Answer:
40%
Step-by-step explanation:
The second ten natural (counting) numbers are:
11, 12, 13, 14, 15, 16, 17, 18, 19, 20
Out of these, the prime numbers are:
11, 13, 17, 19
This is 4 numbers out of 10; this makes
4/10 = 0.4 = 40%
In the second ten natural numbers (11-20), the prime numbers are 11, 13, 17, and 19, making 4 out of 10 numbers or 40% of numbers in this range, prime.
Explanation:The second ten natural numbers are 11 through 20. To figure out what percent of these are prime numbers, we must first identify the primes in this set. The prime numbers between 11 and 20 are 11, 13, 17, 19. That's four prime numbers. Then, to find the percentage, we take the number of primes (4) and divide it by the total numbers in the set (10). So, 4/10 = 0.4. Multiply this by 100% to convert to a percentage and we have 40%.
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solve the following equation for 2 + √4y -3 = 11
Final answer:
To solve the equation 2 + √(4y - 3) = 11 for y, subtract 2 from both sides, square both sides to remove the square root, then solve for y to find that y = 21.
Explanation:
The question asks to solve the equation 2 + √(4y - 3) = 11 for y. To solve for y, follow the steps below:
First, subtract 2 from both sides of the equation to isolate the square root term: √(4y - 3) = 9.
Now, square both sides of the equation to eliminate the square root: (√(4y - 3))^2 = 9^2, which simplifies to 4y - 3 = 81.
Add 3 to both sides of the equation to isolate the term with y: 4y = 84.
Finally, divide both sides by 4 to solve for y: y = 21.
Therefore, the solution to the equation is y = 21.
Joe is playing a game with a regular die. If the number that turns up is even, he will gain 5 times the number that comes up. If it is odd, he will lose 10 times the number that comes up. He tosses a 3. Express the results as an integer.
a radio commercial for a loan company states: "you only pay for each $500 borrowed." If you borrow $1959 for 251 days, what amount will you repay, and what annual interest rate is the company actually charging? ( assume a 360- day year.)
find two consecutive odd integers whose product is 1 less than 6 times their sum. Domain for the smallest : {-1, 1, 11}
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(−5,−7); y=−2x+1
Write an equation for the line in slope-intercept form.
Answer:
y=-2x-19
Step-by-step explanation:
this is the right answer , i tried the other answer for this and it said it was wrong so
What do March 16, 1948, Feb. 25, 1950, and Aug. 8, 1964 have in common??
Five sandwich rings are each cut into four pieces you then cut each of the pieces into three servings how many servings do you have
13. Apply the rules for order of operations to simplify 2 + 3 − 4 + (5 × 4). A. 9 B. 24 C. 22 D. 21
Estimate sin pi/3 if sin pi/2 = 1 and sin 0 = 0 and sin pi = 0
To estimate the value of sin pi/3, which is roughly 1.047 or 60 degrees, we can use standard trigonometric values. Since pi/3 is closer to pi/2 than pi, where sin achieves its maximum of 1, the value of sin pi/3 should be closer to 1 than 0. Standard trigonometric values confirm that sin pi/3 = sqrt(3)/2 = 0.866.
Explanation:To estimate sin pi/3, we can make use of some standard values in trigonometry. Pi is roughly 3.14, hence pi/3 is roughly 1.047. The sin function gives a result of 1 at pi/2 (or 90 degrees), 0 at 0, and again 0 at pi (or 180 degrees). Thus, it achieves its maximum at pi/2 and then decreases to 0 at pi. Intuitively, since pi/3 (or 60 degrees) is closer to pi/2 than to pi, the sin value at pi/3 should be closer to 1 than to 0. From the standard trigonometric values, we know that sin pi/3 = sqrt(3)/2 which is roughly 0.866.
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19. What are the extremes of the following proportion? 3⁄15 = 12⁄60
Find the derivative of f (x)=(x^2+1)^3 (x^2+2)^6 using chain rule.
The ends of a pipe when measured with a tape measure that has marks every millimeter are exactly at the 0 mark and the 15 meter mark. how would you record this measurement keeping the correct number of significant figures.
how many times larger is the value of the 8 in 80,351 than the value of the 8 in 95,852
what interest rate is needed for $9,500 to earn $900 in 19 months?
Answer:
The interest rate is 5.98%.
Step-by-step explanation:
To find : What interest rate is needed for $9,500 to earn $900 in 19 months?
Solution :
The formula of interest is given by,
[tex]I=P\times R\times T[/tex]
Where,
I is the interest amount I=$900
P is the principle P=$9500
T is the time T=19 months= [tex]\frac{19}{12}[/tex] year.
R is the interest rate
Substitute the value in the formula,
[tex]900=9500\times R\times \frac{19}{12}[/tex]
[tex]R=\frac{900\times 12}{9500\times 19}[/tex]
[tex]R=\frac{10800}{180500}[/tex]
[tex]R=0.0598[/tex]
The rate of interest in percentage is [tex]R=0.0598\times 100=5.98\%[/tex]
Therefore, The interest rate is 5.98%.
To earn $900 from $9,500 in 19 months, an annual interest rate of approximately 5.97% is needed.
To determine the interest rate needed for $9,500 to earn $900 in 19 months, we can use the simple interest formula:
Simple Interest Formula: SI = P × R × T
SI: Simple Interest ($900)
P: Principal ($9,500)
R: Annual Interest Rate (as a decimal)
T: Time (in years)
Convert 19 months into years: 19 months / 12 months/year = 1.5833 years.Substitute the values into the formula: $900 = $9,500 × R × 1.5833.Isolate R: R = $900 / ($9,500 × 1.5833).R = 0.0597, which is approximately 5.97% per year.an appliance store sold 360 microwave ovens last year. Of that amount, 3/8 were apartment-sized models. The number of apartment-sized models sold for the year was what?
multiply:
360 * 3/8 = 360*3 =1080
1080/8 = 135 were apartment sized
1.4t-0.4(t-3.1)=5.8
What is T?
The sum of three consecutive numbers is 72. What is the largest of these numbers?
25 Is the largest number too add up to the sum.
Find examples of decimals in a news paper or magazine,on television,or on the internet.write a real word problem in which multiplies decimals
Decimals can be found in various sources including the internet, and they are used in everyday activities like shopping online. The word problem involves a book sale where a discount is given in decimal form.
Explanation:Decimals are usually found in various sources such as newspapers, magazines, television, and predominantly on the internet. For example, when we read about the latest international currency exchange rates or the percentage rates in the stock market, we encounter decimals.
Let's create a real-world problem involving decimals: Sam is browsing a popular online bookstore. He found a book he wanted to buy for $5.49. However, there is a pop-up stating that for today only, all books are discounted by 0.15 (or 15%). How much would the book cost after the discount?
To find the solution, subtract the discount from the original price in decimal form i.e., $5.49 * 0.15 = $0.82 (approx). Then subtract this amount from the original price, $5.49 - $0.82 = $4.67. So, Sam will pay $4.67 for the book after discount.
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When does the proportion form of newton's second law take the form of an equation?
The proportion form of Newton’s second law is when finding the acceleration of a problem as this is the equation suitable of finding the acceleration and to be able to compute the missing answer to the problem. In the form of the equation, it is ‘a + f / m’.
Q=3X+9XZ solve for X
The required solution is X=Q/3+9Z.
It is required to find the solution is X.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The given expression is
Q=3X+9XZ
We move all terms to the left side and equate to find the value of x we have.
Q=X(3+9Z)
By taking common to x and divide and move each term to left side, we have
X=Q/3+9Z
Therefore, the required solution is X=Q/3+9Z.
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buckets of water dump out at 3:20. one bucket dump out every 16 minute the other every 14 minute. what time will they dump at the same time
julia has just gotten a new job paying 80,000 a year . what would be her estimated federal taxes?
Julia estimated federal taxes will be $ 22,400.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Julia has just gotten a new job paying 80,000 a year .
From the figure the tax will be of 28%.
So, Julia estimated federal taxes will be
= 80,000 x 28/100
= 800 x 28
= $ 22,400
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When jumping, a flea rapidly extends its legs, reaching a takeoff speed of 1.0 m/s over a distance of 0.50 mm . part a what is the flea's acceleration as it extends its legs?
The flea's acceleration is 1,000 m/s².
Further explanationThe problem we overlook this time is about uniformly accelerated motion.
The list of variables to be considered is as follows.
[tex]\boxed{u \ or \ v_i = initial \ velocity}[/tex]
[tex]\boxed{u \ or \ v_t \ or \ v_i = terminal \ or \ final \ velocity}[/tex]
[tex]\boxed{a = acceleration \ (constant)}[/tex]
[tex]\boxed{d = distance \ travelled}[/tex]
Given that a take-off speed of 1.0 m/s over a distance of 0.50 mm.
The initial speed was zero from rest. It was asked about flea's acceleration when she extends her legs.
The formula we follow for this problem are as follows:
[tex]\boxed{ \ v^2 = u^2 + 2ad \ }[/tex]
a = acceleration (in m/s²)u = initial velocity = 0 m/sv = take off speed = 1.0 m/sd = distance travelled = 0.50 mmConverted 0.50 mm to meters: [tex]\boxed{0.50 \ mm = 0.50 \times 10^{-3} \ m = 5.0 \times 10^{-4} \ m}[/tex]
Steps:
We set the formula so that the acceleration becomes the subject.
[tex]\boxed{ \ v^2 = u^2 + 2ad \ }[/tex]
[tex]\boxed{ \ v^2 - u^2 = 2ad \ }[/tex]
[tex]\boxed{ \ 2ad = v^2 - u^2 \ }[/tex]
[tex]\boxed{ \ a = \frac{v^2 - u^2}{2d} \ }[/tex]
Substitute all data into equations.
[tex]\boxed{ \ a = \frac{(1.0)^2 - (0)^2}{2(5.0 \times 10^{-4})} \ }[/tex]
[tex]\boxed{ \ a = \frac{1}{10 \times 10^{-4}} \ }[/tex]
[tex]\boxed{ \ a = \frac{1}{1 \times 10^{-3}} \ }[/tex]
[tex]\boxed{ \ a = 1 \times 10^{3}\ = 1,000 \ m/s^2 \ }[/tex]
We get the flea's acceleration, i.e., 1,000 m/s².
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The Flea acceleration as it extends its leg is [tex]\fbox{\begin\\\ 1000\ m/s^{2}\\\end{minispace}}[/tex].
Further explanation:
Given:
The takeoff speed of the flea is [tex]1.0\ \text{m/s}[/tex].
The distance cover by flea is [tex]0.50\ \text{m/s}[/tex].
To find:
The acceleration of the flea as it extended it legs.
Formula used:
The acceleration of the flea can be obtained by the given formula.
[tex]\fbox{\begin\\\ \math v^{2}=u^{2}+2as\\\end{minisapce}}[/tex] ....(1)
Here, [tex]v[/tex] is the final velocity of flea, [tex]u[/tex] is the initial velocity of flea, [tex]a[/tex] is the acceleration of the flea, [tex]s[/tex] is the distance cover by the flea.
Calculation:
The initial velocity of flea is [tex]0[/tex].
The final velocity of flea is [tex]1.0\text{m/s}[/tex].
The distance cover by flea is in millimeter.
Convert millimeter into meter as follows.
[tex]\fbox{\begin\\\ \begin{aligned}0.50 \text{ mm}&=\dfrac{0.50}{1000}\text{ m}\\&=0.0005\text{ m}\end{aligned}\\\end{minispace}}[/tex]
Now substitute [tex]0[/tex] for [tex]u[/tex], [tex]1.0[/tex] for [tex]v[/tex] and [tex]0.0005[/tex] for [tex]s[/tex] in equation (1) to obtain the value of acceleration.
[tex]\begin{aligned}1^{2}&=0^{2}+(2a\times(0.0005))\\1&=0.001a\\a&=\dfrac{1}{0.001}\\a&=1000\end{aligned}[/tex]
Therefore, the acceleration of the flea is as it extends its leg is [tex]\fbox{\begin\\\ 1000\ m/s^{2}\\\end{minispace}}[/tex].
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Speed and distance
Keywords: Flea, jump, legs, takeoff speed, acceleration , distance cover, 0.05 mm, 1000 meter per second square. Initial velocity, Final velocity
subtract the quotient of 15/3 from the sum of 33 and 7
quotient is division
so 15/3 = 5
sum is addition so 33+7 = 40
40-5 = 35
what percent of 1600 is 20?
20 is 1.25% of 1600.
(Part / Whole) * 100 = Percentage
20 by 1600:
20 / 1600 = 0.0125.
Multiply the result by 100 to get the percentage:
0.0125 * 100
= 1.25%.
So, 20 is 1.25% of 1600.
What is the standard form of 14 ten thousands + 12 thousands
A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 6 1/6 inches
Answer:
5 weeks 2 days
Step-by-step explanation:
A certain plant grows every week = [tex]1\frac{1}{6}[/tex] = [tex]\frac{7}{6}[/tex] inches
1 week = 7 days
Therefore in 1 day the plant grows = [tex]\frac{\frac{7}{6}}{7}[/tex]
= [tex]\frac{1}{6}[/tex] inch
Now we have to calculate number of days in which the plant grows [tex]6\frac{1}{6}[/tex] inches ≈ [tex]\frac{37}{6}[/tex] inch
Number of days = [tex]\frac{\text{Total growth}}{\text{Growth in one day}}[/tex]
= [tex]\frac{37}{6}[/tex] ÷ [tex]\frac{1}{6}[/tex]
= [tex]\frac{37}{6}[/tex] × 6
= 37 days ≈ 5 weeks and 2 days
It will take the plant 5 weeks 2 days to grow [tex]6\frac{1}{6}[/tex] inches.
Assuming that this is a complete, if scrambled, record of Ronald’s May spending and that any overdraft fees incurred do not affect the running total, how many times did Ronald overdraw his account in May
True or false: the standard deviation is the square root of the variance.
Answer:
True. The standard deviation is indeed the square root of the variance.
Explanation:
The standard deviation measures the dispersion or spread of data points around the mean in a dataset. It quantifies the average distance of data points from the mean. Mathematically, it's the square root of the variance, which is the average of the squared differences between each data point and the mean. By taking the square root, we return to the original scale of the data, making the standard deviation more interpretable. A higher standard deviation indicates greater variability, while a lower standard deviation suggests that the data points are closer to the mean, signifying less variability within the dataset.
Write the number 63 in four different ways
Solution:
we have been asked to write the number 63 in four different ways. It can be done as follows
[tex]63=60+3[/tex]
Here we are just adding 3 to 60 and finally we get 63.
[tex]63=6\times10+3[/tex]
This one of the many way of writing 63.
[tex]63=70-7[/tex]
Here we have used the concept of subtraction to write 63.
[tex]63=7\times10-7[/tex]
Concept of subtraction and multiplication to write the number 63.
Hence the four ways have been written.