Answer:
10/27
Step-by-step explanation:
What is the total surface area of the cylinder to the nearest square inch ? Use 3.14 for pi
Answer:
1,300.62
Step-by-step explanation:
The formula for a cylinder is A= 2 pi r h +2 pi r^2
ainsley works for the owners of bookstore . Her starting salary was $24,500, and she gets a 3% raise each year. What will ainsleys salary be when she begins her fourth year working at the bookstore? show your work
Answer:
26771.8115
Step-by-step explanation:
24500(1.03)=25235 then continue doing this 2 more times and you get 26771.8115
Maxine and Sammie have the same size lawn. Maxine can mow the lawn in 24 minutes and Sammie can mow the lawn in 36 minutes. At what time will Sammie have twice as much lawn to mow as Maxine?
Maxine and Sammie have to also mow their parking strips that are the same size. Maxine can mow the parking strip in 6 minutes and Sammie can mow the parking strip in 9 minutes. At what time will Sammie have twice as much grass to mow as Maxine?
Answer: A) 18.2 minutes
B) 4.5 minutes.
Step-by-step explanation:
A) Maxine can mow one lawn in 24 minutes, so the rate of work is:
1/24 of the lawn per minute.
Sammie can mow one lanw in 36 minutes, so the rate of work is:
1/36 of the lawn per minute.
The amount of the lawn that each has left to lawn by the minute x is:
Maxine = 1 -(1/24)*x
Sammie = 1 - (1/36)*x
we want to find the value of x such that:
2*(1 - (1/24)*x) = 1 - *(1/36)*x
which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.
2 - (1/12)*x = 1 - (1/36)*x
2 - 1 = (1/12 - 1/36)*x
1/0.055 = x = 18.2
by the minute 18.2
B) Similar to before, here the rates are:
For Maxine, R = 1/6
For Sammie, R = 1/9
The amount they have left to mow by minute x is:
Maxine = 1 - (1/6)*x
Sammie = 1 - (1/9)*x
We want to solve, similar to before.
2( 1 - (1/6)*x) = 1 - (1/9)*x
2 - (1/3)*x = 1 - (1/9)*x
2 - 1 = (1/3 - 1/9)*x
1 = (2/9)*x
1*9/2 = x = 4.5
So here the solution is 4.5 minutes.
Answer:
`He will never have more grass to maw than Maxine because they do the strips the same size, and their yard is the same size, so they never have more to mow than the other person.
Explanation:
May you pls mark me as brainliest I am new to the program.
Find the area of the triangle. Pls help!
Answer:
84 mm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 b *h
The base is 14 and the height is 12
A = 1/2 (14*12)
A = 84 mm ^2
Area of a triangle formula: A = 1/2bh
Solve using the values given in the picture.
A = 1/2(14)(12)
A = 1/2(168)
A = 84
Therefore, the volume of the triangle is 84mm²
Best of Luck!
A pond is initially stocked with 1000 catfish, and the fish population is then sampled each month to estimate its size. It is determined to be increasing at a rate of 1.5% each month. What is the projected population after one year?Which function represents exponential decay?
Answer:
A year is 12 months long. 1.5 percent each month would total 18 percent in a year. 18 percent of 1000 is 180. The final number of fish is 1180
Step-by-step explanation:
At a store, a hat has a regular price of x dollars. During a sale, the price of the hat is discounted by 20%. The expression 0.8x describes the discounted price, in dollars, of the hat. Which expression also describes the discounted price, in dollars, of the hat? A. 0.2x
B. x–20
C. x–0.2
D. x–0.2x
Can someone explain why is D correct ?
Answer:
Step-by-step explanation:
x-.20x
Lets say the hat cost $100
x=100
multiplying 100 by 20% which is .20 yields $20
S0 $20 is the discount which we subtract from the original price
100-20 and get the sale price of $80
They use a shortcut so you don't have to do the subtracting of the discount
They say if the price is being discounted subtract the discount from 1 and multiply that by the original amount
So in this case the discount percent was 20% = .20
Subtracted from 1
1-.20=.80
Since x is the original price we multiply x by the .80 to get
.80x
help plsssssssssssssssssssssssssssssssss again 3
Answer:
200 minutes
Step-by-step explanation:
In order to find the range, you have to subtract the greatest number to the lowest number. In this case, 400 is the smallest number, and 600 is the greatest number. 600-400 is 200 minutes.
can anyone help me find the volume? i will help you be the brainliest!!
Answer:
6,912....
Step-by-step explanation:
6 times 12 times 6 time 4 times 4 = 6,912
Answer:
= 360 ft³
Step-by-step explanation:
Rectangular prism
Volume = length x width x height
V = l x w x h
V = 12 x 6 x 4
V = 288 ft³
Triangular prism
Volume = 1/2 x base x height x length
V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)
V = 1/2 x 144
V = 72 ft³
ADD BOTH VOLUMES
= 288 + 72
= 360 ft³
32, 28, 21, 31, 18
Is 18 an outlier or no?
Answer:
No because 21 is close to it.
Step-by-step explanation:
To be considered an outlier, it would need to be a farther distance such as the distance from 28 to 21.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Answer:
No. it's close to 21.
Step-by-step explanation:
There's a formula for fidning out if something is an outlier or not but i forgot, pff, look it up :P
Write the number for seventy-five million three hundred thousand
The answer is 75,300,000 hope this helps.
Which fraction is equal to 0.34
Answer: 17/50
Multiply
0.34/1×100=34/100
Simplify
34/100÷2/2=17/50
A fraction which is equivalent to 0.34 is; 17/50
The decimal number, 0.34 can be represented in words as; 34 hundredths.
In essence, mathematically, we have;
34/100= 17/50.17/50 is obtained by factorisation of 2 out of the numerator and denominator.
Hence, a fraction which is equivalent to 0.34 is 17/50.
Read more on equivalent fractions;
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Which of the figures is not a net for a cube? Explain.
For circle P , find QN if LM = ON = 7.
A.
3.5
B.
7.5
C.
14
D.
21
Answer:
A
Step-by-step explanation:
You are just going to have to divide the 7 which gives you 3.5
The age of the volunteers at a local food bank are 34, 25, 24, 50, 18, 46, 43, 36, 32. What is the median for the data set?
It is 34
First you have to order all of the number from least to greatest:
18 24 25 32 34 36 43 46 50
Then you cross out a number from each side, until you are left with the last number, which is the median. In this case your answer is 34.
Find the cosine of angle A (written as a fraction)
Answer: 0.92
Step-by-step explanation: cos a = side adj / hypotenuse
Cos a = 12/13 ~ 0.92307
Ming would like to buy a plane ticket so she can visit her family this Thanksgiving, which is November 26. She has found that tickets for flights on days closer to Thanksgiving are more expensive than flights on days further away from Thanksgiving. A calendar from an airline company showing ticket prices by day is below.
Answer:
$165
Step-by-step explanation:
Answer:
156$
Step-by-step explanation:
A grain silo has the dimensions shown. (height of 60, diameter of 20). The top of the silo is a hemispherical shape. Find the volume of the grain silo.
Answer:
[tex]20943.96 ft^3[/tex]
Step-by-step explanation:
The silo is shaped as a cylinder with a hemisphere on top of it.
We need to find the volume of the shape.
The volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius
h = height
The volume of a hemisphere is given as:
[tex]V = \frac{2}{3} \pi r^3[/tex]
where r = radius
Therefore, the joint volume of both shapes is:
[tex]V = \pi r^2h + \frac{2}{3} \pi r^3[/tex]
The height of the silo is 60 and the diameter is 20.
This means that the radius is 10.
The cylindrical part of the silo and the hemispherical part have the same radius, 10.
The volume of the silo is:
[tex]V = \pi * 10^2 * 60 + \frac{2}{3} * \pi * 10^3\\ \\V = 18849.56 + 2094.40\\\\V = 20943.96 ft^3[/tex]
The volume of the silo is [tex]20943.96 ft^3[/tex]
(PLEASE ANSWER QUICK!) Why is it important to understand properties of angles and figures to solve problems?
Answer:
The relationships, properties, and theorems will be easier to understand when ... Just like you don't want to do a geometry problem without all the given ... In case you want to get a head start… here are arguably some of the most important theorems for triangles: ... In the figure below, both congruent angles have one arch.
Step-by-step explanation:
You roll two six-sided dice. What is the probability that the sum is odd or a multiple of 5? Round your answer to the nearest tenth of a percent.
Answer:
The probability that the sum is odd or a multiple of 5
P(E₁∪E₂) = 0.58 = 58%
Step-by-step explanation:
Step ( i ) :-
Given the two dice are thrown ,The total number of exhaustive cases
n(S) = 6² = 36
Let 'E₁' be the event of getting the sum is odd on two dice
E₁ = { (1,2)(1,4),(1,6),(2,1),(2,3),(2,5),(3,2)(3,4),(3,6),(4,1)(4,3),(4,5),(5,2),(5,4),(5,6),(6,1),(6,3),(6,5)}
n(E₁) = 18
Let 'E₂' be the event of getting the sum is multiple of 5 on two dice
E₂ = { (1,4),(2,3), (3,2),(4,1),(4,6),(5,5),(6,4)}
n(E₂) = 7
n(E₁∩E₂) = {(1,4),(2,3),(3,2),(4,1)} = 4
Step(ii):-
The probability that the event of getting the sum is odd on two dice
[tex]P(E_{1}) = \frac{n(E)}{n(S)} = \frac{18}{36}[/tex]
The probability that the event of getting the sum is multiple of '5' on two dice
[tex]P(E_{2}) = \frac{n(E_{2} )}{n(S)} = \frac{7}{36}[/tex]
The probability that the event of getting the sum is odd and multiple of '5' on two dice
[tex]P(E_{1} n E_{2}) = \frac{n(E_{1} n E_{2} )}{n(S)} = \frac{4}{36}[/tex]
The probability that the sum is odd or a multiple of 5
P(E₁∪E₂) = P(E₁) + p(E₂) - P(E₁ ∩ E₂)
= [tex]\frac{18}{36} + \frac{7}{36} - \frac{4}{36}[/tex]
[tex]\frac{18+7}{36} - \frac{4}{36} = \frac{25-4}{36} = \frac{21}{36}[/tex]
P(E₁∪E₂) = 0.58 = 58%
Final answer:-
The probability that the sum is odd or a multiple of 5
P(E₁∪E₂) = 0.58 = 58%
The probability that the sum is odd or a multiple of 5 is 56 %.
Probability :When two dice are rolled, then
Total number of outcomes is [tex]=6^{2}=36[/tex]
Outcomes for the sum is odd or a multiple of 5 ,
[tex](1,2),(2,1),(2,3),(3,2),(1,4),(4,1),(1,6),(6,1),(2,5),(5,2),(3,4)\\\\(4,3),(3,6),(6,3),(4,5),(5,4),(6,5),(5,6),(4,6),(6,4)[/tex]
Number of favourable outcomes are [tex]=20[/tex]
the probability that the sum is odd or a multiple of 5 is,
[tex]P(E)=\frac{20}{36} =0.56[/tex]
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13 POINTS!!!
In ΔJKL, j = 74 inches, k = 14 inches and l=67 inches. Find the measure of ∠L to the nearest degree.
Answer:
55°
Step-by-step explanation:
Using cosine law
67² = 74² + 14² - 2(74)(14)cos(L)
cos(L) = 169/396
L =55.18378419
The measure of angle L to the nearest degree is 55°.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given, for a triangle JKL,
j = 74 inches, k = 14 inches and l = 67 inches.
We can use law of cosines to find the measure of angle L.
Using the law of cosines,
l² = j² + k² - 2jk cos(L)
67² = 74² + 14² - (2×74×14) cos(L)
4489 = 5476 + 196 - 2072 cos(L)
4489 = 5672 - 2072 cos(L)
-1183 = - 2072 cos(L)
cos (L) = 0.5709
L = 55.18° ≈ 55°
Hence the measure of angle L is 55°.
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PLZ HELP ME FIGURE THIS OUT
Answer: k=1
Step-by-step explanation:
4 - 2k = 2
If it's easier you can also write it like
-2k + 4 =2
Solve for k by isolating it. Move four and then divide the -2.
-2k =2-4
-2k= -2
k= -2/-2
k=1
Answer:
1
Step-by-step explanation:
4-2k=2
When a letter is next to a number that means to mulptiply, so
4-2*1=2
2*1=2 and 4-2=2
At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads
and two sandwiches The Donovan family pays $14 for a salad and three fruit bowls What is the price of a fruit bowl at the
cafe?
Answer: The price of a fruit bowl at the cafe is $3
Step-by-step explanation:
$3 in the price of a Fruit bowl at the cafe.
What is the price of a fruit bowl at the cafe?
According to the given In the question,
Let,
price of a Salad = Sl
price of a fruit bowl = Fb
Fb price of a sandwich = Sd
Sl + Fb+sd=$12 ..1
2 SI + 2 Sd = $14 ..2
Sl + 3Pb Fb = $14 ..3
from equation 2
Sl = 7 - Sd
from equation 3
7 - Sd + 3Fb = 14
Sd = 3Fb - 7
from equation 1
14- 3Fb+Fb+ 2(3Fb-7)=12
14- 2 Pb +6Fb-14=12
4Fb = 12
Fb = 3
Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.
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2.5 kg of potatoes cost £1.40
Work out the cost of 4.25 kg of potatoes.
5.95
Answer:
£2.38
Step-by-step explanation:
Write and solve an equation of ratios:
£1.40 2.5 kg
----------- = ------------
c 4.25 kg
Cross multiplying, we get:
(£1.40)(4.25 kg) = (2.5 kg*c), or
(£1.40)(4.25 kg)
c = -------------------------- = £2.38
2.5 kg
Train A has a speed 20 miles per hour greater than that of train B. If train A travels 270 miles in the same times train B travels 210 miles, what are the speeds of the two trains?
Answer:
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
Step-by-step explanation:
Let
speed of train B = a
speed of train A = a + 20
Recall
speed = distance/time
The travel time is same for both train. Therefore, let us make time subject of the formula in the speed equation.
Time = distance/speed
270/a + 20 = 210/a
cross multiply
270a = 210(a + 20)
270a = 210a + 4200
270a - 210a = 4200
60a = 4200
divide both sides by 60
a = 4200/60
a = 70
speed of train A = 70 + 20 = 90 miles per hour
speed of train B = 70 miles per hour
Emma jogs 2 miles along the beach in 1 3 of an hour. If she travels at a constant rate, how far will she jog in an hour? 1. Use the known information to write a rate. Emma's rate: 2 miles 1 3 hours 2. Write an equivalent rate with a denominator of 1. 2(3) miles 1 3 (3) hours = ? 1 hour She will jog miles.
Answer:
Step-by-step explanation:
Emma jogs 2 miles along the beach in 1/3 of an hour. At a constant rate, the distance that she jogs on 1 hour would be
Let x represent the number of mikes that she would jog in 1 hour.
If 2 miles = 1/3 of an hour, then
x = 1 hour
Cross multiplying, it becomes
x × 1/3 = 2 × 1
x/3 = 2
x = 3 × 2 = 6 miles
The equivalent rate with a denominator of 1 is 6/1 miles
Answer:
The Answer Is 6.
⢀⡴⠑⡄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡇⠀⠿⡀⠀⠀⠀⣀⡴⢿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠑⢄⣠⠾⠁⣀⣄⡈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠁⠀⠀⠈⠙⠛⠂⠈⣿⣿⣿⣿⣿⠿⡿⢿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡾⣁⣀⠀⠴⠂⠙⣗⡀⠀⢻⣿⣿⠭⢤⣴⣦⣤⣹⠀⠀⠀⢀⢴⣶⣆ ⠀⠀⢀⣾⣿⣿⣿⣷⣮⣽⣾⣿⣥⣴⣿⣿⡿⢂⠔⢚⡿⢿⣿⣦⣴⣾⠁⠸⣼⡿ ⠀⢀⡞⠁⠙⠻⠿⠟⠉⠀⠛⢹⣿⣿⣿⣿⣿⣌⢤⣼⣿⣾⣿⡟⠉⠀⠀⠀⠀⠀ ⠀⣾⣷⣶⠇⠀⠀⣤⣄⣀⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠉⠈⠉⠀⠀⢦⡈⢻⣿⣿⣿⣶⣶⣶⣶⣤⣽⡹⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠲⣽⡻⢿⣿⣿⣿⣿⣿⣿⣷⣜⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣶⣮⣭⣽⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠿⠿⠛⠉
Isaak is writing an explicit formula to represent the sequence.
64, 112, 196, 343, ...
What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest hundredth.
0.75
1.75
58
279
Answer:
a(n) = 64*(7/4)^(n - 1)
Step-by-step explanation:
Dividing 112 by 64 results in the common ratio 7/4.
Dividing 196 by 112 also results in the ratio 7/4.
So we can safely assume that the common ratio here is 7/4.
The explicit formula for this sequence is a(n) = 64*(7/4)^(n - 1)
Answer:
1.75
Step-by-step explanation:
1.75 is the value
why is tesla stock increasing/decreasing in value
Answer:
elon musk
Step-by-step explanation:
elon sends out random, uncalled for tweets, which mess with the stock value.
For example, when the stock was very high, he tweeted,"Tesla stock too high"
What is the slope of the line shown below?
Answer:
2
Step-by-step explanation:
Slope is often called rise/run.
This is the amount the line goes upwards, rise, compared to the amount it goes sideways, run.
Compare the two shown points. From the left point the the right, the rise is 6, while the run is 3, creating the rise/run of 6/3. This is simplified to 2.
Answer:
C
Step-by-step explanation:
A recipe for trail mix calls for 2 3/4 cups of peanuts, 1 2/3 cups of cashews, and 1 1/6 cups of almonds.
How many cups of nuts are used in all?
Answer:
5 7/12
Step-by-step explanation:
To get the total amount of nuts used in all, what we do is to add all the fractions together
But we convert them to mixed fraction to make the work easier;
2 3/4 = 11/4
1 2/3 = 5/3
1 1/6 = 7/6
Adding all, we have;
11/4 + 5/3 + 7/6 = (33+ 20 + 14)/12 = 67/12 = 5 7/12
Answer:
4 7/12
Step-by-step explanation:
2 3/4 + (1 2/3 + 1/6) = 2 3/4 + (1 4/6 + 1/6) = 2 3/4 + 1 5/6 = 2 9/12 + 1 10/12 = 3 19/12 = 4 7/12
Hope this helps!!!
The Duquesne Incline in Pittsburgh, Pennsylvania, has an angle of elevation of 30º. The track has a length of about 800 feet. Find the height of the incline.
The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.
To find the height of the incline, we can use trigonometry, specifically the sine function.
Let's consider the triangle formed by the incline track, where:
The angle of elevation (angle between the incline track and the ground) is 30 degrees.
The length of the incline track (base of the triangle) is about 800 feet.
We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).
Using the sine function, we have:
[tex]sin(angle) = opposite\ side / hypotenuse[/tex]
In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).
So, the equation becomes:
[tex]sin(30^o) = h / 800[/tex]
h = 800 * 0.5
h = 400 feet
Therefore, the height of the incline is approximately 400 feet.
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