Answer: here
Step-by-step explanation: id say about 322 cuase of the decimal
3. A person standing 3 feet away from the base of a lamp post casts a shadow 4 feet long. If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute, at what rate will his shadow lengthen
Answer:
533.33 ft/min
Step-by-step explanation:
We are given that
x=3 feet
y=4 feet
Height of person,h=6 feet
[tex]\frac{dx}{dt}=400 ft/min[/tex]
Triangle ABC and A'B'C are similar because all right triangles are similar
By using similarity property
[tex]\frac{h'}{6}=\frac{7}{4}[/tex]
[tex]h'=10.5 feet[/tex]
[tex]x+y=3+4=7 feet[/tex]
[tex]\frac{h'}{6}=\frac{x+y}{y}[/tex]
[tex]\frac{10.5}{6}=\frac{x+y}{y}[/tex]
[tex]10.5y=6x+6y[/tex]
[tex]10.5y-6y=6x[/tex]
[tex]4.5y=6x[/tex]
Differentiate w.r.t t
[tex]4.5\frac{dy}{dt}=6\frac{dx}{dt}[/tex]
[tex]\frac{dy}{dt}=\frac{6\times 400}{4.5}ft/min[/tex]
[tex]\frac{dy}{dt}=533.33ft/min[/tex]
Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min
What is the volume of the rectangular prism?
Answer:
189 yards cubed, hope this helped! :D
Step-by-step explanation:
finding the slope (simplest form)
Answer:
m=3, y = 3x - 2
Step-by-step explanation:
slope = rise / run
slope = 6/2
slope = 3
Answer:
The slope is 3.
Step-by-step explanation:
Slope is equal to rise over run. Let’s take a look at the points given to us on the graph.
To go from the leftmost point to the rightmost point, we rise (go up) 6 units, and then we run over (go right) 2 units. So we have:
Slope = Rise/run = 6/2
Now 6/2 is equal to 3, and that’s the slope.
Hello I just want to ask what is the definition of exterior and anterior?
Answer:
exterior is the outside and anterior is the front
Step-by-step explanation:
An angle is made up of 66 one-degree angles. What is the measure of the angle?
Answer:
66 degrees
Step-by-step explanation:
if there are 66 one degree angles, all alll those together to get 66 degrees in total
The measure of the angle that is given with the given parameter is; 66°
How to find the value of the angle?
We are told that ang angle is made up of 66 one-degree angles. Now, this means that each of the section of the main angle is one degree.
Thus, the value of 66 numbers of that angle will be;
66 * 1 = 66°
In conclusion, the measure of the angle is 66°.
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Huong is organizing paperback and hardback books for her club’s used book sale. The number of paperbacks is 12 less than three times the number of hardbacks. Huong had 162 paperbacks. How many hardback books were there?
Answer:
There were 58 hardback books there.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
x is the number of paperback books.
y is the number of hardback books.
The number of paperbacks is 12 less than three times the number of hardbacks.
This means that:
[tex]x = 3y - 12[/tex]
Huong had 162 paperbacks.
This means that [tex]x = 162[/tex]
How many hardback books were there?
We want to find y.
So, using the value of x, and the first equation, we have that:
[tex]x = 3y - 12[/tex]
[tex]3y = x + 12[/tex]
[tex]3y = 162 + 12[/tex]
[tex]3y = 174[/tex]
[tex]y = \frac{174}{3}[/tex]
[tex]y = 58[/tex]
There were 58 hardback books there.
Simply the expression
Answer:
15i
Step-by-step explanation:
-3+7i+3+8i
0+15i
Answer:
Step-by-step explanation:
(-3+7i)-(-3-8i)= -3+7i+3+8i=15i
15-3a =??
please help
Answer:
a=5
Step-by-step explanation:
-2 1/3 - (-5)=
Please help me
22 is what percent of 40
Answer:
55%
Step-by-step explanation:
40x0.55=22
Answer:
55%
Step-by-step explanation:
To find what percent of 40 is 22, you must divide them.
In this case: [tex]22 / 40[/tex] . This equals .55, which can be represented as 55%
The measured length is 250 ft. The actual length is 246.9 ft. Find the percent error.
In general, how does the growth of y = 4x compare to the growth of y = 4x? The function y = 4x is growing slower than y = 4x. The function y = 4x is growing faster than y = 4x. The functions y = 4x and y = 4x are growing at the same rate. The function y = 4x is growing faster than y = 4x.
Answer:
B. The function y = 4x is growing faster than y = 4x.
Step-by-step explanation:
is the answer.
A game at a carnival has the following rules: A player rolls a 6-sided die and, if the number is less than
6, wins twice the number on the die in tokens. On the other hand, the player loses 12 tokens when a 6 is
rolled. What should it cost to play if the game is to be fair?
Answer: 2 tokens
Step-by-step explanation: 6 and 12 are both able to be divided by 2 i dunno
(5n2 – 4nm - 9m²) + (7n2 + 4nm +8m²) =
Answer:
[tex]\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(5n^2\:-\:4nm\:-\:9m^2\right)\:+\:\left(7n^2\:+\:4nm\:+8m^2\right)[/tex]
Remove parentheses: (a) = a
[tex]=5n^2-4nm-9m^2+7n^2+4nm+8m^2[/tex]
Group like terms
[tex]=5n^2+7n^2-4nm+4nm-9m^2+8m^2[/tex]
Add similar elements: [tex]5n^2+7n^2=12n^2[/tex]
[tex]=12n^2-4nm+4nm-9m^2+8m^2[/tex]
Add similar elements: [tex]-4nm+4nm=0[/tex]
[tex]=12n^2-9m^2+8m^2[/tex]
Add similar elements: [tex]-9m^2+8m^2=-m^2[/tex]
[tex]=12n^2-m^2[/tex]
Therefore, we conclude that:
[tex]\left(5n^2-4nm-9m^2\right)+\left(7n^2+4nm+8m^2\right)=12n^2-m^2[/tex]
Which is an arithmetic sequence with a common difference of 4?
o 2, 8, 32, 128, 512,
o 4, 6, 8, 10, 12,
o 4, 8, 16, 32, 64,
o 5,9,13, 17, 21,
3(x+6)= -3.68
Find x, I think I know how but I’m not really sure
Answer:
x = - 7.23
Step-by-step explanation:
3(x+6)= -3.68 Start with the breackets.
3x + 18 = - 3.69 Subtract 18 from both sides
3x = - 3.69 - 18
3x = -21.69 Divide by 3
x = - 21.69/3
x = -7.23
A 400g loaf of white bread contains 228 g of flour. An 800 g loaf of brown
bread contains 472 g of flour. Which loaf contains a higher percentage of flour?
Answer:
The loaf of brown bread contains a higher percentage of flour.
Step-by-step explanation:
To find the percentage of flour, we divide the amount of flour by the weight of the bread, and then multiply by 100. So
400g loaf of white bread:
228g of flour
[tex]P = \frac{228*100}{400} = 57\%[/tex]
57% of flour
800g loaf of brown bread:
472g of flour
[tex]P = \frac{472*100}{800} = 59\%[/tex]
59% of flour, so, a higher percentage
the distance formula is used for 2 points on a coordinate plane?
Answer:
the distance formula is used to find the distance between two points in the plane.
Step-by-step explanation:
Please solve
Consider the congruence ≡8 (mod 847)
ax ≡ 8 (mod 847).
Choose a value for such that (,847)=1. Then solve the congruence
I want a to be 10, a =10
Answer:
56
Step-by-step explanation:
During one game, the Dallas Cowboys punter was called upon to punt the ball eight times. On one of these punts, the punter struck the ball at his own 30-yard line. The height, h of the ball above the field as a function of time , t, in seconds can be partially modeled by the following table:
t
0
0.6
1.2
1.8
2.4
3.0
h(t)
2.50
28.56
43.10
46.12
37.12
17.60
Use your graphing calculator, to obtain a quadratic regression function for these data. Round the values of a,b, and c to four decimal places.
a.
h (t) = negative 15.9752 t cubed + 52.8875 t + 2.5536
c.
h (t) = 15.9752 t squared + 52.8875 t + 2.5536
b.
h (t) = negative 15.9752 t squared + 52.8875 t + 2.5536
d.
h (t) = negative 15.9752 t squared minus 52.8875 t + 2.5536
Please select the best answer from the choices provided
A
B
C
D
Answer:
B
Step-by-step explanation:
The quadratic regression function for the given data function can be written as f(x) = 2.55357143 + 52.8875x - 15.97519841x².
