Answer:
Sum of first 150 positive even integers is 22650Step-by-step explanation:
We know that first 150 postive even Integers are 2,4,6,8,10... 300.
Here,
First term (a) = 2 Comman difference (d) = 4 - 2 = 2 Total terms (n) = 150Last term (aₙ) = 300[tex]\\[/tex]
Substituting values in the formula:
[tex] \\ :\implies \sf \: \: S_{n} = \dfrac{n}{2} (a + a_{n}) \\ \\[/tex]
[tex] :\implies \sf \: \: S_{n} = \dfrac{150}{2} (2 + 300) \\ \\ [/tex]
[tex] :\implies \sf \: \: S_{n} = 75(302) \\ \\ [/tex]
[tex] :\implies \: \:{ \underline{ \boxed{ \pmb{ \pink { \rm{S_{n} = 22650 }}}}}} \\ \\[/tex]
Sum of first 150 positive even integers is 22650Answer:
The number series 2, 4, 6 , 8. . . . , 150.The first term (a) = 1The common difference (d) = 4 – 2 = 2Total number of terms (n) = 150last term (an) = 300Formula for finding sum of nth terms =
n/2 × (a + an)
putting the known values ,
Sum = 150/2 × ( 2+300)
Sum = 75 × 302
Sum of first 150 positive even integers = 22650
BRAINLIEST AND 50 PTS PLS HELP! There are 1900 households in Ludington. 50 households were surveyed randomly regarding the number of adults living in their home, and the results are displayed in this table.
1 2 3 4 5 or more
13 27 7 1 2
How many households in Ludington would you expect to have 2 adults living in their home?
Enter your answer in the box.
households
Answer:
1026Step-by-step explanation:
According to the table 27 out of 50 surveyed households have 2 adults living in their home.
Use same ratio to find the total expected number:
1900*27/50 = 38*27 = 1026he table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x) = 2x. x 0 1 2 3 4 g(x) -11 -10 -8 -4 4 Determine the size of the shift from function f to function g. Then, plot the points of a function that is shifted only half as much as g from the parent function, f. Use the same x-values as used in the table for function g.
Answer:
1. The size of shift from function f to function g is -12
2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.
Step-by-step explanation:
Parent function: f(x)=2^x
x=0→f(0)=2^0→f(0)=1
x=1→f(1)=2^1→f(1)=2
x=2→f(2)=2^2→f(2)=4
x=3→f(3)=2^3→f(3)=8
x=4→f(4)=2^4→f(4)=16
Size of the shift from function f to function g: s
s=g(0)-f(0)=-11-1→s=-12
s=g(1)-f(1)=-10-2→s=-12
s=g(2)-f(2)=-8-4→s=-12
s=g(3)-f(3)=-4-8→s=-12
s=g(4)-f(4)=4-16→s=-12
Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:
s2=s/2→s2=(-12)/2→s2=-6
x h(x)
0 1+(-6)=1-6=-5
1 2+(-6)=2-6=-4
2 4+(-6)=4-6=-2
3 8+(-6)=8-6=2
4 16+(-6)=16-6=10
1. Can we add any two matrices
together? If so, explain why; if
not, explain why not and give an
example of two matrices that
cannot be added together.
Step-by-step explanation:
If we add two matrices,
there rows and columns must be the same.
For example, consider matrix
[tex] \binom{4}{2} \binom{1}{3} + \binom{5}{9} [/tex]
we cant add these matrices by the first martix had 2 colums and 2 rows.
The second has 1 column and 2 rows.
Simplify. 4 4/5 - 3 2/5
A. 1 1/5
B. 1 2/5
C. 7 6/5
D. 8 1/5
Answer:
3/2= 1 1/2
Step-by-step explanation:
simply 3/2 as a decimal
A rectangle has a height of 4 and a width of x^2+3x+2
Answer: The area of this rectangle is x² + 12x + 8
Step-by-step explanation:
Area of a rectangle:
A = L * W
A = L * W
A = 4 * (x² + 3x + 2)
A = 4x² + 12x + 8
PLEASE HELP PLEASE HELP PLEASE
Answer:
384 cm
Step-by-step explanation:
Perimeter is the sum of all external sides. (do not mix this up with area. Perimeter is the easy one) :)
There are 4 external sides.
Top = bottom = 132 cm
Left = Right = 60 cm
Add all 4 sides:
2(132) + 2(60)
264 + 120 = 384 cm
WILL MARK BRAINLIEST
Answer:
3x 10^4 NOT NEGATIVE! POSITIVE
6.4 divided by 27.04 spectrum math
Answer:
40/169
Step-by-step explanation:
There is a pile of football cards and a pile of baseball cards at a garage sale. The probability that you randomly choose a quarterback from the football cards is 1/15. The probability that you randomly choose a quarterback and a pitcher is 1/315. There are 6 pitcher baseball cards. How many baseball cards are in the pile?
Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment. A 5-column table with 2 rows. Column 1 is labeled Bond with entries A B C 7 and one-half 15, X Y Z 7 and three-fourths 15. Column 2 is labeled current yield with entries 7.5, 8.4. Column 3 is labeled volume with entries 128, 17. Column 4 is labeled Close with entries 104 and three-fourths, 100 and one-half. Column 5 is labeled net change with entries blank, + one-fourth. What price would you pay for each bond if you purchased one of them today? (Remember the face value is $1000.) a. ABC: $1047.50 XYZ: $1005.00 b. ABC: $1104.75 XYZ: $1100.50 c. ABC: $872 XYZ: $983 d. ABC: $750 XYZ: $840
Answer:
It’s c
Step-by-step explanation:
Bond A and C the annual interest rate is 1.126%.
Bond X and Y the annual interest rate is 1.25%.
What is Annual Interest?The interest rate on a credit card is the cost of borrowing money. Interest rates on credit cards are often provided as an annual rate. This is known as the annual percentage rate (APR). You can avoid paying interest on purchases on most cards if you pay your amount in full each month by the due date.
The formula for Bond Coupon Rate
Bond Coupon Rate = Bond's current yield / 100
For bond A and C coupon rate is 7.5%.
For X and Y coupon rate is 8.4%.
Now, Annual Interest Rate
= Bond coupon rate x Bond's Face value
For bond A and C the annual interest rate
= 7.5% of $15
= $1.125
For bond X and Y the annual interest rate
= 8.4% of $15
= $1.26
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Select the correct answer.
Simplify the following expression.
7-8.77
A.
1
14
B.
49
O C. 14
D.
1
49
Answer:
B=49
Step-by-step explanation:
multiply means add powers
YOU KNOW THAT THE SUM OF THE ANGLES IN A QUADRILATERAL IS 360 DECREES. HOW CAN THIS HELP YOU REMEMBER THAT THE SUM OF THE ANGLES IN A TRIANGLE IS 180 DECREES?
pleaseeeee help
Answer:
that can help because all you need to remember is that the sum of the angles in a triangle is half of the sum of the angles that add up in a quadrilateral.
Vectors u and v are shown on the graph.
Please help, I need this asap
Answer:
it's 10
Step-by-step explanation:
A ratio of 2:5 means it is probably counting by 5s. Since 5 X 5 equals 25, 2 X 5 equals 10. since ethe larger polygon is 25, this means the number can't be bigger than 25 so it is counting by fives.
A spring with spring constant 380 N/m has a force of 37 Newtons applied to it (stretching it). How much does the spring stretch?
Since a force of 37 N is applied to the spring, the spring stretches by 9.74 cm
To answer the question, we need to know Hooke's law.
What is Hooke's law?This states that the force, F on a stretched spring is directly proportional to its extension, x.
So, F ∝ x
Mathematically, F = kx where k = spring constant
The extension of the spring(How much the spring stretches)Making x subject of the formula, we have
x = F/k
Given that F = 37 N and k = 380 N/m, we have
x = F/k
x = 37 N/380 N/m
x = 0.0974 m
x = 9.74 cm
So, the spring stretches by 9.74 cm
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Evan is thinking of a number that contains the digit 2. The digit 2 in Evan's number has 10 times the value of the digit 2 in the number 328,907.
Which number could be the number that Evan is thinking of?
127,905
145,298
290,837
352,987
HELP PLEASE!!!!!!
Answer:
The answer is 290,837
What does the sign of your answer (whether it is positive or negative) say about the area of the triangle at that moment?
Answer:
For ur information...
Area can never be negative
It will always be positive
The product of two consecutive odd integers is 1155. Determine the integers.
Answer:
Two possibilities --- see below
Step-by-step explanation:
x first number x+2 the next number
x * (x+2) = x^2 + x = 1155
x^2 +2 x - 1155 = 0 Quadratic formula shows
x = 33 then 33, 35
or x = -35 then -35 , - 33
please help with this
Answer:
A
a notebook costs $2.50
a poem costs $1.50
B
he can buy 3 pens (and correspondingly 9 notebooks)
Step-by-step explanation:
x = price of 1 notebook
y = price of 1 pen
4x + 3y = 14.5
5x + 6y = 21.5
let's multiply the first equating by -2 and then add both equations
-8x - 6y = -29
5x + 6y = 21.5
----------------------
-3x 0 = -7.5
x = 2.5 = $2.50
4×2.5 + 3y = 14.5
10 + 3y = 14.5
3y = 4.5
y = 1.5 = $1.50
p = number of pens
n = number of notebooks
n = 3p
p×1.5 + n×2.5 = 27
p×1.5 + 3p×2.5 = 27
(1.5 + 7.5)p = 27
9p = 27
p = 3
Which ordered pair is shown on the graph?
6
5
4
3
2
1
COL + 0
1 2 3 4 5 6 7
Enter the number that belongs in the green box.
([?],[)
Answer:
4
Step-by-step explanation:
(4,5)
Solution:First, check the x-coordinate of the point.The x-coordinate is 4 (that's the number that belongs in the green box).Now, check the y-coordinate.It is equal to 5.Remember, coordinates look like this:(x,y)Hope it helps.
Do comment if you have any query.
What is the equation of the circle?
Answer: C: (x - 4)² + (y+2)² = 25
Step-by-step explanation:
The formula for a circle is: (x - h)^2 + (y - k)^2 = r^2
Using this, the formula should be:
C: (x - 4)² + (y+2)² = 25
I need help I don’t understand it what to do
HELP ME PLEASE!!
Find the length of segment SV.
A)
13/2
B)
26
C)
5.2
13
D)
V2
Answer:
check photo for detailed analysis
Find the total amount of the mortgage if the closing costs are financed. 1. Jack and Dina King purchase a home with a mortgage loan of $420,000.
The total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.
What are closing costs?Closing costs of a mortgage are the extra expenses that property buyers and sellers usually incur in a real estate transaction.
Some of the closing costs include:
Loan origination feesDiscount pointsAppraisal feesTitle searchesTitle insuranceSurveysTaxesDeed recording feesCredit report charges.Question Completion and Calculations:
Closing costs:Application Fee $252
Borrower’s Credit Check $65
Points 2.00% of Mortgage = $8,400 ($420,000 x 2%)
Appraisal Fee $325
Title Search $212
Title Insurance $410
Inspection $350
Attorney Fee $450
Documentation Stamp 0.30% of Mortgage = $1,260 ($420,000 x 0.30%)
Processing Fee 1.10% of Mortgage = $4,620 ($420,000 x 1.1%)
Total closing costs = $16,344
Mortgage loan = $420,000
Total amount of financing required = $436,344 ($420,000 + $16,344)
Thus, the total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.
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A chord divides a circle into ______ segments. one three four two
Answer:
chord divides a circle into two segments
Step-by-step explanation:
please consider as brainlest if i helped yoy
Answer:
Two
Step-by-step explanation:
A chord divides a circle into two segments
Please answer asap !!
Answer:
48 square units
Step-by-step explanation:
area of triangle = base * height / 2
base = x+1
height = 8x
area = (x+1)(8x)/2 = (8x²+8x)/2 = 4x²+4x
area of rectangle = length * width = (5x+1)(x) = 5x²+x
set the two areas to be equal to each other
5x²+x = 4x²+4x
divide both sides by x as that is a multiple of each value on each side
5x + 1 = 4x + 4
subtract 4x from both sides to limit the variable to one side
x + 1 = 4
subtract both sides by 1 to isolate the variable
x = 3
area = (5x+1)(x) = (5*3+1)(3) = 16 * 3 = 48 square units
Which is the graph of f(x) = 100(0.7)^x?
Answer:
y = 0
Here's the graph:
Answer:
Graph A. On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Step-by-step explanation:
Edge
[tex]If \: \: a + \frac{1}{a} = 3 \: prove \: that \: {a}^{2} \frac{1}{ {a}^{2} } = 7[/tex]
.....................
Answer -
a+1/a = 3 -----(1)
a²+1/a² = 7
By doing square of equation 1
(a+1/a)² = 9
a²+1/a²+ 2 ×a × 1/a = 9 using (a+b)²=a²+b²+2ab
a²+1/a²+2=9
a² + 1/a² = 9-2
a²+1/a²= 7 Ans.
Please help me solve
Answer:
x = 36.3°
using tane rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
Here!
x = missing angleopposite = 22adjacent = 30=============
[tex]\hookrightarrow \sf tan(x) = \dfrac{22}{30}[/tex]
[tex]\hookrightarrow \sf x= tan^{-1}(\dfrac{22}{30} )[/tex]
[tex]\hookrightarrow \sf x= 36.253^{\circ \:}[/tex]
[tex]\hookrightarrow \sf x= 36.3^{\circ \:}[/tex] ( rounded to nearest tenth of a degree)
Let's find
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{22}{30}[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{11}{15}[/tex]
[tex]\\ \rm\Rrightarrow tan\theta=0.734[/tex]
[tex]\\ \rm\Rrightarrow \theta=tan^{-1}(0.734)[/tex]
[tex]\\ \rm\Rrightarrow \theta=36.278°[/tex]
[tex]\\ \rm\Rrightarrow \theta=36.3°[/tex]
factor the expression 90+36
Answer:
18 is the factor of 90 and 36 the rest are 1,2,3,6,9 hope it helps:)
Step-by-step explanation: