Geometry and Trigonometry​

Answer: Jen is wrong about her classification.

Step-by-step explanation:

First of all, we know that the definition of an irrational number is that they are numbers that cannot be represented by a simple fraction and that they are never repeating decimals and they never end.

So, considering this, Jen is wrong because, yes it does not repeat but it DOES END unless it is not written in this problem that it continues on irrationally like pi. Hence, this number is not irrational.

The Jen classifies the number 4.567 as an irrational number is false.

It is required to find the number is rational and irrational numbers.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given :

Jen's argument

We have

4.567 as an irrational number

The above claim is false because

4.567 =

4567/1000

When we divide the above number in the form of p/q  and q≠0 then then number is rational number.

Therefore, the Jen classifies the number 4.567 as an irrational number is false.

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Answer:plan

Step-by-step explanation:

Answer:

900000

Step-by-step explanation:

You multiply 90000 by 10= 900000 which is also 10/10 of of 900000 which means 1/10 of 900000 is 90000

Answer:

900000

Step-by-step explanation:

Answer:

1) [tex](4x)(x+2)-x(3x+5)[/tex]

2A) [tex]w^2+3w[/tex]

2B) [tex]28\text{ in}^2[/tex]

Step-by-step explanation:

1)

First, let's write the expressions for the area of the entire shaded region and the white area.

The formula for the area of a rectangle is given by:

[tex]A=lw[/tex]

For the entire shaded rectangle, the length is (4x) and the width is (x+2). So, the area is:

[tex](4x)(x+2)[/tex]

For the white rectangle, the length is (3x+5) and the width is (x). So, the area is:

[tex]x(3x+5)[/tex]

The shaded area is the entire shaded rectangle minus the area of the white rectangle. Therefore, our expression would be:

[tex](4x)(x+2)-x(3x+5)[/tex]

2)

Part A)

So, we are given that the length of the rectangle is 3 inches greater than the width.

The area of a rectangle is given by:

[tex]A=lw[/tex]

So, let w be width and let l be the length.

Since the length is 3 inches greater than the width, this means that the l is (w+3).

Thus, substitute. Our expression will therefore be:

[tex]lw\\w(w+3)[/tex]

Since we want a polynomial, let's expand:

[tex]=w^2+3w[/tex]

Part B)

To find the area when the width is 4, substitute 4 for w:

[tex]w^2+3w\\=(4)^2+3(4)[/tex]

Square and multiply:

[tex]=16+12[/tex]

Add:

[tex]=28\text{ in}^2[/tex]

So the area is 28 square inches.

Answer:

65.5

Step-by-step explanation:

(74 + 57)divided by 2 = 65.5

Answer: 3 71/100

Step-by-step explanation:

Answer: C) -3

Step-by-step explanation: 4(-3) + 12 = 0

Answer:

[tex]3y^3 - 5x[/tex]

Step-by-step explanation:

Hey there!

Given,

[tex]x - 3y^3 + 3x^3 - 5x - x^3 - x - 2x^3[/tex]

Combine like terms

[tex]3y^3 - 5x[/tex]

Hope this helps :)

Answer:

= -3y³ - 5x

Step-by-step explanation:

x - 3y³ + 3x³ - 5x - x³ - x - 2x³

= -3y³ + (3x³ - x³ - 2x³) + (x - 5x - x)

= -3y³ + 0  - 5x

= -3y³ - 5x

Answer:

17.4

Step-by-step explanation:

44/5 = 8.8

73/5 = 14.6

8.8 + 14.6 = 23.4

23.4 - 6 = 17.4

Answer:

[tex](-1)+(-3)=-4[/tex]

Step-by-step explanation:

We were originally on -1.

But we jumped to -4.

-4 is 3 spaces to the left of -1.

In other words, we subtract 3 into -1.

Another way of saying this is that we added -3 to -1.

Therefore, our equation is:

[tex](-1)+(-3)=-4[/tex]

Answer:

[tex]Probability = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

Grape = 15

Cherry = 7

Lemon = 3

Strawberry = 5

Total = 30

Required

Determine the probability of picking a strawberry

The probability of drawing a strawberry is calculated by dividing the number of strawberry by the total number of fruits as follows;

[tex]Probability = \frac{Strawberry}{Total}[/tex]

Substitute 5 for Strawberry and 30 for Total

[tex]Probability = \frac{5}{30}[/tex]

Divide the numerator and denominator by 5

[tex]Probability = \frac{1}{6}[/tex]

Hence, the required probability is [tex]\frac{1}{6}[/tex]

Answer:

C

Step-by-step explanation:

the first shape has 6 edges, the second shape has 5 edges, the third shape has 4 edges, therefore the fourth shape has 3 edges (c)

The correct answer is B. The number of seats in the restaurant

Explanation:

The number of seats is a quantitative variable because this is expressed using numbers and can be understood through numbers.  For example, the average of seats in the restaurants in the area can be calculated by finding the total of seats and dividing the number into the number of restaurants.

On the other hand, the type of cuisine and the restaurant critic's letter grade do not involve numbers but qualities, which make them qualitative variables. Also, even if zip codes are expressed using numbers these cannot be understood through them, for example, you cannot add two zip codes.

Answer:

B

Step-by-step explanation:

Complete Question

Assume the random variable x is normally distributed with mean u=87 and standard deviation o=5. Find the indicated probability.

P(x<81)

P(x<81)=__(Round to four decimal places).

Answer:

The  value  is  [tex]P(x < 81) = 0.11507[/tex]

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu = 87[/tex]

  The  standard deviation is  [tex]\sigma = 5[/tex]

The probability is mathematically represented as

              [tex]P(x < 81) = P (\frac{X - \mu }{\sigma } < \frac{81 - 87 }{5 } )[/tex]

Generally  [tex]\frac{X - \mu}{\sigma} = Z (The \ z-score \ of X )[/tex]

            [tex]P(x < 81) = P (Z < - 1.2)[/tex]

From the z-table  

                   [tex]P (Z < - 1.2) = 0.11507[/tex]

So               [tex]P(x < 81) = 0.11507[/tex]

Answer:

16

Step-by-step explanation:

38-22=16

16 sea lions

Answer:

38-22=16.

16 sea lions.

Answer:

1516 Gallons

Step-by-step explanation:

For this problem, we will simply take the initial amount of water, 1500 gallons, and add the extra water after eight hours.

So if the pool is filling at a rate of 2 gallons per hour, and 8 hours pass by, then the pool will have filled an additional 16 gallons.  (2 * 8 = 16).

Then, we add the initial amount of 1500 gallons to the additional 16 gallons to get the amount of water in the pool after 8 hours.

The total the pool is holding is 1516 gallons after 8 hours.

Cheers.

Answer: 5 cm

Step-by-step explanation:

To use a ruler, you read it from left to right, where the numbers get larger and larger. The blue end of the ruler starts at 0 cm, where it should start. Going right, we see that it ends at 5 cm. Therefore, our answer is 5 cm.

Answer:

Second one

Step-by-step explanation:

The total length is 5 ft and Gracia has used 2 ft.

The second answer illustrates correctly the difference between 5 and 2 wich the remaining length.

● 2 + x = 5

We moved right x units

x is 3 (aftet solving the equation ir simply counting the units)

Answer:

(124)(29)

=10616832

Step-by-step explanation:

Answer:

a. True

B. False

C. True

D. False

Step-by-step explanation:

a.) A+B = C then AD' + BD' = CD'

AD'+BD' = D'(A+B)

and we already have that A+B = C

such that D'C = C'D

this statement is true

b.) A'B + A'C = A'D then B+C = D

let's have A = 1 and B= 0, C= 0 and D = 1

A'(0) + A'(0) = 1(1)

0+0 = 1

0 = 1

This is false because 0 is not equal to 1

c.) A+ B=C then A+B+D= C+D

If A+B+D= C+D

Then A+B=C

The statement is true

d.) A+B+C=C+D

A+B = D

let's equate A = 0

B= 0

C= 1

D= 1

from a+b = D

We have

0+0 = 1

0 is not equal to 1

The statement is false

Answer:

a. True

B. False

C. True

D. False

Step-by-step explanation:

a.) A+B = C then AD' + BD' = CD'

AD'+BD' = D'(A+B)

and we already have that A+B = C

such that D'C = C'D

this statement is true

b.) A'B + A'C = A'D then B+C = D

let's have A = 1 and B= 0, C= 0 and D = 1

A'(0) + A'(0) = 1(1)

0+0 = 1

0 = 1

This is false because 0 is not equal to 1

c.) A+ B=C then A+B+D= C+D

If A+B+D= C+D

Then A+B=C

The statement is true

d.) A+B+C=C+D

A+B = D

let's equate A = 0

B= 0

C= 1

D= 1

from a+b = D

We have

0+0 = 1

0 is not equal to 1

The statement is false

Step-by-step explanation:

Answer:

Ratio = 5:1

         = 5 / 1

Number of teachers = 15

Lets take the number of students = x

Therefore,

5:1 = x:15

= 5/1 = x/15

x = 15 × 5

  = 75 students

Hope it helps!!

Answer:

The playground is 160ft by 360ft.

The model is 4in by 9in

First, 1ft = 12 inches.

Then the measures of the playground, in inches, is:

160*12in = 1920 in

360*12in =  4320in

The playground is 1920in by 4320in.

Then, the ratios between the measures of the playground and the model are:

1920in/4in = 480

4320in/9in = 480

This means that each inch in the model, represents 480 inches in the actual playground.

Answer:

B. [tex] \frac{ {7}^{36} }{ {9}^{24} } [/tex]

Step-by-step explanation:

[tex] \bigg( {9}^{6} . {7}^{ - 9} \bigg ) ^{ - 4} \\ \\ = {9}^{6 \times ( - 4)} \times {7}^{ - 9 \times ( - 4)} \\ \\ = {9}^{ - 24} \times {7}^{36} \\ \\ = \frac{ {7}^{36} }{ {9}^{24} } \\ [/tex]

Answer: is B

Step-by-step explanation:

-20, xmax

The most appropriate viewing window for determining the domain and range of the function is Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20.

The given function is  f(x)=-|x+5|+12.

We need to find the most appropriate viewing window for determining the domain and range of the function.

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (-∞, ∞), {x|x∈R}

Range: (-∞, 12], {y|y≤12}

So,window=Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20

Therefore, the most appropriate viewing window for determining the domain and range of the function is Xmin: –20, Xmax: 20Ymin: –20, Ymax: 20.

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Answer: f(x) = -2X + 5

Step-by-step explanation:

Answer:

One Way Trip There = ($460.22)

There and Back Trip = ($465.26)

Answer:

y-int: (0, -45)

x-int: (-10, 0)

Step-by-step explanation:

x-intercept is the x-value when y = 0

y-intercept is the y-value when x = 0

x-int:

When y = 0, x = -10, so (-10, 0)

y-in:

when x = 0, y = -45, so (0, -45)

Answer:

yes it is

Step-by-step explanation:

hope this helps✨

Answer:

The answer is 3.14 * 10^-6

Answer:

3.1415 * 10^6

Step-by-step explanation:

Scientific notation is  of the form a* 10 ^b where a is between 1 and less than 10

3,141,500  

Move the decimal 6 places to the left

The exponent is the number of places you move the decimal

Since we move it to the left, it is positive

3.141500 * 10^6

Drop the trailing zeros

3.1415 * 10^6