Given simplification:
3√7 + 7√63 + (√7/7)
= 3√7 + 7√(9*7) + (√7/7)
= 3√7 + 7*3√7 + (√7/7)
= 3√7 + 21√7 + (√7/7)
= (3+21)√7 + (√7/7)
= 24√7 + (√7/√7)
= (7*24√7 + √7)/7
= (168√7 + √7)/7
= (169√7)/7
Answer:- 3√7 + 7√63 + (√7/7) = (169√7)/7.
also read similar questions: Simplify the expression: 2√ 20 − 3√ 7 − 2√ 5 + 4√ 63 . A. 2√ 20 − 3√ 7 − 2√ 5 + 4√ 63 B. 2√ 5 + 9√ 7 C. 2√ 20 − 4√ 7 − 2√ 5 D. 2√ 20 − 3√ 7 + 4√ 63...
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To find the product 3/7 times 4/9, Cameron simplified 3/7 to 1/7 and the multiplied the fraction 1/7 and 4/9 to find the product 4/63....
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What is the value of x in the triangle?
Answer:
a. 10√2
Step-by-step explanation:
hey, just use Pythagoras theorem
h²=p²+b²=10²+10²=100+100=200
h²=200, h= √200 =√(100×2)=√100×√2=10√2
If BC = 15, BE = 6, DC = 12, and AD = 8,
then segment DE is parallel to segment
AB.
A bag has 45 yellow, green, and blue jellybeans. 2/5 of the jellybeans are green and 1/3 are blue. How many yellow jellybeans are there?
Answer:
18 green
15 blue
Therefore 12 yellow
Answer:
like 12 yellow jelly beans because 1/3 of 45 is 15 blue and 2/5 of 45 is 18 so just do 15 the 18 which is 33. then 45 -33 which is 12
Y=1/3(x-6)^2 standard form
Answer:
Step-by-step explanation:
Answer: Y = 1/3x^2 - 4x + 12
Step-by-step explanation:
Hope this helps, sorry I don't have an explanation...
Solve the equation 5/x+2 + 4/x+1 = 2
x1 = \(-\frac{3}{2\\}\) , x2 = 3
Answer:
X= - 1.7 or 12.85
Step-by-step explanation:
Using general formula
Joy bought pens at $ 120 a dozen. He sold it for $15 each. What is his profit percent?
Answer:
50%
Step-by-step explanation:
He sold it for Rs 15 each. What is his profit percent? CP of 1 pen = 120/12= 10 SP of 1 pen = 15 Profit = 5 P % = (p/CP)*100=(5/10) x 100 = 50%.
use hardy-weinberg formula to evaluate the following. the frequency of disease xyz is about 1/4300. what is the probability that a mother a carrier?
The probability that a mother is a carrier is approximately 0.018.
The Hardy-Weinberg equilibrium formula can be used to determine the frequency of alleles in a population, as well as to make predictions about the probability of certain traits occurring in the next generation. In this case, we are interested in determining the probability that a mother is a carrier of a particular disease, given that the frequency of the disease is 1/4300.
To use the Hardy-Weinberg formula, we need to know the frequency of both the dominant and recessive alleles in the population. Assuming that the disease allele is recessive (i.e., carriers are heterozygous), we can represent the frequency of the disease allele (q) as
\(q = \sqrt{(1/4300)} = 0.004644.\)
To determine the frequency of carriers (heterozygotes), we can use the formula p * q * 2,
where p represents the frequency of the dominant allele (which is equal to 1 - q in this case).
Therefore:
\(p = 1 - q \\ = 1 - 0.004644 = 0.995356\\q = \sqrt{(1/4300} = 0.004644\\p * q * 2 =0.018\)
Approximately 1.8% of the population will be carriers of the disease allele. This means that the probability that a mother is a carrier is approximately 0.018.
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find the diameter of circle - radius = 926 mi
The diameter of a circle with radius 926 mi is 1852 mi
What diameter of circle?A circle is a round-shaped figure that has no corners or edges.
The diameter of a circle is the line that passes through the centre of the circle and thiuches the two point on a circumference
The circumference of a circle is the outer body of the circle.
The radius of a circle is the line from the centre that joins the circumference of the circle.
The radius is half of the diameter and also the diameter is twice of radius.
Therefore diameter = 2 × radius
radius = 926 mi
diameter = 2 × 926
= 1852 mi
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Help, please, I’m so confused
Answer:
Uhhh just do all the process corectly :)
Answer:
See Explanation
Step-by-step explanation:
While multiplying exponents with the same bases, we add the exponents.
Formula:
\( \huge \red{ \boxed{\bigg( {a}^{m} \bigg). \bigg( {a}^{n} \bigg) = {a}^{m + n} }} \\\)
SOLUTION:
\( \huge \bigg( {7}^{ \frac{3}{4} } \bigg). \bigg( {7}^{ \frac{3}{4} } \bigg) \\ \huge = {7}^{ \frac{3}{4} + \frac{3}{4} } \\ \huge = {7}^{ \frac{6}{4} } \\ \huge = {7}^{ \frac{3}{2} } \\ \huge = \sqrt{ {7}^{3} } \\ \huge = 7 \sqrt{7} \)
a company is considering investing in a new state-of-the-art machine, which initially costs $450,000 and will have a useful life of four years. the projected annual after-tax cash flows are $100,000 for the first two years and $200,000 for the subsequent two years. at the end of the fourth year, the machinery can be salvaged for $75,000. the required rate of return is 12%.
The company is considering investing in a new machine costing $450,000, with a useful life of four years. The projected annual after-tax cash flows are $100,000 for the first two years, $200,000 for the next two years, and a salvage value of $75,000 at the end of the fourth year. With a required rate of return of 12%, we can calculate the net present value (NPV) to determine whether the investment is favorable.
To determine the net present value (NPV), we need to discount the projected cash flows to their present values and subtract the initial investment.
1. Calculate the present value of the cash flows:
The present value (PV) of each cash flow is calculated using the formula:
PV = CF / (1 + r)^n
Where CF is the cash flow, r is the required rate of return, and n is the number of years.
For the first two years, the cash flow is $100,000 annually. Using the formula, we have:
PV1 = $100,000 / (1 + 0.12)^1 = $89,285.71
PV2 = $100,000 / (1 + 0.12)^2 = $79,685.76
For the subsequent two years, the cash flow is $200,000 annually. Using the formula, we have:
PV3 = $200,000 / (1 + 0.12)^3 = $142,857.14
PV4 = $200,000 / (1 + 0.12)^4 = $127,551.02
Finally, we calculate the present value of the salvage value at the end of the fourth year:
PVsalvage = $75,000 / (1 + 0.12)^4 = $53,133.63
2. Calculate the NPV:
The NPV is obtained by subtracting the initial investment from the sum of the present values of the cash flows:
NPV = PV1 + PV2 + PV3 + PV4 + PVsalvage - Initial Investment
Substituting the values, we have:
NPV = $89,285.71 + $79,685.76 + $142,857.14 + $127,551.02 + $53,133.63 - $450,000
NPV = $42,513.26
Since the NPV is positive ($42,513.26), the investment in the new machine is favorable. The company can expect a positive return on its investment at the required rate of return of 12%.
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PLEASE HELP ME IM BEGGINGG
A spinner consists of eight equal regions as shown.
What is the probability that the arrow will land on a region lettered A and
then spun again and land on D?
Answer:
Pro of landing on A = 3÷8
Step-by-step explanation:
Pro of Landing on D =1÷8
Pro of all ={3÷8}+{1÷8}=0.5
Since the answers are on percentage you multiply by hundred
Therefore your answer will be 0.5 ×100
Mr. Swanson drove 200 miles in four hours at a consistent speed using the graph plot the total distance he drove after each shower in find his consistent speed in miles per hour
The 4th ans pls anyone?
Answer:
associative property of multiplication
Step-by-step explanation:
I hope this helps you :)
The following histogram was compiled as part of a survey taken door to door on a Monday morning from 10 A.M. to 2 P.M.
It lists the ages of the respondents. What is a reasonable explanation for the large gap?
I'd really appreciate the answer to this. Please and thank you :).
Data from a voluntary response sample, which is not representative of the population, are included in the histogram.
What is meant by histogram?A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. Each column's data count or percentage of occurrences are shown on the vertical y-axis. Data distribution patterns can be seen visually using columns.
A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.
Histograms show numerical or quantitative data, whereas bar charts show categorical factors.
Therefore, the correct answer is option b) The histogram includes data from a voluntary response sample which is not representative of the population.
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Answer this please!!!
Answer:
$40
Step-by-step explanation:
Sort the tiles according to whether they describe Japanese haiku, English romantic poetry, or both
can use thyme
Haiku
Romantic Poetry
Both
has no set form
uses a kigo
never rhymes
can focus on nature
Answer:
Japanese Haiku:
a) Uses Kigo
b) Never rhymes
English Romantic Poetry:
a) Can use rhyme
b) Has no set form
Both Japanese Haiku and English Romantic Poetry can focus on nature
Step-by-step explanation:
The Japanese Haiku is a short and concise form of poetry originating in Japan. It focuses on the natural world and elements of love.
The English Poetry is a form of poetry that has no particular form. In fact it is one of the most diverse form of poetry. In addition, it can use rhymes and can often be about nature.
A population of 30 sasquatch is released in a wildlife region. The population doubles each year for 4 years. What is the population after 4 years?
Answer:
480 sasquatch
Step-by-step explanation:
Year one: 30 x 2 = 60 sasquatch
Year two: 60 x 2 = 120 sasquatch
Year three: 120 x 2 = 240 sasquatch
Year four: 240 x 2 = 480 sasquatch
Answer:
480
Step-by-step explanation
If three hamburgers cost $7.50 altogether what is the price of one hamburger
Answer:
$2.50
Step-by-step explanation:
Mario is buying a pair of shoes that are on sale for 15% off the original price, p. After he uses a $50 gift card, the total cost before taxes is $42.75. What was the original price of the shoes?
Using proportions, it is found that the original price of the shoes was of $100.29.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, or operations such as multiplication and division involving the given proportion.
One example of application is for discount problems, as we can find either the discounted price or the original price.
For this problem, we have that the price will be obtained considering these following factors:
He uses a $50 gift card.The cost with the 15% discount(85% of the original price) is of $42.75.Hence the price considering the gift card is:
0.85x = 42.75
x = 42.75/0.85
x = $50.29.
Adding the $50 gift card, the original price was of $100.29.
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Which of the following describes the solution to the equation c²+2c-4-1-2c? O-5 is an extraneous solution, and 1 is a true solution. O-5 is a true solution, and 1 is an extraneous solution. O Both -5 and 1 are true solutions. O Both -5 and 1 are extraneous solutions.
Both -5 and 1 are extraneous solution to the equation
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
c²+2c-4-1-2c = 0
c²+2c-2c -4-1 = 0
c²-5 = 0
Therefore both -5 and 1 are extraneous solution in the equation.
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SOMEONE HELP ME PLSSSS
simplify (pic below)
Answer:
10^11
Step-by-step explanation:
This question helps you practice some exponent rules. To "fix" a negative exponent you push it across the fraction bar. The 10^-3 on the bottom becomes a 10^3 on the top. See image.
Then, when you have 10^8 • 10^3, that is when you are multiplying, you add the exponents.
10 ^ (8+3)
= 10^11
see image
A sinusoidal function has a frequency of 16π, a maximum value of 12, a minimum value of −6 , and a y-intercept of 3. Which function could be the function described?.
A sinusoidal function with a frequency of 16π, a maximum value of 12, a minimum value of -6, and a y-intercept of 3 can be modeled using the general equation of a sinusoidal function, which is:y = A sin (Bx - C) + D, where A is the amplitude, B is the frequency, C is the horizontal shift, and D is the vertical shift.
The given frequency is 16π. The value of B is equal to 2π divided by the period. Therefore, the period of the function is 1/16.π.
The amplitude is equal to the difference between the maximum and minimum values divided by 2. Therefore, the amplitude is 9.
The vertical shift is equal to the y-intercept, which is 3. The general equation for the sinusoidal function is:y = 9 sin (16πx) + 3
Hence, the function that could be described as the one described in the problem is:y = 9 sin (16πx) + 3, and it is the function that models the given sinusoidal function in general form with the characteristics provided.
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The sinusoidal function described is y = 9 sin(16πx) + 3. This is derived by identifying the amplitude, frequency and vertical shift.
Explanation:The sinusoidal function described could be written as:
y = A sin(Bx) + D
In this case, the amplitude A is half the difference between the maximum and minimum, so A = (12 - -6) / 2 = 9. The frequency B is 16π. The vertical shift D is the average of the maximum value and the minimum value, so D = (12 + -6) / 2 = 3. Thus, we get:
y = 9 sin(16πx) + 3
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(9xyz)8
How do I solve this
7.64 -5.18
Estimate: ?
7.64 - 5.18 = 2.46
if we were estimating by the whole number it would be 2
however if estimated by the tenths place it would be 2.5
Answer:
the answer would be 2.46. Round up to 2.50 for estimate
Step-by-step explanation:
-4(5k - 7) + 2k = -2(9k + 5)
Please help meh ! I’ll mark you as the brainliest
Answer:
Guava has the most, Nelli juice has second most, Mango juice has third most Papaw juice has 4th most, Woodaple has the least
Step-by-step explanation:
Answer:
From smallest portion to biggest
Wood apple juice,
Papaw juice,
Mango juice,
Nelli Juice
Step-by-step explanation:
By looking at this graph we cam tell Guava juice has the most since it has the biggest section.
Now we can tell Wood apple juice isn't a popular option because it has the smallest section
Now to fill in the gaps, Papaw juice has the second least amount, then Nelli has third least amount, and and Guava Juice has the most.
Each side of the regular pentagon is 5 centimeters. What is the perimeter?
Answer:
It will be 25 cm.
Angie's class took a field trip to the art museum. They left school at 10:25 A.M. It took them 1 hour and 15 minutes to drive to the museum. They stayed at the museum for 1 hour and 55 minutes. What time was it when Angie's class left the museum?
according to my answer this is wrond because you are wrong
Step-by-step explanation:
palhschal pagal
solved previously. for each integer $n$, let $f(n)$ be the sum of the elements of the $n$th row (i.e. the row with $n 1$ elements) of pascal's triangle minus the sum of all the elements from previous rows. for example,\[f(2)
By applying Pascal's triangle concept for the f(n) as per given condition the value f(2) is 1.
To find f(2), calculate the sum of the elements in the second row of Pascal's triangle
and subtract the sum of all the elements from the previous rows.
Pascal's triangle is formed by starting with a row containing only 1
and then each subsequent row is constructed by adding the two numbers above it.
The first row of Pascal's triangle is simply 1.
The second row of Pascal's triangle is 1 1.
To calculate f(2), sum the elements in the second row and subtract the sum of the elements in the previous rows.
Sum of elements in the second row = 1 + 1 = 2
Sum of elements in the first row = 1
This implies, f(2) = 2 - 1 = 1.
Therefore, using Pascal's triangle the value f(2) is equal to 1.
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There are 152 basketball fans who plan to go to a game. How many buses will be needed, given that each bus can hold 31 fans?
Answer:
182
Step-by-step explanation:
152
+31
---------
182