Find the area of the region bounded by the parabola x = -y^2 and the line y = x + 2.

Answer:

17
step by step solution:

6 = 3z - 45
What I like to do is move everythint that has letters to the left and everything that doesn't to the right. Moving a number to another side either makes them a negative or a positive.

-3z + 6 = -45
We move the 6 to the right side.

-3z = -51

To get z, we just have to divide what we have left on the right side by the left side (without the letter). We get this.

z = -51 / (-3)

Calculate -51 / (-3) and you get your answer.
z = 17

Answer:

B

11

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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Answer:

5.66 units

Step-by-step explanation:

base: 8-4 = 4

rise: -3-(-)7 = 4

4^2+4^2 = d^2

d^2 = 32

d=5.66 units

Answer: 6

Step-by-step explanation:   6

Between the middle point is 6.

The total cost of paying off a $2, 000 of credit card debit is $2,723.45, under the condition that  debit at 20% interest by making $50 payments per month.

In this case  the individual have a $2,000 balance at 20% APR and a 1% minimum payment, it would take 186 months (approx 15 yrs) to pay off the card by making only minimum payments

Now to calculate the total cost

Total interest paid = $2,719.12 - $2,000 = $719.12

Number of payments = $2,000 / $50 = 40

Total time to pay off debt = 40 months

Total cost of paying off debt = $2,719.12

Hence, the total cost of paying off $2, 000 of credit card is $2,719.12.



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The completed table would look like this

Mass (kg)       12       24        36      48      60

Percentage   20%    40%   60%   80%   100%

The double number line represents Henrik's mass, which is 60 kg. The second tick mark on the Mass line corresponds to this value. The Percentage line ranges from 0% to 100%, representing the percentage of Henrik's mass. To complete the table, we need to calculate the different percentages.

To find a certain percentage of Henrik's mass, we locate the corresponding point on the Percentage line and draw a vertical line to intersect the Mass line. We can then read the mass value at that intersection point.

For example, to find 20% of Henrik's mass, we locate the point on the Percentage line labeled "20%." Drawing a vertical line from this point, it intersects the Mass line at a value of 12 kg. Therefore, 20% of Henrik's mass is 12 kg.

Similarly, for 40% of Henrik's mass, the vertical line intersects the Mass line at a value of 24 kg.

In summary, the completed table  would look like this

Mass (kg)       12       24        36      48      60

Percentage   20%    40%   60%   80%   100%

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The power to which a number or expression is raised is called the exponent.

1. An exponent is a mathematical notation that represents the power to which a number or expression is raised. It is written as a superscript number or variable placed above and to the right of the base number or expression.

2. The base number or expression is the number or expression that is being multiplied repeatedly by itself, raised to the power of the exponent.

3. The exponent tells us how many times the base number or expression should be multiplied by itself. For example, in the expression \(2^3\), the base is 2 and the exponent is 3. This means that 2 should be multiplied by itself three times: 2 * 2 * 2 = 8.

4. The exponent can be a positive whole number, a negative number, zero, or a fraction. Each of these cases has different interpretations:

  - Positive exponent: Indicates repeated multiplication. For example, \(2^4\)means 2 multiplied by itself four times.

  - Negative exponent: Indicates the reciprocal of the base raised to the positive exponent. For example, \(2^{-3\) means 1 divided by \(2^3\).

  - Zero exponent: Always equals 1. For example, \(2^0\) = 1.

  - Fractional exponent: Represents a root. For example, \(4^{(1/2)\)represents the square root of 4.

5. Exponents follow certain mathematical properties, such as the product rule \((a^m * a^n = a^{(m+n)})\), the quotient rule \((a^m / a^n = a^{(m-n)})\), and the power rule \(((a^m)^n = a^{(m*n)})\).

Remember to use these rules and definitions to correctly interpret and evaluate expressions involving exponents.

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For each of these problems, remember SOH-CAH-TOA.

Sine = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.

6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.

7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.

8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.

Hope this helps!

Answer:

The answer is 36

Step-by-step explanation:

=16-4(-5)

=16-(-20)

=36

If the stream narrows from 30 feet to 20 feet, the width of the stream has narrowed, and the velocity should increase. The correct answer is b.

According to the principle of conservation of mass, when the width of a stream narrows, the volume flow rate (the amount of water passing through a given point per unit time) must remain constant if there are no other factors involved.

The volume flow rate (Q) can be calculated as the product of the cross-sectional area (A) and the velocity (v): Q = A * v.

