The median weight of 15 dogs in a pet store is 12 pounds.
Which action could change the median?

Jessica needs another 52.8 cm^3 of material to make the other prism.

For a right triangular prism of base B, height H, and length L, the volume is:

V = (1/2)*B*L*H

Now, we know that the first triangle has a volume of 12.6cm^3, then we can write:

V = 12.6cm^3 = (1/2)*B*L*H

If we dilate the prism with a scale factor of 3, the new dimensions are:

B' = 3B

L' = 3L

H' = 3H

Then the new volume is:

V' = (1/2)*(3B)*(3L)*(3H) = 27*(1/2)*B*L*H

And (1/2)*B*L*H is the original volume, so we can write:

V' = 27*V = 27*(12.6cm^3) = 340.2 cm^3

And she has 300cm^3 and she used 12.6cm^3, so the amount of material that she has left is:

M = 300 cm^3 - 12.6 cm^3 = 287.4 cm^3

Then the amount of material that she needs is:

340.2 cm^3 - 287.4 cm^3 = 52.8 cm^3

So Jessica needs another 52.8 cm^3 of material to make the other prism.

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Answer:

substitute y = 4 into the expression⇒(2×4)+3=8+3=11

Step-by-step explanation:

The cost of a pen is $3.5 while the cost of a pencil is $7

Let the price of pen  be x

Let the price of pencil be y

If Julian was charged $40 for 4 pencils and 8 pens, then;

4y + 8x = 40

y + 2x = 10

y = 10 - 2x .............. 1

Similarly, if Estefania was charged $25 for 6 pencils and 2 pens, then;

6y + 2x = 25

Substitute 1 into 2 to have:

6(10-2x)+ 2x = 25

60 - 12x + 2x = 25

60-10x = 25

10x = 35

x = 3.5

Since y = 10 - 2x

y = 10 - 7

y = 3

Hence the cost of a pen is $3.5 while the cost of a pencil is $7

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Answer:

109,200 people

Step-by-step explanation:

First change all the percentages into decimals. Then multiply 108,000 by 1.077, because it is 7.7% of the population, while also including the original population. The product of this is 116,316. Then, if you want to find the percent decrease, it would be something out of 100, so 100-6.1=93.9. Changing that into decimal form, 0.939, and multiplying it by 116,316, you get 109,220, which rounds to 109,200.

Answer:

109200

Step-by-step explanation:

Answer:

g(x) has the greater value when x = 2, g(2) is 7 greater than f(2)

Step-by-step explanation:

From the graph, f(2) = 1

g(2) = 0.5(4)² = 8

So g(x) has the greater value when x = 2, g(2) is 7 greater than f(2)

Answer:

Distance between (-7, 8) and (6, 4)

= √ [ (4-8)^2 + (6-(-7))^2 ]

= √ [ (-4)^2 + (13)^2 ]

= √ [ 16 + 169 ]

= √ [ 185 ]

= 13.60

which is 14 units

Step-by-step explanation:

Brainiest?

Step-by-step explanation:

We can tell that x + 4 has the value of 17 by visualization.

[tex]\boxed{ \: \: \: \: \: \: x \: \: \: \: \: \: }\boxed{4}[/tex]

x is larger in length, we can identify that x has the value of 13 when 17 and 4 subtract.

Answer:

5280 feet

Step-by-step explanation:

Answer:

how many feet is a mile its 5280 feet

Step-by-step explanation:

Answer:

265.50000

Step-by-step explanation:

Answer:

The answer is 35 plants.

Step-by-step explanation:

The ratio of tomato plant to that of pepper plant = 2:5

Let x be the number of pepper plants for 14 tomato plants.

Now, according to the question:

2:5 = 14:x

14×5 = 2x

x = 70/2 = 35 plants.

Answer:

35 peppers

Step-by-step explanation:

Use cross multiplication

2 tomatoes/5 peppers = 14 tomatoes/x peppers

x peppers = (5*14) / 2 = 35

Answer:

The graph I put is what should match!

Step-by-step explanation:

Answer:

i don't know i can't read it please writ properly

Answer:

2x then 15x then 10

Step-by-step explanation:

Answer:

variables are: (x,y)

Step-by-step explanation:

and I am sorry that is all I know

Answer:

2x(x^3+4x^2+1)

Step-by-step explanation:

Answer:

2x(x³ + 4x² + 1)

Step-by-step explanation:

The coefficients are 2, 8, 2.

The GCF of the coefficients is 2

The variable parts are x^4, x^3, x

The GCF of the variable parts is x

The GCF of the entire polynomial is 2x

Now we factor out 2x:

2x^4 + 8x^3 + 2x​ = 2x(x³ + 4x² + 1)

Answer:

Answer:

Minimum Unit Cost = $14,362

Minimum Unit Cost = $14,0362

Answer:

8

Step-by-step explanation:

The formula for aera of a triangle is Square =1/2*base*height.

In the picture, the base of the triangle is 4, and the height of the triangle is 4, too.

Then we use the formula, the square of the triangle is 1/2*4*4=8

Answer:

3 3/8= 8×3+3=27/8

ans:27/8

2 4/1=4×2+1=9/4

ans:9/4

9 2/3=9×3+2=29/3

ans:29/3

Answer:

Step-by-step explanation:

The surface area of one ornament is twice the area of a cone with radius 2.4 inches and slant height 9.8 inches. The number of bottles of paint required will be found by dividing the total area to be painted by the area covered by one bottle.

__

The area formula for a cone is ...

  A = πr(r +s) . . . . . radius r, slant height s

The area of the double cone ornament will be ...

  A = 2(3.14)(2.4 in)(2.4 +9.8 in) = 183.8784 in²

The surface area of one ornament is about 183.9 square inches.

__

The surface area of 60 ornaments is ...

  60 × 183.8784 in² = 11,032.704 in²

The number of bottles of paint required is ...

  11,032.704 in²/(150 in²/bottle) = 73.55136 bottles

Tim will need 74 bottles of paint for 60 ornaments.

Answer:

that one before -1

Step-by-step explanation:

=============================================

Explanation:

Recall that the pythagorean trig identity is [tex]\sin^2 x + \cos^2x = 1[/tex]

If we were to isolate sine, then,

[tex]\sin^2 x + \cos^2x = 1\\\\\sin^2 x = 1-\cos^2x\\\\\sin x = \sqrt{1-\cos^2x}\\\\[/tex]

We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.

Through similar calculations, [tex]\cos x = \sqrt{1-\sin^2x}\\\\[/tex]

Cosine is also positive in this quadrant.

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

So,

[tex]\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}\\\\\frac{\sin x}{\sin x}+\frac{\cos x}{\cos x}\\\\1+1\\\\2[/tex]

Therefore,

[tex]\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}=2[/tex]

is an identity as long as 0 < x < pi/2

Answer:

2

Step-by-step explanation:

[tex]=\frac{\sqrt{1-cos^{2}x }}{sinx} +\frac{\sqrt{1-sin^{2}x } }{cosx} \\\\When \:0 < x < \frac{\pi }{2} \\\\=\frac{\sqrt{sin^{2}x } }{sinx} +\frac{\sqrt{cos^{2}x } }{cosx} \\\\=\frac{sinx}{sinx} +\frac{cosx}{cosx} \\\\=1+1\\\\=2[/tex]

Here we use the formula sin²x=1-cos²x and cos²x=1-sin²x.

Answer: 6

Step-by-step explanation:

i got the same question.

Answer: Should be 157.5 pages / 2.25 hours

Step-by-step explanation:

Step-by-step explanation:

98 - 3 * 2 * 4 equal to 9 - 2 * 840 + 9 - 6 equal to -7

The evaluation of 14(7) -d 2f when d = 2 and f = 4 is 82.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Given:

An expression,

14(7) -d 2f.

To find the value of the expression:

Substitute the given value of d and f.

When d = 2 and f = 4,

the equation is,

14(7) -(2)2(4)

= (14 x 7) - ( 2 x 2 x 4)

= 98 - 16

= 82

The evaluation of the equation when d = 2 and f = 4 is 82.

Therefore, the solution is 82.

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Answer:

True

Step-by-step explanation:

3x12=36

3x12=3636+12=48

3x12=3636+12=4848=48

Hecne, the equation is true.

Answer: The left side 48 is equal to the right side 48. So this means that 3 × 12 + 12=48 is TRUE!

Step-by-step explanation:

Answer:

Square, because the lengths are the same number and the area will never change no matter which two sides you use.

The answer to the given problem can be stated as, "The quadrilateral is most specifically a square because all of its sides are equal and angles are right angle."

A square is type of rectangle of which all sides are equal.

The diagonals of a square are perpendicular bisector of each other.

The given diagram of the quadrilateral clearly shows the following information,

All the angles of the quadrilateral are equal to right angle,

And, all of its sides are equal.

The given information matches with the property of a square which implies that the given quadrilateral is a square.

Hence, the given quadrilateral is a square.

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Answer:

2 kilograms =2000grams

2000grams - 125grams =1875grams

1875grams of grapes did Susan have left

Answer: x≤-6 or 0<x≤6.Option D.

Step-by-step explanation:

Given:

Subtract   from both sides,

0

Simplifying by taking common denominator:

0

Factoring numerator:

0

Computing the signs and selecting that one satisfies ≤ 0:

x≤ -6,0<x≤6.

Option D is the right answer.