Show work please!

29) Write two expressions that are equivalent to model below.

30)Write two expressions that are equivalent to the model below.

31) Write an expression to represent the model below.

32) One cotton candy at the rodeo cost $5.25. When 4 friends purchases cotton candy, the expression 5.25(4) can be used to determine the total cost. What other expression can be used to determine the total cost?

Answer:

0.045, 0.405, 0.45, 4.05, 4.5

Step-by-step explanation:

So, we have 0.045 before 0.405 because the second number (0) in the first one is lower than the second number (4) in the second one. We have 0.405 before 0.45 because the third numbers don't match up. The lower one is 0, while the higher one is 5. Next, 4.05 is smaller than 4.5 because of the second number. The second number in the smaller one is 0, while the bigger one, its second number is 4.5.

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Answer:

80 degrees

Explanation:

The sum of the measures of angles in a triangle is 18 degrees.

Given that the angle measures in a triangle are (3x+4), (5x), and (7x-4), then:

First, we solve the equation for x.

Therefore, the measures of the angles are:

The measure of the largest angle in the triangle is 80 degrees.

Answer: Width = 3.4 meters, Length = 6.4 meters

Step-by-step explanation:

If the width is [tex]w[/tex], then the length is [tex]w+3[/tex].

[tex]w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4[/tex]

Answer:

5,588 m

Explanation:

In the diagram:

The distance between the two boats is UW and:

In right triangle UXV:

Similarly, in the right triangle WXV:

Therefore:

The boats are 5,588 meters apart (correct to the nearest meter).

Distance travelled by remote controlled car is 32 feet in 8 sec

Speed is the rate and direction of an object's movement, whereas speed is the scalar at which an object moves along a path in time. Velocity is a vector, whereas speed is a scalar integer.

speed  = 4 feet/sec

distance = d feet

time = t sec

4 = d / t

t =  8 sec

d = 4 *8

d = 32 feet

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SOLUTION

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

STEP 1: Write the given functions

STEP 2: Describe the transformations

Translation to the left/right: Horizontal translation refers to the movement toward the left or right of the graph of a function by the given units. The shape of the function remains the same. It is also known as the movement/shifting of the graph along the x-axis.

To shift, move, or translate horizontally, replace y = f(x) with y = f(x + c) (left by c) or y = f(x - c) (right by c).

Translations up/down: The graph of a function can be moved up, down, left, or right by adding to or subtracting from the output or the input. Adding to the output of a function moves the graph up. Subtracting from the output of a function moves the graph down.

To translate the function up and down, you simply add or subtract numbers from the whole function. If you add a positive number (or subtract a negative number), you translate the function up. If you subtract a positive number (or add a negative number), you translate the function down.

STEP 3: Define the first transformation

STEP 4: Define the vertical transformation

STEP 5: Define the final transformation

Hence, the transformations of f(x) to g(x) are:

Translated 2 units left

Translated 3 units down

Reflected over the x-axis (yes)

STEP - BY - STEP SOLUTION

What to find?

The similarity ratio of WXYZ to EFGD.

Given:

The ratio of WXYZ to EFGD can be determine by taking the ratio of any of the simila side of WXYZ to EFGD.

That is;

Since EFGD is a rectangle, using the property of the rectangle that state " opposite sides are congruent, we can deduce that ED = EG = 6

Hence,

ANSWER

1/2

Let's consider triangle ABC

Length AB can be obtained using Pythagoras

Similarly, we can consider triangle ACD, so that length AD will be obtained through Pythagoras

Considering triangle ABD, with BD being the hypotenuse

Expanding the parentheses

Divide both sides by 2

Option A is correct

Answer:

Let's consider triangle ABCLength AB can be obtained using PythagorasSimilarly, we can consider triangle ACD, so that length AD will be obtained through PythagorasConsidering triangle ABD, with BD being the hypotenuseExpanding the parentheses Divide both sides by 2Option A is correct

Step-by-step explanation:

The average rate of change is 2,73,000.

The average rate of change is calculated using the formula -

Average rate of change = change in population ÷ change in time

Keep the values in formula to find the rate of change of population over given time period

Average rate of change = (308.7 - 281.4) million ÷ (2010 - 2000)

Performing subtraction in numerator and denominator on Right Hand Side of the equation

Average rate of change = 2730000 ÷ 10

Performing division on Right Hand Side of the equation

Average rate of change = 2,73,000

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The function is  f(x) = x² +3,then f (x + h)  = [tex]x^2+2xh +h^2+3[/tex].

Given,

In the question:

The function is given as:

f(x) = x² +3

To find the f (x + h) = ?

Now, According to the question:

Substitute x = x + h into f(x) = x² +3

f(x + h) =  (x+ h)² +3

Expand the expression using:

[tex](a +b)^2 = a^2 +2ab+b^2[/tex]

f(x + h) = [tex]x^2+2xh +h^2+3[/tex]

Hence, The function is  f(x) = x² +3,then f (x + h)  = [tex]x^2+2xh +h^2+3[/tex].

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The total number of student tickets which are sold is 63 and the total number of adult tickets which are sold is 40.

Let the students' tickets sold by Jayden be x. Then, the number of adult tickets which are sold be 103-x.

Now, one student ticket costs $9.

Total cost of student tickets which are being sold = $9x

Similarly, one adult ticket costs $14.

Total cost of adult tickets which are being sold = $14×(103-x)

Total sales done by Jayden = $1127

∵  $9x +  $14×(103-x) =  $1127

⇒ 9x + 14×(103-x) = 1127

⇒ 9x + 1442 - 14x = 1127

⇒ 14x - 9x = 1442 - 1127

⇒ 5x = 315

∴ x = 63

⇒ 103 - x = 103 - 63 = 40

Hence, the total number of student tickets which are sold is 63 and the total number of adult tickets which are sold is 40.

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The value of x equals the number of cubic units in a box that is 4 units high, 4 units deep, and 4 units wide.

Recall that the volume of a cube is given by

Where l is the length, w is the width, and h is the height of the cube.

We are given that all three sides are 4 units.

So, the volume is

x must be equal to this volume

Take cube root on both sides of the equation

Therefore, the correct equation is the last option.

Answer: B

Step-by-step explanation:

The answer is C, the square root of 65 (8.062).

Approximately 95% of the data fall within 2 standard deviations of the mean. That is, 2 standard deviations below and 2 standard deviations above the mean as in the following picture:

The domain and the range of the function are {−5, −2, 1 ,5} and {−26, −14, −2} respectively

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

Function: f(x) = 4x - 6

Table of values

x −5 −2 1 5

y −26 −14 −2 −14

The set of x values is the domain

So, we have

Domain = {−5 −2 1 5}

Rewrite as

Domain = {−5, −2, 1 ,5}

The set of y values is the range

So, we have

Range = {−26 −14 −2 −14}

Rewrite as

Range = {−26, −14, −2}

Hence, the range is {−26, −14, −2}

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Answer:

Below

Step-by-step explanation:

With roots   -4   and 6  

the equation is   a * (x+4)(x-6) = 0  

     'a' can be any real number (I'll choose '1')

Expand to  x^2 -2x - 24 = f(x)

Consider the experiment of picking one digit first from the initial set (digits from 1 t) 6, and then pgrabbing a second digit without eplace,ment.

As for the first part of the experiment, there are 6 digits to choose from; however, during the second round, there are only 5 digits available. Therefore, according to the counting principle, the sample space has

30 elements. he answer is 30 elements in the sampele space.

Problem

You have $6,000 to invest in a savings account for 15 years and you have hvo account options to choose from. You can invest in an account that offers 8% simple interest or you can invest in an account that offers 6% interest compounded once a year. Complete the table and write an equation for each situation Simple interest & Compound Interest. Will you choose simple or compound interest? Why?​

Solution

Case 1: Simple interest

We can use the formula:

y= 6000 + 6000(0.08 x)= 6000+ 480x

And replacing we got:

X Y

__________

0 6000

1 6480

2 6960

5 8400

10 10800

15 13200

__________

Case 2: Compound interest

We can use the following formula:

Y= 6000 (1+0.08)^x =6000 (1.08)^x

And replacing we got:

X Y

__________

0 6000

1 6480

2 6998.4

5 8815.97

10 12953.55

15 19033.01

__________

We are given an experiment, and we are asked about the probability that either event happens. Therefore, we use the addition rule of probability, which states that if A and B are two events in a probability experiment the probability that either one of the events to happen is:

Therefore, in our specific case, we have that the probability of A is 1/2, since we have 2 odd numbers out of possible 4 outcomes. The probability of B is 1/4, since we have a number 4 out of 4 possible outcomes. The probability of A and B is 0, because obtaining a 4 and an odd number are two mutually exclusive events. Therefore we have that our probability simply is the sum of our two probabilities:

Therefore, our answer is 3/4

Step 1

Given; The equations in the elimination method are written in the standard form as ____

Step 2

Simultaneous linear equations can be solved using the elimination method. First of all, make sure that the equations are written in the standard form either Ax+By=C or Ax+By+C=0. In this method, we multiply both the equations with a non-zero number to make the coefficients of any one variable equal.

Thus the answer is; The equations are written in standard form as seen below

Answer:

The degree of the polynomial is the greatest of its various terms' exponents (powers). This is a seconds degree polynomial.

Step-by-step explanation:

2x^2 - 3x^5 + 5x^6.

We observe that the above polynomial has three terms. Here the first term is 2x^2, the second term is -3x^5 and the third term is 5x^6.

Now we will determine the exponent of each term.

(i) the exponent of the first term 2x^2 = 2

(ii) the exponent of the second term 3x^5 = 5

(iii) the exponent of the third term 5x^6 = 6

Since the greatest exponent is 6, the degree of 2x^2 - 3x^5 + 5x^6 is also 6.

Therefore, the degree of the polynomial 2x^2 - 3x^5 + 5x^6 = 6.

Easy peasy, hope you understand now.

The equation for lines will be y = -5/16 x + 29/16

What is equation straight line?

Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

The equation of the right line is [tex]\frac{(y+1)}{(x-9)} =m \frac{(4+1)}{(-7-9)}[/tex]

[tex]\frac{(y+1)}{(x-9)} = \frac{(4+1)}{(-7-9)}[/tex]

[tex]\frac{(y+1)}{(x-9)} = -5/16[/tex]

16y+16 =-5x +45

16y = -5x +29

y = -5/16 x + 29/16

Hence the equation for lines will be y = -5/16 x + 29/16

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The midpoint coordinates are: (8,-2)

We can label this coordinates as follows

The coordinates for one of the endpoints are: (3,10)

We label this coordinates as follows:

We are looking for the other endpoints with the coordinates (x2,y2).

We use the formulas to find the midpoint:

But, since we need x2 and y2, we solve for then in the equations:

And we substitute our values into the equations:

For x2:

For y2:

Answer: (13,-14)

Answer:

7 would be the closest meter when rounded 7 times 3 is 21 so its one-off but the closest you can get so the answer is 7 meters

Step-by-step explanation:

I divided 22 by three because the way to solve for the area is length times width so it'd be area divided by width for length

For 2, we have the following triangle:

Using sine and cosine we have the following:

Therefore, the remaining sides are y= 10 and x = 10

Recall that the order of the operations PEMDAS

1. Parenthesis

2. Exponents.

3. Multiplication.

4. Division.

5. Addition.

6. Subtraction.

1. Given expression is

Multiply 3 and 5, we get

Divide 6 by 2, we get

Subtract 3 from 8, we get

Add 5 and 15, we get

The answer is

2.Given expression is

Multiply 7 and 3, we get

Divide 15 by 5, we get

Subtract 3 from 21, we get

The answer is

3. Given expression is

First, we need to solve inside the parenthesis, divide 12 by 2, we get

Add 1 and 6, we get

Solve exponent.

Multiply 2 and 49, we get

Add 8 and 98, we get

The answer is

We can model this problem by an exponential growth:

where A is the amount accumulated, P is the principal, r is the interest rate, n is the number of times per year and t is the time. By substituting our given data, we get

therefore, the model is

Now, by substituting t=10 years, we have

then, the amount will be