What is DA equal to? Brainiest if correct and please show your answer.

The sigma notation for the sequence 22, 28, 34, 40, 46 is as follows:

[tex]\sum_{n = 0}^{n = 4} 22 + 6n[/tex]

A sequence is represented in sigma notation according to the following rule:

[tex]\sum_{n = 0}^{n = N-1} a + bn[/tex]

In which the parameters are described as follows:

In the context of this problem, the sequence is:

22, 28, 34, 40, 46.

Hence the values of these parameters are given as follows:

Hence the sigma notation of the sequence is given by:

[tex]\sum_{n = 0}^{n = 4} 22 + 6n[/tex]

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The person that has the higher average speed is Teresa.

Average speed is calculated by dividing the total distance that something has travelled by the total amount of time it took it to travel that distance.

Therefore, Karl drove 40 miles in 50 minutes and Teresa drove 35 miles in 42 minutes.

The person that has the higher average speed can be calculated as follows;

average speed of Karl = distance / time

average speed of Karl = 40 / 50

average speed of Karl = 4 / 5 miles per minutes

average speed of Teresa = distance / time

average speed of Teresa = 35 / 42

average speed of Teresa = 5 / 6 miles per minutes

Therefore, Teresa had the higher average speed.

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for the square root you must look for a number that multiplied with itself gives you the indicated value

for this case a number that multiplied by itself gives you 100

sothe square root of 100 is:

The slope-intercept form of the linear equation is

y = m x + b, where

m is the slope

b is the y-intercept

If the x-coordinates of the two points are equal, that means the line is vertical

A vertical line has no slope

Its equation is x = a, where a is the x-coordinate of any point on the line

13) The two points are (5, 3) and (5, 4)

They have the same x-coordinates, then its equation is

x = 5

The rule of the slope is

(x1, y1) and (x2, y2) are two points on the line

The line passes through points (0, 4) and (2, 3)

x1 = 0 and y1 = 4

x2 = 2 and y2 = 3

Substitute them in the rule above to find m

The equation is

b is the value of y at x = 0

at x = 0 y = 4

b = 4

The equation of the line is

In plan B the price rises by 10%.

Thus the price rise is per week is $0.8

In plan A the price rise per week is $0.1

In plan C the price rise per week is

In plan D the price rise per week is $0.25

Considering all the plan the maximum price rise for each week is 0.8.

So the plan that would lead to $12 fastest is plan B.

The answer is plan B.

The value of x in the triangle is 17 degrees.

A triangle is a polygon with three sides and angles.

The sum of angles in a triangle is 180 degrees.

Therefore, ABC is a triangle and CDE is a also a triangle.

Let's find the angle x in the triangle CDE.

Hence,

∠ACB = 180 - 4x - 49 (sum of angles in a triangle is 180 degrees)

∠ACB =  180 - 49 - 4x

∠ACB = 131 - 4x

Therefore,

180 = ∠DCE  + ∠DEC  + ∠CDE  

∠CDE   = 100°

∠DEC = x

∠DCE = ∠ACB = 131 - 4x

Hence,

180 = 131 - 4x + x + 100

180 = 231 - 4x + x

180 - 231 = -3x

-51 = -3x

divide both sides by -3

x = -51 / -3

x = 17

Therefore,

x = 17

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Answer:

f(x)=x+2 Passes through

x-y=2 DOES NOT pass through

Step-by-step explanation:

Method- plug in x and see if the y matches the points. (1,3) (7,9)

f(x)=x+2

f(1)=1+2=3

f(7)=7+2=9

Matches!

x-y=2

1-y=2 --> y=-1

Does not match

The slope of the line that is parallel to 8x + 9x = 3 is: -8/9.

If two lines are parallel to each other, their slope values is equal to each other. This means the value of "m" in their equation expressed in slope-intercept form as y = mx + b, is the same.

Given the equation of a line in standard form as, 8x + 9y = 3, rewrite this in slope-intercept form:

8x + 9y = 3

8x + 9y - 8x = -8x + 3 [subtraction property of equality]

9y = -8x + 3

9y/9 = -8x/9 + 3/9 [division property of equality]

y = -8/9x + 1/3

The slope of the equation is -8/9. Therefore, the slope of the line that is parallel to the equation 8x + 9y = 3 will also be: -8/9.

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The largest prime factor that always divides the sum of the terms in the sequence is 37.

The sequence is finite and consists of three-digit integers.

The tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term.

From the above property of the sequence, we can see that each digit at the units, tens as well as hundreds place will appear the same number of times in the sequence.

Let "x" be the sum of the digits at unit place in all the terms.

The sum of all the terms is "S".

S = 111*x

S = 3*37*x

We can clearly see that the sum "S" is divisible by 37.

Hence, the largest prime factor that always divides the sum of the terms in the sequence is 37.

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Answer:

w = 35

Step-by-step explanation:

To solve this problem, you will need to undo it in reverse order. The first thing done to w is to multiply it by 17 and then add 29 to it. You need to undo the addition of 29 with subtraction first.

624-28=595

Next, you need to undo the multiplication by 17 with division.

[tex]\frac{595}{17} =35[/tex]

Therefore, your answer is 35

Answer: m = 24

Step-by-step explanation:

The right side of the table is the x value, and the left side is the y value.

Pick two points, I will pick (1,35) and (3,83).

Once you pick the points, input them in the rise over run formula:

y2-y1/x2-x1

83-35/3-1 = 48/2 = 24

Given data

Ammy has a piece of wood that measures 42 inches

Ammy cut from the 42-inch piece of wood is calculated as

Thus, Amy cut from the 42-inch piece of wood is 33 inches

Using the mathematical operation of division, Mrs. Doctor can fill 15 mugs using 10 cups.

The division operation is one of the basic mathematical operations.

The division operation involves using the divisor to divide the dividend, which results in a quotient.

For instance, since the pot holds 10 cups and the distribution is 2/3 cups for each mug, we can divide 10 cups by 2/3 cups to get 15 mugs.

The quantity of hot chocolate for each mug = 2/3 cups

The total number of cups that the pot holds = 10 cups

The number of mugs that can be filled from 10 cups = 15 (10 ÷ 2/3)

Thus, we can divide 10 cups by 2/3 cups to get the number of mugs Mrs. Doctor can fill.

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The probability that one or more of them tests negative is 0.85.

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

If Marv and Patricia will each take a Covid test, then the events that will occur are : both will test positive, both will test negative, or one of them will test negative.

Based on the given information, the probability that both will test positive is 0.15. Subtract it from 1 to and get the probability that one or more of them tests negative.

probability = 1 - 0.15

probability = 0.85

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After simplification, 7h+(-9.1d)-13+6d-3.5h is 3.5h-3.1d-13.

According to the question,

We have the following expression:

7h+(-9.1d)-13+6d-3.5h

Now, we will simplify it by adding or subtracting the numbers or the numbers with the same variable together. For example, 3.5h can only be subtracted from 7h because both of them h as a variable. And 6d can be subtracted from 9.1d.

(More to know: when a positive and a negative number is multiplied then the result is always negative. In this case, we will multiply +1 into -9.1d.)

Now, let's simplify the given expression:

7h-3.5h-9.1d+6d-13

3.5h-3.1d-13

Hence, the expression obtained after solving the given expression is 3.5h-3.1d-13.

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Answer: C. Four loaves, with flour left over.

Step-by-step explanation:

7/2 simplifies to 3 1/2

Do the math,

3/4 + 3/4 = 1 1/2        2 loaves

1 1/2 + 3/4 = 2 1/4      3 loaves

2 1/4 + 3/4 = 3           4 loaves

Now when we add 3/4 to 3, we get more than 3 1/2. Which means we do not have enough flour for another loaf of bread. So, we can make four loaves and still have some four left over. The answer is C.

