what is the value of the expression shown 30÷(-6)?​

9514 1404 393

Answer:

Step-by-step explanation:

The sum of angles in any triangle is 180°.

  (x +45) +(2x +95) +(3x +48) = 180

  6x +188 = 180 . . . . . . . . collect terms

  6x = -8 . . . . . . . . . . . subtract 188

  x = -4/3 . . . . . . . . divide by 6

Then the angles are ...

  x +45 = -4/3 +45 = 43 2/3°

  2x +95 = 2(-4/3) +95 = 92 1/3° . . . . the obtuse angle

  3x +48 = 3(-4/3) +48 = 44°

Answer:

x= -6

Step-by-step explanation:

(-1+5)/(x+3) = -4/3

4/(x+3)= -4/3

-4(x+3)= 3(4)

-4x-12= 12

-4x= 24

x= -6

\( \sqrt{2} (4 \sqrt{7} + 3\sqrt{2} )\)

\( \sqrt{2} (4 \sqrt{7} ) + \sqrt{2} (3 \sqrt{2} )\)

\(4 \sqrt{14} + 3(2)\)

\(4 \sqrt{14} + 6\)

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

The degree of the power function represented in the table f(x) is 2.

In order to find the degree of the power function represented in the given table, you must find the difference of the y-values.

The second difference is illustrated as:

2 - 6 = -4.

-2 - 2 = -4

-6 - (-2) = -4

This illustrates that the second differences are constant.

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What is the degree of the power function represented in the table?

1

2

3

4

x h(x)

−2 −8

−1 −2

0 0

1 −2

2 −8

Answer:

[4*(4+3)]-3 = 25

[(7-5)-: 1/2]*2 = 8

((5.4+3)*(6-2)) = 33.6

(9)/(3)+6)*3 = 27

(4+3.2)*[(9-2)+2.5] = 68.4

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

\(x = \sqrt{10 {}^{2} - 8 {}^{2} } \)

\(x = \sqrt{100 - 64} \)

\(x = \sqrt{36} \)

\(x = 6\)

The solution of the given inequality is y ≤ -3.

The given inequality is -

3y ≤ −9

We have to solve this given inequality.

Now, we have the inequality as -

3y ≤ −9

=> y ≤ -3

Thus, the solution of the given inequality is y ≤ -3.

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Kenny will spend $4,593.75 on fencing the dilated rectangle.

What is rectangle ?

A rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides of equal length. It is a type of parallelogram in which both pairs of opposite sides are parallel and congruent (of equal length). The opposite sides of a rectangle are also perpendicular (form a right angle) to each other. The area of a rectangle is equal to the product of its length and width, while its perimeter is equal to the sum of the lengths of all its sides. Rectangles are commonly used in geometry, architecture, engineering, and many other fields.

According to the question:
Since each unit on the graph represents 25 feet, the dimensions of the original rectangle ABCD are:

AB = 4 units, which represents 4 x 25 = 100 feet

BC = 3 units, which represents 3 x 25 = 75 feet

Therefore, the perimeter of ABCD is 2(AB + BC) = 2(100 + 75) = 350 feet.

When dilating by a scale factor of 2.5, each dimension of ABCD will be multiplied by 2.5. Therefore, the dimensions of the dilated rectangle A'B'C'D' are:

A'B' = AB x 2.5 = 100 x 2.5 = 250 feet

B'C' = BC x 2.5 = 75 x 2.5 = 187.5 feet

The perimeter of A'B'C'D' is 2(A'B' + B'C') = 2(250 + 187.5) = 875 feet.

Therefore, Kenny will need to fence a perimeter of 875 feet. At a cost of $5.25 per foot, the total cost of fencing will be:

875 feet x $5.25/foot = $4,593.75

Therefore, Kenny will spend $4,593.75 on fencing the dilated rectangle.

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Answer:

60.72

Step-by-step explanation:

you multiply 25.3 by 2.4

Answer:  6 * 24 = 144 ways.

Step-by-step explanation:

Solution:

Given word => DANGER.

The condition is that vowels can't occupy odd places so, we will let them occupy even places.

A total number of arrangements will be = 6 * 24 = 144 ways.

Answer: 6x24 = 144 ways.

Answer:

$16.65

Step-by-step explanation:

To turn percentages into coefficients divide by 100, so 85% become .85. She marks them up or adds a cost of 85% so instead of using .85 we use 1.85. so 1.85 times initial cost of candle is 1.85*9=16.65

Answer: m<ABC = 45 degrees, m<DBC = 36 degrees

Step-by-step explanation:

set both equations equal to 81 because they add up to form one angle:

5x + 6 + 9x - 9 = 81

Combine like terms

14x - 3 = 81

Add three to both sides

14x = 84

Divide by 14 to find x

x = 6

To find the angles:

Measurement of angle ABC:

9(6) - 9 = 45 degrees

Take the original angle of 81 and subtract the angle you just found to find the remaining angle:

81 - 45 = 36

Therefore, the angle of DBC is 36 degrees

Step-by-step explanation:

I just answered this. please look at your copy post.

The correct description is:

"A ray with a red dot at minus 13, and it passes through minus 5"

Here we have the inequality:

(-1/4)*(12x + 8) < -2x + 11

First, we need to solve it for x, we can do it by isolating x.

(-1/4)*(12x + 8) < -2x + 11

-3x - 2 < -2x + 11

-2 - 11 < -2x + 3x

-13 < x

Then the solution set is the set of all numbers larger than -13. The graph of this will be an open dot at the number -13, and an arrow that goes to the right along the number line.

So the correct option is:

A ray with a red dot at minus 13, and it passes through minus 5 (notice that -5 is at the right of -13).

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Answer: 1 1/2

Step-by-step explanation: I took it on k12

Answer:

The answer is 1 1/2 for K12

Answer:

It is closer to 1/2 than anything

Step-by-step explanation:

so 1/2

The output levels that will maximize profits are Q1 = 52.5 and Q2 = 52.5.

To maximize profits, we need to find the output levels of the two goods that will maximize the difference between total revenue and total cost (i.e., profit).

The profit function can be expressed as:

π = TR - TC

  = 15Q1 + 18Q1^2 + 15Q2 + 18Q2^2 - 20 - 2Q1.Q2 - 393

Taking the partial derivative of the profit function with respect to Q1 and setting it equal to zero, we get:

∂π/∂Q1 = 15 + 36Q1 - 2Q2 = 0

Taking the partial derivative of the profit function with respect to Q2 and setting it equal to zero, we get:

∂π/∂Q2 = 15 + 36Q2 - 2Q1 = 0

Using Cramer's rule, we can solve for Q1 and Q2:

Q1 = (2(15) - (15)(36))/(-4) = 52.5

Q2 = (2(15) - (15)(36))/(-4) = 52.5

Therefore, the output levels that will maximize profits are Q1 = 52.5 and Q2 = 52.5.

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As per the interpretation, the probability of observing 53 or more claims out of 80 claims is 0.0018

As per the concept of hypothesis, the difference between a diet soda and a regular soda illustrates normal distribution and the null hypothesis that  and accept the alternate hypothesis.

Here we have given parameters are,

The value of x = 53 and the value of n = 80

=> p = 0.5 the proportion to put on half diet

Therefore, the null and the alternate hypotheses is written as,

=> H0 p = 0.5

=> Ha p > 0.5

Now, we have to calculating the proportion of individuals in the sample on half diet

=> p = x/n

=> p = 53/80

=> p = 0.6625

Then we have to calculate standard error, by using the formula,

=> SE = √p(1-p)/n

Now, we have to apply the values on it, then we get

=> SE = √0.5(1-0.5)/80

=> SE = 0.0559

Then the value of z-score is calculated as:

=> Z = (P-P)/SE

Here we have to apply the values on the formula, then we get

=> z = (0.6625-0.5)/0.0559

=> z= 0.1625/0.0559

=> z= 2.9070

Now, the p-value is calculated as,

=> p = P(z > 2.9070)

Here from z-score of probabilities, we have:

=> p = 0.0018246

=> p = 0.0018

Therefore, p-value is less than α = 0.05.

Therefore, here we reject the null hypothesis that P = 0.5 and accept the alternate hypothesis.

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The surface area of the given two rectangular prism is given as follows:

498 cm².

The surface area of a rectangular prism of length l, width w and height h is given as follows:

S = 2(lw + wh + hl).

For this problem, there are two prisms, with dimensions given as follows:

Hence the surface area of the figure is the combined surface area of each figure, hence:

S = 2(7 x 7 + 12 x 7 + 12 x 7) + 2(2 x 7 + 2 x 2 + 7 x 2) = 498 cm².

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Answer:

Step-by-step explanation:

Given the system of equation

3x1 − 2x2 + x3 = −10 ............. 1

2x1 + 6x2 − 4x3 = −10 ............ 2

−8x1 − 2x2 + 5x3 = −26  ............... 3

Reduce the system of equations:

multiply equation 1 by 3 and add to 2

Eqn 1 * 3 gives;

9x1 − 6x2 + 3x3 = −30

Add to equation 2:

9x1+2x1 +(3x3-4x3) = -30-10

11x1 - x3 = -40 ........... 4

multiply eqn 3 by 3 and add to eqn 2

eqn 3 * 3 gives

−24x1 − 6x2 + 15x3 = − 78

Add to eqn 2:

-24x1+2x1)+15x3-4x3 = -78-10

-22x1 + 11x3 = -88 ......... 5

solve 4 and 5:

11x1 - x3 = -40 ........... 4 * 2

-22x1 + 11x3 = -88 ......... 5 * 1

.....................................................

22x1 - 2x3 = -80

-22x1 + 11x3 = -88

Add together:

-2x3 + 11x3 = -80-88

9x3 = -168

x3 = -168/9

x3 = 18.7

subtitute x3 = 18.7 into 4

11x1 - 18.7 = -40

11x1 = -40+18.7

11x1 = -21.3

x1 = -21.3/11

x1 = -1.93

Substitute x1 and x3 into 1

3(-1.93)− 2x2 + 18.7 = −10

- 5.79-2x2 = -28.7

-2x2 = -18.7 +5.79

-2x2 = -22.91

x2 = 11.455

Answer: Use this rule to change the term to a radical:

x

1

n

=

n

√

x

18

1

2

⇒

2

√

18

⇒

√

18

We can simplify this expression, if necessary, by using this rule for radicals:

√

a

⋅

b

=

√

a

⋅

√

b

√

18

⇒

√

9

⋅

2

⇒

√

9

⋅

√

2

⇒

3

√

2

Step-by-step explanation:

The equivalent radical expression for the exponential expression \(18^{1/2}\) will be √18.

The positive number, when multiplied by itself, represents the square of the number.

Under the root of any number gives a number by which if we multiply by the same number then it will give us the same number.

For example √4 =2

If we multiply 2×2 then it gives us 4.

√x is also written as \(x^{1/2}\)

So,

\(18^{1/2}\)  ≡  √18 o will be the correct term in the radical expression.

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Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation: Because grant had his age added by 6, therefore add 6 to 4 for 10.

Answer:

F'(-3) = 18

Step-by-step explanation:

Let g(x) = u and apply the chain rule

\(F(x)=f(g(x))=f(u)\\F'(x)=\frac{df(u)}{du}\)

\(\frac{du}{dx}=g'(x)\)

\(\frac{df(u)}{du}*\frac{du}{dx} = \frac{df(u)}{dx}\\F'(x)= \frac{df(u)}{du}*g'(x)\\F'(x)= f'(u)*g'(x)\\F'(x)= f'(g(x))*g'(x)\)

We now have all of the necessary definite values to solve the expression for x= -3:

\(F'(-3)= f'(g(-3))*g'(-3)\\F'(-3)= f'(-4)*6\\F'(-3)= 3*6\\F'(-3)= 18\)

Finally, we have that F'(-3)= 18.

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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By applying the features of polynomials, the quadratic function g(x) = (1/5) · x² - 2 · x + 21/5 passes through the points (x₁, y₁) = (-8, 33), (x₂, y₂) = (2, 1) and (x₃, y₃) = (8, 1).

Polynomials are algebraic expressions of the form \(\sum \limits_{i=0}^{n} c_{i}\cdot x^{i}\), where \(c_{i}\) is the i-th coefficient of the polynomial and n is the grade of the polynomial. In addition, we know that polynomials have n + 1 coefficients.

In the case of quadratic functions, the grade is 2 and the function have three coefficients. Hence, we need three distinct points to determine all the coefficients of a quadratic function.

(x₁, y₁) = (-8, 33)

64 · a - 8 · b + c = 33     (1)

(x₂, y₂) = (2, 1)

4 · a + 2 · b + c = 1     (2)

(x₃, y₃) = (8, 1)

64 · a + 8 · b + c = 1     (3)

Then, we find the solution of this system of linear equations:

a = 1/5, b = -2, c = 21/5

By applying the features of polynomials, the quadratic function g(x) = (1/5) · x² - 2 · x + 21/5 passes through the points (x₁, y₁) = (-8, 33), (x₂, y₂) = (2, 1) and (x₃, y₃) = (8, 1).

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Answer:

B, because first of all, y = 4x + 6, so you could cross off A. It can't be C either because there are 4x, not 4y. And it can't be D because Y is also 6 more. If it was 6 more, 4x - y would be a negative number since y is more than 4x.

Step-by-step explanation:

The greatest common factor for 4x³+16x² +8x is 4x(x2- 4x - 2).

This solution focuses on simplification:

4x(x2-4x-2)

(4(x3)-24x2)-8x

(22x3-24x2) -8x

Take similar factors aside:

4x3-16x2-8= 4x(x2-4x-2)

Factoring  x2 - 4x - 2

x2 is the initial term, and it has a coefficient of 1.

The coefficient of the intermediate term, which would be -4x, is 4.

"The constant," the final term, is -2.

Multiply the constant by the coefficient of the first term. 1  -2 = -2

The second step is to find two -2 factors whose sum is equal to the -4 coefficient of the middle word.

-2 + 1 = -1

-1 + 2 = 1

No two of these factors can be discovered!!

Trinomial cannot be factored.

Hence,  The greatest common factor is  4x(x2- 4x - 2).

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Answer: obtuse

Step-by-step explanation:

64+47=111

111>39