Answer:
steps below
Step-by-step explanation:
5th level of Pascal triangle: 1,5,10,10,5,1
(1+2x)⁵ = 1*1⁵*(2x)⁰+5*1⁴*2x+10*1³*(2x)²+10*1²*(2x)³+5*1¹(2x)⁴+1*1⁰*(2x)⁵
= 1 + 10x + 40x² + 80x³ + 80x⁴ + 32x⁵ .. (1)
(1-2x)⁵ = 1 - 10x + 40x² - 80x³ + 80x⁴ - 32x⁵ .. (2)
(1)+(2): (1+2x)⁵ + (1-2x)⁵ = 160x⁴ + 80x² +2
a + bx + cx ?? suppose it's ax⁴ + bx² + cx, if you have other set up.. adjust by yourself
a = 160, b = 80, c = 2
From the graph, write the linear equation in slope-intercept form
Answer:
y = -3x + 1
Step-by-step explanation:
slope intercept form -> y=mx+b
you can find your slope, m, by doing rise over run ( up 3, left one -> -3/1 )
you can find your y-intercept, b, by just looking at the y axis ( 0,1 -> 1 )
from there you just plug in the values
y = m ( slope ) x + b ( y-intercept )
y = -3x + 1
solve for x: 1/3(3x+6)+5x>20
Answer:
[tex]x > 3[/tex]
Step-by-step explanation:
[tex] \frac{1}{3} (3x + 6) + 5x > 20 \\ x + 2 + 5x > 20 \\ 6x + 2 > 20 \\ 6x > 18 \\ x > 3[/tex]
The U.S. population in 1910 was 92 million people. In 1990, the population was 280 million. This could either be a linear or exponential model. You will create both and then look at the true population increase and decide which model is closer the the true growth.
The actual U.S. population data (in millions) was:
Which model provides a better forecast for the U.S. population for the year 2030, linear or exponential or neither?
Question 5 options:
Linear model
Exponential model
Neither
Answer:
The linear model means that there is a uniform increase and in this case of US population from 92 million people in 1910 to 250 million people in 1990 .
This means an increase of 250 − 92 = 158 million in 1990 -1910 = 80 years or 158 80 = 1.975 million per year and in x years it will become 92 + 1.975 x million people. This can be graphed using the linear function 1.975 ( x − 1910 ) + 92 ,
graph{1.975(x-1910)+92 [1890, 2000, 85, 260]}
The exponential model means that there is a uniform proportional increase i.e. say p % every year and in this case of US population from 92 million people in 1910 to 250 million people in 1990 .
This means an increase of 250 − 92 = 158 million in 1990 − 1910 = 80 years or
p % given by 92 ( 1 + p ) 80 = 250 which gives us ( 1 +p ) 80 = 250 92 which simplifies to p = ( 250 92 ) 0.0125 − 1 = 0.0125743 or 1.25743 % .
This can be graphed as an exponential function 92 × 1.0125743 ( x − 1910 ) , which gives population in a year y and this appears as graph{92(1.0125743^(x-1910)) [1900, 2000, 85, 260]}
Step-by-step explanation:
Hope this helps
Find slope of both lines and determine if parallel, perpendicular or neither
1) A (2,20)
B (9,55)
C (4,5)
D (9,30)
Answer:
Parallel
Step-by-step explanation:
y=5x+10
y=5x-15
A car travels a distance of 130 miles in a time of 1.8 hours. What is its average speed rounded to 1dp?
Answer:
72.2
Step-by-step explanation:
130/1.8
plz help me what the coordinate points for each
Answer:
A. (-4, -3)
B. (5, 3)
C. (-1, 3)
Step-by-step explanation:
Ok, bear with me, its been a while since I have done this so make sure you double check.
A. So, we already know where point A is(1,-3) and we need that to find B
It says we need a reflection which is basically mirroring it across the y-axis(note: if it were across the x-axis then this would turn out much differently.)
Its hard to explain but i will tell you that reflecting point A will give us (-1, -3)
Now we need to translate it 3 units to the left
(-4, -3)
B. Ok, next we have point C which is a reflection using the x-axis (now you will see how important it is to make sure you are reflecting in the right place.) Over the x-axis, will give us (1, 3).
Now we need to translate to the right... (5, 3)
C. Point D... we need to rotate it. Now, rotating is a little bit more work than reflecting and translating but its not hard.
since we are rotating 180 degrees then we are basically just turning it around halfway from 360...
A is (1, -3) so D would be (-1, 3)
Hope this helps :)
HELPPP PLSSS 50 POINTS IDC
Answer:
1.x=0 or x=3
2.x=5
3.x=0 or 10/3
4.x=0 or 5/3
Evaluate 7.6 x 103 +5.2 x 103 and write its solution in scientific notation.
what is the length of the diagonal of the rectangle?
Answer:
5 units
Step-by-step explanation:
To solve this we can use pythagoras theory:
a² + b² = c², where c is the diagonal3² + 4² = c²9 + 16 = 25c² = 25, so c = √25c = 5Hope this helps!
Using the quadratic formula to solve x- + 20 = 2x, what are the values of x?
Answer:
they is no answer because x-+20 is not applicable to math
Answer:
x = -20
Step-by-step explanation:
because there is no quadratic equation there
In the figure, s//t Find the m\1
will give brainliest
The answer is 115 degrees
Solve the simultaneous equation
2x-5y=9
3x+4y=2
Answer/Step-by-step explanation:
2x-5y=9
Add 5y to both sides of the equation.
2x=9+5y
Divide each term by 2 and simplify.
Divide each term in 2x=9+5y by 2
[tex]\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}[/tex]
Cancel the common factor of 2.
Divide x by 1.
[tex]x=\frac{9}{2} +\frac{5y}{2}[/tex]
[tex]y=\frac{-9}{5} +\frac{2x}{5}[/tex]
----------------------------------------------------------------------------------------------------------------
3x+4y=2
Add 4y to both sides of the equation
3x=2+4y
Divide each term by 3 and simplify.
Divide each term in 3x=2+4y by 3.
[tex]\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}[/tex]
Cancel the common factor of 3.
Divide x by 1.
[tex]x=\frac{2}{3} +\frac{4y}{3}[/tex]
[tex]y=\frac{-1}{2} +\frac{3x}{4}[/tex]
F(-5)=7+|-5|=7+5=12
HOW DO I SOLVE THIS?? HELPASAP
At a school event, adults are seated in groups of exactly 6 and children are seated in groups of exactly 12. If there are the same number of adults as children, what is the minimum number of adults attending?
Answer:
72 is the minimum amount of adults
Step-by-step explanation:
brainliest please
Pls help me figure this out :D
Answer:
Well in this case the solution would be x = 19/9, I hope this helps! :)
Which of these is NOT discrete data:
A. toppings on a pizza
B. boys in a family
C. temperature outside
D. planks in a deck
Answer:
C. temperature outside
Step-by-step explanation:
Discrete data is information that can only take certain values. ... This type of data is often represented using tally charts, bar charts or pie charts. Continuous data is data that can take any value. Height, weight, *TEMPERATURE* and length are all examples of CONTINUOUS data. = not discrete data
I believe, hope it is correct
A pack of $2.99 crayons is on sale 50% off what is the discount?
Answer:
$1.49
Step-by-step explanation:
Take your value: $.99 and since it is 50% off, divide it by 2.
You get $1.49.
can someone please help me with how to find the perimeter and area of this
Answer:
Perimeter = 68ft
Area = 289ft²
Step-by-step explanation:
The lines on each side mean that they are all the same length - this shape is a square.
To find the perimeter, do 17 + 17 + 17 + 17 or 17 × 4. This gives you 68ft.
To find the area, you multiply the length and width → 17 × 17 = 289ft²
Hope this helps!
What is the value of this expression
3'3+5∙4−(8−5∙2)2
Answer:
105?
Step-by-step explanation:
Answer:
43 just did it
Step-by-step explanation:
just did it
plzzzzzzzzzzzzzzzzzzz helppppp
Answer:
15
Step-by-step explanation:
I'm not sure, but find out the coordinates of the two points, and then find the slope between them.
HELP WILL GIVE BRAINLIEST
Answer:
x = 128 degrees
Step-by-step explanation:
x and 52 make a linear pair, meaning they both equal 180 degrees.
Therefore, to solve x you can do:
x + 52 = 180
x = 180 - 52
x = 128 degrees
the difference between 4x and 2x is 70. Find the 2x
Answer:
2x = 70
Step-by-step explanation:
4x - 2x = 70
2x = 70
x = 70/2
x = 35
You should know the __________ and ___________ of all safety equipment.
PLS HELP ME!!!!
NEED HELP ASAP!! ILL GIVE BRAINLIEST IF YOU GET IT RIGHT!!
Explanation:
*Based on what i know / understand*
Well one thing is that it is not E (the last choice because the mean is not the same as the median, they are different, the mean is 10.4 while the median is 13.4
And it can not be C or D because the mean is less than the median. So it is rather A or B.
But I think it is B.
Sorry if its wrong ;-;
Hi guys.Hope you are all well…I need your help on this question and I will give you 34 points for it.It doesn’t matter who gets the answer first .It matters on that if you try your best.I will still give you points if you try and think what’s the answer for this question.Thanks…
Answer:
the size of the angel is 51
Step-by-step explanation:
The size of the angle is 52 p
Which of the following statements is true in its conditional and converse forms?
If K is between points J and L, then K is a midpoint.
If a polygon has 3 sides, then the sum of its interior angles is 180°.
If two angles are right angles, then they are congruent.
If B is the midpoint of AC¯¯¯¯¯¯¯¯, then AB = BC.
The converse statement involves switching the hypothesis and the conclusion of a conditional statement.
The correct statement is (d) If B is the midpoint of AC, then AB = BC.
The converse of the given conditional statements are:
If K is a midpoint, then K is between points J and LIf the sum of interior angles is 180°, then the polygon has 3 sidesIf two angles are congruent, then they are right anglesIf AB = BC, then B is the midpoint of ACFrom the above statements, (a), (b) and (c) are not the same as the conditional statement, because:
Point K does not have to be between points J and L to be a midpoint.The sum of interior angles of all polygons (whether it has 3 sides or more) is 180 degreesCongruent angles may not be right anglesFor option (d):
For B to be a midpoint of AC, it means that sides AB and BC are congruent.
Hence, the correct statement is (d)
Read more about conditional and converse statements at:
https://brainly.com/question/17684283
HURRY!!!!
A line with a slope of 5 passes through the points (4,5) and (5,u) What is the value of u?
Answer:
See Below
Step-by-step explanation:
Slope is rise over run.
Rise is the difference in the y values
Run is the difference in the x values.
Rise/Run = 5 (slope)
You have both x values 4 from one point and 5 from the other point so the difference is 1. The Run is equal to 1
So you now have Rise / 1 = 5
The first y value you have is 5 and based on (rise/1 = 5), you know the difference in the y values must equal 5. That means the other y value has to be either 10 or 0.
0 will not work because that would make the slope negative since the line would slope downward from left to right.
Which rule explains why these triangles are congruent?
Answer:
SAS is the rule
Step-by-step explanation:
One fifth of the difference of a number and 1?
If you are asking for that to be in expression form, that would be:
1/5(x-1)
Let x be the number.
Answer: The expression that models this situation is given by:
x-1/5
---------------------------
The number is unknown, so it is called x.
The difference between 3 and 2 is 3 - 2 = 1, between 10 and 5 is 10 - 5 = 5, and so on. Thus, the difference between a number and 1 is x - 1.
One fifth of a number is the number divided by 5. Thus, in this context, the expression that represents one fifth of the difference of a number and 1 is given by:
x-1/5
There’s another problem that has the same question at this link:
https://brainly.com/question/20742606
Calculate the surface area of the following objects.
Answer: 15150 [tex]cm^{2}[/tex]
Step-by-step explanation:
2(83 × 45) + 2(30 × 45) + 2(30 × 83)
2(3735) + 2(1350) + 2(2490)
7470 + 2700 + 4980
= 15150
please give me a brainliest answer