Answer:
The correct answer to 999x600+20 is 599,980. The calculation can be broken down as follows:
999 x 600 = 599,400
599,400 + 20 = 599,980 duh
Step-by-step explanation:
gg
Tell whether the value is a solution of the inequality r+4>8; r=2
Answer:
No, it is not a solution to the inequality.
Step-by-step explanation:
If r = 2, the equation would be 2 + 4 > 8.
2 + 4 = 6.
6 is NOT greater than 8.
convert 2 Bigha into kattha
Answer:
To convert 2 Bigha into Kattha:
If 1 Bigha = 20 Kattha:
2 Bigha = 2 * 20 Kattha = 40 Kattha
If 1 Bigha = 16 Kattha:
2 Bigha = 2 * 16 Kattha = 32 Kattha
solve the equation x=2/3pir^3 for r
The solution for r is given by \(r=\frac{\sqrt[3]{\frac{3}{2} x} }{\pi }\).
To solve the equation
\(x=(\frac{2}{3} )\pi r^3\) for r,
we need to isolate the variable r.
Let's follow the steps:
Multiply both sides of the equation by \((\frac{3}{2} )\) to cancel out the coefficient \((\frac{2}{3} )\) on the right side:
\((\frac{3}{2} )x=\pi r^3\).
Divide both sides of the equation by π to get rid of it on the right side:
\(\frac{\frac{3}{2} x}{\pi } = r^3\).
Take the cube root of both sides to eliminate the exponent:
\(\sqrt[3]{\frac{3}{2} x} = r\).
Therefore, the solution for r is given by \(r = \frac{\sqrt[3]{\frac{3}{2} x} }{\pi }\).
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50 PTS AND 25 MORE IF U GET BRAIN HELP
Solve the following compound inequality: −2(x + 4) + 10 < x − 7 or −2x + 9 > 3(x + 8)
A: x < 3 or x > −3
B: x > 3 or x < −3
C: x < 7 or x > −3
D: x > 7 or x < −3
Answer:
B
Step-by-step explanation:
-2(x+4) +10 < x - 7
-2x - 8 + 10 < x - 7
-3x < -9
x > 3
-2x + 9 > 3(x + 8)
-2x + 9 > 3x +24
-5x > 15
x < -3
#1
\(\\ \sf{:}\!\implies -2(x+4)+10<x-7\)
\(\\ \sf{:}\!\implies -2x-8+10<x-7\)
\(\\ \sf{:}\!\implies x+2x>2+7\)
\(\\ \sf{:}\!\implies 3x>9\)
\(\\ \sf{:}\!\implies x>\dfrac{9}{3}\)
\(\\ \sf{:}\!\implies x>3\)
#2
\(\\ \sf{:}\!\implies -2x+9>3(x+8)\)
\(\\ \sf{:}\!\implies -2x+9>3x+24\)
\(\\ \sf{:}\!\implies -2x-3x>24-9\)
\(\\ \sf{:}\!\implies -5x>15\)
\(\\ \sf{:}\!\implies x>\dfrac{15}{-5}\)
\(\\ \sf{:}\!\implies x>-3\)
A store-bought 400 toys at a cost of $10 each. The store sold all the toys at a percent markup of 30%. Find the total selling price.
Answer:
Step-by-step explanation:
38+105= 143, 39+104=143, and you will find then adding the numbers
about 2% of the population has a particular genetic mutation. 100 people are randomly selected. find the standard deviation for the number of people with the genetic mutation in such groups of 100.
The standard deviation for the number of people with the genetic mutation in such groups of 100 is 1.4
From the information given,
About 2% of the population has a particular genetic mutation, and 100 people are randomly selected.
The standard deviation for the number of people with the genetic mutation in such groups of 100 is obtained below;
The required standard deviation is,
p = 0.02 and n = 100;
1 - p = 1 - 0.02
= 0.98
σ = \(\sqrt{n*(1-p)*p}\)
σ = \(\sqrt{100*0.02*0.98}\)
σ = 1.4
The standard deviation for the number of people with the genetic mutation in such groups of 100 is 1.4
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Find how much interest $10,000 earns in 4 years in a certificate of deposit paying 4.5% interest compounded quarterly. The interest earned in 4 years is $ (Do not round until the final answer. Then round to the nearest cent as needed.)
According to the Question, The interest earned in 4 years is $1,954.83.
What is compounded quarterly?
A quarterly compounded rate indicates that the principal amount is compounded four times over one year. According to the compounding process, if the compounding time is longer than a year, the investors would receive larger future values for their investment.
The principal is $10,000.
The annual interest rate is 4.5%, which is compounded quarterly.
Since there are four quarters in a year, the quarterly interest rate can be calculated by dividing the annual interest rate by four.
The formula for calculating the future value of a deposit with quarterly compounding is:
\(P = (1 + \frac{r}{n})^{nt}\)
Where P is the principal
The annual interest rate is the number of times the interest is compounded in a year (4 in this case)
t is the number of years
The interest earned equals the future value less the principle.
Therefore, the interest earned can be calculated as follows: I = FV - P
where I = the interest earned and FV is the future value.
Substituting the given values,
\(P = $10,000r = 4.5/4 = 1.125n = 4t = 4 years\)
The future value is:
\(FV = $10,000(1 + 1.125/100)^{4 *4} = $11,954.83\)
Therefore, the interest earned is:
\(I = $11,954.83 - $10,000= $1,954.83\)
Thus, the interest earned in 4 years is $1,954.83.
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Bob owns a hardware store he sells hammers for 15$ on Saturday he sold 36 hammers how much money did he collect for hammers that day
Given:
Bob owns a hardware store he sells hammers for 15$
On Saturday he sold 36 hammers.
The total cost of the hammers =
\(15*36=540\)So, the answer will be $540
You have 7 balls that are each a different color of the rainbow. in how many distinct ways can these balls be ordered? a. 1 b. 7 c. 49 d. 343 e. 5,040
Answer:
5040 ways
Step-by-step explanation:
here we need to find the number of permutations of the 7 balls :
= 7!
= 7×6×5×4×3×2×1
= 5 040
B 1) In the triangle AB| = |AC| and |BC| = 2x - 4 cm. In the triangle |DE| = |EF| and |DF| = x + 4 cm. If m(LBAC) = m(LDEF), then find the value of x.
The calculated value of x in the triangles is 8
Calculating the value of x.From the question, we have the following parameters that can be used in our computation:
|AB| = |AC|
|DE| = |EF|
Also, we have
m(∠BAC) = m(∠DEF)
This means that the triangle ABC and EDF are congruent triangles
So, we have
|BC| = |DF|
Substitute the known values in the above equation, so, we have the following representation
2x - 4 = x + 4
Evaluate the like terms
x = 8
Hence the value of x is 8
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Identify the 15th term of the arithmetic sequence in which a3 = −5 and a6 = −11
To find the 15th term of an arithmetic sequence, we need to determine the common difference (d) and then use the formula for the nth term of an arithmetic sequence.
Given that a₃ = -5 and a₆ = -11, we can find the common difference (d) by subtracting a₃ from a₆:
d = a₆ - a₃
d = -11 - (-5)
d = -11 + 5
d = -6
Now that we know the common difference (d = -6), we can find the 15th term (a₁₅) using the formula for the nth term of an arithmetic sequence:
aₙ = a₁ + (n - 1) * d
In this case, the first term (a₁) is not given, so we cannot determine the exact value of the 15th term. The information provided is insufficient to find the 15th term without knowing the first term of the arithmetic sequence.
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The 15th term of the arithmetic sequence is -89.
Explanation:An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. To find the 15th term of the sequence, we first need to find the common difference.
Given that a3 = -5 and a6 = -11, we can find the common difference by subtracting the third term from the sixth term: -11 - (-5) = -6. The common difference is -6.Now, we can use the formula for the nth term of an arithmetic sequence: an = a1 + (n-1)d. Substituting the known values, we have a1 = -5 and d = -6. Plugging these values into the formula, we find a15 = -5 + (15-1)(-6) = -5 + 14(-6) = -5 - 84 = -89.Therefore, the 15th term of the arithmetic sequence is -89.
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Search the degrees of angle W.
Answer: 65 degrees
===================================================
Explanation:
Let x be the measure of the base angles of the isosceles triangle (indicated by the tickmarks).
The base angles of such an isosceles triangle are congruent.
Use the fact that the interior angles of a triangle add to 180.
x+x+130 = 180
2x+130 = 180
2x = 180-130
2x = 50
x = 50/2
x = 25
Now move your attention to the largest triangle, aka the right triangle.
The lower acute angle is 25, which is what we just found earlier.
The angle w is therefore 90-x = 90-25 = 65
The two acute angles of any right triangle are complementary. They add to 90 degrees.
20 POINTS! Can someone please help me solve this? before 11:59pm.
Answer: 46.0 inches
Step-by-step explanation:
Since this measurement is the diagonal length, this will be a right triangle we can use the Pythagorean theorem where a and b are the legs and c is the hypotenuse.
a² + b² = c²
43² + b² = 63²
1,849 + b² = 3,969
b² = 2,120
b = \(\sqrt{2,120}\)
b ≈ 46.0435
Rounded to the nearest tenth of an inch:
46 inches
How far is it between Cardwell and Claremont if they are 4.5 inches apart on the map?
The map scale is printed in the map legend. It is given as a ratio of inches on the map corresponding to inches, feet, or miles on the ground. For example, a map scale indicating a ratio of 1:24,000 (in/in), means that for every 1 inch on the map, 24,000 inches have been covered on the ground.
A rectangular paperboard measuring 20in long and 16in wide has a semicircle cut out of it, as shown below.Find the area of the paperboard that remains. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
Answer: 219.52 inch^2
Step-by-step explanation:
Given the dimensions of rectangular papaerboard:
Length = 20inches
Width = 16inches
Area of rectangle = Length × width
Area of rectangle = 20 × 16 = 320 in^2
Area of a circle = pi*r^2
Therefore, area of semicircle = (pi*r^2) / 2
Diameter of circle = width of rectangle = 16 inches
Radius = diameter / 2 = 16 /2 = 8inches
Therefore, area of semicircle = (pi*8^2) / 2
= (3.14 × 64) / 2
= 200.96 / 2
= 100.48 inch^2
Therefore, area of paperboard left :
Area of rectangle - area of semicircle
320 - 100.48
= 219.52 inch^2
What is the slope of this line?
Answer:
y= -3x -3
Step-by-step explanation:
Please help me!!!! My 3rd time asking for help foiling this bc I dont know how
What would be the equation of a line that passes through (3,-7), with a slope of -4/3?
solve for the value of w
Answer:
\(w=63\)
Step-by-step explanation:
the equation to solve this is : \((w-8)+(2x-1)=180\)
combine the first side of the equation so you get \(3w-9\)
then add 9 on both sides
divide 3 by 189 which gets you 63.
plug 63 into the equation to double check
hope this helps! :))
Mark says that the number 2 is a rational number because he can write it as the fraction >
Is Mark correct? Why or why not?
O Mark is correct because the denominator, 1, is an integer.
Mark is correct because the fraction is equal to V2.
Mark is not correct because 2 is not equal to the fraction
✓
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Answer:
C and D.
Step-by-step explanation:
I am guessing that he wants to find if 2 is a rational number by comparing it to the fraction \(\frac{\sqrt {2}}{1}\)
There are a couple of reasons why Mark is not correct:
1. A number is rational only if it can be written as a fraction made up of the numerator and denominator as integers.
2. The fraction \(\frac{\sqrt {2}}{1}\) is not equal to 2, so, he is wrong.
So, C and D would be correct.
NOTE: In case I misinterpreted the question, use 1. to judge if it is rational or not, you should get your answer.
Answer:
Mark is not correct because a fraction is rational only if the numerator and the denominator are both integers.
Step-by-step explanation:
This is the correct answer
brainliest pls
P L E A S E H E L P!!!!!!!!!
Answer:
The equation that matches the function shown is option;
C. \(y = sin\left (\dfrac{1}{2} \cdot x\right)\)
Step-by-step explanation:
The given graph of the function is a sinusoidal graph
The values of 'x' and 'y' coordinates at the maximum, x-intercept and minimum points are given as follows;
x, \({}\) y
0 \({}\) 0
π \({}\) 1
2·π \({}\) 0
3·π \({}\) -1
4·π \({}\) 0
We note that sin(π/2) = 1, sin(π) = 0 sin(3·π/2) = -1, and sin(4·π/2) = sin(2·π) = 0
Therefore;
y = the sine of half the x-value
Which is presented as follows;
\(y = sin\left (\dfrac{1}{2} \cdot x\right)\).
Suppose you are assigned the number 1, and the other students in your statistics class call out consecutive numbers until each person in the class has his or her own number. Explain how you could get a random sample of four students from your statistics class. (a) Explain why the first four students walking into the classroom would not necessarily form a random sample. (b) Explain why four students coming in late would not necessarily form a random sample. (c) Explain why four students sitting in the back row would not necessarily form a random sample. (d) Explain why the four tallest students would not necessarily form a random sample.
The variables of interest are grades or study habits, height would not be a factor that affects these variables. Therefore, selecting the four tallest students would not be a random sample.
Suppose you are assigned the number 1, and the other students in your statistics class call out consecutive numbers until each person in the class has his or her own number. To get a random sample of four students from your statistics class, you could use a random number generator to select four numbers between 1 and the total number of students in the class.
Then, you would choose the students with those corresponding numbers as your random sample.(a) The first four students walking into the classroom would not necessarily form a random sample because there could be some sort of ordering or trend to the way students arrive that could bias the sample. For example, the first students to arrive could be the most punctual students, which could be related to other factors that affect the variables of interest.
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A tunnel is constructed with a semielliptical arch. The width of the tunnel is 70 feet, and the maximum height at the center of the tunnel is 20 feet. What is the height of the tunnel 10 feet from the edge? round your answer to the hundredths place.
Considering the equation of an ellipse, it is found that the height of the tunnel 10 feet from the edge is of 14 feet.
The following is the equation for a horizontal ellipse of center with coordinates (h,k):
(x - h)²/a² + (y - k)²/b² = 1.
In relation to this issue, we have that:
The origin is where the center is.
Since the major axis is 70, 2a = 70 and a = 35.
The maximum height is 20, therefore b is equal to 20.
As a result, the ellipse's equation is as follows:
x²/35² + y²/20² = 1.
It is determined that x = 25 when the tunnel is 10 feet from the edge since 35 – 10 = 25; therefore, the height y is calculated as follows:
25²/35² + y²/20² = 1
0.51 + y²/20² = 1
y²/20² = 0.49
y² = 20² x 0.49
y =√(20² x 0.49)
y = 14 feet.
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Find the midpoint of the segment with the following endpoints.
(2, 4) and (6, 8)
Answer:
Halfway between x = 2 and x = 4 is x =3 , and halfway between y = 8 and
y = 6 is at y =7, so the midpoint is (3, 7) .
Step-by-step explanation:
a music store marks up the instruments it sells by 30%.If the store bought a guitar for $45, what will be its store price? Give your answer in money format for example if your answer is 14.2, you should type $14.20. No spaces. *
Answer:
Selling price= $58.5
Step-by-step explanation:
Giving the following information:
Guitar cost price= $45
Mark up percentage= 30%
To calculate the selling price of the guitar, we need to use the following formula:
Selling price= cost price*(1+mark up)
Selling price= 45* (1+0.3)
Selling price= 45*1.3
Selling price= $58.5
What is the equation of the line that passes through the point (-2, -2) and has a
slope of 3?
In 2013 the population of the state of New York was approximately 19.65 million and the population of New York City was 8,406,000 in 2013 how many people in New York State did not live in New York City?
Answer: 11,244,000
Step-by-step explanation:
From the question, we are informed that In 2013 the population of New York state was approximately 19.65 million and the population of New York City was 8,406,000.
To know the number of people in New York State did not live in New York City, we subtract 8,406,000 from 19.65 million. This will be:
= 19,650,000 - 8,406,000
= 11,244,000
Think of a value for a and a value for x so that the triangles are still similar.
Answer:
x=6
a=9
Step-by-step explanation:
Because 21 is 1.5 times 14, and 15 is 1.5 times 10, a has to be 1.5 times x. Also, x must be more than 4 in order for it to make a triangle. To make it simple, I'd use either 6 or 8. Just for ease, I'll use 6.
x=6
a=6*1.5=9
Natalie just rented an apartment for $900 a month for the first year. She was told that the rent will increase by $50 each year. About how much will her rent be in the 7th year
Answer:
The correct answer is $75,900.
Step-by-step explanation:
Which graph represents a proportional relationship (savvas)