Pascal's triangle up to the 5th iteration is
[tex]\begin{array}{cccccc}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\\1&5&10&10&5&1\end{array}[/tex]
This tells us
[tex](x-2)^5=\boxed{1}x^5(-2)^0+\boxed{5}x^4(-2)^1+\boxed{10}x^3(-2)^2+\boxed{10}x^2(-2)^3+\boxed{5}x^1(-2)^4+\boxed{1}x^0(-2)^5[/tex]
so the second term in the expansion is
[tex]5x^4(-2)^1=\boxed{-10x^4}[/tex]
CORRECT ANSWER GETS BRAINLIEST!!! PLZ ANSWER FAST!!
Answer:
You Forgot the picture lol
Please help with this
Answer:
2,0
Step-by-step explanation:
So since this is a plane what i remember is that since there are three triangles c is directly at -4 and a is directly at 2 and b is direclty at 4.
Add them up gives you 4+2+-4
4-4=0
2+0=2
I need help on this.
Answer:
2143-764=1379
Step-by-step explanation:
In the Pythagorean theorem (a + b2 = c), a and b stand for the lengths of the
shorter sides, and c stands for
A. the length of the legs
B. the area of the triangle
c. the length of the longest side
D. the height of the triangle
Please help me
Two exponential functions, fand g, are shown in the graph where g is a transformation of f.
Which of the rules given below shows the transformation of f?
A. g(x) = f(x-2)
B. g(x) = f(x) + 2
C. g(x) = f(x + 2)
D. g(x) = f(x) - 2
Points A, B, C, D, E, F, and G lie on the graph of function g( x ) as shown on the coordinate grid.
All the coordinates of the marked points are integers. Drag and drop numbers into the boxes to complete each form of the function
numbers to boxes:
-5, 0, 3, 4, 5, 6, 7
Answer:
[tex]g(x)=-(x-5)^2+4\\=-(x-7)(x-3)[/tex]
Step-by-step explanation:
Given: coordinate grid
To find: the missing number
Solution:
Equation of the parabola that open downwards and is symmetric about y-axis is [tex](x-h)^2=-4p(y-k)[/tex] where [tex](h,k)[/tex] denotes the vertex and focus is at [tex](h,k+p)[/tex]
[tex]g(x)=-(x-.....\,\,\,\,)^2+\left ( ....... \right )\\(x-.....\,\,\,\,)^2=-\left ( g(x)-(....) \right )[/tex]
[tex](x-h)^2=-\left ( g(x)-(k) \right )[/tex]
From the graph, vertex is [tex](5,4)[/tex]. Put [tex](h,k)=(5,4)[/tex]
[tex]g(x)=-(x-5)^2+4\\=-\left [ (x-5)^2-2^2 \right ][/tex]
Use formula [tex]a^2-b^2=(a+b)(a-b)[/tex]
So,
[tex]g(x)=-\left [ (x-5)^2-2^2 \right ]\\=-\left [ (x-5-2)(x-5+2) \right ]\\=-(x-7)(x-3)[/tex]
Jordan prepares 200 name tags to use at a meeting. The number for each color of the name tag is described below.
35%of the name tags are blue
3/8 of the name tags are yellow
*all of the remaining name tags are red
how many of Jordans name tags are red ?
A)55
B)90
C)110
D)145
please help thxs!! due today 11:00 pm
Answer:
The answer would be A. 55.
Step-by-step explanation:
For the 35% you would take your 200 and divide it by 2 and have two 100's. Since 35% is out of 100% you could take 35 from each 100 and add them together to get 70.
For the 3/8 you would divide and get .375 then you would multiply that by 200 which would give you 75 yellow tags. Then you would add 75 and 70 and get 145. Then subtract 145 from 200 to get 55. Therefore there would be 55 red tags.
The number of Jordan's tags that are red are; A: 55 tags
How to calculate proportions?35% of the 200 tags are blue. Thus;
Number of blue tags = 35% * 200 = 70 tags
3/8 of the 200 name tags are yellow. Thus;
Number of yellow tags = 3/8 * 200 = 75 tags
The remaining tags are red. Thus;
Number of red tags = 200 - (75 + 70)
Number of red tags = 55 tags
Read more about Proportions at; https://brainly.com/question/1781657
What’s the surface area of this prism?
Answer:
580
Step-by-step explanation:
1/2 6x10 x2 for the two bases is 60. for the rams is 20x8 x2 cause there is two ramps. then the bottom is 10 x 20 is 200. add them all up and get 580.
Answer:
760 m^2
Step-by-step explanation:
Seining bought 6 apples for $1.80. Jane brought 5 apples for $1.50.Are the rates in proportion
Answer:
Yes
Step-by-step explanation:
6 : 1.8 = 1 : 0.3
5 : 1.5 = 1 : 0.3
Which of the following points represents the center of a circle whose
equation is (x-3)2 + (y-2)2 = 16?
A. (3,-2)
B. (3,2)
C. (-3,-2)
D. (-3,2)
Answer:
B
Step-by-step explanation:
(x-3)² + (y-2)² = 16
(x-h)²+(y-k)²=16
r=4
h=3
k=2
center is at the point (h, k) ⇒ (3, 2)
The sector has an area of 3 pi inches squared and a radius of 6 in. How many inches long is the arc for this sector? Use 3.14 for Pi and round to the nearest hundredth.
A sector with a radius of 6 inches and area of 3 pi inches squared.
Recall that Area of a sector = StartFraction n degrees over 360 degrees EndFraction (pi) (r squared) and StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.
3.14
6.28
12.56
18.84
Answer: 6.28 inches.
Step-by-step explanation:
Formula :
i) Area of sector : [tex]A=\dfrac{x}{360}\times\pi r^2,[/tex], where x = central angle and r is radius
ii) Length of arc : [tex]l=\dfrac{x}{360}\times2\pi r[/tex]
Given , r= 6 in.
A = [tex]3\pi[/tex] inches
Put these values in (i) , we get
[tex]3\pi =\dfrac{x}{360}\times\pi (3)^2\\\\\Rightarrow\ 1=\dfrac{x}{120}\\\\\Rightarrow\ x=120^{\circ}[/tex]
Now , put values of x and r in (ii) , we get
[tex]l=\dfrac{120}{360}\times2\pi(3)\\\\\Rightarrow\ l=2\pi = 2(3.14)=6.28\text{ inches}[/tex]
Hence, the length of the arc is 6.28 inches.
Answer:
6.28
Step-by-step explanation:
Edge 2021
Pls help with this, I have a lot of work and I'm trying to get it done faster
Answer:
C = 3b
Step-by-step explanation:
If each bottle costs 3 dollars, then the cost of b bottles would be 3b.
Someone help me with this please :)
Answer:
Order of Opperation:
1= 67
2= 255
3= 42
4= -37
5= 55
6= 4
Evaluate Expression:
1= -1
2= 0
3= 5
4= 6
integer opperation:
1. 6
2. -20
3. 18
4. -12
5. -13
6. -15
7. -5
8. 96
9. 0
10. 18
11. undefined or 0/6
12. -56
Conversion Table:
50%
25%
3/4 AND .75
33%
2 5/10 (If u need simplified it would be 1 1/2) AND 2.5%
1 5/10 (If u need simplified it would be 1 1/2) AND 1.5
If f(1) = 7 and f(n) = 5(n-1) + 2, then f(4) =
Answer:
f1 =7
f2 = 5(7) + 2 = 37
f3 = 5(37) + 2 = ?
f4 = 5(?) + 2 = ____
914
hopefully this makes sense
Put these values in order
from least to greatest:
6/5, 0.3815, 97%
Answer:
6/5, 0.3815, 97%
Step-by-step explanation:
6/5 = 1.2 = 12%
0.3815 * 100 = 38.15%
97%
Answer:
.3815, 97%, 6/5
Step-by-step explanation:
To keep this simple, just convert all of them into decimals. 6/5= 1.2 if you divide it. 97%= 0.97 because you divide the percent by 100 to get to the decimal. And finally, .3815 is already a decimal.
Now, you just sort it out. 1.2 is the largest number because it is the only one that is greater than 1. So that would go last
Now you compare .97 and .3815. To find out which one is greater, look in the tenths place, or the first digit after the decimal. 9 is obviously greater than 3 so .97 is greater than .3815.
Using this info we found, the smallest is .3815, then 97%, then 6/5
Which subsets of real numbers does 2 1/3 belong to?
Answer:
rational numbers set
Step-by-step explanation:
rational numbers are fractions and 2 1/3 = 7/3
my dad's old baseball card increased in value from $400 to $500. what was the percent increase?
Answer:
25%
Step-by-step explanation:
Please help this is due at midnight!!!!!!!!!
Describe how to optimize a function given a set of constraints.
The setup for this problem is written as l(x,y)= f(x,y)+λg(x,y)
For example, a common economic problem is the consumer choice decision. Households are selecting consumption of various goods. However, consumers are not allowed to spend more than their income (otherwise they would buy infinite amounts of everything!!). Let’s set up the consumer’s problem:
Suppose that consumers are choosing between Apples (A) and Bananas (B). We have a utility function that describes levels of utility for every combination of Apples and Bananas.
11
A 2 B 2 = Well being from consuming (A) Apples and (B) Bananas.
Next, we need a set of prices. Suppose that Apples cost $4 apiece and Bananas cost $2 apiece. Further, assume that this consumer has $120 available to spend. The income constraint is
$2B+$4A≤$120
However, the problem requires that the constraint is in the form g(x, y)≥ 0. In
the above expression, subtract $2B and $4A from both sides. Now we have 0≤$120−$2B−$4A
g(A, B) Now, we can write out the lagrangian
11
l(A,B)= A2 B2 +λ(120−2B−4A)
f (A, B) g(A, B)
Step II: Take the partial derivative with respect to each variable We have a function of two variables that we wish to maximize.
Therefore, there will be two first-order conditions (two partial derivatives that are set equal to zero).
To know more about function follow
https://brainly.com/question/22340031
#SPJ2
I WILL GIVE CORRECT ANSWER BRAINLIEST!! using the graph as your guide, complete the following statement. the discriminant of the function is______.
Answer:
B. Positive
Step-by-step explanation:
If there are 2 real roots, then the discriminant is always positive.
Answer:
B. position
Step-by-step explanation:
ap e x lol
What is the sum of the interior angles in the polygon below? Show and explain your work.
Answer:
HEXAGON:
Using the same methods as for hexagons to the right (I'll let you do the pictures)...
To find the sum of the interior angles of a dodecagon, divide it up into triangles... There are ten triangles... Because the sum of the angles of each triangle is 180 degrees... We get
So, the sum of the interior angles of a dodecagon is 1800 degrees.
Regular Dodecagons:The properties of regular dodecagons:
All sides are the same length (congruent) and all interior angles are the same size (congruent).
To find the measure of the angles, we know that the sum of all the angles is 1800 degrees (from above)... And there are twelve angles...
So, the measure of the interior angle of a regular dodecagon is 150 degrees.
The measure of the central angles of a regular dodecagon:
To find the measure of the central angle of a regular dodecagon, make a circle in the middle (I'll let you do the picture)... A circle is 360 degrees around... Divide that by twelve angles...
So, the measure of the central angle of a regular dodecagon is 30 degrees.
Can i get some help. To clarify this is homework not a test or etc...
Answer:
105/24
Step-by-step explanation:
The volume of a rectangular prism is length*width*height.
3/2 * 5/4 * 7/3 would be 15/8*7/3 which is 105/24, which is the fourth option.
[tex]answer = \frac{105}{24} \\ solution \\ volume \: of \: rectangular \: prism \\ = l \times b \times h \\ = \frac{3}{2} \times \frac{5}{4} \times \frac{7}{3 } \\ = \frac{105}{24} \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Which graph best represents the equation shown below?8x + 5y = 1
Answer:
linear graph
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
did the test
What is meant by the term financial planning?
a Long-term goals are reached over an extended period of time, so your current income does not affect
them.
b. It is creating a road map of everything you do with your money.
c. It is hoping you will have enough money to pay all your bills on time.
d. If your income exceeds your expenses, you will be able to save money for the future.
Please select the best answer from the choices provided
B
ОООО
D
Save and Exit
Next
Submit
Matkathisandrum
Answer:
a Long-term goals are reached over an extended period of time, so your current income does not affect
them.
Step-by-step explanation:
Financial planning refers to long term goals that are planned and reached over an extended period of time to keep one solvent in cases of emergency without having a direct effect on current income.
Solvency simply means having more assets than liabilities to be able to stay afloat of one's debts.
If 15 x a = 90, then a=
Answer:
A = 6
Step-by-step explanation:
to find a, divide 90 by 15
90 / 15 = 6
A set of wrist watch prices are normally distributed with a mean of 767676 dollars and a standard deviation of 101010 dollars. What proportion of wrist watch prices are between 636363 dollars and 909090 dollars? You may round your answer to four decimal places. S
Answer:
0.8224
Step-by-step explanation:
Data
mean: $76standard deviation, sd: $10first value of interest, x1: $63second value of interest, x2: $90z-score for x1:
z1 = (x1 - mean)/sd = (63 - 76)/10 = -1.3
z-score for x2:
z2 = (x2 - mean)/sd = (90 - 76)/10 = 1.4
The proportion of wrist watch prices are between $63 and $90 is:
P(z1 < z < z2) = P(z < 1.4) - P(z < -1.3)
P(z < 1.4) = 0.9192 (see first picture attached)
P(z < -1.3) = 0.0968 (see second picture attached)
P(z1 < z < z2) = 0.9192 - 0.0968 = 0.8224
I need help tell me the answer plz
70,000
Answer:
round 5 up which makes 9 a 10 which makes 6 a 7
Answer:
70000
Step-by-step explanation:
You would look at the number that is in the hundreds place vaule, which is 500 in this case. Whenever a number is above or equal to 5, you would round up. You would round the number to the next thousand, which is 70000.
Question 16 (5 points)
The first two terms of an arithmetic sequence are a1 = 2 and a2 = 5. Find a6, the
sixth term of the sequence.
OA) 27
B) 20
OC) 14
D) 17
Answer:
D. 17.
Step-by-step explanation:
The nth term of an arithmetic sequence (an) is a1 + d(n - 1) where a1 = first term and d = the common difference.
In this sequence d = a2 - a1 = 5 - 2 = 3.
a6 = 2 + 3(6 - 1)
= 2 + 3*5
= 17.
Answer:
Step-by-step explanation:
probably 17
Can anybody answer these questions. By the way the questions are seperated in different screenshots that i put.
Answer:
Sorry i can only answer one but the first one of the trapizoid is 76
Step-by-step explanation:
see picture
pls help i give u brainliest
Answer:
The answer is 324π m².
Step-by-step explanation:
Given that the surface area of sphere formula is S.A = 4×π×r² where r is radius. The diameter of sphere is 18m so you have to divide it by 2 to find it's radius :
[tex]radius = diameter \div 2[/tex]
[tex]radius = 18 \div 2[/tex]
[tex]radius = 9m[/tex]
Then substitute into the formula :
[tex]s.a = 4 \times \pi \times {r}^{2} [/tex]
[tex]let \: r = 9[/tex]
[tex]s.a = 4 \times \pi \times {9}^{2} [/tex]
[tex]s.a = 4 \times \pi \times 81[/tex]
[tex]s.a = 324\pi {m}^{2} [/tex]
Answer:
The answer is 324π m².
Step-by-step explanation:
Given that the surface area of sphere formula is S.A = 4×π×r² where r is radius. The diameter of sphere is 18m so you have to divide it by 2 to find it's radius
Lavern just turned 40 years old, so her credit score rose from 555 to 623,
According to the following table for a $150,000 mortgage, how much less per
year would Lavern have to pay on a $150,000 mortgage with the new credit
score?
FICO
Interest Monthly
Score
Rate Payment
720-850
5.59% $860
700-719
5.71% $872
675-699
6.25% $924
620-674
$1039
560-619
8.53% $1157
500-559
9.29% $1238
7.40%
A. $199
ООО
B. $1238
C. $1039
O D. $2388
Answer:
D
Step-by-step explanation:
($1238-$1039)×12=$2388
