Answer:
(-7)(-6)=42
272-42=230
Step-by-step explanation:
230 is the answer
3 1/4 x 6 1/2 x 2=? I need help please!!
Answer:
42.25
Step-by-step explanation:
Answer:
[tex]\frac{169}{4}[/tex] or 42.25
Step-by-step explanation:
If you turn the fractions into decimals they become easier to multiply.
1) 3.25 x 6.50 = 21.25
2) 21.25 x 2 = 42.25
Let T: P2 → P3 be the transformation that maps a polynomial p(t) into the polynomial (t-2)p(t).
a. Find the image of p(t) = 2-t + t^2
b. Show that T is a linear transformation.
c. Find the matrix for T relative to the bases (1, t,t^2) and (1,t,t^2,t^3).
(a) Applying T to p(t) = 2 - t + t ² gives
T ( p(t) ) = (t - 2) (2 - t + t ²) = -4 + 4t - 3t ² + t ³
(b) T is a linear transformation if for any p(t) and q(t) in P₂ and complex scalars a and b, the image of any linear combination of p and q is equal to the linear combination of the images of p and q. In other words,
T ( a p(t) + b q(t) ) = a T ( p(t) ) + b T ( q(t) )
Let
p(t) = α₀ + α₁ t + α₂ t ²
q(t) = β₀ + β₁ t + β₂ t ²
Compute the images of p and q :
T ( p(t) ) = (t - 2) (α₀ + α₁ t + α₂ t ²)
… = -2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³
Similarly,
T ( q(t) ) = -2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³
Then
a T ( p(t) ) + b T ( q(t) ) = a (-2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³) + b (-2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³)
… = c₀ + c₁ t + c₂ t ² + c₃ t ³
where
c₀ = -2 (a α₀ + b β₀)
c₁ = a (α₀ - 2α₁) + b (β₀ - 2β₁)
c₂ = a (α₁ - 2α₂) + b (β₁ - 2β₂)
c₃ = a α₂ + b β₂
Computing the image of a p(t) + b q(t) would give the same result; just multiply it by t - 2 and expand. This establishes that T is indeed linear.
(c) Find the image of each vector in the basis for P₂ :
T (1) = (t - 2) × 1 = t - 2
T (t ) = (t - 2) t = t ² - 2t
T (t ²) = (t - 2) t ² = t ³ - 2t ²
Then
[tex]T=\begin{bmatrix}-2&0&0\\1&-2&0\\0&1&-2\\0&0&1\end{bmatrix}[/tex]
There are 23 students in a sixth-grade class. Nine students play hockey.
What is the ratio of students who do not play hockey to the total amount of
students? (6.RP.1)
point
O 9 to 23
O 14 to 23
O 14 to 9
O 9 to 14
Answer:
14:23
Step-by-step explanation:
14:23
Answer:
its 14-23
Step-by-step explanation:
Pythagorean Theorem Quiz.
1.) Find the unknown side length. Simplify answers that are radicals.
4
3
2.) Find the unknown side length. Simplify answers that are radicals.
16
12
Answer:
1.) 5 2.) 10.58
Step-by-step explanation:
For each one, you use the equation a^2 + b^2 = c^2 where c is the "hypotenuse"-- the side of the triangle opposite (facing) the right angle which is shown with a small box. The variables a and b do not matter, as long as they are the "legs", the other 2 sides.
So it is 4^2 + 3^2 = c^2 which simplifies to 16+9=25=c^2 and square root both sides and you get c=5
and 12^2 + b^2 = 16^2 which simplifies to 144+ b^2 = 256 and subtract 144 from both sides and you get b^2 = 112 and square root both sides and it is approximately 10.6 :)
Which expression would be easier to simplify if you used the associative property to change the grouping?
A.(160+40)+27(160+40)+27
B.0.85+[0.15+(-\frac{1}{3})]0.85+[0.15+(− 31 )]
C.[(-\frac{1}{3})+(-\frac{2}{3})]+(-\frac{4}{5})[
D.1 + ( 3/4 + ( - 3/4)
brainliest if right and its on ap..ex

Answer:
C is the answer
Step-by-step explanation:
Somehow this was in my test last week , lol
The ratio of the measures
of the angles of a triangle is
6:10:2. What is the measure of
the smallest angle.
