Answer:
288
Step-by-step explanation:
48÷2=24(9+3=12) =24×12=288
An oil tank in the shape of a cylinder has a diameter of 40 feet and a height of 32 feet. Which expression can be used to find the volume of the oil tank? Recall the formula V = pi r squared h.
Answer:
40217.6 cubic feet
Step-by-step explanation:
Given data
Diameter= 40feet
Radius= 20feet
Height=32feet
The expression for the volume is given as
V= πr^2h
Substitute
V= 3.142*20^2*32
V= 3.142*400*32
V=40217.6 cubic feet
Hence the volume of the tank is 40217.6 cubic feet
The length of a rectangular vegetable bed is 3 feet more than twice the width. The length of the fence around the bed is 36 feet. Find the length and with.
a) If the width of the rectangle is x, the equation is_.
b) The width of the vegetable bed is __, the length is __
Answer:
b) The width of the vegetable bed is 2x__, the length is 2x+3__
width = 5 feet
length = 13 feet
Step-by-step explanation:
length of a rectangular vegetable bed is 3 feet more than twice the width
l = 2x + 3
length of the fence around the bed is 36 feet
p = 2(l + x)
36 = 2(l + x)
18 = l + x
Substitute for l
18 = (2x + 3) + x
18 = 3x + 3
15 = 3x
x = 5
l = 2(5) + 3 = 13
Leo is working part time as a server in a restaurant. He makes $8.14 for each hour he works, and on average earns an additional $300 per week in tips. Which function, f(x), can Leo use to model his average weekly salary in terms of the number of hours, x, he works?
Answer:
f(x) = 8.14x + 300
Step-by-step explanation:
The function of 8.14x + 300 can be used to model Leo's average weekly salary in terms of x.
What is a function?' A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.'
According to the given problem,
Amount Leo earns for each hour he works = $8.14
Amount Leo earns in x hours = $8.14x
Amount Leo earns as additional tip per week = $300
Therefore, the function of x is,
⇒ f(x) = 8.14x + 300
Hence, we can conclude, the function that can be used to model his weekly salary is 8.14x + 300
Learn more about function here: https://brainly.com/question/9046022
#SPJ2
Can someone help me find the slope of line RK
Answer:
The slope is equal to (4-(-5))/(-4-(-6)) which is equal to 4.5
Answer:
the slope for line RK is
m = 2/9
Step-by-step explanation:
Express the following division in the form of a + bi: (1+3i)(2+i)
Answer:
[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]
Step-by-step explanation:
We proceed to present the procedure by algebraic means:
1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given
2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties
3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties
4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties
5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties
Drink sales for an afternoon at the school carnival were recorded in the table below.
What is the experimental probability that the next drink is a small coffee? Enter your
answer as a simplified fraction.
Given:
The table that represents the drink sales for an afternoon at the school carnival.
To find:
The experimental probability that the next drink is a small coffee.
Solution:
From the given table it is clear that,
The total number of drinks sold = 72+99+63+68+47+58
= 407
The number of small coffee sold = 63
Now, the experimental probability that the next drink is a small coffee is:
[tex]\text{Probability}=\dfrac{\text{Number of small coffee sold}}{\text{Total number of drinks sold}}[/tex]
[tex]\text{Probability}=\dfrac{63}{407}[/tex]
It cannot be simplified further.
Therefore, the experimental probability that the next drink is a small coffee is [tex]\dfrac{63}{407}[/tex].
Tristan records the number of customers who visit the store each hour on a Saturday. His data representing the first seven hours are 15, 23, 12, 28, 20, 18, and 23. How many customers visited the store during the eighth hour if the median number of customers per hour did not change?
16
19
20
23
Answer:
20
Step-by-step explanation:
The number of Customers that visited the store during the eight hour if the median number of customers didn't change is; C: 20
What is the Median?We are given the data representing the first seven hours as; 12, 15, 18, 20, 23, 23, 28. Here; n=7
Thus;
Median = (n + 1)/2 = (7 + 1)/2
Median = 4th term
Thus, the median is 20.
