Answer:
188.5 cubic inches
Step-by-step explanation:
V(cone) = 1/3πr²h
= 1/3π(3²)(2)
= 1/3(9)(2)π
= 6π
V(cylinder) = πr²h
= π(3²)(6)
= 54π
Total Volume = 6π + 54π or 60π
60π is approximately 188.5 cubic inches
Simplify.
(-x²+2x-3)+(7x²+6x+5)
Answer:
6x² + 8x + 2
Step-by-step explanation:
(-x² + 2x - 3) + (7x² + 6x + 5 ) = ?
-x² + 2x - 3 + 7x² + 6x + 5 = ?
-x² + 7x² + 2x + 6x - 3 + 5 = ?
? = 6x² + 8x +2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
guys i think i might have a pis.skink
Answer:
Is this true or uhhhh id,k tbh
Thanks for the free point.s anyways
2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24
Solve the following quadratic equation for all values of x in simplest form.
Answer:
X1=-7, X2=9
Step-by-step explanation:
(x-1)²-20=44
x²-2x+1-20=44
x²-2x-19=44
x²-2x-19-44=0
x²+7x-9x-19-44=0
x²+7x-9x-63=0
x(x=7)-9x-63=0
x(x+7)-9(x+7)=0
(x+7)(x-9)=0
x+7=0/x-9=0
X1=-7/X2=9
Hope this Helps!
Simplify 5^3. Show work
Answer:
5^3 is 125 , 5 * 5 = 25 , 25 *5 = 125
Step-by-step explanation:
Answer:
Step-by-step explanation:
Multiply 5 three time's because 5 is cubed.
5 x 5 x 5 = 125
Hope this help's.
One side of a rhombus is 13 inches . What is the perimeter of the rhombus?
(11.5) - (-11.5)
Jamal says he thinks the answer is 23. His friend, Reggie, claims the
answer will be 0.
Do you agree with either of them?
explain as long as you can
Answer:
Jamal is correct.
Step-by-step explanation:
(11.5) − (−11.5)
=11.5 − (−11.5)
=11.5 + 11.5
=23
Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular prism and will be 8019 cubic inches. The compartment will be 24 inches longer than it is wide and the height will be 18 inches greater than the width. Find the dimensions of the computer compartment.
Answer:
The width of the computer compartment is 9 inches
The length of the computer compartment is 33 inches
The height of the computer compartment is 27 inches
Step-by-step explanation:
The given data on the rectangular prism compartment are;
The volume of the rectangular prism, V = 8019 cubic inches
The length of the compartment, l = 24 inches + The width, w
The height of the compartment, h = 18 inches + The width, w
Therefore, we have;
l = 24 + w
h = 18 + w
V = l × h × w
∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019
w³ + 42·w² + 432·w - 8019 = 0
By graphing the above function with MS Excel, we have one of the solution is w = 9
∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0
Dividing, we get;
w² + 51·w + 891
w³ + 42·w² + 432·w - 8019 = 0
w³ - 9·w²
51·w² - 459·w
891·w
891·w + 8019
0
Therefore,
w³ + 42·w² + 432·w - 8019 = 0
w³ + 42·w² + 432·w - 8019 = (x - 9)·(w² + 51·w + 891) = 0
The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots
Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9
The width of the computer compartment, w = 9 inches
The length of the computer compartment, l = 24 inches + 9 inches = 33 inches
The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.
Three game tickets and four ride tickets cost $39. Five ride tickets cost $15. All game tickets cost the same and all ride tickets cost the same. What is the ratio of the cost of a game ticket to the cost of a ride ticket?
Answer: 3:1
Step-by-step explanation:
Let the cost of a game ticket be g.
Let the cost of a ride ticket be r.
The information given can be formed into an equation which will be:
3g + 4r = 39
Since Five ride tickets cost $15, the cost of each ride ticket will be:
= $15/5
= $3.
Therefore, 3g + 4r = 39
We put the value of r = $3 into the equation
3g + 4(3) = 39
3g + 12 = 39
3g = 39 - 12
3g = 27
g = 27/3
g = 9
The cost of a game ticket is $9
The ratio of the cost of a game ticket to the cost of a ride ticket will be:
= 9/3
= 3/1
= 3:1
The ratio is 3:1
Jackson recorded the growth of a plant over 10 weeks. The equation y=0.25x+4 represents the height in inches over the time in weeks. How tall will the plant be after 5 weeks? How tall will it be after 12 weeks? (PLEASE HELP)
Answer:
5.25 inches after 5 wks
7 inches after 12 wks
Step-by-step explanation:
after 5 weeks: y = .25(5) + 4 which is 5.25 inches
after 12 weeks: y = .25(12) + 4 which is 7 inches
Complete the table below.
Answer:
4 , 2, 8, 4 ..............
T increased by 55 pls help no links or anything
Answer:
T increased by 55 =t+55
can someone please help me with these 2 questions
*No links* Need help asap
Answer:
shown below
Step-by-step explanation:
GDO=21
x=3 and i cant figure out DOG or DGO
!!!URGENT!!! I WILL GIVE 100 points
Can someone please answer this?
Ans hope its the green
but i need better info
Find the surface area of the prism 3m 4m 8m 5m
Answer:
3 x 4 = 12, 12 divided by 2 ) x 1/2) = 6, 6 x 2 = 12(area of two triangles)
8 x 4 = 32
8 x 3 = 24
8 x 5 = 40
Let's add all the given areas:
12 + 32 + 24 + 40 = 108 m^2 is your answer.
Answer:
Step-by-step explanation:
Two triangles.
one triangle = 1/2 * small leg * middle sized leg
one triangle = 1/2 * 3 * 4
One triangle = 6
Two triangles = 6 * 2 = 12
Front
Area = L * W
L = 8
W = 5
Area = 8*5 40
Left Side
L = 8
W = 3
Area = 8*3
Area = 24
Area= 24
Right Side
L = 8
W = 4
Area = 32
Total Area = 32 + 24 + 40 + 12 108
There is another way to do this.
Since the height is the same for all three faces, you can do it like this
Area = 8*(3 + 4 + 5) = 8(j12) = 96
Area of the two tiangles = 12
Total area = 108
I will give you brainlest and a kiss please help
find the value of each variable
right triangle and trigonometry
special right triangles
make brainlesst
Answer:
y=4.47 and x=√10
Step-by-step explanation:
180°-45°-90°=45°
√10/(sin 45°)=y/(sin 90)
y=4.47
√10/(sin 45°)=x/(sin45)
x=√10
Could i get some help
Simplify the expression
In a child’s bank are 11 coins that have a value of $1.85. The coins are either quarters or dimes. How many coins are quarters?
Answer:
The child has 6 dimes and 5 quarters.
Step-by-step explanation:
Let q and d represent the number of quarters and of dimes respectively.
Then q + d = 11 (Equation A), and ($0.25/quarter)q + ($0.10/dime)d = $1.85 (Equation B).
Multiply the 2nd equation by 100 to remove the decimal fractions:
25q + 10d = 185 (Equation C)
Now multiply the 1st equation by -10 to obtain -10q - 10d = -110 (Equation D), and combine this result with Equation C:
-10q - 10d = -110
25q + 10d = 185
--------------------------
15q = 75, and so q = 75/15 = 5.
According to Equation A, q + d = 11. Replacing q with 5, we get:
5 + d = 11, and so d = 6.
The child has 6 dimes and 5 quarters.
Answer: The amount of money in quarters is $1.75
Step-by-step explanation: There are 7 quarters. 25c+25c+25c+25c+25c+25c+25c=1.75
The volume of Cylinder A is 189 ft and the
volume of Cylinder B is 56 ft. If the cylinders are
similar, what is the ratio of surface area of
Cylinder A to the surface area of Cylinder B?
Please don’t put in a link
Answer:
27:8
Step-by-step explanation:
189/56 = 27/8
Footballs sell for $27.99 each at the Sports R' Us and for $21.59 each at the Fitness Depot. If the coach buys a dozen footballs, how much can he save by buying them at the Fitness Depot?