Answer:36
Step-by-step explanation:
You would add 6x + 10x + 2x = 180 then add your xs to get 18x =180 divide to 18 then multiply by 2 and get 35 :)
what is the volume of the figure?
Answer:
944 cubic feet
Step-by-step explanation:
You need to take the area of the figure separately.
[tex]8*10*5=400[/tex]
[tex]17*8*4=544[/tex]
400 + 544 =944
16 – (3 – 4y) = 2(y + 2)
Answer:
[tex]y = -4\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]16-(3-4y) = 2(y+2)[/tex]
Distribute.
[tex]16 - 3 + 4y = 2y + 4[/tex]
Combine like terms.
[tex]13 + 4y = 2y + 4[/tex]
Subtract [tex]2y[/tex] from both sides.
[tex]13 + 2y = 4[/tex]
Subtract 13 from both sides.
[tex]2y = -9[/tex]
Divide both sides by 2.
[tex]y = -4\frac{1}{2}[/tex]
I hope this helps!
1.)
a^2b^3
---------- <-----write in expanded form.
cd
2.)what is the exact solution to the equation 4^5x=3^x-2
Please show all work I've been struggling to understand these questions!!!! thank you so much <3
Answer:
1. Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)
2.Exact solution x = -0.376
Step-by-step explanation:
Solution:
First we have to write the Expanded Form of [tex]a^{2} . b^{3}[/tex], Let's do it.
1) [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)
Hence,
Expanded form of [tex]a^{2} . b^{3}[/tex] = (a.a).(b.b.b)
2) [tex]4^{5x} = 3^{x-2}[/tex]
Now, we have to find out the exact solution of the above equation:
In order to equate the exponents, we need to make sure the bases are same. Or we simply can use logarithm to solve the above equation.
So,
We are using logarithm to solve this equation.
Let's break this down:
[tex]4^{5x} = 3^{x-2}[/tex]
Taking log on both sides.
log[tex]4^{5x}[/tex] = log[tex]3^{x-2}[/tex]
[tex]5xlog(4)[/tex] = [tex](x-2)log(3)[/tex]
Dividing both sides by log(4)
[tex]5x[/tex] = (x-2) [tex]\frac{log(3)}{log(4)}[/tex]
value of log(3) = 0.4771
value of log(4) = 0.6020
[tex]5x[/tex] = (x-2) [tex]\frac{log(0.4771)}{log(0.6020)}[/tex] =
5x = (x-2)0.792
5x = 0.792x - 1.584
by rearranging the equation, we get:
0.792x - 5x = 1.584
x(0.792 - 5) = 1.584
x(-4.208) = 1.584
x = -1.584/4.208
x = -0.376
Exact solution x = -0.376
-5/12 - (-9/3)=
Help me please
Answer:
HOW T.F DO YOU NOT
Step-by-step explanation:
-5/12+3
2 7/12
UST CAUSE
Answer: -5/4
Step-by-step explanation:
11.) Is the equation below linear or nonlinear?
Y=9x-5
Answer:
liner
Step-by-step explanation:
Please help me answer this :)
Explain your answer
Will give brainiest ! Oh
Answer:
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Because the points are going up by 10 :)
A dragon lived in a cave.
The dragon doubled in size every day.
After 20 days the dragon filled the cave.
After how many days did the dragon half-fill the cave?
Answer: After 19 days, the dragon filled half of the cave.
Step-by-step explanation:
The dragon doubled in size every day and after 20 days he filled the cave.
So, one day before, the dragon occupied half of the cave.
20 - 1 = 19 [days]
After 19 days did the dragon half-fill the cave.
The dragon doubles in size every day, and after 20 days, it completely fills the cave.
To find out when the dragon half-filled the cave, we need to determine how many days it took for the dragon to reach half of the cave's capacity.
we know that,
On the 20th day, the dragon filled the entire cave.
and, The dragon doubled in size every day.
so, we have,
On the 19th day, the dragon's size would have been half of what it was on the 20th day.
On the 18th day, the dragon's size would have been half of what it was on the 19th day.
And so on...
We can see that every day before the 20th day, the dragon's size was halved.
So, on the 19th day, the dragon's size was half of the size it was on the 20th day.
Therefore, on the 19th day, the dragon half-filled the cave, and on the 20th day, it filled the entire cave.
Hence, After 19 days did the dragon half-fill the cave.
To learn more on subtraction click:
brainly.com/question/2346316
#SPJ4
Markers were placed at altitudes of 10 and 15 feet below sea level Enter the integer that represents the altitude closer to sea level
Answer:
43
neeed...20...charetors
The integer that represents the altitude closer to sea level is 10.
What is addition?Addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value. A numerical expression is algebraic information stated in the form of numbers and variables that are unknown.
We are informed that Markers were placed at altitudes of 10 and 15 feet below sea level
Then we need to find the integer that represents the altitude closer to sea level.
We can say that 10 is negative (below the sea level), and 10 is 10 spaces away from zero on the number line, meaning the answer could be |10|.
The sea level would be 0 and the 10 would be -10 and the 15 will be -15
Hence, the 10 is closer to the sea level.
Thus the integer that represents the altitude closer to sea level is 10,
Learn more about fraction addition here:
https://brainly.com/question/17544795
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Provide a radian measure of an angle that is 5/8 of a revolution counterclockwise from the x-axis.
josè and nancy take care of animals when the owners are away. josè charges $15 plus $2 per animal. nancy charges $5 plus $3 per animal. for how many animals do they charge the same amount?
get it right i will give you 100 points
Hey there! I'm happy to help!
Here's José's equation.
J=2a+15
And here is Nancy's.
N=3a+5
We want to find the number of animals where they are the same amount, or where J=N. We can write these equations as equal and solve for a to find the answer!
2a+15=3a+5
Subtract 15 from both sides.
2a=3a-10
Subtract 3a from both sides.
-a=-10
Divide both sides by -1.
a=10
Therefore, José and Nancy charge the same amount for 10 animals.
Have a wonderful day! :D
9. A cell phone can be purchased from the manufacturer for $160. The online retailer has a
standard markup of 30%, and the store has a standard markup of 40%.
(a)What is the price of the cell phone when purchased online?
(b)What is the price of the cell phone when purchased at the store?
(c) Which is the better deal?
Answer Below
30% of 160 is 48 dollars. Meaning you would take the 48 from 160. Leaving 112.So the 30% mark up would mean you would pay $112.Saving $48.
Take the 160 dollar,and have the 40% to work with. Taking this would be $64. So 160-64 is $96. They will spend $96 on the phone in-store
Purchase online- $112
Purchase in-store-$96
The better deal is in-store
Answer:
(A) $208 (B) 224 (C) the online one. it cost less
Step-by-step explanation:
(A) find 30% of $160 and add it to 160. put that answer in dollars.
(B) find 40% of $160 and add it to 160. put that answer in dollars.
(C) it is the one that costs less
Can someone please help me Please I'm desperate
Rob is 7 years older than James. Kate is 2 years younger than James. If the sum of their ages is 116, how old are each of the siblings?
Answer:
James is 37, Rob is 44, and Kate is 35
Step-by-step explanation:
Set up an equation where x is James' age:
Rob's age can be represented by x + 7, since he is 7 years older than James
Kate's age can be represented by x - 2, since she is 2 years younger than James
Add these together in the equation and set it equal to 116:
(x + 7) + (x - 2) + (x) = 116
Add like terms and solve for x:
(x + 7) + (x - 2) + (x) = 116
3x + 5 = 116
3x = 111
x = 37
So, James is 37.
Find Rob's age by adding 7 to this:
37 + 7
= 44
Find Kate's age by subtracting 2:
37 - 2
= 35
So, James is 37, Rob is 44, and Kate is 35
Answer:
Rob = 44
Kate = 35
James = 37
Step-by-step explanation:
Rob = 44 which is 7 years older than James
Kate = 35 which is 2 years younger than James
James = 37
If there were 1,593 Ronald McDonald's in the McDonald's, how many could fit?
Answer:
over 1,593
Step-by-step explanation:
if there was already 1,593 Ronalds in the McDonalds the McDonalds can most likely fit over that amount
PLEASE ANSWER GIVING 30 POINTS
Answer:
this is only 15points but ok
Step-by-step explanation:
answer: D)
Answer:
The answer should be 15.
Step-by-step explanation:
[tex]\sqrt[3]{125}[/tex] Factor 125 = [tex]5^{2}[/tex] x 5. Rewrite the square root of the product [tex]\sqrt{5^{2}X5 }[/tex] as the product of square roots. [tex]\sqrt{5^{2} }[/tex] [tex]\sqrt{5}[/tex]. Take the square root of [tex]5^{2}[/tex].
[tex]3[/tex] x [tex]\sqrt[5]{5}[/tex] Multiply 3 and 5 to get 15.
[tex]\sqrt[15]{5}[/tex]
Totally blanking on how medians work
===============================================
The three medians of this triangle are:
PFREQDThese segments go from one vertex to the midpoint of the opposite side.
The median we'll focus on is PF.
The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC
In other words,
CF = 2*PC
This means,
PF = PC+CF .... segment addition postulate
PF = PC+2*PC ... replace CF with 2*PC
PF = 3*PC .... combine like terms
So the median PF is three times the length of its portion PC
We're told that PF = 24
We can then find the following:
PF = 3*PC
24 = 3*PC
3*PC = 24
PC = 24/3
PC = 8
Then we double this to get the length of CF
CF = 2*PC
CF = 2*8
CF = 16
This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.
The final answer is 16.
Henry went clothes shopping and bought 3 pairs of shorts for $22.99 each, 2
shirts for $32.99 each and one pair of shoes for $54.99. What is the most
reasonable estimate of the total amount he spent on all the clothing?
A. $135
B. $184
C. $190
D. $223
Answer:
C
Step-by-step explanation:
will give branliest
Simplify the follow expression
3x + 8y + 13x
Answer:
16x+8y
Step-by-step explanation:
Let's simplify step-by-step.
3x+8y+13x
Combine Like Terms:
=3x+8y+13x
=(3x+13x)+(8y)
=16x+8y
If 4 movie tickets cost $28, how much would it cost to buy 9 movie tickets
Answer:
$63
Step-by-step explanation:
First, divide 28 by 4 to get 7
Now we know that one ticket cost $7.
Do 7 times 9 to get 63
9 tickets costs $63
9 movie tickets would cost $63.
Since 4 movie tickets cost $28, you can divide 28 by 4 to get 7. From here, you can multiply 7 by 9 to get 63.
May I have brainliest please? :)
what is 3/5 divide 1/3
Answer:
1 4/5
Step-by-step explanation:
A rectangular based prism has a length of
12m a width of 7m and height of 11m. Find
its volume.
Answer:
924m^3 is the volume of the rectangular prism
Look at pic and pls halp
From the figure and statement provided, select the proper TO PROVE Statement.
If two parallel planes are cut by a third plane, the lines of intersection are parallel.
MN= 1AB
AB- BC= AC
M is parallel to
AB= BC
a is parallel to B
Answer: a is equal to b
Step-by-step explanation:
Answer:
a is parallel to b
Step-by-step explanation:
Behind you there is a sneeze. You don't know it at the time, but this begins a chain reaction of flu that ripples through the school
It starts with only 20 students but the number infected grows every day at a rate of 10% How many people are infected at day 24.
Answer:
how bad do u need this answer 1 through 10
You are your friend are playing a game where you flip a coin and roll a fair four-sided die.
What about it?????????
Answer: is this the best ratio question
Step-by-step explanation: