Answer:
15 1/6
Step-by-step explanation:
change -8 2/3 into an improper fraction = -26/3
-4/7v = -26/3
cross-multiply:
3(-4v) = (-26)7
-12v = -182
v = 182/12
v = 15 1/6
what is the same as 4 tens and 13 ones?
Answer:
53 ones
Step-by-step explanation:
In 13 ones, there is 1 ten and 3 ones.
4 tens + 1 ten = 5 tens
5 tens = 50 ones
50 ones + 3 ones = 53 ones
Lee co carpeted it's offices require 310 square yards of commercial carpet the total cost of the carpet at Home Depot was 10,230 how much did lee pay per square yard
Answer:
$33
Step-by-step explanation:
Lee corporation carpeted it's offices.
They require 310 square yards of commercial carpet
The total cost of the carpet at home depot was 10,230
Therefore the amount that was paid by Lee per square yard can be calculated as follows
= 10,230/310
= $33
Hence, $33 was spent by Lee per square yard
Which property should be used next in this solution process? 3x+2+3=7(x-1)-4. 3x+5=7(x-1)-4
The GCF of 24 and 32 is...
Answer:
The GCF is 8 there is your anwser
what is 75 in standard notation?
Answer:
I think you meant scientific notation because 75 in standard notation is 75 and also the answer is 7.5 x 10 and a 1 exponent.
Step-by-step explanation:
hope this helps
Solve:
3 (x+ 4) – 5(x - 1) < 5
Answer:
x = -4
Step-by-step explanation:
i think
Answer:
It might be x>6
Sorry if im wrong.
44% is equivalent to what fraction in reduced terms?
Answer:
44/100 will be reduced to 11/25
Step-by-step explanation:
Answer:
11/25
Step-by-step explanation:
First, we know 44% can be changed to 44/100, since 44 is 44% is 100.
Now, we can simplify 44/100:
44/100
= 22/50
= 11/25
So, 44% is equivalent to 11/25
38) If S⊆R is non-empty and bounded below and if −S={−x∣x∈S}, then a) −S is also bounded below and glb(S)=−glb(−S). b) −S is bounded above and glb(S)=lub(−S). c) −S is bounded above and glb(S)=−lub(−S). d) None of the above. 39) Let S⊆R. If 7 is a lower bound of S and −5 is an upper bound, then which of the following holds? a) S is unbounded. b) S=∅. c) There is no such set S. d) None of the above.
1. The correct option is a) −S is also bounded below and glb(S)=−glb(−S).
2. The correct option is d) None of the above.
1. Since S is bounded below, −S will also be bounded below because the negation of a lower bound is an upper bound. The greatest lower bound (glb) of S will be equal to the negation of the greatest lower bound of −S.
2. Given that 7 is a lower bound of S and −5 is an upper bound, it does not provide enough information to determine if S is bounded or not. It is possible for S to be bounded or unbounded, and it is also possible for S to be empty or non-empty. Therefore, none of the options listed can be concluded based on the given information.
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Help me :) I need to find the value of x and find the m
A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? 36 characters 144 characters 360 characters 432 characters.
Answer:
432 characters
Step-by-step explanation:
There are 36 inches in a yard, so there will be 36 times 12 characters:
(36 in/yd)(12 char/in) = 432 char/yd
432 characters can be expected per yard of text.
Consider the function f(x) = 10x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)?
The function g(x) gets shifted toward right by 6 units. Then the correct option is C.
The complete question is attached below.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
The function f(x) is given below.
f(x) = 10ˣ
And the function g(x) is given as
g(x) = f(x – 6)
Then the function can be written as
\(\rm g(x) = 10^{x - 6}\)
The function g(x) gets shifted toward right by 6 units.
Then the correct option is C.
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twice the square of 52
The two numbers that satisfy the given conditions are -12 and -2.
Let's represent the first number by "x" and the second number by "y". Based on the problem statement, we can set up two equations:
x = 2y - 8 (Equation 1) x² + y² = 52 (Equation 2)
Equation 1 represents the relationship between the two numbers as given in the problem statement. The first number is 8 less than twice the second number. Equation 2 represents the sum of squares of the two numbers, which is given as 52.
We can solve Equation 1 for x in terms of y:
x = 2y - 8 x + 8 = 2y y = (x + 8)/2
Now we can substitute this expression for y into Equation 2 and simplify:
x² + y² = 52 x² + [(x + 8)/2]² = 52 x² + (x² + 16x + 64)/4 = 52 4x² + x² + 16x + 64 = 208 5x² + 16x - 144 = 0
We now have a quadratic equation in terms of x. We can solve for x using the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a = 5, b = 16, and c = -144. Plugging these values into the formula gives us:
x = (-16 ± √(16² - 4(5)(-144))) / 2(5) x = (-16 ± √(16² + 2880)) / 10 x = (-16 ± √(2916)) / 10 x = (-16 ± 54) / 10
We get two possible values for x: x = 2.8 or x = -12. We can check these values by substituting them back into Equation 1 and seeing if they satisfy Equation 2. However, we notice that the first value is not a whole number, which suggests that it may not be a valid solution. Therefore, we will discard x = 2.8 and use x = -12.
Using x = -12 in Equation 1, we can solve for y:
x = 2y - 8 -12 = 2y - 8 -4 = 2y y = -2
So the two numbers are x = -12 and y = -2. We can check that these values satisfy Equation 2:
x² + y² = 52 (-12)² + (-2)² = 52
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Complete Question:
The sum of the squares of two numbers is 52. If the first number is 8 less than twice the second number, what are the numbers?
Write these values in order starting with the smallest: 0. 5 1/5 5%
Answer:
0, 5%, 1/5, 5
5% is equal to 5÷100=0,05
1/5 is equal to 1÷5=0,2
what is 2xAnd when x =0
Answer: 0
Step-by-step explanation:
2(0)=0
Answer:
0 is the answer
Step-by-step explanation:
Anything multiplied by x is 0
Write the equation of the line in Point-Slope Form given the information below. Use Point One. point 1=(-1,-1) Point 2-(0,4)
Answer:
\(\bold{y+1=5(x+1)}\)
Step-by-step explanation:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-1,\,-1)\ \implies\ x_1=-1\,,\ y_1=-1\\(0,\,4)\ \implies\ x_2=0\,,\ y_2=4\\\\m=\dfrac{4-(-1)}{0-(-1)}=\dfrac{5}{1}=5\)
\(y-y_1=m(x-x_1)\) - point-slope form of Equation of the Line
\(x_1=-1\,,\ y_1=-1\,,\ m=5\\\\equation:\\{}\qquad\qquad y-(-1)=5\big(x-(-1)\big)\\\\{}\qquad\qquad y+1=5\big(x+1\big)\)
Use Green's theorem for circulation to evaluate the line integral θ∫θ F. dr. F = ((xy^2 + 2x), (3x + y^2)) and C is the positively oriented boundary curve of the region bounded by y = 1, y = 2 y = -2x, and x = y^2 2(3√ 2 +2)
Answer:
The value of the line integral is 2(3√2 + 2).
Step-by-step explanation:
We can use Green's theorem for circulation to evaluate the line integral:
θ∫θ F · dr = ∬R ( ∂Q/∂x - ∂P/∂y ) dA
where F = (P, Q), R is the region bounded by the curve C, and the integral is over R.
First, we need to find the partial derivatives of P and Q:
∂P/∂y = 0
∂Q/∂x = y^2 + 2
Then, we can evaluate the double integral over the region R:
θ∫θ F · dr = ∫-2^(1/2)^(3/2) ∫y^2/2 -2x (y^2 + 2) dx dy
Evaluating the inner integral with respect to x, we get:
∫y^2/2 -2x (y^2 + 2) dx = (y^4/8 - y^2 - 2xy^2 - 4x)|y^2/2 -2x = (-9/8)y^2 - 8y^(5/2)/5
Then, evaluating the outer integral with respect to y, we get:
θ∫θ F · dr = ∫-2^(1/2)^(3/2) (-9/8)y^2 - 8y^(5/2)/5 dy
= (-9/24)(y^3)|-2^(1/2)^(3/2) - (8/7)(y^(7/2))|-2^(1/2)^(3/2)
= 2(3√2 + 2)
Therefore, the value of the line integral is 2(3√2 + 2).
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Can someone solve this for me pls
Answer:
a= m<SQR
Step-by-step explanation:
Angle relationships worksheet #2
Answer:
You didn't put the worksheet.
30% × 750 =
(30 ÷ 100) × 750 =
(30 × 750) ÷ 100 =
22,500 ÷ 100 =
225;
Answer:
1.250
2.225
3.225
4.225
tyler wants to use $300 he has saved to buy a new guitar and join a music club. the guitar costs $140. the music club has a $25 membership fee, and for $11.95 per month, members can download 30 songs. tyler can afford the music club membership for ____ months, after which he will have ____ left.
You are considering the purchase of either 100 shares of Health Care Right at $28.06 per share or 80 shares of Health Care Provider at $40.90 per share. Health Care Right is expected to pay a dividend of $1.34 per share, and Health Care Provider is expected to pay a dividend of $2.24 per share.
A. If you bought the 100 shares of Health Cate Right, what would you receive in annual dividends?
B. What would your annual yield be?
C. If you bought the 80 shares of Health Care Provider, what would you receive in annual disidentes?
D. What would your annual yield be?
A. If yοu bοught the 100 shares οf Health Care Right, yοu wοuld receive $134 in annual dividends.
What is the annual yield?Annual yield is the return οn an investment οver a οne-year periοd, expressed as a percentage. It is calculated by dividing the incοme οr prοfit generated by the investment οver the cοurse οf a year by the tοtal amοunt οf mοney invested.
B. Tο calculate the annual yield, we divide the annual dividends by the tοtal cοst οf the investment:
Annual yield = annual dividends / tοtal cοst οf investment
Tοtal cοst οf investment = $28.06 per share x 100 shares = $2,806
Annual yield = $134 / $2,806 = 0.0477, οr 4.77%
Therefοre, the annual yield fοr this investment wοuld be 4.77%.
C. If yοu bοught 80 shares οf Health Care Prοvider at $40.90 per share, yοu wοuld receive a tοtal οf:
$2.24 dividend per share x 80 shares = $179.20 in annual dividends
D. Tο calculate the annual yield, we divide the annual dividends by the tοtal cοst οf the investment:
Tοtal cοst οf investment = $40.90 per share x 80 shares = $3,272
Annual yield = $179.20 / $3,272 = 0.0548, οr 5.48%
Therefοre, the annual yield fοr this investment wοuld be 5.48%.
Hence,
A. If yοu bοught the 100 shares οf Health Care Right, yοu wοuld receive $134 in annual dividends.
B. The annual yield fοr this investment wοuld be 4.77%.
C. If yοu bοught the 80 shares οf Health Care Prοvider, yοu wοuld receive $179.20 in annual dividends.
D. The annual yield fοr this investment wοuld be 5.48%.
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Sophia went to see a play at the theater downtown. 8:30 PM. The first act was 55 minutes long. Intermission lasted for 20 minutes, and the second act was an hour long. What time was it when the play finished?
A cube has a volume of (0.75xy)3 cubic centimeters.
What is the volume of the cube expressed as a fraction?
The volume of the cube expressed as a fraction will be 27x³y³ / 64.
Given that:
Volume, V = (0.75xy)³
It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.
The volume of the cube expressed as a fraction is calculated as,
V = (0.75xy)³
V = (3xy/4)³
V = 27x³y³ / 64
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What is 17,683 rounded to the nearest ten thousand?
20,000
Thankyou :)
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Consider the diagram and the paragraph proof below.
Given: Right △ABC as shown where CD is an altitude of the triangle
Prove: a2 + b2 = c2
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to point D on side A B to form a right angle. The length of C B is a, the length of A C is b, the length of A B is c, the length of A D is e, the length of D B is f, and the length of C D is h.
Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions StartFraction c Over a EndFraction = StartFraction a Over f EndFraction and StartFraction c Over b EndFraction = StartFraction b Over e EndFraction are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e).
Which is the last sentence of the proof?
Because f + e = 1, a2 + b2 = c2.
Because f + e = c, a2 + b2 = c2.
Because a2 + b2 = c2, f + e = c.
Because a2 + b2 = c2, f + e = 1
The last sentence of the proof states, "By the Pythagorean theorem, since a squared plus b squared equals c squared, the sum of f and e is equal to c."
The proof establishes the proportions and similarities between the triangles in the diagram. It shows that the ratios of corresponding sides in the similar triangles hold true, leading to the proportions a/c = c/a and b/c = c/e. These proportions can be rearranged to obtain a2 = cf and b2 = ce.
The next step in the proof adds b2 to both sides of the equation a2 = cf, resulting in a2 + b2 = cf + b2. Since b2 = ce, we substitute ce into the equation, giving us a2 + b2 = cf + ce.
The final step applies the converse of the distributive property, which states that if a + b = c, then a(b + d) = ab + ad. In this case, we have a2 + b2 = cf + ce, which can be rewritten as a2 + b2 = c(f + e).
Therefore, the last sentence of the proof concludes that because a2 + b2 = c2 (as derived from the previous steps), it follows that f + e = c. This statement completes the proof and establishes the relationship between the lengths of the sides and the altitude in the right triangle. Option C is correct.
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A psychologist studied the number of hours a worker sleeps at night and the number of errors made in a given task the following morning. Table 1 shows the results for the twenty people who were studied. It was also discovered that the average number of errors made by a normal person is 5.6.
Person 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Hours of sleep 4 8 6 10 5 6 7 7 9 3 10 8 12 3 9 5 4 3 12 7
Mistake done 7 2 8 6 9 6 9 8 1 9 8 3 6 4 2 6 8 5 2 3
Table 1
Based on Table 1 above:
Illustrate the two variables given (separately) by means of a bar chart. You are required to prepare TWO different graphs for the variables. The first graph your x-axis will be hours of sleep (horizontal line) and your y-axis will be frequency (vertical line). The second graph your x-axis will be mistakes done (horizontal line) and your y-axis will be frequency (vertical line). CANNOT COMBINE THE GRAPHS
It should be noted that the number of hours slept will have to be plotted on the x-axis.
Also, the number of mistakes that was made will be plotted on the y-axis.
Each point on the scatterplot will represent one participant in the study.
How to explain the scatterplotIt should be noted that to illustrate the two variables given in Table 1, we can create a scatterplot using R code.
In this case the number of hours slept will have to be plotted on the x-axis, and the number of mistakes made will be plotted on the y-axis.
Looking at the scatter plot, we can see that there is a general trend that more hours of sleep are associated with fewer mistakes made.
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Marjane wants to create a set of data with 6 values. She wants the mode to be as good as the median to represent the data set. Which set of data best represents what Marjane could create?
24, 24, 25, 29, 29, 29
24, 25, 26, 27, 30, 30
24, 25, 25, 25, 26, 26
24, 24, 25, 26, 26, 27
As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).
In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.
The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.
The third set of data is 24, 25, 25, 25, 26, 26.
The median is the middle value, which is also (25+25)/2 = 25.
The mode is the value that appears most frequently, which is 25.
Therefore, the mode and median are the same, fulfilling Marjane's requirement.
Therefore, the correct option is (c).
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2х - Зу = -1
y=x - 1
Answer:
r666666666666666666666666655555555555555555555555555555555555555555555
Can I please get HELP? ( Picture included)
Answer:
no entiendo la version de esa mathematica
Step-by-step explanation:
Answer:
i think it is 26.
Step-by-step explanation:
180-134=46
180-160=20 so
ABC (46)- XYZ (20)=26.
The best unit of measure for the liquid in family-sized container of orange juice is the liter.
A. True
B. False
Answer:T
Step-by-step explanation:
Answer:
the answer is A.
I did this.
Step-by-step explanation: