{12\pi }=x^2 \\\\\\ \sqrt{\cfrac{602.88}{12\pi }}=x\implies 4.0\approx x \end{array}\)

(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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The law of syllogism makes this argument true if you have a cat, then it will chase mice and your cat will chase mice.

Legal syllogism is a legitimate concept that deals with the law and how it is applied, specifically a type of argument that uses deductive reasoning to determine whether a given act is legal.

It is given that:

The statement is:

If you have a cat, then it will chase mice.

As we know, from the definition of the Law of Syllogism, the legitimate concept that deals with the law and how it is applied, specifically a type of argument that uses deductive reasoning to determine whether a given act is legal.

Your cat will chase mice.

The Law of syllogism makes this argument true.

Thus, the law of syllogism makes this argument true if you have a cat, then it will chase mice and your cat will chase mice.

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Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

Since the given triangle is a right triangle, we can solve the missing side using the trigonometric functions of the angle.

The trigonometric function that involves the two legs of the triangle and not the hypotenuse is the tangent.

then,

solve the equation for x

Answer:A

Step-by-step explanation:

X=2(y+1)^2-6

The equation in the standard form is x = 2(y + 1)² – 8. Then the correct option is B.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

Convert –2y² + x – 4y + 6 = 0 into standard form.

Simplify the equation, we have

x = 2y² + 4y – 6

x = 2(y² + 2y) – 6

x = 2(y² + 2y + 1) – 2 – 6

x = 2(y + 1)² – 8

Then the correct option is B.

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Answer:

$40.8

Step-by-step explanation:

Use the formula

n(1+percentage given/100)\(x^{of the given year}\)

PS: the x means nothing just wanted to show you it is an indices

40(1+10/100)^2

40x1.01^2=$40.80

The answer is: There are 14/5 liters of juice in the container.

A container has 6 liters of juice. If 3 1/5 liters is poured from it,

To find out how much juice is left in the container, you need to subtract the amount poured from the original amount.

First, convert 3 1/5 to a mixed fraction: 3 + 1/5 = 3 1/5 = 16/5.

Next, subtract 16/5 from 6 to find the remaining amount: 6 - 16/5.

To subtract fractions, you need a common denominator. The common denominator for 5 and 1 is 5.

So, convert 6 to a fraction with a denominator of 5: 6 = 30/5.

Now, subtract 16/5 from 30/5: 30/5 - 16/5 = 14/5.

The remaining amount of juice in the container is 14/5 liters.

Therefore, the answer is: There are 14/5 liters of juice in the container.

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Answer:

(2^2)(20−√9) =68

Step-by-step explanation:

The ratio of perimeters and the ratio of the areas of the larger figure to the smaller one is perimeter 5/4 and Area 25/16

To find the ratios of perimeter divide the length of any one pair of corresponding sides

So 10/8

Divide numerator and denominator by 2

We get 5/4

o find the ratios of area divide the squares of any one pair of corresponding sides

(10)²/8²

100/64

25/16

Hence, the ratio of perimeters and the ratio of the areas of the larger figure to the smaller one is perimeter 5/4 and Area 25/16

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Vector equation of the line L: r = P₀ + td, where r is a position vector on the line, t is a scalar parameter, and d is the direction vector.

a) To determine the vector equation and scalar parametric form of the line L, we can use the point-direction form of a line. Given: Point on the line: P₀ = (2, -5, 3), Direction vector: d = 2i + 2j + k. Vector equation of the line L: r = P₀ + td, where r is a position vector on the line, t is a scalar parameter, and d is the direction vector. Substituting the values: r = (2, -5, 3) + t(2i + 2j + k). Scalar parametric form of the line L: x = 2 + 2t, y = -5 + 2t

z = 3 + t

b) To find the point of intersection between the line L and the plane A, we need to substitute the values of x, y, and z from the scalar parametric form of the line into the equation of the plane. Given: Equation of plane A: x - 3y + 2z = -1. Substituting the scalar parametric form of the line into the equation of the plane: (2 + 2t) - 3(-5 + 2t) + 2(3 + t) = -1. Simplifying the equation: 2 + 2t + 15 - 6t + 6 + 2t = -1, 10t = -24, t = -2.4, Substituting the value of t back into the scalar parametric form of the line, we can find the point of intersection: x = 2 + 2(-2.4) = -0.8, y = -5 + 2(-2.4) = -10.8, z = 3 + (-2.4) = 0.6

