A cell phone normally sells for $500, but it is marked down 30% and you have a coupon for an additional 15% off. How much would it cost you to purchase the cell phone?
Answer:
$275
Step-by-step explanation:
30% + 15%=45%
45% of 500 is 225, because 500 x 0.45=225. Then subtract the discount from the total, 500 - 225, and you get 275
Question 4 (1 point)
A ball is thrown from a mountain 960 feet high, into the air with an upward velocity of 64 ft/s. When did the ball hit the
ground? And What was the max height it reached?
Answer:
The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.
Step-by-step explanation:
Height of a mountain, h = 90 feet
Upward velocity of a ball, u = 64 ft/s
Its height as a function of time can be written by using the second equation of motion as follows :
[tex]f(x) = -16t^2 + 64t + 960[/tex] .....(1)
When it will hit the ground, f(x) = 0
[tex]-16t^2 + 64t + 960=0\\\\16(-t^2+4t+60)=0\\\\-t^2+4t+60=0[/tex]
It is quadratic equation.
t = -6 s and t = 10 s
Neglecting -6 seconds, the ball will hit the ground at 10 seconds.
For maximum height,
Put f'(x) = 0
[tex]-32t+64=0\\\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]
Put t = 2 in equation (1)
[tex]f(2) = -16(2)^2 + 64(2) + 960\\\\=1024\ \text{feet}[/tex]
Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.
Help please I’m confused?? I
Answer:
A
Step-by-step explanation:
NEED HELP ASAP! MY GRADES ARE ON THE LINE
Owen needs to print a large document. He printed the first 35 pages earlier, and the printer can print 23 pages per minute. Which of the following solutions are viable that relate the number of minutes the printer is running and the total number of completed pages Owen has printed? Select the two correct answers:
1. A total of 128 pages are printed after 3 minutes.
2. A total of 81 pages are printed after 2 minutes.
3. A total of 138 pages are printed after 6 minutes.
4. A total of 150 pages are printed after 5 minutes
5. A total of 122.5 pages are printed after 4.5 minutes.
Answer:
2. and 4.
Step-by-step explanation:
Answer:
A lot of 128 pages are printed after 3 minutes.
Step-by-step explanation:
What is the following sum? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0
Answer:
[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}[/tex]
Hence, ption B is true.
Step-by-step explanation:
Given the expression
[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}[/tex]
solving the expression
[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}[/tex]
as
[tex]\sqrt{x^2y^3}=xy\sqrt{y}[/tex]
[tex]2\sqrt{x^3y^4}=2xy^2\sqrt{x}[/tex]
so the expression becomes
[tex]\:\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=xy\sqrt{y}+2xy^2\sqrt{x}+xy\sqrt{y}[/tex]
Group like terms
[tex]=2xy^2\sqrt{x}+xy\sqrt{y}+xy\sqrt{y}[/tex]
Add similar elements
[tex]=2xy^2\sqrt{x}+2xy\sqrt{y}[/tex]
Therefore, we conclude that:
[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}[/tex]
Hence, option B is true.
Answer:
b
Step-by-step explanation:
please help me on this!
Answer:
y = 5/4x + 10
Step-by-step explanation:
First, we need to use point-slope form which is:
y - y₁ = m(x - x₁)
Now, we substitute the numbers:
y - 5 = 5/4(x - (-4))
y - 5 = 5/4(x + 4)
y - 5 = 5/4x + 5
y = 5/4x + 10
You can check by substituting the points into the equation:
5 = 5/4(-4) + 10
5 = -5 + 10
5 = 5
Question 7 of 10
What is the solution to this equation
Answer:
x = 4
Step-by-step explanation:
x + 4(x+5) = 40 (Given)
x + 4x + 20 = 40 (Distribute the 4 into the x and 5)
5x + 20 = 40 (Add like terms)
5x = 20 (Subtract 20 on both sides)
x = 4 (Divide 5 on both sides)
Instructions to care for a plant say to water it with 5 cups of water every day. The plant has been getting 15% too much water. How much water has the plant been getting?
Answer:
5.75 cups of water
Step-by-step explanation:
divide 5 by 15 % and add that to what it it should be getting
Len bought 12.3 ounces of cashews and 15.2 ounces of almonds.
He calculates that if he and four friends share all the nuts equally,
each person will receive 5.1 ounces of nuts.
Which is the best explanation for whether or not his answer is reasonable?
A. Not reasonable; 12.3 + 15.2 = 25.5 and 25.5 ÷ 5 = 4.5.
B. Not reasonable; 12.3 + 15.2 = 27.5 and 27.5 ÷ 5 = 5.5.
C. Reasonable; 12.3 + 15.2 = 27.5 and 27.5 ÷ 5 = 5.1.
D. Reasonable; 12.3 + 15.2 = 25.5 and 25.5 ÷ 5 = 5.1.
Answer:
B
Step-by-step explanation:
Total ounces of nuts is cashews (12.3 ounces) plus almonds (15.2 ounces) is 27.5 ounces. If you divide 27.5 ounces by 5 people, 27.5 / 5 = 5.5 ounces each.
Need help please not sure
Answer: #3
Step-by-step explanation:
HELLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPP
Answer:
B
Step-by-step explanation:
Find the equation of the line that passes through (-1,2) and is perpendicular to 2y = 2x – 1.
Leave your answer in the form y = mx + c
Step-by-step explanation:
question is solved above in the picture
The equation of line that passes through point (-1,2) and which is perpendicular to 2y = 2x – 1 will be y = -x + 1.
Equation of lineThe General equation of a line is ax + by + c = 0
How to solve this problem? Since the line is perpendicular to 2y=2x-1, this means that its slope with be the opposite reciprocal of the line 2y=2x-1 ‘s slope.First, we should find the slope of the line 2y=2x-1:2y=2x-1
y=x-1/2
Therefore, the slope of 2y=2x-1 is 1 and the opposite reciprocal of 1 is -1 So far, we have this: y=-x+bTo find b (the y-intercept) we can plug the point (-1,2) into the equation we have so far and solve for b.y=-x+b
2=-(-1)+b
2=1+b
b=1
So, the equation of the line that passes through (-1,2) and which is perpendicular to 2y=2x-1 is y=-x+b
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PLEASE HELP ITS ABOUT TO BE DUE
When the value of y = -2, what is the solution to the equation 4(x - 3y) = 6(x - 3y)?
Answer:
x=-1
Step-by-step explanation:
4(x-3(-2))=6(x-3(-2)) => 4(x+6)=6(x+6) => 4x+24=6x+26 => -2=2x => x=-1
Please help me PLEASE..Thank you
Answer:
1)=-18x^5+60x^4-50x^3
2)k=3m/2-12
3)6x^2(x+2)(x-2)
Step-by-step explanation:
Hope dis helps :)
could i have brainliest
The slope of y= 1/2x-7 is___
Answer:
A. Always positive
Step-by-step explanation:
Answer:
The slope of y= 1/2x-7 is always positive.
Step-by-step explanation:
[tex]y = mx + c \\ y = \frac{1}{2} x - 7 \\ \boxed{slope = \frac{1}{2}} \: which \: is \:always \: positive.[/tex]
The function can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after
Answer: 0.09 mg
Step-by-step explanation:
To find out the milligrams in the blood after 10 hours you just need to replace the 'h' in the equation to 10.
= 5e⁻⁰°⁴ˣ¹⁰
= 5e⁻⁴
= 0.09157819444
= 0.09 mg
Here is a rectangle ABCD.
A
B
20 cm
30 cm
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.
Answer: 8%
Step-by-step explanation:
Original Perimeter of the rectangle is:
= 2 * ( Length * Width)
= 2 * (20 + 30)
= 100 cm
The length increased by 10%. It therefore increased to:
= 30 * ( 1 + 10%)
= 30 * 1.1
= 33 cm
The width increased by 5%. It increased to:
= 20 * ( 1 + 5%)
= 21 cm
New Perimeter is therefore:
= 2 * ( 33 + 21)
= 108 cm
Percentage increase in perimeter is:
= (New perimeter - old) / old perimeter
= (108 - 100) / 100
= 8%
If a credit card company charges 13.5% yearly interest, which of the following calculations would be used in the process of calculating the monthly interest rate?
Answer:
(1.135)^[tex]^1/12[/tex]
Step-by-step explanation:
The monthly interest rate is 1.125%
What is rate of change?
The rate of change of a function is the rate at which the output values change over the input value.
The rate of change of a function is one degree less than the actual function.
Here, it is given that :
a credit card company charges 13.5% yearly interest
therefore, to find the rate of interest charged per month divide 13.5% with 12 :
rate of interest charged per month = 13.5%/12
rate of interest charged per month = 1.125%
Therefore, the monthly interest rate is 1.125%
Read more about rate of change at:
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Look at this set of ordered pairs:
(3, -13)
(3, 2)
(18,-5)
Is this relation a function?
yes
no
Answer:
NoStep-by-step explanation:
Given ordered pairs:
(3, -13) (3, 2) (18,-5)There is a repeat of domains (3) with different range (-13 and 2) but the function can't have repeat domains so it is not a function
Answer:
It would not be a function
Step-by-step explanation:
A function has no repeating 'x' values
(3,-13) x=3
(3,2) x=3
(18,-5) x=18
So, because there is more than one of the same 'x' value (3) it is not a function.
I hope that helped :)
Expand -7(g-8)
I will give brainiest
Answer:
-7g + 56
Step-by-step explanation:
-7 (g - 8)
-7 × g + -7 × 8
-7g + 56
Plz help thanks I Appreciate it thanks
Answer:
x < -10/3 OR x > 20/3
Step-by-step explanation:
|5 - 3x| - 3 > 12
|5 - 3x| > 15
since it's absolute value, you have 2 scenarios to solve:
1) 5 - 3x > 15
-3x > 10
x < -10/3 (when dividing or multiplying by a negative, switch the symbol)
2) -(5 - 3x) > 15
-5 + 3x > 15
3x > 20
x > 20/3
The perimeter of a rectangular rug is 40 feet. It’s length is 12 feet. What is it’s width?
Answer: 8ft
Step-by-step explanation:
Answer:
The width is 8 feet.
Step-by-step explanation:
P=2L x 2W
2L=24
40-24=16
16=2W
1W=8
5/9(F-32)= -62.1 what is F?
Answer:
a
Step-by-step explanation:
Help plz ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
-2
Step-by-step explanation:
Let's solve your equation step-by-step.
−(3v+1)+7(6v+6)=−37
Step 1: Simplify both sides of the equation.
−(3v+1)+7(6v+6)=−37
−3v+−1+(7)(6v)+(7)(6)=−37(Distribute)
−3v+−1+42v+42=−37
(−3v+42v)+(−1+42)=−37(Combine Like Terms)
39v+41=−37
39v+41=−37
Step 2: Subtract 41 from both sides.
39v+41−41=−37−41
39v=−78
Step 3: Divide both sides by 39.
39v
39
=
−78
39
v=−2
Answer:
v=−2
Answer:-2
Step-by-step explanation:
Find the sum for the polynomials
(x2 - 4x + 3) + (3x2 – 3x - 5)
O 3x2 + 12x – 15
O 4.4 - 7x2 - 2
O 19.24
O 4x2 - 7x-2
Find -32.306 + (-24.884). Write your answer as a decimal.
-32.306 + (-24.884) =
help!!
Question 7 of 10
VA
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
4x - 2y=7
3x – 3y = 15
Answer:
Multiply the top equation by -3 and the bottom equation by 2.
A 60
B 30
C 1 20
D 15
fastest answer gets brainiest
Answer:
i think it would be A
Step-by-step explanation:
Answer:
B 30
Step-by-step explanation:
The answer is B :)
MJ has 100 cookies he gives 2 each to 9 of his friends then he gets 10 more cookies how many cookies dose he have
Answer:
*does
Step-by-step explanation:
Answer:
92?
Step-by-step explanation:
2x9=18 100-18+10=92
Jacob and Melissa both collect baseball cards. Let J represent the number of cards that Jacob has. Melissa has 5 fewer cards than Jacob. Write an expression that shows how many cards they have together.
Answer: 2J - 5
Step-by-step explanation:
The number of cards that Jacob has = J
Melissa has 5 fewer cards than Jacob. Melissa card will be: = J - 5
The expression that shows the number of cards they have together will be gotten by adding their cards together. This will be:
= J + (J - 5)
= J + J - 5
= 2J - 5