100 = 10², so the sum you're considering is the sum of squared integers starting with 10.
[tex]\displaystyle 100+121+144+168+\cdots+n^2+\cdots = \boxed{\sum_{k=10}^\infty k^2}[/tex]
[tex]f(x)=e^{3x} .sinx[/tex] . tính [tex]d^{2} f(0)[/tex]
Answer:
6
Step-by-step explanation:
đạo hàm cấp 2 của f(x) rồi thế 0 vào
a. 312
b. 317
c. 315
d. 316
Answer:
B.) 317
Step-by-step explanation:
100/2 = 50
124/2 = 62
180/2 = 90
634/2 = 317
f(x) = 4-x2 and g=(x)=2x+5 what is the value of (f(g(-2))
Answer:
f(g(-2)) = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 4 - x²
g(x) = 2x + 5
Step 2: Find g(-2)
Substitute in x [Function g(x)]: g(-2) = 2(-2) + 5Multiply: g(-2) = -4 + 5Add: g(-2) = 1Step 3: Find f(g(-2))
Substitute in x [Function f(x)]: f(g(-2)) = 4 - (1)²Evaluate exponents: f(g(-2)) = 4 - 1Subtract: f(g(-2)) = 3Which key correctly represents the information below? A. 11 | 2 = 12 B. 1 | 2 = 12 C. 11 | 2 = 112 D. 11 | 2 = 13
Answer:
The answer is (B) 1/2=12
Please help me with this on the image
Answer:
a) Obtuse angle b) Reflex angleDetermine the quadrant in which the terminal side of the given angle lies. -750°
Answer:
Quadrant 4
Step-by-step explanation:
If the given angle was positive, then we go clockwise.
But it's negative so we go counterclockwise.
An alternative way of graphing
Quadrant 1 is 0-90°
Quadrant 2 is 90-180°
Quadrant 3 is 180-270°
Quadrant 4 is 270-360°
Subtract the given angle by 360 until no longer possible
750 - 360 = 390 390 - 360 = 30
Remember that this was originally a negative angle
Instead of going clockwise to quadrant 1, we go counterclockwise to quadrant 4, ending up at 330°
John has a $2, $1, $0.50, $0.25, $0.10, and $0.05 coin in his pocket. How many different sums of money can he make?
Answer:
64
Step-by-step explanation:
the different sum of money is 64
John can make 6 different sums of money. He can make $0.05 from $2, $0.15 from $1, $0.40 from $0.50, $0.90 from #0.25, $1.90 from $0.10, and $3.90 from $0.05 coins
How many different sums of money can he make?To discover the different sums of money John can make, we are able to utilize a strategy called "coin alter" or "category" issue.
John has a $2, $1, $0.50, $0.25, $0.10, and $0.05 coin in his pocket
Step 1: Begin with a purge entirety (0).
Step 2: Include each coin group in its entirety, one at a time.
Step 3: Rehash Step 2 for all possible combinations of coins.
Let's go through the method:
With $0.05 coin: total sum = (+ $0.05) = $0.05
With $0.10 coin: total sum = ($0.05 + $0.10) = $0.15
With $0.25 coin: total sum = ($0.15 + $0.25) = $0.40
With $0.50 coin: total sum = ($0.40 + $0.50) = $0.90
With $1 coin: total sum = ($0.90 + $1) = $1.90
With $2 coin: total sum = ($1.90 + $2) = $3.90
Presently, John can make the following different sums of money from the coins:
$0.05
$0.15
$0.40
$0.90
$1.90
$3.90.
There are 6 diverse wholes of cash John can make.
Learn more about sums here:
https://brainly.com/question/30518693
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There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm. What is the probability that the first machine produces an acceptable cork
Answer:
0.6827
Step-by-step explanation:
Given that :
Mean, μ = 3
Standard deviation, σ = 0.1
To produce an acceptable cork. :
P(2.9 < X < 3.1)
Recall :
Z = (x - μ) / σ
P(2.9 < X < 3.1) = P[((2.9 - 3) / 0.1) < Z < ((3.1 - 3) / 0.1)]
P(2.9 < X < 3.1) = P(-1 < Z < 1)
Using a normal distribution calculator, we obtain the probability to the right of the distribution :
P(2.9 < X < 3.1) = P(1 < Z < - 1) = 0.8413 - 0.1587 = 0.6827
Hence, the probability that the first machine produces an acceptable cork is 0.6827
Subtract.
7x2-5x+3
-(2x2 + 7X - 4)
Answer:
5x^2-12x+7
Step-by-step explanation:
7x^2-5x+3-(2x^2 + 7X - 4)
Distribute the minus sign
7x^2-5x+3 - 2x^2 - 7X + 4
Combine like terms
5x^2-12x+7
Answer:
-12x + 17
Step-by-step explanation:
hope this helps!
please help brainliset
Answer:
8.5
Step-by-step explanation:
Answer:
5/2
Step-by-step explanation:
Since MR=MR and XM=MY and angle XMR = angle RMY,
then triangle XMR is congruent to triangle RMY by SAS postulate
Therefore, XR has to be equal to RY.
Making 6x+2=17
subtracting both sides by 2 gives you 6x=15
then dividing both sides by 6 gives you x=15/6
simplifying this fraction gives you x=5/2
Hope this helps.
Answer please I’m stuck
Answer:
196
Step-by-step explanation:
We will use the formula:
Surface Area of A / Surface area of B = (Height of A /Height of B)^2
49/S2 = (4/8)^2
49/S2 = 1/4
S2 = 196
Answred by Gauthmath
d(v)=45, d(v)=1.1v+0.6v^2
Step-by-step explanation:
d(v)=1.1(45)+0.6(45)²
=1.1(45)+0.6(2025)
=49.5+1215
=1264.5
356 miles in 5 days
is a:
Unit Rate
Unit Price
Ratio
Rate
9514 1404 393
Answer:
Rate
Step-by-step explanation:
Since there are no currency units involved, it is not a price or unit price.
Since the denominator (days) is not 1, it is not a unit rate.
The usual wording for a ratio is "to" rather than "in", so we probably would not say this is a ratio. Though, the usual reason for expressing the numbers this way is to indicate we might be interested in their ratio.
There is time involved, so it is reasonable to call this a "rate," which is usually the ratio of some quantity to the time associated with that quantity.
translate the following into an expression: a increased by b%
Answer:
Step-by-step explanation:
a + ab/100
plzzzzzzzzzzz help i will give brainliest
Answer:
Below.
Step-by-step explanation:
IQR is the same
Number of data points is the same.
Mode - can't tell
Range - different
First quartile - same
Median - different.
find the missing angles
Answer:
all answer are in given solution
kofi earned 50 cedis mowing lawn. today, kofi earned 60% of what he earned yesterday mowing lawns. how much money did kojo earn mowing lawn today
Answer:
Kofi earned today = 30 cedis
Step-by-step explanation:
Given:
Kofi earned yesterday = 50 cedis
Kofi earned today = 60% of Kofi earned yesterday
Find:
Kofi earned today
Computation:
Kofi earned today = 60% of Kofi earned yesterday
Kofi earned today = 60% x 50
Kofi earned today = 0.60 x 50
Kofi earned today = 30
Kofi earned today = 30 cedis
help please i’ll give brainliest
Answer:
b
Step-by-step explanation:
b intercepts the y axis
Assume that the matrices below are partitioned conformably for block multiplication. Compute the product.
[I 0] [W X]
[K I] [Y Z]
Multiplying block matrices works just like multiplication between regular matrices, provided that component matrices have the right sizes.
[tex]\begin{bmatrix}\mathbf I&\mathbf 0\\\mathbf K&\mathbf I\end{bmatrix}\begin{bmatrix}\mathbf W&\mathbf X\\\mathbf Y&\mathbf Z\end{bmatrix} = \begin{bmatrix}\mathbf{IW}+\mathbf{0Y}&\mathbf{IX}+\mathbf{0Z}\\\mathbf{KW}+\mathbf{IY}&\mathbf{KX}+\mathbf{IZ}\end{bmatrix}[/tex]
[tex]\begin{bmatrix}\mathbf I&\mathbf 0\\\mathbf K&\mathbf I\end{bmatrix}\begin{bmatrix}\mathbf W&\mathbf X\\\mathbf Y&\mathbf Z\end{bmatrix} = \begin{bmatrix}\mathbf W+\mathbf 0&\mathbf X+\mathbf 0\\\mathbf{KW}+\mathbf Y&\mathbf{KX}+\mathbf Z\end{bmatrix}[/tex]
[tex]\begin{bmatrix}\mathbf I&\mathbf 0\\\mathbf K&\mathbf I\end{bmatrix}\begin{bmatrix}\mathbf W&\mathbf X\\\mathbf Y&\mathbf Z\end{bmatrix} = \begin{bmatrix}\mathbf W&\mathbf X\\\mathbf{KW}+\mathbf Y&\mathbf{KX}+\mathbf Z\end{bmatrix}[/tex]
(I assume I is the identity matrix and 0 is the zero matrix.)
I need help completing this problem ASAP
Answer:
7x sqrt(2) - 2 sqrt(2)
Step-by-step explanation:
5x sqrt(2) - 2 sqrt(2) + 2x sqrt(2)
Combine like terms
5x sqrt(2) + 2x sqrt(2) - 2 sqrt(2)
7x sqrt(2) - 2 sqrt(2)
The polynomial p(x) = x3 – 7x - 6 has a known factor of (x + 1).
Rewrite p(x) as a product of linear factors.
p(x)
Hi there!
[tex]\large\boxed{(x -3)(x + 2)(x + 1)}[/tex]
We can use long division to find the other roots of p(x).
We know that x + 1 is a factor, so:
Set up:
Find how many times that the first term in the divisor goes into the first of the dividend. Subtract from like terms.
x² - x - 6
x + 1 | x³ + 0x² - 7x - 6
x³ + x²
0 - x² - 7x
- x² - x
0 - 6x - 6
-6x - 6
0 0
Therefore, x² - x - 6 is another factor. We can factor this further:
Find two numbers that add up to -1 and multiply into -6. We get:
-3, 2
(x - 3)(x + 2)
The entire polynomial factored is:
(x -3)(x + 2)(x + 1)
-.p+p⎯.+p Simplify, please.
Answer:
34.5p-2.75
Step-by-step explanation:
First add -0.5p and 12p together which is 11.5p, then add 23p with 11.5p which is 34.5p And -2.75 remains the same
So the answer is 34.5p-2.75
Answer:
34.5p-2.75
Step-by-step explanation:
-0.5p+12p-2.75+23p=34.5p-2.75
what is the answer for this question?
1. Dayne has three investment portfolios: A, B and C. Portfolios A, B and C together are worth a total of $175000, portfolios A and B together are worth a total of $143000, while portfolios A and C together are worth a total of $139000.
Use Cramer’s Rule to find the value of each portfolio.
Answer:
The correct answer is:
Portfolio A = $107,000
Portfolio B = $36,000
Portfolio C = $32,000
Step-by-step explanation:
According to the question,
[tex]A+B+C=175000[/tex]...(1)
[tex]A+B = 143000[/tex]...(2)
[tex]A+C=139000[/tex]...(3)
Now,
From (1) and (2), we get
⇒ [tex]Portfolio \ C = (1)-(2)[/tex]
[tex]=175000-143000[/tex]
[tex]=32000[/tex]...(4)
From (1) and (3), we get
⇒ [tex]Portfolio \ B =(1)-(3)[/tex]
[tex]=175000-139000[/tex]
[tex]=36000[/tex]...(5)
From (1), (4) and (5), we get
⇒ [tex]Portfolio \ A = (1)-(4+5)[/tex]
[tex]=175000-(36000+32000)[/tex]
[tex]=175000-68000[/tex]
[tex]=107000[/tex]
Thus the above is the correct answer.
Trong hệ Oxy cho L là đoạn thẳng từ A(1;−1) đến B(0;2). tìm phương trình L và tính tích phân
Answer:
cannot understand the language man
but please follow
What is the equation of exponential regression equation? Round all numbers you your answer to three decimal places
Given:
Consider the below figure attached with this question.
The value in the given figure are:
[tex]a=0.2094539899[/tex]
[tex]b=2.507467975[/tex]
[tex]r^2=0.9435996398[/tex]
[tex]r=0.9713905701[/tex]
To find:
The exponential regression equation for the given values (Rounded to three decimal places).
Solution:
The general form of exponential regression equation is:
[tex]y=a\cdot b^x[/tex] ...(i)
Where, a is the initial value and b is the growth/decay factor.
The given values are:
[tex]a=0.2094539899[/tex]
[tex]b=2.507467975[/tex]
Round these numbers to three decimal places.
[tex]a\approx 0.209[/tex]
[tex]b\approx 2.507[/tex]
Putting [tex]a=0.209, b=2.507[/tex] in (i) to find the exponential regression equation.
[tex]\hat{y}=0.209\cdot 2.507^x[/tex]
Hence, the correct option is C.
a film lasts 45 minutes what fraction of the film is left after 15 minutes and 25 minutes ?
Answer: i) [tex]\frac{1}{3}[/tex]
ii) [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Total length of film = 45 mins
Fraction of time left after 15 mins = [tex]\frac{15}{45}[/tex]
= [tex]\frac{1}{3}[/tex]
Fraction of time left after 25 mins = [tex]\frac{25}{45}[/tex]
= [tex]\frac{5}{9}[/tex]
Find the area of the circle. Use 3.14 for tt. d = 6 ft A = [?] ft2 A=Tr2
d=6ft
According to formula A=πr²
first we need 'r'
Hence,
as, r=d/2
r=6ft/2
r=3ft
A=πr²
A=3.14(3ft)²
A=3.14×9ft²
A=28.26ft²
There is 3m wide path around a circular cricket ground having the diameter of 137 m. Find the area of the path.
Answer:
1320 m^2
Step-by-step explanation:
area of ground = π r ^2
= (22/7) × (137/2)^2
= 14,747.0714286 m^2
area of ground and path
=( 22/7)(143/2)^2
= 16,067.0714286 m^2
area of path
=16,067.0714286 -14,747.0714286
= 1320 m^2
note :
r = radius = diameter /2
area of a circle = π r^2
diameter of circle created with path and ground = 137 + 2 × width of path
= 137 + 2× 3 = 143 m
Jorge plans to paint a bedroom wall that is shaped like a trapezoid. The bottom edge of the wall is 22.5 feet long, and the top edge of the wall is 9.5 feet long. If the wall is 8 feet tall, what is the area of the wall? Round your answer to the nearest hundredth if necessary.
Heather, a sociology major is interested in studying mass media topics. She is particularly interested in the percentage of mass media topics that relate to entertainment. Based on previous research, 72% of mass media topics relate to entertainment. She suspects this percent is different. During the process of hypothesis testing, she calculates a probability using the test statistic. What is the probability associated with the test statistic called
Answer:
Pvalue
Step-by-step explanation:
The Pvalue measure which takes up a value in the range 0 - 1 is a statistical measure used on hypothesis testing to measure the likelihood of obtaining result atleast as extreme as the outcome of the statistical hypothesis test, The Pvalue is used in hypothesis testing to make a case for the alternative hypothesis, which involves being compared with the α - value.
Lower p values favors the adoption of alternative depending on how extreme th α-value is. The Pvalue is dependent on the value if the test statistic.
