Solve the system of linear equations. separate the x- and y- values with a coma.
7x-7y=7
14x-4y=74
60 minutes is 20% of blank kilometers
A. crystal lund has been your trusted employee for 25 years. she performs all cash-handling and accounting duties. crystal just purchased a new lexus and a new home in an expensive suburb. as owner of the company, you wonder how she can afford these luxuries because you pay her only $42,000 a year and she has no sources of outside income
Factor −1/3
out of −1/3x−8
Answer:
The factor form is [tex]-\frac{1}{3}x-8=-\frac{1}{3}(x+24)[/tex]
Step-by-step explanation:
To find : Factor [tex]-\frac{1}{3}[/tex] out of [tex]-\frac{1}{3}x-8[/tex]
Solution :
Taking the term common means we the number multiply inside give you the same result.
Taking [tex]-\frac{1}{3}[/tex] out of [tex]-\frac{1}{3}x[/tex] is left with
[tex]\frac{-\frac{1}{3}x}{-\frac{1}{3}}=x[/tex]
Taking [tex]-\frac{1}{3}[/tex] out of [tex]8[/tex] is left with
[tex]\frac{8}{-\frac{1}{3}}=-8\times 3=-24[/tex]
So, [tex]-\frac{1}{3}x-8=-\frac{1}{3}(x-(-24))[/tex]
[tex]-\frac{1}{3}x-8=-\frac{1}{3}(x+24)[/tex]
The factor form is [tex]-\frac{1}{3}x-8=-\frac{1}{3}(x+24)[/tex]
(9-13)-(56-65) =5
Replace the question mark to create a TRUE STATEMENT.
Nadine is constructing a line perpendicular to KE←→ . She has constructed the arcs as shown. What is the next step in her construction?
Use a straight edge to draw a line through D and M.
Use a straight edge to draw a line through M and K.
Use a straight edge to draw a line through M and E.
The image shows a horizontal line with points K, D, and E from left to right. Point D looks halfway between points K and E. An arc is shown at point K turning inwards towards point D. An arc is shown at point E turning inwards towards point D. Above point D is point M. Two arcs go through point M. One arc faces southwest towards point K and one points southeast towards point E. A line m and an arc. An arc is drawn on line m through center P. Center P lies above the line m. The arc cuts the line on two points labeled as X and Y. Two rays share a common endpoint at R. One ray is horizontal, pointing to the left. The second ray is vertical in an upward direction. A horizontal line segment M N with endpoints labeled as M and N. A horizontal line j and a point A are drawn. The point A is below the horizontal line j.
Express each rate as a unit rate.
8 tomatoes for $2
b. Yesterday, Gina again mixed red and white paint and made the same amount of paint, but she used one more pint of red paint than she used last week. Predict how the new paint color will compare to the paint she mixed last week
What is the scale factor of Triangle ABC to Triangle DEF?
Answer:
1
Step-by-step explanation:
The level of calcium in the blood of healthy young adults follows a normal distribution with mean $\mu=10$ milligrams per deciliter and standard deviation $\sigma=0.4$. a clinic measures the blood calcium of 25 healthy pregnant young women at their first visit for prenatal care. the mean of these 25 measurements is $\bar{x}=9.6$ we want to test the hypotheses $h_0$: $\mu=10$ vs. $h_a$: $\mu<10$ what does it mean if the p-value is 0.0002.
The p-value of 0.0002 indicates strong evidence against the null hypothesis and suggests that the mean blood calcium level in pregnant young women is less than 10 milligrams per deciliter.
The p-value of 0.0002 indicates the probability of obtaining a sample mean as extreme as 9.6, assuming the null hypothesis (μ = 10) is true.
A p-value of 0.0002 is less than the commonly used significance level of 0.05, which suggests strong evidence against the null hypothesis.
Therefore, we reject the null hypothesis in favor of the alternative hypothesis (μ < 10).
This means that there is sufficient evidence to suggest that the mean blood calcium level in pregnant young women is less than 10 milligrams per deciliter.
The probable question may be:
The level of calcium in the blood of healthy young adults follows a normal distribution with a mean (\(\mu\)) of 10 milligrams per deciliter and a standard deviation (\(\sigma\)) of 0.4. A clinic measures the blood calcium of 25 healthy pregnant young women at their first prenatal care visit, resulting in a sample mean (\(\bar{x}\)) of 9.6.
Now, we want to test the hypotheses \(H_0: \mu = 10\) versus \(H_a: \mu < 10\). If the computed p-value is 0.0002, what does this indicate in the context of hypothesis testing?
Let f(x)=2x^2+7x-5 and g(x)=-8^2-3x+5. What is g(x)+f(x)?
Using addition of two polynomials, f(x) + g(x) = 2x² +4x - 64
What is polynomials?Polynomials are "algebraic expressions that may comprise of exponents which are added, subtracted and multiplied".
According to the question,
f(x) = 2x² + 7x - 5
g(x) = -8² - 3x + 5
f(x) + g(x) = 2x² +4x - 64.
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A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise at night. Tara claims that 35:55, 45:80, and 20:65 are possible ratios from this data. Jim claims that 35:100, 45:100, and 20:100 are possible ratios from this data. Who is correct? Explain.
Jim is correct as he has shown the ratio of people exercising at various times to total people in survey , correctly.
It is given that total 100 people participated in a survey and data of people doing exercises in morning , evening and at night is given.
We have to find out who is correct , if Tara and Jim has shown the possible ratios.
What do you mean by ratio ?
A ratio is defined as the relative sizes of two or more values i.e., 12 : 24 or 13 : 26 , etc.
As per the question ;
Total no. of people in survey = 100
People exercising in morning = 35
People exercising in afternoon = 45
People exercising at night = 20
and
Possible ratio claimed ;
According to Tara is ;
35:55, 45:80, and 20:65
and
According to Jim is ;
35:100, 45:100, and 20:100
Let's check who has got it correct ;
So ;
Ratio of people exercising in morning to total people in survey will be ;
= 35 : 100
and
Ratio of people exercising in afternoon to total people in survey will be ;
= 45 : 100
Ratio of people exercising at night to total people in survey will be ;
= 20 : 100
So ;
We found that Jim has shown the correct possible ratio.
Thus , Jim is correct as he has shown the ratio of people exercising at various times to total people in survey , correctly.
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What does h(40) = 1400 mean in terms of the problem
Answer:
The correct option is B.
Step-by-step explanation:
From the given table it is clear that left column represents the hours of training and the right column represents the Monthly pay.
Here, left column is input (x) and right column is output (y). It means a worker with x hours of training is paid $y per month.
[tex]h(40)=1400[/tex]
In this equation the value of y is 1400 at x=40.
A worker with 40 hours of training is paid $1400 per month.
Therefore, correct option is B.
Which is a valid proportion?
A. 3/4=21/28
B. 5/6=29/30
C.4/7=16/49
D.2/5=12/15
What is the length y of the remaining, vertical side of the 30-60 right triangle?
The length of side y in the right triangle, with a hypotenuse of 14 cm and legs measuring 7 cm and y cm is determined to be 16.16 cm.
The triangle has a hypotenuse of 14 cm, and the other two sides are 7 cm and y cm.
Setting up the Equation for sin 60°:
In the given figure, sin 60° is defined as the ratio of the side opposite the angle to the hypotenuse.
The equation is set up as sin 60° = y / 14.
Substituting the Value of sin 60°:
The sine of 60 degrees is known to be √3/2.
Substitute sin 60° with √3/2 in the equation: √3/2 = y / 14.
Isolating y in the Equation:
Multiply both sides of the equation by 14 to isolate y: √3y = 28.
Solving for y:
Divide both sides of the equation by √3 to solve for y: y = 28/√3.
Rationalizing the Denominator:
Multiply the numerator and denominator of y by √3 to rationalize the denominator: y = (28√3)/3.
Simplifying the Expression for y:
The final step simplifies the expression by dividing both numerator and denominator by 3: y = 16.16 cm.
Therefore, the length of side y in the given right triangle is 16.16 cm.
A hypotenuse of 14 cm and legs of 7 cm and y cm, the length of side y in a right triangle is calculated to be 16.16 cm.
The triangle's two other sides are 7 cm and y cm, and its hypotenuse measures 14 cm.
Configuring the Equation for 60° Sin:
As seen in the illustration, sin 60° is the side opposite the angle divided by the hypotenuse.
The formula is written as follows: sin 60° = y / 14.
Replacing the Value of Sin 60° with:
It is known that the sine of sixty degrees is √3/2.
Replace √3/2 with sin 60° in the equation: y / 14 = √3/2.
Calculating y in the Equation: To isolate y, multiply both sides by 14: √3y = 28.
Finding y':
To find y, divide both sides of the equation by √3. y = 28/√3.
Making Sense of the Denominator
To rationalize the denominator, multiply both the numerator and denominator of y by √3. y = (28−3)/3.
The Expression for y Simplified:
In the last stage, the formula is made simpler by dividing the denominator and numerator by three: y is equal to 16.16 cm.
As a result, side y in the supplied right triangle has a length of 16.16 cm.
Using only the values given in the table for the function, f(x) = x3 – 3x – 2, what is the interval of x-values over which the function is decreasing? (–4, 1) (–4, –1) (–1,1) (–1, 2)
Using only the values given in the table for the function , f(x) = x3-3x-2 , what is the interval of x-values over which the function is decreased. Advertisement ... 3 = 3(x² - 1) We know, any Function f(x) decrease s in interval [a, b] when f'(x) < 0 ... -1 < x < 1. Hence, function f(x) = x³ - 3x - 2 , is decreased in (-1, 1).
The interval of x-values over which the given function is decreasing is (-1,1) and this can be determined by differentiating the given function.
Given :
[tex]\rm f(x) = x^3-3x-2[/tex]
The following steps can be used in order to determine the interval in which the given function is decreasing:
Step 1 - Write the given function.
[tex]\rm f(x) = x^3-3x-2[/tex]
Step 2 - Now, differentiate the above function with respect to 'x'.
[tex]\rm f'(x) = 3x^2-3[/tex]
Step 3 - Now, equate the above expression to zero.
[tex]\rm x^2 = 1[/tex]
x = 1 or -1
Therefore, the correct option is C).
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write an equivalent expression for 3 (1-7)
The product of 1.3×10^-4 and a number n results in 2.6×10^12 , what is the value of n?
Answer:
2x10^16
Step-by-step explanation:
ik im late but in case anyone still needs it
also tell me if u want an explanation
Martha placed $2,500 in a college savings account with a simple interest rate of 5% when when Ryan was born. How much will be in the account in 18 years when her son is ready to go to college?
When solving -1/3 (x − 15) = −4, what is the correct sequence of operations? Please help!! 15 points
-1/3(x-15) = -4
1st step distribute(multiply) the -1/3 with what is inside parenthesis
-1/3x + 5 = -4
2nd step subtract 5 from both sides of the equation
-1/3x = -9
3rd step divide both sides of the equation by -1/3 to get x
x = -9 / -1/3
x = 27
WHOEVER ANSWER THIS AND HAS THE SMARTEST ANSWER I WILL MARK YOU AS BRAINLIEST. 15 out of 20 students own hand-held games; 105 out of 160 students own hand-held games. Determine if each pair of ratios or rates are equivalent. Show ALL your work.
in 3/4 pound of a spice mix there is 5/6 cup of cinnamon. how much cinnamon dose the spice mix contain per pound
About 22/40 of a lawn is planted with Kentucky bluegrass. What percent of the lawn is planted with Kentucky bluegrass
The following table gives the scores of 30 students in a mathematics examination. Scores 90–99 80–89 70–79 60–69 50–59 Students 3 7 12 4 4 Find the mean and the standard deviation of the given data. Hint: Assume that all scores lying within a group interval take the middle value of that group. (Round your answers to two decimal places.)
Karyn proofreads 15 pages in 2 hours for $40. What is her proofreading rate in pages per hour?
………………………………………………………………
Write the following term as a cube. 64z^9
(Type your answer using exponential notation.)
A store plans to mark down all dresses by 60%. Julie wants to purchase a dress that is currently priced at $75. What amount of money will Julie save if she buys the dress after the store marks it down?
Answer:45
Step-by-step explanation:For Julie's situation, the percent equation becomes:
money saved = percent of markdown × current price
Since the markdown is 60% off $75,
money saved====percent of markdown × current price60%×$750.6×7545
So, Julie will save $45.
If someone sleeps 8 hours a day for 75 years how many hours did that person sleep in his lifetime?
HELP PLZ Which math expression represents the phrase? 9 times the sum of a number and 7 A. 9 · n + 7 B. 9 · (n + 7) C. 9 · (n – 7) D. 9 · (n · 7)
Patrick is reading a book about forest animals. He has read 3/4 of the 100 pages in his book. Nicholas has read 2/3 of the 120 pages about alpine flowers. who has more pages to read in his book?
Final answer:
Upon calculating, Nicholas, who is reading about alpine flowers, has more pages left to read (40 pages) in his book compared to Patrick, who is reading about forest animals and has 25 pages left.
Explanation:
The question asks who has more pages to read in his book between Patrick, who is reading about forest animals, and Nicholas, who is reading about alpine flowers. To determine this, let's calculate the pages each has already read and then subtract that from the total number of pages in their respective books.
For Patrick: He has read 3/4 of the 100 pages. This means he has read 75 pages (since 3/4 of 100 is 75), leaving him with 25 pages to read.
For Nicholas: He has read 2/3 of the 120 pages. This means he has read 80 pages (since 2/3 of 120 is 80), leaving him with 40 pages to read.
Comparing the pages left to read, Nicholas has more pages to read in his book about alpine flowers than Patrick does in his book about forest animals.