Answers
Answer:
64 units
Step-by-step explanation:
Segment addition holds, so we can write ...
LM + MN = LN
(10x +8) +(5x-4) = (12x +16)
15x + 4 = 12x + 16 . . . . . . . . collect terms
3x -12 = 0 . . . . . . . . . . . . . . subtract 12x+16
x-4 = 0 . . . . . . . . . . . . . . . . . divide by 3
x = 4 . . . . . . . add 4
LN = 12x +16 = 12·4 +16 = 48 +16 . . . . . substitute into the expression for LN
LN = 64 . . . . units
Related Questions
please help type the integer that represents the correct answer the absolute value of 7
Answers
________________________________________________________
What is the percent chance a coin lands on heads with 3 tosses?
Answers
then you convert it into a percent
12.5%
The table shows the calories burned during exercise.
(picture of the table attached)
Which statement is true?
A)The y-intercept of the function is (15, 75).
B)The rate of change is 15 calories burned per minute.
C)A linear function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.
D)An exponential function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.
Answers
We have then that the slope of the line is:
[tex]m = \frac{y2-y1}{x2-x1} [/tex]
Substituting values:
[tex]m = \frac{150-75}{30-15} m = 5[/tex]
Then, the equation of the line is:
[tex]y = 5x [/tex]
Answer:
C) A linear function to model the burned calories, and, as a function of time in minutes, x, is y = 5x.
Answer: C. A linear function to model the calories burned, y, as a function of time in minutes, x, is y = 5x.
Step-by-step explanation:
A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will it take him to reach the ground?
Answers
[tex]h = -16t ^ 2 + 25 [/tex]
We must match the equation to zero:
[tex]-16t ^ 2 + 25 = 0 [/tex]
From here, we clear the value of t.
We have then:
[tex]16t ^ 2 = 25 t ^ 2 = 25/16[/tex]
We discard the negative root because we are looking for time:
[tex]t = \sqrt{ \frac{25}{16} } [/tex]
[tex]t = \frac{5}{4} [/tex]
Answer:
it will take him to reach the ground about:
[tex]t = \frac{5}{4} [/tex] seconds
Identify the type of sequence AND provide the next 3 terms:
5 , 9, 13, 17…
-1, 2, -4, 8…
8, 1, -6, -13…
Answers
-16, 32, -64
not sure about the last one
grant is rolling a standard six sided number die eight times. how many outcomes are possible
Answers
There are 6 possible outcomes for each roll; 6^8 = 1679616
We have been given that Grant is rolling a standard six sided number die eight times and we have to find the total number of outcomes.
Grant is rolling six sided number die. Hence, we can say that
Number of outcomes if rolled once = 6
Number of outcomes if rolled twice = [tex]6\times 6= 6^2[/tex]
Number of outcomes if rolled thrice= [tex]6\times 6 \times 6= 6^3[/tex]
We can see that if rolled twice then we have exponent 2, when rolled trice then we have an exponent 3.
Hence, if rolled 8 times then we have an exponent 8 on 6.
Therefore, the possible number of outcomes should be [tex]6^8= 1679616[/tex]
Hence, the number of possible outcomes is 1679616
Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the slope of the line through the origin and the center.
Answers
y_2 - y_1/x_2 - x_1
Fill in:
0 - r/0 - r
r/r
1
The answer to this problem is 1.
The value of slope of the line through the origin and the center is,
⇒ Slope = 1
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Circle P is tangent to the x-axis and the y-axis.
And, the coordinates of the center are (r, r),
Now, The value of slope of the line through the (0, 0) and the center (r, r) is,
⇒ Slope = (r - 0) / (r - 0)
⇒ Slope = r/r
⇒ Slope = 1
Thus, The value of slope of the line through the origin and the center is,
⇒ Slope = 1
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ3
FACTORIZE PLEASE, A LOT OF POINTS
64x^(3)-48x^(2)+12xy^(2)-y^(3)
Answers
=> (4x)³ - 3(4x)²(y) + 3(4x)(y)² - y³
We know the formula: (a - b)³ = a³ - 3a²b + 3ab² - b³
By applying this formula above, we will get
=> (4x - y)³. (Ans)
Hope this helps!
or you can just put it in a smaller form by saying (4x - y)³
What is the vertex form, f(x) = a(x − h)2 + k, for a parabola that passes through the point (4, −3) and has (5, 2) as its vertex. What is the standard form of the equation?
Answers
[tex]\text{therefore we have:}\ f(x)=a(x-5)^2+2[/tex]
[tex]\text{a parabola that passes through the point (4, −3)}[/tex]
[tex]\text{substitute the coordinates of the point (4;-3) to the equation:}[/tex]
[tex](4;-3)\to x=4;\ y=-3\\\\-3=a(4-5)^2+2\\\\-3=a(-1)^2+2\\\\-3=a+2\ \ \ |-2\\\\a=-5[/tex]
[tex]f(x)=-5(x-5)^2+2=-5(x^2-2\cdot x\cdot5+5^2)+2=-5(x^2-10x+25)+2\\\\=-5x^2+50x-125+2=-5x^2+50x-123[/tex]
Answer:
y = x² - 10x + 27
Step-by-step explanation:
What is the smallest natural number that 2, 10, 14, and 36 will divide evenly?
Answers
Written Answer: The smallest Natural number that 2, 10, 14, and 36 is divide evenly by is 2.
Which point best represents the square root of 15?
A. Point A
B. Point B
C. Point C
D. Point D
Answers
So point B is the answer it’s between 2 and 4
HELP ASAP
What are the coordinates of the vertices of the triangle after a dilation by a scale factor of
1
4
, centered at the origin?
U → U'
V → V'
W → W'
Answers
U' = (-1,2)
V' = (2,2)
W' = (0,-2)
Explanation:
The given dilation factor is 1/4
This means that each coordinate point is multiplied by 1/4 to get its dilated image.
For point U:
Point U = (-4,8)
x coordinate of U' = 1/4 * x coordinate of U
x coordinate of U' = 1/4 * -4 = -1
y coordinate of U' = 1/4 * y coordinate of U
y coordinate of U' = 1/4 * 8 = 2
This means that: U' = (-1,2)
For point V:
Point V = (8,8)
x coordinate of V' = 1/4 * x coordinate of V
x coordinate of V' = 1/4 * 8 = 2
y coordinate of V' = 1/4 * y coordinate of V
y coordinate of V' = 1/4 * 8 = 2
This means that: V' = (2,2)
For point W:
Point W = (0,-8)
x coordinate of W' = 1/4 * x coordinate of W
x coordinate of W' = 1/4 * 0 = 0
y coordinate of W' = 1/4 * y coordinate of W
y coordinate of W' = 1/4 * -8 = -2
This means that: W' = (0,-2)
Hope this helps :)
The coordinates of a triangle's vertices after a dilation by a scale factor of 1/4, centered at the origin, are found by multiplying each of the original vertex coordinates by 1/4.
The coordinates of the vertices of the triangle after a dilation by a scale factor of 1/4, centered at the origin, can be found by multiplying the original coordinates of each vertex by 1/4. If the original coordinates are (x, y), then the coordinates after the dilation will be (x/4, y/4).
This applies to all vertices of the triangle, so the transformed triangle, denoted by U', V', and W', will have vertices with coordinates calculated by taking the original vertex coordinates of U, V, and W and scaling them down by a factor of 1/4.
1. What is the median of the following set of numbers?
48.4, 47, 43, 47, 43.6, 41.6, 45, 51.4, 38.6
Hint: Order the numbers from least to greatest first!
A. 48.4 B. 43.6 C. 45
2. Each of the five math teachers are comparing the number of students in their homeroom classes. The number of boys and girls in each teachers’ classes are recorded in the table below.
Hint: Mean is the average.
Which statement best describes the means of the two sets of data?
A. The mean number of girls in 7 times greater than the mean numbers of boys in the homeroom classes.
B. The mean number of girls is the same as the mean number of bboys in the homeroom classes.
C. The mean number of girls is 7 more than the mean number of boys in the homeroom classes.
Answers
The middle number (median) is 47.
2.The table is not displayed so will explain how you can solve the problem.
→ Mean is the average. Find the sum and divide by the quantity of numbers you added to find the sum.
If you still need help with #2, upload the image of the table or type in the data.
Answer:b
Step-by-step explanation:divided look around the chart
Range for the equation 2y=8-4x if the domain is (-2,-1,0,2,5)
Answers
Put numbers from {-2; -1; 0; 2; 5} to the equation instead of x:
[tex]x=-2\to y=4-2\cdot(-2)=4+4=8\\\\x=-1\to y=4-2\cdot(-1)=4+2=6\\\\x=0\to y=4-2\cdot0=4\\\\x=1\to y=4-2\cdot1=4-2=2\\\\x=2\to y=4-2\cdot2=4-4=0[/tex]
We have the range: {0; 2; 4; 6; 8}.
Find two number whose sum is 60 such that the sum of the square of one number plus 12 times the other number is a minimum
Answers
x^2=48
x=6.93
Hope this helps
The local weather person has been accurate in her predictions within 2 degrees temperature forecast 80% of the time. Find the probability that she is accurate...
a) exactly 3 out of the next 5 days
b) at least 4 of the next 5 days
Answers
B) 0.7373
To find the probability that she is correct exactly 3 days, we have
[tex]_5C_3(0.8)^3(1-0.8)^{5-3} \\ \\\frac{5!}{3!2!}(0.8)^3(0.2)^2=0.2048[/tex]
To find the probability that she is right at least 4 of the 5 days, we find the probability she is right 4 days, the probability she is right 5 days, and add them together:
[tex]_5C_4(0.8)^4(1-0.8)^{5-4}+_5C_5(0.8)^5(1-0.8)^{5-5} \\ \\\frac{5!}{4!1!}(0.8)^4(0.2)^1+\frac{5!}{5!0!}(0.8)^5(0.2)^0 \\ \\5(0.8)^4(0.2)+0.8^5=0.4096+0.32768=0.73728\approx0.7373[/tex]
Tim bought 5 pencils for .25 cents each. he also bought 2 packs of paper for $1.25 each. he paid with a $10.00 bill. how much change could tim receive
Answers
.25 • 5 = 1.25
1.25 • 2 = 2.50
2.50 + 1.25 = 3.75
10 - 3.75 = 6.25
Find the approximate circumference of a circle with a radius of 2.6 millimeters. Use = 3.14.
Answers
Find the value of the lesser root of x 2-8x+7=0
Answers
[tex] {x}^{2} - 8x + 7 = 0[/tex]
[tex](x - 7)(x - 1)[/tex]
Rule AB = 0, gives A = 0 or B = 0
[tex]x - 7 = 0 \: \: or \: \: x - 1 = 0 \\ x = 7 \: \: \: \: \: \: \: \: \: or \: \: x = 1[/tex]
Therefore, the smallest of both roots is x = 1.
There are 158 fourth grade studnets and 139 fifth grade students going on a field trip. There needs to be one caperone for every 8 kids. Explain how to find the number of caperones needed for the trip.
Answers
(158 + 139)/8
297/8 = 37.125
You will need a minimum of 38 chaperones for the 297 students. If there is any remainder(decimal) you will need an extra chaperone so the groups do not exceed 8.
Which expression is equivalent to square root 55x^7 y^6/11x^11 y^8? Assume x > 0 and y > 0.
Answers
[tex] \sqrt{ \frac{5 x^{7} y^{6} }{ x^{11} y^{8} } } [/tex]
Now reduce the fraction with [tex] x^{7} [/tex].
[tex] \sqrt{ \frac{5 y^{6} }{ x^{4} y^{8} } } [/tex]
Reduce the fraction one more time with [tex] y^{6} [/tex].
[tex] \sqrt{ \frac{5}{ x^{4} y^{2} } } [/tex]
To take the root of a fraction,, we must take the root of the numerator and denominator separately. This rule will change the expression to the following:
[tex] \frac{ \sqrt{5} }{ x^{2} y} [/tex]
Since we cannot simplify this fraction any further,, the final answer is going to be [tex] \frac{ \sqrt{5} }{ x^{2} y} [/tex].
Let me know if you have any further questions.
:)
Answer:
Basically the answer is C.
The art museum will hang 3 famous paintings in a row. How many different ways could the paintings be hung?
Answers
There are six different ways to hang three unique paintings.
The question on how many different ways the paintings could be hung pertains to a mathematical concept known as permutations. Since there are three paintings and each one must occupy a unique position in the row, we need to calculate the number of permutations of three items. In permutations, the order matters, so the sequence ABC is different from ACB even though they contain the same paintings.
To solve this, we use the formula for permutations without repetition, which is n! (n factorial), where n is the number of items to arrange. For three paintings, this gives us:
3! = 3 × 2 × 1 = 6 different ways
Therefore, there are six different ways to hang the three paintings.
The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?
Answers
HURRY PLZ
Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the correct box. Right Triangle Not a Right Triangle.
Determine whether each set of side lengths could be the sides of a right triangle.
Drag and drop each set of side lengths to the correct box.
Right Triangle Not a Right Triangle.
6cm, 22.9cm, 20.1cm.
10.5cm, 20.8cm, 23.3cm
Answers
36 + 404 does NOT equal 524.41
These do NOT form a right triangle.
10.5^2 + 20.8^2 =? 23.3^2
110.25 + 432.64 = 542.89
Therefore, it is a right triangle.
Answer:
Second option is the correct answer.
Step-by-step explanation:
To know if the given set of numbers can be possible lengths for a right triangle, we will use the Pythagorean theorem that states:
[tex]a^{2}+b^{2} =c^{2}[/tex]
a and b are smaller lengths.
Option first:
6cm, 22.9cm, 20.1cm.
[tex]6^{2}+20.1^{2} =22.9^{2}[/tex]
=> [tex]36+404.01=524.41[/tex]
=> [tex]440.01\neq 524.41[/tex]
This is not a right triangle.
Option second:
10.5cm, 20.8cm, 23.3cm
[tex]10.5^{2}+20.8^{2} =23.3^{2}[/tex]
=> [tex]110.25+432.64=542.89[/tex]
=> [tex]542.89=542.89[/tex]
This is a right triangle.
Based on the density graph below, what is the probability of a value in the sample space being anywhere from 60 to 80?
A.50%
B.75%
C.100%
D.25%
Answers
Ans: Option (D) 25%
Explanation:
In this case you need to find the area under the curve, which would essentially be the probability of a value in the sample space.
Now the range given is from 60 to 80; it contains the mini-triangle.
The area of the triangle = (1/2)*base*height
Since base = 80 - 60 = 20
Height = 0.025 - 0 = 0.025 (see in the graph)
Therefore
The area of the triangle = 1/4 = 0.25 which is essentially be the probability.
In percentage form, it is 25% (Option D)
Answer:
75%
Step-by-step explanation:
Solve the system using substitution or elimination and describe your steps. Be sure to verify your solution. • x = y - 3 2x + y = 12
Answers
2x + y = 12
substitute x = y - 3 into 2x + y = 12
2x + y = 12
2(y - 3 )+ y = 12
2y - 6 + y = 12
3y - 6 = 12
3y = 18
y = 6
substitute y = 6 into x = y - 3 to find x
x = y - 3
x = 6 - 3
x = 3
answer
x = 3 and y = 6
A jet plane is descending at a rate of 200 feet per second from an altitude of 36000 feet let x represent the number of seconds of descent and y represent the jet plane’s altitude in feet.
Which expression represents this situation?
A. y = 200x - 36000
B. y = 200x + 36000
C. y = -200x - 36000
D. y = -200x + 36000
Answers
In x second, the plane will have descended by 200*x ft = 200x ft
The altitude of the plane, y after x seconds will be 36000 - 200x. That is,
y= 36000-200x = -200x + 36000.
Therefore, the correct expression representing this situation is D.
y=ax+b
where:
a=slope=rate
b=y-intercept or initial valuegiven:
from the question
a=200 ft per second
b=36000 ft
thus the expression representing the situation will be:
y=200x+36000
where x is time in seconds
thus the answer is:
B. y = 200x + 36000
PLEASE HELP 20 POINTS
Answers
looking at the graph there is a peak on x= 1 and then a peak on x= 4
4-1 = 3 so the peak is 3
the amplitude is the midpoint between the highest point and lowest point
on the graph
the high point is y=1 and the low point is y = -2
1 + -3 = 3 spaces, midpoint = 3 / 2 = 1.5 so the amplitude = 1.5
the answer is the first one.
Answer:
Step-by-step explanation:
i put a awnser and that person hacked me lol
For which of the inequalities below is v = 4 a solution? A v + 5 ≥ 9 B v + 5 > 9 C v + 5 < 8 D v + 5 ≤ 8
Answers
A group consists of five men and seven women. four people are selected to attend a conference.
a. in how many ways can four people be selected from this group of twelve?
b. in how many ways can four women be selected from the seven women?
c. find the probability that the selected group will consist of all women.0
Answers
b. This is 7C4 = 7C3 = (7*6*5) / 6 = 35 ways
c. This would come to 7C4 / 12C4 = 35/495 = 7/99