A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the other corner by running diagonally across the field. What is the distance from one corner of the field to the other corner? Answer choices are rounded to the nearest meter.

Answer:

9 days before only 8 mg is still emitting radiation.

Step-by-step explanation:

The exponential model is:

[tex]y(t) = a(0.5)^{\frac{t}{28}}[/tex]

In which a is y(0), that is, the initial quantity.

10 mg is ingested by a patient

This means that [tex]a = 10[/tex], and thus:

[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]

How many days before only 8 mg is still emitting radiation?

This is t for which y(t) = 8. So

[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]

[tex]8 = 10(0.5)^{\frac{t}{28}}[/tex]

[tex](0.5)^{\frac{t}{28}} = \frac{8}{10}[/tex]

[tex](0.5)^{\frac{t}{28}} = 0.8[/tex]

[tex]\log{(0.5)^{\frac{t}{28}}} = \log{0.8}[/tex]

[tex](\frac{t}{28})\log{0.5} = \log{0.8}[/tex]

[tex]\frac{t}{28} = \frac{\log{0.8}}{\log{0.5}}[/tex]

[tex]t = 28\frac{\log{0.8}}{\log{0.5}}[/tex]

[tex]t = 9[/tex]

9 days before only 8 mg is still emitting radiation.

Answer:

1586.91 m³

Step-by-step explanation:

From the diagram attached,

Applying,

A = πrl.................. Equation 1

Where A = surface area of the cone, l = slight heigth of the cone, π = pie.

make l the subject of the equation,

l = A/πr.............. Equation 2

From the question,

Given: A = 628.32 m², π = 3.14, r = 8 m

Substitite these values into equation 2

l = 628.32/(3.14×8)

l = 25 m

But,

l² = h²+r².................... Equation 3

Where h = height of the cone.

h = √(l²-r²)

h = √(25²-8²)

h = √(625-64)

h = √(561)

h = 23.69 m

Also Applying,

V = 1/3πr²h

Where V = volume of the cone.

Therefore,

V = (3.14×8²×23.69)/3

V = 1586.91 m³

Answer:

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Step-by-step explanation:

Given the following data;

Present value, P = $300

Interest rate, r = 8%

Number of times, n = 1/4

Note: Future value = 2 * P = 2*300 = $600

Compound interest is generally calculated based on the interest rate on a loan, principal and the accumulated interest gained from previous periods. This interest is compounded for a certain number of times such as daily, weekly, quarterly or annually.

To find how long she would have to invest her money in order to double it, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Answer:

121.50

Step-by-step explanation:

Let x be the earnings

2x+10 = 253

Subtract 10 from each side

2x+10-10 = 253-10

2x = 243

Divide by 2

2x/2 = 243/2

x = 121.50

Answer: 61/100 would be the answer

Answer:

88 degrees

Step-by-step explanation:

Since x and z have the same angel their degrees is the same

Answer:

(9,11)

(15,17)

(18,20)

Step-by-step explanation:

9-6=3

11-8=3

18-6=12

20-8=12

15-6=9

17-8=9

3*1=3

3*4=12

3*3=9

Answer:

We need more info

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

You have to add more context to your question.

Answer:

5x² - 10

Step-by-step explanation:

Step 1:

( [tex]3x^{2}[/tex] + 4x - 8 ) - ( [tex]-2x^{2}[/tex] + 4x + 2 )   Equation

Step 2:

3x² + 4x - 8 + 2x² - 4x - 2    Open Parenthises

Answer:

5x² - 10          Simplify

Hope This Helps :)

Answer:

5x² + 10

Step-by-step explanation:

Given Equation :-

( 3x² + 4x - 8 ) - ( -2x² + 4x + 2)

Solution :-

Step 1:- Remove unnecessary parantheses.

Step 2 :- arranging like terms.

Step 3 :- Calculate like terms.

Answer:

c > 5.28

Step-by-step explanation:

From the quadratic formula when the quantity under the square root sign, known as the determinant, is positive there will be two real solutions

b² - 4ac > 0

(-13)² - 4(8)c > 0

169 - 32c > 0

-32c > -169

c > 5.28125

Rounded

c > 5.28

Answer:

1 3/7

Step-by-step explanation:

5 / 7 ÷ ½

Copy dot flip

5/7 * 2/1

10 /7

Changing from an improper fraction

7/7 + 3/7

1 3/7

Answer:

13/16

Step-by-step explanation:

Answer:

4 cm

Step-by-step explanation:

The Area of a parallelogram is given by :

Area = base * height

Area = 120 cm² ; height = 30

Area = base * height

120 = base * 30

Base = 120 / 30

Base of parallelogram = 4 cm

Total number of plants,

= 13 + 2 = 15

Number of plants in a row = 3

Hence, Total Number of rows,

Therefore, he will have five rows.

Answer:

[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]

Step-by-step explanation:

Given

[tex](63.3\%,79.1\%)[/tex]

Required

Express in form of: [tex]p \± ME[/tex]

First, calculate the midpiont (p)

[tex]p = \frac{63.3\% + 79.1\%}{2}[/tex]

[tex]p = \frac{142.4\%}{2}[/tex]

[tex]p = 71.2\%[/tex]

The margin of error (ME) is:

[tex]ME =79.1\% - 71.2\%[/tex]

[tex]ME =7.9\%[/tex]

So, we have:

[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]

Answer:

hope it helps you see the attachment for further information

sorry but my phone couldn't captured r=2

Answer:

2/5

Step-by-step explanation:

The ratio is 5:2 , simplify an you'll get 1:2/5

Hello there I hope you are having a great day :) Cindy has a chocolate box whose length is 12 cm, height of 8 cm, and width of 6 cm. Find the volume of the box?

V = L x W x H

Volume = length x Width x Height.

12cm x 6cm x 8cm = V = 576cm^3

so the answer is 576cm^3

Hopefully that helps you :)

Step-by-step explanation:

VOLUME : is the quality of three deamination place enclosed by a closed surface it is the space that substance or shape or keep use or contains it is measured in cubic units

A RACTANGULAR :is a three dimensional figure it has length wind and height

let us analysis the problem above

length =12 cm

height = 8 cm

width=6 cm

v=1 x w x h

=(12 CM) x (8 CM) x (6 CM)

the value of the box is 576 CM ³

Answer:

2912

Step-by-step explanation:

the answer is 2912 toys.....

Answer:

120 degrees

Step-by-step explanation:

plugged into calculator

cos inverse of -1/2

Please mark Brainliest if you feel like it:)

Answer: 77

Step-by-step explanation:

Answer:

Step-by-step explanation:

W=[tex]\sqrt{x-a/a}[/tex]

squaring both sides

W^2=([tex]\sqrt{x-a/a}[/tex] )^2

W^2=x-a/a

wa=x-a

a=x-a/w

[tex] \boxed{\boxed{\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}}}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

Step-by-step explanation:

Perpendicular bisector of the chord connecting the the points (-1,2) and (2,3) is also passing through the center of the circle.

We'll find the equation of the line and solve the system to find the center.

Midpoint of the chord:

Equation of the line through chord (-1,2) and (2,3):

Perpendicular bisector is:

And the given line is:

Solve the system:

Find y:

The center is (-1, 7)

Find the radius, the distance from center to one of points on circle

The equation of circle is:

Hope This Helps!!!

Hope This Helps!!!Have A GREAT DAY!!!

Answer:

Approximately 92

Step-by-step explanation:

Using technology, the linear regression model obtained by fitting the data points is:

Y = 0.0914X1 - 0.3741

Where x = test score ; y = average sleep

Slope = 0.0914 ; intercept = - 0.3741

The test score of a student that sleeps 8 hours

y = 8

8 = 0.0914X1 - 0.3741

8 + 0.3741 = 0.0914X1

X = 8.3741 / 0.0914

X = 91.62

Answer:

[tex]s = - \frac{1}{4} [/tex]

Step-by-step explanation:

For m to be equal to n,

[tex]2s = \frac{2s- 1}{3} [/tex]

Multiply both sides by 3:

[tex]6s = 2s - 1[/tex]

Minus 2s on both sides:

[tex]4s = - 1[/tex]

Divide by 4 on both sides:

[tex]s = - \frac{1}{4} [/tex]