Answer:
2 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
2 + [tex]\frac{3}{4}[/tex]
= 2 [tex]\frac{3}{4}[/tex] ← as a mixed number
The price for a taxi cab in a small city is $4.00 per mile, x, while traveling, and $0.50 every minute, y, while waiting. If you have $40 to spend on a cab ride, the inequality 4,00x+0.50y<=40 represents your situation. Graph this inequality in the first quadrant only.
Use the graphing tool to graph the inequality
The graph of the linear inequality 4x + 0.5y ≤ 40 is given by the image at the end of the answer.
How to graph the linear inequality?The first step in graphing the linear inequality is identifying the domain of the situation.
Only numbers in the first quadrant are plotted, hence the first two constrains for the domain are given as follows:
x > 0.y > 0.The inequality is a linear inequality, hence the next step is identify the intercepts and then trace a line connecting them.
The x-intercept is the value of when y = 0, hence:
4x = 40
x = 40/4
x = 10.
Hence it is represented by point (10,0).
The y-intercept is the value of y when x = 0, hence:
0.5y = 40
2 x 0.5y = 2 x 40
y = 80.
Hence it is represented by point (0,80).
The values less than the inequality are plotted, hence the graph is composed by the points on the first quadrant and below the line 4x + 0.5y = 40, as shown by the image at the end of the answer.
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what is the 5th letter of the alphabet
The 5th letter of the alphabet is E.
What is an alphabet?An alphabet is a standardized collection of basic written symbols or graphemes that represent the phonemes of different spoken languages.
The letter a begins the English alphabet and ends with the letter z. The alphabet is always written in the same order: a-b-c-d-e-f-g-h-i-j-k-l-m-n-o-p-q-r-s-t-u-v-w-x-y-z. A-B-C-D-E-F-G-H-I-J-K-L-M-N-O-P-Q-R-S-T-U-V-W-X-Y-Z. This is known as "alphabetical order."
The set of 26 symbols represents sounds used in speech and writing. Each character in a syllabary, for example, represents a syllable, whereas characters in logographic systems represent words, morphemes, or other semantic units. In this case, E is the 5th letter.
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To rent a certain meeting room, a college charges a reservation fee of $49 and an additional fee of $5.80 per hour. The math club wants to spend less than $72.20 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for .
The possible amount of time for which they could rent the meeting room is 1, 2, and 3 hours.
In the question,
It is given that,
Reservation fee is $49.
Additional fee is $5.80 per hour.
The math club can spend maximum of $72.20.
The inequality will be:
49 + 5.8*t < 72.20
5.8*t < 23.2
t < 4
Hence, the possible amount of time for which they could rent the meeting room is 1, 2, and 3 hrs.
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find the value of 3sin x-2cos y
Answer:
D is the answer I thinnk
Step-by-step explanation:
The perimeter of a rectangle is 84 feet. The ratio of the width to the length is
2:5. Find the length and the width.
The width of the rectangle is 12 feet and the length is 30 feet.
What is perimeter?The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.
Given that, The perimeter of a rectangle is 84 feet. The ratio of the width to the length is 2:5.
Let the width be 2x and length be 5x,
Perimeter = 2(l+w)
2(2x+5x) = 84
2x+5x = 84/2
2x+5x = 42
7x = 42
x = 42/7
x = 6
Therefore, width = 6x2 = 12
Length = 5x6 = 30
Hence, The width of the rectangle is 12 feet and the length is 30 feet.
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If x =-5, what is the value of 2x^+6x
2x^2+6x
2(-5)^2+6(-5)
2(25)+6(-5)
50+6(-5)
50+(-30)
50-30
20
a high school statistics class wants to estimate the average number of chocolate chips in a generic brand of chocolate chip cookies. they collect a random sample of cookies, count the chips in each cookie, and calculate a 95% confidence interval for the average number of chips per cookie (18.6 to 21.3). which interpretation of the 95% confidence interval is valid?
Answer:
Step-by-step explanation:
If Clare labels books at 15 books per minute and she takes no breaks, then it would take her minutes to finish labeling all the books.
The time taken to label 750 books if Clare labels books at 15 books per minute is 50 minutes.
How to calculate the time used?In this situation, Clare volunteers at a library during the summer and has to label 750 books and she labels books at 15 books per minute and she takes no breaks.
Let the time taken to label the 750 books be represented by x.
This will be illustrated as:
1/x = 15/750
Cross multiply
(15 × x) = (750 × 1)
15x = 750
Divide
x = 750 / 15
x = 50
The time is 50 minutes.
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Complete question
Clare volunteers at a library during the summer and has to label 750 books. Clare labels books at 15 books per minute and she takes no breaks, then it would take her minutes to finish labeling all the books.
Let d represent:
I do not drink bottled water.
Lett represent:
I eat pizza.
What is the symbolic representation of the following statement?
I do not eat pizza or I do not drink bottled water
I eat pizza or drink bottled water, for example, is a symbolic representation of the following statement.
What is meant by symbolic representation?Traditionally, symbolic representation is defined as the representation of a principal, such as a nation, through a symbol, such as a flag, that evokes specific meanings and emotions about the nation. The use of physical or psychological processes to represent an object (either another object or an idea) in a symbolic form is referred to as symbolic representation (Carlson, Sroufe, & Egeland, 2004). A written character or mark that is used to represent something; a letter, figure, or sign that is traditionally used to represent some object, process, etc. (Oxford English Dictionary). Figures denoting the planets, signs of the zodiac, and so on are examples of something visible that represents something else that is invisible by association or convention. Synonyms include symbol, symbolization, and symbolization.To learn more about symbolic representation, refer to:
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if 15% of adults in a certain country work from home, what is the probability that fewer than 60 out of a random sample of 500 adults will work from home?
The probability that fewer than 60 adults will work from home will be 2%.
we have to use the Normal probability distribution to find the probability
In a normal distribution with mean μ, SD σ, z-score Z of a measure X is given by
Z = (X-μ)/ σ
here,
15% adults work from home , So p= 0.15
n = 500
∴ μ = np = 500(0.15) = 75
σ = [tex]\sqrt{np(1-p)}[/tex]
σ = 7.98
Now we have selected adults(60) less than n (500)
So using the continuity correction , the probability is P(X< 60 - 0.5)
= P( X< 59.5)
which is the p-value of Z when X = 59.5
∴ Z = (X-μ)/ σ
Z = (59.5 - 75)/7.98
Z = - 1.98
so the p-value is 0.02
0.02 = 2% probability that fewer than 60 adults will work from home.
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Find the range of values which satisfy the following:
8x-11>5 and 15(6x+2)>-150
x>
Answer: ______
The range of values that satisfy the given inequalities, 8x - 11 > 5 and 15(6x+2) > -150, is x > -2 OR x > 2
Solving Linear Inequalities: Determining range of valuesFrom the question, we are to determine the range of values which satisfy the given inequalities.
The given inequalities are
8x - 11 > 5 and 15(6x+2) > -150
To determine the range of values that satisfy the inequalities, we will solve each of the inequalities separately
Solving 8x - 11 > 5
Add 11 to both sides
8x - 11 + 11 > 5 + 11
8x > 16
Divide both sides by 8
8x/8 > 16/8
x > 2
Solving 15(6x+2) > -150
Divide both sides by 15
15(6x+2)/15 > -150/15
6x + 2 > -10
Subtract 2 from both sides
6x + 2 - 2 > -10 - 2
6x > -12
Divide both sides by 6
6x/6 > -12/6
x > -2
Putting the two solutions together,
x > -2 OR x > 2
Hence, the solution is x > -2 OR x > 2
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On September 1st there are 5 bacteria in a jar. The population of bacteria doubles each day. How
much bacteria will be there at the end of the month
If its a 28 day month then 671088640
29 days 1342177280
30 days 2684354560
and 31 days 5368709120
The pair of points (−6, y) and (4, 8) lie on a line with a slope of 5/2. Set up and solve for the missing y-value using the slope formula. Show all work to receive credit.
Given the slope of the line and the pair of points, the missing y - value can be found to be - 17
How to find the missing y - value?The slope formula is:
y = Slope(x) + y - intercept
Using the point (4, 8), the y - intercept can be found by the formula:
8 = 5/2 (4) + y - intercept
y - intercept = 8 - 10
y - intercept = -2
The missing y value is therefore:
y = Slope(x) + y - intercept
= -6 (5/2) - 2
= -15 - 2
= - 17
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Level J > N.1 Convert rates and measurements: customary units W5N convert 31 yards=_____ inches
Answer:
Example 1 : Convert 2 feet into inches. Solution : Here, we convert bigger unit into smaller unit. So we have to multiply. 2 feet = 2 x 12 inches = 24 inches Example 2 : Convert 3.5 yards into inches. Solution : Here, we convert bigger unit into smaller unit…
all in image, please help asap
The angle that is same side exterior angle to ∠ABC is ∠EFH.
How to find angles?When parallel line are cut by a transversal line, angle relationships are formed such as corresponding angles, vertically opposite angles, alternate angles, same interior angles, etc.
AD and EG are parallel to each other.
CH is a transversal line to the parallel lines.
Therefore, let's find the angle that has the same relationship as same side exterior angles as angle ABC.
Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles.
Same side exterior angles are supplementary.
Therefore,
∠ABC and ∠EFH are same side exterior angles.
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Suppose loga(2) = b and loga(3) = c. Compute loga(108/a^3)
In accordance with algebra properties and relationship between logarithms and powers, the logarithm ㏒ₐ (108 / a³) is equal to the pseudolinear expression 2 · b + 3 · c - 3.
How to solve a logarithmic expression
In this problem we must determine the base of a given set of logarithms by using algebra properties and relationships between powers and logarithms. Now we proceed to solve:
Step 1 - We get the following equations:
㏒ₐ 2 = b, ㏒ₐ 3 = c
Step 2 - Now we add the other logarithm:
㏒ₐ (108 / a³)
Step 3 - By logarithm properties:
㏒ₐ 108 - ㏒ₐ a³
㏒ₐ (2² · 3³) - 3 · ㏒ₐ a
㏒ₐ 2² + ㏒ₐ 3³ - 3 · 1
2 · ㏒ₐ 2 + 3 · ㏒ₐ 3 - 3
Step 4 - By Step 1:
2 · b + 3 · c - 3
The logarithm ㏒ₐ (108 / a³) is equivalent to 2 · b + 3 · c - 3.
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If f(x) = x, when g(x) = f(x) - 10 is graphed on the same coordinate grid, which statement describes the relationship of the graphs of f and g?
The graph g(x) is graph of f(x) translated down 10 units.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is plotted as a series of markers, or dots, and is then connected to one another by a straight line.
Usually, data that changes over time is represented by a line graph.
Given:
f(x) = x, when g(x) = f(x) - 10
As, from the graph we can see that both function f(x) and g(x) shows a parallel relation.
Also, the function f(x) is subtracted from 10 then the function is translated down by 10 units.
Hence, g(x) is graph of f(x) translated down 10 units.
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Identify the y intercept of this line b
Answer: b= (0,4)
Step-by-step explanation:
The 'b' value in a line is the y-int. of a linear equation. That means you need to determine where the linear equation intersects with the y-axis. In this scenario it intersects at the point (0,4)
34°
56°
124°
146°
Some help would be nice
Answer:
146 degrees
Step-by-step explanation:
Sum of all triangle angles equal 180 degrees
We know 2
56 and 90 so we add them
90+56=146
Now we subtract to 180 to find the third angle of the triangle
180-146=34
To find x we gotta subtract 34 from 180 since it’s on a flat plane
180-34=146
angle x=146 degrees
hopes this helps please mark brainliest
Choose the correct word(s) to complete the snetence below. A group of related facts that use the same numbers is called a(n)
Answer: The answer is Fact Family
Step-by-step explanation:
IM BEGGING FOR HELP !!! find the volume of each shape and then compare do not reduce your fractions.
Answer:
64/125 > 150/512
Step-by-step explanation:
4/5 *4/5 *4/5 = 64/125 (also equals 0.512)
5/8 * 6/8 * 5/8 = 150/512 (also equals 0.293)
Therefore: 0.512 > 0.293
about 2% of the population has a particular genetic mutation. 300 people are randomly selected. find the standard deviation for the number of people with the genetic mutation in such groups of 300.
0.0147 is the standard deviation for the number of people .
How to interpret a standard deviation?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high. The standard deviation calculates how much the data vary from the mean value. It is helpful for contrasting data sets that might have the same mean but a different range.standard deviation = sqrt(p*(1-p)/n)
= sqrt(0.07 * 0.93/300)
= 0.0147
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Find the ratio of men to women in a bowling league containing 12 men and 8 women. Write in lowest terms
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Divide the top and bottom on the fraction by 4
Slope:
Y-intercept
Equation:
y-intercept: (0,60)
This is given in the table.
Slope: [tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Using (1,50) and (2,40):
[tex]m = \dfrac{40 - 50}{2-1} = \dfrac{-10}{1} = -10[/tex]
The slope is -10.
Using the slope-intercept form (y=mx+b) and the fact that we found m=-10 and b=60 from the table, the equation is:
y = -10x + 60
Hello I’m doing my math homework I just need the answers for 23 and that’s just it . ABCDEF all right thank you please get me ASAP,
Answer:
A. -9, -6, 8, 13
B. -4/5, -1/2, -.2, .25
C. -8/3, -2 1/2, 9/2, 4.75
D. -8, -3, -1, 4
E. -1/2, -1/4, .5, 3/4
F. -3/2, -5/4, -4/5, 1.5
Step-by-step explanation:
The easiest thing to do is to put them all in the same format. Fractions are just division problems, so just divide. 4/5 is 4 divided by 5, which is .8.
Remember, the farther a negative number is from 0 on the number line, the smaller it is. So, -8 is smaller than -5. -5 is smaller than -2, etc.
A ditch used to drain storm water has the shape of a trapezoid with the wider base being 24 feet and the height being 6 feet. The shorter base has an unknown length of x-feet. Set up and solve an equation to find the value of x if the drainage ditch as an area of 96 square feet.
The value of the shorter base which is x is 8 feet.
What is a trapezium?A trapezium is a quadrilateral with exactly one pair of opposite sides parallel to each other. The trapezium is a two-dimensional shape that appears as a table when drawn on a sheet of paper.
It has four sides and four vertices.
The trapezium is made of a rectangle and triangles.
Area of a trapezium = 1/2 (a + b ) h
where a = small base, b = big base and h = height.
from the above, b = 24 feet, h = 6 feet, a = x and area = 96 square feet
substituting the above into the equation
1/2 ( 24 + x) x 6 = 96
6(24 + x) = 96 x 2
6(24 + x ) = 192
multiplying the terms by 6
144 + 6x = 192
6x = 192 - 144
6x = 48
x = 48/6
x = 8 feet
In conclusion, the value of x is 8 feet
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A train traveled at the same speed for 9 hours. It went 320.55 miles in all. To the nearest hundredth of a mile per hour, how fast was the train going?
The train's speed was= 56.7 miles per hour
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
Entire distance = 210 miles + 130 miles = 340 milesTotal time = 3.5 hours and 2.5 hours = 6 hoursAverage speed = distance/ time = 340 miles/ 6 hours= 56.66666666666 miles per hourRounding to the nearest tenth= 56.7 miles per hourHence, The train's speed was= 56.7 miles per hour
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Can anyone state the vertex of the graph?
There is no vertex in the graph and the transformations from are
Vertical shift down 2Horizontal shift left 4How to determine the vertex of the graph?By definition, a graph that has a vertex would have an obvious maximum or minimum point on it
In this case, there is no point that can be regarded as the minimum or the maximum in this graph
This means that the graph has no maximum or minimum; in other words, there is no vertex
The transformation from the parent functionThe parent function of the above graph is a cubic function
A cubic function passes through the origin
However in this graph, we can see that the graph is 4 units to the left of the origin and 2 units below the origin
This means that the transformation is (x - 4, y - 2)
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Find the value of (2.4) · (1.3). Show your reasoning.
The evaluation of the expression (2.4) · (1.3) gives 3.12
How to evaluate the expression?From the question, we have the following expression that can be used in our computation:
(2.4) · (1.3)
Express as products
This gives
(2.4) * (1.3)
Remove the brackets
So, we have the following representation
2.4 * 1.3
Evaluate the product
3.12
Hence, the solution is 3.12
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the team is going to a race and can only enter 5 participants. what is the probability of randomly selecting a race squad of 5 participants with exactly 3 women? round your answer to three decimal places. enter your solution into variable
The probability that the squad will have exactly three women members is 0.389
Total number of people in CU Boulder triathlon = 21
Number of Men = 9
Number of Women = 12
We are told that a 5-member squad is selected and now we want to find the probability that the squad will have exactly 3 women members.
Thus;
P(exactly 3 womens) = (12C3 * 9C2)/(21C5)
P(exactly 3 womens) =7920/1716
P(exactly 3 womens) = 0.389
Hence, the probability that the squad will have exactly three women members is 0.389
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