The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 13 HCF of water is
$34.58, and the cost for using 24 HCF is $53.83. What is the cost for using 19 HCF of water?

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Step-by-step explanation:

The rules for significant digits are:

To round each number to one digit, round to the first digit.

a) 300,000

b) £200

c) 20,000 km

Answer:

650,000,000

Step-by-step explanation:

6.5x10^8

Answer:

15gm

Step-by-step explanation:

because 5x3 is 15

Answer:

-18 and -27 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The missing values are

<UTQ = 41 degree

x= 1

<UQT = 47 degree

We have a parallelogram QRST.

We know that the opposite sides of the parallelogram is equal and parallel then

QR || ST

QT || SR

Then, <SRT = <RTQ (<UTQ) (alternate Interior Angle)

<UTQ = 41

Similarly, <UQT = <SRQ = 47

Now, RU = UT

2x + 1= 3

2x = 2

x= 1

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Answer:

56cm

Step-by-step explanation:

Ratio = 3 : 5 : 7

Perimeter = 120 cm

Process

# of parts = 3 + 5 +7 = 15

Divide 120 by 15 = 120 / 15

Number of parts  = 8

First side = 3 x 8 = 24 cm

Second side = 5 x 8 = 40 cm

Third side = 7 x 8 = 56 cm

Perimeter = 24 + 40 + 56 = 120 cm

Answer:

B)no

Step-by-step explanation:

the correct solution is (3,12)

SOLUTION

The graph is a function

The domain is all real numbers apart from 0 given by the interval

(-∞,0) ∪ (0,∞)

The Range of the function is all positive numbers given by the interval

(0,∞)

The function is increasing on the interval

(-∞,0)

The function is decreasing on the interval

(0,∞)

The fraction of an hour he spends practicing each song will be 1/8.

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Given data;

Time for the piano lesson = 45 minutes = (3/4)60 minute

Number of songs to be practiced = 6

The fraction of an hour does he spend practicing each song is;

\(\rm \frac{3}{4} \times hour \times \frac {1}{6} \\\\\ \frac {1}{8} \ of \ an \ hour\)

Hence, the fraction of an hour he spends practicing each song will be 1/8.

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Answer:

17x + 37

Step-by-step explanation:

looked it up

The probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

Since there are 8 cameras in the box, the total number of ways to choose 2 cameras from the box is given by the combination formula:

C(8,2) = 8!/(2!×(8-2)!) = 28

So there are 28 possible ways to choose a sample of 2 cameras.

Now, let's calculate the probability of each possible value of x:

When x = 0, both cameras in the sample are non-defective. The number of ways to choose 2 non-defective cameras from the 4 non-defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 0 is:

P(x=0) = (number of ways to choose 2 non-defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

When x = 1, one camera in the sample is defective and the other is non-defective. The number of ways to choose 1 defective camera from the 4 defective cameras in the box and 1 non-defective camera from the 4 non-defective cameras in the box is given by the product of the corresponding combinations:

C(4,1) × C(4,1) = 4×4 = 16

So the probability of x = 1 is:

P(x=1) = (number of ways to choose 1 defective camera and 1 non-defective camera)/(total number of ways to choose 2 cameras)

= 16/28

= 0.571

When x = 2, both cameras in the sample are defective. The number of ways to choose 2 defective cameras from the 4 defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 2 is:

P(x=2) = (number of ways to choose 2 defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

Therefore, the probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

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The slope and y-intercept of the graph of the function y = 8x + 2 are 8 and 2 respectively.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Based on the information provided about the graph of this function, it can be modeled by this linear equation:

y = mx + c

y = 8x + 2

By comparison, we have the following:

mx = 8x

m = 8

Slope, m = 8.

y-intercept, c = 2.

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Answer:

x^2+10x+25

Step-by-step explanation:

x^2+10x+c

to find c

10/2=5

so 5^2= 25

so answer = x^2+10x+25

Answer:

x^2+10x+25

Step-by-step explanation:

Considering the given graph,  we infer that while rolling a dice is random, the median values do exhibit some patterns that can be analyzed and used to make predictions about the expected values.

Looking at the median data from the graph, we can infer that option A is not true, as the median appears to be equally likely to fall between any two numbers from 1 to 6. However, we can also infer that option B is not entirely accurate.

While it is true that rolling a dice is random and each roll is independent, we can observe patterns in the median data.

For example, the median values are more likely to be closer to 3.5, which is the theoretical median value of a fair six-sided dice. This suggests that the more times the dice is rolled, the more likely the median value will approach the expected value.

We can also observe that the spread of the median values tends to decrease as the number of rolls increases, indicating that more rolls lead to more consistent results.

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If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

Given the problem above, we need to find what the z-score is when P(x ≥ .75).

The formula for calculating a z-score is given by:

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

Where:

Now,

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)

\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)

\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)

\(Z=1 - 0.077337\)

\(Z\thickapprox 0.9227\)

Therefore, the z-score of P(x ≥ .75) is 0.9227.

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Answer:

-  x³ - 2x² + 3 - 1 / x

Step-by-step explanation:

(4x³ - 8x² + 12x - 4) / (-4x)

-  x³ - 2x² + 3 - 1 / x

Answer:

A - C(-3, -2), D(1, -2)

Step-by-step explanation:

Their house will be worth approximately $240,154.57 in 8 years.

Non of the options is correct.

To determine how much their house will be worth in 8 years, we can substitute the value of t = 8 into the exponential equation:

y = 150,000(1.004)^(12t)

y = 150,000(1.004)^(12*8)

y = 150,000(1.004)^96

Using a calculator or computer software to evaluate the exponential expression, we find:

y ≈ 150,000 * 1.601030475

y ≈ 240,154.57

None of the provided answer choices match the calculated value. However, we can examine the available options and make an estimation:

A) $240,000: This option is very close to the calculated value of $240,154.57 and is a reasonable estimate.

B) $220,000: This option is significantly lower than the calculated value and is not a close estimate.

C) $1,258,884: This option is significantly higher than the calculated value and is not a close estimate.

D) $14,457,600: This option is extremely higher than the calculated value and is not a realistic estimate.

Based on the provided answer choices, option A) $240,000 is the closest estimate to the calculated value of $240,154.57. However, please note that the actual value may vary depending on the specific calculations and rounding methods used.

Non of the options is correct.

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Answer:

y = 5x - 10

Step-by-step explanation:

We are given the slope but not the y intercept. This means we have to find an alternate way to find the y intercept. We can use point slope form \((y-y1) =m(x-x1)\) and then solve for y to convert the equation into slope intercept form \(y=mx+b\)

\((y-5)=5(x-1)\)

Distribute the 5

\((y-5)=5x-5\)

Add 5 on both sides

\(y=5x-10\)

Answer:

uiiv

Step-by-step explanation:

Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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Answer:

339

Step-by-step explanation:

You just add 383 plus 428. which gives you 811. then you subtract 811 from 1,150. have a great day!

Answer:

6 hundred

Step-by-step explanation:

the value of 6 in 2693 is 6 hundred as :-

TH. H. T. O

2. 6. 9. 3

6 comes under the hundred's value

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Answer:

6 hundred

Step-by-step explanation:

tama po yan im suree lab yow

Answer:

first one y: -3, 0, 3, 6, 12

second one y:5, 2, 0, 2, 5

Step-by-step explanation:

for the first one the equation is y=3x

so when it goes as x:-1, 0, 1, 2, 4

so you should multiply each number by 3 as the equation does

(just replace each number by x in the equation)

so y: -3, 0, 3, 6, 12

next one: equation is y=\(x^{2}\)+1

so do the same as up there: replace x with every number

x:-2, -1, 0, 1, 2

so y will be

y:5, 2, 0, 2, 5

Answer:

65/100 that is the answer to this question