What is 30% of 50?.????????
Answers
Answer:
15
Step-by-step explanation:
30% = 0.30
50 x 0.30 = 15
Hope this Helps! :)
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Related Questions
What is the distance between the points (-2,1) and (5,-4)
Answers
Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
Distance between two pointsThe distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.
In other words, the distance between two points in space is the magnitude of the vector formed by said points.
So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:
distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)
Distance between the points (-2,1) and (5,-4)In this case, you know:
(x1, y1): (-2,1)(x2, y2): (5,-4)Replacing in the definition of distance:
distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)
distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)
distance= \(\sqrt{7^{2} +(-5)^{2} }\)
distance= \(\sqrt{49+25 }\)
distance= √74= 8.6023
Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.
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What percentage do you have invested in bonds if your portfolio consists of $45,000 invested in U.S. Treasuries, $32,000 in high-grade corporate
bonds, and $74,000 in growth stocks?
51%
45%
50%
52%
Answers
To find the percentage invested in bonds, we need to add the amounts invested in U.S. Treasuries and high-grade corporate bonds, and then divide by the total value of the portfolio:
Total amount invested in bonds = $45,000 + $32,000 = $77,000
Total portfolio value = $45,000 + $32,000 + $74,000 = $151,000
Percentage invested in bonds = (Total amount invested in bonds / Total portfolio value) x 100%
= ($77,000 / $151,000) x 100%
= 51.0%
Therefore, the answer is 51%.
I hope this helps you!
3√6×2√3=...
5√12+3√3=...
Answers
Answer:
\(3\sqrt{6}\times \:2\sqrt{3}=18\sqrt{2}\)\(5\sqrt{12}+3\sqrt{3}=13\sqrt{3}\)Step-by-step explanation:
1)
Given the expression
\(3\sqrt{6}\:\times \:2\sqrt{3}\)
\(\mathrm{Factor\:integer\:}6=3\times \:2\)
\(=3\sqrt{3\times \:2}\times \:2\sqrt{3}\)
\(\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\)
\(=3\sqrt{3}\sqrt{2}\times \:2\sqrt{3}\)
\(\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a\)
\(=3\times \:2\times \:3\sqrt{2}\)
\(=18\sqrt{2}\)
Thus,
\(3\sqrt{6}\times \:2\sqrt{3}=18\sqrt{2}\)
2)
Given the expression
\(5\sqrt{12}+3\sqrt{3}\)
\(\:=\:5\sqrt{\left(4\right)\left(3\right)}+3\sqrt{3}\)
\(=\:5\times 2\sqrt{\left(3\right)}+3\sqrt{3}\)
\(=10\sqrt{3}+3\sqrt{3}\)
\(\mathrm{Add\:similar\:elements:}\:10\sqrt{3}+3\sqrt{3}=13\sqrt{3}\)
\(=13\sqrt{3}\)
Thus,
\(5\sqrt{12}+3\sqrt{3}=13\sqrt{3}\)
What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
Answers
Answer:
A
Step-by-step explanation:
Your welcome!!
Answer:
a
Step-by-step explanation:
The function f(1) = 60,000(2)
00(2) 410 gives the number
of bacteria in a population & minutes after an initial
observation. How much time, in minutes, does it
take for the number of bacteria in the population to
double?
Answers
It takes 10 minutes for the number of bacteria in the population to double.
To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.
The given function is f(t) = 60,000 * 2^(t/10).
To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:
120,000 = 60,000 * 2^(t/10).
Next, we can simplify the equation by dividing both sides by 60,000:
2 = 2^(t/10).
Since both sides of the equation have the same base (2), we can equate the exponents:
t/10 = 1.
To solve for t, we multiply both sides by 10:
t = 10.
Therefore, it takes 10 minutes for the number of bacteria in the population to double.
This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.
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you can model the population of a certain city between 1945-2000 by the radical function P(x)+55000sqrt(x-1945) . using this model, in which year was the population of that city in 165000?
Answers
The population of the city was 165000 in the year 1954.
The population of the city in a given year, x, can be calculated using the given function:
P(x) = 55000√(x - 1945)
We want to find the year, so we need to solve for x when P(x) = 165000.
165000 = 55000√(x - 1945)
Dividing both sides by 55000:
3 = √(x - 1945)
Squaring both sides:
9 = x - 1945
Adding 1945 to both sides:
x = 1954
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It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, estimate how much longer I will be driving for?
Answers
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.
To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.
We can set up a proportion to find the time:
(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)
Let's solve for the time taken for 146 km:
(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)
Substituting the given values:
(time taken for 146 km) = 32 minutes * (146 km / 48 km)
Calculating the value:
(time taken for 146 km) ≈ 32 minutes * 3.042
(time taken for 146 km) ≈ 97.344 minutes
Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.
To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:
Additional time = 97.344 minutes - 32 minutes
Additional time ≈ 65.344 minutes
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How many quarts of water does Zahara need to add to keep the consistency the same? Complete the ratio square.
Answers
6 quarts
EXPLANATION: 6 quarts of water to keep the consistency the same
The question is in the picture.
Answers
Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16
If a = 6,b=8, then what is 3ab?
Answers
Answer:
144
Step-by-step explanation:
3(6x8)
3x48
144
Answer:
144
Step-by-step explanation:
3 mutiplied by a, or 6, is 18.
18 Multiplied by b, or 8, is 144.
People living in Fairbanks drink 3600 cups of hot chocolate in a day when the temperature is O' Fahrenheit. For each rise of 1"F, their consumption decreases by 120 cups. Questions 14-16 Write an equation that can be used to represent the number of cups, C, of hot chocolate drank as a function of degrees, F, Fahrenheit? C = 3600 - 120F Your answer 14. How many cups would they drink at 5°F?* 5 points Your answer This is a required question 15. How many cups would they drink at 25°F?* 5 points Your answer
Answers
Answer:
a. The expression that represents the number of cups of hot chocolate drunk per day as a function of degrees Celsius is
y = -30x + 3600 pr the equivalent y = 3600 - 30x
b. How many cups would they drink at 5 degrees Celsius?
x = 5 --> y = 3600 - 30 X 5 --> y = 3600 - 150 --> y = 3450
c. How many cups would they drink at 25 degrees Celsius?
x = 25 --> y = 3600 - 30 X 25 --> y = 3600 - 750 --> y = 2850
d. Write an equation to determine the temperature if 3000 cups of hot chocolate were consumed in a day.
y = 3000 --> 3000 = 3600 - 30x
e. Solve the equation to find the temperature if 3000 cups of hot chocolate were consumed in a day.
--> 3000 = 3600 - 30x --> 3000 - 3000 + 30x = 3600 - 30x - 3000 + 30x --> 30x + 600 --> 30x/30 = 600/30 --> x = 20
f. Is this answer reasonable? Explain.
It is very reasonable.
At 0 degree C. they drink 3600 cups.
As the temperature increases, hot chocolate consumption decreases.
At 5 degree C. they drink less hot chocolate: 3450 cups.
Since 20 degree C. is even warmer, they should drink even less at 20 degree C., but not as little as the 2850 cups they drink on those very warm 25 degree C. days.
Step-by-step explanation:
We need to name/define variables:
y = number of cups of hot chocolate consumed in a day in Fairbanks.
x = temperature in degrees Celsius
"For each rise of 1 degrees Celsius, their consumption decreases by 30 cups per day."
That tells you that y is a linear function of x, so we should be able to write it as
y=mx + b with some constants for slope, m, and y-intercept, b.
It also tells you that the slope is m=-30.
"People living in Fairbanks drink 3600 cups of hot chocolate per day when the temperature is 0 degrees Celsius."
That gives you the value of y when x=0, which is the y-intercept,
b=3600
564 ÷ 18 as a fraction
Answers
Answer: The simplest form of 564/18 is 94/3.
Step-by-step explanation: Hope this helps
im looking for help on volume of pyramids and prisims.
Answers
The volume of a pyramid is given by,
\(V=\frac{\text{lwh}}{3}\)Here,
\(\begin{gathered} l=14\text{ m} \\ w=8\text{ m} \\ h\text{ = 30 m} \end{gathered}\)Substituting the values, we get,
\(V=\frac{14\times8\times30}{3}=1120\)Thus, the volume is 1120.
Tell whether the sequence is arithmetic. If it is what is the common
difference? Explain. (2 points)
{1, 5, 9, 13, ...).
Answers
Answer:
Sequence is arithmetic
Common difference = 4
Step-by-step explanation:
All arithmetic sequences have a common difference, so if you can determine a common difference in a given sequence, then the sequence is likely to be arithmetic. To find the common difference, subtract a value from its preceding value, and repeat this step to ensure the difference between all values is the same:
5 - 1 = 9 - 5 = 13 - 9
4 = 4 = 4
The common difference = 4, and because there is a common difference, this sequence is arithmetic.
Your town has a park at points (-9,-9), (-3,-9) and (-6,-5). What is the area of the park?
Answers
The area of the park is 12 square units.
To find the area of the park, we can use the Shoelace Formula (also known as Gauss's area formula). This formula allows us to calculate the area of any polygon given the coordinates of its vertices.
The Shoelace Formula states that if we have the coordinates of the vertices of a polygon in counterclockwise order (x₁, y₁), (x₂, y₂), ..., (xn, yn), then the area (A) of the polygon is given by:
A = 1/2 × |(x₁y₂ + x₂y₃ + ... + xn-1yn + xny₁) - (y₁x₂ + y₂x₃ + ... + yn-1xn + ynx₁)|
In our case, the coordinates of the park's vertices are (-9, -9), (-3, -9), and (-6, -5). Let's calculate the area using the Shoelace Formula:
A = 1/2 × |(-9 × -9 + -3 × -5 + -6 * -9) - (-9 × -3 + -9 × -6 + -5 × -9)|
Simplifying further:
A = 1/2 × |(81 + 15 + 54) - (27 + 54 + 45)|
A = 1/2 × |150 - 126|
A = 1/2 × |24|
A = 12
Therefore, the area of the park is 12 square units.
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Answer:
12 square units---------------------
Plot the given vertices and connect.
See attached.
Then add the height CD.
The base is AB, with the length:
AB = - 3 - (- 9) = -3 + 9 = 6The height is CD, with length:
CD = -5 - (- 9) = - 5 + 9 = 4Find the area using equation:
A = bh/2A = 6*4/2A = 12
Priya followed this set of instructions to make quadrilateral ACBD,
1. Draw 2 points: A and B.
2. Draw a circle centered at A with radius AB.
3. Draw a circle centered at B with radius AB
4. Label the intersection points of the circles C and D.
5. Draw segments AC, BC, AD, and BD.
Choose a description you can be sure is accurate for the shape she constructed.
OA) 2 congruent sides, but not all 4
O B) 4 congruent angles
O C) 4 congruent sides
OD) 4 congruent sides and 4 congruent angles
Answers
Solve for b.
2(b + 7) = 20
b = ??
Answers
Answer:
6.5
Step-by-step explanation:
Answer:
7/9.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 20b from both sides.
Step 3: Subtract 14 from both sides.
Step 4: Divide both sides by -18.
describe the domain and range of function D
pls help <3
Answers
Answer:
Domain- [0,7], Range- [0,20]
Step-by-step explanation:
The lifetimes of a certain type of automobile tire have been found to be distributed normally with a mean lifetime of 130,000 km and a standard deviation of 1,700 km.
A) Find the Z-Score of a tire that has a lifetime of 126,005 km: Z-
(Round to two decimal places)
B) Find the lifetime of a tire if it has a z score of - 1.96: Lifetime - km
(Round to nearest whole number)
Answers
Answer:
b
Step-by-step explanation:
1. Computer Depot is a large store that sells and repairs computers. A random sample of 110 computer repair jobs took technicians an average of = 93.2 minutes per computer. Assume that is known to be 16.9 minutes.
(a) Find a 99% confidence interval for the population mean time for computer repairs.
(b) Write a brief explanation of the meaning of the confidence interval in the context of this problem.
Answers
Confidence interval for the population mean time σ for computer repairs is [98.05 , 89.850].
What is confidence interval?
A confidence interval, in statistics, refers to the chance that a population parameter can fall between a collection of values for an exact proportion of times.
Main body:
According to question:
N = 110
X bar = 93.9 minutes
σ = 16.9 minutes
value for 99% confidence interval = 2.576
C.I. = x bar ± z*s/√n
C.I. = 93.9 ± 2.576 *16.9 /√110
C.I. = 93.9 ± 4.150
C.I. = [98.05 , 89.850]
Hence , confidence interval for the population mean time σ for computer repairs is [98.05 , 89.850].
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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.
Answers
Answer:
Step-by-step explanation:
find lim x approaches 3
f(x) = x^2 - 2
f(x) = -3x + 15. x> 3
Answers
The value of the limit of the function f(x) = x² - 2 is 7.
The value of the limit of the function f(x) = -3x + 15 is -6.
We have,
To evaluate the limit as x approaches 3, we need to find the limit of function f(x) as x approaches 3 from both sides of 3.
First, let's evaluate the limit from the left side of 3:
lim x → 3⁻ f(x) = lim x → 3⁻ (x^2 - 2)
Substituting x = 3 - h (where h approaches zero) gives:
lim h → 0⁺ [(3 - h)^2 - 2]
= lim h → 0⁺ [9 - 6h + h^2 - 2]
= lim h → 0⁺ [h^2 - 6h + 7]
= 7
(since the limit of a quadratic function as h approaches zero is the constant term)
Next, let's evaluate the limit from the right side of 3:
lim x → 3⁺ f(x)
= lim x → 3⁺ (-3x + 15)
= -6
Since the limit from the left side is not equal to the limit from the right side, the limit of f(x) as x approaches 3 does not exist.
Thus,
The value of the limit of the function f(x) = x² - 2 is 7.
The value of the limit of the function f(x) = -3x + 15 is -6.
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The diagram shows a 20 foot ladder leaning against a wall,”. The bottom of the ladder is 10 feet from the base of the wall. Based on these dimensions, what is the value of the x? HELP PLZ GOD HELP ME URGENT
Answers
Answer:
Step-by-step explanation:
Remember that the sides of a 30-60-90 triangle are in the ratio 1:√3:2
Since the horizontal leg is half the hypotenuse, it must be a 30-60-90 triangle, and x° = 30°
Which of the following are true about a line in Geometry?
a line can be measured
a line does not have to be straight
a line is named using 3 points (3 letters)
O a line has an arrow on both sides indicating that it goes forever in both directions
a line has an arrow on one side indicating that it goes forever in only that
direction
Submit Answer
Answers
Answer:
a line has arrow on both sides indicating that it goes forever in both directions.
Determine whether each quadrilateral is a parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)
Answers
Answer:
Yes it is parallelogram because opposite Angles congruent.
Hope it will help :)❤
Yes, it is a parallelogram. Opposite angles are congruent: ∠A = ∠C and ∠B = ∠D.
A parallelogram is a quadrilateral with two pairs of opposite sides that are parallel and equal in length. In other words, a parallelogram has the following properties:
Opposite sides are parallel.Opposite sides are congruent.The diagonals bisect each other.The angles at each vertex add up to 180 degrees.The quadrilateral in the image is a parallelogram because it has all of the properties of a parallelogram.
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help me please i would appreciate it so so much
Answers
Answer:
w = 120
x = 60
y = 120
z = 60
Step-by-step explanation:
w = 120 (vertically opposite angles)
sum of co interior angles is 180
⇒ w + x = 180 and x + y = 180
w + x = 180
⇒ 120 + x = 180
⇒ x = 180 - 120
⇒ x = 60
x + y = 180
⇒ 60 + y = 180
⇒ y = 180 - 60
⇒ y = 120
z = x (corresponding angles)
z = 60
If n( μ ) = 100, n(A) = 50, n(B) = 20 and n( ) A B ∩ =10, then ( ) c nAB ⎡ ⎤
Answers
Step-by-step explanation:
Correct option is
A
50
n(AΔB)=n(A∪B)−n(A∩B) [As n(A∪B)=n(A)+n(B)−n(A∩B)]
=n(A)+n(B)−2n(A∩B)
=50+20−2(10)=50
Amanda is a sunflower farmer. Her farm is in the shape of a parallelogram with a height measuring 13 kilometers and a base measuring 12 kilometers. What is the total land area Amanda uses?
Answers
Answer:
156
Step-by-step explanation:
To find the area of a rectangle you have to to base x height. Its the same with parrallograms becase most of them look like the attached image. If you simply take one of the triangles off one side and put it on the other it becomes a rectangle. This was the formula A= bh still works.
What evidence from Tutankhamen's tomb supports the theory that he had a genetic disease that made it difficult for
him to walk? Check all that apply.
please help
Answers
Answer:
the first and the second answer
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
This is correct believe me it is.
11 over 7=6 over v what is v
Answers
Answer:
42/11
Step-by-step explanation:
11/7 = 6/v
cross multiply:
11v = 6x7 = 42.
v = 42/11 ≈ 3.81