PLEASE HELP: Find the equation of a line that is perpendicular to y=2x+7, and passes through the point (-4, 7). SHOW YOUR WORK *
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Related Questions
There were 91 books on a shelf. Twenty-eight of the books were nonfiction, 13 of the books were poetry books, and the rest were fiction books. How many books were fiction?
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13 of the books were poetry books
28 +13= 41
the rest are fiction
91 -( 28 +13)= 50 books fiction
Jennifer figures that she uses 2 pens per month. she started the year with 10 pens. how do i write the equation that represents the number of pens, y, she will have after x months
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Devon Price is a clerk typist. His annual salary is 18,720. What is his biweekly salary?
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Answer:
Biweekly salary is $ 720.
Step-by-step explanation:
Given,
Annual salary = 18,720,
Number of weeks in a year = 52,
Thus, the number of bi weeks in a year = [tex]\frac{52}{2}[/tex] = 26,
Hence, the biweekly salary = [tex]\frac{\text{annual salary}}{\text{Number of bi weeks in a year }}[/tex]
[tex]=\frac{18720}{26}=\$ 720[/tex]
What happened to the glass blower who inhaled
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Evaluate. 12+4⋅3−15 Enter your answer in the box.
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Answer:
I think it is 9 because I know u multiply at the start plus I used a calculator and got 9 so if it is not my calculator it broke
The sum of two numbers is 47 and the difference is 1 . what are the numbers?
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In Saudi Arabia it takes 20 kursh to equal 1 riyal.
a. Write the two unit multipliers implied by this relationship.
b. Use one of the unit multipliers to convert 16,000 kursh to riyals.
help
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The problem is about converting between two units of currency from kursh to riyals. The two unit multipliers from this scenario are: 1 riyal equals 20 kursh and 1 kursh equals 1/20 riyal. The conversion from 16,000 kursh to riyals would be 800 riyals.
Explanation:The question is about converting between two units of currency, specifically from kursh to riyals based on the exchange rate provided. It's a classic problem in unit conversion.
a. The two unit multipliers implied by this relationship are:
1 riyal = 20 kursh 1/20 riyal = 1 kursh
b. To convert 16,000 kursh to riyals, you would use the first unit multiplier. Given that 1 riyal equals 20 kursh, you simply divide the amount in kursh by 20 to get the equivalent amount in riyals. So, 16000 kursh ÷ 20 = 800 riyals.
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180=2x+y which equation is used to find x
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180-y=2x
(180-y)/2=x
The value of x would be equal to (180-y)/2
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
To solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We are given the equation as- 180=2x+y
Now solving;
180=2x+y
180=2x+y
180-y=2x
(180-y)/2=x
x = (180-y)/2
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Scores on a test have a mean of 70 and q3 is 83. the scores have a distribution that is approximately normal. find p90. (you will need to first find the standard deviation.)
a. 94.84
b. 85.08
c. 85.31
d. 83.7
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The value corresponding to the 90th percentile (p90) is 94.84. Option A is correct.
To find the value corresponding to the 90th percentile (p90), we first need to find the standard deviation of the scores.
We know that the third quartile (Q3) is 83, which corresponds to the 75th percentile (p75). Since the distribution is approximately normal, we can use the properties of the normal distribution to find the standard deviation.
In a standard normal distribution, the value corresponding to the p75 is approximately 0.6745 standard deviations above the mean. So, we can set up the following equation:
70 + 0.6745 * standard deviation = 83
Now, solve for the standard deviation:
standard deviation = (83 - 70) / 0.6745 ≈ 19.3047
Next, to find the value corresponding to the p90, we use the properties of the normal distribution again. The value corresponding to the p90 is approximately 1.2816 standard deviations above the mean.
Now, calculate p90:
p90 = 70 + 1.2816 * standard deviation
≈ 70 + 1.2816 * 19.3047
≈ 94.84
Rounding to two decimal places, we get p90 ≈ 94.84. So, the answer is (a) 94.84.
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To find p90 in a normally distributed set of scores, we need to find the standard deviation. Using the mean and q3, we can find the IQR and estimate the standard deviation. Finally, we can use the standard deviation to find the value corresponding to the 90th percentile.
Explanation:To find the value of p90 in a normally distributed set of scores, we need to first find the standard deviation of the scores. We know that the mean is 70 and q3 (the third quartile) is 83. Using the formula for the interquartile range (IQR = q3 - q1), we can calculate the value of q1. Subtracting q1 from q3 gives us the IQR. Since the distribution is approximately normal, we can assume that the IQR is approximately 1.35 times the standard deviation. Dividing the IQR by 1.35 gives us the standard deviation. Finally, we can use the standard deviation to find the z-score corresponding to the 90th percentile and then find the corresponding value in the original distribution using the mean and standard deviation. The correct answer is option (a) 94.84.
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Write an equation in point-slope form of the line having the given slope that contains the given point. y= 3 4 ,(5 1 3 ,2 7 8 )
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y - y1 = m (x - x1)
You haven't given me anything to work with. What is y =3 4 ,(5 1 3, 2 7 8) ?????
That's not asked correctly, I think you made a mistake there. Fix it and I'll be happy to answer your question.
A wallet contains 23 bills. All the bills are $1 bills and $5 bills. There are 7 more $1 bills than 5 bills. How much money does the wallet contain
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Final answer:
The wallet contains a total of $55, given that there are 8 $5 bills and 15 $1 bills.
Explanation:
The student's question involves determining the total amount of money in a wallet given a specific mix of $1 bills and $5 bills. According to the information provided, there are 23 bills in total, with 7 more $1 bills than $5 bills.
Let's denote the number of $5 bills as x. Therefore, there are x + 7 $1 bills. The total number of bills is the sum of the number of $1 bills and the number of $5 bills, which gives us the equation:
x + (x + 7) = 23
Solving the equation for x will give us the number of $5 bills:
2x + 7 = 23
2x = 23 - 7
2x = 16
x = 8
Now, since there are 8 $5 bills, and 7 more $1 bills than $5 bills, we have:
Number of $1 bills = 8 + 7 = 15
Thus, the total amount of money in the wallet is:
($5 × 8) + ($1 × 15) = $40 + $15 = $55
Therefore, the wallet contains $55.
Given triangle XP’s is congruent to triangle dnf, find the values of x and y.
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Since they only give you two sides of ΔXPS, then you know that:
XP (4y-3)= DN (57)
XS (17x+3) = DF (54)
4y - 3 = 57
4y = 60
y = 15
17x + 3 = 54
17x = 51
x = 3
So the answers are:
x = 3
y = 15
x = 3
y = 15
Let's establish the proportion below to find the value of x and y
XP / DN = XS / DF = PS / NF
Since only 2 sides of XPS is given, then
4y - 3 = 5717x + 3 = 54Therefore,
4y = 60
y = 60 / 4
y = 15
17x = 57
x = 57 / 17
x = 3
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In the xy-plane, if the parabola wiry equation y=ax^2+bx+c, where a, b, and c are constants, passes through the point (-1,1), which of the following must be true?
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[tex] 1=a(-1)^{2} +b(-1)+c\\ 1=a-b+c[/tex]
So a – b + c = 1.
What is the value of X? Make sure to show all of your work!
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So you would set up your equation like so
3(7x - 3) = 180
The 3 outside the parenthesis resembles the 3 angles.
You equal the equation to 180 since all the angles in a triangle = 180
So distribute the 3
21x - 9 = 180
Add 9 to both sides
21x = 189
Divide 21 on both sides
x = 9
2/3 is what percent of 1/4?
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To determine what percent 2/3 is of 1/4, convert both fractions to percent form, where 1/4 is 25%. Converting 2/3 to a percent gives approximately 66.67%, and dividing this by 25% gives 266.68%. Thus, 2/3 is 266.68% of 1/4.
To find out what percent 2/3 is of 1/4, you first need to express the fractions in a way that allows comparison. A standard way of expressing a fraction as a percent involves having a denominator of 100. Since you know 1/4 equals 25 percent, you can use this as a basis for comparison with 2/3.
To convert 2/3 to a decimal, divide the numerator by the denominator: 2 divided by 3 equals approximately 0.6667. To then convert that decimal to a percent, multiply by 100, getting approximately 66.67 percent. To find what percent 2/3 is of 1/4, divide 66.67 by the percent value of 1/4, which is 25, and then multiply by 100 to get the percentage. This gives you (66.67 / 25) x 100 = 266.68 percent. So, 2/3 is 266.68 percent of 1/4.
How many six-letter passwords are there that use only lowercase letters with no letter repeated?
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you want 6-character passwords without repetitionthe first time you pick a letter, you pick from 26 lettersthe second time you pick a letter, you pick from 25 letters (no repetitions !)the third time you pick a letter, you pick from 24 letters, and so onthe answer is 26*25*24*23*22*21=165,765,600 passwords
This figure is a rectangle Select the three statements that describe all rectangles.
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All rectangles have 4 right angles.
All rectangles have 4 vertices, and 4 sides.
what is the greatest possible whole number remainder if you divide any number by 41?
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The greatest possible whole number remainder if you divide a number by 41 is 40.
It can't be 41 because, if the remainder is 41, the remainder can divided by 41
Hope this helped.
Which is bigger 4 kilometers or 4400 meters?
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4400m=(4400/1000)km
4400m=4.4km
therefore, 4400meters is bigger
Find the plane containing the points S, X, and V. Which statement is true?
Point Y is noncoplanar with points S, X, and V.
Point U is coplanar with points S, X, and V.
Point Z is coplanar with points S, X, and V.
Point C is coplanar with points S, X, and V.
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Choice A)
Point Y is noncoplanar with points S, X, and V
This claim is false. Point S, X and V are all in the pink horizontal plane. So is point Y. So Y is coplanar with the other three points mentioned. Being coplanar is the complete opposite of noncoplanar
We can rule out choice A since it is false
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Choice B)
Point U is coplanar with points S, X, and V
This claim is true. Point U is in the pink plane alone with S, X and V
So far it looks like choice B is the answer. Let's check the others just to be sure
------------------------------------------
Choice C)
Point Z is coplanar with points S, X, and V
False. Point Z is above the pink plane and is instead in the gold plane. If it said that Z is noncoplanar with S, X, and V, then the statement would be true.
We can rule out choice C
------------------------------------------
Choice D)
Point C is coplanar with points S, X, and V
Similar to choice C, we can rule out choice D as point C is not in the pink plane either.
------------------------------------------
------------------------------------------
Summary:
Choice B is the only true statement
Deniz had a full gallon of milk. She poured out 4 cups of milk. There are 16 cups in 1 gallon. About what percent of the original volume is left?
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Answer:
75% of the original volume is left.
Step-by-step explanation:
Deniz had a full gallon of milk, or 16 cups of milk, and then she poured out 4 cups of milk. That is:
[tex]\\ A_{full-gallon} = \frac{16}{16}[/tex] cups of milk, since [tex]\\ \frac{16}{16} = 1[/tex] or [tex]\\ 1 * 100\% = 100\%[/tex] of the original volume.Deniz poured out 4 cups of milk from the 16 available (or [tex]\\ \frac{4}{16}[/tex]).Then,
The total left is:
[tex]\\ Total_{left} = \frac{16}{16} - \frac{4}{16} = \frac{12}{16} = \frac{3}{4}[/tex], since we are dealing here with fractions with the same denominator.
In other words, [tex]\\ \frac{3}{4} = 0.75[/tex] is the amount of milk left in the container.
In terms of percentage, [tex]\\ \frac{3}{4} = 0.75[/tex] is equivalent to [tex]\\ 0.75*100\% = 75\%[/tex] of the original volume, because Deniz poured out [tex]\\ \frac{4}{16} = \frac{1}{4} = 0.25[/tex] or [tex]\\ 0.25*100\% = 25\%[/tex] from the original volume.
So, Deniz left 75% of the original volume of milk after pouring out 25% of it.
This can be represented in the graph below.
Answer:
75%
Step-by-step explanation:
operations absolute value
|4 - 9| =
|4| -9 =
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|-5|
5
|4|-9
4-9
-5
absolute value is the numbers distance from zero
Write an equation in point-slope form of the line having the given slope that contains the given point. m=34m=34, (36,24)
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y - 24 = 34(x -36)
Find the area of a circle with a diameter of 10 units. Round answer to the nearest hundredth of a square unit.
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Answer:
Step-by-step explanation:
The area of a circle is given by A = π*r²
If diameter is 10 units, the radius is 5, so:
A = π * 5² = 78,54units²
tim earns $150 a week plus $15.50 for each desk he assembles. write an inequality to represent how many desks he needs to assemble to make $400 in one week.
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x = number of desks needed to make
equation: 150 +15.50x >= 400
solution:
150 +15.50x >=400
15.50x = 250
x = 250/15.50 = 16.129
he needs to assemble 17 desks
15.50*17 = 263.50 +150 = $413.50
The length of the side of a square is 8 radical 12 in. What is the area of the square?
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(8 * 3,464101615137755)² =
27,71281292110204² =
768 (cm²?)
1.8 as a fraction????
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How to convert it:
Multiply both top and bottom by 10:
1 × 10 = 10
1.8 × 10 = 18
To simply it:
18 ÷ 2 = 9
10 ÷ 2 = 5
As an improper fraction, that could also be expressed as: 4/5
I hope this helped! c:
Improper fraction is 18/10
Mixed fraction is 1 8/10
Simplified fraction is 1 4/5
Hope this helps
BRAINLIEST TO BEST ANSWER!!!!
The function graphed is f(x). What is f(2)?
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when x is on 2
y is on -3
answer is y=-3
John Tucker is interested in purchasing stock. He wants to determine the costs.
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$1,625 x 0.06 = $97.5 $1,625 + $97.5 = $1,722.50
$1,466 x 0.06 = $87.96 $1,466 + $87.96 = $1,553.96
$4,708 x 0.06 = $282.48 $4,708 + $282.48 = $4,990.48
Answer: a0 =$97.5 ; a1 =$87.96 ; a2=$282.48; a3=$1,722.5 ; a4=$1,553.96 ; a5=$4,990.48
Step-by-step explanation:
Hi, to solve this problem we have to multiply each total by the commission in decimal form (6 / 100= 0.06).
So:
$1625 x 0.06 = $97.5
$1,466 x 0.06 =$87.96
$4,708 x 0.06 =$282.48
And finally, to obtain the total costs we have to add to each total the commission of the total.
$1625 + $97.5 = $1,722.5
$1,466 +$87.96 = $1,553.96
$4,708 +$282.48 = $4,990.48
Feel free to ask for more if it´s necessary or if you did not understand something.
The polynomial equation x^3-4x^2+2x+10=x^2-5x-3 has complex roots 3+2i What is the other root? Use a graphing calculator and a system of equations.
a –3
b –1
c 3
d 10
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Answer:
The correct option is b.
Step-by-step explanation:
The given expression is
[tex]x^3-4x^2+2x+10=x^2-5x-3[/tex]
Simplify the equation.
[tex]x^3-4x^2+2x+10-x^2+5x+3=0[/tex]
[tex]x^3-5x^2+7x+13=0[/tex]
It is given that 3+2i is a root of the equation and (x-3-2i) is a factor.
By complex conjugate root theorem if a+ib is a root of an equation then a-ib must be the root of the equation.
It means 3-2i is a root of the equation and (x-3+2i) is a factor.
[tex](x-3-2i)(x-3+2i)=(x-3)^2-(2i)^2=x^2-6x+9+4=x^2-6x+13[/tex]
Divide [tex]x^3-5x^2+7x+13=0[/tex] by [tex]x^2-6x+13[/tex], to find the remaining factor.
By the long division method, the quotient is (x+1) and remainder is 0. It means (x+1) is a remaining factor of the given equation. Equate each factor equal to 0, to find the remaining roots.
[tex]x+1=0[/tex]
[tex]x=-1[/tex]
Therefore the correct option is b.