9514 1404 393
Answer:
a) V = 4w²h
b) SA = 4w² +10wh
c) SA = 4w² +37.5/w
d) C = 40w² +225/w
Step-by-step explanation:
The relevant formulas are ...
V = LWH
base area = LW
lateral area = H(2(L+W))
__
a) The length is 4 times the width, so the volume is ...
V = (4w)(w)(h)
V = 4w²h
__
b) The total surface area is the sum of the base area and the lateral area:
SA = base area + lateral area
SA = (4w)(w) + 2h(4w +w)
SA = 4w² +10wh
__
c) The volume is 15 m³, so the height in meters in terms of the width in meters is ...
15 = 4w²h
h = 15/(4w²)
Then the surface area is ...
SA = 4w² +10w(15/(4w²))
SA = 4w² +37.5/w
__
d) The equation we have for surface area has one term for base area and a second term for lateral area. We can apply the cost factors to those terms to get the cost of materials:
C = 10(4w²) +6(37.5/w)
C = 40w² +225/w
HELP PLEASE I NEED SOME HELP!!
Answer:
D
Step-by-step explanation:
because it looks more centered to how the dots are scattered
What is the area of the shaded region in the figure?
Answer:
look at the picture i sent please
WORTH 25 points!! NEED ASAP!! REALLY IMPORTANT
Answer:
V = (4.2)(7.5)·w
if w = 2 then V = 63 ft³
Step-by-step explanation:
V = l·w·h
V = (4.2)(7.5)(2)
V = 63
15. Paula bought a ski jacket on sale for $20
less than half of its original price. She
paid $68 for the jacket. What was the
original price?
Answer:
Step-by-step explanation:
P/2-20=68, add 20 to each side
P/2=88, multiply each side by 2
P=$176
The original price was $176
i know this isnt math but pls help me with this ASAP
some of the darwens spiders have different traits for flexibility because they each got different different traits from each parent. like offspring A and C got their traits from their mother. offspring B got its traits from its father. and Offspring D got their traits from both mother and father.
I hope this helps
Can some one help me with this ?
Answer:
its the same as 48
Step-by-step explanation:
Answer:
both sides are the same so it has to be also 48
Find the surface area of the rectangular prism.
HELP ME PLS ASAP PLS PLZ
Multiply the following using the vertical multiplication method:
x2 + 5x +1
x3x2 - 2x +4
O
A. 3x4 - 13x3 +3x2 + 18x + 4
B. 3x4 - x2 + 3x2 + x + 4
o
C. 3x4 + x2 + x2 +18x + 4
o
D. 3x4 +13x3 - 3x2 + 18x + 4
Answer:
a I think I might be a try it tell me if I am wrong
1pt = what fl oz please I need this asap
Answer:
16 fl oz
1 cup is 8
x2
16 fl oz.
If x = 3 units, y = 6 units, and h = 7 units, find the area of the parallelogram shown above using decomposition.
A.
63 square units
B.
84 square units
C.
21 square units
D.
42 square units
Answer:
A
Step-by-step explanation:
Answer:
A. 63 square units
Step-by-step explanation:
The person's answer above is correct. I have drawn a photo for reference!
What is the value of n ?
Answer:
n=10
Step-by-step explanation:
5n-20=3n
-20=-2n
10=n
Plz answer will mark brainliest
Answer:
Step-by-step explanation:
w and d are the width and diagonal, respectively.
w = d/2 + 1 = (d+2)/2
Pythagorean theorem
w^2 + 8^2 = d^2
substitution
(d+2)^2/4 +64 = d^2
(d+2)^2 + 256 = 4d^2
d^2+4d+4 + 256 = 4d^2
3d^2-4d-260 = 0
Quadratic formula
d = [4±√( 4²-4(3)(-260))]/[2⋅3] = 10, -26/3
-26/3 is an extraneous solution, so d = 10 inches
w=d/2 +1 =6 inches
Ant‘s path = 8+6 = 14 inches
Beetle’s path = 10 inches
14 < 1.5(10)
Ant reaches food first.
PLS HURRY!!!
Ana needs to find the height of a triangle. She already knows the area of the triangle. She knows that the formula for finding the area of a triangle is
A
=
1
2
b
⋅
h
.
Which equation shows how she can rewrite this formula to help her find the height of the triangle?
A.
A
−
b
2
=
h
B.
h
=
A
2
+
b
2
C.
h
=
A
b
2
D.
2
A
b
=
h
Answer:
Step-by-step explanation:
if A = 1 2 b then it comes to h
ineeeddddddyoooouuuurrrrr hhhheeeellllpppp ppppllllssss
Answer:
d. you just have to multiply everything
An expression equivalent to -4(2k-6)
Answer:
-8k + 24
Step-by-step explanation:
Is your expression.
Evaluate each expression if m = 3 and n = 7. n to the power of 2 - 2m plz
Answer:
[tex]7^{2}[/tex] -2 * 3 is equal to 43
Step-by-step explanation:
The lines below are parallel. If the slope of the green line is -2, what is the
slope of the red line?
Answer:
C. -2
Step-by-step explanation:
All parallel lines have the same slope
Find the unknown value in the proportion. 3/5 = x/20. what is the value of
X?
Question
Example
Step by Step
The endpoints of a side of rectangle ABCD in the coordinate plane are at A (2.11) and
B7, 1). Find the equation of the line that contains the given segment
The line segment is BC.
