Identify the domain and range of the function graphed below.
One side of a triangle is one-fourth the longest side. The third side is
8 feet less than the longest side. The perimeter is
118. Find all three sides.
The sides have lengths of______ ,___________ , and________ feet.
Answer:
Step-by-step explanation:
Let's call A the longest side. The others triangle sides are B and C.
We know that B = (1/4)*A and C = A - 8
The triangle's perimeter is: A + B + C = 118
Substituting the values of sides B and C, we have:
A + (1/4)A + (A-8) = 118
Adding common terms: (2 + 1/4)A = 118 + 8
(9/4)A = 126 then, A = 56 feet
B = (1/4)A = 14 ft
C = A - 8 = 48 feet
I hope it works for you
HELLPPPP PLEASSe!!!!!!! What’s the answerrr
Please help ASAP 50 pts
Answer:
i belive it is A
Step-by-step explanation:
how many apples are in 24 if they are divided by 6
Answer:
4
Step-by-step explanation:
brainlist plz thx
Answer: 4
Step-by-step explanation:
5. Factor and solve.
x2+3x=18
ssions with Exponents Quiz - Level F
1) Trey's grandmother stores her picture frames in a box. Each side of the box is 20 inches long.
Trey wants to know the volume of the box.
What is the volume of a box with side
lengths that are 20 inches? Use the formula
V = 83, where s is the length of one side.
400 in.
800 in.
20 in.
2,400 in.
8,000 in.
20 in.
20 in.
Answer:
8000 inv^3
Step-by-step explanation:
Write the equation of the horizontal line that goes through the point (2, 4)
Answer:
y=2
Step-by-step explanation:
what is 83 as the sum of three square numbers
Answer:
The smallest prime with a digit sum of 83 is 3999998999.
Step-by-step explanation:
Answer:
3, 5, & 7
Step-by-step explanation:
3*3= 9
5*5=25
7*7 = 49
9+25+49 = 83
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 70 cm/s. Find the rate at which the area within the circle is increasing after each of the following. (a) after 1 s $$40 cm2/s (b) after 4 s cm2/s (c) after 6 s cm2/s
Answer:
(a) 9800π cm²/s
(b) 39200π cm²/s
(c) 58800π cm²/s
Step-by-step explanation:
As we know,
The area of circle is:
[tex]A= \pi r^2[/tex]
[tex]\frac{dA}{dt}=2 \pi r\frac{dr}{dt}[/tex]
The given value is:
[tex]\frac{dr}{dt} =70 \ cm/s[/tex]
Now,
(a)
After 1 second,
r = 70×1
= 70 cm
⇒ [tex]\frac{dA}{dt}=2\pi(70)\times (70)[/tex]
[tex]=9800 \pi \ cm^2/s[/tex]
(b)
After 2 second,
r = 70×4
= 280 cm
⇒ [tex]\frac{dA}{dt}=2\pi \ (280)\times (70)[/tex]
[tex]39200\pi \ cm^2/s[/tex]
(c)
After 6 seconds,
r = 70×6
= 420 cm
⇒ [tex]\frac{dA}{dt}=2\pi \ (420)\times (70)[/tex]
[tex]58800\pi \ cm^2/s[/tex]
The rate will be:
(a) 9800 π cm²/s
(b) 39200 π cm²/s
(c) 58800 π cm²/s
Circle:A circle seems to be a closed object or structure generated by tracing a point that travels together in plane at quite a constant distances from either a specific location.
According to the question,
Speed, [tex]\frac{dr}{dt}[/tex] = 70 cm/s
We know,
The area of circle:
→ A = πr²
[tex]\frac{dA}{dt}[/tex] = 2πr[tex]\frac{dr}{dt}[/tex]
(a) After 1 s, the rate be:
r = 70 × 1
= 70 cm
[tex]\frac{dA}{dt}[/tex] = 2π(70) × 70
= 9800 π cm²/s
(b) After 2 s, the rate be:
r = 70 × 4
= 280 cm
[tex]\frac{dA}{dt}[/tex] = 2π(280) × 70
= 39200 π cm²/s
(c) After 6 s, the rate be:
r = 70 × 6
= 420 cm
[tex]\frac{dA}{dt}[/tex] = 2π(420) × 70
= 58800 π cm²/s
Thus the response above is correct.
Find out more information about area of circle here:
https://brainly.com/question/12069107
What is the slope of the line on the graph?
Answer:
1/2
Step-by-step explanation:
Pick to easy to read points on the line: (-4, 0) and (0, 2)
Start at (-4, 0). To go to (0, 2), you go 2 units up. That is a rise of 2.
Then you go 4 units right. that is a run of 4.
slope = rise/run = 2/4 = 1/2
Answer: 1/2
A truck has used 39 liters of gas. It has 59 liters left in the tank. How many liters will the tank hold when it is full? =
Answer:
98 liters
Step-by-step explanation:
add 39 and 59
Which expression has a negative value?
-12 x (-8)
-72 divided by (-9)
-11x6
-14 + 24
f(x) = -3X - 4 ; Domain= {-17, -14, -6, -2,4, 15}
Range :
Answer:
g(x)={47,38,14,2,-16,-49}
Step-by-step explanation:
f(-17)=-3*-17-4=51-4=47
f(-14)=-3*-14-4=42-4=38
f(-6)=-3*-6-4=18-4=14
f(-2)=-3*-2-4=6-4=2
f(4)=-3*4-4=-12-4=-16
f(15)=-3*15-4=-45-4=-49
Randal's dad is installing a new pool in their backyard. The pool is a square and has an
area of 121ft? Randal's dad will then build a 4 ft wide deck to surround the pool.
What is the outside perimeter of the deck?
Answer:
76 feet.
Step-by-step explanation:
The side of the pool = square root of 121 = 11 feet.
With the deck the length of 1 side will be 11 + 2 *4 = 19 feet.
There are 4 sides in the outside perimeter so the answer:
= 4 * 19 = 76 feet.
Which expression shows 48+16 in the form of C(a+b) where C is the greatest common factor of 48 and 16
Answer:
Step-by-step explanation:
a i promise
which answer is an equation in point-slope form forbthe given point and slope point: (1, -9); slope: 2.
Answer:
The third one is the answer
Step-by-step explanation:
6 5/6 - 3 1/4 I really need help
Answer:
3 7/12 or 3.583
Step-by-step explanation:
What 4x-2 any know :(
Answer:
x=-8
Step-by-step explanation:
Answer:
-8 or 8
Step-by-step explanation:
which staement about rational numbers is true ?
Answer:
All rational numbers are fractions is one answer
Step-by-step explanation:
Rational numbers are numbers that can be converted into fractions. For example, the number 3 is a rational number because it can be converted into 3/1
I need help right now please !!!!
Which ordered pairs could be points on a line parallel to the line that contains (3, 4) and (-2, 2)? Check all that apply.
(-2, -5) аnd (-7, -3)
(-1, 1) аnd (-6, -1)
(0, 0) аnd (2, 5)
(1, 0) аnd (6, 2)
(3, 0) аnd (8, 2)
Answer: The required ordered pairs are (–1,1) and (–6,–1),(0, 0) and (2, 5) and (3, 0) and (8, 2)
Step-by-step explanation:
Which value of x makes this inequality true?
4x > 36
Answers:
—10
8
9
11
Answer:
9
Step-by-step explanation:
You have to divide each side by 4 so it ends up being X > 9
3) One-half of a number plus twelve is sixty.
Answer
96
Step-by-step explanation:
1/2x+12=60
1/2x=48
x=96
Among the thirty largest U.S. cities, the mean one-way commute time to work is 25.8 minutes. The longest one-way travel time is in New York City, where the mean time is 38.5 minutes. Assume the distribution of travel times in New York City follows the normal probability distribution and the standard deviation is 7.2 minutes. Use Appendix B.3. What percent of the New York City commutes are for less than 26 minutes
Answer:
4.093%
Step-by-step explanation:
Here, we want to calculate the proportion of Newyork commutes that are less than 26 minutes
We start by calculating the z-score
z = (x - mean)/SD
here;
x = 26
mean = 38.5 minutes
SD = 7.2 minutes
Thus, we have;
z = (26-38.5)/7.2
z = -1.74
We proceed to use the standard normal distribution table to get the probability of P(x < -1.74)
That will be 0.04093
So the proportion will be this in %
That will be 4.093%
A punch recipe calls for 5 cups of watermelon juice for every 3 cups of grape juice. Select all the statements about the recipe that are correct. *
A : The ratio of grape juice to punch is 8:3.
B : The ratio of watermelon juice to grape juice is 5:2.
C : There are 5 cups of watermelon juice for every 8 cups of punch.
D : The ratio of grape juice to watermelon juice is 3 to 5.
Answer:
d
Step-by-step explanation:
Answer:
D B ?? i think this is correct
Step-by-step explanation:
A large boulder falls from a cliff located 1,044 meters away from a herd of elephants. The temperature of the alr is 28°C.
How long after the boulder crashes will the elephants hear the sound?
O 30 sec
3.20 sec
0.30 sec
3.00 sec
Answer:
it is b
Step-by-step explanation:
I got it right! I also took a test and I reviewed my question
Answer:
3.20
Step-by-step explanation:
end me..............
Jennifer has 82 small spoons and b big spoons.What is the expression that shows how many total spoons Jennifer has.
Answer:
82+b=?
Step-by-step explanation:
Sorry if it is not right but in order to get it right I need to know the total spoons Jennifer has.
1. F & G industries manufacturers a motor that is marketed with a warranty that guarantees it will be replaces free of charge if it fails within the first 13,000 hours of operation. On average, F & G, motors operate for 15,000 hours with a standard deviation of 1,250 hours before failing. The number of operating hours before failure is approximately normally distributed. a. What is the probability that a motor will have to be replaced free of charge
Answer:
The value is [tex]P(X < 13000) =0.054799[/tex]
Step-by-step explanation:
From the question we are told that
The number of hours considered is [tex]x= 13000 \ hours[/tex]
The population mean is [tex]\mu = 15000\ hours[/tex]
The standard deviation is [tex]\sigma = 1250\ hours[/tex]
Generally the the probability that a motor will have to be replaced free of charge is mathematically represented as
[tex]P(X < 13000) = P(\frac{ X - \mu }{\sigma } < \frac{13000 - 15000}{1250} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 13000) = P(Z<-1.6 )[/tex]
From the z table the probability of (Z<-1.6 ) is
[tex]P(Z<-1.6 ) = 0.054799[/tex]
So
[tex]P(X < 13000) =0.054799[/tex]