Answer: Radius (r) 5.99848 in
Diameter 11.99696 in
Circumference (c) 37.68955 in
Area 113.04in²
Radius (r) 5.99848 in
Diameter 11.99696 in
Circumference (c) 37.68955 in
Area 113.04 in²
Radius (r) 0.999493 in
Diameter 1.998986 in
Circumference (c) 6.28 in
Area 3.13841 in²
Radius (r) 8.49569 in
Diameter 16.99138 in
Circumference (c) 53.38 in
Area 226.75 in²
Radius (r) 2.5 cm
Diameter 5 cm
Circumference (c) 15.70796 cm
Area 19.63495 cm²
Radius (r) 1.1 yd
Diameter 2.2 yd
Circumference (c) 6.9115 yd
Area 3.80133 yd²
Radius (r) 2 in
Diameter 4 in
Circumference (c) 12.56637 in
Area 12.56637 in²
Step-by-step explanation: I hope this helps.
Xavier has a bag of 20 marbles. 8 are blue, 7 are red, and 5 are green. Xavier pulls out a marble, records what color it is, and puts it back. He then selects another marble and records its color What is the probability of pulling out a blue marble and then a green marble?
Answer:
0.1
Step-by-step explanation:
chance of pulling out a blue marble can be described as 8 equally probable outcomes (blue marbles) out of 20 equally probable outcomes (all marbles).
Similarly, the chance of pulling out a green marble is 5 out of 20.
In total, we have 8*5 (combinations of blue then green) outcomes out of 20*20 (any two marbles):
8*5 / (20*20) = 40 / 400 = 1/10 = 0.1
A garden store sells two types of potted palm trees. The Mediterranean palms sell for $150 each, and the palmetto palms sell for $125 each, including tax. The store wants to sell a total of at least 15 of the plants each day and have total sales of at least $2,000. Which of these systems of inequalities can be used to determine x, the number of Mediterranean palms, and y, the number of palmetto palms, that must be sold?
The system of inequalities that can be used to determine the number of each type of plant to be sold are :
x + y ≥ 15
$150x + $125y ≥ $2000
What are the system of inequalities?The first step is to determine the inequality signs that would be used in the system of inequalities:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The inequality sign that would be used is the greater than or equal to sign, ≥.
Two system of inequalities would be formed using the information provided in the question. The form of the system of inequalities would be:
number of Mediterranean palms sold + number of palmetto sold ≥ least number of plants
(number of Mediterranean palms sold x cost of Mediterranean palms) + (number of palmetto sold x cost of palmetto sold ≥ least number of sales
x + y ≥ 15
$150x + $125y ≥ $2000
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ben is walking with three dogs that weigh an average of 75 pounds each. ben begins to walk with a fourth dog, and the average weight of the dogs decreases to 70 pounds. what is the weight in pounds of the fourth dog?
The weight in pounds of the fourth dog, is 55 lbs.
What is weight?
The force exerted on an object by gravity is known as its weight. The gravitational force acting on the item is referred to as weight in several common textbooks. Some people refer to weight as a scalar quantity that measures the gravitational force's strength.
As given, Ben is walking with three dogs that weigh an average of 75 pounds each. Ben begins to walk with a fourth dog, and the average weight of the dogs decreases to 70 pounds.
The total weight of the first three dogs is 225 pounds.
This amount, plus the weight of the fourth dog, divided by total number of dogs, is the new average weight:
[tex]\frac{d+225}{4} = 70\\d + 225 = 280\\d = 280 - 225\\d = 55 lbs[/tex]
Therefore, the weight of the fourth dog is 55 lbs.
