Answer:
the theorem states that the length of the hypotenuse when squared is equal to the addition of the adjacent and opposite when squared
Solve the equation
2x + 5 -12
I need help solving this equation.
Answer:
B) [tex]f^{-1}(x)=x+2[/tex]
Step-by-step explanation:
[tex]y=x-2[/tex]
replace [tex]y[/tex] with [tex]x[/tex]: [tex]x=y-2[/tex]
Make [tex]y[/tex] the subject: [tex]y=x+2[/tex]
Therefore, [tex]f^{-1}(x)=x+2[/tex]
Let
sin A = 0.36
tan A = 0.8
cos A = 0.35
Answer:
Do you need help
Step-by-step explanation:
A community theater sells about 150 tickets to a play each week when it charges $20 per ticket.
For each $2 decrease on price about 25 more tickets per week are sold. Write a quadratic function to
find how the theater can maximize weekly revenue. What should the theater charge to maximize
revenue? What is the maximum weekly revenue? (6 pts) (Show all work.)
What is the equation:
What should the theater charge?
What is the maximum revenue?
Answer:
r = 12.5p(32 -p)$16 per ticket$3200 maximum revenueStep-by-step explanation:
The number of tickets sold (q) at some price p is apparently ...
q = 150 + 25(20 -p)/2 = 150 +250 -12.5p
q = 12.5(32 -p)
The revenue is the product of the price and the number of tickets sold:
r = pq
r = 12.5p(32 -p) . . . . revenue equation
__
The maximum of revenue will be on the line of symmetry of this quadratic function, which is halfway between the zeros at p=0 and p=32. Revenue will be maximized when ...
p = (0 +32)/2 = 16
The theater should charge $16 per ticket.
__
Maximum revenue will be found by using the above revenue function with p=16.
r = 12.5(16)(32 -16) = $3200 . . . . maximum revenue
_____
Additional comment
The number of tickets sold at $16 will be ...
q = 12.5(32 -16) = 200
It might also be noted that if there are variable costs involved, maximum revenue may not correspond to maximum profit.
NEED HELP ASAP!
Jennifer works in a music store and earns 15.4% commission on each sale. If Jennifer sells a piano and earns $48.00, what is the price of the piano? Round your answer to the nearest cent.
Answer:
The price of the piano is $311.69
A pilot at an altitude of 2,000 feet and has a horizontal distance of 8,020 feet from the runway. At what angle of depression should he set the plane to touch down at the exact end of the runway?
Answer:
14°
Step-by-step explanation:
the angle of depression = α
tanα = 2000/8020 = 0.2494
α = 14°
the dimensjlns of regulation tennis courts are 27 feety by 78 feet.
Answer:
26 in. x 9 in.
Step-by-step explanation:
27 / 9 =
3
78 / 3 =
26
9 inches by 26 inches
PLEASE HELP I HAVE TO SUBMIT IT TODAY
Answer: 17,160 feet
Step-by-step explanation:
Because I mile = 5280 feet, 3 and 1/4 miles = 3.25 x 5280 = 17160 feet
how would i set up this number line?? it’s on kahn academy btw it’s two-step inequality word problems
Answer: The greater than or equal to sign means that you need a closed circle. Put a closed circle on 358. Make the arrow to the right of 358 because w is greater than 358
Step-by-step explanation:
50w + 100 ≥ 18000
-100 on both sides
50w ≥ 17,900
Divide both sides by 50
w ≥ 358
The greater than or equal to sign means that you need a closed circle. Put a closed circle on 358. Make the arrow to the right of 358 because w is greater than 358
felipe deposits $500 into a bank account that pays simple interest at a rate of 2% per year how much interest will be be paid in the first 4 years
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &4 \end{cases} \\\\\\ I=(500)(0.02)(4)\implies I=40[/tex]
Please i need help
- 8s - 4 > 3s + 3.
Answer:
-8s-4>3s+3
-8s-(-3s)>3+4
-8s+3s>3+4
-5s/-5>7/-5
s>-7/5
A cook has 5 and 5/8 cups of flour he uses 2/3 on Saturday morning how much flour does he use in saturday morning
Answer:
2/3
this question doesn't make sense
X - 4y = -4
5x - 4y = 12
Answer:
Nothing further can be done with this topic. Please check the expression entered or try another topic.
x−4y=−45x−4y=12x-4y=-45x-4y=12
solve for w. 5 + 2w = 17
Answer:
w=6
Step-by-step explanation:
5 + 2w = 17
Subtract 5 from each side
5-5 + 2w = 17-5
2w = 12
Divide each side by 2
2w/2 = 12/2
w = 6
Solution:
Note that:
Given equation: 5 + 2w = 17To solve this problem, isolate the variable by subtracting 5 to both sides of the equation.
=> 5 + 2w = 17=> 5 - 5 + 2w = 17 - 5=> 2w = 12Then, divide 2 both sides to further isolate the variable.
=> 2w = 12=> 2w/2 = 12/2=> w = 6The solution to the equation is 6.
helpp pleass love you if you answer meeee
Answer:
C. No solution.
Step-by-step explanation:
Due to the y-intercepts (When the equation is in slope-intercept form: 1.5, and 3.5) we can identify that the equations are parallel from each other.
The slopes are the same, but the y-intercepts are different, the equations will be 2 (y) apart since each will intersect at different values. This means that both equations can't intersect with each other, making it impossible to find a solution.
I need help with this question.
Answer:
The rate of change is 1 for both functions A and B
Step-by-step explanation:
Hope this helps!
Pls give brainliest :)
You have to give more than 5 gifts to friends this Christmas. You decide to give everyone scented candles. The candles in plain jars cost $3.79 each, and the ones in decorated jars cost $8.99 each. If you have at most $50 to spend, what is a possible solution to the problem? Let the number of candles in plain jars and the number of candles in decorated jars - y
2 candles in plain jars and 2 candles in decorated jars
6 candles in plain jars and 4 candles in decorated jars
8 candles in plain jars and 2 candles in decorated jars
14 candles in plain jars and 2 candles in decorated jars=y
Answer:
8 candles in plain jars and 2 candles in decorated jars
Step-by-step explanation:
Answer: 8 candles in plain jars and 2 candles in decorated jars
Step-by-step explanation:
Has to buy MORE than 5 and spend LESS than $50.00
8(3.79) = 30.32
2(8.99) = 17.98
30.32 + 17.98 =48.30
therefore she can buy 10 candles at $48.30
8 candles in plain jars and 2 candles in decorated jars
what is the remainder when you divide 2x^3+4x^2 - x +3 by x+2
Answer: The required remainder is 5.
Step-by-step explanation: We are given to find the remainder when we divide the following cubic polynomial by (x+2 :
3 f(x)=2x^ 3 +4x^ 2 - 6^ 2 -x+
(i)
We have the following theorem:
Remainder theorem: If a polynomial p(x) is divided by the factor (x-a), then the remainder is p(a).
So, for the given linear factor, we have
x + 2 = 0
Rightarrow x=-2
Substituting x = - 2 in equation (i), we get
f(- 2)
=2(-2)^ 3 +4(-2)^ 2 -(-2)+3
=-16+16+2+3
=5 .
Thus, the required remainder is 5.
100 points!!!
“The revenue equation for a certain brand of toothpaste is y=2.6x, where X is the number of toothpaste sold and y is the income for selling X tubes. Cost equation is y=X+2000, where X is the number of tubes of toothpaste manufactured and y is the cost of producing X tubes. The following set of axis shows the graph of the cost and revenue equations. For what X-values will the company make a profit”
The company will make a profit for X-values: (greater than, less than, or equal to) ____?
Answer:
The revenue equation is y=2.6x,
cost equation is y=x+2000
When the company makes profit only when revenue > cost
Lets frame inequality using revenue > cost
Replace the revenue equation and cost equation
Now solve the inequality for x
Subtract 1x from both sides
Divide both sides by 1.6
The company makes profit when x is greater than 1250
Step-by-step explanation:
Answer:
Greater than 1250
x > 1250
Step-by-step explanation:
Base on the revenue equation and cost equation , we can infer that the company make a profit when x > 1250
Important Given Information:
The revenue equation is [tex]y=2.6x[/tex]
Cost equation is [tex]y = x+2000[/tex]
When the company makes profit only when: [tex]revenue > cost[/tex]
Let's frame inequality using: [tex]revenue > cost[/tex]
Replace the revenue equation and cost equation
[tex]Revenue > Cost: 2.6x > + 2000[/tex]
Now Let's solve the inequality for x
[tex]2.6x > 1x + 2000[/tex]
[tex]2.6x - 1x > 2000[/tex] [tex][2.6x-1x=1.6x][/tex]
[tex]1.6x > 2000[/tex]
Divide both sides by 1.6 ( what you do on one side do to the other)
[tex]\frac{1.6x}{1.6}=\frac{2000}{1.6}[/tex]
[tex]x >1250[/tex]
Hence, the company makes profit when x is greater than 1250
[RevyBreeze]
i need help pls i need to put my grades up before the end of the semester 20 pionts for who ever answers have a hood night from kentucky
Answer:
Step-by-step explanation:
a + 2 + a+2 + a + 2 = 24 Combine the left
3a + 6 = 24 Subtract 6 from both sides.
3a = 24 - 6 Combine
3a = 18 Divide both sides by 3
3a/3 = 18/3
a = 6
Answer:
1.
3a + 6 OR 3(a + 2)
2.
a = 6
Step-by-step explanation:
1.
(a + 2) + (a + 2) + (a + 2) = a + a + a + 2 + 2 + 2
= 3a + 6 or 3(a + 2)
2.
24 = 3a + 6
24 - 6 = 3a
18 = 3a
18/3 = 6
a = 6
sorry if I didn't show my working well enough
2. The result of multiplying a number by another number is called the
a. Quotient
b. Product
c. Sum
d. Difference
The answer is the product
7 copies of the sun of 8 fifths and 4
Answer:
39.2
Step-by-step explanation:
We need to find the solution of 7 copies of sum of 8 fifths and 4.
Now, 8 fifths =
Then, sum of 8 fifths and 4 = =
Now, 7 copies of means that we meed to multiply 7 times
i.e. 7 copies =
i.e. 7 copies =
i.e. 7 copies = 39.2
Hence, 7 copies of sum of 8 fifths and 4 is 39.2
MATH
Devon is making table runners for his niece's wedding. The short tables are 6 feet
(ft) long, and the long tables are 10 ft long. Each runner will overhang its table by 8
inches (in.) on each end. Devon was told there will be 12 small tables and twice that
number of long tables. How many total yards (yd) of fabric will he need to make the
table runners, assuming no waste? (Note: 12 in. = 1 ft and 3 ft = 1 yd.)
The sum of the lengths of the tables and the total length of overhang
give the length of fabric that Devon needs.
Response:
The total yards of fabric needed to make the table runners is 12 yd.How can the given dimensions be added to obtain the length of fabric needed?The given parameters are;
Length of the small tables = 6 feet
Length of the long tables = 10 feet
Length of overhang on each end = 8 inches
Number of small tables = 12
Number of long tables = 2 × 12 = 24
Required:
The yards of fabric needed to make the table runners.
Solution;
The total number of tables = 12 + 24 = 36
Length of overhang for each table = 8 inches + 8 inches = 16 inches
Sum of the length of the overhang = 36 × 16 inches = 576 inches
From the given unit conversion factors, we have;
Sum of the length of overhang = 576 inches ÷ 12 inch/feet = 48 feet
Length of the tables = 12 × 6 feet + 24 × 10 feet = 312 feet
Total length of table runner = 312 feet + 48 feet = 360 feet
Length of table runner needed = 360 feet ÷ 3 feet/yd = 120 yd.
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Find the slope of the line passing through the points (-4,
4) and (2, 5).
Answer:
1/6
Step-by-step explanation:
The equation for finding the slope of two points is (y2-y1)/(x2-x1) and if you plug those number into the equation you get 1/6 (simplest form)
City Park is a right triangle with a base of 40 yd
and a height of 25 yd. On a map, the park has a
base of 40 in. and a height of 25 in. What is the
ratio of the area of the triangle on the map to
the area of City Park?
Answer:
Let's Convert yards into inches
Base = 40 yards = 1440 inches
Height = 25 yards = 900 inches
Base (Map)/Base (Actual)
40/1440 = 1 : 36
Height (Map)/Height (Actual)
25/900 = 1 : 36
I hope it helps you!
Step-by-step explanation:
Let's expand our knowledge even more by explaining.
The scale of the height and the width is 1 inch equals 1 yard.
the scale of the area would be 1 square inch equals 1 square yard.
for example:
the area of a triangle is equal to 1/2 * base * height.
the base on the map is 40 inches and the height on the map is 25 inches.
the area on the map is therefore 1/2 * 40 * 25 = 500 square inches.
the base in the real world is 40 yards and the height in the real world is 25 yards.
the area in the real world is therefore equal to 1/2 * 40 * 25 = 500 square yards.
the ratio of the area on the map to the area in the real world is 500 square inches / 500 square yards equals 1 square inch / 1 square yard.
that's 1 square inch to 1 square yard.
in general, if the scale in the linear measurements were a/b, then the scale in area would be (a/b)^2.
since your scale in linear measurements is 1/1, then the scale in area would be (1/1)^2 which is equal to 1/1.
assuming the scale in linear measurements were 1/2, then the scale in area would be (1/2)^2 = 1^2/2^2 = 1/4.
Identification of materials
It is used to analyze and verify materials for quality assurance.PMI is used to prevent potential product failure in manfunctioning.
Radhika’s mother gave her some money to buy Papaya from the market at
the rate of p(x) = x² – 12x – 220 per kg.
(i) Find the factors of the given polynomial.
(ii) if she purchase 5kg papaya, what money she have to pay?
Answer:
p ( x ) = ( x- 6 ) ² - 256
Step-by-step explanation:
1- Add the same value to both sides
2- Add 36 to the expression
3- Add 36 to the left-hand side
4- Factor the expression
5- Move the constant to the right
6- Calculate
The factors of the given polynomial is (x-10) (x+22) and the price of 5 kg papaya is 5x²-60x-1100.
What is Polynomial?An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
Given:
p(x) = x² – 12x – 220
i) These two terms are 22x and -11x.
p(x) = x²-12x-220
p(x) = x²+22x-10x-220
Taking x common from the first two terms and -10 from the last two terms,
x(x+22)-10(x+22)
(x-10) (x+22)
ii) We are given that the rate of papaya per kg is p(x) = x²-12x-220.
1 kg = x²-12x-220
5 kg = 5(x²-12x-220)
5 kg = 5x²-60x-1100
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Help asap
Arian wants to save 20% of his paycheck is an a savings account .
A. Write an equation to represent the amount Arian should save , s, from a paycheck in the amount of p dollars .
B. Create a table of value with five different paycheck amounts.
Paycheck amount (p)
saving amount (s)
C. Plot the values in the coordinate plane to show the relationship between the amount Arian saves and the amount Arian earns.
D. Explain how you could use your graph to find how much of a $60 paycheck Arian should put into his savings account.
The equation that represents the amount that Arian should save is S = P x 20 / 100, and she should save $12 in case of earning a $60 paycheck.
EquationsGiven that Arian wants to save 20% of his paycheck is an a savings account, to determine A) an equation to represent the amount Arian should save, S, from a paycheck in the amount of P dollars; B) create a table of value with five different paycheck amounts; and D) find how much of a $60 paycheck Arian should put into his savings account; the following calculations must be made:
A) S = P x 20 / 100B) S = 500 x 20 / 100 = 100S = 1000 x 20 / 100 = 200S = 100 x 20 / 100 = 20S = 50 x 20 / 100 = 10S = 250 x 20 / 100 = 50D) S = 60 x 20 / 100 = 1200 / 100 = 12Therefore, the equation that represents the amount that Arian should save is S = P x 20 / 100, and she should save $12 in case of earning a $60 paycheck.
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Brainliest if correct
Answer:
x=29
Step-by-step explanation:
Just as simple as substitution:
We will substitute in 16 for y
So the equation will look like 16=x-13
Isolate x:
Add 13 to both sides isolate the variable
-13+13=0
16+13=29
The new equation:
29=x
29-13 is 16.
A cylindrical pillers has a diameter of 56 cm and is of 35 m high there are 16 pillers around the building find the cost of painting the curved surface area of all the pillars at the rate of 5.50 per 1m square
Answer:
Answer:
Total cuŕved surface area of the pillars = 985.6m²Total cost of painting = Rs.5420.8
Explanation:
Given,
A cylindrical pillar with dimènsions,
r(radius) = 56/2 = 28cm. [ Since d = r/2]h(height) = 35m
There are 16 such pillars. Find the cost of paiñting the the curved surface area of all pillars 5.50/m²
Conversion of the dimensioñs in same units.
Radius = 28cm
= 28 ÷ 100 [Since 1m = 100]
= 0.28m
Cuŕved surface area of the pillar is given by,
→ 2πrh
Where,
Taking ‘π’ as 22/7
→ 2*(22/7)*(0.28)*(35)