Answer:
2.6 in
Step-by-step explanation:
From the question given above, the following data were obtained:
Volume (V) of cylinder = 258¾ in³
Height (h) of cylinder = 12 in
Radius (r) =.?
NOTE: Pi (π) = 3.14
The radius of the cylinder can be obtained as follow:
V = πr²h
258¾ = 3.14 × r² × 12
258.75 = 37.68 × r²
Divide both side by 37.68
r² = 258.75 / 37.68
Take the square root of both side
r = √(258.75 / 37.68)
r = 2.6 in
Therefore, the radius of the cylinder is 2.6 in.
Select the correct answer.
Which function has an inverse function?
OA. F(x) = |x-4|+ 1
OB. F(x) = 25x^2+70x+49
OC. F(x) = x^4
OD. F(x) = x+3/7
In the given functions, the function f(x) = x+3/7 is a inverse function.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function should be bijective function ( one-to-one and onto) to be a inverse function.
f(x)=|x-4|+1
It is absolute function. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [1,∞)
So the function f(x)=|x-4|+1 is not inverse.
f(x) = 25x²+70x+49
It is quadratic function. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [0,∞)
So the function f(x) = 25x²+70x+49 is not inverse.
f(x) =x⁴
It is polynomial function with even degree. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [0,∞)
F(x) = x+3/7
It is linear function. one-to-one and onto
Domain: All real (-∞,∞)
Range: All real (-∞,∞)
F(x) = x+3/7 is a inverse function.
Hence, in the given functions, the function f(x) = x+3/7 is a inverse function.
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What single decimal multiplier would you use to increase by 5% followed by a 20% increase?
Answer:
The single decimal multiplier is 1.26.
Step-by-step explanation:
Multipliers:
For a decrease of a%, we multiply by: [tex]\frac{100-a}{100}[/tex]
For a increase of a%, we multiply by: [tex]\frac{100+a}{100}[/tex]
For consecutive changes, we multiply the multipliers.
Increase of 5%
Multiply by [tex]\frac{100+5}{100} = \frac{105}{100} = 1.05[/tex]
Increase of 20%
Multiply by [tex]\frac{100+20}{100} = \frac{120}{100} = 1.2[/tex]
Consecutive:
1.05*1.2 = 1.26
The single decimal multiplier is 1.26.
Answer: 1.26
Step-by-step explanation:
look at the link below
it is helpful
the sales tax rate in new york city is 8.9%. Find the tax charged on a purchase of $208, and the total cost
Answer:
$18.51 tax
$226.51 total cost
Step-by-step explanation:
208 x 0.089 = 18.51 tax
By stips please ........
Answer:
6x + 3h
Step-by-step explanation:
F(X) = 3x^2
F(X+h) = 3(X+h)^2
then F(X+h) - F(X) / h
= 3(X+h)^2 - 3x^2 / h
= 3(x^2 + 2hx + h^2) - 3x^2 / h
= 3x^2 + 6hx +3h^2 - 3x^2 / h
= 6hx + 3h^2 / h
= h (6x +3h) / h
= 6x + 3h
I hope this answer is correct
A puddle originally contained 7.5 gallons of water. After a hot day, only 6 gallons of water remain. What is the percent decrease? Enter your answer in the box.
Answer:
20 percent
Step-by-step explanation:
7.5 gallons - 6 gallons = 1.5 gallons
[tex]\frac{1.5}{7.5}[/tex] × 100 = 0.2 × 100 = 20 %
Answer:
20%
Step-by-step explanation:
First, find how much decrease there was: 7.5 - 6 = 1.5
This means the decrease was 1.5/7.5. To convert this to percentage, divide 1.5 by 7.5:
1.5 ÷ 7.5 = 0.20
0.20 = 20% decrease
can someone help me on this ??
1. If a house cost $200,000 in Las Vegas in 2012 and there was a 20.7% increase in houses from 2012 to 2013, what is the price of the house in 2013.?
Answer:
$241,400
Step-by-step explanation:
House costs: $200,000
Percentage increase: 20.7%
This means that the cost of the house increased by that percentage from 2012 to 2013. Therefore the following,
200,000 x 20.7/100 = 41,400
So the value of the house increased by $41,400 in this year.
Now we add to evaluate the total price of the house in 2013.
200,000 + 41,400 = 241,400
House price: $241,400
The number of country A forces in country B decreased to approximately 34,000 in 2014 from a high of about 100,000 in 2008. The amount of country A funding for country B security forces also decreased during this period. The function f (x) = -1.330x + 5.149x +5.517 can be used to estimate the amount of country A funding for country B security forces, in billions of dollars, x years after January 2007. In what year was the amount of country A funding for country B security forces about $ 10.5 billion?
Answer:
2009
Step-by-step explanation:
The question can be interpreted as:
[tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]
Required
Determine x when f(x) = 10.5
Substitute 10.5 for f(x) in [tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]
[tex]10.5 = -1.330x^2 + 5.149x + 5.517[/tex]
Collect Like Terms
[tex]-1.330x^2 + 5.149x + 5.517-10.5=0[/tex]
[tex]-1.330x^2 + 5.149x -4.983=0[/tex]
Using quadratic formula
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -1.330[/tex]
[tex]b = 5.149[/tex]
[tex]c = -4.983[/tex]
[tex]x = \frac{-5.149 \± \sqrt{5.149^2 - 4*-1.330*-4.983}}{2*-1.330}[/tex]
[tex]x = \frac{-5.149 \± \sqrt{0.002641}}{-2.660}[/tex]
[tex]x = \frac{-5.149 \± 0.0514}{-2.660}[/tex]
Split:
[tex]x = \frac{-5.149 + 0.0514}{-2.660}\ or\ x = \frac{-5.149 - 0.0514}{-2.660}[/tex]
[tex]x = \frac{-5.0976}{-2.660}\ or\ x = \frac{-5.2004}{-2.660}[/tex]
[tex]x = 1.92\ or\ x = 1.96[/tex]
Both values of x approximates to 2.
So:
[tex]x = 2[/tex]
2 years after 2007 is 2009.
Hence, the funding is about $10.5 billion in 2009
is 1.150 and 1.15 the same? (ANSWER QUICKLY)
Yes because the 0 at the end is just a place holder basically so 1.150 and 1.15 are the same
Tell me if you know
Answer:
Historians generally recognize three motives for European exploration and colonization in the New World: God, gold, and glory.
please help, I'll give the correct answer brainliest.
find c and d. show your work.
9514 1404 393
Answer:
c = 6√2
d = 12
Step-by-step explanation:
The sides of any isosceles triangle (opposite the congruent angles) are congruent. Hence c = 6√2.
The hypotenuse of an isosceles right triangle is √2 times the side length, so ...
d = c√2 = (6√2)(√2) = 6·2
d = 12
__
If you don't believe that, you can always use the Pythagorean theorem to find d:
d^2 = (6√2)^2 +c^2
d^2 = 72 +72 . . . . . . . . . since c=6√2
d = √144
d = 12
Equation: w = 112 + 8t Which input results in an output of 176? What is the output in the ordered pair (4, 144)?
9514 1404 393
Answer:
8144Step-by-step explanation:
Generally, the single variable on the left side of the equation is the "output" or dependent variable, while any other variables on the right side of the equation are considered to be independent variables, or "input."
So, we assume your first question is asking for the value of t that makes w=176. Put the values in the equation and solve for the unknown.
w = 112 +8t
176 = 112 + 8t
64 = 8t . . . . . . . subtract 112
8 = t . . . . . . . . . divide by 8
The input for an output of 176 is 8.
__
Ordered pairs are always written as ...
(input, output)
So, (4, 144) means the output is 144 for an input of 4.
Answer:
8
144
Step-by-step explanation:
I WILL MARK BRAINLIEST
Linh has red, white, and black shirts. She has khaki, black, and white pants. She does not wear the same color shirt and pants together and does not wear white with black. Can she make 8 outfits?
a
Yes
b
No
Answer:
b) no
Step-by-step explanation:
let's put all these options in columns to visualize:
shirts: pants:
red khaki
white black
black white
now i'll list all the combos without matching colors (shirt, pants)
red, khaki;
red, black;
red, white;
white, khaki;
white, black;
white, white;
black, khaki;
black, black;
black, white;
now, we need to get rid of any combos that consist of the same color and combos that consist of black and white paired together.
and we're left with:
red, khaki;
red, black;
red, white;
white, khaki;
black, khaki;
that's only 5 options, so no, she cannot make 8 outfits
Definition: This is a number whose value we are trying to figure out. It is often represented by a letter or
some other symbol.
Answer:
deed
Step-by-step explanation:
PLEASE HELPP!!
So frustrated does evaluate mean to find the value? So confused.
Answer:
yes it does
a. 27
b. -32
Step-by-step explanation:
a. 3 times 3 times 3 = 27
b. -2 times -2 times -2 times -2 times -2= -32
hope this helps!!
4. What's the least common multiple of each group of numbers?
a. 5 and 6
b. 2 and 9
C. 6 and 8
d. 2,5, and 6
Answer:
5 and 6: 30
2 and 9: 18
6 and 8: 48
2, 5, and 6: 30
Calculate the value of x
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
Which of the following linear functions has the greatest rate of change?
Answer:
A
Step-by-step explanation:
A is the answer because its rate of change is 3 while the rest are smaller than that
An electronics retailer is developing a model for insurance on new cell phone purchases. It estimates that 60% of customers never make a claim25% require a small repair costing an average of $50and 15% require a full refund costing $200. What is the average cost the retailer should expect to pay to each customer?
Answer:
$42.50
Step-by-step explanation:
$42.50 will cover the costs of all people who request full refunds, while still allowing the company to profit.
The average cost the retailer should expect to pay to each customer if It estimates that 60% of customers never make a claim is $4250.
What is average?The average is a numeric figure that represents a big amount of data in a single way. The average mark of the class is calculated by averaging the students' grades in a given subject.
It is more important to understand how the class as a whole performed than how each individual student performed.
Given:
It estimates that 60% of customers never make a claim, 25% require a small repair costing an average of $50 and 15% require a full refund costing $200,
Calculate the average cost as shown below,
Assume there are 100 customers, then,
The average cost = 25% of 100 × 50 + 15% of 100 × 200
The average cost = 25 × 50 + 15 × 200
The average cost = 1250 + 3000
The average cost = 4250
Thus, the average cost the retailer should expect to pay to each customer is $4250.
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I have to find the domains of these functions and write the answer in interval notation.
Answer: 2,5
Step-by-step explanation:
In order to find the domain of a function, check the function for two conditions:
a zero in a denominator
a negative under an even root
Exclude the values at which the function satisfies either or both of these conditions from its domain.
G(x) has no root but it does have a denominator. Therefore, check the first condition by setting the denominator equal to zero and excluding those solutions from the domain.
x2 - 7x + 10 = 0
(x - 2)(x - 5) = 0
x = 2, 5
what is the solution to the equation y=2x+5
Answer:
x = -5/2
Step-by-step explanation:
y= 0
I dont know but i believe this is it.
Answer:
2x-y=-5
Step-by-step explanation:
y=2x+5
-2x+y=5
-(-2x+y=5)
answer: 2x-y=-5
Which inequality has an arrow pointing to the left when the solution set is graphed on a number line
Answer:wheres the pic
Step-by-step explanation:
No pic, no answer (sorry)
Answer:
Χ<5
Step-by-step explanation:
<__________________0__
-4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6
Sorry I can't put the circle and the arrow on the line. I hope you get the idea.
All the numbers to the left of +5 are included as numbers that x could be.
MAY SOMEONE PLEASE HELP ITS URGENT!!
Answer:
both are 79
Step-by-step explanation:
Elena needs 1/4 meter of ribbon to decorate the border of a photo frame.
Enter the number of photo frames that can be decorated using 3/4 meter of ribbon.
Answer:
3 photo frames
Step-by-step explanation:
1 frame uses 1/4 meters. You can solve this as a proportion. 1 is to 1/4 and x is to 3/4. 1/4 x 3 is 3/4. So multiply 3 x 1 as well. You get 3.
Hope it helps!
Classify the following polynomials by the number of terms and degrees
-2x^3 +5x
Answer:
A third degree binomial
Step-by-step explanation:
The highest power is 3 hence the 3rd degree
and there are 2 terms hence the bi-nomial
How much is 78 divided by 4 ?
Answer:
19.5 my bro!
Step-by-step explanation:
Answer:
19.5 just put it in the calculator
MARKING PEOPLE AS BRAINLIST
Which Additional fact would prove that quadrilateral WXYZ is a parallelogram?
Answer:
A
Step-by-step explanation:
Please help me with this, I have to turn it in today and I’ll give Brainly. please only answer if you know the answer...this is very important
The arcs on the Golden Gate Bridge.
I think about the Golden Gate Bridge, which is a suspension bridge.
As in any suspension bridge, a long cable is supported by two large supports.
The cable falls from support, in the form of a curve concave upwards, to a minimum point that is the vertex of the parabola, through which the axis of symmetry passes, and curves again upwards to ascend to the upper end of the other support.
As a unique feature of this parabolic arc, you can tell that the concavity is upward; the parabola opens upward.
Also, you can tell that the parabola is vertical, which means that the axis of symmetry is vertical.
The symmetry is clear because the curve to the left of the vertex is a mirror image of the curve to the right of the vertex. Hope I helped, have a good day!
When the radius of a sphene is doubled what is the resulting change in volume?
Answer:
3rd power
Step-by-step explanation:
When the radius of the sphere was doubled it doubled 8 times . it raised so much because of the third power.
Glad I could help (Maybe)
If two angles of a triangle have measures of 42° and 20°, what is the measure of the third? A. 118° B. 98° C. 108° D. 128°
Answer: The text also states, “And her friends told her afterwards that she had spoken in a very loud voice, not shouting, just a very loud voice” (p.2). This proves that Celeste took a risk standing up to the teacher in a firm voice; her actions show that she believed the risk of getting in trouble was worth it to stop the Teacher’s unfair punishment.
Step-by-step explanation: