What is the domain of the given function?
{x | x= -6, -1, 0, 3}
{yly=-7, -2, 1, 9}
{xx = -7, -6, -2, -1, 0, 1, 3, 9}
{yl y = -7, -6, -2, -1, 0, 1, 3, 9}

45 less than the product of 18 and a number written as an algebraic expression is 45 < 18x

Information from the problem include

45 less than the product of 18 and a number

Writing the problem as algebraic expression

let the number be x

The product

= 18 * x

= 18x

45 less than the product

45 < 18x

solving for x

divide through by 18

45 / 18 < 18x / 18

5 / 2 < x  as a improper fraction

x > 2 1/2 as a mixed number

Therefore the required algebraic expression for 45 less than the product of 18 and a number is 45 < 18x

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Answer:

$93 per hour ?

125-405 = 280

280÷3= 93 per hour

The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.

To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.

These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.

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Answer: A

Step-by-step explanation: I just did 3.14x4

Answer:

Step-by-step explanation:

Area of a circle = πr²

r = radius and it is half of the diameter.

Diameter = 4 so radius = 2

Area = 3.14 (2)²

Area = 3.14(4)

Area = 12.56 yd²

Choice A

Answer:

Step-by-step explanation:

For number 2:

180-90= 90 degrees for 2 angles.

90-10=80/2= 40 degrees for x

For number 3:

180-60=120

Then divide by 3=120/3=40 is x

Ps. It is weird both answer were 40 but I assure you that it is correct!

option C is correct

b and c are parallel lines because they both are making equal angles at the point of intersection with line d

Answer:

the answer is c. because

95 plus 85 is equal to 180 mean its straight line

Step-by-step explanation:

The statement (a) "True" is correct. If a property holds for every integer smaller than n, and we can prove that if it holds for every integer smaller than n, then it holds for n as well, then we can conclude that the property holds for every integer.

To prove that a property holds for every integer, we can use mathematical induction. The principle of mathematical induction consists of two steps: the base step and the inductive step.

In the base step, we prove that the property holds for the smallest integer in consideration. For example, if we want to prove a property holds for every integer n, we would start by showing that the property holds for n = 1.

In the inductive step, we assume that the property holds for some integer k and then prove that it also holds for the next integer, k + 1. This step establishes the connection between consecutive integers and allows us to extend the property to all integers.

If we have shown that the property holds for the base case (in this case, n = 1) and we can prove that if the property holds for every integer smaller than n, then it holds for n as well, we can conclude that the property holds for every integer.

Therefore, the statement (a) "True" is correct. If a property holds for every integer smaller than n, and we can prove that if it holds for every integer smaller than n, then it holds for n as well, then we can conclude that the property holds for every integer.

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The cone cup can hold 6.14 cubic inches of water.

A volume refers to the space occupied within the boundaries of an object in three-dimensional space.

To get volume of the cone cup, we will use formula for the volume of a cone \(V = (1/3)\pi r^2h\) where r is the radius of the base and h is the height.

Given:

Diameter (d) = 2.5 inches

Radius (r) = d/2 = 2.5/2 = 1.25 inches

Height (h) = 3.75 inches

Volume (V) = (1/3)π(1.25)²(3.75)

= (1/3)π(1.5625)(3.75)

= 6.13592315154

= 6.14 cubic inches.

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Step-by-step explanation:

10 + 3x = 30 + 7x

collect terms that look alike on one side.

we can see that 3x & 7x have something in common which is x.

so move one of these to either of the equality's sides.

0 = 30 + 7x -10 - 3x

i changed the sign of 3x to -3x & 10 to -10 because we'll have to subtract 3x or 10 from the left side inorder for them to vanish & appear on the right hand side.

collect like terms.

0 = 30 - 10 + 7x - 3x

0 = 20 + 4x

take 20 to the left side to find x by dividing by 4.

20 = 4x

20 / 4 = x

5 = x

The third term, -2, becomes 0 because any constant value has a derivative of 0. Therefore, the derivative of the given function is f'(t) = 4t + 8.

The derivative of the function f(t) = 2t² + 8t - 2 can be found by using the rules of differentiation.

The derivative is the rate at which a function is changing with respect to an independent variable. It is the slope of the tangent line at any point on the function.

There are many rules of differentiation, and each rule is used to differentiate a different type of function. The general rule for differentiating a polynomial is to multiply each term by its coefficient and decrease the exponent by 1. Using this rule, the derivative of the given function f(t) = 2t² + 8t - 2 can be found as follows: f'(t) = 4t + 8.

The first term, 2t², becomes 4t because 2 * 2t² = 4t³, and when the exponent is decreased by 1, it becomes 3.

Similarly, the second term, 8t, becomes 8 because 8 * t¹ = 8t², and when the exponent is decreased by 1, it becomes

1. The third term, -2, becomes 0 because any constant value has a derivative of 0. Therefore, the derivative of the given function is f'(t) = 4t + 8.

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Answer:

5 · (2-6) equals 5 · (-4) which equals -20

5 · 2 - 5 · 6 equals 10 - 30  which equals -20

Step-by-step explanation:

Whatever is between brackets is what you calculate first. Then multiplication goes before addition or subtraction.

Once you learn the 'distributive property' you'll see that both expressions are actually related, i.e., the "5" distributes over the 2 and the -6.

Step-by-step explanation:

One game takes 10 minutes, 400 games would take 4000 minutes, so abt 2 days

Answer:

the fisrst cup has a volume of 100.53

Step-by-step explanation:

Answer:

d. 12

Step-by-step explanation:

if you rewrite the first as 2x + y = 4 and then multiply it by 3, it is equal to the second equation if the right hand side is 12.

If a system of equations contains dependent equations (ie., equal give or take a scale factor), then there is not one single solution but many.

Answer: its d, 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

X=2

Y=-7

Then if x is -6 u have to find what times 2 is -6 Which is -3.

so -7 x -3 is 21. Y is 21

Step-by-step explanation:

\( \frac{2}{ - 6} = \frac{ - 7}{y} \\ y = \frac{( - 6) \times (- 7)}{2} \\ y = \frac{42}{2} \\ \boxed{y = 21}\)

There isn't enough evidence to indicate that the percentage of Americans who own American-made cars is more than 53 percent.

A representative of a car manufacturer in the United States claimed that 53 percent of Americans owned American-made cars ten years ago.

However, today, the percentage is higher.

A research group conducted a study to find out whether the statement was true.

They found out that 56 percent of a random sample of car owners in the United States owned American-made cars. The appropriate hypothesis test produced a p-value of 0.283.

Assuming the conditions for inference were satisfied, is there sufficient evidence to conclude, at the level of significance of α = 0.05

At α = 0.05, we want to see if there is enough evidence to reject the null hypothesis.

Therefore, since α = 0.05, the null hypothesis (H0) should be tested against the alternative hypothesis (Ha).

H0: μ ≤ 0.53 (The percentage of Americans who own American-made cars is no higher than 53%).

Ha: μ > 0.53 (The percentage of Americans who own American-made cars is higher than 53%).

It is clear that the researcher's claim was not supported by the evidence since the p-value of 0.283 was far above the significance level of α = 0.05.

Therefore, there is no statistically significant evidence to reject the null hypothesis (H0).

The research group discovered that 56 percent of a randomly selected sample of car owners in the United States owned American-made cars.

The null hypothesis states that the percentage of Americans who own American-made cars is no higher than 53 percent.

Since the p-value was greater than 0.05, we failed to reject the null hypothesis.

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Answer:

it's the third one, x is greater than or equal to 25

Let d1 be the distance of the first boat to the lighthouse.  Then

     tan(36) = 50/d1

or

     d1 = 50/tan(36) ≈ 68.819096023558677

Let d2 be the distance of the second boat to the lighthouse.  Then

     tan(25) = 50/d2

or

     d2= 50/tan(25) ≈ 107.225346025477931

107.225346025477931 - 68.819096023558677 ≈ 38 (to the nearest meter)

Easy answer, Neighborhood Bank. But to see how:

$7,500 * 0.015 (1.5%) = $112.50

$112.50 a day times 360 days = $40,500

$40,500 times 20 = $810,000.

