Graph the numbers -0.2, 7/10, -1, √2, and -4 on a number line.

-8 -7, -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8

Answer:

88.7 rounded and 88.66 not rounded

Answer:

y = 6x - 2

Step-by-step explanation:

We will use the slope-intercept form of a line to help us.  We know the slope, we need to determine the y-intercept.  To find this, we need an x and y on the line and the slope.  Fortunately, they have given us all of the information.  An ordered pair is in the form (x,y)  So we will use x = 1 and y = 4 from the point they have given us (1,4)  They have also given us the slope of 6.  We will plug this all into our equation and solve for b  the y-intercept.

y = mx + b

4 = 6(1) + b  

4 = 6 + b  Subtract 6 from both sides of the equation.

-2 = b

Now, write the equation

y = mx + b

y = 6x -2

The domain is written in the form { x : x ≠ 7/3 }

Given data

Y= 1-7x / 8-|3x-15|

The domain refers to the values of x, from the equation we solve for the possible values that will not make the equation undefined.

For the equation to be undefined the denominator should be zero hence we solve for the value of x that will make the equation, to have a denominator equal to zero and the domain will be any other values of x except the value that gives the denominator equal to zero,

The denominator is 8-|3x-15|

solving for the value of x that gives the equation that makes the equation equal to zero

8-|3x-15| = 0

3x - 15 = -8

3x = -8 + 15

3x = 7

x = 7/3

The domain is written in the form { x : x ≠ 7/3 }

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The average number of viewers over the two weeks will be 3.85 × 10⁴.

It should be noted that based on the information, the TV show had 3.6 x 10⁴ viewers in the first week and 4.1 x 10⁴ viewers in the second week.

Therefore, the average number of viewers over the two weeks will be:

= [(3.6 × 10⁴) + (4.1 × 10⁴)] / 2

= 3.85 × 10⁴

Therefore, the average number of viewers over the two weeks will be 3.85 × 10⁴.

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Answer:

it is very tough questions

Using Gaussian elimination, the solution to the given system of equations is given as follows:

x = 5, y = -11, z = 3.

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.

For this problem, the variables are x, y and z, and the system is given as follows:

There are multiple ways in which a system can be solved, and for this one, Gaussian elimination will be used.

The first step is writing the augmented matrix of the system, as follows:

[tex]\left[\begin{array}{cccc}2&-1&4&33\\1&2&-3&-26\\-5&-3&5&23\end{array}\right][/tex]

Then, the first column, which is equivalent to be coefficient of y, has to be of zero on the second and on the third row, hence:

The updated matrix will be given by:

[tex]\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&-11&30&211\end{array}\right][/tex]

Then, the second column, equivalent to the coefficient of y, on the third row has to be zero, hence:

R3 -> 11R2 + 5R3.

Then the matrix is:

[tex]\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&0&40&120\end{array}\right][/tex]

From each row of the system, from bottom up, we find the variables, as follows:

40z = 120

z = 120/40

z = 3.

5y - 10z = -85

5y - 30 = -85

5y = -55

y = -11.

2x - y + 4z = 33

2x + 11 + 12 = 33

2x = 10

x = 5.

Hence the solution for the system is:

x = 5, y = -11, z = 3.

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Answer:

54=12+r

Step-by-step explanation:

'Sum' means to add.

54 = 12 + rhonda's height

54 = 12 + r

The numerical expression that shows the amount of marbles that Alan has now is; 3(5 + 4)

We are told that he found 4 marbles to add to the 5 marbles in his collection.

Thus, after addition, total number of marbles is;

5 + 4 = 9 marbles

Now, we are told that he tripled this sum of marbles he had. Thus;

Tripling of marbles = 9 * 3

Thus, the numerical expression that shows the amount of marbles that Alan has now is;

3(5 + 4)

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Correct question is;

Alan found 4 marbles to add to the 5 marbles in his collection. Then, he went to the store and tripled the number of marbles he had.

Which numerical expression shows the amount of marbles Alan has now?

Answer:

Lets say a CD costs a 100 dollars (which it obviosly doesn't)

No matter whether we do the discount before or after tax, it'll end up costing 84 dollars to by the CD.

80% of 100 = 80

80 * 1.05 = 84

80% of 105 = 84

The order in which he does the discount and the tax doesn't matter.

Hope this helps.

Step-by-step explanation:

the answer is o={3,5,79,11,13,15,17.....................}

Answer: The number of ribbons used to trim the Curtains are 72 inches.

Step-by-step explanation:

Let us convert all numbers into inches.

Then, 1 yard= 36 inches

Given data, 5/2yards

So, 5/2 yards means.,

5/2= 2.5 yards

We can write: 2.5yards=2.5x36inches

=90inches

We convert feet into inches

1feet=12inches

We consider 1feet=12inches

In this question she had 1feet 6 inches of ribbons left.

Then 1x12=12inches

More 6 inches: 12+6=18inches

Now subtract 18 inches from 90 inches to get the inches used to trim curtains

Then, 90inches-18inches=72 inches

Thus, the number of ribbons used to trim the Curtains are 72 inches.

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Answer:

expression

Step-by-step explanation:

It's an expression. The expression happens to be a quadratic polynomial.

An equation must have an equal sign.

An equation is a statement that a number or expression equals a number or expression.

Here, there is no equal sign. There is only an expression.

Answer:

This is an expression

8x2+7x-15

Answer: Sam was 2.5 Km far from his house

Step-by-step explanation:

Sam's parents gave him a map to reach his house.

As per Map Sam was =1.5cm from his home.

To find actual distance from house

If we consider actual distance  of sam house =X

We have,

If each 3 cm on scale drawing equals 5 km

We know on map 3cm  = 5Km

If 1.5 cm = X Km

We need to cross multiple

 3X =1.5 × 5

 3X = 7.5

X= 7.5÷3

X= 2.5 Km

Sam was 2.5 Km far from his house.

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The length of the rectangle is 12 meters and its width is 4 meters.

A rectangle is a four sided figure, whose opposite sides are equal and the angle formed by any two adjacent sides is 90 degrees.

Here, we are given that the perimeter of the rectangle is 32 meters.

Let the length of the rectangle be L and breadth or width be B

We known that perimeter of a rectangle = 2(L + B)

Now, it is given that the length is 4 m more than two times the width

⇒ L = 4 + 2B

Thus, the area of the perimeter will be-

Perimeter = 2(4 + 2B + B)

⇒ 32 = 2(4 + 2B + B)

32/2 = 4 + 2B + B

16 = 4 + 3B

16 - 4 = 3B

12 = 3B

or 3B = 12

B = 12/3

B = 4

Thus, the width of the rectangle is 4 meters.

Therefore, L = 4 + 2(4)

L = 4 + 8

L = 12

Thus, the length of the rectangle is 12 meters.

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An equation that relates T to N can be written as T = 750 + 630N.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population (data set).

Since the total amount saved by using both plans (functions A and B) is represented by T, an equation that relates T to N can be written as follows:

T = A + B

Substituting the given parameters into the formula, we have;

T = (750 + 135N) + 495N

T = 750 + 135N + 495N

T = 750 + 630N.

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Complete Question:

Raina and her husband are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the savings. The amount A (in dollars) saved this way is given by the function A=750+135N , where N is the number of months he has been saving. Her husband will not set an initial amount aside but will add $495 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=495N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N.

Simplify your answer as much as possible.

Answer:

See explanation

Step-by-step explanation:

If two of the side lengths are equal, use only one of those two equal side lengths. Then, using that one side length, multiply that side length with the third side length to get the area.

side length a, b, and c.

a=b.

A=area.

A=b*c ==> Area of rectangle

Answer:

Banks charge fees to help make a profit.

Step-by-step explanation:

Bank fees allow financial institutions to recoup operating expenses. Banks also make money on loans, via interest and other fees.

The volume of the right rectangular prism = 2.4 ft³

A cube is a three dimensional shape that has equal edges and sides. The volume of a cube is calculated as:

Volume = a³, where a is the side length of the cube.

Given:

Side length of one cube (a) = 1/5 ft

Volume of one cube = (1/5)³ = 1/125 ft³

The right rectangular prism has 300 of these cube. Therefore:

Volume of the right rectangular prism = 300 × 1/125

Volume of the right rectangular prism = 300/125

Volume of the right rectangular prism = 2.4 ft³

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Answer:

option c is correct....

in the equation y= -x-1/2

the slope is -1/1 which can also be shown as -1.

Answer:

The 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

The 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

The 41 week gestation's period baby weighs relatively less.

Step-by-step explanation:

Normal model problems can be solved by the zscore formula.

On a normaly distributed set with mean  and standard deviation , the z-score of a value X is given by:

The zscore represents how many standard deviations the value of X is above or below the mean .

Find the corresponding z-scores.

Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 800 grams. A 32-week gestation period baby weighs 2450.

Here, we have .

So

A negative z-score indicates that the value is below the mean.

So, the 32 week gestation's period baby weighs 0.31 standard deviations below the mean.

Babies born after a gestations period of 40 weeks have a mean weight of 2900 grams and a standard deviation of 385 grams. A 41 week gestation period baby weights 2650 grams.

Here, we have

So, the 41 week gestation's period baby weighs 0.65 standard deviations below the mean.

Which baby weighs relatively less?

The 41 week gestation's period baby has a lesser z-score, so this means that he weighs relatively less.

Answer: I hope this helps.

Step-by-step explanation:

the exponential model is given as N = 2.7 (1.0133)^(t) and the estimated population in 2009 was 2.6646 million.

According to the question, we have the information that:

N = 3 million

No = 2.7 million

a = 8 years

Now, we need to find the exponential model for the given data.

Do putting the values in the equation to get the value of a, we have:

3 = 2.7 (a)^(8)

1.1111 = a^(8)

a = 1.0133

So, the exponential model will be:

N = 2.7 (1.0133)^(t)

Now, the estimated population in 2009 will be:

t = - 1

So, we get that:

N = 2.7 (1.0133)^(-1)

N = 2.7 / 1.0133

N = 2.6646 million

Therefore the exponential model is given as N = 2.7 (1.0133)^(t) and the estimated population in 2009 was 2.6646 million.

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The probability that both marbles are​ red will be 0.055.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences. The probability is given as,

P = (Favorable event) / (Total event)

A jar full of marbles is kept by Li. There are 16 purple marbles, 10 red marbles, and 15 blue marbles in the jar. A stone is chosen at random by her from the jar. She leaves the marble alone. She takes another stone out of the jar.

The total number of event = 16 + 10 + 15 = 41

Then the probability of both marble should be red will be given as,

P = (10 / 41) x (9 / 40)

P = 0.055

Thus, the probability that both marbles are​ red will be 0.055.

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The equation after completing the square is (z + 4)² = 80

The solutions to the given equation in the simplest radical form are z = -4 + 4√5 and z = -4 - 4√5

From the question, we are to solve the given quadratic equation by completing the square

The given equation is

z² +8z - 44 =20

First, add 44 to both sides of the equation

z² +8z - 44 + 44 = 20 + 44

z² +8z = 64

Now, divide the coefficient of z by 2, square the value and add to both sides

The coefficient of z is 8

Dividing

8/2 = 4

Squaring

4²

Now, add this to both sides

That is,

z² +8z +4² = 64 + 4²

(z + 4)² = 64 + 16

(z + 4)² = 80

The equation after completing the square is  

(z + 4)² = 80

Continuation

(z + 4)² = 80

Take the square root of both sides

√(z + 4)² = ±√80

z + 4 = ±√80

z = -4 ± √80

z = -4 ± 4√5

z = -4 + 4√5 and z = -4 - 4√5

Hence,

The equation after completing the square is (z + 4)² = 80

The solutions to the given equation in the simplest radical form are z = -4 + 4√5 and z = -4 - 4√5

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Answer:

I believe it's option 3, because you multiply 3 by 4, and get 12

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Situation of non- proportional relationship :

The circumference of a circle with a radius of x units can be represented by = 2nx.

The perimeter of an equilateral triangle with a side length of x  units can be represented by y = 3x

The total surface area of a cylinder with a radius of 1 unit and height of x units can be represented by y = 2xx + 2x

The radius of a circle with a diameter of x units can be represented by y = [tex]\frac{1}{2}x[/tex]

a proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant. The graph of a proportional relationship is a line through the origin.

When ratios between quantities are not constant, a relationship may be linear but not proportional and the graph does not pass through the origin.

The graph shows the sales tax charged based

on the amount spent at a video game store in

a particular city. Does the graph show a linear

relationship? Is the relationship proportional

or nonproportional?

The graph shows a linear proportional

relationship because it is a line that contains

the origin.

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