Answers
Answer:
KL = 9
Step-by-step explanation:
(7 + x - 1)(x - 1) = 12²
(x + 6)(x - 1) = 144
x² -x + 6x - 6 = 144
reduce:
x² + 5x -150 = 0
(x + 15)(x - 10) = 0
x = -15, x = 10
KL = 10 - 1 = 9
Related Questions
As Mercury revolves around the sun, it travels at a rate of approximately miles per second. Convert this rate to kilometers per second. At this rate, how many kilometers will Mercury travel in seconds? In your computations, assume that mile is equal to kilometers. Do not round your answers.
Answers
Answer:
Step-by-step explanation:
There are a lot of conversion factors involved in this question.
First of all the radius of Mercury's orbit is 0.4 times that of the earth. The earth's distance from the sun is about 93 million miles. So Mercury's distance or radius is 93 * 0.4 = 37.2 million miles.
The circumference = 2 * pi * r
The circumference = 6.28 * 37200000 = 233616000 miles
This is accomplished in 88 days.
88 days [24 hours/day] * [3600 sec / hour] = 7603200 seconds
88 days = 7603200 second
Rate of travel = miles / second
Rate of travel = 233616000 / 7603200
Rate of travel = 30.726 miles / second
This number was not given so I had to derive it. The official number does not disagree a great deal from this number. It just depends on what constants you use.
1 mile = 1.6 km
30.725 miles = x Cross multiply
x = 1.6 * 30.725
x = 49.16 km/ second
I cannot go any further because you have not provided any givens. The answers do vary quite a bit because I have assumed that Mercury's orbit is a circle. It really is not. It is more like an ellipse.
The official speed in km/sec = 47 which means the answer I have given is very close. A more accurate answer would require that you put the numbers in the blanks that you were given.
Find the volume (in cubic yards) of a cylinder with radius 1.2 yards and height 2.6 yards. (Round your answer to one decimal place.)
Answers
Answer: 11.76
Step-by-step explanation:
The formula for cylinder is pi*r^2*h
so substitute and you will get pi*1.44*2.6
Simplify it and you will get 11.75616 or 11.76.
Answer:
11.8 yards
Step-by-step explanation:
Will give brainliest and 30 points
Find y.
Do not round your answer.
9 in
5 in
Х
19 in
y = [ ? ] in
Answers
Answer:
[tex]x \times 19 = 9 \times 9 \\ x = \frac{81}{19} \\ y \times 5 = 9 \times 9 \\ y = \frac{81}{5} = 16.2[/tex]
Answer:
11.2
Step-by-step explanation:
How many favorable outcomes will there be for spinning the same color twice?
Answers
Answer:
3 favorable outcomes
There are three paths that end up with spinning the same color twice
Answer:
should be 3
Step-by-step explanation:
Please please help no scams please
Answers
Answer:
between 6 and 7
Step-by-step explanation:
√39 = 6.244... which is between 6 and 7
also, you do not need a calculator if you know that the sq. rt. of 36 is 6 and the sq. rt. of 49 is 7. 39 is between 36 and 49.
According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level. If 100 such adults are selected at random, determine the probability that the number who have ahigh school degree as their highest educational level is a. Exactly 32
Answers
Answer:
0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.
This means that [tex]p = 0.304[/tex]
100 such adults
This means that [tex]n = 100[/tex]
Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32
This is P(X = 32).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803[/tex]
0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
P+p+p/2+p/4+1=100
Polinomios
Answers
Answer:
=
3
6
Step-by-step explanation:
+
+
2
+
4
+
1
=
1
0
0
{\color{#c92786}{p}}+{\color{#c92786}{p}}+\frac{p}{2}+\frac{p}{4}+1=100
p+p+2p+4p+1=100
2
+
2
+
4
+
1
=
1
0
0. 2
+
2
+
4
+
1
=
1
0
0
2p+\frac{p}{2}+\frac{p}{4}+1=100
2p+2p+4p+1=100
2
+
2
+
4
+
1
−
1
=
1
0
0
−
1. Subtract the numbers
Subtract the numbers
2
+
2
+
4
=
9
=
3
6
.
Write the equivalent fraction with a denominator of 100.
What number will go in the numerator? 9/10=
1) 10
2) 50
3) 90
Answers
Answer:
90/100
Step-by-step explanation:
Hope this helps you...
Answer:
9/10 = 9×10/10×10 = 90/100
3) 90
Need help quickly! Thanks
Answers
Answer:
y = [tex]-2^x[/tex]
Step-by-step explanation:
If the equation of a function is in the form of y = h(x)
When the graph of this function is reflected across x-axis,
Transformed function will be,
y = -h(x)
Further reflected across y-axis, then the transformed function will be,
y = -h(-x)
By this rule,
Given equation when reflected across x-axis,
y = [tex]-(\frac{1}{2})^{x}[/tex]
Further reflected across y-axis,
y = [tex]-(\frac{1}{2})^{-x}[/tex]
y = [tex]-(2^{-1})^x[/tex]
y = [tex]-2^x[/tex]
please answer with explanation
Answers
Answer:
5
Step-by-step explanation:
You need to add the bowls and vases. You get 20. Then you divide to get one quarter of then and get 5.
A recipe for a pie calls for 2/4
cup of blackberries and 1/5 cup of raspberries.
What is the total amount of berries needed for the recipe?
Answer here
SUBMIT
Answers
Answer: 14/20=7/10 cup
Step-by-step explanation:
2/4 is equal to 10/20
1/5 is equal to 4/20
10/20+4/20= 14/20
if ax-cd=a wat is x .......
Answers
Answer:
Option A:[tex] \frac{a + cd}{a} [/tex]
Step-by-step explanation:
ax - cd = a
=> ax = a + cd
[tex] = > x = \frac{a + cd}{a} [/tex]
Hence,
Option A is the answer.
Answer:
A. [tex]\frac{a+cd}{a}[/tex]
Step-by-step explanation:
ax-cd=a
Add cd to both sides:
ax=a+cd
Divide both sides by a:
x=[tex]\frac{a+cd}{a}[/tex]
Solve each equation 24 = 5k - 8k
Answers
Answer:
k = -8
Step-by-step explanation:
24 = 5k - 8k
24 = -3k
k = 24/(-3)
k = -8
Answer:
k = -8
Step-by-step explanation:
Solve for k
First we re arrange our equation so that it look simple to calculate.
24=5k-8k
5k-8k = 24
-3k = 24
Divide -3 both side to get the value of k
k = -8
To prove substitute k into formula:
5k-8k = 24
5 (-8) - 8 (-8) = 24
-40 + 64 = 24
24 = 24
Please help me with this for 20 points !!!!
Answers
Answer:
A (the first answer)
Step-by-step explanation:
A color printer prints 8 pages in 5 minutes.
How many minutes does it take per page?
Answers
Answer:
It takes 5/8 minutes or 0.625 minutes to print per page.
Step-by-step explanation:
The find the singular unit value of how long it would take per page you simply divide the amount that you are trying to figure out by the total amount of time you are taking and in this case it would be 5 divided by 8 in order to solve for the amount of minutes it takes per page.
Round 569.903507815 to the nearest whole number?
Answers
Answer:
if you round it to a whole number... it should be 570
Step-by-step explanation:
just round the tenth place
Lauren bought 20 oz of sliced ham. She used 3/4 of the ham to make sandwiches for her friends. She used 1/5 of the ham in an omelet. How many ounces of ham were left?
Answers
Answer:
19 oz
Step-by-step explanation:
Lauren bought 20 ounces of sliced ham, out of which she used three-fourth of the ham to make sandwiches for her friends and one fifth of the ham in an omelette. We are to find the ounces of ham that were left. So, total ounces of ham that were used = 15 + 4 = 19 ounces.
Hope this helped!
Many businesses and organizations insist that official communications use professional-looking fonts, such as Times New Roman. Fonts characterized as less professional, such as Comic Sans, should be avoided. A student would like to determine if font choice makes a difference in the average grade on a typed response in English classes. There are currently four English classes available from which the student can collect data, and each class has a similar writing assignment. That the start of the assignment, students are randomly assigned a font, either times new Roman or comic sans, and then complete the assignment the teachers grade the assignment and the mean grade for each font is found.
What is the response variable in this experiment?
A the font used by each h student
B, the teachers grading the responses
C the grade received on each assignment
D the length of the student response on the assignment
Answers
Answer:
C.
Step-by-step explanation:
The response variable can be defined as those variables that are considered to be the focus of a question in research or experiment. It is also known as a dependent variable and is marked on the y-axis. The response variable is explained with the help of an explanatory variable, marked on the x-axis. The other names for response variables are y-variables or outcome variables.
In the given case, the response variable is the grade received on each assignment. The grades received by students on each assignment are the main focus of this research.
Therefore, option C is correct.
Someone please help me with this , open the picture
Answers
Answer:
All this is asking you to do is to create a sketch of the newly cropped pyrmid and asking you to describe the new changements. (Answer Varies)
Step-by-step explanation:
Use the graph. How does the diagram show that the slope between any two points on a line is the same? A. It does not show this because the triangles are not the same size. B. The triangles have the same vertical heights and horizontal lengths. C. The distance between A and B is the same as the distance between B and C. D. The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent.
Answers
Answer:
the answer is D The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent.
Step-by-step explanation:
The triangles are similar so the ratios of their vertical heights to their horizontal lengths are equivalent. Therefore, option D is the correct answer.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
We know that, slope = Rise/Run.
Here, slope of a line AB = 3/6
= 1/2
Now, slope of a line BC = 2/4
= 1/2
Therefore, option D is the correct answer.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ3
Respond Quick PLZ help me out determines if I fail
Answers
Answer:
1. infinite many solutions
2. With solution: x+y=7 ,2x+y=6
Without solution: x+y=8 ,x+y=9
Infinite solution: x+y=3, 2x+2y=6
Step-by-step explanation:
By the way, can you follow me?
Thanks!
volusia instructure.com - Private A triangle is shown below. What are the coordinates of the three vertices? 10T 9 8 -6 5 B 3 4 5 6 7 8 9 10 10-9-8-7 -6 -4-3-2 1 2 с AC 5 -6 -8 O (7,3), (-2, 3), (3,-2) 0 (-7, -3), (-2, 3), (2, -3) O (-7,-3), (3,-2), (-2,-3) (3, 7), (3, -2), (-2,3) Avection
Answers
7,3), (-2, 3), (3,-2) 0 (-7, -3), (-2, 3), (2, -3)
FIND THE VALUE OF X.
Answers
Answer:
x = 6
Step-by-step explanation:
From the diagram AB = BC
4x-9 = 15
Add to both sides
4x-9+9 = 15 + 9
4x = 24
Divide both sides by 4
4x/4 = 24/4
x = 6
Hence the value of x is 6
HELP I BEG
Solve the linear equation and explain why it’s either one solution, infinite solution or no solution
2(4+2.5x)+7 = -3(x-5)
Answers
Answer:
infinite solution , b/c when i graphed it , it showed a line that went on & on
Step-by-step explanation:
2(4+2.5x)+7 = -3(x-5)
8+5x+7=-3x+15
15+5x=-3x+15
2x=0
A caterer uses special stacking ovens to prepare large
amounts of food. Find the total number of servings that
can be prepared in one hour.
Lasagne: 8 servings per pan
Number of pans per oven: 3
Number of ovens: 3
Pan changes in one hour: 2
Answers
Answer:
144
Step-by-step explanation:
What is the slope of the line 18x + 25y = 5?
Answers
I NEED HELp! what is the area of the triangle? the sides are 16, 20, and 12.
Answers
your answer would be 96
(b) I can share the cubes in bag B
equally between 4 people.
How many cubes could be in bag B?
There are two answers. Write them both.
bag B
more than 20
fewer than
30
Answers
9514 1404 393
Answer:
24, 28
Step-by-step explanation:
Multiples of 4 between 20 and 30 are ...
24 = 6·4
28 = 7·4
There could be 24 or 28 cubes in bag B.
a game consists of randomly choosing a bag (labelled 1,2 or 3) out of a choice of 100, and then again randomly, picking a ball (red or black) from it. each bag has the same number of total balls (10)
Answers
Answer:
see below
Step-by-step explanation:
a- 0.2
as 0.35 + 0.45=0.8
1-0.8=0.2
c. 112
b. im not sure what b is but if i work it out ill add it as an additional comment :)
25, 87, 90, 25, 67
Mean:
Median:
Mode:
Range:
500,100,300,300,500,100
Mean:
Median:
Mode:
Range:
5,5,4,4,3,3,2
Mean:
Median:
Mode:
Range:
Answers
Answer:
mean number 1 25+87+90+25+67=294 294/5 58.8 question 2 500+100+300+300+500+100=1800 1800/6 =300
Answer:
Step-by-step explanation:
Mean: 289 (not sure)
Median: 90
Mode: 25
Range: 65
Mean: 1794 (still not sure)
Median: 300
Mode: 400?
Range: 400
Mean: 19
Median: 4
Mode: i dont know
Range: 3