Answer:
The first can.
Step-by-step explanation:
formula: Pi x diameter x height
1st can has a volume of 113.10
2nd can has a volume of 75.40
The graphs below have the same shape. Complete the equation of the blue
graph. Enter exponents using the caret (^); for example, enter x as X^2. DO
not include "G(x) =" in your answer.
The equation of the graph G(x) is (x - 4)^2 + 1.
We have given the graph below have the same shape.
We have to find the equation of the graph g(x).
We have to find the equation of g(x) by using the phase shifting.
What is the shifting of the graph?A shift is a rigid translation in that it does not change the shape or size of the graph of the function.
Here we can see that the vertex of the graph in f(x) is (0,0) and the
vertex of the graph is g(x) is (4,1)
Therefore [tex]x^2[/tex] is replaced by [tex](x-4)^2[/tex].
and is shifted upward one unit therefore we get
[tex]G(x)=(x-4)^2+1[/tex]
Therefore we get the graph of g(x)= (x - 4)^2 + 1.
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Answer:
20 Box.
The answer is B.
Step-by-step explanation:
Given information:
Each box is 60 cm^3.
Total Volumes boxes are 1200 cm^3.
Divide Total Box/Each Box.
[tex]1200/60=20 box[/tex]
Answer:
B
Step-by-step explanation:
Total volume 1200 divided by each box of 60 = 20 boxes
Option A has 16 boxes
Option B has 20 boxes
Option C has 30 boxes
Option D has 24 boxes
Therefore, the correct answer is B
6/7*(11/18-5/12) pls help: fraction form, please
Step-by-step explanation:
[tex] \frac{6}{7} \times ( \frac{11}{18} - \frac{5}{12} )[/tex]
[tex] \frac{6}{7} \times ( \frac{7}{36} )[/tex]
[tex] \frac{42}{252} [/tex]
4. Sarah moved 530,000 of her savings to a new investment account that earns 4% interest compounded quarterty. Write a function to model this situation, then find the amount of interest the account will earn after 12 years.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$530000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases} \\\\\\ A=530000\left(1+\frac{0.04}{4}\right)^{4\cdot t}\implies A=530000(1.01)^{4t} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{after 12 years}}{t=12}\implies A=530000(1.01)^{4(12)}\implies A=530000(1.01)^{48} \\\\\\ A\approx 854479.82~\hfill \underset{\textit{interest in the account}}{\stackrel{854479.82~~ - ~~530000}{\approx 324479.82}}[/tex]
Which inequality represents the sentence below?
HURRY
Two more than a number is less than 14. 2+
Answer:
2 + n < 14 is the inequality please
can somebody help me im confused
solve the equation
Check the picture below.
the assumption is that the graph keeps on going all the way to ±infinity.
Bear in mind that the interval notation is referring to the endpoints on the x-axis.
PLEASE HELP ASAP!!! WITH EXPLANATION IF POSSIBLE!!!!!!!!!
Two chords PQ and ST of length 6cm and 10cm respectively of a circle are parallel to each other and are on opposite side of its center. If the distance between PQ and ST is 5cm. Find the radius of the circle
Answer:
Draw two parallel chords AB and CD of lengths 5 cm and 11 cm. Let the center of the circle be O. Join one end of each chord to the center.
Draw two perpendiculars OM and ON to AB and CD, respectively, which bisects the chords.
Two chords AB and CD of lengths 5 cm and 11 cm respectively of a circle are parallel to each other and are on opposite sides of its center. If the distance between AB and CD is 6 cm, find the radius of the circle.
Thus, MB = 2.5 cm and ND = 5.5 cm [The perpendicular drawn from the center of the circle to the chords bisects it.]
Let OM = x and ON = 6 - x
Consider ΔOMB
By Pythagoras theorem,
OM2 + MB2 = OB2
x2 + 2.52 = OB2
x2 + 6.25 = OB2..................(1)
Consider ΔOND
By Pythagoras theorem,
ON2 + ND2 = OD2
(6 - x)² + 5.52 = OD2
36 + x2 - 12x + 30.25 = OD2
x2 - 12x + 66.25 = OD2............... (2)
OB and OD are the radii of the circle. Therefore OB = OD.
Thus, OB2 = OD2
Equating (1) and (2) we get,
x2 + 6.25 = x2 - 12x + 66.25
12x = 60
x = 5
Substituting the value of x in (1),
OB2 = x2 + 6.25
OB2 = 52 + 6.25
OB2 = 31.25
OB = 5.59 (approx.)
Thus, we get the radius of the circle = 5.59 cm.
Solve
2(2x + 1) = 3(x - 4)
Step-by-step explanation:
2(2x + 1) = 3(x - 4)
4x+2=3x-12
4x-3x=--12-2
x=14
Number 1. Don’t worry about the other stuff well you can the other stuff if you want I don’t know them either
Applying the appropriate circle theorems involving angles formed by chords and tangents, we have:
1. x = 75°; y = 85°, z = 210°
2. x = 38°
3. x = 143°
What is the Angles of Intersecting Tangents Theorem?The angle formed outside a circle when two tangents intersect equals half of the positive difference of the intercepted arcs, based on the angles of intersecting tangents theorem.
What is the Angles of the Intersecting Chords Theorem?The angles of intersecting chords theorem states that, half the sum of the intercepted arcs equals the vertical angle formed by two chords in a circle.
What is the Inscribed Angle Theorem?According to the inscribed angle theorem, the measure of an inscribed angle in a circle = 1/2(measure of intercepted arc)
1. x = 180 - 105 (opposite angles in a cyclic quadrilateral are supplementary)
x = 75°
y = 180 - 95 = 85°
z = measure of intercepted arc HEF = 2(105) [inscribed angle theorem]
m(HEF) = 210°
2. x = 1/2(218 - 142) [angles of intersecting tangents theorem]
x = 1/2(76)
x = 38°
3. x = 1/2(146 + 140) [angles of intersecting chords theorem]
x = 1/2(286)
x = 143°
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Can y’all figure out the answer for me please
The answer is A. True.
Hope this helps
Answer:
True
Step-by-step explanation:
Two triangles are similar { ~ } only when they have same shape. And as these figures have same shape so they are similar. And their corresponding sides are equal too...
What is the perimeter of a sandbox thats 60 inches wide and 125 inches long
Answer:
370 inches
Step-by-step explanation:
To find the perimeter of a figure, you need to add all sides together.
60 + 60 + 125 + 125 = ?
60 + 60 = 120
125 + 125 = 250
120 + 250 = 370 inches
At andres birthday party 3 pizzas were ordered for lunch. Each pizza was divided into 8 equal slices. Each child ate 2 pieces and there were 2 pieces left how many children were at the party?
Answer: I dont know if im right for sure but the answer should be 4
Step-by-step explanation
8 goes into 2 4 times (8 divided by 2 = 4)
Each child ate 2 pieces (4-2=2)
so therefore for it to be 2 pieces left over there were 4 kids I think.
Answer:
11
Step-by-step explanation:
So each pizza has 8 equal slices but we don't know the amount pizzas but we can find it by doing this ⬇️
1 pizza= 8 slices
3 pizzas = x
you cross multiply it and it will end up as 3×8= 24 slices.
now each kid ate 2 pieces and there was a leftover of 2
therefore, 24-2= 22 pieces divided 2 is 11
or; 3×8=24-2=22÷2=11
Solve for x
3x – 2 = 2x – 4
Answer: x= -2
Step-by-step explanation:
3x – 2 = 2x – 43x-2x= -4+2x= -2Find the area and the circumference of the circle. Round your answers to the nearest hundredth.
27
area: ? square units
circumference: ? units
As Per Provided Information
Diameter of Circle is 27 units
Radius will be 27/2 units
Radius will be 13.5 units
Calculating Area of circle.
[tex] \boxed{ \qquad\huge\sf \:Area_{(Circle)} \: = \pi {r}^{2}}[/tex]
[tex] \qquad\longrightarrow\sf \:Area_{(Circle)} = 3.14 \times {13.5}^{2} \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} = 3.14 \times 182.25 \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} = 572.265 \\ \\ \\ \qquad\longrightarrow\sf \:Area_{(Circle)} \: = 572.3 \: square \: units[/tex]
Now finding the circumference of the circle.
[tex]\qquad\boxed{\huge\sf \: Circumference_{(Circle)} = 2 \pi \: r}\\\\\qquad\longrightarrow\sf \:Circumference_{(Circle)} = 2 \times 3.14 \times 13.5 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 6.28 \times 13.5 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 84.78 \\ \\ \\ \qquad\longrightarrow\sf \:Circumference_{(Circle)} = 85 \: units[/tex]
Step-by-step explanation:
Given :- Diameter of circle :- 27 units , radius :- 13.5 units
Area :- πr²
Area :- 3.14×13.5²
Area :- 572.265
rounding off to nearest hundredth = 572.3 sq. units
Circumference :- 2πr
= 2 ×3.14 × 13.5 units
= 84.78 units
rounding off to nearest hundredth = 85 units
A man earns Rs.9600 and he saves Rs.2400 in a month.What percentage does he spends?
Given Information :-
⠀⠀
A man earns rs. 9600He saves Rs. 2400⠀
To Find :-
⠀
The percentage of amount he spends⠀
Solution :-
⠀
To find the percentage of expenditure, we must know how much amount does he really spend, thus :
⠀
➥ Expenditure = Earnings - Savings
➥ Expenditure = Rs. 9600 - Rs. 2400
➥ Expenditure = Rs. 7200
⠀
Now, we can find the percentage,
⠀
[tex] \sf \hookrightarrow Percentage_{expenditure} = \dfrac{Expenditure}{Earnings} \times 100 \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{7200}{9600} \times 100 \qquad \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{72 \cancel{00}}{96 \cancel{00}} \times 100 \qquad \quad \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \frac{ \cancel{72}}{ \cancel{96}} \times 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \cancel \frac{3}{4} \times 100 \qquad \qquad \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = 0.75 \times 100 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Percentage_{expenditure} = \underline{ \boxed{ \orange {\frak{75\%}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, the percentage of his expenditure is 75%.
⠀
[tex] \underline { \rule{227pt}{2pt}}[/tex]
⠀
Answer:
5%
Step-by-step explanation:
Earns= Rs 640
Spends= Rs 608
Saves= (Rs 640 - Rs 608) =Rs 32
therefore, 32/640x100
Using two or more complete sentences, describe how to find the general rule for the arithmetic sequence with a4=−1 and a6=−13. In your final answer, include all of your calculations
Answer:
-4 is your final answer in it
Select all of the numbers that round to 5.1 when rounded to the nearest tenth.
A. 5.0
B. 5.01
C. 5.016
D. 5.099
E. 5.13
F. 05.17
Answer:
D and E
Step-by-step explanation:
Solve the system of equations x - 2y = – 7 and -3x – 2y = 29 by combining the
equations.
Answer:
x = - 9, y = -1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}x-2y=-7\\ -3x-2y=29\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=-7+2y[/tex]
[tex]\begin{bmatrix}-3\left(-7+2y\right)-2y=29\end{bmatrix}[/tex]
[tex]\begin{bmatrix}21-8y=29\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=-7+2y[/tex]
[tex]\mathrm{Substitute\:}y=-1[/tex]
[tex]x=-7+2\left(-1\right)[/tex]
[tex]x=-9[/tex]
[tex]\mathrm{Thus, Answer:x=-9,\:y=-1}[/tex]
[RevyBreeze]
Answer:
x = -9, y = -1
Step-by-step explanation:
Solution:
If x = -7+2y
Then
-3(-7+2y)-2y=29
Simplify
21 - 8y = 29
And if x = -7+2y
Simplify
y = -1
x = -7+2(-1)
x = -9
Hence, x = -9 and y = -1
~lenvy~
Puzzle Two
Determine the volume of the following spheres with the given dimensions. To break
the code find the mean of all your answers. Round your answers to the hundredth
place. Use 3.14 for an approximation for pl.
1)
3)
18 in
3 cm
2)
4).
10
42 in
Code:
B
The volume of a sphere is the amount of space in it
The volumes of the spheres are 24416.64, 113.04 and 310181.76
How to determine the volume of the spheres?The volume of a sphere is calculated using:
V = 4/3 πr^3
When the radius, r = 18, we have:
V = 4/3 * 3.14 * 18^3
V = 24416.64
When the radius, r = 3, we have:
V = 4/3 * 3.14 * 3^3
V = 113.04
When the radius, r = 42, we have:
V = 4/3 * 3.14 * 42^3
V = 310181.76
Hence, the volumes of the spheres are 24416.64, 113.04 and 310181.76
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The number of homeless people in a city decreased from 1800 to 1500. Find the percentdecrease in homelessness.
Kaitlynn needs 3 pounds of fruit for a salad.
She already has 34 pound of apples and 13 pound of grapes.
How many more pounds of fruit does she need to buy?
Answer:
She has 1 and 1/12 pounds of fruit already and she needs 1 and 11/12 pounds more to have 3 total pounds
Derek need to buy 4 sheets of plywood for $9 each and some boxes of nails. He has $60 to spend. If each box of nails costs $5 at most how many boxes can he buy?
Answer:
4
Step-by-step explanation:
4 sheets of plywood X 9$=36$
60$-36$=24$
24$ is left over to buy boxes of nails at 5$ each
24/5=4.8
Derek can buy 4 boxes of nails.
6. following activities: has 9 hours of free time on Sunday, find how much time he spends on the The circle graph shows the percentage of Nathan's free time on Sunday. If Nathan 1. Percent spent on Reading: Free Time % 2. Time spent on Reading: Drawing Reading 25% 3. Time spent on Drawing: 4. Time spent Exercising: Watching Television 25% Exercising 30% 5. Time spent watching TV:
Answer: add them
Step-by-step explanation: your welcome to get a tutor
What must be a factor on the polynomial Function F(x) graphed on the coordinate plane below?
X-3
X-1
X+1
X+2
Answer:
x - 1
Step-by-step explanation:
The graph touches the x-axis at x = 1, its factor would be (x - 1)
I NEED HELP ASAP
QUESTION BELOW
Answer:
Circumference ≈ 50.27
Area ≈ 201.06
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex] while the area of the circle [tex]\pi r^{2}[/tex]
Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 × [tex]\pi[/tex] × 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be [tex]\pi[/tex] × 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)
Find the sum of 3.0478 and 4.92 using the correct number of significant digits.
A. 7.967
B. 7.97
C. 7.9
D. 8
Answer:
Since the least number of digits in the number is 2 decimal places
Round 3.0478 to 2 dp
3.05+4.92=7.97
B is the answer
Step-by-step explanation:
Give brainliest please
Answer:
B
Step-by-step explanation:
PLEASE HELP: PICTURE ATTACHED
Multiply 80 by number of copies sold and add to her salary:
P = 80N + 1700
Now replace N with 26:
P = 80(26) + 1700
P = 3,780
Answer:
P=1,700+80n
Total Pay if Yoko sells 26 Copies; 3,780
Hope This Helps! :) Please Mark Brainliest!
Divide.
3/5 ÷ 2/5 = ???
A.
2/3
B.
1 1/2
C.
6/25
D.
4/5
Answer:
i put it in a calc and got 1 1/2 which simplifies to 2/3
Step-by-step explanation:
Answer: a?
Step-by-step explanation:
i did 3 dived by 5 then 2 diviided by 5, dived the awnsers and got 2/3
Amy bought 14 pounds of rice for $6. How many pounds of rice did she get per dollar?
Answer:
2.3?
Step-by-step explanation:
i just divided it 14 ÷ 6
The line 1, has equation 3x + 5y – 2 = 0.
(a) Find the gradient oflı.
Answer:
2
Step-by-step explanation:
because of your options
