The amount c in grams of a 100 gram sample of carbon-14 remaining after t years is represented by the equation c= 100 (0.99988)t use a calculator to find the amount of carbon-14 remaining after 4 years

Answer:

30

Step-by-step explanation:

2     30

--- = --

?     450

same explanation as the other problem I helped you with :)

Answer:

r= 18

Step-by-step explanation:

use the Pythagorean theorem to solve this

[tex]r^{2} +24^{2} =(r+12)^{2}[/tex]

[tex]r^{2}+576=r^{2} +24r+144[/tex]

-144                  -144

[tex]r^{2}+432=r^{2} +24r[/tex]

-[tex]r^{2}[/tex]               -[tex]r^{2}[/tex]

[tex]432=24r[/tex]

/24     /24

18=r

Answer:

The growth function:

y=3600(1.04)^t

The population in 2025:

7,888

Step-by-step explanation:

I'm not sure if this is what you asked for, but I did this in my class with my teacher (algebra)

Answer:

[tex]a_{n}[/tex] = 6n - 5

Step-by-step explanation:

There is a common difference d between the consecutive terms, that is

d =7 - 1 =  13 - 7 = 19 - 13 = 25 - 19 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6, thus

[tex]a_{n}[/tex] = 1 + 6(n - 1) = 1 + 6n - 6 = 6n - 5

Answer:

Step-by-step explanation:

t1 = 1 = 6 * 1 - 5

t2 =7 = 6 * 2 - 5

t3 = 13 = 6 * 3 - 5

t4 = 19 = 6*4 - 5

t5 = 25 = 6*5 - 5

-------------------------

Tn = 6n - 5

Hope it helped :)

Answer:

95%

Step-by-step explanation:

In this case we can apply a formula that tells us that:  

# (AUB) = #A + #B - #AnB  

Where A would be the ones who enjoy swimming and B would be the ones who enjoy running. AnB is the intersection of both sets, that is, those who enjoy doing both things, these values we have, if we replace them we have left:

#(AUB) = 80% + 70% - 55%

#(AUB) = 95%

Which means that 95% of people enjoy either swimming or running

The percentage of people who enjoy swimming and/or running is calculated to be 95%.

We have 80% of people who enjoy swimming, and 70% who enjoy running, with a 55% overlap of people who enjoy both.

The formula for the principle of inclusion-exclusion is:

Union = A + B - Intersection

Therefore, the percentage of people who enjoy swimming and/or running is:

Union = 80% + 70% - 55% = 95%

Hence, 95% of people enjoy at least one of the two activities.

Answer:

w = 7, 1

Step-by-step explanation:

A perfect square is shown by a²-2ab+b²

If you substitute the question into the formula you get:

w²-(2×4×w)+4²

Simplify and you get:

w²-8w+16=9

Factor:

(w-4)²=9

Square Root both sides:

w-4=±3

w=7, w=1

Answer:

18π

Step-by-step explanation:

You have to multiply the height and the width together and then multiply by pi but since it is in terms of pi it is 18π

The volume of the cone is 18π

Option A is the correct answer.

It is a shape of a christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is V = (1/3)πr²h

We have,

The formula for the volume of a cone is:

V = (1/3)πr²h

where V is the volume, r is the radius, and h is the height.

Plugging in the given values, we get:

V = (1/3) x π x 3² x 6

V = 18π

Therefore,

The volume of the cone is 18π

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Answer:3.1105

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

if x= 4; 2x+1

2(4) + 1

8 + 1

9

Answer: B & E

i just took it

Step-by-step explanation:

Answer:

the answer is B and E

Step-by-step explanation:

I just took it on edg

Answer:

210

Step-by-step explanation:

360-150

think about it like going the opposite direction on a circle.

if you are on a 1 mile trail that is a circle at the starting point and you walk right to get to a marker that is half way, if you went left, the marker would be 0.5 miles the opposite direction.

Answer:

1 hour and 30 minutes

Step-by-step explanation:

Answer:

the answer to this is  1 hour and 30 minutes

Step-by-step explanation:

my exlanation is one hour from 6:45 is 7:45 15 minutes until 8:00 then 15 more minute until she gets picked up. I HOPE THIS HELPS AND PLZ AND KINDLEY MARK ME BRAINLIEST HAVE A GOOD REST OF YOUR DAY =)

Answer: The volume is 128pi cm or 402.12 cm. To increase the volume you can double the height, double the radius, double the radius but half the height, and make the radius and height both 6 cm.

Step-by-step explanation:

To find the volume of the cylinder, use the equation [tex]\pi r^2h[/tex]. After plugging everything in, the equation is [tex]\pi (4^2)*8[/tex]. [tex]4^2[/tex]=16. 16*8=128. If you need a more accurate answer, multiply by pi to get 402.12 cm.

Doubling the height creates a volume of 256pi cm.

Doubling the radius creates a volume of 512pi cm.

Doubling the radius and halving the height creates a volume of 256pi cm.

Making both the radius and height 6 cm creates a volume of 216pi cm.

Answer:

1, 2, 4, 5

Step-by-step explanation:

your welcome.

Answer:

7

Step-by-step explanation:

2n + 4n = 6n, adding like terms

6n = 42

6n/6 = 42/6

n = 7

Answer: 7

Step-by-step explanation:

4x7= 28 and 2x7=14

14+28= 42

Answer:

Step-by-step explanation:

Ms. Roa's monthly internet payment, being constant, would be represented by a horizontal line on a graph with time (months) on the X-axis and cost on the Y-axis. The consistency of the payment amount regardless of time represents a constant rate, demonstrated graphically.

The subject of your question involves mathematics, specifically, the concept of the relationship between constant costs and time, which can be demonstrated using linear graphs. In Ms. Roa's case, she pays the same amount each month for internet service. This means that the cost per month is constant, so if you make a graph showing time on the X axis (in months) and cost on the Y axis, you would see a straight horizontal line, indicating that the cost does not change over time.

For example, if Ms. Roa pays $50 each month, then every point on the line will be at Y = 50 (for cost), regardless of the X value (time). The concept of a constant rate is important in understanding the relationship between different quantities, and is commonly used in Displaying Data Graphically and Interpreting the Graph.

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Answer: The rule for the second question is multiple by 2

Step-by-step explanation:

Answer:

3 = 105

4 = 140

5 = 175

12 = 420

You have to multiply the 35 by what every number is on top. Like 4 for example, 35 x 4 = 140.

The radius of the hemisphere is 45 cm

Explanation:

Given:

Volume of the hemisphere, V = 60750π cm³

Radius of the hemisphere, r = ?

We know:

Volume of hemisphere = [tex]\frac{2\pi r^3 }{3}[/tex]

[tex]60750\pi = \frac{2\pi r^3 }{3} \\\\r^3 = 91125\\\\r = 45[/tex]

Therefore, the radius of the hemisphere is 45 cm

The radius of the hemisphere is 45 cm

The volume of a hemisphere is given by the formula

[tex]V = \frac{2}{3} \pi r^{3}[/tex]

Where V is the volume

and r is the radius

From the question,

V = 60750π cm³

Putting this into the formula,

We get

[tex]60750\pi = \frac{2}{3}\pi r^{3}[/tex]

∴ [tex]r^{3}= \frac{60750\pi \times 3}{2\pi}[/tex]

[tex]r^{3}= 91125[/tex]

∴ [tex]r =\sqrt[3]{91125}[/tex]

r = 45 cm

Hence, the radius of the hemisphere is 45 cm

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Answer:1920

Step-by-step explanation:

Answer:  1920

Step-by-step explanation:

Given:

Deposit = $7500

Rate of interest = 2.75%

Time = 4 years

Compounded monthly

n = 12

To find:

The balance in the account after 4 years

Solution:

Compound interest formula:

[tex]$A=P\left(1+\frac{r}{n}\right)^{n t}[/tex]

Here P = $7500, r = 2.75%, n = 12 and t = 4.

[tex]$A=7500\left(1+\frac{2.75\%}{12}\right)^{12\times 4}[/tex]

To convert percentage into fraction, divide by 100.

[tex]$A=7500\left(1+\frac{\frac{2.75}{100} }{12}\right)^{48}[/tex]

[tex]$A=7500\left(1+\frac{0.0275 }{12}\right)^{48}[/tex]

[tex]$A=7500\left(\frac{12+0.0275 }{12}\right)^{48}[/tex]

[tex]$A=7500\left(\frac{12.0275 }{12}\right)^{48}[/tex]

[tex]$A=8371.03[/tex]

The balance in his account after 4 years is $8371.03.

Answer:

The angles across from the sides are related. The angle across from the side labeled 10 inches will be the largest angle and the angle across from thr side labeld 6 inches will be the smallest.

Answer:

[see explanation]

Step-by-step explanation:

There are 9 numbers on the dice. (One number for each side.)

Total Number of events: 9

There are 2 numbers that are greater than seven.  (8 and 9)

Preferred number of events: 2

[tex]\frac{preferred}{total} =\frac{2}{9}[/tex]

[tex]\frac{2}{9}[/tex]  is already at it's lowest terms.

The probability should be 2/9.

The probability of rolling a number greater than 7 on a 9-sided die is 2/9 or approximately 22.2%.

In the language of probability, an event is any outcome or combination of outcomes. The probability of any event is normally calculated by dividing the number of ways that the event can occur by the total number of outcomes. In this problem, a die with 9 sides is rolled once, giving a total of 9 possible outcomes (the numbers 1 to 9). The event in question is rolling a number greater than 7, which consists of two outcomes: 8 and 9. So, the probability of this event is

Number of ways the event can occur / Total number of outcomes = 2 / 9 = 0.222 (to three decimal places), or approximately 22.2%.

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Answer:

For 70, 35, 55, 10, 43, 25, 80

Scale

I small square= 1 unit

For 4,700; 2,000; 3,400; 1,650; 2,800

I small square=100 unit

Step-by-step explanation:

We choose a scale such that all the points can be plotted on the graph.

For 70, 35, 55, 10, 43, 25, 80

the range of data is from 10 to 80

so if we choose I small square= 1 unit, we will be able to plot all the points on the graph.

For 4,700; 2,000; 3,400; 1,650; 2,800

the range of data is from 1600 to 4700

If we choose I small square=100 unit, we will be able to plot all the points on the graph with 1650 plotted in the middle of a small square.

Answer:

  A) b > 10

  B) none

  C) b ≤ 10

Step-by-step explanation:

For the purpose of this answer, we assume ABC is a triangle if and only if all angles and side lengths have measures greater than 0, and the sum of angles is exactly 180°.

The fact that B = 150° means A+C = 30°. That is, 0 < A < 30°. Taking the sine of A, we have ...

  0 < sin(A) < 1/2

The Law of Sines tells us ...

  sin(A)/a = sin(B)/b

  sin(A) = a·sin(B)/b = 10·(1/2)/b = 5/b

Substituting this into the inequality for sin(A), we get ...

  0 < 5/b < 1/2

  0 < 10 < b . . . . . multiply by 2b (which is > 0)

In order to form a triangle, the value of b must be greater than 10. In that case, there will always be only one value for A:

  A = arcsin(5/b) . .  . . b > 10

__

For b = 10, the "triangle" is a straight line, a disallowed condition. That is A will have no allowed value.

For b < 10, A > 30°, which forces C < 0°. This is also a disallowed condition. So we can say ...

  b ≤ 10, A has no allowed value

_____

The attached diagram shows triangle ABC. Point A can be anywhere on ray BA. As segment c gets longer, angle C increases from near 0 to near 30°. At the same time, angle A decreases from near 30° to near 0°. When b=10, c=0, and the figure is not a triangle. Nor is it a triangle for b < 10.

Answer:

K(-1)=6

Step-by-step explanation:

t=-1

2 times -1 squared

-1 squared=1

2x1 = 2

2+4=6

K(-1)=6

Given:

Surface area = 4,362 yards

Length = 36 yard

Width = 21 yard

Height = c

To find:

Volume of the rectangular prism.

Solution:

Surface area formula:

[tex]SA = 2(lw+wh+lh)[/tex]

Substitute the given values.

[tex]4362 = 2(36\times21 +21 \times c+36 \times c)[/tex]

[tex]4362 = 2(756+21 c+36 c)[/tex]

[tex]4362 = 2(756+57c)[/tex]

[tex]4362 = 1512+114c[/tex]

Subtract 1512 from both sides.

[tex]4362- 1512 = 1512+114c - 1512[/tex]

[tex]2850=114c[/tex]

Divide by 114 on both sides, we get

25 = c

Height = 25

Volume = length × breadth × height

             = 36 × 21 × 25

             = 18900

Volume of rectangular prism is 18900 cubic yards.

Answer:

supplementary angles

Step-by-step explanation:

one angle is an obtuse angle

and another angle is an acute angel.

Answer:

19

Step-by-step explanation:

79, 27, 24, 11, 14, 11​

rearrange the order

from lowest to highest

11, 11, 14, 24, 27, 79

Find the middle.

It is between 14 and 24

Take the average.

Average here = median = (14 + 24)/2 = 38/2 = 19

Final answer:

The median of the data set (79, 27, 24, 11, 14, 11) is found by first arranging the numbers in ascending order, and then taking the average of the two middle numbers, which yields a median of 19.

Explanation:

The median is the middle value of an ordered data set. To find the median, we first need to arrange the numbers in ascending order. The set of numbers given are 79, 27, 24, 11, 14, 11. Arranged in order they are 11, 11, 14, 24, 27, 79.

Since there are 6 values (an even number), we take the average of the two middle numbers. In this case, the two middle numbers are 14 and 24. Hence, we calculate the median as follows:

(14 + 24) / 2 = 38 / 2 = 19.

Therefore, the median of this data set is 19.

Answer:

A, B, C & D

Step-by-step explanation:

Expand and see which is is equivalent to the given expression.

25 cause when i put in the answer it was right

Answer:

its a on edg

Step-by-step explanation:

Answer:

y = -(5/2)x - 1

Step-by-step explanation:

slope intercept form is y = mx + b

m is the slope

b is the y intercept

The y intercept is shown to be (0,-1), so b = -1

The equation is now y = mx -1

slope= rise/run

The rise is (4-(-1))=5

The run is (-2-0)=-2

5/-2 is the slope (m)

The equation is y = -(5/2)x - 1

Answer:

y = -5/2 x-1

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (-1 -4)/(0--2)

   = (-5)/+2

   = -5/2

We know the y intercept is -1 since that is where it crosses the y axis

We will use the slope intercept form of the equation

y= mx+b  where m is the slope and b is the y intercept

y = -5/2 x-1