Answer:
The circumference of a circle is calculated using the formula: C = πd, where C represents the circumference and d represents the diameter of the circle.
In this case, the diameter of the circle is given as 24 inches.
Using the formula, we can substitute the values:
C = πd
C = 3.14 * 24
C ≈ 75.36 inches
Therefore, the circumference of a circle with a diameter of 24 inches (and using π = 3.14) is approximately 75.36 inches.
Step-by-step explanation:
The figure below is a scale drawing of an office courtyard using the scale 1 centimeter = 4 feet.
Which figure is a scale drawing of the same courtyard using the scale 1 centimeter = 3 feet?
Using proportions, it is found that option A gives a figure that is a scale drawing of the same courtyard using the scale 1 centimeter = 3 feet.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Researching this problem on the internet, the figure with a scale of 1 cm = 4 feet has the dimensions of:
51 cm, 75 cm, 30 cm and 72cm.
For a scale of 1 centimeter = 3 feet, these measures will be multiplied by 4/3, hence the figure is given in option A, as:
51 x 4/3 = 68 cm.75 x 4/3 = 100 cm.30 x 4/3 = 40 cm.72 x 4/3 = 96 cm.More can be learned about proportions at https://brainly.com/question/24372153
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Given the function f(x) = 6x + 1 and the linear function g(x), which function has a greater slope?
image shows : positive linear function increasing through 2 comma 3 and 3 comma 7
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.
Answer:
f(x) has a greater slope.
Step-by-step explanation:
The slope of the image line
= difference in y coordinates / difference in x coordinates
= (7-3) / (3-2)
= 4.
The slope of f(x) = 6x + 1 is 6.
The function f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4.
What is mean by straight line?
A straight line is a combination of endless points joined on both sides of the point.
Given that;
The function, f(x) = 6x + 1
And the function g(x) is a linear function which passes through the points (2 , 3) and (3, 7).
Since, The slope 'm' of any straight line is given by:
m = (y₂ - y₁) / (x₂ - x₁)
And, m = d/dx (f(x))
So, The slope of function f (x) will be;
f(x) = 6x + 1
M = d/dx (f(x))
M = d/dx (6x + 1)
M = 6
And, Slope of linear function which passes through the points (2 , 3) and (3, 7) is;
m = (7 - 3) / (3 - 2)
m = 4/1
m = 4
Thus, The function f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4.
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The perimeter of quadrilateral ABCD is 85. Find the value of x.
The perimeter of ABCD can be calculated using the following formula: Line AB + Line BC + Line CD + Line DA = Perimeter ABCD.
What is meant by Quadrilateral?A quadrilateral is a four-sided polygon with four angles and four vertices. The term "quadrilateral" comes from the Latin words "quadri," which means "four," and "latus," which means "side." A quadrilateral is depicted in the image above. The outcome of an image The perimeter of the quadrilateral ABCD is 85 feet. Find out what the value of x is.The perimeter of a quadrilateral is the entire length of its boundary. Perimeter = AB + BC + CD + DA, for example, can be used to define the perimeter of the quadrilateral ABCD.The perimeter is 85. (the total of all sides). X = 5.5, and 4x + 3x + 4 + 5x-7 + 6x-11 = 85 (18x - 14 = 85). 18 x = 85 + 14 = 99.Therefore,
The perimeter of ABCD can be calculated using the following formula: Line AB + Line BC + Line CD + Line DA = Perimeter ABCD.
When we substitute the provided values, we get: ABCD perimeter = 9 units plus 5 units plus 9 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units plus 5 units As a result, the perimeter of ABCD is 28 units.
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Please help, I'm not sure how to do this one!
The average teacher salary in a certain state is $52,300. If the standard deviation is $8,260, find the standard score for the following teacher salaries.
Teacher A: $56,236
Teacher B: $36,875
Breaking strengths of a random sample of 28 molded plastic housing were measured, and a sample standard deviation of S=19.52 was obtained. A confidence interval (439.23, 460.77) for the average strength of molded plastic housings were constructed from these results. What is the confidence level of this confidence interval?
The confidence interval of this confidence level as calculate from the given data is 3.68 and 99% respectively.
Number of random sample (n)=28
Sample Standard deviation (S)=19.52
Confidence interval = 439.23 - 460.77 = 21.54
t = s/root of n
=19.52 /5.29
=3.68
v = n -1 = 27
now, confidence level
= 1 - alpha
= 99%
Confidence Interval, put simply, is a range within which we are confident that the genuine value exists. The probability that a confidence interval will contain the real parameter value depends on the confidence level that is chosen for the interval.
The phrase "Confidence Interval" refers to the range of values that is typically used to handle population-based data, extracting precise, important information with a given level of confidence.
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Question 3
5 1
Divide 6 • 12
Answer:
5/6 divided by 1/12 = 10.
Hope this helped!
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
(5/6)÷(1/12) = 10
Find the GCF of 12, 9, and 15
Answer:
3
Step-by-step explanation:
We write out the frat ors
1,3,9
1,2,3,4,6,12
1,3,5,15
3 is the largest number they have in common
Hopes this helps please mark brainliest
At a meeting for math enthusiasts, two entrance fees are charged. Anyone who knows the code word “algemath” only pays 2 euros. Those who are unlucky and do not know the code word pay three euros more. You know that 7338 people were present and that the cashier received 17487 euros. How many people knew the password?
Number of People who knows the Code are 6401
What is Linear Equation in Two Variable?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let, Number of People who kows the Code be x
Number of Peoplee who do not know the Code be y
According to the Question:
x + y = 7338 ----------(i)
2x + 5y = 17487 ----------(ii)
Multiplying Equation (i) by 2
2x + 2y = 14676 ---------(iii)
Substracting Equation (iii) from Equation (ii)
3y = 2811
y = 937
This means x = 6401
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HELP! A’B’C’ is a reflection of ΔABC. Which best describes the reflection? *
Answer:
the second one
Step-by-step explanation:
Find the greatest common factor of 8 and 24.
Answer:
8
Step-by-step explanation:
Factors of 8: 1, 2, 4, 8
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
They do share a few factors but the greatest one shared between the two is 8
2. At 1 pm, you leave Ellensburg at a constant speed of 75 miles per hour. At 2:30 pm, your
friend discovers that you have left your iPhone and knows you cannot live without it.
Your friend jumps in a car and leaves Ellensburg at a constant speed of 90 miles per hour.
a. How many hours will your friend drive in order to catch you?
b. How far from Ellensburg will you both be at that time?
Here, we are required to determine how many hours your friend will drive in order to catch you.
(a) Your friend will have to drive 7 and a half hours inorder to catch you.
(b) You both will be 675 miles away from Ellensburg at that time.
If you leave at 1 pm; At 2:30pm;
That is; 1 and a half hours after leaving; you must have covered a distance, d = 75 × 1.5d = 112.5miles.Therefore, your position; S after 2:30pm is given by;
S(a) = 75t + 112.5 miles from Ellensburg.
For your friend; travelling at 90miles/hr;
His position is given as; S(b) = 90 × t(a) For your friend to catch you, you both must be in the same position;
i.e S(a) = S(b)75t + 112.5 = 90t
90t -75t = 112.5
t = 112.5/15
t = 7.5hours
(b) To determine how far you both are from Ellensburg; we can either evaluate:
S(b) = 90t or S(a) = 75t + 112.5
Therefore, By evaluating S(b) = 90t.
S(b) = 90 × 7.5
S(b) = 675miles from Ellensburg.
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My friend will drive 7 1/2 hours to catch me, and we'll both be 675 miles from Ellensburg by then.
Since at 1 pm, you leave Ellensburg at a constant speed of 75 miles per hour, and at 2:30 pm, your friend discovers that you have left your iPhone and knows you cannot live without it, and your friend jumps in a car and leaves Ellensburg at a constant speed of 90 miles per hour, to determine how many hours your friend drive in order to catch you, and how far from Ellensburg will you both be at that time, the following calculations must be performed:
2:30 - 1:00 = 1:30 = 1.5 75 x 1.5 = 112.5 90 - 75 = 15 112.5 / 15 = 7.5 7.5 x 90 = 675
Therefore, my friend will drive 7 1/2 hours to catch me, and we'll both be 675 miles from Ellensburg by then.
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simply combining like teams 3a-2b-ab-(a-b+ab)-4ab+2b-a if l write tge answers as 1a- 6ab is it correct ?
Answer:
-6 a b + b + a
Step-by-step explanation:
Simplify the following:
-(a - b + a b) - a b - 4 a b + 2 b - 2 b + 3 a - a
Hint: | Group like terms in 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a.
Grouping like terms, 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a = -(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b):
-(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b)
Hint: | Combine like terms in -a b - 4 a b.
a b (-1) + a b (-4) = -5 a b:
-(a b - b + a) + -5 a b + (3 a - a) + (2 b - 2 b)
Hint: | Combine like terms in 3 a - a.
3 a - a = 2 a:
-(a b - b + a) - 5 a b + 2 a + (2 b - 2 b)
Hint: | Look for the difference of two identical terms.
2 b - 2 b = 0:
-(a b - b + a) - 5 a b + 2 a
Hint: | Distribute -1 over a b - b + a.
-(a b - b + a) = -a b + b - a:
-a b + b - a - 5 a b + 2 a
Hint: | Group like terms in -a b - 5 a b + b + 2 a - a.
Grouping like terms, -a b - 5 a b + b + 2 a - a = (-a b - 5 a b) + b + (-a + 2 a):
(-a b - 5 a b) + b + (-a + 2 a)
Hint: | Combine like terms in -a b - 5 a b.
a b (-1) + a b (-5) = -6 a b:
-6 a b + b + (2 a - a)
Hint: | Combine like terms in 2 a - a.
2 a - a = a:
Answer: -6 a b + b + a
Which choice correctly expresses the number below in scientific notation?
5,790,000
A) 5.79 • 10^7
B) 579 • 10^4
C) 57.9 • 10^5
D) 5.79 • 10^6
E) 579 • 10^6
F) 5.79 • 10^5
Answer:
D
Step-by-step explanation:
In scientific notation, the number that is being multiplied by the power of ten must be greater than or equal to 1 and less than 10. This eliminates options B, C, and E. The rest of the options are all 5.79 times something. To find that something, we can do 5,790,000 / 5.79 = 1000000 = 10⁶. This means that the answer is D.
Abigail earned $10.26 for babysitting her cousin for 3 hours. How much did she earn in each hour?
Divide total earned by number of hours:
10.26/3 = $3.42
She earned $3.42 per hour
Xavier has 29 baseball
cards he'd like to share
with his 3 best friends.
Each friend gets an equal
number of cards. How
many baseball cards will
be left over?
Math
Answer:
2
Step-by-step explanation:
29 % 3 = 9
3x9 = 27
29 - 27 = 2
Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. Sienna wants to know the probability that at least 2 of the colors will be the same. Which of the following is the best simulation? Explain your reason for your answer.
A. Roll a standard number cube 5 times for each trial. Let each number represent a different color. Run 50 trials and find the fraction of times that at least two of the same number are rolled.
B. Create a spinner with 5 equal sections. Label each section with a different color. Spin the spinner 7 times to see if it lands on the same color two or more times.
C. Create a spinner with 7 equal sections. Label each section with a different color. Spin the spinner 5 times for each trial. Run 50 trials and find the fraction of times the spinner lands on the same color two or more times.
D. Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.
