(HURRY) A tank is filled with 100 gallons of water. The volume of water decreases by 10 gallons every hour.
Which equation represents this situation if V represents the volume of water left in the tank in gallons and represents the time in hours?
Answer:
100 - 10x = v
Step-by-step explanation:
Plan-
100 gallons of water to startthen -10 gallons per hourfind vSteps
[tex]100-10x[/tex] = V
(x repersents the hours)
On Wednesday 72% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought gas.
How many of these 250 customers made additional purchase?
im doing a test
Answer: 180 people
I hope i helped you! I wish you luck on the test!
459,450,441, find the 37th term
Answer:
135
Step-by-step explanation:
So, our first term is 459.
Lets find what our change in terms is. To do this, lets subtract the frist term by the second:
459-450
This will get you 9.
Now that we know our change per term, lets find our 37th term.
All we need to do, is take our first term, and subtract it by our change in terms times the amount of terms.(Note that we already know are 1st term, so we are multiplying the change in terms by 36, not 37. )
So this is what we can use to solve for this:
459-(9x37)
This equals
135.
Hope this helps!
Step-by-step explanation:
first term = a = 459
common difference = d = 450 - 459 = -9
nth term = an
n = -9
an = a + (n-1)d
= 459 +(37-1)-9
= 459 + (36)-9
= 459 -324
= 135
37 th term = 135
plz mark my answer as brainlist if you find it useful for you. hope this will be helpful to you .
Which is the expected value of the random variable with given probability distribution ?
Answer:
Step-by-step explanation:
Let X be the RV we are talking about.
Expected value has different aliases, such as weighted average, mean, expectation, first moment and so on.
Okay, how do we calculate the average first, just sum all the values and divide by number of values. It comes from the basic assumption, which is choosing one of them is equally likely. What I mean by that is quite simple, above process what I talked about is just sum of the numbers times their probabilities. e.g. (a+b+c+d)/4 = a/4 + b/4 + c/4 + d/4. In the example, we assumed that probability of choosing any a, b, c and d is equally likely.
Then, why I use the term weighted average is the generalized situation of average, which is some of the numbers are repetitive. For instance, X can take the values a, b, c and d; however, X can take the value a 3 times more than d, X can take the value b 2 times more than d and c and d occurs with the same frequency at X, Therefore, if we take a sample, it is likely to be a, b, a, c, d, a, b or the permutation of this sample. Therefore the weighted average is 3 * a / 7 + 2 * b / 7 + c / 7 + d /7 or using normal average theorem (a + a + a + b + b + c +d) / 7. First, both of them are equal. Find the distribution and multiply the values with the probabilities of the distribution and sum them up or just add them and divide by number of sample. Second, if you check that, a has more weight, which means a can determine the direction of the average more. That is the logic behind the expected value.
Now, if X is a discrete RV (like in the above example), we know what we are going to do. What if X is a continuous RV ? X could take infinite values therefore if you divide a number with an infinite value, the probability of an individual value X could take is going to be 0. Therefore, we cannot calculate the expected value of chosen values individually; however, we can calculate the expected value of an interval by approximating with Riemann Sum or with a better choice, using integrals. Because, technically using Riemann Sum and quantizing the values and approximating the area of the curve is the same as we did above.
In conclusion, basically if X is a discrete RV and the values X could take is countably infinite,
If X is a discrete RV and the values X could take is finite,
if X is a continuous RV,
Right triangles 1-2 and 3 are given with all their angle measures and approximate side lengths.
Use one of the triangles to approximate the ratio WY/WX
A. 0.34
B. 0.94
C. 1.06
D. 2.76
Answer:
0.34
Step-by-step explanation:
Considering the right-angled triangle XYW, an approximate ratio WY/WX is equal to 0.34. The correct option is A.
What is a right-angled triangle?A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangle triangle. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
Considering the right-angled triangle XYW, we would apply the law of cosine to approximate the ratio WY/WX. Mathematically, the law of cosine is given by:
cos(θ) = Adj/Hyp
Where:
Adj is the adjacent side of a right-angled triangle.
Hyp is the hypotenuse of a right-angled triangle.
θ is the angle.
Substituting the given parameters into the formula, we have;
cos(θ) = WY/WX
cos(70) = 3.4/10
0.34 = 0.34.
Therefore, the correct option is A.
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There are 1,024 players in a tennis tournament. In each round, half of the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?
A: f(x)=1,024(1.50)x
B: f(x)=1,024(0.50)x
C: f(x)=1,024(1.05)x
D: f(x)=1,024(0.05)x
Answer:
f(x) = 1,024(0.50)x
Step-by-step explanation:
i just took the test :)
I need help please and thanks
Answer:
hi
Step-by-step explanation:
[tex] {12}^{2} + {x}^{2} = {14}^{2} \\ 144 + {x}^{2} = 196 \\ {x }^{2} = 196 - 144 \\ {x}^{2} = 52 \\ x = 2 \sqrt{13} [/tex]
i think so
hope it helps
have a nice day
if the perimeter of an equilateral triangle is 54 in, what is the area? step by step
Answer:
A≈140.3in²
Step-by-step explanation:
A=3 /4a^2
P=3a
Maria walks 16 meters every 10 seconds how far does she walk in 45 seconds?
Answer:
72 m
Step-by-step explanation:
The unit rate is
16 m
----------- = 1.6 m/sec
10 sec
and so, in 45 sec, Maria walks:
(1.6 m/sec)(45 sec) = 72 m
Line segment ĀB has endpoints of A(-3,7) ans B(3,15). Identify the slope of a line perpendicular to ĀB
Answer:
m = -3/4
Step-by-step explanation:
Let's look at how much x and y change as we move from A to B:
x increases by 6, from -3 to 3, and y increases by 8, from 7 to 15. Thus, the slope, m, is rise / run, or (change in y): m = 8/6 = 4/3.
Now any line perpendicular to AB has a slope which is the negative reciprocal of this 4/3: m = -3/4
How do you solve b^2=-3b
Answer:
b=0,-3
Step-by-step explanation:
b^2+3b=0
b(b+3)=0
b=0
b+3=0
b=-3
Answer:
b = 0 OR b = -3
Step-by-step explanation:
To start off with, we know that this must be a quadratic equation because there's a "^2".
Firstly, we have to bring everything over to one side of the equation. This means we have to add 3b to both sides, as we want the right-hand side to be 0.
b^2 = -3b
+3b +3b
b^2 + 3b = 0
Secondly, we have to factorise. We need to see what number goes into both "b^2" AND "3b".
That is "b".
b^2 + 3b = 0
factor out b
b(b + 3) = 0
Thirdly, we have to use the Null Factor Law to find out what b equals. The Null Factor Law states that if an equation equals 0, then one of the terms must either be 0, or the negative of the other number.
Hence, there are two answers.
b = 0
OR
b = -3
Please answer for brainliest
Answer:
Step-by-step explanation
+ \ x -
Fill in the missing number.______cm=1 meter
Answer:
100
Step-by-step explanation:
What does x=6 match?
I need the answer please
Answer:
Segment 4 cm is congruent
write the mixed number 9 and 1/12 as a decimal
Hey there!
“Write 9 1/12 as a decimal”
9(12) + 1 / 12
9(12) = 108
108 + 1/ 12
108 + 1 = 109
109/12
109/12 = 9.083
Answer: 9.083
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the distance between (2,3) and (-2,7)? Round to the nearest tenth
Answer:
Step-by-step explanation:
distance = [tex]\sqrt{(7-3)^2+(-2-2)^2[/tex] = [tex]\sqrt{16+16} = \sqrt{32}[/tex], which is approximately 5.65685
Answer:
5.7
Step-by-step explanation:
[tex] \sqrt{(2 + 2) {}^{2} + (3 - 7) {}^{2} } = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} = 4 \sqrt{2} = 5.7[/tex]
Rachel is driving at 48mph. She sees an accident directly ahead of her about 200 feet away. Will she be able to stop in time?
Find the 11th term of the geometric sequence 1,3,9, ...
Answer:
27,81, 243
Step-by-step explanation:
Answer:
59049
Step-by-step explanation:
No links GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
9
Answer:
16.
solution:
perimeter = 64
4l = 64
l= 64/4
l=16
Answer:
Step-by-step explanation:
since it's a square we know the 4 sides are the same length.
64 / 4 = 16
so each side is 16.... now use pythagoras to solve for GE since we know the two legs of the triangle .. both 16
16^2 + 16^2 = GE^2
512 = GE^2
[tex]\sqrt{512}[/tex] = GE
22.627417 = GE
GE = 22.6 ( rounded to nearest 10th )
HELP ASAP, PLZZZZZ
Holli's house is located at (−1, 4). She can walk in a straight line to get to Jedd's house. A fast food restaurant is located at (−3, 2) and partitions the way from Holli's house to Jedd's house by a ratio of 1:2. Find the coordinate of Jedd's house.
(−2, 3)
(−4, 1)
(−5, 0)
(−7, −2)
Answer:
Answer C: -5,0
Step-by-step explanation:
I'm probs way late, but there's your answer. Good luck to future exeminese!
(−4, 1)
I pretty sure its B so there you go
HELP ME PLEASE plsssssss
Answer:
220i
Step-by-step explanation:
v=length×width×height
the area of this figure is ? square inches
Answer:
946 sq inches
Step-by-step explanation:
28*7=196
30*25=750
750+196=946 i think thats how you do it lol
(=^w^=)
Answer:
946
Hope this helps!!!!!! :)
Hillary is making a blanket for her mom. Three fourths of the blanket is green and the rest is yellow. Two thirds of the yellow part has her name on it. What fraction of the blanket will, have her name on it?
Answer:
1/6
Step-by-step explanation:
Hillary is making a blanket for her mom.
Let the total blanket = 1
Three-fourths of the blanket is green and the rest is yellow.
The fraction for the rest(yellow portion) = 1 - 3/4
The Lowest Common Denominator is 4
Hence,
4 - 3 /4 = 1/4
Two-thirds of the yellow part has her name on it.
The fraction of the blanket that will have her name on it is calculated as
2/3 of 1 /4
= 2/3 × 1/4
= 1/6
how can the volume of a sphere be found?
Answer:
The formula for the volume of a sphere is V = 4/3 πr³. See the formula used in an example where we are given the diameter of the sphere.
Step-by-step explanation:
plz can i get brainliest
Find the value of the missing angle x.
85
68
Answer:
hey so the angles in a triangle add up to 180°.
take your given angles away from that to find your 3rd angle
180-68-85-27°
angles on a straight line also add up to 180°
so you need to take 27 from 180 to find your answer
180-27=153°
which of. the following events are dependent
A)tossing a coin and selcting a card from a deck
B) tossing a coin tossing a second coin
C) picking a marble out the bag replacing it, and picking another marble
D) picking a candy out a bag eating it and picking another candy
Answer:
i would say C picking a marble out the bag replacing it, and picking another marble
Step-by-step explanation:
Find the height of a trainable with an area of 22 square inches and a base of 4 inches. Include the measurement of the shape in your answer. First who gets it right gets brainliest
Answer:
The height is 11 in
Step-by-step explanation:
I think you mean triangle?
area of a triangle is A = 1/2 b h
fill in and solve for h
22 = 1/2 4 h
44 = 4h
11 = h
allie has 1 jar of peanut butter that cost 32 cents per ounce. there are 5 ounces in the jar. how much does the jar cost?
Answer:
The peanut butter jar costs 1.60 cents
Step-by-step explanation:
Answer: 160=$1 and 60cents
What is the density of a 60-gram pyramid with rectangular base 5 cm x 7 cm and height 9 cm?
Answer:
A
Step-by-step explanation:
The density of the pyramid is approximately 0.57 grams per cubic centimeter.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
To find the density of the pyramid, we need to know its volume as well as its mass.
The volume of a pyramid is given by:
V = (1/3) × base area × height
The base of the pyramid is a rectangle with dimensions 5 cm by 7 cm, so its area is:
A = 5 cm × 7 cm
= 35 cm²
Using the formula for the volume of a pyramid, we have:
V = (1/3) × A× h
V = (1/3) × 35 cm² × 9 cm
V = 105 cm³
Now we can calculate the density:
density = mass / volume
Since the mass of the pyramid is given as 60 grams, we have:
density = 60 g / 105 cm³
To get the density in units of grams per cubic centimeter, we need to convert the units of mass and volume to grams and cubic centimeters, respectively:
density = (60 g / 1000) / (105 cm³ / 1000)
density = 0.57 g/cm³
Therefore, the density of the pyramid is approximately 0.57 grams per cubic centimeter.
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