Answer:
2y^2 +7y +11
Step-by-step explanation:
The remaining length is the difference between the original and the length cut off:
remaining = whole length - piece length
remaining = (3y^2 +7y +1) -(y^2 -10)
= 3y^2 +7y +1 -y^2 +10 = (3 -1)y^2 +7y +(1 +10)
remaining = 2y^2 +7y +11
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Answer:
k=10x+6
Step-by-step explanation:
64 is equal to 2^6, so we just have 2^6*4^5k
4^5x is equal to 2^10x and we have 2^6*2^10x=2^k
Apply exponent multiplication rule : a^m*a^n=a^m+n
We get 2^10x+6, so 10x+6 is our answer
Find the slope of the line that passes through (7,1) and (6,8)
Answer:
-7
Step-by-step explanation:
[tex]\frac{(8-1)}{(6-7)}[/tex] = [tex]\frac{7}{-1}[/tex] = -7
y is directly proportional to the square root of ( x-3 ). When x = 28, y = 20. Find y when x = 39.
Answer:
24Step-by-step explanation:
y is directly proportional to the square root of ( x-3):
y = k[tex]\sqrt{x-3}[/tex], where k is the coefficient of proportionalityGiven:
y is 20 when x is 28Find k:
20 = k[tex]\sqrt{28-3}[/tex]20 = k* 5k = 20/5k = 4Find y when x = 39:
y = 4[tex]\sqrt{39-3}[/tex]y =4[tex]\sqrt{36}[/tex]y = 4*6y = 24Answer:
y = 24
Step-by-step explanation:
Given y is directly proportional to [tex]\sqrt{x-3}[/tex] then the equation relating them is
y = k[tex]\sqrt{x-3}[/tex] ← k is the constant of proportion
To find k use the condition when x = 28, y = 20 , then
20 = k × [tex]\sqrt{28-3}[/tex] = k × [tex]\sqrt{25}[/tex] = 5k ( divide both sides by 5 )
4 = k
y = 4 [tex]\sqrt{x-3}[/tex] ← equation of proportion
When x = 39 , then
y = 4 × [tex]\sqrt{39-3}[/tex] = 4 × [tex]\sqrt{36}[/tex] = 4 × 6 = 24
Solve for x
8-2x=-12
PLEASE HELP WHAT IS X
Answer:
x=10
Step-by-step explanation:
1-2 what is the slope of the table
Answer:
1. the slope is 3/1 = 3
2. the y-intercept is 2
Step-by-step explanation:
hope this helps :)
Which sign makes the sentence true?
3/2_- 3/2
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Can someone explain this to me? No Links no bots.
Answer:
Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the values in a function such as ). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an value in.
Step-by-step explanation:
Which scatter plot shows a positive linear association
Answer:
Plot AStep-by-step explanation:
Both B and C show a decreasing plot, while C is linear.
Only A is a positive ignoring the outliers.
help me please
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.
First clear the bracket of the inner fraction's numerator. This would allow you to reduce the inner fraction to lowest terms.
Given the expression
[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]
In order to simplify, note that the numerator and denominator of the fraction
[tex]\frac{(2r^2t)^3}{4t^2}[/tex]
have common factors. So, we would first remove the bracket in the numerator. This would allow us to reduce the fraction to lowest terms.
To clear the numerator's bracket, note that
[tex](2r^2t)^3=(2r^2t)\times(2r^2t)\times(2r^2t)\\=(2\times2\times2)\times(r^2\times r^2\times r^2)\times(t\times t\times t)\\=8\times r^6 \times t^3=8r^6 t^3[/tex]
that was long. The shorter way was to do the following
[tex](2r^2t)^3=2^3\times r^{2\times3}\times t^3=8r^6t^3[/tex]
so back to the original question, to simplify
[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]
we would do
[tex](\frac{(2r^2t)^3}{4t^2})^2=(\frac{2^3r^{2\times3}t^3}{4t^2})^2\\\\=(\frac{8r^6t^3}{4t^2})^2[/tex]
Now that we have removed the bracket from the numerator, we can now accomplish the step of reducing the fraction to lowest terms
[tex](\frac{8r^6t^3}{4t^2})^2=(\frac{8}{4}\times r^6\times \frac{t^3}{t^2})^2\\=(2\times r^6\times t^{3-2})^2\\=(2\times r^6\times t^1)^2\\=(2r^6t)^2[/tex]
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if a car uses one gallon of gas every 25 miles how much miles would he make with 8 gallons
Step-by-step explanation:
One gallon = 25 miles
8 gallon= 25×8 miles= 200 miles
A manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus 2X each week determine what the maximum revenue will be round your answer to two decimal places
Answer:
38.30
Step-by-step explanation:
because 230 -6x=0
The pic of the question is down below
Show all working
Answer:
GF ≈ 11.2HD ≈4.3∠HDE ≈68.8°Step-by-step explanation:
The relevant trig relations are ...
Tan = Opposite/Adjacent
Sin = Opposite/Hypotenuse
These tell us ...
tan(43°) = GH/DG
GH = DG·tan(43°) = (12 cm)·tan(43°) ≈ 11.2 cm
and ...
sin(HDE) = EH/ED = (11.2 cm)/(12 cm)
∠HDE = arcsin(11.2/12) ≈ 68.8°
The length HD can be found from ...
tan(68.8°) = HE/HD
HD = HE/tan(68.8°) = (11.2 cm)/tan(68.8°) ≈ 4.3 cm
_____
Additional comments
The values shown in the solution here are rounded according to the problem statement. The values actually used in the calculations are the full-precision calculator values. Rounding is only done on the final answers.
help me please.........
Answer:
the answer is 10,700 :)
Step-by-step explanation:
Find the slope between (-4,9)and(-2,8)
Answer:
-1/2
Step-by-step explanation:
Tell me if you want a step by step.
Hope this helps. :)
Answer:
-1/2
Step-by-step explanation:
Use mental math to find the partial products 3,000 x 5=
Answer:
15,000
Step-by-step explanation:
3 times 5 is 15, just add the 3 zeros.
15,000 is the partial product of 3000*5.
What is partial products?A partial product is a product obtained when we multiply a multiplicand by one digit of a multiplier that has more than one digit.
Given that, 3000*5
3000*5 = 15000
Hence, the partial product of 3000*5 is 15000.
For more references on partial product, click;
https://brainly.com/question/24716925
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(x+a)^2 -7 = x^2 +10x +b
Work out the value of a and b.
Answer:
(x+a)²-7=x²+10x+b
simplifying,we get
x²+2ax+a²-7=x²+10x+b
the coefficient of x on both sides should be equal
therefore
2a=10
a=10/2=5
also for b
a²-7=b
5²-7=25-7=b
b=18
a=5
51 samples were analyzed, and the sample mean was 9.7 ounces. Can you determine the standard deviation of the sample
Using the Central Limit Theorem, it is found that the standard deviation for the sampling distribution of sample means is given by:
[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].
In which [tex]\sigma[/tex] is the population standard deviation.The Central Limit Theorem states that, the sampling distribution of sample means of size n, from a population with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], has mean [tex]\mu[/tex] and standard deviation, which is also called standard error, [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this question, 51 samples, hence, [tex]n = 51[/tex]
Hence, applying the Central Limit Theorem, the standard deviation for the sampling distribution of sample means is given by:
[tex]s = \frac{\sigma}{\sqrt{51}}[/tex].
In which [tex]\sigma[/tex] is the population standard deviation.A similar problem, which also involves the Central Limit Theorem, is given at https://brainly.com/question/24663213
Marco is making rice but wants to decrease the recipe to make less.
Which fraction could he multiply his ingredient amounts by in order to produce less rice?
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
is it correct?
or not
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation
(-9,- 4); y = - 3x + 5
Write an equation for the line in slope-intercept form
(Simplify your answer. Use integers or fractions for any numbers in the equation)
Step-by-step explanation:
the general slope intercept form is
y = ax + b
a is the slope. a parallel line must have the same slope.
in our case here it is -3.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b :
-4 = -3×-9 + b = 36 + b
b = -40
so, the full equation of the parallel line is
y = -3x - 40
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Answer:
\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]
Step-by-step explanation:
The first one.
How to solve absolute value inequalities.
Answer:
I cant even see anything can you reupload your answer, please?
Step-by-step explanation:
How to turn improper fractions into mixed numbers.
Answer:
To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator. Let us see an example of this conversion
Step-by-step explanation:
Convert 23/4 into a mixed fraction
you are making a blueprint of your bedroom and you plan to use a scale factor of 1/8. The actual width of your room is 14 fret and the actual length of your room is 16 feet. Determine the length and width of your room in the blueprint.
Answer:
1.75 feet in the blueprints for the width
2 feet in the blueprints for the length
Step-by-step explanation:
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Answer the following giving reasons or steps. A 175 degree angle is bisected . What are the values of the new angles formed ?
The values of the new angles formed measure 87.5° each.
Angles are formed by the intersection of two lines sharing a common endpoint.
Bisect means to divide into two equal parts. Bisection of an angle is to divide an angle into two equal parts.
Given a 175 degree angle is bisected, the measure of each angle is:
Measure of each angle = 175 / 2 = 87.5°
The values of the new angles formed measure 87.5° each.
Find out more at: https://brainly.com/question/1921910
Laura has $96 to divide between her 3 friends. How much money does each friend get?
Answer: EACH FRIEND GETS 32 DOLLARS
Step-by-step explanation:
DIVIDE 96 BY 3
Answer:
$32
Step-by-step explanation:
Divide 96 to 3
96 ÷ 3
= $32
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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-4 ( x -2 ) = -2 ( x -17/2 ) how many solutions does it have? No need to solve, just how many solutions does it have
Answer:
One Solution
x = -9/2
Step-by-step explanation:
Who many can fill it ?
Answer:
6×3×4= 72 unit cubes
................................
Is x+y=10 linear or non
Answer:
Not
Step-by-step explanation:
In this case, the degree of variable y is 1 , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.