When the width of the stream narrows from 30 feet to 20 feet while the volume flow rate remains constant, the cross-sectional area decreases. To maintain a constant volume flow rate, the velocity must increase.

This is because the same amount of water is passing through a smaller cross-sectional area, requiring an increase in velocity to compensate for the reduced width.

Therefore, the correct statement is that the width of the stream has narrowed, and the velocity should increase.

The correct answer is b.

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Step-by-step explanation:

\( \frac{1}{3 } - \frac{2y}{9} = 19 \\ \frac{3 - 2y}{9} = \frac{171}{9} \\ 3 - 2y = 171 \\ 2y = 3 - 171 \\ 2y = - 168 \\ y = - 168 \div 2 \\ y = - 84\)

Answer: y = − 84

Step-by-step explanation:

Simplify 5(3y−1)−3(2y)

9y=24

divide by each term by 9

y=-84

Answer:

44 minutes

Step-by-step explanation:

Kiran reads 5 pages in 20 minutes, if we divide we will know that he reads 1 page in 4 minutes.

Multiply 4 by 11 to find out how long it will take him to read 11 pages.

11 times 4 = 44

It will take Kiran 44 minutes to read 11 pages.

Answer:

x = 12

Step-by-step explanation:

You apply distributive property on the parenthesis:

3.3x - 26.4 - x = 1.2

You then add like terms.

3.3x - x = 2.3x

2.3x - 26.4 = 1.2

You add 26.4 to both sides to isolate x.

(Additive property of equality.)

2.3x = 27.6

Divide both sides by 2.3

(Division Property of equality.)

x = 12

Answer:

Step-by-step explanation:

value of x must be any real number except 5

that is option 2.

value of y can be any real number

that is option 1.

Based on the property of function that is one input must have exactly one output.

the outputs can repeat themselves throughout the function whereas the input shouldn't repeat themselves.

Answer:

Step-by-step explanation:

Property: Each element in the input set should have one and only element in the output set.

1) Value of x can be  any real number except 5

2) Value of y can be  any real number except -2

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\(22 - \frac{6}{5 + 3} = \\ \)

\(22 - \frac{6}{8} = \\ \)

\(22 - \frac{3}{4} = \\ \)

\(22 - 0.75 = 21.25\)

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Answer:

both statements are true

Answer:

y = 2/3x + 4/3

Step-by-step explanation:

i found the slope using \(\frac{rise}{run}\). so it would be 2/3. next i just kinda tested similar numbers in the graph to find b.

if you aren't allowed to put factions i would say put:

y = 0.67x + 1.33

Answer:

\(2x - 3y + 4 = 0\)

Step-by-step explanation:

The formula of finding equation of two different point is

\( \frac{x - x1}{x1 - x2} = \frac{y - y1}{y1 - y2} \)

here, x1 =1, x2=4, y1= 2 and y2= 4

hope you can understand.

Answer:

D) 2(4a+7)

Step-by-step explanation:

when one divides both the number by 2 you get 4a+7 so the answer is 2(4a+7)

Answer:

(-1,1)

Step-by-step explanation:

The blanks in each statement about the line segment should be completed as shown below.

Since we know U is the midpoint, we can say TU=8x + 11 substituting in our values for each we get:

8x + 11 = 12x - 1

Solve for x

We now want to solve for x.

−4x+11=−1

−4x = -12

x= 3

Solve for TU, UV, and TV

This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.

TU=8x+11 We know that x=3 so let’s substitute that in.

TU=8(3)+11

TU= 35

We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.

UV=12x−1 We know that x=3 so let’s substitute that in.

UV=12(3)−1

UV= 35

Based on the segment addition postulate, we have:

TU+UV=TV

35+35=TV

TV= 70

Find the detailed calculations below;

TU = UV

8x + 11 = 12x - 1

8x + 11 - 11 = 12x - 1 - 11

8x = 12x - 12

8x - 12x = 12x - 12 - 12x

-4x = -12

x = 3

By using the substitution method to substitute the value of x into the expression for TU, we have:

TU = 8x + 11

TU = 8(3) + 11

TU = 24 + 11

TU = 35

By applying the transitive property of equality, we have:

UV = TU and TU = 15, then UV = 35

By applying the segment addition postulate, we have:

TV = TU + UV

TV = 35 + 35

TV = 70

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The Statement asked  based on the Variable is , True.

A variable is a symbol or letter that represents a quantity or value that can vary or change in a given context or problem. Variables can be used to express relationships between quantities or to describe patterns or trends in data. They can be either dependent or independent, depending on the context of the problem. An independent variable is a variable that is changed or controlled by the experimenter or observer, while a dependent variable is a variable that is affected or influenced by the independent variable.

True.

A continuous random variable is one that can take on any value within a certain range or interval, and its value is determined by measurement. Examples of continuous random variables include height, weight, temperature, and time, where the values can be any real number within a certain range.

In contrast, a discrete random variable can only take on certain values, typically integers, and its value is determined by counting. Examples of discrete random variables include the number of heads in a series of coin tosses, the number of cars sold in a day, and the number of defects in a batch of products.

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Answer:

0.70710678 is 2 root 1/2 simplified

Step-by-step explanation:

The linear speed of the Ferris wheel can be determined by calculating the circumference of the wheel and dividing it by the time it takes for one revolution. In this case, the linear speed of the Ferris wheel is 2π × 30 / 60 = π ft/s.

The linear speed of an object is the distance traveled per unit of time. For a circular motion, such as the Ferris wheel, the linear speed is related to the circumference of the circle.

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. In this case, the radius of the Ferris wheel is 30 feet, so its circumference is 2π × 30 = 60π feet.

The time it takes for one revolution of the Ferris wheel is given as 60 seconds.

To find the linear speed, we divide the circumference by the time taken for one revolution. Therefore, the linear speed is (60π feet) / (60 seconds) = π ft/s.

Thus, the linear speed of the Ferris wheel is π ft/s.

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Answer:

11.67

Step-by-step explanation:

Data given in the question

∠ADC = 42°

∠BAC = 68°

Let us assume that AC be Y

Now

In ΔACD

tan 42° = AC ÷ CD = Y ÷ x ...............................(i)

In ΔACB  

tan 68° = BC ÷ AC = 26 ÷ Y ..........................(ii)

Now take the value of Y from the equation (ii)

Y = 26 ÷ Tan 68° ...................... (iii)

Now place the value of Y in equation (i)

So,

Tan 42° = 26 ÷ tan 68° × X

X = 26 ÷  tan 68° × Tan 42° ......................(iv)

Now placing the values of tan 42° and tan 68° in equation (iv)

So,

X = 26 ÷ 0.900 × 2.475

= 11.67

The tan 42° = 0.900

And, the tan 68° = 2.475

The measure of the largest angle is 96 degrees.

What is a ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3

The measure of the largest angle in the triangle is 96 degrees.

To find the measure of the largest angle, we can use the fact that the sum of the measures of the angles in a triangle is always 180 degrees.

Let's call the measures of the three angles x, y, and z, where x is the measure of the smallest angle, y is the measure of the middle angle, and z is the measure of the largest angle.

We are given that the ratio of the angles is 3:5:8, which means that x:y:z = 3:5:8.

We can set up the following equation to represent the sum of the measures of the angles in the triangle:

x + y + z = 180

We can also set up the following equation to represent the ratio of the angles:

x : y : z = 3 : 5 : 8

We can use these two equations to find the measure of the largest angle.

First, let's multiply the second equation by 3, 5, and 8 to get:

3x = 15y = 24z

Then, we can substitute these equations into the first equation to get:

15y + 24z = 180

Solving for z, we get:

z = 180 / (15+24) = 180 / 39 = 96

Therefore, the measure of the largest angle is 96 degrees.

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Answer: $194

Step-by-step explanation:

1.) $120 / 5 days = $24 per day

2.) $120 + $24(3) = $194

Answer:

Robin will earn $192 in 8 days.

Step-by-step explanation:

To make this easier, you can divide $120 by 5, which equals 24. Now, take the 8, and multiply it by 24.

8 x 24 = $192

Brainliest please! I am so close to getting my next rating! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

$273

Step-by-step explanation:

Given data

Jane worked 38 hours at the grocery store last week and made $296.40

she worked 3 hour less= 38-3= 35 hours

Hence if in 38 hours she made   $296.40

              in 35 hours she will make x

cross multiply

x= 35*296.40/38

x= 10374/38

x=$273

Answer:

127 is the IQR.

Step-by-step explanation:

C: 4

IQR (interquartile range) can be found by subracting Q1 from Q3 (Q3 - Q1)

Reposting because Katie from the Brainly staff seems to think simple subtraction is a violation of community guidelines ¯\_(ツ)_/¯