What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y - 4 = -(x − 6) and passes through the point (-2, −2)?
0 y=-x-¹0
10
10
0₁ y=-3x+¹30°
O y = -x-1
|0y=x+1

Answer:

7)  Domain:  (-∞, ∞)

    Range:  [-1, ∞)

8)  Domain:  (-∞, ∞)

    Range:  (-∞, ∞)

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

From inspection of the graph, the minimum y-value is y = -1.  

The end behavior of the relation is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the range of the relation is restricted:  [-1, ∞)

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

The end behavior of the function is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

Answer:

i hope this helpes

Step-by-step explanation:

a) A group of 16 pays $40 + ($2 x (16 - 10)) = $40 + $6 = $46.

b) The cost function can be represented as C(x) = 40 + 2(x - 10) for x > 10 and C(x) = 40 for x <= 10, where x is the number of people in the group and C(x) is the cost for the group.

c) The domain of the cost function is all non-negative real numbers less than or equal to 50 (0 <= x <= 50), since the maximum group size is 50. The range of the cost function is all non-negative real numbers greater than or equal to 40 (C(x) >= 40), since the minimum charge for a group is $40.

Answer:

a) $52

b) C(x) = 40 + 2x, if x > 10 and x ≤ 50

C(x) = 40, if x ≤ 10

c) Domain = {x ≥ 1 and x ≤ 50}

Range = { from 40 to 140}

Answer:

neither

Step-by-step explanation:

Answer:

its the third option i think

Step-by-step explanation:

Answer:

99th term is 51

Step-by-step explanation:

Arithmetic sequence equation

a1= first term = 2

d= common difference = 0.5 or 1/2

2, 5/2 = 5/2 - 2 = 0.5 or 1/2

3 - 5/2 = 1/2

7/2 - 3 = 1/2

an = a1 + (n - 1)d

a99 = 2 + (99-1) 1/2

a99= 2 + 98 (1/2)

a99 = 2 + 49

a99 = 51

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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straightforward way is to write an equation x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 372 and to solve it. That unique solution "x" will be your answer. The more reasonable way is to divide 372 by 6, = 62. Then the three consecutive odd numbers in the DESCENDING order from 62 are 61, 59, 57, giving you the answer 57.

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

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Expression: \(\displaystyle\sf (6-2x) +(15-3x)\)

Substituting \(\displaystyle\sf x=0.2\):

\(\displaystyle\sf (6-2(0.2)) +(15-3(0.2))\)

Simplifying the expression inside the parentheses:

\(\displaystyle\sf (6-0.4) +(15-0.6)\)

\(\displaystyle\sf 5.6 +14.4\)

Calculating the sum:

\(\displaystyle\sf 20\)

Therefore, \(\displaystyle\sf (6-2x) +(15-3x)\) evaluated at \(\displaystyle\sf x=0.2\) is equal to \(\displaystyle\sf 20\).

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

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The calculated output value for an input value of 5 is (c) 10

From the question, we have the following parameters that can be used in our computation:

Kerrin is making an input-output table for the rule "add 5."

This means that

Output = input + 5

In this case, we have

input = 5

substitute the known values in the above equation, so, we have the following representation

Output = 5 + 5

Evaluate

Output =10

Hence, the output is 10

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Answer:

  (a)  $479.50

Step-by-step explanation:

You want to know how much the friend with the smaller bedroom will pay for rent if they split the $975 cost based on the square footage of each bedroom. The two bedrooms in the 1225 square foot property are 130 and 150 square feet.

Apparently, the cost of the non-bedroom area is to be split evenly. That common area is ...

  1225 ft² -(150 +130) ft² = 945 ft²

Then the proportion due from the occupant of the smaller bedroom is ...

  (945/2 +130)/1225 = 241/490 ≈ 0.49184

That fraction of the rent is ...

  0.49184 · $975 = $479.54

The nearest answer choice is $479.50.

__

Additional comment

If we were to assume the split is based only on bedroom size, then the rent paid for the 130 ft² space would be (13/28)($975) ≈ $452.68. This would be equivalent to splitting the rent for the common area in the same proportion as for the bedrooms.

We note that half the rent is $487.50, a number less than either of the last two answer choices. Those can be rejected for that reason. (The smaller bedroom is expected to pay less than half of the rent.)

Answer:

0.0107 = 1.07% the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 450, \sigma = 60\)

Find the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.

This is the pvalue of Z when X = 312. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{312 - 450}{60}\)

\(Z = -2.3\)

\(Z = -2.3\) has a pvalue of 0.0107

0.0107 = 1.07% the probability that a randomly selected boy in secondary school can run the mile in less than 312 seconds.

Given data:

The given expression is x-12=35.

The given value of x=47.

Substitute 47 for x in the given expression.

47-12=35

35=35

Thus, yes the given value of the variable is the solution of the expression.

The terms in the numerator and simplify the fraction, giving us: -2x² - 1/(2x + 1)

A numerator is the part of a fraction that is above the line and indicates how many parts of a whole are being considered. It is the number that is being divided.

The first step in solving this problem is to factor out the numerator. Using the distributive property, we can rewrite the numerator as:

(-3x² + 6x³ - 4 - x) = (-3x² + 6x³ - 4) - x

Now, we can factor out -3x² from the first two terms, giving us:

(-3x² + 6x³ - 4) - x = -3x²(1 + 2x - 4/3x²) - x

We can now divide the numerator and denominator by the common factor of -3x², giving us:

(-1 - 2x + 4/3x²) - (x/(-3x²)) ÷ (2x + 1)

By dividing the numerator and denominator by -3x², we can now cancel out the -3x² terms, leaving us with:

(-1 - 2x + 4/3x²) - (1/3) ÷ (2x + 1)

The next step is to simplify the fraction. To do this, we must multiply the numerator and denominator by the reciprocal of the denominator. In this case, the reciprocal is -1/(2x + 1) giving us:

[(-1 - 2x + 4/3x²) - (1/3)] × (-1/(2x + 1))

Simplifying the numerator yields:

(2x + 1 - 4/3x² + 1/3) × (-1/(2x + 1))

Finally, we can combine the terms in the numerator and simplify the fraction, giving us: -2x² - 1/(2x + 1).

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Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

This is an example of a survey or sampling technique called systematic sampling. The students are selecting every 10th student from the population (in this case, the population is the entire student body) to survey.

This technique can be useful when the population is too large to survey everyone or when a random sample is difficult to obtain. By using systematic sampling, the students can obtain a representative sample of the student body without having to survey every single student.

However, it's important to note that systematic sampling can introduce bias if there is a pattern or structure in the population that is related to the sampling interval. For example, if every 10th student is in a particular grade level or section of the school, this could skew the results of the survey. To mitigate this potential bias, researchers should ensure that the sampling interval is random and that they are not selecting every nth person based on any identifiable characteristics.

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How many pages did Ben read?

Ben read 18 pages

How many fewer pages did Amy compose than Ben?

18 - 12 = 6

How many pages did Amy and Ben read in all?

18 + 12 = 30

Answer:

\(23 - z\)

Step-by-step explanation:

Given

\(Length =23cm\)

\(One\ Piece = z\)

Required

Derive an expression for the second piece

Represent the second piece with x,

So, we have:

\(x + z = 23cm\)

\(x + z = 23\)

Subtract z from both sides

\(x + z - z = 23 -z\)

\(x = 23 -z\)

Hence:

An expression for the second piece is \(23 - z\)

Answer:

27 and 28

Step-by-step explanation:

x+x+1=55

2x+1=55

2x=55-1

2x=54

divide each side by 2

x=27

x+1=28

check your answer adding the two integers

27+28=55

Answer:

Answer is A

Step-by-step explanation:

Took on Edge 2020

The student should have added 3 + 4 to get the total number of sections, and used the fraction three-sevenths instead of three-fourths.

Given the segment partitioned in a ratio of 3:4, the total ratio is expressed as:

If point C is on the line segment AB, hence the point C on the line will be expressed as:

\(C = \frac{3}{3+4} \cdot (2-(-6)+(-6))\\C= \frac{3}{7} \cdot (2+6-6)\\C= \frac{3}{7} \cdot (8-6)\\C=\frac{3}{7} \=(2)\\C=\frac{6}{7}\)

Based on the calculation, we can conclude that the student's answer is incorrect. The student should have added 3 + 4 to get the total number of sections and used the fraction three-sevenths instead of three-fourths

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Answer:

the first one is  x=20. the second one is x=31.33 cm.

Step-by-step explanation:

1. x=20

2. x=31.33 cm

Hope this helps!!! :)

Then it will take approximately 6.3 hours for the culture to grow to 80,000 bacteria

The given formula for the number of bacteria in a culture after t hours is:y = 5000(3)^tWe are required to find the number of hours it will take the culture to grow to 80,000.

This can be done by setting y equal to 80,000 and then solving for t.5000(3)^t = 80,000

Divide both sides by 5000:3^t = 16Now, we need to solve for t by taking the logarithm of both sides.

However, it is easier to use logarithmic properties to simplify the equation first.3^t = 2^4

Raise both sides to the power of (1/log3):log3(3^t) = log3(2^4)t = 4/log3(2)Using a calculator, log3(2) ≈ 0.631, so:t ≈ 4/0.631 ≈ 6.3.

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Answer:

57.3

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}\)

\(\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}\)

\(\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}\)

\(\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}\)

\(\mathsf{=\dfrac{32\times43}{3\times 8}}\)

\(\mathsf{= \dfrac{172}{3}}\)

\(\mathsf{= 57\dfrac{1}{3}}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

0 because if all the mice ran away then they would be gone

Answer:

7,722

Step-by-step explanation:

You would need to multiply the 4 numbers above together to get the final number.  That is basically it.

I would recommend you to write on a paper for smaller numbers and writing each combination for the choices.

Answer:

D. is correct.

\(2 * 1 = 2\)

\(4 * 1=4\)

\(4 + 2 = 6\)

________________________________________________________

The product of answer choice D.(6) is not equal to the product of \(\frac{2}{3}\) × 4, because \(\frac{2}{3}\) × 4 is actually \(2\frac{2}{3}\)

________________________________________________________

We learned how to find whole numbers through an expression with fractions.

Questions related to the topic? Ask me in the comments box.

Answer:

The ratio of apple trees to cherry trees is 14a to 1c

Step-by-step explanation: