3. A solid cylinder has a radius of 6cm and a height of 20cm.
a. Calculate the volume of the cylinder. Give your answer correct to 3 significant figures.
b. The cylinder is made of a material that has a density of 1.5g/cm3. Calculate the mass of the cylinder. Give your answer correct to 3 significant figures.
4. The diagram shows a right-angled triangular prism.
Answer:
a) 2260 cm³
b) 3390 grams
Step-by-step explanation:
3.
a)The radius of the solid cylinder = 6cm
The height of the cylinder is =20 cm
The volume = π*r²*h
The volume = 3.14 * 6²*20 =2260 cm³
b) Density of the material = 1.5 g/cm³
Volume of the cylinder = 2261 cm³
Mass of the cylinder = Density * Volume
Mass of the cylinder = 1.5 * 2261 = 3390 grams
which property is used in the following? 2(8+9)= 2*8+2*9
a. None of the above
b. Association property
c. Commutative property
d. Multiplication property of zero
Answer:
A) None of the above
Step-by-step explanation
it's distributive property
You can spend no more than $100 on a party you are hosting the cost per guest is eight dollars what is the number of the guests
Answer:
its.12.5
Step-by-step explanation:
but if you round it up it can be either 13 or 12 but i would stick with 12 cause you cant round it up for guests since you know real life and if you stay at 12 they hey stay at 12
Answer:
12
Step-by-step explanation:
100÷8=12.5
can't have half of a person
If these two shapes are similar, what is the measure of the missing length g?
Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy. If there are no possible solutions, submit an empty answer.
Answer:
The maximum amount of apples she could buy is 7
Step-by-step explanation:
3 mangos would be 4.50 dollars. Subtract that from her current amount of money (20 dollars). You would get 15.5 dollars. Then, find how many apples she can buy with 15.5 dollars. You can't buy 8 because that would be above 15.5. So do the next smallest amount, 7.
Jasmin can walk 1/4 mile every 1/5 hour. At this rate, how far can Jasmin
walk in one hour?
Answer:
hope this helps :)
Step-by-step explanation:
Since we know how far she can walk in 1/5 (one fifth) of an hour, if we multiply this distance by 5, we will find out how far she can walking in 5/5 (five fifths) of an hour, or to be clear: in one hour.
So, 5 x 1/4 miles = 5/4 or 1.25 miles per hour
Jazmeen can walk 1.25 miles in one hour.
Stan spent $440 on 8 chairs. To find out how much he
spent on each chair, he did the following work in long
division.
Answer:
the answer is there should be another digit in the quotient
Answer:
No, because there should be another digit in the quotient
PLEASE HELP I NEED TO SHOW WORK WILL GIVE BRAINLIST
Answer:
Jahmya's Lunch cost more
Step-by-step explanation:
Stephen's Lunch
(Garden Salad) 2.29(Veggie Burger) 4.75(Lemonade) 1.292.29 + 1.29 = 3.583.58 + 4.75 = 8.33Total Cost = $8.33Jahmya's Lunch
(Fruit Salad) 2.89(Sandwich) 4.59(Water) 1.392.89 + 4.59 = 7.487.48 + 1.39 = 8.87Total Cost = $8.87HELP HELP HELP First to HELP gets the brainliest :D
Answer:
[tex]y= -\frac{1}{3}x -6[/tex]
Step-by-step explanation:
Using the slope formula, you can form this equation! The slope of any equation would replace the m, and the y intercept would replace b!
I added in the slope formula at the bottom, just in case, so you'll see what I mean!
I hope this helps, and I explained enough! Have a great day c:
5. Which of the following statements is true?
(a) Two acute angles can be complementary to each other
(b) Two obtuse angles can be complementary to each other
(c) Two right angles can be complementary to each other
(d) One obtuse angle and one acute angle can be complementary to each other
The Temperature is 50F. The temperature will decrease by 4F each hour. Let h be the numbers of hours.
When will the temperature below 32F
Write inequality for this equation.
C. and D. arrows are suppose to have lines under them.
A. 50 - 4h< 32
B. 50 + 4h < 32
C. 50 + 4h <_32
D. 50 - 4h <_ 32
Answer:
a. 50 - 4h < 32
Step-by-step explanation:
The question is "When will the temperature be below 32F?" so it can't be less than or equal to (≤), it has to be less than (<).
If the temperature is decreasing every hour you have to decrease 4 for each hour.
hope that helps!
The quotient of 8 divided by 1/5 will be _____ 8.
Answer:
5
Step-by-step explanation:
Answer:
Less Than :)
Step-by-step explanation:
What is the value of the expression shown below?
Please use the photo for whole question, it shows the answers.
Answer:
It should be
Step-by-step explanation:
B.23 1/4Find the slope of a line parallel to the given line. y=4/5x+5
Answer:
y = 4/5x
Step-by-step explanation:
Her ya go!
Evaluate
(0.3)*4= plplpl
Answer:
1.2
Step-by-step explanation:
0.3 * 4
= 3 * 0.1 * 4
= 3 * 4 * 0.1
= 12 * 0.1
= 1.2
Find the antiderivative of f (x) = 10x4 + 12.5.
Answer:
The anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
Step-by-step explanation:
Given the function
[tex]\:f\left(x\right)=10x^4\:+\:12.5[/tex]
Taking the anti-derivative of f(x)
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:[/tex]
[tex]\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx[/tex]
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
Solving
[tex]\int 10x^4dx[/tex]
[tex]\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx[/tex]
[tex]=10\cdot \int \:x^4dx[/tex]
[tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1[/tex]
[tex]=2x^5[/tex]
similarly,
[tex]\int 12.5dx[/tex]
[tex]\mathrm{Integral\:of\:a\:constant}:\quad \int adx=ax[/tex]
[tex]=12.5x[/tex]
so substituting these values
[tex]\int \left(10x^4\:+\:12.5\right)\:dx\:=\int \:10x^4dx+\int \:12.5dx[/tex]
[tex]=2x^5+12.5x[/tex]
[tex]=2x^5+12.5x+C[/tex] ∵ Add constant to the solution
Therefore, the anti-derivative of f(x) will be:
[tex]\int \:10x^4+12.5dx=2x^5+12.5x+C[/tex]
A pancake recipe calls for 4 of a cup of powdered milk and 2 cups of whole wheat flour for each batch of pancakes.
If Ruby plans on making 4 batches of pancakes, how many combined cups of powdered milk and whole wheat finur does she need?
9514 1404 393
Answer:
24 cups
Step-by-step explanation:
One batch takes a combined total of 4 + 2 cups = 6 cups of milk and flour. Then 4 recipes will take ...
4 × 6 cups = 24 cups . . . combined
D. Evaluate each of the following. (5 points)
Let f(x) =x+1/x
1. f(1)
2. (f •f)(1)
3. (f•f•f)(1)
4. (f•f•f•f)(1)
5. (f•f•f•f•f)(1)
Problem 1
f(x) = x + 1/x
f(1) = 1 + 1/1
f(1) = 1 + 1
f(1) = 2
Answer: 2
============================================
Problem 2
(f o f)(1) = f( f(1) )
(f o f)(1) = f( 2 )
(f o f)(1) = 2 + 1/2
(f o f)(1) = 4/2 + 1/2
(f o f)(1) = 5/2
Answer: 5/2
============================================
Problem 3
(f o f o f)(1) = f( f(f(1)) )
(f o f o f)(1) = f( (f o f)(1) )
(f o f o f)(1) = f( 5/2 )
(f o f o f)(1) = 5/2 + 1/(5/2)
(f o f o f)(1) = 5/2 + 2/5
(f o f o f)(1) = 25/10 + 4/10
(f o f o f)(1) = 29/10
Answer: 29/10
============================================
Problem 4
(f o f o f o f)(1) = f( f(f(f(1)) )
(f o f o f o f)(1) = f( (f o f o f)(1) )
(f o f o f o f)(1) = f( 29/10 )
(f o f o f o f)(1) = 29/10 + 1/(29/10)
(f o f o f o f)(1) = 29/10 + 10/29
(f o f o f o f)(1) = 841/290 + 100/290
(f o f o f o f)(1) = 941/290
Answer: 941/290
============================================
Problem 5
(f o f o f o f o f)(1) = f( f(f(f(f(1)))) )
(f o f o f o f o f)(1) = f( (f o f o f o f)(1) )
(f o f o f o f o f)(1) = f( 941/290 )
(f o f o f o f o f)(1) = 941/290 + 1/(941/290)
(f o f o f o f o f)(1) = 941/290 + 290/941
(f o f o f o f o f)(1) = 885481/272890 + 84100/272890
(f o f o f o f o f)(1) = 969581/272890
Answer: 969581/272890
A function assigns the values. The value of (f•f•f•f•f)(1) is 969581/272890.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
1.)
The value of f(1) for the given function f(x) =x+1/x can be calculated as shown below,
f(x) = x + 1/x
f(1) = 1 + 1/1
= 1 + 1
= 2
2.)
(f · f)(1) = f( f(1) )
Since the value of f(1)=2, therefore, it can be rewritten as,
(f · f)(1) = f(2)
= 2 + 1/2
= 4/2 + 1/2
= 5/2
3.)
(f · f · f)(1) = f( f(f(1)) )
Since the value of f(f(1))=5/2, therefore, it can be rewritten as,
(f · f · f)(1) = f( (f·f)(1) )
= f( 5/2 )
= 5/2 + 1/(5/2)
= 5/2 + 2/5
= 25/10 + 4/10
= 29/10
4.)
(f · f · f · f)(1) = f( f(f(f(1)) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f · f · f · f)(1) = f( (f·f·f)(1) )
= f( 29/10 )
= 29/10 + 1/(29/10)
= 29/10 + 10/29
= 841/290 + 100/290
= 941/290
5.)
(f · f · f · f · f)(1) = f( f(f(f(f(1)))) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f o f o f o f o f)(1) = f( (f·f·f·f)(1) )
= f( 941/290 )
= 941/290 + 1/(941/290)
= 941/290 + 290/941
= 885481/272890 + 84100/272890
= 969581/272890
Hence, the value of (f•f•f•f•f)(1) is 969581/272890.
Learn more about Function here:
https://brainly.com/question/5245372
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Matt is helping to set up drinks and snacks for a luncheon.
Matt has 4.8 liters of iced tea. He is going to pour this into pitchers that can each only hold 0.8 liters of iced tea.
If Matt pours an equal amount of iced tea into each pitcher, how many pitchers does he fill?
Answer:
he will fill 6 pitchers
Step-by-step explanation:
4.8÷0.8=6
What percent is equivalent to 2/3
66 1/3
66 3/5
66 2/3
66 7/10
Answer:
66 2/3
Step-by-step explanation:
(2/3)(100) = 66 2/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Question reads....}[/tex]
[tex]\large\textbf{What percent is equivalent to }\rm{\bf \dfrac{2}{3}}\large\textbf{ ?}[/tex]
[tex]\huge\textbf{Let's simplify the current fraction}\\\huge\textbf{to find the overall result to this question.}[/tex]
[tex]\mathbf{\dfrac{2}{3}}[/tex]
[tex]\mathbf{= 2\div3}[/tex]
[tex]\mathbf{= 0.66666667}[/tex]
[tex]\mathbf{= 0.66666667 \times 100}[/tex]
[tex]\mathbf{= 66.6666667\%}[/tex]
[tex]\mathbf{\approx 66.67\%}[/tex]
[tex]\huge\textbf{Let's do process of elimination to find}\\\huge\textbf{the fraction that is equivalent to yours.}[/tex]
[tex]\huge\textsf{Option A.}[/tex]
[tex]\mathbf{66 \dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{66\times3+1}{3}}[/tex]
[tex]\mathbf{= \dfrac{198 +1}{3}}[/tex]
[tex]\mathbf{= \dfrac{199}{3}}[/tex]
[tex]\mathbf{= 199\div3}[/tex]
[tex]\mathbf{= 66.3333333}[/tex]
[tex]\mathbf{= 66.3333333 \times100}[/tex]
[tex]\mathbf{= 6,633.33333\%}[/tex]
[tex]\mathbf{\approx 6,633.33\%}[/tex]
[tex]\huge\textsf{This eliminates Option A. as your result.}[/tex]
[tex]\huge\textsf{Option B.}[/tex]
[tex]\mathbf{66 \dfrac{3}{5}}[/tex]
[tex]\mathbf{= \dfrac{66\times5 + 3}{5}}[/tex]
[tex]\mathbf{= \dfrac{330 + 3}{5}}[/tex]
[tex]\mathbf{= \dfrac{333}{5}}[/tex]
[tex]\mathbf{= 333\div5}[/tex]
[tex]\mathbf{= 66.6}[/tex]
[tex]\mathbf{= 66.6 \times 100}[/tex]
[tex]\mathbf{= 6,660}[/tex]
[tex]\mathbf{\approx 6,660\%}[/tex]
[tex]\huge\textsf{This eliminates Option B. as your result.}[/tex]
[tex]\huge\textsf{Option C.}[/tex]
[tex]\mathbf{66 \dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{66\times3+2}{3}}[/tex]
[tex]\mathbf{= \dfrac{198 + 2}{3}}[/tex]
[tex]\mathbf{= \dfrac{200}{3}}[/tex]
[tex]\mathbf{= 200\div3}[/tex]
[tex]\mathbf{= 66.6666667}[/tex]
[tex]\mathbf{= 66.6666667\times100}[/tex]
[tex]\mathbf{= 6,666.66667}[/tex]
[tex]\mathbf{\approx 6,666.67\%}[/tex]
[tex]\huge\textsf{This eliminates Option C. as your result.}[/tex]
[tex]\huge\textsf{Option D.}[/tex]
[tex]\mathbf{66\dfrac{7}{10}}[/tex]
[tex]\mathbf{= \dfrac{66\times10 +7}{10}}[/tex]
[tex]\mathbf{= \dfrac{660 + 7}{10}}[/tex]
[tex]\mathbf{= \dfrac{667}{10}}[/tex]
[tex]\mathbf{= 667\div10}[/tex]
[tex]\mathbf{= 6.67}[/tex]
[tex]\mathbf{= 6.67\times100}[/tex]
[tex]\mathbf{= 6,670}[/tex]
[tex]\mathbf{\approx 6,670\%}[/tex]
[tex]\huge\textsf{This eliminates Option D. as your result.}[/tex]
[tex]\huge\textbf{It seems like none of the above matches }\\\huge\textbf{the original fraction, so we will use the}\\\huge\textbf{that is close to the original answer.}[/tex]