Answer:
He can save $76.8 by buying them at the Fitness Depot.
Step-by-step explanation:
If the coach buys a dozen footballs, it means that he buys 12 and first, you need to determine the cost of purchasing the 12 footballs at each store by multiplying the amount of footballs for the price at each store.
-Sports R' Us: $27.99*12=$335.88
-Fitness Depot: $21.59*12=$259.08
Then, you have to find the difference between the total cost at both places:
$335.88-$259.08=$76.8
According to this, the answer is that he can save $76.8 by buying them at the Fitness Depot.
If a line falls on the points (1, 2) and (8,7), what is its slope? Enter your answer as a fraction in lowest terms. Use a slash mark ( 1 ) as the fraction bar.
Answer:5/7
Step-by-step explanation:
7-2=5
8-1=7
then your answer is 5/7
Took quiz and got correct
Solve the following quadratic equation for all values of x in simplest form. 2( x2 - 1) +1= 1
Honon spent 3 1/4 hours on homework while Sequoia spent 2 5/6 hours on homework. How much more time did Honon spend on homework than Sequoia
Answer:
5/12 hours
Step-by-step explanation:
Honon = 3 1/4 hours
Sequoia = 2 5/6 hours
How much more time did Honon spend on homework than Sequoia
= number of hours Honon spent - number of hours Sequoia spent
= 3 1/4 hours - 2 5/6 hours
= 13/4 - 17/6
= (39-34) /12
= 5/12 hours
A jug contains 1560 no of Apple juice in it. How many will each child get if 12 children share juice equally?
Answer:
130
Step-by-step explanation:
total apple juice= 1560
if 12 children share juice equally
they get
=1560/12
= 130
Two functions, A and B, are described as follows: Function A y = 8x + 3 Function B The rate of change is 1 and the y-intercepted is 4. How much more is the rate of change of Function A than the slope of Function B?
Answer:
7
Step-by-step explanation:
Expressing Both equations in the slope intercept format : y = mx + c
Function A :
y = 8x + 3
Where, slope = 8 ; intercept = 3
Function B:
y = x - 4
Note ;
Rate of change = slope
Rate of change or slope of function A = 8
Slope of function B = 1
Difference = 8 - 1 = 7
Jun and Deron are applying for the summer job at a local restaurant. The probability that Jun gets the job is 0.7, the probability that Deron gets the job is 0.4, the probability that at least one of them gets hired is 0.9. What is the probability that both Jun and Deron get hired
Answer:
The probability that both Jun and Deron get hired=0.2
Step-by-step explanation:
Let
A=Jun
B=Deron
We are given that
The probability that Jun gets the job, P(A)=0.7
The probability that Deron gets the job, P(B)=0.4
The probability that at least one of them gets hired, [tex]P(A\cup B)=0.9[/tex]
We have to find the probability that both Jun and Deron get hired.
We know that
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
Using the formula
[tex]0.9=0.7+0.4-P(A\cap B)[/tex]
[tex]P(A\cap B)=1.1-0.9[/tex]
[tex]P(A\cap B)=0.2[/tex]
Hence, the probability that both Jun and Deron get hired=0.2
Guided Practice
Choose the ordered pair that is a solution of the system.
x + y = 4
x = –1
A.
(–1, 3)
B.
(5, –1)
C.
(–1, 5)
Answer:
C.
(–1, 5)
Step-by-step explanation:
(− 1 , 5) is a solution of the system because it makes both equations true. The ordered pair, negative 1, 5, is a solution of the system because it makes both equations true.
x + y− 1+54=?⎯⎯⎯⎯=444 X plus y equals 4.Does negative 1 plus 5 equal 4?Negative 4 equals negative 4.
x−1==−1−1 ✔ X equals negative 1.Negative 1 equals negative 1.
Wesley and Brian have a total of 87 baseball cards. Wesley has 30 less than twice as many cards as Brian. How many baseball cards do they each own?
Answer:
wow this is kinda hard but it think it is brian has 19 and wesley has 68
Step-by-step explanation:
yeah hope this helps <3