The improper fraction equivalent of the fraction 2 1/4 is 9/4.

Improper fraction:

Basically, the improper fraction is also the fraction where the numerator is greater than or equal to the denominator.

Given,

Here we have the mixed fraction 2 1/4.

And we have to convert this mixed fraction into improper fraction.

The conversion from mixed fraction to an improper fraction will follow the following formula,

numerator = (denominator × whole number) +  numerator of mixed fraction

Based on the this rule, the numerator of the improper fraction is,

=> numerator = (4 x 2) + 1

=> numerator = 8 + 1

=> numerator = 9

The denominator will remain same.

Therefore, the resulting improper fraction is 9/4.

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88cm² is the area of the trapezoid in the diagram.

This question is incomplete, the missing diagram is uploaded along the answer below below.

A trapezoid is simply a quadrilateral with at least one pair of parallel sides.

The area of a trapezoid is expressed as;

A = 1/2 × ( a + b ) × h

Where a is length of base a, b is length of base b and h is the height.

Given the data in the diagram;

To determine the area of the trapezoid, plug the given lengths into the above formula and solve for A.

A = 1/2 × ( a + b ) × h

A = 1/2 × ( 8cm + 14cm ) × 8cm

A = ( 8cm + 14cm ) × 1/2 × 8cm

A = ( 22cm ) × 4cm

A = 88cm²

Therefore, the area is 88 square centimeters.

Option C is the correct answer.

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In this kind of problem is better to work backwards. We have the number nine hundred twenty-eigh.

This means that the two last digits are a 2 and a 8, becasue we have a "twenty-eight" = 28

And then, we have "nine hundred" = 900

The number whole, then, is:

Given data:

The number of red drops for first batch are r=100.

The number of blue drops for first batch are b=20.

The number of red drops for second batch are r'=75.

The number of blue drops for second batch are b'=15.

The expression for the red per blue drop for first batch is,

n=r/b

Substitute the given values in the above expression.

n=100/20

=5

The expression for the red drop per blue drop of the second batch is,

n'=r'/b'

Substitute the given values in the above expression.

n'=75/15

=5

Thus, yes the ratio of red to the blue drop is same for both batches.

( x - 2) ( x - 4 ) is function which is equal to g(x) .

In the simplest terms, what is a function?

f(x) = x² - 1

f( x - 3 ) = ( x - 3 )² - 1

             = x² + 9 - 6x -1

             = x² -6x + 8

             = x² -4x -2x + 8

             = x( x - 4 ) -2( x - 4)

             = ( x - 2) ( x - 4 )

g(x) = f(x - 3)

       = ( x - 2) ( x - 4 )

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Answer:

y=9

Step-by-step explanation:

16y and 18y-18 are vertical angles. The definition of Vertical Angles states that both of the measures of the angles are equal to each other. Therefore,

18y-18=16y

2y-18=0

2y=18

y=9

A. 7658.8 hr/year

B. 4.082 hr/year

C. 99206 kwh

Moreover, The annual average wind speed was calculated directly at 4.56 m/s. Using the Weibull distribution, the annual wind speed is 4.55 m/s, while using the Rayleigh distribution it is 4.523 m/s. The annual wind power density was directly calculated to be 114.54 W/m2.

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Answer:

-11

Step by step explanation:

-11+23=12

We will have the following:

Inferring from the information presented in the diagram we can conclude that the measurements will be:

Base: 3ft * 12ft = 36f t^2

Side1: 3ft * 2ft = 6 ft^2

Side 2: 12ft * 2ft = 24 ft^2

So, the values that would represent the dimension will be:

Length: 12 ft.

Width: 3 ft.

Height: 2 ft.

Answer:

c = 3t + 11  

t = time in the lot

c = total cost

4 hours the cost will be $23

Step-by-step explanation:

Cost for 4 hours.

c = 3t + 11

c = 3(4) + 11

c = 12 + 11

c= $23