Marco's monthly budget is $3550. What is the total amount of money Marco spends monthly on his house payment?​

Answer:

42

Step-by-step explanation:

x + x + 2 + x + 4 = 120

3x + 6 = 120

3x = 114

x = 114/3

x = 38

38, 40, 42

The three integers are 38, 40, and 42.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given that the sum of three consecutive even integers (3 integers in a row) is 120. The value of integers will be calculated as below:-

x + x + 2 + x + 4 = 120

3x + 6 = 120

3x = 114

x = 114/3

x = 38

1st integer = x = 38

2nd integer = x+2 = 38 + 2 =  40

3rd integer = x+4 = 38 + 4 = 42

Therefore, the three integers are 38, 40, and 42.

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Answer:

243

Step-by-step explanation:

3 to the power of 5

3 x 3 x 3 x 3 x 3

3 x 3 = 9 x 3 = 27 x 3 = 81 x 3 = 243

The side length of the cube is 4 feet. Then the surface area of the cube will be 96 square feet.

Suppose that: The side length of the considered cube is L units. Then, we get:

The volume of that cube = L³ cubic units.

The surface area of that cube = 6L² square units.

In February 2003, the Battlefords Chamber of Commerce in Saskatchewan placed a cage containing a 64-cubic foot ice cube along Yellowhead Highway. Then the side length of a cube will be

64 = L³

L = ∛64

L = 4 feet

Then the surface area of the cube will be

SA = 6 x 4²

SA = 6 x 16

SA = 96 square feet

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Answers are in bold

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

Explanation:

The x is a placeholder for a number.

When we say f(5), we mean f(x) when x = 5

So we'll replace every copy of x with 5 like so...

[tex]f(\text{x}) = -3\text{x}^2 - 2\\\\f(5) = -3(5)^2 - 2\\\\f(5) = -3(25) - 2\\\\f(5) = -75 - 2\\\\f(5) = -77\\\\[/tex]

Notice how I used the order of operations PEMDAS after x = 5 was plugged in.

A similar situation happens with g(-4). We'll plug x = -4 into g(x) to get the following:

[tex]g(\text{x}) = 2\text{x} +4\\\\g(-4) = 2(-4) +4\\\\g(-4) = -8 +4\\\\g(-4) = -4\\\\[/tex]

You can use a graphing calculator or graphing software (eg: Desmos or GeoGebra) to confirm these answers quickly.

Answer:

the answer is clear

Step-by-step explanation:

you have to get the answer by completing the answer

Answer: Standard deviation

Step-by-step explanation: The standard deviation is the average amount of variability in your dataset. It tells you, on average, how far each score lies from the mean. The larger the standard deviation, the more variable the data set is.

Answer:

x = 1/2

Step-by-step explanation:

4x -3 = 2x - 2  There are many ways to approach this problem.  I am going to start by subtracting 2x from both sides of the equation.

2x -3 = -2  I am going to add 3 to both sides of the equation

2x = 1  Divide both sides of the equation by 2

x = 1/2

The function g(x) is given as:  g(x) = 3 ( x + 4 )^2 + 5

Given data

f(x)=x2

shifted 4 units left

stretched by a factor of 3

shifted 5 units up

The function g(x) is formed from the function f(x) by the following moves:

Shifting 4 units to left

To shift the graph 4 units to the left is given by

f(x) = x^2

f(x) = ( x + 4 )^2

Stretching by a factor of 3

to stretch by a factor of  3 means multiplying by 3

f(x) = 3 * ( x + 4 )^2

f(x) = 3 ( x + 4 )^2

Shifting 5 units up

This movement is shows in the y axis and is represented as follows

f(x) = 3 ( x + 4 )^2 + 5

At this stage the function rule for g(x) is completed hence

f(x) = 3 ( x + 4 )^2 + 5 = g(x)

and

g(x) = 3 ( x + 4 )^2 + 5

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The height of the isosceles triangle is 8.08 cm.

Given the sides of the triangle are:

a = 9 cm (one side of the triangle)

b = 8 cm ( base of  the triangle)

Therefore, height of the triangle =?

An isosceles triangle's height is determined by measuring perpendicularly from one vertex to the other's triangle base. A triangle's height is one of its crucial parameters since it enables us to determine the triangle's area.

we know that h = √a²₋ b²/4

substitute a and b values in the above formula, to find height:

h = √9² ₋ 8²/4

h = √81 ₋ 64/4

h = √(81 × 4) ₋ 64 / 4

h = √324 ₋ 64/4

h = √260/4

h = √65

h= 8.06 cm

Therefore the height  of the isosceles triangle is 8.06 cm.

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Answer:

A set is well-defined so that we can always tell what is and what is not a member of the set

The section of the CPT coding manual is the code 40490 is listed in is "digestive system."

CPT is the language used by providers and payers when billing medical procedures and services for reimbursement.

Some key features regarding the CPT codes are-

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Answer is

A. False

B. True

C. False

According to the graph,

A (1, -2), B(b, - 2), C(1, -7), A'(-b , b), B'(-1 ,b), C'(-b , 1).

A. if ABC is reflected across x-axis. (x, y) reflected x-axis→ (x-y)

    so A'(1,2), B' (b-2), C'(1-7) , it's no equal to title .

    so A is false.

B. if ABC is translated 7 units to the left , up 8 units.

    (x, y)→(x-7,y+8),

    so  A'(-b , b), B'(-1 ,b), C'(-b , 1)

    it's equal to title. so B is true.

C.  if ABC is translated 8 units down, 7 units to right

    (x y)→(x+7, y-8),

   so A' (8,-10),B'(13,-10), C'(8,-15)

   it's not equal to title. so C is false.

A transformation is the movement of a figure. There are four types of transformations: reflection, rotation, translation, and dilation. Of these four types of transformations, a transformation can either be a congruent or similar shape to the original image. Congruent means that the shape or figure retains its size, shape, length, and angles of the original shape.

A rotation is a turn around a centre point. In a rotation, the distance from each point on the shape to the centre remains the same. A rotation is identified by a shape turning a specific amount degrees, usually 90, 180, or 270 degrees, around a point either clockwise or counter clockwise. This means with each rotation performed four things are given.

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The given data be 6.1, 6.8, 8.7, 9.0, 10.2, 10.3, 10.6, 10.8, 10.9, 11.0, 11.1, 11.5, 11.7, 12.2, 13.4 then the sample range is 7.3.

A well-liked and straightforward method for comparing the variability of various data distributions is the sample range. The formula for the sample range is the greatest value minus the smallest value. It is based on two values in a data set: the maximum and minimum.

The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or mode of some variable.

Arrange all values in your information set from low to high.

Subtract the lowest value from the highest value.

Let the given data be 6.1, 6.8, 8.7, 9.0, 10.2, 10.3, 10.6, 10.8, 10.9, 11.0, 11.1, 11.5, 11.7, 12.2, 13.4

13.4 - 6.1 = 7.3

Therefore, the sample range is 7.3

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Answer:

Ama is an elephant so she is 2 years old

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mistake in step 3 the (2x+1) and the (x-1) both cancel out but the other binomials (x + 3) and (x - 3) are different so don't cancel out.

Step 3 should be 3(x-3) / 4(x+3)

3 should not be an excluded value.

Answer:

- p / 2

Step-by-step explanation:

4 / -8 =   - 1/2

p^3 / p^2   = p

- 1/2  * p   =  - p / 2

Initial estimates of the probabilities of events are known as prior probabilities.

Prior probability, in Bayesian statistics, is the probability of an event before new data is collected. This is the best rational assessment of the probability of an outcome based on the current knowledge before an experiment is performed.

The prior probability of an event will be revised as new data or information becomes available, to produce a more accurate measure of a potential outcome. That revised probability becomes the posterior probability and is calculated using Bayes' theorem. In statistical terms, the posterior probability is the probability of event A occurring given that event B has occurred.

The prior probability is the probability assigned to an event before the arrival of some information that makes it necessary to revise the assigned probability. The revision of the prior is carried out using Bayes' rule. The new probability assigned to the event after the revision is called posterior probability.

Initial estimates of the probabilities of events are known as prior probabilities.

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The equivalent expression using the additive inverse property is -17- 25

The expression is given as:

-17- (25)

The additive inverse property states that:

-x + x = 0

This also states that

-(x) = -x

Using the above as a guide, we have the following equation

-17- (25) = -17- 25

Hence, the equivalent expression using the additive inverse property is -17- 25

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Answer:

Step-by-step explanation:

You want a table of values of the function sin(3x)/x as x nears zero, and an estimate of the limit of the function value as x → 0.

The function f(x) = sin(3x)/x is an even function. That is ...

  f(-x) = sin(-3x)/(-x) = -sin(3x)/-x = sin(3x)/x = f(x)

When f(-x) = f(x), the function is even. It is a reflection of itself across the y-axis. This means all of the function values for negative x-values are the same as for the corresponding positive x-values. We only need to fill in half the table to know what the other half looks like.

See the attachment for values calculated by a spreadsheet and rounded to 8 decimal places.

The table shows the difference from 3 gets smaller as x gets closer to 0. If we add more rows to the spreadsheet table (2nd attachment), we see that the value gets even closer to 3 as x nears zero. At x = 10^-7, we run up against the accuracy limits of the spreadsheet.

The limit of the expression is 3 as x approaches 0.

It is realistic that 3 owners spend $720 a year on their graph

Given that

To find

So, according to the question

We can say that,

3 owners are present and,

A pet's annual cost is $720.

So, the option C (Yes, it is realistic that 3 owners spend $720 a year on their pet(s) ) is correct explanation of it.

Because no fractional value can represent the number of owners. Therefore, having 7.2 owners is not feasible and other options showing only one value. So A, B, and D are wrong answer.

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The standard deviation is 2.83 if the sum of squares for a sample containing 51 items equals 400 option (D) is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{n-1}[/tex]

SD is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

∑(x(i) - X)² = 400

n = 51

SD = √(400/51-1)

SD = √8

SD = 2.828 ≈ 2.83

Thus, the standard deviation is 2.83 if the sum of squares for a sample containing 51 items equals 400 option (D) is correct.

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It is true that the sample mean and the sample standard deviation remain unaffected.

Mean is the average of the given data.

According to the given question when each entry is multiplied by a constant k each term will k times of the previous term.

Suppose we have 3 terms x, y, z.We know that their mean will the middle term as there are odd number of terms which is y.

Now if we multiply each term by a constant k the terms will be kx, ky, kz and the middle term is ky.

As each term is multiplied by k we have divide by k which is

= ky/k

= y.

So from both the results we can observe that the mean and the standard deviation remains same.

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Answer:

B

Step-by-step explanation:

5x + 4y >= 2

4y >= -5x + 2

y >= -5/4x + 1/2

Since the equation is >=, everything on or above the line y = -5/4x + 1/2 should be shaded.

Answer:I would say c

Step-by-step explanation: because it is the only one that makes sense

Option B (22,16,18,36)

Mean- Mean is an average of the data collected in the data set. It can be found by dividing the sum of the values by the number of values. Median is the middle value of the data set when the values are placed in order from least to greatest.

It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

Add all the numbers (22+16+18+36) = 92

Avarage = sum of the all given numbers/ total numbers

total numbers =4

so avarage= mean= 92/4 =23

(22,16,18,36) has the most spread because one number as low as 16 and one as high as 36. Our mean is 23, so that means that the spread is huge.

Hence the answer is (22,16,18,36).

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The test statistic value calculated by the statistical procedure selected is known as the T-test.

The mean difference between two sets of observations is zero using the T-test, also known as the dependent sample t-test. When the population standard deviation is unknown, the student's t-test is a statistical tool for assessing assumptions about the mean of a small sample taken from a normally distributed population.

Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

Therefore, the test statistic value calculated by the statistical procedure selected is known as the T-test.

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The value of x = 1 when the value of the function h(x) = 4.

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

Given that,

h(x)= 3x+1

The value of h(x) = 4:

4 = 3x + 1

4 - 1 = 3x

3x = 3

x = 1

Hence, the value of x = 1 when the value of the function h(x) = 4.

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Answer:

x= 5

Step-by-step explanation:

2x+ 15=25

-15 -15

2x= 10

/2 /2

x=5

Answer:

x = 5

Step-by-step explanation:

2x + 15 = 25

2x + 15 - 15 = 25 - 15            (subtract 15 from both sides)

2x = 10

2x/2 = 10/2                           (divide by 2 on both sides)

x = 5

The angle that the vector  [tex]\overrightarrow{\mathrm{A}}=2 \hat{i}+3 \hat{\mathrm{j}}[/tex]  makes with the y-axis is (B) tan⁻¹ 2/3.

To find the angle of the given vector:

Given: [tex]\overrightarrow{\mathrm{A}}=2 \hat{i}+3 \hat{\mathrm{j}}[/tex]

So,

[tex]\begin{aligned}&\overrightarrow{\mathrm{A}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}} \\&\overrightarrow{\mathrm{A}} \cdot \hat{\mathrm{j}}=\sqrt{13} \cos \theta \\&3=\sqrt{13} \cos \theta \\&\theta=\cos ^{-1}\left(\frac{3}{\sqrt{13}}\right)\end{aligned}[/tex]

Using the formula [tex]\tan \left(\cos ^{-1} x\right)=\frac{\sqrt{1-x^2}}{x}[/tex], we obtain:

[tex]\begin{aligned}&\theta=\tan ^{-1} \frac{\sqrt{1-\frac{9}{13}}}{\frac{3}{\sqrt{13}}} \\&\theta=\tan ^{-1}\left(\frac{2}{3}\right)\end{aligned}[/tex]

Therefore, the angle that the vector  [tex]\overrightarrow{\mathrm{A}}=22_1^{\mathrm{A}}+3 \hat{\mathrm{j}}[/tex]  makes with the y-axis is (B) tan⁻¹ 2/3.

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The correct question is given below:

The angle that the vector  [tex]\overrightarrow{\mathrm{A}}=2 \hat{i}+3 \hat{\mathrm{j}}[/tex]  makes with the y-axis is:

(A) tan⁻¹ 3/2

(B) tan⁻¹ 2/3

(C) sin⁻¹ 2/3

(D) cos⁻¹ 3/2