A circle has a diameter of 12mm . what is its circumference? use 3.14 for π , and do not round your answer. be sure to include the correct unit in your answer.
With a diameter of 12mm and using π as 3.14, the circumference is calculated as 37.68mm.
The circumference of a circle can be calculated using the formula:
Circumference = π x diameter
Given: Diameter = 12mm
Using π = 3.14:
Circumference = 3.14 x 12mm = 37.68mm
Therefore, the circumference of the circle is 37.68mm.
Jason draws a line in the sand at the beach. The line is 78 ft long. He wants to divide the line into sections that are each 1/8 ft long.
How many sections will the line be divided into?
Enter your answer in the box.
How many different sums of money can be formed from penny and half a dollar?
What is the value of the function at x=−2?
y=−2
y = 0
y = 2
y = 3
Answer:
y = 2
Step-by-step explanation:
When we have graph is given also one value from x and y is given then for finding the other value, We simply see the line where x = -2 is graphed and then we will see what is the value of y there.
Here at x = -2, y = 2 this is clearly apparent from the graph.
A cab ride from the airport to your home costs $19.50. If you want to tip the cab driver close to 10 percent of the fare, how much should you tip?
$1
$2
$3
The tip for the cab is close to 10 percent is around $2.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A cab ride from the airport to your home costs $19.50.
Now, The tip given is 10% of the fare so,
= (10/100)×19.50.
= 0.1×19.50.
= 1.95.
So, The exact tip would be $1.95 which is approximately $2.
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The Tigers lost 15% of the 60 games that they played this season. How many games did they win?
Consider the statement 4-3+5=-6+8+4 this mathematically correct sentence is the sentence true or false? Explain how you know
A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations. One flower is chosen at random and given to a woman for her to keep. Another flower is then chosen at random and given to a different woman for her to keep. Both women received a pink rose. Are these events independent or dependent?
A) Dependent because the women both received a pink rose.
B) Independent because the women both received a pink rose.
C) Dependent because when the first flower is taken, it affects the ratio of the types of flowers in the vase.
D) Independent because when the first flower is taken, it does not change the ratio of the types of flowers in the vase.
Answer:
Option C - Dependent because when the first flower is taken, it affects the ratio of the types of flowers in the vase.
Step-by-step explanation:
Given : A flower vase has 5 white lilies, 4 pink roses, and 6 yellow carnations.
One flower is chosen at random and given to a woman for her to keep.
Another flower is then chosen at random and given to a different woman for her to keep. Both women received a pink rose.
To find : Are these events independent or dependent?
Solution :
According to the statements,
The probability that the second woman receives a pink rose is dependent upon what the first woman receives.
Total flowers = 5+4+6=15
If the first woman does not receive a pink rose,
Then, the probability of the second woman receiving one is [tex]\frac{4}{15}[/tex]
If the first woman does receive a pink rose
Then, the probability of the second woman receiving one is [tex]\frac{3}{15}=\frac{1}{5}[/tex]
Therefore, Option C is correct.
Dependent because when the first flower is taken, it affects the ratio of the types of flowers in the vase.
write the equation 10x+5y=5 in the slope intercept form. Then graph the line
The equation 10x+5y=5 can be rewritten in slope-intercept form as y = -2x + 1. This equation's slope is -2 and the y-intercept is 1. The line intercepts the y-axis at (0,1) and for every 1 unit increase in x, y decreases by 2 units.
Explanation:To write the equation 10x+5y=5 in slope-intercept form, you need to solve for y. The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.
First, divide the entire equation by 5 to simplify it:
(10x+5y)/5 = 5/5 becomes 2x + y = 1.
Then, solve the equation for y:
y = -2x + 1
The slope (m) of the equation is -2 and the y-intercept (b) is 1. Therefore, the line intercepts the y-axis at the point (0,1) and for every 1 unit increase in x, y decreases by 2 units due to the negative slope.
To graph this line, first plot the y-intercept at the point (0,1). Next, from this point, move right 1 unit (increase in x) and down 2 units (decrease in y) to get the point (1,-1). Draw a straight line through these points to represent the equation y = -2x + 1.
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If events X and Y are independent, what must be true? Check all that apply.
