Solve for c in x^2 = 441
Taking the square root of both sides x = 21
Now x^3 = 21^3 = 9,261
The answer is 9,261
The solution is x² is to 441 as x³ is to 9261
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
x² = 441
Taking square roots on both sides , we get
x = 21
Therefore , x³ = 21 × 21 × 21
x³ = 9261
Hence , x² is to 441 as x³ is to 9261
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Graph the following inequality:
Answer: the intercept is love , the slope is you , dotted or solid is <3
Step-by-step explanation:
1.4y+5-4.2-5y^2+z
It has something to do with combing like terms
Identify the number of terms, variable terms and constant terms in the following expression.
Answer:
Step-by-step explanation:
[tex]4y+5-4.2-5y^{2}+z[/tex]
constant terms: 5 and -4.2 equals 0.8
No matching variable terms.
[tex]-5y^{2} + 4y+z+0.8[/tex]
4 total terms
Hello, please, I need the answers!! Each year a school booster club holds a dance to raise funds. In the past, the profit of the club makes after paying for the bank and other costs has been modeled by the function p(t) = -16t^2 - 800t - 4000 where t represents the ticket price in dollars. a. What ticket price gives the maximum profit? b. What is the maximum profit? c. What ticket prices would generate a profit of $5000?
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
16t^2 + 800t + 9000 = 0
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
t^2 + 50t + 562.5= 0
Factorize
-50±√2500-4(562.5)/2
t = -50±√2500-2250)/2
t = -50±15.81/2
t = -65.81/2 and -34.19/2
t = -32.91 and -17.09
Find 4+(−1 2/3). Write your answer as a fraction in simplest form.
Answer:
[tex]\frac{7}{3}[/tex]
I hope this helps!
Answer:
2 1/3
Step-by-step explanation:
in the circle shown, AB is tangent to circle o at point and OC is a radius
Which relationship is true?
Answer:
A. [tex] \overline{OC} \perp \overline{AB} [/tex]
Step-by-step explanation:
According to tangent theorem, a tangent is formed when the radius of a circle is perpendicular to the line, meeting at a point around the circle, such that the tangent line would be perpendicular to the radius of the circle with a center.
Given that [tex] \overline{AB} [/tex] is a tangent of the circle O, at a point C, and [tex] \overline{OC} [/tex] is a radius, therefore, it follows that:
[tex] \overline{OC} \perp \overline{AB} [/tex].
This means the radius of the circle is perpendicular to the tangent formed at point C.
Luis bought stock at $63.30. The next day, the price increased $12.80. This new price changed by −6 3/4% the following day. What was the final stock price, rounded to the nearest cent? Is your answer reasonable? Complete the explanation.
As you can see I NEED HELP RIGHT NOW!
Answer:
Ten over two would be at the very right side of this number line. It would be located at the number 5. Negative nine over two would be located two segment or lines after negative five.
Step-by-step explanation:
Ten over two would come out to a positive and whole number of five. Negative nine over ten comes out so negative four wholes and one half. So this gets located two segments after negative five because it is not fully negative five but it is negative four and one half. I got these whole numbers by simplifying the numbers that we started off with. Hope you have an amazing day and do well on your assignments.
-Vizion
Which equation is represented by the graph below?
Answer: 2/3 x +6
Step-by-step explanation:
slope is 2/3 and y intercept is 6
HELP! i can not figure this out! y=4x+1
Answer:
1
Step-by-step explanation:
g(n) = 4n +4
h(n) = n +5
Find (g- h) (9)
Answer:
3n-1
Step-by-step explanation:
(4n+4) - (n+5)
i sperate it to be
4n-n and 4-5
so
3n-1 should be it
9/2 ÷ 3/4
Please help me
Helpp!
Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table
| city | cost ($) | Tax rate |
| A | 250 | 12.5% |
| B | 215 | 14.75% |
What is the difference in cost between the two cities for a weekend trip? Round to nearest cent
Answer:
$34.54Step-by-step explanation:
city A
$250 x 1.125 $281.25city B
$215 x 1.1475 $246.713difference between the two cities = $281.25 - $246.713
= $34.54
The difference in cost between the two cities for a weekend trip will be $34.54.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table.
City Cost ($) Tax rate
A $250 12.50%
B $215 14.75%
Then the difference in cost between the two cities for a weekend trip will be given as,
⇒ $250 × 1.1250 - $215 × 1.1475
⇒ $281.25 - $246.71
⇒ $34.54
The difference in cost between the two cities for a weekend trip will be $34.54.
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Which of the following describe 4/8
Answer:
4/8 is one half.
Step-by-step explanation:
4/8 -- 4 goes into both the numerator and denominator -- 4 goes into 4 one time and 4 goes into 8 two times.
Therefore, you have 1/2.
Answer:
4/8=.5 or 1/2
Step-by-step explanation:
4/8 can be reduced to 1/2
which number is irrational number √79 0r √100000
What is 0.74 + (-3/5)
Answer:
It equals 0.14
Step-by-step explanation:
PLEASE ANSWER!! TIME LIMITED!! Use the gfc and the distributive property to find the expression that is equivalent to 36 + 48
A. 6(6+8)
B. 4(9+12)
C. 12(3+4)
D. 2(18+24)
after eating at a restaurant the bill for your table is $62.50. There is a 6% sales tax and you want to leave a tip for 18% based on the pre-tax amount. How much money do you need to cover your final bill?
Answer:
Step-by-step explanation:
Your bill is $62.50
$62.50 * .06 = $3.75 (this is your sales tax added)
So your total is up to: $66.25
Adding the tip the same way using $66.25 *.18 = $11.93
Tip would be $11.93
Total coming to: $78.17
hope this helps
Answer:
$77.50
Step-by-step explanation:
Tax:
62.50x0.06= 3.75
3.75+62.50= 66.25
Tip:
62.50x0.18= 11.25
Answer:
66.25+11.25= 77.50
Find x no need for explanation I just need answer thanks
Answer:
x = 12 m
Step-by-step explanation:
Length = x m
Width = 3⅔ = 11/3
Area = 44 m²
Area of rectangle = length × width
Plug in the values into the equation
[tex] 44 = x \times \frac{11}{3} [/tex]
[tex] 44 = \frac{11x}{3} [/tex]
Multiply both sides by 3
[tex] 44 \times 3 = \frac{11x}{3} \times 3 [/tex]
[tex] 132 = 11x [/tex]
Divide both sides by 11
[tex] 12 = x [/tex]
x = 12
You buy a watch for $60. a. There is a 6% sales tax. What is your total cost for the watch? b. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price? c. What is your friend's total cost for the watch including tax? Original Price Percent of Discount Sale Price is?
Elizabeth Martz
Answer:
A= 63.6$
B= 51$
C= 54.6
D= ??? (sorry)
Step-by-step explanation:
hope this helps!
The answers to each part is given below.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that you buy a watch for $60.
{a} -Total cost of watch -
{C} = ${60 + (6% of 60)}
{C} = ${60 + (6/100 x 60)}
{C} = $(60 + 3.6}
{C} = $63.6
{b} -New sale price -
{D} = 60 - (15% of 60)
{D} = 60 - (15/100 x 60)
{D} = 60 - 9
{D} = $51
{c} -Total cost of watch including tax -
{CT} = 51 + (6% of 51)
{CT} = 51 + 3.06
{CT} = 54.06
Therefore, the answers to each part is given above.
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A pancake mix requires 5 cups of flour for every 10 pancakes. How much flour is used per pancake?
So you have 5 cups of flour for 10 pancakes so what you want to do is just divide 10 by 5 and you get your answer of 2 :)
Which of the following quotients are negative? Check all that apply.
2.2 ÷ 9.5
–0.5 ÷ 0.021
–1.3 ÷ –54.321
0.4 ÷ –0.4
Answer:
b and d
Step-by-step explanation: i did the assignment
Amber is designing cylindrical containers that are each 2 meters tall. Which graph
shows the relationship between the radius (x) of each cylinder and its volume (/)?
Answer:
Step-by-step explanation:
Answer:
Look at pik...........................................
Please answer this question shown in the picture! Thank you soooo much if you do! ;w;
Answer:
3.07 . 10^8.
Step-by-step explanation:
2.3 . 10^8 + 4.7 . 10^7
= 230,000,000 + 77,000,000
= 307,000,000
= 3.07 . 10^8.
The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?
Answer:
$3900.71 is the amount of money subtracted from the next model
51099.29 is the cost of the second model
Step-by-step explanation:
Can someone help me with this question
Answer:
c is the right one
Step-by-step explanation:
47.9 is what percent of 152?
A)3.2%
B)31.5%
C)0.32%
D)317.3%
Answer: B
Step-by-step explanation:
Step 1: We make the assumption that 152 is 100% since it is our output value.
Step 2: We next represent the value we seek with x
Step 3: From step 1, it follows that 100%=152
Step 4: In the same vein, x%=47.9
Step 5: This gives us a pair of simple equations:
100%=152(1).
x%=47.9(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100%/x% = 152/47.9
x= 31.5
Please help me with these 5 questions
Answer:
4. 85
5. 23.9
The rest are correct
please help me asap
Plz help with the math question
Answer:
the answer is 20
Use the slope-intercept form to graph the equation y=3/7x+3
Answer:
here you go
Step-by-step explanation: