The area of a children square playground is 50m squared.
a. what is the exact length of the playground
2. pine logs 3m long are to be laid around the playground. How many logs will need to be bought?

Answers

Answer 1

Answer:

a. solution

Area = 50 m^2

Area of square = l^2

or, 50 m^2 = l^2

or, √50m^2 = l

or, 5√2 m= l

Hence, The exact length of the playground is 5√2 m.


Related Questions

Find the z* values based on a standard normal distribution for an 86% confidence interval for a proportion, for a 78% confidence interval for a mean.

Answers

The z values are-

confidence interval 86 % = 1.0confidence interval 78% = 0.8Describe the term confidence interval?The likelihood that a parameter might fall between two values near the mean is shown by a confidence interval.Confidence intervals quantify when certain or uncertain a survey method is.They are also utilized in regression analysis and hypothesis testing.P-values and confidence intervals are commonly used by statisticians to determine statistical significance.They are often built with 95% or 99% confidence levels.Although they are related, confidence level and confidence interval are not the same thing.

Obtain the  z values from the t-distribution table for 0.86 and  0.78 confidence interval.

confidence interval 86 % = 1.0confidence interval 78% = 0.8

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I need the explanation to understand pleasey= -2(x-1)^2 - 5A.) Identify the coefficients (a, h, and k) B.) Tell whether the graph opens up or opens down. C.) Find the vertex. Write as a coordinate. D.) Find the axis of symmetry. Write as an equation. E.) Find two more points on the graph. You can choose what x - values to use. Write your points as coordinates (x, y).

Answers

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



A.) Identify the coefficients (a, h, and k)



B.) Tell whether the graph opens up or opens down.



C.) Find the vertex. Write as a coordinate.



D.) Find the axis of symmetry. Write as an equation.



E.) Find two more points on the graph. You can choose what x - values to use. Write your points as coordinates (x, y).

Part a) we have a quadratic equation (vertical parabola) written in vertex form

y=a(x-h)^2+k

where

a is the leading coefficient

(h,k) is the vertex

in this problem

a=-2

(h,k)=(1,-5)

so

h=1

k=-5

Part b) the graph open downward (because a is negative)

Part c) the vertex is the point (1,-5) see the part a

Part d) Axis of symmetry

the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

x=h

we have

h=1

therefore

x=1

Part e) Find two points

For x=0

substitute

y= -2(0-1)^2 - 5

y=-7

First point (0,-7)

For x=1

y= -2(1-1)^2 - 5

y=-5

the second point is (1,-5) -----> is the vertex

For x=2

y= -2(2-1)^2 - 5

y=-7

the point is (2,-7)

What percent of 41.7 is 39?


Answers

41.7% of 39 is 16.263

Identify the numerator and denominator of the following number.
1/6

Answers

The numerator is the top number while the denominator is the bottom number. So 1 is the numerator and 6 is the denominator.

A computer training institute has 625 students that are paying a course fee of $400. Their research shows that for every $20 reduction in the fee, they will attract another 50 students. Which equation could be used to represent this situation, where x is the course fee and R(x) is the total revenue?
R(x) = −2.5x2 + 1625x
R(x) = −3x2 + 1650x
R(x) = 3x2 − 1650x
R(x) = 2.5x2 − 1625x

Answers

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

What is an Equations?  

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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The stock market report says that 9 stocks went up for every 10 stocks that
went down. If 1140 stocks went down yesterday, how many went up? Set up
and solve a proportion for the problem.

Answers

There are 1026 went up for 1140 stocks went down.

We have to given that;

The stock market report says that 9 stocks went up for every 10 stocks that went down.

Since, We know that;

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Let us assume that,

Number of went up for 1140 stocks went down is, x

Hence, By definition of proportion, we get;

9 / 10 = x / 1140

x = 9 x 1140 / 10

x = 9 x 114

x = 1,026

Thus, Number of went up for 1140 stocks went down is, 1,026

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18. True or False. If a function has a real sero of 4 with a multiplicity of three and an imaginary
zero of 41, then it has a degree of four.
19. True or False. The imaginary number 27 is a nero of ƒ(x) = x² −x² + 4x − 4.
20. True or False. The quotient of (x²-x² − 16x + 16) + (x − 1) is an irreducible quadratic.
For problems 21-26, use the limits of a polynomial to determine the end behavior.
Find the zeros of the function and indicate multiplicity. Then write the polynomial as a
product of linear factors. Sketch the graph, showing all intercepts.
/(x)=x² + 3x²-4
21. lim f(x) =
22. lim f(x) =
23. Zeros of f(x):
24. y-intercept of f(x):
25. Product of linear and irreducible quadratic factors of fix)
26. Sketch of f(x) using end behavior and intercepts. NO Desmos graphs.

Answers

The polynomial's zeros must be located using a method of your choice, and the linear expressions that produce those zeros must then be combined in order to describe the polynomial as a product of linear factors.

What is a linear factor of a polynomial?

The term "triple zero" or "zero with multiplicity 3" is used to describe this. The power p governs the behaviour close to the x-intercept if a polynomial has a factor of the type (xh)p. A zero of multiplicity p is defined as x=h. The x-axis will be touched at zeros with even multiplicities on a polynomial function's graph.

A real number is multiplied by an imaginary unit, I whose feature i2 = 1 defines it as an imaginary number. Bi is an imaginary number, while b2 is its square. For instance, the square of the fictitious integer 5i is 25. Zero is regarded as both real and fictitious by definition.

You must first determine the polynomial's zeros using the method of your choice, and then combine the linear equations that result in those zeros. If you factor, you will arrive at the third degree polynomial, which must then be sorted through.

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You measure 48 backpacks' weights, and find they have a mean weight of 70 ounces. Assume the population standard deviation is 6.4 ounces. Based on this, construct a 99% confidence interval for the true population mean backpack weight.

Give your answers as decimals, to two places

Answers

The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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need help asap please

Answers

Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.

How to explain the strategies used

Mary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.

Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.

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The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.

40 people attended the play. 15 were women, 10 were men, and 15 were children. what fraction were men?​

Answers

Answer:

10/40 were men, or simplified the amount is 1/4 of the total is men

6 * 10x^{-3}/8*10x^{-6}

Answers

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

Simplifying an expression

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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Please help I been stuck on this question for so long

Please help I been stuck on this question for so long

Answers

Answer: 1/ 3 ^9

Step-by-step explanation:

Answer:

1/39

Step-by-step explanation:

3-9=1/39

The answer is 0ne over three exponent nine

Explain step by step please!

Thirty copies of a textbook weigh a total of 75lb. What is the weight of each book?

Answers

Answer:

Each book weighs 2.5 pounds.

Step-by-step explanation:

75/2.5 is 30.  Or you could also get the answer by 30* 2.5 which it would be 75. So, therefor, the answer is 2.5.

Answer:

2.5lb

Explanation:

In equation form the question is asking for x in

\(30(x) = 75\)

Since multiplication is reversible (to be division), we can switch the equation up.

\(75\) ÷ \(30 = x\)

So the answer is

\(75\) ÷ \(30 = 2.5\)

The students in Miss Jackson's class are collecting pennies they decide to displayed in his facts of 10 how many stacks can they make with 345 pennies how many single pennies will they have left

Answers

34 Stacks of 10 with 5 pennies left.

Answer:

34 stacks with 5 pennies left

Step-by-step explanation:

345 / 10 = 34.5

10 * 34 = 340

345 - 340 = 5

The boxplot shown below results from the heights (cm) of males listed in a data set. What do the numbers in that
K boxplot tell us?
156
168.1
173.7
The minimum height is
third quartile Q3 is
(Type integers or decimals. Do not round.)
181.4
cm, the first quartile Q, is
cm, and the maximum height is
192
cm, the second quartile Q₂ (or the median) is
cm.
cm, the

The boxplot shown below results from the heights (cm) of males listed in a data set. What do the numbers

Answers

From the given box plot, it is found that:

The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.

What does a box-and-whisker plot shows?

A box and whisker plot shows five things:

The minimum value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum value.

The measures are shown in order, from left to right, hence:

The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.

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Mr. Salazar cut his son’s birthday cake into 8 equal pieces. Mr. Salazar, Mrs.
Salazar, and the birthday boy each ate 1 piece of cake. What fraction of the cake
was left?
PLSSSS HELP ME WILL GIVE BRAINLESSLY

Answers

Answer:

5/8

Step-by-step explanation:

What is the value of x?

What is the value of x?

Answers

Answer:

x=1

Step-by-step explanation:

6.(03.02) Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 represent in this situation you created? ​

Answers

Possible Answer 1:

Positive values represent elevations above sea level, while negative values are elevations below sea level. For example, a building may be +100 or simply 100 feet high. Another example: going scuba diving could lead the diver to reach a elevation of -10 meters. The value 0 is the exact location of sea level itself. In other words, if your elevation is 0, then you are at the surface of the water.

==========================================================

Possible Answer 2:

Often in money, loans and borrowing happens. If so, then we use negative numbers to indicate debt. If someone has a bank balance of say -10 dollars, then they owe the bank $10. Positive values mean that they don't owe the money and it's entirely theirs to spend however they want. A balance of 0 means they neither have money, nor do they owe anyone.

==========================================================

Possible Answer 3:

Let's say we define negative distance to mean that you walk some amount to the left (to match up with the fact the negative x values point left). So for instance, we could say the number -14 indicates you walked 14 feet to the left. Positive values on the other hand will mean you walk some amount to the right. Drawing an x axis number line is very recommended. The value 0 indicates that no walking has occurred at all.

==========================================================

Of course, when you write your answer, it should be in your words only. Those answers posted above are just a springboard to get you started.

answer the question for me

answer the question for me

Answers

Answer: 1, 2, and 4.

Step-by-step explanation: Each must be wider than the angle than a "L" has.

2.4.6.8. 10.... geometrical,arithmetic or neither?​

Answers

Answer:

This is an arithmetic sequence.

Step-by-step explanation:

The difference between the consecutive terms is constant => sequence is arithmetic.

4-2 = 2

6-4= 2

8-6 = 2

10-8 = 2

Step-by-step explanation:

It's an arithmetic sequences.

Formed by the n th term 2n.

As the difference is 2 between them.

let's find it, by formulae.

n th term = 2n

t1= 2×1=2t2 = 2×2=4t3=2×3=6t4=2×4=8

and so on.....

Therefore, it's an arithmetic sequence.

Hope it helps..

What percent is the same as 76/100

Answers

76%

Step-by-step explanation:

76/100=

0.76

0.76*100=

76

76%

Fill in the missing term in the equation

Fill in the missing term in the equation

Answers

Answer:

x

Step-by-step explanation:

Let's simplify the LHS so it can be equated to the RHS.

\(\frac{x}{x^{2} -4x+4} - \frac{x}{x^{2} -3x+2}\)

\(\frac{x}{(x-2)^{2} } - \frac{x}{(x-1)(x-2)}\)

\(\frac{x(x-1)-x(x-2)}{(x-2)^{2}(x-1)}\)

\(\frac{x^{2} -x-x^{2}+2x }{(x-2)^{2}(x-1)}\)

\(\frac{x}{(x-2)^{2}(x-1)}\)

Hence, the missing term in the numerator of the answer is x

Is 7/7 a proper fraction, an improper fraction, a mixed number, or decimal fraction?
None of these choices are correct.
O a decimal number
an improper fraction
O a mixed number
O a proper fraction

Answers

It is a proper fraction

Translate the following to an algebraic expression (all symbols) . . . “the product of 3 and w, minus 5”.

Answers

Answer:

3w - 5

Step-by-step explanation:

Break it down to small steps

product means multiply

3timesw = 3w

now the minus

3w -

and finally 5

3w - 5

12b + 9 = 12b + 11 what’s the answer

Answers

Answer: b∈∅

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

12b + 9 = 12b + 11

Subtract 12b from each side

12b-12b + 9 = 12b-12b + 11

9 = 11

This is never true, so there are no solutions

Evaluate the expression. Drag the answer into the box to match the expression. 2⋅(3^6⋅3^−5)

Answers

Answer:

6

Step-by-step explanation:

\(2( {3}^{6} \times {3}^{ - 5} ) \\ {3}^{6 - 5} = {3}^{1} = 3 \\ 2 \times 3 = 6\)

\(\boxed{\bold{Answer:{\green{\boxed{\bold{6}}}}}}\)

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The rear windshield wiper of a car rotated 120 degrees,as shown. Find the area cleared by the wiper. 25inch,120 degrees, 14inch

The rear windshield wiper of a car rotated 120 degrees,as shown. Find the area cleared by the wiper.

Answers

The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.

The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.

The wiper's arm is represented by a line segment and has a length of 14 inches.

The wiper's blade is perpendicular to the arm and has a length of 25 inches.

Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.

As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.

The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.

In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.

Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.

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" alt="A number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 0 to 2.5 and from 2.5 to 5."/>

Answers

The image you described features a number line that goes from 0 to 6.5 in increments of 0.5.

On this number line, there is an arrow that starts at 0 and extends to 2.5, and then continues from 2.5 to 5.

This image can be visualized as follows:

0        1        2        3        4        5        6        6.5

|--------|--------|--------|--------|--------|--------|--------|

        |------------------------|------------------------|

             0 to 2.5                 2.5 to 5

The vertical lines represent the increments of 0.5 on the number line, and the arrow indicates the segments from 0 to 2.5 and from 2.5 to 5.

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The product of a number and 7, increased
by three.

Answers

Answer:

7x+3

Step-by-step explanation:

Hi there!

Let "a number" equal x.

The product is the answer to a multiplication problem. If we're talking about the product of a number and 7, we're talking about multiplying them:

7x

Now, increasing by 3 just means we need to add 3:

7x+3

I hope this helps!

Help me please, I’m very confused on what to do

Help me please, Im very confused on what to do

Answers

Just add the powers while it is multiply

-1+(-3)

= -1 - 3

= -4

So it is \(2^{-4}\)

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