Convert the decimal 0.07 to a fraction.
Answer:
7/100
Step-by-step explanation:
two decimal places so 100
A graph shows the survey results for a group of students who
were asked how many honors classes they have taken and
how many elective classes:
Class Choices
Number of Elective Classes
0
lo 1 2 3
4
5 6 7 8
9 10 11
Number of Honors Classes
How many elective classes would students likely have taken if
they have taken 12 honors classes? (4 points)
what is the y-intercept of the line that goes through (0, 0) (6, 3)
Answer:
QUESTION:
what is the y-intercept of the line that goes through (0, 0) (6, 3)
ANSWER:
Use the slope formula and the slope-intercept form to find the slope m and y-intercept b .
Slope: 1/2
y-intercept: (0,0)
Step-by-step explanation:
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Graph the line with slope -1/2 passing through the point (-1,-2)
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]m = -\frac{1}{2}[/tex]
[tex](x_1,y_1) = (-1,2)[/tex]
Required
Graph the line
First, is to determine the equation of the line using:
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
So:
[tex]-\frac{1}{2} = \frac{y - 2}{x - -1}[/tex]
[tex]-\frac{1}{2} = \frac{y - 2}{x +1}[/tex]
[tex]\frac{-1}{2} = \frac{y - 2}{x +1}[/tex]
Cross multiply:
[tex](y -2) * 2 = -1 * (x + 1)[/tex]
[tex](y -2) * 2 = -x -1[/tex]
Solve for y - 2
[tex]y -2 = -\frac{x}{2} -\frac{1}{2}[/tex]
Solve for y
[tex]y = -\frac{x}{2} -\frac{1}{2} + 2[/tex]
[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]
[tex]y = -\frac{x}{2} +\frac{3}{2}[/tex]
The above equation will then be plotted on the graph (See attachment)
Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. Begin with a lower class limit of 3.470 in., and use a class width of 0.010 in. The screws were labeled as having a length of 3 1/2 in
Answer:
Answer:
A) Total frequency = 30
B) Yes, the distribution is consistent with the label because the frequencies are greatest when the lengths are closest to the labeled size of 1/2 inches which is 0.5 inches.
Step-by-step explanation:
Since the class limit width is 0.010 from the question, we arrive at;
Class Limits Frequency
Length(Inches)
0.470 - 0.479 3
0.480 - 0. 489 5
0.490 - 0.499 9
0.500 - 0.509 12
0.510 - 0.519 1
Following is the frequency distribution table:
How to build a frequency table?The lower limit is given as 3.470 inches.
The upper limit is 3.500 inches.
And the width of each class is 0.010 inches.
Therefore, the intervals will be:
3.470-3.480
3.480-3.490
3.490-3.500
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Complete the sentences to compare the functions.
The range of f1(00) is
The domain of f(x) is
The minimum of f(x) is equal to the
On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?
Answer:
[tex](d)\ \beta = 2\ rad[/tex]
Step-by-step explanation:
Given
[tex]L =2[/tex] -- length of the arc
[tex]r = 1[/tex] --- radius of a unit circle
[tex]\beta =[/tex] the subtended angle
Required
Find [tex]\beta[/tex]
The length of an arc is:
[tex]L = r * \beta[/tex]
This gives:
[tex]2 = 1 * \beta[/tex]
[tex]2 = \beta[/tex]
Make [tex]\bets[/tex][tex]\beta[/tex] the subject
[tex]\beta = 2[/tex]
Hence:
[tex]\beta = 2\ rad[/tex]
Answer:
2rad
Step-by-step explanation:
A coffee shop sells their coffee beans by the pound. The table below shows the cost, in dollars, for a pound of two different types of coffee. How much more is the cost for 1 1/3 pounds of Jimmy jitters beans than the cost for 1 1/3 pounds of Harry's Himalayan Beans?
Answer:
1 1/3 x 1/3 =234/6
Step-by-step explanation:
your mama
Of segments CDF and CED, which of the segments has a greater area based on the given information? Justify with your work.(Do not use sin)
Circle A has radius 10m and m angle CAD=90 degrees
Circle B has radius 12m and m angle CBD=60degrees
Answer:
Segment CED has greater areaStep-by-step explanation:
Circle AArea of ΔCAD, right triangle:
A = 1/2*10*10 = 50 m²Area of the sector CAD:
A = 1/4*π*10² = 78.54 m²Area of segment CED:
A = 78.54 - 50 = 28.54 m²Circle BArea of ΔCBD, equilateral triangle:
A = √3/4*12² = 62.36 m²Area of sector CBD:
A = 1/6*π*12² = 75.40 m²Area of segment CFD:
A = 75.40 - 62.36 = 13.04 m²Compare the areas of the segments:
CED = 28.54 > CFD = 13.04Answer:
for 1 st
area of segment CAD=90/360×π×10²=78.54m²
for second
area of segmentBCD=60/360×π×12²=75.4m²
so
CAD has greater area
Solve each of these equations. Explain or show your reasoning.
2(x+5)=3x+1
3y−4=6−2y
3(n+2)=9(6−n)
find the value of x.
Answer:
5
Step-by-step explanation:
5y+155=180
5y=180-155=25
y=5
5y+13x=90
13x=90-25=65
x=5°
Find the surface area of the cylinder and round to the nearest tenth.
6.If Addison types at a constant rate of 2 pages per hour, how many hours will it take to
type a paper that is 5 pages long?Immersive Reader
(20 Points)
0.4 hour
2.5 hours
5 hours
10 hours
Answer:
2.5 hours
Step-by-step explanation
it takes 1/2 a hour to write one page so do
5 x 1/2 which is 2.5 since there are 5 pages
im not understanding this and its making me frustrated can u help me?
Answer:
B
Step-by-step explanation:
If the dot it open, it does not include the number. If the dot is shaded, it does include the number. Whichever way the orange line is pointing, corresponds to < or >.
What will be the coordinates of the point K' if the point K(-5,4) is translated 3 units down?
Answer:
(-5,1)
Step-by-step explanation:
Because if you graph the point and move it 3 units down then that is your awnser.
gallon of
2
17. Mr. Jackson owns a vegetable juice stand. At the end of the day, he has
juice left. He pours an equal amount of the remaining juice mixture into 6 glasses.
What amount of juice does Mr. Jackson pour into each glass?
1
A.
gallon
12
B.
1
3
gallon
C. 3 gallons
D. 12 gallons
Answer:
12 gallons
Step-by-step explanation:
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
c -1 and 2
Step-by-step explanation:
can i have BRAINLIEST?
A roller coaster car starts at the loading platform, rises 30.4 meters, and then takes a steep dive of 50.4 meters into a valley. Plot the value of the altitude of the car after taking the steep dive directly on the vertical number line. Assume the platform is at an altitude of O meters. Drawing Tools Click on a tool to begin drawing. Delete Undo Reset
Answer: the answer is 2.5 meters long
Step-by-step explanation:
Simplify 1/4^-2 x 1/4^-7
The product of 3m and 5r is 15mr True or False Explain...
Step-by-step explanation:
let's see....
3m × 5r = 15mr
15(m × r)
15mr.
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A) 120
B) 125
C) 50
D) 100
You notice that the client's bedroom is also proportional to a larger office that you have already completed. The diagram below shows the bedroom (left) and completed office (right). Use this diagram for Questions 3-6.
It cost $120 to buy the materials for crown molding in the completed office. (Crown molding is the decorative border where the walls meet the ceiling. It will go all the way around all four walls.) Using the same materials, how much will it cost to buy all of the crown molding for the bedroom? Round up to the nearest whole dollar.
Answer:
D. 75
Step-by-step explanation:
The cost to buy all of the crown molding for the bedroom would be $75.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that bedroom and office in the diagrams below are similar rectangles and the walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional.
Since it will cost $120 to buy the materials for crown molding in the completed office. Thus Crown molding is the decorative border where , the walls meet the ceiling. It will go all the way around all four walls.
Hence, cost to buy all of the crown molding for the bedroom = $75.
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Convert the fraction 6/10 to a decimal.
Answer:
0.60
Step-by-step explanation:
Answer:
.60
Step-by-step explanation:
56,316 divided by 6 need step by step instructions
Answer:
9,386
Step-by-step explanation:
56,316 ÷ 6 = 9,386
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-SGO
What does an individual's effective tax rate indicate?
A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year's tax rate
Answer:
d
Step-by-step explanation:
if the taxes raise each year
HELP PLZ!
The Fluffy Lump Cat Toy Company rents a warehouse facility. There
is a fixed cost of $1200 a month for rent and a variable cost of $5 per box of
toys that are stored. If the total cost for this month was $1315, how many boxes
of toys are being stored?
NO LINKS
Answer:
23 boxes of toys are being stored.
Step-by-step explanation:
There is a fixed cost of $1200 a month for rent and a variable cost of $5 per box of toys that are stored
This means that for x boxes of toys stored, the total cost is of:
[tex]C(x) = 1200 + 5x[/tex]
If the total cost for this month was $1315, how many boxes of toys are being stored?
This is [tex]x[/tex] for which [tex]C(x) = 1315[/tex]. So
[tex]C(x) = 1200 + 5x[/tex]
[tex]1315 = 1200 + 5x[/tex]
[tex]5x = 115[/tex]
[tex]x = \frac{115}{5}[/tex]
[tex]x = 23[/tex]
23 boxes of toys are being stored.
Solve -5x < -35. Enter your answer as an inequality.
Answer:
x > 7
Step-by-step explanation:
-5x < -35
(Divide by 5)
-x < -7
(When dividing by a negative number, you flip the sign)
x > 7
The answer of given inequality is x > 7 .
What is inequality?Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
Given,
-5x < -35
Divide by 5 in inequality
-x < -7
Multiply by (-1) in inequality [flip the sign of inequality]
So, x > 7
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A box contains 7 blue socks, 13 yellow socks and 5 green socks. What is the probability of choosing a green sock at random?
1/5
1/7
5/21
5/20
Answer:
1/5
Step-by-step explanation:
7 + 13 =20
20 + 5 = 25
5 is a fifth of 25
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
There are 25 socks in total, only 5 of these are green.
The proportion would look like this:
[tex]\frac{5}{25}=\frac{1}{5}[/tex]
What is the angle of X
Answer:
∡x°=35°
Step-by-step explanation:
x° and 35° are vertical angles, so they are congruent to each other. Therefore, the measure of angle x° is also 35°
A culture of bacteria has an initial population of 470 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?
Answer:
Step-by-step explanation:
The population of bacteria in the culture after 7 hours is approximately 883.
What is an exponential function?Several real-world phenomena, including population expansion, radioactive decay, compound interest, and the spread of diseases, are modeled using exponential functions. In calculus, where they are used to define the exponential and logarithmic functions—essential ideas in calculus and other fields of mathematics—they also play a significant role.
Using the formula [tex]P_t = P_0 \times 2^{\frac{t}{d}}[/tex], where P_t is the population after t hours, P₀ is the initial population, t is the time in hours and d is the doubling time, we can find the population of bacteria in the culture after 7 hours as follows:
Since the initial population is 470, we have P₀ = 470.
The doubling time is 8 hours, so we have d = 8.
Substituting these values into the formula, we get:
[tex]P_7 = 470 \times 2^{\frac{7}{8}}[/tex]
P₇≈ 882.77
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