whats the slope of the line y+6=1/3(x-4)

The depth of the water decreases by each minute will be 1 / 5 inches.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a pool is in the shape of a rectangular prism. on Monday water was pumped out of the pool at a constant rate starting at 12:00 pm to 12:15 pm the water in the pool was 45 inches deep. at 12:35 pm the water in the pool was 41 inches deep

From 12:15 to 12:35, 20 minutes passed. 4 inches of water have drained in these 20 minutes.

4 inches in 20 minutes = 4 / 20 =  1/5 inch per minute.

Therefore, the depth of the water decreases by each minute will be 1 / 5 inches.

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The friend lives in a town that is 10° farther north than 40° N. The latitude of that town is 40° +10° = 50° N. When that latitude is reflected across the equator, N changes to S. The new latitude would be c. 50° S.

Answer:

15 phones, option B.

Step-by-step explanation:

A cell phone company orders new phones = 500

The probability of a phone  is being defective = 2.9%

2.9% of 500 phones are = [tex]\frac{2.9}{100}[/tex] × 500

0.029 × 500 = 14.5 rounded to the nearest whole number is 15

The probability of 15 phones are defective out of 500 phones.

The equivalent fraction of 0.7 is 7/9.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

The decimal 0.7¯ (0.7777...) represents a repeating decimal in which the digit 7 repeats infinitely. To convert this to a fraction, we can use the following steps:

Let x = 0.7¯

Multiply both sides by 10 to move the decimal point one place to the right:

10x = 7.7¯

Subtract the left-hand sides of the first and second equations, and the right-hand sides of the first and second equations, to get:

10x - x = 7.7¯ - 0.7¯

Simplify both sides:

9x = 7

Divide both sides by 9:

x = 7/9

Therefore, the equivalent fraction for 0.7¯ is 7/9.

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The third fraction [tex]\frac{10}{80}[/tex] is not equivalent to the other options. The other options,  0.8, 80% and [tex]\frac{24}{30}[/tex] are all equivalent.

In mathematics, a fraction is a composition that represents a part of a whole. Fractions can be written in a few different ways, but the most frequent way is to utilize a numerator and a denominator. The numerator is the number of parts we have, and the denominator is the total number of parts. For illustration, the fraction 1/2 represents one part out of two.

Option 1 is 0.8.

Option 2 is 80% which is in fact equal to [tex]\frac{80}{100}[/tex] .

[tex]\frac{80}{100}[/tex] = [tex]\frac{8}{10}[/tex] = 0.8.

Option 3 is [tex]\frac{24}{30}[/tex] .

[tex]\frac{24}{30}[/tex] = [tex]\frac{8}{10}[/tex] = 0.8.

So, only the third option is not equivalent to the others.

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The chemist can perform approximately 34 experiments with her 5.1 kg supply of calcium, given that she uses 0.15 kg of calcium for each experiment.

The chemist has 5 1/10 kg of calcium and uses 0.15 kg of calcium for each experiment. To determine the number of experiments she can perform with her existing supply, we need to divide the total amount of calcium she has by the amount used in each experiment.

So, 5 1/10 kg = 5.1 kg. Dividing 5.1 kg by 0.15 kg, we get approximately 34. Therefore, she can perform 34 experiments with her current supply of calcium.

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Answer:

[tex]m = \frac{9}{12} = \frac{3}{4} [/tex]

The correct answer is C.

the two consecutive odd integers that have a product of fifteen are 3 and 5.

The question asks for the two consecutive odd integers whose product is fifteen. To solve this, we can use algebraic methods or observe that the square root of 15 is less than 4, and since 15 is an odd number, we look for odd numbers around 4 that multiply to 15.

Let's define the smaller integer as n. Since the integers are consecutive and odd, the next odd integer after n is n+2. The equation to represent their product is n*(n+2) = 15. Solving for n gives us the integers 3 and 5, since 3*5 = 15.

Therefore, the two consecutive odd integers that have a product of fifteen are 3 and 5.

It's (-8,8) and (2,2)

     (-2,1) and (3,-2)

Answer:

(–3, 6) and (6, –9) and  (0, 2) and (5, 5)

Step-by-step explanation:

Given : Slope = [tex]\frac{-3}{5}[/tex].

To find: Which ordered pairs could be points on a line that is perpendicular to this line.

Solution : We have given that  Slope = [tex]\frac{-3}{5}[/tex].

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}- x_{1}}[/tex].

For (–8, 8) and (2, 2)

Slope = [tex]\frac{2- 8 }{2 + 8}[/tex].

Slope = [tex]\frac{-6 }{10}[/tex].

Slope = [tex]\frac{-3 }{5}[/tex].

For (–5, –1) and (0, 2).

Slope = [tex]\frac{2+1 }{0 + 5}[/tex].

Slope = [tex]\frac{3 }{5}[/tex].

For, (–3, 6) and (6, –9)

Slope = [tex]\frac{-9- 6}{6 + 3}[/tex].

Slope = [tex]\frac{-15 }{9}[/tex].

Slope = [tex]\frac{-5}{3}[/tex].

For (–2, 1) and (3, –2)

Slope = [tex]\frac{-2 -1 }{3 +2}[/tex].

Slope  = [tex]\frac{-3 }{5}[/tex].

For (0, 2) and (5, 5)

Slope = [tex]\frac{5 -2 }{5 -0}[/tex].

Slope =  [tex]\frac{3 }{5}[/tex].

Therefore,  (–3, 6) and (6, –9) and  (0, 2) and (5, 5)

Answer:

It's 69.08

Step-by-step explanation:

To determine who is correct, analyze the graph and compare it to the hypotheses of Ernest and Emma.

Both Ernest and Emma have different hypotheses about Ryan's rest during the trail. Ernest thinks Ryan rested between 120 and 150 miles, while Emma believes he walked a flat part of the trail during that time. To determine who is correct, we need to analyze the graph to see if it matches either hypothesis.

If the graph shows a flat line between 120 and 150 miles, then Emma would be correct. However, if the graph shows a change in elevation during that distance, then Ernest's hypothesis would be correct. To identify the correct hypothesis, visually analyze the graph and compare it to the hypotheses put forth by Ernest and Emma.

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To find the total number of rabbits for sale in the pet store, set the total number of rabbits as 'x' and solve the equation 0.30x = 3 to get x = 10. Therefore, there are 10 rabbits for sale.

The question involves Flee, Fin, and Fliffers, three rabbits that constitute 30% of the total number of rabbits for sale in a pet store. To find out the total number of rabbits, let's designate the total number of rabbits as 'x'. Since the three rabbits are 30% of the total, we can write the equation

0.30x = 3

(because Flee, Fin, and Fliffers are three rabbits).

Solving for 'x', we divide both sides of the equation by 0.30 to get

x = 3 / 0.30.

Therefore, x = 10, which means there are a total of 10 rabbits for sale in the pet store.

Let's represent the total number of rabbits for sale as x. Since Flee, Fin, and Fliffers represent 30% of the total, their combined number is 0.30x. We can set up an equation: 0.30x=number of rabbits represented by Flee, Fin, and Fliffers. Solving for x, we divide both sides by 0.30x=number of rabbits represented by Flee, Fin, and Fliffers/0.30x​. This implies that the total number of rabbits is 3.33 times the number represented by Flee, Fin, and Fliffers. So, if we know the number of rabbits represented by Flee, Fin, and Fliffers, we can multiply it by 3.33 to find the total number of rabbits for sale.

Complete answer;

Flee, Fin, and Fliffers are 3 rabbits for sale in a pet store. Combined they represent 30% of the total number of rabbits for sale. What is the total number of rabbits for sale?

Answer is Exponential Decay.

Exponential Growth and Decay:

Exponential decay is a process that decreases quantity over time.

Exponential growth is a process that increases quantity over time.

(Given),

[tex]A = 21000(1-0.12)^{t}[/tex]

Let's take,

[tex]B = (1 - 0.12)^{t}[/tex]

As the t increases the B value decreases exponentially. So, the  A = 21000*B also decreases exponentially as t increases.

And the rate of change per time period is (0.12 x 100)% = 12%.

So, It is exponential decay.

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Answer:

A) The experimental probability is 2% lower than the theoretical probability.

Step-by-step explanation:

Answer:

The answer would be A.

Step-by-step explanation: