Answer: Circumference, C = 15.71 miles
Step-by-step explanation:
The formula for the circumference of a circle is C = 2*pi*r, where C is the circumference and r is the radius. (Value of pi = 3.1415)
In this case, the diameter, d = 5 miles = 2*r, so we can substitute that into the formula:
C = pi*d = 3.1415*5
C = 15.7079 miles
Therefore, the circumference of the circle is approximately 15.71 miles, if we round to two decimal places.
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In 1993, the life expectancy of males in a certain country was 65.2 years. In 1998, it was 67.7 years. Let E represent the
life expectancy in year t and let t represent the number of years since 1993. Determine the linear function E(t) that fits
the data. Use the function to predict the life expectancy of males in 2006.
The predicted Iife expectancy οf maIes in 2006 is 71.7 years.
What is Iinear equatiοn?A Iinear equatiοn is a mathematicaI equatiοn that describes a straight Iine in a twο-dimensiοnaI pIane.
Tο find the Iinear functiοn E(t) that fits the data, we need tο find the equatiοn οf the Iine that passes thrοugh the twο given pοints: (0, 65.2) and (5, 67.7), where t = 0 cοrrespοnds tο the year 1993 and t = 5 cοrrespοnds tο the year 1998.
Using the sIοpe-intercept fοrm οf a Iinear equatiοn, we have:
E(t) = mt + b
where m is the sIοpe οf the Iine and b is the y-intercept.
We can find the sIοpe by using the fοrmuIa:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) = (0, 65.2) and (x2, y2) = (5, 67.7):
m = (67.7 - 65.2)/(5 - 0) = 0.5
Sο the equatiοn οf the Iine is:
E(t) = 0.5t + b
Tο find the y-intercept, we can use οne οf the given pοints. Let's use (0, 65.2):
65.2 = 0.5(0) + b
b = 65.2
Therefοre, the Iinear functiοn E(t) that fits the data is:
E(t) = 0.5t + 65.2
Tο predict the Iife expectancy οf maIes in 2006, we need tο find t when the year is 2006:
t = 2006 - 1993 = 13
Sο we can use t = 13 in the equatiοn:
E(13) = 0.5(13) + 65.2
E(13) = 6.5 + 65.2
E(13) = 71.7
Therefοre, the predicted Iife expectancy οf maIes in 2006 is 71.7 years.
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The perimeter of a rectangular garden is 30 ft. The length is 3 ft more than the width. Find the length and the width of the garden.
Step-by-step explanation:
the perimeter of a rectangle is
2×length + 2×width
in our case
length = width + 3
and
2×length + 2×width = 30
using the first equation in the second :
2×(width + 3) + 2×width = 30
width + 3 + width = 15
2×width + 3 = 15
2×width = 12
width = 12/2 = 6 ft
length = width + 3 = 6 + 3 = 9 ft
please help!!
angle relationships in circles
Answer:60
Step-by-step explanation:
30x2=60
What is the effective interest rate of a simple discount note for $3,500 at a bank discount rate of 11%, for 24 months?
The effective interest rate of the simple discount note is 6%.
The effective interest rate (EIR) of a simple discount note can be calculated using the following formula:
EIR = (Discount ÷ Face Value) x (360 ÷ t)
Where Discount is the difference between the face value and the discounted value, t is the time in days from the issuance of the note until its maturity, and 360 is the number of days in a year used for interest rate calculations.
In this case, the face value is $3,500, the bank discount rate is 11%, and the time to maturity is 24 months or 720 days.
Discounted value = Face value x (1 - Bank discount rate x t ÷ 360)
Discounted value = $3,500 x (1 - 0.11 x 720 ÷ 360)
Discounted value = $3,080
Therefore, the discount is $420 ($3,500 - $3,080).
Using the formula for EIR, we get:
EIR = ($420 ÷ $3,500) x (360 ÷ 720)
EIR = 0.06 or 6%
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48805 rounded to the nearest thousand
Answer: 49,000
48805 is greater than 48500, so it rounds to 49,000
One of outstanding journal recently published an article indicating differences in perception of gender equality on the job between men and women. The article claimed that women perceived the gender equality problem to be much more compared to men. One question asked of both men and women was: "Do you think gender equality is a major problem in the workplace?" 60% of the women responded "Yes", compared to men about 25%. Assuming W designates women's responses and M designates men's, what hypothesis should journal test in order to show that its claim is TRUE?
The journal could use a one-tailed hypothesis test with a significance level (α) of 0.05 to determine whether there is a significant difference between the proportion of women and men.
What is p value?In statistics, the p-value is a measure of the evidence against the null hypothesis. It is the probability of observing a test statistic as extreme as, or more extreme than, the one calculated from the sample data, assuming that the null hypothesis is true. In other words, the p-value is the probability of obtaining the observed results, or more extreme results, if the null hypothesis were true.
Given by the question.
To test the claim that women perceive the gender equality problem to be much more compared to men, the journal could test the following hypothesis:
Hypothesis: The proportion of women who perceive gender equality to be a major problem in the workplace (W) is significantly greater than the proportion of men who perceive gender equality to be a major problem in the workplace (M).
H0: W = M (there is no significant difference in perception of gender equality between men and women)
Ha: W > M (women perceive gender equality to be a major problem more than men do)
who perceive gender equality to be a major problem in the workplace. They could calculate the p-value and compare it to α. If the p-value is less than α, they would reject the null hypothesis and conclude that the proportion of women who perceive gender equality to be a major problem in the workplace is significantly greater than the proportion of men who perceive it to be a major problem.
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Mrs. Brown has constructed a pool that has a capacity of 800cm3 and a depth of 8cm what is the area of the upper surface?
Answer:
Step-by-step explanation:
To find the area of the upper surface of the pool, we need to know the dimensions of the pool. If we assume the pool has a rectangular shape, we can use the formula:
Area = length x width
We can find the length and width by using the given volume and depth. Since the volume of the pool is 800 cubic cm and the depth is 8cm, we can find the length and width using the formula:
Volume = length x width x depth
800 = length x width x 8
length x width = 800/8
length x width = 100
Now, we do not have enough information to determine the exact dimensions of the pool. However, we do know that the area of the upper surface of the pool is equal to the length times the width. Therefore, the area of the upper surface is 100 square cm.
Which of the following values of x makes this inequality true? Circle all that apply
5 + x > 5
A.1/2
B. -10
C. -5
D. 0.000003
E. 1.5
Answer:
A. 1/2
D. 0.000003
E. 1.5
Step-by-step explanation:
The inequality 5 + x > 5 can be simplified as follows:
5 + x > 5
x > 5 - 5
x > 0
Interpret the data in the circle graph. If 560 books were sold at the book fair, find the number of the books that were mystery books.
If 560 books were sold at the book fair,
(Type a whole number.)
of the books were mystery books.
Circle graph
Fantasy 8%
Science
Fiction
12%
Comic 15%
Other 5%
Mystery 20%
-Fictic
Answer:
112
Step-by-step explanation:
According to the circle graph, the mystery books make up 20% of all books sold. So, we can calculate the number of mystery books sold as follows:
Number of mystery books = 20% of 560
= (20/100) x 560
= 112
Therefore, the number of mystery books sold at the book fair was 112.
Find the ratio of the perimeter of △ABC to the perimeter of △XYZ.
The ratio between the perimeter of triangle ABC and the perimeter of triangle XYZ is given as follows:
1/3.
What is the perimeter of a triangle?The perimeter of a triangle is the total length of its three sides. To find the perimeter of a triangle, you need to add up the lengths of all three sides.
The ratio between the side lengths of triangle ABC and triangle XYZ is given as follows:
5/15 = 1/3.
The perimeter of a triangle is measured in units, as area the side lengths, hence they have the same ratio, and thus the ratio between the perimeter of triangle ABC and the perimeter of triangle XYZ is given as follows:
1/3.
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A bucket contains 50 lottery balls numbered 1-50. One is drawn at random. Find each probability.
P(less than 20)
Therefore the probability of drawing a ball with a number less than 20 is 0.38 or 38%.
How to find the probability ?Probability is a measure of an event's likelihood or chance of occurring. It is usually expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is unavoidable.
The probability of drawing a ball with a number less than 20 is calculated by dividing the total number of balls by the number of balls less than 20.
There are 19 balls numbered 1 through 19. As a result, the likelihood of drawing a ball with a number less than 20 is:
P(less than 20) = total number of balls / total number of balls = 19 / 50 = 0.38
So the chance of drawing a ball with a value less than 20 is 0.38, or 38%.
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An Olympic swimming pool is 25 meters wide. How many decimeters
wide is an Olympic swimming pool?
Answer: 2.5 dm
Step-by-step explanation:
Divide 25.0 by 10
= 2.5
State any excluded values of a domain and identify the type of break in the graph at the value of x
f(x)=x+7/x-2
Answer:
The excluded value in the domain is x = 2 because the denominator of the rational function becomes zero at this value of x, which results in division by zero.
At x = 2, there is a vertical asymptote, which means that the graph of the function approaches positive or negative infinity as x approaches 2 from either side.
rewrite the following without an exponet. 3^-4
Answer:i think -81
Step-by-step explanation:3x (-3) = -9. -9x(-3)=27. 27x(-3)= -81
A company makes 140 bags. 47 of the bags have buttons but no zips. 48 of the bags have zips but no buttons. 22 of the bags have neither zips nor buttons. How many bags have zips on them?
Required number of bags which have zips on them are 71.
Here given, A company makes 140 bags.
So, total number of bags = 140
It is also given, 47 of the bags have buttons but no zips 48 of the bags have zips but no buttons.
So, number bags which have buttons but no zips = 47 and number bags which have zips but no buttons = 48
and numbers of bags which have neither zips nor buttons = 22.
If we subtract number of bags which have no zips from total number of bags then we will get total number of bags which have zips
So, number of bags have zips on them
[tex] = 140 - 47 - 22 = 71[/tex]
Therefore, 71 bags have zips on them.
This is a problem of Subtraction.
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f(x) = x². What is g(x)?
WW
(3, 1)
g(x)
-5
y f(x) = x²
5
Click here for long description
A. g(x) = 3x²
B. g(x) = (x)²
2
C. g(x) = x²
2
D. g(x) = (x)
Finding [tex]g(x)[/tex] given that we know [tex]f(x)[/tex] and the graphs for both functions. The correct option is D:
[tex]g(x) = (x/3)^2[/tex]
How to find g(x)?Looking at the graph on the image, we notice that [tex]f(x)[/tex] and [tex]g(x)[/tex] are two quadratic functions, and [tex]g(x)[/tex] is just a dilation o f[tex]f(x)[/tex].
This means that:
[tex]g(x) = A*f(x)[/tex]
Where A is a real number.
We know that:
[tex]f(x) = x^2[/tex]
By looking at the graph in the image, we know that [tex]g(3) = 1[/tex].
Then we can write:
[tex]g(3) = A*f(3) = A*3^2 = 1[/tex]
We can now solve for A:
[tex]A*3^2 = 1[/tex]
[tex]A*9 = 1[/tex]
[tex]A = 1/9[/tex]
We will have:
[tex]g(x) = (1/9)*f(x) = (1/9)*x^2 = (x/3)^2[/tex]
Therefore, the correct option is D.
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Complete question in image attached.
70% of 140 is what value? 20 70 84 98
Answer:
Step-by-step explanation:
70% of 140 is equal to 0.7 x 140 = 98. Therefore, the answer is 98.
Answer:
98
Step-by-step explanation:
70% can also be written as 0.7, therefore, we can multiply 140 by 0.7.
140 x 0.7 = 98.
Plastic souvenir cups come in three different sizes: small (S), medium (M), and large( L). The available colors are red R, white W, and blue B. Make a list to represent all the possible combinations of the different cups based on size and color. Write each outcome in the format (Size, Color).
due by tomorrow!!
The answer of the question based on probability of the representing all the possible combinations of the different cups based on size and color the list is given below,
What is Event?In probability theory, event is set of possible outcomes or results of an experiment or situation. For example, rolling a six-sided die and getting even number is event, as it consists of set of possible outcomes {2, 4, 6}.
Events can also be mutually exclusive or independent. Two events are mutually exclusive if they cannot occur at same time, like rolling a 1 and rolling a 2 on a die.
Events can be simple or compound. A simple event consists of single outcome, like rolling particular number on a die, while compound event consists of more than one outcome, like rolling an even number or rolling number greater than 4 on a die.
Here is a list of all possible combinations of the different cups based on size and color:
Small, Red (S,R)
Small, White (S,W)
Small, Blue (S,B)
Medium, Red (M,R)
Medium, White (M,W)
Medium, Blue (M,B)
Large, Red (L,R)
Large, White (L,W)
Large, Blue (L,B)
There are a total of 9 possible combinations of cup size and color.
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If lines, KI and LY, intersect at point A and m/KAY=4x+39, m/LAI=12x-9, what is m/YAI?
Answer:
0 degrees
Step-by-step explanation:
To find m/YAI, we need to first find the measure of angle KAI, which is the sum of angles KAY and LAI. Then, we can find the measure of angle YAI by subtracting the measure of angle KAI from 180 degrees.
Using the angle addition postulate, we know that:
m/KAY + m/LAI = m/KAI
Substituting the given values, we get:
4x + 39 + 12x - 9 = m/KAI
Simplifying the expression, we get:
16x + 30 = m/KAI
Now, we need to solve for x. To do this, we can use the fact that angles KAY and LAI are supplementary (add up to 180 degrees) since they form a straight line. Thus:
m/KAY + m/LAI = 180
Substituting the given values, we get:
4x + 39 + 12x - 9 = 180
Simplifying the expression, we get:
16x + 30 = 180
Subtracting 30 from both sides, we get:
16x = 150
Dividing both sides by 16, we get:
x = 9.375
Now that we know x, we can substitute it back into the equation we found earlier:
16x + 30 = m/KAI
16(9.375) + 30 = m/KAI
150 + 30 = m/KAI
m/KAI = 180
So, we know that angle KAI measures 180 degrees. To find m/YAI, we need to subtract the measure of angle KAI from 180 degrees:
m/YAI = 180 - m/KAI
m/YAI = 180 - 180
m/YAI = 0
Therefore, we can conclude that the measure of angle YAI is 0 degrees. This means that YAI is not an angle, but a line segment, and it does not have a measure in degrees.
Find the rule x = 8 y = 10 x = 9 y = 12
The equation of the rule that relates x and y is y = 2x - 6.
What is the equation's rule?Anything on one side of the equals sign in a calculation must equal anything on the other side of the equals sign. So long as we maintain the balance on both sides of the equals symbol, we can do whatever we want to an equation.
We can create a system of equations using the provided values (8, 10) and (9, 12) in order to determine the rule that connects x and y. One approach is as follows:
The slope of the line connecting the two locations can be determined first:
m = (y2 - y1)/(x2 - x1) = (12 - 10)/(9 - 8) = 2/1 = 2
The point-slope version of the equation of a line can then be used, using either of the two points:
y - y1 = m(x - x1)
For example, using the first point (8, 10):
y - 10 = 2(x - 8)
Simplifying:
y - 10 = 2x - 16
y = 2x - 6
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The two top concert tours in 2016 were concert A and concert B. Based on average ticket prices, it cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B. Three tickets for concert B cost a total of $687. How much did an average ticket cost for each tour?
The average ticket cost for each concert is given as follows:
Concert A: $188.83.Concert B: $95.67.How to obtain the ticket costs?The ticket costs are obtained by a system of equations, for which the variables are given as follows:
Variable a: cost for Concert A.Variable b: cost for Concert B.It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:
6a + 6b = 1707
a + b = 284.5.
Three tickets for concert B cost a total of $687, hence the cost for concert B is of:
3b = 687
b = 287/3
b = $95.67.
Replacing into the first equation, the cost for concert A is given as follows;
a = 284.5 - 95.67
a = $188.83.
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HELP ME!!! Find the percent equivalent to 14 over 35. 21% 40% 42% 50%
Answer:
The answer is 40% :) Hope this helps!
Use the quadratic formula to solve the equation 2 - 5x-9=0
The answer is x = 5±√61/2, I really hope this helps (:
write the equation of a line perpindicular to y=2x-5 that passes through the point (2,-5)
please help me!!!
The equation of a line perpendicular to y=2x-5 that passes through the point (2,-5) is y = -1/2x - 4.
What is point slope form?The point slope form is given as y - y1 = m(x - x1). When a line's slope and a point on the line are known, the equation may be used to get the equation of the line. Just enter the specified point and slope into the equation and simplify as necessary to utilise the point-slope form.
A line graph can also be drawn using the point-slope form. Plot the provided point on the coordinate plane first before using this form to graph a line. As you move up or down and to the right or left from the starting point, depending on whether the slope is positive or negative, you may utilise the slope to identify more places along the line.
The given equation of the line is y = 2x - 5.
Here the slope is 2.
For a perpendicular line the slope is negative and reciprocal thus.
slope = - 1/2.
Now using the point slope form:
y - y1 = m(x - x1)
y + 5 = -1/2(x - 2)
y + 5 = (-1/2)x + 1
y = (-1/2)x - 4
Hence, the equation of a line perpendicular to y=2x-5 that passes through the point (2,-5) is y = -1/2x - 4.
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1. Identify and clearly label the slope and y-intercept for each equation in slope intercept form. Choose the correct answer from the choices below.
Y=-5
A. Slope is-5 and the y-intercept is (0,0)
B.Slope is zero and the y-intercept is (0,-5)
C. Slope is zero and the y-intercept is (0,0)
D. Slope is -5 and the y-intercept is (0,-5)
Slope is zero and the y-intercept is (0,-5)
What is slope ?
In mathematics, slope is a measure of the steepness of a line. It is defined as the ratio of the vertical change (rise) between two points on the line to the horizontal change (run) between the same two points.
In other words, the slope of a line is the change in the y-coordinate divided by the change in the x-coordinate between any two points on the line. It can also be thought of as the rate at which the line rises or falls as it moves horizontally.
The formula for calculating slope is:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
According to the question:
The equation Y = -5 is already in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Comparing the equation Y = -5 to y = mx + b, we can see that:
The slope, m, is 0, since there is no x-term in the equation.
The y-intercept, b, is -5, since that is the constant value in the equation.
Therefore, the correct answer is:
B. Slope is zero and the y-intercept is (0,-5)
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you randomly draw 2 cards from a standard deck of 52 cards. what is the probability you draw a heart, don't replace it, and pull a club?
PLEASE ANSWER BY 7:00AM Pacific Standard Time!!!!!! 17 pointz
Step-by-step explanation:
There are 52 cards and 13 are hearts
first card heart is then 13 /52 = 1/4 chance
now there is only 51 cards and 13 are clubs
second card club is then 13 / 51 chance
13/52 * 13/ 51 = 169 / 2652 = 13/204 = .0637 chance of Heart - Club
In the figure shown determine the measure of each missing angle. Show your work.
To find the value of the angles we must take as reference the angles that have their value.
How to find the value of the missing angles?To find the value of the missing angles we must take as reference the angles that are labeled with their value. Additionally, we must take into account that the internal angles of a triangle must add up to 180° and the angles of a straight line are 180°. According to the above, the missing angles are:
ABC = 55°ABH = 125°IHJ = 90°JHK = 60°BHD = 50°DBH = 55°HDB = 75°BDE = 105°HDF = 105°EDF = 75°DFG = 145°Learn more about angles in: https://brainly.com/question/28451077
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Pleaseeeeeee HELP!!!!!!
A piece of farm machinery clears 2/15 acre of land in 1/5 of an hour
Answer: D. 2/3
Step-by-step explanation:
If it is 1/5 of an hour, we times it by 5, to get full hour, right?
So, we also do ×5 for the acre of land, so we can get the amount of acres in a full 1 hour.
5 is the same as 5/1 as a fraction
1/5 × 5 = 5/5 ......1 hour
2/15 × 5/1 = 10/15
So we get, 10/15 acre of land cleared in 1 hour
We simplify 10/15,
Which becomes,
2/3.
In conclusion, this is the working out =
2/15 × 5 = 10/15 = 2/3
Mark my answer as the brainliest!20 POINTS ANSWER FOR BRAINLIST SHOW WORK
Subtract. Express the answer in standard Form.
(8s ^2 − 3s − 3) − (−4s ^2 + s − 13)
Answer:
To subtract the second polynomial from the first, we need to distribute the negative sign to all terms inside the second set of parentheses, and then combine like terms:
(8s^2 - 3s - 3) - (-4s^2 + s - 13)
= 8s^2 - 3s - 3 + 4s^2 - s + 13 (distributing the negative sign)
= 12s^2 - 4s + 10 (combining like terms)
The resulting polynomial is already in standard form because the terms are arranged in descending order of degree. Therefore, the final answer in standard form is:
12s^2 - 4s + 10
14509772 rounded to the nearest ten thousand
The nearest ten thousand of the digits 14509 is 14, 000.
How to round to the nearest ten thousand?The rule for rounding to the nearest ten thousand is to look at the last four digits.
If the last four digits of the number is greater than 5000, we have to round the value up but if the number is below 5000 we have to round below.
For example let's round up 27567 to the nearest ten thousands.
Therefore, 7567 is above 5000, Hence, we have to round up. The nearest ten thousand of 27567 is 30000.
Let's round 14509 to the nearest ten thousand.
The nearest ten thousand of 14509 is 14, 000
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