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that during one game, the Dallas Cowboys punter was called upon to punt the ball eight times. On one of these punts, the punter struck the ball at his own 30-yard line. The height {h} of the ball above the field as a function of time {t} in seconds can be partially modeled by the following table -
{t} 0 0.6 1.2 1.8 2.4 3.0
h{t} 2.50 28.56 43.10 46.12 37.12 17.60
Using the graphing calculator, we can calculate the values as -
Mean of {x} : 1.5
Mean of {y} : 29.16666667
Correlation coefficient {r} : 0.9999376942
A : 2.55357143
B : 52.8875
C : -15.97519841
We can write the quadratic regression function as -
f(x) = A + Bx + Cx²
f(x) = 2.55357143 + 52.8875x - 15.97519841x²
Therefore, the quadratic regression function for the given data function can be written as f(x) = 2.55357143 + 52.8875x - 15.97519841x².
To solve more questions on functions, visit the link below-
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change each mixed number into an improper fraction 6 2/5
Answer:
32/5
Step-by-step explanation:
Convert the mixed number 6 2/5 into an improper fraction by multiplying the denominator by the whole number and then add the numerator.
Ex: 6 2/5 = 5 x 6 +3
What is the factored form of 4p³ + 8p² + 3p + 6
Answer:
(4p^2 + 3) (p+2)
Step-by-step explanation:
find common factors
(4 and 3)
factor and "group the numbers"
The graph below has the same shape as the graph of G(X) = x2, but it is
shifted up four units and to the right three units. Complete its equation. Enter
exponents using the caret (^); for example, enter x2 as x^2. Do not include
"F(x) =" in your answer.
5
Answer:
The new function f(x) = (x-3)² +4
Step-by-step explanation:
Step(i):-
Given that the graph f(x) = x²
The given graph shifted up four units then the new function
f(x) = x²+4
Step(ii):-
And again the graph shifted '3' units right then the graph is transformed to
f(x) = (x-3)² +4
To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $5.30 per hour. The math club wants to spend at most
$81.40 on renting the meeting room.
Answer:
the most time they can spend is 8 hours
I need help really bad please
Answer:
$40
Step-by-step explanation:
Convert gallons to quarts using the following ratio:
4 quarts = 1 gallon
Since she bought 5 gallons of orange juice, multiple 5 by 4.
5 × 4 = 20 quarts
1 quart of orange juice costs $2.
20 × $2 = $40
Hope that helps.
Please help helppppp
Answer:
C
Step-by-step explanation:
Area= 1/2 (b1+b2)h
1/2 (38+14)x16
52x16=416
36 Solve for x. 112 0 0
Answer:
x=12(the side in parallel are equal.
Game stop buys a game for $28 and marks the game up 64%. How much will you pay for the game?
Answer:
45.92
Step-by-step explanation:
50%=14
10%=2.8
4%=1.12
64%=19.92
19.92+28= 45.92
please answer
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 35 problems. Each problem is worth either 5 points or 2 points. How can you set up a system of equations to find how many problems of each point value are on the test? Let x = the number of questions worth 5 points. Let y = the number of questions worth 2 points.
Answer:
5x+2y=35
Step-by-step explanation:
Let me know if this is wrong.
Answer: The correct answer is the first one, x+y=35, 5x+2y=100.
Step-by-step explanation: I got it correct on Edge, Hope this helps :)
9) Alyssa takes 10 hours to repair the roof. It takes Mike 11 hours to
complete this job. How long would it take if they worked together?
Answer:
I'm sorry for "awnsering" this I needed some points
Answer:
11 hours
Step-by-step explanation:
so here the thing alyssa takes 10 hours
but with one more person to help it take have the time to do so that would be 5.
Mike take 11hour to do a job so we do the same thing but with mike so it will be half the time 6
and if you add them together you get 11 soo it would take 11 hours to do all of the work together
(sorry if wrong) but hope it helps