A manufacturer is designing a two-wheeled cart that can maneuver through tight spaces. On one test model, the wheel placement (center) and radius are modeled by the equation (x+3)^2 + (y-1)^2 = 25. Which graph shows the position and radius of the wheels? * 1 point
Marbles, and 4 green marbles. The second bag contains 3 red marbles,2 blue marbles, and 4 green marbles. Aakesh will randomly select one marble from each bag. What is the probability that Aakesh will select a blue marble from each bag ?
The probability that Aakesh will select a blue marble from each bag is 4/45.
To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.
Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:
P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag
P(Blue from first bag) = 2 / 5
Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:
P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag
P(Blue from second bag) = 2 / 9
To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:
P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)
P(Blue from both bags) = (2 / 5) * (2 / 9)
P(Blue from both bags) = 4 / 45.
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A line passes through the points (2, -2) and (-6.2), The point (a, -4) is also on the line. What is the value of a?
-6
-1
1
6
Answer:
It's is a negative one ( -1 )
Step-by-step explanation:
The explanation is in the question, if you draw the line you will see it.
Find the surface area and volume of the prism.
Answer:
840 square cm
Step-by-step explanation:
28 * (5+12+13)
28 * 30
840 square cm
Matts seat is located at (-2,5) and Beths seat is loacted at (-4,7). How far apart are Matt and Beths seats?
Answer: (-2,2)
Step-by-step explanation: -2 - -4 = -2 and 5 - 7 = 2 so I think (-2,2)
Answer: The answer would be 2,2. ummm
Step-by-step explanation:
The stem and leaf plot shows the number of laps around a track
that several teams walked as part of a fund-raiser for the library.
The teams that walked more than 50 laps raised an extra $100 for
the library.
What fraction of the teams raised this extra money?
The fraction of the teams which walked as part of the fundraiser for the library, that raised extra money, is D. 1 / 3.
What fraction of the teams raised extra funds ?You must count the number of teams that were able to walk more than 50 laps in order to determine the percentage of teams that raised the additional funds. The distance walked by teams more than 50 laps were :
5363 6365 miles.There are 12 teams overall, which is equal to the number of leaves.
The fraction of teams that raised additional funds is:
= 4 teams / 12 total teams
= ( 4 ÷ 4 ) / ( 12 ÷ 4 )
= 1 / 3
In conclusion, the fraction of teams which raised extra money was 1 / 3.
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please help me with trigonometry
The length of the guy wire to the nearest foot would be = 10 ft.
How to calculate the length of the guy wire?The relationship between the tower, guy wire and pole forms the shape of a right angle triangle.
The distance from the stake to the pole (opposite) =a = 5 ft
The distance from the pole to the tower (adjacent) =b= 9ft
The length of the guy wire= c = X
Using the Pythagorean formula:
c² = a² + b²
c² = 5² + 9²
c² = 25+81
c² = 106
C = √106
C= 10 ft ( to the nearest foot)
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Complete question:
A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophie places a 7 ft tall pole to support the guy wire. After placing the pole, Sophie measures the distance from the stake to the pole to be 5 ft. She then measures the distance from the pole to the tower to be 9 ft. Find the length of the guy wire, to the nearest foot.
Student representatives surveyed their classmates on their preference of a school mascot for a new school. The results are shown in the table below. Which pair of samples seems most representative of student preference?
Mascot Survey
Sample 1
Sample 2
Sample 3
Artichokes 15 Artichokes 0 Artichokes 3
Bears 28 Bears 53 Bears 48
Citizens 17 Citizens 7 Citizens 9
Sample 1 and sample 2 are most representative because there is less difference between the numbers of students that chose each mascot.
Sample 2 and sample 3 are most representative because the relationship between preferences is consistent.
Sample 1 and sample 3 are most representative because 0 should not appear in a sample.
None of the samples are representative because none of the values remained constant.
