Please solve both questions!

Answer:

is it twelve ?

Step-by-step explanation:

:-|

We would expect John to weigh approximately 199.8 pounds at the end of week 8 if he continues to burn 6100 calories per week and maintains a proper diet.

Finding the best linear relationship between the independent and dependent variables is the aim of linear regression. To put it another way, it seeks out the line (or plane, or hyperplane in higher dimensions) that best fits the data. The dependent variable's future values for new values of the independent variable can then be predicted using this line.

We may build a linear regression model using the provided data, with activity (in calories) serving as the independent variable and weight (in pounds) serving as the dependent variable. Using this model, we can then forecast John's weight at the conclusion of week eight depending on the number of calories he burned in that week.

Using a spreadsheet or statistical software, we can calculate the regression equation:

Weight = -0.0049 x Exercise + 229.85

We can plug in the exercise value for week 8 (6100 calories) and solve for weight:

Weight = -0.0049 x 6100 + 229.85

Weight ≈ 199.8 pounds

Therefore, we would expect John to weigh approximately 199.8 pounds at the end of week 8 if he continues to burn 6100 calories per week and maintains a proper diet.

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Answer:

3.25%

Step-by-step explanation:

4000XxX9 =585

100X2

The annual rate of interest if the interest amount of $585 will be 3.25%.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

The interest is given as

I = (P × R × T) / 100

Where, P is the initial amount, R is simple interest rate, and T is the time.

Jack borrowed $4000.00 and paid $585.00 in simple interest from after 4 years six months.

4 years six months = 4.5 years

Then the interest rate will be

585 = (4000 × R × 4.5) / 100

   R = 585 /(40 x 4.5)

   R = 3.25%

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Answer:

It is a vertical line at x = 0

Step-by-step explanation:

An equation of a line in a slope-intercept form is y=mx+b

So with the coordinates given, we must find the slope (m), and the y-intercept (b).

In order to find the slope using these coordinates,

we have to use the formula (y2-y1)/(x2-x2).

So the slope would be -3 - 4 / 0.

Because the denominator is 0, the slope would be undefined.

It is easier to see the equation/graph by graphing the coordinates on the coordinate plane. You will see that it is a straight vertical line down x=0.

Hello there! :)

We can use the formula:

\(\frac{y2-y1}{x2-x1} \\\)

First, let's take a look at the x-coordinates. They are the same, aren't they?

If the x-coordinates are the same, then the slope is undefined.

Put the x-coordinates into the formula. It turns out that we divide by 0, and division by 0 is undefined.

Hope this helps!

~Just a cheerful gal

#CarryOnLearning

\(SilentNature\)

Answer:

\(\boxed{16a + 11}\)

\( \boxed{\bf \: None \: of \: the \: Above} \)

Step-by-step explanation:

Given algebraic expression :

\( \tt 9a + 11 + 7a\)

We need to find the expression which is equivalent to the given expression.

Solution :

\(\tt= 9a+11+7a\)

We can rewrite this expression as,

\( \tt= (9a + 7a) + 11\)

\( \underline{\rm \: Combine \: the \: Like \: terms : }\)

\( \tt = 16a + 11\)

This expression can't be combined as 11 doesn't have a term to combine with 16a.

Also, this matches with none of the given choices.

Hence, the equivalent expression would be ,

\(\underline{\tt 16a + 11}\)

\( \boxed{\sf \: None \: of \: the \: Above} \)

\( \rule{225pt}{2pt}\)

I hope this helps!

If you have any questions,Let me know.

Answer:

\( \bf \boxed{None \: of \: the \: above.}\)

\( \frak{Explanation:}\)

Given,9a+11+7a

=9a+7a+11

=16a+11

Hence, the equivalent expression would be,

\( \bf \boxed{16a + 11}\)

A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.

A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.

1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."

2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.

3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).

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Answer:

a. 15L will last the cafe 3 days if they're using 4L every day

b. 15L will last them 7 days if they're using 2L every day

Step-by-step explanation:

division.

The dimensions of the area is 110 x 220 meters.

A mathematical space's dimension is defined informally as the smallest number of coordinates required to specify every point within it. Thus, a line seems to have a dimension of one since only one coordinate is required to identify a point on it - for example, that point at 5 on the number line.

Given:

The entire cost of constructing the wall as well as fence is $13.200.

the wall costs $50.00/m.

the fence costs $5.00/m

let x=width

2x=length and wall

length of fencing=x+x+2x=4x

Now,

5*4x+50*2x=13200

20x+100x=13200

120x=13200

x=110

2x=220

dimensions of area:110 by 220 meters

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Answer:

Step-by-Step Explanation:

Sarah:

1 Box = 2 Balls

There are 2 boxes which is 4.

Mel:

1 Box = 3 Balls

There are 2 boxes so  3 + 3 = 6

so 6-4 = 2

Therefore, Mel has 2 more balls than Sarah has.

Answer:

Step-by-step explanation:

put all of the sets in a mean median and mode calcultor then add the three numbers toghter

Answer:

B

Step-by-step explanation:

answer is based on results from the Cartesian plane

The answer choice that correctly calculates and interprets the standard deviation of the sum, S = X + Y is D. Sigma Subscript s = 0.8; companies A and B can expect the total weight of packages to vary by approximately 0.8 ounces from the mean.

A standard deviation means all measures of how dispersed the data is in relation to the mean. It should be noted that low standard deviation means that the data are clustered around the mean, and the high standard deviation means that the data are more spread out.

In this case, the answer choice that correctly calculates and interprets the standard deviation of the sum, S = X + Y is the sigma Subscript s = 0.8; companies A and B can expect the total weight of packages to vary by approximately 0.8 ounces from the mean.

In conclusion, the correct option is D.

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The temperature of coffee will reach 67 °C

The rate of temperature change is most directly related to the difference between the body temperature and room temperature.

\(\frac{dT}{dt} =-k(T-T1)\)

This equation's solution using the initial condition

T(0) = T0

T(t) = Tr + (T0 - Tr)

At the moment, the cooling rate

k × (T(t) - Tr)

We can write that according to the text

T1 = Tr + (T0 - Tr)

Solving the system of equations generates the unknown time:

t = \(\frac{69-20}{1} (ln\frac{95-20}{69-20})\)

t = 21 min.

Hence the coffee will reach the temperature 67°C in 21 minutes.

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Answer:

495

Step-by-step explanation:

using the definition

n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)

where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

then

12\(C_{4}\)

= \(\frac{12!}{4!(12-4)!}\)

= \(\frac{12!}{4!(8!)}\)

cancel 8! on numerator/ denominator

= \(\frac{12(11)(10)(9)}{4!}\)

= \(\frac{11880}{4(3)(2)(1)}\)

= \(\frac{11880}{24}\)

= 495

=[2\(x^{2}\)-y][3a-4b] This is the factorized form of 6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

To factorize a number, use the factorization formula. Factorization is the process of dividing a whole into components that, when multiplied together, equal the original number. The factorization approach simplifies any algebraic or quadratic equation by using the basic factorization formula, which represents the equations as the product of factors rather than expanding the brackets. Any equation may have an integer, a variable, or the algebraic expression itself as a factor.

6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

Rearrange the expression

6a\(x^{2}\) -8bx² -3ay +4by

2\(x^{2}\)[3a-4b] - y[3a-4b]

=[2\(x^{2}\)-y][3a-4b]

This is the factorized form of 6a\(x^{2}\)-3ay - 8 b\(x^{2}\) + 4by

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Answer:

-3x²-5xeˣ-eˣ

-3eˣx²-11eˣx-6eˣ

Step-by-step explanation:

I'm going to go by the picture and not what you wrote in your title.

To find the derivative of this we have to apply the product rule

(a*b)'=

a'*b+a*b'

We plug in our numbers and get

(-3x²+x-2)'*eˣ+(-3x²+x-2)*eˣ'

Now we can evaluate the derivatives and simplify

(-3x²+x-2)'= -6x+1

eˣ'=eˣ

which means we have

(-6x+1)*eˣ+(-3x²+x-2)*eˣ

Simplify

-6xeˣ+eˣ-3x²eˣ+xeˣ-2eˣ

Combine like terms

-3x²eˣ-5xeˣ-eˣ

Now we just need to find the derivative of this

We can apply the same product rule as we did before

(-3x²eˣ)'

Let's start by factoring out the -3 to get

-3(x²eˣ)'

which is equal to

-3(x²eˣ'+x²'eˣ)

Compute this and get

-3(x²eˣ+2xeˣ)= -3x²eˣ-6xeˣ

Now let's find the derivative of the second part

(-5xeˣ)'

-5(x'eˣ+xeˣ')

-5(eˣ+xeˣ)

-5eˣ-5xeˣ

Which means we have

(-3x²eˣ-6xeˣ)+(-5eˣ-5xeˣ)-eˣ

Combine like terms and get

-3eˣx²-11eˣx-6eˣ

Answer:

32 units

Step-by-step explanation:

The large triangle on top has an area of 20, cause 4*10 = 40

40/2 = 20.

the square on the bottom has an area of 4, well, cause 2*2 = 4.

The smaller triangle on the left has an area of 2, cause 2*2=4

4/2=2

The triangle on the right, has an area of 6, because 6*2=12

12/2=6

20+4+2+6 = 32

Answer:

32 Units =)

Step-by-step explanation:

The vertices of the given ellipse are (-9, 2) and (-1, 2). Therefore, option D is the correct answer.

We need to find the vertices of the given ellipse.

The major axis of the ellipse cuts the ellipse into two distinct points called the vertices of the ellipse. The line perpendicular to the major axis of the ellipse is the minor axis, and it cuts the ellipse at two distinct points called the covertices of the ellipse. The midpoint of the vertices of the ellipse, or the covertices of an ellipse is the centre of the ellipse. The endpoints of the major axis are the vertices, and the endpoints of the minor axis are the covertices.

Equation of the ellipse = x²/a² + y²/b² = 1

Vertices of Ellipse: (a, 0), (-a, 0)

As we know, the endpoints of the major axis are the vertices.

From the given figure we can see that axis of the ellipse passes through the points (-1, 2) and (-9, 2).

The vertices of the given ellipse are (-9, 2) and (-1, 2). Therefore, option D is the correct answer.

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Answer:

74ft³

Step-by-step explanation:

Okay, so it's basically 3 rectangular figures smashed together so:

We'll do the 2 biggest one's first:

the formula for the volume of a rectangular figure is base x height so we first have to find the base:

4 x 3 = 12

So then we just plug our stuff in here:

12 x 3 = 36

Now there's 2 of these rectangles though so:

36 x 2 = 72

Now we're going to do the one in the middle:

1 x 2 = 2

2 x 1 = 2

Now we add that all together:

72 + 2 = 74

So, the volume of the composite figure is 74ft³

hope this helps:)

Answer:

-27

Step-by-step explanation:

9(n + 3) = -216

(n + 3) = -216/9

n + 3 = -24

n = -24 -3

n = -27

You can check your answer:

Nine times the sum of a number and three:

9 x (-27 + 3) = 9 x -24 = -216

It's correct.

Answer:

8 CM

Step-by-step explanation:

(Hypotenuse)²=(Base)²+(Height)²

10²=X+6².

100=X+36

100-36=X ( by transposition method )

√64=X

8=X

So on solving the provided question, we can say that by equation , y = 5/8x; it makes a vertical line.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

Let y be the number of gallons of fertilizer produced by combining x tsp of fertilizer powder.

5 litres of liquid fertilizer are created by combining 8 tsp of fertilizer powder.

Therefore, the amount of liters of liquid fertilizer produced by combining 1 tsp of fertilizer powder = 5/8

gallons of LF by mixing x tsp of powder fertiliser  = 5/8x

the required equation is => y = 5/8x

so by graph it makes a vertical line.

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Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.

1 meter is equal to 39.37 inches.

To convert the units, we can set up the following conversion factor:

1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²

Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:

Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²

Acceleration in in/s² ≈ 15222.7568 in/s²

Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².

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Answer:

155 women must be randomly selected.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.9}{2} = 0.05\)

Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.05 = 0.95\), so Z = 1.645.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

The population standard deviation is known to be 28 lbs.

This means that \(\sigma = 28\)

We want 90% confidence that the sample mean is within 3.7 lbs of the populations mean. How many women must be sampled?

This is n for which M = 3.7. So

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(3.7 = 1.645\frac{28}{\sqrt{n}}\)

\(3.7\sqrt{n} = 1.645*28\)

\(\sqrt{n} = \frac{1.645*28}{3.7}\)

\((\sqrt{n})^2 = (\frac{1.645*28}{3.7})^2\)

\(n = 154.97\)

Rounding up:

155 women must be randomly selected.

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

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Answer:

Ooh my god sooo difficult

Step-by-step explanation:

Questions about equivalent expressions usually feature both simple expressions and complex expressions. To check which complex expression is equivalent to the simple expression:

Distribute any coefficients: a(bx\pm c)=abx\pm aca(bx±c)=abx±aca, left parenthesis, b, x, plus minus, c, right parenthesis, equals, a, b, x, plus minus, a, c.

Combine any like terms on each side of the equation: xxx-terms with xxx-terms and constants with constants.

Arrange the terms in the same order, usually xxx-term before constants.

If all of the terms in the two expressions are identical, then the two expressions are equivalent.

Example

How do we solve for unknown coefficients?

Some questions will present us with an equation with algebraic expressions on both sides. On one side, there will be an unknown coeffient, and the question will ask us to find its value.

For the equation to be true for all values of the variable, the two expressions on each side of the equation must be equivalent. For example, if ax+b=cx+dax+b=cx+da, x, plus, b, equals, c, x, plus, d for all values of xxx, then:

aaa must equal ccc.

bbb must equal ddd.

To find the value of unknown coefficients:

Distribute any coefficients on each side of the equation.

Combine any like terms on each side of the equation.

Set the coefficients on each side of the equation equal to each other.

Solve for the unknown coefficient.

Example

How do we rearrange formulas?

Formulas are equations that contain 222 or more variables; they describe relationships and help us solve problems in geometry, physics, etc.

Since a formula contains multiple variables, sometimes we're interested in writing a specific variable in terms of the others. For example, the formula for the area, AAA, for a rectangle with length lll and width www is A=lwA=lwA, equals, l, w. It's easy to calculate AAA using the formula if we know lll and www. However, if we know AAA and www and want to calculate lll, the formula that best helps us with that is an equation in which lll is in terms of AAA and www, or l=\dfrac{A}{w}l=

w

A

l, equals, start fraction, A, divided by, w, end fraction.

Just as we can add, subtract, multiply, and divide constants, we can do so with variables. To isolate a specific variable, perform the same operations on both sides of the equation until the variable is isolated. The new equation is equivalent to the original equation.

The value of equivalent expression is,

⇒ 5x - 29

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 6x + 7 - 12 × 2 - (3² + 3) - x

Now, We can simplify as;

⇒ 6x + 7 - 12 × 2 - (3² + 3) - x

⇒ 6x + 7 - 24 - (9 + 3) - x

⇒ 6x + 7 - 24 - 12 - x

⇒ 5x - 29

Thus,  The value of equivalent expression is,

⇒ 5x - 29

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