The middle school is holding a food drive for a local food pantry. If each student commits to bringing 9 cans of food, write an expression for the total number of cans for an unknown number of students, s
The expression for the total number of cans of food would be: 9s
Define the term variable?A variable is a symbol or letter that denotes a possible range of values or quantities. It is used to express relationships between numbers and to solve equations and problems, and is typically represented by a letter like x, y, or z.
A variable's value can be determined by its context of use or by resolving an inequality or equation that it appears in. Variables are frequently used in algebra to represent unknowns or to simplify challenging formulas.
Let's use the variable "s" to represent the number of students participating in the food drive.
Then, the expression for total number of cans of food would be: 9s
This is because each student is committing to bringing 9 cans of food, so if there are "s" students participating, then the total number of cans of food would be 9 times the number of students (9s).
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A student graphs the function f (x) = 2(4)* using a graphing calculator. The student then replaces the 2 in the equation with an 8.
Which best describes the change the student sees when graphing the new function?
O The graph of the new function will be vertically shifted up 4 units when compared to the previously graphed function.
O The graph of the new function will be vertically shifted up 6 units when compared to the previously graphed function.
O The graph of the new function will be vertically stretched by a factor of 4 when compared to the previously graphed function.
O The graph of the new function will be vertically stretched by a factor of 6 when compared to the previously graphed function.
The equation will be changed into = f(x)= 32
What are equations?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
A statement is not an equation if it has no "equal to" sign.
A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.
Hence, The equation will be changed into = f(x)= 32
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Let W be the region bounded by the cylinders z= 1-y^2 and y=x^2, and the planes z=0 and y=1 . Calculate the volume of W as a triple integral in the three orders dzdydx, dxdzdy, and dydzdx.Im having trouble figuring out my parameters for which i am integrating. I do understand however that i should get the same volume for all three orders since the orders don't matter.
The order of integration does not affect the final answer, but may affect the complexity of the integrals.
To calculate the volume of the region W using triple integrals, we need to determine the bounds for each variable.
First, we can see that the planes z=0 and y=1 bound the region in the z and y directions, respectively.
Next, to find the bounds for x, we need to find the intersection of the two cylinders. Solving for y in the equation \(z=1-y^2\), we get y = ±sqrt(1-z). Substituting this into the equation \(y=x^2\), we get \(x^2\) = ±sqrt(1-z), or x = ±sqrt(sqrt(1-z)). So the bounds for x are -sqrt(sqrt(1-z)) to sqrt(sqrt(1-z)).
Now we can set up the triple integrals in the three orders:
Note that the order of integration does not affect the final answer, but may affect the complexity of the integrals.
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Expand and simplify (2x + 5)2
Answer: 4x +10
Step-by-step explanation:
you just need to multiply the inside of the brackets by the outside so 2x x 2 = 4x and 5 x 2 = 10
Need po ang answers ASAP nganong po exam namin
Give the opposite of each given interger
-56
-340
+39
+201
+1124
Identify what solid figure is being formed by combining the following plain figures
Six squares
Four rectangles and two squares
One rectangle and two circle
Eight triangles
One square and four triangles
Help with this trying to get extra credit
Answer: 21 is the range
Step-by-step explanation: You keep asking questions about things like this so I deliver
Range is the Largest number and then subtract it by the smallest number, the largest is 44 and smallest is 23 so 44 - 23 is 21
Señor Ochoa is planting a garden in the corner of his yard. Before he does any planting, however, he wants to make a
scale drawing showing where he wants each vegetable and fruit to go. So far, he has drawn the perimeter of his garden.
The actual length of the vertical and horizontal legs of his triangular garden is 3 meters.
6 cm
6 cm
8. 5 cm
After making his drawing, he decides that his scale is way too small. Instead, he wants the vertical and horizontal legs of
the triangle on his drawing to be 18 centimeters. Make a new scale drawing with the new dimensions of the scale
drawing. Make sure to label all three sides of the garden and include the new scale.
Señor Ochoa draws the perimeter of the garden with actual length of the vertical and horizontal legs of his triangular garden 3 meters as 6cm in his initial drawing with 18.5cm third side. Then new drawing with the vertical and horizontal legs of 18 cm
A scale drawing is a representation of an object or space that is reduced or enlarged in proportion to the actual size. To make a new scale drawing of Señor Ochoa's garden with the new dimensions of 18 centimeters for the vertical and horizontal legs of the triangle, you would need to apply a scale factor of 18/6 = 3 to the original drawing.
So, you would multiply each original dimension by 3 to get the new dimensions for the scale drawing.
The new scale drawing would be:
6cm × 3 = 18cm
6cm × 3 = 18cm
8.5cm × 3 = 25.5cm
The new scale is
= scale dimension/ original dimension
= 18cm/ 3m
= 18cm/ 300cm
= 3/ 50
It is also worth noting that as you are changing the scale, the measurement of the hypotenuse of the triangle would be affected, which is the square root of 3 meters, that would be approximately 25.5cm, which is the same as the original measurement on the original drawing.
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using the squeeze theorem to find the limit of (xy^4)/(x^4 y^4)
The limit of (xy⁴)/(x⁴y⁴) is 0.
The limit squeeze theorem (also known as sandwich theorem) states that if a function f(x) lies between two functions g(x) and h(x) and the limits of each of g(x) and h(x) at a particular point are equal (to L), then the limit of f(x) at that point is also equal to L. This looks something like what we know already in algebra. If a ≤ b ≤ c and a = c then b is also equal to c. The squeeze theorem says that this rule applies to limits as well. We define the squeeze theorem mathematically as follows:
"Let f(x), g(x), and h(x) are three functions that are defined over an interval I such that g(x) ≤ f(x) ≤ h(x) and suppose lim ₓ → ₐ g(x) = lim ₓ → ₐ h(x) = L, then lim ₓ → ₐ f(x) = L".
Here:
The function f lies between g and h and hence they are lower and upper bounds of f respectively.
'a' doesn't necessarily need to be within I.
We have to find the limit of (xy⁴)/(x⁴y⁴).
After applying the limit squeeze theorem, we get
\(\lim_{x \to \infty} \frac{xy^{4} }{x^{4}y^{4} }\\ = \lim_{x \to \infty} \frac{1}{x^{3} } \\= 0\)
Thus, the limit of (xy⁴)/(x⁴y⁴) is 0.
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What is the difference quotient for the function f (x) = negative startfraction 1 over 5 x minus 12 endfraction?
The difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .
According to the given question.
We have a function
f(x) = -1/(5x -12)
As we know that, the difference quotient is a measure of the average rate of change of the function over and interval.
The difference quotient formula of the function y = f(x) is
[f(x + h) - f(x)]/h
Where,
f(x + h) is obtained by replacing x by x + h in f(x)
f(x) is a actual function.
Therefore, the difference quotient formual for the given function f(x)
= [f(x + h) - f(x)]/h
= \(\frac{\frac{-1}{5(x+h)-12} -\frac{-1}{5x-12} }{h}\)
= \(\frac{\frac{-1}{5x + 5h -12}+\frac{1}{5x-12} }{h}\)
= \(\frac{\frac{-1+5h}{5x + 5h-12} }{h}\)
= \(\frac{-1+5h}{(5x +h-12)(h)}\)
= \(\frac{-1+5h}{5xh + h^{2} -12h}\)
= \(\frac{h(-\frac{1}{h}+5) }{h(5x+h-12)}\)
= \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\)
Hence, the difference quotient of f(x) is \(\frac{-\frac{1}{h}+ 5}{5x+ h -12}\) .
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What is the volume of the prism?
Answer:
Step-by-step explanation:
you got this i believe in you!
Explain how to add 5.3 + 9.079
Answer:
14.379
Step-by-step explanation:
1. Line up from left to right
2. Make sure that the decimals are lined up
3. Add the thousandths and hundredths with 0
4. Add 3 in the tenths place
5. Add up 9 and 5 to make 14
*IF YOU DID THE STEPS RIGHT, THEN YOU SHOULD HAVE 14.379 AS YOUR ANSWER*
Answer:
9.079
+5.300
_______
14.379
Step-by-step explanation:
Just line the decimals up and add zeros for 5.3 to 5.300 because you can't do 9.079
+5.3 because your decimal will be in the wrong spot and your answer will come out wrong
Calculate the expected time for the following activities. Please
provide formulas and key for all variables.
The expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Therefore, the expected time for these activities is 2.8 hours.
To calculate the expected time for activities, we can use the formula for expected value.
The expected value is calculated by multiplying the time for each activity by its probability of occurrence, and then summing up these values. The formula for expected value is: Expected Value = (Time1 * Probability1) + (Time2 * Probability2) + ... + (TimeN * ProbabilityN) Here's a step-by-step example:
1. List all the activities and their corresponding times and probabilities.
2. Multiply the time for each activity by its probability.
3. Sum up the values obtained in step 2.
For example, let's say we have two activities: Activity 1: Time = 2 hours, Probability = 0.6 Activity 2: Time = 4 hours, Probability = 0.4 Using the formula, we calculate the expected time as follows: Expected Time = (2 hours * 0.6) + (4 hours * 0.4) = 1.2 hours + 1.6 hours = 2.8 hours
Therefore, the expected time for these activities is 2.8 hours.
Here full question is not provided but the full answer given above.
Remember, this is just one example, and you can use the same formula for any number of activities with their respective times and probabilities. In summary, to calculate the expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Then, sum up these values to get the expected time.
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Convert
[−1,∞) to inequality notation use the variable x.
Answer:
\(-1\leq x<\infty\)
Step-by-step explanation:
We want to convert the interval [-1, ∞) to inequality notation using x as the variable.
The interval [-1, ∞) reads: "All real numbers between -1 and positive infinity."
In other words, it is all numbers greater than or equal to -1 and less than positive infinity.
Therefore:
\(-1\leq x<\infty\)
Note that we do not use "or equal to" for the infinity as we can never really "equal" infinity.
Pleasee help(GIVING BRAINILEST) Tyra's family is spending the afternoon in Millersville. They plan to see a movie and then explore the town. The movie will cost the family $36, and parking costs $4 per hour.
How long will the family be able to spend in Millersville if they want to spend less than $60 and they don’t have any other expenses?
Follow the steps to answer this question.
1. Write an inequality that shows that Tyra's family spends less than their limit. Explain how you wrote the inequality, and define any variables used. (2 pts)
Write your answer in the space below.
2. Solve your inequality. Show your work. What does your solution mean? (3 pts)
Write your answer in the space below.
Answer: 36+4h=60
36+4h-36=60-36
4h=24
4h÷4=24÷4
h=6
So, after the move they can spend 6 hours there. (6×4=24, 24+36=60, they will spend $60 if they spend 6 hours there, $56 if they spend 5 hours there and don't want to spend $60).
Step-by-step explanation:
interval notation \ 1,3 rangle represents the set of real numbers between and includingbut not /option 2 : 3 ,1 ,0 option 3 :3 ,1 ,0 option 4 :0 .1 .3.
Given:
The interval notation is,
\([1,3)\)Required:
To fill the blanks.
Explanation:
The interval notation [1,3) represents the set of real numbers between 1 and 3, including 1 but not 3.
Final Answer:
The interval notation [1,3) represents the set of real numbers between 1 and 3, including 1 but not 3.
answer please i will brainly
Answer:
Brainly me please
Step-by-step explanation:
Choice 3, a = 1, b = 4, c = 5
could someone please help me with this??
Answer:
no later
Step-by-step explanation:
i am sooooooooooooooooooo busy pls i am pooping but no water come
Find X to this problem.
Point C is tangent to the circle and will be a right angle which is 90 degrees.
The three inside angles of a triangle need to equal 180.
X = 180-90-64 = 26
X = 26 degrees
dilations please help
Answer:
C'(2, 1 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin then multiply the coordinates of C by \(\frac{1}{3}\) , that is
C(6, 3 ) → C'( \(\frac{1}{3}\) (6), \(\frac{1}{3}\) (3) ) → C'(2, 1 )
What number goes in the
missing space?
PLEASE HELP WILL MARK BRAINLIEST
Which is the solution to the inequality?
2 and three-fifths less-than b minus StartFraction 8 over 15 EndFraction
A. b less-than 2 and StartFraction 1 over 15 EndFraction
B. b greater-than 2 and StartFraction 1 over 15 EndFraction
C. b less-than 3 and StartFraction 2 over 15 EndFraction
D. b greater-than 3 and StartFraction 2 over 15 EndFraction
Answer: Choice D
b greater-than 3 and StartFraction 2 over 15 EndFraction
In other words,
b > 3 & 2/15
or
\(b > 3\frac{2}{15}\\\\\)
========================================================
Explanation:
Let's convert the mixed number 2 & 3/5 into an improper fraction.
We'll use the rule
a & b/c = (a*c + b)/c
In this case, a = 2, b = 3, c = 5
So,
a & b/c = (a*c + b)/c
2 & 3/5 = (2*5 + 3)/5
2 & 3/5 = (10 + 3)/5
2 & 3/5 = 13/5
The inequality \(2 \frac{3}{5} < b - \frac{8}{15}\\\\\) is the same as \(\frac{13}{5} < b - \frac{8}{15}\\\\\)
---------------------
Let's multiply both sides by 15 to clear out the fractions
\(\frac{13}{5} < b - \frac{8}{15}\\\\15*\frac{13}{5} < 15*\left(b - \frac{8}{15}\right)\\\\39 < 15b-8\\\\\)
---------------------
Now isolate the variable b
\(39 < 15b-8\\\\15b-8 > 39\\\\15b > 39+8\\\\15b > 47\\\\b > \frac{47}{15}\\\\b > \frac{45+2}{15}\\\\b > \frac{45}{15}+\frac{2}{15}\\\\b > 3+\frac{2}{15}\\\\b > 3\frac{2}{15}\\\\\)
Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how
47/15 = 3 remainder 2
The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.
Select the word that best completes the sentence.
Maya is asked to solve the equation 2(3x + 6) = 3(x - 10). The table shows her steps.
Given
2(3x + 6) - 3(x - 10)
Step 1
6x + 12 = 3(x - 10)
Step 2 6x + 12 - 3x + 30
Step 3 3x + 12 - 30
Step 4 3x - 18
Step 5 x = 6
Complete the sentence.
Maya made a mistake
between _____ Step 1 and Step 2. A. Adding B. Distributing C. Dividing D. Subtracting
Answer:
B
Step-by-step explanation:
susuusjakaajjajajajaajajaj
You and your friends decide to rent some studio time to make a CD. Big Notes Studio rents for $100 plus $60 per hour. Great Sounds Studio rents for $25 plus $80 per hour. Determine the number of hours for which the cost of 1 Step renting the studios is the same. Work needs to be showed btw
The solution is found by slope of the graph and the solution is 2,200.
Let x the amount of money per hour and y the total amount of money.
Studio A:-
Rents for 100 dollars plus 50 dollars per hour.
\(y= 100 + 50x\)
So the slope is 50 and the y intercept is 100.
Studio B:-
rents for 50 dollars plus 75 dollars per hour.
\(y= 50 + 75x\)
So the slope is 75 and the y intercept is 50.
ThrTh solution is 2200 , see the gragraphph.
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Complete question:- You and your friends decide to rent some studio time to make a CD. Big Notes Studio rents for $100 plus $50 per hour. Great Sounds Studio rents for $50 plus $75 per hour. Solve the system by graphic method.
What happens when a base dissolves?
Answer:
When dissolved, bases release hydroxide ions, OH-(aq) into solution.
Step-by-step explanation:
Water is the product of an acid and base reacting. Chemists say that the acid and base cancel or neutralise each other, hence the reaction is known as "neutralisation"
Answer: It increases the concentration of OH- in solution.
Step-by-step explanation:
what is the volume of a cylinder with a length of 6 inches and a width of 5 inches?
Help me please please
Answer:
C: (12,4)
Step-by-step explanation:
We can find the slope of the line with "rise over run"
The pattern is 1 unit up, 3 units to the right
By following this pattern from point (9,3),
we go 1 unit up on the y axis, moving (9,3) to (9,4)
Next we move 3 units right on the x-axis,
moving (9,4) to (12,4)
Answer is (12,4)
Solve the inequality of 5-2t>-4
Answer:
Step-by-step explanation: aaaaaaaaaaaaaaaa
Answer:
Step-by-step explanation:
5 - 2t > -4
- 5 - 5
-2t > -9
___ __
2 2
t = -4.5
Pls mark Brainliest with the crown
a 60kg person climbs stairs of total height of 20m in two minutes calculate the power delivered [g = 10ms^2].
Answer:
she's I'll ccgmf
Step-by-step explanation:
for the next day and night and it was so yitd cash check out j vfkcnc gjjx xh
the picture is the qestion
Choose True or False for each equation for x = 6.
1 = False (6x6 = 36)
2 = True ( 6 + 5 = 11)
3 = True ( 6/2 = 3)
4 = True (17 - 6 = 11)
Answer:
false
true
true
true
Step-by-step explanation: