Answer:
Step-by-step explanation:
The perimeter of a rhomboid: The perimeter of a rhomboid is the sum of all sides of the figure i.e. P= (a +b + a +b) = 2(a + b).
B is the base of the rhomboid and a is the length of the side of the rhomboid.
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Lindsey estimated the amount of liquid in a container to be 80 ml. The actual amount of liquid was 83 ml. What is the percent error? Round your answer to the nearest whole percent.
Complete the expressions and select the missing properties.
Write each answer as a number, a variable, or the product of a number and a variable.
p + 12 is the resulting expression using commutative law of addition.
Solving linear expressionLinear expression are expression that has a leading degree of 1.
Given the expression below
4 + (8 + p)
Using the commutative law of addition A + B = B + A, we will have:
4 + (8 + p) = (8 + p) + 4
= (4 + 8) + p
= 12 + p
Applying the commutative law, we will have
12 + p = p + 12
Hence the resulting expression using the commutative law of addition is p + 12
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Factor 18p-3618p−3618, p, minus, 36 to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
3(9p-12)3(9p−12)3, left parenthesis, 9, p, minus, 12, right parenthesis
(Choice B)
B
9(2p-4p)9(2p−4p)9, left parenthesis, 2, p, minus, 4, p, right parenthesis
(Choice C)
C
2(9p-18)2(9p−18)2, left parenthesis, 9, p, minus, 18, right parenthesis
(Choice D)
D
18(p-2)18(p−2)
After simplification, the equivalent expression is 18(p-2). So the option D is correct.
In the given question,
We have to find factor 18p-36 equivalent expressions.
The given option is
A. 3(9p-12)
B. 9(2p-4p)
C. 2(9p-18)
D. 18(p-2)
The given expression is 18p-36.
We simplify the given expression to find their equivalent expression.
To simplify the expression we take out the common term from both terms.
We can see that 18 is a common multiply of both number 18 and 36. SO we take out 18 from both terms.
Taking common 18
18p-36 = 18(p-2)
Hence, the equivalent expression is 18(p-2). SO the option D is correct.
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Cecilia records the weight change in her cat over 2 weeks. What number does she record as the total weight change for her cat?
LOOK AT THE ATTACHED PICTURE
Answer:
The total change is \(\frac{1}{16\\}\)
Step-by-step explanation:
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Step-by-step explanation:
42 5/9 + 7 1/12 = 49 23/36 metres
it is to be added because one ant is at the top and the other is deep below
Rewrite 19/8 as a mixed number.
Answer: 2 3/8
I got an A
Answer:
2 + 3/8
Step-by-step explanation:
Therefore we get 19 / 8 = 2 + 3/8 , which is written as 2 3/8 , called a mixed number. To convert 19/8 you do division; 8 into 19 goes 2 times with 3 left over; so 2 3/8.
The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches. Use this information to answer the questions. (a) What is the probability that a randomly selected woman from this university is 69 inches or taller
Answer: 0.16
Step-by-step explanation:
Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.
According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.
About 68% woman have height between ( 66-3) inches and (66+3) inches.
i.e. About 68% woman have height between 63 inches and 69 inches.
The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]
The percentage of woman have height is 69 inches or taller = 32%÷2
= 16%
Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16
What is 5,783 divided by 6 ?
Add. Write your answer as a mixed number in simplest from.
7 3/4 + 4 2/7
Answer: 12 1/28
Step-by-step explanation:
Add whole numbers. Solve fractions by finding the LCD.
11. x and Y are complementary angles and Tan x = 3√3. Find the value of
\( \frac{1}{2 - tan \: y\\ } \)
Hence rationalise the surd
Answer:
\(\frac{1}{2-tan(y)} = \frac{3\sqrt{3}}{6\sqrt{3}-1}\)
After Rationalising:
\(\frac{1}{2-tan(y)} = \frac{54 +3\sqrt{3}}{107}\)
Step-by-step explanation:
tan(x) = 3√3
x + y = 90 (complimentary angles)
⇒ x = 90 - y
tan(\(\frac{\pi}{2}\) - θ) = cot(θ)
⇒ tan(90 - θ) = cot(θ)
⇒ tan(90 - y) = cot(y)
⇒ tan(x) = cot(y)
⇒ cot(y) = 3√3
⇒ \(\frac{1}{tan(y)}\) = 3√3
⇒ tan(y) = \(\frac{1}{3\sqrt{3}}\)
\(2-tan(y) = 2 - \frac{1}{3\sqrt{3}} \\\\= \frac{2*3\sqrt{3} -1}{3\sqrt{3} } \\\\= \frac{6\sqrt{3} -1}{3\sqrt{3} }\\\\\\\implies \frac{1}{2-tan(y)} \\\\= \frac{3\sqrt{3}}{6\sqrt{3}-1}\)
Multiply and divide by : 6(√3) + 1
\(\frac{3\sqrt{3}}{6\sqrt{3}-1}\frac{6\sqrt{3}+1}{6\sqrt{3}+1}\\ \\= \frac{(3*6*\sqrt{3}*\sqrt{3}) + 3\sqrt{3}}{6^2 * (\sqrt{3})^2 -1^2}\\\\= \frac{18*3 +3\sqrt{3}}{36*3 -1}\\\\= \frac{54 +3\sqrt{3}}{108-1}\\\\= \frac{54 +3\sqrt{3}}{107}\)
Is 2x - 3 = -7 x + 2 > y a true or false statement?
Substitute 9 for x and evaluate the expression below.
(x - 5)-1
OA. 15.
OB. 5
OC. 3
OD. 13
Option (c) 3.
Step-by-step explanation:
The given expression is, \({ \pink{ \sf{(x - 5) - 1}}} \: { \to} \: { \red{ \tt{ {eq}^{n} (1)}}}\)
x = 9 (given).
Substitute the value of x in Eqⁿ (1)
\({ \pink{ \sf{(9 - 5) - 1}}}\)
\({ \pink{ \sf{4 - 1}}}\)
\({ = { \boxed{ \blue{ \sf{3}}}}}\)
What is an equation of a linear function
Answer:
\(C.y = - 5x + 7\)
Step-by-step explanation:
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The coordinates of the vertices of a polygon are (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1).
What is the perimeter of the polygon to the nearest tenth of a unit?
A. 16.0 units
B. 17.2 units
C. 15.4 units
D. 18.8 units
Using the coordinates of the vertices of a polygon (-3, 1), (-3, 3), (-1, 5), (2, 4), and (2, 1) the perimeter of the polygon is 16.0 units
How to find the perimeter of the polygonThe perimeter is calculated by summing the sides
The length of line in an ordered pair is calculated using the formula
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
where
d = distance between the points
x₂ and x₁ = points in x coordinates
y₂ and y₁ = points in y coordinates
(-3, 1) and (-3, 3) =√{(-3 - -3)² + (3 - 1)²} = 2
(-3, 3) and (-1, 5) = √{(-1 - -3)² + (5 - 3)²} = 2√2
(-1, 5) and (2, 4) = √{(2 - -1)² + (4 - 5)²} = √10
(2, 4) and (2, 1) = √{(2 - 2)² + (1 - 4)²} = 3
(2, 1) and (-3, 1) = √{(-3 - 2)² + (1 - 1)²} = 5
The perimeter = 2 + 2√2 + √10 + 3 + 5
The perimeter = 15.9907
The perimeter = 16.0 units
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A manufacturer of MP3 players surveyed one hundred retail stores in each of the firm's sales regions. An analyst noticed that in the South Atlantic region the average retial price was $165 (mean) and the standard deviation was $30. However, in the Mid-Atlantic region the mean price was $170, with a standard deviation of $15. What do these statistics tell us about these two sales regions
Answer:
Kindly check explanation
Step-by-step explanation:
Given :
South Atlantic region :
Mean price = $165
Standard deviation = $30
Mid-Atlantic region :
Mean price = $170
Standard deviation = $15
Based on the mean price computed for the 100 retail stores in the study, we can conclude that the price of MP3 in the south Atlantic region is lesser than that of the mid Atlantic region ;
$165 < $170
However, we can conclude that the variation in the prices of MP3 varies greatly from one store to another in the south Atlantic region with a standard deviation of $30 while in the Mid Atlantic region, the prices are closer and less variable from one store to the other.
A rectangular outdoor seating area has a length 5 feet greater than its width, w. Jonathan will increase both dimensions of the seating area by 3 feet. Which equation represents the new area, N, of the outdoor seating area?
istribute and simplify these radicals square root 12 times (-1+ square root 5)
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PLEASE HELP THIS IS SERIOUS DUE IN 5 MINS
You have been saving $4.50 per week for the last several weeks.
⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⣤⣄⠄⡀⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣴⣿⣿⣿⣿⣷⡒⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⡀⣹⣿⣿⣿⣿⣿⣯⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⣀⣀⣴⣿⣿⣿⣿⣿⣿⠿⠋⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⢀⣀⣤⣶⣾⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⡇⠄⠄⠄⠄⠄⠄⠄ ⠄⡶⣶⡿⠛⠛⠉⠉⠄⠄⠄⠄⢸⣿⣿⣿⣿⣿⣿⣿⠃⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠘⠃⠄⠄⠄⠄⠄⠄⠄⠄⢠⣿⣿⣿⣿⣿⡟⠁⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⣤⣾⣷⣿⣿⣿⣿⡏⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⠂⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⢀⣤⣴⣾⣿⣿⣿⣿⡿⠛⠻⣿⣿⣿⣿⡇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠸⣿⣿⣿⣿⠋⠉⠄⠄⠄⠄⣼⣿⣿⡿⠇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠈⠻⣿⣿⣆⠄⠄⠄⠄⠄⣿⣿⣿⣷⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠻⣿⣿⣆⡀⠄⠄⠈⠻⣿⣿⣿⣦⡄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⣀⣌⣿⣿⣿⣦⡄⠄⠄⠄⠙⠻⣿⣿⣦⣀⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠈⠉⠉⠉⠉⠉⠁⠄⠄⠄⠄⠄⠄⠄⠘⠻⣿⢿⢖⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠉⠉⠁⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⢠⣴⣧⣤⣴⡖⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⣰⣿⣿⣿⣿⣿⣷⣀⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠈⠘⠻⢿⣿⣿⣿⣿⣿⣿⣿⣆⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⢤⣴⣦⣄⣀⣀⣴⣿⡟⢿⣿⡿⣿⣿⣿⣿⣿⣿⡄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠉⠉⠙⠻⠿⣿⡿⠋⠄⠈⢀⣀⣠⣾⣿⣿⣿⣿⣿⡄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠉⠋⠉⠉⠁⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠈⠛⠛⣿⣿⣿⣿⣿⣿⣇⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⢀⣠⣶⣿⣿⠿⢛⣿⣿⣿⣿⣷⣤⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⣶⣷⣿⣿⡉⠄⠄⠄⠄⠉⠉⠉⠉⠉⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠘⠛⠟⢿⣤⣤⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⠄⣠⣶⣶⣷⣿⣶⡊⠄⠄⣀⣤⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⣀⣴⣶⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⡏⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⢸⣿⡍⠁⠄⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠁⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣼⣿⣿⣿⣿⣿⣿⣿⠏⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣿⣿⣿⣿⣿⣿⣿⡿⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢸⣿⣿⣿⣿⣿⡿⠋⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠈⠻⣿⣿⣿⣿⣡⣶⣶⣄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⣀⣀⣠⣴⣦⡤⣿⣿⣿⣿⡻⣿⣿⡯⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡟⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⢻⣿⣿⡏⠉⠙⠛⢛⣿⣿⣿⣿⠟⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⢿⣿⡧⠄⠄⢠⣾⣿⣿⡿⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠈⣿⣿⣄⣼⣿⣿⣿⠏⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠸⡿⣻⣿⣿⣿⣿⣆⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⣿⣻⠟⠈⠻⢿⣿⣿⣆⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠿⠍⠄⠄⠄⠄⠉⠻⣿⣷⡤⣀⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠈⢻⣿⡿⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣿⡯⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠸⠃⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⣠⣶⣶⣤⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣾⣿⣿⣿⣿⣿⡞⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣿⣿⣿⣿⣿⣿⡿⢃⡀⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠘⢿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢈⣽⣿⣿⣿⣿⣿⣿⣿⢿⣷⣦⣀⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣸⣿⣿⣿⣿⣿⣿⣿⣿⠄⢉⣻⣿⡇⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢠⣿⣿⡉⣀⣿⣿⣿⣿⣋⣴⣿⠟⠋⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠄⠄⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠄⢀⣀⣼⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣮⡠⠄⠄⠄⠄ ⠄⠄⠄⠄⢰⣾⣿⣿⡿⠿⠛⠛⠛⠉⠄⠄⠄⠄⠙⠻⢿⣿⣿⣿⣶⣆⡀⠄ ⠄⠄⠄⠄⠄⠹⣿⣿⣦⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢉⣿⣿⣿⣿⣿⠂ ⠄⠄⠄⠄⠄⠄⠈⢿⣿⣇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣴⣾⣿⡿⠟⠉⠄⠄ ⠄⠄⠄⠄⠄⠄⠄⠂⢿⣿⣥⡄⠄⠄⠄⠄⢀⣠⣶⣿⣿⠟⠋⠁⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⣀⣤⣾⣿⣿⣷⣿⣃⡀⢴⣿⣿⡿⣿⣍⠄⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠈⠉⠉⠉⠉⠉⠉⠉⠄⠄⠄⠉⠙⠛⠛⠛⠛⠂⠄⠄⠄⠄⠄
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Solve the System. Give your answer as (x, y, z).
-3x + 2y - 4z = 1
-6x-2y - 5z = 8
12x - 2y-z = -10
(x, y, z) =
=
=
=
Answer:
(x, y, z) = (-1, -1, 0)
Step-by-step explanation:
You want the solution to the system of equations ...
-3x +2y -4z = 1-6x -2y -5z = 812x -2y -z = -10SolutionThe calculator solution is shown in the attachment.
(x, y, z) = (-1, -1, 0)
Ad hocThe coefficient of the y-variable is 2 or -2, which means we can eliminate y terms by adding pairs of equations. Adding the first equation to each of the other two reduces the system to ...
-9x -9z = 99x -5z = -9Adding these two equations together gives ...
-14z = 0 ⇒ z = 0
Substituting this into the second of the reduced equations gives ...
9x = -9 ⇒ x = -1
And substituting for x and z in the first of the original equations gives ...
-3(-1) +2y = 1
2y = -2 . . . . . . . . subtract 3
y = -1
The solution is (x, y, z) = (-1, -1, 0).
#95141404393
The ratio of 1.2 to 29 is the same as the ratio of 4.8 to
Answer:
116
Step-by-step explanation:
Given the ratio 1.2 : 29, you want x in the equivalent ratio 4.8 : x.
SetupEquivalent ratios can be written as a proportion:
1.2/29 = 4.8/x
SolutionMultiplying by 29x, we have ...
1.2x = 29(4.8)
Dividing by 1.2 gives ...
x = 29(4.8/1.2) = 29(4) = 116
The ratio is the same as 4.8 to 116.
__
Additional comment
A proportion like this can be written 4 ways. The solution takes only one step if the unknown is in the numerator.
\(\dfrac{1.2}{29}=\dfrac{4.8}{x},\quad\dfrac{29}{1.2}=\dfrac{x}{4.8},\quad\dfrac{1.2}{4.8}=\dfrac{29}{x},\quad\dfrac{4.8}{1.2}=\dfrac{x}{29}\)
An example of a sixth-degree polynomial with a leading coefficient of seven and a constant term of four is
A:6x^7-x^5+2x+4
B:4+x+7x^6-3x^2
C:7x^4+6+x^2
D:5x+4x6+7
Option B: \(4+x+7x^6-3x^2\) represents a sixth-degree polynomial with a leading coefficient of seven and a constant term of four.
What is a polynomial function?In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1. A function that can be expressed as a polynomial is referred to as a polynomial function. A polynomial equation's definition can be used to derive the definition. A polynomial is typically denoted by P. (x). The degree of the variable in P(x) is its maximum power. The degree of a polynomial function is crucial because it reveals how the function P(x) will behave when x is very large. Whole real numbers make up a polynomial function's domain (R).
Option B: \(4+x+7x^6-3x^2\) represents a sixth-degree polynomial with a leading coefficient of seven and a constant term of four.
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What is the probability that either event will occur? 17 A 29 B 14 P(A or B)
The probability that either event A or B will occur is 43/60
Getting probability value :Using the parameters given
n(A) = 29
n(B) = 14
Total number of events = 29+17+14 = 60
The probability of each event :
P(A) = 29/60
P(B) = 14/60
P(A or B ) = P(A) + P(B)
P(A or B ) = 29/60 + 14/60
P(A or B ) = 43/60
Therefore, the probability of A or B is 43/60
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The conditional statement below is true. If possible, write the biconditional statement.
If 2x = 18, then x = 9.
The biconditional statement for the given conditional statement would be:
2x = 18 if and only if x = 9.
The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".
To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.
If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.
Based on this, we can write the biconditional statement:
2x = 18 if and only if x = 9.
The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.
In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.
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Simplify the variable expression by evaluating its numerical part, and enter
your answer below.
(48-17) - w
Answer here
SUBMIY
The simplified version of the expression would be 31-w
The numerical part of the expression given is :
48-17Simplifying using Subtraction operation:
48-17 = 31Adding the alphabetical part :
31 - wTherefore, the simplified form of the expression is 31-w.
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who is the best in the movie encanto
Answer:
My opinion Camilo Madrigal
Step-by-step explanation:
Because his gift is shapeshifting.
Answer: Isabela and dolores yes yes:)
assuming a frictionless maaless pulley determine the acceleration of the blocks once they are released from rest
Answer: Assuming a frictionless, massless pulley, the acceleration of the blocks once they are released from rest can be determined using the equation for acceleration:
a = F/m
where a is the acceleration, F is the force acting on the object, and m is the mass of the object.
In this case, the force acting on the blocks is the force of gravity, which is equal to the weight of the blocks. The weight of an object is equal to the mass of the object multiplied by the acceleration due to gravity, which is 9.8 m/s^2 on Earth. Therefore, the force acting on the blocks is equal to the mass of the blocks multiplied by 9.8 m/s^2.
The acceleration of the blocks will be equal to the force acting on them divided by the mass of the blocks. This means that the acceleration of the blocks will be equal to their weight divided by their mass.
Therefore, to determine the acceleration of the blocks once they are released from rest, you will need to know their mass and their weight. Once you have this information, you can use the equation a = F/m to calculate their acceleration.
You acquire a $15,000 unsubsidized loan at 6.8% interest. You will graduate 4 years later.
a) How much simple interest accumulated while you are still in school for an unsubsidized loan?
b) If you capitalized the loan, what will be the balance when you graduate?
c) After you graduate, you will begin making payments on your loan at 6.8% compounded monthly for 10 years. What is the monthly payment for this loan?
d) How much interest will be paid for this loan?
e) Explain what it means of the loan is not capitalized.
f. Now suppose you acquire the same loan of $15,000 at 6.8% compounded monthly for 10 years but it is subsidized. What is the monthly payment for this loan?
g) How much interest will you pay for the subsidized loan?
h) What is the difference in savings for the subsidized loan?
Answer:
a) For an unsubsidized loan of $15,000 at 6.8% interest for 4 years, the simple interest accumulated while you are still in school is **$4,080**.
b) If you capitalized the loan, the balance when you graduate would be **$20,322.68**.
c) After you graduate, you will begin making payments on your loan at 6.8% compounded monthly for 10 years. The monthly payment for this loan is **$174.30**.
d) The total amount of interest paid for this loan is **$10,118.00**.
e) If the loan is not capitalized, it means that the interest accrued during the in-school period is not added to the principal balance of the loan. Instead, it is paid off separately after graduation.
f) For a subsidized loan of $15,000 at 6.8% compounded monthly for 10 years, the monthly payment for this loan is **$163.19**.
g) The total amount of interest paid for this subsidized loan is **$9,782.80**.
h) The difference in savings for the subsidized loan is **$335.20**.
A jogger runs 5/2 miles on Monday, 13/4 miles on Tuesday and 12/5 miles on Wednesday. What is the joggers total mileage for this 3-day period?
Answer:
163/20 or 8.15 miles
Step-by-step explanation:
Evaluating Linear Piecewise Functions
Consider the function:
f(x) =
7/2+ 2x, x≤-1
-5+3x/2, -1
1/4x, x≥3
< -5_-4_-3_-2_-1_0_1_2_3_4_5 >
What are these values?
f(-3) =[-19/2]ᵒʳ[-5/2]ᵒʳ[-3/4]ᵒʳ[5/2]
f(-1) =[-13/2]ᵒʳ[-3/2]ᵒʳ[-1/4]ᵒʳ[-3/2]
f(3) =[-7/4]ᵒʳ[-1/2]ᵒʳ[3/4]ᵒʳ[19/2]
PLEASE HELP ME ON A SERIOUS TIME CRUNCH!!
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
for such more question on fewest number
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