Answer:
35.9 bottles
Step-by-step explanation:
25.4 oz ÷ 9 oz = 2,78 people that drink from 1 bottle
100 people ÷ 2,78 = 35,9 bottles
f(x) = –22 + 10x – 2
Find f(-5)
how do i work this out.
write 600 as the product of prime factors. Give your answer in index form
Solve |2x – 3| = 4x Question 18 options: A) x = 1∕2 B) x = –3∕2 or x = 1∕2 C) x = –3∕2 D) No solutions
Answer:
A
Step-by-step explanation:
If x>3/2, 2x-3>0(2x-3)=4x, x=-3/2 which isn't possible as x>3/2
If x<3/2, 2x-3<0-(2x-3)=4x, x=1/2.
Hence the answer is x=1/2
If a square shaped lot measures 200’ on one side, what is the square footage of the lot
Answer:
40,000 ft²
Step-by-step explanation:
area = 200 ft * 200 ft = 40,000 ft²
can someone help with this please i am bad at math
Answer:
12 dollars
Step-by-step explanation:
we know 25 shirts cost 300 dollar
so if 25 shirts --> 300
1 shirt --> 300/25
1 shirt = 12 dollars
Answer:
12 is the answer :l
Step-by-step explanation:
Please help me!! Find the distance between points (-7,-4) and (-2,0)
Answer:
This is odd since the answer is 9 units. The best option would most likely be D since that is the closet answer. Unless it tells you to round i would go with D.
Step-by-step explanation:
The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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Which of the following correctly defines a population parameter?
A. a characteristic of the population
B. the difference between the maximum and minimum value of a sample
C. the difference between the maximum and minimum value of the population
D. a characteristic of a sample
The correct answer is A. a characteristic of the population.
A population parameter refers to a specific characteristic
A population parameter refers to a specific characteristic or numerical value that describes the entire population being studied. It is a fixed value that is typically unknown and estimated using sample data. Examples of population parameters include the population mean, population standard deviation, population proportion, etc.
mathsdfsdfsfsffdsdfsdfsdfsdf
Answer:
match this shhshdgdhrysnsgaybsvsgisjsvfsmathdksjdbmathshshshbebdmsthsguysgay I just
What linear equation represents the graph of a horizontal line, parallel to the Z-axis, that travels through the point (0,4)? Use the grid or a piece of paper if needed.
Problem
What linear equation represents the graph of a horizontal line, parallel to the Z-axis, that travels through the point (0,4)? Use the grid or a piece of paper if needed.
Solution
for this case the general equation of a plane is given by:
A(x-xo) + B(y-yo) + C(z-zo)=0
C=0 for this case
A(x-xo) + B(y-yo) =0
And for this case one possible answer would be:
y=4
825 use each digit once. make the smallest 3digit number
Step-by-step explanation:
Given: To make smallest 3-digit number of 825.
To find: The smallest 3-digit number of 825.
Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...
Final answer: The smallest 3-digit number of 825 is 258.
hope it helps
Answer:
258
Step-by-step explanation:
We are given 3 numbers:
8 2 5
And we are asked to find the smallest 3 digit number using those 3 digits above.
To make the smallest number, place the numbers in value from least to greatest:
2 5 8
This is your 3 digit number: 258.
Hope this helps! :)
If all real numbers satisfy the inequality, select all real numbers. If no real numbers satisfies the inequality, select no solution.
how can you tell if it's all real numbers or if no real numbers.
The solution to the inequality is x >= -2 for inequality 3x-5≥-11
The given inequality is 3x-5≥-11
Three times of x greater than or equal to minus eleven
x is the variable
3x - 5≥ -11:
Adding 5 to both sides, we get:
3x ≥ -6
Dividing both sides by 3, we get:
solution is x≥-2
Therefore, the solution to the inequality is x >= -2.
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Solve the equation a = m - n for the variable n.
Answer:
n = m - a
Step-by-step explanation:
a = m - n
add n to both sides of the equation
a + n = m - n + n
a + n = m
subtract a from both sides of the equation
a - a + n = m - a
n = m - a
Answer:
n = a - m
Step-by-step explanation:
a = m - n
a - m = n
7. Are the two triangles similar? How do you know? I need this answered quick plz
Answer:
Yes, by the angle angle rule.
Step-by-step explanation:
In the first triangle,
m<C=60 degrees, and m< D=53 degrees. You know that the sum of angles in a triangle add up to 180 degrees, so solve for E. m<E= 67 degrees.
In the second triangle,
m<F=60 degrees and m<H=67 degrees.
Since both triangle have two congruent angles, you can say that the two triangles are similiar by the AA rule.
Both triangle CDE and triangle FGH are similar to each other.
Similar figures
Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. All the corresponding angles of similar figures are congruent.
∠C + ∠D + ∠E = 180° (angles in a triangle)
60 + 53 + ∠E = 180
∠E = 67°
∠C = ∠F, ∠D = ∠G, ∠E = ∠H, hence both triangles are similar.
