Answer:
n/2 = 6n
Step-by-step explanation:
"quotient of n and 2" is n/2, and
"6 times n" is 6n
and so we get the final answer
n/2 = 6n
for In the given expression, calculate as indicated. Express your answer as a single polynomial in standard form. 4x^(3)-2x^(2)+9)-(6x^(2)-6x+5), what is the answer
Answer:
The polynomial in standard form is [tex]y = 14 + 6\cdot x - 8\cdot x^{2}+4\cdot x^{3}[/tex].
Step-by-step explanation:
A polynomial in standard fulfills the following condition:
[tex]y = \Sigma_{i=0}^{m}\,c_{i}\cdot x^{i}[/tex], [tex]\forall\,i\in \mathbb{N}[/tex], [tex]0 \leq i \leq m[/tex]
Let be [tex]y = (4\cdot x^{3}-2\cdot x^{2}+9)-(6\cdot x^{2}-6\cdot x + 5)[/tex], which is now handled algebraically:
1) [tex](4\cdot x^{3}-2\cdot x^{2}+9)-(6\cdot x^{2}-6\cdot x + 5)[/tex] Given
2) [tex](4\cdot x^{3}-2\cdot x^{2}+9) +(-1)\cdot (6\cdot x^{2}-6\cdot x + 5)[/tex] [tex](-1)\cdot a = -a[/tex]
3) [tex](4\cdot x^{3}-2\cdot x^{2}+9) +[(-1)\cdot (6\cdot x^{2})+(-6\cdot x)\cdot (-1)+5][/tex] Definition of substraction/Distributive property
4) [tex](4\cdot x^{3}-2\cdot x^{2}+9)+(-6\cdot x^{2}+6\cdot x + 5)[/tex] [tex](-1)\cdot a = -a[/tex]/ [tex](-a)\cdot (-b) = a\cdot b[/tex]
5) [tex]4\cdot x^{3}+ (-2\cdot x^{2}-6\cdot x^{2})+6\cdot x + (9+5)[/tex] Associative and commutative properties
6) [tex]4\cdot x^{3}-8\cdot x^{2}+6\cdot x + 14[/tex] Distributive property/Definition of addition
7) [tex]14 + 6\cdot x -8\cdot x^{2}+4\cdot x^{3}[/tex] Commutative property/Result
The polynomial in standard form is [tex]y = 14 + 6\cdot x - 8\cdot x^{2}+4\cdot x^{3}[/tex].
You want to surround the perimeter of a garden with 35 stones. You need to place a certain number of large and small stones, and for every large
stone, you want to use 4 small stones. Choose the correct equation to find the number of stones for each size. Then solve the equation
OAX + 4x = 35,7 large stones and 28 small stones
O B. X+5x = 35, 7 large stones and 28 small stones
O cx + 4 = 35, 4 large stones and 31 small stones
D. 4x = 35 + x 12 large stones and 23 small stones
Answer: A) x + 4x = 35; 7 large stones and 28 small stones
======================================================
Explanation:
x = number of large stones
4x = number of small stones
x+4x = total number of stones = 35
x+4x = 35 is the equation to solve
-----------
Let's isolate x
x+4x = 35
5x = 35
x = 35/5
x = 7 large stones are needed
4x = 4*7 = 28 small stones are needed
If you deposit $200 into a CD (Certificate of Deposit) with an interest rate of 1% for 3 years, how much simple interest will you earn after
THREE years?
O $1
$5
$6
$25
Answer:
$6
Step-by-step explanation:
A=P(1+i.n)
A=200(1+0.01.x 3)
A=206
Thus 206 - 200 = $6
You will earn $6 in interest.
The interest you will earn per year is:
= Interest rate x Amount deposited
= 200 x 1%
= $2
Because it is simple interest, you will earn the same amount of interest every year. In 3 years you will have:
= Interest per year x number of years
= 2 x 3
= $6
You will therefore earn $6 in interest.
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Convert 0.3185° to minutes and seconds
Answer:
Step-by-step explanation:
19 minutes and 16 seconds . because there are 60 minutes in every degree . and 60 seconds in every minute. so, if you take 0.3185 x 60 = 19.11 minutes . —-> 19.11 min. x 60 = 6.6 seconds .
so therefore the answer is 19 min. &’ 16 seconds ur welcome
Answer:
23 min 6 seg
Step-by-step explanation:
0,3185º =
0,3185*60 min = 23,1 min =
23 min + 1/10 de min
1/10 de min = 1/10 * 60 seg = 60/10 = 6 seg
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h=−16(t−14)2+49, where t is the time (in seconds) after he throws the marshmallow. What is the maximum height of the marshmallow? Enter your answer as the correct value, including units, like this: 42 meters Be sure to use the correct units from the context of the problem.
Answer:
49 ft
Step-by-step explanation:
h=−16(t−14)^2+49
The path of the marshmallow is an inverted parabola. It has symmetry with respect to its vertical axis.
We take the derivative of the height function.
dh/dt = -32(t - 14)
dh/dt = -32t + 448
We set the derivative equal to zero ti find the value of t corresponding to a maximum value of h.
-32t + 448 = 0
-32t = -448
t = 14
Maximum height occurs at t = 14 seconds.
h=−16(t−14)^2+49
t = 14
h=−16(14−14)^2+49
h = 49
Maximum height is 49 feet.
4V6+3v2
16
Simplified?
Answer:
195/8v or 24.375v
Step-by-step explanation:
need help i don't understand
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brad converted 5/11 to a decimal, and his result was repeating decimal. does this mean that the value is rational or irrational?
Answer: It means the value is rational
Step-by-step explanation:
Repeating decimals can be converted to fractions and rational numbers are numbers that can be expressed as a fraction but irrational numbers cannot be expressed as a fraction and neither does it terminate or repeat.
Raphael's Gym has a climbing wall that starts at the gyms basement, 9 feet above the ground level. The wall extends to 21 feet above the ground level. what is the total height of the climbing wall? Represent this situation with a number. Then, explain your answer.
Answer:
The total height of the climbing wall is 12 feet
Step-by-step explanation:
The given parameters are;
The star of the climbing wall = On the gym basement
The height of the gym's basement above the ground level = 9 feet
The height to which the wall extends above the ground level = 21 feet
The total height of climbing the wall = 21 - 9 = 12 feet
The start of the climbing wall is at the gym's basement level which is already 9 feet above the ground level, therefore, given the the height of the wall is 21 feet above ground level, with wall situated already at 9 feet above ground level which gives the total height of the climbing wall will be 21 - 9 feet or 12 feet.
Which of the following expressions are equivalent to -8-(-1) - 5
Answer:
-12
Step-by-step explanation:
1. True or False: An equation is a statement that two expressions are equal. 1 point
True
False
Answer:
Its true.
Step-by-step explanation:
An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement.
Mel divided dozens of cookies between 7 classrooms, each
received two dozen. If she had 216 cookies to begin with,
how many dozens did she have left after dividing them up?
Pls help me
Answer:
4 dozen(48)
Step-by-step explanation:
216/dozen(12) =18 dozen(12)
7x2 dozen = 14 dozen
18 dozen - 14 dozen = 4 dozen(48)
Answer:
4
Step-by-step explanation:
Two dozens = 12 × 2 = 24
24 × 7 = 168
216 - 168 = 48
48 ÷ 12 =4
At lunchtime, a cafeteria served a total of 3/8 of a pot of chicken soup and 7/8 of a pot of
onion soup. How many pots of soup were served in all?
Write your answer as a fraction or as a whole or mixed number.
pots
Submit
The total number of pots will be 1¹/₄.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that at lunchtime, a cafeteria served a total of 3/8 of a pot of chicken soup and 7/8 of a pot of onion soup.
