A metal cyllinder is hollow in the middle. The cylinder is 40 mm long. The hollow center has a radius of 15 mm. The radius from the hollow center to the edge of the metal cylinder is 34 mm. What is the total volume of metal that makes up the cylinder? Leave your answer in terms of \large \pi and round to the nearest hundredth if necesarry. V = \large \pi mm3
Answer:
Answer is in picture and explanation below.
Step-by-step explanation:
Continuing from the picture,
Area of Metal base = Area of Bigger Circle - Area of Hollow Circle
=
[tex]1156\pi {mm}^{2} - 225\pi {mm}^{2} \\ = 931\pi {mm}^{2} [/tex]
Volume of Cylinder = Area of Metal base x Height (Length in this case)
=
[tex]931\pi {mm}^{2} \times 40 \\ = 37240\pi {mm}^{3} [/tex]
multiply. 4x(y+x+z)
please help
Answer:
4xy + 4x² + 4xz
Step-by-step explanation:
4x(y+x+z)
4xy + 4x² + 4xz
Answer:
4xy+4x^2+4xz
Step-by-step explanation:
You would just factor the first 4x to the rest of the terms and if they are different letters just tack them on at the end, in the case of 4x times x it would square to 4x^2
Help with the this question pleaseeee
Answer:
32x - 8
Step-by-step explanation:
A = LW
A = (8x - 2)(4)
A = 32x - 8
What mathematical operation is used in a check register when a withdrawal is made?
Group of answer choices
Answer:
Subtraction
Step-by-step explanation:
In general, there are two things you can do with savings:
withdraw or deposit.
Withdraw essentially means to take out money and deposit is converse.
These two processes can be associated with the mathematical operations subtraction and addition respectively.
HELP ME PLEASE ITS DUE TODAY!!!!
Step-by-step explanation:
[tex] - 5 - ( - 4) = - 5 + 4 = - 1 \\ - 4 - ( - 5) = - 4 + 5 = 1 \\ - 4 - (5) = - 4 - 5 = - 9 \\ 4 - ( - 5) = 4 + 5 = 9[/tex]
Therefore ranking them from least to most:
[tex] - 4 - (5) \\ - 5 - ( - 4) \\ - 4 - ( - 5) \\ 4 - ( - 5)[/tex]
I need help with this please
Answer:
Part A
2·a + b ≤ 14
Part B
Please find attached the graph of the inequality created with Microsoft Excel
Part C
1) 4 pounds of apples + 8 pounds of bananas
2) 8 pounds of apples + 6 pounds of bananas
Step-by-step explanation:
Part A
The amount Tony has to buy apples and bananas = $14
The cost of apples per pound = $2
The cost of bananas per pound = $1
Let 'a' and 'b' represent the number of apples and bananas Tony buys respectively, we have;
2·a + b ≤ 14
Part B
In order to plot the inequality, we make one of the variables the subject of the inequality as follows;
b ≤ 14 - 2·a
The above inequality can be plotted with Microsoft Excel and the feasible region shaded as shown in the attached diagram
Part C
Two possible combinations of pounds of apples and bananas that Tony can buy are;
1) 4 pounds of apples and 8 pounds of bananas which gives 2 apples and 8 bananas
2) 8 pounds of apples and 6 pounds of bananas which gives 4 apples and 6 bananas
HELP giving brainlest and more points
Answer:
2970
Step-by-step explanation:
I hope it helped :) if it didnt just message me since in confused whats the dot between the 6.3 and 10²
Answer:
2.97*10^3
Step-by-step explanation:
You have to solve it first so you have 2970 as your answer but you want it in scientific notation. To do this put the decimal after the first number this gives you 2.970. Whenever you need to make the number bigger you use a positive power and whenever you want to make a number smaller you use a negative power. The amount of powers the 10 gets is the amount of times you move it over. You have 2.970 and to get to the original number you need to move it 3 places to the right. Going to the right with your decimal makes it bigger which what you want, so you have 2.970*10^3 as your answer.
Tatiana has 894 flowers. She is making bouquets with 8 flowers in each bouquet. When she is done making all of the bouquets, how many flowers will she have left over? *
Answer:
6
Step-by-step explanation:
The remainder when 8 divides 894 is 6. So, she will be left with 6 flowers.
help. i’ll give brainliest & thank you!!
Answer:
The line with a slope of 1/2 is steeper
Step-by-step explanation:
Here, we want to get which slope is steeper
mathematically, when we want to know the line that has a steeper slope, we compare the value of the slopes
The line with a slope that is of greater value will be steeper
Mathematically, 1/2 is a greater number than 1/3
That simply means 1/3 is less steep and thus, the line with the slope of 1/2 is the steeper line
i will give brainlest if u help me last one
Answer:
1) 22/20 = 1.1
2) 18/15 = 1.2
3) No, because they both are different values and their slopes are different.
Hope this helps :)
Brainliest?
If a dolls cup holds 2ml, how many cups would it take to fill a doll's 10ml bottle
Answer:
it would take 5 dolls cups
Can someone help me
Answer:
Pattern A starts at 0 and uses the rule Add 2
Pattern B starts at 0 and uses the rule Add 3.
hope this helps
Find the slope of the line through (4,−5) and (−2,1).
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 5) and (x₂, y₂ ) = (- 2, 1)
m = [tex]\frac{1+5}{-2-4}[/tex] = [tex]\frac{6}{-6}[/tex] = - 1
Answer:
-1
Step-by-step explanation:
To find the slope, plug the values of x and y into the slope formula.
y2 - y1 / x2 - x1
1 - (-5) / - 2 - 4
6 / -6
= -1
Robert wants to purchase a skateboard for $109.98. He will also have to pay a 6.5% sales tax,
a) How much did he pay in tax?
b) What is the total cost of the skateboard?
Helpppppppppppppp im trappppedddddddddddd plsssssssssssssssssssss hel[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[ppppppppppppppppppppppppppppppppp
Answer:
$117.13
Step-by-step explanation:
Hope this answers your question and have a great day!
Which expression is equivalent to
2x +3 - 3x + (-2)
A x + 5
B 12
12x - 1
x + 1
D 1 - 1
Answer:
-x + 1
Step-by-step explanation:
First, rewrite 2x +3 - 3x + (-2) as 2x +3 - 3x - 2. Note that +(-2) = -2.
Next, combine like terms. We get -x + 1.
Double check to determine whether this is one of the given possible answers.
Just need some help pls! : )
Answer:
B. 3
Step-by-step explanation:
Between June 2017 and June 2018, the price of gasoline increased by 25%. If the price
of gasoline was $3.00 per gallon in June 2018, what was the price of gasoline in June
2017?
Answer:
$2.4
Step-by-step explanation:
2018 June 2017June
125 100
1 0.75
Therefore, 3= 100x3/125
=300/125
=$2.4
hope it helps:D
plz mark me as brainliest
Sonya randomly surveys 26 seventh graders to gather data about the amount of time spent each week using the Internet. Sonya records the data in the dot plot shown. What is the median of the data set?
What is the mean and the median
Answer:
You're lucky I have the dot plot, other wise this could not be answered.
Median: 7.5
Mean: 7.5
Yes, they are both 7.5.
1. Evaluate the following expression. Write your answer WITHOUT any exponents. (52)8 x 5-9
Answer:
The answer is 2080x - 9
Hope this helps
what are air and water called??
watir??
Answer:
aired water
Step-by-step explanation:
dunno sjdnsnwndnejeej hi
hello
Let f(-x) = 5x – 2 and g(x) = 2x + 3 and find f(x) –
f(0) — 9(x) = 7x – 1
f(.2) – 9(x) = 7x + 1
f(x) — 9(2) = 3x – 5
f(x) – 9(x) = -3x +5
Answer:
3x - 5
Step-by-step explanation:
Given that f(x) = 5x - 2 and g(x) = 2x+3
f(x) - g(x) = 5x-2 - (2x+3)
Expand
f(x) - g(x) = 5x - 2 - 2x - 3
Collect like terms
f(x) - g(x) = 5x - 2x -2-3
f(x) - g(x) = 3x - 5
Hence the required answer is 3x - 5
A store bought a hand-crafted toy chest at a cost of $921.60 and marked it up 115%. Sebastian bought it and paid 2% sales tax. What was his total cost?
NO LINKS
Answer:
2,021.07
Step-by-step explanation:
Just because
Answer:
$927.84
Step-by-step explanation:
what is the area of this figure?
Answer:
963^2ft
Step-by-step explanation:
i think, sorry if it's wrong
Answer:
346 inches
Step-by-step explanation:
pls hurry i need answers
Answer:
option D
Step-by-step explanation:
What fraction is equivalent to 3/12?
A.12/48
B.1/4
C.18/60
D.24/96
Arul performed an experiment to determine which crank powered radio works best. He cranked 15 randomly selected radies of each brand 30 times at the same speed and measured how long the radies played in minutes before running out of power the results of the experiment are displayed in the box plots below
Answer:
50%
Step-by-step explanation:
Please help me with this
can someone please help me
Solve the triangle using the Law of Sines. (Assume a = 7.1, b = 2.9, and ∠A = 70°. Round the length to one decimal place and the angles to the nearest whole number.)
Answer:
sides
a=7 (rounded)
b=3 (rounded)
c=8 (rounded)
angles
A=70
B=22.57
C=87.43
Step-by-step explanation:
a . given
b . given
c = a·sin(C)/sin(A)=7.54806
A . given
B = arcsin (b·sin(A)/a) = = 0.39393 rad = 22.57° = 22°34'13"
C = 180° - A - B = 1.52593 rad = 87.43° = 87°25'47"
please help me solve this equation
Answer:
-85
Step-by-step explanation:
We are given the equation [tex]E^8_{n=1}[/tex][tex](-2)^{n-1}[/tex] and are asked to evaluate it.
This can be solved using the geometric sequence, but first we have to determine our "r", "n", and [tex]a_{1}[/tex].
Of course [tex]a_{1}[/tex] is equal to 1. Therefore,
[tex]a_{1[/tex] = 1
[tex]r=[/tex]
[tex]n=[/tex]
(-2) is the change per number in the sequence, therefore -2 is our "r".
[tex]a_{1[/tex] = 1
[tex]r=-2[/tex]
[tex]n=[/tex]
The number "8" on [tex]E^8_{n-1}[/tex] represents the "n". Therefore 8 is our "n".
[tex]a_{1}=1[/tex]
[tex]r=-2[/tex]
[tex]n=8[/tex]
Use the geometric sequence sum formula and substitute :
[tex]a_{1} \frac{1-r^n}{1-r}[/tex]
[tex]1* \frac{1-(-2)^8}{1-(-2)}[/tex]
[tex]1* \frac{1-(-2)^8}{1+2}[/tex]
[tex]1* \frac{1-256}{1+2}[/tex]
[tex]1* \frac{-255}{3}[/tex]
[tex]1 * -85[/tex]
[tex]-85[/tex]