The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.
Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.
So, the probability of picking any color at random is
P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.
Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:
P(X ≥ 2) = 1 - P(X < 2).
The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.
Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.
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3. A store sells boxes of juice bottles, all the same size. Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. What is the largest possible number of bottles contained in each box? If each box contains as many bottles as possible, how many boxes did each person buy
Help me plz AND PLZ NO LINKS I need help ASAP I WILL TRY TO GIVE YOU BRAINLIST IF U HELP ME
Step-by-step explanation:
we are looking for the greatest common factor of the 3 numbers.
e.g. by prime factorization :
18 = 2×3×3
36 = 2×2×3×3
45 = 3×3×5
the largest chain of prime factor multiplication that is contained in all 3 numbers is 3×3.
the GCF is therefore 3×3 = 9.
and that (9) is the largest possible number of bottles in one box.
oh, and Garth (18 bottles) bought therefore 2 boxes.
Rico (36 bottles) bought 4 boxes.
Mai (45 bottles) bought 5 boxes.
PLEASE PLEASE HELP I NEED HELP
Answer:
See numbers for each part of the box-whisker plot below
Step-by-step explanation:
the left whisker should start at the value 63 (the minimum)
The first Quartile (beginning of the box on the left is at the point 68.5.
The median is the value: 73 (notice this is the actual value at the middle of the list)
The third Quartile (end of the right hand box) is at the point 84.5
the end of the right hand side whisker is at the maximum of your list: 92
What is the area of the region of points
satisfying the inequalities x ≤ 0, y ≤ 0, and
y ≥ |x + 4| − 5?
the area of the region of points satisfying the inequalities x ≤ 0, y ≤ 0, and y ≥ |x + 4| − 5 is 12.5 square units.
what are the similarities and differences in linear and exponential in intercepts?
what are the similarities and differences in linear and exponential in domain and range?
what are the similarities and differences in linear and exponential in asymptotes?
what are the similarities and differences in linear and exponential in misc.?
Answer:
What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.
Graph of linear function
Graph of linear function
A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.
A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.
Examples of linear functions include:
If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.
Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.
If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.
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Exponential Functions
What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.
Graphs of exponential functions
Graphs of exponential functions
An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.
An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.
Examples of exponential functions include:
Step-by-step explanation:
SOMEONE ANYONE PLEASE HELP!!!
The graph of g(x) is obtained from the graph of f(x) by the following transformations:
- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).
- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).
In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.
Here is a more detailed explanation of the transformations:
- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).
- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).
Pls, look at picture for the question. Also did I graph it right?
Answer:
\(y=2x\)
Step-by-step explanation:
Please excuse my terrible drawing.
Since the hours you spent outdoors will be double the hours you spent on TV, you can come up with an equation where y, door hours, is equal to 2 times x, TV hours
\(y=2x\)
what is the area of the figure below?
Answer:
does it give you multiple choice questions??
Answer:
Step-by-step explanation:
A point at (-5,7) is reflected across the x-axis. The new point is then reflected across he y-axis. What prdered pair names the third point? Explain.
Answer:
Step-by-step explanation:
A large department store is prepared to buy 3,800 of your tie-dye shower curtains per month for $6 each, but only 3,500 per month for $11 each. What is the linear demand function for your tie-dye shower curtains?
q(p) =
Answer: q = -40p + 4,040
Step-by-step explanation:
$6 each for 3,800 shower curtains per month
$11 each for 3,600 shower curtains per month
The slope of the demand line is \(\frac{3800 - 3600}{6 - 11} = \frac{200}{-5} = -40\)
The demand function is q = -40p + c
3,800 = -40*6 + c
c = 4,040
The linear demand function is q = -40p + 4,040
PLEASE MARK BRAINLIEST
Find the exact values of the six trigonometric functions of the angle.
1395°
sin 1395°
cos 1395°
tan 1395°
Answer:
\(\sin(1395)=-\frac{\sqrt 2}{2}\\\cos(1395)=\frac{\sqrt 2}{2}\\\tan(1395)=-1\)
Step-by-step explanation:
First, instead of doing 1395, let's find its coterminal angles. We can do so by subtracting 360 until we reach a solvable range. So:
\(1395-360=1035\)
This is still too high, continue to subtract:
\(1035-360=675\\675-360=315\\315-360=-45\)
So, instead of 1395, we can use just -45.
So, evaluate each trig function for -45:
1)
\(\sin(1395)=\sin(-45)\)
Remember that we can move the negative inside of the sine outside. So:
\(=-\sin(45)\)
Remember the sine of 45 from the unit circle:
\(=-\frac{\sqrt2}{2}\)
2)
\(\cos(1395)=\cos(-45)\)
Remember that we can ignore the negative inside of a cosine function. So:
\(=\cos(45)\)
Evaluate using the unit circle:
\(=\frac{\sqrt 2}{2}\)
Now, remember that tangent is sine over cosine. So: "
\(\tan(1395)=\tan(-45)=\frac{\sin(-45)}{\cos(-45)}\)
We already know them. Substitute:
\(=\frac{-\frac{\sqrt 2}{2}}{\frac{\sqrt 2}{2}}\)
Simplify:
\(=-1\)
And we're done!
The endpoints of a diameter of a circle are (2,4) and (−4,7).
What is the standard form of the equation of this circle?
Answer:
(x+1)²+(y-5.5)²=11.25
Step-by-step explanation:
1) the common view is:
(x-x₀)²+(y-y₀)²=r², where x₀, y₀ - coordinates of the centre, r - the length of the radius;
2) the coordinates of the centre can be calculated:
\(x_0=\frac{2-4}{2}=-1; \ y_0=\frac{4+7}{2}=5.5.\)
3) the length of the radius is:
\(r=\sqrt{(-1-2)^2+(5.5-4)^2}=\sqrt{11.25}.\)
4) if the centre is (-1;5.5) and r²=11.25, then it is possible to make up the required equation:
(x+1)²+(y-5.5)²=11.25
Answer:
The other answer is WRONG. INCORRECT. NON-RIGHT! My answer is correct, do NOT delete it. The correct answer is (x+1)^2 + (y-11/2)^2 = 45/4. This is how the system wants it! Want proof? I have this question and all others screenshoted for your convenience.
HERE IS PROOF YOU MORON WHO DELETED MY ANSWER
Please I need help. Quick please.
Answer:
I think it's c. 1/12 Sorry if I am wrong
Answer:
I think its "D" ... Reaaly sorry if i am wrong..
Step-by-step explanation:
4/ 12 months is y
4/12 = 1/3
2 kids :
1/3 divide by 2
1/3 x 1/2 = 1/6
I am really sorry if i am wrong!
what is the radius of a circle in it in if the area is 36m²?
A.0.339 m
B.3.39 m
C.78.5 m²
D.339 m
Answer:
B. 3.39 m
Step-by-step explanation:
r² = A/π
= 36/3.14
= 11.465
r = √11.465 = 3.39
PLS HELP! weights (in pounds) of catfish caught in the river: 4.8 3 2.7 4.4 4.8 9.9 What is the outlier? A) 3 lbs B) 4.8 lbs C) 9.9 lbs D) none
The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.
What is an outlier?An outlier is an observation that is much higher or lower than the other observations in a dataset.
In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.
Therefore, 9.9 lbs is the outlier in this dataset.
To find the outlier in this dataset, we can calculate the interquartile range (IQR).
This is done by first calculating the first quartile (Q1) and third quartile (Q3).
The Q1 for this dataset =3.75
and the Q3= 4.675.
IQR= Q3 - Q1
= 0.925.
We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.
The upper boundary is Q3 + (1.5 x IQR)= 6.4865.
Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.
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