The total number of pots will be calculated as:-
E = 3/8 + 7/8
E = 10 / 8
E = 5 / 4
E = 1¹/₄
Hence, the total number of pots will be 1¹/₄.
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I need to find #1 and #2
Answer:
1. Angle f and s are supplementary angles, which is equal to 180, so we will: 180-35= 145
So angle f= 145 (degrees)
Angle Q= 180-49 (supplementary angles)
So angle Q= 131
I'm so sorry but I do not know the answer of Q2
I tried.
write the numbers in order from least to greatest (square root of 10) (3) (5.3)
Answer:
3, square root of 10, 5.3
Number between 250 and
350. It’s square root is an integer
Answer:
256, 289, 324.
Step-by-step explanation:
256, square root is 16.
289, square root is 17.
324, square root is 18.
On Tuesday, a local hamburger shop sold a combined total of 258 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday?
Answer:
516
Step-by-step explanation:
Step 1:
258 × 2 = 516
Answer:
516
Hope This Helps :)
What is the product written in scientific notation? (1.18×10^3)⋅(9.1×10^−6)
Answer:
1.0738 x 10^-2
Step-by-step explanation:
Henry can paint a small house in 3 days, Ruby can paint a small house in 4 days, and Charlie can paint a small house in 5 days. How long will it take for Henry, Ruby and Charlie to paint one small house together? Give your answer as a fraction.
Answer:
So it will take them 1 day 6 hours and 39 minutes to paint one small house.
Step-by-step explanation:
Henry can paint 1 small house in 3 days so he can paint 1/3 or .3333 in a day
Ruby can paint 1 small house in 4 days so she can paint 1/4 or .25 in a day
Charlie can paint 1 small house in 5 days so he can paint 1/5 or .2 in a day
Together, that means they pain .3333 + .25 + .2 of a house per day. That's an daily rate of:
.3333 + .25 + .2 = .78333
The portion of the house they clean in x days is .78333x. We'd like to know how long it will take them to paint 100% or 1 of the house. So:
.78333x = 1 Divide each side by .78333
x = 1/.78333
x ≈ 1.277
Let's convert .277 to hours by multiplying by 24
.277 * 24 = 6.65
Let's convert .65 to minutes by multiplying by 60
.65 * 60 = 39
So it will take them 1 day 6 hours and 39 minutes to paint one small house.
Answer:
1.277 days
Step-by-step explanation:
H paint .3333 a day R paint .25 a day Charlie paint .2 a day
.3333 + .25 + .2 = .78333
x is number of days to paint.
.78333x = 1
x = 1/.78333 = 1.277
1.277 days
2
Lena tutors chemistry. For each hour that she tutors, she earns 30 dollars.
Let E be her earnings (in dollars) after tutoring for H hours.
E
Write an equation relating E to H. Then use this equation to find Lena's earnings after tutoring for 19 hours.
Equation:
x
5
?
Lena's earnings for 19 hours: I dollars
Answer:
[tex]E = 30 \times H[/tex]
$570
Step-by-step explanation:
Given that:
For each hour of tutoring, Lena earns 30 dollars.
E is her earning and
H is the number of hours for which she tutors.
To find:
Equation relating E to H.
Solution:
Let Lena tutors for 1 hour, then the earning = 30 dollars
Let Lena tutors for 2 hours, then the earning = 30+30 OR 2[tex]\times[/tex]30 = 60 dollars
Let Lena tutors for 3 hours, then the earning = 30+30 +30 OR 3[tex]\times[/tex]30 = 90 dollars
If Lena tutors for H number of hours, then the earning, E = 30 + 30 + .... + 30 (H times) i.e.
[tex]E = 30 \times H[/tex]
So, the equation that relates E to H is given as:
[tex]E = 30 \times H[/tex]
Now, it is given that she tutors for 19 hours.
Let us put H = 19 hours in the above equation:
[tex]E = 30 \times 19 \\\Rightarrow E = \$570[/tex]
Therefore, the earning for 19 hours of tutoring is 570 Dollars.
If:
AC = 64,
AB = 72 +8, and
BC = 3.2 + 6.
Find BC.
Answer:
21
Step-by-step explanation:
Step 1:
10x + 14 = 64
Step 2:
10x = 50
Step 3:
50 ÷ 10
Step 4:
x = 5
Step 4:
15 + 6
Answer:
21
Hope This Helps :)
Answer:
7x+8+3x+6=64
10x+14=64
10x=50
X=5
BC=3 x 5+6= 21
find the mean of -4,-3,-1,-1,0,1
Answer: -1.3
Step-by-step explanation:
The mean is their average so add them up and divide it by the number of values.
(-4) + (-3) + (-1) + ( -1) + (0) + (1) = -8
-8/6 = 1.333....
2p+1÷5p+6 =1÷7 whats the answer
Answer:
The result can be shown in multiple forms.
Exact Form:
p= - 13/19
Decimal form:
p= - 0.68421052...
What is f(g(13)) A. 16 B. 26 C. 32 D. The function is undefined
Answer:
Answer is 32 i have no idea why
Can someone help me please
Answer:
C
Step-by-step explanation:
I took the test
hope this helps you :)
if 4% of packages get lost in the mail, then which decimal best represent the amount of packages lost in the mail?
Answer:
.04
because 4% of 100 is 4
A bag of marbles contains 6 bluemarbles, 2 yeloow marbles, 4 red marbles, and 1 green marble. What is the [robability of reaching into the bag and selecting a yellow marble?
Answer:
The probability of picking a yellow marble is 2/13
Step-by-step explanation:
First of all, we need to know the total number of marbles that are in the bag. To do this, we will have to add up all the marble colors together.
This will give us 6 + 2 +4+ 1 = 13 marbles in total.
The next step is to find the number of yellow marbles in the bag.
We can get this from the question. There are 2 yellow marbles in the bag.
The probability of selecting a yellow marble can be obtained by dividing the number of yellow marbles by the total number of marbles in the bag
This will give us 2/13.
Therefore, the probability of picking a yellow marble is 2/13
If two point lie in the same plane, then a line containing the lies in the plane. Illustrate.
Answer:
tom
Step-by-step explanation:
You have four quiz grades. Quiz 1: 17/30, Quiz 2: 17/25, Quiz 3: 38/50, Quiz 4: 18/25 What is your ordinary quiz average?
What is your weighted quiz average?
Answer:
.7 or 70%
Step-by-step explanation:
17/30 + 17/25 + 38/50 + 18/25 = 2.727
2.727 divided by 4 (the amount of addends) = .7
Answer:
68%
Step-by-step explanation:
To find the average quiz grade, you have to add up all the percentages and divide by the numbers of scores you have.
56 + 68 + 76 + 72 = 272
272 ÷ 4 = 68
Hope this helps! <3
1/3 x (15+6) i tried finding the answer but i have no idea
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{7}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{1}{3} \times (15 + 6)}[/tex]
Add the numbers : 15 and 6
[tex] \dashrightarrow{ \sf{ \frac{1}{3} \times 21}}[/tex]
Multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term
[tex] \dashrightarrow {\sf{ \frac{1 \times 21}{3 \times 1}}} [/tex]
[tex] \dashrightarrow{ \sf{ \frac{21}{3} }}[/tex]
[tex] \dashrightarrow{ \sf{7}}[/tex]
Hope I helped!
Best regards! :D
The value of Expression 1/3 x (15+6) on simplification gives 7.
To simplify the expression 1/3 x (15+6),
we start by simplifying the addition inside the parentheses.
=15 + 6
= 21
Now, we can multiply the result by 1/3:
= 1/3 x 21
= 21/3
= 7
Therefore, 1/3 x (15+6) simplifies to 7.
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