Answers
Related Questions
What is the factorization of the polynomial below x^2-3x-40
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________
Q #7 please solve the equation
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a = 640s
where,
a = number of acres
s = number of square miles
We are to find the number of acres for 7.5 square miles.
This means, s = 7.5
Using the value in the formula, we get:
a = 640 x 7.5 = 4800 acres
So the answer to this question is option B
Determine whether the series is convergent or divergent by expressing sn as a telescoping sum. ∞ 4 n(n + 2) n = 1
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∞ 4n(n +2)n = 1
The figure is made up of a cylinder and a half sphere. What is the volume of the composite figure? Round to the nearest hundredth.
radius: 4mm
cylinder length: 7mm
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[volume of the composite figure]=volume of cylinder + volume hemisphere
volume cylinder=pi*r²*h
r=4 mm
h=7 mm
volume cylinder=pi*4²*7----> 351.68 mm³
volume of hemisphere=(4/6)*pi*r³
r=4 mm
volume of hemisphere=(4/6)*pi*4³----> 133.97 mm³
[volume of the composite figure]=351.68+133.97----> 485.65 mm³
a cone with radius 2 feet and height 8 feet is shown.
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The volume of the cone is approximately 33.51 cubic feet when rounded to the nearest hundredth
Use the formula for the volume of a cone, which is:
[tex]V = \frac{1}{3} \pi r^2 h[/tex]
Where:
[tex]V[/tex] is the volume of the cone,[tex]r[/tex] is the radius of the base of the cone,[tex]h[/tex] is the height of the cone.Given:
Radius [tex]r = 2\;\text{ft}[/tex]Height [tex]h = 8\;\text{ft}[/tex]Substitute the given values into the volume formula:
[tex]V = \frac{1}{3} \pi (2)^2 (8)[/tex]
Calculate the radius squared:
[tex]2^2 = 4[/tex]
Multiply the squared radius by the height and [tex]\pi[/tex]:
[tex]4 \times 8 \times \pi = 32\pi[/tex]
Divide by 3 to get the volume:
[tex]V = \frac{32\pi}{3} \approx \frac{32 \times 3.14159}{3} \approx 33.51\;\text{cubic feet}[/tex]
Complete question
A cone with a radius of 2ft and height 8ft is shown. Find the volume of the cone in cubic feet. Round your answer to the nearest hundredth
What is the 95% confidence interval for the mean life expectancy in the entire population of siberian tigers? (use the t-test to answer the question)?
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The ratio of a model car to the size of an actual car is 1:40. If the model is 4.5 inches long, what is the length of the full size car in inches and in feet?
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4x40=180
.5x40=20
180+20=200
Suppose you are the treasurer of the drama club.The cost of scripts for the spring musical is $254. The cost of props and costumes is $400. You must also pay $1.20 per ticket to the play's director. You charge $4.00 per ticket and you also expect to make $150 on refreshments. How many tickets will the drama club need to sell to break even?
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$254 +400 -150 = $504
Expected income per ticket is
$4.00 -1.20 = $2.80
To break even, the number of tickets that must be sold is
$504/$2.80 = 180
The drama club needs to sell 180 tickets to break even.
solve the system using the substituion method
-4x+y=8
x-3y=9
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x - 3y = 9
x = 9 + 3y
-4x + y = 8
-4(9+3y) + y = 8
-36 - 12y + y = 8
-36 - 11y = 8
-11y = 44
-y = 4
y = -4
x - 3y = 9
x - 3(-4) = 9
x + 12 = 9
x = 21
So, your answers are y = -4 and x = 21.
Hope this helps!
how to multiply fractions
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Question: How to multiply fractions?
Answer: well, in order to multiply fractions, you need to simply the particular fraction with the lowest terms (if they have any of course), then we multiply our numerators from each other so we can get a brand new numerator. (you do the same thing with denominators.
Example:
[tex] \frac{6}{8} ( \frac{6}{7} ) \\ \\ \frac{6(6)}{8(7)} \\ \\ 6(6) =36 \\ \\ 8(7) = 56 \\ \\ \\ Answer: \frac{36}{54}[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
Hello There!
To multiply fractions, you first want to line up the numerator and the denominator together so they line up with each other.
Next, you want to multiply across. This includes multiplying the numerators together and then multiplying the denominators together.
Finally, you want to find the greatest common factor but only if the fraction can be simplified.
That Is How To Multiply Fractions
write 3.6 as a mixed number in the simplest form
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(sorry if it's wrong)
There are 10 people on a team. 5 are chosen. which expression gives number of ways
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Number of ways to select 5 = Total number C Number to be chosen. Where "C" stands for combination
Substituting;
Number of ways to select 5 from 10 people = 10C5 = 10!/{5!*(10-5)!} = 10!/(5!*5!) = 252 ways
How do I find the hypotenuse of a triangle when given 90 degrees and one side length?
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The direct answer to your question is that you can't.
What are the next three terms in the sequence? -6,5,16,27, ...
A.38, 49, 60
B.37, 47, 57
C.36, 45, 54
D.36, 46, 56
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The next three terms of the given sequence are 38, 49, and 60. The correct option is A.38, 49, 60
Linear sequenceFrom the question, we are to determine the next three terms in the given sequence
The given sequence is
-6,5,16,27, ...
From the given sequence, we can observe that the common difference of the sequence is 11
That is,
5 - -6 = 5 + 6 = 11
16 - 5 = 11
27 - 16 = 11
Thus, the next term after 27 will be
27 + 11 = 38
The next one will be
38 + 11 = 49
The next one will be
49 + 11 = 60
Hence, the next three terms of the given sequence are 38, 49, and 60. The correct option is A.38, 49, 60
Learn more on Linear sequence here: https://brainly.com/question/24608344
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please show all possible solution by graphing a linear inequality
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x = the number of adult tickets
y = the number of children's tickets
We write the inequality:
8x + 6y <= 172
The solution is the set of points that belong to the region shaded in the graph.
Answer:
8x + 6y <= 172
see attached image.
x = the number of adult tickets
y = the number of children's tickets
Then write the inequality:
8x + 6y <= 172
Answer:
8x + 6y <= 172 so the solutions of this equation are those who are in the shaded part of the graph.
The half-life of cobalt-60 is 5.20 yr. how many milligrams of a 2.000-mg sample remains after 6.55 years?
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Answer:
0.835 mg of a 2.000-mg sample remains after 6.55 years.
Step-by-step explanation:
We are given that The half-life of cobalt-60 is 5.20 yr.
Formula of half life : [tex]N(t) = N(0)e^{\frac{-0.693t}{t\frac{1}{2}}}[/tex]
Where N(0) = Initial amount
N(t) = Quantity remaining after time
t = time
[tex]\frac{t}{2} =\text{half life}[/tex]
So, N(0) = Initial amount = 2 mg
t = time = 6.55 years
[tex]\frac{t}{2} =\text{half life} = 5.20 yr [/tex]
Substitute the values in the formula
Therefore,
[tex]N(t) = 2 e^{\frac{-0.693 \times 6.55}{5.20}}[/tex]
[tex]N(t) =0.835[/tex]
Hence 0.835 mg of a 2.000-mg sample remains after 6.55 years.
stuffed animals each weigh 1/4 pound are on a scale. the scale shows 1 1/2 pounds how many stuffend animals are on the scale
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0.25 and 1.5
To figure this out, we divide:
1.5/0.25
6
There are 6 stuffed animals on the scale.
Answer: The answer is: 6
Step-by-step explanation: I have my ways ;>
Have a nice day!
-Sunny
what is the value of the expression 8.5 - 10.2 + -7.4
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8.5 - 10.2 = -1.7
Next, add -7.4 to -1.7
-7.4 (+) - 1.7 = -9.1
Your final answer is -9.1
Answer: −9.1
Step-by-step explanation:
8.5−10.2−7.4
=−1.7−7.4
=−9.1
PLEASE MARK BRAINLIEST
1.
Find the annual percentage rate, using the annual percentage rate table.
Amount Financed: $2,650
Finance Charge: $484.69
Number of Payments: 36
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Finance Charge: $484.69
Number of Payments: 36
(Finance Charge)/(Amount Financed)*100$=($484.69)/($2,650)*100$
(Finance Charge)/(Amount Financed)*100$=(0.1829)*100$
(Finance Charge)/(Amount Financed)*100$=$18.29
In the row of number of Payments 36, we look for:
(Finance Charge)/(Amount Financed)*100$=$18.29, and we see to which annual porcentage rate it corresponds in the first row
Answer: 11.25%
Josiah has a piece of wood that measures 10 1 / 8 feet he wants to make 5 shelves if each shelf is 1 3/4 fuel long does he have enough to make 5 shelves explain
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To find the amount of feet to make 5 shelves, we must multiply the amount to make one shelf by 5
1.75 * 5 = 8.75
(1.75 is the decimal form for one shelf)
Because 8.75 is less than 10, he has enough to make 5 shelves
Simplify 1 · 0 - 0/y
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A straight line has the equation 2y-8x=5x-12. If point C, (4, n) lies on this straight line, find n.
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2y-8x=5x-12----> 2y=13x-12
we know that
If point C, (4, n) lies on this straight line
so
in the straight line
for x=4
the value of y must be n
2y=13x-12-----> 2y=13*4-12----> 2y=52-12----> 2y=40----> y=20
the value of n must be 20
the answer is
n is 20
Please help me with this.
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We are given the first term and the common difference.
So,
[tex]a_{1}=-10 \\ \\ d=5[/tex]
Using these values in the given equation, we get:
[tex] a_{n} =-10+(n-1)*5 \\ \\ a_{n} = -10 + 5n - 5 \\ \\ a_{n} = 5n -15[/tex]
So, option C gives the correct answer.
a dump truck weighs 11.25 tons. a conveyor belt pours sand into the truck at a constant rate of 1/4 ton per minute. the dump truck weighs 18 tons when filled. at the same time the dump truck is being filled, an identical truck filled to capacity is being emptied at a rate of 1/8 ton per minute. how much sand is in each dump truck when the trucks are the same weight?
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W1B = Weight of the truck 1 before starting the filling.
W1A = Weight of the truck 1 when filled.
R1F = Rate of change (Truck 1 being filled)
W2B = Weight of the truck 2 before starting the filling.
W2A = Weight of the truck 2 when filled.
R2F = Rate of change (Truck 2 being filled)
Given that a conveyor belt pours sand into the truck and stops when filled, then the amount of sand, when the truck is filled to capacity, is:
[tex]S = W_{1B} - W_{1A} = 18-11.25 = 6.75Tons[/tex]
Let's analyze Truck 1:
Given that the rate of change is:
[tex] \frac{1}{4} ton/min[/tex]
This means that in 1min the amount of sound poured is 1/4Ton, then the time elapsed when filled using rule of three is:
[tex]t = \frac{6.75}{ \frac{1}{4} } = 27min[/tex]
A similar analysis happens with Truck 2:
Given that the rate of change is:
[tex] \frac{1}{8} ton/min[/tex]
Then:
[tex]t = \frac{6.75}{ \frac{1}{8}} = 54min[/tex]
Now we can find two straight lines:
Truck 1:
[tex]\left \{ {{t=0min} \atop {S=0Ton}} \right. [/tex]
[tex] \left \{ {{t=27min} \atop {S=6,75Ton} \right[/tex]
[tex]S-S_{0} = m(t-t_{0})[/tex]
[tex]S-0 = \frac{6.75-0}{27-0} (t-0)[/tex]
∴ [tex]S = 0.25t[/tex]
Truck 2:
[tex] \left \{ {{t=0min} \atop {S=6.75Ton}} \right[/tex]
[tex] \left \{ {{t=54min} \atop {S=0Ton}} \right[/tex]
[tex]S-S_{0} = m(t-t_{0})[/tex]
[tex]S-6.75 = \frac{6.75-0}{0-54} (t-0)[/tex]
∴ [tex]S = -0.125t+6.75[/tex]
The trucks are the same weight when they have the same amount of sand, so solving for t:
[tex]0.25t = -0.125t+6.75[/tex]
[tex]0.375t = 6.75[/tex]
[tex]t = 18min[/tex]
Finally, the amount of sand in each truck:
[tex]S = 0.25(18) = 4.5Ton [/tex]
To find out how much sand is in each dump truck when they are the same weight, we can set up an equation based on the given information. Let's assume that the amount of sand in the first truck is x tons. We can then find the value of t that makes the weight of both trucks the same and substitute it into the equation to find x.
Explanation:To find out how much sand is in each dump truck when they are the same weight, we can set up an equation based on the given information.
Let's assume that the amount of sand in the first truck is x tons. Since the conveyor belt pours sand into the truck at a constant rate of 1/4 ton per minute, the weight of the sand will increase by (1/4) * t tons, where t is the time in minutes.
Similarly, the second truck is being emptied at a rate of 1/8 ton per minute. So, the weight of sand in the second truck will decrease by (1/8) * t tons.
We know that the dump truck weighs 11.25 tons initially and 18 tons when filled. Therefore, we can set up the equation:
11.25 + (1/4) * t - (1/8) * t = 18 - x
Simplifying the equation:
(1/4) * t - (1/8) * t = 18 - 11.25 - x
(1/8) * t = 6.75 - x
t = 6.75 * 8 - 8x
Now, we need to find the value of t that makes the weight of both trucks the same. Let's substitute that value into the equation to find x.
what is the answer for this math question
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1/10×3/2=3/20 cups
0.15=15%=3/20 as decimal*percent
In how many ways can 6 people be selected from 7 men and 8 women if the selection must have a majority of women?
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Number of women = 8
Number of people to be selected = 6
Condition: Women must be majority
Options: 6 women, 0 men; 5 women, 1 man; 4 women, 2 men
Number of ways = [(8C6)*(7C0)]+[(8C5)*(7C1)]+[(8C4)*(7C2)] = 28+392+1470 = 1890 ways
hello can you please help me posted picture of question
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The probability of choosing one of them is 2 out of 75 while the probability of choosing the other one is 1 out of 74. 74 band members, not counting the other person (you or your bother).
Computation:
P = 2 / 75 * 1 / 74
= 0.0266... * 0.01351...
= 1 / 2,775
You can also multiply 75 with 74 to get a total of 5,550 then divide it by 2 students to be selected to get 2,775. Meaning one out of 2,775 possibilities.
hey can you please help me posted picture of question
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x² - 4x - 12 = 0
x² - 6x + 2x - 12 = 0
x(x-6) +2(x-6) = 0
(x+2)(x-6) = 0
This means the roots of the function are x=-2, and x=6 and the graph will cross x axis at these two points. From the given graphs, the graph B seems to cross these points.
So the answer to this question is option B
5 ln ( x + 8 ) solve the equation for x
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If we make it an equation, then we can solve for x.
a = 5*ln(x +8)
a/5 = ln(x +8) . . . . . . . divide by 5
e^(a/5) = x +8 . . . . . . take the antilog
e^(a/5) -8 = x . . . . . . . subtract 8
If your expression is equal to "a", then x is ...
x = e^(a/5) -8
Of all rectangles with area 9 which one has the minimum perimeter