Answer:
224in³
Step-by-step explanation:
Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.
Volume of rectangular prism= (length)(width)height)
=(14)(4)(10)=560in³
Volume of pyramid=((length)(width)height))/3
=((14)(4)(6))=336in³
560in³-336in³=224in³
-8 * f(0) + 4 * g(-8)
The value of the expression -8 * f(0) + 4 * g(-8) is -60
Complete questionIf the following equations represent the functions f(x) and g(x).
f(x) = 2/3x + 7 and g(x) = 2x + 15
Calculate the value of -8 * f(0) + 4 * g(-8)
How to determine the value of the expression?We have:
f(x) = 2/3x + 7 and g(x) = 2x + 15
Calculate f(0) and g(-8)
f(0) = 2/3(0) + 7 and g(-8) = 2(-8) + 15
Evaluate
f(0) = 7 and g(-8) = -1
Substitute the above values in the following expression
-8 * f(0) + 4 * g(-8)
So, we have:
-8 * 7 + 4 * -1
Evaluate
-60
Hence, the value of the expression -8 * f(0) + 4 * g(-8) is -60
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Answer:
-32
Step-by-step explanation:
khan academy said so
Solve for a side in right triangles
Rafael's salary last year was $49,500 and he took home
$38,610. What was his federal income tax withholding
rate?
What is the lateral area of the pyramid
Answer:
43.75 ft²
Step-by-step explanation:
[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)
l & w become 3.5, and h becomes 6.
[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)
Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.
[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)
Step 2: Divide 3.5 by 2 to get 1.75.
[tex]s_l[/tex] = 2(3.5√1.75² + 6²)
Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.
[tex]s_l[/tex] = 2(3.5√3.0625 + 36)
Step 4: Add 3.0625 and 36 to get 39.0625.
[tex]s_l[/tex] = 2(3.5√39.0625)
Step 5: The square root of 39.0625 is 6.25.
[tex]s_l[/tex] = 2(3.5 * 6.25)
Step 6: Multiply 3.5 by 6.25 to get 21.875.
[tex]s_l[/tex] = 2(21.875)
Step 7: Multiply 2 by 21.875 to get 43.75.
[tex]s_l[/tex] = 43.75 ft²
The lateral area of this pyramid is 43.75 ft².
Two numbers total 51 and have a difference of 23. Find the two numbers?
Answer:
14 and 37
I just kept checking all the pairs I could think of until I got to this answer.
If the radius of a circle is 2.6 inches, what is the diameter of the circle?
Answer:
5.2
Step-by-step explanation:
radius is half the diameter
Answer:
5.2in
Step-by-step explanation:
I need this assignment done will give brainliest and extra points.
Answer:
1a.2.5x³-2.25x²+3.5x-1.5
1b.No, they aren't equal. (worked out the product for both and they weren't equal, see below)
2a.-2x⁶+7x⁴+3x³-3x²+11x+20
2b.Yes. When multiplying, it doesn't matter which term/expression you put first
3. The equation has two solutions: x=-2, x=3
Step-by-step explanation:
1. (a)
(0.5x-0.25)(5x²-2x+6)
0.5x(5x²-2x+6)-0.25(5x²-2x+6)
2.5x³-x²+3x -1.25x²+0.5x-1.5
2.5x³-2.25x²+3.5x-1.5
(b)
(0.25x-0.5)(5x²-2x+6)
0.25x(5x²-2x+6)-0.5(5x²-2x+6)
1.25x³-0.5x²+1.5x -2.5x²+x-3
1.25x³-3x²+2.5x-3
This is not equal to our answer for 1(a), so we can see they're not the same.
2(a)
(-2x³+x-5)(x³-3x-4)
-2x³(x³-3x-4) +x(x³-3x-4) -5(x³-3x-4)
-2x⁶+6x⁴+8x³ +x⁴-3x²-4x -5x³+15x+20
-2x⁶+7x⁴+3x³-3x²+11x+20
(b)
Yes. When multiplying, it doesn't matter which term/expression you put first: xy=yx. For example, 2(3)=6 and 3(2)=6.
3
2x²-2x-12=0
(divide each term by 2)
x²-x-6=0
(x+2)(x-3)=0
Anything multiplies by zero is zero, so either x+2=0 or x-3=0
If x+2=0, x=-2. If x-3=0, x=3.
The equation has two solutions: x=-2, x=3
14/7 = n/21 what is the value of n
Answer:
n=42
Step-by-step explanation:
14/7=n/21
2=n/21
42=n
n=42
Answer:
n = 42
Step-by-step explanation:
14/7 = 2
42/21 = 2
3) A basketball player averaged 17.3 points per game during his collegiate career. He played in 148
games total. How many points did he score while in college? Round to the nearest whole
number.
a. 2000
b. 2500
c. 2560
d. 2560.4
THIS IS FOR A TEST
Given m∠3+m∠8=180° .
Answer:
5.175117
Step-by-step explanation:
What is the value of x when the Richter
scale rating is 4.37 Round your answer
to the nearest hundredth.
Please help!
Which expression is equivalent to (1/2x+6)-(1/4x+2)?
A. 1/4 x - 4
B. 1/4 x + 4
C. 3/4 x - 4
D. 3/4 x + 4
Answer:
Choice B. 1/4 x + 4
Step-by-step explanation:
(1/2x+6)-(1/4x+2)
1/2x + 6 - 1/4x - 2
1/2 = 2/4
combine same values
1/4 x + 4
Solve the inequality.
