Answer:
10d
Step-by-step explanation:
5d on 1 side, double it to get 10d cuz from Point O to Point D, y increases from 0 to 5d and since the triangles are congruent, we can add another 5d (or in total 10d).
What would be an appropriate domain if the function hin) gives the number
of man-hours it takes to assemble n engines in a factory in a day, subject to a
maximum of 300 engines?
Answer:
assuming that you are NOT allowed to build 1/2 of an engine or that you dont destroy any of them in the process of building them ...
"all positive integers less than or equal to 300"
Step-by-step explanation:
Find the missing length indicated
Answer:
60
Step-by-step explanation:
Use similar triangles or the ratios from the right triangle altitude theorem.
x/36 = (64 + 36)/x
x² = 3600
x = 60
A data set is made up of the values 2, 3, 7, 8, 9, and 13.
The table shows the distance between each value and the mean of 7.
Data value Distance between
value and mean
2 5
3 4
7 0
8 1
9 2
13 6
Sum of distances 18
What is the mean absolute deviation (MAD) of the data set?
help please
Answer:
3
Step-by-step explanation:
Given the data :
2, 3, 7, 8, 9, 13
2 5
3 4
7 0
8 1
9 2
13 6
The mean, = Σx / n ; n = sample size
Mean = 42 / 6 = 7
The mean absolute deviation = Σ|x - mean| / n
The mean absolute deviation is Hence,
(5 + 4 + 0 + 1 + 2 + 6) / 6
Mean absolute deviation = 18 / 6
Mean absolute deviation = 3
sold 72 books, if ratio of books to bookmarks sols was 9:2, how many bookmarks sold?
16 book marks has been sold
Answer:
16 bookmarks
Step-by-step explanation:
9/72 = 2/x
72/9 = 8
2 x 8 = 16
hope this helps
A capark has 34 rows and each row can acommodate 40 cars. If there are 976 cars parked, how many cars can still be parked?
Answer:
384 cars
Step-by-step explanation:
To find the total number of spaces in the carpark, we must multiply the number of rows by how many cars they can accommodate:
34 ⋅ 40 = 1360
As you can see, we have 1360 total spaces. Since there are 976 cars parked, and we want to find out how many spaces are left, we have to subtract the amount of cars parked from the total spaces.
1360 - 976 = 384
Therefore, our answer is 384, specifically, 384 cars.
Answer:
384 cars.
Step-by-step explanation:
40 * 34 - 976
= 1360 - 976
= 384.
I'm interval notation please
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Answer:
(-2, 4]
Step-by-step explanation:
-21 ≤ -6x +3 < 15 . . . . given
-24 ≤ -6x < 12 . . . . . . subtract 3
4 ≥ x > -2 . . . . . . . . . . divide by -6
In interval notation, the solution is (-2, 4].
__
Interval notation uses a square bracket to indicate the "or equal to" case--where the end point is included in the interval. A graph uses a solid dot for the same purpose. When the interval does not include the end point, a round bracket (parenthesis) or an open dot are used.
i need the answer to this help PLEASE
Answer:
B
Step-by-step explanation:
At 5 hours the distance traveled is 200 miles. 9 hours is less than double 5 hours so it is 360 miles.
How many ways are there to rearrange the letters of the word: COMBINATION?
Answer: 4,989,600 different ways
Step-by-step explanation:
Find the missing side round to the nearest tenth
======================================================
Work Shown:
sin(angle) = opposite/hypotenuse
sin(29) = x/24
24*sin(29) = x
x = 24*sin(29) ..... exact value
x = 11.635430885912 .... approximate value
x = 11.6
To get the approximate value, you'll need a calculator. Make sure the calculator is in degree mode.
If you are given odds of 6 to 7 in favor of winning a bet, what is the probability of winning the bet?
The probability is ___.
(Type an integer or a simplified fraction.)
Answer: 6/13
Step-by-step explanation: a/a+b = 6/6+7 = 6/13
If you are given odds of 6 to 7 in favor of winning a bet, the probability of winning the bet would be 6/13.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Given; If you are given odds of 6 to 7 in favor of winning a bet, we need to find the probability of winning the bet.
P = a/a+b
P = 6/6+7
P = 6/13
Therefore, If you are given odds of 6 to 7 in favor of winning a bet, the probability of winning the bet would be 6/13.
Learn more about probability here;
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Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
please answer quick i need to go to my friends to get my joy con fixed
The area is just the base times the height. In this case, the base is (x+4) and the height is (x+6), and then you just distribute to get x^2 +4x+6x+24 which is x^2+10x+24.
Luis was worried about his Spanish final exam grade. The test had 200 questions, and he got
175 of them correct. His sister Marina took her French final exam, and she got 130 out of 150
questions. Who got the better percent score (round to the nearest tenths)?
Answer:
Luis:
[tex] \frac{175}{200} \times 100\% = 87.5\%[/tex]
Marina:
[tex] \frac{130}{150} \times 100\% = 86.6\%[/tex]
Answer: Marina got the better percent score than Luis
Marina:
CAN SOMEONE HELP ME PLEASE CAN YOU FIGURE OUT WHERE I PUT 4 PI ON THE NUMBER LINE
Answer:
see below
Step-by-step explanation:
Pi is approximately 3.14
4*3.14 =12.56
So about halfway between 12 and 13
Q:
To which axis is the line passing through A(4,3) and B(4,-2) parallel to?
Answer:
y-axis.
Step-by-step explanation:
The x coordinate of both points is 4, so it is parallel to they-axis.
What is the shortest distance Jill can travel is she leaves her house, goes to City Hall, to the Post Office, and then returns home?
A. 9 miles
B. 16 miles
C. 38 miles
D. 48 miles
Can you post an image of the map?
Answer:
i believe that the answer is 38 please trust me
determine if it is a function, find the domain and the range.
{(9,−3),(4,−2),(1,−1), (0,0),(1,1),(4,2),(9,3)}
Answer:
it is not function
Step-by-step explanation:
because,
first of all,what do mean function
A function is a relation in which each element of the domain corresponds to exactly one
element of the range.
based on this description
Since the domain element 1 is assigned to two different values in the range, -1 and 1, so that it is
not a function
Please Help!
Use the function f(x) to answer the questions
f(x) = 5x^2 + 2x - 3
Part A: What are the x-intercepts of the graph of f(x)? Show your work (5 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show
your work (5 points)
Part 2: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph (5 points)
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Answer:
A: -1, 3/5
B: (-1/5, -3 1/5)
2: plot the given points and draw a curve through them.
Step-by-step explanation:
Part AThe x-intercepts are most easily found from a graph of the function. I like the Desmos graphing calculator for this purpose. The x-intercepts are -1 and 3/5.
You can also find the x-intercepts by factoring the function.
f(x) = 5x^2 +5x -3x -3 = 5x(x +1) -3(x +1) = (5x -3)(x +1)
The x-intercepts are the values of x that make the factors zero:
5x -3 = 0 ⇒ x = 3/5
x +1 = 0 ⇒ x = -1
__
Part BThe vertex is on the axis of symmetry, which is the vertical line at the value of x halfway between the zeros. (-1 +3/5)/2 = (-2/5)/2 = -1/5
The value of f(x) there is ...
f(-1/5) = (5(-1/5) +2)(-1/5) -3 = (-1 +2)(-1/5) -3 = -1/5 -3 = -3 1/5
The vertex is (-1/5, -3 1/5).
__
Part 2The easiest step to take to graph the function is to type it into a graphing calculator (see attached).
If you're graphing this by hand, the three points given in parts A and B will be on the graph. The leading coefficient in the function is 3, so the x^2 parent function is vertically stretched by a factor of 3. This can make it a little more difficult to find points that lie on the graph.
Recognizing that the vertex form equation is ...
f(x) = 3(x +1/5) -3 1/5
I might choose x-values that are -1/5 ± 1/2 to get y-values that are -3 1/5 + 3/4. And, x = -1/5 ± 1 ⇒ y = -3 1/5 +3.
How does the area below the mean compare to the area above the mean in a normal distribution?
A. the areas are always equal regardless of the mean
B. the areas are sometimes equal depending upon the standard deviation of the distribution
C. the area above the mean is larger since the values are larger as you move above the mean
D. the areas are sometimes equal depending upon the value of the mean
Answer:
A.
Step-by-step explanation:
that is the definition of "mean". it cuts the possible outcomes weighed with their probabilities (actual occurrences vs. possible occurrences) in 2 halves.
The areas are always equal regardless of the mean.
option (a) is correct.
What is normal distribution?A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
The standard normal distribution is a probability distribution, so the area under the curve between two points tells you the probability of variables taking on a range of values. The total area under the curve is 1 or 100%.
Therefore ,the areas are always equal regardless of the mean.
Learn more details about normal distribution:
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The number of perpendicular bisectors a segment can have is:
1 point
a) 0
b) 1
c) 3
d) 10
Answer:
0
Step-by-step explanation:
0co
Which number line shows the solution for n + 3 < 12?
Answer:
None of them
Step-by-step explanation:
n+3<12
(Subtract 3 from both sides)
n<9
(n is less than 9, so n is everything left of 9)
(the inequality symbols: > and < are an open dot)
(none of the choices display n<9 with an open dot, so none of the options are correct)
(if you meant < with a line underneath it, then the dot would be filled, and the answer would be D)
Let a submarine be at a constant depth of 5 km. It is headed in the direction of a lighthouse. If the distance between the submarine and the base of the lighthouse is decreasing at a rate of 24 km/h when the sub is 13 km away from the base, then what is the speed of the submarine
Answer:
24 km/h
Step-by-step explanation:
Given:
Constant speed of submarine = 24 km/h
Depth under sea = 5 km
Distance of submarine from lighthouse = 13 km
Find:
Speed of the submarine
Computation:
At steady speed, the distance between both the submarine and the lighthouse base decreases at a rate of 24 km/hr.
So, when it is 13 kilometres from its starting point, the speed remains constant at 24 kilometres per hour.
Use the compound interest formula to find the annual interest rate, r, if in 2 years an investment of 4,000 grows to 4410 The rate is %.
Answer:
5%
Step-by-step explanation:
Bank amount=PA*(1+r/100)^t
4410=4000*(1+x/100)^2
1.05=(1+x/100), x=5%
At a hockey game, a vender sold a combined total of 192 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold.
Answer:
they sold 64hotdogs and 128 sodas
Step-by-step explanation:
2x+x=192 3x=192 x=64
A poll of 400 people from Dobbs Ferry showed 250 preferred chocolate raspberry coffee while 170 out of 350 in Irvington preferred the same flavor. To test the hypothesis that there is no difference in preferences in the two villages, what is the alternate hypothesis
Answer: The alternate hypothesis would disprove the null hypothesis and state that there are a significant difference in preferences/proportions between the two villages.
For instance, let's say:
p₁ = proportion of preference from Dobbs Ferryp₂ = proportion of preference from IrvingtonThe null hypothesis would be that p₁ = p₂, while the alternative hypothesis would be that p₁ ≠ p₂.
Please show work. The way that you solve for surface area and vol confuse me.
Answer:
search up the formula
Step-by-step explanation:
An Arabian camel can travel 20 miles in 8 hours, carrying a 300-pound load on its back. At this rate, how far can the camel travel in 10 hours?
Answer:
25 miles
Step-by-step explanation:
Given that:
Cammel can travel 20 miles in 8 hours;
The traveling rate or speed = distance / time
Rate = 20 miles / 8 hours = 2.5 miles per hour
The distance traveled in 10 hours at this rate will be :
Distance = speed or rate * time
Distance = 2.5 mph * 10 hours
Distance traveled = 25 miles
Please helppppp!!!!!!!
Answer:
[tex](x-2)^2+(y+2)^2=9[/tex]
Step-by-step explanation:
The general equation for a circle is the following:
[tex](x-a)^2+(y-b)^2=c[/tex]
Where (a, b) is the center of the circle and ([tex]\sqrt{c}[/tex]) is the radius of the circle. In order to shift the function to the right, one has to add to the (a) value; to move it to the left one has to subtract from it. Similarly, to move the function up, one has to add to the (b) value, to move it down, one has to subtract from it. Apply this to the given function:
[tex](x+1)^2+(y-2)^2=9[/tex]
The center of this circle is (-1, 2). The circle is shifted to the right by (3) units, and down by (4). Thus the center is also shifted by these values:
(-1, 2)
Right by (3): (-1 + 3) = 2
Down by (4): (2 - 4) = -2
Substitute back into the function:
[tex](x-(2))^2+(y-(-2))^2=9\\\\(x-2)^2+(y+2)^2=9[/tex]
4. Jack started packing the box shown with 1-centimeter cubes.
- cubic centimeter
Select all the true statements below.
A. Jack needs to add 2 more layers to fill the box.
B. Jack packed 16 cubes into the bottom of the box.
The box is 8 centimeters long.
The box is 3 centimeters high.
E.) The volume of the box is 32 cubic centimeters.
F. The volume of the box is 16 centimeters.
Answer:
if I am not mistakedn the answe id e
Write the equation of the line in fully simplified slope-intercept form.
The polygons in each pair are similar. Find the missing side length.
Let missing side be x
If both polygons are similar
[tex]\\ \sf\longmapsto \dfrac{3}{4}=\dfrac{18}{x}[/tex]
[tex]\\ \sf\longmapsto 3x=4(18)[/tex]
[tex]\\ \sf\longmapsto 3x=72[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{72}{3}[/tex]
[tex]\\ \sf\longmapsto x=24[/tex]