Answer:
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h .
Step-by-step explanation:
Find the length of AB when A(-4,1) and B(3,-1). Round to the nearest tenth (one decimal place) if necessary.
Answer:
7.3 units is the answer rounded
When A(-4,1) and B(3,-1), the length of AB is approximately 7.3 units.
What is distance formula?The distance formula is a mathematical formula that is used to compute the distance between two points in a coordinate plane.
This formula is derived from the Pythagorean theorem, which states that the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides.
We can use the distance formula to find the length of AB:
[tex]d = \sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)}[/tex]
Where (x1, y1) = (-4, 1) and (x2, y2) = (3, -1)
d = sqrt([tex](3 - (-4))^2 + (-1 - 1)^2[/tex])
= sqrt([tex]7^2 + (-2)^2[/tex])
= sqrt(49 + 4)
= sqrt(53)
≈ 7.3 (rounded to one decimal place)
Therefore, the length of AB is approximately 7.3 units.
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What is the value of the expression below?
13 - (-9)
Adam's starting salary is $52,750 per year. He is told that his salary will increase to $66,475 at the beginning of 9 years. What is the rate of Adam's salary?
Step-by-step explanation:
chcjdhxh bdb jxnbshxjkqld gnnfncjfjejxjxcznenxjxjxjjcfkjefjrjrjrkufcnnxn mfkfmkekndj
Use the rule x + 3 to find the missing number on the table.
X Y
0 3
3 6
11
7 10
9 12
The missing number on the table using the rule y = x + 3 is 14
How to use equation to find missing number?X Y
0 3
3 6
11 y
7 10
9 12
The rule:
y = x + 3
y = 0 + 3
y = 3
y = 3 + 3
y = 6
y = 11 + 3
y = 14
y = 7 + 3
y = 10
y = 9 + 3
y = 12
Therefore, the missing number on the table is 14
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Answer:
5 T-shirts
or
35 T-shirts
Step-by-step explanation:
Alright so this question is a bit tricky but I will explain to you the steps. What you want to do is take every possible answer and multiply it by $15 (The price of an adult t shirt) and see if the answer you get can be added onto with the price of small t shirts ($10).
In other words you need a multiple of $10 as your answer so you can add $10 onto to that number until you get your total of $2,375.
Lets start with 185 t-shirts.
If we do 185 shirts x $15 per shirt we get $2775
That is way above the total of $2,375 so we know that this cant be the answer.
Next we can do 110 t-shirts.
If we do 110 shirts x $15 this time we get $1650.
Now while this is less than the total this is not a multiple of 10.
To prove this lets take the total amount of money earned ($2,375) and subtract this $1650 from it to see how much in youth shirts they sold.
$2,375 - $1650 = $725
Now we can divide $725 by the rest of the $10 youth shirts and you will see we get 72.5 which is not a whole number so it cant be answer. Since you cant sell someone 25% of a shirt or they probably would be upset.
Moving onto 35 t shirts lets take the same steps.
35 x $15 (price of adult t-shirt)
We then get $525 from this. Lets subtract this total again from the grand total earnings they made from selling both shirts ($2,375)
$2,375 - $525 = $1850.
Now this is a multiple of 10. Meaning you can add 10 into it go get that number and you wont have more or less than it. It will be spot on.
So we can do $1850 divided by $10 to find the total amount of youth shirts sold. We get 185 from this, which is a possible answer.
Lets do the last one.
5 t shirts multiplied by $15
We get $75 from this and now lets subtract again from the grand total.
$2,375 - $75 = $2,300
Now this would work too which is what kind of stumps me but we will go with it. Going off this either 5 t-shirts or 35 t-shirts would work as an answer cause you can have an even number of youth shirts sold with either answer. So I could have done something wrong but I believe based off of this either would be correct but I could be missing something. Someone correct me if I made a mistake.
Anyways I hope this helps :)\
EDIT :
I see what I did wrong here and failed to take into account the total of 220 t-shirts sold. But I believe this can help solve the last 2 answers.
what is the meaning of XII in roman numeral
Answer:
its 12 in mathematics....
The distance around one block in Ava's neighborhood is 34 mile. If Ava rides her bike around the block 5 times, how many miles does she ride? Use the number line to help.
Answer:
I think the answer is 3 3/4
Step-by-step explanation:
5 × 3/4 = 15/4
15/4 = 3 3/4
solve 3/5-(1/6+5/18)
Answer:
7/45
Step-by-step explanation:
IF U NEED THE STEPS LEMME KNOW
Which playwright has only seven surviving plays, and many people consider his Oedipus Rex the greatest Greek tragedy?
Aeschylus
Sophocles
Euripides
Aristophanes
Answer:
its b Sophocles
Step-by-step explanation:
got it right
if the height and radius of a cylinder tank are equal and it's curved surface area is 308cm^2,find it's height
Let height be x, then radius is also x.
We know that,
C.S.A. = 2πrh
=> 308cm² = 2πxx
=> 308cm² = 2πx²
=> 308cm² = 2(22/7)x²
=> 308cm² = (44/7)x²
=> 308cm² × (7/44) = x²
=> 2156/44 cm² = x²
=> 49cm² = x²
=> √(49cm²) = x
=> 7cm = x
So, height and radius are 7cm each.
What are the next three terms in the sequence?
-6,5,16,27...
38, 49,60
37,47,57
36, 45, 54
36, 46,57
Answer:
uff si está bien fácil por favor tu te sabes la respuesta y yo tambien
what is the slope between the points (14,1) and (6,-15)
Find k if the line y = kx-5 passes through the point (-6,14).
Answer:
19/-6
Step-by-step explanation:
y=kx-5 (-6, 14)
14=k(-6)-5
14=-6k-5
-6k=14+5
-6k=19
k=19/-6
Guys I need help !! X=2 evaluate 5x-2
Answer:
Step-by-step explanation:
Evaluate means to see what value the equation has given x is 2
substitute x for 2 (write instead of x, write 2)
5x-2 will be 5*2-2 , calculate 5*2-2= 10-2 = 8
Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike there and back? What information is extra?
Answer:
How many miles does he ride his bike there and back?
6 miles.
What information is extra?
The hour at which he leaves his house.
Step-by-step explanation:
We know that he rides 3 miles each way.
Then he rides 3 miles from his house to his friend's house, and another 3 miles from his friend's house to his house.
So he rides 3 miles both times, if we add that, we get:
3 miles + 3 miles = 6 miles
So:
How many miles does he ride his bike there and back?
6 miles.
And to answer the other question, we need to look at the given information that we did not use in this calculation. In this case, is the hour at which he leaves his house.
Notice that we never did use the fact that he leaves his house at 4 p.m.
Then:
What information is extra?
The hour at which he leaves his house.
Describe the slope and y-intercept of the line y = -x + 2.
Answer:
slope = -1
y intercept= 2
Step-by-step explanation:
compare the equation with the standard equation Y= MX + C
where M is the slope
to find Y intercept substitute the value of x as 0
How do I solve × + 12, × = 15
Answer:
27
Step-by-step explanation:
x+12
Let x=15
15+12
27
Answer:
x = 15th root of (-0.067) = -0.83482
Step-by-step explanation:
Helpppppppp meeeeeeeee
Answer:
[tex]V = 97.911in^3[/tex]
Step-by-step explanation:
Given
Shapes: Cube and Cone
Required
Determine the volume
First we calculate the volume of the cube
[tex]V_1 = l^3[/tex]
Where
l = side length = 5.1
[tex]V_1 = 5.1^3[/tex]
[tex]V_1 = 132.651[/tex]
Next, calculate the volume of the cone using:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
Where
h = 5.1
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 5.1[/tex]
[tex]r = 2.55[/tex]
So, we have:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]
[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]
[tex]V_2 = \frac{729.5805}{21}[/tex]
[tex]V_2 = 34.74[/tex]
The volume of the figure is:
[tex]V=V_1 - V_2[/tex]
[tex]V_1 = 132.651[/tex]
[tex]V = 132.651 - 34.74[/tex]
[tex]V = 97.911in^3[/tex]
find the interest rate you are borrowing $2,500 for 2 years and you ear $450 in interest
Answer:
2500×100/2×450
25/2×450
25/900=
36
Carol bought bananas for $0.50 per pound and 1 pint of strawberries for $2.25. If Carol paid $4.10, how many pounds, p , of bananas did she buy?
Which equation can be used to find p ?
A. .50p+2=4.10
B. .50p+2.25=4.10
C .50+2.25p=3.85
D. 2.75+.25p=4.10
Answer:
B. .50p+2.25=4.10
Step-by-step explanation:
The equation that need to determine the p is shown below:
Given that the bananas would be bought for $0.50 per pound and 1 pint of strawberries for $2.25
Now the total amount paid by Carol is $4.10
So, the equations would be
0.50p + 2.25 = 4.10
Therefore the option b is correct
Which graph represents the inequality x > 23 ?
Step-by-step explanation:
step 1. x > 23 means x values greater than 23 but not equal to 23.
step 2. the graph would have an open circle above 23 and a line with an arrow at the end pointing right.
Answer:A
Step-by-step explanation:
Point smtr located at (-6,13) and (8,13) on the coordinate plane want is the distance between these to points
Answer:
14 points in between
Step-by-step explanation:
just count how many spaces are in between those points on the graph
Find the simplified form of the expression. Give your answer in scientific notation.
(4 * 10^10)(9x10^-5)
Step-by-step explanation:
Given
(4*10^10)(9*10^-5)
= 36 * 10^10 - 5
= 36 * 10^5
= 3.6 * 10^6
Hope it will help :)
Jacob makes a scale drawing for a crate with a scale factor of 1:20. The dimensions of his scale drawing are 3 inches long by 2 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:10. What are the dimensions of the builder's scale drawing? O A. The length is 6 inches and the width is 4 inches. B. The length is 4 inches and the width is 6 inches. O C. The length is 1.5 inches and the width is 1 inch. D. The length is 1 inch and the width is 1.5 inches. SUBMIT
Answer: 6 inches long and 4 inches wide
Step-by-step explanation: The dimensions of the actual crate are 20 times those on Jacob's drawing. The dimensions on the builder's drawing are 1/10 of those, so (1/10)(20) = 2 times the dimensions on Jacob's drawing.
hope this helps
The figure below shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
The slope from point O to point A is fraction 1 over 4 times the slope of the line from point A to point B.
The slope from point O to point A is four times the slope of the line from point A to point B.
It is fraction negative 1 over 4 throughout the line.
It is −4 throughout the line.
Both triangles are along the slope of the line, so the slope for both triangles are the same.
Using two points on the slope you find that the slope is -1/4
The answer is:
It is fraction negative 1 over 4 throughout the line.
Is 5.3 a possible solution to x > 5 ?
Yes 5.3 is greater than 5
5.3 > 5
Answer:
yes, it is.
Step-by-step explanation:
its a solution because in the graph below, 5.3 is in the shaded region. hope this helped!!
A line passes through the point (8,-5) and has a slope of 3/2
Answer:
y=3/2x-17
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=3/2(x-8)
y+5=3/2(x-8)
y=3/2x-24/2-5
y=3/2x-12-5
y=3/2x-17
You're selling tickets to a school play priced at $5 for students, $10 for parents, and $20 for general admission. The total sales are $2,500, you sell twice as many parent tickets as student tickets, and you selll 10 more students tickets than general admission. How many of each ticket did you sell?
A:60 student, 120 parent, and 50 general admission
B:40 student, 80 parent, and 30 general admission
C:80 student, 160 parent, and 70 general admission
D:90 student, 45 parent, and 80 general admission
Answer:
A
Step-by-step explanation:
Find the equation of a line parallel to y = x – 3 that contains the point (-2, 1).
Yeah
Answer:
The equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:
[tex]y = x + 3[/tex]The graph of both the parallel equation is shown below to make you further understand the concept.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptGiven the equation
[tex]y = x - 3[/tex]
comparing with the slope-intercept form of the line equation
Slope m = 1
Important Tip:
As the parallel lines never intersect, therefore, they have the same slopes.Thus, the slope of the parallel line is also 1.
As the parallel line contains the point (-2, 1).
so substitute m = 1 and (-2, 1) in the slope-intercept form of the line equation to determine the y-intercept of the parallel line
[tex]y = mx+b[/tex]
[tex]1 = 1(-2) + b[/tex] ∵ (x, y) = (-2, 1) and m = 1
[tex]1 = -2 + b[/tex]
switch sides
[tex]-2+b = 1[/tex]
add 2 to both sides
[tex]-2 + b + 2 = 1 + 2[/tex]
simplify
[tex]b = 3[/tex]
Thus, the y-intercept b of the parallel line is: b = 3
now substitute b = 3 and m = 1 in the slope-intercept form of the line equation to determine the equation of the parallel line
[tex]y = mx + b[/tex]
[tex]y = (1)x + 3[/tex]
[tex]y = x + 3[/tex]
Therefore, the equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:
[tex]y = x + 3[/tex]The graph of both the parallel equation is shown below to make you further understand the concept.
From the graph:
The green line represents the equation y = x - 3 The black line represents the parallel equation y = x + 3It is clear that both lines are parallel.
How much interest would you have if you deposited $200 that if you deposited $150?
Answer:
Difference = 206 - 154.5 = $51.5
In short, Your Answer would be: $51.5