The pair of samples that seems most representative of student preference is Sample 2 and sample 3 are most representative because the relationship between preferences is consistent. Option 2
How to get the most representative preferenceIn order to get the most representative preference, we would have to get the value by subtracting the data in s2 and s3
Such that for antichokes we have 3 - 0 = 3
for bears 53 - 48 = 5
For citizens 9 -7 = 2
Hence the second option is the best solution here. This is as the in choosing the mascot is less here.
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Answer: BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
HAVE A NICE DAY EVERYBODY LEAVE SOME THANKS AND ADD ME AS A FRIEND AND TEXT ME
Step-by-step explanation:
What is F(-x)?
F(x)=x^3+1
Answer:
F(-x) = 0
Step-by-step explanation:
What is F(-x)?
F(-x) = F(-1)
F(x) = x³ + 1 F(-1)
F(-1) = -1³ + 1
F(-1) = -1 + 1
F(-1) = 0
So, F(-x) = 0
Answer:
f(-1) = 0
Step-by-step explanation:
Evaluating a function for f(-x) is the same as evaluating it for f(-1).
So we plug in -1 instead.
f(-1) = x³ + 1
= (-1)³ + 1 (here we cube -1)
= -1 + 1 (here we subtract)
= 0 (and, this is the answer)
\(\therefore\) The answer is f(-1) = 0
Recall that the area of a rectangle is A=L⋅W, where W is the width and L is the length. The length of a rectangle is 2 times the width. If the area is 392 square feet, then what is the length of the rectangle, in feet?
Answer:
7.7
Step-by-step explanation:
I did it on edu!
You can use the fact that area of a rectangle is its length times its width.
The length of the given rectangle is 28 feet.
What is the area of a rectangle?Area of a rectangle is its length times its width.
If a rectangle has length x units and width y units, then we have:
\(Area = x \times y \: \rm unit^2\)
How to calculate the values of items which are not known?Most of the times, you will get some other facts or information by which the unknown values of those items can be known. For simple daily life cases, we can use variables, which are nothing but just placeholders for those unknown values. We can then operate on those variables assuming them to be actual values, thus, getting near to their original values.
Using above method for getting the length of the rectangleLet the length of the given rectangle be x units, and let its width be y
Then as it is given that
Length of the rectangle = 2 times width of the rectangle
or
\(x = 2 \times y\)
We have area= 392 square feet
Since area = length times width, thus, we have
\(Area = x \times y\\392 = 2 \times y \times y\\\\\dfrac{392}{2} = y^2\\\\y^2 = 186\\\\\text{\:(Taking positive root on both the sides since y is width, a non negative quantity)}\\\\y = \sqrt{196} = 14\)
Thus, the width of the rectangle is 14 feet
And thus, the length of the rectangle = double of width = 28 feet.
Thus,
The length of the given rectangle is 28 feet.
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Form a polynomial whose zeros and degree are given.
Zeros: - 2, 2, 6; degree: 3
Type a polynomial with intéger coefficients and a leading coefficient of 1 in the box below.
f(x)=(Simplify your answer.)
Answer:
\(f(x) = (x + 2)(x - 2)(x - 6)\)
\(f(x) = ({x}^{2} + 4)(x - 6)\)
\(f(x) = {x}^{3} - 6 {x}^{2} + 4x - 24\)
Step-by-step explanation:
Multiply factors.
Solve the following system of equations graphically and check
3x - y = 3
Y=2x-7
Answer:
x = -4 and y = -15
Hope This Helps!!!
can you please solve?
Answer:
Equation: \(S = 40w + 550\)
Amount of money by the end of week 12: $1030
Step-by-step explanation:
Equation:
Total amount = (Amount of money per week) x ( Amount of weeks) + Starting amount
or
\(S = 40w + 550\)
-
You are solving for the total amount of money Heather will have in 12 weeks. Plug in 12 for w in the given equation, and solve for S with PEMDAS.
PEMDAS is the order of operations and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
\(s = 40w + 550\\w = 12\\\\s = 40(12) + 550\)
First, multiply 40 with 12:
\(s = (40 * 12) + 550\\s = (480) + 550\\s = 1030\)
$1030 will be the amount of money Heather will have in 12 weeks.
~
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Graph the piecewise function. You must graph on your own and not use a web-based program to graph. f(x)={(1/3 x-1 if " x≤0 -1/2 x+6 if 0
The graph for the piecewise function f(x)={(1/3 x-1" if "x≤0 -1/2 x+6" if "0<x≤6 is attached in the solution.
What is a piecewise function?A piecewise function is a function that is defined on a sequence of intervals.
Given is a piecewise function f(x)={(1/3 x-1" if "x≤0 -1/2 x+6" if "0<x≤6
Plotting the graph for:
f(x)={(1/3 x-1" if "x≤0 -1/2 x+6" if "0<x≤6
From the graph, we conclude that:
The graph of the given piecewise function is a straight line with two segments.
The first segment, which lies between x = 0 and x = 6, has a slope of -1/2 and a y-intercept of 6.
The second segment, which lies between x = 0 and x = -∞, has a slope of 1/3 and a y-intercept of -1.
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What is the median for the set of data 3.5 1 3 4
Answer:
3.5
Step-by-step explanation:
Test Scores
1, 1, 2, 3, 3, 4, 4, 5, 5, 5
median(middle #)
(3+4)/2 = 7/2 = 3.5
Answer:
3.5
Step-by-step explanation:
help neededdd.......
Answer:
1. -5a
Step-by-step explanation:
The definition of combining like terms is adding their coefficients, for example: 2x + 3x = (2+3)x = 5x.
So for this one, -21a+16a = (-21+16)a = -5a.
Which of the following cannot be combined?3x² + 5x²-10x + 8x-7x + 12x³8x4 - 6x4
REQUIRED:
To determine which of the given statements cannot be combined.
Step-by-step solution;
To combine like terms when we have terms with unknown values, we look at the variables and their exponential powers. That means x squared and x squared are like terms since the exponential power of both is 2. However, when the exponential powers are different, then they are NOT like terms and therefore cannot be combined. We now have;
\(\begin{gathered} x^2\text{ }and\text{ }x^2\text{ }(are\text{ }like\text{ }terms\text{ }and\text{ }can\text{ }be\text{ }combined) \\ \\ x^2\text{ }and\text{ }x^3\text{ }(are\text{ }NOT\text{ }like\text{ }terms\text{ }and\text{ }cannot\text{ }be\text{ }combined) \end{gathered}\)Therefore, for the expressions given;
\(3x^2+5x^2=8x^2\)\(-10x+8x=-2x\)\(\begin{gathered} -7x+12x^3 \\ \\ CANNOT\text{ }be\text{ }combined! \end{gathered}\)\(8x^4-6x^4=2x^4\)Therefore,
ANSWER:
The third option is the correct answer.
i need to know what 9+10=
this is literally kindergarten math smh
its 21
PLEASE HELP ME ITS DUE TODAY
Answer:
she earn 4 per hour
Step-by-step explanation:
12 divide by 3 equal 4
20 divide by 5 equal 4
Use Pythagoras' theorem to calculate the length of FG. Give your answer in centimetres (cm) to 1 d.p. 8 cm H 13 cm G
The length of FG is approximately 15.3 cm.
To calculate the length of FG using Pythagoras' theorem, we need to find the length of the hypotenuse (FG) of a right triangle. Let's denote the length of FG as x.
According to Pythagoras' theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have:
\(FG^2 = GH^2 + FH^2\)
Given that GH = 8 cm and FH = 13 cm, we can substitute these values into the equation:
\(x^2 = 8^2 + 13^2\)
\(x^2 = 64 + 169\)
\(x^2\) = 233
To find x, we take the square root of both sides:
x = √233 ≈ 15.26 cm (rounded to 1 decimal place)
Therefore, the length of FG is approximately 15.3 cm.
