Approximate the area under the graph of F(x)=0.7x3+7x2−0.7x−7 over the interval [−9,−4] using 5 subintervals. Use the left endpoints to find the heights of the rectangles. The area is approximately square units. (Type an integer or a decimal.)

The inequality that represent this scenario is x + y ≤ 12 and y > 5

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the rings and y represent the pin

There were no more than 12 of these, hence:

x + y ≤ 12

and

y > 5

The inequality that represent this scenario is x + y ≤ 12 and y > 5

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Answer:

there right i took the test

Step-by-step explanation:

cant add more because they covered it all

Answer:

\(\huge\boxed{\text{B) } 22.5 \ \text{feet}}\)

Step-by-step explanation:

We can use basic trigonometric functions to find the closest height of the escalator.

Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.

Since all triangles have an angle sum of 180:

Now we know that the triangle looks something like this.

                   /  | 41°

                 /    |

               /      |

            /         |

30      /           |

       /              |                                                

     /                |

  /                   |

/__________| 90°

49°

We need to find the length of the side between the 41 and 90° angle.

To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).

Let's set up an equation and solve with our calculator.

We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.

Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.

Hope this helped!

Answer:

The answer is B.

Step-by-step explanation:

B. 22.5 feet

The domain is  (- infinity , infinity ) and range is [ -2 , infinity )

A relation is a function if it has only One y-value for each x-value.

The domain of a function is the complete set of possible values of the independent variable

The domain of a function is the set of values that we are allowed to plug into our function.

This set is the x values in a function such as f(x).

domain : (- infinity , infinity )

The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

range : [ -2 , infinity )

Hence, the domain is  (- infinity , infinity ) and range is [ -2 , infinity )

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The answer would be -32.

Answer:

-32

Step-by-step explanation:

-24 - 8 = -32

Answer:

x = 5 or x = -5

Step-by-step explanation:

I took the k12 quiz

The solutions are x = 5 and x = -5 for the given equation √10x+50=x+5.

Two or more expressions with an Equal sign is called as Equation.

To solve for x in the equation √(10x+50) = x+5, we can first isolate the radical term by squaring both sides:

(√(10x+50))²= (x+5)²

Simplifying the left side gives:

10x+50 = x² + 10x + 25

Combining like terms and moving all terms to one side, we get:

x² - 25 = 0

This is a quadratic equation that can be factored as:

(x-5)(x+5) = 0

Therefore, the solutions are x = 5 and x = -5 for the given equation √10x+50=x+5.

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Answer:

1/2

Step-by-step explanation:

if you take the (2,2) and make it (6,10), you add 4 to the x and 8 to the y. putting this as rise over run (x/y) it comes out to four eighths (4/8). reducing that comes out to one half (4/8).

Answer:

Tom Brady.

Step-by-step explanation:

The NFL's winningest quarterback, Brady has won 230 regular season games and 34 postseason games for a combined 264 wins.

Answer:

(2/3)(x-2)=4x

Simplify the left side of the equation.

(2/3)x - (2/3)*2 = 4x

Simplify the second part of the left side.

(2/3)x - (4/3) = 4x

Subtract (2/3)x on each side.

-(4/3) = (10/3)x

Divide by (10/3) on each side.

-0.4 = x

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The probability of best simulations to choose one pair of shoes from two and one pair of socks from six can be to flip a coin and roll a die, respectively.

The total number of shoe pairs = 2

The number of pairs that need to be chosen from the total = 1

That is, the probability of choosing one pair out of 2 = 1 ÷ 2 = 0.5

The best simulation for 0.5 probability is flipping a coin, as it has the same probability ratio and has 2 sides to choose from.

The total number of sock pairs = 6

The number of pairs that need to be chosen from the total = is 6

That is, the probability of choosing one pair out of 6 = 1 ÷ 6

The best simulation for 1 ÷ 6 probability is rolling a die, as it has the same probability ratio and has 6 sides to choose from.

Hence, the best simulations are flipping a coin and rolling a die in the given case.

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

S=2t

or

T=1/2 S

Answer:

4/5

Step-by-step explanation:

Using the points \((-2,5)\) and \((3,9)\), the slope is \(\frac{9-5}{3-(-2)}=\frac{4}{5}\).

Given data:

The expression for the equation of the line is 6x-8y=40.

The given equation can be written as,

6x-8y=40

8y=6x-40

y=6x/8-40/8

=3x/4-5

Thus, the slope intercept form is y=3x/4-5.

Answer:

x=8.4

Step-by-step explanation:

cos(36)=x/10

x=10×cos(36)

x=10×0.8443

x=8.44

round up to the nearest tenth

so,x=8.4

Answer:

x = 8.1

Step-by-step explanation:

cos(c°) = \(\frac{adjacent}{hypotenuse}\), where c = 36, adjacent = x, and 10 = hypotenuse.

Therefore:

cos(36) = \(\frac{x}{10}\) (multiply both sides by 10)

10cos(36) = x

After plugging this into a calculator, you get:

8.0901699437 = x

Rounded to the nearest tenth:

x = 8.1

Answer:

3.75*A + 2.50*D = 35

A + D = 12

A = 12 - D

3.75*(12-D) +2.5*D= 35

45 - 3.75D + 2.5D = 35

45 - 1.25D = 35 |-35

10 - 1.25D = 0 |+1.25D

10 = 1.25D | /1.25

8 = D

A+D=12

A+8=12 |-8

A=4

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Answer:

The answers to your questions are given below.

Step-by-step explanation:

Polynomial 1:

12x² + 23x – 2

Name by degree: Quadratic because the highest power in the equation is 2.

Polynomial 2:

7x + 2

Name by number of terms: Binomial because the equation has two terms

Polynomial 3:

12

Name by degree: Constant because it has no variable

Name by number of terms: Monomial because it has only one term.

Answer:

Below

Step-by-step explanation:

28 to 33 is an increase of 5 miles

5/28 = .1786    which is   17.86 % increase

Answer:

a = 3

Step-by-step explanation:

Since x = 7 is a solution, substitute x = 7 into the equation and solve for a

4(7) - 2(7 + a) = 8 , that is

28 - 2(7 + a) = 8 ( subtract 28 from both sides )

- 2(7 + a) = - 20 ( divide both sides by - 2 )

7 + a = 10 ( subtract 7 from both sides )

a = 3

The graph is attached below :

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Answer:

336 feet²

Step-by-step explanation:

If we have a rectangle that is 30 by 20 feet, that means the area of that rectangle would be 20 × 30 feet squared, which is 600 ft².

If there is a 3 feet sidewalk surrounding it, that means that the end of the sidewalk will extend 3 feet extra around each side of plot. Since there are two ends to one side, that means an extra six feet is added on to each dimension. Therefore, 36 × 26 are the dimensions of the sidewalk+plot. 36 × 26 = 936 ft².

To find the area of the sidewalk itself, we subtract 600 ft² from 936 ft². This gets us with 336 ft².

Hope this helped!

Answer:

the time is the independent quantities and the dependent one is the mass of the turkey

Step-by-step explanation:

the reason is that the mass is the one determining the time but the time per pound is not going to change their for you can say with confidence that this is the answer.  

  hope you can learn from this response

The domain of the given graph is (-4,4]

The elements that make up a function are its domain and range. A function's domain is the set of all potential input values, while its range is the range of possible output values.

"All the values" that are input into a function are referred to as the domain of a function. The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.

Hence from the graph we get the domain as   (-4,4]

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Answer:

D

Step-by-step explanation:

fastest way to find out the answer is to replace each solution with the xs of the equation and see if it is Equal to 4. the only solution that is equal to 4 is D)1/3

The equation log3(2x - 2) = 3 can be rewritten without logarithms by using the exponentiation property of logarithms.

In exponential form, the equation becomes 3^3 = 2x - 2.

Simplifying further, we have 27 = 2x - 2.

To solve this equation, one would isolate the variable x by adding 2 to both sides of the equation, resulting in 29 = 2x. Finally, dividing both sides by 2 gives the solution x = 29/2.

Therefore, the equation log3(2x - 2) = 3 is equivalent to the equation 27 = 2x - 2, and the solution in exact form is x = 29/2.

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Answer:

$5111.76

Step-by-step explanation:

compounded daily means 365 times interest is compounded per year, so

A=4156x\((1+\frac{0.0345}{365}) ^{365x6}\) ≈ 5111,76

The value of x is -2 and y is 4. The solution has been obtained by using the concept of even functions.

What is an even function?

If x is a real number, then consider the function f(x). When -x is substituted in place of x and the expression remains the same as the original function, the function f(x) is said to be an even function. Accordingly, f(x) is said to be an even function if f(-x) = x for all real values of x.

With regard to the y-axis, the graph of the even function is symmetric. Therefore, even when the y-axis functions as a mirror, the graph of the even function remains unchanged.

Now, in the table, to make the functions even,

f(x) = x and f(-x) = x

So, in the x condition,

x = -2 as it has to be an even function and so both the n egative and positive x should be there.

In the y condition,

y=4

This is because f(-2) = 4

So, f(2) must also be 4.

Hence, the value of x is -2 and y is 4.

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By using the distributive property, you have:

Hence, the simplified expression is equal to 80