hello
to solve this question, we'll approach it just like a regular equation
\(\begin{gathered} \mleft|2b-4\mright|=2b-4 \\ \text{collect like terms} \\ 2b-2b=-4+4 \\ 0=0 \\ \text{one of the pair has a symbol}\mleft|\square\mright|.\text{ this is known as the absolute value} \\ \text{and it implies the value in there would be resolved and it'll be positive} \end{gathered}\)Amy spent $6.00 for 2 gallons of gas. Bobby paid $15.00 for 6 gallons of gas. Carlos paid $32.00 for 8 gallons of gas. List the people in order of how much they paid for one gallon of gas, from the cheapest to the most expensive cost per gallon.
Answer:From cheapest to most expensive: Bobby, Amy, Carlos
-Hope this helped!
Step-by-step explanation:
Amy pays $3. 6/2=3
Bobby pays $2.50. 15/6=2.5
Carlos pays $4. 32/8=4
HELP THIS IS HARD FOR ME I WILL GIVE POINTS
Answer:
x = 7\2
Step-by-step explanation:
-6x-4x = -15-20
-10x = -35
x = 7\2
Hope this helps you.
Mark as Brainliest please.
Tameron is driving 540 miles to college.
He drives at a rate of 45 miles per hour.
How many hours will it take him to get 3/4 of the way there?
A. 6 Hours
B. 9 Hours
C. 36 Hours
D. 12 Hours
Answer:
9 hours
Step-by-step explanation:
540 divided by 45 is 12.
3/4 of 12 is 9
so 9 hours
9514 1404 393
Answer:
9
Step-by-step explanation:
3/4 of the distance is ...
(3/4)(540 mi) = 405 mi
The relationship between distance, speed, and time is ...
time = distance/speed
time = (405 mi)/(45 mi/h) = 9 h
It will take Tameron 9 hours to get 3/4 of the way there.
__
Alternate solution
Tameron can go 3/4 of the distance in the same time it would take to go the full distance if he were driving 4/3 times as fast. (4/3)(45 mph) = 60 mph.
time = (540 mi)/(60 mi/h) = 9 h
Effectively, we have done the same calculation ...
\(\dfrac{\dfrac{3}{4}(540\text{ mi})}{45\text{ mi/h}}=\dfrac{540\text{ mi}}{\dfrac{4}{3}(45\text{ mi/h})}=9\text{ h}\)
(-2x+8y-11)+(-3y-y+5)
Answer:
-6
Step-by-step explanation:
tbh I just used a calculator
Answer:
-2x + 4y - 6
Step-by-step explanation:
Our equation is this:
-2x + 8y - 11 - 3y - y + 5
Now, combine like terms:
-2x + 4y - 6
This equation is the most simplified it can be.
Hope this helps :)
Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean = 67.0 kg and standard deviation = 7.9 kg. Suppose a doe that weighs less than 58 kg is considered undernourished.
What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.)
In the national park, the probability that a single doe captured (weighed and released) at random in December is undernourished is 25.5%
How to determine the probabilityData is symmetrically distributed and skew-free in a normal distribution. When the data is shown on a graph, it has the shape of a bell, with the majority of values congregating in the center and diminishing as they move outward.
Due to their structure, normal distributions are sometimes known as bell curves or Gaussian distributions.
Assuming normal distribution we calculate the probability as follows
Definition of variables
mean adult female deer, μ = 67.0 kg
Standard deviation, σ = 7.9 kg
sample, X = 58
Z score, z is given by the formula
= (X - μ) / σ
= (58 - 67) / 7.9
= -1.139 has a p value of 0.2546
P = 25.5%
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What is the integer?
Sally lost 40 dimes because she did not put the money in her piggy bank.
Answer:
-40
Step-by-step explanation:
This is because she LOST 40 dimes making it a negative number, so the integer to represent this would be -40.
PLEASE HURRY DUE TONIGHT
Mary is babysitting a 4-year-old. The little boy wants to play in the kiddie pool in the backyard. Mary knows that using the hose that is near the kiddie pool will take 30 minutes to fill up. The little boy has already asked 17 times if the pool is ready but she hasn't even turned on the water yet. Mary also knows that the hose from the front yard works faster and can fill the pool in 1/2 the time as the hose in the back yard. If she can use both hoses at the same time, how long will it take for the pool to fill up?
(PLEASE SHOW YOUR WORK)(I saw other people get 7.5 min and 75 min but those answers are incorrect.)
A. 5 minutes
B. 10 minutes
C. 22.5 minutes
Using both hoses will take 10 minutes to fill up the kiddie pool. Mary can fill up 1/3 of the pool using the front yard hose in 10 minutes and 1/6 of the pool using the backyard hose in 10 minutes.
To solve this problem, we need to use the concept of rates. Let's assume the rate of the hose in the backyard is x, so the rate of the hose in the front yard is 2x (because it is twice as fast as the other hose).
The combined rate of the two hoses is x + 2x = 3x, which means they can fill the pool in 30/3x = 10/x minutes.
We know that the area of the pool is 600 square feet and each small rock covers 20 square feet, so we need a total of 600/20 = 30 small rocks to cover the pool.
Since the mass of each rock is 20 grams, the total mass of all 30 rocks is 30 x 20 = 600 grams.
To find the density, we divide the total mass (600 grams) by the total volume of the rocks (30 x 20 cubic feet = 600 cubic feet)
Density = 600g / 600 cubic feet = 1g/cubic foot
Therefore, the answer is B. 10 minutes for the pool to fill up, and the density of the rocks is 1 gram per cubic foot.
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Determine what type of model bet fits the given situation: Every day, half a bacteria population dies. A. Linear B.quadratic C. exponential D. None of these
Answer:
Exponential
Step-by-step explanation:
Starter:
According to the title:
"Every day, half a bacteria population dies."
Exponential: y = ab^x ( b > 0 , b ≠ 1)
So the answer is C.
Calculations:
An exponential model is of the form y = a • b^t.
If you start with population of 500 million bacteria
t = 0
so 500 million = a • b^0 = a
Since every day half the population dies then in 1 day population will be 250 million
so a = 500 million, y = 250 million and t = 1
250 million = 500 million • b^1
b = 0.5
Therefore your equation would be
y = 500 million (or whatever the pop) • 0.5^t
Where t = number of days
This could also be written in exponential form ( e = 2.73)
A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
The figure shown is often used to prove the Pythagorean theorem. Part of the proof is
showing that QRST is a square. The four sides of QRST are the same length. Which
explanation best completes the proof that QRST is a square?
Answer: D
Step-by-step explanation:
find the range of this equation
The range of the given equation is [-1, infinity).
We are given that;
Equation y= underroot(x+5)
Now,
The domain of this equation is the set of x values that make the expression under the square root non-negative.
That is, x+5 >= 0, or x >= -5. So the domain is [-5, infinity).
The range of this equation is the set of y values that are obtained by plugging in the domain values into the equation. Since the square root function is always non-negative, and we are subtracting 1 from it, the smallest possible value of y is -1, when x = -5. As x increases, y also increases, and there is no upper bound for y.
Therefore, by the range the answer will be [-1, infinity).
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What’s the answer for this one please show work!
Answer:
∠ MON = 51°
Step-by-step explanation:
∠ LON is composed of the 2 angles LOM and MON , that is
∠ LOM + ∠ MON = ∠ LON
42° + ∠ MON = 93° ( subtract 42° from both sides )
∠ MON = 51°
Answer:
<MON= 51°
Step-by-step explanation:
Look at the diagram and locate LON. You can see that LON is the angle of the complete line. Now LOM is given which is the angle of a part of the lines. So that means that to find MON we can minus LON with LOM.
<MON= <LON - <LOM
= 93-42
<MON= 51°
Feel free to ask any doubt you have!
Which equation has no solution?
David and Ken took part in a cycling race. Both of them did not change their speed throughout the race. David completed the race in 5 hours while Ken took 7 hours. Ken's average speed was 9.8 km/h less than David's average speed.
A) What was David average speed
B)What was the distance of the cycling race?
Let's assume David's average speed is S km/h.
A) To find David's average speed, we can use the formula: Speed = Distance / Time.
