what is x in x + 4 = -x - 4

Answer:

22% of 86

Step-by-step explanation:

22% = 0.22

0.22 × 86

Answer:

\(2x^2+7x-16\)

Step-by-step explanation:

\(x(3x-1)-(x-4)^2\)

Use distributive: \(x(3x-1)=3x^2-x\)

Use square of a binomial formula : \((a-b)^2=a^2-2ab+b^2\)

\((x-4)^2=x^2-8x+16\)

\(3x^2-x-(x^2-8x+16)=3x^2-x-x^2+8x-16=2x^2+7x-16\)

The answer is \(2x^2+7x-16\)

Hope this helps :)

Have a nice day!

Critical values of t, which are used for hypothesis testing and confidence interval calculations, vary depending on the sample size and the degrees of freedom.

b) degrees of freedom.

Degrees of freedom (df) are calculated based on the sample size and represent the number of independent pieces of information available in the data. It is an important parameter in determining the appropriate critical value to use from the t-distribution table. Therefore, before using the t-table, it is essential to calculate the degrees of freedom of the data set in question.

Options a, c, and d are not correct answers as they do not pertain to the calculation needed before using the t-table.

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Complete Question

Since critical values of t vary by sample size, before using the t table we must first calculate:

a) the Z score.

b) degrees of freedom.

c) the population standard deviation.

d) the sample size.

The degrees of freedom will then determine the critical values of t that should be used in calculating confidence intervals or conducting hypothesis tests. Therefore, it is important to consider the sample size when working with t statistics and using the t table.

To answer your question, before using the t-table, you must first calculate the degrees of freedom. The degrees of freedom are important as they determine the critical values of t based on your sample size. Here's a step-by-step explanation:

1. Obtain your sample data.
2. Determine the sample size (n) by counting the number of data points in your sample.
3. Calculate the degrees of freedom (df) by subtracting 1 from the sample size: df = n - 1.
4. Refer to the t-table with the calculated degrees of freedom to find the critical values of t for your desired level of confidence or significance.

By following these steps, you'll be able to find the appropriate critical values of t based on your sample size before using the t-table.

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The term in the expression that represents Lan's typical average speed is:

d - 20.

Let's assume that Lan's typical speed is denoted by s. Then, her speed in the construction zone would be one-third of s, or s/3.

To find Lan's total travel time for the day, we need to add the time it takes for her to travel 20 miles in the construction zone to the time it takes for her to travel the remaining distance at her typical speed. We can represent this as:

Total travel time = time in construction zone + time at typical speed

The time it takes for Lan to travel 20 miles in the construction zone can be calculated using the formula:

time = distance / speed

So, the time in construction zone would be:

time in construction zone = 20 / (s/3) = 60/s

The time it takes for Lan to travel the remaining distance at her typical speed would be:

time at typical speed = (total distance - 20) / s = (d - 20) / s

Substituting these values into the expression for total travel time, we get:

Total travel time = 60/s + (d - 20) / s

To find the term in the expression that represents his typical average speed, we need to look for the variable that is being divided by s. This is the term: d - 20

So, Lan's typical average speed is: s = (d - 20) / time at typical speed.

Thus, the term in the expression that represents Lan's typical average speed is: d - 20.

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Answer:

Free oints

Step-by-step explanation:

Answer:

92.5% , 0.925 , 37/40

Step-by-step explanation:

as it decreased, it means that you subtract 7.5% from the original amount ( the 100% ).

so what remains is 92.5%

The amount to be paid after decreased gas prices will be 92.5% of the original price.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that gas prices decreased by 7.5%. The percent of the original price you will pay for the gas will be calculated as below:-

The original price will have 100% of the amount. The remaining amount will be calculated as:-

Petrol price = 100% - 7.5% = 92.5%

Therefore, the amount to be paid after decreased gas prices will be 92.5% of the original price.

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Answer:

in asurvey of people 80%have crop farming 30%have animal farming and every farmer has at least one farming

The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.

To solve for the predicted number of runs, we can use the following steps:

Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

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Step-by-step explanation:

37.5% = 180people

100% = 180/37.5 x 100 = 480

answer: 480 people

Topic: percentage

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Answer:

The value of x is 16

Step-by-step explanation:

x=16

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let J represent the number of bottles of apple juice sold, and let S represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

\(\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}\)

\(\displaystyle S= \frac{3}{2} \cdot J\)

Therefore;

\(\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{368,500}\)

Which gives;

\(\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } = 368,500\)

\(\displaystyle J = \frac{368,500 \times 4}{19} = \frac{1474000}{19}=77578\frac{18}{19} \approx 77,579\)

The number of bottles of apple juice sold, J ≈ 77,579 bottles

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1.The machine will have no value after 48 months. 2.The graph of the machine's value over time will be a straight line. 3.The slope of the graph represents the rate of depreciation per month. 4.The intercepts of the graph indicate the initial value and zero value. 5.The expression V = -750x + 28,000 represents the value of the machine. 6.The machine has no value when x = 37 according to the expression. 7.The answer obtained using the expression differs from the answer in 8.question 1 due to possible rounding errors or calculation variations.

To determine when the machine has no value, we observe the pattern of depreciation. Based on the given data, the machine depreciates by $3,500 every 6 months. Therefore, it will take 48 months (8 cycles of 6 months) for the machine to have no value.

The table shows a consistent decrease in value over time with equal intervals of 6 months. This indicates a linear relationship between the number of months and the value. A linear relationship is represented by a straight line on a graph.

The slope of the graph can be determined by calculating the change in value divided by the change in time. In this case, the slope is (-750), meaning the value decreases by $750 per month. It represents the rate of depreciation per month.

The intercepts of the graph are obtained by determining the value of the machine at the start (initial value intercept) and when it reaches zero (zero value intercept). The initial value intercept is $28,000, which represents the starting value of the machine. The zero value intercept occurs when the machine has no value.

The expression V = -750x + 28,000 represents the value of the machine. The coefficient of x (-750) represents the rate of depreciation per month, while the constant term (28,000) represents the initial value.

Using the expression, when x = 37, the machine has no value. This differs from the answer in question 1 (48 months). The discrepancy could be due to rounding errors or variations in the method used to calculate the exact point at which the value reaches zero.

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The statement " Greatest common divisor of two or more numbers is the largest number that divides evenly into each of the given numbers" - True

In mathematics, the largest positive integer that divides each of the integers is known as the greatest common divisor of two or more integers that are not all equal to zero. The greatest common divisor of two numbers x and y The greatest common factor (GCF) that divides two or more integers is known as the greatest common divisor (GCD). It is also known as the highest common denominator (HCF).

Thus, the given statement is true.

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Step-by-step explanation:

\(y^{2} = 36 - {x}^{2} \\ {x}^{2} + {y}^{2} = 36 \\ ( x - 0)^{2} + (y - 0)^{2} = {(6)}^{2} \\ \)

The standard equation of a circle is (x - h)² + (y - k)² = r²

where (h,k) is the center and r is the radius.

Therefore, (0,0) is the center and 6 is the radius.

Answer:

1

Step-by-step explanation:

Find the rise over run

Rise = 3

Run = 3

3/3 = 1

Slope = 1

Answer:

1

Step-by-step explanation:

First, you take any two points from the line, I put (2,1) and (0,-1). You plug it into the formula y2-y1/x2-x1 which would be -1-1/0-2 which is equal to -2/-2=1

Hope this helps

The addition inequality 37 + x ≥ 42 can be used to determine how much taller William must be to ride the coaster, where x represents the additional height he needs to meet the height requirement.

To write an addition inequality to determine how much taller William must be to ride the coaster, we first need to convert his height to inches. Since he is 3 feet 1 inch tall, his height is (3 x 12) + 1 = 37 inches.

Let x be the amount of additional height William needs to ride the roller coaster. The inequality can be written as:

37 + x ≥ 42

This inequality ensures that William's total height after adding x must be greater than or equal to the required height of 42 inches to ride the roller coaster.

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Answer:

y-intercept: (0, 1)

x-intercept: (1, 0)

an x-intercept is when a line crosses the x-axis, and a y-intercept is when a line crosses the y axis.

Answer:

640 Miles

Step-by-step explanation:

The first 3 terms of the sequence are 21, 24 and 29

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

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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Step-by-step explanation:

To determine the concentration of the analyte in the unknown using the fit parameters and the linear model, you need to substitute the given signal value into the equation y = mx + b.

In this case, the linear model is represented by the equation y = mx + b, where:

y is the signal value (80.77 in this case),

m is the slope obtained from the regression analysis, and

b is the y-intercept obtained from the regression analysis.

You haven't provided the values of m and b, so I'll use placeholders for now.

Let's assume the slope (m) obtained from the LINEST formula is m = 2.5 and the y-intercept (b) is b = 10.

Substituting these values into the equation:

y = mx + b

80.77 = 2.5x + 10

To find the concentration (x), we can rearrange the equation:

2.5x = 80.77 - 10

2.5x = 70.77

x = 70.77 / 2.5

x ≈ 28.31

Therefore, based on the given fit parameters and the linear model, the concentration of the analyte in the unknown is approximately 28.31 ppm Co2+.

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Answer:

area = 40 \(\pi\) \(m^{2}\)

vol = 32  \(\pi\) \(m^{3}\)

Step-by-step explanation:

area :

cir = 2  \(\pi\)i 2 = 4 \(\pi\)

area =  \(\pi\) 2^2 = 4  \(\pi\)

2(4 \(\pi\)) + 8(4 \(\pi\))

8  \(\pi\) + 324 \(\pi\) = 40  \(\pi\)

vol = 8 * 4 \(\pi\) = 32  \(\pi\)

Therefore, the sum of the first 30 terms of the arithmetic sequence is 2685.

To find the sum of the first 30 terms of an arithmetic sequence, we can use the formula for the sum of an arithmetic series:

Sn = (n/2)(2a + (n-1)d)

Where Sn represents the sum of the first n terms, a is the first term, d is the common difference, and n is the number of terms.

In this case, the first term a is -12, the common difference d is 7, and we want to find the sum of the first 30 terms, so n is 30.

Plugging the values into the formula, we get:

S30 = (30/2)(2(-12) + (30-1)(7))

= 15(-24 + 29(7))

= 15(-24 + 203)

= 15(179)

= 2685

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Dr. Lee questions the reliability of his intelligence test after observing inconsistent results from the first and second administrations to a group of blue-collar workers.

Dr. Lee now questions whether his test is reliable.

Dr. Lee is questioning the reliability of his test after observing wildly different results from the first and second administrations of the intelligence test to a group of 25 blue-collar workers.

The significant discrepancy in scores raises doubts about the consistency and dependability of the test in measuring intelligence accurately.

Reliability refers to the consistency and stability of a measurement instrument over time and across different conditions.

The inconsistent results suggest that the test may not be yielding consistent and reproducible outcomes, leading Dr. Lee to question its reliability in accurately assessing the intelligence of blue-collar workers.

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Answer:

2 2/3 ft long

Step-by-step explanation:

8÷3=2.6666666

or 2 2/3

A regular polygon with an interior angle of 162° has 20 sides. To calculate the number of sides in a regular polygon given the measure of an interior angle.

We can use the formula:

n = 360° / (180° - A)

where n is the number of sides and A is the measure of the interior angle.

For an interior angle of 160°:

n = 360° / (180° - 160°) = 360° / 20° = 18

Therefore, a regular polygon with an interior angle of 160° has 18 sides.

For an interior angle of 162°:

n = 360° / (180° - 162°) = 360° / 18° = 20

Therefore, a regular polygon with an interior angle of 162° has 20 sides.

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Answer:

Q1: No solutions

Q2: x=2, y=-2

Q3: x=1, y=4

Step-by-step explanation:

Q1: Found out 0y = 18 which is impossible therefore no solution.

Q2:

In the first equation: \(2x - 4y = 12\)

Let's express x in terms of y by changing the subject. Follow my steps.

\(2x = 12+4y\)

\(x = \frac{12+4y}{2}\)

Now let's put the x above into the second equation: \(-14x-4y=-20\)

It becomes: \(-14(\frac{12+4y}{2})-4y=-20\). Follow my steps.

\(-7(12+4y)=-20+4y\)

\(-84-28y=-20+4y\)

\(-32y=64\)

\(y=-2\)

Put y = -2 into the first equation:

\(2x-4(-2)=12\)

\(2x+8=12\)

\(2x=12-8\)

\(2x=4\)

\(x=2\)

Q3:

Multiply the first equation by 3 and the second equation by 7, so that both are 21x.

1st equation:
\(3(7x-3y)=3(-5)\)
\(21x-9y=-15\)

2nd equation:

\(7(3x+2y) = 7(11)\)

\(21x+14y = 77\)

We can now substract the 2nd equation with the 1st equation so that both 21x cancels out and only the variable y remains.

\(21x-9y-(21x+14y)=-15-77\)

\(21x-9y-21x-14y=-92\)

\(-23y=-92\)

\(y=4\)

Put y = 4 into the second equation to find x.

\(3x+2(4)=11\)

\(3x+8=11\)

\(3x=11-8\)

\(3x = 3\)

\(x=1\)

To find the interest rate on the investment for 8 years is equal to 0.7%

Given the following data:

To find the interest rate on the investment for 8 years:

Mathematically, compound interest is given by the formula:

\(A = P(1 + r)^{t}\)

Where;

Substituting the given parameters into the formula, we have;

\(6872.74 = 4000(1 + r)^{8}\\\\(1 + r)^{8}=\frac{6872.74}{4000} \\\\(1 + r)^{8}=1.7182\\\\1+r=\sqrt[8]{1.7182} \\\\1+r =1.07\\\\r=1.07-1\\\\r=0.7\)

Interest rate, r = 0.7%

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Statement 1: Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey, statement 2: There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window and statement 3: Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

The given categorical propositions and their forms are as follows:

(1) Some cats like turkey - Form: I:

Subject class: Cats,

Predicate class: Turkey

(2) There are burglars coming in the window - Form: E:

Subject class: Burglars,

Predicate class: Not coming in the window

(3) Everyone will be robbed - Form: A:

Subject class: Everyone,

Predicate class: Being robbed

In the first statement:

Some cats like turkey, the form is I, the subject class is Cats, and the predicate class is Turkey.

In the second statement:

There are burglars coming in the window, the form is E, the subject class is Burglars, and the predicate class is Not coming in the window.

In the third statement:

Everyone will be robbed, the form is A, the subject class is Everyone, and the predicate class is Being robbed.

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