Answer:
A. −3x⁵ + 4x³ + 10x²Step-by-step explanation:
The standard form means that the terms are ordered from biggest exponent to lowest exponent.Verify the answer options
A. −3x⁵ + 4x³ + 10x²
5, 3, 2 - correct orderB. −8x + 4x⁴ + 3x³
1, 4, 3 - incorrect orderC. x⁴ + 4x³ + 10x⁴
4, 3, 4 - incorrect orderD. x⁶ + 4x³ + 10x⁷
6, 3, 7 - incorrect orderAnswer:
[tex] { - 3x}^{5} + {4x}^{3} + {10x}^{2} [/tex]
Step-by-step explanation:
For a polynomial to be in standard form, it must satify the conditions below:
1) It must not contain like terms
2) The exponents (powers) must be written in descending order
That is, the polynomial must be of the form
[tex]f(x) = {ax}^{n} + {bx}^{n - 1} + {cx}^{n - 2} + . \: . \: . \: . \: . \: mx + n[/tex]
Where a, b, c, m, n, are coefficients/constants
The only option that satifies the above conditions, and follows the pattern f(x) shown is:
[tex]{ - 3x}^{5} + {4x}^{3} + {10x}^{2} [/tex]
What are some real-world scenarios for the Pythagorean theorem?
Answer:
There are loads, but for example you can find the diagonal from a lamppost the the end of its shadow if you know the height of the post and the length of the shadow.
Hope I helped x
Colin invests £1100 into his bank account.
He receives 5% per year simple interest.
How much will Colin have after 3 years?
Give your answer to the nearest penny where appropriate.
£
Answer:
Colin will have $1,265 after three years.
Step-by-step explanation:
First, we find the amount of interest Colin will have by using the following formula,
simple interest = principal * interest rate * time
now that we know the formula, we substitute the numbers in.
simple interest = $1,100 * 5% * 3
since the interest rate is obviously a percentage, we have to convert it into a decimal.
simple interest = $1,100 * 0.05 * 3
now that it is a decimal, we can solve this expression.
simple interest = $1,100 * 0.05 * 3
simple interest = $55 * 3 (here, we did $1,100 * 0.05 first so that it doesn't get confusing with all the numbers, it will be easier with two final numbers)
simple interest = $165
Colin has $165 simple interest but over here asks how much she will have AFTER 3 years. think about it, can you have $165 after having $1,100 in your bank AFTER 3 years? no, so we need to add the interest by the principal by using the following formula,
total amount = principal + simple interest
now, we substitute the numbers in.
total amount = principal + simple interest
total amount = $1,100 + $165
total amount = $1,265
Therefore, Colin will have $1,265 after 3 years.
(x+2)(x-3)
(x+2)(x-3)
Answer:
x² - x - 6
Step-by-step explanation:
Given
(x + 2)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 2(x - 3) ← distribute parenthesis
= x² - 3x + 2x - 6 ← collect like terms
= x² - x - 6
Answer:
[tex]x^{2} -x-6[/tex]
it's quadratic
for what value of q is in the question -13(q+4)=7q+16
Answer:
q=-3 2/5
Step-by-step explanation:
First multiply -13 with (q+4)
-13q-52=7q+16
Now you have to change the order before = the numbers with q and after = the numbers without anything
-13q-7q=52+16
Remember that when you change positions the symbol too
Then solve it
-20q=68
Now u have to divide as i do
q=68/-20
you can simplify it
q=3 8/-20
Now divide by the greater divisor in this case is 4
q=3 2/-5
And organize it
q=-3 2/5
Never forget to do q=(answer)
Hopefully it helps.
A political scientist asked a group of people how they felt about two political policy statements. Each person was to respond A (agree), N (neutral), or D (disagree) to each policy statement. a. Describe the sample space; that is, list all possible response combinations to the two statements. __________________________________________ b. Assuming each response combination in part (a) is equally likely, what is the probability the person being interviewed agrees with at least one of the two policy statements
Answer:
Sample space = (AA, AN, AD, NA, NN, ND, DA, DN, DD) ;
0.556
Step-by-step explanation:
Given :
Possible outcome of each policy statement = (A, N, D)
Number of statements = 2
Sample space = 3² = 9
Sample space = (AA, AN, AD, NA, NN, ND, DA, DN, DD)
Probability that a person agrees with atleast one of the 2 policy statements :
Probability = required outcome / Total possible outcomes
Required outcome = (AA, AN, AD, NA, DA) = 5
HENCE, P(person agrees with atleast one of the 2 policy statements) = 5 /9 = 0.556
please help me?
John has $13. She saves $3 every day. How many days will it take John to save $28?
Answer:5 days
Step-by-step explanation:
13+3=16
16+3=19
19+3=22
22+3=25
25+3=28
HELP ME PLEASE!
1. Make up an equation that has no solution and explain what that means. (Hint: It has to be a real explanation, not just "it doesn't work").
2. Identify the terms, like terms, coefficients, and constants in the expression.
-3a + 9c - 7c + 4 + 10a
Answer:
1. 2x+7=2x+2 (would eventually get 7=2 which isn't true
2. like terms would be -3a and 10a, 9c and -7c, and 4 is by itself----coefficents would be the number before a varible so -3, 9, -7, and 10------finally the constants would be the numbers by itself so 4
(if you simplify this equation it would be 7a + 2c + 4 since you're combining like terms)
Step-by-step explanation:
1. An equation with no solution means that after simplification you determine it isn't possible this would be things like 2=7 or 1=3 which just aren't true so since they aren't a real equation they are labeled as "no solution" (P.S. if you don't know what infinetly many solutions is eithier it's basically when you have an equation that results in an answer like 0=0 or 5=5 where we know that it is true but I't doesnt give a real value for any of the variables so their are infinite possibilities for the variables value)
2. Like terms - terms that share a common variable (or lack therof) so if you had two numbers with the variable "a" after them you could combine them and the same applies with whole numbers so you could add -5 and 7 together
Coefficeints - basically just the variable in an equation so a value like "x" or "a" that comes after a number
Constants - Any number not followed by a varible so any whole number really for example in 4x+3=5 the 3 and 5 would be considered constants as they are real numbers
Find the value of x so that the ratios 8: x and 12: 18 are equivalent.
Answer:
I could be wrong, but I think it's x=12
Answer:
Step-by-step explanation:
First let's set this into a proportion:
[tex]\frac{8}{x}=\frac{12}{18}\\144=12x\\12=x[/tex]
Hope this helps
What is the mode of these numbers, 4,9,3,9,3,3
A cone has a diameter of 10 inches and a depth of 20 inches. If you use the formula V=13πr2h to find the volume, will your answer be ≈523.6 inches3?
Please help
Answer:
Yes, the answer would be 523.6
Step-by-step explanation:
Formula for Volume of a cone:
V = πr²(h/3)
r = d/2
10/2
r = 5
V = πr²(h/3)
V = π(5²)(20/3)
V = π(25)(20/3)
V = 523.6
What's the length of an arc with a central angle of 100° and a radius of 2 inches?
Answer:
3.49 inches
Step-by-step explanation:
circumference = 2(2)(π) = 12.56 inches
(100/360)(12.56) = 3.49 inches
what is thisssssssss
Answer:
it is a game
Step-by-step explanation:
How would the following triangle be classified?
Answer:
scalene acute is the answer
Need help with the answer please and thank you
Answer:
Median is 5
Mode is 1
Range is 8
Mean is 4.7
Step-by-step explanation:
how many square metre of carpeting are needed to cover a floor that measures 8m by 5m
Answer:
40 meters squared
Step-by-step explanation:
8 * 5 = 40
Determine the length of line segment AC
Answer:
9
Step-by-step explanation:
Answer:
AC = 15 units
Step-by-step explanation:
Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{AB}{BC}[/tex] = [tex]\frac{AD}{DC}[/tex] , substitute values
[tex]\frac{12}{18}[/tex] = [tex]\frac{6}{x}[/tex] ( cross- multiply )
12x = 108 ( divide both sides by 12 )
x = 9
Then
AC = 6 + 9 = 15 units
10 POINTS PLEASE HURRY
Answer:
Since there are an infinite number of lines through the center, the circle has an infinite number of lines of symmetry. When the circle is folded over a line of symmetry, the parts of the circle on each side of the line match up. This means that the parts of the circle on each side of the line must have the same area.
Step-by-step explanation:
These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two yellow marbles if the first one is placed back in the bag befroe the second draw 2 yellow marbles,3 pink marbles, 5 blue marbles
Answer:
1/25
Step-by-step explanation:
Given :
Let :
Y = yellow marbles
P = pink marbles
B = blue marbles
Y = 2 ; P = 3 ; B = 5
Note : selection is done with replacement :
Probability = required outcome / Total possible outcomes
Total possible outcomes = (2+3+5) = 10
Probability of drawing 2 yellow marbles :
First Draw : P(yellow) = 2 /10 = 1/5
Second draw: P(yellow) = 2/10 = 1/5
Probability of drawing 2 yellow marbles :
1/5 * 1/5 = 1 /25
V= u +at U=2 A=-5 T=1/2 Work out the value of v
Answer:
v =-1/2 hope it may help u
Step-by-step explanation:
v =u+at
v=2 -5/2
v=4-5/2
v=-1/2/2
Answer:
Step-by-step explanation:
Given
u = 2 , a = - 5 t = 1/2
Now
v = u + at
= 2 + (-5) * 1/2
= ( 4 - 5) /2
= - 1/2
Which pair of expressions is equivalent?
2.
A
7 2 12
and
12 3
5
B
4
3
and
12
4
12
0
7
12
4 7
and
12
܀
5
4
D
2
5 2.
and
12 5
5
12
Answer:
B
Step-by-step explanation:
sorry if i am wrong
Find the polygon that is similar to ABCD.
Pwease help me <3 Have a great day y’all!
A. 71
B. 88.5
C. 90.5
D. 92
Answer:
92
Step-by-step explanation:
Because 92 occurs the most and some of the numbers aren't even there.
Pleaseeee help I will give BRAINLIEST I don’t understand.
Answer:
A
Step-by-step explanation:
To find volume you multiply lwh
Answer:
2400 [tex]$cm^3$[/tex]
Step-by-step explanation:
From the triangle on the left, we can see that height is 15cm and from the triangle on the right, we can see that base is 8cm of the triangle, as both triangles are identical. So the area of the triangle is,
[tex]b = 8 cm\\h = 15cm[/tex]
[tex]A = \frac{1}{2}bh\\= \frac{1}{2}\times8\times15 cm^2\\= 60 cm^2[/tex]
The area of the prism should be the length of the prism times the area of the triangle. So it is [tex]60 cm^2 \times 40 cm = 2400 cm^3[/tex]
I need help on this and the person who answer this correctly gets a BRANLIST(answer if you know)
What is 23% of 26? help pls
Answer:
5.98
Step-by-step explanation:
Answer:
5.98
Step-by-step explanation:
The bases on a baseball diamond are 90 feet apurt John anding on 2nd base and throws a ball to Sam who is standing exactly halfway between 3rd base and home plate. How far must John throw the ball to get to Sam set up an equation and solve, rounding your answer to the nearest hundredth
Answer:The bases on a baseball diamond are 90 feet apart. how far is it from home plate to second base? - 4961702. ... so for a right triangle, when we've got legs a and b and hytponuse c then a²+b²=c² ... Form a triangle with vertices at home base, first, and second. Home to first ... Get more out of Brainly. See top ...
Step-by-step explanation:
Parallelogram Problem
Answer:
x=6, AB=13, y=10, AD=13, P=46
Step-by-step explanation:
3x-5=x+7
2x=12
x=6
AB: 3(6)-5= 13
2y-7=y+3
y=10
AD: 10+3=13
Perimeter= 13+13+10+10=46
What is the radius of the circle made by Ana’s brother in the blue car? Use 3.14 for tt and round your answer to the nearest tenth.
Answer:35.032
Step-by-step explanation:
Take 220/3.14=70.06
Divide by two to change diameter to radius and you get about 35.032
The radius of the circle made by Ana’s brother in the blue car is 35 feet.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
Blue circle:
The total distance around the blue track = 220 feet
This means,
Circumference = 2πr
220 = 2πr
r = 220/2 x 3.14
r = 35 feet
Thus,
The radius of the circle made by Ana’s brother in the blue car is 35 feet.
Learn more about Circle here:
https://brainly.com/question/11833983
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Rubin has 6 rolls of pennies containing 50 coins each, 5 rolls of nickels
containing 40 coins each, 4 rolls of dimes containing 50 coins each, and 3
rolls of quarters containing 40 coins each. How much money does he have?
• A. $17.50
B. $8.20
• C. $63.00
D. $68.40
Answer:
C, 63.00
Step-by-step explanation:
6*50=300
5*40=200, *5=1000
4*50=200, *10=2000
3*40=120, *25=3000
_________________
6300 cents
$63.00
{$63$}