Answer:
10 1/3
Step-by-step explanation:
Convert mixed numbers into improper fractions (whole number × denominator + numerator)
25 2/3 and 15 1/3
25 × 3 + 2 = 75 + 2 = 77
Put the number over the same denominator
77/3
15 × 3 + 1 = 45 + 1 = 46
Put the number over the same denominator
46/3
77/3 - 46/3
They have common denominators so we can simply subtract the numerator values
77 - 46/3
31/3
To convert it back to a whole number, find how many times 3 fits into 31 evenly
It fits 10 times evenly with 1 remainding which looks like:
10 1/3
The total length of these planks is 92 metres. Work out the number of planks of length 2 metres in Ben workshop.
Answer: 13
Step-by-step explanation:
Please answer the question in the photo
Answer: Your answer is C.
Step-by-step explanation: The number 35 is an irrational number because it can’t be expressed as a ratio. And the other are a bit confusing for me to explain why your answer is C but I’m very positive that your answer is C
Jerry and Jenny are setting up a lemonade stand
They have 180 cups of lemonade to sell
WILL GIVE BRAINLY! HELP PLEASE!They soll 1/5 of the lemonade on the way to the stand
Then they sold 75% of the remanng lemonade
They porked up the left over emonade out on the way back into
they were carrying
Answer:
12
Step-by-step explanation:
Step 1:
They spilt 1/5 on the way to the lemonade stand.
180 x 1/5
= 180/5
= 36
So they spilt 36 cups of lemonade on the way to the stand.
Number of cups left = 180 - 36
= 144
Step 2:
They sold 75% of 144 cups of lemonade
75/100 x 144 (divide both 75 and 100 by 25)
= 3/4 x 144 (divide 144 by 4)
= 3 x 36
= 108
So they sold 108 cups of lemonade.
Number of cups left = 144-108
= 36
Step 3:
They spilt 1/3 of 36 cups of lemonade on the way home.
36 x 1/3
= 36/3
= 12
Therefore they brought back 12 cups of lemonade home.
Answer:
A. 12 cups
Step-by-step explanation:
1/5 of 180 is 36
to find 1/5 of something multiply it by 1/5
1/5 * 180 = 36
180 - 36 = 144
they have 144 cups after spilling 1/5
75% of 144 is 108
to find 75% of something is to multiply the number by 0.75
0.75 * 144 = 108
to find the remaining lemonade subtract sold from remaining
144 - 108 = 36
1/3 of 36 is 12
to find 1/3 of something multiply the number by 1/3
1/3 * 36 = 12
12 cups made it to the house
your answer is A.
hope this helps:)
Find the surface area of the cylinder and round to the nearest tenth. (It is recommended that you use the π button on your calculator) (Note: Remember the radius is half of the diameter.)
If you are using a screen-reader, please consult your instructor for assistance.
The surface area of the cylinder is 18.84 square feet
How to determine the surface area?The given parameters are
Height, h = 2 ft
Diameter, d = 2 ft
The radius (r) is half of the diameter (d)
This is calculated as:
Radius = Diameter/2
So, we have:
r = d/2
Substitute 2 for d
r = 2/2
Evaluate the quotient i.e. divide 2 by 1
r = 1
The surface area is then calculated using the following formula
A = 2πr² + 2πrh
Substitute the given values in the above equation
So, we have:
A = 2 * 3.14 * 1^2 + 2 * 3.14 * 1 * 2
Evaluate the exponents
A = 2 * 3.14 * 1 + 2 * 3.14 * 1 * 2
Evaluate the products
A = 6.28 + 12.56
Evaluate the sum
A = 18.84
Hence, the surface area of the cylinder with the given height and radius is 18.84 square feet
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how many cups of granulated sugar in a 5 pound bag
There are approximately 11.25 cups of granulated sugar in a 5 pound bag.
To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.
First, we multiply the number of pounds (5) by the conversion factor:
5 pounds * 2.25 cups/pound = 11.25 cups
Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.
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Ellie needs 24 cups of milk for a large recipe. How many gallons dose she need? pls help
Answer:
she will need 1 1/2 gallons
CAN ANYONE DO IT. PLZ
Answer:
70°Step-by-step explanation:
see image below
Answer:
10 is your answer.
Step-by-step explanation:
pls give me brainlest
Please help me I need to finish this by 6:00 please don't give me a wrong answer!!!!!!
Answer:
No
Step-by-step explanation:
Answer:
Nope
Step-by-step explanation:
If you substitute x with 10 and y with 4, they don't equal 5 and 16.
7: find the domain and range of these functions. (10 pts in total) (a) the function that assigns to each pair of nonnegative integers the first integer of the pair. (b) the function that assigns to each positive integer its largest decimal digit. (c) the function that assigns to a bit string the number of ones minus the number of zeroes in the string. (d) the function that assigns to each positive integer the largest integer not exceeding the square root of the integer. (e) the function that assigns to a bit string the longest string of ones in the string. 7
a) The domain of the function is {0,1,2,3,4,...}. The range is also a non-negative integer.
b) The largest decimal digit is 9, thus the domain of the function is all positive integers and the range is {9}.
c) The domain of the function is all bit strings of length n and the range is all integers between -n and n.
d) The domain of the function is all positive integers and the range is also all positive integers.
e) The domain of the function is all bit strings and the range is a non-negative integer.
Domain and range of the function that assigns to each pair of non-negative integers the first integer of the pair.In the given problem, (a) the function that assigns to each pair of non-negative integers the first integer of the pair. The first integer of the pair is always non-negative. Therefore, the domain of the function is {0,1,2,3,4,...}. The range is also a non-negative integer.
Domain and range of the function that assigns to each positive integer its largest decimal digit. In this problem, (b) the function that assigns to each positive integer its largest decimal digit. For all positive integers, the largest decimal digit is 9, thus the domain of the function is all positive integers and the range is {9}.
Domain and range of the function that assigns to a bit string the number of ones minus the number of zeroes in the string.In the problem, the function that assigns to a bit string the number of ones minus the number of zeroes in the string. The possible bit strings have a length of n. Therefore, the domain of the function is all bit strings of length n and the range is all integers between -n and n.
Domain and range of the function that assigns to each positive integer the largest integer not exceeding the square root of the integer.In the given problem, the function that assigns to each positive integer the largest integer not exceeding the square root of the integer. Let’s say f(n) is the largest integer not exceeding the square root of n, then the domain of the function is all positive integers and the range is also all positive integers.
Domain and range of the function that assigns to a bit string the longest string of ones in the string.In the given problem, the function that assigns to a bit string the longest string of ones in the string. In this case, the domain of the function is all bit strings and the range is a non-negative integer.
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Pleas help .. Please help ..
Answer:
B is the correct answer
Answer:
D.
Step-by-step explanation:
7×3 = 21.
t × t = t².
y = y.
21t²y.
hope it helps. :)
Simplify \(\frac{sec(a)-csc(a)}{sec(a)+csc(a)}\)
The simplified version of (sec a - cosec a) / (sec a + cosec a) is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).
What is trigonometry?The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
Given:
(sec a - cosec a) / (sec a + cosec a)
Multiply the numerator and denominator by (sec a - cosec a)
(sec a - cosec a) / (sec a + cosec a) × (sec a - cosec a)
(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)
As we know,
\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)
sec² a cosec² a - 2sec a cosec a / (sec²a - cosec²a)
sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)
cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)
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HELP ITS DUE IN 5 MIN LIKE LITERALLY Find the the solution(s) to the system of f(x) and g(x) graphically. Select the
solution(s) to the system. *
Answer:
I believe it would be the 3rd answer.
Step-by-step explanation:
That answer is the only one where not only do one of the systems have that point but they both do. That is where they intercept. Plus when you fit in the x and y points in the equations they match up. Hope that helps!
The lenth of a rectangle is 6 inches longer than its width. The perimeter of a rectangle is 28 inches. If x represents the width of the rectangle in inches which equation can be used to find its value
Answer:
28-6=w
Step-by-step explanation:
the length of the rectangle is measured as 370mm correct to 2 significant figures.a) what is the upper bound for the length?the width of this rectangle is measured as 19.4mm correct to 1 decimal place.b) what is the lower bound for the area of the rectangle?
Answer:
a) 375
b) 7062.75 mm²
Step-by-step explanation:
b) We need to find the shortest possible width and length to get the smallest possible area.
To get the boundaries for 19.4, we go on to the next significant figure (the hundredths) and ± 5 of them.
The boundaries are, therefore: 19.35 - 19.45
As for the length, we can see they've added 5 units as the measurement is correct to 2 sig' figures, which is the tens.
And so, if we do as we did before, we go to the next sig' figure (the units) and ± 5 of them, we get the boundaries to be 365 - 375.
Now, we just multiply the lower bounds of the length and width to get the minimal/lower-bound area:
365 * 19.35 = 7062.75 mm²
Mhanifa Plz help me with this thank you!
Answer:
D
Step-by-step explanation:
This is an example of the Pythagorean theorem.
In triangle BEH, the sum of the squares of the sides of the two smaller sides, BE and BH is equal to the longest side squared, EH.
Jordan has twenty times as many baseball cards as his brother. His brother has 9 cards. How many cards does Jordan have
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
Because 20x9=180
Please MARK BRAINLEST!!
: A satellite system consists of 4 components and can operate adequately if at least 2 of the 4 components are functional. If each component is, independently, functional with probability 0.6, what is the probability that the system operates adequately
The probability that the satellite system operates adequately is 0.7056.
The probability that a component is not functional is 0.4. Therefore, the probability that a component is functional is 1-0.4=0.6.
Using the rule of combinations, there are 6 possible combinations of functional and non-functional components:
1. All 4 components are functional: (0.6)^4=0.1296
2. 3 components are functional: (0.6)^3(0.4)=0.3456
3. 2 components are functional: (0.6)^2(0.4)^2=0.2304
4. 1 component is functional: (0.6)(0.4)^3=0.0256
5. No components are functional: (0.4)^4=0.0256
6. At least 2 components are functional: P(2 or 3 or 4) = 0.1296 + 0.3456 + 0.2304 = 0.7056
Therefore, the probability that the satellite system operates adequately is 0.7056.
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What are the answer for these questions?
Answer:
1. yes
2. 3
3. 1x
4. y=1x+3 or y=x+3
Step-by-step explanation:
what is the answer for 17-51 163
Answer:
The answer is -51146
Step-by-step explanation:
Just substract simple
The graph of g is a horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the y-axis of the graph of
f(x) = 8x^2-6. Write a rule for g. Then identify the vertex.
The Hessian matrix (H) takes the following form: H = [] With function f(x, y) = (x² − y)(2x² − y) and initial point (æo, yo)= (3, 2.7), what are the elements of the Hessian matrix? - a=127.80, b=-18.00, c--18.00 and d=127.80. a=2, b=-18.00, c=-18.00 and d=127.80. O a=2, b=-18.00, c=127.80 and d=2. O a 199.80, b=-18.00, c=-18.00 and d=2.
The elements of the Hessian matrix for the function f(x, y) = (x² − y)(2x² − y) at the initial point (3, 2.7) are: a=127.80, b=-18.00, c=-18.00, and d=127.80.
The Hessian matrix is a square matrix of second-order partial derivatives. For the given function f(x, y) = (x² − y)(2x² − y), we need to calculate the second-order partial derivatives with respect to x and y and evaluate them at the initial point (3, 2.7).
The Hessian matrix is defined as:H = [[∂²f/∂x², ∂²f/∂x∂y],
[∂²f/∂y∂x, ∂²f/∂y²]]
Taking the partial derivatives of f(x, y) with respect to x and y, we get:
∂f/∂x = 4x³ - 4xy
∂f/∂y = -2x² + 2y
Next, we calculate the second-order partial derivatives:
∂²f/∂x² = 12x² - 4y
∂²f/∂x∂y = -4x
∂²f/∂y∂x = -4x
∂²f/∂y² = 2
Now we substitute the initial point (3, 2.7) into these expressions:
∂²f/∂x² = 12(3)² - 4(2.7) = 108 - 10.8 = 97.2
∂²f/∂x∂y = -4(3) = -12
∂²f/∂y∂x = -4(3) = -12
∂²f/∂y² = 2
Therefore, the elements of the Hessian matrix at the initial point (3, 2.7) are:
H = [[97.2, -12],
[-12, 2]]
So, the correct answer is a=127.80, b=-18.00, c=-18.00, and d=127.80.
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Determine the missing measures for the parallelogram below.
need help on this one
Based on the information in the graph, the angles of the parallelogram would be 68° and 112°, while the length of its sides would be 15 and 8.
How to identify the length and angles of this figure?To identify the length and angles of this figure we must carefully look at the lengths shown and the angles shown. Taking into account the shape of the parallelogram, we can infer that the values that correctly complete the dimensions of the figure are:
A = 112°B = 68°C = 112°basis = 15side = 8This is because the parallelogram has two equal sides and equal bases, so if the upper one measures 15, the lower one must measure the same. Additionally, if the side measures 8 the other side must measure 8. In the case of the angles it would be the same.
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evaluate the expression -(2*4)to the 2nd power/ (-8)
Answer:
-8
Step-by-step explanation:
-(2*4) = 18, 8^2 is equal to 8*8= 64/-8= -8
The real exchange rate of Canada increased by 4.9% relative to US. Observing that Canada's inflation rate is 8.5% while the US inflation rate is 3.8%, what is the change in the nominal exchange rate (in Canada's perspective)? Round your answer to the nearest two decimal place. Write your answer in percentage terms so if your answer is 10%, write 10 .
The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.
Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.
Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada
= 4.9% Inflation of Canada
= 8.5% Inflation of US
= 3.8% Nominal Exchange Rate
= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate
= 4.9% x 1.085 / 1.038 Nominal Exchange Rate
= 5.3099 / 1.038 Nominal Exchange Rate
= 5.11 (rounded to two decimal places)
This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.
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Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 1818 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.140.14 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 12.0212.02 oz and 12.6612.66 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.160.16 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.160.16 oz. Use a 0.010.01 significance level. Complete parts (a) through (d) below.
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.14 oz, and they appear to be from a normally distributed population.
If the workers want the filling process to work so that almost all cans have volumes between 12.02 oz and 12.66 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.16 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.16 oz. Use a 0.01 significance level. Complete parts (a) through (d) below.
a. Identify the null and alternative hypotheses.
b. Compute the test statistic.
c. Find the p-value.
d. State the conclusion.
Answer:
Null hypotheses = H₀: σ = 0.16 oz
Alternate hypotheses = H₁: σ < 0.16 oz
Critical value = 6.408
Chi-square value = \(\chi^2\) = 13.016
Reject H₀ Since \(\chi^2\) > Critical value
Reject H₀ Since p-value ≤ α
We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.
Step-by-step explanation:
Set up hypotheses:
The null hypotheses is that the population of volumes has a standard deviation of 0.16 oz
Null hypotheses = H₀: σ = 0.16 oz
The claim to be tested is that the population of volumes has a standard deviation of less than 0.16 oz
Alternate hypotheses = H₁: σ < 0.16 oz
Determine type of test:
Since the alternate hypothesis states that the population of volumes has a standard deviation of less than 0.16 oz, therefore we will use a lower-tailed chi-square test.
Determine the Critical value:
Given level of significance = 0.01
Since it is a lower-tailed test, the areas given in the chi-square table are the areas to the right of the critical value. To get the areas on the left, subtract it from one, and then look it up
α = 1 - 0.01 = 0.99
degree of freedom = df = n - 1 = 18 - 1 = 17
The critical value from the chi-square table at α = 0.99 and df = 17 is found to be
Critical value = 6.408
Using an online “chi-square p-value calculator”
The left tail p-value for df = 17 and Critical value = 6.408 is found to be
p-value = 0.01
Set up decision rule:
Reject H₀ If > Critical value
We reject the Null hypothesis If the calculated chi-square value is more than the critical value.
OR
Reject H₀ If p-value ≤ α
Compute the test statistic:
\($ \chi^2 = \frac{(n-1) s^2}{\sigma^2} } $\)
\($ \chi^2 = \frac{(18-1) 0.14^2}{0.16^2} } $\)
\(\chi^2 = 13.016\)
Conclusion:
We reject H₀
Since \(\chi^2\) > Critical value
13.016 > 6.408
Also
p-value ≤ α
0.01 ≤ 0.01
We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.
DJ is riding in the passenger seat of a car that is going 40 miles per hour
when it passes Jabari, who is standing on the street. From Jabari's
perspective, how quickly is DJ moving?
A
DJ does not appear to be moving at all.
B. DJ appears to be moving more slowly than the car.
C. DJ appears to be moving more quickly than the car.
D. DJ appears to be moving at the same speed as the car.
Answer: DJ appears to be moving at the same speed as the car
Step-by-step explanation:
DJ is inside of the car, so he moves with it. Jabari is outside of the car and is standing still, so both DJ and the car he is in seems to be moving at 40 miles per hour at the same time
Gisella has 4 pints of chicken broth. She uses 5 cups of the broth to make soup.
How much chicken broth is left?
Answer:
3 cups would be left or 1.5 pints.
Step-by-step explanation:
1 pint is equal to 2 cups.
3x 10'4+ 2.5 x 10’5 =
24 kilograms turned into pounds
Answer:
52.91 pounds
Step-by-step explanation:
Given the relation (0,5) (9,2) (7,1) (6,3) what is the sum of all the elements in the range? Please explain answer.
The sum of all the elements in the range is 11.
We are given that;
(0,5) (9,2) (7,1) (6,3)
Now,
The range of a relation is the set of all the second coordinates (or y-values) of the ordered pairs. For the given relation, the range is {5, 2, 1, 3}. The sum of all the elements in the range is 5 + 2 + 1 + 3 = 11.
Therefore, by the range the answer will be 11.
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