solve for x. 12x+252=324

Answer:

95 degrees

Step-by-step explanation:

The sum of all the angles need to come to 360 degrees. We already have 2 90 degree angles, together 180 degrees. Subtract from 360 to get 180, so we know the other two angles together need to equal 180. x + x + 10 = 180

Add common terms, then subtract 10: 2x = 170

Divide by 2: x = 85

So angle F is 85 + 10, or 95 degrees.

The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right  option is (c) February.

What is a counterexample?

In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.

Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."

Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.

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Answer:

terminating

Step-by-step explanation:

"terminating decimal" since it ends. It does not go on for ever like 6.2222...

Answer:

1) a 2) b

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2+64=(x+8i)(x-8i)

16x^2+49=(4x+7i)(4x-7i)

The statements 1,2,3 are false, true and true respectively.

Given that,

Based on the policyholder's age in years (x1) and the insured car's worth in dollars, IHI Insurance performed a multiple linear regression analysis to forecast the value of the number of yearly claims made by a policyholder for motor insurance (y) (X2). 500 policyholders were chosen at random for the analysis. The sample included people ranging in age from 16 to 70, and the cars ranged in price from $1,100 to $52,000. I = 13 + (-0.5)X1i + (0.1)X2i is the multiple linear regression equation that corresponds to IHI's study.

a) y^i = 13 + (-0.5)x1i + (0.1)x2i

Here X 1i = 26 , X zi = 20

y^i = 13 + (-0.5)x1i + (0.1)x2i

y^i = 13 + (-0.5)(26) + (0.1)(20)

y^i = 2 it doesnt make 28 so it is false.

b) As the coefficient of X 1i  is negative, it will decrease by 0.5

So, it is true.

c) As the coefficient of X 2i  is positive, it will increase by 0.1

So, it is true.

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The solution to -12x = -74 is X = 6.16.

As for a set? Elaborate on what you mean by set please

Answer:Function

Step-by-step explanation:

y=0 is a function because by definition of function is a relation such that every object

If Solomon bought a $65 000 corporate bond. The value of Solomon's investment after a total of 8 years is $95,280.2.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the future value of the investment

P = the initial principal

r = the interest rate

n = the number of times the interest is compounded per year

t = the number of years

We can break down the problem into two parts: the first 3 years when the interest is compounded monthly, and the remaining 5 years when the interest is compounded semi-annually.

For the first 3 years, we have:

P = $65,000

r = 4.2% = 0.042

n = 12 (compounded monthly)

t = 3

So the future value of Solomon's investment after 3 years is:

A1 = $65,000(1 + 0.042/12)^(12*3)

= $73,712.12

Now we can use this amount as the new principal for the remaining 5 years, where the interest is compounded semi-annually:

P = $73,372.27

r = 5.2% = 0.052

n = 2 (compounded semi-annually)

t = 5

So the future value of Solomon's investment after a total of 8 years is:

A2 = $73,712.12 (1 + 0.052/2)^(2*5)

= $95,280.29

Therefore, the value of Solomon's investment after a total of 8 years is approximately $95,280.29.

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Answer:

x = 25

Step-by-step explanation:

by alternate exterior angles theorem

\(127 = 5x + 2 \\ 127 - 2 = 5x \\ 125 = 5x \\ \frac{125}{5} = \frac{5x}{5} \\ x = 25\)

check

\(5(25) + 2 = 127 \\ 125 + 2 = 127 \\ 127 = 127\)

Answer:

A' = (1, -1)

B' = (2, 1)

C' = (4, 0)

D' = (3, -4)

Step-by-step explanation:

don't speak this language. however, I assume it says translate the quadrilateral by the column vector.

A = (-4, 3)  ∴  A' = (1, -1)

B = (-8, 5)  ∴  B' = (2, 1)

C = (-1, 4)  ∴  C' = (4, 0)

D = (-2, 0)  ∴  D' = (3, -4)

In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

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Answer:

\(x=7\)

Step-by-step explanation:

Hi there!

\(-2^2(-5x+10)=100\)

Solve -2^2:

\(-4(-5x+10)=100\)

Divide both sides by -4:

\(\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25\)

Subtract 10 from both sides:

\(-5x+10-10=-25-10\\-5x=-35\)

Divide both sides by -5:

\(\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7\)

Therefore, x = 7.

I hope this helps!

Answer:

y - 7 = 3 ( x - 9 )

Answer:

\(\frac{15a- 8}{14} = x\)

Step-by-step explanation:

Step 1 - Divide both sides of the equation by 7:

\(5(6a + 1) = 7(4x + 3)\\\)

\(\frac{5(6a + 1)}{7} = \frac{7(4x + 3)}{7} \\\\\frac{5(6a + 1)}{7} = 4x + 3\)

Step 2 - Subtract 3 from both sides to isolate the 4x:

\(\frac{5(6a + 1)}{7} - 3 = 4x + 3 - 3\\\frac{5(6a + 1)}{7} - 3 = 4x\)

Step 3 - Expand equation:

\(\frac{5(6a + 1)}{7} - 3 = 4x \\\\\frac{30a + 5}{7} - 3 = 4x\)

Step 4 - Translate -3 into a fraction and add it:

\(\frac{30a + 5)}{7} - 3 = 4x\\\frac{30a + 5 + (7 * -3)}{7} = 4x\\\frac{30a + 5 + (-21)}{7} = 4x\\\)

\(\frac{30a - 16}{7} = 4x\)

Step 5 - Divide both sides of the equation by 4:

\(\frac{\frac{30a - 16}{7}}{4} = \frac{4x}{4}\)

Multiply the two fractions together to simplify:

\(\frac{30a - 16}{4 * 7} = \frac{4x}{4}\)

\(\frac{30a - 16}{28} = x\)

Step 6 - Simplify by dividing the fraction by 2:

\(\frac{(30a \div 2)- ( 16 \div 2)}{28 \div 2} = x\)

\(\frac{15a- 8}{14} = x\)

Hope this helps!

The statement describes the incidence measure of occurrence, which refers to the number of new cases of a disease or condition that occur in a defined population over a specific period of time.

This statement describes the incidence rate of flu among students living in Dunedin hostels.
The incidence rate is a measure of occurrence that calculates the number of new cases (in this case, students getting sick with the flu) in a specific population (150 students in Dunedin hostels) over a specific time period (3 months). This rate helps us understand the frequency at which the flu is affecting this particular group of students

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\( \qquad \huge \underline{ \boxed{\sf Answer}}\)

The given angles form linear pair, so their sum equals to 180°

\( \qquad \dashrightarrow \sf \:x + 47 = 180\)

\( \qquad \dashrightarrow \sf \:x = 180 - 47\)

\( \qquad \dashrightarrow \sf \:x = 133 \degree\)

I hope it helps ~

ᎪꪀsωꫀᏒ

Step-by-step explanation:

=> x+47° = 180° { linear pair }

=> x = 180°-47°

=> x = 133°

Answer:

vertex = (- 5, 3 )

Step-by-step explanation:

to find the x- coordinate of the vertex, set the expression inside the function to zero.

x + 5 = 0 ( subtract 5 from both sides )

x = - 5

substitute x = - 5 into f(x) for y- coordinate

f(- 5) = 3 - | - 5 + 5 | = 3 - | 0 | = 3 - 0 = 3

vertex = (- 5, 3 )

Answer:

==================

Absolute value function:

General form of absolute value function is:

Comparing with the given function, we have:

So the vertex is:

Answer:

-----------------

Find each area and then find their difference.

The difference is:

The speed of the cyclist in still air is 13 mph

Let the speed of the cyclist in still air be x mph

when she rides with the wind her speed = (x + 3) mph

when she rides against the wind her speed = (x - 3) mph.

Mathematically we can represent the problem as:

16 / (x + 3) = 10 / (x - 3)

cross multiplying and simplifying

16 (x - 3) = 10 (x + 3)

16x - 48 = 10x + 30

6x = 78

x = 13

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Answer:

Within 10 feet of a fire hydrant

Step-by-step explanation:

Answer:

10 feet.

Step-by-step explanation:

Answer:

134°

Step-by-step explanation:

\( In\: \odot O,\) AB and AC are tangents at points B and C respectively. OB and OC are radii.

\( \therefore OB\perp AB\: \&\: OC\perp AC\)

(By tangent radius theorem)

\( \therefore m\angle ABO =m\angle ACO = 90\degree \)

\( m\angle CAB+ m\angle ABO +m\angle ACO+ m\angle BOC = 360\degree \)

\(\therefore 46\degree + 90\degree +90\degree+ m\angle BOC = 360\degree \)

\(\therefore 226\degree + m\angle BOC = 360\degree \)

\(\therefore m\angle BOC = 360\degree-226\degree \)

\(\therefore m\angle BOC = 134\degree \)

\(\implies m\angle O= 134\degree \)

The approximate standard error of the mean for a sample size of 150 is 0.90.

The standard error is an estimation of the standard deviation of a given sample space.

The standard error of the mean can be found by dividing the given standard deviation by the square root of the sample space of the same.

The standard error can be found by dividing 11 by the root of 150. This can be calculated as shown below:

Standard error = Standard deviation/√Sample size

= 11/√150

= 11/12.247

= 0.898 ≈ 0.90

Therefore, we have found the approximate standard error of the mean for a sample size of 150 to be 0.90. The correct answer is option A.

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5,6 and6,5

Step-by-step explanation:

there is only two ordered pairs of 5,6that is itself and 6,5

Answer:

the two possible orders are 5,6 and 6, 5

Answer:

the watch is Rs 175

the radio is Rs 325

Step-by-step explanation:

x = price of the watch

y = price of the radio

x+y = 500

x + 150 = y

=>

x + (x+150) = 500

2x + 150 = 500

2x = 350

x = 175

=>

y = 175 + 150 = 325

The break-even point is the point where the profit and the loss are the same (equal). To calculate it, we have the following formula:

where "Price" denotes the value estimate (per unit) by the company. In this case, such a value is $50. And "Variable costs" denotes the variable cost per table; in this case, it's $22. Then,

Now, note that the obtained number of sales is not an entire number. In such cases, we choose the next integer (for we prefer no loss); in this particular case, it's 465.

The total sales the company needs to break even are 465.

Answer:

$700

Step-by-step explanation:

So, I like to extract the information we know and form it into an equation.

So we know that after multiplying what you have in the bank by 4, then add 200 dollars you get two thousand dollars less than a fourth of what's in your dad's bank account.

Your dad has $20,000 in the bank.

Before we write the equation let's find what two thousand less than a fourth of 20,000 is.

20,000/4 = 5,000

Now, 5,000 - 2,000 = 3,000

Ok let's say x is how much money you have

So:

4x + 200 = 3,000

we can isolate the variable by subtracting 200 from both sides

4x = 2,800

then we can divide by 4 on each side

x = 700

so you have $700 in the bank

Answer:

Step-by-step explanation:

6(x-3)=6(x)+6(-3)=6x-18

Answer: the answer is 6x-18 i believe its B

How?

All you have to do is distribute so:

6*X= 6x and 6*-3= -18 put them together and you get 6x-18

Answer:

Step-by-step explanation:

c

Answer:

na saan Po yong question