Answer:
A. Multiply the purchase price by the tax rate. Then add the result to the purchase price.
Step-by-step explanation:
The amount of tax is found by multiplying the taxed amount by the tax rate. The customer generally pays the sales tax, so the amount the customer will pay will be the sum of the purchase price and the tax.
Determine how many liters a right circular cylindrical tank holds if it is 6 m long and 13 m in diameter.
The tank holds approximately 994,040 liters.
To solve this problem
The volume of a right circular cylinder is given by the formula:
V = πr^2h
Where
r is the radius of the cylinderh is its height π is a mathematical constant approximately equal to 3.14159The cylinder's diameter is specified as 13 m, hence the radius may be computed using the formula: r = d/2 = 13/2 = 6.5 m
The cylinder is described as having a 6 m length.
These values are substituted into the volume calculation to produce the following result:
V = π(6.5)^2(6)
V ≈ 994.04 cubic meters
Since 1 cubic meter equals 1000 liters, we can convert the volume to liters by multiplying by 1000.
V = 994.04 cubic meters x 1000 liters/cubic meter
V = 994,040 liters
Therefore, the tank holds approximately 994,040 liters.
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What is the vertex of the graph of y = 2x^2 + 4x − 5? (0, −5) (−1, −7) (1, 1) (2, 11)
Answer:
vertex = (- 1, - 7 )
Step-by-step explanation:
given a parabola in standard form
y = ax² + bx + c (a ≠ )
then the x- coordinate of the vertex is
\(x_{vertex}\) = - \(\frac{b}{2a}\)
y = 2x² + 4x - 5 ← is in standard form
with a = 2 , b = 4 , then
\(x_{vertex}\) = - \(\frac{4}{2(2)}\) = - \(\frac{4}{4}\) = - 1
substitute x = - 1 into the equation for corresponding y- coordinate
y = 2(- 1)² + 4(- 1) - 5 = 2(1) - 4 - 5 = 2 - 9 = - 7
vertex = (- 1, - 7 )
Calculate the slope between the two points: (7, –4), (7, 8)
Answer:
undefined
Step-by-step explanation:
We can find the slope by using the formula
m = (y2-y1)/(x2-x1)
m = (8 - -4)/97-7)
= (8+4)/(7-7)
= 12/0
We cannot divide by 0 so the slope is undefined
Question 5(Multiple Choice Worth 2 points)
(01.06)
Simplify square root of negative 48.
negative 4 square root of 3
4 square root of negative 3
4 i square root of 3
4 square root of 3 i
Answer: 4 i square root of 3
please help 15 points
x2≥−4
Answer:
Solve for
x
by simplifying both sides of the inequality, then isolating the variable.
Step-by-step explanation:
Answer:
Does the name, Josh, Sound familiar? Maybe that'll ring a bell of why I'm saying this.
Step-by-step explanation:
What is the area of the object above?
A.
158 sq cm
B.
94 sq cm
C.
142 sq cm
D.
102 sq cm
Answer:
102cm2
Step-by-step explanation:
Split the shape into two rectangles:
A. 4 x 8 = 32cm2
B. 7 x 10 = 70cm2
70 + 32 = 102cm2
Solve the equation 10 = 3x -6
x=16/3
Step-by-step explanation:Add 6 to both sides10=3x-6
10+6=3x-6+6
Add the numbers10+6=3x-6+6
16=3x-6+6
Take away -6 from 616=3x-6+6
Divide both sides by the same factor16=3x
16/3 3x/3
Cancel terms that are in both the numerator and denominator16/3 3x/3
16/3
Answer: x=16/3What ratio is equivalent to 8/6
Answer:
3rd option: 32/24
Step-by-step explanation:
8/6 = 4/3
1st option: Now let's change the denominator to 24:
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
2nd option: Now let's change the numerator to 24:
4/3 ==> 24/?
4/3 =
4*6 / 3*6 = 24/18, not 24/32
24/32 = 3/4, not 4/3 ==> don't get confused by this
3rd option: 32/24 is correct [Look at the explanation for 1st option]
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
Hence, the 3rd option is correct.
Question 15 of 60
Choose the symbol that correctly compares the fractions below.
8 8
-?-
10 10
OA. None of these are correct.
OB. <
C. >
OD. =
SUBMIT
Answer:
D
Step-by-step explanation:
Is this a linear line?
Answer:
Yes. The shown graph shows a linear graph because the points are a strong correlation which makes a trend line.
Step-by-step explanation:
Hoped this helped.
HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 7.9
Step-by-step explanation:
\(P=2000, r=0.09, n=2\\\\4000=2000\left(1+\frac{0.09}{2} \right)^{2t}\\\\4000=2000(1.045)^{2t}\\\\2=1.045^{2t}\\\\\log_{1.045} 2=2t\\\\t=\frac{\log_{1.045} 2}{2}\\\\t \approx 7.9\)
60ft by 60ft wall and a mirror that’s 60ft by 20ft the mirror covers wat percent of the wall?
Answer:
okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.
Step-by-step explanation:
please help! write D u E and D n E using interval notation.
Part 1
\(D \cup E\) denotes the union of the two sets (in other words, all the elements in both sets).
This means it is \((-\infty, 4) \cup [7, \infty)\)
Part 2
\(D \cap E\) denotes the elements shared between both sets.
This means the answer is \((4, 7]\)
if you don’t know for sure don’t answer lol this is a test so I don’t wanna get anything wrong
Answer:
C. x = 1/2
Step-by-step explanation:
To find x, simply take the cube root of the cube's given volume. with a volume of 1/8 cubic centimetres, (this is an assumption, as the question expresses the volume in square centimetres, which is not a valid unite of volume; presumably that's a typo), the side length will be:
√(1/8)
= √1 / √8
= 1 / 2
So x is equal to 1/2 of a centimetre.
Answer:
x= 1/2
Step-by-step explanation:
The formula to find the volume of a cube is \(a^3\), we can work backwards with the volume to find the edges:
\(1/8=x^3\\\sqrt[3]{1/8} =x\\1/2=x\)
please help me Arithmetic Reasoning
Dave has a 30% off coupon for a pair of jeans priced at $78.95. He will also have to pay 6% sales tax and a 1% local option tax at the register. How much will he have to pay for the jeans?
Step-by-step explanation:
Price of Jeans = $78.35
30% coupon = 30% × $78.35 = $23.51
6% sales tax = 6% × $78.35 = $4.70
1% local option tax = 1% × $78.35 = $0.78
Total cost of jeans = $78.35 - $23.51 + $4.70 + $0.78 = $60.32
Joan
made 3 quarts of soup. She
ate 1/7 of the soup each day for
a week. How much soup did she
eat each day?
Answer:
21 quarts of soup
Step-by-step explanation: I take . as a mutiply
This is easy you just need to take \(3 : \frac{1}{7} = \frac{3}{1} : \frac{1}{7} = \frac{3}{1} . \frac{7}{1} = \frac{3 . 7 }{1 . 1} = \frac{21}{1} = 21\) quarts of soup
Plzzzz Answer As SOON AS POSSIBLE. What is the volume of the figure? Down below? it will be worth your while ;)
Answer:
=60 cm
Step-by-step explanation:
i took the test
5. If x = 22, which equation is true?
a. 3(x - 20) = 6
b.60% - 15) = 40
c. 40x8) 110
22
d.4x+32
130
a.3(x-20)=6
see if it helps bye
A game card handed out at a grocery store states the probabilities of winning a prize: 0.2 for $10, 0.1 for $5, and 0.7 for $0. What is the probability of winning any amount of money?
Answer:
Step-by-step explanation:
To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.
Given the probabilities stated on the game card:
Probability of winning $10 prize = 0.2
Probability of winning $5 prize = 0.1
Probability of winning $0 prize = 0.7
To find the probability of winning any amount of money, we add these probabilities together:
0.2 + 0.1 + 0.7 = 1
The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.
Therefore, the probability of winning any amount of money in this game is 100%.
Hope this answer your question
Please rate the answer and
mark me ask Brainliest it helps a lot
seb buys 1 gallon of paint that covers 400 square feet
The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.
How to find the amount of paint ?There would be two walls with 10 x 16 dimensions so the area is :
= 2 x 10 x 16
= 320 square feet
Two walls with 20 x 10 dimensions :
= 2 x 20 x 10
= 400 square feet
The total area is :
= 400 + 320
= 720 square feet
One gallon of paint can cover 400 square feet so the number of gallons needed is:
= 720 / 400
= 1. 8 gallons
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Full question is:
One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.
The weekly sales results of three sales teams are
isplayed below.
Which of the following statements is not true, according
to the graph?
Sales Results
100
O Team A has its highest sales toward the end of the
week
Team B has its highest sales toward the end of the
week
80
Dil Team C
Relative Frequency
O Team A has its lowest sales toward the beginning of
the week
Team C has its highest sales toward the beginning
of the week
II. Team B
40
Team A
20
Mon
TU
w
Thurs
Day
Answer:
c!!!!
Step-by-step explanation:
Is 3x-18 equivalent to 3.(x-6)
Answer:
Yes it is.
Step-by-step explanation:
If you distribute you will get the same answer, 3x-18 because 3 times x is 3x and 3 times 6 is 18.
Hope this helps!!
Which are equivalent expressions?
