Answer:
15 20
Step-by-step explanation:
Answer:
15:20
Step-by-step explanation:
The arch of a bridge forms a parabola with the function \displaystyle f(x)=-0.05(x-30)^{2}+45f(x)=−0.05(x−30) 2 +45 where x is the horizontal distance (in meters) from the arch's left end and y is the height (in meters) above the road. How many meters high is the arch at its highest point?
Answer:
40mStep-by-step explanation:
If the arch of a bridge forms a parabola with the function
f(x)=−0.05(x−30)² +45 where x is the horizontal distance;
The arc is at its highest point at when df(x)/dx = 0
df(x)/dx = -2(0.05)(x-30)(1) + 0
df(x)/dx = -0.1(x-30)
df(x)/dx = -0.1x+3
Since df(x)/dx = 0
-0.1x+3 = 0
-0.1x = -3
x = -3/-0.1
x = 20
Substitute x = 20 into the function as shown:
f(x)=−0.05(x−30)² +45
f(20)=−0.05(20−30)² +45
f(20)=−0.05(-10)² +45
f(20)=−0.05(100) +45
f(20)=-5+45
f(20) = 40
Hence the arch is 40meters high at its highest point
21/4 times the quantity 51/2 minus k
Need help writing a expression for this phrase
Answer:
21/4 x 51/2 - k use the app Photomate if wrong
Someone helppp please :)))
Somebody help .
Please .
Answer:
ok so I am not that smart but I want to try to help do this is my best. 595
Step-by-step explanation:
I did my answer on a calculator and pretty much I did 195 plus 400 (btw I got 195 by adding numbers) and then got 595. Like I said not 100% sure but this is the best I got
David's car could cover one lap of the Indy 500 in about 90 seconds. Chris' car could cover one lap in about 54 seconds. If both cars left the same starting point at the same time, after how many seconds would they meet again at the starting point?
Answer:
h
Step-by-step explanation:
3. Standard Form:
Word Form:
Flve hundred six billion, twenty-three thousand, four hundred and twenty-two and 9 thousandths
Answer:
standard form is 506,000,023,422.09
Answer:
506,000,023,422.009
Billions, Millions, Thousands, Hundreds, DECIMAL, tenths, hundreths, and thousandths
3 quantity, $12.50 unit price what is the total cost
Answer:
$37.50
Step-by-step explanation:
$12.50 multiplied by 3
152.230 to the nearest hundredth
Answer:
152.23 Because 0 is not 5 or above so the number stays the same
Step-by-step explanation:
Answer:
152.23
Step-by-step explanation:
just get rid of the zero
What is the value of the expression below when y = 6?
бу — 1
Answer:
35
Given:
y=6
Step-by-step explanation:
бу — 1
6(6)-1
36-1
35
hope it helps you!
Which difference is closest to 12?
A. 89−1112
B. 67−19
C. 1516−38
D. 35−611
Answer:
b
The rest are at least 500 numbers away from 12
Step-by-step explanation:
The distance between the Sun and each planet in our solar system varies because the planets travel in elliptical (oval) orbits around the Sun rather than completely circular ones.
Here is a table of the average distance and the variation in the distance for the five innermost planets in our solar system:
Average Distance and Variation
Planet Name Average Distance Variation
Mercury 36.0 million miles 7.39 million miles
Venus 67.2 million miles 0.43 million miles
Earth 93.0 million miles 1.55 million miles
Mars 142 million miles 13.2 million miles
Jupiter 484 million miles 23.2 million miles
"Average distance" means the mean distance that planet is from the sun over the course of its orbit, and "variation" means how far it varies from that mean. For example, if a planet had an average distance of 5 miles and a variation of one mile, it would have distances between 4 and 6 miles at different times.
a) Write and solve an inequality to represent the range of distances that can occur between the Sun and one of the planets from the table (your choice). Show your steps/process.
b) Why is this best represented as an inequality rather than an equation? Explain in at least 3 sentences.
Answer:
Hope this helps
Step-by-step explanation:
They describe how (1) planets move in elliptical orbits with the Sun as a focus, (2) a planet covers the same area of space in the same amount of time no matter where it is in its orbit, and (3) a planet's orbital period is proportional to the size of its orbit (its semi-major axis)
Answer:
because
Step-by-step explanation:
help with it dont know
K. This table shows a directly proportional
relationship between the distance Craig runs
and the number of track practices he attends.
Number of practices, * Distance (miles), y
4
12
5
15
18
What is the distance Craig runs if he attends 9 track
practices?
Answer:
Step-by-step explanation:
It will be 27 because it is going by 3 so it will be 9 • 3 since 9 is the number of practices and the answer is the Distance (miles)
Answer:
The answer is 27
Tell whether the table shows a linear or nonlinear function. If it is a linear, is it increasing or decreasing?
answer asap for brainliest
5 x 5 x 5, 5^3 and 125
Step-by-step explanation:
Answer:
5 5 5, 5 3
Step-by-step explanation:
Choose the true statement about the graph of 3x ≥ 6.
Answer:
2x (>) or (<) or = to 13
Step-by-step explanation:
If the slope of the line is -4, find y when (2,y) and (3,8).
Answer:
y=12
Step-by-step explanation:
8=-4*3 +b
8=-12=b
20=b
y=-4x=20
-4*2 is -8+20 is 12
(2,12)
A civil engineer wants to know the opinions of drivers about online driving tests. She obtains a list of 730 drivers who have recently completed an online driving course and e-mails a questionnaire to a randomly selected group of 200 of these drivers. Only 102 of the questionnaires are returned. Identify the population and the sample in this study. (4 points)
The population is 200 and the sample is 102.
The population is 730 and the sample is 200.
The population is 102 and the sample is 730.
The population is 730 and the sample is 102.
The population is 200 and the sample is 730.
Answer: The population is 730 and the sample is 102.
Step-by-step explanation:
When we have a given set of elements, N elements, the population is N.
And if we do statistics with A of these N elements, the sample is A.
In this case, the population is the set of the 730 drivers, then the population is 730.
And while 200 of them are randomly selected, we can only work with 102 of them (because we have only 102 returned questionnaires).
Then the sample will be 102.
Then the correct option is:
The population is 730 and the sample is 102.
Answer:
730 and 102.
Step-by-step explanation:
I took the test, so I know this is the correct answer.
Find the value of x.
Answer:
25
Step-by-step explanation:
4y+2=-1/3 (8-12y)
hi I need help with this question??? I'm totally lost
Answer: The answer is no solution :)
4y+2=-1/3(8-12y)
Simplify it
4y+2=-0.333333333333*(8-12y)
Reorder terms in these parentheses
4y+2=+(-2.66666666667+4y)
Remove uneeded parentheses
+4y+2=-2.66666666667+4y
move all terms that has y to the left and all other terms to the right.
+4y-4y=-2.66666666667-2
simplify left the and right side of the equation,
y=-4.66666666667
0=-4.66666666667
The left and right sides are not equal, so there is no solution :)
We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we invest into each account if after the first year, the combined interest from the two accounts is $1238?
Answer:
$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account
Step-by-step explanation:
Let the amount invested in first account be $x while the amount for second account is $y
Mathematically;
x + y = 10,000 •••••••••(i)
Interest on first account
= 14% of x = 14/100 * x
Interest on second account
= 8% of y= 8/100 * y
Adding all together will give total
14/100 * x + 8/100 * y = 1238
Multiply through by 100
14x + 8y = 123800 •••••••(ii)
From equation 1, x = 10,000 - y
Insert this into second equation
14(10,000-y) + 8y = 123,800
140,000 - 14y + 8y = 123,800
140,000 - 6y = 123,800
6y = 140,000 - 123,800
6y = 16,200
y = 16,200/6
y = $2,700
Recall
x + y = 10,000
x = 10000 - y
x = 10,000 - 2,700
x = $7,300
The difference of twice a number and six is four times the number. Find an
equation to solve for the number.
A) 2x - 6 = 4
B) 2x-6 = 4x
C) 2x + 6 = 4x
D) 2x - 6=x+4
Find the measure of the indicated angle to the nearest degree.
How do I solve this?
Answer:
? ≈ 70°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin ? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{32}{34}[/tex] , thus
? = [tex]sin^{-1}[/tex] ( [tex]\frac{32}{34}[/tex] ) ≈ 70° ( to the nearest degree )
Jason Pawloski is married and claims 2 allowances. How much is withheld from his weekly paycheck of $550 for the last week of December for social security and Medicare taxes?
How many times do you have to regroup in 778-168
Answer:
You wouldn't have to regroup at all
Step-by-step explanation:
8-8 is 0 no regrouping there. 7-6 is 1 no regrouping there. 7-1 is 6 no regrouping there. Answer is 610 as well
Suppose you can buy garden fencing in lengths of 50 feet at the local hardware store. A. If you bought 100 feet of fencing and wish to enclose a rectangular garden in your backyard, what should be the dimensions of your garden in order to maximize area?
Answer:
The answer is below
Step-by-step explanation:
Let the length of the rectangular area be L and W be the width of the rectangular garden hence:
Perimeter = 2(L + W)
There is 100 feet of fencing available which represents the perimeter, therefore:
100 = 2(L + W)
L + W = 100/2
L + W = 50
L = 50 - W
The area (A) = L × W
A = L × W
A = (50 - W) × W
A = 50W - W²
To get maximum area, we find the first derivative of the area and equate to zero
A' = 50 - 2W
50 - 2W = 0
2W = 50
W = 50/2
W = 25 feet
100 = 2(L + W)
50 = L + W
L = 50 - W = 50 - 25
L = 25 feet
To maximize area, the length and width should be 25 feet each
Please help me with this question
Answer:
D, D
Step-by-step explanation:
3x - 2 = -2x + 3
5x = 5
x = 1
A sales person in a stereo store is given a choice of two different compensation plans. One plan offers a weekly salary of $250 plus a commission of $25 for each stereo sold. The other plan offers no salary but pays $50 commission on each stereo sold. How many stereos must the sales person sell to make the same amount of money under both plans ?
Answer:
The salesperson needs to sell 10 stereos to make the same money on both plans
Step-by-step explanation:
We'll analyze both choices for the compensation plans of a salesperson.
One plan offers a fixed weekly salary of $250 plus a $25 commission for each stereo sold. The function than models this plan is:
P1=250+25x
Where x is the number of stereos sold.
The other plan offers no fixed salary but a $50 commission on each stereo sold. The function of this plan is:
P2=50x
To find the equilibrium point for both plans, we make P1=P2:
250+25x=50x
Simplifying:
25x=250
Solving:
x = 250 / 25 = 10
The salesperson needs to sell 10 stereos to make the same money on both plans
What is the difference of –89.16 – 154.81?
–243.97
–65.65
65.65
243.97
Answer:
-243.97
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
expand and simplyfy 4(2x+3) +4(3x+2)
Answer:
x=1 I'm not sure if I'm correct
Step-by-step explanation:
4x2x=8x
4x3=12
4x3x=12x
4x2=8
8x+12=12x+8
8x-12x= 8-12
-4x=-4 divide -4x in both side so the answer should be x=1
Can someone help explain this To me? I need help
Answer:
x=18
Step-by-step explanation:
XZ/RT=XY/RS
60/40=(5x-3)/(3x+2)
1.5=(5x-3)/(3x+2)
1.5(3x+2)=5x-3
4.5x+3=5x-3
9=0.5x
18=x