Therefore, the point of intersection between the line L and the plane A is (-0.8, -10.8, 0.6). c) To find the distance between plane A and plane B, we can use the formula for the distance between two parallel planes. The formula states that the distance between two parallel planes Ax + By + Cz + D₁ = 0 and Ax + By + Cz + D₂ = 0 is given by: Distance = |D₂ - D₁| / √(A² + B² + C²). Given: Equation of plane A: x - 3y + 2z = -1, Equation of plane B: -x + 3y - 2z = -13.

Comparing the equations, we have: A = 1, B = -3, C = 2, D₁ = -1, D₂ = -13. Plugging these values into the distance formula: Distance = |-13 - (-1)| / √(1² + (-3)² + 2²), Distance = |-12| / √(1 + 9 + 4), Distance = 12 / √14. Therefore, the distance between plane A and plane B is 12 / √14.

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According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.

Property of Equality:

The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.

That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.

Multiplicative Property of Equality:

According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.

The formula for this property can be expressed as for the real numbers a, b, and c.

If a × b, then, a × c = b × c.

In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.

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The required radian angle the dog has rotated through is 2.5 radians.

To find the radian angle the dog has rotated through, we can use the formula:

θ = arc length/radius

In this case, the arc length is the distance the dog has traveled, which is the length of the car, 25 feet. The radius is the length of the leash, 10 feet.

θ = 25 feet / 10 feet = 2.5 radians

Therefore, the radian angle the dog has rotated through is 2.5 radians.

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Answer:

420% of 85 = 357

Step-by-step explanation:

85/x=100/420

(85/x)*x=(100/420)*x       - we multiply both sides of the equation by x

85=0.23809523809524*x       - we divide both sides of the equation by (0.23809523809524) to get x

85/0.23809523809524=x

357=x

x=357

In an analysis of variance, you reject the null hypothesis when the F ratio is:
b. much larger than 1.

Here's a step-by-step explanation:
1. The null hypothesis states that there are no significant differences among the groups being compared.
2. Variance is the measure of how much the individual data points in a dataset vary from the mean.
3. The F ratio is the ratio of two variances, specifically, the variance between group means and the variance within groups.
4. When the F ratio is much larger than 1, it indicates that the variance between group means is much larger than the variance within groups.
5. This suggests that there is a significant difference among the group means, leading to the rejection of the null hypothesis.

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The set of numbers are rational numbers but not integers whole numbers or natural numbers are { 1/2, 1/4, 1/8}.

Hence the third option is correct.

Use the concept of rational number defined as:

A rational number is a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

It can be represented as p/q,

Where p and q are integers and q is not equal to zero.

Examples of rational numbers include 1/2, -3/4, and 5/7.

Now analysing the given options we can see that,

The numbers 1/2, 1/4 and 1/8 are rational but not an integer.

Therefore,

The set  { 1/2, 1/4, 1/8} is the correct one, which is option third.

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Answer:

12-3

9 is the range

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

The equation that models the relationship between the amount of work done (w), the mass of the object (m), and the distance the object is lifted (d) is shown below:

work done  = k * m * d

Work done is described as product of the force and the distance over which the force is applied.

In the equation we wrote above,

k=  constant of proportionality that relates the three variables.

m= mass

d = distance

According to the equation, the amount of work is inversely correlated with the object's mass and its distance.

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