Answer: 27 cm
Step-by-step explanation:
We know that the volume of a cylinder is [tex]V=\pi r^2h[/tex]. Since we were given the volume and radius, we can plug them in and solve for height.
[tex]675\pi =\pi (5^2)h[/tex] [divide both sides by π]
[tex]675 = (5^2)h[/tex] [exponent]
[tex]675=25h[/tex] [divide both sides by 25]
[tex]h=27[/tex]
Now, we know that the height is 27 cm.
Which statements are true regarding f(x)=10/x+5
? Check all that apply.
The domain of f(x) is (–∞, –5) U (–5, ∞).
The range of f(x) is (–∞, 2) U (2, ∞).
The x-intercept is at (–5, 0).
The y-intercept is (0, 2).
There is a vertical asymptote at x = –5.
The end behavior is x → –∞, f(x) → 0 and x → ∞, f(x) → 0.
For the function [tex]\frac{10}{x + 5}[/tex] , we can say
The domain of f(x) is (–∞, –5) U (–5, ∞).
The y-intercept is (0, 2).
There is a vertical asymptote at x = –5.
The end behavior is x → –∞, f(x) → 0 and x → ∞, f(x) → 0.
What is a function?A mathematical relationship from a set of inputs to a set of outputs is called a function.
What is domain of a function?The domain of a function is the set of all possible inputs for the function.
What is range of a function?The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs
What is asymptote?An asymptote is a straight line that can be horizontal, vertical or oblique that goes closer and closer to a curve which is the graphic of a given function.
What is intercept?An intercept of any function is a point where the graph of the function crosses, or intercepts, the x-axis or y-axis.To find the x-intercept we need to do y = 0To find the y-intercept, we need to do x = 0How to know the domain of function?The given function is [tex]\frac{10}{x + 5}[/tex]
Now, if x = -5 then the function becomes undefined.
∴ The domain of the function is all real numbers except -5
So, The domain of f(x) is (–∞, –5) U (–5, ∞).
So, option a is correct.
How to know the range of the function?Clearly, the range of the function includes all real numbers
So, option B is wrong
How to find the x-intercept?To find the x-intercept , we will have to solve f(x) = 0, which is not at all possible for this function.
So, option C is wrong
How to find the y-intercept?To find the y-intercept, we need to do x = 0So, putting x = 0 in the function we get f(x) = 2
So, the y- intercept is (0, 2).
So, option D is correct.
How to find vertical asymptote ?To find the vertical asymptote, we need to make the denominator = 0∴ x+ 5 = 0
∴ x = -5
So, there is a vertical asymptote at x = –5.
Hence option E is correct.
How to find the end behavior?We can see,
As x tends to -∞, x + 5 will also tend to -∞We know that a number divided by ∞ or -∞ becomes 0So, as x tends to -∞, f(x) will tend to 0
So, Option F is correct.
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Answer:
ADEF
Step-by-step explanation:
ADEF
What is the property of (4y + 1) x 0 =0
Answer: Zero Property
Step-by-step explanation:
Please Help A) Find the perimeter B) The area of the rectangle
Answer:
A) 36.2m B) 70m
Step-by-step explanation:
5.6m + 5.6m = 11.2 m
12.5 + 12.5= 25 11.2 + 25 = 36.2m
Length x width equals area
12.5m = length and 5.6m= width
multiply 12.5 x 5.6= 70m
The value of -31.45/-3.21 is around?
James has 1,836 marbles. He decides to divide them equally among 23 boxes. How many marbles will James have left over?
Answer:
79.8260869565
Step-by-step explanation:
When dividing 1,836 by 23= 79.8260869565
A rectangle is 3 times as long as it is wide. The perimeter is 24 feet. Find the dimensions.
Answer:
Width is 3 units, The Length is 9 units.
Step-by-step explanation:
Three times as much as 3, or 9, is how you find the lengths. This being- 3+3=6 and 9+9=18, 6+18=24, which is the perimeter, therefore 3 and 9 are the dimensions.
Evaluate =f(×) r 6x-2 for f (2a-3)
Answer:
[tex] \boxed{\sf f(2a - 3) = 12a - 20} [/tex]
Step-by-step explanation:
Function given:
⇒f(x) = 6x - 2
Substitute 2a - 3 into the function in place of x:
⇒f(2a - 3) = 6(2a - 3) - 2
Expand bracket:
⇒f(2a - 3) = 12a - 18 - 2
Add the like terms:
⇒f(2a - 3) = 12a - 20
A candy store sells mints in 14, 12 , and 34 lb packages. John purchases several packages of each weight.
What is the weight of 6 packages of the 14 lb package?
Answer:
84 lbs
Step-by-step explanation:
Multiply 14*6 to get the total weight
Which of the following inequalities is incorrect?
00>-2
6 >-12
-5<-8
0-7<-5
Step-by-step explanation:
First, is 0 greater than -2? Correct
Next, is 6 greater than -12? Correct
Is -7 less than -5? Correct
Finally, is -5 less than -8? NERP!!
So C. is incorrect. Or in this case, it is...
The rate of auto thefts doubles every 5 months.
(a) Determine, to two decimal places, the base b for an exponential model y = Abt of the rate of auto thefts as a function of time in
months.
(b) Find the tripling time to the nearest tenth of a month.
months
I think first one is the answer
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What is the equation shown in standard form of the line shown on the graph?
O x = 4
O y = 4
O x - y = 4
Answer:
[tex]y = 4[/tex]
Step-by-step explanation:
Because no matter what value x is, y is always 4
Please help. Don’t understand this math problem
Answer:
-24r + 56
Step-by-step explanation:
To find the area of this rectangle we multiply width and length
8 × (-3r + 7) = -24r + 56
Assuming that a local cost cutter provides cuts perms and hair styling service and you fix cost are $120,000 in the variable cost or 40% of the sales revenue last year’s revenue total of $250,000. What is the break even points in sales dollars?
Answer:
Unit selling price
$7 $9 $7
Unit variable costs
(4) (5) (1)
Unit contribution margin
$3, $4, $6
With monthly fixed costs of $306,000, the company sells two units of A for each unit of B and three units of B for each unit of C.
what value of x makes this equation true X over 3 = 24
Answer:
x=72
Step-by-step explanation:
Start with [tex]\frac{x}{3}[/tex]=24
Using the multiplication property of equality, multiply each side by 3
x=72
The manufacturer of pencils spends $0.05 to make each pencil and sells them for 0.25. The manufacturer also has fixed
costs each month of $2000. Find the number of pencils x that the manufacturer needs to sell in order to break even
Answer:
x=10000
Step-by-step explanation:
The break even point occurs when costs equal revenue. Write the break-even formula and solve to find
C(x)0.05x−20000.2xx=R(x)=0.25x=2000=10000.
Is the following number an integer?
30/6
Answer:
NO ! For 30, the answer is: No, 30 is not a prime number. The list of all positive divisors (i.e., the list of all integers that divide 30) is as follows: 1, 2, 3, 5, 6, 10, 15, 30.
Step-by-step explanation:
CE is an angle bisector of angle ACB.
If m angle ACE = 2x - 15 and m angle ECB = x +5,
determine the value of x.
Answer:
x = 20
Step-by-step explanation:
[tex] \because \overrightarrow {CE}[/tex] is an angle bisector of[tex] \angle ACB. [/tex]
[tex]\therefore m \angle ACE = m \angle ECB\\ 2x - 15 = x + 5 \\ 2x - x = 15 + 5 \\ \huge \orange{ x = 20}[/tex]
The value of x from the angle bisector is: x = 20
How to find the value of the angle bisector?Angle bisector theorem is a theorem in geometry that states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle. An angle bisector is a ray that divides a given angle into two angles of equal measures.
Thus, we can say that:
∠ECB = ∠ACE
Thus:
x + 5 = 2x - 15
2x - x = 15 + 5
x = 20
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which decimal is less than 0.8 and greater than 0.02
Answer:
0.02<x<0.80
0.4
Step-by-step explanation:
0.02 is equal to 2/100 and 0.8 is equal to 80/100
so you could really choose any number between 0.03 and 0.79
Answer:
Less than 0.8 and greater than 0.02
0.8 > a > 0,02
There are many decimals:
0.7
0.67
0.6
0.5
0.4
0.3
0.2
0.1
0.023
0.021
and many others
The triangle shown is rotated 90 counterclockwise about the orgin what are the new coordinates of point A
Answer:
its A (2, 1 ) → A'(- 1, 2 )
Step-by-step explanation:
took test :)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
What is rotation?Rotation can be stated as the circular movement over the object around the center.
Rotation can be done in both directions like clockwise as well as counter clockwiseIt requires rotation implies negative magnitudeA counter clockwise turns has a positive magnitude.here, we have,
given that,
Vertices of triangle = A(1,1) , B(3,4), C(6,3)
Triangle is rotated counterclockwise about the origin 90°.
In counterclockwise rotation (x,y) becomes (-y,x)
Then
the new coordinates of triangle are A', B', C'
A(1,1) = A'(-1,1)
B(3,4) = B'(-4,3)
C(6,3) = C'(-3,6)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
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Help me please thanks
Answer: B. M= 6
Step-by-step explanation:
4(6-1)-5=2(6)+3
The first part of the equation, 4(6-1)-5, 6-1 is 5 and then you multiply that 5 by 4 and get 20, and subtract 5 from 20 and get 15. The second part, 2(6)+3, 6 x 2 is 12 and then you add 3 which equals 15. 15=15 so the answer is correct
The price of a stock was $325 a share. The price of the stock went down $25 each week for 6 weeks what was the price of that stock at the end of 6 weeks?
Answer:325 - (25 x 6 ) = $175
Step-by-step explanation:
Find the sum of the squared residuals for each potential line of fit, and then determine which potential line is the true line of best fit. Equation 1 Square of residual .28 .167 .19 Equation 2 Square of residual .005 .110 .09 Equation 3 Square of residual .125 .125 .26 Equation 4 Square of residual .212 .009 .08 Question 8 options: Equation 4 Equation 1 Equation 3 Equation 2
Answer: Equation 2
Step-by-step explanation:
Equation 1 Square of residual .28 .167 .19
Sum of Square Residual :
( .28 + .167 + .19) = 0.637
Equation 2 Square of residual .005 .110 .09
Sum of Square Residual :
(.005 + .110 + .09) = 0.205
Equation 3 Square of residual .125 .125 .26
Sum of Square Residual :
( .125 + .125 + .26) = 0.51
Equation 4 Square of residual .212 .009 .08
Sum of Square Residual :
( .212 + .009 + .08) = 0.301
Equation 2 is the best potential line of best fit as it has lowest value of sum of square residual. And the best line of fit is one which the sum of Squared error is lowest.
Answer the questions below.
2.
(a) The area of a rectangular parking lot is 6370 m
If the width of the parking lot is 65 m, what is its length?
Graph the linear equation by finding its intercepts.
3x + 6y = 18
OMG! I just answered the wrong question... so sorry
fill in the table using the function rule: y=1 + 4x
Answer:
13, 25, 37, 41
Step-by-step explanation:
By plugging each x value given for x, you are able to solve for y. Just multiply x by 4 and add 1.
What is the value of the digit 5 in the number 4.105
Answer:
thousanths place
Step-by-step explanation:
Answer:
4.105
5-hundredths place if I’m correct
A box of books weighs 4.10 kg for every meter of it's height. Convert this ratio into pounds per foot.
Answer:
The ratio is k = 2.76 pounds / foot
Step-by-step explanation:
From the question we are told that
For 1 m height => 4.10 kg mass
generally 1 meter = 3.28084 feet
Also
1 kg = 2.20462 pound
4.10 kg = x pounds
So
[tex]x = \frac{4.10 * 2.20462}{1 }[/tex]
=> [tex]x = 9.04 \ pounds[/tex]
So
9.04 pounds = 3.28084 feet
z pounds = 1 foot
So
[tex]z = \frac{ 9.04 * 1 }{ 3.28084}[/tex]
=> z = 2.76 pounds
So the ratio is in pounds per foot is
k = 2.76 pounds / foot
Given AD = BC and AD parallel BC Prove ABCD is a parallelogram proof
Answer: the ABC is up illogic of the Paul Graham that makes the box square root to DC=BA
Step-by-step explanation:
Statements Reasons
1. AD ≅ BC; AD ∥ BC 1. given
2. ∠CAD and ∠ACB are alternate interior ∠s 2. definition of alternate interior angles
3. ∠CAD ≅ ∠ACB 3. alternate interior angles are congruent
4. AC ≅ AC 4. reflexive property
5. △CAD ≅ △ACB 5. SAS congruency theorem
6. AB ≅ CD 6. Corresponding Parts of Congruent triangles are Congruent (CPCTC)
7. ABCD is a parallelogram 7. parallelogram side theorem
Help solve step by step please? 3/7➗4/5=
Answer:
15/28
Step-by-step explanation:
Step-by-step explanation:
3/7 divided by 4/5
Find the reciprocal of 4/5 which is 5/4
Multiply 3/7 by 5/4
3*5= 15 which is the numerator
7*4=28 which is the denominator
so the final answer is 15/28
Which of the following trinomials could represent the product (x + m)(x + n) if m = 5 and n = -7? A x2 + 2x - 35 B x2 - 12x - 35 Cx2 + 35x + 2 D x2 - 2x - 35
Hey there! I'm happy to help!
Let's plug in these values.
(x+5)(x-7)
We use the FOIL method to multiply the two.
We multiply the Firsts.
x·x=x²
We multiply the Outsides.
-7·x=-7x
We multiply the Insides.
5·x=5x
And we multiply the Lasts.
-7·5=-35
We combine these all.
x²-7x+5x-35
x²-2x-35
Have a wonderful day! :D