What’s the angle measure?

X=18

Answer:

with?

Step-by-step explanation:

The intermediate step in the from (x+a)²=b for the equation -5x²+40x=320 is (x-4)²=80

We should know that a quadratic equation is the equation whose highest power of the variable is 2

The given parameter is

(x+a)²=b

in completing the square of the equation,-5x²+40x=-320

rewrite the equation to have

5x²-40x--320=0

Divide through by 5 to have

x²-8x-64=0

x²-8x=64

make the left hand side a perfect square

x²-8x+16=64+16

factorize the LHS to have

x²-4x-4x+16=80

(x²-4x)-(4x+16)=80

(x-4)²=80

Therefore the intermediate step is (x-4)²=80

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Answer:

this is the answer Hope's it helps

The radius of table can be 13 inches or 73 inches.

Let r inches be the table's radius.

Make the corner the starting point or origin.

the coordinates for the table's center are as follows: (r, r).

So  \((x-r)^{2} +(y-r)^{2}=r^{2}\)  is the equation for the table's diameter.

The distance between the mark at the table's edge and one wall is 18 inches and 25 inches, respectively. Consequently, this point's coordinates are (18, 25). It might alternatively be (25, 18), but our calculations would not be affected.

Given that the mark is on the edge, it satisfies the criteria established by the table's circumference equation.

\((18-r)^{2} +(25-r)^{2} =x^{2}\)

\(324-36r+r^{2} +625-50r+x^{2} =x^{2}\)

\(r^{2} -86r+949=0\)

(r−13)(r−73)=0

r=13 inches or r=73 inches

As a result, the table's radius can be either 13 inches or 73 inches.

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Answer:

7/12 or 0.58333333...

Step-by-step explanation:

Answer:

7/12

Step-by-step explanation:

Answer:

45

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Hey Hey! It's me again!

Answer:

The variable u divided by the variable x.

The sample size that would be required for the width of 99% is 2653.

The number of subjects involved in a sample size is referred to as the sample size in market research. A set of people chosen from the general community who are thought to be a representative sample size for that particular study is referred to as the sample size.

The following details are given:

Margin of error, E = 0.025; Significance Level, = 0.01

The proportion p is estimated to be p = 0.53.

The significance level with a critical value of 0.01 is 2.58.

The smallest sample size needed to estimate the population proportion p within the necessary margin of error is determined using the formula shown below:

n >= p*(1-p)*(zc/E)2 n = 0.53 *(1 - 0.53*)2 n = 2652.97 *(1-p)*(2.58/0.025)2

As a result, we determine that n = 2653 is the minimal sample size needed to satisfy the criteria that

n >= 2652.97 and that it must be an integer value.

Sample size is 2653.

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Answer:

Step-by-step explanation:

x - 3y  -15

x = -3

Answer:

I think the first one is 30.

I think the second one is 6

Step-by-step explanation:

Answer:

x < 1.175

Step-by-step explanation:

-0.4x + 1.27 > 0.8

-0.4x > -0.47

x < 1.175

Answer:

it's 1!!

Step-by-step explanation:

The percentage of the games that Natasha scores between 93 and 142 is given as follows:

96.9%.

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

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

The mean and the standard deviation are given as follows:

\(\mu = 115, \sigma = 11\)

The proportion of games with scores between 93 and 142 is the p-value of Z when X = 142 subtracted by the p-value of Z when X = 93, hence:

Z = (142 - 115)/11

Z = 2.45

Z = 2.45 has a p-value of 0.992.

Z = (93 - 115)/11

Z = -2

Z = -2 has a p-value of 0.023.

0.992 - 0.023 = 0.969, hence the percentage is of 96.9%.

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To determine the angle from the vernal equinox to the station at the time of measurement, we need to use the following formula:

Angle = (Sidereal Time at Greenwich + Longitude of the Station - Hour Angle of the Object) * 15 degrees/hour

First, we need to determine the Hour Angle of the Object, which is the amount of time since the object (in this case, the radar measurement) passed over the Greenwich meridian. We know that the radar measurement occurred 2.8 hours after noon on January 1, so the Hour Angle of the Object is:

Hour Angle = 2.8 hours * 15 degrees/hour = 42 degrees

Next, we can plug in the values we know into the formula:

Angle = (100 degrees + (-4 degrees) - 42 degrees) * 15 degrees/hour
Angle = 54 degrees * 15 degrees/hour
Angle = 810 degrees/hour

Therefore, the angle from the vernal equinox to the station at the time of the radar measurement is 810 degrees/hour.

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The coldest time of the day using the sine function would be 5 hours after midnight

Given the function :

The coldest time of the day would be when the sine function is minimum

At minimum, sinФ = -1

equating the expression thus and make 't' the subject

- sin((2π(t+1))/24) = -1

sin((2π(t+1))/24) = 1

Taking the sine inverse :

2π(t+1)/24 = π/2

multiply both sides by 24

2π(t+1) = 12π

divide both sides by 2π

t + 1 = 6

t = 6 - 1

t = 5

Therefore, the coldest time of the day would be 5 hours after midnight.

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By answering the presented question, we may conclude that As a result, the variation constant is the quotient of the variable A, the ratio of r, and the square root of t.

\(A= (r/\sqrt{t} )\)

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator

A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases.

An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

With the above relationship, the variation model with k as the constant of variation may be expressed as:

A=\(K*(R/\sqrt{t} )\)

where k denotes the variation constant and A is the variable that is directly proportional to r and inversely proportional to the square root of t. The proportional variable is r, and the inverse proportional variable is t.

We can solve for k by rearranging the equation:

\(A= (r/\sqrt{t} )\)

As a result, the variation constant is the quotient of the variable A, the ratio of r, and the square root of t.

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Answer:

E: 2

F: 9

Step-by-step explanation:

E:

\(\left(\frac{1}{2}\right)^2=\frac{1^2}{2^2}=\frac{1}{2^2}\)

\(=8\cdot \frac{1}{2^2}\)

\(=\frac{8}{2^2}\)

\(=\frac{2^3}{2^2}\)

\(=2\)

F:

\(=\frac{1}{3}\cdot \:27\)

\(=9\)

Answer: negative 3

Step-by-step explanation: It's easy

Correct option is B. The expression that represents the measures of all angles that are co-terminal with a 500° angle is 140 + 360n

Co-terminal angles are angles in a standard position.

The angle is given as:

Angle = 500

Add 0 to 500

Angle = 500 + 0

Express 0 as -360 + 360

Angle = 500 - 360 + 360

Evaluate the difference

Angle = 140 + 360

Express as a function

f(1) = 140 + 360 * 1

Substitute 1 for n

f(n) = 140 + 360 * n

This gives

f(n) = 140 + 360n

Hence, the expression that represents the measures of all angles that are co-terminal with a 500° angle is 140 + 360n

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We conclude  the hypothesis test as Alternative Hypothesis if the data would be very unusual if the original assumption about our parameter were correct.

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The given system of equations can be represented as an augmented matrix as follows:

10  20   3 | 100

10  21   3 | 400

-3   6    1 | 200 + Z

In this augmented matrix, each row corresponds to an equation in the system, and the rightmost column represents the constants on the right-hand side of each equation. The coefficients of the variables are arranged in the matrix.

To construct the matrix, the coefficients of the variables 'a', 'm', and 'z' are placed in their respective positions in each row. The constants on the right-hand side of each equation are written in the rightmost column. This augmented matrix provides a compact representation of the given system of equations, facilitating various matrix operations and solution methods.

By performing operations on the augmented matrix, such as row reduction or matrix inversion, it is possible to solve the system and determine the values of the variables 'a', 'm', and 'z'.

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Probability that Bernardo's number is larger than Rancho's is 37/56

Bernardo randomly picks $3$ distinct numbers from the set $\{1,2,3,4,5,6,7,8,9\}$

Bernardo has a chance of picking 9 and he always have a larger integer.

Probability of picking 9 = 3/9 =1/3

Probability of not picking 9= 1- (1/3) = 2/3

When Bernardo picks any number from 1 - 8, there is a chance of 2 possibilities.

Probability of picking 2 same numbers=\(8_C_3\)

= 8×7×6/(3×2)

=56

Probability of same numbers=1/56

Number picked by Bernardo is larger= 55/56

Half of these will be his.

P(larger) = 1/2 ×(55/56) = 55/112

Total Probability = 1/3 +(2/3 × 55/112)

Total Probability = 1/3 + 55/168 = 37/56

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Answer:

\(\Large \boxed{\mathrm{Option \ D}}\)

Step-by-step explanation:

(6, 4)

x = 6 and y = 4

y > -1/2x + 7

Plug in the values to check if it is true.

4 > -1/2(6) + 7

4 > -3 + 7

4 > 4

This statement is false.

(6, 4) lies on the line.

To develop a theory on the relationship between birth week and movie preference, the next steps would be to:

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Answer:

x is 46.67

y is 28.4°

Step-by-step explanation:

To solve for x we use sine

sin ∅ = opposite / hypotenuse

AC is the opposite

x is the hypotenuse

so we have

sin 59° = 40 / x

x sin 59 = 40

Divide both sides by sin 59

x = 40/sin 59

x = 46.67

To solve for y we also use sine

sin y = 30/ 63

y = sin^-1(30/63)

y = 28.4°

Hope this helps you

The train will have traveled option (C) 450 km from its starting point after 4 more hours at the same average speed.

The average speed of the train is given by the distance traveled divided by the time taken to travel that distance

average speed = distance ÷ time

Using this formula, we can find the average speed of the train:

average speed = 250 km ÷ 5 h = 50 km/h

Now that we know the average speed of the train, we can use it to calculate how far it will have traveled after another 4 hours:

distance = average speed × time

distance = 50 km/h × 4 h = 200 km

Therefore, the train will have traveled 250 km + 200 km = 450 km from its starting point after 4 more hours at the same average speed.

So, the answer is (C) 450 km.

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Answer:

The answer is 2/9

Step-by-step explanation:

10-8/10-1

=2/9

Answer:

\(\frac{10-8}{10-1}\) = \(\frac{2}{9}\)

Step-by-step explanation:

slope = y2-y1/x2-x1

Answer:

the unknown side of triangle is 15 in :)