Answer:
7-5+3+4=9
7-5=2+3=5+4=9
A kitchen table is being sold at a furniture store. These are the cost and revenue functions associated with the tables, where x
represents the selling price of a single table:
R(X) = -0.68x2 + 310x
C(x) = 43.6x + 36,176
Which two points represent breakeven for table sales?
(0, 36,176)
(140, 30,072)
(227, 35,330)
(260, 9,792)
(380, 19,608)
Answer:
(140, 30,072) and (380, 19608).
Step-by-step explanation:
We are given that the revenue function for selling the kitchen table given its price is:
[tex]R(x)=-0.68x^2+310x[/tex]
And the cost function is:
[tex]C(x)=-43.6x+36176[/tex]
At the breakeven point, the revenue equals the cost. Therefore:
[tex]R(x)=C(x)[/tex]
Substitute:
[tex]-0.68x^2+310x=-43.6x+36176[/tex]
We can solve for x.
Adding 0.68x² to both sides and subtracting 310x from both sides yields:
[tex]0.68x^2-353.6x+36176=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 0.68, b = -353.6, and c = 36176. Substitute:
[tex]\displaystyle x=\frac{-(-353.6)\pm\sqrt{(-353.6)^2-4(0.68)(36176)}}{2(0.68)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{353.6\pm\sqrt{26684.24}}{1.36}[/tex]
So, our two solutions are:
[tex]\displaystyle x=\frac{353.6+\sqrt{26684.24}}{1.36}\text{ or } x=\frac{353.6-\sqrt{26684.24}}{1.36}[/tex]
Use a calculator:
[tex]x\approx 380\text{ or } x\approx 140[/tex]
Our answers are:
(140, 30,072) and (380, 19608).
Answer:
(140, 30,072) and (380, 19608)
Step-by-step explanation:
i got it right
3) (Infer) What would happen if two kinds of animals living in the same habitat had the same niche?
4) Why might an animal need to move to a different habitat?
I report people who add links in there answer or use safari
Have a good day! :)
Lisa is building a structure to be used in the school play. The structure is in the shape of a right triangular prism.A sketch is shown.Lisa will paint outside of the entire structure after building it.What is the area Lisa will paint.Be sure to include the units label.
Answer:
36.6
Step-by-step explanation:
The amount of area Lisa will paint is 288 square inches.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
here, we have,
to determine the area Lisa will paint:
From the question, we have the following parameters that can be used in our computation:
Triangular prisms (1) to (6)
The area Lisa will paint is the literal surface of the shape
Using the above as a guide, we have the following:
Literal Area = (a + b + c) * h
Where
a, b and c = 6, 8 and 10
h = 12
Substitute the known values in the above equation, so, we have the following representation
Literal Area = (6 + 8 + 10) * 12
Evaluate
Literal Area = 288
The above is the literal surface area of the prism
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Write the number in 2 equivalent forms as a fraction, decimal, or percent.
Answer:
The numbers 6, 9 , and 42
Step-by-step explanation:
Fraction
6/10
9/100
42/100
Decimal
0.6
0.09
0.42
Percent
60%
9%
42%
Consider the following expression.
3y + 5x + 2
Select all of the true statements below :
2 is a constant.
3y and 2 are like terms.
3y + 5x + 2 is written as a sum
of three terms.
3y is a coefficient.
3y is a factor.
None of these are true.
Answer:
2 is a constant
3y + 5x + 2 is written as a sum of three terms
Simplify the Expression and EXPLAIN what you did and WHY.
-3(4m+3)+2m
Answer:
-10m-9
Step-by-step explanation:
open the bracket by multiplication
-3 × 4m= -12m
-3 × 3= - 9
-12m - 9 +2m
arrange like terms together
-12m +2m -9
-10m -9
Find the area of each figure. Use 3.14 for phone
Area of triangle: 3m
Area of rectangle: 24m
Area of semi-circle: 6.28m
Answer:
33.28 m²
Step-by-step explanation:
The figure consists of three shapes:
1) A semicircle of radius 2 m.
2) A rectangle 4 m by 6 m.
3) A triangle with base 3 m and height 2 m.
area = ½πr² + LW + ½bh
area = 3.14 * (2 m)^2/2 + (6 m)(4 m) + (3 m)(2 m)/2
area = 6.28 m² + 24 m² + 3 m²
area = 33.28 m²
The number of books (b) in a preschool classroom is proportional to the number of children (c) enrolled.
If the preschool has three books in a classroom for each child enrolled, which equation represents the total number of books in the classroom?
A. b=3c
B. b=3+c
C. b= 1 over 3c
D. b=3-c
please help me to find this out i really really need help.
The diagram shows a triangular prism ABCDEF with a horizontal base ABEF.
Give your answer correct to 3 significant figures.
Answer:
38.7°
Step-by-step explanation:
Let the angle we're looking for be called x.
Consider ΔADF (which consists of sides AD, FD and FA, and which contains the angle x.
tan(angle)=opposite/adjacent
tan(x)=FD/FA
x=tan⁻¹(12/15)=38.6598082541°≈38.7°
Therefore, the length of the angle be [tex]x=38.65[/tex] degree.
What is the trigonometry?
Trigonometry states that the trigo mean 'triangle', and metry means métron is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Here given that,
Let the length of the angle be [tex]x[/tex].
Consider Δ[tex]ADF[/tex]
which consists of sides [tex]AD, FD[/tex] and [tex]FA[/tex], and which contains the angle [tex]x[/tex].
So,
tan(x)=Perpendicular / Base
i.e.,
[tex]tan(x)=\frac{FD}{FA}\\\\tan(x)=\frac{FD}{FA}\\\\x=tan^{-1}(\frac{12}{15})\\\\x=38.65[/tex]
Hence, the length of the angle be [tex]x=38.65[/tex] degree.
To know more about the trigonometry
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Brand A and brand B of frozen green beans both list a weight of 32 ounces on their bags. Because of variability in the manufacturing process, the bags often contain slightly more, or less, than 32 ounces of green beans. An inspector takes a random sample of 25 bags of green beans of each type and records their weights. The weights and their relative frequencies are summarized in the histograms. 2 histograms comparing brand A and brand B of green beans. The median weight for brand B is less than the median weight of brand A. Which of the following is a true statement when comparing the bags of green beans? The median weight for both types is between 32.1 and 32.2 ounces. The median weight for both types is between 32.0 and 32.1 ounces. The median weight for brand B is less than the median weight of brand A. The median weight for brand B is greater than the median weight of brand A.
Answer:
The answer is: B.)32.0–32.1 ounces
Step-by-step explanation:
Got it right on my test
The true statement is The median weight for both types is between 32.0 and 32.1 ounces.
What is data?Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study.
Given:
Brand A and brand B of frozen green beans both list a weight of 32 ounces on their bags.
The median weight for brand B is less than the median weight of brand A.
So, if both brands weigh 32 ounces then the median weight for both types is between 32.0 and 32.1 ounces.
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find the missing side using the pythagorean theorem
Answer:
26.55
Step-by-step explanation:
[tex]a^2 + b^2 = c^2\\b^2 = c^2 - a^2[/tex]
use the b^2 equation
------------------------
b^2 = 31 squared - 16 squared.
b^2 = 705
b=[tex]\sqrt{705}[/tex]
b=26.5518361
Which of these statements is true about heat? A. Heat always flows from cooler to warmer substances. B. Heat doesn’t flow between substances. C. Heat always flows from warmer to cooler substances. D. Heat flows when both substances have the same temperature.
Answer:
C. Heat always flow from warmer to cooler substances.
A welcome mat in front of the hardware store is a half-circle. The straight side of the mat is 24 inches. What is the perimeter of the mat? Round to the nearest inch.
No links.
Answer:
To find the perimeter, we want to find the circumference of the whole circle, divide by 2, and add the 24 inches to get the total perimeter.
A semicircle is half a circle. If the straight edge of the semi circle is 24 inches, that makes the diameter of the full circle 24 inches as well.
To find the circumference of the full circle, we need the formula:
C = 2πr
Circumference = 2 x pi x radius
Radius is half of the diameter, so 12 inches.
C = 2 x pi x 12
C = 75.36 inches
75.36 is the circumference of a circle with a diameter of 24 inches. Divide this by two to get 37.68 inches, which is the length of the round part of the mat. Adding 24 inches for the straight side gives you the final answer, 61.68 inches, or ABOUT 62 inches.
What is the value of y in the triangle ?
Answer:
c
Step-by-step explanation:
hope it helps
A cylinder soup has a radius of 1,6 in and is 5/7 in. tall what is the volume
Answer:
[tex]V=0.0623\ inch^3[/tex]
Step-by-step explanation:
Given that,
The radius of cylinder, r = 1/6 inch
The height of the cylinder, h = 5/7 inch
We need to find the volume of the cylinder. The formula for the volume of a cylinder is given by :
[tex]V=\pi r^2 h\\\\=3.14\times (\dfrac{1}{6})^2\times \dfrac{5}{7}\\\\V=0.0623\ inch^3[/tex]
So, the volume of the cylinder is equal to [tex]0.0623\ inch^3[/tex].
Find the surface of the triangular prism
17m 17m 15m 16m 10m
Divide £104 in the ratio 3:5
Answer:
39:65
Step-by-step explanation:
104/(3+5) = 104/8 = 13 13(3):13(5) = 39:65
Pls answer fast pls pls pls pls
Answer:
13.93
Step-by-step explanation:
use the Pythagorean theorem
Please help this is due today.
Answer:
[tex]b = 90[/tex]
[tex]c=80[/tex]
[tex]d =100[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find b, c and d
First, we solve for b using:
[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram
Collect like terms
[tex]b + b =180+10-10[/tex]
[tex]2b = 180[/tex]
Solve for b
[tex]b = 180/2[/tex]
[tex]b = 90[/tex]
Then, we have:
[tex]d =b + 10[/tex]
[tex]c = b - 10[/tex] --- opposite angles
So, we have:
[tex]d =90 + 10[/tex]
[tex]d =100[/tex]
[tex]c = 90 - 10[/tex]
[tex]c=80[/tex]
what is the answer
Move the correct number to the first box to show the answer. Then, move numbers to the other boxes to explain the answer.
Answer:
[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]
Because:
[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{4} * 3 = [\ ][/tex]
Because
[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]
Required
Fill in the box
[tex]\frac{1}{4} * 3 = [\ ][/tex]
This can be written as:
[tex]\frac{1}{4} * 3 = \frac{1* 3 }{4}[/tex]
Solve the numerator
[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]
(b) Because
[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]
The above implies that
[tex]\frac{1}{4}[/tex] be added in 3 places
i.e.
[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]
A gas measuring 525 mL is collected at 104.66 kPa. What volume does this gas
occupy if the pressure is increased by 25 kPa?
Recall the ideal gas law:
P V = n R T
where
P = pressure
V = volume
n = number of gas molecules
R = ideal gas constant
T = temperature
If both n and T are fixed, then n R T is a constant quantity, so for two pressure-volume pairs (P₁, V₁) and (P₂, V₂), you have
P₁ V₁ = P₂ V₂
(since both are equal to n R T )
Solve for V₂ :
V₂ = P₁ V₁ / P₂ = (104.66 kPa) (525 mL) / (25 kPa) = 2197.86 mL
Pls help ASAP PLSSSS!!!
Answer:
D
Step-by-step explanation:
225 is the closest to point (200, 200)
Answer:
c
Step-by-step explanation:
trust
[tex]\frac{x-2}{x^2+4x-12}[/tex]
Answer:
1/(x+6)
Step-by-step explanation:
I'm assuming you want me to factorize
x^2+4x-12 would factorize into (x-2) and (x+6)
Therefore, the numerator (x-2) would cancel with the part of the numerator (x-2) leaving 1/(x+6)
A car wash attendant counted the number of cars washed and the total amount of money earned. The company charged the same price for each car washed and earned $165 for 15 cars, $231 for 21 cars, and $275 for 25 cars. Write an equation for the relationship between the number of cars washed, n, and the number of dollars earned, m.
5/9 times 8 GUYS PLS HELP ME
Answer: 4.44
HOPE THIS HELPS
Find the area of each figure. Use 3.14 for pi
The veterinarian’s practice had dog and cats clients. The number of dog clients was 5/6 of the number of cat clients. If the total number of clients was 924, how many dog clients and how many cat clients did the veterinarian have?
Answer:
Dog Clients = 770
Cat Clients = 154
Step-by-step explanation:
1) We are given 5/6 and the number 924. To find the total dog clients, we need to multiply 5/6 by 924 = 770.
2) To find the cat clients, we subtract the dog clients (770) from the total amount of clients, which gives us 154
7 and - 1 1/2 on the number line?
Answer:
7 will lie on 0 and 1 and 1/2
Which is more likely: rolling a total of 8 when two dice are rolled or rolling a total of 8 when 3 dice are rolled? Discuss your solution by explaining it.
Answer:
Rolling a sum of 8 from two dice is more likely
Step-by-step explanation:
To obtain which is more likely, we could obtain the individual probabilities of both events.
TWO DICE :
Sample space for 2 die rolls = total possible outcomes = 6² = 36
Number of favorable outcomes = sum of 8 from 2 rolls = 5
Probability = number of favorable outcomes / total possible outcomes
P(sum of 8) = 5 / 36 = 0.1388
THREE DICE :
Total possible outcomes = 6³ = 216
Number of favorable outcomes = 21
P(sum of 8) = 21 / 216 = 0.097222
0.1388 > 0.097222
Need help finding the answer
9514 1404 393
Answer:
x = 5
FD = 22
Step-by-step explanation:
The products of the segment lengths on the same chord are the same.
8×15 = 12×(3x -5)
10 = 3x -5 . . . . . . . divide by 12 (we use this value to find FD)
15 = 3x
5 = x
__
FD = (3x -5) +12 = 10 +12
FD = 22