$810k times 20 = $16,200,000. (16.2mil)

$112.50 times 20 = $2,250.

So..

Answer:

the answer is ( p+2 ) (p+16)

Polynomial are expression that have a leading degree of 3. The other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3

Polynomial are expression that have a leading degree of 3. Given the following expression

Sum = –yz^2 – 3z^2 – 4y^4.

One of the polynomial = y – 4yz^2 – 3

Required

The other polynomial

Let the unknown polynomial be "a" such that:

a =  –yz^2 – 3z^2 – 4y^4 - (y – 4yz^2 – 3)

Expand

a =  –yz^2 – 3z^2 – 4y^4 - y + 4yz^2 + 3

a = 3yz^2 – 3z^2 – 4y^4 - y + 3

Hence the other polynomial function will be 3yz^2 – 3z^2 – 4y^4 - y + 3

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Answer: D. or 3yz^2-3z^2-5y+7

Step-by-step explanation: got it right on edge

The cross section of a shape is always a two dimensional figure. The cross section cannot be a sphere because a sphere is three dimensional.

A three dimensional shape is a shape that has length, width and height. Examples are cube, cuboid, sphere, prism, pyramid and so on.

The cross section of a shape is always a two dimensional figure. The cross section cannot be a sphere because a sphere is three dimensional.

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Answer:

Circumference of the cookie = 31.4 inches

Step-by-step explanation:

Given:

Radius of cookie = 5 inches

Find:

Circumference of the cookie

Computation:

Circumference of circle = 2πr

Circumference of the cookie = 2πr

Circumference of the cookie = 2(3.14)(5)

Circumference of the cookie = 31.4 inches

Answer:

50 pounds of beans costs $40

Answer:

80

Step-by-step explanation:

8+6^2×2

8 + 36 × 2

8+72

80

Answer:

80

Step-by-step explanation:

If you use PEMDAS you'll know to do parentheses first

6^2 is 6 times 6 which is 36

then you multiply 36 by 2

72

then add 8

80

Please give brainliest I need it

The correct option is option: rotation 90°counterclockwise about the origin.

What is transformation?

A transformation is generally the shifting of the picture for manipulating the shape or position of a point, a line, or a geometric figure.

Transformation is a process by which the orientation or size of a given picture is changed without any effect on the shape.

A rotation is one kind of transformation in which the object rotates about a fixed point or line. The direction of rotation is clockwise or anticlockwise.

It is clear from the figure that

the triangle ∆ABC is mapped over triangle ∆A'B'C' by rotating every point 90° from 2nd quadrant to 3rd quadrant by the rotation of  90° counterclockwise about the origin.

Therefore triangle is rotated 90°counterclockwise about the origin.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

A sum of was to be shared among three sidlings rambo nikita and kimroy in the ratio 3:7:9 if nikita and kimroy $2500 more than rambo evaluate the sum of money kimroys share

This question is incomplete. It lacks the amount of money that the 3 siblings share

Use the distance formula! Please refer to attached image

This means that the height, radius, and volume of the dilated cone are 2.5 times larger than the corresponding dimensions of the original cone.

To find the volume of the dilated cone, we can use the concept of similarity.

The ratio of the surface areas of similar objects is equal to the square of the ratio of their corresponding dimensions.

In this case, the surface area of the dilated cone is 2,250π in², which is 6.25 times larger than the surface area of the original cone (360π in²).

Since the surface area is proportional to the square of the dimensions, the dimensions of the dilated cone are √6.25 times larger than the dimensions of the original cone. Let's calculate the scale factor for the dimensions:

The original cone has a volume of 800π in³. Multiplying it by the scale factor (2.5) cubed gives us the volume of the dilated cone:

Volume of dilated cone = (2.5)³ ˣ 800π in³

Therefore, the dilated cone's volume is 12,500π in³.

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