If 9 feet 2 inches of baseboard cost $15 how much would 75 feet cost?

9514 1404 393

Answer:

  widen

Step-by-step explanation:

The vertical scale factor is 3/4, so the vertical extent is shortened at a given x-value distance from the axis of symmetry. That will give the appearance of making the parabola (slightly) wider.

Answer:

Step-by-step explanation:

Their approximate heating expense would be $1,920. Hope this helps!

The approximate cost of heating expense for the year is $ 1920

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total cost of expense for heating be = A

Now , the equation will be

The amount of heating oil used by Kranepool family = 431 gallons

Now , the cost per gallon of heating oil = $ 4.12

And , the percentage increase in the price of oil = 8.25 %

So , the new cost per gallon of heating oil be = P

The value of P is = cost per gallon of heating oil + 8.25% x cost per gallon of heating oil

Substituting the values in the equation , we get

The value of P is = 4.12 + ( 8.25/100 ) x 4.12

The value of P is = 4.12 + 0.3399

The value of P is = $ 4.4599

Now , the total cost of expense for heating = cost per gallon of heating oil x amount of heating oil used by Kranepool family

Substituting the values in the equation , we get

Total cost of expense for heating A = $ 4.4599 x 431

Total cost of expense for heating A = $ 1922.2169

Total cost of expense for heating A = $ 1922

Rounding to the nearest 10 dollar , we get = $ 1920

Therefore , the value of A is $ 1920

Hence , The approximate cost of heating expense for the year is $ 1920

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Answer:

not possible

Step-by-step explanation:

f(2)=2^2-4=0

g(f(2))=5/0 it's not possible

The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.

It is a scale among 0 and 1 that represents the probability or likelihood of an event happening. In many disciplines, including statistics, physics, economics, law, and computer science, probability theory is extensively used. Many situations, such as games of chance, weather predictions, medical diagnoses, and more, can be explained using the concept of probability. The mathematical computation of probabilities, the analysis for random variables, and the conclusion-making process are all included in the study of probability.

given

The likelihood that 162 or more kids in a randomly chosen sample of 340 pupils will have received a referral in that particular year can be calculated using the normal distribution.

Calculating the sample proportion is necessary:

The predicted value of p is equal to the 0.34 underlying proportion of referred pupils. It is possible to compute the sample proportion's standard deviation as follows:

P equals sqrt[p(1-p)/n] = sqrt[0.34(1-0.34)/340] = 0.031

Calculate the z-score to determine the likelihood of locating 162 or more kids with referrals:

\(z = (0.476 - 0.34) / 0.031 = 4.39\)

The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.

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The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

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Answer:

\(34\pi\) cm

Step-by-step explanation:

\(\text{A circle's circumference is equal to 2r, where PC is the radius.}\)

\(\text{A circle's radius is the line traced from the circle's center to its perimeter.}\)

\(\text{According to the figure, the radius is determined by the line drawn from the center}\)

\(\text{P to the circumference C, which is PC, i.e. PC = radius = 17cm.}\)

\(\text{We may get the circumference of a circle by substituting the radius value into the}\)

\(\text{formula;}\)

\(\text{2 (circumference) (17)}\)

\(\text{Circumference =}\) \(34\pi(\text{In terms of} \pi )\)

Answer:

34π cm

Step-by-step explanation:

Hello!

The circumference of a circle is found using the formula \(P = 2\pi r\)

We have the radius, PC(17), so we can plug it into the formula to find the perimeter.

Since we are leaving it in terms of Pi, we don't have to further simplify it.

The perimeter is 34π cm.

Answer:

28%

Step-by-step explanation:

total percent is 100%

we could rewrite the equation as:

48% + 24% + f = 100%

72% + f = 100%(subtract 72 on both side)

f = 28%

Answer:

Angle formed by two chords is half of the sum of intercepted arcs:

Angle formed by two secants is half difference of intercepted arcs:

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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The interval of the domain where the function is decreasing are (0, 1) and (3, 4)

From the question, we have the graph that represents the given parameters that can be used in our computation

To determine the decreasing interval on the graph, we look for the points where

The intervals that represent the above highlights are

This can be represented as (0, 1) and (3, 4)

Hence, the intervals are (0, 1) and (3, 4)

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Answer:

b = 11.81 m

Step-by-step explanation:

b = c . sinB = 17sin44 = 11.81

a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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The correct answer is: O Yes, distance and angle measure are preserved.

When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.

This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.

Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.

Here's why:

Distance preservation:

When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.

This holds true for all corresponding points of the triangle.

Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.

Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.

Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.

It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.

If the line of reflection were different, the triangles would not be congruent.

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Answer:

425.29

Step-by-step explanation:

\(P=300\left(1+\frac{0.07}{12} \right)^{(12)(5)} \approx 425.29\)

Answer: $364.65

Step-by-step explanation: A = P ( 1 + r / n ) ^ nt

= 300 ( 1 + 0.05 ) ^ 4

300 x 1.05 ^ 4

364.651875

rounded to nearest tenth is 364.65

Step-by-step explanation:

1/4

90%

1.5

0.005

6/10

25%

2/10

49.5

3/4

0.4

Answer:

(x + 2) (x +4) (x^2 + 25)

Step-by-step explanation:

Just did this problem

(  +  2 )  ( ^3  +  4 ^2  +  2 5  +  1 0 0 )

(  +  2 )  (  +  4 )  ( ^2  +  2 5 )

A factor is a number that completely divides another number. The factored form of the polynomial is (x² + 25 )(x + 2 )(x + 4 ).

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

The given expression can be factorized using the steps as shown below. Therefore, we can write the steps as,

Rewrite for factoring : (\(x^{2}\) + 33\(x^{2}\) + 200) + 6\(x^{3}\) + 150\(x^{}\)

Rewrite the term: x⁴ + 8x² + 25x² + 200 + 6x³+ 150x

Regroup terms into two proportional parts: (x⁴ + 8x²) + (25x² + 200) + 6x³ 150x

Factor Greatest Common Factors out: x²(x² + 8 ) + 25(x² + 8) + 6x³ +150x

Factor Greatest Common Factors out:

(x² + 8 )(x² +25 ) + (6x³ + 150 )

Rewrite the term: (x² +25 )(x² + 2x + 4x + 8)

Regroup terms into two proportional parts: (x² + 25 ){(x + 2x ) + (4x +8)}

Factor Greatest Common Factors out: ( x² + 25 ){(x(x + 2)  + 4(x + 2)}

Factor Greatest Common Factors out: (x² + 25 )(x + 2)(x + 4)

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The error is:

∠M and ∠N are supplementary.

m∠M + m∠N = 180

∠N and ∠0 are supplementary.

m∠N + m∠0 = 180

We have,

In a parallelogram, consecutive angles are supplementary.

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Since opposite sides are parallel, opposite angles in a parallelogram are congruent (equal in measure).

Consecutive angles are the pair of angles that share a side in the parallelogram.

The sum of the measures of these consecutive angles is always 180 degrees, making them supplementary.

Thus,

The error is:

∠M and ∠N are supplementary.

m∠M + m∠N = 180

∠N and ∠0 are supplementary.

m∠N + m∠0 = 180

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The probability of getting a black card and a numbered card is 9/26.

To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.

There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).

Therefore, the probability of drawing a black card (P(E1)) is:

P(E1) = Number of favorable outcomes / Total number of possible outcomes

P(E1) = 26 / 52

Simplifying this fraction, we get:

P(E1) = 1/2

So the probability of drawing a black card is 1/2.

To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.

Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.

Therefore, the probability of drawing a numbered card (P(E2)) is:

P(E2) = Number of favorable outcomes / Total number of possible outcomes

P(E2) = 36 / 52

Simplifying this fraction, we get:

P(E2) = 9/13

So the probability of drawing a numbered card is 9/13.

To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:

P(E1 ∩ E2) = P(E1) × P(E2)

P(E1 ∩ E2) = (1/2) × (9/13)

Simplifying this fraction, we get:

P(E1 ∩ E2) = 9/26

Therefore, the probability of getting a black card and a numbered card is 9/26.

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Answer: A 15/100

Step-by-step explanation:

1. Convert 17/20 into percents

2. You get 85% Which is how much of her homework she has completed

3. To find what she has left subtract 85 from 100

4. You get 15 or 15/100 or 15% more of the test she hasn’t completed and needs to complete

4.835

(full number)

4.8357033e+24

2^82 = 4.83 We have to add the decimal to fine the real number.

A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.

For example, \(= > 3^82 = 1.33\) so:

→ 2^82

→ = 4.83 with a decimal.

Therefore, 2^82 = 4.83 We have to add the decimal to fine the real number.

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FIFO - March cost of goods sold = $13,050. March 31 inventory = $7,350. LIFO - March cost of goods sold = $14,600. March 31 inventory = $5,800.

To calculate March cost of goods sold we need to add the given data for FIFO =

March cost of goods sold

= (2,800 + 3,700 + 6,550)

= 13,050

To calculate March cost of goods sold we need to add the given data for LIFO =

March cost of goods sold

= (3,400 + 4,400 + 6,800)

= 5,800

Sales data refers to the information collected and recorded about the transactions that occur when a business sells products or services to customers. This data typically includes details such as the date and time of the sale, the products or services sold, the quantity sold, the price paid, and the customer's information. Sales data is crucial for businesses as it helps them understand their sales performance, identify trends and patterns and make informed decisions about their pricing, marketing and inventory management strategies.

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Answer:

Since all three distances are equal to 2√3, we can conclude that the points 2, -1+i√3, -1-i√3 form an equilateral triangle on the Argand plane. This proves the statement.

Step-by-step explanation:

To prove that the points 2, -1+i√3, -1-i√3 form an equilateral triangle on the Argand plane, we need to show that each side of the triangle has the same length, which is equal to the distance between any two of the points.

Let's first find the distance between points 2 and -1+i√3. We can use the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

where (x₁, y₁) = (2, 0) and (x₂, y₂) = (-1, √3). Substituting in the values, we get:

d₁ = √[(-1 - 2)² + (√3 - 0)²] = √[9 + 3] = √12 = 2√3

Next, let's find the distance between points -1+i√3 and -1-i√3:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

where (x₁, y₁) = (-1, √3) and (x₂, y₂) = (-1, -√3). Substituting in the values, we get:

d₂ = √[(-1 - (-1))² + (-√3 - √3)²] = √[0 + 12] = 2√3

Finally, let's find the distance between points -1-i√3 and 2:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

where (x₁, y₁) = (-1, -√3) and (x₂, y₂) = (2, 0). Substituting in the values, we get:

d₃ = √[(2 - (-1))² + (0 - (-√3))²] = √[9 + 3] = √12 = 2√3

Since all three distances are equal to 2√3, we can conclude that the points 2, -1+i√3, -1-i√3 form an equilateral triangle on the Argand plane. This proves the statement.

Units were not specified in the question, so the distances are expressed in arbitrary units.

Answer:

smallest whole number is 0 so product of 0 is 0

smallest natural number is 1 so product of 1 is 1

Product of 22 and 49 is

(22)(49) = 1078

Option C

Given :

the product of 22 and 49

Explanation :

We need to find which option is correct to find product of 22 and 49

Product mean multiplying the numbers

so we need to multiply 22 and 49

22

49

----------

198

88

-------------

1078

So the product of 22 and 49 is 1078

(22)(49)=1078

Option C is correct

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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Answer:

the slope is +7

Step-by-step explanation:

m means slope in the formula y=mx+b

Missing part:

What is the probability that an international flight leaving the US is delayed in departing given that the flight is a transpacific flight?  

Answer:

\(P(D|P) = 0.50\)

Step-by-step explanation:

Given

\(P(D) = 0.26\)

\(P(P) = 0.50\)

\(P(D\ and\ P) = 0.13\)

The question illustrates conditional probability and it is represented as:

P(D|P)

This is then calculated as:

\(P(D|P) = \frac{P(D\ and\ P)}{P(D)}\)

So, we have:

\(P(D|P) = \frac{0.13}{0.26}\)

\(P(D|P) = 0.50\)

The probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

Let's use the formula for calculating the probability of the intersection of two events: P(A and B) = P(A) × P(B|A), where P(B|A) is the probability of event B occurring given that event A has occurred.

Let A be the event that it is raining, and B be the event that the flight is delayed. We are looking for P(A and B).

We know that:

P(A) = 0.1 (the probability that it will rain)

P(B) = 0.11 (the probability that the flight will be delayed)

P(not A and not B) = 0.88 (the probability that it will not rain and the flight will leave on time)

We can use the complement rule to find P(A or B):

P(A or B) = 1 - P(not A and not B)

P(A or B) = 1 - 0.88

P(A or B) = 0.12

Now we can use the formula for the intersection of two events:

P(A and B) = P(A) × P(B|A)

We know that P(A) = 0.1, and we need to find P(B|A), the probability of the flight being delayed given that it is raining.

We can use Bayes' theorem to find P(B|A):

P(B|A) = P(A and B) / P(A)

P(B|A) = (P(A) × P(B|A)) / P(A)

P(B|A) = P(B and A) / P(A)

We can rearrange this to get:

P(A and B) = P(B|A) × P(A)

Substituting the values we know:

P(B|A) = P(A and B) / P(A)

0.11 = P(A and B) / 0.1

P(A and B) = 0.11 × 0.1

P(A and B) = 0.011

Therefore, the probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

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Answer:

length is 28,breadth is 29

Step-by-step explanation:

firstly we need to know the definition of consecutive integers:-Consecutive integers are those numbers that follow each other . They follow in a sequence or in order.

let the length and breadth be represented by n and n+1

since we are given in perimeter

perimeter of a rectangle =2(length+breadth)

114=2(n+n+1)

114=2n+2n+2

114=4n+2

114-2=4n

112=4n

n=28

:-n=28,(n+1)=28+1=29

:-the length is 28 and the breadth is 29

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Answer:

It's asking what numbers (or integers) will equal to the number given. so it could be any four numbers that will give you 2174 exactly

Step-by-step explanation:

If this doesn't simplify it enough, let me know

Answer:

Here's your answer.......

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