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Answer:

65.974 Square-miles

Step-by-step explanation:

We do 3.14*2^2=12.566

We then do 3.14*5^2=78.54

78.54-12.566=65.974

The change in the area of the circular oil spill is given by the equation

A = 65.973 miles²

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the change in area of circular oil spill be A

Now , the equation will be

The initial radius of the circular oil spill r = 2 miles

The increased radius of the circular oil spill R = r + 3

R = 5 miles

Now , the initial area of the circular oil spill = πr²

Substituting the values in the equation , we get

The initial area of the circular oil spill = 4π miles²

Now ,

The increased area of the circular oil spill = πR²

Substituting the values in the equation , we get

The increased area of the circular oil spill = 25π miles²

And , change in area of circular oil spill A = 25π miles² - 4π miles²

On simplifying the equation , we get

The change in area of circular oil spill A = 21π miles²

The change in area of circular oil spill A = 65.973 miles²

Therefore , the value of A is 65.973 miles²

Hence , the change in circular area is 65.973 miles²

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Answer:

T = 300 + 50x

Step-by-step explanation:

Tread mill calories burned = 300 calories

Weight lifting hours = x

Calories burned per hour during weight lifting = 50

Total calories burned :

Teadmill calories + weight lifting hours * calories burned per hour

T = 300 + 50x

Answer:

5

Step-by-step explanation:

Hi,

find the x- and y-intercepts:

10x + 4y = 20

finding x-intercept when y = 0

10x = 20  

x = 2  Pt(2,0) the x intercept

finding y-intercept when x = 0

4y = 20

y = 5  Pt(0,5) the y intercept

Answer:

less than I think

not sure tho

Answer:

Step-by-step explanation:

If a coordinate point (x, y) is dilated by a factor k, then the resulting coordinate will be (kx, ky)

Given the coordinate (4,1), if this coordinate is dilated by a factor of 2 then the new coordinate points will be at (2(4), 2(1))

New point = (8, 2)

Hence  x-coordinate of one of the the end point of the dilated segment is 8

Answer:

91.00

Step-by-step explanation:

I got you

9=-5b-23

9+23=-5b

32=-5b

32/-5=b. ..(here 32/-5= 32 upon -5)

-6.4=b

The required simplified value of b for the given expression is b = -2.8.

GIven that,
To determine the simplified value of b for the expression 9 = - 5b - 23.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
the given expression,

9 = - 5b - 23
Simplifying,
-5b = 23 - 9
-5b = 14
b = -14 / 5
b = -2.8

Thus, the required simplified value of b for the given expression is b = -2.8.

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Answer:

Step-by-step explanation:

The question didn’t display properly. I’m guessing he puts out 7⅗ pounds in the morning and 6⅘ pounds in the evening.

7⅗ + 6⅘ = 38/5 + 34/5 = 72/5 = 14⅖ pounds

Answer:

[tex]y = 3(7)^x[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (4,7203)[/tex]

Required

Determine an exponential function

Substitute 0 for x and 3 for y in [tex]y=ab^x[/tex]

[tex]3 = ab^0[/tex]

[tex]3 = a*1[/tex]

[tex]3 = a[/tex]

[tex]a = 3[/tex]

Substitute 4 for x and 7203 for y in [tex]y=ab^x[/tex]

[tex]7203= ab^4[/tex]

Substitute 3 for a

[tex]7203= 3*b^4[/tex]

Divide both sides by 3

[tex]2401= b^4[/tex]

Take 4th root of both sides

[tex]\sqrt[4]{2401} = b[/tex]

[tex]7 = b[/tex]

[tex]b = 7[/tex]

Substitute 3 for a and 7 for b in [tex]y=ab^x[/tex]

[tex]y = 3(7)^x[/tex]

Answer:

Equation is [tex]x+\frac{16}{3}=\frac{15}{2}[/tex] where [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

[tex]x=\frac{13}{6}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

Number of cups needed to make punch [tex]=7\frac{1}{2} =\frac{15}{2}[/tex]

Number of cups with Sam [tex]=5\frac{1}{3}=\frac{16}{3}[/tex]

Therefore,

[tex]x+\frac{16}{3}=\frac{15}{2}\\\\x= \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}[/tex]

Answer:

95

Step-by-step explanation:

if you see that line in between 90, 100 that is a five and it is past 90 making it 95

The measure of the angle from the given figure is 85°.

In the given figure, the measure of angle is given.

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

In the given figure, the ray is between 90° and 80°

So, the measure of the angle is 85°

Hence, the measure of the angle from the given figure is 85°.

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Answer:

n - 8 >= 10

n minus 8 is greater than or equal to 10

Eight less than a number " n" , is at least 10.

The inequality for this condition can be represented as

[tex]\bold{ { n-8\geq 10}}\\[/tex]

Hence option (2) is correct

To find out the expression for this inequality  let us consider that the number be ''n"

Since the actual number in the question is less than this number [tex]\rm n[/tex] by [tex]8[/tex] hence let the new number be [tex]\rm N[/tex]

From the given condition in the statement  we can write that

[tex]\rm N = n-8[/tex]

According to the condition given in the statement  we can write that

The value of [tex]\rm N[/tex] is at least  10. This means  the minimum value for [tex]\rm N[/tex] is 10.

This signifies that N can be any number with minimum value 10.

So the inequality for this condition can be represented as

[tex]\rm\bold{ { N\geq 10}}\\\bold{ { n-8\geq 10}}\\[/tex]

Hence option (2) is correct

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inFinite many solutions

Answer:

6+3x

You remove the parentheses and multiply

The correct answer is

Answer:

the answer should be square units

Step-by-step explanation:

I will solve your system by substitution.

(You can also solve this system by elimination.)

4x+y=17;4x−3y=−3

Step: Solve4x+y=17for y:

4x+y+−4x=17+−4x(Add -4x to both sides)

y=−4x+17

Step: Substitute−4x+17foryin4x−3y=−3:

4x−3y=−3

4x−3(−4x+17)=−3

16x−51=−3(Simplify both sides of the equation)

16x−51+51=−3+51(Add 51 to both sides)

16x=48

16/x = 48/16

(Divide both sides by 16)

x=3

Step: Substitute 3 for x in y=−4x+17:

y=−4x+17

y=(−4)(3)+17

y=5(Simplify both sides of the equation)

Answer:

x=3 and y=5

Answer:

In this question, we can use the Pythagorean theorem to solve for x.

11^2 + x^2 =24^2

x^2 = 24^2 -11^2

x is about 21.3

Let me know if this helps!

Answer:

The equation is:

y= 103 --23d

Step-by-step explanation:

The initial amount was 103 grams.

After one day of use the remaining amount of soap was 80 grams.

So the amount of time he spent in one day was:

Each day Leslie spends 23 grams of soap.

if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:

y= 103 --23d

Answer:

12-x

Step-by-step explanation:

Step-by-step explanation:

Easy steps!

Answer:

n = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-41 = -2/5(45n + 60) + n

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that -41 does indeed equal -41.

∴ n = 1 is the solution to the equation.

Answer:

13x+6

Step-by-step explanation:

remove parenthesis and add like terms

Answer:

∠P = 110º

∠Q = 70º

Step-by-step explanation:

we know that a straight line is equal to 180º and since we already have one angle (70º) all we have to do is subtract 70 from 180.

180 - 70 = 110º

we also know that vertical angles are congruent (the same) so we're already given angle q.

Answer:

both "h" are 90 °

both "2h" are 22.5 °

a quadrangle=360°, divide that by 4 to get the "h's" then divide 90 by 4 because "2h+2h"=4h which that equals 22.5

Step-by-step explanation:

hope this helps :D