Answer:
Step-by-step explanation:
a) f(4)=7(4)-6=22.
b) This is equal to 4. Since [tex]f^{-1}(x)=y \implies f(y)=x[/tex], we get that since f(4)=22, [tex]f^{-1}(22)=4[/tex].
Jason drew a square with a side length of 8 cm. and Bella drew a rhombus with a side length of 8 cm. Jason says the perimeter of the square is smaller than the perimeter of the rhombus. Bella says they have the same perimeter. Which of them is correct and why? A. Jason is correct because a square is always smaller than a rhombus. B. Bella is correct because the rhombus and square have equal side lengths. C. Jason is correct because a square has fewer sides than a rhombus. D. Bella is correct because a square is half the perimeter of the rhombus. 5 / 18 4 of 18 Answered
Answer:
B
Step-by-step explanation:
to find the perimeter of a square its side*number of sides
which would be 8*4
to find the perimeter of a rhombus its 4*side length
which would be 4*8
therefore, its b they both have the same perimeter
Put the following investment options in order of least to greatest risk:
starting a business
B-rated bond
speculative stock
property
The order of investment options from least to greatest risk is:
B rated bond.Property.Speculative stock. Starting a business. How risky are some investment options?A B rated bond is considered safer than the rest because there is a high chance that the owners of the bond will redeem it. Property is not very risky but can be susceptible to market shocks.
Speculative stock is the third riskiest because its prices are prone to fluctuation. Starting a business is by far the riskiest because a lot of new businesses fail.
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Answer:
B-rated bond
property
starting a business
speculative stock
Step-by-step explanation:
A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If
x machines are made, then the unit cost is given by the function C(x) = 0.5x^2- 150x +20,960. How many machines must be made to minimize the unit cost?
Do not round your answer.
The supply equation of the company is an illustration of a quadratic function
The number of machines that must be made to minimize the unit cost is 150
How to determine the number of units?The equation of the function is given as:
[tex]C(x) = 0.5x^2- 150x +20960[/tex]
Differentiate the function
[tex]C'(x) = x - 150[/tex]
Set to 0
[tex]x - 150 = 0[/tex]
Add 150 to both sides of the equation
[tex]x = 150[/tex]
Hence, the number of machines that must be made to minimize the unit cost is 150
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Write the equation in standard form for the circle with center (0, -3) passing through (15/2 , 1)
Check the picture below, so the green line is really the radius of the circle, and we know its center.
[tex]~~~~~~~~~~~~\textit{distance between 2 points}\\\\(\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})\qquad(\stackrel{x_2}{\frac{15}{2}}~,~\stackrel{y_2}{1})\qquad \qquadd = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}\\\\\\\stackrel{radius}{r}=\sqrt{[\frac{15}{2} - 0]^2 + [1 - (-3)]^2}\implies r=\sqrt{\left( \frac{15}{2} \right)^2 + (1+3)^2}\\\\\\r=\sqrt{\left( \frac{15}{2} \right)^2 +4^2}\implies r=\sqrt{\frac{225}{4} + 16}\implies r=\sqrt{\cfrac{289}{4}}\implies r=\cfrac{17}{2}\\\\[-0.35em]\rule{34em}{0.25pt}[/tex]
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{0}{ h},\stackrel{-3}{ k})\qquad \qquad radius=\stackrel{\frac{17}{2}}{ r} \\\\\\\ [x-0]^2~~ + ~~[y-(-3)]^2~~ = ~~\left( \cfrac{17}{2} \right)^2\implies x^2+(y+3)^2 = \cfrac{289}{4}[/tex]
here is it not sure if you will spot it
i dont understand your question
Answer:
[tex]f(x)=-5x^2+20x[/tex]
8.75 m
Step-by-step explanation:
Given ordered pairs: (0, 0) (1, 16) (2, 20) (3, 15.5) (4, 0)
From inspection, we can see that the difference in the x-values is constant (they increase by 1 each time), yet the difference in the y-values is not constant. Therefore, the relation is not linear.
As the y-values increase from 0 to 20 and then decrease back to 0, the curve is likely to be a parabola opening downwards.
The x-intercepts are at x = 0 and x = 4, so this suggests that the axis of symmetry is x = 2, and so the vertex is (2, 20).
Creating an equation using the x-intercepts:
[tex]f(x)=a(x-0)(x-4)[/tex] where [tex]a[/tex] is some constant
[tex]\implies f(x)=ax(x-4)[/tex]
[tex]\implies f(x)=ax^2-4ax[/tex]
Creating an equation using the vertex form:
[tex]f(x)=a(x-2)^2+20[/tex]
[tex]\implies f(x)=ax^2-4ax+4a+20[/tex]
Equating constants to determine a:
[tex]4a+20=0 \implies a=-5[/tex]
Therefore, equation of best fit: [tex]f(x)=-5x^2+20x[/tex]
When x = 0.5:
[tex]\implies f(0.5)=-5(0.5)^2+20(0.5)[/tex]
[tex]=-1.25+10[/tex]
[tex]=8.75[/tex]
Therefore, an estimate for the height of the rocket 0.5 s after it's launched is 8.75 m
which one is greater 7 pounds or 70 ounces
Answer:
7 pounds is greater
Step-by-step explanation:
1 lb = 16 oz
7 lb = 112 oz
70 oz is 70 oz
Answer:
7 pounds is greater
Step-by-step explanation:
1 lb = 16 oz
7 lb = 112 oz
70 oz is 70 oz
You should be able to figure out the answer
If 24% of the Skittles in the bag are red, what percentage of the Skittles are not red?
Answer:
76%
Step-by-step explanation:
Given:
If 24% of the Skittles in the bag are red, what percentage of the Skittles are not red?
Solve:
Percent - Out of 100
100 - 24 = 76
Hence, 76% of the skittles are not red.
~~Lenvy~~
Answer:
76% are not red
Formula:
(Total Skittle %)-(Red Skittle %)=(Non-Red Skittle %)
Work:
100%-24%=76%
There are caterpillars in two greenhouses. Greenhouse A has 4 times the number of caterpillars Greenhouse B has. A bird came into the two greenhouses and devoured many caterpillars. After the bird ate 41 caterpillars in Greenhouse A and 5 caterpillars in Greenhouse B, both greenhouses have the same number of caterpillars. How many caterpillars did Greenhouse A have in the first place?
there will be your 1000 caterpillars
Answer:
12
Step-by-step explanation:
4a = b and A-41=b-5
a-41+5=b
a-36 =b
which means a+36 =4a
so 3a=36 and a=12
What is the value of x?
13 m
15 m
Answer:
which one?
Step-by-step explanation:
Choose the correct graph of the function y=√x+1.
Answer:
[A}
Step-by-step explanation:
Graph using the end point and a few selected points.
x y
0 1
1 2
2 2.41
Graph also below:
Find y intercept
[tex]\\ \rm\rightarrowtail y=\sqrt{x}+1[/tex]
[tex]\\ \rm\rightarrowtail y=0+1=1[/tex]
y intercept=(0,1)Option A
Please help i really dont like iready and im really confused. thank you!
Answer:
15 inches cubed
Step-by-step explanation:
length 2 1/2 in
width 1 1/2 in
height 4 in
V= = l x w x h
V = 2 1/2 x 1 1/2 x 4
60/4 = 15
The fuel tank of chris new lawn mower holds 1/2 gallon of gasoline chris poured 0.4 gallons into the tank did chris fill the tank explain?
Help help help math math
Answer:
(-16, -4)
Step-by-step explanation:
4x - 13y = -12
x = 2y - 8
Substitute for x:
4(2y - 8) - 13y = -12
8y - 32 - 13y = -12
-5y - 32 = -12
-5y = 20
y = -4
Solve for x:
4x - 13(-4) = -12
4x + 52 = -12
4x = -64
x = -16
Solution to this system: (-16, -4)
I hope this helps!
Answer:
there are two methods
1. graphical method
2. elimination method
3. substitution method
Show how you got the answer, giving brainliest :)
Answer:
Step-by-step explanation:
Volume of a rectangular prism: l*w*hVolume of a triangular prism: 1/2*b*h*lFor the rectangular prism:
L (length) = 5 cmW (width) = 8 cmH (height) = 3 cmV = l*w*h <== substitute the values (from above) for the variables
V = 5*8*3
V = 40*3
V = 120 cm^3 (cubed)
For the triangular prism:
B (base) = 6 cmH (height) = 3 cmL (length) = 2 cmV = 1/2*b*h*l <== substitute the values (from above) for the variables
V = 1/2*6*3*2
V = 3*3*2
V = 9*2
V = 18 cm^3 (cubed)
Hope helps!
Working alone, Mr. Tough can grade the final exams in 12 hours. His assistant, Mrs. Nice, cam grade the same exams in 15 hours. What fraction of the exams can Mr.Tough and Mrs.Nice grade in 1 hour if they work together?
Answer:
9n/60
Step-by-step explanation:
add 1/12 + 1/15 which = 5/60 + 4/60.
= 9/60
YAY!!!!!!!
The fraction of the exams that Mr Tough and Mrs Nice grade in 1 hour if they work together is 3/20
What are fractions?In Maths, a fraction is used to represent the portion/part of the whole thing. A fraction has two parts, namely numerator and denominator. There are proper fractions, improper fractions and mixed fractions.
Example: 2/5, 1/4 etc.
How to solve Work and Time problems:We will this equation,
rate × time = work done
For this problem:
Mr Tough's rate:
Mr Tough's rate × 12 hours = final exam
Mr Tough's rate = 1/12
Mrs.Nice's' rate:
Mrs .Nice's' rate × 15 hours = final exam
Mrs .Nice's' rate = 1/15
To make this into a solvable equation, find the total time (T) needed for Mr Tough and Mrs.Nice to grade the final exam. This time is the sum of the rates of Mr Tough and Mrs.Nicea, or:
Total time:
T(1/12 hours + 1/15 hours) = final exam
T = final exam / (1/12 + 1/15)
Simplifying we get,
T = final exam / (0.15)
Now, to finish in 1 hour we will find what fraction of the final exam they can grade, so taking T = 1 hour,
1 hour = final exam / (0.15)
By further simplifying,
final exam = 1 × 0.15
= 0.15
= 15/ 100
= 3/20
Therefore, 3/20 fraction of the final exam they can grade if they work together for 1 hour.
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Find the length of the diagonal.
Answer:
D. 34 in
Step-by-step explanation:
You are given the formula for the diagonal in terms of the edge lengths of the cuboid. To find the diagonal, use the given numbers in the given formula.
Diagonal = √((24 in)² +(18 in)² +(16 in)²) = √(576 +324 +256) in = √1156 in
Diagonal = 34 in
You randomly choose one of the morales.Without replacing the first marble, you choose a second marble. What is the probability of choosing red and then green?
P(Red and green)=1/4*1/4=1/16
(I really need help)
Mrs. Lennon has 100/275/50 liability insurance and $50,000 PIP (Personal Injury Protection) insurance. During an ice storm, she hits a fence and bounces into a store front with 11 people inside. Some are hurt and sue her. A passenger in Mrs. Lennon’s car is also hurt. A) The store front will cost $24,000 to replace. There was $1,450 worth of damage to the fence. What insurance will cover this, and how much will the company pay? B) The passenger in the car had medical bills totaling $20,000. What type of insurance covers this, and how much will the insurance company pay?
The property damage will convert the insurance regarding the damage and the insurance company will pay $25450.
How to compute the insurance?From the question, the store front will cost $24,000 to replace and there was $1,450 worth of damage to the fence.
The amount paid by the insurance company will be:
= $24000 + $1450
= $25450
When the passenger in the car had medical bills totaling $20,000, the PIP insurance will cover this and the company will pay $20000.
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how do I not know 4th grade math I really am 0iq
Answer:
C) 8 sheets of red and 13 sheets of yellow felt
Step-by-step explanation:
Red felt
Red felt needed for 1 toy = 3/8 sheet
⇒ Red felt needed for 20 toys = 20 × 3/8 sheets
[tex]\sf \implies 20 \times \dfrac38=\dfrac{20}{1}\times \dfrac38=\dfrac{20 \times 3}{1 \times 8}=\dfrac{60}{8}=7\frac12[/tex]
Therefore, 8 complete sheets of red felt are needed.
Yellow felt
Yellow felt needed for 1 toy = 5/8 sheet
⇒ Yellow felt needed for 20 toys = 20 × 5/8 sheets
[tex]\sf \implies 20 \times \dfrac58=\dfrac{20}{1}\times \dfrac58=\dfrac{20 \times 5}{1 \times 8}=\dfrac{100}{8}=12\frac12[/tex]
Therefore, 13 complete sheets of yellow felt are needed.
List and describe the characteristics of a perfectly competitive market.
A market system with perfect competition is one in which there are several buyers and sellers interacting with the same goods.
A perfectly competitive market structure is widely found a market in the Indian economy. This market often accepts prices as a single seller cannot change the market price in the economy. Together with other characteristics, this trait sets this market apart from other types of markets.
Let's discuss the characteristics of the perfectly competitive market in detail which are as follows:
1. Large number of buyers and sellers- A commodity has a high number of buyers and sellers when there is ideal competition. Because there are so many customers, each one only purchases a very little portion of the available supply.
2. Homogeneous Products- Products in this market are homogenous in nature which means the products are identical in nature. This suggests that each company's output, in terms of quantity, quality, colour, size, features, etc., is a perfect substitute for the work of the others. This suggests that consumers don't care about what different companies produce.
3. Free entry and exit of firms- In the economy, there are 2 periods: long run and short run. In the long run, there is completely free entry and exit of firms while in the short run, some factors may contribute to the obstruction of entry and exit of firms. This guarantees that all businesses will ultimately make a regular profit or no economic profit, which evaluates the opportunity cost of the business to either continue operating or close.
4. Perfect Knowledge- In this market structure both the sellers and buyers have perfect knowledge of the market factors like price prevailing in the market because of this feature no seller can charge a higher price in the market to any customer.
5. No transportation cost- The products sold in this market structure are generally sold locally so there incur no transportation cost. Also because the same price is prevailing in the market sellers not require to transport anything.
6. No promotion cost- Homogeneous product is sold and uniform prices prevail so the sellers do not need to incur any selling cost like advterisemt for such a product. So the promotional cost incurred by firms is zero.
7. Price Taker- Firms are generally price takers in this structure of the market as sellers cannot influence the price of the goods so they need to accept the price that is prevailing in the market.
8. Perfect mobility of factors of production- Factors of production like Land, Labour and Capital are perfectly mobile in this market structure. These factors can freely move in and out of industry making demand and supply equal to each other.
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For each value of u, determine whether it is a solution to
- 57 = 5u - 7
2, 3, 10, 0
Answer:2 is a solution 3 is not 0 is not 10 is and also to determine the solution you can get calculator soup to help you Hope this helps bye
7. Frank wants to paint his room in the school colors of maroon and white. The floor and
ceiling will be white, and all the walls will be maroon. The door will also be white. If one
gallon of paint covers 400 sq ft, how many gallons of each color will he need?
A. 1 gallon white, 1 gallon maroon
B. 1gallon white, 2 gallons maroon
C. 2 gallons white, 2 gallons maroon
D. 2 gallons white, 3 gallons maroon
10 ft
3 ft
7 ftlo
12 ft
12 ft
Frank would need two gallons of maroon painting and one gallon of white painting to paint all his room.
How much white painting is required?Area of the ceiling:
12 feet x 12 feet = 144 squared feetAssuming the floor has the same area, the total area for the floor and ceiling is 288 square feet.
Area of the door:
3 feet x 7 feet = 21 feetTotal area in white 144 feet + 21 feet = 165 square feet
Total of gallons
1 gallon equals 400 square feet, which means only one gallon of white painting is required.
How much maroon painting is required?Area of one wall:
12 feet x 10 feet = 120 feet120 feet x 4 walls = 480 square feet480 square feet - 21 feet (door) = 459 square feetConsidering 1 gallon equals 400 square feet, a total of 2 gallons would be required.
Note: This question is incomplete because the image of the room is missing; below I attach the missing section.
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the box plot shoes the lengths of the songs on two digital music players
Hello, it seems your questions didn't upload correctly. Are you able to resend it?
a cyclist travels 108m in 12 seconds.what is her speed in km/h
Step-by-step explanation:
=108÷12
=9m/s
=9x0.001x1/3600
=2.5x10^6km/h
Given the function
[tex]f(x) = (x + 4){(x - 2)}^{2} [/tex]
Determine the end behavior of the graph of the function. Show all/any work
[tex]lim \: f(x) = ( \infty + 4)( \infty - 2) {}^{2} \\ x - > \infty [/tex]
[tex]lim \: f(x) = \infty \times \infty \\ x - > \infty [/tex]
[tex]lim \: f(x)= \infty \\ x - > \infty [/tex]
[tex]lim \: \frac{f(x)}{x} = \frac{x(1 - \frac{4}{x})(x - 2) {}^{2} }{x} \\ x - > \infty [/tex]
[tex]lim \: \frac{f(x)}{x} = (1)( \infty - 2) {}^{2} \\ x - > \infty [/tex]
[tex]lim \: \frac{f(x)}{x} = \infty \\ x - > \infty [/tex]
We can then say that the function f(x)=(x-4)(x-2)² admits an asymptotic direction parallel to the y-axis at +∞ and -∞ as well since we have to follow the same steps.
HELLPPPP REALLLLYYY NEEDDD
THISS ANSWER
Answer:
we need a picture to help
Step-by-step explanation:
Answer:
what is the question man stop messing around
Need help with this geometric question ASAP, Thank you
A kite with diagonals is shown. It has side lengths of 13, 13, 37, and 37. The length from the left point to the middle point is 12, and the distance from the right point to the middle point is 12.
The figure is a kite. What is the length of the kite’s longer diagonal?
5 units
35 units
40 units
48 units
Step-by-step explanation:
we have to solve 2 right-angled triangles via Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle).
one triangle is 37, 12 and the longer part of the long diagonal.
the second triangle is 13, 12 and the shorter part of the long diagonal.
the whole diagonal is then the sum of both parts.
37² = 12² + longer part²
1369 = 144 + longer part²
longer part² = 1225
longer part = 35
13² = 12² + short part²
169 = 144 + short part²
25 = short part²
short part = 5
so, the total diagonal is 35 + 5 = 40 units.
The length of the longer diagonal obtained using Pythagorean theorem is 40 units
What is the Pythagorean theorem?The Pythagorean theorem is a fundamental geometric relationship that states that the square of the hypotenuse side of a right triangle is equivalent to the sum of the squares of the other two sides (the legs). Mathematically, we get
c² = a² + b²
Where a and b are the lengths of the legs and c is the length of the hypotenuse side of the right triangle.
The diagonals of a kite are perpendicular to each other
The diagonal that is bisected in a kite is the shorter diagonal
The lengths from the left point to the middle and the distance from the right point to the middle are both 12, which indicates that the diagonal from left to right of the kite is bisected, which is the shorter diagonal. Therefore;
The length of the shorter diagonal is; 12 + 12 = 24
Therefore, the longer diagonal forms two right triangles to the left and two right triangles to the right
The hypotenuse length of the right triangles are 37 and 13, while the leg common to both right triangles on each side is half the length of the shorter diagonal, or 12
The Pythagorean theorem indicates that we get;
Length of the longer diagonal = √(13² - 12²) + √(37² - 12²) = 40
The length of the longer diagonal is 40 units
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Towns Kand L are shown on a map.
N
a) Work out the actual distance
between towns Kand L.
b) A third town, M, is 150 km due
South of town K.
Mark M on the map with X.
c) Measure the bearing of town L
from town K.
Scale: 1 cm represents 50 km
Select the correct answer from each drop-down menu.
On the day the link was emailed, trailer
Two days after the link was emailed, trailer
Four days after the link was emailed, trailer
had the most views.
had the most views.
had the most views.
Answer:
k
[tex]2xyy15 { { \div - \\ \sqrt[ {x. - - {?}^{?} }^{2} ]{?} }^{2} }^{2} [/tex]
Answer:
On the day the link was emailed, trailer
A
had the most views.
Two days after the link was emailed, trailer
A
had the most views.
Four days after the link was emailed, trailer
B
had the most views.
Step-by-step explanation:
The total number of views on the day the email was sent, two days later, and four days later are represented by the values of the functions when x = 0, 2, and 4.
Substitute these values into the equation:
Find these values in the table:
Apply the described rule:
So, on the day the link was emailed, trailer A had the most views.
Two days after the link was emailed, trailer A had the most views.
Four days after the link was emailed, trailer B had the most views.