9 miles is approximately equivalent to 5.6 miles.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know 1 mile is approximately equivalent to 1.6 kilometers or 1.6 kilometers is equivalent to 1 mile.
∴ 9 kilometers is equivalent to (9/1.6) miles.
= 5.6 miles.
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Need help asap! Complete the table below.
Answer:
Step-by-step explanation:
if the speed is 6 bracelets per hour then the table will go like this
2 12
5 30
7 42
11 66
16 and 2/3 hours is 100 bracelets
13x456+345 divided by 45x265-256=?
Answer:
7703.66666667
Step-by-step explanation:
There are 8 roses in a vase of 13 flowers. The rest are daisies.
(a) What is the ratio of daisies to roses?
0
X х
(b) What is the ratio of all flowers in the vase to daisies?
?what is it
Answer:
a.) 8/5
b.) 5/13
Find the distance between the two points
If (ax+2)(x+b) = 3x^2 + 5x + c for all values of x, what is the value of c?
Answer: is it 0.258
Step-by-step explanation:
How many parts 3 percent milk and 40 percent cream would be needed to make 500 pounds of 5 percent milk
Answer:
ok i have this same question so what you are going to take the 3 and just maove it to the side and then you fail
Step-by-step explanation:
Multiply. Enter your answer as a simplified mixed number.
-4(7/10)
The product is:
Answer:
−2.8 or - 2 8/10
Step-by-step explanation:
hope that helps
I NEED THIS IS THE NEXT 5 minutes , I don’t get it, I will give brainliest if correct the picture is attached thanks in advance
Answer:
x should equal 10
Step-by-step explanation:
differentiate the given function:
Answer:
[tex]\displaystyle h'(x) = \frac{1 + x - arcsin(x)\sqrt{1 - x^2}}{\sqrt{1 - x^2}(1 + x)^2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationAlgebra II
SimplifyingCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Quotient Rule]: [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Special Trig Derivatives:
Arcsine: [tex]\displaystyle \frac{d}{dx}[arcsin(x)] = \frac{1}{\sqrt{1 - x^2}}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle h(x) = \frac{arcsin(x)}{1 + x}[/tex]
Step 2: Differentiate
Quotient Rule: [tex]\displaystyle h'(x) = \frac{(1 + x)\frac{d}{dx}[arcsin(x)] - \frac{d}{dx}[1 + x][arcsin(x)]}{(1 + x)^2}[/tex]Special Trig Derivative [Arcsine]: [tex]\displaystyle h'(x) = \frac{(1 + x)(\frac{1}{\sqrt{1 - x^2}}) - \frac{d}{dx}[1 + x][arcsin(x)]}{(1 + x)^2}[/tex]Derivative Property [Addition/Subtraction]: [tex]\displaystyle h'(x) = \frac{(1 + x)(\frac{1}{\sqrt{1 - x^2}}) - (\frac{d}{dx}[1] + \frac{d}{dx}[x])[arcsin(x)]}{(1 + x)^2}[/tex]Basic Power Rule: [tex]\displaystyle h'(x) = \frac{(1 + x)(\frac{1}{\sqrt{1 - x^2}}) - 1[arcsin(x)]}{(1 + x)^2}[/tex]Multiply: [tex]\displaystyle h'(x) = \frac{\frac{1 + x}{\sqrt{1 - x^2}} - arcsin(x)}{(1 + x)^2}[/tex]Rewrite [Multiply]: [tex]\displaystyle h'(x) = \frac{\frac{1 + x}{\sqrt{1 - x^2}} - arcsin(x)}{(1 + x)^2} \cdot \frac{\sqrt{1 - x^2}}{\sqrt{1 - x^2}}[/tex]Simplify [Multiply]: [tex]\displaystyle h'(x) = \frac{1 + x - arcsin(x)\sqrt{1 - x^2}}{\sqrt{1 - x^2}(1 + x)^2}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
A construction company can remove 3/4 tons of dirt from a construction site each hour. how long will it take them to remove 36 tons of dirt from the site? (Answer needs to be in simplest form)
Answer:
48hours
Step-by-step explanation:
36÷(3/4)
36*(4/3)
144/3
48
What is the equation of a line that passes through the point (3, 11) and is parallel to the line y=2x-4
Answer:
The answer should be y=2x+5
Given: a mod 7 = 5 and b mod 7 = 6 Find (a + b)mod 7. Do not use specific numbers for a and b. Consider a, b as generic particulars. Show steps but you do not need to provide reasons.(7 points)
Answer:
wouldn't it be 77
Step-by-step explanation:
If 7 = 5 is a and 7 = 6 is b and you add them you will get 11 then multiply it by 7 which would give you 77
or If you add 7 + 7 = 14 multiply 11
Or the answer is 154
Do people who sit for at least 8 hours per day have more health problems than
those who sit for fewer than 8 hours per day?
Is statistical or non-statistical?
Answer:
Its statistical
Step-by-step explanation:
Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is random with mean 12.01 oz and standard deviation 0.35 oz.a) What is the probability that the mean volume of a random sample of 144 bottles is less than 12 oz?b) If the population mean fill volume is increased to 12.03 oz, what is the probability that the mean volume of a sample of size 144 will be less than 12 oz?
Answer:
a
[tex]P(X < 12) = 0.3660[/tex]
b
[tex]P(X < 12) = 0.1521[/tex]
Step-by-step explanation:
Considering question a
From the question we are told that
The mean is [tex]\mu = 12.01 \ oz[/tex]
The standard deviation is [tex]\sigma = 0.35 \ oz[/tex]
The standard error of mean is mathematically represented as
[tex]\sigma_{x} = \frac{\sigma}{\sqrt{n} }[/tex]
=> [tex]\sigma_{x} = \frac{0.35}{\sqrt{144} }[/tex]
=> [tex]\sigma_{x} = 0.02917[/tex]
Generally the probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as
[tex]P(X < 12) = P(\frac{X - \mu }{\sigma_{x}} < \frac{12 - 12.01 }{0.02917 } )[/tex]
[tex]\frac{X -\mu}{\sigma_{x} } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 12) = P(Z < -0.3425 )[/tex]
From the z table the area under the normal curve to the left corresponding to -0.3425 is
[tex]P(X < 12) = P(Z < -0.3425 ) = 0.3660[/tex]
=> [tex]P(X < 12) = 0.3660[/tex]
Considering question a
From the question we are told that
The mean is [tex]\mu = 12.03 \ oz[/tex]
Generally the probability that the mean volume of a random sample of 144 bottles is less than 12 oz is mathematically represented as
[tex]P(X < 12) = P(\frac{X - \mu }{\sigma_{x}} < \frac{12 - 12.03 }{0.02917 } )[/tex]
[tex]P(X < 12) = P(Z < -1.0274 )[/tex]
From the z table the area under the normal curve to the left corresponding to -1.0274 is
[tex]P(X < 12) = P(Z < -1.0274 ) =0.1521[/tex]
=> [tex]P(X < 12) = 0.1521[/tex]
I just need help with this please.
Answer:
-5/2 is located on the left of -1
Step-by-step explanation:
Dillon is packing equal quantities of pretzels and crackers for snacks. Dillon bags the pretzels in groups of 5 and the crackers in groups of 11. What is the smallest number of crackers that he can pack?
What is the product of -5/8 and -6/7
Answer:
-1 27/56
Step-by-step explanation:
Using the given fractions,
−58+−67
Applying the fractions formula for addition,
=(−5×7)+(−6×8)8×7
=−35+−4856
=−8356
Simplifying -83/56, the answer is
=−12756
How can you find the slope of the line that passes through the points (0, 0) and (2, 4)? Explain.
