5.52, –4.52
is the correct answer,never forget negatives!
Describe the relationship between the similarity ratio of two triangles and the ratio of their areas.
If 2m = 4x and 2w = 8x, what is m in terms of w?
The circumference of a circle is 6.28. What is the area of the circle.
Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (6, 6, 3) and use it to approximate the number 6.022 + 5.972 + 2.992 .
Which is the graph of 2x – 4y > 6?
Answer:
Its the last graph
The graph of 2x – 4y > 6 is in the far-right graphic image.
Further explanationLet us first arrange the equation of the line followed by making a graph of a linear inequality.
Step-1: the x-intercept and the y-intercept
2x - 4y = 6
For y = 0, we get the x-intercept.2x - 4(0) = 6
2x = 6, and then divide by two on both sides.
Hence, the x-intercept is [tex]\boxed{x = 3} \rightarrow \boxed{ \ (3, 0) \ }[/tex]
For x = 0, we get the y-intercept.2(0) - 4y = 6
-4y = 6, and then divide by -4 on both sides.
Hence, the y-intercept is [tex]\boxed{y = -1\frac{1}{2}} \rightarrow \boxed{ \ (0, -1\frac{1}{2}) \ }[/tex]
Step-2: graph the inequality
2x - 4y = 6 is the boundary line and we draw the line dashed since the equality symbol is " > ".Test the point (0, 0), as origin, in 2x - 4y > 6, i.e., [tex]\boxed{2(0) - 4(0) > 6} \rightarrow \boxed{ \ 0 > 6, false \ }[/tex]So we shade the region which does not contain the test point.- - - - - - - - - -Notes:
To graph a linear equality in two variables, follow the steps.
Draw the boundary line using a dashed line if the inequality symbol is " < or > ", or a solid line if the inequality symbol is " ≤ or ≥ ".Choose a test point which is not on the boundary line and substitute it into the equality.Shade the region which includes the test point if the resulting inequality is true, and shades the region which does not contain the test point if the resulting inequality is false.Learn moreFinding the equation, in slope-intercept form, of the line that is parallel to the given line and passes through a point brainly.com/question/1473992Which of the following is the correct graph of the solution to the inequality −8 greater than or equal to −5x + 2 > −38? https://brainly.com/question/1626676 When the x-axis and y-axis have different units of measure the slope can be interpreted as a rate https://brainly.com/question/4858319Keywords: linear inequality, the equation of the line, shaded region, x-intercept, test the point, the line dashed
Say a certain manufacturing industry has 63.1 thousand jobs in 2008, but is expected to decline at an average annual rate of 1.7 thousand jobs per year from 2008 to 2018. Assuming this holds true, what will be this industry’s percent change from 2008 to 2018? a. 70% b. -27% c. -17% d. -75%
Using linear function concepts, it is found that the industry’s percent change from 2008 to 2018 will be of:
b. -27%
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem:
The industry had 63.1 thousand jobs in 2008, hence b = 63.1.This number is expected to decline at an average annual rate of 1.7 thousand jobs per year from 2008 to 2018, hence m = -1.7.Thus, the function is:
y = -1.7x + 63.1.
In 2018, which is 10 years after 2008, the value of the function is:
y(10) = -1.7(10) + 63.1 = 46.1.
The percent change is given by the change divided by the initial value, hence:
(46.1 - 63.1)/63.1 = -27%
Hence option b is correct.
More can be learned about linear function concepts at https://brainly.com/question/24808124
The correct answer is b. -27%.
To solve this problem, we need to find the number of jobs in 2018 and then calculate the percent change from 2008 to 2018.
Given information:
- Number of jobs in 2008: 63.1 thousand
- Average annual rate of decline: 1.7 thousand jobs per year
- Time period: 2008 to 2018 (10 years)
Step 1: Find the total decline in jobs from 2008 to 2018.
Total decline in jobs = Average annual rate of decline × Number of years
Total decline in jobs = 1.7 thousand × 10 years = 17 thousand jobs
Step 2: Find the number of jobs in 2018.
Number of jobs in 2018 = Number of jobs in 2008 - Total decline in jobs
Number of jobs in 2018 = 63.1 thousand - 17 thousand = 46.1 thousand jobs
Step 3: Calculate the percent change from 2008 to 2018.
Percent change = (Change in value / Original value) × 100%
Percent change = ((46.1 - 63.1) / 63.1) × 100%
Percent change = (-17 / 63.1) × 100%
Percent change ≈ -27%
Therefore, the industry's percent change from 2008 to 2018 is approximately -27%.
Number of jobs in 2018 = [tex]46.1\text{ thousand} \\[/tex]
Percent change from 2008 to 2018 = [tex]-27\%[/tex]
What is the future value of $845 a year for seven years at an interest rate of 11.3 percent? $6,683.95 $6,075.69 $8,343.51 $8,001.38 $8,801.91?
In a certain company, 74 employees were hired in the last 5 years. If
this represents 43% of the current number of employees, then how
many current employees does the company have?
- list the steps please & thank you!
To find the total number of employees in the company, set up and solve the equation, 0.43 * X = 74. Solving this provides approximately 172 employees
Explanation:In order to answer this question, we need to use the concept of percentages. Here are the steps:
Since we know 74 employees represent 43% of all employees, we set up the equation: 0.43 * X = 74, where X is the total number of employees in the company. Solving the equation for X leads us to the answer. We divide both sides of the equation by 0.43, which gives us X = 74/0.43. Calculating the right side of the equation, we find X is approximately 172, so there are approximately 172 employees in the company. Learn more about Percentages here:https://brainly.com/question/29306119
#SPJ12
Find the value of x
A 41
B 44
C 46
D 36
The radius of the circle whose equation is (x + 4)² + (y - 2)² = 36 is 36 18 6
PLEASE HELP !!! HURRY!! Given m || n, find x.
4x+35 + 5x-8 = 180
9x +27 =180
9x =153
x=153/9 = 17
x = 17
Claire has received scores of 85,88,87,and 85 on her algebra tests. What is the minimum score she must receive on the fifth test to have an overall test score average of at least 88?
88*5 = 440
so all 5 tests need to equal at least 440
85 +88 +87 +85 = 345
440-345 = 95
she needs at least a 95 to have an 88 average
95 is the minimum score she must receive on the fifth test to have an overall test score average of at least 88.
88*5 = 440
All 5 tests need to equal at least 440.
85 +88 +87 +85 = 345
440-345 = 95.
What is average in maths?In Maths, an average of a list of records is the expression of the primary price of a set of statistics. Mathematically, it's far described as the ratio of summation of all the facts to the range of units present inside the listing. In phrases of records, the common of a given set of numerical records is also called the mean.
Learn more about average here: https://brainly.com/question/6504879
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Solve the equation. 5x + 6 = 2(2x – 3)
The solution to the equation 5x + 6 = 2(2x – 3) is x = -12
The given equation is:
5x + 6 = 2(2x - 3)
Expand the right hand side of the equation using distributive rule
5x + 6 = 4x - 6
Collect like terms
5x - 4x = -6 - 6
Simplify the equation above
x = -12
Therefore, the solution to the equation 5x + 6 = 2(2x – 3) is x = -12
Learn more here: https://brainly.com/question/4396988
How do you convert numbers to percents
9 x 3? Help me please lol I don't have a clue.
9 x 3 =
9 + 9 +9
9+9 = 18, 18+9 = 27
so 9x3 = 27
Suppose that an individual has a body fat percentage of 17.9% and weighs 132 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.
Find the number of permutations of 8 things taken 5 at a time. 40,320 6,720 336
The number of permutations of 8 things taken 5 at a time is calculated using the formula P(n, k) = n! / (n-k)!, resulting in 6,720 possible permutations.
Explanation:To find the number of permutations of 8 things taken 5 at a time, we use the formula for permutations, which is:
P(n, k) = n! / (n-k)! where n is the total number of items, and k is the number of items to be chosen.
In this case, n=8 and k=5. Using the formula, we get:
P(8, 5) = 8! / (8-5)! = 8! / 3! = (8 × 7 × 6 × 5 × 4) / (3 × 2 × 1) = 6720.
So, the number of permutations of 8 things taken 5 at a time is 6,720.
One weekend, a newsstand sold twice as many Sunday papers as Friday papers. The Sunday paper costs $1.50, and the Friday paper costs $0.75. How many Sunday papers were sold if the newsstand took in $116.25?
Answer:
62
Step-by-step explanation:
What is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11
Answer:
1. The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is 0.284.
2. The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is 0.531.
Step-by-step explanation:
Let the number of person who is older than 35 years has a hemoglobin level between 9 and 11 be x.
From the given table it is clear that the total number of person who is older than 35 years is 162.
[tex]76+x+40=162[/tex]
[tex]x+116=162[/tex]
[tex]x=162-116[/tex]
[tex]x=46[/tex]
The number of person who is older than 35 years has a hemoglobin level between 9 and 11 is 46.
1.
The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is
[tex]P=\frac{\text{Person who is older than 35 years has a hemoglobin level between 9 and 11}}{\text{Person who is older than 35 years}}[/tex]
[tex]P=\frac{46}{162}\approx 0.284[/tex]
The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is 0.284.
2.
Person who is older than 35 years has a hemoglobin level of 9 and above is
[tex]46+40=86[/tex]
The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is
[tex]P=\frac{\text{Person who is older than 35 years has a hemoglobin level of 9 and above}}{\text{Person who is older than 35 years}}[/tex]
[tex]P=\frac{86}{162}\approx 0.531[/tex]
The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is 0.531.
Answer:
.531
Step-by-step explanation:
Plato
Here are the scores of 17 students on a history test. 62, 65, 66, 67, 67, 76, 77, 78, 79, 80, 86, 88, 88, 89, 90, 91, 92 Notice that the scores are ordered from least to greatest. Make a box-and-whisker plot for the data.
Coffee with sugar and milk added to it can contain up to calories. To consume a maximum of 600 mg if caffeine per day, how many full eight-ounce servings of a name-brand coffee with 330 mg of caffeine per 16-ounce serving could someone drink in a day and still stay below this limit? full 8-ounce servings
Answer:
A) 500
B) 3
Right on edge
Step-by-step explanation:
D=6.3cm what is the circumference and area of the circle
A sofa is on sale for 26% off. The sale price is $629 . What is the regular price?
help find the answer to this question
Suppose a tax is added to each flight. dollars is added to every flight, no matter how long it is. the table shows the new data. what happens to the correlation coefficient when a constant is added to each number?
Salun is assembling floor lamps. After 3 hours, there are 75 lamps available for shipment. After 5 hours, there are 97 lamps available for shipment. How many lamps are available at the end of an 8-hour shift?
Answer:
130 lamps are available at the end of an 8-hour shift
Step-by-step explanation:
Salun is assembling floor lamps. After 3 hours, there are 75 lamps available for shipment. After 5 hours, there are 97 lamps available for shipment
LEt x be the number of hours and y be the lamps available
(3,75) (5,97)
Make the equation y=mx+b
m is the slope and b is the y intercept
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{97-75}{5-3} =\frac{22}{2} =11[/tex]
y=11x+b
Now solve for b using (3,75)
75 = 11(3) +b
75 = 33 + b
Subtract 33 from both sides
42= b
So equation becomes y= 11x + 42
To find available lamps at the end of 8 hours, plug in 8 for x
y= 11(8) + 42= 130
HELP!! PLEASE A carpenter is framing a window with wood trim where the length of the window is 9 and 1/3 feet. If the width of the window is 6 and 3/ 4 feet, how many feet of the wood is needed to frame the window? Write your answer as a proper or improper fraction
What is the solution to the equation 0.8m − 4 = −0.8m?
simplify the expression by using a double angle formula
cos^2 4theta-sin^2 4theta
Each of a certain type of tire on a 4 wheel car lasts exactly 10,000 miles. How many spare tires of this same variety must carried so that a trip of 15,000 miles can just be completed.