Answer:
15050
Step-by-step explanation:
Hello!
So basically, this arithmetic sequence follows the rule (3n-1). What you are looking for is the summation of (3n-1) with a lower limit of 1 and an upper limit of 100. This, plugging it into a calculator (etc. symbolab) or even calculating it manually, we get ∑↑100↓n=1⇒3n-1=15050.
Answer:
S₁₀₀ = 15050
Step-by-step explanation:
There is a common difference between consecutive terms
5 - 2 = 8 - 5 = 3
This indicates the sequence is arithmetic with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , then
S₁₀₀ = [tex]\frac{100}{2}[/tex] [ (2 × 2) + (99 × 3) ]
= 50 (4 + 297)
= 50 × 301
= 15050
Fill in the table to explore the graph.
Miles Walked by Alonso
" Time (hours) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
Miles Walked
6
V
16
12
Miles
8
4
X
1
4
3
Time (hours)
time
Answer:
Step-by-step explanation:
so you have divide ok by my and divide 5x1
I need help right now this is urgent
Check the attached image
what is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)
9514 1404 393
Answer:
x = -3/2
Step-by-step explanation:
The zeros of the function are the values of x that make the factors zero:
x = -4, x = 1
The axis of symmetry is the vertical line halfway between these zeros.
x = (-4 +1)/2 = -3/2
The equation of the axis of symmetry is x = -3/2.
Which graph represents the piecewise function?
Answer:
C i think sorry if its wrong
Step-by-step explanation:
Answer:
bottom left one
note the >, < ≤ , ≥
for x > 0 the dot should NOT be solid
Step-by-step explanation:
If < A and < B are vertical angles, and < A = 2x - 11 degrees, and < B = x + 7 degrees, find x.
Answer:
x=18
Step-by-step explanation:
Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.
1) [tex]2x-11=x+7[/tex]
2) [tex]x-11=7[/tex]
3)[tex]x=18[/tex]
Given the circle, find the arc measure
Answer:
130°
Step-by-step explanation:
Express the function f(x) =3x^2-6x-18 in the form a(x + h)^2=k, where a, h and k are constants.Hence state the :
(i) the minimum value of f(x).
(ii) the value of x for which f (x) is a minimum
Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1
To paint a wooden cube, Pinocchio needs 4 grams of paint. When it is dry, he cut the cube into 8 smaller pieces of smaller size. How much paint additional paint does Pinocchio need to paint the unpainted surfaces of the smaller cubes
Answer:
9 grams of paint
Step-by-step explanation:
6×8=48
48÷4= 12
48-12=36
36÷4=9
first multiply 6 by 8 because a cube has six faces and you cut that cube eight times
second after you cut that you will have 48 faces and for every six faces there are 4 grams of paint so you divide 48 by 4 and you get 12 this means that 12 of the faces are painted
next you subtract 12 from 48 and you get 36 this means that 36 faces are not painted
lastly you divide 36 by 4 and you will get 9 grams of paint
Factorise.. 25a sq. - 9b sq. please tell the answer
Answer:
(5a + 3b)(5a - 3b)Step-by-step explanation:
Given,
[tex] {25a}^{2} - {9b}^{2} [/tex]
[tex] = {(5a)}^{2} - {(3b)}^{2} [/tex]
Since,
[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]
Then,
= (5a + 3b)(5a - 3b) (Ans)
List pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons. Given ABDF ~ VXZT
** I NEED HELP I KEEP GETTING IT WRONG**
Given:
[tex]ABDF\sim VXZT[/tex]
To find:
The pairs of congruent angles and the extended proportion that relates the corresponding sides for the similar polygons.
Solution:
We have,
[tex]ABDF\sim VXZT[/tex]
The corresponding angles of similar polygons are congruent. So,
[tex]\angle A\cong \angle V[/tex]
[tex]\angle B\cong \angle X[/tex]
[tex]\angle D\cong \angle Z[/tex]
[tex]\angle F\cong \angle T[/tex]
The corresponding sides of similar polygons are proportional. So,
[tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex]
Therefore, the required solutions are [tex]\angle A\cong \angle V,\angle B\cong \angle X,\angle D\cong \angle Z,\angle F\cong \angle T[/tex] and [tex]\dfrac{AB}{VX}=\dfrac{BD}{XZ}=\dfrac{DF}{ZT}=\dfrac{A F}{VT}[/tex].
please! help me i need it rn
Answer:
It is the last option.
Jordan needs 1 1/2 cups of diced chicken for 3 salads.
To make this easy for you.
1. start on the x axis which is number of salads.
2. Go to the number 3 (of the x axis which is the number of salads)
3. Find your way up to the point marked.
4. see what is your number in the y-axis (in this case it is 1 1/2.
Step-by-step explanation:
I hope it helps!
These figures are similar. The
area of one is given. Find the
area of the other.
3 in
Answer:
12 in^2
Step-by-step explanation:
The figure with the given area is twice as big as the small figure and these are similar figures. Therefore we divide 24/2 = 12
HELP ME ASAP PLEASEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
y = 3x ..... 1:3
y=9x ...... 1:9
Step-by-step explanation:
if tge angle at the center is 62° and the radius is 12 cm.. find the length of arc
Answer:
Step-by-step explanation:
r = 12 cm
Theta = 62
Length of arc = [tex]\frac{theta}{360}*(2\pi r)[/tex]
[tex]=\frac{62}{360}*2*3.14*12[/tex]
= 12.98 cm
Lena is asked to write an explicit formula for the graphed geometric sequence.
On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).
What value, written as a decimal, should Lena use as the common ratio
Answer:
Common Ratio = 2.5
Step-by-step explanation:
Given
Points: (1, 1), (2, 2.5), (3, 6.25)
Required
Determine the common ratio
The points can be rewritten as:
x --- f(x)
1 ---- 1
2 --- 2.5
3 ---- 6.25
The data under the x column are the domain of the function and in this case, they are not needed;
To calculate common ration, Lena should use data in function f(x) column
Common ratio is calculated by dividing a term by the previous term;
Hence;
Common Ratio = 2.5/1 or 6.25/2.5
Common Ratio = 2.5 or 2.5
Notice that, the results are the same;
Hence, the usable common ratio is 2.5
Answer: 2.5 or "C"
Step-by-step explanation: this is right on the edge i just did the test.....Hope this helps :D
Help anyone can help me do this question,I will mark brainlest.
Answer:
[tex]344 {cm}^{2} [/tex]
Step-by-step explanation:
[tex]area \: of \: the \: square \\ = 40cm \times 40cm \\ = 1600 {cm}^{3} \\ [/tex]
[tex]area \: of \: the \: circle \\ = \pi {r}^{2} \\ = 3.14 \times {(20)}^{2} \\ = 3.14 \times 400 \\ = 1256 {cm}^{2} \\ [/tex]
[tex]area \: of \: shaded \: region \\ = 1600 {cm}^{2} - 1256 {cm}^{2} \\ = 344 {cm}^{2} \\ [/tex]
SOMEONE HELP ME PLEASE
In Reba's toy bin there are 15 red blocks. There are 16 more yellow blocks than red blocks. There are also 13 more blue blocks than red blocks. How many blocks are there in all?
Answer:
74
Step-by-step explanation:
16 more than 15 equals 31
13 more than 15 = 28
15 + 31 + 28 = 74
complete the statements about the closure of sets
Answer:
Step-by-step explanation:
The first box is 'not closed'
Second is ' an element'
Third = 'closed' and last is 'an element'.
Using only the values given in the table for the function f(x) = x^3 - 3x - 2 what is the interval of x-values over which the function is decreasing?
Answer:
3 = 3(x² - 1) We know, any Function f(x) decrease s in interval [a, b] when f'(x) < 0 ... -1 < x < 1. Hence, function f(x) = x³ - 3x - 2 , is decreased in (-1, 1).
5. Which expression is a simplified form of (3x2 + 2x - 4) + (-7x2 + 6x - 2)?
a 10x2 + 8x - 6
b. -4x2 + 8x - 2
C.-4x2 + 8x + 2
d. -4x2 + 8x - 6
Answer:
d. -4x² + 8x - 6
Step-by-step explanation:
(3x² + 2x - 4) + (-7x² + 6x - 2)
3x² + 2x - 4 - 7x² + 6x - 2
3x² - 7x² + 2x + 6x - 4 - 2
-4x² + 8x - 6
help please...what is the locus of the midpoints of all chords that can be drawn from a given point on a circle with a radius of 6. be exact with your answer.
Answer:
the answer is a
Step-by-step explanation:
sory lawl
i mean e
answer e!
good luck w summer geometoery
please, help! i really need it !! like rnnn!
8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem. There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.
Answer:
Heights of 29.5 and below could be a problem.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.
This means that [tex]\mu = 32, \sigma = 1.5[/tex]
There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.
Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 32}{1.5}[/tex]
[tex]X - 32 = -1.645*1.5[/tex]
[tex]X = 29.5[/tex]
Heights of 29.5 and below could be a problem.
Please help me solve this
Answer:
43
78
56
Step-by-step explanation:
[tex]\sqrt{\\\frac{9+\sqrt{17} }{2}[/tex]
[tex]\huge\underline\pink{✏ANSWER}[/tex]
Hello and sorry but it's a Gatheted Question Can you fix it Can you?Sorry for answering a nonsense
#BrainliestBunch
Can someone help me with this question immediately with an explanation??!! Plsss
Answer:
the number of senors is 150
Step-by-step explanation:
call the number of seniors is a
we have number of juniors is 4/3a
number of sophomores is 3/2*4/3*a=2a
number of freshmen is also =2a
sum of all studens in that school = a+4/3a+4a=950
a=150
It’s urgent please help
f(x) = x2 What is g(x)?
Answer:
D
Step-by-step explanation:
g(x) = 9x^2 satisfy the point (1,9).
