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Answer:

12ft

Step-by-step explanation:

A prism is a 3D shape which has the same 2D shape repeated along its length (this is sometimes called the cross section).

The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the triangles.

The height of the prism is actually the length of the prism, so for this prism the height is 12 ft.

Answer:

120°=1

Step-by-step explanation:

step 1 do 2/1

step 2 cut braket and ans will be 53

Answer:

Step-by-step explanation:

A = 1/2 bh = 1/2 (12)(17) = 204 square inches

The general form of the exponential regression equation that models the number of bacteria  is y = ab^x

The exponential regression equation is y = 1910.38 * 1.1^x

The dataset is given as:

x     y

0    1892

1     2106

2    2342

3    2525

4    2819

5    3042

To determine the exponential regression equation, we make use of a graphing calculator.

From the graphing calculator, we have the following calculation summary

a = 1910.38

b = 1.10

An exponential regression equation is represented as:

y = ab^x

So, we have:

y = 1910.38 * 1.1^x

Hence, the exponential regression equation is y = 1910.38 * 1.1^x

Read more about regression equations at:

https://brainly.com/question/732489

Answer:

32.3m

Step-by-step explanation:

Use equation A = Ao(0.5)^(t/t½)

Now input values: 40 = 980(0.5)^(t/7)

rearrange for t: t = [7ln(2/49)]/ / ln(0.5). Then from here, you can extract 32.3 as your answer

Answer:

t = 32.3 min

Step-by-step explanation:

This is an example of half-life exponential decay.

For situations like this we have a formula.

[tex]N = N_{0} * (\frac{1}{2})^n[/tex]

N represents the end amount of parent element, N (naught) represents the starting amount of the parent element, and n being the amount half-lifes that have occurred.

Now n, can be broken down further into t/p, which means the time elapsed (t) divided by time it takes for one decay period (p), which essentially gives you the amount of half-lifes that have occurred. So you can represent the formula as:

[tex]N = N_{0} * (\frac{1}{2})^{t/p}[/tex]

The question tells you you start off with 980 grams of Element x, so put that for N naught. [tex]N = 980g * (\frac{1}{2})^{t/p}[/tex]. Then it tells you half-life is 7 minutes, which means the period it takes for one half-life to occur is 7, which is p. [tex]N = 980g * (\frac{1}{2})^{t/7min}[/tex]. You are also told that you end up with 40 grams, so put that in for N. [tex]40g = 980g * (\frac{1}{2})^{t/7min}[/tex]. Now we solve for t, the time elapsed.

(This is the part where you use logs to solve, but if you are still rough on this, I'll walk you through it)

Start off by dividing on both sides.

[tex]\frac{40g}{980g} = (\frac{1}{2})^{t/7min} \\, \frac{2}{49} = (\frac{1}{2})^{t/7min}[/tex]

Take the log of both sides.

[tex]log(\frac{2}{49}) = log( (\frac{1}{2})^{t/7min})[/tex]

Now we gotta get t out of the exponent, we'll do this by using log laws. More specifically the exponent law for log laws which states. [tex]log(b^x) = x*log(b)[/tex]. If we apply that to our situation like so.. [tex]log((\frac{1}{2})^{t/7min}) = \frac{t}{7min} * log(\frac{1}{2})[/tex]

Now our whole equation now looks like this:

[tex]log(\frac{2}{49}) = \frac{t}{7min} * log( \frac{1}{2})[/tex]

keep simplifying,

[tex]\frac{log(\frac{2}{49}) }{log(\frac{1}{2}) } = \frac{t}{7min}[/tex]

[tex]7min *\frac{log(\frac{2}{49}) }{log(\frac{1}{2}) } = t\\\\t = 32.3min \\[/tex]

Now you have your answer!

Answer:

Your answer would be 100

Step-by-step explanation:

4/5 of 100 is 80, 100 and 80 add up to 180, which makes it a supplementary angle, we know it is a supplementary angle because the figure has a line, so x = 100

Answer:

  3 tents hold 2 campers

Step-by-step explanation:

The given relations can be expressed as a single equation in the number of 2-camper tents.

__

Let x represent the number of 2-camper tents. Then the number of 4-camper tents is 6-x, and the total number of campers in tents is ...

  2x +4(6 -x) = 18

  -2x +24 = 18

  -2x = -6 . . . . . . subtract 24

  x = 3 . . . . . . . divide by -2

Exactly 3 tents hold 2 campers.

_____

Additional comment

The other 3 tents hold 4 campers.

Another way to consider this is to assume that all tents hold 2 campers, and then realize there are 18 -6×2 = 6 campers left over. If these are placed 2 per tent, then there will be 6/2 = 3 tents with 4 campers. The remaining 3 tents will have 2 campers.

Answer:

The answer would be A. (6, infinity)

Step-by-step explanation:

Domain is the x values in an equation, and range is the y values. From my understanding, the question is asking what domain range is the range, or y value, negative. The equation has an x intercept of 6, and it goes to the right for infinity. At x=7, y is -1/2.

I hope this helps!

Answer: 25

Step-by-step explanation: because 50% of 50 is 25

Answer:

The perimeter of the track is the two circumferences of the semicircles (when combined, they form one circle, so we can just find the circumference of the circle) added to the lengths of the rectangle (160 meters).

To find the circumference of the circle, we need to know the diameter.

Circumference of a circle: dπ or 2rπ, where d represents diameter and r represents radius

The diameter of the circle happens to be the same as the width of the rectangle. We know that the area of a rectangle is found by multiplying its length by its width. We know that the area is 14400 and that its length is 160.

Width: area divided by length

14400160=90

The diameter of the circle and the width of the rectangle is 90 meters.

Circumference:

90⋅π=90π→ If you are using an approximation such as 3.14 for π, multiply that by 90

Add 160⋅2 to the circumference since the lengths of the rectangle are also part of the perimeter.

160⋅2=320

The perimeter of the​ track is 548.4 meters.

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Given that, the area of the rectangle is 7,200 square meters.

From the figure, length of a rectangle = 120 meter

Here, area of rectangle = Length×Width

120×Width=7200

Width = 60 meter

So, diameter of semicircle is 60 meter.

Radius = 30 meter

Perimeter of track = Perimeter of rectangle + Circumference of two semicircle

= 2(120+60)+2πr

= 360+2×3.14×30

= 360+188.4

= 548.4 meters

Therefore, the perimeter of the​ track is 548.4 meters.

To learn more about the perimeter visit:

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Answer:

It should be $538 left after the bills

Answer:

Step-by-step explanation:

[tex]5m \times xm = 900 {m}^{2} \\ xm = \frac{900 {m}^{2} }{5m} \\ x = 180m[/tex]

Answer:

I think it would be 10

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Answer: The mode is 12 because it is repetitive among the numbers in the set of numbers.

Answer:

x =(7-√97)/-4= 0.712

Or

x =(7+√97)/-4=-4.212

Answer:

12 cans

Step-by-step explanation:

The area of the outside of the tank:

radio = half diameter = 4.5 ft.

base: [tex]A_{b} =\pi r^{2} =\pi (4.5)^{2} =20.25\pi[/tex]

Top: = base [tex]=20.25\pi[/tex]

cylinder: [tex]2\pi rh=2\pi (4.5)(16)=144\pi[/tex]

Total area to paint: [tex]144\pi +2(20.25\pi) =184.5\pi =579.6sq.ft.[/tex]

Number of cans of paint:

[tex]c=\frac{579.6}{50} =11.59=12[/tex]

Hope this helps

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number.

An equation is an expression that is used to show the relationship between two or more numbers and variables.

The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number. The equation for identity property is:

a * 1 = a

Find out more on equation at: https://brainly.com/question/2972832

Answer:

The answer is 2.4 x 10^6

Step-by-step explanation:

You're going to multiply 40,000 by 60

40,000*60=2400000

Therefore the answer in standard index form will be 2.4 x 10^6

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

Answer:

A & B

Step-by-step explanation:

15/20 is not equal

6/8 is not equal

30/50 is equal

12/20 is equal

Hey there!

3/5

= 3 ÷ 5

= 0.60

= 60%

• So, we’re looking for something that’s equivalent to 0.60 or 60%

Option A.
15/20

= 15 ÷ 20

= 15 ÷ 5 / 20 ÷ 5

= 3 / 5

= 3 ÷ 5

= 0.60

= 60%
So, Option A. could possibly be your equivalent to your fraction

Option B.
6/8

= 6 ÷ 8

= 6 ÷ 2 / 8 ÷ 2

= 3 / 4

= 3 ÷ 4

= 0.75

= 75%
So, Option B. isn’t equivalent because it’s too big and not what we’re looking for!

Option C.
30/50

= 30 ÷ 50

= 30 ÷ 5 / 50 ÷ 5

= 6 / 10

= 6 ÷ 2 / 10 ÷ 2

= 3 / 5

= 3 ÷ 5

= 0.60

= 60%
So, Option C. could possibly be your equivalent to your fraction.

Option D.

12/20

= 12 ÷ 20

= 12 ÷ 2 / 20 ÷ 2

= 6 / 10

= 6 ÷ 2 / 10 ÷ 2

= 3 / 5

= 3 ÷ 5

= 0.60

= 60%

So, Option D. could possibly be your equivalent to your fraction.

To sum it all up, your answer is:

Option B. 6/8

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

[tex]==================================[/tex]

the rule for the first sequence is "add 1"

so we add 1 in order to get to the next term.

the rule for the next sequence is "add 5"

here, we add 5 in order to get to the next term.

the rule for the next sequence is "subtract 2"

in this sequence, we subtract 2 every time.

the rule for the next sequence is "add 7"

so we add 7 (13+7 does equal 20):)

the rule for the fifth sequence is "multiply by 2"

so this is a geometric sequence, because we use multiplication in order to get to the next term.

the rule for the sixth sequence is "subtract 6"

- we subtract 6 each time :)

the rule for the 7th sequence is "add 2"

the rule for the 8th sequence is "subtract 3"

the rule for the 9th sequence is "multiply by 7"

[tex]\rule{200}{2}~\rule{100}{2}[/tex]

Let's write down the next 2 terms for each sequence.

(the terms are highlighted in bold)

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

4, 9, 14, 19, 24, 29, 34, 39

32, 30, 28, 26, 24, 22, 20, 18

6, 13, 20, 27, 34, 41, 48, 55

3, 6, 12, 24, 48, 96, 192, 384

36, 30, 24, 18, 12, 6, 0, -6

-13, -11, -9, -7, -5, -3, -1

48, 45, 42, 39, 36, 33, 30

1, 7, 49, 343, 2401, 16807, 117649

[tex]\rule{200}{2}[/tex]

Answer:

5

Step-by-step explanation:

19-14=5

for the Tape diagram just make 19 boxes and fill in 5.

Answer:

84

Step-by-step explanation:

1 year= 12 months

7 years × 12 months each= 84 months in total for 4 years

The range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.  

It is given that the function [tex]\rm y= e^4^x[/tex]

It is required to find the range of a function [tex]\rm y= e^4^x[/tex]

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

[tex]\rm y= e^4^x[/tex]

If we plot a graph of [tex]\rm y= e^4^x[/tex]:

When x = 0 then [tex]\rm y= e^4^\times^0[/tex] ⇒ 1

When x = 1 then  [tex]\rm y= e^4^\times^1[/tex] ⇒ 54.598  and so on.

The graph will exponentially go up as shown in the picture because the 'e' is the positive value(e=2.718) and the power of negative or positive values is never be a negative result.

Thus, the range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.  

Learn more about the function here:

brainly.com/question/5245372

Answer:

B, all real numbers less than 0

Step-by-step explanation:

edge 2022

Answer:

30, 40, 50, 60, 70

Step-by-step explanation:

Answer:

11 + x

Step-by-step explanation:

x + 11 can be reversed as 11 + x and it would still mean the same thing.

11x means 11 * x so does not match

11 + x and x + 11 same this is correct answer tho

last two are also same  11 - x  and -x +11

Answer: Deshi will have 302 marbles  and Elaheh will have 519.

Step-by-step explanation:

Deshi's Marbles will subtract 125.

427 - 125 = 302.

Elaheh's Marbles will add 125.

394 + 125= 519.

Answer:

  (a)  156 cm²

Step-by-step explanation:

The total surface area of the 12 blocks can be computed by first finding the surface area of one block. That result can then be multiplied by 12. The area of one rectangular prism is given by the formula ...

  A = 2(LW +H(L +W))

  A = 2(4·1 +1/2(4+1)) = 2(4 +5/2) = 13 . . . cm²

The area of 12 such prisms will be ...

  12 × (13 cm²) = 156 cm²

Victor needs 156 cm² of fabric to cover 12 blocks.

_____

Additional comment

This problem offers an opportunity to exercise your number sense. The area of the largest surface of one block is (4 cm)×(1 cm) = 4 cm². 12 of these surfaces will have an area of 48 cm². This is only part of the total area, so the only reasonable choice among those offered is 156 cm².

Answer:

156 cm² for K12