A $20 bag of dog food was
discounted 5%. What is the total cost?

Answer:

54 in

Step-by-step explanation:

12 x 4= 48

1/2 ft= 6in

48 +6= 54

There are 54 inches in 4 1/2 feet.

We have,

To convert feet to inches, we know that 1 foot is equal to 12 inches.

To find the number of inches in 4 1/2 feet, we multiply the number of feet by 12 and add the number of inches.

4 feet multiplied by 12 inches/foot = 48 inches.

1/2 foot equals 1/2 multiplied by 12 inches/foot = 6 inches.

So,

4 1/2 feet is equal to 48 inches + 6 inches, which equals 54 inches.

Therefore,

There are 54 inches in 4 1/2 feet.

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Answer:

[tex]v = \frac{32\pi}{3}[/tex]

or

[tex]v=33.52[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x - x^2[/tex]

[tex]g(x) = x^2[/tex]

[tex][a,b] = [0,2][/tex]

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

[tex]\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx[/tex]

Integrate

[tex]v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx[/tex]

[tex]v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx[/tex]

Substitute values for a, b, f(x) and g(x)

[tex]v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx[/tex]

Evaluate the exponents

[tex]v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx[/tex]

Simplify like terms

[tex]v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx[/tex]

Factor out 8

[tex]v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx[/tex]

Integrate

[tex]v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0[/tex]

[tex]v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0[/tex]

Substitute 2 and 0 for x, respectively

[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])[/tex]

[tex]v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])[/tex]

[tex]v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ][/tex]

[tex]v = 8\pi [ \frac{16}{3} - \frac{16}{4} ][/tex]

Take LCM

[tex]v = 8\pi [ \frac{16*4- 16 * 3}{12}][/tex]

[tex]v = 8\pi [ \frac{64- 48}{12}][/tex]

[tex]v = 8\pi * \frac{16}{12}[/tex]

Simplify

[tex]v = 8\pi * \frac{4}{3}[/tex]

[tex]v = \frac{32\pi}{3}[/tex]

or

[tex]v=\frac{32}{3} * \frac{22}{7}[/tex]

[tex]v=\frac{32*22}{3*7}[/tex]

[tex]v=\frac{704}{21}[/tex]

[tex]v=33.52[/tex]

Step-by-step explanation:

1). 1

2). 36

3). 16

sorry I can't explain it properly, all you have to do is to dive the coefficient of x by 2 and square the result

Answer:

15 square miles

Step-by-step explanation:

For area you multiply length times width.

5×3 = 15

Given:

The given phrase is 16 seconds faster than Aya’s time.

To find:

The algebraic expression for the given phrase.

Solution:

Let x be the Aya’s time.

16 seconds faster than Aya’s time. It means 16 seconds less than Aya’s time.

We know that a negative sign "-" is used for less than.

16 seconds less than Aya’s time = [tex]x-16[/tex]

16 seconds faster than Aya’s time = [tex]x-16[/tex]

Therefore, the required algebraic expression is [tex]x-16[/tex].

Answer: 90 more tickets

Step-by-step explanation:

230 - 50 = 180

180 divided by 2 = 90 tickets

Answer:

2km/hr

Step-by-step explanation:

Given the following

Speed of boat in water = 5km/hr

Speed of boat against stream = 3km/hr

Since the speed of boat is going against that of the stream, hence, the speed of the stream will be the difference between the speed of boat and that when the boat is against the stream

Speed of stream = 5km/hr - 3km/hr

Speed of stream = 2km/hr

hence the required speed of stream is 2km/hr

Answer:

A i think

Step-by-step explanation:

Answer:

C - 129

Step-by-step explanation:

180-51=129

Answer:

87.3

Step-by-step explanation:

Answer:

85.3333333333

Step-by-step explanation:

add the number then divide them by the number u x them with

Answer:

34.48 maybe

Step-by-step explanation:

Answer:

Step-by-step explanation:

1450÷500%

1450÷5.0 = 290

Answer:

The answer is A

Step-by-step explanation:

The given function is  [tex]\dfrac{x^2}{49}+\dfrac{(y+1)^2}{4}=1[/tex] Thus, the graph of the function will be elliptical.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

The given function is

[tex]\dfrac{x^2}{49}+\dfrac{(y+1)^2}{4}=1[/tex]

The given function represents the equation of an ellipse.

Thus, the graph of the function will be elliptical.

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Answer:

it's C

and that is because it's 1313

The measure of angle G is 78 degree. for better understanding check the calculation here

From the given diagram the measure of angle I is 102 degrees.

In a cyclic quadrilateral,  the sum of opposite angles are supplementary .

The sum of opposite angles are equal to 180 degrees.

[tex]m < I +m < G = 180\\[/tex]

Substitute the value of angle I and solve for angle G

[tex]m < I +m < G = 180\\\\m < I=102\\102+m < G=180\\[/tex]

subtract 102 on both sides

[tex]102-102+m < G=180-102\\m < G=78[/tex]

The measure of angle G is 78 degrees.

Option C is correct

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Answer:

b, i think.

Step-by-step explanation:

Write both complex numbers in polar form: (exp(x) is the same as e ˣ)

z = 16 (cos(47°) + i sin(47°)) = 16 exp(i 47°)

w = 4 (cos(12°) + i sin(12°)) = 4 exp(i 12°)

→   zw = 64 exp(i (47° + 12°)) = 64 exp(i 59°)

→   zw = 64 (cos(59°) + i sin(59°))

Answer:

  1.  shifts the graph right 2 units

  2. y = -2(x -3)² +7

Step-by-step explanation:

1) Replacing x with x-h in any function shifts the graph h units to the right. Here, you have replaced x with (x-2), so the graph will be shifted 2 units to the right.

__

3) The vertex form of the equation of a parabola is ...

  y = a(x -h)² +k . . . . . . . . for vertex (h, k) and vertical scale factor 'a'

Here, the vertex is (h, k) = (3, 7), and the parabola opens downward. This tells us the sign of 'a' is negative.

The graph is not so clear that it is easy to read the value of 'a' directly from it, but there are several clues.

The zeros of the above function are found at h±√(k/a). This graph shows the zeros to be located such that √(7/a) is slightly less than 2. This means the magnitude of 'a' will be slightly more than 7/2² = 1.75. The y-intercept of the function is 7-9a. It is less than -7, but probably more than -14. This puts bounds on 'a':

  -14 < 7-9a < -7

  -21/9 < -a < -14/9   ⇒   -2.33 < -a < -1.56

If we assume that 'a' is an integer value, we have bounded its magnitude as being between 1.75 and 2.33, so a=-2 is a reasonable choice.

The equation of the graph may be ...

  y = -2(x -3)² +7

Answer:

the property that justifies the statement 17=17 is equality

Step-by-step explanation:

because it shows that it is equal

Answer:

D

Step-by-step explanation: i believe it is D

Answer:

138.23 is the circumference

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

If it's area, then:

area = 1519.76 in²

Step-by-step explanation:

radius = 44/2 = 22

area = πr² = (3.14)(22²) = 1519.76 in²

Answer:

6(m-1)

Step-by-step explanation:

See Image Below:)

Answer:

I am an anime weeb I have posters in my room

Step-by-step explanation:

Answer:

I'm definitely interested! I'm super new to anime, I just started watching MHA in April.

Answer:

the answer is B.

Step-by-step explanation:

W= median is 58

R= median is 81

81-58=23

The median number of books checked out at Ryder is 23 more than the median number of books checked out at Williams.

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

Let the data of Williams be represented as W

Now , W = { 63 , 56 , 60 , 55 , 62 , 55 }

And , the data of Ryder be R

where R = { 80 , 75 , 82 , 84 , 82 , 79 }

And , the median of Williams = (56 + 60) / 2 = 58

And , the median of Ryder is = 81

So , the difference of medians = 81 - 58 = 23

Hence , median number of books checked out at Ryder is 23 more than Williams

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Answer:

The volume of the bookshelf is 180000 cm³.

Step-by-step explanation:

The dimensions of the bookshelf are 40 cm, 50 cm and 900 mm.

We know that,

1 mm = 0.1 cm

900 mm = 90 cm

Now the dimensions become 40 cm, 50 cm and 90 cm.

The volume of the bookshelf can be calculated as :

V = lbh

Substitute all the values,

V = 40 cm × 50 cm × 90 cm

V = 180000 cm³

So, the volume of the bookshelf is 180000 cm³.

Answer:

10+5x

Step-by-step explanation:

5(2+x)

Distribute the 5

so 10+5x

Answer:

Look below

Step-by-step explanation:

First you multiply the top and bottom

5/12 x 6/7

5x6 and 12x7

you get your new fraction of 30/84

then you simplify it by 6 to get 5/14

hope this helps