The equation is y =
llo
You are traveling down a country road at a rate of 95 feet/sec when you see a large cow 300 feet in front of you and directly in your lane. The cow is fearless, and staring you down. (Or perhaps she does not understand the gravity of the situation.) Regardless, if you simply hit your brakes, after t seconds, the car will be j(t) = 95t - 9t^2 feet from the point where the brakes were first applied.
1) Must you steer to avoid the cow, or can you rely solely on your brakes? Explain.
2) Graph J(t), j'(t), and j"(t) and Interpret their meanings in context.
3) Is there a time t after which the graphs in part (ii) probably do not accurately model the path of the car?
4) Write a piece-wise function using j(t) that would more accurately model the path of the car on the interval [0, 10], assuming the car did not move after it stopped. Sketch this graph and its derivative.
Answer:
1) You can rely solely on your brakes because when doing so the car will just travel 250ft from the point you hit your brakes till the point the car stopped completely, leaving you 50ft away from the cow.
2) See attached picture.
j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet
j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.
j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]
3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.
4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]
[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]
(see attached picture for graph)
Step-by-step explanation:
1) In this part of the problem we need to find the time when the speed of the car is 0. Gets to a complete stop. For this we will need to take the derivative of the position function so we get:
[tex]j(t)=95t-9t^2[/tex]
[tex]j'(t)=95-18t[/tex]
and we set the first derivative equal to zero so we get:
95-18t=0
and solve for t
-18t=-95
[tex]t=\frac{95}{18}[/tex]
t=5.28s
so now we calculate the position of the car after 5.28 seconds, so we get:
[tex]j(5.28)=95(5.28)-9(5.28)^{2}[/tex]
[tex]j(5.28)=250.69ft[/tex]
so we have that the car will stop 250.69ft after he hit the brakes, so there will be about 50ft between the car and the cow when the car stops completely, so he can rely just on the breaks.
2) For answer 2 I take the second derivative of the function so I get:
[tex]j(t)=95t-9t^{2}[/tex]
[tex]j'(t)=95-18t[/tex]
j"(t)=-18
and then we graph them. (See attached picture)
j(t) represents the distance from the point you hit the brake t seconds after you hit it in feet
j'(t) represents the velocity of the car t seconds after the brakes have been hit in ft/s.
j"(t) represents the acceleration of the car t seconds after the brakes have been hit in [tex]ft/s^{2}[/tex]
3) yes, any time after t=5.28 will not accurately model the path of the car since at that exact time the car will reach a velocity of 0ft/s and unless another force is applied to the car, then the car will not move after that time.
4) [tex]j(t)=\left \{ {{95t-9t^{2}; 0\le t<5.28s} \atop {250.69; 5.28s\leq t \leq 10s}} \right.[/tex]
[tex]j'(t)=\left \{ {{95-18t; 0\leq t<5.28s} \atop {0 ; 5.28s\leq t \leq 10s}} \right.[/tex]
(see attached picture for graph)
What is the equation of a line that has a slope of -3 and passes through the point (2,5)?
A y=-3x - 1
B. y=-3x +11
C.y= 2/5x -3
D. y=5/2x-3
Answer:
B
Step-by-step explanation:
the answer is B y=-3x+11
Find the measure of 2.
50 2.
1130
< 2 =
[?]
Determine the lateral area of the rectangular prism.
4.2 cm
5 cm
2.9 cm
Answer:
(did you forget the picture?) if those numbers are the lengths of the prism just multiply them all.
multiply them to get 60.9
Find the perimeter
NO BOTS
And if you see one, then still say the answer.
Answer:
40 feet.
Step-by-step explanation:
10 + 13 + 17 = 40
Help
Amelia's water bottle holds 4 pints, 2 cups. How many cups does Amelia's water bottle hold? Note: 1 pint = 2 cups
Group of answer choices
Answer: it hold 8 cups
Step-by-step explanation:
May I plz get brainlest
If she has 4 pints and 2 cups, and pints still needs converted, then multiply 4 by 2 to get the number of cups per pint. so she has 8+2 cups, or 10 cups in her water bottle
---
hope it helps
ANSWER CORRECT FOR BRAINLIEST - 10 POINTS
Which step in the software development life cycle analyzes the scope of work?
Coding
Design
Planning & Analysis
Testing
Answer:
planning and analysis
Step-by-step explanation:
Helpppppppppp sjsndkejsnsnsb
Answer:
18.8 fleck dickon Dunn dream fun deep
midsegment of a trapezoid find x
Answer:
x = 7
Step-by-step explanation:
Based on the midsegment theorem of a trapezoid, thus:
NP = (JK + ML)/2
Substitute
45 = (3x + 11 + 10x - 12)/2
2*45 = 13x - 1
90 = 13x - 1
90 + 1 = 13x
91 = 13x
Divide both sides by 13
91/13 = x
7 = x
x = 7
Can someone please help me
9514 1404 393
Answer:
(a) linear
Step-by-step explanation:
When faced with determining functional relationships from tables, it is a good idea to look at the x-values (usually the first row) to see if they are sequential or have a common difference. Here, the numbers 1, 2, 3, 4 are consecutive, so have a common difference of 1.
Then, look at the y-values (usually the second row) to see if they have a common difference. Here, those numbers, too, are sequential: 4, 5, 6, 7, so have a common difference of 1.
__
When both x- and y-values have common differences, the table represents a linear function.
You have already determined the y-values have a common difference of 1, so you know choice C is inappropriate.
a. Linear: As x increases by 1, so does y.
4/15 x 6 in simplest form
Answer:
1.6
Step-by-step explanation: