Which is a correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” when n = 4?
The correct expression is StartFraction n cubed Over 16 EndFraction minus 2 + 8.
The correct expression is 2 minus StartFraction n cubed Over 16 EndFraction + 8.
One of the steps to determining the value when n = 4 is 1 minus 2 + 8.
One of the steps to determining the value when n = 4 is 2 minus 1 + 8.
The value when n = 4 is 6.
The value when n = 4 is 7.
The value when n = 4 is 9.
The value when n = 4 is 10.
Answer:
A and H are correct
Step-by-step explanation:
I took the quiz
The expression for the given statement is n³/16-2+8. Therefore, the options A and H are correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given statement is “two less than the quotient of a number cubed and sixteen, increased by eight”
"Two less than x" describes "x- 2"
"Quotient of x and y" describes x/y
"x increased by y" describes x+y
n³/16 is the quotient and 2 is subtracted and 8 is increased which means 8 is added.
So, the expression is n³/16-2+8
= n³/16 +6
When n=4, we get
4³/16 +6
= 4+6
= 10
Therefore, the options A and H are correct answer.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ3
its a mee again and I just wanted to ask
whats 10 divided by 9075
Answer:
0.00110192837
Step-by-step explanation:
An item has listed price of $70. If the sales tax rate is 9%, how much is the sales tax (in dollars)
Answer:
The final sales tax price is $6.30.
Step-by-step explanation:
We know that the item has a listed price of $70, and it also has a 9% sales tax rate. In order to calculate this amount we need to do some multiplying.
$70 is the full amount of money, or 100%, plus 9% is 109%. To calculate the sales tax, we need to multiply the listed price by the sales tax rate.
70 x 1.09 = 76.3
Now, we must subtract the listed price (or $70), by the sales tax price (or $76.30)
76.3 - 70 = $6.30
Therefore, the final price of the sales tax is $6.30.
Hope this helps! :)
Which correctly explains how to estimate 55 percent of 64? A. Round 55 percent to 40 percent and 64 to 60. Think of 40 percent as 1/4 so 1/4 of 60 is 15 B. Round 55 percent to 60 percent and 64 to 70. Think of 60 percent as 1/3 so 1/3 of 70 is 23.3 C. Round 55 percent to 50 percent and 64 and 70. Think of 50 percent as 1/5 so 1/5 of 60 is 12 or D. Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2 so 1/2 of 60 is 30
Answer: Choice D
Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as 1/2 so 1/2 of 60 is 30.
===================================================
Explanation:
There are many ways to estimate, but this is probably the easiest since 1/2 = 0.50 = 50%, and taking half of something is fairly straightforward and quick.
Taking half of 60 is like taking half of 6, except we stick at 0 at the end.
Half of 6 is 3
Half of 60 is 30
The estimate of 55% of 64 is 30
The actual value is
55% of 64 = 0.55*64 = 35.2
which isn't too far off.
-------------------------
Extra info:
Choice A is false because 40% is not equal to 1/4. Instead 1/4 = 0.25 = 25%Choice B is false because 1/3 = 0.333 = 33.3% approximately, so 1/3 is not equal to 60%Choice C is false because 1/5 = 0.20 = 20% and not 50%Simplify:
a) 3y - y
b) 69 + 4 - 9 +5
Answer:
a) 2y
b) 69
Step-by-step explanation:
Help me look at the picture
Answer:
it's B
Step-by-step explanation:
lol how do you not know this
Answer:
B
Step-by-step explanation:
Robert had money in his savings account. He spent $35.80 of it on a new jacket. He has $70 left. How much money did he have in his savings before he bought the jacket?
Answer:
105.8
Step-by-step explanation:
All you have to do is add them up :)
Answer:
95.80
Step-by-step explanation:
Btw this is very easy Hope this Helps tho (✿◡‿◡)
52 = p - 3
what is p ?
Answer: P=55
Step-by-step explanation:
52=p-3
52+3= p+3
55=p (-3+3=0)
There are 12 members in a bicycle club this fall. But next summer, Noelle hopes the number of members will be 175% of this number. What is Noelle’s goal for the number of members next summer
Round 90.2844097979 to 3 decimal places.
Answer:
It would be 90.284.
Step-by-step explanation:
What is the y intercept? 7x+y=10
Answer:
the y intercept is y
Step-by-step explanation:
because we have the variable already/////
10 teachers mark 500 exam papers in 30 hours. How many teachers are needed to mark 600 exam papers in 25 hours
Answer:
Approximately 15 tea hees
Step-by-step explanation:
Given that:
Number of teachers needed to Mark 500 exam papers in 30 hours =
Hence, marking rate of each teachers ;
500 / (30 * 10) = 500 / 300 = 1.667 papers per hour
If teachers mark at this rate, the number of teachers which will be required to mark 600 exam papers in 25 hours ;
Let number of teachers = t
(Rate * number of hours * number of teachers) = number of exam papers to be marked
(1.6667 * 25 * t) = 600
41.666665t = 600
t = 600 / 41.666665
t = 14.40000
Number of teachers needed = about 15 teachers
⚠️⚠️ Find the correct for each input. Then, tell whether the function is linear or nonlinear ⚠️⚠️
Answer:
-1, -7
1, 3
3, -1
5, -5
Step-by-step explanation:
Multiply out and simplify: (x + 6)(x - 2)
Answer:
x squared+4x−12
Step-by-step explanation:
Answer:
[tex] {x}^{2} + 4x - 12[/tex]
Step-by-step explanation:
[tex](x + 6)(x - 2)[/tex]
[tex] = > x(x - 2) + 6(x - 2)[/tex]
[tex] = > {x}^{2} - 2x + 6x - 12[/tex]
[tex] = > {x}^{2} + 4x - 12[/tex]
Is (-1, -4) a solution to a equation y=6x_ -2?
ahhhhhhhhh come on I'm so stupid
Answer:
1. -32
2. -46
Step-by-step explanation:
1. When muliplying a number with a postive number and a negative number the answer will be a negative number
2. When you have a negative number and when you have a postive number and you are subtracting your answer has to be a negative answer
Answer:
cvgbnm,m
Step-by-step explanation:
bxxcvn vn
A truck that is 11 feet tall and 7 feet wide is traveling under an arch. The arch can be modeled by:
y=-0.0625x+1.25x +5.75 where x and y are measured in feet.
a) Will the truck fit under the arch? Explain (with numerical details).
BIRD
b) What is the maximum width that a truck 11 feet tall can have and still make it under the arch?
Answer:
Yes
8 ft
Step-by-step explanation:
The equation of the arch is
[tex]y=-0.0625x^2+1.25x+5.75[/tex]
Differentiating with respect to [tex]x[/tex] we get
[tex]\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25[/tex]
Equating with zero
[tex]0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10[/tex]
Double derivative of the equation
[tex]\dfrac{d^2y}{dx^2}=-0.125<0[/tex]
So, the function is maximum at [tex]x=10[/tex]
[tex]y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12[/tex]
The function is maximum at [tex](10,12)[/tex]
So, the truck's center should be below the point [tex](10,12)[/tex] for maximum width to pass through.
Now truck is 11 feet tall so [tex]y=11[/tex]
[tex]11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14[/tex]
The maximum width of the truck can be [tex]14-6=8\ \text{ft}[/tex] if it is 11 feet tall.
So, the truck which has a width of 7 feet can fit under the arch.
In triangle ABC, EG = x inches and BG = (5x - 12) inches. Triangle A B C has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments A D, B E, C F. [Figure may not be drawn to scale] What is EB? 2 inches 4 inches 8 inches 12 inches
Answer:
12. Hope this helps!!!
Step-by-step explanation:
Answer: Option D
Step-by-step explanation: edge
4.5 +(6y-3.5x)+7=
expression
Joshua's car used is of a gallon to travel of a mile. At what rate does the car use gas, in miles per gallon? On the double number line below, fill in the given values] , then use multiplication to find the missing value. Enter your answers as fractions, mixed numbers, or whole numbers. To enter a mixed number on the double number line, use a space and the slash key. For example: 3 1/2 miles o O 1 gallons Enter your final answers as fractions,mixed numbers,or whole number
What is the area of ABC?
Answer:
Area of triangle ABC = 10
Option C is correct.
Step-by-step explanation:
We need to find area of triangle ABC
We are given A(2,1) B(4,7) and C(6,3)
The formula used to find [tex]Area \ of \ triangle=\frac{1}{2}base\times height[/tex] ABC is:
In the given triangle base= AC and height = BC
First we need to find the distance between A and C and B and C
The formula used to find distance between AC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=2, y_1=1, x_2=6, y_2=3[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-2)^2+(3-1)^2}\\Distance=\sqrt{(4)^2+(2)^2}\\Distance=\sqrt{16+4}\\Distance=\sqrt{20}[/tex]
find distance between BC [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have [tex]x_1=4, y_1=7, x_2=6, y_2=3[/tex]
Putting values and finding distance
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-4)^2+(3-7)^2}\\Distance=\sqrt{(2)^2+(4)^2}\\Distance=\sqrt{4+16}\\Distance=\sqrt{20}[/tex]
So, We have height = [tex]\sqrt{20}[/tex] and base = [tex]\sqrt{20}[/tex]
Finding area of triangle
[tex]Area \ of \ triangle=\frac{1}{2}base\times height\\Area \ of \ triangle=\frac{1}{2}\sqrt{20} \times \sqrt{20} \\Area \ of \ triangle=\frac{1}{2}\times 20\\Area \ of \ triangle=10[/tex]
So, Area of triangle ABC = 10
Option C is correct.
PLEASE HELP ME !
Determine the range of the inequality 4x2 + 3x - 10
Answer:
-22
Step-by-step explanation:
type it in google
turn y=4x-7 into standard form.
What is a function in math?
if you explain I will make you brainiest!
Answer:
A function is an equation in math that connects an input to a given output.
Step-by-step explanation:
Estimate the following product in scientific notation, and then select the best answer for the product’s power of 10.
2.7
14
15
27
Answer:
15
Step-by-step explanation:
Which answer is correct? Please hurry
Answer:
15
Step-by-step explanation:
40 of them are offense players, 5 are special teams which means that 15 are defensive
Answer: 2/3 of 60 = 40
1/12 of 60 = 5
40 + 5 = 45 obviously.
45 + 15 = 60.
Therefore the amount of defensive players would be 15.
reduce the ratio to its lowest form 18:81
Answer:
1:4.5 or 2:9 if you want it a whole number.
Step-by-step explanation:
81/18 = 4.5If your trying to get it to a whole number the answer would be 2:9 because 18/9 = 2 and 81/9 = 9 so 1:4.5 or 2:9.
Given the equation 4x + 2y = 9, which equation below would cause an inconsistent-independent system? (2 points)
Answer: 2x+y=-6
Step-by-step explanation:
Juliet needs to rewrite 3 (x + 2) = 6 y in slope-intercept form so she can easily graph it. Which step would be correct to start the process?
A. She could combine the x and 2 to get 3 (2 x) = 6 y.
B. She could divide both sides by 3 to get x + 2 = 2 y.
C. She could distribute the 3 to get 3 x + 2 = 6 y.
D. She could subtract the 6y to get Negative 6 y = 3 (x + 2).
Answer:
because the x+2 is in parentheses, to put the equation in slope intercept form you would distribute the 3 to the x and the 2 using multiplication. So it would be 3x+6=6y. The final result would be y=1/2x+1.
Answer:
C. She could distribute the 3 to get 3 x + 2 = 6 y.
Step-by-step explanation:
Solve each multi-step linear equation
12-6x=-8x+7+7x
Answer:
1
Step-by-step explanation:
12-6x=-8x+7+7x
-6x+8x-7x=7-12
-5x=-5
X=5/5
X=1
So the value of X is 1