Answer:
We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.
Its volume is equal to the area of its base times its height.
Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.
Let's test each of these answers to see which gives us the correct volume.
--------------------------------------------------------------------------------------------------
a base area of 4y square units and height of 4y² + 4y + 12 units
We find the volume by multiplying the base area by the height...
4y(4y² + 4y + 12)
Distribute the 4y to each term inside the parentheses.
16y³ + 16y² + 48y
This is not the right volume, so these can not be dimensions of our prism.
--------------------------------------------------------------------------------------------------
a base area of 8y² square units and height of y² + 2y + 4 units
We find the volume by multiplying the base area by the height...
8y²(y² + 2y + 4)
Distribute the 8y² to each term inside the parentheses.
8y⁴ + 16y³ + 32y²
This is not the right volume, so these can not be dimensions of our prism.
--------------------------------------------------------------------------------------------------
a base area of 12y square units and height of 4y² + 4y + 36 units
We find the volume by multiplying the base area by the height...
12y(4y² + 4y + 36)
Distribute the 12y to each term inside the parentheses.
48y³ + 48y² + 432y
This is not the right volume, so these can not be dimensions of our prism.
--------------------------------------------------------------------------------------------------
a base area of 16y² square units and height of y² + y + 3 units
We find the volume by multiplying the base area by the height...
16y²(y² + y + 3)
Distribute the 16y² to each term inside the parentheses.
16y⁴ + 16y³ + 48y²
The volume fits, so these could be the base area and height of our prism.
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D. a base area of 16y² square units and height of y² + y + 3 units
--------------------------------------------------------------------------------------------------
Step-by-step explanation:
The table shows the results of a survey of 150 students. Use the table to find the probability of a student participating in each sport.
1. Tennis
2. Football
3. Gymnastics
4. Volleyball
Can someone please help!
Answer:
See below
Step-by-step explanation:
Using the table of 150 students, we can configure probabilities.
18 students participate in tennis, so the probability of a student participating in tennis is 18/150, or 3/25 simplified.
45 students participate in football, so the probability of a student participating in football is 45/150, or 3/10 simplified.
12 students participate in gymnastics, so the probability of a student participating in gymnastics is 12/150, or 2/25 simplified.
9 students participate in volleyball, so the probability of a student participating in volleyball is 9/150, or 3/50 simplified.
Zach is a member of the movie club.
How many movie tickets does Zach need to buy in order for the total cost of the tickets to be the same as the total cost for a nonmember?
A. 5
B. 7
C. 20
D. 40
Answer:
20
Step-by-step explanation:
find the area and the circumference of the circle round your answers to the nearest hundredth
Answer:
Circumference= 50.27
Area= 201.06
What it (f+g)(y) for the functions
F(y)=5y^2-2y+1
G(y)=-3y^2-y-2
Answer:
The first choice
Step-by-step explanation:
In the picture above, Goodluck.
What is the surface area of this rectangular pyramid?
3 cm
D
4 cm
4 cm
square centimeters
Submit
??
A plane is slicing the cuboid parallel to its base. Name the shape of cross section which is slicing the cuboid.PLEASE RESPOND FAST!!!!
Answer: its Square but the top one is rectangle
E
1)
AC = 9 cm
AB = 3 cm
DE = 20 cm
Angle ABC = angle CBD= angle BDE = 90°
20 cm
9 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
50°
А
D
→B
3 cm
Please could you could give me a step by step.
Answer:
Step-by-step explanation:
We can use Hypotenuse Theorem for this:
For triangle ABC,
AC²=CB²+BA²
9²=CB²+3²
Switch the sides
-CB²=3² -9²
-CB²= 9-81
-CB²= -72
the signs cut each other
CB²=72
the square changes sides
CB=√72
CB= 8.49 cm
Now triangle CBD
We have the length of CB but not the other two whereas we have the angle
It will be sin
As we know sin= O/H
Here O is CB whereas H is CD
Put the values
sin 50= 8.49/H
H= 8.49 ÷sin 50
Calculate
H=11.1 cm
As we know H is CD so CD is 11.1 cm
Hope it helps
Please help this is my 3rd time asking :(
Answer:
$6
Step-by-step explanation:
She bought a toy for 4 dollars, so we need to subtract that from 88. This gives us 84 dolalrs. She bought 8 shirts and 6 pants, which is 14 items total. Divide 88 by 14 and you get 6.
Hope that helps :)
Answer: $6 each
Step-by-step explanation:
14x+4=88
88-4=84
84/14=x
6=x
GUYS PLEASE HELP I LITERALLY CANT FIGURE IT OUT hwjbbbbbbbbbbbbaefyfawwciiinaaipwoefnc slkjf
Answer:
I think a and b are 0.0 im not 100% sure 0 cannot be divided but a+b/0+0=0 so i guess zero is your answer sorry if this doesn't help :(
Answer:
i think zero
Step-by-step explanation:
I'm gonna pack my things and leave you behind
This feeling's old and I know that I've made up my mind
I hope you feel what I felt when you shattered my soul
'Cause you were cool and I'm a fool
So please let me go
But I love you so (please let me go)
I love you so (please let me go)
I love you so (please let me go)
I love you so
Directions: compute the answers to these problems. Write your answer on the line.
1. Sharmine works 30 hours at an exclusive restaurant. She earns $3.50 per hour plus tips. In one week she earned $1,250.00 in tips. What was Sharmine's total income?
2. Eldon helps people load their groceries into their cars at the grocery store. The grocery store pays him $5. 15 per hour. In one week he worked 38 hours and earned $425.00 in tips. What was his total income?
3. Cybil delivers food for an Asian carryout. She works 28 hours per week for $3.50 per hour. In a particular week she earned $240.00 in tips. What was her total income that week?
4. Arquette is a caddy at the country club. He has no hourly wage. His only income is from tips. In a given week he was tipped by 12 golfers: $20, $15, $25, $10, $15, 25,$10, $15, $22, $18, $15, $20, #20. What did he earn that week?
5.Lucinda is a baby sitter. Her hourly rate is $5.00. In one week she baby sat 13 hours and received tips of $14.50. How much did she earn?
6. Martin is a hair stylist. He averages a weekly wage of $240 and usually gets another $356 in tips. What is his average total income?
7. Ansel is a maid at the hotel. He receives tips from the guests at the ends of their stay. One week he earned $452.67 in tips and $5.23 per hour for 40 hours. What did he earn?
Please help me out, my hw is due tomorrow.
Answer:
Give me 5 minutes
Step-by-step explanation:
What is the distance from Cto D?
Pls help!!
I will award Brainly!!
hellllppppppppppppppppp
Answer:
Step-by-step explanation:
the third one
What type of association (positive, negative, no) is shown between the price of a ticket and concert attendance?
Answer:
positive
Step-by-step explanation:
PLEASE HELP ME IT’S DUE TODAY
Determine if each pair of triangles is similar. If they are similar, justify your answer.
Answer:
ummmm
Step-by-step explanation:
Answer:
No 4: the triangle are similar by congruency SAS(side angle side)
No 5: this is also similar by SAS
No 6: this is similar by AAS ( angle angle side)
No 7: this is similar by RHS ( right angle hypotenuse one side )
No 8: this pair of triangles are not similar
No 9: this is similar by SAS
No 10: this pair of triangles are similar by SAS ( side side side)
No 11: this triangle is similar by SSS
No 12: this triangle is similar by SSS
Word Phrase
Algebraic expression
10 more than the product of 3 and x
9 less than the quotient of n and 5
8 times the product of 5 and t
3 times the sum of x and 5
A state park charges a $6.00 entry fee plus
$7.50 per night of camping.
Answer:
10 more than the product of 3 and x
= 3x + 10
9 less than the quotient of n and 5
= n/5 - 9 (n divided by 5 minus nine)
8 times the product of 5 and t
= 8 x 5t
3 times the sum of x and 5
= 3 x (x + 5)
$6.00 entry fee plus $7.50/night of camping
= 6 + 7.5n
You purchased a new car. The car had a list price of $41,070. You are paying 5.09% interest compounded monthly over a payment period of FIVE years. If you also had to pay 5.86% sales tax, a $384 vehicle registration fee, and an $89 documentation fee, what is your monthly payment?
Answer:
The monthly payment is approximately $2,356.89
Step-by-step explanation:
The list price of the car, P = $41,070
The interest rate payed, r = 5.09% compounded monthly
Therefore, the number of interest calculated per period, n = 1
The payment period, t = 5 years
The amount payed as sales tax = 5.86%
The amount paid as registration fee = $384
The amount paid as documentation fee = $89
The total amount to be paid, A = 41,070 + 41,070 × 0.0586 + 384 + 89 = 43,949.702
Therefore, the monthly payment, 'M', is given by the following formula;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \cdot t} }{\left(1+\dfrac{r}{n } \right)^{n \cdot t} - 1}[/tex]
Therefore, we get;
[tex]M = \dfrac{43,949.702\times \left(\dfrac{0.0509}{1} \right) \cdot \left(1+\dfrac{0.0509}{1} \right)^{1 \times 60} }{\left(1+\dfrac{0.0509}{1 } \right)^{1 \times 60} - 1} \approx 2,356.89[/tex]
The monthly payment, M ≈ $2,356.89.
What percent of $30 is $7.50?
Answer:
25%
Step-by-step explanation:
15 is 50% 7.5+7.5= 15=50% =25%+25%
Evaluate |─8| + |2|.
Answer:
10
Step-by-step explanation:
|-8| = 8
Answer:
10
Step-by-step explanation:
The absolute value is never negative and is shown by the vertical line.
|-8|=8 and |2|=2.
8+2=10
Find the length of each arc. Round your answer to the nearest tenth.
Answer:
give the full questions please
Find the value of w.
1080
400
w
z
w = [?]
Answer:
w = 54°
Step-by-step explanation:
The inscribed angle w is half the measure of its intercepted arc, that is
w = [tex]\frac{1}{2}[/tex] × 108° = 54°
HELP!! Im Working on homework and not sure how to do this and its due tomorrow can anyone help me!! Btw it’s geometry
Answer:
the attachment is not viewable
The following dot plot shows the mass, in kilograms, of each of the 46 kittens adopted from an animal shelter last month. Each dot represents a different kitten
Which of the following is a typical mass of one kitten?
Choose 1 answer:
A) 1.8
B)2.2
C)3.8
D)4.6
Answer:
It's A) 1.8
Step-by-step explanation:
The typical mass or most common mass among all given options is 1.8 kg thus option (A) is correct.
What is a frequency table?A frequency table is a list of objects with the frequency of each item shown in the table.
The frequency of an occurrence or a value is the number of times it happens.
As per the given frequency plot.
The most common mass is at 1.8 kg and in between 1.4 and 1.8.
So, (1.4 + 1.8)/2 = 1.6 kg (not available in options)
Thus, 1.8 kg will be the typical mass.
Hence "The typical mass or most common mass among all given options is 1.8 kg".
To learn more about the frequency table,
brainly.com/question/12576014
#SPJ2
HELP! :))
If 35 liters of petrol cost $21.00, what is the price per liter?
Answer:
1.66$ per liter
Step-by-step explanation:
Hi there! I hope you're having a good day so far. :)
So this equation is quite simple. To write it out, you get:
35/21.00=?
All you need to do is get a calculator and put that in.
Then you will get 1.66666667, but to 'simplify' it, you just get 1.66 dollars per liter.
Therefore, the answer is 1.66$ per liter.
Helper's Message:
I hope this answer helped you! I wouldn't mind if you hit the 5-star rating or gave me a thank you. ☺️
-ChocoChocoCho
2.) Find the area of a rectangle with base length 10 cm and diagonal
length 15 cm. Hint: draw a picture
O(A) 111.8 cm
O (B) 150.0 cm
(C) 167.7 cm
O (D) 180.0 cm
PLEASE HELP! LINKS WILL BE REPORTED!
Answer:
its 125000
Step-by-step explanation:
so let's being with the fact the we have almost about 50 numbers and that there are 3 answers to it, so we do 50³=125000
Write the equation based on the picture and calculate the mass of the unknown package.
Answer:
Step-by-step explanation:
5x + 2 = 4 x + 7
x = 5
Answer:
5x + 4 = 4x + 7
x = 3
Step-by-step explanation:
Let's call the mass of the unknown package "x". The equation is:
2+2 + x+x+x+x+x = x+x+x+x + 2+5
5x + 4 = 4x + 7
Now let's solve for x
5x + 4 = 4x + 7
x + 4 = 7
x = 3
Can someone help me out please I don’t get this
3. Using the equation: A= 10 • log B, if A = 180, solve for B.
PLEASE HELP GIVING BRAINLIEST
Answer:
B=10^18
Step-by-step explanation:
A=10*log(B)
180=10*log(B)
18=log(B)
10^18=10^log(B)
10^18=B
Therefore, B=10^18
The price of a watch was increased by 20% to £162.
What was the price before the increase?
Answer: 135
Step-by-step explanation:
it increased by 20%
so the 162 is 120% of the first price
so if we multiply 162 by 100/120 we will get the first price
100/120=5/6 and 5/6*162 is 135
María Rodriquez Single-payment loan of $1,000 Interest rate of 7% Ordinary interest for 108 days What is the interest owed? What is the maturity value?
Answer:
$1,020.71
Step-by-step explanation:
Solving the equation:
A = 1000(1 + (0.07 × 0.29589)) = 1020.7123
A = $1,020.71