How many degrees are in a full circle?
Answer: 360
Step-by-step explanation:
done
what is 343230954328509234958320458348 times 2392843994823958345923598358 minus 213423434243434234
Answer:
826131672772214031100614219154556952747400487828020192584
this is the exact answer. thanks for the points!
HELP PLEASE PLEASEEEEEEE
Answer:
about 1854.55 miles (rounded to the hundredth)
Step-by-step explanation:
1.
\( \frac{44}{100} = \frac{816}{x} \)
The first fraction represent the percentage of the distance.
The second one represent the number of 816 miles out of x
2. 100 × 816 = 44 × x
3. You'll get 81,600 = 44x
4. and then you divided both side by 44 to solve for x
Jose has $178.74 in his checking account. He wrote checks for $36.52, $18.92, and $25.93. He also deposited $300.00, $100.00, and $205.16. What is the final balance in Bob's checking account?V
Answer:
$702.53
Step-by-step explanation:
Start with Jose's initial balance.
\(178.74\)
He wrote checks, so we have to subtract the total amount the checks were worth. Let's first add the three amounts.
\(36.52+18.92+25.93\)
Solve.
\(81.37\)
Subtract the total amount of the checks from Jose's initial balance.
\(178.74-81.37\)
Solve.
\(97.37\)
The amount above is now what is in Jose's checking account.
But, he also deposited money, meaning he put money in his checking account. Now, let's add the three amounts he deposited.
\(300.00+100.00+205.16\)
Solve.
\(605.16\)
The amount above is what Jose adds to his checking out.
Add the total value of the deposited money and his new balance.
\(605.16+97.37\)
Solve.
\(605.16+97.37=702.53\)
A fence must be built to enclose a rectangular area of 3,000ft. Fencing material costs $2.50 per foot for the two sides facing north and south, and $3.00 per foot for the other two sides. Find the cost function and use derivative to find the dimension of the least expensive fence. What is the minimum cost?
The cost function C(x) = 5x + 6,000/x, where x is the length of one of the sides of the rectangular area, gives the cost of building the fence. The dimension of the least expensive fence is x = 60ft, and the minimum cost is $500.
Let's assume the length of one of the sides of the rectangular area is x feet. Since the area is 3,000ft², the width of the rectangle can be expressed as 3000/x feet.
The cost of building the fence consists of the cost for the two sides facing north and south, which is $2.50 per foot, and the cost for the other two sides, which is $3.00 per foot. Therefore, the cost function C(x) can be calculated as follows:
C(x) = 2(2.50x) + 2(3.00(3000/x))
= 5x + 6000/x
To find the dimension of the least expensive fence, we can take the derivative of the cost function C(x) with respect to x and set it equal to zero:
C'(x) = 5 - 6000/x² = 0
Solving this equation, we get x² = 6000/5, which simplifies to x = √(6000/5) = 60ft.
Therefore, the dimension of the least expensive fence is x = 60ft. Substituting this value back into the cost function, we find the minimum cost:
C(60) = 5(60) + 6000/60
= 300 + 100
= $500
Hence, the minimum cost of the fence is $500.
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he sample mean and sample standard deviation of all san francisco student scores on the most recent scholastic aptitude test examination in mathematics were
The given information mentions the sample mean and sample standard deviation of San Francisco student scores on the most recent Scholastic Aptitude Test (SAT) examination in mathematics.
To fully interpret the given information, we would need the numerical values of the sample mean and sample standard deviation. The sample mean represents the average score of the students on the SAT math examination, while the sample standard deviation measures the variability or spread of the scores around the mean.
These statistics provide valuable insights into the performance of San Francisco students on the SAT math examination. The sample mean gives an indication of the typical score achieved by the students, while the sample standard deviation helps assess the dispersion or diversity of scores. A higher standard deviation suggests a wider range of scores, indicating greater variability among the students' performance. Conversely, a lower standard deviation suggests more consistency in scores.
Without the specific values of the sample mean and sample standard deviation, we cannot provide further analysis or interpretation of the data.
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[40pts] Which container holds more water? Approximately how much more?
Answer:
Answer down below!
Step-by-step explanation:
If you use area, you know that 8 x 10 = 80
and 4 x 5 = 20
So the cone holds more water
The approximate amount, if you subtract both, gives 60
1. Solve for the unknown in each triangle. Round each answer to the nearest tenth.
The values of the missing sides are;
a. x = 35. 6 degrees
b. x = 15
c. x = 22. 7 ft
d. x = 31. 7 degrees
How to determine the valuesTo determine the values, we have;
a. Using the tangent identity;
tan x = 5/7
Divide the values
tan x = 0. 7143
x = 35. 6 degrees
b. Using the Pythagorean theorem
x² = 9² + 12²
find the square
x² = 225
x = 15
c. Using the sine identity
sin 29= 11/x
cross multiply the values
x = 11/0. 4848
x = 22. 7 ft
d. sin x = 3.1/5.9
sin x = 0. 5254
x = 31. 7 degrees
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An ant population (in thousands) grows each
month according to the model A(m) = 4.700:15m
When will the population reach 38.2 thousand?
The ant population will reach 38.2 thousand in about 3.25 years, assuming a growth rate of 5% per year.
To answer this question, we need to know the growth rate of the ant population. Let's say the growth rate is 5% per year. This means that each year, the population will increase by 5% of its current size. To calculate the population size after a certain number of years, we can use the formula:
P = P0 * (1 + r)^t
where P is the population size after t years, P0 is the initial population size, r is the growth rate as a decimal, and t is the number of years.
Assuming the initial population size is 30 thousand, we can plug in the values to find when the population will reach 38.2 thousand:
38.2 = 30 * (1 + 0.05)^t
Solving for t, we get t = 3.25 years. However, it's important to note that the actual growth rate may be different, so this calculation is just an estimate.
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Five Times the difference of a number and three is less than twice the number.
find the numbers?
Answer:
The number is 5
Step-by-step explanation:
5(x - 3) < 2x
5x - 15 < 2x
-15 < -3x
5 > x
Answer:
It can be any negative number
Step-by-step explanation:
5(x - 3) < x
x = -1
5( -4) < -1
-20 < -1
You can do this with any negative number
What is the answer to this question
Answer:
12.5 cubic units
Step-by-step explanation:
The volume formula is l*w*h=v
The length is 2.5, the width is 2.5, and the height is 2.
Multiply these together to get our answer!
is the function f a k-to-1 correspondence for some positive integer k? if so, for what value of k? justify your answer
We cannot provide a value for k as requested in the question. Hence, our answer is: No, we cannot determine whether the function f is a k-to-1 correspondence for some positive integer k without having the function f.
justify your answer," we need to first understand what a k-to-1 correspondence is.
A k-to-1 correspondence is a function in which each element in the range has exactly k preimages. In other words, if the function f maps elements from set A to set B, then for each element b in set B, there are exactly k elements in set A that map to b.
In this case, we need to determine if the function f is a k-to-1 correspondence for some positive integer k.Now, let's justify our answer. Since we do not have the function f, we cannot determine whether it is a k-to-1 correspondence or not. Therefore, we cannot provide a value for k as requested in the question. Hence, our answer is: No, we cannot determine whether the function f is a k-to-1 correspondence for some positive integer k without having the function f.
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What are the solutions of the system of equations y = –(x + 2)2 + 1 and y = 3x + 7?
Answer:
x = -2 ; y = 1
Step-by-step explanation:
y = -2(x+2) + 1
y = 3x + 7
3x + 7 = -2x - 4 + 1
3x + 2x = -3 - 7
5x = -10
5/5 x = -10/5
x = -2
y = 3 (-2) + 7
y = -6 + 7
y = 1
Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
O f() = -5x2 + 8x - 1
Of(x) = -222 +50 - 1
O f(x) = -3.x2 + 4.0 – 1
O f() = -3x2 + 10x - 1
Answer:
The equation is;
f(x) = -2·x² + 5·x - 1
Step-by-step explanation:
The general form of a quadratic equation or function f(x) is, f(x) = y = a·x² + b·x + c
Given that the points representing the quadratic function are;
(-1, -8), (0, -1), (1, 2) which are of the form (x, y)
When x = -1, f(x) = y = -8
Plugging in the above values into the general form of a quadratic function, we have;
-8 = a·(-1)² + b·(-1) + c = a - b + c
-8 = a - b + c.........................(1)
When x = 0, y = -1, we have;
-1 = a·(0)² + b·(0) + c = c
c = -1.......................................(2)
When x = 1, y = 2, which gives;
2 = a·(1)² + b·(1) + c = a + b + c
2 = a + b + c........................(3)
Adding equation (1) to equation (3), we have;
-8 + 2 = a - b + c + a + b + c
-8 + 2 = 2·a + 2·c
From equation (2) c = -1, we get;
-8 + 2 = -6 = 2·a + 2·c = 2·a + 2 × (-1)
-6 = 2·a - 2
-4 = 2·a
a = -2
From equation (3), we have
2 = a + b + c
Substituting the values of a, and c gives;
2 = -2 + b - 1
b = 2 + 2 + 1 = 5
b = 5
The equation is therefore;
f(x) = -2·x² + 5·x - 1.
Answer:
b
Step-by-step explanation:
4. Finn spent 75% of his
savings on new
headphones. If he had $88
saved, what did he spend
on the headphones?
Answer:
It would be $22
Step-by-step explanation:
88 times .75 = 66
subtract 66 from the original price and it gives you $22
IL GIVE BRAINLIEST AND MOREEE HELP
Answer:
-15
Step-by-step explanation:
Hope this Helps
Answer: -335
Step-by-step explanation:
What is the solution?
1
Group of answer choices
(0,-2)
(0,3)
(-1,-1)
(-2,0)
Answer:
(-1,-1)
Step-by-step explanation:
Because that is where the dot is.
Hope this helps :)
Q. Of the 100 students in 7th grade , 4 out of every 10 students said that pizza
was their favorite food. Based on this, how many students did NOT say pizza was their
favorite food?
i need help with math algebra
a bacteria culture grows with a constant relative growth rate. after 2 hours there are 600 bacteria and after 8 hours the count is 75,000. (a) find the initial population.
The initial population of the bacteria culture is 200 bacteria.
The initial population of the bacteria culture can be determined using the equation for exponential growth: P(t)=P0(1+rt), where P(t) is the population after time t, P0 is the initial population, and r is the relative growth rate.
In this case, after 2 hours, the population is 600 and after 8 hours the population is 75,000. Plugging in the values, we get P0 = 600/(1+2*r), or P0 = 600/3. Thus, the initial population of the bacteria culture is 600/3 = 200 bacteria.
Exponential growth is a function of time and rate of growth. It is often used to model population growth or decay, such as in this case. The equation for exponential growth states that the population at any time is equal to the initial population multiplied by the rate of growth at each unit of time.
In this case, the rate of growth (r) is constant over the time period, so the population can be determined by putting in the values for P(t) and P0 and solving for r. Then, using the same equation, the initial population (P0) can be determined.
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When a correlation is found between a pair of variables, this always means that there is a direct cause and effect relationship between the variables.
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Solve for y:
2x+4y=32
Answer:
Step-by-step explanation:
2x+4y=32
Get Y on one side of equation by itself
(subtract 2x on both sides)
leaves 4y = 32 - 2x
Divide by 4 to get Y alone (without coefficient)
4y = 32 - 2x
4
y = 8 - 1/2x
pythagorean theorem calc: find b, a=10, c=26
Answer:
24 units
Step-by-step explanation:
The Pythagorean theorem states that for a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Using this formula, we can solve for the length of the missing side:
c^2 = a^2 + b^2
26^2 = 10^2 + b^2
676 = 100 + b^2
b^2 = 576
b = sqrt(576)
b = 24
Therefore, the length of side b is 24 units.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{26}\\ a=\stackrel{adjacent}{10}\\ o=\stackrel{opposite}{b} \end{cases} \\\\\\ b=\sqrt{ 26^2 - 10^2}\implies b=\sqrt{ 676 - 100 } \implies b=\sqrt{ 576 }\implies b=24\)
I need help with this.
Answer:show me
Step-by-step explanation:
how many solutions are there to square root x =9
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3
Select the graph of the quadratic function g(x) = 2x2. Identify the domain and range
Answer:
Step-by-step explanation:
None of them are correct. The closest is D.
The domain is all real x or (-∞, ∞)
The range is [0, ∞).
Kendra earns $70 per week mowing lawns. She saves 60% of the money she earns each week. How many weeks will it take Kendra to save enough money to buy a game system that costs $210 including tax?
Answer:
5 weeks
Step-by-step explanation:
Let's find how much money she saves a week by multiplying the decimal form of 60% and $70.
To get the decimal form of a percent you have to move the decimal to the left twice, like this: 60 ---> .60
Now that we have the decimal form of the percent we can multiply it by the 70 to find how much she saves a week:(70)(.6) = 42
Therefore, Kendra saves $42 each week. To find how many weeks it will take Kendra to buy the game system you divide $210 by the $42.
Like this:(210)/(42) = 5 All in all, it will take Kendra 5 weeks to save enough money to buy a game system that costs $210. I hope this helps!!
-Hadi
Answer:
Step-by-step explanation:
Answer:
5 weeks
Step-by-step explanation:
Let's find how much money she saves a week by multiplying the decimal form of 60% and $70.
To get the decimal form of a percent you have to move the decimal to the left twice, like this: 60 ---> .60
Now that we have the decimal form of the percent we can multiply it by 70 to find how much she saves a week:(70)(.6) = 42
Therefore, Kendra saves $42 each week. To find how many weeks it will take Kendra to buy the game system you divide $210 by the $42.
Like this:(210)/(42) = 5 All in all, it will take Kendra 5 weeks to save enough money to buy a game system that costs $210. I hope this helps!!
-Raf
The distance between two lines measured along a perpendicular line to the line is always the same.
Answer:
the same
Step-by-step explanation:
perprendicular lines never touch
The returns on the common stock of new image products are quite cyclical. In a boom economy, the stock is expected to return 32 percent in comparison to 14 percent in a normal economy and a negative 28 percent in a recessionary period. The probability of a recession is 25 percent while the probability of a boom is 20 percent. What is the standard deviation of the returns on this stock?.
To calculate the standard deviation of the returns on this stock, we first need to find the expected return and then calculate the variance before taking the square root.
Given the probabilities and returns for each economic state, let's compute the expected return:
Expected return = (Boom return × Probability of boom) + (Normal return × Probability of normal) + (Recession return × Probability of recession)
Since the probabilities of boom and recession are given as 20% and 25% respectively, the probability of a normal economy is 100% - (20% + 25%) = 55%.
Expected return = (0.32 × 0.2) + (0.14 × 0.55) + (-0.28 × 0.25) = 0.064 + 0.077 + (-0.07) = 0.071
Next, we calculate the variance:
Variance = Σ [Probability(i) × (Return(i) - Expected return)²]
Variance = (0.2 × (0.32 - 0.071)²) + (0.55 × (0.14 - 0.071)²) + (0.25 × (-0.28 - 0.071)²) = 0.049401 + 0.002555 + 0.045956 = 0.097912
Finally, we find the standard deviation by taking the square root of the variance: Standard deviation = √(0.097912) ≈ 0.313, The standard deviation of the returns on this stock is approximately 0.313, or 31.3%.
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help me answer this <3
what two intergers does √75 fall between ?
a) 7 & 8
b) 8 & 9
c) 9 & 10
d) it's exactly 30