> Read and try to solve the problem below.

Mei is building a raised bed in her garden to grow lettuce.

She wants the base of the bed to be a square with an area of

2 square meters. Find an approximate side length of the base

of the bed. Plot the value on the number line.

2 lines that are parallel are (D) J and L.

So, plot all 4 lines on the graph (refer to the graph attached below).

Therefore, 2 lines that are parallel are (D) J and L.

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The net income of Adventure Travel using its  Adjusted Trial Balance for Year Ended December 31, 20XX, is $14,640

What is net income?

The net income is the excess of fees earned by Adventure Travel  in the year ended  over its total expenses, in essence, we need to determine its total expenses first and foremost, which comprises of salaries expense, rent expense, depreciation expense, advertising expense and office supplies expense

total expense=32,800+16,800++3960+4000+2800

total expenses=60,360

fees earned=75,000

net income =fees earned-total expenses

net income=75,000-60,360

net income=$14,640

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Answer: 10$

Step-by-step explanation: 15 divided by 3 is 5. 5 times 2 is 10. Therefore, the answer is 10 $

The perimeter of the walkway in terms of y will be y = 50 + 8x. The slope will be 8.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Given that the length and width of a rectangular garden are 15 meters and 10 meters, respectively. A walkway of width x surrounds the garden.

The perimeter will be calculated as:-

Perimeter = 2 ( W + L )

Perimeter = 2 [ ( 15 + 2x ) + ( 10 + 2x ) ]

Perimeter = 2 ( 10 + 2x + 15 + 2x )

Perimeter  = 2 ( 25 + 4x )

y = 50 + 8x

Compare the equation with the general form of the equation:-

y = 50 + 8x

y = mx + c

Slope = 8

Therefore, the perimeter of the walkway in terms of y will be y = 50 + 8x. The slope will be 8.

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Answer:

Carrier B

Step-by-step explanation:

The linear equation that represents Carrier B is y=55x+300. it's a linear equation so 55 represent the monthly fee and 300 represents the initial fee. So the initial fee of carrier B is 300. In case of Carrier A, the total cost increases by $150 as months increases by 3. So The initial fee of Carrier A is 500-150=$350 . Hence, Carrier B has lower initial fee.

Answer: 9 oranges

Step-by-step explanation:1.04/4=0.26

1 orange =0.26

2.34/0.26=9 oranges

Answer:

$2.86

Step-by-step explanation:

1.04 divided by 4 is 0.26 per orange. So 0.26 times 11 is 2.86

Please give brainliest

Using the z-distribution, the limits of the 95% confidence interval are given as follows:

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

For this problem, the parameters are given as follows:

[tex]n = 200, \pi = \frac{152}{200} = 0.76[/tex]

Then the bounds are given as follows:

Which are the lower and upper limits, respectively.

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The domain for this relation is {1,3} and the range for this relation is {2}.

According to the question, the given domain and range of the relation is as follows:

The domain for this relation is : {0, 1, 3}

The range for this relation is : {-2, 1, 2}

As per definition, the domain is the set of all possible values which a function take as an input.

Therefore, the domain for this relation is : {1, 3}

And the range for this relation is: {2}

Hence, the domain for this relation is {1,3} and the range for this relation is {2}.

What is domain and range of a function?

The domain is the set of all the possible values which a function can take as an input. And the range is also the set of paired values which represent the output of a function.

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The relation that is a function is relation (b)

The ordered pairs in the option represent the given parameters

For a relation (i.e. the ordered pairs) to be a function, the following must be true:

Each y value on the ordered pair must have exactly one x value

i.e. no x value must point to the different y value

Having said that the relation that is a function is relation (b)

Hence, the the relation that is a function is relation (b)2

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Answer:

Step-by-step explanation:  You could try to times 15 by each side or add them or turn it into an expression like E*15=0

The transforming the winner's age to a z-score is 1.03 and z-score is below the mean age of the winners.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers. Mean = (Sum of all the observations/Total number of observations).

Given:

Population mean,

μ=27.7 years

Population standard deviation,

σ=3.2 years

Winner's age =31 years

According to given question we have

If "x" represents the age of the winner then the z-score for "x":

z=x−μ/σ

a) Transforming the winner's age to a z-score

 z=31−27.7/3.2

   =1.03

(b) Interpretation of the z-score:

The winner's age of 31 years is 1.03 standard deviation below the mean age of the winners.

