Step-by-step explanation:
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What is the prime factorization of 81?
Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number, like 17.
Answer:
[tex]3^{4}[/tex]
Step-by-step explanation:
81
27 3
9 3
3 3
3*3*3*3 = [tex]3^{4}[/tex]
g(b)=5b-9
h(b)=(b-1)^2
(h*g)(-6) = ???
[tex](h \times \: g)(b) = (b - 1)^{2} (5b - 9) \\ = ( {b}^{2} - 2b + 1)(5b - 9) \\ = 5 {b}^{3} - 19 {b}^{2} + 23b - 9[/tex]
[tex](h \times \: g)( - 6) = 5( - 6) ^{3} - 19( { - 6}^{2}) + 23( - 6) - 9 \\ = 5( - 216) - 19(36) - 138 - 9 \\ = - 1080 - 684 - 138 - 9 \\ = - 1911[/tex]
I hope I helped you^_^
The value of function (h·g)(b) for x=-6 is -867.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are g(b)=5b-9 and h(b)=(b-1)².
Now, (h·g)(b)=h(b)×g(b)
= (b-1)²×5b-9
= (b²-2b+1)×(5b-9)
= b²(5b-9)-2b(5b-9)+1(5b-9)
= 5b³-9b²-10b²+18b+5b-9
= 5b³-10b²+23b-9
Now, (h·g)(-6)
= 5(-6)³-10(-6)²+23(-6)-9
= -1080+360-138-9
= -867
Therefore, the value of function (h·g)(b) for x=-6 is -867.
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In a single throw of two coins,find the probability of getting each of the following:-)
i.)Tails on both
ii)Tails at least on one
iii)Tails on one
iv)No tails
Should be answered by:-)
moderates
brainly stairs
other best users
Step-by-step explanation:
1.) two tails :
total no. of outcomes possible is TT,TH,HT,HH
no. of outcomes with TT is 1
p( tails on both) = 1/4
2.) tails at least one:
no. of outcomes with one tails atleast is 3 (TT,th,ht,)
p( atelast one tails) = 3/4
3.) tails on one
no. of outcomes with one tails at most is 2 (th,ht)
p( atmost one tails) is 2/4= 1/2
4. no tails
no. of outcomes with no tails is 1(HH)
p( no tails) = 1/4
hope it's understandable.
Answer:
1.) two tails :
total no. of outcomes possible is TT,TH,HT,HH
no. of outcomes with TT is 1
p(tails on both) = 1/4
2.) tails at least one:
no. of outcomes with one tails atleast
is 3 (TT,th,ht,)
p(atelast one tails) = 3/4
3.) tails on one
no. of outcomes with one tails at most is 2 (th,ht)
p(atmost one tails) is 2/4= 1/2
4. no tails
no. of outcomes with no tails is 1(HH)
p(no tails) = 1/4
In a sample of 600 college students, 87.2% said they graduated from high school. How many of the students graduated from high school?
Answer:
523.2 students
Step-by-step explanation:
87.2%×600=523.2 students
Answer:
523.2
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
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Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
Answer: -1, 13
Step-by-step explanation:
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Midpoint formula: (x2 + x1)/2, (y2 + y1)/2
(-6 + 4) / 2, (14 + 12) / 2
(-2) / 2, 26 / 2
(-1, 13)
A submarine that is already at 605 feet below sea level ascends (rises up) 475 feet before descending (sinking down) another 255 feet.
Answer:
-350ft
Step-by-step explanation:
so basically 605 is negative and 255 is a negative then you add those two then it would be -860 then you subtract the positive 475 and that will equal -350
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
6,2,2/3….
Find the 8th term.
Answer:
Just divide 2/3 by 3 (or multiply by 1/3), 6 times to get the answer.
Write a variable expression to represent the phrase. The difference of a number and 1
Answer:
[tex]x-1[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] represent "the number".
The difference of a number and 1
⇒ [tex]x-1[/tex]
I hope this helps!
4.
For which discriminant is the graph possible?
A. b2 – 4ac = 0
B. b2 – 4ac = 6
C. b2 – 4ac = –2
Answer:
A. b2 – 4ac = 0
Step-by-step explanation:
Hey user☺☺
Option a is correct
Because the graph has only one solution.
As the graph touches the x-axis at one point that means that it will have only one solution for x. But we know that a quadratic equation has two solutions. So the graph will have two equal solution and therefore the discriminant will be 0.
Hope this will help☺☺
what’s the equivalent multiplication statement to 9 divide 1/11
f(x) = (x + 1)(x - 5). What is the vertex?
(1,5)
(5.1)
(2.-9)
(-9,2)
Answer:
(2, -9)
Step-by-step explanation:
f(x) = (x + 1)(x - 5)
[tex] =f(x) = {x}^{2} - 5x + x - 5[/tex]
[tex] = f(x) = {x}^{2} - 4x - 5[/tex]
[tex] = f(x) = {1x}^{2} - 4x - 5[/tex]
[tex] = f(x) = {1x}^{2} + ( - 4x) - 5[/tex]
= a = 1, b = -4
[tex] = x = \frac{ - 4}{2 \times 1} [/tex]
[tex] = x = - \frac{ - 4}{2} [/tex]
[tex] = x - ( - 2)[/tex]
[tex] = x = 2[/tex]
= f(x) = (x + 1) x (x - 5); x = 2
= f(2) = -9
= (2, -9)
pq + 4; use p=4, and q = 4
Answer:
20
Step-by-step explanation:
pq + 4
Given:
p = 4
q = 4
We plug the numbers in:
pq + 4
4(4) + 4
16 + 4
20
The answer you are looking for is 20.
Since p=4 and q=4,
Therefore,
pq+4
Substitute each of the given values of the variables,
(4)(4)+4
16+4
20
PLEASE HELP
Seven more than the quotient of a number and 5 is equal to 4.
Use the variable b for the unknown number.
Answer:
7 + b/5 = 4
OR
b/5 + 7 = 4
Step-by-step explanation:
also, b = -15
In which of the following pairs of numbers is -6 larger than the first number, but smaller than the second number?
Answer:
-7, -6, -5
Step-by-step explanation:
-7 < -6
-5 > -6
-7 < -6 < -5
janessa is playing a board game with two friends. using a single die, one friend rolled a four, and the other friend rolled a three. janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. Is the probability of Janessa winning an independent event or dependent event
Answer:
It is a dependent event, because it depends of the number she'll get rolling the die
5x+2
2x
Perimeter:
PLEASE HELP
Answer:
14x + 4
Step-by-step explanation:
The perimeter of a rectangle is the sum of all its sides. The rectangle have two sides with length 5x + 2, so:
(5x + 2)×2 = 10x + 4
And it also have two sides with length 2x, so:
(2x)×2 = 4x
And now just add it:
10x + 4 + 4x = 14x + 4
Answer: Perimeter = 14x + 4
Concept:
Here, we need to know how to find the perimeter of a rectangle.
Perimeter (rectangle) = 2 (l + w)
l = length
w = width
If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
Given information
l = 5x + 2
w = 2x
Given expression
Perimeter = 2 (l + w)
Substitute values into the expression
Perimeter = 2 (5x + 2 + 2x)
Combine like terms
Perimeter = 2 (7x + 2)
Expand parentheses and apply the distributive property
Perimeter = 2 · 7x + 2 · 2
Perimeter = 14x + 4
Hope this helps!! :)
Please let me know if you have any questions
In the figure, ABFG and CDEF are two
10
parallelograms such that the sum of their areas is
702 cm². If AB = CD = EF = FG =
BC , find the
area of the shaded region.
G
F
E
+
Answer:
[tex]A_{BCF}[/tex] = 351 cm²
Step-by-step explanation:
graph of f(x)= -3x*2+12and g(x)=mx+6
Answer:
see the picture
Step-by-step explanation:
hope it helps you
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Solve the inequality for v. 40 ≤ 4v
please will mark brainiest.
Hi ;-)
[tex]40\leq4v\\\\4v\geq40 \ \ /:4\\\\v\geq10\\\\\huge\boxed{v\in\langle10;+\infty)}[/tex]
Answer:
[tex]v\geq 10\\[/tex]
Step-by-step explanation:
Divide both sides by 4.
Flip
is 5/3 an integer?
Answer:
No!
Step-by-step explanation:
An integer is a a whole negetive number. A few examples are 4, -4, or even 4/4.
Which expression is equivalent to -0.62u+u+ 0.89u?
0.51u
Ou + 0.27
Submit Answer
1.27u
O 1+ 0.27
Answer:
[tex]⚪ \: \: 1.27 \: u[/tex]
Step-by-step explanation:
[tex] - 0.62u + u + 0.89u \\ = ( - 0.62 + 1 + 0.89)u \\ = 1.27u[/tex]
Yolanda has 3/4 of a cup of sugar. This is 3/5 of what she needs. How much sugar does Yolanda need?
Show your reasoning.
Answer:
[tex]1\frac{1}{4}[/tex] cups
Step-by-step explanation:
1. Info we have3/4=3/5
2. Solving3/4*1/3=3/5*1/3
1/4 = 1/5
1/4*5=1/5*5
5/4=5/5
5/4= 1 and 1/4 cups
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~~ SUMMER ~~
2. Shelby and her two friends have 2 pies left after the bake sale after
school. They divide the pies evenly among themselves. How much pie did each
student receive?
Answer:
.67
Step-by-step explanation:
There are three friends and two pies. You are splitting the pies not the people so you divide 2 by 3 to get 0.66666667. Meaning each girl got .67 or around 6/10 of a pie.
f(x) = x − 7 and g(x) = x2 find f(g(−1))
Answer:
g (-1) = (-1)² = 1
f(g(-1)) = f(1)
f(1) = 1 - 7 = -6
9. Tobias ran 3 miles. How many millimeters did he run? (1 mile = 1,610 meters)
Welcome to Brainly! I'm happy to help!
We see that there are 1,610 meters in a mile. However, we are looking for millimeters, not meters. But, knowing the meters will help us out.
A millimeter is a very small measurement. There are 1,000 millimeters in 1 meter. A meter is much larger. So, if we want to convert 1,610 meters to millimeters, there are going to be way more millimeters because they are so minute.
This means that we will have to multiply. We know that there are 1,000 millimeters in 1 meter, so if we multiply our meters by 1,000 (which is basically just adding 3 zeros), we will get the number of millimeters in one mile!
1,610×1,000=1,610,000 (one million six hundred and ten thousand!)
Don't forget that we are looking for 3 miles though, so we can take the number of millimeters in one mile and multiply by three.
1,610,000×3=4,830,000 (four million eight hundred and thirty thousand!)
So, Tobias ran 4,830,000 millimeters!
Have a wonderful day and keep on learning! :D
Which equation represents a line which is parallel to the y-axis?
x = 6
O y = -1
Submit Answer
O x = 4y
Oy= 2 +1
PLS HELP ASAP
Answer:
x=6
Step-by-step explanation:
when there is no 'y' in equation, the line is always
parallel to y-axis
What is the value of -2/3 x (-1/4)x(-24/4)
Answer:
-1
Step-by-step explanation:
Ju Chan solved the previous question by finding the expression 4(-15).
Which problem would give the same result? Select two options.
Answer:
-15(4) or -4(15) or 15(-4)
Step-by-step explanation:
As long as you stick with the same variables, you can change their position in the equation or change both of their signs. This should give you the same answer.
Let's say your equation was -2(6). This means you must multiply -2 and 6. This should give you -12. You could also phrase it as 2(-6) or -6(2) or 6(-2). They all give you -12 as a result.
Answer:
(-1)(15+15+15+15)
(-15)+ (-15)+ (-15)+ (-15)
Step-by-step explanation:
Help with geometry please
Suppose the average yearly salary of an individual whose final degree is a master's is $50 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $124 thousand. Find the average yearly salary of an individual with each of these final degrees.
Bachelor's degree salary = $53000
Master's degree salary = $66000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = x
Salary of Master's degree holder = 2x - 40000
Master's salary + bachelor's salary = $119,000
Hence,
Master's salary + bachelor's salary = 119,000
2x - 40000 + x = 119,000
3x = 119000 + 40000
3x = 159000
x = 159000 / 3
x = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2x - 40000 ; 2(53000) - 40000 = $106,000 - $40,000 = $66000
The average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
Let, the average yearly salary of an individual with a bachelor's degree as "B" and the average yearly salary of an individual with a master's degree as "M".
According to the information given:
The average yearly salary of an individual with a master's degree is $50 thousand less than twice that of an individual with a bachelor's degree:
M = 2B - $50,000
The combined yearly salaries of two people with each of these educational attainments earn $124 thousand:
B + M = $124,000
Now we can solve this system of equations to find the values of B and M.
Substitute the value of M from the first equation into the second equation:
B + (2B - $50,000) = $124,000
3B - $50,000 = $124,000
Now, solve for B:
3B = $174,000
B = $174,000 / 3
B = $58,000
Substitute the value of B back into the first equation to find M:
M = 2B - $50,000
M = 2 * $58,000 - $50,000
M = $116,000 - $50,000
M = $66,000
So, the average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
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