Answer:
1/9 is correct
1/3 for 1st spin, 1/3 for 2nd spin. You just multiply them.
What is the equation of the line in slope-intercept form that passes through point (0, −2) and is parallel to the line y = -1/2 + 6? Show all necessary steps.
Answer:
y = - \(\frac{1}{2}\) x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mc + c ( m is the slope and c the y- intercept )
y = - \(\frac{1}{2}\) x + 6 ← is in slope- intercept form
with slope m = - \(\frac{1}{2}\)
• Parallel lines have equal slopes , then
slope of parallel line = - \(\frac{1}{2}\)
the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = - \(\frac{1}{2}\) x - 2 ← equation of parallel line
There are several vehicles in a parking lot. Some of them are motorcycles
(with 2 wheels), and some are cars (with 4 wheels). There are 10 vehicles in
the lot, and there are 32 wheels. How many vehicles of each type are in the
lot?
Answer:
There are four motorcycles and six cars.
Step-by-step explanation:
Let m represent the number of motorcycles and c represent the number of cars.
Since there are ten vehicles in total, the sum of the number of motorcycles and the number of cars must total ten. Hence:
\(m+c=10\)
And since each motorcycle has two wheels and each car has four wheels and there are 32 wheels in total:
\(2m+4c=32\)
Solve the system of equations. First, we can divide the second equation by two:
\(m+2c=16\)
From the first equation, we can subtract c from both sides:
\(m=10-c\)
Substitute:
\((10-c)+2c=16\)
Simplify:
\(10+c=16\)
Therefore:
\(c=6\)
There are six cars.
Using the modified equation:
\(m=10-c\)
Solve for m:
\(m=10-(6)=4\)
So, there are four motorcycles and six cars.
50 Points! Multiple choice algebra graphing question. Which square root function is represented by the graph? Photo attached. Thank you!
A square root function that is represented by the graph include the following: A. f(x) = √(4x + 8).
What is a square root function?In Mathematics and Geometry, a square root function can be defined as a type of function that typically has this form f(x) = √x, which basically represent the parent square root function i.e f(x) = √x.
In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent functions.Therefore, the required square root function is given by;
f(x) = √(4x + 8)
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Could you help me to solve this
Answer:
No, sorry about that, buddy, I cannot.
Graph the solution to the inequality on the number line. w−0.9>−2.1 First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.
The solution to the inequality \(w - 0.9 >-2.1\) is \(w >-1.2\)
InequalityInequalities are used to represent expressions of unequal values
The inequality is given as:
\(w - 0.9 >-2.1\)
Add 0.9 to both sides of the inequality
\(w - 0.9+ 0.9 >-2.1 + 0.9\)
Simplify the inequality
\(w >-1.2\)
The above inequality means that:
The arrow on the number line points to the rightThe arrow begins at point -1.2 with an open circle or dotted linesSee attachment for the inequality that represents \(w >-1.2\)
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PLEASE HELP ME ASAP NOW PLEASE
The lines with a slope larger than f(x) are:
option 4) y = (25/3)*x - 1/2
option 5) (4/5)*y - 16x = -1/2
Which one is the linear equation shown on the graph?A general linear equation can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
First, you can see that the line crosses the y-axis at y = -4, so the line is something like:
y = a*x - 4
And we can see that it crosses the x-axis at x = 2, then we can write the equation:
0 = a*2 - 4
4 = a*2
4/2 = a
2 = a
So the linear equation on the graph is:
y = 2*x - 4
The slope is 2, the linear equations with a slope larger than that are:
option 4) y = (25/3)*x - 1/2
option 5) (4/5)*y - 16x = -1/2
Which can be rewritten as:
y = (5/4)*16x - (5/4)*(1/2)
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Solve me the question
The mean, mean deviation mode, median standard deviation, and coefficients of variation, CV, are as follows;
1. The mean deviation about the mean, median mode are;
2.653, 3.709, and 3.709, respectively
The coefficients of variation are;
0.364, 0.337, 0.337, respectively
The variance is about 9.462
The standard deviation is about 3.076
2. Section A has a higher relative dispersion than section B
3. City 2
4. a. Mean ≈ 43.85
b. Mode 40 - 54 inches
c. Median ≈ 45.16
The variance ≈ 125.8056
Standard deviation ≈ 11.216
Coefficient of variation ≈ 0.268
What is a coefficient of variation?The coefficient of variation of a data quantifies or is a measure of the variability of the values in the set of data.
The mean for the data can be calculated as follows;
Mean = (3×10 + 6×15 + 11×25 + 2×6 + 4×4 + 10×3 + 5×2 + 7×8 + 8×9 + 9×4)/(10+15+25+6+4+3+2+8+9+4) ≈ 7.29
The median is the 86/2 value = 43rd value
10 + 15 + 25 = 50
Therefore, the median is in the class with a frequency of 25, which is 11
The mode of the data, which is the value with the highest frequency in the data set is 11
The mean deviation from the mean is therefore;
(|3 - 7.29|×10 + |6 - 7.29|×15 + |11 - 7.29| ×25 + |2 - 7.29| ×6 + |4 - 7.29| ×4 + |10 - 7.29| ×3 + |5 - 7.29| ×2 + |7 - 7.29|×8 + |8 - 7.29| ×9 + |9 - 7.29| ×4)/(10+15+25+6+4+3+2+8+9+4) ≈ 2.653
The coefficient for the mean deviation about the mean is therefore; 2.653/7.29 ≈ 0.364
The mean deviation about the median is therefore;
(|3 - 11|×10 + |6 - 11|×15 + |11 - 11| ×25 + |2 - 11| ×6 + |4 - 11| ×4 + |10 - 11| ×3 + |5 - 11| ×2 + |7 - 11|×8 + |8 - 11| ×9 + |9 - 11| ×4)/(10+15+25+6+4+3+2+8+9+4)
The mean deviation about the median = 319/86 ≈ 3.709
The coefficient ≈ 3.709/11 ≈ 0.337
The median = The mean deviation about the mode ≈ 3.709
The coefficient is about 0.337
The variance = (10×(3 - 7.29)² + 15×(6 - 7.29)² + 25×(11 - 7.29)² + 6×(2 - 7.29)² + 4×(4 - 7.29)² + 3×(10 - 7.29)² + 2×(5 - 7.29)² + 8×(7 - 7.29)² + 9×(8 - 7.29)² + 4×(9 - 7.29)²)/(10+15+25+6+4+3+2+8+9+4) ≈ 9.462
The standard deviation, s ≈ √(9.462) ≈ 3.076
2. The coefficient of variation, CV, can be used to compare the variability of the datasets comprising of different scales as follows;
CV = Standard deviation/( The mean of the data)
Therefore; CV for section A = 23/79 ≈ 0.2911
CV for section B = 11/64 ≈ 0.172
The higher CV value for section A indicates that the scores of section A have a higher relative dispersion than the scores for the section B
3. The consistency values can be obtained by finding the standard deviation for the values in the data for each city, using a web based tool as follows;
City 1; Mean = 23
Variance = 50/4
Standard deviation, City 1 = (√(50))/2 = 5·√2/2
City 2; Mean = 21.8
Sample variance = 2.2
Standard deviation, City 2 = √(2.2) ≈ 1.483
City 3; Mean = 29.2
Sample variance = 18.7
Standard deviation, City 3 = √(18.7) ≈ 4.324
The standard deviation of city 2, which is the smallest compared tom the other cities, indicates that the City 2, has the most consistent temperature
4. The mean of the data obtained from the data using the midpoint of the data, is; Mean = ∑fx/∑f
Therefore; The mean obtained using an online tool is; 43.85
The mode is the data that occurs most frequently, which is the data with the value; 40 - 54 inches
The median is the value at the middle of the data set, which is the value with a frequency of 53, and in the interval 40 - 54 inches
The median is; 39.5 + (54.5 - 39.5) × (50 - 30)/53 ≈ 45.16
The standard deviation found for the grouped data, using an online tool is as follows;
Variance, σ² ≈125.8056
The standard deviation, σ ≈ √(125.8056) ≈ 11.216
The coefficient of variation is; 11.216/41.83 ≈ 0.268
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it took the Phillips family 6 hours
to drive to their vacation
destination. Due to traffic, it took
them 8 hours and 42 minutes to
drive home.
Percentage for Increase or Decrease!!
Answer:
Percentage increase.
Step-by-step explanation:
It took the Phillips family 6 hours to drive to their vacation destination. 2 hours and 42 minutes extra because of traffic.
8 hours 42 minutes
-
6 hours 0 minutes
=
2 hours and 42 minutes
Percentage increase.
Find the missing side.
+
18
12
x = [?]
Round to the nearest tenth.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{18}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{12} \end{cases} \\\\\\ x=\sqrt{ 18^2 - 12^2}\implies x=\sqrt{ 324 - 144 } \implies x=\sqrt{ 180 }\implies x\approx 13.4\)
The missing side of a right-angled triangle, assuming it to be the hypotenuse with other sides as 12 and 18, can be calculated using the Pythagorean theorem. The square root of the sum of 12^2 and 18^2 gives the length of the hypotenuse, which is approximately 21.6 when rounded to the nearest tenth.
Explanation:This question relates to the Pythagorean theorem which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².
Assuming that the missing side in your question (x) is the hypotenuse and the other two sides are 12 and 18, you can calculate it using the aforementioned theorem. Therefore, you find x by calculating the square root of (12² + 18²), or √(144 + 324) which equals to √468. This value, rounded to the nearest tenth, is 21.6.
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Helpppppppp.................
Find the area of the circle r=6 ft 113.04 ft2, 9.42 ft2, 28.26ft2, 37.68 ft2, 18.84 ft2
Answer:
113.04ft^2
Step-by-step explanation:
Like before \(A=\pi r^2\\=\pi 6^2\\=113.04ft^2\)
Melinda is at tennis practice. She hits 32 tennis balls a minute. She hit 45 tennis balls before practice. If Melinda hit a total of 1,645 tennis balls, how long was she at practice?
A. 45 minutes
B. 50 minutes
C. 60 minutes
D. 52 minutes
Please give an explanation or a step-by-step process! Thank you
Melinda practice tennis for 50 minutes.
Given,
Number of balls Melinda hits in a minute = 32
Number of balls Melinda hits before practice = 45
Total number of balls Melinda hit = 1645
We have to find the total time Melinda taken for practice:
Number of balls Melinda hits at practice:
= Total number of balls Melinda hit - Number of balls Melinda hits before practice
= 1645 - 45 = 1600
Now,
The total time Melinda taken for practice:
= Number of balls Melinda hits at practice / Number of balls Melinda hits in a minute
= 1600 / 32
= 50
That is, Melinda practice tennis for 50 minutes.
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An expression is shown.
re-
emer
30.25 -(-5.7) - 2.08
What is the value of the
expression?
Answer:
Step-by-step explanation:
-(-5.7) = 5.7
30.25 - (-5.7) - 2.08 = 30.25 + 5.7 -2.08
Now add 30.25 & 5.7
= 35.95 - 2.08
= 33.87
Make A the subject..............................................
Answer:
Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
What is the formula for net cost price
Answer:
Hope this helps lol !
Step-by-step explanation:
This is how to calculate net price. Start with the list price and add any taxes and other government-mandated charges. Then subtract any discounts, negotiated prices. The result you get will be the net price.
What is 8 divide 1/5?
What is 8 divide by 1/5
Answer:
40
Step-by-step explanation:
Y=(x-2)^2+3 vertex form to standard form
The required vertex form of the given equation is y = x² - 4x + 7.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
y = (x - 2)² + 3
Simplifying the expression,
y = x² -4x + 4 + 3 {since (a - b)² = a² + b² -2ab}
y = x² - 4x + 7
Thus, the required vertex form of the given equation is y = x² - 4x + 7.
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Find a degree 4 polynomial having zeros -5, -2, 4 and 8 and the coefficient of x^4 equal 1.The polynomial is
ANSWER
The polynomial is:
\(x^4-5x^3-42x^2+104x+320\)EXPLANATION
Note: If n is a zero of a polynomial, then (x-n) is a factor of the same polynomial. Hence, the factors for the given zeros are:
P(x) = (x+5)(x+2)(x-4)(x-8)
Let's multiply these out to obtain the polynomial in Standard Form.
\(\begin{gathered} P\mleft(x\mright)=(x+5)\mleft(x+2\mright)\mleft(x-4\mright)\mleft(x-8\mright) \\ P(x)=(x^2+2x+5x+10)(x^2-8x-4x+32) \\ P(x)\text{ = }(x^2+7x+10)(x^2-12x+32) \\ P(x)=x^4-12x^3+32x^2+7x^3-84x^2+224x+10x^2-120x+320 \\ P(x)\text{ = }x^4-5x^3-42x^2+104x+320 \end{gathered}\)help me pls i am confused lol
Answer:
\(cotθ = \frac{7 \sqrt{51} }{51} \)
\(sinθ = \frac{ \sqrt{51} }{10} \)
\(cscθ = \frac{10 \sqrt{51} }{51} \)
Step-by-step explanation:
Please see the attached picture for the full solution.
what is Arithmetic Series
Answer:
I am pretty sure it is when you have a sequence of numbers that you are subtracting or adding from by the same constant over and over
Step-by-step explanation:
an=a1+(n-1)d
d=common difference
an= the nth term in the sequence
a1 first term in the sequence. (Usually you can plug in 1, as the n, and work from there)
please help answer ASAP will mark brainlyest
ANSWER 92°
REMEMBER! angles in a triangle add up to 180°
this means that:
(x) + (3x + 13) + (x - 8) = 180
5x + 5 = 180
5x = 175
therefore x = 35
now that we know x, we can apply this to work out the angle mentioned, the angle a:
A = 3(35) - 13
= 92°
I need help, anyone please.
Answer:
Its B
Step-by-step explanation:
Linear funtions need 1 x value for every y value so its B
Find the value for x.
5x - 12
3x + 30
48
The value of x will be;
⇒ x = 3.75
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;
The expression is,
⇒ 5x - 12 + 3x + 30 = 48
Now,
Solve the expression for x as;
The expression is,
⇒ 5x - 12 + 3x + 30 = 48
⇒ 8x - 12 + 30 = 48
⇒ 8x + 18 = 48
Subtract 18 both side as,
⇒ 8x - 18 = 48 - 18
⇒ 8x = 30
Divide by 8 as;
⇒ x = 30/8
⇒ x = 3.75
Thus, The value of x will be;
⇒ x = 3.75
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-) Aspirin has a half-life of 6 hours in the blood stream. If a person takes 625mg, how long will it take for there to be 150mg left in the bloodstream?
It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.
We have,
To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.
The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.
Let's calculate the number of half-lives required to reach 150mg:
Initial amount of aspirin = 625mg
Final amount of aspirin = 150mg
625mg / 150mg = 4.17
This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.
Since each half-life is 6 hours, we can calculate the total time it will take:
Total time = Number of half-lives * Half-life duration
Total time = 4.17 x 6 hours
Total time ≈ 25 hours and 1 minute
Therefore,
It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.
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Solve 4(3x+3)=15x+7-3x+5
Answer:
Infinite amount of solutions
Step-by-step explanation:
Step 1: Write equation
4(3x + 3) = 15x + 7 - 3x + 5
Step 2: Solve for x
Distribute 4: 12x + 12 = 15x + 7 - 3x + 5Combine like terms: 12x + 12 = 12x + 12Subtract 12 on both sides: 12x = 12xDivide both sides by 12: x = xHere, we can see that x would be infinite amount of solutions. We can plug in any number x and it would render the equation true.
many many many questions from me....
Answer:
B is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Which graph represents a function, f(x), that has a slope of 3 units and f(0) = 14?
Please help me
Answer:
A
Step-by-step explanation:
Can I get help with this, I’m so confused
The linear and exponential equations for the amount of money in the banks indicates;
TCF Bank Equation
y = 100·x + 1000
Well Fargo Bank Equation
y = (1.06)ˣ
The number of years it will take for both accounts to have the same amount of money is about 17 years
What is an exponential equation?An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.
The equation for calculating the amount in each bank, based on the details are;
TCF Bank;
Amount invested = $1,000
Amount added each year = 100·x
The TCF Bank Equation is; y = 100·x + 1000Well Fargo Bank Equation
The percentage of the amount earned as interest each year = 6% = 0.06
The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ
Therefore; y = 1000·(1.06)ˣ
The Well Fargo Bank Equation is; y = 1000·(1.06)ˣWhen the amount in the two accounts have the same amount of money, we get;
1000·(1.06)ˣ = 100·x + 1000
Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1
(1.06)ˣ = 0.1·x + 1
Solving the above equation using the substitution method and graphing indicates that we get;
x = 0, and x ≈ 17.125732
Therefore, it takes about 17 years for the two accounts to have the same amount of money
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Tamara's window store made a mosaic for the community center. The mosaic had a 7 × 7 array of different color square tiles. If each tile is 3 1/2
ft long, what is the area of the whole mosaic?
The area of the whole mosaic is 603.25 square feet.
What is the arithmetic operations?
Arithmetic operations are basic mathematical calculations that involve numbers and symbols, such as addition, subtraction, multiplication, and division.
The mosaic has a 7 × 7 array of square tiles, each of which is 3 1/2 ft long. To find the area of the whole mosaic, we need to find the total number of tiles in the mosaic and then multiply by the area of each tile.
The total number of tiles in the mosaic is simply the product of the number of rows and the number of columns, which is 7 × 7 = 49.
The area of each tile is the square of its length, so the area of each tile is:
\((3 1/2 ft)^2 = (7/2 ft)^2 = 49/4 ft^2\)
Therefore, the area of the whole mosaic is:
\(49 tiles * (49/4 ft^2/tile) = 603.25 ft^2\\\)
Hence, the area of the whole mosaic is 603.25 square feet.
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pls help me on algebra here is screenshot
Answer:
The answer to the question provided is option 2.