16
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Find the exact value of z.

To find:

Any two quadratic equations​.

Solution:

The general form of a quadratic equation is:

\(ax^2+bx+c=0\)

Where, a,b and c are real number and a is non zero.

We know that a,b,c can take any values but a cannot be 0.

For a=1, b=1,c=1, we get

\(1x^2+1x+1=0\)

\(x^2+x+1=0\)

One quadratic equation is \(x^2+x+1=0\).

For a=3,b=-1,c=5, we get

\(3x^2+(-1)x+5=0\)

\(3x^2-x+5=0\)

Therefore, the two quadratic equations are \(x^2+x+1=0\) and \(3x^2-x+5=0\).

Answer:

The answer is  

20x + 17.5

Step-by-step explanation:

Multiply the 5 by the numbers inside the parenthesis.

5 x 4x

5 x 3.5

Answer:

149 \(ft^{2}\)

Step-by-step explanation:

The total area is

20 x 9.25 = 185

The two triangles together would be

6 x 6 = 36  subtract this from 185

185 - 36 = 149

Answer:

B. y – 270 = 45(x – 2) ; $450

Step-by-step explanation:

In February, you have a balance of $270 in your bank account.

In January, you have a balance of $270 - $45 = $225 in your bank account.

In December, you have a balance of $225 - $45 = $180 in your bank account.

y = $180 + $45x, where x = 1, 2, 3, 4...

Balance in June: x = 6

y = $180 + $45x = $180 + $45×6 = $180 + $270 = $450

The complete question is:

In February, you have a balance of $270 in your bank account. Each month you deposit $45. Let January = 1, February = 2, and so on. Write an equation for this situation. Use the equation to find the balance in June.

Answer:

$450 in June

Step-by-step explanation:

$X = 270 + 45 × ( number of month)  

In this problem, February, the month you start with, would be month 0.

June would be 4.

$X = 270 + 45 × 4

= 270 + 180

= $450 in June

$450 in June.

Using compound interest and a graphing calculator, it is found that it will take about 15 years for the loan to be paid off.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

For this problem, the parameters are given as follows:

A(0) = 95000, r = 0.06, n = 12.

Hence the value of the loan after t years is:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(t) = 95000\left(1 + \frac{0.06}{12}\right)^{12t}\)

\(A(t) = 95000(1.005)^{12t}\)

You have monthly payments of $1,200, hence the amount paid after t years is:

P(t) = 12 x 1,200t = 14400t

Then we have to solve for:

A(t) = P(t)

\(14400t = 95000(1.005)^{12t}\)

Which is solved in the graph below, meaning that it will take about 15 years for the loan to be paid off.

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Length of line XY is 12cm

We apply the mid-segment of trapezoid theorem:

Length of line XY is 12cm

∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information

Two angles are given.

∠g = (2x-90)°

∠h = (180-2x)°

We have to find the statement which is true about the angles g and h.

If both angles are greater than zero.

Complementary angles add up to 90 degrees

i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.

Substituting the given values:

∠g + ∠h

= (2x-90)° + (180-2x)° = 90°

Thus, ∠g and ∠h are complementary angles.

and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h  are acute.

So the statement ∠g and ∠h are acute angles is also true

Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements

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Answer:

82+54=136°

Step-by-step explanation:

the value of the extreior angle in a tringle equals to the sum of the further two angles in the tringle

12

Explanation:

Slope Intercept form is: y=mx+b
m would be the slope

So in y=12x-19, 12 would be the slope in this case.

Answer:

see explanation

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 1 - 11 = - 10 , then

\(a_{n}\) = 11 - 10(n - 1) = 11 - 10n + 10 = 21 - 10n ← explicit formula

Using the explicit formula to find a₄₀ , then

a₄₀ = 21 - 10(40) = 21 - 400 = - 379

Answer:

There is no question can u edit

Step-by-step explanation:

To determine the probability of an event where both dice are odd, let's first list all the possible odd numbers on a die: {1, 3, 5}.

Probability is a measure of the likelihood or chance that a particular event will occur. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain to occur.

Now, let's find all the combinations of two dice showing odd numbers:

1. (1, 1) 2. (1, 3) 3. (1, 5) 4. (3, 1) 5. (3, 3) 6. (3, 5) 7. (5, 1) 8. (5, 3) 9. (5, 5)

There are a total of 9 combinations where both dice show odd numbers.

So, the size of the set that corresponds to the event that both dice are odd is 9.

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Answer:

40

Step-by-step explanation:

Answer: |4x-2|=-6

Step-by-step explanation:

This has no solution

The equation that has no solution is | 4x - 2 | = -6.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

| -2x + 8 | = 0: This equation has only one solution, which is x = 4. When we take the absolute value of any number, the result is always non-negative (i.e., greater than or equal to zero).

Therefore, the absolute value of -2x + 8 can only be zero if -2x + 8 itself is zero. Solving for x, we get x = 4.

| 3x + 6 | = 6: This equation has two possible solutions, which are x = 0 and x = -4. When we take the absolute value of 3x + 6, the result can be either positive or negative, depending on the value of x.

Therefore, we need to solve two separate equations: 3x + 6 = 6 and 3x + 6 = -6. Solving for x in each case, we get x = 0 and x = -4.

| 4x - 2 | = -6: As I mentioned in my previous answer, this equation has no solutions.

An absolute value cannot be negative or equal to a negative number, so there is no value of x that would make the left-hand side of the equation equal to -6.

| -2 - x | = 9: This equation has two possible solutions, which are x = -11 and x = 7. When we take the absolute value of -2 - x, the result can be either positive or negative, depending on the value of x.

Therefore, we need to solve two separate equations: -2 - x = 9 and -2 - x = -9. Solving for x in each case, we get x = -11 and x = 7.

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You want to find the positive square root of 1

Figure out which number squared (multiplied by itself) equals 1

The number 1 squared equals 1

1^2 = 1 × 1 = 1

So the positive square root of 1 is 1

\( \\ \)

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The manager's expression (2(3)+3in(21)) is equivalent to 0.72. The manager's expression can be simplified as follows: (2(3)+3in(21)) = (6 + 3 * 0.5) = 6 + 1.5 = 7.5

The expression 7.5 can be simplified to 0.72, which is the answer to the question.

The first part of the manager's expression, 2(3), evaluates to 6. The second part of the expression, 3in(21), evaluates to 1.5. This is because in(21) is equal to 1, and 3 * 1 = 3. Therefore, the entire expression evaluates to 6 + 1.5 = 7.5.

The expression 7.5 can be simplified to 0.72 by dividing both the numerator and denominator by 10. This gives us 0.72, which is the answer to the question.

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Answer:

A, B

Step-by-step explanation:

1. A

because the intersection of the line is the solution so no solution means they do not intersect

2. B

because the points on the line that is on top of another line are all solutions and lines have infinite number of points

Answer:

45

Step-by-step explanation:

I took the test and got right

The number of ways can this test batch be chosen is 2380 ways  of combination.

Give an example of permutation and combination?

Calculation of the number of ways:

Since As part of a quality-control program, 4 batteries from a box of 17 is chosen at random for testing.

Here we used the combination

So,

        = 17!/4!(17 - 4 )!

         = 17!/4! * 13!

          = 17 * 16 * 15 * 14 * 13/4! * 3!

          = 2380 ways

Therefore, The number of ways can this test batch be chosen is 2380 ways.

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The null and alternative are always claims about the population. That's because the goal of hypothesis testing is to make inferences about a population based on a sample.

Null hypothesis testing is a formal approach to deciding whether a statistical relationship in a sample reflects a real relationship in the population or is just due to chance.

Answer:

16

Step-by-step explanation:

let boys equal to 5x

and girls equal to 4x

so 4x+5x=36

X=4

so boys are 5*4

boys are 20

and girls are 16

so boys are 4 more than girls

Answer:

16 girls

Step-by-step explanation:

boys : girls : total

5          4        5+4 = 9

take the total number of people and divide by 9

36/9 = 4

Each number should be multiplied by 4

boys : girls : total

5*4        4*4     9*4

20          16        36

There are 16 girls

Answer:

AB

Step-by-step explanation:

Increasing by 5/1

Answer:

It should be 60 degrees

Step-by-step explanation:

Answer:

This is the answer

y = − x

So yeah hope this helps...

The reference angle that has a sin value of 1/2 is π/6 radians or 30 degrees. Therefore, the value of θ is π/6 radians or 30 degrees.

Given that sin θ = 14/28, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 14. This yields sin θ = 1/2.

The value of sin θ equal to 1/2 corresponds to the angle θ being π/6 radians or 30 degrees in the first quadrant.

In general, the trigonometric function sin θ represents the ratio of the length of the side opposite the angle θ to the length of the hypotenuse in a right triangle. For sin θ to be positive, the angle θ must lie in the first or second quadrant. Since we are assuming θ to be an acute angle, it falls within the first quadrant.

In the first quadrant, the reference angle that has a sin value of 1/2 is π/6 radians or 30 degrees. Therefore, the value of θ is π/6 radians or 30 degrees.

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Answer: choose Answer B

Step-by-step explanation:

because if you flip the triangle back to what it was previously A B lines up with answer B so it’s B

Answer:

The solution to the system of equations is

x = -2

y = 5

Explanation:

Given the pair of equations:

3x + y = -1 ............................................................................(1)

2x - 2y = -14 .......................................................................(2)

To solve the system by elimination, first of all

Divide equation (2) by 2, to simply have:

x - y = -7 ...............................................................................(3)

To eliminate y

Add equation (1) and (3) together

3x + x + y - y = -1 - 7

4x = -8

Divide both sides by 4

x = -8/4 = -2

To eliminate x

Multiply equation (3) by 3

3x - 3y = -21 .........................................................................(4)

Subtract equation (4) from equation (1)

3x - 3x + y - (-3y) = -1 - (-21)

y + 3y = -1 + 21

4y = 20

Divide both sides by 4

y = 20/4 = 5

Therefore, x = -2, and y = 5

Answer:

A.

Step-by-step explanation:

x^0=1 so you can cancel it out. when a number has a negavite exponent, you have to invert it. That means y^-6 goes at the denominator and becomes y^6 and z^-6 goes up to the numerator and becomes z^6.