Answer:
D.the distance you drive
Step-by-step explanation:
The range of the function is the values of the output
h is the input
60h is the output
60 = miles driven = distance
Answer:
the answer would be D. the distance you drive
Step-by-step explanation:
because i took the quiz and put this answer and got it right
Calculate the average rate of change for the given graph from x = -2 to x=0 and select the correct answer bellow
Answer:
3
Step-by-step explanation:
The rate of change between two points a and b(a<b) for a fynction f is given by the formula:
r = [tex]\frac{f(b)-f(a)}{b-a}[/tex]so our rate of change is
r = [tex]\frac{6-0}{0-(-2)}[/tex] r = [tex]\frac{6}{2}[/tex] r=3The table below lists some of the characteristics of the houses on Katrina’s street. Characteristics of Homes For Sale on Katrina’s Street Bedrooms Acres of land Sale price Appraised value Property tax 2 0.17 $230,000 $200,000 $1,220 2 0.20 $210,000 $220,000 $1,232 3 0.20 $275,000 $250,000 $1,400 4 0.24 $275,000 $275,000 $1,540 4 0.52 $360,000 $310,000 $1,736 4 0.75 $350,000 $320,000 $1,792 5 1.23 $375,000 $350,000 $1,960 Which relationship describes a function?
HERE YOU GO!!!!!!!!!!
Answer:
D
Step-by-step im not Shure but I think its D
Starting at sea level, a submarine descended at a constant rate to a depth of −5/6 mile relative to sea level in 4 minutes. What was the submarine's depth relative to sea level after the first minute? Answer with a fraction :3
Answer:
-5/24 miles
Step-by-step explanation:
The submarine descends at a rate of -5/6 miles every 4 minutes.
To find the depth of the submarine relative to sea level after the first minute, we have to multiply the rate of descent by he time spent (1 minute). That is:
[tex]\frac{\frac{-5}{6} }{4} * 1[/tex]
=> D = -5 / (6 * 4) = -5/24 miles
Therefore, the submarine's depth is -5/24 miles.
Answer:
-1 1/5
Step-by-step explanation:
I took the test and this was the correct answer :D
Please help I’m being timed!!! A country commits to decreasing spending for infrastructure in various ways at a rate of 30% per year. At the time of the announcement, the country is spending $12 billion per year. Which graph models the amount of infrastructure spending for future years?
Answer:
It would be the graph that has point (0,12) and is decreasing to the right.
help with pre algebra
Answer:
The y-axis.
Step-by-step explanation:
This is because it is mirroring across the y-axis, and the x-coordinate's sign is getting changed from positive to negative.
Answer:
Y-axis
Step-by-step explanation:
B is a reflection of point A across theY-axis. The vertical line is Y and the horizontal line is X.
In an experiment, three people toss a fair coin one at a time until one of them tosses a head. Determine, for each person, the probability that he or she tosses the first head. Verify that the sum of the three probabilities is 1.
Answer:
Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.
Step-by-step explanation:
The coin theoretically could give a very large number of tails first so each person's probability is made up of an infinite series.
P(1st person wins) = P(H) + P(TTTH) + P(TTTTTTH) + . . . etc
= 1/2 + (1/2)^4 + (1/2)^7 + (1/2)^10 + . . .
This is a geometric series with first term a = 1/2 and common ratio r = 1/8
Using formula a/(1 - r) this is (1/2)/(7/8) = 4/7
P(2nd person wins) = P(TH) + P(TTTTH) + P(TTTTTTTH)
= (1/2)^2 + (1/2)^5 + (1/2)^8 + . . .
Geometric series with sum (1/4)/(7/8) = 2/7
P(3rd person wins) = P(TTH) + P(TTTTTH) + P(TTTTTTTTH) + . . .
= (1/2)^3 + (1/2)^6 + (1/2)^9 + . . .
Geometric series with sum (1/8)/(7/8) = 1/7
Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.
Hope this helped!
James determined that these two expressions were equivalent expressions using the values of y=4 and yu 6. Which
statements are true? Check all that apply
7x+4 and 3x+5+4x-1
When - 2. both expressions have a value of 18.
The expressions are only equivalent for X-4 and X- 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When - 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if X-
Answer with explanation:
Two or more Algebraic expressions are said to be equivalent, if both the expression produces same numerical value , when variable in the expressions are replaced by any Real number.
The two expressions are
1. 7 x +4
2. 3 x +5 +4 x =1
Adding and subtracting Variables and constants
→7 x +5=1
→7 x +5-1
→7 x +4
→ When x=2,
7 x + 4 =7×2+4
=14 +4
=18
So, Both the expression has same value =18.
→So, by the definition of equivalent expression, when ,you substitute , x by any real number the two expression are equivalent.
Correct options among the given statement about the expressions are:
1.When x = 2, both expressions have a value of 18.
2.The expressions have equivalent values for any value of x.
3.The expressions have equivalent values if x = 8.
Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must be as large as possible.
Answer:
2x2x7
Step-by-step explanation:
Determine the perimeter and area of the red portion of the 2 dimensional figure below, given the circle diameter of 7 cm and the perimeter of the entire figure is 42 cm. Round if necessary
Answer:
Perimeter = 20cm ; area = 59.5cm
Step-by-step explanation:
Given the following :
Perimeter of entire figure = 42cm
Diameter of circle (d) = 7cm
Find the perimeter of the circle :
The perimeter (p) of a circle equals :
2πr
Where r = radius of circle
r = diameter /2 = 7/2 = 3.5cm
Therefore,
P = 2 * (22/7) * 3.5
P = 22 cm
Looking at the figure, we only take the semicircle :
Therefore perimeter of each semicircle =
22cm / 2 = 11cm
Therefore, perimeter of the red shaded region =
(42 - 22)cm = 20cm
Area of Circle = πr^2
(22/7) * 3.5^2 = 38.5 cm
Area of each semicircle = 38.5/2 = 19.25cm
Total area of semicircle = (19.25 +19.25) = 38.50cm
To find sides of rectangle :
Perimeter of the rectangle :
width = diameter of circle = 7cm
2(l + w) = 42
2(l + 7) = 42
2l + 14 = 42
2l = 42 - 14
2l = 28
l = 28/2
length (l) = 14cm
Therefore, area of rectangle :
Length * width
14 * 7 = 98cm
Area of red portion:
Area of rectangle - (area of the 2 semicircles)
98cm - 38.50cm
= 59.50cm
Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah's annual gross income and annual net incom
Sara works 46 hours per week
9 hours are overtime and 37 hours are regular time
pay rate at time and a half: 10.20∗1.5=15.30
regular hours plus overtime pay
37∗10.20=377.40
9∗15.30=137.70
Income due to tips
Total hours worked∗60per hour∗20%
46∗60∗.20=552
Weekly Income=Hourly income + tips
Weekly Income=377.40+137.70+552.00
Weekly Income=1067.10
Annual income=Weekly income∗52
Annual income=55489.20
Use the interactive number line to find the sum.
-5.5 + 3.7 =
Answer: -1.8
Step-by-step explanation:
Start at -5.5 and move the point on the number line up 3.7 spaces.
Hope it helps <3
Answer:
Your correct answer is -1.8
Step-by-step explanation:
−5.5 + 3.7
= −5.5+3.7
= −1.8
The total capacity of a water bottle and a mug is 7/8 litre. The capacity of the mug is 1/4 litre. How much greater is the capacity of the water bottle than the mug.
Answer:
The capacity of the water bottle is 2.5 times greater than the mug.
Step-by-step explanation:
We know that the capacity of a water bottle and a mug is 7/8 litre:
[tex]bottle+mug=\frac{7}{8}[/tex]
But we also now that the mug's capacity is 1/4 litre, so the equation above becomes:
[tex]bottle + \frac{1}{4}=\frac{7}{8}[/tex]
Now we want to know how much greater the capacity of the bottle than the mug is. To do this we need to know first what's the capacity of the bottle.
So, we would have:
[tex]bottle=\frac{7}{8}-\frac{1}{4} \\\\bottle=\frac{7}{8}-\frac{2}{8}\\\\\\bottle=\frac{5}{8}[/tex]
Therefore the bottle has a capacity of 5/8 liter while the mug has a 2/8 liter one.
To know how much greater is the capacity of the water bottle than the mug we need to divide these two quantities, so we have:
[tex]\frac{5}{8}[/tex]÷[tex]\frac{2}{8}[/tex][tex]=\frac{5}{8}[/tex]×[tex]\frac{8}{2}[/tex][tex]=\frac{5}{2}=2.5[/tex]
Therefore the capacity of the water bottle is 2.5 times greater than the mug.
List the coordinates of FOUR vertices that create the feasible region on the graph. Submit your answer in the form of FOUR ordered Pairs (x, y)
Answer:
see below
Step-by-step explanation:
The feasible region is the shaded area. We just need to find the coordinates of its vertices. These are (200, 200), (300, 0), (500,0) and (300, 200).
Find the angle θ between the two sides of a triangle whose lengths are 5cm and 4cm , if its area is 5cm²
[tex] \Delta = \frac 1 2 a b \sin C[/tex]
[tex]\Delta=5, \quad a=5, \quad b=4[/tex]
[tex]\sin C = \dfrac{2 \Delta}{ab} = \dfrac{2 (5)}{5(4) } = \dfrac 1 2[/tex]
[tex]C=30^\circ \textrm{ or } C=150^\circ[/tex]
Answer: two possibilities, θ=30° or 150°
The slope of the line below is 4 . Which of the following is the point slope form of that line ? ( top answer gets )
Answer:
C
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 4 and (a, b) = (- 3, - 4) , thus
y - (- 4) = 4(x - (- 3)) , that is
y + 4 = 4(x + 3) → C
2x -2=10 solve for x
Answer:
x=6
Step-by-step explanation:
Take -2 and add it to 10 and get 12. So then the equation is 2x=12. Divide 2 by 12 and get x=6.
Find the inverse of the function f(x) = 2x² - 3x NO ABSURD ANSWERS IF YOU DON't WANT YOURSELVES TO GET REPORTED!
Answer:
[tex]\boxed{f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}}[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-3x[/tex]
[tex]f(x)=y[/tex]
[tex]y=2x^2-3x[/tex]
Switch variables.
[tex]x=2y^2-3y[/tex]
Solve for y.
Multiply both sides by 8.
[tex]8x=16y^2-24y[/tex]
Add 9 on both sides.
[tex]8x+9=16y^2-24y+9[/tex]
Take the square root on both sides.
[tex]\sqrt{8x+9} =\sqrt{16y^2-24y+9}[/tex]
Add 3 on both sides.
[tex]\sqrt{8x+9}+3 =\sqrt{16y^2-24y+9}+3[/tex]
Divide both sides by 4.
[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{\sqrt{16y^2-24y+9}+3}{4}[/tex]
Simplify.
[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y-3+3}{4}[/tex]
[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y}{4}[/tex]
[tex]\frac{\sqrt{8x+9}+3}{4}=y[/tex]
Inverse y = [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}[/tex]
Answer:
[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]
Step-by-step explanation:
[tex] f^{-1}(x) = 2x^2 - 3x [/tex]
Change function notation to y.
[tex] y = 2x^2 - 3x [/tex]
Switch x and y.
[tex] x = 2y^2 - 3y [/tex]
Solve for y.
[tex] 2y^2 - 3y = x [/tex]
Complete the square on the left side. We must divide both sides by 2 to have y^2 as the leading term on the left side.
[tex] y^2 - \dfrac{3}{2}y = \dfrac{x}{2} [/tex]
1/2 of 3/2 is 3/4. Square 3/4 to get 9/16.
Add 9/16 to both sides to complete the square.
[tex] y^2 - \dfrac{3}{2}y + \dfrac{9}{16} = \dfrac{x}{2} + \dfrac{9}{16} [/tex]
Find common denominator on right side.
[tex] (y - \dfrac{3}{4})^2 = \dfrac{8x}{16} + \dfrac{9}{16} [/tex]
If X^2 = k, then [tex] X = \pm \sqrt{k} [/tex]
[tex] y - \dfrac{3}{4} = \pm \sqrt{\dfrac{1}{16}(8x + 9)} [/tex]
Simplify.
[tex] y = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]
Back to function notation.
[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]
Find the length of an earthworm 4 hours after its birth
Answer:
Maximum is 14 inches so maybe 5 inches?
Step-by-step explanation:
HELP ASAP THANK YOU!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
If (x + h) is a factor of f(x) then remainder is zero and x = - h is a root
Since division of 2x² + 2x + 9 by (x + 3) is zero , then
(x + 3) is a factor and x = - 3 is a root of the polynomial → C
Petroleum motor oil does a combination of natural oil and synthetic oil. It contains 5 L of natural oil for every 3 L of synthetic oil. In order to make 768 L of petroleum oil how many liters of natural oil are needed
Answer:
480 liters of natural oil
Step by step Explanation:
ratio of natural to synthetic oil
= 5:3
If 440 liters have to be made then,
Add 5 + 3 = 8
So, 5/8 of 768 liters will be = 480 liters of natural oil
and, 3/8 of 768 liters will be = 288liters of synthetic oil
Therefore, 480 liters of natural oil will be needed
The tire of a car has a radius of 10.5 inches. How far will the car travel for 200 revolutions? Use
22/7 as an approximation for it.
Answer:
The car will travel approximately 13200 inches
Step-by-step explanation:
Notice that in one revolution, the car travels exactly the length of the tire's circumference, that is: [tex]2\,\pi\,R[/tex]
Then, in 200 revolutions the car will travel 200 times that amount:
[tex]200\,(2\,\pi\,R)=400\ \pi\,R[/tex]
So for the given dimension of the tire, and using the approximation [tex](\pi\approx22/7)[/tex], this distance would be:
[tex]400\ \pi\,R=400\,\,\frac{22}{7} \,\,10.5\,\,in=13200\,\,in[/tex]
what is 25 (10 + 50) - 25?
Answer:
1,475
Step-by-step explanation:
10 + 50
= 60
60 * 25
= 1,500
1,500 - 25
= 1,475
Answer:
Hey there!
25(10+50)-25
25(60)-25
1500-25
1475
Hope this helps :)
One of these is not an aquatic swimming A. canoeing B. shooting C. swimming D. diving
The answer is B. Shooting. Shooting is a sport on dry land, while the other three are aquatic sports, that is, they are on or in the water.
Factor the expression
Answer:
Step-by-step explanation:
Your difference of perfect cubes formula is given as
[tex](a-b)(a^2+ab+b^2)[/tex] and you have already correctly identified a as [tex]5q^2[/tex] and b as [tex]r^2s[/tex]. So we fill in the formula as follows:
[tex](5q^2-r^2s)((5q^2)^2+(5q^2)(r^2s)+(r^2s)^2)[/tex] and we simplify. Remember that
[tex](5q^2)^2=(5)^2*(q^2)^2=25q^4[/tex]. It's important that you remember the rules.
Simplifying then gives us
[tex](5q^2-r^2s)(25q^4+5q^2r^2s+r^4s^2)[/tex]
That's it, so fill it in however you need to on your end. Learn the patterns for the sum and difference of cubes and it will save you a ton of headaches...promise!!
I need answers for this please!! ;D
it is isosceles triangle as you see
so that 62 = other unknown angle
as it is a triangle interior angles sum = 180
124 + x = 180
x = 180 - 124
x = 56
find x3 -y3,if x-y=5 and xy=14
Answer:
335
Step-by-step explanation:
Factor the given binomial:
x - y = 5
xy = 14
x = y + 5
(y + 5)y = 14
y^2 + 5y - 14 = 0
(y + 7)(y - 2) = 0
y = -7 or y = 2
y = -7
xy = 14
-7x = 14
x = -2
y = 2
2x = 14
x = 7
Solutions:
x = -2, y = -7
x = 7, y = 2
For x = -2, y = 7
x^3 - y^3 =
= (-2)^3 - (-7)^3
= -8 - (-343)
= 335
For x = 7, y = 2
x^3 - y^3 =
= 7^3 - 2^3
= 343 - 8
= 335
2/7/10
Container X contained 1200 g of sand. Container Y contained L
rand. After an equal amount of sand was removed from each com
Lontainer y now hos 7 times as much sand as Container XHOW now
and was removed from each container? Give your answer in kilograma
Complete question:
Container x contained 1200g of sand. Container y contained 7.2kg of sand. After as equal amount of sand was removed from each container, Container Ynow has 7 times as much as sand as container x. How much sand was removed from each container?
Answer: the mass of sand removed from both containers is 0.2kg
Step-by-step explanation:
Given that:
Mass of sand in container X = 1200g = 1.2kg
Mass of and in container Y = 7.2kg
Equal amount of sand was removed from both.
Let the mass of sand removed from both containers = z
That is;
Container X = 1.2 - z
Container Y = 7.2 -z
Now container Y has become 7times the content in container X
Container Y = 7 * (container X)
7.2 -z = 7(1.2 - z)
7.2 - z = 8.4 -7z
-z + 7z = 8.4 - 7.2
6z = 1.2
z = 0.2
Therefore, the mass of sand removed from both containers is 0.2kg
what is the slope of the line shown below (2 2) (4 8) a. 3 b. 1/3 c. -1/3 d. -3
Answer:
Option A.3
Step-by-step explanation:
If its rise over run the fraction should be right 2 up 6 makeing a fraction of
6/2 which equals 3
The line has a slope of 3
The volume inside of a sphere is V=4πr33 where r is the radius of the sphere. Your group has been asked to rearrange the formula so that it is rewritten to solve for r. Below are various solutions that your group-mates have arrived at. Select the correct one A) r=3V4π−−−√ B) r=3V4π−−−√3 C) r=3V√34π D) r=4V3π−−−√3
Answer:
Step-by-step explanation:5
Which equation describes the same line as y -3 equals -1 (x + 5)?
Answer:
y=-x-2
Step-by-step explanation:
y-3=-x-5
y=-x-2