9514 1404 393
Answer:
multiply their coefficients, use the base with the sum of exponents
Step-by-step explanation:
The coefficients multiply. The base gets an exponent that is the sum of the exponents of the factors.
(a·x^b)(c·x^d) = ac·x^(b+d)
_____
If you remember that an exponent is simply an indicator of the number of times the base is a factor, this should be fairly clear. The usual associative and commutative properties of multiplication apply.
Example
5x^2 · 7x^3= 5·x·x·7·x·x·x
= 5·7·x·x·x·x·x
= (5·7)(x^(2+3))
= 35x^5
Lisa made 42 gallons of cider over two days. She made twice as many gallons of cider on day two as she made on day one. How many
gallons of cider did Lisa make on day two?
Answer: 28
Step-by-step explanation:
First you divide 42 by 3 and get 14
14 times 2 is 28 and 14+28= 42
so Lisa made 14 gallons of cider on day one and 28 gallons on day two
If the radius of a circle is 5 inches, what is the diameter of that circle? Show
your work and label your answer.
Answer:
If the radius of a circle is 5 inches, the diameter is 10.
Step-by-step explanation:
This is because to find the diameter of a circle sing the radius is to multiply it by two. 5x2=10
So the diameter is 10. If you want to find the radius just reciprocate the process, divide the diameter by 2 and yo will get the radius.
I really hope this helped you out. Make sure to give my answer brainliest. Have a radiant day or night ! :D
2 pairs of shoes in their closet
Answer:
0.2Step-by-step explanation:
yall it literally says the probability LOL it has its own section, look at the numbers 2 and 20 and under them, the probabilty is spelled out for you :]
6
Show how to find the product 0.19 x 109.
Answer: 20.71
Step-by-step explanation:
The diameter of a circle measures 32 mm. What is the circumference of the circle? Use 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
100.48 ft
Step-by-step explanation:
Find parametric equations which describe each curve. No particular orientation is required.
a. The line containing the points (1, 2) and (-3,8).
b. The circle with radius 3 and center (4,1).
Answer:
The equation of the line is [tex](x(t),y(t))=(1-4t,2+6t)[/tex] and the equation of the circle is [tex]F(t)= (3cos(t)+4,3sin(t)+1)[/tex].
Step-by-step explanation:
(a) Given: The given points are [tex](1,2)[/tex] and [tex](-3,8)[/tex].
To find: The parametric equation of line containing points [tex](1,2)[/tex] and [tex](-3,8)[/tex].
We know that the parametric equation of line containing [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] is given by [tex](x(t),y(t))=(x_{1}+(x_{2}-x_{1})t,y_{1}+(y_{2}-y_{1})t)[/tex] where [tex]t[/tex]∈[tex][0,1][/tex].
Now, [tex]x(t)=1+(-3-1)t[/tex]
i.e, [tex]x(t)=1-4t[/tex]
And, [tex]y(t)=2+(8-2)t[/tex]
i.e, [tex]y(t)=2+6t[/tex]
Hence, the required parametric equation of the line is [tex](x(t),y(t))=(1-4t,2+6t)[/tex].
(b) Given: The radius of circle is 3 and centre is [tex](4,1)[/tex].
To find: The parametric equation of circle with radius 3 and centre [tex](4,1)[/tex].
We know that parametric equation of circle with radius [tex]r[/tex] and centre [tex](h,k)[/tex] is given by [tex]F(t)= (x(t),y(t))[/tex] where [tex]x(t)=rcos(t)+h[/tex] and [tex]y(t)=rsin(t)+k[/tex].
Now, [tex]x(t)=3cos(t)+4[/tex]
[tex]y(t)=3sin(t)+1[/tex]
So, the parametric equation of circle having radius 3 and centre [tex](h,k)[/tex] is [tex]F(t)= (3cos(t)+4,3sin(t)+1)[/tex].
Hence, the required equation of the circle is [tex]F(t)= (3cos(t)+4,3sin(t)+1)[/tex].
A collector bought a rare coin for $30. The coin is now valued at $37.50. What is the percent increase in value?
3 1/2 x 1 1/3
Please explain how to get the answer
Answer: 77/3 or 25.67
Step-by-step explanation:
3 1/2 * 11/3
3 * 2+1=7
7/3 * 11/3
7 * 11= 77
3 stays the same
77/3 or 25.67
Answer:
4 2/3
Step-by-step explanation:
You need to turn the fractions into improper fractions
To do that you multiply the whole number by the denominator and add the numerator, doing that will give you your new numerator, but the denominator stays the same
3 1/2. 3×2 = 6. 6+1=7 3 1/2 = 7/2
1 1/3. 1×3 = 3. 3+1 = 4. 1 1/3 = 4/3
Then multiply both numerator by each other and do the same for the denominators
7×4 = 28
2×3 = 6
28/6
Then simply it
28/6 = 4 2/3
What is the value of x in the triangle?
45°
7
X
45°
A. 7
B. 14
C. 7root 2
D 7 root 2 / 2
Answer:
There are a few (a very few) angles that have relatively "neat" trigonometric values, involving, at worst, one square root. Because of their relatively simple values, these are the angles which will typically be used in math problems (in calculus, especially), and you will be expected to have these angles' values memorized.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Im smart..
42 3/19 times 513 3/6
Answer:
21648
3
38
Step-by-step explanation:
(42
3
19
)(513
3
6
)
=
801
19
(513
3
6
)
=
801
19
(513
1
2
)
=
801
19
(10272)
=
822627
38
=21648
3
38
Helpppppppppppppppppppppp
Answer:
16
Step-by-step explanation:
y=2x
2*2=4
3*2=6
6*2=12
8*2=16
Answer:
16
Step-by-step explanation:
y=2x
2*2=4
3*2=6
6*2=12
8*2=16
Hope this helps :)
Select the procedure that can be used to show the converse of the Pythagorean theorem using side links chosen from 3 feet, 4 feet, 5 feet in 6 feet
Answer: B
Step-by-step explanation:
I got it on Aprx
The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle. Then the correct option is B.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Pythagorean theorem using side links chosen from 3 feet, 4 feet, 5 feet in 6 feet.
Then
5² = 3² + 4²
25 = 9 + 16
25 = 25
The 3 feet side and 4 feet side with a right angle between them. Then the 5 feet side will fit to form a right-angle triangle.
Then the correct option is B.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
please show work to
Step-by-step explanation:
SAS I think?
AB and BC are congruent
BD and BD share to same line so they are the same
Angle B is cut in half thus for they both equal so I think this is proven by SAS but I might be wrong.
Function or not? {(2,4)(2,-6)(3,-1)}
Answer:
Not
Step-by-step explanation:
There cannot be the same two inputs and have different outputs
THIS IS 90 POINTS:
what is 15m+35 graphed?
Answer:
Factor
5
out of
15
m
+
35
.
5
(
3
m
+
7
)
Step-by-step explanation:
Choose all the expressions that are equivalent to 3(2 + 11)
32 + 311
3(2) + 3(11)
3(2) + 11
6 + 11
6 + 33
3 + 22
Please help..........
Answer:
1178 inches
Step-by-step explanation:
Using the triangle I drew (assuming n is across from ∠N), we can conclude that ∠O = 180-97-32 = 51 as the angles in a triangle add up to 180.
Using the law of sines, we can conclude that
[tex]\frac{o}{sinO} = \frac{n}{sinN} \\[/tex]
Plugging our values in, we get
[tex]\frac{o}{0.78} = \frac{800}{0.53}[/tex]
Multiply both sides by 0.78 to get
[tex]o = \frac{800*0.78}{0.53} = around 1177.5[/tex]
round up to get 1178 as our answer
What does a decimal between two fractions mean
Answer:
Multiplication
Step-by-step explanation:
I think what you're talking about is not a decimal, but a multiplication point:
[tex] \frac{1}{2} \: . \: \frac{3}{4} [/tex]
This dot can donate multiplication when in the middle of two numbers and/or fractions.
But if you're talking about some other point, then I don't know, sorry. :(
Answer:
multiplication
Step-by-step explanation:
I think what your talking about is not decimal but a multiplication
Which expression is equivalent to -21/4/-2/3
Answer:
ummmmmmm
Step-by-step explanation:
c
what is the best estimate for the length off a car?
5 meters
5 kilometers
5 milimeters
5 centimeters
Answer:
5 meters
Step-by-step explanation:
Answer:
5 meters
Step-by-step explanation:
;)
If you were a colonist in the mid-1770s would you have stood with the Patriots or the Loyalists? Write an argumentative essay in which you support your position. Use evidence from the information provided as well as your background knowledge in U.S. history to support your claim and counterclaim.
Answer:
I would have stood with the patriots because British soldiers forcefully entered their homes. They also ramped up taxes over a petty war with France because they couldnt pay it themselves.
The Loyalists were brainwashed to the British king, because they were rich and privileged. So they could pay the very high taxes. This meant these guys didn't actually know how the people felt.
The British also ramped up the price of tea, which the colonists loved, just to be petty because the Patriots did not want to be taxed. Back then, the British were very petty. Now they're just jaded.
But back to the essay: The Patriots had a good cause. They wanted to move on from something chaining them down. The Loyalists did not. And I would want to happily tar some tax collectors. Wouldn't you?
Step-by-step explanation:
Which polynomial can be factored using the binomial theorem?
81x2 + 117x + 169
81x2 + 234x + 169
6,561x4 – 9,477x3 + 13,689x2 – 19,773x + 28,561
6,561x4 – 18,954x3 + 27,378x2 – 39,546x + 28,561
Answer:
B.) 81x2 + 234x + 169
Step-by-step explanation:
I GIVEEE BRAILILSTTTTTTTT
Answer:
umumumuykik.iu.fg
Step-by-step explanation:
lui;iou;uyfluylfuy;lui;uy;
3 3/4 +2 1/8 = ?
n n
Is this correct? If not plz get answers 25points!!!
That is correct.
Sqrt 5 x sqrt20
Apply the radical rule to get sqrt( 5 x 20)
Simplify to get sqrt(100)
Sqrt(100) = 10
If the ratio of green to yellow marbles is 2:3, what percent of the marbles are yellow?
Answer:
60 yellow marbles
Which pair of numbers is relatively prime?
A 7 and 21
B 4 and 15
C 6 and 9
D 9 and 27
A manufacturer knows that their items have a normally distributed length, with a mean of 16.2 inches, and standard deviation of 0.9 inches. If one item is chosen at random, what is the probability that it is less than 16.4 inches long
Answer:
57.926%
Step-by-step explanation:
Calculation for the probability that it is less than
16.4 inches long
Using this formula
z = (X - μ) / σ
Where,
X represent Date=16.4
μ represent Mean=16.2
σ represent Standard deviation=0.9 inches
Let plug in the formula
z = (16.4 - 16.2) /0.9 inches
z=0.2/0.9 inches
z = 0.2
Using Z-score table to find the area of 0.2
z=0.57926*100
z=57.926%
Therefore the probability that it is less than
16.4 inches long is 57.926%
If you bought a stock last year for a price of $63, and it has risen 17% since then, how
much is the stock worth now, to the nearest cent?
Answer:73.72
Step-by-step explanation:
helpppplzzzzzzzzz:)))))))))
Answer:
The answer is 14 minutes
Step-by-step explanation:
Subtract your total and divide what you have left. $20 - $18.04 = $1.96
You spent a total of $1.96
Divide that by 0.14 how much per minute and you get 14 minutes.
