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Related Questions
Line c has a slope of -6/7. line d has a slope of -6/7. are line c and d parallel or perpendicular?
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And since they both have a slope of -6/7, then lines c and d are parallel
A=12h(a+b) Solve for h.
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The equation can be solved for h by isolating h on one side. This is achieved by dividing A by 12(a+b), resulting in h = A / 12(a+b).
Explanation:To solve for h in the equation A=12h(a+b), we first need to isolate h. This can be done by dividing both sides of the equation by 12(a+b). Therefore, the equation becomes: h = A / 12(a+b).
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To find the height h in A = 12h(a + b), isolate h by dividing both sides by 12(a + b), yielding [tex]\( h = \frac{A}{12(a + b)} \)[/tex]. This formula relates height to area and base lengths in geometric contexts.
To solve for h in the equation A = 12h(a + b), we need to isolate h on one side of the equation. Begin by dividing both sides by 12(a + b):
[tex]\[ \frac{A}{12(a + b)} = h \][/tex]
This gives us the expression for h. The solution is [tex]\( h = \frac{A}{12(a + b)} \)[/tex]. This formula represents the height h in terms of the area A, and the values of a and b.
The denominator 12(a + b) reflects the combined base lengths scaled by 12, and the height h is determined by the ratio of the given area A. This formula allows you to compute the height when the area and base lengths are known, providing a versatile tool for various geometric applications, especially in contexts like rectangular shapes or parallelograms.
Chris had a tin of 24 cookies he has eaten 2/4 of the cookies how many cookies did he eat
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Write 0.76 as a fraction. then looking at the decimal, circle t for terminating or r for repeating
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100. Equals 131 ,so its a T
Marissa is bu buying a shirt for each of her brothers and each of her 2 sisters. Each shirt costs $7.50 and she spends a total of $30. How many brothers does Marissa Have?
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hope it helps
Using an equation, Marissa has 2 brothers with her 2 sisters, making 4 siblings.
What is an equation?An equation is a mathematical statement of the equality or equivalence of two or more mathematical expressions.
We can use an equation to solve the above problem.
The number of brothers that Marissa has = x
The number of sisters Marissa has = 2
The cost of each shirt = $7.50
The total amount spent = $30
The total number of shirts Marissa can buy with $30 = 4 ($30/$7.50)
Equation:
7.5x + 7.5(2) = 30
7.5x + 15 = 30
7.5x = 15
x = 2
Thus, Marissa has 2 brothers, based on the solved equation.
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For safety. the recommended height of a zebra fence is 5 ft. Because of uneven ground surfaces, the actual height of the fence can vary from recommendation by 3 inWrite and solve an absolute value equation to find the maximum and minimum heights of the fence. Then, find the maximum and minimum heights of the fence
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The maximum and minimum heights for the zebra fence, considering the 3-inch allowance, are 5.25 feet (63 inches) and 4.75 feet (57 inches), respectively. This was computed by converting the standard height to inches, and applying an absolute value equation to figure out the range for the fence's height.
Explanation:The recommended height of the fence is 5 ft, but this can vary by 3 inches due to uneven ground surfaces. The question asks for an equation to calculate the maximum and minimum heights.
To start, we need to convert all measurements to the same units. 5 feet is equivalent to 60 inches.
Next, we can set up the absolute value equation to represent the possible variation in height. This may look like |x - 60| ≤ 3. Here, x is the actual height of the fence.
Then, solve the equation to get our two possible results: x ≤ 60 + 3 and x ≥ 60 - 3. Therefore, the maximum and minimum heights of the fence are 63 inches (or 5.25 feet) and 57 inches (or 4.75 feet) respectively.
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In a certain grocery store, strawberries cost $4.48 per pound ( 4.48 dollars/lb ). What is the cost per ounce?
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To solve this problem, all we have to do is to convert the pounds to ounce. We know that the conversion factor is:
1 pound = 16 ounce
Therefore:
cost per ounce = ($ 4.48 / pound) * (1 pound / 16 ounce) = $0.28 / ounce
Answer: There is cost $0.28 per ounce.
Step-by-step explanation:
Since we have given that
Cost per pound = $4.48
We need to find the cost per ounce.
As we know that
1 pound = 16 ounces
So, Cost per ounce would be
[tex]\dfrac{4.48}{16}\\\\=\$0.28[/tex]
Hence, there is cost $0.28 per ounce.
Help Pre calc!
Identify the x values for which f(x) >- 2
I think the answer would be -2 <= x <= 2?
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bear in mind that, for negative values, the closer to 0, the greater, so, -3 for example is greater than -1,000,000.
The area of circle h is 200.96 square feet. what are the radius and diameter of circle h? what is the circumference of circle h?
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diameter is 16
curcumference is 50.24
What is the slope of the line that passes through the points (-3,-3) And (-9,5) ?
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slope = 8/-6
slope = -4/3
hope it helps
Hello!
Step-by-step explanation:
Slope: [tex]\frac{Y^2-Y^1}{X^2-X^1}=\frac{rise}{run}[/tex]
[tex]\frac{5-(-3)=5+3=8}{(-9)-(-3)=-9+3=-6}=\frac{8}{-6}=\frac{8/2}{-6/2}=\frac{4}{-3}[/tex]
Slope is -4/3
Answer is -4/3
Hope this helps!
-Charlie
Thank you!
:)
:D
Two non-perpendicular, non-bisecting, intersecting line segments definition
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Which age group is appropriate to receive the 2-dose hpv9 vaccine series?
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The 2-dose HPV9 vaccine series is appropriate for individuals between the ages of 9 and 14, according to the CDC.
Explanation:The 2-dose HPV9 vaccine series is appropriate for individuals between the ages of 9 and 14 years old, according to the Centers for Disease Control and Prevention (CDC).
It is recommended to receive the first dose at the age of 11 or 12, and the second dose 6 to 12 months after the first dose.
If the vaccine series is started after the age of 14, three doses are required for full protection.
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A social worker examines the level of aggression (measured on a 100-point scale) of four groups of individuals before they begin anger management classes. using the weighted mean, determine the overall mean level of aggression for all four groups. group 1: mean = 82, n = 15; group 2: mean = 87, n = 12; group 3: mean = 93, n = 22, and group 4: mean = 79, n = 11
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Group 1: (82)(15) = 1230
Group 2: (87)(12) = 1044
Group 3: (93)(22) = 2046
Group 4: (79)(11) = 869
Then, we add up the products to determine the overall total
Overall total = 1230 + 1044 + 2046 + 869 = 5,189
Then, we divide the overall total by the total number of people in four groups
total number of people = 15 + 12 + 22 + 11 = 60
Overall mean = 5,189 / 60 = 86.48
Therefore, the answer is ~86.5.
Question 3(Multiple Choice Worth 5 points) (01.06) Jack and Jill had 5 pails of water. Each trip up the hill, Jack and Jill obtained 2 more buckets of water. Which of the graphs below represents Jack and Jill's number of pails over time? graph of line going through 1, 7 and 2, 12 graph of line going through 1, 7 and 3, 11 graph of line going through 2, 6 and 4, 7 graph of line going through 0, 2 and 6, 3
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The graph which represents Jack and Jill's number of pails over time is:
graph of line going through (1,7) and (3,11) Step-by-step explanation:It is given that:
Jack and Jill had 5 pails of water. Each trip up the hill, Jack and Jill obtained 2 more buckets of water.
Let x be the number of hills they tripped.
and y denote the number of buckets of water they have.
Then the equation which represent the relationship between y and x is:
[tex]y=5+2x[/tex]
On making a table for x and y:
x y
1 7
2 9
3 11
4 13
5 15
6 17
Hence, the graph will pass through the points (1,7) (2,9) (3,11) (4,13) (5,15) (6,17) and many more.
If f(x)=2x^2+1, what is f(x) when x=3
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Which is more, 6 kilograms or 5,999 grams?
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Order feet,inches,miles,yards from most precise to least precise
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List in order the specific operations that you would use to isolate X in the following equation show the step that corresponds to each operation
7 + 3 (2 - 3x) = 67
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3 brackets are distributed
7+6-9x = 67
13-9x = 67
-9x = 67
x = 67/-9
At the city museum, child admission is $5.20 and adult admission is $8.50 . on friday, three times as many adult tickets as child tickets were sold, for a total sales of $1074.50 . how many child tickets were sold that day?
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The difference between two numbers is 10 and their sum is four times the smaller number Find the two numbers.
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A = larger number
B = smaller number
A -B = 10
A + B = 4B
A=10+B
10+B+B = 4B
10 +2B = 4B
10=2B
B = 10/2 = 5
A = 10+5 =15
15-5 =10
15+5 = 20, 4*5 = 20
the numbers are 5 & 15
t - yc = b solve for c (literal equations)
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yc = T - b
c = (T - b) / y
hope it helps
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Like equations with the same variable on both sides...
We want to get c by itself...
T - yc = b [Subtract T from both sides]
-yc = b - T [divide -y from both sides]
c = -(b - T)/y
So...
The answer is: c = -(b - T)/y
please help !! A safety regulation states that the height h of a guardrail should be 106 centimeters with an absolute deviation of no more than 7 centimeters. Write and solve an absolute value inequality that represents the acceptable heights of a guardrail. The absolute value inequality is_ . The acceptable range of heights of a guardrail are _cm to _cm.
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The height h of a guardrail = 106 centimeters
absolute deviation = 7 centimeters
To find the acceptable heights of a guardrail , we add and subtract absolute deviation(7) from the mean height(106)
The acceptable range of height is 7 cm away from 106 to the left and then to the right.
106 + 7 = 113
106 - 7 = 99
acceptable heights are defined by
99 <=h<=113
The absolute value inequality is |x-106|<=7
The acceptable range of heights of a guardrail are 99 cm to 113 cm.
We want to write an absolute value equation for the acceptable range of the height of a guardrail.
The acceptable range of heights of a guardrail is 99cm to 113cm.
And the absolute value equation is: |h - 106cm| ≤ 7cm
We know that the height should be 106cm with an absolute deviation of no more than 7 cm.
So the maximum height is:
106cm +7cm = 113cm
The minimum is:
106cm -7cm = 99cm
The absolute value equation that represents this is:
|h - 106cm| ≤ 7cm
Where h is the height of the guardrail.
The acceptable range of heights of a guardrail is 99cm to 113cm.
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A picture is enlarged by keeping its width the same and increasing its length. The scatter plot shows the perimeter of the picture (y) for different lengths (x):
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Function of the straight line has the general formula: y = mx + c
where:
m is the slope of the line and c is the y-intercept
So first we will need to find the slope (m):
Taking two points from the graph (x1,y1) and (x2,y2), the slope can be calculated as follows:
m = (y2-y2) / (x2-x2)
Then, we will need to find the y intercept.
we have the equation y = mx + c and we have m calculated
Take any point that belongs to the line and substitute with the values of x,y and m and then calculate c.
Now you have both m and c calculated, just substitute with the values in the formula.
Answer: This is the CORRECT answer ----> y = 2x + 20
Step-by-step explanation: slope, y2 - y1/x2 - x1
replace it with these numbers 120 - 60/50 - 20=60/30
than,simplified it we get 2/1. so, now we have the slope of our equation
y = 2x + b. but we still have b (or where the y intersects.) now are slope we have to change it to 1/2 because we are going backwards. So multiply 60 by .5, Thus will give us 30
Now we have y = 2x + 30, But that's not one of your answer,
So y = 2x + 20 cant be -20 because this is a positive y intersect and We know it is a slope of 2.
Therefore the answer is : y = 2x + 20
ALSO I know it's correct because I got it right on the test!! Hoped I helped :))
simplify the expression (2x − 9)(x + 6). 2x2 − 54
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Answer:
2x²+3x-54
Step-by-step explanation:
To simplify the expression
(2x − 9)(x + 6)
We will multiply both linear equations together to get a quadratic equation of second degree.
(2x − 9)(x + 6)
= 2x²+12x-9x-54
= 2x²+3x-54
This gives the required quadratic expression after simplification.
How do u graph linear equations like this where it's just y=-5x ?Plz explain
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E.g. x=0: y=-5*0 = 0, plot the point (0,0)
x=1: y=-5*1=-5, plot the point (1,-5)
repeat the process until you are confident to draw a smooth line through it. For straight lines two points suffice. In this example I'd choose them sufficiently far apart, like x=-4 and x=+4.
Subtract the following military times: 2330 - 0540
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To find the difference between two times in military format, convert each time to minutes. Subtract the later time from the earlier one, and then convert the result back to hours and minutes. The difference between 2330 and 0540 is 17 hours and 50 minutes.
Explanation:To calculate the difference between two military times, we first need to understand that military time runs on a 24-hour clock rather than a 12-hour clock. In this instance, you are being asked to subtract 05:40 from 23:30.
First, it would be easier to convert these times into minutes. So, 23:30 becomes (23*60) +30 = 1410 minutes. Similarly, 05:40 becomes (5*60) +40 = 340 minutes.
Then we subtract the two: 1410 - 340 = 1070 minutes. Now, we convert it back to hours and minutes. There are 17 hours and 50 minutes in 1070 minutes. Therefore, the difference between 2330 and 0540 in military time is 1750 or 17 hours and 50 minutes.
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Final answer:
To subtract the military times 2330 from 0540, convert 1 hour to 60 minutes, add to the minutes of 2330, and then subtract both the hours and minutes separately. The result is 17 hours and 50 minutes.
Explanation:
Subtracting military times requires understanding the 24-hour clock system and being able to handle situations where you must "borrow" time from one hour to subtract minutes from another. To subtract 2330 (11:30 PM) from 0540 (5:40 AM), we need to do the following:
First, recognize that 2330 is later than 0540, so we will be finding how much time elapses from 0540 to 2330.Since we cannot subtract a larger minutes unit from a smaller one, we convert one hour from the hour's digit of 2330 into 60 minutes and add this to the 30 minutes already present, giving us 90 minutes.Now we have 22 hours and 90 minutes.Subsequently, subtract the minutes: 90 - 40 = 50 minutes.Finally, subtract the hours: 22 - 5 = 17 hours.The result is 17 hours and 50 minutes.
PLEASE HELP Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x
f(x) = (x+3)/4
g(x) = 4x - 3
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f(g(x))=(4x-3+3)/4=(4x+0)/4=4x/4=x
g(f(x))=4((x+3)/4)-3=(x+3)-3=x+3-3=x+0=x
what is the algebraic expression for the following word phrase: the sum of 5 and 2x?
a. 7x
b. 5+2
c. 5x +2x
d. 5+2x
(please choose the correct one)
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You can't add this because they are not like terms
The number of roses (r) in a garden increases when the number of weeds (w) decreases. Write the correct equation for this scenario, and solve for the number of roses when there are 5 weeds. Weeds Roses 10 20 20 10
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[tex]r= \dfrac{k}{w} \\ \textrm{if w=10 then r=20} ==\ \textgreater \ 20= \dfrac{k}{10} ==\ \textgreater \ k=200\\\\ \textrm{if w=5 then }\\\\ r= \dfrac{200}{5} =\boxed{40}[/tex]
License plates in a particular state display 22 letters followed by 44 numbers. how many different license plates can be manufactured for this state?
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26^22*10^44 is your answer due to that if you think of it as 2 numbers in a row at this point, there are 10^44 different numbers for each different letter change in those 26^22.
The number of unique license plates are [tex]26^{22}[/tex] for the letters and [tex]10^{44}[/tex]for the numbers, then multiply the two results.
Each letter on the license plate can be any one of the 26 letters in the English alphabet.
So, for 22 letters, the total possible combinations are calculated as:
[tex]26^{22}[/tex]
Each number on the license plate can be any one of 10 digits (0 through 9).
So, for 44 numbers, the total possible combinations are calculated as:
[tex]10^{44}[/tex]
So, the total number of different license plates can be found by multiplying these two results:
Total combinations = [tex]26^{22}[/tex] × [tex]10^{44}[/tex]