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The scores on the push-up portion of a physical fitness test had a mean of 62 and a median of 60. One athlete was
absent during the test, and his score was not included in the calculations. If his score of 67 were added to the
distribution of scores, what would happen to the mean and median?
O The mean would increase and the median would decrease.
The mean would increase and the median would stay about the same.
The mean would decrease and the median would stay about the same.
The mean would decrease and the median would increase.
Answer: the mean would increase and the median would stay about the same
Step-by-step explanation:
The mean would increase and the median would decrease. Then the correct option is A.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
The scores on the push-up portion of a physical fitness test had a mean of 62 and a median of 60. One athlete was absent during the test, and his score was not included in the calculations. If his score of 67 was added to the distribution of scores.
The value of the mean will increase because a score of 67 is more than the mean of 62. And the median will decreases.
The mean would increase and the median would decrease. Then the correct option is A.
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1/2 to exponent of 4
Answer:
0.0625 is the answer.
Hope it helps you!!!
Find the volume of the prism.
9km 8km 6km
The correct answer is option B which is the volume of the prism is 216 km³.
What is the volume of the prism?A prism is a three-dimensional solid with a triangular base called a triangular prism. The volume of the triangular prism is equal to the product of the area of the base and the height of the prism.
The volume of the prism will be calculated by using the formula below:-
V = Area of the base x Height
Since the base is a right-angle triangle so we will calculate the area of the right-angle triangle.
V = Area of the triangle x Height
V = ( 1/2 ) x 8 x 6 x ( 9 )
V = 216 km²
Therefore the correct answer is option B which is the volume of the prism is 216 km³.
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which of these is not a linear graph.
Answer:
D
Step-by-step explanation:
It isn't linear
Answer:
D)
Step-by-step explanation:
Linear graphs are straight they can be positive or negative but they do not have bending points in them.
I added a picture to help you
30 PTS
WILL MARK BRAINLYIST
Whale watching tours out of Boston harbor are very popular. Ship A is 10 miles east of ship B. Ship A spots
a whale on a at an angle of 40 °South of West. Ship B spots the same whale on a 30° South of East How far
is the whale from Ship A? Draw a large neat diagram-which includes all given information and any variable
you will solve for.
Answer:
You need us to draw a diagram or say wether it is from ship A or not only?
A dinner table is 5 feet wide and 7 feet long.
Find the area of the table.
A.
75
B.
35
C.
30
D.
144
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The true statements are:
The radius of the circle is 3 units.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.What is circle?A circle is a closed, two-dimensional shape where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the middle.
To identify the true statements, we can first rewrite the given equation of the circle in standard form:
x² - 2x + y² = 8
Completing the square, we get:
(x - 1)² + y² = 9
Now we can identify the true statements:
The radius of the circle is 3 units. (True, the equation is in standard form (x-1)² + y² = 3²)The center of the circle lies on the x-axis. (False, the center is (1,0))The center of the circle lies on the y-axis. (False, the center is not on the y-axis)The standard form of the equation is (x – 1)² + y² = 3. (True, as shown above)The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9. (True, both circles have a radius of 3)Therefore, the true statements are:
The radius of the circle is 3 units.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.Learn more about circle on:
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10 students of a class had a mean score of 70. The remaining 15
students of the class had mean score of 80. What is the mean score of
the entire class?
Oops someone else answered it before me
An account pays 6% compound interest. In year 1, the amount in the account is $70. How much is in the account in year 5?
Answer:
$91 is the answer.
Step-by-step explanation:
R = 6%
P = $70
T = 5 year
now
I = PTR/100
=(70×5×6)100
= 2100/100
= $21
So,
I = A-P
21 = A-70
21+70 = A
so, A = $91
Point O is the center of the square ABCD. Point E is the midpoint of line segment CD. The area of square ABCD is 24, what is the are of the quadrilateral BCEO?
Answer: You divided 24 by 3 then you take the answer
Step-by-step explanation:I hope it help