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Roses are sold for $19.80 per dozen. To the nearest cent, what is the price per rose?
Answer: $1.65
Step-by-step explanation: 19.80 / 12 = 1.65
Answer:
20
Step-by-step explanation:
8 is near to 10 so +1
3/4
cup of cereal is one serving.
How many servings are in 1 cup of cereal?
Number sentence:
Answer:
1.25 serving(s)?
Step-by-step explanation:
3/4 is a serving yes?
if you add the 1/4, than you get a cup getting 1 1/4 a serving
i changed the 1/4 to .25 because it makes more sense
An animal shelter has 1008 cats, dogs and rabbits. The ratio of the number of dogs to the number of cats in the animal shelter is 3:7. The ratio of the number rabbits to the number of dogs is 2:5. How many rabbits are in the shelter
There are 108 rabbits in the shelter.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
An animal shelter has 1008 cats, dogs and rabbits.
And, The ratio of the number of dogs to the number of cats in the animal shelter is 3 : 7. The ratio of the number rabbits to the number of dogs is 2 : 5.
Here, The ratio of the number of dogs to the number of cats in the animal shelter is 3:7. The ratio of the number rabbits to the number of dogs is 2:5.
So, We can formulate;
Number of dogs : Number of cats = 3 : 7
Number of rabbits : Number of dogs = 2 : 5
Hence, We get;
Number of rabbits : Number of dogs : Number of cats = 6 : 15 : 35
Since, An animal shelter has 1008 cats, dogs and rabbits.
Hence, We get;
⇒ 6x + 15x + 35x = 1008
⇒ 56x = 1008
⇒ x = 18
Thus, Number of rabbits = 6x
= 6 × 18
= 108
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Which expression can be used to convert 100 USD to Japanese yen?
Answer:
The expression that would be most useful in converting $100 to Japanese Yen is 100 ( 99.30487 Yen / 1)
You can use direct proportion to solve this:
If $1 is to Y99.30487 then what will $100 be equal to:
1 : 99.30487 Yen
100 : x
Cross multiply to get:
1x = 99.30487 Yen x 100
x = (99.30487 Yen x 100) / 1
Which can be written as:
= 100 ( 99.30487 Yen / 1)
In conclusion, the most useful expression to convert $100 to Yen is 100 (99.30487 Yen / 1)
Step-by-step explanation:
A group of 10 people is choosing a chairperson and vice-chairperson. They put all 10 people's names into a hat. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and vice-chair are there?
Answer:
45
Step-by-step explanation:
\(_{10} C_{2}\) = (10!) ÷(8!) (10-8)!
(10 × 9)÷2 = 45
Answer: 100
Step-by-step explanation:
10 people
2 chairs 1 chair 1 vice chair
10*10=100 different combinations
Use the distributive property to remove the parentheses.
-2(-2x+4w-1)
HELP!!
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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Consider the function f(x,y) = 1 -|xy| and the following theorems.
a) Is f continuous at (0,0)?
b) If possible, evaluate fx(0,0) and fy (0,0).
c) Is f differentiable at (0,0)?
d) Determine whether fx and fy are continuous at (0,0).
e) Explain why the theorems below are consistent with the results found in parts a through d.
1. Suppose f has partial derivatives fx and fy defined on an open set (a,b), with fx and fy continuous at (a,b). Then f is differentiable at (a,b).
2. If a function f is differentiable at (a,b), then it is continuous at (a,b).
a) f(x, y) is continuous at (0, 0).
b) fx(0, 0) = -0 = 0
fy(0, 0) = -0 = 0
c) f(x, y) is differentiable at (0, 0).
d) fx and fy are continuous at (0, 0).
e) The theorems mentioned are consistent with the results found in parts a through d.
The theorems support the results obtained in parts a through d, confirming that f(x, y) = 1 - |xy| is continuous and differentiable at (0, 0), and both partial derivatives fx and fy are continuous at (0, 0).
a) To determine if the function f(x, y) = 1 - |xy| is continuous at (0, 0), we need to check if the limit of f(x, y) as (x, y) approaches (0, 0) exists and is equal to f(0, 0).
Let's evaluate the limit:
lim (x,y)→(0,0) (1 - |xy|)
Approaching (0, 0) along the x-axis, y = 0, and the function becomes:
lim x→0 (1 - |x * 0|)
lim x→0 (1 - 0)
1
Approaching (0, 0) along the y-axis, x = 0, and the function becomes:
lim y→0 (1 - |0 * y|)
lim y→0 (1 - 0)
1
Since the limit is 1 from both directions and f(0, 0) = 1, the limit exists and is equal to the function value.
b) To evaluate the partial derivatives fx(0, 0) and fy(0, 0), we calculate the derivatives with respect to x and y, respectively:
fx(x, y) = d/dx (1 - |xy|) = 0 - d/dx |xy|
= -y
fy(x, y) = d/dy (1 - |xy|) = 0 - d/dy |xy|
= -x
Substituting (0, 0) into these derivatives:
fx(0, 0) = -0 = 0
fy(0, 0) = -0 = 0
c) To determine if f(x, y) is differentiable at (0, 0), we need to check if both partial derivatives exist and are continuous at (0, 0).
In this case, fx(x, y) = -y and fy(x, y) = -x are both continuous at (0, 0) because they are constant functions.
d) Since fx(0, 0) = 0 and fy(0, 0) = 0, both partial derivatives are continuous at (0, 0).
1. The function f has partial derivatives fx and fy defined on an open set (a, b) and fx and fy are continuous at (a, b). In our case, (a, b) is (0, 0), and fx(0, 0) = 0 and fy(0, 0) = 0 are continuous. Therefore, according to the theorem, f is differentiable at (0, 0).
2. The function f is differentiable at (a, b) implies that it is continuous at (a, b). In our case, we have shown that f is differentiable at (0, 0), and since differentiability implies continuity, f is also continuous at (0, 0).
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Find the slope of the tangent line to the curve defined by 4x2+5xy+y4=370
at the point (−9,−1)
Answer:
The slope of the tangent line to the curve at the given point is -11/7.
Step-by-step explanation:
Differentiation is an algebraic process that finds the gradient (slope) of a curve. At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.
Given function:
\(4x^2+5xy+y^4=370\)
To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.
Begin by placing d/dx in front of each term of the equation:
\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)
Differentiate the terms in x only (and constant terms):
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)
Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Use the product rule to differentiate terms in both x and y.
\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)
\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:
\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)
To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)
Therefore, slope of the tangent line to the curve at the given point is -11/7.
On a map, 1 inch equals 20 miles. If two cities are 3 inches apart on the map, how far are they actually apart?
Answer: 60 miles
Step-by-step explanation:
1 in. times 3 = 3 in
20 mi times 3 = 60 mi.
Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
solve 3(x+4)-11=28 please
Answer:
\(\huge\boxed{\sf x = 9}\)
Step-by-step explanation:
Given equation:3(x + 4) - 11 = 28
Add 28 to both sides3(x + 4) = 28 + 11
3(x + 4) = 39
Distribute3x + 12 = 39
Subtract 12 from both sides3x = 39 - 12
3x = 27
Divide both sides by 3x = 27/3
x = 9\(\rule[225]{225}{2}\)
lost on this a little
Answer:
the answer would be 7/5
Step-by-step explanation:
2 of them would already make a whole, and if you add another one, it's going to be more than just one pitcher of lemonade.
Convert 16 feet into meters using the conversion factor 1 meter = 3 feet
Answer:hi
Step-by-step explanation:
16 feet is equal to 5.33 meters when using the conversion factor 1 meter = 3 feet.
To convert 16 feet into meters using the conversion factor 1 meter = 3 feet, you can follow these steps:
Start with the given value in feet, which is 16 feet.
Apply the conversion factor of 1 meter = 3 feet.
Set up the conversion factor as a fraction, with meters in the numerator and feet in the denominator:
(16 feet) × (1 meter/3 feet)
Multiply the given value (16 feet) by the conversion factor:
(16 feet) × (1 meter/3 feet)
= (16/3) meters
Simplify the fraction:
16/3 meters = 5.33 meters (rounded to two decimal places)
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Please help me with this problem
Answer:
this better be a joke because what kind of teacher actually uses this
Step-by-step explanation:
the following represents the probability distribution for the daily demand of computers at a local store. demand probability 0 0.1 1 0.2 2 0.2 3 0.3 4 0.311. Refer to Exhibit 6. The probability of having a demand for at least two microcomputers is a. 1.0 b. 0.4 c. 0.7 d. 0.3 12. Refer to Exhibit 6. The expected daily demand is a. 4 b. 2.2 c. 1.0 d. 2 13· The assembly time for a product is uniformly distributed between 6 to 10 minutes. The probability density function has what value in the interval between 6 and 10? a. 4.00 b. zero c. 5.00 d. 0.25 14. An experiment consists of making 100 telephone calls in order to sell a particular insurance policy. The random variable in this experiment is the number of sales made. This random variable is a a. continuous random variable b. discrete random variable c. complex random variable d. None of the answers is correct
The probability of having a demand for at least two microcomputers is 0.7 that is option C is correct.
This probability is the sum of the probabilities of demand equal to 2, 3, and 4 (0.2 + 0.3 + 0.4 = 0.7).
The expected daily demand is 2.2, which is calculated as follows:
E(demand) = ∑x * P(demand = x)
= (0 * 0.1) + (1 * 0.2) + (2 * 0.2) + (3 * 0.3) + (4 * 0.3)
= 2.2
The probability density function has a value of 0.25 in the interval between 6 and 10. This is because the probability density function of a uniformly distributed random variable is constant over the range of possible values, and the range in this case is from 6 to 10 minutes. The probability density function is calculated as 1/(upper bound - lower bound) = 1/(10 - 6) = 0.25.
The random variable in this experiment is a discrete random variable, because it can take on only a finite number of values (0, 1, 2, 3, ...).
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