Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
Find the exact length of EC.
Answer:
[tex]\sqrt{246}[/tex]
Step-by-step explanation:
The scale factor is [tex]\frac{4\sqrt{138} }{\sqrt{138}}[/tex] = 4
If AB = 6[tex]\sqrt{3}[/tex] then AC = 24[tex]\sqrt{3}[/tex] 4 times longer.
Using a² + b² = c² substitute a = 4[tex]\sqrt{138}[/tex], b = 24[tex]\sqrt{3}[/tex], and c = DC = x
[tex](4\sqrt{138})^2 + (24\sqrt{3} )^2= x^2[/tex]
2208 + 1728 = x²
3936 = x²
[tex]\sqrt{3936} = x[/tex]
4[tex]\sqrt{246[/tex] this is the length of DC
Now the length of EC is 4 times shorter, so EC = [tex]\sqrt{246}[/tex]
Mia is 7.04304 x 10 minutes old. Convert her age to more appropriate units using years, months, and
days. Assume a year has 365 days and a month has 30 days.
a
Mia is 13
years
months and
days old
Answer:13 years,1 month, and 29 days
Step-by-step explanation:
Help,
Is the following triangle acute, obtuse, or a right triangle
Answer:
Right-as long as it has one right angle it is a right triangle. It actually can't have more than one right angle.
Step-by-step explanation:
in 2012, the general social survey included a question that asked participants how many hours they worked a week. do males work more hours at a job than females? would this be an example of independent or dependent samples?
Using sampling concepts, it is found that this is an example of independent samples.
For dependent samples, there is a paired measurement for one set of items.For independent samples, separate measurements are made on two different sets, that is, the value on one sample reveal no information about the values on the other sample.In this problem, there are two samples, the sample composed of male workers and the one composed of female workers, and separate measurements are taken, hence, it is an independent sample.
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Karen saw a laptop for sale in 2004.
In March 2005, the price of this laptop was reduced 20%.
In June 2005, the price of this laptop was reduced by one sixth of the March 2005 price.
Compared with the 2004 price, what percentage discount would Karen obtain by buying this laptop in June 2005?
Answer:
Step-by-step explanation:
Let X be the initial price in March 2004.
Let X' be the price for March 2005.
Let X" be the price for June 2005.
March 2005: The price was reduced by 20%. Thus, X' = 0.8X
June 2005: The price was reduced by 1/6 of the March 2005 price: Thus,
X" = X' - (1/6)X'
Substituting, we have X" = (0.8X) - (1/6)(0.8X)
X" = (0.8X) - (1/6)(0.8X)
X" = (0.8X) - (0.1333X)
X" = 0.6667X
The June 2005 price is 0.6667 of the 2004 price. That's a (1-0.6667) or 33.33% reduction.
What does a residual value of â€""0. 8 mean in reference to the line of best fit?.
Residuals are used to determine how the line of best fit relates to the data points
A residual value of -0.8 means, the point is 0.8 units above the line of best fit
The residual value is given as:
[tex]\mathbf{Residual = -0.8}[/tex]
When the residual value is less than 0 (i.e. negative), then the point is above the line of best fit.
So, the interpretation of a residual value of -0.8 is that, the point is 0.8 units above the line of best fit
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I just need answers ;-;
Answer:
1. 5⁴
2. d¹⁰
3. w⁶
Nathan earned $105.70 at his job when he worked for 7 hours. What was his hourly wage, in dollars per hour?
Please no "files": Simplify. Express your answer as the given base raised to a single exponent.
(9^6)^8
Answer:
9^48
Step-by-step explanation:
when parenthesis are involved, you multiply the powers
6*8=48
The graph below represents the path of a squirrel traveling up and down a tree over time.
The position of the squirrel can be calculated using the function p (t) = at? + b + c.
What is the value of a?
What is the value of b?
What is the value of c?
Answer:
a= -1
b= 7
c= 0
Step-by-step explanation:
equation is
y=h(x)(x-7)
let x be 5 and y be 10 to solve for a
10=h(5)(5-7)
10=h(-10)
h=-1
now equation is
y= -x²+7x
so a=-1
b=7
c=0
The value of a is -1, the value of b is 7 and the value of c will be equal to zero.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.
Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the data provided in the question,
y = h(x) × (x-7)
let x be 5 and y be 10 to solve for a
10=h(5) × (5-7)
10 = h(-10)
h = -1
now equation is
y = -x²+7x
So,
a = -1
b = 7
c = 0
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Plant A Plant B WeeksHeight (inches) WeeksHeight (inches) 06 04 28 27 Part A To graph the two linear relationships, you need to know which variable is the independent variable, x, and which is the dependent variable, y. Of the two variables, weeks and height, which is the independent variable and which is the dependent? Explain your answer.
Answer:
Weeks is the independent variable and height is the dependent variable.
Step-by-step explanation:
The height of the plant depends on the weeks the plant has been growing. So the height is the dependent variable. Because the number of weeks doesn't depend on anything, the number of weeks is an independent variable.
Find the unit rate to 30 1/2 and 1 1/4
Answer:
24.4
Step-by-step explanation:
yw
The angle measures of a triangle are in the ratio 3: 4: 3. Find the angle
measures of the triangle.
Answer:
72
Step-by-step explanation:
3X+4X+3X=180
10X=180
X=180/10
X=18
3X=54 BOTH
4X=72
James threw a flying disk from a height of 4 feet above the ground. The disk travels a horizontal distance of 30 feet before falling to the ground. the height of the disk, in feet, at a distance of x feet from james, is modeled on the graph.
the domain represents the _____ the flying disk. The range of this function is [___, ___]. for this function, the range represents the flying disk’s _________
Answer:
the domain represents the horizontal flying of the disk. The range of this function is [0, 7]. For this function, the range represents the flying disk's possible heights
Naomi’s recipe for baked beans calls for 715 cup of kidney beans. Each can of kidney beans holds 145 cups. How many cans of kidney beans will Naomi use to make the recipe?
Answer:
5 Cans
Step-by-step explanation:
Hoped this helped.
Your family went out to dinner. They spent $60.45 on dinner, 7% tax, and on top of both costs they left an 18% tip. How much total did her family pay for dinner?
Answer:
The answer is $75.56 total for the family payings.
Step-by-step explanation:
First I added the percentages up together which is now 25% you might ask me why I did that well it's because it's asking us the total of the payings in percentages so that's why I did that, next I used percentage calculations which is 25% of 60.45 and got the answer $15.11 which is the tax+ the tip now we just add 60.45 and 15.11 and that's how I got $75.56! Hope I helped if I did please mark brainliest it means a lot to my progression! Thanks <3
Can someone please help I will give you 30 points and brainliest if the answer is right also no links please
Answer:
B: BC ≅EC
Step-by-step explanation:
You know that the two angles starting in C are congruent (they're opposite by vertex C).
Given that the B angle and the E angle are congruent, in order for the two triangles to be congruent by A(ngle)S(ide)A(ngle) you want the side inbetween to be congruent. That is BC and EC. Option B
Round 2,861 to the nearest hundred
Hey there!
2,891
= 200,000 + 800 + 90 + 01
= two-hundred thousand, eight hundred ninety one
Thousand:
2,000
Hundred:
900
Tens:
90
Ones:
1
Based on that information we can answer your question
SIMPLIFY IT
ANSWER: 2,900
[2,000 + 900 + 0 + 0]
[two thousand + nine hundred]
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Write the equation of the line in fully simplified slope-intercept form
Answer:
y=3x-1
Step-by-step explanation:
Use slope intercept form (y=mx+b) to plug in the values for m and b
How does this image help you understand why the French surrendered to the Prussians?
Answer:
It's hard.
Step-by-step explanation:
Answer:
Step-by-step explanation:
If you look carefully at the diagram, it looks like the French have no way out. The Prussians are on the outside perimeter and can always get supplies into their position. Since they are completely surrounded, the French do not enjoy that luxury.
Furthermore (and I'm guessing here) the Prussians probably outnumbered the French. Now it is possible to get around that problem, but not terribly likely if the numbers are really lopsided.
Jack estimates that a piece of wood measures 4.5 cm. If it actually measures 4.72 cm, what is the percent error of Jack’s estimate? (Show all of your work)
Answer:
ion
Step-by-step explanation:srry
Yasmine is making party favors for her birthday party. She has 2/5 meter of yarn to make
bracelets for 5 people. How much of a meter can Yasmine use for each bracelet?
Write out the problem. Then create a model to represent the quotient.
Answer: 0.5 hope this helps if not i'm sorry
grace was born in 1995. how old will she be in 2027
Answer:
12
Step-by-step explanation:
2007 - 1995
What does the value 12 represent in the function
Answer: The number twelve carries religious, mythological and magical symbolism, generally representing perfection, entirety, or cosmic order in traditions since antiquity.
Step-by-step explanation: If you're not talking about this type of 12 correct me.
Help please and thank you!
Answer:
... are ...Step-by-step explanation:
Verify if the ratio of corresponding sides is same:
Long sides ratio: 38/19 = 2Middle sides ratio: 28/14 = 2Short sides ratio: 20/10 = 2Since the ratios are same the triangles are similar
Sandy worked extremely hard at her job and earned a large bonus at the end of the year. She decided to give her children 2/5 of the money and her grandchildren 1/4 of her bonus. How much of her bonus did she keep for herself?
Answer:
7/20 of her bonus
Step-by-step explanation:
Solution:
She gives her children 2/5 of her bonus and grandchildren 1/4 of her bonus.
= 1 - 2/5 - 1/4
= 1 - 8/20 - 5/20
= 1 -13/20
= 7/20
I hope it helps.
The fuel capacity of a popular hybrid car is 11.9 gallons. The function for this situation is f(x) = -0.02x + 11.9, where x represents miles and f(x) represents the amount of fuel remaining. What is the rate of change for this scenario?
Answer:
-0.02 gallons per mile
Step-by-step explanation:
You're in luck. The fuel consumption of the car is linear, and the slope - ie, the coefficent of the x term gives you the rate of change. In this case, it's -0.02 gallons per mile.
How can coordinate proof be used to show segments are congruent?
Answer:
The coordinate proof is a proof of a geometric theorem which uses ... and/or y -axis until it does.) To Prove: ¯XY is parallel to ¯PR and. XY=12PR. Proof:.
Use the following function rule to find f(1).
f(x) = 8^x+7
f(1) =
Given the function [tex]f(x)=8^x+7[/tex], the value of f(1) is f(1) = 15
The given function is:
[tex]f(x)=8^x+7[/tex]
To find f(1), substitute x = 1 into f(x) and evaluate for the result
[tex]f(1)=8^1+7[/tex]
Simplify the resulting equation to get the final result
f(1) = 8 + 7
f(1) = 15
Therefore, given [tex]f(x)=8^x+7[/tex], the value of f(1) is f(1) = 15
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Large boxes weigh 75 pounds, and small boxes weigh 40 pounds. a. Write an inequality that represents the numbers of large, x , and small, y, boxes a 200-pound delivery person can take on the elevator.
The inequality that represents the numbers of large, x and small, y boxes of a 200 pound delivery person is; 75x + 40y ≤ 200
Weight of large boxes = 75 pounds
Weight of small boxes = 40 pounds
Number of large boxes = x
Number of small boxes = y
Thus;
Total weight of large boxes = 75x
Total weight of small boxes = 40y
If the delivery man has 200 pound weight to deliver, then inequality is;
75x + 40y ≤ 200
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