A leak springs from an oil tanker in the ocean, spreading oil from the boat in a circle. If the oil patch gets 5 inches wider a minute, how quickly is the area of the oil spill increasing when the patch is 20 feet wide

Answer:

➨ f(-1) = 0

Step-by-step explanation:

➨ Look at the table and compare.

Notice that when x = -1, f(x) = 0

f(-1) is like substituting x = -1 and get the f(x) value at x = -1.

Thus, f(-1) = 0

Part A: 5,333[tex]\frac{1}{3}[/tex] square yards

EX: The length of the football field is 100 yards. The width of the field is 53[tex]\frac{1}{3}[/tex] yards.

Part B: 1/10 inch per yard

EX: The scale used in the drawing is 1 inch to 10 yards. I can represent this ratio in several different ways: 1 inch to 10 yards, 1 inch : 10 yards, 1 in/ 10 yd or 1/10

Part C: 10 inches

EX: Set up a proportion where the numerators are the measurements in the scale drawing and the denominators are the actual measurements of the football field:

1 in. / 10 yd. =  × in. / 100 yd.

Cross multiply, and then divide both sides by 10 to solve for x:

100 = 10x

10 = x

Part D: 5 1/3

EX:  Use the actual width of 53[tex]\frac{1}{3}[/tex] yards and the scale to find the width of the field in the scale drawing.

Set up a proportion where the numerators are the measurements in the scale drawing and the denominators are the actual measurements of the football field:

1 in / 10 yd = 53[tex]\frac{1}{3}[/tex] yd

Cross multiply, and then divide both sides by 10 to solve for x:

10x = 53[tex]\frac{1}{3}[/tex]

x = 160/3 ÷ 10

x = 16/3

x = 5[tex]\frac{1}{3}[/tex]

Part E: 53 1/3

EX: In the scale drawing, the length of the football field is 10 inches and the width is 5[tex]\frac{1}{3}[/tex] inches. The area of a rectangle is length × width:

area = length × width

= 10 in. x 5[tex]\frac{1}{3}[/tex] in.

= 53[tex]\frac{1}{3}[/tex] sq. in. ( square inches)

Part F: The ratio is 1 square inch to 100 square yards

EX: The area of the football field in the scale drawing is 53[tex]\frac{1}{3}[/tex]  square inches.

The area of the actual football field is 5,333[tex]\frac{1}{3}[/tex] square yards.

The calculation for the ratio of the scaled area to the actual area is

53[tex]\frac{1}{3}[/tex] sq. in. / 5,333[tex]\frac{1}{3}[/tex] sq. yd. = 1 sq. in. / 100 sq. yd.

Step-by-step explanation:

Answer:

64º

Step-by-step explanation:

We can find ∠F by looking at triangle BDF. A triangle's interior angles add up to 80º. We know that ∠B=77º and ∠D=39º, and ∠B+∠D+∠F=180º. So, 77º+39º+∠F=180º. Therefore, 116º+∠F=180º, and ∠F=64º.

Based on the information given, the value of angle F is 64°.

From the information given, it was stated that angle A=74º, angle B=77º, angle C=70º, angle D=39º, and angle E=36º.

Therefore, the measure of angle F in degrees will be calculated thus:

B + D + F = 180°

77° + 39° + F = 180°

116° + F = 180°

F = 180° - 116°

F = 64°

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Answer: a. always true

Step-by-step explanation:

A plane is defined as a line and a point outside this line.

We know that for any set of two points, we can draw a line throug them.

Then if we have "3 points not in the same line" is equivalent to have two points in the same line, and the third point outside of it, then this is the definition of a plane.

Then the correct option is A, always true.

Answer:

15x-10=5

x=1

Step-by-step explanation:

hope it helps bro

Answer:

x=1

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

When a figure is dilated by a scale factor of 4, the new figure produced will be 4 times the size of the original figure. This means that, the size would change while the shape remains the same as the original figure.

Congruent figures must have the same shape and size.

Therefore, the figure produced when a dilation of scale factor of 4 is done is not a congruent figure. Rather, it is a similar figure.

So, get statement is FALSE.

its 56. please give brainliestStep-by-step explanation:

Answer:

It's A (4x^2-x) Got it on edge

Step-by-step explanation:

Answer:

x =22

Step-by-step explanation:

The two angles are corresponding angles , so the angles are equal

x+14 = 5x-74

Subtract x from each side

x+14-x = 5x-x-74

14 = 4x-74

Add 74 to each side

14+74 = 4x-74+74

88 = 4x

Divide by 4

88/4 = 4x/4

22 =x

Answer: 40%

Step-by-step explanation: Percent change=difference/original times 100.

2/5 times 100 is 40%

Answer:

32 + 14 = 46

Step-by-step explanation:

Nothing much to explain here, just normal addition..

Answer:

f(-2) = 13

g(4)  = -9

Explanation:

Whenever a question is asking you to find something like, in this example, f(-2) or g(4), you have to substitute whatever number is in the parentheses for every x in the function with that letter.

Let's try to find f(-2). We have to substitute -2 for every x in the function f and simplify:

[tex]f(-2) = -2 (-2)^{3} -3\\f(-2) = -2(-8)-3\\f(-2) = 16 - 3 \\f(-2) = 13[/tex]

Therefore, [tex]f(-2) = 13[/tex].

Next, let's try to find g(4). We have to substitute 4 for every x in the function g and simplify:

[tex]g (4) = -2(4) - 1\\g(4) = -8-1\\g(4) = -9[/tex]

Therefore, [tex]g (4) = -9.[/tex]

Answer:

b i think

Step-by-step explanation:

because you divide y by 2 to get x

Answer:

Concept: Linear systems

Answer:

Overall, the steps for algebraically finding the range of a function are:

1.Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

2.Find the domain of g(y), and this will be the range of f(x).

3.If you can't seem to solve for x, then try graphing the function to find the range.

Step-by-step explanation:

Answer:

Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).

Find the domain of g(y), and this will be the range of f(x).

If you can't seem to solve for x, then try graphing the function to find the range.

Step-by-step explanation:

Answer:

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

Step-by-step explanation:

Step(i):-

Given Ellipse   9 x² + 4 y² = 36

                     [tex]\frac{9x^{2} }{36} + \frac{4y^{2} }{36} =1[/tex]

               ⇒     [tex]\frac{x^{2} }{4} + \frac{y^{2} }{9} = 1[/tex]

Step(ii):-

  The Major axis lies on y-axis

   Foci of the Formula C² = a² -b² = 9-4 =5

                                 C = √5

The Foci is always lie on the major axis(longest) axis, spaced equally each side of the centre

Given ellipse of the foci is lie on Y- axis

Final answer:-

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

Answer:

its 2nd one

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Brian gets 5x and Colin gets x amount.

Brian gets 60 more than Colin, so you get:

5x - x = 60

Simplify to get:

4x = 60

Divide both sides by 4:

x = 15

Brian gets 5x = 5(15) = 75

Colin gets x = 15

75 + 15 = 90

The total amount they get is £90

Answer:

$6.03

Step-by-step explanation:

cost of oranges per pound: .99

banaenaes: 1.39

you need to find the total cost for prestons bananas plus his oranges

oranges: .99 x 2.3 = 2.277

bananas: 1.39 x 2.7 = 3.753

2.277+3.753= $6.03

Answer:

0.8

Step-by-step explanation:

Answer:

$3.00

and haha funny number

Answer: -2.4, -2.25, -11/5, 15/10, 1.6

Step-by-step explanation:

The lowest number would be -2.4. Before you put these numbers in order you will have to convert the -11/5 into -2.2, and the 15/10 into 1.5. After doing this you can put the numbers in order from the lowest of -2.4 the -2.25 the -2.2 and then the numbers switch to positive and 15/10 and then final the highest of 1.6

Answer:

2,4, 2.25, -11/15, 15/10, 1.6

Answer:

0.55 and 55%

Step-by-step explanation:

Answer:

0.55

55%

Step-by-step explanation:

11/20= 0.55

times 100

55%

Answer:

Step-by-step explanation:

1/4 * 2/5 =  2/20 = 1/10  :)

1,-4 sorry if wrong :(

Step-by-step explanation:

1.3x+2y=13

3x+2y+-2y=13+-2y

3x=-2y +13

3x/3=2y+13/3

The answer is x= -2/3 y+13/3

2.x= -2/3 y+ -1/3 z +13/3

3.x= -1/5 y +9/5

Answer:

x=74

Step-by-step explanation:

180-106=74

plss mark brainliest

Answer:

10/14 or 0.71428571428 or 71.428571428571%

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

The required value of XQ is 9 units if MQ= 3x-3 and XQ= 2x-6.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment MQ, where the length of line segment XQ refers to the distance between its endpoints, M and Q.

Given that X is the midpoint of MQ

MQ= 3x-3 and XQ = 2x-6

M______________X______________Q

Since M is the midpoint of XQ, So XQ = 2MQ

⇒ MQ = 2XQ

Substitute the values of MQ= 3x-3 and XQ= 2x-6,

⇒ 3x -3 = 2(2x-6)

⇒ 3x -3 = 4x - 12

⇒ 4x - 3x = 12 - 3

⇒ x = 9

Substitute the values of x = 9 in XQ = 2x-6

So XQ = 2(9) - 6 = 18 - 6 = 12

Hence, the required value of XQ is 9 units

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Answer:1.00

Step-by-step explanation:

A=74-72/2.0

And I did it on kahn

The z - score for the Stephanie’s exam grade will be 1.

What is Standard deviation?

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given that;

The grades on a physics midterm at Covington are roughly symmetric with μ = 72 and σ = 2.0.

And,  Stephanie scored 74 on the exam.

Now,

The formula for the z - score = ( X - μ ) / σ

Substitute all the values, we get;

The z - score for the Stephanie’s exam grade = ( 74 - 72 ) / 2.0

                                                                       = 2 / 2

                                                                       = 1

Thus, The z - score for the Stephanie’s exam grade will be 1.

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Answer:

1.2 meters

Step-by-step explanation:

0.1 meters= 10 centimeters