When one data is added, n = 8. Thus;
Median will be the average of the 4th and 5th term. Since the median does not change, it means that the median number of customers per hour is still 20.
Read more baout Median at; https://brainly.com/question/1552529
18. Find the length of the segment indicated. Round your answer to the
nearest tenth if necessary.
Answer:
b. 6.2
Step-by-step explanation:
x =√18.2²-17.1² =√331.24- 292.41
= √38.83 = 6.2
3. Which number represents 5.33 written
533/100 then simplify
5 and 33/100
But that isn't an option and none of those options convert into 5.33, and I haven't been able to solve 3.75 repeating yet nor think it would convert into 5.33 anyhow. Please correct me if I'm solving this wrong.
PLEASSSS ANSWERRR
Josh offers to buy a team photo for 10 of his teammates,
but 2 of them don't want one.
If a team photo costs $4, how much will Josh spend on his teammates?
Answer:
ok lets turn this into a equation
x=4(10-2)
x=4(8)
X=32
so josh will spend 32 dollars on his team mates
Your Welcome
BIFFY OUT!!!
Answer:
The expression is 4(10 - 2).
Josh will spend $32
Step-by-step explanation:
Hope It HEPLS :D
Yolanda makes wooden boxes for a crafts fair. She makes 300 boxes like the one shown, and she wants to paint all the outside faces.
Answer:
1800
Step-by-step explanation:
cube have 6 faces
6*300=1800
what two numbers that multiply to 20 and add to 9
Answer:
4 and 5
Step-by-step explanation:
4+5=9
4*5=20
Answer:
5 an 4
Step-by-step explanation:
If you add 5+4 you get 9
And if you multiple 5×4 you get 20
can you help me with these problems i need them ASAP!!!!!!
Answer:look it up on quizlet its easier
Step-by-step explanation:
Which of the following is equivalent to 7a^4 + 3a^4?
(7+ 3)a^4
(7 + 3)a^4+4
(7 • 3)a^4+4
(7 • 3)a^4
what is the area pls
Answer: 66
Step-by-step explanation: 12x5=60
2x3=6
60+6=66
Where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when I = 10 Superscript 32 Baseline (I Subscript 0)?
Answer:
[tex]I(db)=320[/tex]
Step-by-step explanation:
Given
[tex]I(db)=10\log(\frac{I}{I_o})[/tex]
[tex]I = 10^{32}(I_o)[/tex]
Required
Determine [tex]I(dB)[/tex]
We have:
[tex]I(db)=10\log(\frac{I}{I_o})[/tex]
Substitute [tex]I = 10^8(I_o)[/tex]
[tex]I(db)=10\log(\frac{10^{32}(I_o)}{I_o})[/tex]
[tex]I(db)=10\log(10^{32})[/tex]
Apply law of logarithm
[tex]I(db)=10*32\log(10)[/tex]
[tex]\log(10) = 1[/tex]
So:
[tex]I(db)=10*32*1[/tex]
[tex]I(db)=320[/tex]
If you were to pick one day of the year at random, is it more likely that the day would be a Tuesday or that the day would fall during the month of January?
Answer and explain in your own words why you chose what you chose.
Answer: It's more likely it's a Tuesday
========================================================
Explanation:
The odds of it being a Tuesday is 1/7 since there's 1 day of the week that's Tuesday out of 7 total.
The odds of it being January is 1/12 because we have 1 month we want out of 12 total.
Now the question is: which fraction is larger?
For now, assume they are equal. We'll cross multiply like so
1/7 = 1/12
1*12 = 7*1
12 = 7
We get a false statement at the end, but we can fix things by replacing the equal sign with a greater than sign to get this new set of steps
1/7 > 1/12
1*12 > 7*1
12 > 7
which leads us to a true statement. Therefore, 1/7 is the larger fraction and the more likely event.
-----------------
Alternatively, you can use your calculator to find that:
1/7 = 0.143 approximately1/12 = 0.083 approximatelyThen for each decimal, move the decimal point 3 spots to the right. The values 0.143 and 0.083 become 143 and 83 respectively. We can see that 143 is larger, which means 0.143 is larger, and lastly 1/7 is larger. Think of it like a chain.
what is the ordered pair for 90 degrees on a unit circle
the following statements is are true regarding the figure above
Answer:
a and b
Step-by-step explanation:
it is a point and a point is a zero demensional object.
Calculate the value of c in the following square using the information given.
с
W.
Х
10.6 cm
b
Z
0
c = 15 cm
c = 16 cm
c = 17 cm
O c = 18 cm
9514 1404 393
Answer:
c = 15 cm
Step-by-step explanation:
The congruent diagonals are perpendicular bisectors of each other, so ∆WVX is an isosceles right triangle. The length of c is √2 times the length WV, so is ...
c = (√2)(10.6 cm) ≈ 15.0 cm
what is the square root of 7 9/16
Answer: 11/4
Step-by-step explanation:
Please look into the attachment.
If it was helpful then please make sure to mark it as Brainlist.
Thanks!
Answer:
2.75
Step-by-step explanation:
So to figure this out, lets start by converting it into a inproper fraction.
So we know that the whole number is 7, and the denominator is 16, so we need to multiply them together to make our fraction improper:
7*16
=
112
Now add the 9 from what we already had of the fraction:
112+9
=
121
So our improper fraction is:
121/16
Now we must find the square root.
So to find the square root of a fraction, you have to take the square root of both the numerator and the denominator.
The square root of 121 is 11. We know this because 121 is a perfect square, and 11*11 makes 121.
The square root of 16 is 4. We know this as well because 16 is also a perfect square, and 4*4 makes 16.
So the square root of 121/16 is now:
11/4
If you need to, you can convert this into a mixed fraction or a decimal.
4 goes into 11, 2 times with a remander of 3. So:
2 3/4.
3/4 is equivelent to 0.75, so this can also be:
2.75
This is your answer!
Hope this helps!
A geometric sequence has an initial value of 9 and a common ratio of 5. What function could represent this situation?
Answer:
The functions that represent this situation are A and C.
Step-by-step explanation:
A geometric sequence goes from one term to the next by always multiplying or dividing by the same value.
In geometric sequences, the ratio between consecutive terms is always the same. We call that ratio the common ratio.
This is the explicit formula for the geometric sequence whose first term is k and common ratio is r
Solve the expression for a=12, b=6 and c=3
Answer:
39
Step-by-step explanation:
=6^2+12-3^2
=36+12-9
=48-9
=39
hope this helps
*
What is the y-intercept of the function f(x)= 5•1/6^x
A. 0, 5
B. 0, 5/6
C. 5, 0
D. 0, 1/6
Helpppppppppppppppl
I think the answer is 3/8...
Answer:
3/8
Step by step explanations:
The number line is an eighth number line so therefore it's 3/8.
the area of a circle is 100 square miles. What is the diameter?
Answer:
The diameter of a circle with an area of 100 square miles is 20/√π miles.
Step-by-step explanation:
Area =100 = πr^2.
diameter = d = 2r.
100 = πr^2.
100/π = r^2.
√(100/π) = r.
10/√π = r.
d = 2r.
d = 2 * 10/√π.
d = 20/√π
which of this a values are solutions to the following equation a^2=6.4 choose all answers that apply
Answer:
None of the above
Step-by-step explanation:
a^2=6.4
Take the square root of each side
sqrt(a^2) = sqrt(6.4)
a =±2.529822128
Luigi decided to grab lunch at Howell's Cafe with his friends. The bill for their meals was the $36.50. The restaurant charges a 7% tax. How much is the total bill?
Answer:
$39.055
Step-by-step explanation:
100% + 7% = 107%
[tex]\frac{y}{36.5} :\frac{107}{100}[/tex]
y · 100 = 107 · 36.5
100y = 3905.5
100y ÷ 100 = 3905.5 ÷ 100
y = 39.055
(12y²+17y-4)+(9y²-13y+3)
which transformation is represented in the diagram
Answer:
C reflection
Step-by-step explanation:
