Sigma notation of 8+4+2+1+1/2+…

Answer:

\(\frac{11}{12}\)

Step-by-step explanation:

\(Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\\)

Answer:

60

Step-by-step explanation:

Answer:

x = 55, upper left angle is 135, down left angle is 55

Step-by-step explanation:

The shape is a quadrilateral and all of the quadrilaterals angles added together is 360 degrees and that little square at the bottom right of the shape means it's a right angle and a right angle is 90 degrees so:

4x - 85 + 80 + x + 90 = 360

rearrange to make it easier to add like terms

4x + x - 85 + 80 - 90 = 360

add like terms

5x + 85 = 360

subtract 85 from both sides

5x = 275

divide both sides by 5

x = 55

Plug 55 into 4x - 85 to find the angles

4(55) - 85 = 135

The slope of the line having the equation 4x - 3y = -3 is calculated to be

4/3

The slope of the line is gotten by rewriting the equation of the line in the standard form Ax + By = C. to equation of a line in slope intercept form which is y = mx + c

The equation of line in the problem is 4x - 3y = -3

The equation is rewritten as follows

4x - 3y = -3

-3y = -3 - 4x

Isolating y by dividing trough by -3

y = 1 + 4/3 x

y = 1.33x + 1

comparing with y = mx + c where m is the slope we can see that m = 4/3

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Answer:

-25

Step-by-step explanation:

the answer is -25 it negative because one negative

Answer: 6

Step-by-step explanation:

For the math problem, "45 minus what equals 39?", we can make it into an algebra equation as follows:

45 - X = 39

Then, we solve for X. To solve for X, we first subtract 45 from both sides:

45 - 45 - X = 39 - 45

-X = -6

Next, you multiply each side by -1 to remove the minus from the X:

-X(-1) = -6(-1)

X = 6

Therefore, the answer to "45 minus what equals 39?" is 6 as illustrated below:

45 - 6 = 39

Answer:

Hello. The answer is 6.

Step-by-step explanation:

You basically have to subtract. 45 - (?) = 39.

45 - 6 will give you = 39.

I'm surprised even an adult doesn't know that?

Answer:

the answer is 6 trust. poopoo

Answer: -102

Step-by-step explanation: First we do 9-3 = 6, then add -6 which cancels each other out, so all we have left is -102.

Hope this helps! :)

Answer:

-102

Step-by-step explanation:

(+9) - (+3) = +6

(-6) = -6

+ (-102) = -102

so, +6 -6 -102 = -102

Answer: 30

Step-by-step explanation:

Slope: y/x

y/x =

+60/+2=

60/2=30

Answer:

Domain: \((-\infty, \infty)\), Range: \((-\infty, \infty)\)

Step-by-step explanation:

The domain and range for all non-constant linear functions with unrestricted domains is the set of real numbers.

The domain and range of the function f(x)=2x+1 is (-∞, ∞) and (-∞, ∞)

A function is an equation for which any x that can be put into the equation will produce exactly one output such as y out of the equation.

Given is a function f(x) = 2x+1, we need to find the domain and the range of the function,

Since,

The function has no restrictions for its domain, therefore, it's defined for all x ∈ R.

Its domain will thus be (-∞, ∞)

Also,

The function can take any a value of x and produce any value of y ∈ R, so its range will be (−∞, +∞)

Hence, the domain and range of the function f(x)=2x+1 is (-∞, ∞) and (-∞, ∞)

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Answer:

42 units

Step-by-step explanation:

Area of a trapezoid is always 1/2(b1+b2)*h

so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42

Answer:

$304

Step-by-step explanation:

4 Windows (each window has 1 blind and 2 panels of curtains)

1 blind = $20 * 4 = $80

1  panels curtains = $28 * 2 = $56 * 4 = $224

$80 + $224 = $304

Answer:

Closed and Bounded.

Step-by-step explanation:

Hi there!

1) Let's start by finding the values in which the function is defined. Remember that this can be rewritten:

\(f(x,y) = 1 + (4 -y^2)^{\frac{1}{2}} \:id\:est\:f(x,y)=1+\sqrt{(4 -y^2)}\)

Since every quadratic root are defined for values \(\geq\) 0  then, this help us to understand that we need calculate what interval this Domain is:

\(4-y^{2} \geq 0\\4-y^{2}-4\geq -4\\-y^{2}\geq-4 \\y^{2}\leq4\\-2\leq y\leq 2\)

\(D=[-2,2]\)

2) Graphically speaking, the domain is closed. For the values -2 and 2 are included, and bounded.

Bounded functions have all of their points contained by some circle origin centered. Check it out below.

Given that we have 47 kids and each kid needs 10 marbles, find out how many bags of 24 marbles will we need.

First, we will multiply 47 by 10 to get the amount of marbles needed.

47 x 10 = 470

So, that means we need 470 marbles in total.

Then, we divide 470 by 24 to see how many bags of 24 marbles 470 marbles is.

470 / 24 = 19.5833

Since, we can't have 19.5833 bags, we have to check what it would be if we only used 19.

19 x 24 = 456

470 - 456 = 14

Since, 18 is the closest number of bags but it has less than 470 it would not be correct.

Therefore, the best answer would be B. 25 since it is better to have extra marbles but not a very wide margin.

Answer:  Therefore, at the start of the game, Peter had 80 marbles and Jack had 80 marbles.

Step-by-step explanation:

Answer:

\(38.4895 cm^{2}\)

Step-by-step explanation:

πr^2

is the formula for area of circle and since quarter means 1/4, multiply the formula by 1/4 and you get \(\frac{pi*r^{2} }{4}\) where pi is π and * is multiply so we get

(3.142 x 7^2)/4

3.142 x 49/4

3.142 x 12.25

=38.4895 cm^2

1.) We cannot construct a triangle if two of its angles are of measures

We cannot construct such angle because when one angle is 90°, others cannot be close to it because it will form a right angle triangle and we know that it has 3 angles. Also if the angle will 95°, it will be wrong since the sum of all angles must be 180°...

Answer:

95,90

Step-by-step explanation:

According to angle sum property the sum of angles of a triangle is 180°

So here that be x

Angle can't be negative

Answer: 10

Step-by-step explanation:

using ratio;

\(\frac{4}{x} =\frac{2}{5}\)

\(\frac{4}{2} = \frac{x}{5}\)

2 × 5 = x

x = 10

please give me a brainliest answer

The standard deviation for this set of data is approximately 2.85.

To find the standard deviation, we first need to take the square root of the variance. Therefore, the standard deviation for the given data set is the square root of 8.1, which is approximately 2.846.
To find the standard deviation of a set of data when the variance is given, you simply need to take the square root of the variance. In this case, the variance equals 8.1.
Step 1: Identify the variance, which is 8.1.
Step 2: Take the square root of the variance.
Standard Deviation = √(Variance) = √(8.1)
Step 3: Calculate the square root of 8.1.
Standard Deviation ≈ 2.85
So, the standard deviation for this set of data is approximately 2.85.

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The formula that can be used to determine the amount Scrooge would have in 4 years is: A(1 +r)^nm

A = Amount invested = $400

r = interest rate = 4/12 = 0,0333

n = number of years

m = number of compounding

$500(1.0333)^(12 x 4) = $586.60.

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Remember that

35=(5)(7)

70=(2)(5)(7)

so

the least common multiply (lcm) is equal to

lcm=(2)(5)(7)

lcm=70

Answer:

i) pi×4500 cm³

ii) pi×600 cm²

iii) 14 liters

Step-by-step explanation:

in general : the diameter is 30 cm, the radius is half of that (15 cm)

i)

the volume of a cylinder is base area times height.

Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³

ii)

similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.

surface area of the cylinder mantle is

Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²

iii)

for this we need now to do the multiplication with pi and then convert the cm³ to liters.

1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³

pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters

Step-by-step explanation:

\(6(17x) = 102\)

Answer:

3x + 2x - 10 = 25

5x = 35

x = 7 is your answer

Step-by-step explanation:

brainliSt plz

Answer: 2x^3y^4 sqrt 2x or C on edge

Step-by-step explanation:

The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively

Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class

The given parameters that will help us to get the percentage are

Mean height of the class = 152 cm

Mean height of the boys = 158 cm

The standard deviation of the boys = 5 cm

Mean height of the girls = 148 cm

Standard deviation of the girls = 4 cm

(1) The percentage of boys in the class is

Total mean height = 158 +148 = 306

Percentage = 158/306 * 100 = 51.6%

Then the  percentages 51.6/100 * 152 = 78%

(2) The total standard deviation of all the students

Boys + girls = 5+4 = 9 cm

Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively

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Answer:

Step-by-step explanation:

\(5^5 - 2^3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:5^5\::\quad 3125\\\\=3125-2^3\\\\\mathrm{Calculate\:exponents}\:2^3\::\quad 8\\\\=3125-8\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3125-8\:\\\\:\quad 3117\)

Answer:

B

because look at y intercept

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.