[tex]\huge\textbf{The closest answer was:}[/tex]
[tex]\mathbf{66 \dfrac{2}{3}}[/tex]
[tex]\huge\textbf{Therefore the answer MIGHT be:}[/tex]
[tex]\huge\boxed{\mathsf{Option\ C. \ 66 \dfrac{2}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]COMPLETE THE TABLE PICTURED: A robot is put into a maze, it can only go N, E, S, and West. The value i represents the north, and the magnitude is equal to 1. I have figured out that N= i, East= 1, South= -i, and West= -1. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. When the robot makes a turn, it would be useful to have an operation to perform on d to represent this turn. This is because after making a turn, the new value of d will depend on the old value of d. Complete the table for the new values of d if the robot is turning left or right. Then determine an expression in terms of d that will give the new position if the robot turns left and another expression if the robot turns right. Type these expressions in the last row of the table.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A right turn represents a clockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by -i.
A left turn represents a counterclockwise rotation of the direction vector by 90°. It is equivalent to multiplying the complex number representation by i.
The attached table shows the desired values and expressions.
Step-by-step explanation:
[tex]\boxed{\begin{array}{c|c|c} \underline{Intial -d} & \underline {Left-turn} & \underline{Right-turn} \\ -1 & -i & i \\ 1 & i & -i \\ i & -1 & 1\\ -i & 1 & -1 \\ d & di & -di \end{array}}[/tex]
factorise the following fully:
6a⁴b⁶-8a³b⁵+12a²b³
Answer:
2a^2 b^3(3a^2 b^3 - 4ab^2 + 6)
Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.
Answer:
S(-2, -3)
Step-by-step explanation:
Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;
S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;
x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1
Substitute the values into the formula;
X = ax2+bx1/a+b
X = 3(-1)+1(-5)/3+1
X = -3-5/4
X = -8/4
X = -2
Similarly;
Y = ay2+by1/a+b
Y = 3(-5)+1(3)/3+1
Y = -15+3/4
Y = -12/4
Y = -3
Hence the coordinate of the point (X, Y) is (-2, -3)
y> 3x +3
1
yer - 2
트로
Answer:
Is this in a different language?
Step-by-step explanation:ok:)
3. Estimate the quotient. Round the divisor first. 482 ÷61=
Answer:
8.033
Step-by-step explanation:
A gym charges each member $100 for a membership fee and $30 per month after that. How much money will a member spend after 6 months
Answer:
280
Step-by-step explanation:
Month 1: 100 + 30 = 150
Month 2: +30
Month 3: +30
Month 4: +30
Month 5: +30
Month 6: +30
Total: 280
Hope this helps!
Answer:
$280
Step-by-step explanation:
For this problem, we simply need to take the initial cost of membership and add that to the reoccurring cost from a time period, in this case, 6 months. So let's make an equation to represent this.
The initial cost is $100
The per month cost is $30
Total cost after 6 months = Inital cost + Per Month Cost * 6 months
Total cost = $100 + $30 * 6
Total cost = $100 + $180
Total cost = $280
Thus, a member will spend $280 after 6 months on the membership.
Cheers.
What's greater -5/7 or -2/7
I think -2/7.
-2/7 is closer to 0 which is neither positive nor negative.
-5/7 is closer to a whole negative number.
Boris used 2/3/5 gallons of gas on Friday and 5/1/4 gallons of gas on saturday, how many gallons did he use on the two days combined
Answer:
Exact form: 157/20
Decimal Form: 7.85
Mixed Number Form: 7/17/20
Step-by-step explanation:
Maya has a dog and it wants to be pet
Answer:
so what is the question?
Ray EF is the bisector of angle AET. Find the measure of angle FEA.* 70° E A Your answer
Answer:
<FEA is 70 degrees. It is already given.