If a figure is similar by a scale factor
of 1/2, what does that mean?

First, flip the equation around.

3/5=4m

4m=3/5

Now simplify by dividing 4 from both sides.

4m=3/5

/4    /4

m=0.15 or 3/20

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hope it helps

The value of m will be equal to 3 / 20.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3 / 5 = 4m. The value of m will be calculated as:-

First, flip the equation around.

3/5=4m

4m=3/5

Now simplify by dividing 4 from both sides.

4m = 3/5

m = 0.15

m = 3/20

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Answer:

11: A. Some ferrets are longer than some fishers.

12: The range for the fisher is 25cm greater than for the ferret.

13. The mean for the ferret is 11cm less than for the fisher.

5. Probably 18 members.

6. Probably 210

Responda:

21 dias

Explicação passo a passo:

Total de dias necessários = 70 dias

Dias usados ​​no mês 1 = 25 dias

Dias usados ​​no mês 2 = 24 dias

Dias usados ​​no total = 24 + 25 = 49 dias

Dias restantes :

70 dias - 49 dias

= 21 dias

Answer:

(0.5, 1)

Step-by-step explanation:

The coordinates of the image of the point D (0.5, 2 ) are 0.5 and 2.

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that:-

The image of point D ( 0.5 , 2 ) is given so the coordinates of the point will be 0.5 and 2.

Hence the coordinates of the image of the point D (0.5, 2 ) are 0.5 and 2.

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Answer:

See Below.

Step-by-step explanation:

The first three terms of an A.P is equivalent to the first three terms of a G.P.

We want to show that this is only possible if r = 1 and d = 0.

If a is the initial term and d is the common difference, the A.P. will be:

[tex]a, a+d, \text{ and } a+2d[/tex]

Likewise, for the G.P., if a is the initial term (and it does not equal 0) and r is the common ratio, then our sequence is:

[tex]a, ar,\text{ and } ar^2[/tex]

The second and third terms must be equivalent. Thus:

[tex]a+d=ar\text{ and } a+2d=ar^2[/tex]

We can cancel the d. Multiply the first equation by -2:

[tex]-2a-2d=-2ar[/tex]

We can now add this to the second equation:

[tex](a+2d)+(-2a-2d)=(ar^2)+(-2ar)[/tex]

Simplify:

[tex]-a=ar^2-2ar[/tex]

Now, we can divide both sides by a (we can do this since a is not 0):

[tex]-1=r^2-2r[/tex]

So:

[tex]r^2-2r+1=0[/tex]

Factor:

[tex](r-1)^2=0[/tex]

Thus:

[tex]r=1[/tex]

The first equation tells us that:

[tex]a+d=ar[/tex]

Therefore:

[tex]a+d=a(1)\Rightarrow a+d=a[/tex]

Hence:

[tex]d=0[/tex]

Q.E.D.

Answer: I think the last one sorry of I am wrong

Step-by-step explanation:

Step-by-step explanation:

sorry dude my last brain cell ran after exam

Answer:

16.59

Step-by-step explanation:

πr^2/2

radius is 6.5/2 = 3.25

πx3.25x3.25/2= 16.59

Answer:

86.6 ft.

Step-by-step explanation:

Answer:The answer is (4 x -1)

Step-by-step explanation: How to solve this is tell the teacher I don’t know

it's 5 days, if you need an explanation feel free

Answer:

5 days

Step-by-step explanation:

for 100 people------------ last for 8 days

for 1 person-----------------last for 8x100=800 days

Therefore, for 160 people----------------last for(800/160)=5 days.

Answer:

If x = -0.25 and y = -6 then we have -6(-0.25) = 1.5

Hope this helps!

Answer:

Percent of change each year = 5%

Step-by-step explanation:

P.S - The exact question is -

Given - The number of carbon atoms in a fossil is given by the function,

             y (x)= [tex]5100(0.95)^{x}[/tex], where x represents the number of years since

             being discovered.

To find - What is the percent of change each year? Explain how you arrived

              at your answer

Proof -

Given that, the number of carbon atoms in a fossil is y(x) = [tex]5100(0.95)^{x}[/tex]

Initially, the number of fossils be

y(0) = [tex]5100(0.95)^{0}[/tex] = 5100

After 1 year, The number of fossils be

y(1) = [tex]5100(0.95)^{1}[/tex] = 5100(0.95) = 4845

Now,

Change in 1 year = y(0) - y(1) = 5100 - 4845 = 255

Now,

Percent of chance  = [tex]\frac{255}{5100}[/tex] × 100%

                                = 0.05 × 100%

                                = 5%

⇒Percent of chance = 5%

∴ we get

Percent of change each year = 5%

Answer:

Step-by-step explanation:

Given points:

Use distance formula:

Distance

n=61

Answer: 2 over 3 = 5 over 6 and the other answer is 6 over 6

Step-by-step explanation: Hope this helps

Answer:23.1 ft

Step-by-step explanation:

Given

Point is 15 ft away from the base of the flagpole

The angle of elevation is [tex]57^{\circ}[/tex]

from the figure, we can write

[tex]\Rightarrow \tan 57^{\circ}=\frac{Y}{15}\\\\\Rightarrow Y=15\times \tan 57^{\circ}=23.09\approx 23.1\ ft[/tex]

The length of the flagpole is 23.1 ft

Answer:

2.25

Step-by-step explanation:

I think it is this in fraction form 2 1/4

Answer:

Christina is incorrect.

Step-by-step explanation:

Since we are multiplying and our numbers are larger than 1, we know our product will be large. Your answer will be 575 :)

I hope this helps! :3

Answer: B

`sqrt(8x^3 + 24x^2 + 18x)` = `sqrt(8x (x + 3/2))` = `sqrt(2x (4x + 6))` = ±(4x + 6) `sqrt(2x)`

Answer:  x= -6; y= -1

Step-by-step explanation:

-4x + y = 23

4x - 9y = - 15

-4x + y = 23

      y = 23 + 4x     [Add 4x to both side]

4x - 9(23 + 4x) = - 15

4x - 207 - 36x = - 15

-32x - 207 = -15

-32x = 192             [Add 207 to both side]

    x = -6                [Divide -32 from both side]

-4x + y = 23

-4(-6) + y = 23          [Plug in -6 for x]

24 + y = 23              [Subtract 24 from both side]

       y = -1

Answer:

1296 sq inches

Step-by-step explanation:

To start, you need to get the total area of each individual roll of wrapping paper. To do this, you need to multiply the length x width, which would be 18 x 24 = 432. Then, you have three rolls so you mutiply that by three, which is 432 x 3 = 1296. You add the unit, and that leaves you with 1296 sq inches.

Answer:

21 < x < 27

Step-by-step explanation:

Given that :

Side 1 = 23

Side 3 = x

Side 2 = 2x - 4

23 + x > 2x - 4

Collect like terms

x - 2x > - 4-23

-x > - 27

x < 27

Also ;

23 + 2x - 4 > x

23 - 4 > x - 2x

21 > - x

-21 < x

x > - 21

Hence,

Possible values of x :

x > 21 and x < 27

21 < x < 27

Answer:

3/4 and 6/8 = 3/4 and 3/4

Step-by-step explanation:

1/4 and 1/8

2/4 and 3/8

3/4 and 6/8

3/4 and 7/8

Which pair of fractions are equivalent?

1/4 and 1/8

Not equivalent

2/4 and 3/8

Not equivalent

3/4 and 6/8

Divide both numerator and denominator of 6/8 by 2

3/4 and 3/4

Equivalent

3/4 and 7/8

Not equivalent

Answer:

C

Step-by-step explanation:

In total Devon can make 11 turkey burgers for a family cookout.

Given that, Devon bought a 4 pound 10 ounce package of ground turkey to make turkey burgers for a family cookout.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, a 4 pound 10 ounce

= 4×16 + 10

= 64 + 10

= 74 ounces

Devon wants to use about 7 ounces of turkey for each burger

So, number of burgers = 74/7

= 10.57

≈ 11

Therefore, in total Devon can make 11 turkey burgers for a family cookout.

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Answer:

Step by step

Step-by-step explanation:

Since we have the endpoints of the diameter, the midpoint coordinates of the line segment joining them gives the centre of the circle.

That is, centre (a,b) = ( [1+(-3)]/2, [4+2]/2) = (-1,3)

Distance between the given points give the diameter and half of that is the radius length.

So, radius r = (1/2)* sqrt ( [1-(-3)]^2 + [4–2]^2) = sqrt(5)

Thus equation required is: (x-a)^2 + (y-b)^2 = r^2

So, (x+1)^2 + (y-3)^2 = 5

The equation of the circle is (x + 1)² + (y - 3)² = 5

The endpoints of the diameter are given as:

(1, 4) and (−3, 2)

Start by calculating the midpoint using:

Midpoint = 0.5 * (x₁ + x₂, y₁ + y₂)

So, we have:

Midpoint = 0.5 * (1 - 3, 4 + 2)

Evaluate

Midpoint = (-1, 3)

So, the center (a,b) of the circle is:

(a,b) = (-1,3)

Calculate the length of the diameter using:

D² =(x₁ - x₂)² + (y₁ - y₂)²

This gives

D² = (1 + 3)² + (4 - 2)²

D² = 20

Take the square roots

D = 2√5

Divide by 2 to calculate the radius

r = √5

Square both sides

r² = 5

The equation of the circle is then represented as:

(x - a)² + (y - b)² = r²

This gives

(x + 1)² + (y - 3)² = 5

Hence, the equation of the circle is (x + 1)² + (y - 3)² = 5

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Answer:

g(x) = (1/4x)^2

Step-by-step explanation:

Given f(x), we want to get g(x)

As we can see, the point (4,1) lies on the graph of g(x)

So the correct option will be the one where g(4) = 1

Let us take a look at the second option

g(x) = (1/4x)^2

Here,

g(4) = (1/4 * 4)^1 = 1^1 = 1

Answer:

1) yes

2) no

3) no

4) yes

5) yes

6) no

6) 3 < x < 17

7) 3 < x < 15

Answer:

1.6

Step-by-step explanation:

The average of this ten number is (1+6+2+4+4+3+5+5+2+8)/10=4

So the MAD is (|1-4|+|6-4|+|2-4|+|4-4|+|4-4|+|3-4|+|5-4|+|5-4|+|2-4|+|8-4|)/10

=(3+2+2+0+0+1+1+1+2+4)/10

=1.6