Answer:
Step-by-step explanation:
Assume that the cup is a cylinder of height 9 cm and radius 2.5 cm.
The side area is A = (circumference)(height), or A = 2πrh, which here is:
A = (3.14)(2)(2.5 cm)(9 cm) = 141.37 cm²
and
The area of the bottom is A = πr², or (here) A = (3.14)(2.5 cm)² = 19.63 cm²
Adding together the area of the sides and the area of the bottom, we get
Total area of cup = 141.37 cm² + 19.63 cm² = 161 cm²
What is the mean of the given data set. 39,82,74,96,64,52,74
Hey there!
Another word for the mean is the average. To find the mean in a set of numbers, you add up the numbers and then divide by the number of numbers!
39+82+74+96+64+52+74=481
Now, we see that we have seven numbers. So, we divide by seven!
481/7≈68.71 (rounded to nearest hundredth)
I hope that this helps!
A taxi cab company charges a flat amount of $5.00 plus a rate of $3.00 per mile traveled. Part A: If the total cost of the fare was $41.00, then which of the following equations can be used to determine the number of miles traveled, x?What is the total number of miles traveled, x, if the fare was $41.00?
Answer:
5 + 3x = 41
x = 12 miles
Step-by-step explanation:
A taxi cab company charges a flat amount of $5.00 plus a rate of $3.00 per mile traveled.
Let x is the number of miles traveled.
If the total cost of the fare was $41.00 then
5 + 3x = 41 eq. 1
The above equation can be used to determine the number of miles traveled.
Solving the equation for x,
5 + 3x = 41
3x = 41 - 5
3x = 36
x = 36/3
x = 12 miles
Therefore, 12 is the total number of miles traveled if the fare was $41.00.
What is the value of x in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
Answer:
C. 7.2
Step-by-step explanation:
Hope it helps you in your learning process.
Let p=x^2-2p=x 2 −2p, equals, x, squared, minus, 2. Which equation is equivalent to (x^2-2)^2+18=9x^2-18(x 2 −2) 2 +18=9x 2 −18left parenthesis, x, squared, minus, 2, right parenthesis, squared, plus, 18, equals, 9, x, squared, minus, 18 in terms of ppp ?
Question:
Let [tex]p=x^2-2[/tex] .
Which equation is equivalent to in terms of p ?
Answer:
[tex]p^2+18=9p[/tex] or [tex]p^2+18 - 9p = 0[/tex]
Step-by-step explanation:
Given
[tex]p=x^2-2[/tex] .
Required
Find the equation equivalent to [tex](x^2-2)^2+18=9x^2-18[/tex]
To get the equation equivalent to the given expression, we simply simplify [tex](x^2-2)^2+18=9x^2-18[/tex] and solve in terms of p
[tex](x^2-2)^2+18=9x^2-18[/tex]
Factorize expression on the right hand side
[tex](x^2-2)^2+18=9(x^2-2)[/tex]
Substitute [tex]x^2 - 2[/tex] for p
[tex](x^2-2)^2+18=9(x^2-2)[/tex] becomes
[tex]p^2+18=9p[/tex]
Hence, equation [tex]p^2+18=9p[/tex] is equivalent to [tex](x^2-2)^2+18=9x^2-18[/tex]
Solving further to get the value of p
[tex]p^2+18=9p[/tex]
Subtract 9p from both sides
[tex]p^2+18 - 9p = 9p - 9p[/tex]
[tex]p^2+18 - 9p = 0[/tex]
Rearrange
[tex]p^2 - 9p +18 = 0[/tex]
Factorize
[tex]p^2 - 6p - 3p +18 = 0[/tex]
[tex]p(p - 6) - 3(p -6) = 0[/tex]
[tex](p - 3)(p -6) = 0[/tex]
p - 3 = 0 or p - 6 = 0
p = 3 or p = 6
Answer:
p^2-18+9p=0
Step-by-step explanation:
Khan
h(x)=x-4 Determine whether it is in the domain of h or not.
Answer:
-4
Step-by-step explanation:
Answer: im pretty sure it is a domain
Step-by-step explanation:
f (x) = 3x^2 - 7x - 32
What is the value of f(-4)?
Answer:
f (-4) = 3x(-4)^2 - 7x(-4) - 32 = 44
Step-by-step explanation:
you should replace every x with the number given which is here equals -4
Which equation can be used for x in the following diagram?
Answer:
x+ 4x-85 = 90
Step-by-step explanation:
The two angles are complementary so they add to 90 degrees
x+ 4x-85 = 90
Combine like terms
5x - 85 = 90
Add 85 to each side
5x = 175
Divide by 5
5x/5 =175/5
x =35
Answer:
x (4-85) = -81x
Step-by-step explanation:
Equation: x (4-85)
Answer: x (4-85)
1: Find the missing side
2: add the other numbers
Hope this helps.
6/7 times 3/4=?????????
Answer:
[tex] \frac{9}{14} [/tex]
Step-by-step explanation:
times top numbers and bottom numbers
6 × 3 = 18
7 × 4 = 28
18/28
*simplify*
9/14
Explain how you would create an equation from a graph of a line representing a scenario.
Answer:
Find two points on the line and write them out: (x1,y1) (x2,y2)
Use this formula: y2-y1/x2-x1
The answer you get is the slope which is "m" in y=mx+b
Now in y=mx+b plug in one point's y into y and x into x.
Find b
Answer:
Use points from the graph to create a table of data points. Then find a rule for the data in the table and write an equation that represents that rule. Lastly, check that the equation holds true for other data points in the table or graph.
Step-by-step explanation:
What is the value of x?
Please find attached
Answer:
9,450,000 red cars
Step-by-step explanation:
35,000,000/100=350,000
27*350,000=9,450,000
Is every trapezoid a rectangle
Answer:
No, a trapezoid is not a rectangle.
This is because trapezoids by definition have only one pair of parallel sides while rectangles must have at least two sets of opposite parallel sides. Also, trapezoids do not have 90 degrees at every angle like rectangles do.
Write an equation of the line that passes through (2,−3) and is perpendicular to the line y=−2x−3.
i dont understand your question
Find the coordinates of the point for the reflection.
(−4, 8) across the x-axis
The coordinates of the reflection are
Answer:
The point after the reflection: [tex](-4,-8)[/tex]
Step-by-step explanation:
-Statement: If you reflect the point [tex](x,y)[/tex] across x-axis or the y-axis, then the [tex]x[/tex] and the [tex]y[/tex] of the point can change either positive, negative or the same, depending on where the point is located on a graph.
-So, if you reflect the point [tex](-4,8)[/tex] across x-axis, then the point after the reflection, would be [tex](-4, -8)[/tex] :
The following point: [tex](-4, 8)[/tex]
The point after the reflection: [tex](-4,-8)[/tex]
Please help!! Thank you!
Answer: 84 ft
Step-by-step explanation:
Two fifths of the performance were sold out. There were 15 performances that were not sold out. a. How many performances were there? b. What was the ratio sold out to not sold out performances?
Answer:
25
2:3
Step-by-step explanation:
2/5 were sold out
5/5 - 2/5 = 3/5
That means 3/5 were not sold out
p = performances
there were 15 that were not sold out
3/5 * p = 15
Multiply each side by 5/3
5/3 *3/5 p = 15*5/3
p = 25
There were 25 performances
sold out to not sold out
2/5 : 3/5
Multiply by 5
2: 3
9. Find the area of the right triangle with
height of 3 2/3 feet and a base of 2 feet.
Step-by-step explanation:
Area= 1/2 * b*h
h= 3 2/3 = 11/3
Area = 1/2*2*11/3 = 11/3 square feet or 3 3/2 square feet
What is the volume of the cube shown? 2 1/4
Volume of a cube is Volume = S^3, where S is the length of one side.
Volume = 2 1/4^3 = 2 1/4 x 2 1/4 x 2 1/4 = 11 25/64 in^3
The answer is D.
Answer: 30 3/8
Step-by-step explanation:
A beach ball has a radius of 10 inches. Round to the nearest tenth
Enrollment in a dance studio has grown exponentially since the studio opened. A graph depicting this growth is shown. Determine the percentage rate of growth.
0.25%
1.25%
2.5%
25%
Answer:
Option (4). 25%
Step-by-step explanation:
The graph attached shows the exponential growth.
Let the graphed function is y = [tex](1+\frac{r}{100})^{t}[/tex]
Here 'r' = Rate of growth
t = Duration of time in years
y = enrollments after time 't' years
Graph shows at time 't' = 0 or initially number of enrollments = 20
After 8 years number of enrollments will be
120 = [tex]20(1+\frac{r}{100})^{8}[/tex]
[tex]\frac{120}{20}=(1+\frac{r}{100})^{8}[/tex]
6 = [tex](1+\frac{r}{100})^{8}[/tex]
log 6 = [tex]8\text{log}(1+\frac{r}{100})[/tex]
0.77815 = [tex]8\text{log}(1+\frac{r}{100})[/tex]
[tex]\text{log}(1+\frac{r}{100})[/tex] = 0.0972689
[tex](1+\frac{r}{100})=1.251[/tex]
[tex]\frac{r}{100}=0.251[/tex]
r = 25.1%
r ≈ 25%
Therefore, Option (4) will be the answer.
Answer:
25%
Step-by-step explanation:
did test and it was right
Determine the center and radius of the following circle equation:
x2 + y2 - 4x + 20y + 55 = 0
Step-by-step explanation:
x2 - 4x +4 -4 + y2 + 20y +100 -100 + 55=0
(x-2)2 + (y+10)2 =49
center:(2,-10)
r=7
Nguyen is decorating the room for her sister’s baby shower party. She is wrapping Vietnamese conical hats in baby prints tissue paper to decorate the tables and some shelves in the wall. Each hat has a diameter of 16 inches and a height of 9 inches. If she wants to wrap 21 Vietnamese hats, how much tissue paper will she need?
Answer:
She needs 301.8 in² of tissue paper.
Step-by-step explanation:
In order to calculate the amount of tissue paper she needs to make 21 hats, we need to find the area of each hat and multiply it by the total number of hats she wants to make.
Since the Vietnamese conical hats are hollow and don't have a base, we need to find the area of the it's lateral walls, this is given by the following expression:
lateral area = pi*r*l
r = d/2 = 16/2 = 8 in
We were given the height, but we need the slant height, therefore:
l = sqrt(r² + h²) = sqrt(8² + 9²) = sqrt(64 + 81) = sqrt(145) = 12.041 in
Then the lateral area is:
lateral area = pi*8*12.0141 = 301.8 in²
She needs 301.8 in² of tissue paper.
José can run 1 1/3 miles in 1/6 of an hour. How far can he run in one hour?
Answer:
8
Step-by-step explanation:
you multiply 1 1/3 by 6
f(x) = (x+2)^2+4 . what are the coordinates of the vertex?
Answer:
[tex](-2,\, 4)[/tex].
Step-by-step explanation:
To find the vertex of this parabola, start by rewriting it in the vertex form [tex]f(x) = a\, (x - h)^2 + k[/tex].
Start with the original expression:
[tex]f(x) = (x + 2)^2 + 4[/tex].
Note that in the vertex form, the sign in front of [tex]h[/tex] should be a minus. However, in [tex]f(x) = (x + 2)^2 + 4[/tex], the sign in front of [tex]2[/tex] is a plus. Since adding
[tex]f(x) = (x - (-2))^2 + 4[/tex].
Therefore:
[tex]h = -2[/tex],[tex]k = 4[/tex].Hence, [tex](-2,\, 4)[/tex] is the vertex of this parabola.
What’s the answer to this
Answer B
Step-by-step explanation:
2x+1+14
Answer:
B.)
Step-by-step explanation:
B)2x+15
The function h ( x ) = 1 x − 1 h ( x ) = 1 x - 1 can be expressed in the form f ( g ( x ) ) f ( g ( x ) ) , where g ( x ) = ( x − 1 ) g ( x ) = ( x - 1 ) , and f ( x ) f ( x ) is defined as:
Answer: f(x) = 1^(x + 1)
Step-by-step explanation:
we have that h(x) = 1^x
and h(x) = f(g(x))
This mean that we are evaluating the function f(y) in the point y = g(x)
where g(x) = x - 1
then:
f(g(x) = f(x - 1) = h(x) = 1^x
then we should have that:
f(x) = 1^(x + 1)
then:
f(x - 1) = 1^(x - 1 + 1) = 1^x
the radius of a circle is 2 in what is the length of the 45 arc?
Answer:
1.5707
Step-by-step explanation:
i solved it using the formula :
[tex]2\pi \times r \frac{45}{360} [/tex]
4 + d = -12
I need work and answer
WILL GIVE BRAINLIEST
Answer:
d= -16
Step-by-step explanation:
-16 +4=-12
Answer:
d=−16
Step-by-step explanation:
d+4−4=−12−4
d=−16
A container shapes like an inverted cone holds 96 cubic centimeters of water. The height of the cup is 14 centimeters. Find the length of the diameter?
Answer:
Cone Volume = (PI * radius^2 * height) / 3
96 cc = (PI * radius^2 * 14) / 3
(96 * 3) / (PI * 14) = radius^2
radius ^ 2 = 6.5480890872
radius = 2.5589234235
diameter = radius *2 = 5.117846847 cm
diameter = 5.12 cm (rounded)
Step-by-step explanation:
Please help! Correct answers only please!
You roll a 6-sided die two times.
What is the probability of rolling an odd number and then rolling a 3?
Simplify your answer and write it as a fraction or whole number.
Answer:
2/3
Step-by-step explanation:
There are 3 odd numbers in a dice which equals 1/2. Then there is 1/6 of a chance of rolling a 3. So it would be 1/2 + 1/6=4/6 which simplifies to 2/3.