Answer:
V≈63.04m³
Step-by-step explanation:
Answer above
Answer:
= 82.44795yd³
Step-by-step explanation:
Volume = (4/3)(π)(r³)
(4/3)(π)(2.7³)
(4π2.7³) / 3
78.732π / 3
247.34387 / 3
=82.44795
The value of y varies directly with x. If x = 4, then y = 36. Find the value of x when y = 144.
Answer:
16Step-by-step explanation:
Direct variation formula: y = kx
Given
x = 4, y = 36Finding the coefficient k:
36 = 4kk = 36/4k = 9So the function is
y = 9xSolving for x, when y = 144
144 = 9xx = 144/9x = 16I’ll rate u 5 stars what is the slope intercept super easy and quick response
Answer:
Answer : y=2/3x-6
Step-by-step explanation:
Format : y = mx+b
The line has a y intercept at -6, so that will be our b.
our mx (slope) is formatted as y/x, so 2/3, which would result in 2/3x
Answer:
y=\(\frac{2}{3} \\ \)x-6
Step-by-step explanation:
a small college has 500 freshmen, 400 sophomores, 350 juniors, and 300 seniors. administrators wish to conduct a survey of their students, and they find a simple random sample of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. the overall sample is:
The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.
To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.
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To play a board game, a player spins the pointer of a spinner with four equal sections numbered 1–4, and then flips a fair coin. Use a tree diagram to represent the sample space. What is the probability of spinning either a 3 or a 4 AND flipping a head?
Answer:
2/8
Step-by-step explanation:
there is the 4 sections of a spinner and 2 sides on the coin when you lay it out that leaves 2 opportunities to spin a 3 or a 4 and flipping heads
A doctor advises a patient not to consume more than 8.5 × 10−2 kg of sugar per day. Coca cola
contains 110 g/L sugar. How many 12 oz cans of Coca cola can the patient consume? Show your work.
The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.
To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.
Provided:
Sugar limit: 8.5 × 10^(-2) kg
Coca Cola sugar content: 110 g/L
Volume of a 12 oz can: 12 oz (which is approximately 355 mL)
First, let's convert the sugar limit from kilograms to grams:
Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g
Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:
Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L
Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g
Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:
Number of cans = Sugar limit / Amount of sugar in a can
Number of cans = 85 g / 39.05 g ≈ 2.18
Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.
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In this division problem what is the divined of 2/3 divided by 6/5
Answer:
5/9
Step-by-step explanation:
brainliest when possible.
biologist zing yang kuo demonstrated that a cat had been raised from birth with a rat in the same cagewould attack netiehr that specific rat nor other rats this research suggests that
Kuo's research emphasizes the role of learning in shaping an animal's behavior and highlights the importance of early experiences in shaping social behavior. This research has important implications for the fields of biology, animal behavior, and animal welfare.
Biologist Zing Yang Kuo's research demonstrated that a cat raised from birth with a rat in the same cage would not attack that specific rat or other rats. This research suggests that the cat's behavior towards rats is learned and not solely based on instinct. The results of this study have implications for understanding the role of early experiences in shaping an animal's behavior towards other species.
The study highlights the importance of socialization in shaping an animal's behavior. Animals raised in isolation from their own species may exhibit abnormal behaviors and may not develop appropriate social skills. In the case of the cat raised with the rat, the presence of the rat from an early age prevented the cat from perceiving the rat as prey.
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What is f(5) if f(1) =3.2 and f(x + 1) = 5/2(f(x))
Step-by-step explanation:
f(x + 1) = (5/2)*f(x)
f(x + 1) = 2.5*f(x), f(1) = 3.2
f(2) = 2.5f(1) = 2.5*3.2 = 8
f(3) = 2.5f(2) = 2.5*8 = 20
f(4) = 2.5f(3) = 2.5*20 = 50
f(5) = 2.5f(4) = 2.5*50 = 125
philip took 1 3 of the peanuts from the bag. joy took 1/4 of the remaining peanuts. brent took 1/2 of the remaining peanuts. preston took 10 peanuts.there are 71 peanuts remaining in the bag. how many peanuts were originally in the bag?
The original number of peanuts in the bag was 21 + 10 + 10 + 40 + 10 = 91 peanuts.