David completed the race in 5 hours, so his speed is S km/h. Therefore, we have:
S = Distance / 5
B) Ken's average speed is 9.8 km/h less than David's average speed, which means Ken's average speed is (S - 9.8) km/h.
Ken took 7 hours to complete the race, so we have:
S - 9.8 = Distance / 7
Now, we can solve the system of equations to find the values of S and Distance.
From equation (1): S = Distance / 5
Substitute this into equation (2):
Distance / 5 - 9.8 = Distance / 7
Multiply both sides of the equation by 35 to eliminate the denominators:
7 * Distance - 35 * 9.8 = 5 * Distance
7 * Distance - 343 = 5 * Distance
Subtract 5 * Distance from both sides:
2 * Distance - 343 = 0
Add 343 to both sides:
2 * Distance = 343
Divide both sides by 2:
Distance = 343 / 2 = 171.5 km
Therefore, the distance of the cycling race is 171.5 kilometers.
To find David's average speed, substitute the distance into equation (1):
S = Distance / 5 = 171.5 / 5 = 34.3 km/h
So, David's average speed was 34.3 km/h.\(\)
Answer:
A) 34.3 km/h
B) 171.5 km
Step-by-step explanation:
Since Ken's average speed is said to be 9.8km/h less than David's average speed, and we know that Ken's average speed is dependent on him traveling for 7 hours, then we have our equation to get the distance of the cycling race:
\(\text{Ken's Avg. Speed}=\text{David's Avg. Speed}\,-\,9.8\\\\\frac{\text{Distance}}{7}=\frac{\text{Distance}}{5}-9.8\\\\\frac{5(\text{Distance})}{7}=\text{Distance}-49\\\\5(\text{Distance})=7(\text{Distance})-343\\\\-2(\text{Distance})=-343\\\\\text{Distance}=171.5\text{ km}\)
This distance for the cycling race can now be used to determine David's average speed:
\(\text{David's Avg. Speed}=\frac{\text{Distance}}{5}=\frac{171.5}{5}=34.3\text{ km/h}\)
Therefore, David's average speed was 34.3 km/h and the distance of the cycling race was 171.5 km.
A wiring job requires 4 electricians to work for 6 hours to finish the job.
On the day of the job, one electrician does not report. How long would it
take to complete the same job by the remaining electricians?
The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.
How are number of people to time needed to complete a task related?More people to do a task means less time it will take.
Less people to do a task means more time it will take.
Thus, they are inversely related.
If x men take y time for a work,
We can define a constant as "Manpower" needed for doing that specific work.
Let we define:
Manpower needed for a work = y + y + y + .. + y = Time per man × count of men
Manpower needed for a work = xy
We are given that;
Number of electricians= 4
Number of hours= 6
Now,
We can use the formula:
workers × time = work
where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.
In this case, we know that 4 electricians can complete the job in 6 hours. So:
4 × 6 = work
work = 24
This means that the total amount of work required to complete the job is 24 "units".
Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".
So we have:
3 × t = 24
Dividing both sides by 3, we get:
t = 8
Therefore, by work and time answer will be 3 electricians and 8 hours.
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Please help !!!!!!!!!
The expression can be said to be equivalent because they could be simplified to give the same result.
What are equivalent expressions?Equivalent expressions are two or more mathematical expressions that have the same value for all values of the variables involved. In other words, if you substitute the same values for the variables in two different expressions that are equivalent, you will get the same result.
Thus we can see that; 1/2x^3(8x + 10x^6) is equivalent to x^4(5x^4 + 4) as shown
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Given the function f)(x) =-x^2+3x+8,determine the average rate of change of the function over the interval listed in the picture.
Answer:
Vertex:
(
3
2
,
−
41
4
)
(
3
2
,
-
41
4
)
Focus:
(
3
2
,
−
10
)
(
3
2
,
-
10
)
Axis of Symmetry:
x
=
3
2
x
=
3
2
Directrix:
y
=
−
21
2
y
=
-
21
2
x
y
0
−
8
1
−
10
3
2
−
41
4
3
−
8
4
−
4
Vertex:
(
3
2
,
−
41
4
)
(
3
2
,
-
41
4
)
Focus:
(
3
2
,
−
10
)
(
3
2
,
-
10
)
Axis of Symmetry:
x
=
3
2
x
=
3
2
Directrix:
y
=
−
21
2
y
=
-
21
2
x
y
0
−
8
1
−
10
3
2
−
41
4
3
−
8
4
−
4
Step-by-step explanation:
Answer:
the answer is -3.
Step-by-step explanation:
Each face of a small cube has a surface area of 0.25 square meters. A larger cube has edges that are six times as long as the edges of the small cube. What is the volume of the larger cube?
Answer:
1534
Step-by-step explanation:
34 35 baby you might need a seatbelet
Find the rule from the given table
A.Divide by 2
B.Divide by 3
C.Divide by 5
D.Divide by 6
Answer:
the answer b
Step-by-step explanation:
te answer b because I guessed
[3x (4.6÷2)] +14.1 =
Answer:
21
Step-by-step explanation:
PEMDAS : Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.
First, we want to deal with the parenthesis within the parenthesis.
(4.6/2) = 2.3
Rewrite it into the equation.
[3 * 2.3] + 14.1 = ?
Now, do the work in the parenthesis again.
[6.9] + 14.1 = ?
There isn't anymore parenthesis, exponents, or multiplication/division, so we move onto addition now and add both terms.
6.9 + 14.1 = 21
? = 21
The answer is 21.
Tessa spent $22 on 11 song downloads. How much did each song cost?
Answer:
Each song cost $2
Step-by-step explanation:
2 times 11 is 22
Make me brainliest if this helps!
Answer:
$2 because if you multiply any one-digit number by 11 it is just like 11 but your number
Step-by-step explanation:
(90/5)+(78x34)
90 divided by 5
Solid of revolution (hyperbola) — related rates Calculus
The rate at which the depth of the liquid is increasing when it reaches one-third of the height of the bowl is (7/3)π cm³/s.
What is the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl?To ascertain the rate at which the liquid's depth rises, let's find the derivative of the depth function with respect to time.
Let;
h(t) = depth of the liquidt = timeThe rate of change of the volume of the liquid with respect to time is constant and equal to 7π cm³/s.
To determine the height of the bowl, we can evaluate the curve y = [-4 / (8 - x)] - 1 when x = 4 and y = 7.6 and then find the absolute difference between the values.
h = |[-4 / (8 - 4)] - 1 - [-4 / (8 - 7.6)] - 1|
Let's calculate the rate at which the depth rises when it reaches one-third of the bowl's height.
D = depth of bowl
Using this relationship from the question given;
D = (1/3) * h
In order to determine the rate at which D will change with respect to time, let's differentiate both sides of the equation.
dD/dt = (1/3) * dh/dt
Since dh/dt is the rate at which the depth of the liquid is changing, which is constant and equal to 7π cm³/s, we can substitute it into the equation:
dD/dt = (1/3) * (7π)
Simplifying, we have:
dD/dt = (7/3)π cm³/s
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Given the function: f(x) = 2x + 3.
Find the value of f(x) when x = -8.
Answer: f(x) = -13
Step-by-step explanation:
Answer:
-13
Step-by-step explanation:
f(x) = 2(-8) + 3
= -16 +3
= -13
I need help with some math questions
17. Number of hours, h 10 + 2h Total Cost
1 10 + 2 x 1 12
2 10 + 2 x 2 14
3 10 + 2 x 3 16
4 10 + 2 x 4 18
This is true because as shown in the first example, you have to sub in the number of hours into the "h" value, and multiply it times two. After that, you add ten.
The price of a video game is $32.99 before tax. Andre bought the video game for 20% off. He then paid 8% sales tax on the discounted price. Part A: How much did Andre pay in sales tax? Show all work and steps in your solution. (5 points) Part B: What is the total amount that Andre paid for the video game? Show all work and steps in your solution. (5 points)
Answer:
the answer is 24.23 $ thats what i got
Answer:
A. 2.11 and B. 26.39+2.11=28.50
Step-by-step eplanation:
(a) Show that a differentiable function f decreases most rapidly at x in the direction opposite the gradient vector, that is, in the direction of −∇f(x). Let θ be the angle between ∇f(x) and unit vector u. Then Du f = |∇f| cos θ _________ . Since the minimum value of cos θ _________ is -1 ________ occurring, for 0 ≤ θ < 2π, when θ = ________ , the minimum value of Du f is −|∇f|, occurring when the direction of u is the opposite of _______ the direction of ∇f (assuming ∇f is not zero). (b) Use the result of part (a) to find the direction in which the function f(x, y) = x4y − x2y3 decreases fastest at the point (2, −5)._________
Answer:
Step-by-step explanation:
\(\text{Show that a differentiable function f decreases most rapidly at x in the }\)
\(\text{direction opposite the gradient vector, that is, in the direction of}\) \(-\bigtriangledown f(x)\)\(\text{. Let}\ \theta \ \text{be the angle between} \bigtriangledown f(x) \ \text{and unit vector u. Then } D_u f = \mathbf{|\bigtriangledown f| \ cos \ \theta }}\)
\(\text{Since the minimum value of} \ \ \mathbf{cos \ \theta} \ \ is \mathbf{-1} \ \text{occuring \ for \ 0} \le \ \theta \ < 2x, \\ \\ when \ \theta = \mathbf{\pi} , \text{the mnimum value of} \ D_uf \ is} -|\bigtriangledown f|, \text{occuring when the direction of u is } \\ \\ \ \mathbf{the \ opposite \ of} \ \text{the direction of } \ \bigtriangledown f (assuming \ \bigtriangledown f\ is \ not \ zero)\)
b) \(\text{From part A:}\)
\(If \ f(x,y) = x^4y -x^2y^2 \ \ decreases \ fastest \ at \ the \point \ (2,-5)\\ \\ F(x,y) = x^4y -x^2y^3 \\ \\ f_x = \dfrac{df}{dx}= \dfrac{d}{dx}(x^4y-x^2y^3) \\ \\ f_x = \dfrac{df}{dx}= y4x^3 -2y^3x \\ \\ For(2,-5) \\ \\ f_x = (-5)4(2)^3 -2(-5)^3(2) \\ \\ \mathbf{ f_x = 340}\)
\(However; f_y = \dfrac{df}{dy} = \dfrac{d}{dy}(x^4y - x^2y^3) \\ \\ f_y = x^4 -3x^2y^2 \\ \\ Now, for (2, -5)\\ \\f_y = (2)^4 -3(2)^2(-5)^2 \\ \\ f_y = -284\)
\(So; \bigtriangledown = < 340,-284> \text{this is the direction of fastest decrease}\)
A team can spend no more than $300 on shirts. The team has already spent $80. How many shirts for $15 each can they still buy? Question 1 Part A What inequality represents this situation? Drag a numbers or symbol into each box to correctly complete the inequality.
80 + 15x ≤ 300 is the inequality represents this situation and the team can buy 14 shirts.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that a team can spend no more than $300 on shirts.
The team has already spent $80
We need to find the number of shirts for $15 each can still buy.
80 + 15x ≤ 300
$80 that is already spent + $15x ≤ $300 maximum
x = number of shirts
15x ≤ 300-80
$300 - 80 = $220
15x ≤ 220
Divide 220 by 15
220/15=14.6
So 14 shirts she can buy and
Hence, 80 + 15x ≤ 300 is the inequality represents this situation and the team can buy 14 shirts.
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PLEASE HELP
Does anybody remember that game people used to play as kids on the computers. When I was in 1st grade there would be this game where I placed like a number or something and then a circle or stuff would be drawn. If you know that game pls tell me.
Answer:
ABC ya?
Step-by-step explanation:
I think its in a minigame
Hurry Plz!!
Geneva was given a division equation and asked to place the decimal point in the
quotient to make the number sentence true. Geneva's answer is shown below.
358.584 : 8.92
4.02
Do you agree with Geneva's placement of the decimal point? Use mental math
and the division algorithm to support your answer.
Answer:
I disagree because the decimal point in the wrong place. 40.2
Step-by-step explanation: