Answer:
C. 2.25
Step-by-step explanation:
The following information is missing: J is at (-3, 4). K is at (4,-2).
The x value for point L such that JL and KL form a 3:1 ratio is obtained as follows:
m/(m+n)*run + xJwhere ratio m:n givesfraction m/(m+n), run is the distance over x-axis between J and K, and xJ is the x-coordinate of J.
ratio 3:1 means: m/(m+n) = 3/(3+1) = 3/4run = 4 - (-3) = 7xJ = -3Replacing into the equation:
m/(m+n)*run + xJ = 3/4*7 + (-3) = 2.25
Answer:
2.25
Step-by-step explanation:
took the test
Find the missing side length and angles of △ABC given that m∠A=56∘, b=9, and c=11. In triangle A B C, side A B is 11 units long, side A C is 9 units long, and side B C is labeled a. Angle A measures 56 degrees.
Answer:
1) Side a = 9.55
2) Angle B = 51.36°
3) Angle C = 72.67°
Step-by-step explanation:
We would be solving the above questions using Law of Cosines
1) To find Side a using Law of cosines
a² = b² + c² - 2bc × Cos A
a = √(b² + c² - 2bc × Cos A)
a = unknown
b = 9
c = 11
Angle A = 56°
a = √(9² + 11² - 2 × 9 × 11 × Cos 56°
a = 9.55405
Approximately a = 9.55
2) To find Angle B
We would use the Law of Cosines as well
b² = a² + c² - 2ac × Cos B
Cos B = a² + c² - b²/2ac
B = arc cos ( a² + c² - b²/2ac)
a = 9.55
c = 11
b = 9
B = arc cos (9.55² + 11² - 9²/2 × 9.55× 11)
B = 51.36°
3) To find Angle C
We would use the Law of Cosines as well
c² = a² + b² - 2ac × Cos C
Cos C = a² + b² - c²/2ab
C= arc cos ( a² + b² - c²/2ab)
a = 9.55
b = 9
c = 11
C = arc cos (9.55² + 9² - 11²/2 × 9.55× 9)
C= 72.67°
Pleaseee help meeeeeee!
Answer:
Irrational
Step-by-step explanation:
Irrational numbers have decimal expansions that neither terminate not repeatable
π = 3.1428.........
-4π =-12.5714..........
Answer:
D. Irrational
Step-by-step explanation:
First, let's calculate what -4π is.
-4π= -4*π= -12.5663706143....
Now, let's analyze the answer choices.
Whole numbers are the numbers 1,2,3,4,5...
Integers are like whole numbers, but negatives are also included.
Rational numbers are numbers that can be written as fractions, or have repeating/terminating decimals.
Irrational numbers cannot be written as fractions, do not repeat and do not terminate.
-12.5663706143... doesn't repeat or terminate, therefore it must be irrational.
For the fraction 3/25, (a) write a percent and (b) write a decimal.
Answer:
Step-by-step explanation:
3/25 = 12%
3/25=0.12
Answer:
12%
.12
Step-by-step explanation:
3/25 * 4/4 = 12/100
Percent means out of 100
12%
12/100
Since it is out of 100, we can move the decimal 2 places to the left
.12
Please help asp. It’s math
Answer:
The roses cost Brad 9 dollars.
Step-by-step explanation:
We know that Brad bought 3 more daisies than roses. These daisies would've cost Brad 3 dollars.
15.00 - 3.00 = 12.00
Brad now has 12 dollars leftover. Now, we know that there is an equal amount of daisies and roses in addition to the 3 extra daisies. The cost of 1 daisy and 1 rose would be 4 dollars.
12.00/4.00 = 3
This means that he bought 3 of each kind of flower, and 3 extra daisies. To find out how much the 3 roses he bought cost, we lastly multiply 3 x 3.
3 x 3 = 9.
The roses cost Brad 9 dollars.
Hope this helps!
Answer:
the roses cost $20
33-3=30
10(roses)=$20
30-20=10
which is 10 roses and 10 daisies, when you ad the three daises back in it will give you 13 daisies.
PLZ HELP!! HURRY!!!30POINTS!!
Answer & Step-by-step explanation:
Please help ASAP
These dogs show hourly earnings for a sample of workers in two different careers
It can be understood from below that Option A for Spread and Option D for Center is the correct answer.
What is Center and Spread ?Center describes a typical value of a data point. Two measures of center are mean and median.
Spread describes the variation of the data. Two measures of spread are range and standard deviation.
In the graph we can see that the hourly earnings are more spread out in Career B and
Career B has greater median hourly earnings than Career A.
Therefore Option A for Spread and Option D for Center is the correct answer.
To know more about Center and Spread
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Answer:
A and D
Step-by-step explanation:
Point B lies on segment AC . Find the length of the segment BC , if: AB = 4 mm, AC = 4 cm.
Answer:
The length of the segment BC is 3.6
Step-by-step explanation:
First you need to change 4 mm to .4 cm because mm and cm are not the same. So the total is 4 cm. but you only need to find BC. So in order to get BC, you do 4 - .04 which gives you 3.6. So the length of the segment BC is 3.6. There is a model if the explanation is not as clear.
Billy has three times as many llamas as lambs.
Milly has twice as many lambs as llamas.
They have 17 animals in total.
How many of the animals are llamas?
Answer:
There are 9 llamas.
Step-by-step explanation:
For Billy, we have to find a number that is divisible by four, because he has one group of lambs, and 3 times as many llamas, which gives us 4 groups altogether. The number must be below 10 in order to not go above 17 when Milly's number of animals are included, but above 4 itself in order to reach the target of 17 in the first place.
As you can guess, the only number that fits all the criteria is 8. It's divisible by 4 and below 10, but above 4 itself.
If Billy has three times as many llamas as lambs, then he must have 2 lambs, and 6 llamas, as 2 × 3 = 6.
If we know that Billy has 8 animals, then we also know that Milly must have 9 animals, as 17 - 8 = 9.
We also know that Milly has 3 groups of animals; one group of llamas, and two groups of lambs, meaning we divide the number of animals she has by 3.
9 ÷ 3 = 3.
This tells us Milly has just 3 llamas, because 3 is one group of 9, and 3 × 2 = 6, because she has twice the amount of lambs.
Billy has 2 lambs and 6 llamas.
Milly has 6 lambs and 3 llamas.
The amount of lambs is irrelevant to our final answer, so we can disregard them and do a final sum of 6 + 3 = 9, which gives us our answer.
Answer:
Billy: Has 4 lots of animals
Milly: Has 3 lots of animals
17 animals in total means that Billy must have 4 lots of 2 (8 animals) and Milly must have 3 lots of 3 (9 animals) So Billy has 6 llamas and Milly has 3, giving 9 llamas in total
In terms of the domain and the range of a function, how do inverse functions work?
Pro
Which ordered pair is a solution of the equation?
Pro
y = 8x+3
Tea
Choose 1 answer:
Answer:
C. Both (1, 11) and (-1, -5)
Step-by-step explanation:
The missing options are:
A. Only (1, 11)
B. Only (-1, -5)
C. Both (1, 11) and (-1, -5)
D. Neither
To check if an ordered pair is a solution of an equation, replace one variable into the equation an calculate the other one.
Replacing x = 1, we get:
y = 8(1) + 3
y = 11
then (1, 11) is a solution
Replacing x = -1, we get:
y = 8(-1) + 3
y = -5
then (-1, -5) is a solution
Prior to the given equation, there are two resulting solutions; (1, 11) and (-1, -5).
Lets go over the solutions.
Let's start with (1, 11). After substituting x = 1 and y = 11, it results in the equation 11 = 11, which is a true statement. Hence, this is one solution.
Now, let's look at (-1 -5). After substituting x = -1 and y = -5, it results in the equation -5 = -5, which is also a true statement. So, this being said, (-1, -5) would also be a solution.
Hence, our two solutions are:
Both [tex](1, 11)[/tex] and [tex](-1, -5)[/tex].
Hope this helps!
Which function is the result of vertically shrinking ƒ(x) = x2 by a factor of 1∕3 and translating it to the right 7 units?
Question 3 options:
A)
Y = x2 - 7
B)
Y = 1∕3 (x -7)2
C)
Y = 1∕3 (x +7)2
D)
Y = x2 + 7
Answer:
B) Y = 1/3 (x-7)^2
Step-by-step explanation:
To vertically shrink the function by a factor of 1/3, we just need to multiply it by the factor, that is:
[tex]y = (1/3) * f(x)[/tex]
[tex]y = (1/3) * x^2[/tex]
[tex]y = x^2 / 3[/tex]
Now, to translate the function 7 units to the right, we just need to substitute the values of x in the function by (x-7):
[tex]y = (x-7)^2 / 3[/tex]
So the correct option is B)
Answer:
Y = 1∕3 (x -7)2
Step-by-step explanation:
someone help plz, I'm stuck
Answer:
Original price reduced by 30%
Step-by-step explanation:
You want the deepest discount, which means you want the greatest percent/amount off. The first choice is 20%. The second is 30%. The third one is 25%, because you are paying for 75% (100-75). The second choice offers the deepest discount because it is 30% off.
Divide. Simplify(or reduce) 32 dived by seven eights
Answer:
32 divided by 7/8 is 36 and 4/7
Step-by-step explanation:
Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.
Which inequality is true for all real numbers? Check all that apply.
O a-b
ac > bc
If a 2 b, then a + c2b+c
If c > 0, then a-c < a- d
If a
Answer:
c., d.
Step-by-step explanation:
a. Let a = 5; let b = -2
a - b < a + b
5 - (-2) < 5 + (-2)
5 + 2 < 5 - 2
7 < 3 this is a false statement, so choice a. is not true for all real numbers.
b. ac >= bc
Let a = 5; let b = 2; let c = -3
5(-3) >= 2(-3)
-15 >= -6 this is a false statement, so choice b. is not true for all real numbers.
c. If a >= b, then a + c >= b + c
You are adding the same amount, c, to both sides of a true inequality, so the result is still a rue inequality.
True
d. If c > d, then a - c < a - d
Start with c > d.
Multiply both sides by -1. Remember to flip the inequality sign.
-c < -d
Now add a to both sides.
a - c < a - d
True
e. If a < b, then a < b + c
Let a = 5, b = 7, and c = -5
If 5 < 7, then 5 < 7 + (-5).
If 5 < 7, then 5 < 2. This is a false statement.
Answer: c. and d. are true.
A group of students must collect at least $160 to organize a science fair. They have already collected $20. Which graph best represents the possible amounts of money the students still need to collect? (1 point) Number line graph with closed circle on 160 and shading to the right. Number line graph with closed circle on 140 and shading to the right. Number line graph with closed circle on 20 and shading to the right Number line graph with closed circle on 180 and shading to the right.
Answer:
Number line graph with closed circle on 20 and shading to the right or c
Step-by-step explanation:
This is the best answer because you start of at 20 dollars and need to continue collecting money till you have 160 dollars.
Answer:
The 3rd one
Step-by-step explanation:
You have already collected $20. You need at least $160, but having even more money would be great. You need $160, but any number to the right of 160 would be even better as your goal.
map has a scale of 5 inches : 12 miles. If two cities are 13 inches apart on the map, what is the actual distance between the cities, to the neareat mile
Answer:
31.2 miles
Step-by-step explanation:
5 in.: 12 mi
13 in: 12 mi
5/13 = 12/x
cross multiply = 5x = 156
x = 31.2
Hope this helps:)
Answer:
31.2 miles
Step-by-step explanation:
5 in.: 12 mi
13 in: 12 mi
5/13 = 12/x
5x = 156
x = 31.2
A student was given the following diagram and asked to prove that AX = XC. What would be the reason for the third step in the proof? - Please help!
Answer:
B. SAS triangle congruence
Step-by-step explanation:
Statement 1 said that a side and an angle were congruent in both triangles.
Statment 2 said that they share a line, thus making them equal.
So, a Side Angle Side(SAS)
Compute the missing data in the table for the following exponential function . Leave your answer in decimal form.
x
1
2
3
4
5
6
7
y
0.5
0.25
0.125
0.0625
?
0.01563
0.00781
a.
0.03753
c.
0.03125
b.
0.0379
d.
0.03951
Answer: Option C: 0.03125
Step-by-step explanation:
we have an exponential equation, so we have:
f(x) = A*r^x
we have that:
f(1) = A*r^1 = A*r = 0.5
f(2) = A*r^2 = 0.25
f(3) = A*r^3 = 0.125
f(4) = A*r^4 = 0.0625
f(5) = A*r^5 = ?
we want to find the value f(5)
first, let's take the quotient:
f(2)/f(1) = (A*r^2)/(A*r) = r = 0.25/0.5 = 0.5.
then we have:
f(x) = A*0.5^x
and f(1) = A*0.5 = 0.5
then A = 0.5/0.5 = 1.
now we know that our function is f(x) = 0.5^x.
then, if we want to find f(5) we have:
f(5) = 0.5^5 = 0.03125
Then the correct option is option c.
Which division expression is equivalent
Answer:
Step-by-step explanation:
the division expression equivalent to 4 1/3 / (-5/6) is
13/3 / (-5/6)
The solution is A
4 1/3 is 13/3
4x3= 12 + 1 = 13 which is 13/3
Please help with this
The following formula is for the area, A, of the curved surface area of a cone.
[tex]a = \pi \times r \times l[/tex]
where r is the radius and / is the slant height of the cone.
Calculate the total surface area of a cone with radius 6 cm
and slant height 13 cm.
Answer:
Step-by-step explanation:
A= 3.142 x r x l
r=6
l=13
total surface area = area of the curved section + area of the base
area of curved section = 6x13=78pi
aeea of base= 6x6=36pi
78+36=114pi = 358.1cm squared
The lateral surface area of the cone will be 244.92 square centimeters.
What are the lateral surface area and surface area of the cone?Let l be the slant height of the cone and A be the base area of the cone.
Then the lateral surface area of the cone will be
Lateral surface area = πrl
The surface area of the cone will be
Surface area = πr (l + r)
A cone with a radius of 6 cm and a slant height of 13 cm. Then the lateral surface area of the cone is calculated as,
Lateral surface area = πrl
Lateral surface area = 3.14 x 6 x 13
Lateral surface area = 244.92 square cm
The parallel surface region of the cone will be 244.92 square centimeters.
More about the lateral surface area and surface area of the cone link is given below.
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The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than its height. Sketch or describe this rectangle, using an algebraic expression to represent each of its side lengths.
Answer:
Knowing that the object is a rectangle, and that the base is 2x the height, you could say that h=height and b=base (and the base is the same as width since the object is a rectangle) then a possible equation you could construct is 2(h+2b)
Step-by-step explanation:
For example, using this equation with numbers may look like the following:
2(h+2b)2(21+2*21)2(21+42)2(61)=122Hopefully I was able to help you :) I would love to hear some feedback if possible and if you were able to find a simpler way.
One x-intercept for a parabola is at the point
(-1,0). Use the quadratic formula to find the
other x-intercept for the parabola defined by
this equation:
y=-2x2 + x + 3
Separate the values with a comma. Round, if
necessary, to the nearest hundredth.
Answer:
(1.5,0) U (-1,0)
Step-by-step explanation:
Plug this in to your graphing calculator and find the roots! Those are your solutions! Or you can use the quadratic formula to solve for the x values.
How many students all together?
Answer:
from the top of my head if I read the bars right I think its 98 but I could really see the bars
Answer:
102
Step-by-step explanation:
24+12+5+17+6+19+4+15= 102
PLEASE HELP WILL MARK BRAINLIEST The frequency f (in waves per second) and the wavelength w (in meters) of a sound traveling in the air are related by the equation fw = 343 where 343 m/s is the speed of sound in air. Calculate the wavelength of a musical note with a frequency of 240 waves per second. The wavelength is meters.
You gave us the speed and the frequency, and you need the wavelength.
You were also nice enough to remind us that (fqy)x(lng) = speed.
So . . . F x W = 343 m/s
Divide each side by F :
W = (343 m/s) / F
W = (343 m/s) / (240 / s)
W = (343/240) m
W = 1.429 meters
I NEED HELP ASAP!!!! WILL MARK BRAINLIEST
Answer: 5x + 1
Step-by-step explanation:
f(x) - g(x)
(3x + 2) - (-2x + 1) Here you distribute the negative sign to (-2x + 1)
3x + 2 + 2x - 1 Here you combine like terms
5x + 1 This is the answer.
which composition of transformations will create a pair of similar, not congruent triangles?
A. a rotation, then reflection
B. a translation, then rotation
C. a reflection, then a translation
D. a rotation, then a dilation
Answer:
I believe D. A rotation, then dilation.
Step-by-step explanation:
Congruent is same size, same shape.
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Hope this helps. Not 100% sure though.
D. a rotation, then a dilation
6) You have a bag of candy. You eat half of the candy after lunch and a quarter
of what you have left after dinner. Now you have 3 pieces left. How many
candies did you start with?
Answer:
you started with 6 candies
Step-by-step explanation:
find the sum if 1/2 and 1/4 of the remaining half
1/2+1/4=3/4
therefore 3/4 of the candies has been eaten remaining 1/4 of the candies.
total fractions of candies =1
if 1/4 : 3
then 1: ?
if more, less divides
1÷1/4×3
1×4/1×3
12
there fore the total candies are 12 and since the question asked his much you started with, and you know you started with half of the total, find half of the total
1/2×12=6
can someone find the area of this rectangle please?x
Answer:
72 cm^2
Step-by-step explanation:
If the Length is twice the Width, then W = W and L = 2W.
The perimeter formula is P = 2W + 2L, which here is:
36 = 2W + 2(2W), or
36 = 2W + 4W = 6W; then W = 6 and L = 12.
The area formula is A = L * W, which here is:
A = 6*12 = 72 cm^2
For a randomly selected driver, are the events "driving while using a cell phone" and "having a traffic accident" independent events? Explain your answer. PLEASE HELP :(
Answer:
Let's denote:
The event of driving while using a cell phone: A
The event of having a traffic accident: B
The event of driving while using a cell phone and having a traffic accident: A⋂B
P(A) = 11% = 0.11
P(B) = 5.26% = 0.526
P(A⋂B) = 28% = 0.28
If event A and event B are independent (it means the cause of a traffic accident is nothing related to driving while using a cell phone), then:
P(A) x P(B) = P(A⋂B)
Let's check:
P(A) x P(B) = 0.11 x 0.526 = 0.05786 and not equal to P(A⋂B) = 0.28
=> Event A and event B are not independent. In other words, they are related. (it means driving while using a cell phone is one of the reasons for having a traffic accident)
