What's 1/8+1/4.Make sure your answer fully reduced​

The sum of the expression 28 ∑_{i=1} (8i - 13) is 11171.

To find the sum of the expression 28 ∑_{i=1} (8i - 13), we need to evaluate the expression for each value of i from 1 to 28 and then add up the results.

Let's break down the expression 8i - 13 for i = 1 to 28:

For i = 1: 8(1) - 13 = 8 - 13 = -5

For i = 2: 8(2) - 13 = 16 - 13 = 3

For i = 3: 8(3) - 13 = 24 - 13 = 11

...

For i = 28: 8(28) - 13 = 224 - 13 = 211

Now, we can add up all these individual values:

(-5) + 3 + 11 + ... + 211

To simplify the calculation, we can use the formula for the sum of an arithmetic series:

Sum = (n/2)(first term + last term)

In this case, the first term is -5 and the last term is 211. The number of terms, n, can be determined by subtracting the first term from the last term and then adding 1:

n = last term - first term + 1

n = 211 - (-5) + 1

n = 211 + 5 + 1

n = 217

Substituting these values into the sum formula, we get:

Sum = (217/2)(-5 + 211)

Sum = (217/2)(206)

Sum = 11171

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ok

1.- Convert 1 m to mm

1 m ------------------ 100 cm 10 mm ------ 1 cm

there are 10 x 100 = 1000 mm in a meter

2.- Convert 35 cm into mm

10 mm -------------- 1 cm

x -------------- 35 cm

x = (35 x 10) / 1

x = 350 mm

3.- Total = 1000 + 350 = 1350 mm

The answer is H. 1350 mm

Answer:

the domain is -2 and the range is 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

The domain of the graphed function is any value and the range is all positive numbers:

The value of x is 7/3, which can be rounded to two decimal places as approximately 2.33.

To solve the equation 2x + 8 + 4x = 22, we need to combine like terms and isolate the variable x.

Combining like terms, we have:

6x + 8 = 22

Next, we want to isolate the term with x by subtracting 8 from both sides of the equation:

6x + 8 - 8 = 22 - 8

6x = 14

To solve for x, we divide both sides of the equation by 6:

(6x) / 6 = 14 / 6

x = 14/6

Simplifying the fraction 14/6, we get:

x = 7/3

Therefore, the value of x is 7/3, which can be rounded to two decimal places as approximately 2.33.

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To find all values of x that are not in the domain of g, we need to analyze the definition of the function g and identify any restrictions or limitations on the input values.

The domain of a function is the set of all input values for which the function produces a valid output. In other words, the domain is the set of all possible values that we can plug into the function and get a meaningful result. However, not all values are valid inputs for every function. Some functions have restrictions or limitations on the input values that they can handle. These limitations might arise from the nature of the mathematical operation being performed, or they might be explicitly defined by the function itself.

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.

A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.

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Answer:

1

Step-by-step explanation:

Comparing (A vs B) at the study level—using participants from one study for A and participants from another study for B—is invalid because it introduces potential confounding variables relating to differences between the studies, such as variations in research design, demographic, or environment.

When contrasting two distinct types or conditions (A and B) using independent random samples, the comparison between A and B is conducted at the group level, employing people from the two groups who are completely unrelated and different from one another.

In this scenario, the comparison is made by randomly assigning individuals to one of the two groups (A or B), such that the individuals in each group are unrelated to those in the other group. This is typically done to compare the effects of different treatments, interventions, or conditions on a particular outcome of interest.

For example, in a clinical trial testing the efficacy of a new drug, participants may be randomly assigned to either the treatment group (A) or the control group (B), such that each participant is only exposed to one of the two conditions.

Comparing (A versus B) at the individual or pair level, using every individual or every pair for both A and B, would typically involve a within-subjects design, where each participant is exposed to both conditions (A and B) in a random order.

Comparing (A versus B) at the study level, using the individuals in one study for A and the individuals in another study for B, is not a valid comparison as it introduces potential confounding factors related to differences between the studies, such as differences in study design, population, or setting.

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Answer:

Q is not a function

Step-by-step explanation:

The linear equation in the given expression is "dy/dx = 4 + 8y". This equation is linear because it is a first-order ordinary differential equation where the highest power of y is 1.

The presence of x^2 and (yx)^2 does not affect the linearity of the equation because they are not directly multiplied by y.

In the given expression, we can see that the terms involving x^2 and (yx)^2 are quadratic in nature, as they involve powers of x and y. However, when we consider the overall equation in terms of its linearity, we focus on the highest power of y, which is 1. The term "4" and "8y" form a linear function of y, as they have a power of 1. Hence, the equation can be classified as a linear equation.

It is worth noting that although the equation is linear, it may still be non-homogeneous due to the presence of the term "4" on the right-hand side. If the right-hand side were zero, the equation would be homogeneous. However, in this case, the presence of a constant term makes it non-homogeneous.

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The correct option is 20.

The score found for the sample is 20.

A standard error is a statistic that is applied to test the distribution of data. This metric is comparable to standard deviation. We can calculate the standard error if we know the sample size & standard deviation. It assesses the mean's precision.

Now, according to the question;

Sample mean; \(\bar{x}=40\)

Sample variance; \(s^{2}=20\)

Thus, \(s=\sqrt{20}=4.47\)

Standard error SE = 1

The amount of scores with in sample must be determined here.

The standard error formula is as follows:

\(S E=\frac{s}{\sqrt{n}}\)

We might rearrange the formula as follows:

\(\begin{aligned}\sqrt{n} &=\frac{s}{S E} \\n &=\left(\frac{s}{S E}\right)^{2}\end{aligned}\)

Substituting the values;

\(\begin{aligned}&n=\left(\frac{4.47}{1}\right)^{2} \\&n=19.98\end{aligned}\)

The sample's number of scores n = 19.98 = 20 (round up)

Therefore, the scores are in the sample is 20.

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Answer:

163/250

Step-by-step explanation:

First, turn the decimal into a fraction by putting the number over 1000 since the number goes to the thousandths:

652/1000

Then find the greatest common factor of the two numbers, which is 4, and divide both numbers by 4:

652/4=163

1000/4=250

The new simplified fraction is 163/250 and this is the simplest form because 163 is a prime number.

The value of the expression when x = 4 is 13.

4++() is the given expression.

In order to evaluate the equation for x = 4, we must insert x = 4 into the expression and carry out the arithmetic operations using the PEMDAS method.

We must first simplify the expression included in brackets:

() = 3(4) - 7 = 5

By replacing this value in the original formula, we get the following result: 4 + 5 + 4 = 13.

In order to obtain the value of an expression given a certain value for the variable, we can substitute that value into the expression and then use the order of operations to simplify the equation. In this instance, we replaced the supplied equation with x = 4, simplified the expression inside the parentheses, then added all the terms to find the value, which was 13.

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Answer:

x=21

Step-by-step explanation

To determine the number of $5 raffle tickets and $1.50 raffle tickets sold, we can solve the system of equations: 1.5x + 5y = 1152 and x = 4y - 2. The equation x = 4y - 2 can be used to determine the number of $1.50 raffle tickets sold, and the equation 1.5x + 5y = 1152 can be used to determine the number of $5 raffle tickets sold. Therefore, 416 $1.50 raffle tickets were sold.

We have a system of equations:

1.5x + 5y = 1152 ---(1)

x = 4y - 2 ---(2)

To find the number of $5 raffle tickets sold, we can use equation (2) and substitute it into equation (1):

1.5(4y - 2) + 5y = 1152

6y - 3 + 5y = 1152

11y = 1155

y = 105

So, 105 $5 raffle tickets were sold.

To find the number of $1.50 raffle tickets sold, we can substitute the value of y into equation (2):

x = 4(105) - 2

x = 418 - 2

x = 416

Therefore, 416 $1.50 raffle tickets were sold.

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Using Standard deviation, approximately, 95% of the area under the normal curve falls between 2 standard deviations.

The area under a normal curve represents the total probability of an event occurring for a normally distributed random variable.

A normal distribution is a bell-shaped curve that describes a continuous probability distribution of a variable, where most values cluster around the mean, and the curve tapers off symmetrically on both sides.

The total area under the normal curve is equal to 1 or 100%, which means that the probability of all possible outcomes adds up to 1 or 100%.

The Empirical Rule states that:

Hence,

Approximately, 95% of the area under the normal curve falls between 2 standard deviations.

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Answer:

8²+4

16+4

if not 16 do 64

answer would eithaa be 68 or 20

Answer:

62.5

Step-by-step explanation:

l*w = a

12.5*5 = 62.5

the area of a rectangle is its width times its height

Answer:

-5/6

Step-by-step explanation:

y=mx+6

so,

6y=-5x+48

y=-5/6x+48

m=-5/6

Answer:

Yes! it is there are straight across from each other and will never touch Hope I helped!

The values of x are given as follows:

3) x = 6.

4) x = 9.

Similar polygons are polygons that share these two features presented as follows:

For item 3, we have that the relationship is given as follows:

x/1.5 = 8/2

x/1.5 = 4.

x = 4(1.5)

x = 6.

For item 4, we have that the relationship is given as follows:

6/10 = x/15

0.6 = x/15

x = 15 x 0.6

x = 9.

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Answer:   (x - 2)² + (y - 3)² = 4

Step-by-step explanation:

The equation of a circle is: (x - h)² + (y - k)² = r²    where

Given:  (h, k) = (2, 3)  and   (x, y) = (2, 1)

Input those values to find r²:

(x - h)² + (y - k)² = r²

(2 - 2)² + (1 - 3)² = r²

  0       +     4     = r²

                   4    = r²

Now input (h, k) = (2, 3) and r² = 4 into the equation of a circle:

(x - h)² + (y - k)² = r²

(x - 2)² + (y - 3)² = 4

The slope of the horizontal line, y = 3, is: 0.

The equation of horizontal line is expressed as y = b, where the value of b represents the point on the y-axis where the line crosses or cuts across.

A horizontal line has no change in y (no rise) but have a change in x (run). Therefore, since the rise or change in y is zero, the horizontal line will therefore have the slope value that is equal to zero.

Given the equation of a line as y = 3, the line is therefore horizontal.

Thus, the slope of y = 3 is: 0.

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Step-by-step explanation:

an arithmetic series is a series of terms, where every term is built by using the previous term and adding or subtracting something specific.

this one is really simple :

the odd integers greater than 5 means we start with 7.

and we get the next odd integer by simply adding 2.

a1 = 7

a2 = a1 + 2 = 9

=>

an = an-1 + 2 = a1 + (n-1)×2

so, how many terms ?

99 is the last one.

an = 99 = a1 + (n-1)×2 = 7 + (n-1)×2

we need to solve for n

99 = 7 + (n-1)×2

92 = (n-1)×2

46 = n-1

n = 47

therefore, the series has 47 terms or elements.

the sum of all of them ?

the old trick :

99 + 7 = 106

97 + 9 = 106

95 + 11 = 106

...

so, we have 46/2 = 23 such pairs.

so, we get 23×106.

but is this enough ?

since we have 47 elements, there is one element left to be added.

which one ?

when we build these pairs we reduce the left side by 2 22 times (as we have 23 pairs, and the first one is the starting point). and we add to the right side 2 22 times. so + and - 44 on either side.

that gives us

99-44 = 55

7+44 = 51

therefore, the one missing element is the one in the middle : 53.

so, the whole sum is

23×106 + 53 = 2438 + 53 = 2491

Answer:

77°

Step-by-step explanation:

60°+128°+95°=283°

The sum of all angles = 360°

360°-286°=77°

Edit : Typo

Answer:

x = 77 degrees

Step-by-step explanation:

All angles of a trapezoid will add up to equal 360 degrees.

In other words: 60 + 128 + 95 + x = trapezoid

60 + 128 + 95 = 283 degrees.

360 - 283 = 77

x = 77 degrees

Check your work:

60 + 128 + 95 + 77 = 360

188 + 95 + 77 = 360

283 + 77 = 360

360 = 360

Correct

Option D has a non-zero component function in the y-direction and a zero component function in the x-direction.

The vector field →F is normal to the line x=2, so it must be tangent to the line y-axis at every point. This means that the component function of →F in the x-direction should be 0 and the component function of →F in the y-direction should be non-zero.

Option D has a non-zero component function in the y-direction and a zero component function in the x-direction, so it satisfies the given property. Therefore, the answer is: D. →F=(0,y)

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The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.

We know that the phone numbers of a small town either begin with 373 or 377. We are required to find out the number of phone numbers that are available. To solve this question, we need to count the number of phone numbers that are available for each prefix.

The prefix 373 can have numbers ranging from 3730000 to 3739999. Similarly, the prefix 377 can have numbers ranging from 3770000 to 3779999.

Therefore, the total number of phone numbers that are available is the sum of the phone numbers available for each prefix.

Total number of phone numbers = Number of phone numbers available for prefix 373 + Number of phone numbers available for prefix 377

Total number of phone numbers = 10000 + 10000

Total number of phone numbers = 20000

Therefore, The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.

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Answer:

8 units²

Step-by-step explanation:

The area (A) of the shaded part (right triangle ) is calculated as

A = \(\frac{1}{2}\) × area of rectangle

   = 0,5 × 4 × 4 = 0.5 × 16 = 8 units²

Answer:

8 units ^2 are shaded

Step-by-step explanation:

The total area of the square is 4 * 4 = 16

1/2 of the square is shaded so

1/2 * 16 = 8

8 units ^2 are shaded