solve the equations and verify the answer​

Answer:

136 m

Step-by-step explanation:

Let w = the width of the rectangular field.

Let l = the length of the rectangular field.

The formula for the perimeter P of the rectangular field is:

P = 2w + 2l

Since the length l is 7 m less than 4 times the width w, then we can write the following equation that relates l and w:

l = 4w - 7 m

Since l = 4w - 7 and it's given that perimeter P = 136 m, then we can substitute this information into the perimeter formula as follows:

P = 2w + 2l

136 m = 2w + 2(4w - 7 m)

136 m = 2w + 2(4w) - 2(7 m)

136 m = 2w + 8w - 14 m

136 m + 14m = 10w - 14 m + 14 m

150 m = 10w + 0

10w = 150 m

(10w)/10 = 150 m/10

(10/10)w = 150 m/10

(1)w = 15 m

w = 15 m

Therefore, l = 4w - 7 m

l = 4(15 m) - 7 m

l = 60 m - 7m

l = 53 m

CHECK:

P = 2w + 2l

136 m = 2(15 m) + 2(53 m)

136 m = 30 m + 106 m

136 m = 136 m

B the purchase cost of the aquarium

Explanation

we have the equation

this is a linear equation in the form

hence

so, if we have the sentence

the cost in dollars, y, of purchasing and maintaining a classroom aquarium for x months

let

cost in dollars = y

as x is the variable, let x for the variable in the text, in this case, what changes is the number of months,so

number of months= x

the factor of x ( 48), is the value for the mainting the classroom ( as we can see it depends on the number of months , x)

so

the monthly cost of the aquarium=48

finally , we have 250, this values is a constant, it does not depend on the number of months, so it is

the purchase cost of the aquarium=250

so,the answer is

B the purchase cost of the aquarium

I hope this helps you

In the given right triangle of the figure

we have that

sin(O)=1/d ----> by the opposite side divided by the hypotenuse in a right triangle

solve for d

d=1/sin(O)

d=4,124,966.13 AU -----> two decimal places

the expression to calculate d for any star is equal to

The three transformations—rotations, reflections, and translations—can be combined to produce congruent shapes. The truth is that any pair of congruent shapes can be matched to one another by combining one or more of these three transformations.

A point, line, or geometric figure has four different transformations that can be applied to alter its appearance. While the term "Image" refers to the position and final shape of the object, "Pre-Image" refers to the object's shape before transformation.

Given Information

The size and shape of the figures are preserved during stiff transformations, as we already know (reflections, translations, and rotations). Always in harmony with one another is the pre-image.

These transformational skills are all possessed by Matt:

Reflection

The reason a reflection maintains its original form Similar spots from the pre-image to the image remain apart from the line of reflection.

The transformation of rotations into congruence

Any rotating figure will twist. Although it is the same size and shape as before, the figure appears to have toppled over. A clock is a perfect example of how rotation works in real life. A clock's connecting arms turn around its axis every hour or every day. A rotation's degree determines what kind of rotation it is; typical rotations include 90, 180, and 270 degrees. Before turning around and going back to where it started, the figure does a full 360-degree turn. the direction of a rotation, whether it be clockwise or counterclockwise. The degree, amount, and other factors can be determined using this information .a revolution's speed, direction, etc.

Transformative translational congruence

When an object or shape is moved without altering its size, shape, or orientation, the movement is referred to as a translation. When doing a translation, also known as a slide, every point on an object or shape is moved uniformly and in one direction.

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y = 6x + 35

y = 9x + 14

Combining these equations, we get:

6x + 35 = 9x + 14

35 - 14 = 9x - 6x

21 = 3x

21/3 = x

x = 7

Substituting this result in the first equation:

y = 6*7 + 35

y = 42 + 35

y = 77

The average rate of change of the function from x = 4 to x = 7 is: -1/3.

The formula used to estimate the average rate of change of a function is given as:

f(b) - f(a) / b - a.

Given the function as shown in the diagram below, we are required to find the average rate of change of the function within the interval, x = 4 to x = 7, therefore:

a = 4

b = 7

f(a) = f(4) = 4

f(b) = f(7) = 3

To find the average rate of change of the given function for the interval of x = 4 to 7, substitute the above stated values into the formula for the average rate of change, f(b) - f(a) / b - a:

Average rate of change = 3 - 4 / 7 - 4

Average rate of change = -1/3

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Given:

To find:

The root of 18 without using a calculator

There is a formula that gives an approximation of a square root without a calculator. This is given as:

Given:

the bearing of L from Q is 90°

Required:

what is the bearing of Q for L ​

Explanation:

There is a 180 degree difference in bearing between two location(L from Q, Q from L)

If L from Q is 90 degree then

Q from L is

180-90=90degree

Required answer:

90 degree

Q.12 The polynomials are 2 and 3

What is polynomial ?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7.

Given, p(x) = -x² + x + 2

p has a degree 2

Let, a = 1 + i√2

      b = 1 - i√2

a + b = 1 + i√2 + 1 - i√2

        = 2

a * b = (1 + i√2) * (1 - i√2 )

        = 1 - (i√2)²

        = 1 - i²*2    (where, i² = -1)

        = 1 + 2

        = 3

Therefore, the polynomial are 2 and 3

Q.13 The polynomial is x³ + x

Given, Q(x) = x³ - 2x² - 1

Q has a degree of 3

=>(x - 0) (x - i) (x + i)

=>(x² - ix) (x + i)

=>x³ + x²i - ix² - i²x    (where i² = -1)

=>x³ + x

Therefore, the polynomial is x³ + x

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Given the radius of a circle as r = 2 and centre = (3,1)

We want to find the equation

Solution

First, the equation of a circle centre (a,b) and radius r is given by

From the question

We put the parameters into the equation ans simplify

Therefore the correct option is Option B

Answer:

  0, 0, 0

Step-by-step explanation:

You want the sum of a number and its opposite for the numbers ...

  3, 7.5, and -2 2/3

The definition of the additive inverse (opposite) of a number is that it is the number that produces 0 when summed with the original number.

Any number summed with its opposite will give zero.

The sums are ...

Answer:

[tex]5\%\text{ or }0.05[/tex]

Step-by-step explanation:

Simple interest rate means if I have "P" amount that I initially deposited, then every year this amount increases by "x% of P" or the original amount I deposited. So it's increasing by the same amount each year, unlike compound interest.

The formula for calculating the amount of interest is: [tex]I=P*r*t[/tex]

Where, r is the interest rate, t is the time unit, and P is the initial amount.

In most cases the t will be expressed in years, and one thing to note is the r is the interest rate in decimal form, so [tex]30\%=0.30[/tex], we want to convert it to decimal form by dividing by 100

We know the amount of interest, as it's given to us as 9,000, and the principle amount or initial amount, given to us as 60,000, and also the time which is given to us as 3 years.

So we know that:

[tex]I=9,000\\P=60,000\\t=3\\[/tex]

Plugging all these values into the equation we get:

[tex]9,000=60,000*3*r\\\\9,000=180,000*r\\\\\frac{9,000}{180,000}=r\\\\0.05=r[/tex]

as noted above, this interest rate, "r" is expressed in decimal form. Since we have to divide by 100 to convert from percentage to decimal, we have to multiply by 100 to convert from decimal to percentage.

this gives us: [tex]r=5\%[/tex]

We have a square with sides (s-4).

The perimeter of a square is 4 times the length of the side, so we can write:

If P is no more than 80 ft, we can find the maximum value for s as:

Answer:

1) The perimeter is P = 4s-16

2) The maximum value for s, if the perimeter is no more than 80 ft, is 24 ft.

x² + 3 / (x-1)(x-3) is simplest form of the given expression

Given: x-3/x-1 + 6/x-3

First, find the LCM of x-1 and x-3. The LCM is c

(x-3)(x-3) + 6(x-1) / (x-1)(x-3)            

Remove the bracket of the numerator

x² - 6x + 9 + 6x - 6 / (x-1)(x-3)        

Add and subtract like terms

x² + 3 / (x-1)(x-3)

Therefore, the expression has the simplest form of x² + 3 / (x-1)(x-3). This shows the concept of expression.

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→

r

=

13.5

mi

, at a bearing angle of

50.4

o

Explanation:

We're asked to find the total displacement, both the magnitude and direction, of the ship after it leaves the port with the given conditions.

First, I'll explain what a bearing is.

A bearing is NOT a regular angle measure; normally, angles are measured anticlockwise from the positive

x

-axis, but bearing angles are measured clockwise from the positive

y

-axis.

Therefore, a bearing of

34.0

o

indicates that this is an angle

90.0

o

−

34.0

o

=

56.0

o

measured normally. We'll use this angle in our calculations.

We're given that the first displacement is

10.4

mi

at an angle of

56.0

o

(as calculated earlier). Let's split this up into its components:

x

1

=

10.4

cos

56.0

o

=

5.82

m

y

1

=

10.4

sin

56.0

o

=

8.62

m

Our second displacement is a simple

4.6

mi

due east, that is, the positive

x

-direction. The components are thus

x

2

=

4.6

mi

y

2

=

0

mi

To find the total displacement from the port, we'll add these two vectors' components and use the distance formula:

Δ

x

=

x

1

+

x

2

=

5.82

mi

+

4.6

mi

=

10.42

mi

Δ

y

=

y

1

+

y

2

=

8.62

mi

+

0

mi

=

8.62

mi

r

=

√

(

x

total

)

2

+

(

y

total

)

2

=

√

(

10.42

mi

)

2

+

(

8.62

mi

)

2

=

13.5

mi

The direction of the displacement vector is given by

tan

θ

=

Δ

y

Δ

x

so the angle is then

θ

=

arctan

(

Δ

y

Δ

x

)

=

arctan

(

8.62

mi

10.42

mi

)

=

39.6

o

The question asked for the bearing angle, which is just this angle subtracted from

90

o

:

Bearing angle

=

90

o

−

39.6

o

=

50.4

o

We know that AC and BD bisect each other, but AC is not equal to BD.

Basically, the problem is saying that these segments are bisectors of each other, that can be represented as the image below shows

As you can see in the image, AC and BD bisect each other, but their lengths are not equal.

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given values

STEP 2: Get the inequality

Hence, the answer is:

Explanation:

The volume formula is:

We know that the radius is r = 5 and the volume is V = 50pi. We have to replace these values into the formula above and solve for h:

Answer:

h = 2

A: (-3,-5)

B: (-1,8)

To find the midpoint we have to add each coordinate and divide by 2:

Midpoint: (-3-1)/2 , (-5+8)/2 = -4/2, 3/2 = -2,1.5

Midpoint: (-2, 1.5)

Answer:

0.1 also 0.0636942675

Given that the height of a tree increases as time passes.

Your friend says that is dependent because size deemds on time.

Leet's determine if your friend is correct.

Here, since the height of a tree increases as time passes, the height of the tree depends on the time.

Hence, size is the dependent variable while time is the independent variable.

Therefore, your friend is NOT correct.

ANSWER:

No, your friend is NOT correct.

Using function concepts, it is found that:

a) The meaning of each expression is given as follows:

b) The expression is: A(4) = 1.3.

c) The expression is: A(2) = A(2.5).

In the context of this problem, the format of the function is:

A(t).

In which the meaning of each variable is given as follows:

Which gives the meaning of each expression in item a.

For item b, the expression is given as follows:

A(4) = 1.3.

As 4 hours after the episode premiered, the audience was of 1.3 million people.

For item c, the expression is given as follows:

A(2) = A(2.5).

As the audience after 2 hours = 120 minutes is the same as the audience half an hour = 30 minutes later.

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The profit for te corporation is 235,00 million.

The revenue for the corporation is 6700e million.

To determine th fractio in lowest terms for thr e profit and revenue is

Answer: 85

To solve this, we need to calculate the height of the triangle. To do this, we divide the triangle verticaly, in two right triangles.

So, we have the hypotenuse of the two smaller triangles is 14. The short leg is half the side of the big triangle: 14/2=7 and the long leg is the height of the triangle and what we want to know.

By the pythagorean theorem:

And now we use the formula for the area of a triangle:

This is the area of each of the smaller triangles. To get the area of the big triangle, we add up the two smaller areas:

rounded to the nearest tenth is 85

Given -

Equations:

y = -x² - 4x -3 and y = 2x + 5

To Find -

Next step =?

Step-by-Step Explanation -

We know first step:

-x² - 4x - 3= 2x + 5

-x² - 4x - 3 - 2x - 5 = 0

-x² - 6x - 8 = 0

-(x² + 6x + 8) = 0

x² + 6x + 8 = 0

x² + 2x + 4x + 8 = 0

x(x+2) +4(x +2) = 0

(x+4)(x+2) = 0

So,

x = -4 or x = -2

So,

The next step is to combine like terms onto one side of the equation.

Final Answer -

Option (d)

Combine like terms onto one side of the equation

Answer:

55.17

Step-by-step explanation:

[tex]P(0)=0.023(0)^3-0.289(0)^2+3.068(0)+55.170=55.17[/tex]

Answer:

Step-by-step explanation:

Comment

Well my response is, I know how it is done and most of the time I get it right, but mistakes make me give myself about a 3.4.

I hope this answers your question. It will likely be taken down.

The history of integers begins with the natural numbers (1,2,3,...), which are also called the counting numbers. They arise naturally by the need of counting things. But there is a problem. "There is a missing number". If you have a number n of things and you subtract all of them, what remains? Intuitively, it must be a number, a number representing nothing (to have nothing). This is the origin of zero.

Now, as time passes, the man began to do trades and arose the money. This leads to a problem. Other numbers are missing now. How do you express how much money you owe someone? counting numbers are not useful here, for they mean "the money you have". Th

Data:

Estimate: E= 475 songs

Actual amount: A=380

To find the percent of error you use the next formula: