Answer:
a and c
Step-by-step explanation:
How many distinct permutations can be formed using the letters of the word "PAPER"?
Answer:
2 i think
Step-by-step explanation:
what is the coefficiant of (x^4)( y^3) iterm in the expansion of (x-2y)^7
Answer:
The coefficient of [tex]x^{4}[/tex][tex]y^{3}[/tex] is -280
Step-by-step explanation:
Solving the Binomial expansion using the Pascal's triangle, it would be observed that an expansion to the power of 7 can be solved using;
1 7 21 35 35 21 7 1
Thus;
[tex](x - 2y)^{7}[/tex] = 1. [tex]x^{7}[/tex] + 7.[tex]x^{6}[/tex](-2y) + 21.[tex]x^{5}[/tex][tex](-2y)^{2}[/tex] + 35.[tex]x^{4}[/tex][tex](-2y)^{3}[/tex] + 35.[tex]x^{3}[/tex][tex](-2y)^{4}[/tex] + 21.[tex]x^{2}[/tex][tex](-2y)^{5}[/tex] + 7.x[tex](-2y)^{6}[/tex] + [tex](-2y)^{7}[/tex]
= [tex]x^{7}[/tex] -14[tex]x^{6}[/tex]y +84[tex]x^{5}[/tex][tex]y^{2}[/tex] -280[tex]x^{4}[/tex][tex]y^{3}[/tex] + 560[tex]x^{3}[/tex][tex]y^{4}[/tex] - 672[tex]x^{2}[/tex][tex]y^{5}[/tex] + + 448x[tex]y^{6}[/tex] - 128[tex]y^{7}[/tex]
Therefore, the coefficient of [tex]x^{4}[/tex][tex]y^{3}[/tex] is -280
Tito opened a savings account with $100.
He saves $25 per month. Which of the
inequalities below can be used to find the
least number of months it will take Tito to
have $700 saved?
PLEASE HELP!! INEED A EQUATION
Answer:
100+25m=700
Step-by-step explanation:
i just took a good guess so don't trust it :)
Answer: 700/25=28
28x25=700 28 months
Step-by-step explanation:
since he saves $25 per month you have to divide 700 and 25 and you get 28
if You aren’t sure Its right then multiply 25 and 28 and you get 700
The area of a trapezoid is 864 cm. It has a height of 24 cm, and the length
of one of its bases is 30 cm. What is the length of the other base?
Answer:=42 cm
Step-by-step explanation:
Strap=(a+b)*h/2 ( where a and b are trapezoid' s bases and h is a height)
So 864=(30+b)*24/2
30+b=864*2/24
30+b=864/12
30+b=72
b=72-30
b=42 cm
A train can travel 744 miles in 3 hours .what is the unit rate that this train is traveling per hour in miles
If the train travels 744 miles in 3 hours then to determine the unit rate the train is traveling per hour you have to divide the miles by the hours, in this case (744 miles)/(3 hours). The final result concludes as 248 miles per hour.
5z-8-4z-3z+6
What is the simplified form of their expression?
Step-by-step explanation:
=5z-8-4z-3z+6
=5z-4z-3z-8+6
= -2z-2
hope it help u
A golfer aims for a hole that is 120 feet away and, when he hits the golf ball off the ground, its highest point reaches 80 feet up in the air. Noemi’s team is working together to write the quadratic equation to model the path of the golf ball in graphing form. She calculated the value of a = - 1/90 . Is she correct?
Answer:
No she isn't. The value of [tex]a[/tex] is [tex]a=-\frac{1}{45}[/tex]
Step-by-step explanation:
We know that all quadratic equation can be written in the following way :
[tex]y=ax^{2}+bx+c[/tex] (I)
Where [tex]a,b[/tex] and [tex]c[/tex] are real numbers.
I will attach a drawing with the quadratic graph to understand the situation.
We know by looking at the drawing and analyzing it that the parabola passes through the points : [tex](0,0) ; (60,80)[/tex] and [tex](120,0)[/tex]
[tex](0,0)[/tex] because we put our coordinates origin there.
[tex](120,0)[/tex] because that's where the golf hole is.
And [tex](60,80)[/tex] because we know that its highest point reaches 80 feet up in the air at the middle of the distance between its roots (property of a negative parabola).
Finally, we work with the three points and the equation (I) in order to find the values of [tex]a,b[/tex] and [tex]c[/tex] ⇒
The parabola passes through [tex](0,0)[/tex] ⇒
[tex]y=ax^{2}+bx+c[/tex] ⇒
[tex]0=a(0)^{2}+b(0)+c[/tex] ⇒ [tex]c=0[/tex]
The parabola passes through [tex](60,80)[/tex] ⇒
[tex]80=a(60)^{2}+b(60)[/tex] ⇒
[tex]80=3600a+60b[/tex] (II)
The parabola passes through [tex](120,0)[/tex] ⇒
[tex]0=a(120)^{2}+b(120)[/tex] ⇒
[tex]0=14400a+120b[/tex]
[tex]120b=-14400a[/tex]
[tex]b=-120a[/tex] (III)
Now if we use (III) in (II) ⇒
[tex]80=3600a+60(-120a)[/tex]
[tex]80=3600a-7200a[/tex]
[tex]3600a=-80[/tex]
[tex]a=-\frac{1}{45}[/tex] ⇒ [tex]b=\frac{8}{3}[/tex]
Finally the equation of the parabola is
[tex]y=-\frac{x^{2}}{45}+\frac{8}{3}x[/tex]
Where the value of [tex]a[/tex] is [tex]a=-\frac{1}{45}[/tex]
2х + Зу = 3 y = 8 – 3х
Answer: Point form: ( 3 , -1 )
Equation form: X= 3 and Y= -1
Step-by-step explanation:
70 POINTS
Select the correct answer.
Here are four decimal numbers:
0.39, 0.85, 0.731, 0.773
Choose the list that shows the numbers in order from smallest to largest.
A.
0.773, 0.39, 0.85, 0.731
B.
0.773, 0.85, 0.39, 0.731
C.
0.39, 0.731, 0.773, 0.85
D.
0.85, 0.773, 0.731, 0.39
Answer: A
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
[tex]13b+7b+7a+13a = ?[/tex]
Answer: 20a + 20b
Step-by-step explanation:
Combine the like terms.
13b + 7b = 20b
7a + 13a = 20a
Our answer to the question is 20a + 20b.
The number of kids in a school decreased by 20% between last year and this year. Last year there were 80 kids in the school. What is the population this year? If you get stuck, consider making a table.
Answer:
64
Step-by-step explanation:
Multipy 80 by 80% or 0.80 to find the new population of 20% less
What is the range of f(x) = -2x + 5 with domain {1, 2, 3, 4}?
O A. {3, 1, -1, -3}
O
B. {7, 9, 11, 13}
O C. {1, 2, 3, 4}
O D. {-7.-9, -11, -13}
Step-by-step explanation:
A IS THEM ANSWER
A tennis shoes regularly sells for $20.00. The store advertises a 15% discount. What is the sale price of the necklace in dollars?
Answer:
Shoes with discount = $17
Necklace = Price * 0.85
Step-by-step explanation:
-If the tennis shoes store sells other things than shoes-
Shoes = $20.00
Discount = 15%
*Price expressed as a percentage*
Price without discount = 100%
Price after discount = 100% - 15%
Price after discount = 85%
*Normal price*
Price without discount = 20
Price after discount = 20 * 0.85
Price after discount = 17
If 270 students bought a cheese pizza or a pepperoni pizza, how many lunches were sold on Friday?
Answer:
270
Step-by-step explanation:
they all bought pizza but you dont know what flavor they pick
Answer:
270?
Step-by-step explanation:
PLZZZZZZ HELP!!!!!!!!!!!
Answer:
greater number is 8 lesser number is 3
2(3x-(2x-3(3x+1)+5x)
Answer: Is the answer is 10x+6? You didn’t even show what can I do for your math expression, I thought it was simplified expression.
Step-by-step explanation:
A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?
To answer the question, you need to write a conversion factor to convert: The correct conversion factor has the inches in the: The correct conversion factor has the feet in the: . The tortoise can walk feet per second:
Answer:
The tortoise can walk 0.25 feet per second.
Step-by-step explanation:
Convert inches to feet
Answer:
A tortoise walks 3 inches in 1 second. How many feet per second can the tortoise walk?
To answer the question, you need to write a conversion factor to convert
inches to feet
The correct conversion factor has the inches in the
denominator
The correct conversion factor has the feet in the
numerator
.
The tortoise can walk
0.25
feet per second.
by-step explanation:
hope this helps :)
QRS = _____
By _____
Answer:
the one you have circled is correct
Step-by-step explanation:
Answer:
The fourth answer selection is the correct
Step-by-step explanation:
Yes, the two triangles have to sides and the angle in between congruent, so by the SAS theorem, they are congruent.
Therefore select the fourth option that gives the order of vertices of the second triangle similar to the order of vertices in the first one :
Triangle YXW by SAS.
Notice that side YX is congruent to side QR,
and side RS is congruent to side SW.
A runner is running a 10k race. The runner completes 30% of the race in 20 minutes. If the runner continues at this pace, how long will it to finish?
Answer:
Step-by-step explanation:
20 Min=30% complete
40 min=60% complete
60 min (1 hr)= 90% complete
67 min=100% complete
determine the axis of
symmetry for y=x²+2
Answer:
x=0
Step-by-step explanation:
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b/2a
in our case
y=x^2+2
a=1 b=0 c=2
so x=-b/2a=-0/2*1=0
x=0 is axis of symmetry
Consider the line that passes through each pair of given points, and decide what type of slope the line has.
(2, 4) and (5, 1)
undefined slope
(3,5) and (-1,2)
negative slope
(-7, 8) and (-7,0)
positive slope
(6.-3) and (4, -3)
zero slope
Answer:
The types of slope for each pair are:
(2, 4) and (5, 1) => Negative
(3,5) and (-1,2) => Positive
(-7, 8) and (-7,0) => Undefined
(6.-3) and (4, -3) => Zero
Step-by-step explanation:
We will find the slope of each line to check the type of slope.
Slope is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point
Now,
(2, 4) and (5, 1)
[tex]m = \frac{1-4}{5-2} = \frac{-3}{3} =-1[/tex]
The slope is negative.
(3,5) and (-1,2)
[tex]m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}[/tex]
The slope is positive
(-7, 8) and (-7,0)
[tex]m = \frac{0-8}{-7+7} = \frac{-8}{0}[/tex]
division by zero makes the slope undefined.
(6.-3) and (4, -3)
[tex]m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0[/tex]
The slope is zero
Hence,
The types of slope for each pair are:
(2, 4) and (5, 1) => Negative
(3,5) and (-1,2) => Positive
(-7, 8) and (-7,0) => Undefined
(6.-3) and (4, -3) => Zero
Answer:b
Step-by-step explanation:
An architect draws a blueprint of a house using the scale 1 inch equals 6 feet. If the kitchen measures 19 12 feet by 22 12 feet, what are the dimensions of the kitchen on the blueprint?
Answer:
3.33in x3.83in
Step-by-step explanation:
Hello there pm34080075, I'm going to assume you are referring to a 19 ft 12in by 22ft 12in. If this is incorrect I will write out the steps so it should be an easy fix. The simplest thing we can do is convert all of our units to inches and then set up a ratio to find the dimensions on the blueprint.
With what we are given it should turn out to be roughly:
19ft 12in= 240in
22ft 12in= 276in
From this we can set up the simple ratio of [tex]\frac{1inch}{72in}[/tex] to find out the appropriate values This can be done by solving for x in:
[tex]\frac{1 inch}{72in}[/tex] x [tex]\frac{x}{240in}[/tex]
and
[tex]\frac{1 inch}{72in}[/tex] x [tex]\frac{x}{276in}[/tex]
After this is done we find that the dimensions on the blueprint will come out to 3.33in x3.83in
Hope this helps!
-HM
HELPO aSaPpp!!! thank you!!!
You could say "7328 dollars and 42 cents", but the shorter format is preferred in my opinion.
====================================
Work Shown:
A = P*e^(r*t)
A = 6000*e^(0.04*5)
A = 7328.41654896153
A = 7328.42
The symbol 'e' is a special number in math similar to how pi = 3.14 is another important symbol. If your calculator doesn't have a button labeled 'e', then replace 'e' with 2.718 to use its approximation.
i don't know the answer
Answer:
The answer is C.
Step-by-step explanation:
the audience thinks 30% of Brandon's jokes are funny. what fraction of brandons jokes does the audience think are funny??
Answer: 3/10
Step-by-step explanation:first conversation percent to fraction 30/100 then reduce by taking out ten and you get 3/10
• What is the total number of pencils that Mr. Moretti gives to his students
if he puts 3 mechanical pencils in each bag?
Answer:162
Step-by-step explanation:
162
In the figure, what is the value of X?
Answer: I think it's 12
help please due at 11:00 PM please help
Answer:
60Step-by-step explanation:
Using Unitary Methodfirst pay 100 = second pay 60
first pay ( 100 / 60 ) = second pay 1
first pay ( 100 / 60 ) * 36 = second pay 36
first pay 60 = second pay 36
[ Note : ( 100 / 60 ) * 36 = 60 ]
Which is the equation of a line that has a slope of 1/2 and passes through poúru (2,-3)?
o y = 1/2X-4
o y = 1/2 X-2
o y = 1/2 x + 2
o y= 1/2 x+3
Answer:the answer is A
Step-by-step explanation:y=1/2x-4 is the answer I know this because I just took the test
Willam has 24 cans of fruit and 60 cans of vegetables that he will put in bags for a food drive he wants each bag to be the same