Therefore, the transforming the winner's age to a z-score is 1.03 and z-score is below the mean age of the winners.

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To find the

a) Transforming the winner's age to a z-score

(b) Interpretation of the z-score

is missing

Answer:

Step-by-step explanation:

It's just a countdown sequence

2 1 0 -1 -2 ....

The probability that X is more than 3 i.e. P(x > 3) is 0.945

The given parameters are

The probability that X is more than 3 can be calculated using the following equation

P(x <= 3) + P(x > 3) = 1

So, we have

P(x > 3) = 1 - P(x <= 3)

This gives

P(x > 3) = 1 - P(0) - P(1) - P(2) - P(3)

The individual probabilities are calculated using

P(x) = C(n,x) * p*x * (1 -p)^(n-x)

So, we have

P(0) = C(10,0) * 0.6^0 * (1 -0.6)^(10 - 0) = 0.0001

P(1) = C(10,1) * 0.6^1 * (1 -0.6)^(10 - 1) = 0.00157

P(2) = C(10,2) * 0.6^2 * (1 -0.6)^(10 - 2) = 0.01062

P(3) = C(10,3) * 0.6^3 * (1 -0.6)^(10 - 3) = 0.04247

So, we have

P(x > 3) = 1 - 0.0001 - 0.00157 - 0.01062 - 0.04247

Evaluate

P(x > 3) = 0.945

Hence, the probability that X is more than 3 is 0.945

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It will take 12 weeks for Praisys corn to be ready for picking.

We have been given that,

 Maya plants corns In = 4 rows

 Praisy plants corns in  = 6 rows

Maya corns ready to be picked in = 8 weeks

We have to find the number of weeks will it take Praisys corn to be ready for picking.

To find we will use the unitary method that is,

            4 rows = 8weeks

            6 rows = 8/4*6 weeks

                         = 12 weeks

Thus 12 weeks will it take Praisys corn to be ready for picking.

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The domain and the range of the graph in interval notation are (-∝, ∝) and [-3, ∝) respectively

The domain of the function is the set of input values of the graph while the range of a function is the set of output values of the graph.

The graph represents the given parameter

Based on the definition above, the range of a function is the set of y values of the graph while the domain is the set of x values of the graph

On the graph, we can see that:

The x values extend indefinitely on the graph;

This means that the domain is (-∝, ∝)

While y values start from -3 and increases up

This means that the range is [-3, ∝)

Hence, the domain and the range of the function in interval notation are (-∝, ∝) and [-3, ∝) respectively

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Answer:

A. You can write the number as a Ratio of two entegers

D. You know what the next number is

Answer: right

Step-by-step explanation:

The value of f(x) when x equals -5 is 15. Option D

A function can be defined as an expression, law or rule that explains the relationship between two variables;

Given the function;

f(x) = 5x + 40

To determine the value of the function when x = - 5, we have to substitute the value of x as -5 in the function.

With this, we have;

f(-5) = 5(-5) + 40

Now, expand the bracket

f(-5) = -25 + 40

Add the values, we have;

f(-5) = 15

We can see that the value of the function with the input of the variable x as -5 is 15

Thus, the value of f(x) when x equals -5 is 15. Option D

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The range could be written in inequality form will be:

-2500 ≤ x ≤ -100.

Living in the deep sea are slitsnails. It is assumed that they inhabit depths ranging from 100 to 2500 feet.

Let x represents the distance between the water and the surface.

The depth will decrease as we sink further into the water.

Therefore, the depth could range from 100 to 2500 feet.

The maximum depth is 2500 feet, and the lowest depth should be 100 feet.

So, the range could be expressed as follows in inequality form:

-2500 ≤ x ≤ -100.

Hence the required compound inequality is framed.

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Because the remainder is 0, then the binomial x + 3 is a factor of the polynomial (-3)^2 + 5(-3) + 6

A division problem is an expression or an equation that involves the quotients of numbers or polynomials

To create the division problem, we make use of the following expression

(x^2 + 5x + 6)/(x + 3)

Using the remainder theorem, we have

Dividend = x^2 + 5x + 6

Divisor = x + 3

Set the divisor to 0,

So, we have

x + 3 = 0

This gives

x = -3

Substitute x = -3 in the dividend to get the remainder

So, we have

Remainder = (-3)^2 + 5(-3) + 6

Evaluate

Remainder = 0

Because the remainder is 0, then the binomial x + 3 is a factor of the polynomial (-3)^2 + 5(-3) + 6

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Answer:

$94.10

Step-by-step explanation:

$76.10 + $18.00 = $94.10

Step-by-step explanation:

we have 2 points on the line :

(15, 64) and (26, 112)

the standard form I assume is the slope-intercept form :

y = ax + b

"a" being the slope, "b" being the y-intercept (the y value when x = 0).

the slope is the ratio (y coordinate difference / x coordinate difference) when going from one point on the line to another.

the direction does not matter, but when picking one for one coordinate difference calculation, we have to use the same direction for the other.

I prefer to go from left to right.

so, in our case here

x changes by +11 (from 15 to 26).

y changes by +48 (from 64 to 112).

the slope "a" is +48/+11 = 48/11

so, our equation looks already like this :

y = 48/11 x + b

now, we use any of our points to get b.

let's pick (15, 64) :

64 = 48/11 × 15 + b = 720/11 + b

704/11 = 720/11 + b

-16/11 = b

and our full equation is

y = 48/11 x - 16/11

or

y = 1/11 × (48x - 16/11)

or

y = 16/11 × (3x - 1)

The set (A∩C)' is {1, 3, 5, 6, 7}.

Simply said, a set in mathematics is a grouping of different items. Any group of objects, such as a collection of numbers, days of the week, different kinds of cars, etc., can be included in a set. An element of the set is any component of the set. When writing a set, curly brackets are utilized. An extremely basic set might look somewhat like this. Set A = {1,2,3,4,5}. The components of a set can be represented using a variety of notations. Typically, sets are represented by a set builder form or a roster form.

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The probability that Nacho will get all 4 questions wrong will be 0.3164.

From the information, Nacho takes a multiple choice test, the test has 4 questions and each question has 4 choices.

The probability of getting the correct option is 1 out of 4 which is 0.25 and the incorrect option is 0.75.

Therefore, the probability that Nacho will get all 4 questions wrong will be:

= (0.75)⁴

= 0.3164

Therefore, the probability that Nacho will get all 4 questions wrong will be 0.3164.

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Answer:

  (b)  8 cm

Step-by-step explanation:

You want to know the length of segment LN with midpoint M and the length of LM given as 4 cm.

The segment addition theorem tells you the length of a line segment is equal to the sum of the lengths of its parts.

  LN = LM +MN

The hash marks on segments LM and MN mean those segments have the same length. Then the sum is ...

  LN = (4 cm) +(4 cm) = 8 cm

The length of segment LN is 8 cm.

Answer:

For 12a - 37 > 0 answer is   a > 37/12

For 6a ≤ 42 answer is a ≤ 7

Step-by-step explanation:

The variable have positive integer exponent. so f(x) = -5x² + 3x +3 is a polynomial function.

A polynomial function is one that uses only non-negative integer powers or positive integer exponents of something like a variable in an equation such as the quadratic equation, cubic equation, and so on. For illustration, 2x+5 is a polynomial with an exponent of one.

A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, as well as division (No division operation by a variable).

f(x) = -5x² + 3x +3

Make the leading coefficient positive:

= 5x² - 3x -3

identify the coefficient:

a = 5, b = -3, c = -3

substituting into the:

[tex]$x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}$[/tex]

[tex]$x=\frac{-(-3)+\sqrt{(-3)^2-4 \times 5 \times(-3)}}{2 \times 5}$[/tex] or [tex]$x=\frac{-(-3)-\sqrt{(-3)^2-4 \times 5 \times(-3)}}{2 \times 5}$[/tex]

[tex]$x=\frac{3+\sqrt{3^2+4 \times 5 \times 3}}{2 \times 5}$[/tex] or

[tex]$x=\frac{3+\sqrt{9+4 \times 5 \times 3}}{2 \times 5}$[/tex]

[tex]$x=\frac{3+\sqrt{69}}{10}$[/tex]

x = ± [tex]\frac{3+\sqrt{69}}{10}$[/tex]

As we can see that the general form of a power function is f(x) = axⁿ , where a is a non zero co-efficient and 'n' is a real number.

so the given function is not a power function.

So,

the variable have positive integer exponent. so f(x) = -5x² + 3x +3 is a polynomial function.

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