Find the sum of -50 + (-44) + (-38) + ... + 2038 + 2044.
Answer:
3950
Step-by-step explanation:
-50 + (-44) + (-38) + 2038 + 2044
-94 + (-38) + 2038 + 2044
-132 + 2038 + 2044
1906 + 2044
3950
Hope this helps :)
Solution:
348950
Explanation:
first lets confirm, which series this is from,( first term + third term )/2 = second term
(-50 + (-38) )/2 = -44-44 = -44Thus it is arithmetic series.
[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]
Solving step-wise:
a₁ = -50aₙ = 2044n = ? = 350d = + 6=================
aₙ = a₁ + d(n-1)2044 = -50 + 6(n-1)6(n) - 6 = 20946(n) = 2100n = 350Here,
[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]
[tex]\sf S_n = \dfrac{350}{2} (2(-50)+(350-1)(6))[/tex]
[tex]\sf S_n =348950[/tex]
A certain third-degree polynomial function has zeros at-5, -1, and 2. Which could NOT be a factor of the expression that defines the function?
7 - 1
Answer:
I am pretty sure it is the second option
Step-by-step explanation:
Hope this helps
please help :)))))) <33
Answer:
56
Step-by-step explanation:
You need to divide 20/16 and 70*z to find the missing length.
The area of a rectangle is 5 x cubed + 19 x squared + 6 x minus 18 with length x + 3. using synthetic division, what is the width of the rectangle?
5 x squared + 4 x minus 6
5 x squared + 34 x + 108 + startfraction 306 over x + 3 endfraction
5 x cubed + 4 x squared minus 6 x
5 x squared + 34 x + 108 + startfraction 306 over x minus 3 endfraction
A rectangle is a 2-dimensional shape having 4 sides. The width of the rectangle is 5x^2 + 4x - 6
How to find the quotient of a function using synthetic division?A rectangle is a 2-dimensional shape having 4 sides
The formula for calculating the area of the rectangle is given as:
A = lw
Given the following
Area = 5x^3+19x^2+6x-18
Length = x + 3
Using the synthetic division:
5x^2 + 4x - 6
x + 3 | 5x^3+19x^2+6x-18
5x^3 + 15x^2
________________________
4x^2 + 6x
4x^2 + 12x
__________________________
-6x - 18
-6x - 18
Hence the width of the rectangle is 5x^2 + 4x - 6
Learn more on area of rectangle here: https://brainly.com/question/25292087
Answer:
A
Step-by-step explanation:
I need help with Function Operations please
Answer:
30
Step-by-step explanation:
The ring operator signifies a composition of functions. The composition is evaluated right-to-left. That means the composition ...
[tex](f\circ g)(x)[/tex]
should be interpreted to mean ...
[tex]f(g(x))[/tex]
___
To evaluate f(g(6)), we first evaluate g(6):
g(6) = 6² -5 = 31
Then we evaluate the function f using that as its argument:
f(31) = 31 -1 = 30
f(g(x)) = 30
Please help The diagram below shows a square prism. The plane ABC is inside the
prism, and M is the midpoint of the base diagonal BC. MD. = square root 18
b Hence find, correct to the nearest degree, the angle that the plane ABC
makes with the base of the prism. Diagram is attached below.
Answer:
43°
Step-by-step explanation:
Triangle ADM is a right triangle with legs AD=4 cm and DM=√18 cm. The angle at M is the angle of interest. It can be found using the inverse tangent function.
Tan = Opposite/Adjacent
tan(∠AMD) = AD/MD = 4/√18
∠AMD = arctan(4/√18) ≈ 43.31°
The angle the plane makes is about 43°.
Answer:
the measure of the angle that the plane ABC makes with the base of the prism = 43 degree (to the nearest degree)
Step-by-step explanation:
We notice that the plane ABC and the base of the prism intersect along the line BC
And as the plane (ADM) is perpendicular to the line BC
then the angle between the plane ABC and the base of the prism is the angle AMD
Let θ be the measure of the angle AMD
[tex]\begin{aligned}\tan (\theta) &=\frac{A D}{M D} \\&=\frac{4}{\sqrt{18}}\end{aligned}[/tex]
[tex]\begin{aligned}\Rightarrow \theta &=\tan ^{-1}\left(\frac{4}{\sqrt{18}}\right) \\&=43,31385 \ldots\end{aligned}[/tex]
completing the square k^2-2k-8=0
[tex]~~~~k^2-2k-8=0\\\\\implies k^2 - 2k +1^2-1-8=0\\ \\\implies ( k-1)^2-9=0\\\\\implies (k-1)^2-3^2 =0\\\\\implies (k-1-3)(k-1+3)=0\\\\\implies (k-4)(k+2)=0\\\\\implies k=4,~~ k= -2[/tex]
What is the range of the fallowing numbers 29, 47, 32, 36, 57, 20, 39, 38, 52, 51, 28, 24, 44, 40, 45, 35, 50, 50, 32, 31
Answer: 37
Step-by-step explanation:
range = max - min
max = maximum value in a data set
min = minimum value in a data set
Maximum value: 57
Minimum value: 20
Range: 37
Answer:
37
Step-by-step explanation:
First of all, let's define what range is. The range is the highest value of a set of numbers minus the lowest value of the same set. In this case, your highest value is 57 and your lowest value is 20. The sum would be 57 - 20 which would equal 37 and that is your answer.
Hope I helped you out :)
HELP!!! On 4 6 and 7
The difference of two numbers is 4 and their product is 60. Find the numbers.
Answer:
x = 10; y = 6
Step-by-step explanation:
Let's list the factors of 60 because the product of those numbers is 60.
⇒ Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60The following possibilities of x and y are possible using (x × y = 60):
60 and 1 ⇒ x = 60; y = 1 ⇒ 60 × 1 = 6030 and 2 ⇒ x = 30; y = 2 ⇒ 30 × 2 = 6020 and 3 ⇒ x = 20; y = 3 ⇒ 20 × 3 = 6015 and 4 ⇒ x = 15; y = 4 ⇒ 15 × 4 = 6012 and 5 ⇒ x = 12; y = 5 ⇒ 12 × 5 = 6010 and 6 ⇒ x = 10; y = 6 ⇒ 10 × 6 = 60Let's check each possibilities using the equation (x - y = 4):
60 and 1 ⇒ 60 - 1 = 59 ≠ 430 and 2 ⇒ 30 - 2 = 28 ≠ 420 and 3 ⇒ 20 - 3 = 17 ≠ 415 and 4 ⇒ 15 - 4 = 11 ≠ 412 and 5 ⇒ 12 - 5 = 7 ≠ 410 and 6 ⇒ 10 - 6 = 4 = 4 (Correct)Thus, the values of x and y are 10 and 6 respectively.
Surface Area:Question 6
What is the total surface area of the figure shown?
Select one:
96 square feet
60 square feet
0 72 square feet
36 square feet
[tex]\qquad\huge\underline{{\sf Answer}} ♨[/tex]
Total surface area :
[tex]\qquad \sf \dashrightarrow \:2(lw + wh + lh)[/tex]
[ l = Length, w = width, h = height ]
[tex]\qquad \sf \dashrightarrow \:2 \{(6 \times 2) + (2 \times 3) + (6 \times 3) \}[/tex]
[tex]\qquad \sf \dashrightarrow \:2 \{12 + 6+ 18\}[/tex]
[tex]\qquad \sf \dashrightarrow \:2 (36)[/tex]
[tex]\qquad \sf \dashrightarrow \:72 \: ft {}^{2} [/tex]
Show that x = -5 is a solution to the inequality 18x − 42 ≠ 7x
Answer:
See Below
Step-by-step explanation:
Put -5 in place of x
18(-5)-42 does not equal 7(-5)
-90-42 does not equal -35
-90-42=-132, not -35
The value x = -5 is a solution to the inequality 18x − 42 ≠ 7x.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.
For showing x =-5 is a solution of the inequality 18x − 42 ≠ 7x put x =-5 in the solution if it satisfies the condition then it is a solution of the given inequality.
18x − 42 ≠ 7x
18 x ( -5 ) - 42 ≠ 7 x ( -5 )
-132 ≠ -35
The value x = -5 is satisfying the given inequality. Hence, x = -5 is a solution to the inequality 18x − 42 ≠ 7x.
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ2
What's 19 to the power of 63? Brain fart-
Answer:
2.5782963e+29
Step-by-step explanation:
basically 19 times itself 63 times
Answer:
19^63 , 3.6431483821774E+80
Step-by-step explanation:
Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths.
Answer:
for number 6 the width is 24 and the blank after the length of 9 is 12 and after 48 width it is 60. your welcome.
Find the measures of all angles and sides
Answer:
See attached image. 82 and 98 degrees.
Step-by-step explanation:
On attached document.
if the price of small box is $20 and the price of large box is $45. what is the greatest amount of money he received when he sells all the boxes he has made? For this amount of money how many boxes of each size did he make
Answer:
in order to know the money that he receive first the type and amount of box must be described unless the question may not have answer.
Need help on this. can anyone help please?
Answer:
it is B
Step-by-step explanation:
that's because line goes through (0,0)
What is the value of n when 2/3 of n equals 42?
Use the bar graph below to answer the following question.
Which girl is the shortest?
Answer:
ling
Step-by-step explanation:
you just have to compair the girls
and from the bar gragh ling is he sortest.
What is the answer to this?
Answer:
-8
Step-by-step explanation:
[tex]\ \ \ \ \ \ \dfrac{-9 -7}{2} \\\\\\= \ \ \ \dfrac{-16}{2} \\\\\\= \ \ \dfrac{-(2^{4} )}{2^{1} } \\\\\\= \ \ -(2^{4 - 1}) \\\\\\ = \ \ -(2^{3})\\\\\\= \ \ - (2 \times 2 \times 2) \\\\\\= \ \boxed{-8}[/tex]
Answer:
-8
Step-by-step explanation:
110 4t + 90 t=?
Please help!
Answer:
because of some theorm or postulate i forget the name of, angles on opposite sides are equal
110 = 4t + 90
20 = 4t
5 = t
t is equal to 5 degrees
The angle turns through 1/5 of the circle.What is the measure of the angle?
1. Jack pulls a sled across a frozen pond. The force he pulls with is 30 newtons and he does 4500 joules of work to get the sled across the pond. How far does he pull the sled?
Answer:
150m
Step-by-step explanation:
work = force x distance
w=fd
d=w/f
d= 4500/30 = 150
find the volume
6ft
4ft
3ft
(i know it’s not 72)
Answer:
[tex] \fbox{Volume \: of \: pyramid \: = 24 ft³}[/tex]
Step-by-step explanation:
Given:
shape of object = Pyramidal
length of base l= 4ft
width of base w = 3ft
height of pyramid h = 6 ft
To find:
volume of pyramid = ?
Solution:
[tex]Volume \: of \: pyramid= \frac{l \times w \times h}{3} \\ Volume \: of \: pyramid= \frac{6 \times 4 \times 3}{3} \\ Volume \: of \: pyramid= \frac{24 \times \not3}{ \not3} \\ Volume \: of \: pyramid= 24 \: {ft}^{3} [/tex]
[tex] \fbox{Volume \: of \: pyramid \: = 24 ft³}[/tex]
Thanks for joining brainly community!How many members did not vote there is 75% and 60 people?
Answer:
15
Step-by-step explanation:
if 75% voted that is 45 people meaning 15 did not vote.
Please answer. I need it to be right.
Answer:
75
- _____________
10x^4−27
Step-by-step explanation:
Answer:
Step-by-step explanation:
First we do all brcakets becuase we are following the law of BODMAS.
2×-5×3 = -10×3= -30
Now we do all powers and indices:
-5²= 25
10²= 100
3³ = 27
Now we do the top of the fraction:
25+100 = 125
Now we do the bottom bit of the fraction:
-30+27 = -3
Now we divide 125 by -3:
-41 2/3
-41.666.....
NEED ANSWER ASAP How many people drive less than 30 km to work?
Answer:
20 peopleStep-by-step explanation:
According to the graph we have
10 km = 11 people20 km = 9 peopleTheir sum is
11 + 9 = 20 peopleYo I need to bring up my grade bad so
3x=3y-6
(please show it graphed already :D)
Answer:
Step-by-step explanation:
Proving circles are similar: Choose any of the transformations that would be a step in proving that Circle A is similar to Circle C. Select ALL that apply.
A.
Reflect A over the line y=x
B.
Translate C (x+5,y-4)
C.
Dilate A by 3/2
D.
Dilate C by 3/2
E.
Translate A by (x-5, y+4)
The transformations that would prove that circles A and C are similar are:
A. Reflect A over the line y=xC. Dilate A by 3/2How to prove that circle A and circle C are similar?The circles are given as:
Circle A and B
Assume the following parameters:
The center of circle A is (2,3) with a radius of 2The center of circle B is (3,2) with a radius of 3To start with;
The circle A must be reflected across the line y = x with the following transformation rule:
(x,y) -> (y,x)
So, we have:
(2,3) -> (3,2)
Next, the radius of A must be dilated by 3/2 as follows:
New Radius = 3/2 * 2 = 3
After the transformations, we have the following parameters:
The center of circle A is (3,2) with a radius of 3The center of circle B is (3,2) with a radius of 3Notice that both circles now have the same center and radius.
Hence, both circles are similar
Read more about similar circles at:
https://brainly.com/question/9177979
What is the equation, in slope-intercept form, of the line that contains the points (4, 11) and (-4, -5)? A. y = 2x + 3 B. y = -2x - 3 C. y = 3x + 2 D. y = 3x - 2
Answer:
A. y = 2x +3
Step-by-step explanation:
