Compute the value of 1-2+3-4+5…+2019-2020+2021. Thanks

As the spacing between joists increases, the maximum span for any board size will B. decrease only. This is because the wider the spacing between joists, the more weight and pressure will be placed on the boards that are spanning the gap between them.

This means that the boards will need to be stronger in order to support the weight without bending or breaking.
If the boards are not strong enough, they may sag or bow under the weight, which can create safety hazards or damage to the structure. Therefore, it is important to use the appropriate board size and spacing between joists for any given application in order to ensure structural integrity and safety.
In summary, increasing the spacing between joists will result in a decrease in the maximum span for any board size, as the boards will need to be stronger in order to support the weight and pressure. It is important to choose the right board size and joist spacing to maintain the structural integrity and safety of the building or structure.

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Bar graphs can be used to display both discrete and continuous data, making them a versatile tool for visualizing a wide range of information.

The graphic presentation of data that displays its categories as rectangles of equal width with their height proportional to the frequency or percentage of the category is called a bar graph.

In a bar graph, the bars represent the categories being compared and are arranged along the horizontal axis, with the height of each bar representing the frequency or percentage of the category being displayed.

Bar graphs are a useful tool for presenting numerical data in a visually appealing way, making it easy for viewers to compare different categories and draw conclusions from the data.

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The sequences are -

5, 8, 11, 14, 17,... - arithmetic sequence

4, 7, 12, 19, 31,... - neither

3, 6, 12, 19, 31,... - geometric sequence

What is arithmetic sequence?

The nth term of an arithmetic progression is determined using the arithmetic sequence formula. The series where the common difference between any two next words stays constant is known as an arithmetic sequence.

The first sequence is 5, 8, 11, 14, 17,...

The first term of the sequence is a = 5 and second term of the sequence is b = 8.

The difference between second and first term is 3.

Similarly the difference between third and second term is 3.

Therefore, the first sequence is an arithmetic sequence with a common difference of 3.

The second sequence is 4, 7, 12, 19, 31,...

The first term of the sequence is a = 4 and second term of the sequence is b = 7.

The difference between second and first term is 3.

Similarly the difference between third and second term is 5.

Therefore, the second sequence is neither an arithmetic nor a geometric sequence.

It does not have a constant common difference or ratio between consecutive terms.

The ratio of first and second term is 7/4.

The ratio of second and third term is 12/7.

The third sequence is 3, 6, 12, 19, 31,...

The first term of the sequence is a = 3 and second term of the sequence is b = 6.

The ratio of first and second term is 6/3 = 2.

The ratio of second and third term is 12/6 = 2.

Therefore, the third sequence is a geometric sequence with a common ratio of 2.

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Answer:

n=4

Step-by-step explanation:

7n - 4 = 24

24 + 4 = 28

7n = 28

n = 4    

OR  plug in the sets you gave and see if they equal 24

The model which properly represent the information in given axioms is Cross geometry (+).

In the given question we have following information,

by using the above axioms we draw a geometry of Cross sign Geometry as seen above .

We can draw a line which contains three points and these points are only from given five points another line also follow this . this geometry follows all given axioms . The two lines intersect each other at a point . The point of intersection is one of point from five points . both of lines are linear and consists three points .

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B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer: 89 m squared

Step-by-step explanation:

You will subtract the area of the triangle from the area of the rectangle.

Triangle area = 1/2(base)(height)

Area = 1/2(5)(6) = 15

Rectangle area = length x width

Area = 13 x 8 = 104

104 - 15 = 89 m squared

Hope this helped!

Answer:

(x + 8)(x + 3)

Step-by-step explanation:

Given

x² + 11x + 24

Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term (+ 11)

The factors are + 8 and + 3 , since

8 × 3 = + 24 and 8 + 3 = + 11 , then

x² + 11x + 24 = (x + 8)(x + 3) ← in factored form

Answer:

Step-by-step explanation:

Cross multiply:

12 * 21 = 7 * 36

Simplifying

12 * 21 = 7 * 36

Multiply 12 * 21

252 = 7 * 36

Multiply 7 * 36

252 = 252

Add '-252' to each side of the equation.

252 + -252 = 252 + -252

Combine like terms: 252 + -252 = 0

0 = 252 + -252

Combine like terms: 252 + -252 = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

(hope this helps can i plz have brainlist :D hehe)

From the calculations below, 12/7 and 36/21 are proportional, therefore, the statement is true.

The first fraction given is 12/7.

The second fraction given is 36/21.

In order to check, we can multiply both the numerator and the denominator by 3. This will be;

= (12 × 3) / (7 × 3)

= 36 / 21

Therefore, it has been solved that 12/7 and 36/21 are proportional.

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Answer:

Step-by-step explanation:

no solution

The final value of the investment after 8 years is approximately $2,346.09.

We can use the formula for compound interest to find the final value of the investment:

A = P(1 + r/n)^(nt)

where A is the final amount, P is the initial investment, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, P = 2000, r = 0.02 (2% expressed as a decimal), n = 4 (compounded quarterly), and t = 8.

Plugging in these values, we get:

A = P(1 + r/n)^(nt)

A = 2,000.00(1 + 0.02/4)(4)(8)

A = 2,000.00(1 + 0.005)(32)

A = $2,346.09

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a)The total energy needed during pregnancy is a quantitative variable because it represents a measurable quantity rather than a non-numerical characteristic.

b) The probability that a randomly selected pregnant woman has an energy need of more than 2625 is approximately 0.3085, or 30.85%.

c) The sample mean daily energy requirement for a random sample of 20 pregnant women, will be approximately normally distributed.

d) the probability corresponding to a z-score of 2.23 is approximately 0.9864.

(a) The total energy needed during pregnancy is a quantitative variable because it represents a measurable quantity (i.e., the amount of energy needed) rather than a non-numerical characteristic.

(b) To calculate the probability that a randomly selected pregnant woman has an energy need of more than 2625, we need to determine the z-score and consult the standard normal distribution table. With the following formula, we determine the z-score:

z = (x - μ) / σ

z = (2625 - 2600) / 50

z = 25 / 50

z = 0.5

Looking up the z-score of 0.5 in the standard normal distribution table, we find that the corresponding probability is approximately 0.6915. However, since we are interested in the probability of a value greater than 2625, we need to subtract this probability from 1:

Probability = 1 - 0.6915

Probability = 0.3085

Interpretation: Approximately 0.3085, or 30.85%, of randomly selected pregnant women have energy needs greater than 2625. This means that there is about a 30.85% chance of selecting a pregnant woman with an energy need greater than 2625.

(c) The sample mean daily energy demand for a randomly selected sample of 20 pregnant women, X, will have a roughly normal distribution. The population mean (2600) will be used as the sampling distribution's mean, and the standard deviation will be calculated as the population standard deviation divided by the sample size's square root. (50 / √20 ≈ 11.18).

(d) We follow the same procedure as in (a) to determine the likelihood that a randomly selected sample of 20 pregnant women has a mean energy need greater than 2625. Now we determine the z-score:

z = (2625 - 2600) / (50 / √20)

z = 25 / (50 / √20)

z = 25 / (50 / 4.47)

z = 2.23

Consulting the standard normal distribution table, we find that the probability corresponding to a z-score of 2.23 is approximately 0.9864.

Interpretation: About 0.9864, or 98.64%, of 20 pregnant women in a random sample would have a mean energy requirement greater than 2625. This means that if we repeatedly take random samples of 20 pregnant women and calculate their mean energy needs, about 98.64% of the time, the sample mean will be greater than 2625.

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9 is the  common factor of 9x + 36.

A number system is defined as a system of writing to express numbers.

The given expression is 9x+36

Factor is a number or algebraic expression that divides another number or expression evenly i.e., with no remainder.

The factors of 9 are 1,3,9

The factors of 36 are 1,2,3,4,6,9,12 and 18

The highest common factor is 9.

Take 9 as common from the expression.

9(x+4)

Hence, 9 is the  common factor of 9x + 36.

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Answer:

Here

Step-by-step explanation:

Domain : (-∞,∞)

Range : (-∞,∞)
Both functions generally are the same and yes both are functions.

One is the data set of a function and one is the equation...

Sorry if this isn't what you were looking for...

Answer:

Step-by-step explanation:45

Answer:

its  137. just trust me

Step-by-step explanation:

Answer:

8mm

Step-by-step explanation:

The volume of a cylinder is the base area times the height. The base is a circle, and we are not given the radius, so let the radius of the circle of the base of the circle be r. The area of a circle would be \(\pi r^{2}\). This multiplied by the height, which is 15, is \(15\pi r^{2}\). The volume is given to be 753.6, so we can make this an equation:

753.6 = \(15\pi r^{2}\)

We are told to use 3.14 for pi, so:

\(753.6 = 15 * 3.14 * r^{2}\)

\(r^{2} = 16\)

\(r = 4\)

The diameter is twice the radius, so the diameter is 8mm.

Answer:

8 mm

Step-by-step explanation:

Formula to find volume :

Volume (cylinder) = πr²h

⇒ 753.6 = 3.14 × r² × 15

⇒ 47.1 × r² = 753.6

⇒ r² = 753.6/47.1

⇒ r² = 16

⇒ r = 4 mm

Relating radius and diameter :

Diameter = 2 × Radius

⇒ Diameter = 2 × 4 mm

⇒ Diameter = 8 mm

Answer: look at the picture and I don’t know how to solve for b but I can do h

Step-by-step explanation: hope this help :)

Answer:

i dont know

Step-by-step explanation:

i dont know

Answer: 819x/50

Step-by-step explanation:

Answer:

hes is right you dont have to thank me 819x/50

Step-by-step explanation:

The value of y is 6. When dividing 24 by 4, you get 6.

Answer:

We can use the fact that tan(-θ) = -tan(θ) to find the value of tan(-θ) from the given values of cos(θ) and sin(θ). First, we can use the Pythagorean identity to find the value of cos²(θ) + sin²(θ):

cos²(θ) + sin²(θ) = (0.8)² + (0.3)² = 0.64 + 0.09 = 0.73

Now, we can use the fact that cos²(θ) + sin²(θ) = 1 to find the value of cos(-θ) and sin(-θ):

cos(-θ) = cos(θ) = 0.8

sin(-θ) = -sin(θ) = -0.3

Finally, we can use the definition of tangent as the ratio of sine to cosine to find the value of tan(-θ):

tan(-θ) = -tan(θ) = -(sin(θ) / cos(θ)) = -0.3 / 0.8 = -0.375

Therefore, tan(-θ) = -0.375.

Step-by-step explanation:

\(67.21^0\) is the angle with the transmission axis of the sheet make with the horizontal when its intensity is 15% of incident light .

The term intensity is used to describe the rate at which light spreads over a surface of a given area which is at some distance from a source.

the formula of intensity of light is

   \(i = i_0 cos^2 (\alpha )\)

where is the intensity at the given angle \(\alpha\)

given that only 15% of the intensity of the incident light is transmitted through the sheet.

 so   \(\frac{i}{i_0} * 100\)  =15 so i/i0 = 0.15

so \(cos^2 (\alpha ) = 0.15 , cos (\alpha ) = 0.38729\)

\(\alpha\)  =  67.21 degree is requied answer of this question

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Let, number of small, medium and large popcorn sold are s, m and l respectively.

So, s + m + l = 250    ....1)

Also, l = 2s     ....2)

Total sum = $1726 = 2s + 5m + 10l     .....3)

Putting value of l from 2) to 1) is :

s + m + 2s = 250

m + 3s = 250    

m = 250 - 3s      ....4)

Putting value of m and l in terms of s in equation 3)

We get :

2s + 5( 250 - 3s ) + 20s = 1726

7s = 1726 - 1250

s = 68

l = 136

m = 250 -3(68) = 46

Now,

\(P_s=68\times 2 = \$136\\\\P_m = 46\times 5 = \$230\\\\P_l = 136\times 10 = \$1360\)

Hence, this is the required solution.

To convert a fraction into a decimal you have to divide the numerator by the denominator. For example, to convert 39/8, you need to divide 39 by 8, which is equal to 4.875.

Answer:

A

Step-by-step explanation:

when you divide a fraction, you actually multiply by the reciprocal

Answer:

The correct answer is A, 4/5 x 5/4.

Step-by-step explanation:

I just remember to Keep Change Flip which means keep the first fraction exactly how it is, change the sign to a division sign, and flip the last fraction. So, go from 4/5 ÷ 4/5 = 4/5 x 5/4.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

Answer:

c bro okkkkkkkkkkkkkkmmmmmmmkkkkkkkkkbey

Answer:

1. 27 bouquets

2. a, d, e

Step-by-step explanation:

1. Rate of increase is 1 bouquet:9 flowers (found by dividing 3 and 27 by GCF which is 3) so if she has 243 flowers you divide that by 9 to get 27 bouquets.

Answer: The formula for compound interest is A = P(1 + r/n)^(nt) where A is the amount, P is the principal (initial deposit), r is the interest rate, t is the time in years, and n is the number of times compounded per year.

To find out how many years it will take for the money to grow to 500 naira, we can set A equal to 500, P equal to 400, r equal to 5% (or 0.05), and n equal to 1 (since the interest is compounded annually).

Plugging these values into the formula, we get:

500 = 400(1 + 0.05)^t

By solving this equation, t = 3.32 years.

So, it will take 3.32 years for the money in the savings account to grow to 500 naira.

Step-by-step explanation:

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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