3. P(Y | X) = P(Y) and 6. P(X | Y) = P(X)
An experienced bricklayer can construct a small wall in 4 hours. an apprentice can complete the job in 12 hours. find how long it takes if they work together.
They take 3 hours to complete the work together.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
An experienced bricklayer can construct a small wall in 4 hours.
And, An apprentice can complete the job in 12 hours.
Now,
Since, An experienced bricklayer can construct a small wall in 4 hours.
Hence, In 1 hour it will be completed 1/4 work.
And, An apprentice can complete the job in 12 hours.
So, In 1 hour it will be completed 1/12 work.
Let number of hour to complete the work together = x
in 1 hour both together completed 1/x work.
So, we can formulate;
1/4 + 1/12 = 1/x
Solve for x;
3/12 + 1/12 = 1/x
4/12 = 1/x
1/3 = 1/x
x = 3 hours.
Thus, They take 3 hours to complete the work together.
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Determine the x- and y-intercepts of the graph of y = 1/4x - 2
Then plot the intercepts to the graph the equation
Answer:
The y-intecept is [tex](0,-2)[/tex], and the x-intercept is [tex](8,0)[/tex].
Step-by-step explanation:
The interception points with the axes can be foun by making zero one variable.
If you wanna find y-interception, we must make x = 0.
If you wann find x-interception, we must make y = 0.
The given function is
[tex]y=\frac{1}{4}x-2[/tex]
For [tex]x=0[/tex], we have
[tex]y=\frac{1}{4}(0)-2\\y=-2[/tex]
For [tex]y=0[/tex], we have
[tex]y=\frac{1}{4}x-2\\0=\frac{1}{4}x-2\\2=\frac{1}{4}x\\x=8[/tex]
Therefore, the y-intecept is [tex](0,-2)[/tex], and the x-intercept is [tex](8,0)[/tex].
The image attached show this.
Calculate the theoretical probability that sum of 2 rolls equals 7
Find the value of x so the rectangles have the same area
Using formula:
Area of rectangles = width [tex]\bold{\times}[/tex] length.Using the first image to calculate the area:
[tex]\to \bold{ x\times 12 = 12x }[/tex]
Using the second image to calculate the area:
[tex]\to \bold{16\times (x-2) = 16x -32 }[/tex]
equalling both the area:
[tex]\to \bold{12x = 16x -32}\\\\\to \bold{32 = 16x -12x}\\\\\to \bold{32 = 4x }\\\\\to \bold{4x=32 }\\\\\to \bold{x=\frac{32}{4}}\\\\\to \bold{x=8}\\\\[/tex]
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use multiples to write two fractions equivalent to 7/9
Answer:
[tex]\displaystyle\frac{35}{45}, \frac{49}{63}[/tex] are two equivalent fractions of the given fraction.
Step-by-step explanation:
We are given the following information in the question:
We are given the fraction:
[tex]\displaystyle\frac{7}{9}[/tex]
We have to find an equivalent fraction. This could be done by multiplying both the numerator and the denominator by the same number.
Equivalent fraction:
Multiplying both numerator and denominator by 5
[tex]\displaystyle\frac{7\times 5}{9\times 5} = \frac{35}{45}[/tex]
Multiplying both numerator and denominator by 7
[tex]\displaystyle\frac{7\times 7}{9\times 7} = \frac{49}{63}[/tex]
Hence, [tex]\displaystyle\frac{35}{45}, \frac{49}{63}[/tex] are two equivalent fractions of the given fraction.
What is the minimum value for p=x-2y over the feasibility region defined by the constraints shown above?
x <= 8
y>= 0
y<= 3x+2
y<= -x+10
a. 8
b. -2
c. -16
d. -14
MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!1
4(50) +3r = 365
200+3r = 365
3r =165
r = 165/3
r = 55
Bethany's family can eat (13h + 6) hotdogs. Clark's family can eat (10h + 3) hotdogs. Which expression shows the difference between the number of hotdogs Bethany's family can eat and the number of hot dogs Clark's family can eat?
A.3h - 9
B.3h + 3
C.-3h + 9
D.-3h + 3
what are two decimals that have square root between 3 and 4
A 2.2 GB game is being downloaded on your laptop. When you have downloaded half a gigabyte, you notice that your computer has been downloading at the rate of .01GB per minute. (A) Write an inequality that represents at least how many minutes it will take to download the game (b) Your computed only has two hours of battery life, will it be enough to download the game?
The game which is 2.2 GB will need 170 minutes to download at a rate of 0.01 GB per minute. But the computer has only 120 minutes of battery life which is insufficient.
Explanation:The total size of the game is 2.2 GB. The part that is already downloaded is 0.5 GB, so the remaining size of the game to be downloaded is 2.2 GB - 0.5 GB = 1.7 GB. Now, since the downloading speed is 0.01 GB/minute, we extrapolate the remaining time as (1.7 GB) / (0.01 GB/min) which equals 170 minutes.
(a) So, the inequality representing at least how many minutes it will take to download the rest of the game is x ≥ 170, where x is the required time in minutes.
(b) Two hours of battery life is equivalent to 2*60 = 120 minutes. Since 170 minutes is required to download the game and the available battery life is only 120 minutes, the battery will not be enough to download the game.
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What is the perimeter of a polygon with vertices at (−1, 3) , (−1, 6) , (2, 10) , (5, 6) , and (5, 3) ?
Enter your answer in the box. Do not round any side lengths.
Answer:
FOR ALL THOSE LAZY PPL, HERE'S THE ANSWER....
22 units.
Have a nice day mates.
You plan to take $450 u.s. on a trip to south africa. how many rands is this if one u.s. dollar equals 3.70 rands?
Suppose you traveled 84 in 1.5h moving at the same speed, how many mi would you cover in 3 1/4? & can someone answer number 45 also?
Can someone please help me
Factor completely
9-6a-24a^2
Answer:
3(3+4a)(1-2a)
Step-by-step explanation:
lisa wants to make at least $300.00 selling candy. Hard candy cost $3.00 per piece and chocolates cost cost $6.00 per piece. How many pieces of each type of candy could Lisa sell in order to make at least $300.00
Lisa can either sell 100 hard candies or 50 chocolate to make $300.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Lisa wants to make at least $300.00 selling candy. Hard candy cost $3.00 per piece and chocolates cost $6.00 per piece.
Establishing the equation for this problem.
Let,
Hard candy = x
Chocolate = y
Therefore,
3x+6y=300
To find y, let x=0
3(0)+6y =300
6y = 300
y = 50
Similarly,
To find x, put y=0
3x+6(0)=300
3x=300
x=100
Hence, Lisa can sell 100 hard candies or 50 chocolate to make $300.
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A sculpture is shaped like a sphere with 4 cones attached to it. Several dimensions of the sculpture, in feet, are shown in the diagram below. The total height of the sculpture from top to bottom is 12 feet. What is the volume of the sculpture, to the nearest cubic foot?
volume of the center sphere = 4/3*PI*r^3
r = 3 ( given in the picture)
so 4/3 * 3.14 *3^3 = 113.04 cubic feet
volume of 1 cone: pi *r^2 *h/3
r = 3 and h=3 ( given in the picture)
so 3.14 * 3^2 * 3/3 = 28.26 cubic feet
there are 4 cones so 28.26* 4 = 113.04 cubic feet
113.04 + 113.04 = 226.08 cubic feet
rounded to nearest cubic foot = 226 cubic feet
What is the probability that it lands on heads at least 5 times?
Write the number 7362 to the nearest thousand
4nm - 4m = 8. Solve for m
What is (are) the x-intercepts of the function graphed above?
Answer:
The x intercepts are -4, -1 and 5 or (-4,0), (-1,0) and (5,0).
Step-by-step explanation:
Consider the provided graph.
Here we need to find the x intercepts of the function.
The x-intercepts are where the graph crosses the x-axis.
Here, the provided graph crosses the x axis 3 times.
Thus there must be 3 x intercepts of the function.
Now label the points on which graph intersect the x axis as shown in figure 1.
Thus the labeled points are (-4,0), (-1,0) and (5,0)
Hence, the x intercepts are (-4,0), (-1,0) and (5,0) or -4, -1 and 5.