Check all that are true.
a + b • 3 = 3a + 3b
(a + 3b)3 = 3a + 9b
a + b • 3 = a + 3b
a + 3b • 3= 3a + 6b
a + 3b • 3 = a + 9b
❥\(\Large\pmb{ \underline {\tt Answer}}\)
#1
a + b • 3 = 3a + 3b
No
Actual equation formed:-
a + 3b = 3a + 3b
#2
(a + 3b)3 = 3a + 9bYes
#3
a + b • 3 = a + 3b
Yes
#4
a + 3b • 3= 3a + 6b
No
Actual equation formed:-
a + 9b
#5
a + 3b • 3 = a + 9b
Yes
Rule applies:-
BODMAS
B - brakets
O - on/off
D- divide
M - multiply
A - add
S - subtract
━━━━━━━━━━━━━━━━━━
5 2/5 as a mixed number
Answer:
Mixed numbers have a whole number followed by the fraction (2 1/2). You would say "two and one half." The other format is an improper fraction where the numerator is greater than the denominator (5/2). Mathematicians would say that is five halves.
Answer:
27/5 I think um I have to fill out the question so ya
On a coordinate plane, a line with positive slope goes through points A and B. Point A is at (0, negative 2) and point B is at (3, 0). Use the graph of the line shown to determine its slope. The slope of line AB is .
According to the given information, the slope of line AB is \(\frac{2}{3}\).
What is the slope?
The slope of a line is a measure of how steep the line is. It tells us how much the y-coordinate of the line changes for each unit of change in the x-coordinate.
To visualize a slope, imagine a line on a coordinate plane. If the line is steep, it means that for each unit of increase in the x-coordinate, the y-coordinate changes by a larger amount. Conversely, if the line is less steep, it means that for each unit of increase in the x-coordinate, the y-coordinate changes by a smaller amount.
To find the slope of a line that passes through two given points, we use the slope formula:
\(slope = \frac{(change in y) }{(change in x)}\)
In this case, we have points A(0, -2) and B(3, 0).
So the change in y is 0 - (-2) = 2, and the change in x is 3 - 0 = 3.
Therefore, the slope of line AB is:
\(slope = \frac{(change in y) }{(change in x)} = \frac{2}{3}\)
Since the slope is positive, we know that the line slants upwards as we move from left to right on the coordinate plane.
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Subtract 4 from 1/6 of 42 5th grade
Answer:
3
Step-by-step explanation:
subtract 4 from 1/6 of 42. In middle school my traxhers always told me that of menas multiply, and in this situation it still holds. 1/6 x 42 is 42/6 or 42 divided by 6 which is 7. So now that makes this simpler, its saying subtract 4 from 7, so 7-4 =3
find the third, fourth, and fifth terms of the sequence defined by
a1 = 1, a2 = 3,
and
an = (−1)nan − 1 + an − 2
for
n ≥ 3.
The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.
The sequence is defined by the following formula:
a1 = 1, a2 = 3,
and
an = (-1)nan - 1 + an - 2 for n ≥ 3.
To find the third term (a3), we substitute n = 3 into the formula:
a3 = (-1)(3)(a3 - 1) + a3 - 2.
Next, we simplify the equation:
a3 = -3(a2) + a1.
Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:
a3 = -3(3) + 1.
Simplifying further:
a3 = -9 + 1.
Therefore, the third term (a3) is equal to -8.
To find the fourth term (a4), we substitute n = 4 into the formula:
a4 = (-1)(4)(a4 - 1) + a4 - 2.
Simplifying the equation:
a4 = -4(a3) + a2.
Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:
a4 = -4(-8) + 3.
Simplifying further:
a4 = 32 + 3.
Therefore, the fourth term (a4) is equal to 35.
To find the fifth term (a5), we substitute n = 5 into the formula:
a5 = (-1)(5)(a5 - 1) + a5 - 2.
Simplifying the equation:
a5 = -5(a4) + a3.
Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:
a5 = -5(35) + (-8).
Simplifying further:
a5 = -175 - 8.
Therefore, the fifth term (a5) is equal to -183.
In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.
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DG and EG are tangent to circle C and circle F. The points of tangency are A, B, D, and E. if M
From the question and the given diagram, we were told that:
DG and EG are tangent to circle C and circle F.
The point of tangency are A, B, D, and E.
If M
We are to find m
In solving this, we will have to need or consider the similarity theorem.
Its says that if corresponding angles are congruent, then their angles are similar.
It in essence states that, C
Let f(x) = x ^ 2 + 5 and g(x) = sqrt(x - 5) Find the rules for (fg)(x) (gf)(x)
Answer:
To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.
(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x
(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|
Therefore, the rules for (fg)(x) and (gf)(x) are:
(fg)(x) = x
(gf)(x) = |x|
Step-by-step explanation:
Identify the slope and y-intercept of the line.
8x - 3y = 12
Answer:
y=8/3x-4
Step-by-step explanation:
use the app photomath to get the answers or socratic there free and will help you on homework or tests
Answer:
Step-by-step explanation:
8x-3y=12
-3y=12-8x
y=(12/-3)-8x/(-3)
y= -4+8/3x
slope= 8/3
y-int=-4