1. Preston took 10 peanuts, so before he took them, there were 71 + 10 = 81 peanuts.
2. Brent took half of the remaining peanuts, which means he took 1/2 * 81 = 40.5 peanuts. Since we can't have a fraction of a peanut, we round it down to 40 peanuts. This leaves 81 - 40 = 41 peanuts.
3. Joy took 1/4 of the remaining peanuts, which means she took 1/4 * 41 = 10.25 peanuts. We round it down to 10 peanuts. This leaves 41 - 10 = 31 peanuts.
4. Philip took 1/3 of the peanuts, which means he took 1/3 * 31 = 10.33 peanuts. We round it down to 10 peanuts. This leaves 31 - 10 = 21 peanuts.
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The center of a circle is at (10, -4) and its radius is 11.
What is the equation of the circle?
(x-10)² + (y + 4)² = 11
O (x-10)² + (y + 4)² = 121
(x + 10)² + (y - 4)² = 11
O (x + 10)² + (y - 4)² = 121
Answer:
(x - 10)² + (y + 4)² = 121
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (10, - 4 ) and r = 11 , then
(x - 10)² + (y - (- 4) )² = 11² , that is
(x - 10)² + (y + 4)² = 121
A spider is climbing up a wall. During the daytime it climbs 5 cm, but then slips back 2 cm during the night. If it started climbing from the bottom of the wall on the morning of January 30th, on what day would it first reach a height of 74 cm?
Answer:
28 days
Step-by-step explanation:
Hope this helps. Good Luck!!
The spider would reach the height of 74 cm on 24th February by the end of the day.
What is expression in mathematics?An expression in mathematics is a combination of terms both constants and variables.
Given is that a spider is climbing up a wall. During the daytime it climbs 5 cm, but then slips back 2 cm during the night.
The net distance covered by the spider in one day -
D{n} = 5 cm - 2 cm = 3cm
The spider would reach 74 cm up in -
{x} = 74/3
{x} = 24.7
This means that the spider would reach the height of 74 cm on 24th February by the end of the day.
Therefore, the spider would reach the height of 74 cm on 24th February by the end of the day.
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Do the calculations and round the answers to the correct place (using the rules for calculating significant digits): 4.8754 x 3.2
Answer: The answer I got is 15.6
Lisa bought a treadmill for $925. She made a 20% down payment and financed the rest over 18 months. Find the monthly payment if the interest rate was 11%.
The monthly payment if the interest rate was 11% will be $45.63.
The remaining amount is calculated as,
P = (1 - 0.20) x $925
P = 0.80 x $925
P = $740
The monthly payment is calculated as,
MP = [$740 + ($740 x 0.11)] / 18
MP = $821.4 / 18
MP = $45.63
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The monthly payment is $49.69.
We have,
The amount of the down payment is:
0.20 x $925 = $185
So the amount financed is:
$925 - $185 = $740
Using the formula for the monthly payment on a loan:
= (Pr(1+r)^n) / ((1+r)^n - 1)
where:
P = principal or amount financed = $740
r = monthly interest rate = 11%/12 = 0.0091667
n = total number of payments = 18
Plugging in the values, we get:
Monthly payment
= ($7400.0091667 x (1+0.0091667)^18) / ((1 + 0.0091667)^18 - 1)
= $49.69 (rounded to the nearest cent)
Therefore,
The monthly payment is $49.69.
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rotate 270 degrees…what are the coordinates of B
PLS HELP
Answer:
8;-2
Step-by-step explanation:
8 is the x axis and -2 is the y axis
Answer:
Step-by-step explanation:
jane had a collection of balloons she gave 1/4 of her collection to her sister. how many balloons does jane have now?
Answer:
3/4
Step-by-step explanation:
what is The “Big Stick Diplomacy"
Answer:
"Big Stick diplomacy is the policy of carefully mediated negotiation ("speaking softly") supported by the unspoken threat of a powerful military ("big stick")."
Step-by-step explanation:
(nationalgeographic)
Answer:
refers to President Theodore Roosevelt's foreign policy
Step-by-step explanation:
speak softly and carry a big stick; you will go far." Roosevelt described his style of foreign policy as "the exercise of intelligent forethought and of decisive action sufficiently far in advance of
Short- Response Question
1) A mechanic can complete 24 oil changes in an 8 hours workday'
Part A: At this rate, how many oll changes can the mechanic complete in a
40- hour workweek?
Show your work
oil changes
Answer
Part B:
Use what you know about rates to explain your answer to part A
The mechanic complete 120 oil changes in a 40 - hour workweek.
What is oil change?
The procedure of changing the vehicle's old, unclean oil for new, clean oil. The vehicle requires an oil change.
A full-service oil change involves the replacement of your vehicle's motor oil with the proper grade, which may be conventional, synthetic, synthetic blend, or high-mileage oil. Additionally, your old oil and oil filter will be changed and recycled.
Given: A mechanic can complete 24 oil changes in an 8 hours workday.
We have to find the number of oil changes in a 40 hour workweek.
A 40-hour workweek would be 5 days (8 hours a day).
Therefore, the oil change in 40 hour workweek are 24 x 5 = 120.
Hence, the mechanic complete 120 oil changes in a 40 - hour workweek.
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if anyone knows how to do science
Answer:
im using my own knowledge hopefully this is helpful
Orion
milky way
life
earth
years
G2V (I'm not sure with this one)
earths
Step-by-step explanation:
4 times a number decreased by 6 is equal to 6 times that number
Answer:
-3
Step-by-step explanation:
Use x as the variable
4x-6=6x
6x-4x=-6
2x=-6
x=-3
Consider the function y = acos(bx), where a > 0 and b > 0. Which change affects the locations of the x-intercepts of the graph?
Decrease a.
Decrease b.
Change the sign of a.
Change the sign of b.
Answer:
The correct option is;
Decrease b.
Step-by-step explanation:
The given information are;
The function in the question is given by the equation, y = a·cos(b·x)
Where;
a > 0 and b > 0
The location of the x-intercept is given by the values of x when y = 0 which are obtained as follows;
When y = 0, y = a·cos(b·x) = 0
Therefore;
cos(b·x) = 0/a = 0
∴ b·x = cos⁻¹(0) = π/2, 3·π/2, (4·n×π + π)/2
Therefore, as b decreases, x increases.
Answer: B
Decrease b.
Step-by-step explanation:
Please hurry have to turn this in
For the given linaer equation:
a) 5.68 hours.
b)8.64 hours.
c) -0.74 hours.
How to work with the given linear equation?Here we have the linear equation:
y = -0.74*x + 8.64 modeling the given data.
a) To get this, evaluate the line in x = 4, we will get:
y = -0.74*4 + 8.64 = 5.68
b) This will be the y-intercept of the linear equation (what we get when we evaluate in x = 0), so it is:
y = 8.64
c) An increase of one hour will have a change equal to the slope of the line, so it is -0.74 hours.
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A researcher was interested in comparing the resting pulse rate of people who exercise regularly and people who do not exercise regularly. Independent simple random samples of 16 people ages 30-40 who do not exercise regularly and 12 people ages 30-40 who do exercise regularly were selected and the resting pulse rate of each person was measured. The summary statistics are as follows. Do Not Exercise X1=72.3 s1=10.3 n1=16 Do Exercise X2=69.0 s2=8.9 n2=12 At the 2.5% significance level, do the data provide sufficient evidence to conclude that the mean resting pulse rate of people who do not exercise regularly is greater than the mean resting pulse rate of people who exercise regularly? Use the critical-value approach.
For a hypothesis testing by considering two samples related to rate of people who exercise and who do not exercise, the observed t-value < standard so, null hypothesis does not rejected and there is no evidence to support the claim.
We have a researcher who was interested in making a comparison of resting pulse rate of people who exercise regularly and who do not exercise regularly. There is two independent samples. In 1ˢᵗ sample, sample size, n₁= 16
Sample mean, \(\bar X_1\) = 72.3
Standard deviations, s₁ = 10.3
In case of second sample, sample size, n₂ = 12
Sample mean, \( \bar X_2\) = 69.0
Standard deviations, s₂ = 8.9
Level of significance = 2.5% = 0.25
Consider the null and alternative hypothesis for the test hypothesis are defined as \(H_0 : μ_1 =μ_2\)
\(H_a : μ_1 >μ_2\)
The test statistic : using t-test formula
\(t = \frac{ \bar X_1 - \bar X_2}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}}}\)
\(= \frac{72.3- 69}{ \sqrt{ \frac {10.3^2}{16} + \frac{8.9^2}{12}}}\)
= 0.91
Degree of freedom, df = n1 + n2 - 2
= 16 + 12 -2 = 26
Using the t-distribution table, the critical value for t(0.025, df = 26) is equals to the 2.06. Now, the observed t-value = 0.91 is less than 2.06 ( standard t value), so, we do not reject H₀ . Hence, no evidence to support the researcher claim.
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Use any method to solve the following system of equations
5x = 8 - 2y
-5x + 8 = 2y
A (-5,-3)
B no solution
C infinitely many solutions
D (-5,3)
Answer:
no solution
Step-by-step explanation:
Find the number that makes the ratio equivalent to 7:5. _:50
The number that makes the ratio equivalent to 7:5 is 70 when compared with 50. To find this, we can set up a proportion and solve for the unknown value.
Step 1: Set up the proportion
First, we can set up the proportion with the given ratio 7:5 and the unknown value (let's call it "x") compared to 50:
(7/5) = (x/50)
Step 2: Cross-multiply
Next, we can cross-multiply to find the equivalent value:
7 * 50 = 5 * x
Step 3: Solve for x
Now, we can solve for the unknown value "x":
350 = 5x
x = 70
So, the number that makes the ratio equivalent to 7:5 when compared with 50 is 70. The resulting equivalent ratio is 70:50.
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robin is twice as old as earl and adam is 8 years younger than earl. in 6 years robin will be three times as old as adam. find their present ages
The present age of Earl is 12 years, Robin is 24 years and Adam is 4 years old.
Let us consider the present age of Earl to be x years.
According to the given question, the present age of Robin is twice that of Earl = 2x
And since it is given that Adam is 8 years younger than Earl, then his age
= x - 8
After 6 years, the age of Earl will be x + 6
Robin's age will be = 2x + 6
Adam's age will be = x - 8 + 6 = x - 2
According to the given question, Robin's age will be thrice the age of Adam.
Hence, 2x + 6 = 3 (x - 2)
⇒ 2x + 6 = 3x - 6 ⇒ 6 + 6 = 3x - 2x ⇒ 12 = x
Thus, the present age of Earl is 12 years,
Robin's age = 2x = 2 x 12 = 24 years
Adam's age = x - 8 = 12 - 8 = 4 years
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3/8 of the seventh grade students were taking advanced math at the beginning of the year, but seven dropped out by the end of the year. if there were 149 students taking advanced math at the end of the year, how many total 7th grade students are there?
Answer:
416 I believe.
Step-by-step explanation:
add 7 to 149
divide 156 by 3 to get 1/8 of total.
Get 52 and then multiply by 8 to get 416
What is a value chain ?
How Do Value Chains Work?
From the beginning of a product's design until the time it reaches a customer's door, there are a number of sequential phases that make up its value chain. The value-adding steps of the production process, such as sourcing, manufacturing, and marketing, are all identified by the chain.
An organization evaluates the specific processes involved in each stage of its operation to do a value-chain analysis. In order for a business to produce the most value at the lowest cost, a value-chain analysis aims to increase production efficiency.
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What is 0.6 divided by 24.6
Answer:
41
Step-by-step explanation:
24.6/0.6
0.6 · 41
Clara says that if you square the number 4 and then divide the result by 2, you end up with 4. Is Clara correct? Explain. Please help.
Answer:
She is incorrect
Step-by-step explanation:
If you square 4 you get 16 and divide 16 and 2 you get 8 so shes wrong.
Answer: Clara is incorrect
Step-by-step explanation:
The square root of 4 is 2
2 ÷ 2 = 1
You end up with 1 not 4, therefore, Clara is wrong.
Edit: Look at the other answer, I sadly made a mistake thinking the question said square root but it said square I apologize .
i need heeeeeeeeeeelllllllllllllppppppppppp!?!
Answer:
I cant give you an answer but hints:
First you gotta know the angles of the triangle
then how many are there
then those lines in the middle is dividing lines so
right angles are 90 degrees
I would go for B then.
if not I'm sorry