Find the perimeter. Area=5.612x10^14
9.2x10^7

Answer:

Infinite number of rational numbers exist between any two distinct rational numbers. We know that a rational number is a number which can be written in the form of qp where p and q are integers and q =0.

Neither of these statements are true.

x/∞ = 0 is a nonsensical statement. It's more accurate to say

[tex]\displaystyle \lim_{y\to\infty} \frac xy = 0[/tex]

for any real number x. The important bit is that y is an arbitrarily large number as it approaches ∞. To convince yourself that this expression approaches 0 as y gets larger and larger, try fixing x and pick any increasing sequence of numbers for y.

For example, let x = 1 and take y from the sequence of increasing powers of 10, {10, 10², 10³, …}, which grows without bound. Then

1/10 = 0.1

1/10² = 0.01

1/10³ = 0.001

and so on. Naturally, the larger the power of 10 and thus the larger y gets, the closer x/y gets to 0.

Similarly, x/0 is nonsense, but the "limit-ized" version of the claim is also incorrect. For any fixed real number x, the limit

[tex]\displaystyle \lim_{y\to0} \frac xy[/tex]

does not exist. Suppose x > 0. If y approaches 0 from above, then y > 0 and x/y > 0 and

[tex]\displaystyle \lim_{y\to0^+} \frac xy = +\infty[/tex]

which you can convince yourself is true by reversing the example from before. Let x = 1 and take y from the sequence of decreasing powers of 10, {1/10, 1/10², 1/10³, …}, which converges to 0. Then

1/(1/10) = 10

1/(1/10²) = 100

1/(1/10³) = 1000

and so on. The smaller y gets (while still being positive), the larger x/y becomes.

But now suppose y < 0 and that y approaches 0 from below. Then x/y < 0, and

[tex]\displaystyle \lim_{y\to0^-} \frac xy = -\infty[/tex]

The limits from either side do not match, so the limit as y approaches 0 does not exist.

You can use the same reasoning for when x < 0.

The case of x = 0 is special, however. Since y is approaching 0, it's never actually the case that y = 0. 1/y is then some non-zero real number, and multiplying it by x = 0 makes x/y = 0. Then

[tex]\displaystyle \lim_{y\to0} \frac 0y = 0[/tex]

So in general,

[tex]\displaystyle \lim_{y\to0} \frac xy = \begin{cases}0 & \text{if }x = 0 \\ \text{does not exist} & \text{otherwise}\end{cases}[/tex]

Answer:

Step-by-step explanation:

A.  20

B. 20 (what is the 30 thing)

C. 28

D. 36

E. 20

F. 96

If f¹ is supposed to say f⁻¹ : rewrite f(4x + 5) as an "obvious" function of 4x + 5, then replace 4x + 5 with x. By "obvious", I mean make it clear how 4x + 5 is the argument to f.

[tex]f(4x+5) = 12x+18 = 3 (4x + 6) = 3 (4x + 5 + 1) = 3 (4x + 5) + 3[/tex]

Then swapping out 4x + 5 for x gives

[tex]f(x) = 3x + 3[/tex]

The inverse of f(x), if it exists, is a function f⁻¹(x) such that

[tex]f\left(f^{-1}(x)\right) = x[/tex]

Evaluate f at f⁻¹ and solve for f⁻¹ :

[tex]f\left(f^{-1}(x)\right) = 3 f^{-1}(x) + 3 = x \implies \boxed{f^{-1}(x) = \dfrac{x-3}3}[/tex]

If f¹ instead means f' (as in the first derivative of f) : earlier we found f(x) = 3x + 3, and differentiating this is trivial.

[tex]f(x) = 3x+3 \implies f'(x) = 3[/tex]

The probability that a randomly selected makeup item from her bag will be an eye shadow is 1/5 or 20%.

The probability of selecting an eye shadow from Gabby's bag can be calculated by dividing the number of eye shadows in the bag by the total number of cosmetics in the bag.

There are 4 eye shadows in Gabby's bag, and a total of 20 cosmetics. Therefore, the probability of selecting an eye shadow is:

P(eye shadow) = 4/20 = 1/5

This means that there is a 1 in 5 chance, or a 20% chance, that a randomly selected makeup item from Gabby's bag will be an eye shadow.

The probability can be expressed as a fraction or a whole number, depending on the context of the problem. In this case, we can express the probability as the fraction 1/5, which means that out of 20 possible cosmetics, only 4 are eye shadows.

We can also express the probability as the whole number 0.2 or 20%, which represents the proportion of eye shadows in Gabby's bag.

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Answer:

w=7

Step-by-step explanation:

A parallelogram is defined as a four-sided plane rectilinear figure with opposite sides parallel. This means that GH and FE must be equivalent, and HE and GF must be equivalent. Now, we just use those equations to solve.
16w-63=7w
9w-63=0

9w=63

w=7!!!
and we can double check.

16w-81=15w-74
16w=15w+7
w=7

Answer:

A

Step-by-step explanation:y-5=6(x+1)

y-5=6x+6 Combine like terms so you add -5 to +6 which would be y=6x+11

Answer:

A.

Step-by-step explanation:

The sum of angles of a triangle is 180. if you add 85+45+60 you get 190. That is more than 180.

[tex]\huge\purple{hi!}[/tex]

3.991 nearest one hundred is 3.99

The answer wood be 3.99

Since 1 is closer to 0 you round down and it is 3.99

Answer:

V =512 m^3

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

V = 8^3

V =512 m^3

B. The square root function is the quadratic function reflected across

the line y = x, with a limited domain.

graph y=x^2 and y=√x and y=x

graph is attached

gathmath

Answer:

Given a bus can ferry a maximum of 12 people .by setting up an inquality find minimum number of bus that are needed to ferry 80 people

Given a bus can carry a maximum of 12 people. We need to find minimum number of buses to carry 80 people.

Now 12 people can go in 1 bus.

Therefore 1 person can go in 1/12 bus

Now 1 person can go in 1/12 bus

Therefore 80 people can travel in 1/12 x 80

                                                   = 6.6  

                                                    = 7

Therefore minimum buses needed will be 7

Now we can write inequality as 12 x x > = 80

                    Or x ≥ 80 / 12

       or x > = 6.6

Step-by-step explanation:  Hopes it help

                                            Please mark my answer as a brainliest!

Answer:

  $3.65

Step-by-step explanation:

The two purchases describe relations between quantity and price that can be used to write a system of equations for the prices of the hockey pucks and hockey sticks. These equations can be solved to find the price of a hockey puck.

__

Let x and y represent the prices of a hockey puck and a hockey stick, respectively. The two purchase values are ...

  5x +3y = 23.50

  5x +y = 20.00

Rearranging the second equation, we have an expression for y:

  y = 20.00 -5x . . . . . . subtract 5x from both sides

Substituting this into the first equation gives ...

  5x +3(20.00 -5x) = 23.50 . . . . . substitute for y

  -10x +60.00 = 23.50 . . . . . . simplify

  x -6.00 = -2.35 . . . . . . . . divide by -10

  x = 3.65 . . . . . . . . . . . add 6

One hockey puck costs $3.65.

Answer:

x = -75

Step-by-step explanation:

[tex]\frac{3}{5}[/tex] x = - 45 ( multiply both sides by 5 to clear the fraction )

3x = - 225 ( divide both sides by 3 )

x = - 75

Answer:

A

Step-by-step explanation:

Answer:

First, multiply 5 and 8. That equals 40. Then you take the square root of 40, which doesn't result in a whole number, so you factor 40 and removing perfect squares. In which case the answer would be 2√10

Answer:

66

Step-by-step explanation:

6(n² + 2)

6(3² + 2)

6(9 + 2)

6(11)

66

A correct sequence of similarity transformations that shows AABC~ ADEF is that D. a counterclockwise rotation of 90 degrees about point E followed by dilation with a scale factor of 2 centered at point E.

A similarity transformation refers to a geometric similarity, or to a matrix transformation that results in a similarity.

In this case, the correct sequence of similarity transformations that shows AABC~ ADEF is that a counterclockwise rotation of 90 degrees about point E followed by dilation with a scale factor of 2 centered at point E.

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The area of the composite shape in the diagram given is: 100 square inches.

Area of a composite figure = sum of the areas of the shapes that make up the figure.

Area of the composite shape = 2(area of triangle) = 2(1/2bh)

Area of the composite shape = 2(1/2×10×10)

Area of the composite shape = 100 square inches.

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The area of the triangle is 608 cm².

Area is the region bounded by a plane shape.

To calculate the area of the triangle, we use the formula below.

Formula:

Where:

From the question,

Given:

If

Substitute these values into equation 1

Hence, the area is 608 cm².

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The amount of glue that eric used for his project is [tex]\mathbf{ 1\dfrac{11}{16}}[/tex]

The interpretation of the line plot involves a careful approach to how a series of data points are connected on coordinate planes.

From the Glue for summer project line plot:

The amount of glue Eric used for the project is;

[tex]\mathbf{=\dfrac{3}{4}\times 2\dfrac{1}{4}}[/tex]

[tex]\mathbf{=\dfrac{3}{4}\times \dfrac{9}{4}}[/tex]

[tex]\mathbf{=\dfrac{27}{16}}[/tex]

[tex]\mathbf{= 1\dfrac{11}{16}}[/tex]

Therefore, we can conclude that the amount of glue used by Eric for this project is: [tex]\mathbf{ 1\dfrac{11}{16}}[/tex]

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Answer:

C

Step-by-step explanation:

mailing a check is the mechanical transport of a physical object representing a monetary amount for payment.

that act itself is not electronic.

at the end in today's times the final act to get the money from Elsa'a account into the account of the utility company will be most certainly electronic, but we don't know (it could still end up in the old fashioned way that somebody from the utility company goes with the check to their bank, cash that check in and then use that cash in some way). and Elsa would not be involved. for her the payment was manual, "mechanical", and not electronic.

Answer:

C

Step-by-step explanation:

It mentions Elsa mails a check. Although it is sent through mail, the means of payment is still a check, which is not a digital transaction.

Step-by-step explanation:

= 5 • ( 4• x )

= 5 ( 4x )

= 20x

[tex]...[/tex]

Answer:

14.5 Meters

Step-by-step explanation:

1 centimeter= 0.01 Meters

1450 cm x 0.01 =14.5

Answer:

6

Step-by-step explanation:

[tex]f(a)=a^4-2a^3 -10a^2 -7a \\\\f(-2) = (-2)^4-2(-2)^3 -10(-2)^2 -7(-2)\\\\~~~~~~~~~=16-2(-8)-10(4)+14\\\\~~~~~~~~~=30+16-40\\\\~~~~~~~~~=46-40\\\\~~~~~~~~~=6[/tex]

Answer:

see explanation

Step-by-step explanation:

since the triangles are congruent , then corresponding sides and angles are congruent.

(1)

Δ HIJ ≅ Δ LMN

sides           angles

---------         -----------

HI ≅ LM        ∠ H ≅ ∠ L

HJ ≅ LN         ∠ I ≅ ∠ M

IJ ≅ MN          ∠ J ≅ ∠ N

(2)

Δ XYZ ≅ Δ JKL

sides            angles

--------          ------------

XY ≅ JK        ∠ X ≅ ∠ J

XZ ≅ JL        ∠ Y ≅ ∠ K

YZ ≅ KL        ∠ Z ≅ ∠ L

Answer:

1. ΔHIJ ≅ ΔLMN

2. ΔXYZ ≅ ΔJKL

Step-by-step explanation:

I believe it's asking to list the corresponding sides and pairs of angles in the congruent triangles.

Look at the order of the letters HIJ and LMN. There are 3 letters, which represent 3 sides and 3 angles. The first, second, and third letters of the first triangle correspond to the first, second, and third letters of the second triangle.

1. ΔHIJ ≅ ΔLMN

2. ΔXYZ ≅ ΔJKL

The ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

The side length AB is given as:

AB = 8x

The area of the white square is calculated as

White = (AB)²

This gives

White = (8x)²

Evaluate

White = 64x²

The side length AB represents the diameter of the black circle.

So, the radius is:

r =AB/2

This gives

r = 8x/2 = 4x

The area is then calculated as:

Circle = πr²

This gives

Circle = π(4x)²

Evaluate

Circle = 16πx²

Next, calculate AW and AZ using:

AZ = AW = AB/2

Evaluate

AZ = AW = 8x/2 = 4x

Calculate WZ using the following Pythagoras theorem

WZ² = AW² + AZ²

This gives

WZ² = (4x)² + (4x)²

Evaluate

WZ² = 2(4x)²

Take the square root of both sides

WZ = 4x√2

The area of the gray square is:

Gray = WZ²

This gives

Gray = 2(4x)²

Evaluate

Gray = 32x²

At this point, the areas are:

The ratio is then represented as:

Ratio = Circle : White : Gray

This gives

Ratio = 16πx² : 64x² : 32x²

Divide through by 16x²

Ratio = π : 4 : 2

Hence, the ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2

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The value of k based on the information given will be k = 2.

It should be noted that the line of f(x) passes through the point (-4, 0) and (0, 4). The line of g(x) goes through (-2, 0) and (0, 4).

The slope of x will be:

= (4 - 0)/(0 + 4)

= 4/4

= 1

By using slope point form, y = kx + 4.

Substitute x = 2.

g(-2) = -2k + 4 = 0

2k = 4

k = 4/2 = 2

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If each student like at least one activity, the number of student that like both is 25

The class have 75 students.

50 like visiting and 50 like picnic.

Therefore, if each student like at least one activity, the number of student that like both can be calculated as follows;

let

x = student that like both

75 = 50 + 50 - x

Therefore,

75 = 100 - x

75 - 100 = -x

-25 = -x

x = 25

Therefore, the number of students who like both are 25.

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