5q + 22-13
Answer:
The answer is 5q + 9.
Step-by-step explanation:
1) Collect like terms.
[tex]5q + (22 - 13)[/tex]
2) Simplify.
[tex]5q + 9[/tex]
hence, the answer is 5q + 9.
Consider a taxi station where taxis and customers arrive in accordance with Poisson processes with respective rates of one and three per minute. A taxi will wait no matter how many other taxis are present. However, an arriving customer that does not find a taxi waiting leaves. Find the proportion of arriving customers that get taxis.
Answer:
The proportion of arriving customers that get taxis is:
= 33%.
Step-by-step explanation:
Rate of arrival of taxis = 1 per minute
In one hour, the number of taxis arriving = 60 (60/1)
Rate of arrival of customers = 3 per minute
In one hour, the number of customers arriving = 180 (60 * 3)
The proportion of arriving customers that get taxis = 60/180
= 0.333
= 33%
b) Since the taxis wait until they get a customer, it means that they will likely transport one out of 3 customers who arrive. Therefore, the proportion of arriving customers that get taxis is equal to 1/3 or 60/180, which is equal to 33%.
GIVING 30 POINTS!!!!!!!
Answer:
MEAN
Step-by-step explanation:
Have a Great Day!
Answer:
Not quite sure, but I think its the mean?
Is this relationship proportional or non proportional
Can someone help me pls I’m stuck
Answer:
Given quadrilateral can't be inscribed in a circle.
Step-by-step explanation:
Property of a cyclic quadrilateral,
Sum of opposite angles of a cyclic quadrilateral is 180°
If the given quadrilateral fulfills this property, it can be inscribed in a circle.
From the given quadrilateral,
Sum of opposite angles = 168° + 22°
= 190°
Therefore, answer is NO.
Given quadrilateral can't be inscribed in a circle.
There were 650 fruit in a fruit stall. 62% of the fruit were sold. How many fruit were left?
Answer:
62/100 multiplied by 650 which is 403 fruits left
The diameter of a cake is 7.8 inches. What is the area of the cake?
Answer:
A = 12.25 sq inches
Step-by-step explanation:
A = (7.8/2)²π
A = 3.9²π
A = 12.25 sq inches
Which only lists multiples of 16? *
Mark only one oval.
1, 2, 4, 8, 16
16, 24, 32, 40
16, 32, 48, 64
Answer in the attachment :)
I think it's c hope it's right
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donuts
Answer:
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donuts
Step-by-step explanation:At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donutsAt Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to
If 10 donuts are sold. Then the expected value of the number of sprinkles will be 5.
What is binomial distribution ?The binomial distribution is a discrete probability distribution that models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has a constant probability of success. It is commonly used in statistical modelling to describe the distribution of outcomes in a binary event, such as the success or failure of an experiment, or the presence or absence of a characteristic in a population. The binomial distribution is characterized by two parameters: the number of trials (n) and the probability of success in each trial (p).
E(X) = np
Given that,
At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data.
If 10 donuts are sold.
Then the number of the sprinkles would be
The probability would be
p = 3/6
p = 0.5
n = 10
Now, the expected value of the number of the sprinkles will be
E(x) = 10 x 0.5
E(x) = 5
Hence, the number of sprinkles is 5
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A Store was trying to sell a bed set for $475. After a while, they marked the price tag down 35%. If tax is 5% (of the sale price), how much would the bed cost?
Antonio buys 2.25 pounds of grapes at the store. The grapes are on sale for $1.20 per pound. How much will Antonio pay for the grapes?
Answer:
$2.70
Step-by-step explanation:
1. Answer the following questions related to purchasing a car.
a. You need to buy a vehicle. The information from the vehicle sticker is
listed below to calculate the negotiated price. (5 points)
2021 Subaru Forester
Retail Price $24,705
Delivery Fee $221
Keyless Entry $350
Dual AC $550
Tinted Windows $500
b. Once you have the correct negotiated price, find the total price with taxes
and fees. You have a registration fee of $150 and 5% tax to pay in addition
to the negotiated price. (10 points)
A loss of $13.50 on a washing machine represents 15% loss on the selling price. what is the selling price?
Answer:
$90
Step-by-step explanation:
Given data
Given data
Loss= $13.5
Percentage of the loss= 15%
Let the full loss be x
Hence we can find the value of x as
15/100*x= 13.5
0.15x= 13.5
divide both sides by x
x= 13.5/0.15
x= $90
Hence the loss in full is $90
what is 26 x4 hurry ii need it nowwwww
the answer is 104 hope it helps
HELP this is due today!!!Use PEMDAS to evaluate the expression 7 x 6 + 8 − 16 ÷ 4. (4 points) 40 42 44 46
Answer:
46
Step-by-step explanation:
7 x 6 + 8 − 16 ÷ 4
42+8-16 ÷4
42+8-4
50-4
46
Answer:
46
Step-by-step explanation:
the answer is 46 may i be marked brainliest?
The lengths of the legs of a right triangle are 8 inches and 9inchrs. What is the length of the hypotenuse round to the nearest inch
Answer: Hypotenuse is 12 inches
Step-by-step explanation: a^2+b^2=c^2
c^2=8^2+9^2
c^2=64+81
c^2=145
c=square root of 145
c=12.04
What is the volume of composite shape to the nearest whole number?
please help
Step-by-step explanation:
answer is 52
i hope this helps