Answer:
the highest common factor of the polynomial is (x + 2) (x - 3)
Step-by-step explanation:
The computation of the highest common factor of the polynomial is as follows:
According to the question, the following equation is given
'[tex]x^2 - x - 6[/tex]
Now do the factorization
[tex]x^2 -3x + 2x - 6[/tex]
x(x - 3) +2 (x - 3)
(x + 2) (x - 3)
hence, the highest common factor of the polynomial is (x + 2) (x - 3)
The same is to be considered
The earth travels one full rotation around the sun in approximately 365.25 days. How many minutes does it take for the earth to travel one full rotation around the sun? Show your work. Make sure to include units in your answer.
Using proportions, it is found that it takes 525,960 minutes for the earth to travel one full rotation around the sun.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
One day has 24 hours of 60 minutes, hence the number of minutes in a single day is given by:
Md = 24 x 60 = 1440 minutes.
Hence, the number of minutes in 365.25 days is given by:
My = 1440 x 365.25 = 525,960 minutes
More can be learned about proportions at https://brainly.com/question/24372153
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Use the figure below for items 6-7.
Х,
8
w
Z
6. If WY + XZ = 28, what is PZ? 'hint: find WY first
7. If XP = 7x - 2 and PZ = 4x + 10, what is XZ?
Please draw it on your paper or something and show it
Answer:
Parallel lines are line AB and line CD
and line BC and line AD
Step-by-step explanation:
(notation wise, put a line on top of the letters to show it is a line segment)
drawing shown below
please give thanks by clicking the heart button :)
A farmer divided his piece of land into 2 equivalent groups and the quality of the soil is the same in both of these groups. He used fertilizers for the first group of land. He did not use fertilizers for the second group of land. At the end of the season, he measured the yield of the crops in these 2 groups. Is the study observational or experimental
Answer:
Observational would mean that he (farmer) has no direct impact or change on the statistical study.Experiment would mean that he imposed a certain treatment up a group in this case it would be the land.Hence we can determine that the the study was an experimental one.Which graph shows a line with a slope of 3?
Answer:
The first graph shows a slope of 3.
Step-by-step explanation:
If the slope is 3, it's actually 3/1 because of rise/run. So you find any point on the graph that's directly between two lines, like (-1,-5). Since the line is positive, you would go right one and up three. Then you see if that point is directly between two lines. The next point is (0, -2). If you did the same on the second graph, it wouldn't match up.
At the end of a pizza party, 13 of a cheese pizza and 16 of a pepperoni pizza were left. Brad ate 12 of all the leftover pizza. What fractional part of a whole pizza did Brad eat?
112
16
19
14
Answer:
i think it is c or b but go with you gut feeling
Step-by-step explanation:
A project has the following projected outcomes in dollars: $230, $340, and $590. The probabilities of their outcomes are 25%, 55%, and 20% respectively. What is the expected value of these outcomes? $362.50 $347.50 $407.50 $377.50
Answer:
$362.5
Step-by-step explanation:
Given that :
x : _____ 230 ______340 ______ 590
P(x): ____0.25______0.55 _____ 0.20
To obtain the expected value E(x) of the outcome ; we can use the formula :
E(x) = Σ(x * P(x))
E(x) = (230 * 0.25) + (340 * 0.55) + (590 * 0.20)
E(x) = 57.50 + 187 + 118
E(x) = 362.50
Round 2.261 to the nearest one
Answer: 2.
Step-by-step explanation;
2.261 rounded to the nearest one is 2. Recall that the nearest ones whole number is the first digit before the decimal point of a number.
Samson opened a bank account with 1.25% simple interest. The total amount of interest Samson will earn after 20 years is $812.50.
How much did Samson deposit when he opened the account? Enter your answer in the box.
Step-by-step explanation:
find something open a bank account with 1.25% singing to the total amount of inches 10 NFL 2808 how much they served in the position he opened their account enter your answer is also came and there's nobody here so I'll just answer on the line so you come soon open a bank account with 1.5 interest amount of Interest some to Hereford Texas ezy842 1.25 then after then get her answer is x * 20
The amount of deposit when he opened the account will be $650.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Samson opened a bank account with 1.25% simple interest. The total amount of interest Samson will earn after 20 years is $812.50.
Then the amount of deposit when he opened the account will be given as,
A = P + I
812.5 = P + (P x 1.25 x 20)/100
812.5 = P [1 + 0.25]
812.5 = 1.25P
P = $650
The amount of deposit when he opened the account will be $650.
More about the simple interest link is given below.
https://brainly.com/question/2793278
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An 8 inch long diagonal in a rectangle makes an angle of 22 with a length of the rectangle. What is the length of the rectangle to the nearest tenth?
Please Help!!! :( I don't understand
Answer:
Step-by-step explanation:
You would do
4×18.5 =74
2×6.75 =13.5
14×7/8 =12.25
Add all that up and it equals 99.75lbs/pounds
I need some help lol
Answer:
the answer is c i had the same test
2. If a certain disease is found in 1 out of 12,000 people, what is the probability that there will be at least one person with that disease in a town of 24,000 people
Answer:
0.865
Step-by-step explanation:
Given that:
Disease is found in 1 out of 12000 people ; probability that disease is found in atleast one out of 24000 people
Using the binomial probability formula :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
p = 1/ 12000 = 0.0000833333
n = 24000
P(x ≥ 1) = p(x = 1) + p(x =2) + ... + p(x = 24000)
In other to save computation time, we can employ the use of an online binomial probability calculator or a Ti-89 calculator :
The result is thus : 0.86467588659
P(x ≥ 1) = 0.865
Help Me Please. and I will help you
Answer:
[tex]AB = 8.38[/tex]
Step-by-step explanation:
Given
[tex]AC = 9[/tex]
[tex]BC =10[/tex]
[tex]\angle B = 52[/tex]
Required
Determine AB
This question will be answered using the cosine law.
[tex](AB)^2 = (AC)^2 + (BC)^2 - 2(AC)(BC)\ \cos \angle B[/tex]
Substitute the expected values
[tex](AB)^2 = 9^2 + 10^2 - 2 * 9 * 10 * cos(52)[/tex]
[tex](AB)^2 = 81 + 100 - 180* cos(52)[/tex]
[tex](AB)^2 = 181 - 180* cos(52)[/tex]
[tex](AB)^2 = 181 - 180* 0.6157[/tex]
[tex](AB)^2 = 70.174[/tex]
Take square roots of both sides
[tex]AB = \sqrt{70.174[/tex]
[tex]AB = 8.38[/tex] -- approximated
Please get right lol
Answer:
-325
-125
Step-by-step explanation:
6.
Let the blank be x.
-50 + 375 + x = 0
325 + x = 0
x = -325
Answer: -325
7.
Let the blank be x.
-75 + x + 50 + 150 = 0
125 + x = 0
x = -125
Answer: -125
One week, Madelyn earned $265.60 at her job when she worked for 16 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $199.20?
Answer:
12 hours
Step-by-step explanation:
1. Start by dividing $265.60 by 16 hours to calculate the amount earned per hour.
$265.60 / 16 hours = $16.60/hr
2. Now, divide the new amount earned by her hourly wages (16.60)
199.20/16.60 = 12 hours
Which of the following statements are true? Select all that apply.
HELP PLEASE!
Suppose a blue car is 1/2 mile south of an intersection, driving north towards the intersection at 40 mph (miles per hour). At the same time, a red car is 1/2 mile east of the intersection, driving east (away from the intersection) at an unknown speed. The the straight-line distance between the blue and red car is increasing at a rate of 15 mph. What is the speed of the red car?
Answer:
dx/dt = - 18,79 mph
Step-by-step explanation:
The two cars with the intersection point and the straight-line distance between the cars make up a right triangle. In that right triangle, the legs are the distance between each car and the intersection point, and the distance between cars is the hypothenuse
If we call x and y distances between blue car and red car respectively and L the hypothenuse by Pythagoras theorem we have:
L² = x² + y² (1)
Tacking derivatives on both sides of the equation
2*L*dL/dt = 2*x*dx/dt + 2*y*dy/dt
And from equation (1)
L² = (0,5)² + (0,5)² ⇒ L = √(0,5)² + (0,5)² ⇒ L = 0,5*√2
By subtitution in equation (2)
2*(0,5*√2)*15 = 2*0,5*dx/dt + 2*0,5*40
(15*√2 - 40 ) / 1 = dx/dt [mph]
dx/dt = - 18,79 mph
Note the( - ) sign is equivalent to say that the car is driving away from the intersection point
The zoo needs to hire b staff members for each exhibit. Write the expression for
the number of staff members they need to hire for 20 exhibits.
Answer:
feed them to the lions
Step-by-step explanation:
rawr
Solve each inequality.
M/13 > -6
Answer:
m>−78
Step-by-step explanation:
that's your answer:)
What is the distance between the points (7,5) and (7, -8) on a coordinate plane?
Answer:
It should be 13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
Since 5 is positive and 8 is negative, then you can just add the two.
5 + 8 = 13
Or use the distance formula:
Distance = [tex]\sqrt{(x_{2} - x_{1}) ^{2} + (y_{2} - y_{1})^{2} }}\\\\\sqrt{(7 -7) ^{2} + (5 - (-8)) ^{2}}\\\\\sqrt{0 + 169} \\\\Approximately 13\\[/tex]
Linear equations
Show your work
Solve for x
x-4/y+2 = 5
Answer:
X-4\y+2=5 + -34(987)=10,111
Step-by-step explanation:
Add that at the top plus your answer you got then you got it
HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST
Answer:
[tex]n=\frac{5\ln \left(\frac{q}{r}\right)}{\ln \left(q\right)}-2[/tex]
Step-by-step explanation:
Answer:
n = 3
Step-by-step explanation:
I guess you want the value of n
-----------------------------------------------------------
Since n is the index of q, you can simply
ignore all p and r stuff and make it
[tex]q^{2}[/tex]×[tex]q^{n}[/tex] = [tex]q^{5}[/tex]
[tex]q^{2+n}[/tex] = [tex]q^{5}[/tex]
2 + n = 5
n = 3
immediately Thanks but it is urgent
Answer:
the answer is lletter D MARK ME IF CORRECT
Step-by-step explanation;
The difference in the price of 2 video games is $8.25. If one video game costs $19.50, which of the answer choices could represent the price of the other video game?
Answer:
the correct answer would be 11.25 or 27.75 unless the answer choices were some type of ratio
Step-by-step explanation:
10. What is the area of a triangle with base 4cm and
height 8cm?
A. 6cm2 B. 9cm2 C. 14cm D. 16 cm
Step-by-step explanation:
Area of triangle = 0.5(4)(8) = 16cm² (D).
If I have 12345678910 bananas and I take 12345678910 away, how many bananas do I have left?
Have a nice day :D
12345678910 - 12345678910 = 0
Last years' survey of blood type on 100 Ethiopian servals that 20 peoples have blood type A, 30 peoples have type B, 40 peoples have type O and the remaining have type AB. What is the probability of getting an Ethiopian with blood type A and AB?
Answer:
30%.
Step-by-step explanation:
The probability of getting an Ethiopian with blood type A is [tex]\frac{20}{100} \cdot 100%%[/tex], which equals to 20%, while the probability of getting an Ethiopian with blood type AB is [tex]\frac{100-40-30-20}{100} \cdot 100%[/tex], which equals to [tex]\frac{10}{100} \cdot 100%[/tex] and hence 10%. Therefore, just add the two probabilities together to get 20% +10% = 30%.
Hope this helped!
The number of visits to public libraries increased from 1.3 billion in 1994 to 1.6 billion in 1999. Find the average rate of change in the number of public library visits from 1994 to 1999.
Answer: 60 million per year
Step-by-step explanation:
The average rate of change in the number of public library visits from 1994 to 1999 will be calculated thus:
Average rate of change = change in number of vists in billions / number of years passed
= (1.6 billion - 1.3 billion) / 1999 - 1994
= 0.3 billion/5
= 60,000,000
= 60 million per year
A line passes through (-2, 10) and (8.-9). Write an equation for the line in point-slope
form AND rewrite the equation in standard form using integers.
Merry Christmas and Happy Holidays!!! <3
Answer:
The Standard Form of the equation of a line is: Ax+By=C
Converting that, once and forevermore, into slope-intercept form, and remembering the result,
the slope m=(-A/B).
If the given slope is 8, the equation of the line is 8x-y=C and we a point to determine C. Use (2,10)
8(2)-10=C
6 = C
The equation of the line, in Standard Form, is: 8x - y = 6