QUICKLY, What is the distance between 9.4 and -1.2 on a number line?



I'm sorry this is very easy I'm just trying to get stuff done

Answer:

mAB = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Set up equation.

mAB + mBC = mAC

x + 4 + 4 = 3x + 2

Step 2: Solve for x

Step 3: Find AB

Answer:

Depends?

Step-by-step explanation:

She lives 8.9 miles away from her friend if she were to go at a diagonal (the fastest way to her house). If her cell service can go farther than that, then she will have service and vice versa

Answer:

A.

Step-by-step explanation:

Just did the quiz

If cosine of x degrees equals three-fifths, the value of b is 7.

What is cosine ?

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. The most common trigonometric functions are sine, cosine, and tangent. The reciprocal functions are cosecant, secant, and cotangent.

In this case, we are given that cos(x) = 3/5. From this, we can use the inverse cosine function (arccos) to find the value of x in degrees. However, this alone is not enough to determine the value of b.

In the given triangle LNM, we know that angle M measures 90 degrees and angle L measures x degrees. We also know that side LM measures 3b units and LN measures 20 units.

Using the Pythagorean theorem, we know that the length of MN, which is the hypotenuse, can be found by:

MN^2 = LM^2 + LN^2

We also know that

cos(x) = LM / MN

Therefore, we have:

3/5 = (3b) / (sqrt(3b^2 + 20^2))

b = 7

So , If cosine of x degrees equals three-fifths, the value of b is 7.

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Answer: 1440mL

Step-by-step explanation: none

A balloon is inflated such as its radius is 7.00 cm.  The volume of air inside the balloon is 1436.76 mL.

A ballon is a nylon material that can be inflated with a gaseous air substance. When inflated with air substance, it usually takes a spherical shape.

The volume of a sphere is:

\(\mathbf{= \dfrac{4}{3}\pi r^3}\)

where;

∴

\(\mathbf{= \dfrac{4}{3}\pi \times (7.00)^3}\)

= 1436.76 cm³

Since 1 cm³ = 1 mL

Thus;

Therefore, we can conclude that the volume of air inside the balloon is:

= 1436.76 mL

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The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

option C.

The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;

The four points include;

A = (1, 2)

B = (2, - 3)

C = (-2, - 2)

D = (-3,  1)

The  ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;

(2, - 1)

Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).

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Where the above conditions is given, the range of calories in Margo’s morning snacks is about 50 more the range of calories in her afternoon snacks.

We have been given two box plots. We are asked to find the difference between the range of both box plots.    

The range of a box plot is difference between lower value and upper value.

Range of Morning snacks = 275 - 75

= 200

Similarly, we will find the range of afternoon snack.

Range of Afternoon snacks = 375 -225

= 150

Now let is find difference of both ranges as

200 - 150 = 50

Hence, the range of calories in Margo’s morning snacks is about 50 more the range of calories in her afternoon snacks.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Margo made the box plots to compare the number of calories between her morning snacks and her afternoon snacks.

Select from the drop down menu to correctly complete the statement.

The range of calories in Margo’s morning snacks is about ___ ___ the range of calories in her afternoon snacks.

10 less than

50 more than

80

125

The probability that less than half of the sample will say that they support the increase is given as follows:

0.0885 = 8.85%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

n = 500, p = 0.53.

Hence the mean and the standard error are given as follows:

Hence the probability of less than half is the p-value of Z when X = 0.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

Z = (0.5 - 0.53)/0.0223

Z = -1.35

Z = -1.35 has a p-value of 0.0885.

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Answer:

second pack

Step-by-step explanation:

1.25÷4= 0.31 so for the first pack 1 pencil cost $0.31

2.50×20%= 0.5 so its ¢50 off. 2.50-0.50= 2. 2÷8= 0.25. so for the second pack 1 pencil costs $0.25 which is lower than the 1st pack.

I hope it wasn't too confusing

Answer:

The answer is no solution

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Answer:

Because we know for a fact that the line has a correct answer. Plus, if you choose a point on the line then it will not give you the visual side of which is correct and which is wrong.

Step-by-step explanation:

If you choose a point on the line then it will not give you the visual side of inequality. Therefore, choose the interval.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade. If the symbol ≥ or > is used, shade above the line. If the symbol ≤ or < is used shade below the line. For a vertical line, larger solutions are to the right and smaller solutions are to the left.

Because we know for a fact that the line has a correct answer. Plus, if you choose a point on the line then it will not give you the visual side of which is correct and which is wrong.

If you choose a point on the line then it will not give you the visual side of inequality. Therefore, choose the interval.

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(a) The best response functions for both players are:

Player 1's best response function: x = 1 - y

Player 2's best response function: y = 1 - x

(b) The Nash equilibrium of this game is when both players contribute half of the maximum possible contribution, which is 0.5.

To find the best response functions, we need to determine the strategies that maximize the payoffs for each player given the other player's strategy.

For Player 1, the payoff function is 2(x + y + xy) - x². To find the best response, we maximize this function with respect to x while assuming y is fixed. Taking the derivative of the payoff function with respect to x and setting it to zero, we get:

∂(2(x + y + xy) - x²)/∂x = 2 + 2y - 2x = 0

Simplifying this equation, we find:

2x = 2 + 2y

x = 1 + y

x = 1 - y (rearranging the equation)

This is the best response function for Player 1.

Similarly, for Player 2, the payoff function is 2(x + y + xy) - 2y². Maximizing this function with respect to y while assuming x is fixed, we differentiate and set it to zero:

∂(2(x + y + xy) - 2y²)/∂y = 2 + 2x - 4y = 0

Simplifying the equation, we find:

2y = 2 + 2x

y = 1 + x

y = 1 - x (rearranging the equation)

This is the best response function for Player 2.

To find the Nash equilibrium, we need to find the values of x and y where both best response functions intersect. Solving the simultaneous equations x = 1 - y and y = 1 - x, we find the Nash equilibrium point at x = y = 0.5.

The best response functions for both players in this game are Player 1's best response function: x = 1 - y and Player 2's best response function: y = 1 - x. The Nash equilibrium occurs when both players contribute half of the maximum possible contribution, which is x = y = 0.5.

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Step-by-step explanation:

There are 6 possible rolls

  4 5 6   are greater than 3

   1  and 3   are odd rolls to include in the count

     so 5 rolls out of 6  =   5/6

The number of months at which each swim team has a balance equal to $1200 is; 2 months

We are told that the graph attached shows the amount remaining, y, in dollars, in the accounts for each swim team after x months since the accounts were opened.

Thus;

The x-axis shows the number of months since the accounts were opened for each swim team

The y-axis shows the amount remaining for each swim team after a specific number of months.

Now, we are told to find the number of months at which each swim team has a balance equal to $1200. This point would definitely be the point at which both graphs intersect and as such from the graph it is at x = 2 months.

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The values of x and y as a result of the code are 8 and 8

The code is given as:

int x = 25, y = 8;

x = y;

At the first line, we have

x= 25 and y = 8

On the second line, where we have

x = y

This means that

x = 8 and y = 8

Hence, the values of x and y as a result of the code are 8 and 8

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Answer/Step-by-step explanation:

1. Antonio is correct. In a quadrilateral, opposite angles are supplementary. Since, (2x + 7), and (5x – 2) are opposite angles, they are supplementary. It is logical to set those two expressions equal to 180 due to it being supplementary. On the other hand, Erin is incorrect as he claims that the expressions, (2x + 7), and (5x – 2) are equal. While this is not the case because, in this quadrilateral, the opposite angles merit the supplementary feature when added together, however, the value of each expression could be any two numbers that add up to 180. Since those two expressions do not need to be and are not always necessarily equivalent, Erin is incorrect.

2.The steps I would take include using Antonio’s first step in setting (2x + 7), plus (5x – 2), equal to 180. Since, (2x + 7), and (5x – 2) are opposite angles, they are supplementary. It is logical to set those two expressions equal to 180 due to it being supplementary. Next, you will add like terms, resulting in 7x + 5 = 180. You will subtract 5 from both sides of the equation which is justified by the Subtraction Property of Equality. 7x = 175. Next, you will divide by 7, isolating the x. You get that x is equal to 25. You will then plug in the value of x into the expression for angle a. (5(25)-2) = 123 degrees

Answer:

1) Antonio is correct

2) See below

Step-by-step explanation:

1) Antonio is correct because that's how to solve for the x value.

2) Set the expressions equal to each other, and solve for x. Plug x back into each expression to find degree measures.

I can finish this explanation later (I ran out of time)

Answer:

Hi,

I hope you are searching for this answer.

The lcm of an expression is calculated by taking the common factor and multiply the common factor with the remaining one, alright.

or, simply the lcm of an expression is calculated by the product of common factors and the factors which are not common.

Hope it helps...

Answer:

30.8 cm³

Step-by-step explanation:

slant height of small cone =l

using; l²= h²+r²

l²=5²+3²=25+9=34

l=√34=5.8cm

volume of small cone =1/3πrl

=1/3(π×3×5.8)

=1/3(54.67)= 18.2 cm³

slant height of big cone =l

using; l²= h²+r²

l²=5²+6²=25+36=61

l=√61=7.8cm

volume of big cone =1/3πrl

=1/3(π×6×7.8)

=1/3(147.02)= 49.0 cm³

49.0-18.2= 30.8 cm³

The calculated value of the test statistic is approximately 6.40.

To test the hypothesis that job satisfaction is the same at Baruch College and Brooklyn College, we can use a two-sample t-test.

The null hypothesis (H0) assumes that the means of the two populations are equal, while the alternative hypothesis (Ha) assumes that the means are not equal.

H0: μ1 = μ2 (Mean job satisfaction at Baruch College is equal to mean job satisfaction at Brooklyn College)

Ha: μ1 ≠ μ2 (Mean job satisfaction at Baruch College is not equal to mean job satisfaction at Brooklyn College)

We can calculate the test statistic using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, n1 and n2 are the sample sizes.

Given the data:

Baruch College: mean job satisfaction score (x1) = 83.0, standard deviation (s1) = 15, sample size (n1) = 150.

Brooklyn College: mean job satisfaction score (x2) = 73.0, standard deviation (s2) = 12, sample size (n2) = 100.

Calculating the test statistic:

t = (83.0 - 73.0) / sqrt((15^2 / 150) + (12^2 / 100))

t = 10 / sqrt(1 + 1.44)

t ≈ 10 / sqrt(2.44)

t ≈ 10 / 1.561

t ≈ 6.40

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The total time since automobile A's departure is five hours.

You must create an expression for distance as a function of time in order to solve this. Since you are required to locate the location at which their respective distances are equal and to describe the result in terms of time, you are aware that you require that statement in those terms.

Distance = 60 km/h*(1+x) for automobile A.

Distance traveled by Car B at 75 km/h (x)

x is the time expressed in hours.

When one of those two equations surpasses the other, they are equal.

so:

60 +60x = 75x

60=15x

x=4, however, my statement is formatted to start counting when car B started moving. Therefore, the total time since automobile A's departure is five hours.

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Full question:

Two cars A and B travel along the same road in the same direction from the same starting point. Car A maintains a speed of 60 km/h and car B is at 75 km/h. But car B started one hour later. How many hours will B take to overtake A?

Angle x of the triangle PQR is 53 degrees.

Angle x is gotten by alternate angle relationship.

Line AB is parallel to line CD

Therefore,

AB║CD

Hence,

62 + x = 115(alternate angles)

62 - 62 + x = 115 - 62

x = 53°

We got the angle x degrees from alternate angle relationship.

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Answer:

x = 50

Step-by-step explanation:

Angle <BPR and angle <PRD are supplementary angles so their sum is equal to 180

m<BPR + 115 = 180 subtract 115 from both sides

m<BPR = 65

angles:

<APQ, x, and <BPR form a straight line and so their sum is equal to 180

65 + x + 65 = 180 add like terms

130 + x = 180 subtract 130 from both sides

x = 50

Answer:

it is 10.5 cm squared! I hope this helps

The expressions that represent this week's price of gasoline per gallon =g+0.05g.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, we have,

the price of a gallon of gasoline was `g` dollars.

the price of gasoline per gallon increased by `5%`.

So, the expressions that represent this week's price of gasoline per gallon

=g + g*5%

=g+0.05g

Hence, the expressions that represent this week's price of gasoline per gallon =g+0.05g.

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Answer:

32.

Step-by-step explanation:

This is an arithmetic sequence with first term a1 = -6 and common difference 2.

an = a1 + d(n - 1)

a20 = -6 + 2(20-1) = 32

Answer:

D!

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

given Q is directly proportional to P then the equation relating them is

Q = kP ← k is the constant of proportion

(i)

to find k use the condition Q = 28 when P = 4

28 = 4k ( divide both sides by 4 )

7 = k

Q = 7P ← equation of proportionality

(ii)

when P = 5 , then

Q = 7 × 5 = 35

(iii)

when Q = 42 , then

42 = 7P ( divide both sides by 7 )

6 = P

In the given research study, the independent variable is the daily dosage of aspirin, and the dependent variable is the heart attack rate in men.

The independent variable, in this case, is the factor that the researcher manipulates or controls. It is the dosage of aspirin administered to the participants on a daily basis. The researcher can vary the dosage levels to examine the potential impact on the heart attack rate.

On the other hand, the dependent variable is the outcome or result that the researcher measures or observes. It is the heart attack rate in men, which is expected to be influenced by the different dosages of aspirin. The researcher will collect data on the occurrence of heart attacks in men based on the dosage levels of aspirin to analyze any potential relationship or effect.

By examining the relationship between the independent variable (daily dosage of aspirin) and the dependent variable (heart attack rate in men), the researcher aims to determine if there is a correlation or causal relationship between the two factors.

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Notice that, since B is the center of dilation, B'=B. Furthermore, is a dilation all the distances are enlarged by a factor equal to the dilation factor; thus,

Calculate BC using the formula below,

Therefore,

Hence,

The answer is B'C'=31.32