Answer:
After 5 minutes, it remains 75.73 grams of mass.
Step-by-step explanation:
Each minute, the mass is decreased by a 25.5%. So, we can find the mass after each minute period.
First minute.
330gr - 0.255 (330gr)= (330 - 84.15)gr = 245.85gr
Second minute.
245.85 - 0.255 (245.85) = 245.85 - 62.69 = 183.16gr
Third minute.
183.16 - 0.255 (183.16) = 183.16- 46.70= 136.45gr
Fourth minute.
136.45- 0.255 (183.16) - 136.45 - 34.80= 101.65gr
Fifth minute.
101.65 - 0.255 (101.65)= 101.65 - 25.92= 75.73gr
Therefore, after 5 minutes, it remains 75.73 grams of mass.
Find the square (8m-7)^2
Answer:
64m^2 - 112m + 49
Step-by-step explanation:
You just do the math lol.
Answer:
64m^2 + 112m + 49
Step-by-step explanation:
I got it right in Grandpoint.
Income You are starting your first job as an assistant manager at a
sporting goods store. You receive a base salary of $14.75 per hour with
time-and-a-half for hours in excess of 40 hours per week. You are paid
every two weeks. Social Security and Medicare are deducted from your
pay. Social Security tax is 6.2% of the gross pay. Medicare tax is 1.45% of
the gross pay. What is the bi-weekly (every two weeks) deduction for
Social Security and Medicare? *
O $118.00
O $76.50
$89.90
$90.27
The bi-weekly deduction for Social Security and Medicare is $90.27.
Since you receive a base salary of $ 14.75 per hour with time-and-a-half for hours in excess of 40 hours per week, and you are paid every two weeks, and Social Security and Medicare are deducted from your pay, and Social Security tax is 6.2% of the gross pay, and Medicare tax is 1.45% of the gross pay, to determine what is the bi-weekly (every two weeks) deduction for Social Security and Medicare, the following calculation must be performed:
(14.75 x 40 x 2) x ((1.45 + 6.2) / 100) = X 1180 x 0.0765 = X 90.27 = X
Therefore, the bi-weekly deduction for Social Security and Medicare is $90.27.
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Pauline wants to sell stainless steel water bottles as a school fundraiser.
She knows that she will maximize profits, and raise $1024, if she sells
the bottles for $28 each. She also knows that she will lose $4160 if she sells the bottles for only $10 each.
Write a quadratic relation to model her profit, P, in dollars, if she sells the bottles for x dollars each.
Answer:
P = -16(x -28)² +1024
Step-by-step explanation:
The equation can be written in vertex form as ...
P = -a(x -h)² +k
where (h, k) is the vertex, and 'a' is a scale factor. We are given the vertex (h, k) = (28, 1024) and another point (x, P) = (10, -4160). Using these points, we can find the value of 'a'.
-4160 = -a(10 -28)² +1024
-5184 = -324a . . . . simplilfy
a = 5184/324 = 16 . . . . divide by the coefficient of 'a'
A suitable quadratic relation is ...
P = -16(x -28)² +1024
What is the molarity of a solution
made by dissolving 67.3 g of lithium
chloride (LiCl) in enough water to
make 2.37 L of solution?
Molar Mass Li: 6.94 g/mol
Molar Mass Cl: 35.45 g/mol
Answer:
0.670. M
Step-by-step explanation:
Molarity can be expressed like this:
molarity = number of moles /volume (L)
We know the volume, which is 2.37 L , but we need to find the number of moles. We can do this by dividing 67.3 g by the molar mass of L i C l :
number of moles = mass of sample /molar mass
number of moles = 67.3 g /(6.94 + 35.45) g/mol = 67.3 g /42.39 g/mol
number of moles = 1.59 mol
molarity = 1.59 mol /2.37 L = 0.670. M
I need help on math please
Answer:
if i correct pls comment I think it is 33
Find the set of values of a for which the point P (2a + 3; 3a-2) is in the fourth quarter of the coordinate plane (with this
Not located on the coordinate axes).
Answer:
-3/2 < a < 2/3
Step-by-step explanation:
In the fourth quarter of the coordinate plane, x > 0 and y < 0. This means ...
2a +3 > 0
3a -2 < 0
__
The first inequality has the solution ...
2a > -3 . . . . subtract 3
a > -3/2 . . . . divide by 2
The second inequality has the solution ...
3a -2 < 0
3a < 2 . . . . add 2
a < 2/3 . . . divide by 3
The set of values of 'a' that put P in the fourth quarter is ...
-3/2 < a < 2/3
QUESTION 21 PLEASE HELPPP
Answer:
one solution
Step-by-step explanation:
Since both are y-isolated equation, we can write as:
[tex]\displaystyle \large{6x-2=4x-2}[/tex]
Solve for x, first move 4x to subtract with 6x and -2 to add with -2
[tex]\displaystyle \large{6x-4x=-2+2}\\\displaystyle \large{2x=0}\\\displaystyle \large{x=0}[/tex]
Then substitute x = 0 in any of these equations which we receive y = -2.
And the solution is (0,-2) which only has one solution.
Express the following surds in the simplest form
a)
[tex] \sqrt{128} [/tex]
b)
[tex] \sqrt{48} [/tex]
c)
[tex] \sqrt{300} [/tex]
[tex] \sqrt{128} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} } \\ = 2 \times 2 \times 2 \\ = 8[/tex]
[tex] \sqrt{48} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{ {2}^{2} \times {2}^{2} \times 3 } \\ = 2 \times 2 \sqrt{3} \\ = 4 \sqrt{3} [/tex]
[tex] \sqrt{300} \\ = \sqrt{2 \times 2 \times3 \times 5 \times 5} \\ = \sqrt{ {2}^{2} \times 3 \times {5}^{2} } \\ = 2 \times 5 \sqrt{3} \\ = 10 \sqrt{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Which of the following is equal to 2,952 ÷ 24?
A.
(2,400 ÷ 24) + (480 ÷ 24) + (72 ÷ 24)
B.
(2,400 + 24) ÷ (480 + 24) ÷ (72 + 24)
C.
(2,400 + 24) + (480 + 24) + (72 + 24)
D.
(2,400 ÷ 24) - (480 ÷ 24) - (72 ÷ 24)
Answer:
A
Step-by-step explanation:
After doing long division we then know that 2,952 ÷24 = 123
We 1st follow pemdas knowing this we solve the equations in parenthesis 1st
(2,400 ÷ 24) + (480 ÷ 24) + (72 ÷ 24)
2,400 ÷ 24 = 100
480 ÷ 24 = 20
72 ÷ 24 = 3
We can then rewrite the equation as
100 + 20 + 3 We then solve left to right
100 + 20 = 120
120 + 3 = 123
5) Using the formula A=652
find the surface area of a
cube with sides measuring 8
inches.
Answer:
81.5
Step-by-step explanation:Cube has all sides of equal dimensions and like that it has 6 faces.
So total surface area of cube is equal to the combined area of all the six faces.
Now each face has equal dimensions so same area
Therefore,
area of a single face =side²
Therefore, area of entire cube = 6 times the area of a single face
= 6 * side²
.
What is the value of the expression? 75÷5−[(9−7)×3]×2
Answer:
3
Step-by-step explanation:
75÷5-[(9-7)×3]×2
do innermost inclusion symbols first, which would be 9-7
75÷5-[2×3]×2
now multiply 2 and 3
75÷5-(6)×2
now divide 75 by 5
15-6×2
now multiply
15-12
3
The required simplified value of the given expression is 13.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= 75÷5−[(9−7)×3]×2
Following the PEMDAS rule,
= 25 - [2×3]×2
= 25 -[6]×2
= 25 - 12
= 13
Thus, the required simplified value of the given expression is 13.
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Luis wants to but a skateboard that usually sell for $79.64. All merchandise is discounted by 12%
Answer:
$79.64
Step-by-step explanation:
I think it's still 79.64
Answer:
it will be equal 70.08 $
The distances between the bull's-eye of a target and 100 darts thrown by an expert
A container can hold 2400 litres of water. (a) A large tap alone can fill the container in x hours. Write down an expression, in terms of r, for the amount of water that the large tap can dispense per minute. {b) A small tap alone will take 1 hour longer than the large tap to fill the co tainer. Write down an expression, in terms of x, for the amount of water that the small tap can dispense per minute. (c) When both taps are turned on at the same time, they can fill the container in 3 hours. Form an equation in x and shows that it reduces tox? -5x-3=0. X 20.
Answer:
Determine the required value of the missing probability to make the distribution a discrete probability distribution. x p(x) 3 0.23 4 ? 5 0.51 6 0.08 p(4) = nothing (type an inte...
I need help with this please
Answer:
hello the answer you are looking for should be s3xy kong 243
Step-by-step explanation:
Don't answer this question
Answer:
Ok
Step-by-step explanation:
Help help help math math
Answer:
Function
Step-by-step explanation:
Hope it help !!
What order should you simplify like terms in? E.g. [tex]16-4\sqrt{5} -4\sqrt{5} +5[/tex] A video said to Simplify the numbers first as they will be positive?
But in [tex]6+3\sqrt{5} +2\sqrt{5}+5[/tex] You simplify the surds first.
Answer:
It does not matter, since, from your second case, [tex]5\sqrt5 +11 = 11+5\sqrt5[/tex].
In general is a matter of personal preference but in general I like to start with a positive number (I like [tex]\sqrt2 -1[/tex] more than [tex]-1+\sqrt2[/tex] since if there's an equal sign before I'm guaranteed to have the two signs mesh together in a few steps).
If everything you are adding together is positive, I just go first come first served and pick a new term in order it appears in the previous passage.
What is the value of x in the equation 4
.
+
2
Answer:
x=-3
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer:
It has no solution because, 14x cancels out -14x when you move the variables to the left and leaves the equation as 0 = -12, however we know that 0 does not equal -12 which means this solution is false; therefore this equation has no solution since 0 does not equal -12.
Step-by-step explanation:
5 - 4x - 7 - 10x = -8x - 4 - 6x - 10 (Given)
-2 - 14x = -14x - 14 (Combine like terms)
0 = -12 (Move variables(x) to the left and the constants to the right)
Rewrite in simplest terms: (-9x + 7y) - (-9x + 5y)
Answer:
3y
Step-by-step explanation:
(-9x+7y)-(-9x+5y)
Distribute the negative(-)
-9x+7y+9x-5y
-9 and 9 cancel each other
3y
The simplest terms of the given expression (-9x + 7y) - (-9x + 5y) will be 2y.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
(-9x + 7y) - (-9x + 5y)
Open the bracket
-9x + 7y + 9x - 5y
Combined likely terms together
-9x + 9x + 7y - 5y
0 + 2y = 2y
Hence "The formula (-9x + 7y) - (-9x + 5y) will have 2y as its simplest terms".
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Ten minus three tenths of n
Answer:
[tex]10 - \frac{3}{10} n[/tex]
Step-by-step explanation:
hope that is right and hope it helps
Please answer. I will give brainliest to the best answer
Answer:
b
Step-by-step explanation:
took the test a bit ago
What is the prime factorization of 32?
A. 32 = 2 x 4x4
B. 32 = 2x2x2x2x2
C. 32 = 2x2x2x2
D. 32 = 2 * 2 * 2 * 4
Answer:
2nd option
Step-by-step explanation:
Repeatedly divide by 2 until the value 1 is reached
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 2 = 1 ← finish here
Then
32 = 2 × 2 × 2 × 2 × 2
Ernesto bought a 20-pound bag of dog food for his Great Dane, Tank. After 7 days, all the dog food was gone.
How much dog food did Tank eat each day?
Answer:
About 2.9 pounds per day.
Step-by-step explanation:
20÷7=2.85714...
rounded- 2.9
So Tank, the Great Dane, ate about 2.9 pounds per day.
Answer:
Step-by-step explanation:
2 6/7
Determine the slope from the given graph below:
A ⇹ The slope is -7
B ⇹ The slope is−16
C ⇹ The slope is 6
D ⇹ The slope is -6
Step-by-step explanation:
the slope is the ratio of "y coordinate difference / x coordinate difference".
so, let's find 2 good points (I mean by that with integer coordinates). I see e.g.
(-1, -1) and (0, -7)
x changes by +1 (from -1 to 0).
y changes by -6 (from -1 to -7).
so, the slope is -6/1 = -6.
D is the right answer.
Help needed rn i have a few minutes left
Answer:A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
10. A wedding reception bartender is faced with a problem: how many litres of fruit juice must be
mixed with 4 litres of a 24% flavoured rum to make a rum punch of 8% strength?
9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.
To determine how many liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength, the following calculation must be performed:
(4 x 24 + 4) / 8 = 12.5 (4 x 24 + 8) / 12 = 8.66 (4 x 24 + 9) / 13 = 8.07 (4 x 24 + 9.14) / 13.14 = 8
Therefore, 9.14 liters of fruit juice must be mixed with 4 liters of a 24% flavored rum to make a rum punch of 8% strength.
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There are 52 grams of carbs in 1/4 cup of syrup for a particular brand. How many carbs are in 1 tablespoons?
Round your answer to the nearest integer.
There is a total of 52 grams of carbs in 1/4 cup, then 1 tablespoon will contain 208 grams of carbs.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given information in the question,
There are 52 grams of carbs in 1/4 cup of syrup
Let's assume that the amount of carbs in 1 tablespoon is x.
So,
x = (52 × 4)
x = 208 grams.
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can someone help plz I need help ASAP!
Answer:
[tex]y= \frac{1}{3}x -9[/tex]
Step-by-step explanation:
First you must substract -5 to both sides
-5-4= -9
[tex]y= \frac{1}{3}x -9[/tex]