Maths question. 25 points, working out.

Maths Question. 25 Points, Working Out.

Answers

Answer 1

By doing some changes of units, we will see that Oliver has the tallest plant.

Who has the tallest tomato plant?

Here we need to do some changes of units, let's write all the units in centimeters.

First, we know that 1m = 100cm

Then:

0.38m = 0.38*100cm = 38cm

We also know that:

1 mm = 0.1cm

Then:

420mm = 420*(0.1)cm = 42cm

Then the 3 measures are:

Oliver: 45cm

Neil: 38cm

Elizabeth: 42cm

We can see that Oliver has the tallest tomato plant.

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Related Questions

A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 22 times, and the man is asked to predict the outcome in advance. He gets 16 out of 22 correct.
What is the probability that he would have done at least this well if he had no ESP?
Probability= ?

Answers

2.16% probability that the man would have done at least this well if he had no ESP.

As we know that for each coin toss, there are only two possible outcomes. Either he predicts the correct outcome, or he does not. Therefore, the tosses are independent. So, we can use the binomial probability distribution:

Binomial probability distribution says that, the binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X=x) = Cₙ, ₓ.pˣ.(1-p) ⁿ⁻ˣ

here, Cₙ, ₓ is the number of different combinations of the x objects from a set of n elements, which is given by the following formula:

Cₙ, ₓ = n/x(n-x)

here, p is the probability of X happening, therefore,

fair coin: Equally as likely to be heads or tails, so p = 0.5

number of times coin is flipped = 22

n = 22

now for the probability that he would have done at least this well if he had no ESP:

P(X>16) = P(X=16) + P(X=17) + P(X=18) + P(X=19) + P(X=20) + P(X=21) + P(X=22)

In which;

P(X = 16) = 0.0143; P(X = 17) = 0.0053; P(X = 18) = 0.0016; P(X = 19) = 0.0004; P(X = 20) = 0.0001

for the other values we know that they are close to 0, hence,

P(X>16) = P(X=16) + P(X=17) + P(X=18) + P(X=19) + P(X=20) + P(X=21) + P(X=22) = 0.0216

So we know that 2.16% probability that he would have done at least this well if he had no ESP

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1. Kurt used the rule add 4, subtract 1 to generate a pattern. The first term in his pattern is 5. Write a number that could be in Kurt's pattern.that explains the fraction​

Answers

Answer:

Step-by-step explanation:

5, 4, 3, 7, 6, 10, 9, 13, 12, 16, 15

Answer:

Step-by-step explanation:

What is the solution of Chinese Remainder Theorem?

Answers

The solution of the Chinese Remainder Theorem can be calculated by using the formula: [tex]{\displaystyle x=\sum _{i=1}^{k}a_{i}M_{i}N_{i}.}[/tex]

According to the Chinese remainder theorem, if one knows the remainders of the Euclidean division of an integer n by multiple numbers, one may uniquely calculate the remainder of the division of n by the product of these integers, provided that the divisors are pairwise coprime (no two divisors share a common factor other than 1).

For example, if we know that the remainder of n divided by 3 is 2, the remainder of n divided by 5 is 3, and the remainder of n divided by 7 is 2, we may calculate the remainder of n divided by 105 (the product of 3, 5, and 7) without knowing the value of n. This tells us that if n is a natural number less than 105, then the only possible value of n is 23.

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Consider the initial value problem 5y? , y(0) = yo For what value(s) of yo will the solution have vertical asymptote at t=4 and t-interval of existence C < 4?

Answers

the initial value problem dy/dt = 5y, y(0) = y0, the solution has a vertical asymptote at t = 4 only when y0 = 0, and the time interval of existence is the entire real line, (-∞, ∞).

The initial value problem given is: dy/dt = 5y, y(0) = y0

The solution to this differential equation is: y(t) = y0 × e⁽⁵t⁾

To find the value(s) of y0 for which the solution has a vertical asymptote at t = 4, we need to set t = 4 and solve for y0 such that the solution becomes infinite.

y(4) = y0 × e⁽⁵ˣ⁴⁾ = y0 × e²⁰

For the solution to have a vertical asymptote at t = 4, y0 × e²⁰ must be infinite. This means that y0 must be equal to 0.

Next, we need to determine the time interval of existence C<4 for the solution. The solution is continuous and differentiable for all values of t, so the time interval of existence is the entire real line, (-∞, ∞). Therefore, for the initial value problem dy/dt = 5y, y(0) = y0, the solution has a vertical asymptote at t = 4 only when y0 = 0, and the time interval of existence is the entire real line, (-∞, ∞).

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what is the statistical test that will be used in this week's lab

Answers

The correct option is (a) Student's t-test. The statistical test that will be used in this week's lab is  Student's t-test.

Student's t-test is a statistical test used to compare the mean of two samples. It is used to determine whether there is a statistically difference among two populations or not. The t-test generally calculates the difference.

And if that difference is large till the limit, then it can be summarized that the means of two samples are very different. The t-test can be useful in comparison the means of two independent samples or the means of two dependent samples. And it is basically based on the Student's t-distribution.

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Full Question:

'What is the statistical test that will be used in this week's lab?

a. Student's t-test

b. No statistical test will be run on this data

c. Chi-square test

d. Kruskal-Walls test

e. Rank-sum test

how to convert 20 lb to kg

Answers

Answer:

20 lbs = 9.07185 kg

20 x 0.45359237

Step-by-step explanation:

multiply the given lbs value by 0.45359237 kg and you’ll get your answer.

2 dice are thrown simultaneously what is the probability that the sum of the faces that the

Answers

The probability of the sum of the faces that the 2 dice are thrown simultaneously can be found by using the formula for the probability of independent events, which is P(A) * P(B).

The probability of the sum of the faces when 2 dice are thrown simultaneously depends on the specific sum you are looking for. You can use the formula P(A) * P(B) and the number of possible outcomes for each sum to find the probability.

First, let's determine the probability of each event. The probability of rolling a specific number on a single die is 1/6, since there are 6 possible outcomes. Therefore, the probability of rolling a specific number on both dice is (1/6) * (1/6) = 1/36.

Next, we need to determine the number of possible outcomes for the sum of the faces. There are 11 possible sums (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12), each with a different number of possible outcomes. For example, there is only one way to roll a 2 (1 + 1), but there are six ways to roll a 7 (1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, 6 + 1).

Finally, we can use the formula to find the probability of each sum. For example, the probability of rolling a 7 is (6/36) = 1/6. The probability of rolling a 2 is (1/36).

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determine if the columns of the matrix form a linearly independent set.[1 4 -3 0 -2 -2 4 1 -4 -5 7 5]

Answers

Hmm, never seen that before. 18 73722

What is the equation of the line that is parallel to the given line and passes through the point (−2, 2) ?

A. y=1/5x+4

B. y=1/5x+12/5

C. y=−5x+4

D. y=−5x+12/5

Answers

As a result, option B is the equation of the line parallel to the specified line and passing through the point (2, 2): y = 1/5x + 12/5.

What is equation?

An equation is a mathematical statement that two expressions are equal. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), separated by an equals sign (=). The two sides represent the same value, so any operation performed on one side must also be performed on the other side to maintain equality.

Here,

The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. Two lines are parallel if and only if they have the same slope.

The given line has a slope of 1/5, so any line that is parallel to it must also have a slope of 1/5.

We want to find the equation of a line that is parallel to the given line and passes through the point (-2, 2). We can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope of the line. Substituting the values we have:

y - 2 = (1/5)(x - (-2))

y - 2 = (1/5)(x + 2)

Multiplying both sides by 5 to eliminate the fraction, we get:

5(y - 2) = x + 2

5y - 10 = x + 2

x = 5y - 12

This is the equation of the line that is parallel to the given line and passes through the point (-2, 2).

However, we can also rewrite the equation in slope-intercept form if we prefer. Solving for y in terms of x, we get:

x = 5y - 12

x + 12 = 5y

(1/5)(x + 12) = y

y = (1/5)x + 12/5

So, the equation of the line that is parallel to the given line and passes through the point (-2, 2) is:

y = (1/5)x + 12/5

Therefore, the equation of the line that is parallel to the given line and passes through the point (−2, 2) is option B: y = 1/5x + 12/5.

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Find the solution of the system of equations. -5x+7y= −5x+7y= \,\,40 40 10x+7y= 10x+7y= \,\,25 25

Answers

The quadratic equation of x2-6x+9=0 is C) (x-2)(x+3).

What is equation?

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

This equation is an example of a quadratic equation, which is an equation of the form ax2+bx+c=0, where a, b, and c are real numbers, and a is not equal to 0. In this equation, a is equal to 1, b is equal to -6, and c is equal to 9. To solve this equation, we need to use the quadratic formula, which states that the solutions to the equation are x= -b ± √b2-4ac / 2a. Therefore, the solutions to this equation are x= -(-6) ± √(-6)2-4(1)(9) / 2(1), which simplifies to x=3 ± √3 /2, or x=3 ± √9 /2. This simplifies to x=3 ± √3, or x=3 ± 1. Therefore, the solutions to this equation are x=2 and x=4. The factored form of this equation is (x-2)(x+3), which is option C.

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Mr. Brown wants to place a water heater that has a volume of 100 liters and a diameter of 40 cm into a strong-box. Will the water heater fit in the strong-box if it has a width of 45 cm and a height of 90 cm? Use П as 3.14.

Answers

Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.

what is cylinder ?

The cylindrical, which is frequently a lobed solid, comprises one of the most simple curvature geometric forms. In simple geometry, it is known as a prism with a circle as its basis. The term "cylinders" is also used to refer to an infinitely curved surface in a number of modern domains of topology and geometries. A "cylinder" is a two half object made up of curved surfaces with circle tops and bases. A cylinder is a two half solid figure with two bases that are both similar circles connected at its height, which is controlled by the separation of the legs from the center. Cans of iced drinks and the wicks from toilet paper are example of cylinders.

given

r = d/2 = 40/2 = 20 cm

v = pi *r*r*h

100 = 3.14 * 20*20 *h

100 = 1256*h

h = 0.08 cm

strong box = surface area of cuboid = 45 * 90

= 4050 cm2

surface area of water heater = A=2πrh+2πr2=2·π·20·0.08+2·π·202

≈2523.3

Yes, the room heater will fit into the robust box, which is 45 cm in width and 90 cm in height.

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how to convert 169 lbs to kg?

Answers

The value on converting 169 lbs to Kilograms (Kg) is  equivalent to 76.65 Kg .

The Pound (lbs) and Kilogram (Kg) are both the units of measurement used for weight or mass.

They both belong to different systems of measurement. Pound is a unit of measurement in the Imperial and US Customary systems, whereas kilogram is a unit of measurement in the International System of Units (SI).

We know that One pound is = 0.4535 kilograms,

We have to convert 169 lbs to Kg ,

We write ;

⇒ 169 lbs = 169 × 0.4535 Kg ;

⇒ 169 lbs = 76.6415 Kg ≈ 76.65 Kg .

Therefore , 169 lbs is approximately equal to 76.65 Kg .

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Find m∠BDC big ideas

Answers

In the triangle BCD the value of ∠BDC is 105°.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

In ΔABC and ΔBCD it is given that -

∠A ≅ ∠B

∠ADC ≅ ∠BCD

If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.

So, by the theorem stated above -

∠ACD ≅ ∠BDC

In ΔACD he sum of angles of a triangle is 180°.

The equation will be -

∠ACD + ∠ADC + ∠A = 180°

Substitute the values in the equation -

∠ACD + 30° + 45° = 180°

∠ACD + 75° = 180°

∠ACD = 180° - 75°

∠ACD = 105°

Now, since ∠ACD ≅ ∠BDC.

So, ∠BDC = 105°.

Therefore, the measure of ∠BDC is 105°.

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help me for 30 points!!.

Answers

Answer:

d!!

Step-by-step explanation:

what is 3 4 as a decimal

Answers

3/4 in a decimal, divide the denominator by the numerator to get 3/4 as a decimal 3/4 is 0.75.

We divide the numerator by the denominator to convert a fraction to a decimal number. This results in a decimal value because, when dividing, we add the decimal place and then add the necessary number of zeros to finish the division.

3/4

3[1/2 x 1/2]

3 x [0.5 x 0.5]

3 x 0.25

0.75

To convert a fraction to a decimal, all you have to do is divide the numerator by the denominator. We position the number over its place value when converting a decimal to a fraction.

Just dividing the numerator by the denominator is all that is required to convert a fraction to a decimal.

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Sally goes out for breakfast once per week and gets the same thing each time, for a total of $4.52 per trip. She has already spent $31.64 this year on her breakfast. What is the first term of the sequence? To get to the next term, you would. This means that the common difference is There are 20 weeks left in this school year for Sally. If she continues getting breakfast at this rate how much money will she have spent on breakfast by the end of the year?

Answers

The requried first term of the sequence is $6.32.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values

Here,
The amount of money Sally spends on breakfast each week forms an arithmetic sequence.

Let's use the formula for the sum of an arithmetic sequence to find the first term of the sequence. We know that Sally has already spent $31.64, which means that she has made 31.64/4.52 = 7 visits to the breakfast place. So the sum of the first 7 terms of the sequence is:

S₇ = 7/2 * (a₁ + a₇)

We know that a₇ = $4.52, so we can plug this into the formula and simplify

S₇ = 7/2 * (a₁ + 4.52)

a₁ = $6.32

Similarly, all the outcomes can be evaluated,
By the end of the year, Sally will have spent $891.36 on breakfast.

Therefore, the first term of the sequence is $6.32.

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what is 3 to the 2 power?

Answers

The equivalent to the expression 3², which equals 9.

An exponent is a mathematical operation that involves raising a number to a certain power. In this case, you are curious about what 3 to the 2 power means. Let's explore this concept further.

When we write 3 to the 2 power, it means that we are multiplying 3 by itself two times. This can also be written as 3 raised to the power of 2, which is represented by the notation 3².

To illustrate this concept, let's use an example. Consider the expression 3². This means that we need to multiply 3 by itself twice, as indicated by the exponent of 2. In other words:

3² = 3 x 3 = 9

So, 3 to the 2 power is equal to 9. Another way to think about this is to imagine a square with sides of length 3. The area of this square would be 3 x 3, or 9.

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7) A sloppy joe restaurant gave 7 napkins for every 5 items ordered. If someone bought 35 items, how many napkins should they get? n​

Answers

Answer: 49 napkins

Step-by-step explanation:

7 every 5

35/5=7

7*7

49

Answer: 25 napkin

Based on the given conditions, formulate: 35 x 5 divided by 7

35 x 5= 175/7= 25

Amelia has 2 gallons of paint. She uses
1/3 of the paint on a fence. How many
gallons of paint does she use?

Answers

Answer:

2/3 gallons

Step-by-step explanation:

0.67 gallons or 2/3 gallons is used on the fence.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

Amount of gallons = 2 gallons

The amount used on a fence.
= 1/3 of 2 gallons

Now,

1/3 x 2 gallons

= 2/3 gallons

= 0.67 gallons

Thus,

0.67 gallons or 2/3 gallons is used on the fence.

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What is the solution to this equation?
25
= 15
O A. x = 20
OB. x = 3
OC. x = 10
OD. x =
75

Answers

The solution to the equation 25 - x = 15 is x = 10.

This question is incomplete, the complete question is;

What is the solution to this equation?

25 - x = 15

What is the solution to the given equation?

Given the equation in the question;

25 - x = 15

To solve for x, collect like terms and solve for x.

25 - x = 15

Subtract 25 from both sides

25 - 25 - x = 15 - 25

-x = 15 - 25

-x = -10

Divide both sides by -1

-x / -1 = -10 / -1

x = -10 / -1

x = 10

Therefore, the value of x is 10.

Option C) 10 is the correct answer.

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Name one math concept that you struggle with initially but you eventually understood it?????????

Answers

Finding domain and range
(Speaking in first person) One math concept I struggled with initially were exponents. I kept making the mistake of multiplying the number by the exponent, example: 6^2, instead of the correct answer 36, I would put 12. Eventually I got the hang of it by practicing asking for help when needed.

A cookie recipe calls for 2 3/3 cups of flour. If Ricky wants to make 1 1/2 times the recipe. How much flour does he need?

Answers

To find out how much flour Ricky needs, we first need to find 1 1/2 times the amount of flour in the original recipe.

2 3/3 cups of flour is the same as 8/3 cups of flour.

To find 1 1/2 times the amount of flour in the original recipe, we can multiply 8/3 by 1 1/2:

8/3 x 3/2 = 24/6 + 4/6 = 28/6

So 1 1/2 times the amount of flour in the original recipe is 28/6 cups of flour.

To find out how much flour Ricky needs, we can multiply this amount by 1 1/2:

28/6 x 3/2 = 84/12 + 18/12 = 102/12

So Ricky needs 102/12 cups of flour, which simplifies to 8 1/2 cups of flour.

Viola drives 200 meters up a hill that makes an angle of 3 degrees with the horizontal. To the nearest tenth of a meter , what horizontal distance has she covered ?

Answers

Viola has covered a horizontal distance of 199.7 meters when driving 200 meters up a hill that makes an angle of 3 degrees with the horizontal.

What horizontal distance has she covered?

Viola drives 200 meters up a hill that makes an angle of 3 degrees with the horizontal. To find the horizontal distance she covered, we can use the cosine formula:

Cos(θ) = adjacent/hypotenuse

In this case, the adjacent side is the horizontal distance we are trying to find, the hypotenuse is the distance she drove (200 meters), and the angle is 3 degrees. Plugging in these values, we get:

Cos(3º) = adjacent/200

Rearranging the equation to solve for the adjacent side, we get:

adjacent = 200*cos(3)

Using a calculator, we find that cos(3) is approximately 0.9986. Multiplying this by 200 gives us:

adjacent = 199.72

Therefore, the horizontal distance that Viola covered is approximately 199.72 meters.

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Examine the diagram of circle D, where two chords, JL¯¯¯¯¯¯¯ and FH¯¯¯¯¯¯¯¯, are equidistant from D. Segment BC is a diameter of circle D and bisects JL¯¯¯¯¯¯¯ and FH¯¯¯¯¯¯¯¯ at points K and G, respectively.

The diagram as described in the problem.


Which statements are true?

Select all that apply.

1. m∠FCG=90∘
2. ∠JKB≅∠FGC
3. m∠BKL=90∘
4. ∠BKL≅∠FCG

Answers

Answer:2

Step-by-step explanation:

Use <,>, or =
1.9 ? 1.90

0.05 ? 0.2

3.88 ? 6.38

Answers

The comparision between decimal number are 1.9 = 1.90, 0.05 < 0.2, 3.88 < 6.38

How can we express numbers belonging to decimal numeral system?

Suppose that the number is abcd.efg and belongs to the decimal numerical system.

Therefore, one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.

Move one-one places to left, and multiply (un-divide) by 10 and 10 more and more.

Here we can see that

1.9 = 1.90

0.05 < 0.2

3.88 < 6.38

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when samuel asked to borrow 1000, his dad told him he must pay it back in 6 months and he will be charged 12%. How much interest will samuel have to pay

Answers

The simple interest Samuel will have to pay will be 60 Rs.

What exactly is simple interest?

Simple Interest is a simple way for computing interest on a loan or principle amount. Simple interest is a concept that is employed in numerous industries, including banking, finance, and automobiles. When you make a loan payment, the monthly interest is deducted first, followed by the principle amount.

The simple interest formula is as follows:

SI=P*R*T/100

SI stands for simple interest.

P stands for principal.

R is the interest rate (in percentage)

T denotes the length of time (in years)

The following formula is used to compute the total amount:

Amount (A) = Principal (P) x Simple Interest (SI)

Now,

As given principle=1000

rate=12%

time=6 months=1/2 years,

Then interest in 6 months will be = 1000*12*1/2*100

=10*12/2

=10*6

=60

Hence,

           The simple interest Samuel will have to pay will be 60 Rs.

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A circular table top of radius 1m has an inner section of radius 75cm which Is made of glass and outer section of wood.if the glass costs #2500per m²,and wood costs #1500per m²,what is the cost of the top of the table,correct to nearest naira

Answers

The cost of the top of the table, to the nearest naira, is 7678.

What is area of circle ?

Area of circle can be defined as the product of pi and square of radius of circle.

The area of the circular table top can be found using the formula for the area of a circle:

[tex]A = pi*r*r[/tex]

where r is the radius of the entire circle.

[tex]A = π(1m)^2 = π m^2[/tex]

The area of the inner glass section can also be found using the same formula, but with the radius of the glass section:

A_glass =[tex]π(0.75m)^2 = 0.5625π m^2[/tex]

The area of the outer wooden section can be found by subtracting the area of the inner glass section from the area of the entire circle:

A_wood = A - A_glass = [tex]π m^2 - 0.5625π m^2 = 0.4375π m^2[/tex]

The cost of the glass section is 2500 per m², so the cost of the glass section can be found by multiplying the area of the glass section by the cost per square meter:

Cost_glass = [tex]0.5625π m^2 × 2500/m² ≈ 4418.60[/tex]

Similarly, the cost of the wooden section can be found by multiplying the area of the wooden section by the cost per square meter:

Cost_wood [tex]= 0.4375π m^2 × 1500/m² ≈ 3259.68[/tex]

The total cost of the table top is the sum of the cost of the glass section and the cost of the wooden section:

Total cost = Cost_glass + Cost_wood ≈ 7678.28

Therefore, the cost of the top of the table, to the nearest naira, is 7678.

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2.13(m + 2) = 8.52
what is the answer

Answers

Answer:

2

Step-by-step explanation:

2.13 (m + 2) = 8.52

m + 2 = 8.52/2.13

m + 2 = 4

m = 4 - 2

m = 2

•each of the vertices lies in a different quadrant

•the perimeter of the square is 28 units

•the y-axis is a line of symmetry

Answers

The rectangle with the given properties is added as an attachment

How to make the rectangle

From the question, we have the following parameters that can be used in our computation:

Vertices = Different quadrantsPerimeter = 28 unitsLine of symmetry = y-axis

We start by calculating the side lengths using

Perimeter = 2 * (Length + Width)

So, we have

2 * (Length + Width) = 28

Divide by 2

Length + Width = 14

Because the y-axis is a line of symmetry, then it means that the rectangle is divided into equal segments by the y-axis

Here, we can assume that

Length = Width (this is so because a square is a type of rectangle)

So, we have

Length = Width = 7

The above computations also mean that the vertices are equidistant from the axes and the origin

So, we have

Vertices = (3.5, 3.5), (3.5, -3.5), (-3.5, 3.5) and (-3.5, -3.5)

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rational number definition

Answers

A rational number is one that has a non-zero denominator and can be written as a fraction of two integers.

A rational number is one that has a non-zero denominator and can be written as the ratio of two integers. This indicates that a rational number must have an integer denominator and numerator, and that the denominator cannot be 0.

Rational numbers can be positive or negative, and they include all integers, fractions, and terminating or repeating decimals. A and b can be stated as a/b when both of them are integers and b is not equal to 0. It is essential to understand rational numbers in mathematics, and fields like computer science, physics, and engineering frequently use it in their daily work. as well as computer science.

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