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Each gallon of paint covers 200 square feet. I have to paint one side of a wall that is 12 meters tall and 80 meters long. If a foot is approximately 0.3084 meters, then what is the smallest whole number of gallons I can buy and have enough paint to cover the whole wall
Answer:
1 ft ≈ 0.3048 m
1 ft2 ≈ 0.09290304 m2
200 ft2 ≈ 18.580608 m2
Step-by-step explanation:
The total surface area to paint = 12 m * 80 m = 960 square meters
1 ft ≈ 0.3048 m
1 ft2 ≈ 0.09290304 m2
200 ft2 ≈ 18.580608 m2
And so one gallon of paint covers about 18.581 square meters.
960 m2 / ( 18.581 m2 per gallon) ≈ 51.67 gallons
So 51 gallons would not be enough... it would take 52 gallons of paint to cover the wall.
A graph of a linear function has a slope of -1/3 and contains the point (0, 2). Which of these represents the equation of this function?
slope intercept equation is represented below
[tex]\begin{gathered} y=mx+b \\ \text{where} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} 2=-\frac{1}{3}(0)+b \\ b=2 \\ y=-\frac{1}{3}x+2 \end{gathered}[/tex]a gas grill originally priced at 399 is on sale for 30% off
what is the sales price of the grill?
sales tax is 8.375% find the price you will pay (including tax)
Answer:
$302.69
Step-by-step explanation:
399 x 30% = 119.7 # finding how much you save
399 - 119.7 = 279.3 # how much the item costs with the sale
279.3 x 8.375 = 23.39 # the sales tax for the discounted item
297.3 + 23.39 = 302.69 # adding sales tax to the discounted item
I think this is right. I was never that great at sales tax and discount.
Jungkook has 84 coins. Of the coins, 7/12 are nickels, 3/12 are dimes, and the rest are quarters. What is the raito of Jungkook's nickels to dimes to quarters?
If 7 out of every 12 coins are nickles (7/12) and 3 out of every 12 coins are dimes (3/12), there has to be 2 quarters out of every 12 coins (2/12)
Now, the ratio would be:
[tex]7\colon3\colon2[/tex]Find (3.0x10^15) over (5.0x10^6)(2.4x10^3), expressed in scientific notation.
The result of 3.0×[tex]10^{15}[/tex] over 5.0×[tex]10^6[/tex] in scientific notation is 6×[tex]10^8[/tex]
The first number = 3.0×[tex]10^{15}[/tex]
The second number = 5.0×[tex]10^6[/tex]
3.0×[tex]10^{15}[/tex] over 5.0×[tex]10^6[/tex] means we have to divide the first number by the second number
The scientific notation is the a method of representing the a very large number or a very small number in a simple way. The general from of the scientific notation is when a number from 1 to 10 is multiplied by the power of 10.
Here we have to divide 3.0×[tex]10^{15}[/tex] by 5.0×[tex]10^6[/tex]
3.0×[tex]10^{15}[/tex] ÷ 5.0×[tex]10^6[/tex] = (3/5) × [tex]10^{15-6}[/tex]
= 0.6×[tex]10^9[/tex]
= 6×[tex]10^8[/tex]
Hence, the result of 3.0×[tex]10^{15}[/tex] over 5.0×[tex]10^6[/tex] in scientific notation is 6×[tex]10^8[/tex]
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A membership at Gym A costs $50 for 5 months. A membership at Gym B down the street costs $40 for 3 months. You write two equations in the form of y=kx to try and figure out which membership would be cheaper for a year. What is the value of k for the cheaper membership?
HELP PLS I NEED A ANSWER QUICKLY
The cost for a year is cheaper in Gym A.
The value of k for the cheaper membership is $10.
Which gym membership is cheaper?An equation in the form y = kx is known as a linear equation. A linear equation is an equation that increases at a constant rate.
In the equation : y = kx
y = dependent variable = total cost x = number of months k = constant of proportion / cost per monthk = y/x
Cost per month at Gym A = $50 / 5 = $10
Cost per month at Gym B = $40 / 3 = $13.33
Membership cost at Gym A for a year = $10 x 12 = $120
Membership cost at Gym B for a year = $13.33 x 12 = $160
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in linear regression, the fitted value is the: a. predicted value of the dependent variable b. predicted value of the independent value c. predicted value of the slope d. predicted value of the intercept e. none of these options
predicted value of the slope , A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable.
What is linear regression?
When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables.
A regression model called simple linear regression uses a straight line to calculate the association between one independent variable and one dependent variable. Both variables ought to have numerical values.
When the parameters are linear, a regression equation (or function) is said to be linear in statistics. Although the predictor variables can be transformed in ways that result in curvature, the equation must be linear in the parameters.
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in linear regression, the fitted value is the: predicted value of the dependent variable
When you enter the values of the predictors, factor levels, and other inputs into a statistical model, the predicted mean response value is known as the fitted value.
What is the predicted variable called?The independent variable, commonly referred to as the predictor variable, is used to forecast dependent variables. In data science and the scientific method, predictor variables are used rather frequently.Regression models that fit data well produce predicted values that closely match the values of the actual data. If there were no useful predictor variables, the mean model, which utilizes the mean for every predicted value, would typically be employed.Researchers can anticipate or explain variation in one variable based on another variable using regression. Defined terms: The response variable is the one that scientists are attempting to predict or explain. Because it is reliant on another variable, it is also sometimes referred to as the dependent variable.To learn more about predicted variable refer to:
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15 points for thiz one.
Answer:
(I) y=10-6x. (ii) y=x/-2 - 3
what are the appropriate measures of central location for interval data? mean and median median and mode mean, median, and mode what are the appropriate measures of variability for interval data? range, interquartile range, variance, standard deviation, and coefficient of variation variance coefficient of variation what are the appropriate measures of relative standing for interval data? interquartile range percentiles and quartiles none
The appropriate measures of central location for interval data are Mode, median, and average
The measure of a data set's most valuable position is its core location. Basically, they are mean, median, and mode.
Mean: The mean is the data set's average value. It is the total number of data divided by the sum of the data set.
The data point in the middle of the data collection is known as the median.
It can be obtained by halving the data set, which will show where the median is located.
Simply put, mode refers to the data that occurs most frequently.
Each of these provides positional information on the data, as can be seen from the definition.
The one value that other values in the data center around is given by the mean.
Therefore, the correct options are Mode, median, and average
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Use the following stem and leaf plot to write out the individual numbers and calculate the mean, median and range for the data
Stem and leaf plot
4 1
5 2 7 8
6 5 6
7 0 5 8
8 0 1
9 5
Use the stem and leaf plot to the right to answer the questions below.
A. How many data values are in the set?
B. What is the greatest and least value from the set?
C. What is the median and range?
D. Is the value 85 in the data set? Explain.
Part A
Answer: 12Explanation: Count the number of leaves.
======================================================
Part B
Answers: Greatest = 95 , least = 41Reason:
Look at the largest stem (9) and the largest leaf of this largest stem (5).
This forms the largest value of 95.
The smallest value is 41 since it corresponds to the smallest stem and smallest leaf.
The term "min" and "max" are often used here.
======================================================
Part C
Answers: Median = 68, range = 54Explanation:
The data set is
41, 52, 57, 58, 65, 66, 70, 75, 78, 80, 81, 95
There are n = 12 items in this set.
Splitting in half gets us n/2 = 12/2 = 6.
The item in slot 6 is 66, and the next item over is 70.
The midpoint of these values is the median. (66+70)/2 = 68.
This midpoint rule only applies if n is even.
To find the range, we subtract the largest and smallest items.
range = max - min = 95 - 41 = 54
======================================================
Part D
Answer: No, 85 is not in the data setReason:
The stem 8 doesn't have a leaf of 5 attached to it.
It only has the leaves 0 and 1 to form the numbers 80 and 81.
Solve for x. 23r + 2 = 156 + 481 + 6 A. x = 1/12 B. x = -2/5C. x = -1/10 D. x = -12/5
C) x= -1/10
1) Evaluating the following expression
23x+2= 15x + 48x + 6 Add the like terms
23x +2 = 63x +6 Subtract 63x and 2 from both sides
23x -63x = 6 -2
-40x =4 Divide both sides by -40
x = -4/40 Simplify it by 4
x= -1/10
2) Hence, the answer is x= -1/10
Janice is cutting ribbon to decorate a present. She has 7/8 foot of ribbon. She needs to make pieces that are 3/8 foot each. How many 3/8-foot pieces will she get from the 7/8-foot ribbon?
Enter the correct answer in the box.
Based on the length of the ribbon, and the length of the pieces Janice needs to make, the number of 3/8 foot pieces she can make would be
How to find the number of pieces?To find the number of pieces that Janice can get from the 7/8 foot ribbon, you need to divide this length by the length of each piece of ribbon.
The length of each of these pieces is 3/8 so the number of pieces of ribbon that Janice can get from the 7/8 foot ribbon is:
= 7 / 8 ÷ 3 / 8
= 7 / 8 x 8 / 3
= 56 / 24
= 2.33 ribbons
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Janice can make 2 pieces of ribbon from 7/8 feet of ribbon each measuring 3/8 feet.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Janice is cutting the ribbon to decorate a present. She has 7/8 feet of ribbon.
She needs to make pieces that are 3/8 feet each.
To obtain the no. of pieces we have to divide the total length of the ribbon by the length of each piece.
∴ (7/8)/(3/8).
= (7/8)×(8/3).
= 7/3 pieces.
But he can only make 2 pieces as pieces must be in integers.
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If y varies directly with x, write an equation for the direct variation. Then find each value.1. If x= -12 when y= -3 find x when y= -6
Since y varies directly with x then
[tex]\begin{gathered} \frac{y}{x}=k \\ \text{Where k }is\text{ the constant of proportionality} \end{gathered}[/tex]So,
[tex]\frac{y}{x}=\frac{-3}{-12}=\frac{3}{12}=\frac{1\cdot3}{4\cdot3}=\frac{1}{4}[/tex]Then, 1/4 is the constant of proportionality. So that,
[tex]\begin{gathered} \frac{y}{x}=\frac{1}{4} \\ \frac{-6}{x}=\frac{1}{4} \\ -\frac{6}{x}\cdot x=\frac{1}{4}\cdot x \\ -6=\frac{x}{4} \\ 4\cdot-6=\frac{x}{4}\cdot4 \\ -24=x \end{gathered}[/tex]A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet and the volume of each large box is 15 cubic feet. There were 2 more small boxes shipped than large boxes and the total volume of all boxes was 243 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.
The Number of small and large boxes shipped are 10 and 5 respectively.
Large boxes :
Volume = 18 cubic feets
Let number of large boxes = b
Small boxes :
Volume = 10 cubic feets
Number of small boxes = 2b
Total volume shipped = 190 cubic feet
To obtain total volume shipped :
(Number of small boxes × volume of small boxes) + (Number of large boxes × volume of large boxes
Writing as a system of equation :
(10 × 2b) + (18 × b)
20b + 18b = 190 cubic feets
38b = 190
b = 190 ÷ 38
b = 5
Hence,
Number of large boxes = 5
Number of small boxes = 2(5) = 10
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Please help with this problem g(0)=9, g(8)=7
The equation of the line is g(x) = -1/4x + 9.
Given,
g(0) = 9
g(8) = 7
Here,
We can consider this as points:
(x₁, y₁) = (0, 9)
(x₂, y₂) = (8, 7)
Now lets find the slope of the line.
Slope, m = (y₂ - y₁) / (x₂ - x₁)
Slope, m = (7 - 9) / (8 - 0)
Slope, m = -2/8
Slope, m = -1/4
Now, the slope-intercept form:
y = mx + b
here,
9 = -1/4 × 0 + b
9 = b
Now,
equation of line,
y = -1/4x + 9
That is,
g(x) = -1/4x + 9
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Which of the following represents the polar equation r = (tan 2θ)(csc θ) as a rectangular equation?
We will have the following:
[tex]r=\tan ^2(\theta)\csc (\theta)\Rightarrow r=(\frac{\sin(\theta)}{\cos(\theta)})^2(\frac{1}{\sin(\theta)})[/tex][tex]\Rightarrow r=\frac{\sin^2(\theta)}{\sin(\theta)\cos^2(\theta)}\Rightarrow r=\frac{\sin(\theta)}{\cos^2(\theta)}[/tex]Now, we corroborate with one of the expression, in our case we will analyze y = x^2:
[tex]r\sin (\theta)=(r\cos (\theta))^2\Rightarrow r\sin (\theta)=r^2\cos ^2(\theta)\Rightarrow r=\frac{\sin (\theta)}{\cos ^2(\theta)}[/tex]So, the expression taht represents the value given is:
[tex]y=x^2[/tex]If f(1)=4 f(2)=5 and f(n)=f(n-1) + f(n-2) then find the value of f(5)
Answer:
23
Step-by-step explanation:
f(3) = f(2) + f(1) = 5 + 4 = 9
f(4) = f(3) + f(2) = 9 + 5 = 14
f(5) = f(4) + f(3) = 14 + 9 = 23
Answer:
substituting n by 5 gives;
f(5)=(5-1)+(5-2)=7
Every computer that a business owner purchases will lose most of its value after 5 years of use. The owner plans to purchase a computer for $2,100 and replace it after 4 years.Part BMethod 2 of determining the computer's value is to reduce its value by 30% after each year of use.Which function, g(n), represents the value of the computer after years of use for Method 2?g(n) = 0.3n(2,100)g(n) = 0.7 (2.100)g(n) = 2.100(0.3)^ng(n) = 2.100(0.7)^n
Answer:
D. g(n)=2100(0.7)^nD. g(n)=2100(0.7)^
Explanation:
• The purchase price, i.e. the initial value of the computer = $2100.
,• The rate at which its value reduces = 30%.
To determine the computer's value after n years of use, we use the depreciation formula below:
[tex]A(n)=P(1-r)^n[/tex]In this case:
• The Principal, P = $2100
,• The rate, r = 30%
Substitute these values into the formula.
[tex]\begin{gathered} g(n)=2100(1-30\%)^n \\ =2100(1-\frac{30}{100})^n \\ =2100(1-0.3)^n \\ \implies g(n)=2100(0.7)^n_{} \end{gathered}[/tex]The function g(n) that represents the value of the computer after n years of use is Option D.
HURRY WILL MARK BRIANLIEST Evaluate.
0.33÷0.9⋅20+6.4÷0.2
Enter your answer as a decimal in the box.
Answer:
39.3
but the 3 in the the tenths place is repeating
Step-by-step explanation:
Answer:
39.33...
Step-by-step explanation:
Using PEMDAS,
First, 0.33 / 0.9 = 0.366...
Second, 0.366... * 20 = 7.33...
Then, 6.4 / 0.2 = 32
Lastly, 7.33... + 32 = 39.33...
Please help me will give brainly Thanks
The required equation of line would be 2y = 5x - 8 which is shown in the given graph.
What is the slope of the line?The slope of a line is defined as the angle of the line.
According to the given figure,
We clearly see that the coordinates of the y-intercept would be (0, -4).
The value of the x-coordinate is 2 when y-coordinate is 1.
Here the line passes through the points (0, -4) and (2, 1).
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x₂ -x]
x₁ = 0, y₁ = -4
x₂ = 2, y₂ = 1
⇒ y - y₂ = (y₂ - y₁)/(x₂ -x₁ )[x -x₂]
⇒ y - 1 = (1 - (-4))/(2 - 0 )[x -2]
⇒ y - 1 = 5/2[x -2]
⇒ 2y - 2 = 5[x -2]
⇒ 2y = 5x - 10 + 2
⇒ 2y = 5x - 8
Therefore, the required equation of line would be 2y = 5x - 8 which is shown in the given graph.
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If the first term of gp is 1 and 4th is 27 find the ratio term and the 9th term
The ratio term of given geometric progression is 3 and the 9th term of the GP is 6561.
What is Geometric Progression?
A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio. For instance, the geometric progression 2, 6, 18, 54,_ _ _ _ has a common ratio of 3.
Given in question,
first term of the GP is 1,
4th term of the GP is 27,
[tex]4^{th} term = ar^3[/tex]
[tex]ar^3 = 27[/tex]
Therefore, the ratio term of geometric progression, r = 3
We know that, [tex]a_n = ar^{n-1}[/tex]
[tex]a_9 = ar^8[/tex]
[tex]a_9 = 3^8[/tex]
a9 = 6561
Therefore, the 9th term of given geometric progression is 6561.
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HELPPppppp PLS AOUHF
As per the given three coordinate of the triangle, the area of the triangle is 9.5 square units.
Area of triangle:
In the triangle ABC as with vertices or coordinates are A(x1, y1), B(x2, y2), and C(x3, y3), has the area,
Area(ΔABC) = (1/2){x1(y2 − y3) + x2(y3 − y1) + x3(y1 − y2)}
As the area is always positive.
Given,
Here we have the triangle VWX,
And their coordinates are V (-9,-7), W(-4,-5), and X(-6,-2).
Now we have to find the area of the triangle.
To find the area of the triangle, let us consider the coordinates (x1,y1) as v(-9,-7), (x2,y2) as W(-4,-5) and (x3,y3) as X(-6,-2).
Now, we have to apply the values on the formula, in order to get the area of the triangle,
=> A = 1/2 |(-9 [-5-(-2)] + (-4)[-2 - (-7)] + (-6)[-7 - (-5)]|
When we expand the terms, then we get,
=> A = 1/2 |(-9)[-3] + (-4)[5] + (-6)[-2]|
Further simplify the expression will gives you the following,
=> A = 1/2 |27 - 20 + 12|
=> A = 1/2 |19|
Therefore, the area of the triangle is 9.5 square units.
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Find the slope between these two points:
(3, 0), (-11, -15)
Answer:
3/4 or 0.75
Step-by-step explanation:
Find A (please help)
Answer: Solve 5x=(2x+3)
Step-by-step explanation:
PLEASE HURRY
Which table represents a linear function?
The table that represents a linear function is Table 1. Thus, the correct option is A.
What is a linear equation?A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c.
Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, give a straight line.
We know that, slope m= (y2-y1)/(x2-x1)
Table 1:
Put (x1, y1)=(1, 5) and (x2, y2)=(2, 9) in slope formula
That is, (9-5)/(2-1)
= 4
Similarly, the slope between last two points is (9-5)/(4-1)
=4
Table 2:
Put (x1, y1)=(1, -5) and (x2, y2)=(2, 10) in slope formula
That is, (10+5)/(2-1)
= 15
Similarly, slope between last two points (20+15)/(4-3)
=35
Hence, the table that represents a linear function is Table 1. Thus, the correct option is A.
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HELPPPP
Which of the following formulas can be used to determine the measure of the angle of rotation for a regular polygon with n sides?
Answer: [tex]m=\frac{360^{\circ}}{n}[/tex]
Step-by-step explanation:
This is a standard result.
The second option is the segment addition postulate.
The third option is the sum of the angles of a polygon with n sides.
The fourth option is the measure of each interior angle of a regular polygon with n sides.
The fifth option is the angle addition postulate.
Ellen renovates the foyer of an old farmhouse. The foyer is 15 feet long and 8 feetwide. Calculate the area of the foyer.foyer60 square feet46 square feet120 square feet23 square feet240 square feet
Data
Length = 15 ft
Width = 8 ft
Area