Answer:
X³-x
Step-by-step explanation:
Lcm
x(x-1)(x+1)
x(x²-1)
x³-x
Use a pythagorean triple to the lengths of the hypotenuse of a right triangle if the legs have lengths of 20 units and 48 units
Answer:
52 units.
Step-by-step explanation:
Use the Triple 5-12-13
20 / 4 = 5
48/ 4 = 12
So the hypotenuse = 4 * 13 = 52.
The lengths of Hypotenuse 52 units.
What is Pythagoras Theorem?The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.
Given:
The measurement of two sides are 20 units and 48 units.
Now, Using Pythagoras theorem
H² = P² + B²
H² = 20² + 48²
H² = 400 + 2304
H² = 2704
H = 52 units.
Hence, lengths of Hypotenuse 52 units.
Learn more about Pythagoras theorem here:
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In psychological theory, there are 66 types of basic instincts in a human being, and personality is determined by the presence or absence (2(2 choices) of these 66 basic instincts. How many different types of personalities can be identified
Answer:
2145
Step-by-step explanation:
Given that:
Number of basic instincts present = 66
Number of choices = 2
Using combination :
nCr = n! / (n - r)! r!
66C2 = 66! / (66 - 2)!2!
66C2 = 66! / 64!2!
66C2 = (66 * 65) / 2
66C2 = 2145 different personalities
I'm tripped up on this question... Can someone help?
A technician can test video player chips at the rate of -3t^2+16t+5 chips per hour
(for 0 ≤ t ≤ 6), where t is the number. of hours after 9:00am. How many chips can be. tested between 11:00am to 3:00pm? (Assume t=0 for 9:00am)
Show work
Answer:
68 Chips
Step-by-step explanation:
On the picture above, I was confused about t=0 and 9am which one I will put in , but I tried to help you to get the right answer.
100 points!
Can someone help me? Here are the choices
- associative property of addition
- associative property of multiplication
- commutative property of addition
- commutative property of multiplication
- distributive property
what i sthe answer to 6a+5a-b-5b+2a
Answer:
13a-6b
Step-by-step explanation:
Answer:
13a - 6b
Step-by-step explanation:
combine like terms:
6a+5a-b-5b+2a
combine all the terms with the variable "a"
13a-b-5b
combine all the terms with the variable "b"
13a-6b
A craft show has an admission fee of $1.50 for children and $4.00 for adults. On Saturday 155 people came to the carnival and $520 was collected. How many children came to the craft show?
Much Appreciated <3
What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?
Answer:
Equation of line passing through ( 2,2) in point slope form is y-2=3 (x-2)
Step-by-step explanation: hop this helps you
Answer:
y=2x-1 is the answer in y=mx+b form.
The slope of the line that passes through (2.4) and (3,8)
Answer:
The slope is 4
Step-by-step explanation:
The slope is given by
m = ( y2-y1)/(x2-x1)
m = ( 8-4)/(3-2)
= 4/1
=4
If m ABC = 122°, and m
then m
Answer:
m < DBC = 51
Step-by-step explanation:
Looking at the picture, we know <ABD and <DBC make up <ABC. Knowing this, we can set up an equation like so, plug in the known values, and solve to find m<DBC:
[tex]m<ABC = m<ABD + m<DBC\\122 = 71 + m<DBC\\m<DBC = 122 - 71\\m<DBC = 51[/tex]
Solve the system of equations below
Answer:
The answer is B. (-7,-2)
Step-by-step explanation:
Multiply the first equation by 7,and multiply the second equation by -6.
7(−3x+6y=9)
−6(5x+7y=−49)
Becomes:
−21x+42y=63
−30x−42y=294
Add these equations to eliminate y:
−51x=357
Then solve−51x=357for x:
−51x=357 Divide both sides by -51
x=-7
Write down an original equation:
−3x+6y=9
Substitute−7forxin−3x+6y=9:
(−3)(−7)+6y=9
6y+21=9(Simplify both sides of the equation)
6y+21+−21=9+−21(Add -21 to both sides)
6y=−12
y=-2
Answer:
-7-2
Step-by-step explanation:
Answers:
A.y=-6x-3
B.x y
0 -1
4 -4
8 -7
12 -10
C.y=-3x+4
D.x y
-2 1
2 7
6 13
10 19
Please help
Answer:
y=-3/4x-3
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST!!!!!
Answer:
D
Step-by-step explanation:
For sure, it cannot be easily explained. Plus you need this answer now. CORRECT AND CHECKED!
Graph the functions on the same coordinate axis.
S f(x) = x + 1
1 g(x) = x² - 6x - 7
What are the solutions to the system of equations?
Select each correct answer.
(1, 2)
(6, 7)
(-1,0)
(-8, – 7)
(8,9)
Answer:
(-1,0) and (8,9)
Step-by-step explanation:
The solution will be obtained when f(x) = g(x)
Mathematically;
x + 1 = x^2-6x-7
x^2-6x-x-7-1 = 0
x^2-7x-8 = 0
x^2-8x + x -8 = 0
x(x-8) + 1(x-8) = 0
(x+1)(x-8) = 0
x = -1
x = 8
so let us get the f(x) and g(x) values
For x + 1
-1 + 1 = 0
8 + 1 = 9
Points are;
(-1,0) and (8,9)
7. Slips are drawn form a box containing 100 slips written with numbers 1 to 100. If three slips are
drawn one after the another with replacement, then the probability that first slip bears an even
number, second bears an odd number, third bears a perfect square number, is
a)1/100
b)1/25
c)1/45
d)1/40
Answer:
D
Step-by-step explanation:
We need the numbers of each before we can calculate the probability
Number of even numbers are 50
Number of odd numbers are 50
Number of perfect squares;
1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 and 100
10 perfect squares
Probability of selecting even = probability of selecting odd = 50/100 = 1/2
Probability of selecting a perfect square = 10/100 = 1/10
Thus, the probability of having the draws in the other stated in the question will be;
1/2 * 1/2 * 1/10 = 1/40
Look at this graph
What is the slope?
I’ll mark as brainiest!!!
Worth 18pts!!
Answer:
m = 2Step-by-step explanation:
Use two points on the graph to find the slope:
(40, 0) and (50, 20)The slope is:
m = (y2 - y1)/(x2 - x1)m = (20- 0)/(50 - 40) = 20/10 = 2Mr. Kaffey used a full 3-liter bottle of soda to fill two containers. He put 0.276 liter of soda in the first container. He put 0.92
liter of soda in the second container. How many liters of soda remained in the bottle?
Answer:
1.804 L
Step-by-step explanation:
Solve the equation and leave your answers as simplified 8-3x/2=5 fractions or as decimals
Answer:
8-3x/2= 5
=>-3x/2=5-8
=>-3x=-3×2
=>-x=-6/3
=>x=2
ILL GIVE BRAINLIEST
5 is 30% of what number
Answer:
16.67 I THINK
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
Martin used 1/3 of his inheritance to pay off the mortgage on his house and 3/5 of what was left to purchase a new automobile. How much was left from his total $30,000 inheritance after these two expenditures
Answer:
12,000
Step-by-step explanation:
Since 1/3 of 30,000 is 10,000, we are left with 20,000. 3/5th of 20,000 is 12,000.
The local school board wants to get parents to evaluate teachers. They select 100 parents and find that 89% approve of their child’s teacher
Answer:
Ok? Did you finished asking the question? Just in case, that is 89/100 or 0.89
Step-by-step explanation:
Here, Population: All parents, Sample: 100 parents and Parameter: Parents’ approval of teachers
What is sample space in probability?The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.
Given that, A local school board wants to get parents to evaluate teachers. They select 100 parents and find that 89% approve of their child’s teacher, here we need to find the population, sample and parameter of interest
So, as we see,
The population is the entire group that you want to draw conclusions about.
Therefore, the population here is = All parents
The sample is the specific group that you will collect data from.
Therefore, the sample = 100
The parameter is any characteristic that can help in defining or classifying a particular system.
Therefore, the parameter = Parents’ approval of teachers
Hence, we get Population: All parents, Sample: 100 parents and Parameter: Parents’ approval of teachers
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a-2=7 solve this question please
Answer:
A=9
Step-by-step explanation:
So basically, just think of "what" minus two equals seven. That'd be nine.
You can also look at it like 7 + 2= A
A=9
Adriana bought p packs of baseball cards. There are 4 cards in each pack. Write an expression that shows how many baseball cards Adrian a brought.
9514 1404 393
Answer:
4p
Step-by-step explanation:
Since there are 4 cards in each pack, the number of cards is 4 times the number of packs:
4p . . . . number of cards Adriana bought
Which system of equations is graphed below?
Answer:
Step-by-step explanation:
the red line looks like it's y = -3/4x +1
the blue line looks like it's y = x - 6
Maybe in the picture all the choices are not seen?
Mr. Lester's maximum heart rate is 180 beats per minute. When he exercises at the gym.
Mr. Lester's target rate is 60% of his maximum heart rate
Answer: 108
Step-by-step explanation: 60% of 180 is 108
Answer:
Write 60% as a rate per 100. -- 60% = 60/100
Write 60/100 as a decimal. -- 60/100 = 0.6
What is Mr. Lester's target heart rate? -- 0.6 (180) = 108 beats per minute
if you were to make a restaurant, and need 29 items, how much of each would you have?
Answer:
3 beverages, 5 appetizers, 8 entrees, and 4 desserts.
Step-by-step explanation:
I think you meant 20 items, so let's do that. To find 15% of 20, we multiply 20 by .15. This gets us 3. We repeat this with all the other numbers, using different decimals, of course. We get 3 beverages, 5 appetizers, 8 entrees, and 4 desserts. 3 + 5 + 8 + 4 is 20, so everything checks out.
Tyler answered 152 questions correct on his multiple choice history final and earned a grade of 76%. How many total questions were on the final exam?
Answer:
200 questions
Step-by-step explanation:
152 questions correct and earned 76%
so, 152/x = 76/100
x= 152*100/76
x=200
Hope this helps plz hit the crown :D
Please!!!!!! Answer These Plato Composites of Inverse Functions
there are 7 doctors and 27 nurses happy hill hospital.what is the ratio of doctors to nurses.Need it fast
Answer:
7/27
Step-by-step explanation:
do the doctor over nurses
Two 6-sided dice are rolled. What is the probability that the sum of the two numbers of the dice will be less than 6?
Answer:
I believe it would just be 5/6.
Step-by-step explanation:
In a six-sided dice, there are five numbers less than 6!
Step-by-step explanation:
sum of dice=1+2+3+4+5+6=21
sum of two sided dice=21(2)=42
sum of numbers less than 6=1+2+3+4+5=15
probability of two numbers less than 6=2/12=1/6
From his house, Tristan could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house. It is 6 miles from Tristan's house to his parents' house and a straight-line distance of 6.4 miles from his parents' house to his grandparents' house. How far is Tristan from his grandparents' house? If necessary, round to the nearest tenth.
Answer:
[tex]TG = 2.2[/tex]
Step-by-step explanation:
Represent Tristan's house with T, his grandparent's with G and his parents with P.
Such that:
[tex]TP = 6[/tex]
[tex]GP = 6.4[/tex]
Required
Find TG
To solve this, we make use of Pythagoras Theorem which is represented as:
[tex]GP^2 = TP^2 + TG^2[/tex]
Substitute values for GP and TP
[tex]6.4^2 = 6^2 + TG^2[/tex]
[tex]40.96 = 36 + TG^2[/tex]
Collect Like Terms
[tex]TG^2 = 40.96 - 36[/tex]
[tex]TG^2 = 4.96[/tex]
[tex]TG = \sqrt{4.96[/tex]
[tex]TG = 2.2[/tex] --- Approximated
Hence, the distance between Tristan ans his grandparent's house is 2.2 miles