The slope of the line that passes through the points (0, 0) and (2, 4) is m = 2
The slope(m) of the line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
For the line that passes through the points (0, 0) and (2, 4)
x₁ = 0, y₁ = 0, x₂ = 2, y₂ = 4
Substitute x₁ = 0, y₁ = 0, x₂ = 2, y₂ = 4 into the equation [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{y_2-y_1}{x_2-x_1} \\\\m = \frac{4-0}{2-0} \\\\m = \frac{4}{2} \\\\m = 2[/tex]
The slope of the line that passes through the points (0, 0) and (2, 4) is m = 2
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someone plz help me please
Answer:
16. c)
12. b)
10. c)
2. a) <- you were right
4. a)
Step-by-step explanation:
16. 10x - 2y = -6
-2y/-2 = (-10x - 6)/-2
y = 5x + 3
12. x + y = -3
y = -x - 3
Answer:
one is C. Two is A. Not sure about third but the 4 one is correctly A. Last one is C. i'm so sorry if this sucked. I really hoped this helped! Sorry if it's wrong :)
Evaluate the expression
b(a + c)
when a= = -3, b= -4, and c= 2
Step-by-step explanation:
b(a + c)
=-4(-3+2)
=12-8
=4
Answer:4
Step-by-step explanation:
Steps a (-3) add c (2) is -1
Then you have to times -1 by -4 which is 4 :D
how many solutions are there 14x + 6 = 2(5 + 7x) - 4
Answer:
infinitely many solutions
Step-by-step explanation:
14x + 6 = 2(5+7x)-4
14x + 6 = 10 + 14x - 4
14x + 6 = 14x + 6
infinitely many solutions because both sides of the equation are equal
The sum of two numbers is 32. The larger is 3 less than 6 times the smaller. What is the larger number?
Answer:
23
Step-by-step explanation:
32=3x-4+x
32=4x-4
+4 +4
36=4x
/4 /4
9=x
Larger #= 3x-4
Larger #= 3(9)-4
Larger #= 27-4
larger #= 23
Explain in your own words how to find the equation of the horizontal line that passes through (3.5, 4.5) (HELP PLEASE ITS A QUIZZ)
Answer:
y=4.5
Step-by-step explanation:
You just have to remember that the equation of a horizontal line is a constant function, meaning that no matter what values are entered into the system, the answer for Y will always be the same. So in this case the function will be y=mx+b, since m or the slope in a horizontal line is 0 "x" will also be 0, so y=b, in this case as we can see in the point we are given b=4.5, so y=4.5
Which inequality is represented by this graph?
Answer:
x>0
Step-by-step explanation:
A local charity is making fruit baskets for elderly citizensbin the neighborhood. Each badket have 15:pieces of fruit. They brought 1,620 pieces of fruit total. Without completing the division, choose Yes or No for each statements
Answer
They can make at least 1,000 baskets
They can make at least 10 baskets
Answer:
Yes, no, no
Step-by-step explanation:
Answer:10 baskets yes
100 baskets yes
1000 baskets no
Step-by-step explanation:
Is this rational or irrational I really need help ASAP! Will mark brainlist.
Answer:
Irrational
Step-by-step explanation:
Since 7 is a prime number, it has no square factors and its square root cannot be simplified. It is an irrational number, so cannot be exactly represented by pq for any integers p,q .
Answer: irrational
Step-by-step explanation: 7 is a prime number and its square root can not be simplified.
Hope this helps!
50 POINTS!!!
Please I need fast and correct answer. I will award best answer with brainliest!!!
Answer:
[tex]measure angle 1 = 62 ------> given\\measure angle 4 = 62 --------> vertical angle theorem[/tex]
Step-by-step explanation:
vertical angle theorem states that the angle vertical from another angle has to be congruent
p.s. i found it
Anybody Know This. ?
Answer: (Option 1) They are similar triangles.
Step-by-step explanation: Just because there are different letters doesn’t mean that they aren’t similar triangles. The measurements are also alike, so you can call them congruent and similar.
Unit rate for $6.50 for 3 1/4 pounds of grapes
The unit rate for $6.50 for 3 1/4 pounds of grapes is 2 pounds
How to determine the unit rate for $6.50 for 3 1/4 pounds of grapes?The given parameters are
Amount = $6.50
Volume = 3 1/4 pounds
The unit rate of grapes can be calculated using the following formula
Unit rate = Amount/Volume
Substitute the known parameters in the above equation
So, we have
Unit rate = 6.50/(3 1/4)
Express 3 1/4 as a decimal
So, we have
Unit rate = 6.50/(3.25)
Evaluate the quotient
So, we have
Unit rate = 2
Hence, the unit rate for $6.50 for 3 1/4 pounds of grapes is 2 pounds
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Answer: $2.00 /lb
Step-by-step explanation:
The other math calculation answers have errors in the numbers. It's supposed to say:
$6.50 divided by 3 (1/4)
3 (1/4) = 13/4
$6.50 × 4 = 26 then 26/13 = $2.00 per pound
Whats the rate and unit rate for 7 pencils for 9 dollars
Answer:
7 to 9
Step-by-step explanation: