Answer:
c.) π/4
Step-by-step explanation:
Form the desired ratio and simplify:
A / B = circle area / square area
= (36π)/(144) = (π·36)/(4·36) = π/4 . . . . matches choice C
a and b are positive integers and a−b=2. Evaluate the following: 4^0.5a/ 2^b
Answer: [tex]\frac{4^{0.5 a}}{2^{b}}=4[/tex]
Step-by-step explanation:
We are told [tex]a-b=2[/tex] being [tex]a[/tex] and [tex]b[/tex] positive integers, hence:
[tex]a=2+b[/tex] (1)
Now we have the following expression:
[tex]\frac{4^{0.5 a}}{2^{b}}[/tex] (2)
Which can be also written as:
[tex]\frac{2^{2(0.5 a)}}{2^{b}}[/tex] (3)
Since [tex]4=2^{2}[/tex]
Then, substituting (1) in (3):
[tex]\frac{2^{2(0.5(2+b))}}{2^{b}}[/tex] (4)
Since we have exponents with the same base, we can do the following:
[tex]\frac{2^{2+b}}{2^{b}}=2^{2+b} 2^{-b}[/tex] (5)
Finally:
[tex]2^{2+b} 2^{-b}=2^{2+b-b}=2^{2}=4[/tex] (6)
Hence:
[tex]\frac{4^{0.5 a}}{2^{b}}=4[/tex]
Answer:
4
Step-by-step explanation:
Find a . b if a = (4.3) and b = (4,5).
a. 31
b. (8,8)
c. (16,15)
d. -1
Answer:
answer is c.(16 , 15)
Step-by-step explanation:
Answer:
a. 31
Step-by-step explanation:
It's 31 on edge :)
If the risk-free rate is 4% and the market risk premium is 5.5%, what is Cheyenne’s portfolio’s beta and required return?
The complete question says: "Cheyenne holds a $7,500 portfolio that consists of four stocks. Her investment in each stock, as well as each stock’s beta, is listed in the following table:" The complete table for the question can be seen in the image attached below.
Cheyenne’s portfolio’s beta is 0.965 and the required return is 9.31%
What is portfolio beta and the required return rate?A portfolio's beta is the model that measures the stock's return while estimating the market risk.
The required rate of return is the minimal return an investment will take for holding a company's shares in exchange for taking on a certain amount of risk.
The formula for calculating Portfolio's Beta is:
= Sum of (Beta × Weights)
[tex]\mathbf{= (1 \times (\dfrac{2625}{7500})) + (1.50 \times (\dfrac{1500 }{ 7500})) + (1.10 \times (\dfrac{1125 }{ 7500})) + (0.50 \times (\dfrac{2250 }{ 7500}))}[/tex]
= 0.35 + 0.30 + 0.165 + 0.15
= 0.965
Required Return = Risk Free Rate + (Beta × Premium Market Risk)
= 4% + (0.965 × 5.5%)
= 0.04 + (0.965 × 0.055)
= 9.31%
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What is the median of Restaurant A's service ratings?
1
2
3
4
5
Answer:
3
Step-by-step explanation:
write them out least to greatest- 1 2 3 4 5
then mark out one at a time from front and back- 1 2 3 4 5
then you get one number and that number is 3
Answer:
3
Step-by-step explanation:
Process for finding median:
1. Line the numbers in order from least to greatest.
2. Find the middle number --> it is the median.
3. If there are two middle numbers, find their average. In other words, add the two numbers together and divide your answer by 2.
Hope this helps!
Which correctly describes the two transformations that where used to create the image on the graph?
Answer:
A. Reflection over the y-axis and rotation 90° counterclockwise
Answer:
The answer is A (:
Step-by-step explanation:
Look at the inequality 5x+1 >_35
Answer:
x>_6.8
Step-by-step explanation:
.
16. Carmen had scores of 82%, 72% and 74% on her first three tests of the term. What score will
she need on her fourth test in order to have an average of 80% on the first four tests?
Answer:
92%
The average of 82%, 72%, 74%, and 92% is 80%
She need 92% on her fourth test in order to have an average of 80% on the first four tests.
Here,
Carmen had scores of 82%, 72% and 74% on her first three tests of the term.
We have to find the score of fourth test.
What is Average?
The average (mean) is equal to the sum of all the data values divided by the number of values in the data set.
Now,
Carmen had scores of 82%, 72% and 74% on her first three tests of the term.
To find the score of fourth test in order to have an average of 80% on the first four tests we use the formula of average,
Let the score of fourth test is x.
Then, Average = [tex]\frac{82+72+74+x}{4}[/tex]
[tex]80 = \frac{82+72+74+x}{4}\\\\320 = 228 + x\\\\x = 92[/tex]
Hence, She need 92% on her fourth test in order to have an average of 80% on the first four tests.
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Determine whether each statement is sometimes, always, or never true.
If the volumes of two triangular prisms are the same, the prisms are congruent.
Answer:
Sometimes
Step-by-step explanation:
If the volumes of two triangular prisms are the same, that means that:
[tex]\frac{1}{3} B_1h_1=\frac{1}{3} B_2h_2[/tex] , where B_1 and h_1 belong to one prism and B_2 and h_2 belong to the second.
It is possible that if the volumes are the same, the prisms are congruent. That means that B_1 = B_2 and h_1 = h_2. However, this isn't always the case. Here's a counterexample:
PRISM 1: B = 4, h = 3 ⇒ V = (1/3) * 4 * 3 = 4
PRISM 2: B = 2, h = 6 ⇒ V = (1/3) * 2 * 6 = 4
Their volumes are the same, but their dimensions certainly aren't. So this statement is true only sometimes.
Hope this helps!
Answer:
Sometimes true
Step-by-step explanation:
Volume = ⅓(base area × height)
The product 'base area × height' can be equal if the base and height are congruent, but there are other possibilities too
Example:
Base area of the second one is double but the height is half.
The following are lengths of snakes: 12 1/2, 16 1/2, 17, 24, 16, 16, 13, 12 1/2, 18 1/2, 17 1/2, 17, 16. Which is the greatest snake length? What is the least snake length?
Answer:
18 1/2 is the greatest snake length. 12 1/2 is the least.
Step-by-step explanation:
What is the BEST deal? 1. 60 feet of rope for $8.00 or 200 feet of rope for $30.00 2. 75 pencils for $5.75 or 100 pencils for $7.50 3. 100 thumb tacks for $3.00 or 500 thumb tacks for $16.00 4. 25,000 ball bearings for $275.00 or 60,000 ball bearings for $680.00 5. 60 apples for $43.00 or 90 apples for $63.00
To determine the best deal, divide the total cost by the total quantity for each option to find the cost per unit. Option 4, 25000 ball bearings for $275.00, offers the best deal with the lowest cost per unit.
Explanation:The best deal can be determined by comparing the cost per unit of each item. To do this, divide the total cost by the total quantity for each option.
For option 1, the cost per foot of rope is $8.00/60 ft = $0.133/ftFor option 2, the cost per pencil is $5.75/75 pencils = $0.077/pencilFor option 3, the cost per thumb tack is $3.00/100 thumb tacks = $0.03/thumb tackFor option 4, the cost per ball bearing is $275.00/25000 ball bearings = $0.011/ball bearingFor option 5, the cost per apple is $43.00/60 apples = $0.717/appleBased on these calculations, option 4, 25000 ball bearings for $275.00 offers the best deal with the lowest cost per unit.
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Please help need answers asap!!
Answer:
1. 2
Step-by-step explanation:
1. cross multiply then simplify
Answer to problem 1:
x=2
Reasoning:
1) Simplify 10/20 to 1/2
2) Multiply the numerator and denominator by 2 to get 2/4
Answer to problem 4:
1 in: 18 in
Reasoning:
1) Convert 15 feet to inches
15*12=180
2) Use a ratio of 10 inches to 180 in and simplify it to 1:18
Answer to problem 5:
m = 38.44
1) Use the technique "Cross multiplication" and make the following equation
8.45*7.5=3.6m
2) 8.45*7.5=138.375
3) 138.375=3.6m and divide 3.6 from both sides of the equation,
4) You get 38.4375, and round up to the nearest hundredth of 38.44
Answer to problem 6:
92°
When 2 triangles are similar, their lengths are needed to multiplied by a scale factor but, the angles remain the same.
Sorry, I didn't have enough time to answer the other question...
Hope this helped...
Whats the answer????
Answer:
363
Step-by-step explanation:
The formula is distance time n-1 plus term one.
-92, -85
Every time it adds 7.
7*65+-92=363
Find the upper bound for 96.3cm measured to the nearest tenth of a cm
Final answer:
The upper bound for 96.3 cm, measured to the nearest tenth of a cm, is 96.4 cm. This represents the highest possible value that would round down to 96.3 cm.
Explanation:
The student is asking to find the upper bound for the measurement of 96.3 cm, given that it is measured to the nearest tenth of a cm (centimeter). When measurements are taken to the nearest tenth, this indicates that the actual length could be anywhere from the stated length up to, but not including, 0.1 cm greater. To find the upper bound, you would add 0.1 cm to the stated measurement without including it, meaning the maximum possible actual length just before it would round up to the next tenth of a cm.
To calculate the upper bound for 96.3 cm, you simply add 0.1 cm to it:
96.3 cm + 0.1 cm = 96.4 cm
So, the upper bound is 96.4 cm, as that is the largest value that would still round down to 96.3 cm when measured to the nearest tenth of a cm.
The quotient of −273−21 is
Answer:
-294
Step-by-step explanation:
-273 ÷ -21 = 13
hope this helps
What is the decay factor of the exponential function represented by the table? One-third Two-thirds 2 6
The decay factor of the exponential function represented by the table is \[tex]( \frac{1}{3} \).[/tex]
Explanation:The decay factor of an exponential function in the form[tex]\( y = ab^x \)[/tex]is represented by the base, denoted as 'b.' In this scenario, we're given data in a table format. When observing the relationship between the input and output values, notice that as the input increases by 1 unit, the output decreases by a factor of [tex]\( \frac{1}{3} \) ([/tex]e.g., going from 2 to 6, a change in input by 1 unit results in the output decreasing from 6 to 2, a factor of \( \frac{1}{3} \) of the previous output).
The pattern here illustrates a consistent reduction by a factor of [tex]\( \frac{1}{3} \)[/tex]as the input increases. This characteristic aligns with the decay factor in an exponential function, indicating that the base 'b' in the function[tex]\( y = ab^x \) is \( \frac{1}{3} \).[/tex]This base value of[tex]\( \frac{1}{3} \)[/tex] signifies that the function is an exponential decay, where the output diminishes rapidly as the input increases.
Understanding the relationship between the input and output values is crucial in determining the behavior of an exponential function. In this case, recognizing the consistent factor by which the output decreases as the input increases helps identify the decay factor as [tex]\( \frac{1}{3} \),[/tex]indicating the rate of decrease in the exponential decay function.
The consistent reduction by a factor of[tex]\( \frac{1}{3} \)[/tex] establishes the decay pattern in the given exponential function, leading to the conclusion that the decay factor of the function is [tex]\( \frac{1}{3} \).[/tex]
The decay factor of the exponential function is 1/3
How to determine the decay factor of the exponential function
From the question, we have the following parameters that can be used in our computation:
The table of values
Where, we have
f(0) = 6
f(1) = 2
The decay factor (k) of the exponential function is calculated as
k = f(1)/f(0)
Substitute the known values into the equation
k = 2/6
Evaluate
k = 1/3
Hence, the decay factor of the exponential function is 1/3
At a basketball game, a vender sold a combined total of 208 sodas and hot dogs. The number of sodas sold was three times the number of hot
dogs sold. Find the number of sodas and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
Answer:
Soda- 156
Hot Dogs- 52
Step-by-step explanation:
Final answer:
The vendor sold 156 sodas and 52 hot dogs at the basketball game. This was determined by setting up a system of equations using the total number of items sold and the ratio of sodas to hot dogs, then solving for each.
Explanation:
To find the number of sodas and hot dogs sold at the basketball game, we can set up a system of equations based on the information provided:
Let S represent the number of sodas sold.
Let H represent the number of hot dogs sold.
The problem states two key pieces of information:
The total number of sodas and hot dogs sold is 208: S + H = 208.
The number of sodas sold was three times the number of hot dogs sold: S = 3H.
We can substitute the second equation into the first to solve for H:
3H + H = 208
4H = 208
H = 208 / 4
H = 52
Now that we have the number of hot dogs sold (52), we can find the number of sodas sold:
S = 3H
S = 3 \\( 52 \)
S = 156
The vendor sold 156 sodas and 52 hot dogs.
What is a system of equations?
Answer and Step-by-step explanation:
A system of equations is a group of equations that need to be manipulated in some way that will figure out the values of the variables.
The most common system of equations seen is a system of linear equations, which means that the degree of the variables is no more than 1. These can be solved using elimination, substitution, or even graphing, if applicable.
Hope this helps!
Answer:
A system of equations is 2 or more equations that need to be solved. When you solve a system of equations, the answer is where the equations intersect on a graph. Sometimes there is 2 solutions (equations intersect twice), 1 solution (equations intersect once), no solution (equations don't intersect), or infinite solutions ( equations are the same).
They are usually solved using substitution, elimination, or simply looking at a graph to see where the lines intersect.
Some examples:
2x+3y=15
x-3y=3
y=x^2+1
2x-y= -4
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=10°, and LM = 86 feet. Find the length of KL to the nearest tenth of a foot.
Answer:
495.3 feet
Step-by-step explanation:
delta math i got the problem wrong and it gave me the right answer
Final answer:
To find the length of KL in ΔKLM with a 90° angle at M and a 10° angle at K, we use the sine function with the given hypotenuse length of 86 feet. Calculating sin(10°) times 86 gives approximately 14.9296 feet, which rounds to 14.9 feet.
Explanation:
To find the length of KL to the nearest tenth of a foot in ΔKLM, where ∠M equals 90°, ∠K equals 10°, and LM is 86 feet, we can use trigonometry.
Since LM is the hypotenuse and we want to find KL, which is the side opposite ∠K, we will use the sine function:
sin(∠K) = opposite/hypotenusesin(10°) = KL/86 feetKL = 86 feet × sin(10°)Calculating this we get:
KL = 86 feet × 0.1736 (approximate value of sin(10°))KL ≈ 14.9296 feetKL ≈ 14.9 feet (rounded to the nearest tenth)This provides us with the length of KL in the triangle.
A car traveled 1800 mi at a certain speed. If the speed had been 12 mph faster, the trip could have been made in 5 hr less time. Find the speed.
The speed is ______
mph.
Answer:
i need more details of the question
Step-by-step explanation:
Answer:
Let speed be S
Then hypothetical speed = S + 12
Solve for S to get a speed of 60 mph
Step-by-step explanation:
standard form of this equation
A basketball player made 7 successful free throws from 9 attempts if he should complete 54 attempts, how many successful free throws are expected
Answer:
42
Step-by-step explanation:
9 × 6 = 54
So 7 × 6 = 42 successful throws
A planter in the shape of a square pyramid is being filled with soil. Soil cost $0.78 per cubit cubic foot. What is the cost of filling the planter with soil?
To calculate the cost of filling a planter in the shape of a square pyramid, first, find the volume of the planter using the volume formula of a pyramid (1/3*Base Area*Height) then multiply the volume with the cost of the soil per cubic foot.
Explanation:To calculate the cost of filling the planter with soil, we first need to know the volume of the square pyramid. The formula to calculate the volume of any pyramid is 1/3*Base Area*Height. Once we know the volume, we can multiply it by the cost of the soil per cubic foot, which in this case is $0.78.
For instance, if the volume of your pyramid planter was 10 cubic feet, you would calculate 10 * $0.78 = $7.80. Therefore, in our example, it would cost you $7.80 to fill your square pyramid planter with soil.
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I have 100 pennies in a box. 20 of the pennies were minted in the 1990s, 20 were minted in the 1980s, 40 were minted before the 1980s and the rest were minted in this century.
What is the probability of choosing a penny that was minted in this century?
Answer:
20 pennies
Step-by-step explanation:
20+20+40=80
100-80=20%
Answer:
40%
Step-by-step explanation:
Isabella is solving the equation 4x^2=13x-3 with the quadratic formula
Answer:
x=(3,1/4)
Step-by-step explanation:
Be sure to use the formula...
[tex]-b + or - sqrt{b^{2} - 4ac } / 2a[/tex]
- First, move all variables to one side (left) of the equation. You want one side to be equivalent to zero.
-Next, you need to find a, b, and c. This should be...
a=4
b=-13
c=3
- Knowing this, fill in these variable to go along with the formula. I cannot do this for you, as you should try it on your own. But, you should end up with the solution x= (3,1/4).
- Hope this helps! If you need a further explanation or help on any more problems please let me know, as I would be glad to help anytime.
If the scale of a flag from the image to the actual were 1 inch = 63.75 ft, what would the actual width of a large American flag measure if on the image the flag is 4 inches wide?
Answer:
21.25 feet or 255 inches.
Step-by-step explanation:
The first step in this problem is to covert each measurement to the same system of measurement (feet, inches, meters, etc.).
Let's convert 4 inches to feet.
As there are 12 inches in a foot, and 4/12 = 1/3, 4 inches = 1/3 foot.
Now, multiply 1/3 foot by 63 3/4 (the amount of feet in mixed number form).
63 3/4 * 1/3 = 21 1/4, or 21.25.
Therefore, the final answer is 21.25 feet.
If you want the answer in inches, all you have to do is multiply 21.25 by 12, as there are 12 inches in a foot.
21.25*12 = 255.
So, the alternative answer is 255 inches.
Will give brainlyest
Two lines, A and B, are represented by the equations given below:
Line A: x + y = 6
Line B: x + y = 4
Which statement is true about the solution to the set of equations?
There are infinitely many solutions.
There is no solution.
It is (6, 4).
It is (4, 6).
Answer:
There are no solutions.
Step-by-step explanation:
If x + y equals 6, x + y cannot equal 4 (and vice versa) no matter what values are plugged in. Therefore, there are no solutions.
(9 – 6i) × m = 9 – 6i
What is m?
0
1
9 + 6i
-9 + 6i
To solve for m in the equation (9 – 6i) × m = 9 – 6i, both sides are divided by (9 – 6i), yielding m = 1.
Explanation:The equation given is (9 – 6i) × m = 9 – 6i. To find the value of m, we can divide both sides of the equation by (9 – 6i). Doing so, we get:
m = (9 – 6i) / (9 – 6i) = 1.
Therefore, the value of m is 1.
PLEASE HELP I NEED IT!!!
Month Sales
June $15,872.56
July $15,692.98
August $18,991.21
September $18,099.99
October $16,225.74
Using the Data from the table, list the monthly sales in ascending order by month.
Question 2 options:
July, June, September, October, August
August, July, June, September, October
August, October, September, June, July
July, June, October, September, August
Answer:
This is pretty easy:July, June, October, September, August.
Step-by-step explanation:
All you have to do is look at the least to greatest numbers:)!
SimpleMathmatics.org -SmartieSchool
Please help thank you!
Answer:
8.1
Step-by-step explanation:
1) There are 360 degrees in a circle. Therefore, the arc measure of PQ would be 360-(73+150+65)= 72.
2) The intercepted arc is the same measure as the central, making it 72. Therefore it takes up 72/360 of a circle or 1/5.
3) To find the measure of it, you would find 1/5 of the circumference. C=2πr . C=2(3.14)(6.48)≈ 40.7 .
4) 1/5 of the circumference would be (40.7)/(5)≈8.1
8.1 in.
2x+5=3x-2
pleaaseee help
Step-by-step explanation:
2x + 5 = 3x - 2
3x - 2x = 5 + 2
x = 7
Therefore x = 7
Answer:
X=7
Step-by-step explanation:
2X+ 5=3x-2
5=x-2
7=x