Lisa is checking out at the bookstore. Each book (b) costs $1.50 and she has a $5 off coupon she can use. She wants to spend $25 or less in the bookstore. How many books can Lisa buy?

So, the definite integral  [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]

Given that

[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex]

We find

[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]

Definite integrals are integral values that are obtained by integrating a function between two values.

So, [tex]Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx[/tex]

So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6\int\limits^1_0 {x^{2} } \, dx[/tex]

Since

[tex]\int\limits^1_0 {x^{2} } \, dx = 13[/tex],

Substituting this into the equation the equation, we have

[tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74[/tex]

So, [tex]\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74[/tex]

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The value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.

A definite Integral is a difference between the values of the integral at the specified upper and lower limit of the independent variable.

The given function is;

[tex]\rm \int\limits^1_0 {x^2} \, dx=13[/tex]

Calculation of the value of the function by using integration;

[tex]\rm= \int\limits{(4-6x^2)} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6\int\limits^1_0 {x^2} \, dx \\\\=4 \int\limits^1_0 {} \, dx -6(13)\\\\ =4[x]^1_0-78\\\\= 4[1-0]-78\\\\=4-78\\\\=-74[/tex]

Hence, the value of the function [tex]\rm \int\limits{(4-6x^2)} \, dx[/tex] is -74.

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Answer:

700

Step-by-step explanation:

If you take 25 percent of a number and get 175, then what is that number? In other words, you know that 25 percent of a number is 175 and you want to know what that initial number is.

To solve this problem you multiply 175 by 100 and then divide the total by 25 as follows: (175 x 100) / 25

When we put that into our calculator, we get the following answer:

700

Answer: 700

Step-by-step explanation:

175 * 4 = 700

700 / 4 = 175

Answer:

4 red marbles

Step-by-step explanation:

green marbles = 9r

red marbles = r

9r + r = 40

10r = 40

r = 4 = red marbles

Answer:

36 ,36 30,2

Step-by-step explanation:

hope it's okay to you

Answer: -1

Step-by-step explanation:

Answer:

(-3, 7)

Step-by-step explanation:

ok so first take the square root of both sides, so you get (x-2)=5, since the square root gets rid of the power, and the square root of 25, is 5, and since we did a square root, we also have to do the - + thing, so the equation really is now x-2=(+-)5

subtract 2 from both sides, and you get x=(+-)5+2

Solving for x we get -5+2=-3

and also

5+2=7 since there was a positive, and a negative 5.

therefore x would equal (-3, 7)

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Answer:

<1 and <2

Step-by-step explanation:

Complementary angles are two angles which their measure add up to 90 degrees.

There are only one angle pair that meet this requirement:

angle 2 and angle 1

after 1 year he will get : 800 + 800 x 3,5% = 800 x 1,035 = $828

after 2 years he will get : 828 x 1,035 = 800 x 1,035 x 1,035 = 800 x 1,035²

so

after n years he will get : 800 x 1,035ⁿ

Answer:

Step-by-step explanation:

800 x 1,035ⁿ

Answer:

Hence corre ctophon is (A)

Answer: Leftmost vertex

Step-by-step explanation:

Answer: you literally said it yourself. its 36°

Step-by-step explanation:

Answer:225.25 or Mean

Step-by-step explanation: Put the sequence of numbers in order: 173,184,195,205,211,215,219,400

Cross of the end number each side until you have only 2 numbers:205,211

Add these numbers then divide them by 2: 205+211=416 416\2= 208

208 is the median

To find the mean is all of the numbers added together divided by the number of numbers: 173+205+195+215+219+184+211+400=1,802/8+225.25

Now compare the median:208 and the mean:225.25 to the sequence of numbers and see which one best describes the typical number of pages in the books. To do that you can subtract 173 from 400: 227

So the answer that's closest to 227 is 225.25.

I think anyway.

The mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.

Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Given the set of observations as :

173, 205, 195, 215, 219, 184, 211, and 400

Arrange the data in ascending order.

173, 184, 195, 205, 211, 215, 219, 400

Here n = 8 which is an even number

For finding the median we have to calculate the average of 205 and 211

Thus, the median is 208

When all the numbers are added up and divided by the total number of numbers, the mean is obtained:

⇒ 173 + 205 + 195 + 215 + 219 + 184 + 211 + 400

⇒ 1,802

⇒ mean = 1,802/8

⇒ mean = 225.25

In order to determine which figure accurately represents the median value of 208 to the mean value of 225.25.

To achieve it, divide 400 by 173, which equals 227.

Therefore, 225.25 is the answer that is closest to 227.

Hence, the mean and median of the given observation are 225.25 and 208 respectively and the value of the measure of the center would be 227 that best describes the typical number of pages in the books in this series.

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Answer:

Its A

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

You buy 10 pounds of bird seed at store A for $11.50 which means every pound is $1.15.

15 pounds of bird seeds store B for $19.50 is $1.30 per pound.

At store A = 20 * $1.15 = $23

At store B = 20 * $1.30 = $26

So, 26 - 23 = 3

Answer:

You would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

Step-by-step explanation:

Given:

You can buy 10 pounds of birdseed at Store A for $11.50

10 pounds – $11.50

[tex]\mathrm{\dfrac{ \$11.50 }{ 10\:pounds }}=\mathrm{\dfrac{ \$1.50 }{ 1\:pound }}[/tex]

1 pound – $1.15

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.15 = $23

20 pounds = $23

Your friend buys 15 pounds of birdseed at Store B for $19.50

15 pounds – $19.50

[tex]\mathrm{\dfrac{ \$19.50 }{ 15\:pounds }}=\mathrm{\dfrac{ \$1.3 }{ 1\:pound }}[/tex]

1 pound – $1.3

To find the value for 20 pounds, we do:

20 pounds = 20 × 1.3 = $26

20 pounds = $26

Now we compare each stores value for 20 pounds of bird seeds:

$23 < $26

The store with the better deal is: Store A

So, you would spend $3 less by buying 20 pounds of bird seeds at the store with the better deal.

Based on the scores in the final exam, the five number summary of the class is:

The minimum is the smallest score of 60. The maximum will be the largest score of 98.

The lower quartile can be found by the formula:

= (Second score + Third score) / 2

= (65 + 78) / 2

= 71.5.

The upper quartile is:

= (Third to last score + Second to last score) / 2

= (93 + 95) / 2

= 94

The median is:

= (5th score + 6th score) / 2

= (82 + 88) / 2

= 85

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Answer:

Answer is A

- 117

_______________________________________

Answer:

ay wee tologo bo sharmaine?

Answer:

Yes

Step-by-step explanation:

It is a first-degree equation. Look at the exponents of each variable (x, y), they are not written because they are 1

Hope this helps

The correct option for a regular hexagon is b) Each side of the model is

15 feet long. and c) The model is proportional to the original hexagon.

A regular hexagon is defined as a closed shape consisting of six equal

sides and six equal angles. The sum of the measure of angles of a

regular hexagon is 120 degrees.

It is given that a hexagon with side lengths of 2. 5 feet.

The scale factor is 6.

Since scale factor = new length/original length,

new length = scale factor × original length

                   = 6 × 2.5 feet

                   = 15 feet.

Also, each side of the hexagon increases by a constant factor of 6, the model is proportional to the original hexagon.

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Answer:

210 cm^3

Step-by-step explanation:

To find the volume of a regular we use the following formula:

l*w*h (l: length, w: width, h: height)

6*5*7 = 210 the volume is expressed with cm^3 so the answer is 210 cm^3

Answer:

d

Step-by-step explanation:

I mean the 1st and 2nd ones are unreasonable and 3 is jus unrealistic

Answer:

11.25 kg

Explanation:

1 bag of marbles → 45 grams

250 bags → (45 *250) = 11250 grams

Conversion:

1 kg ↔ 1000 grams

So,

11250 g → (11250/1000) kg = 11.25 kg

Answer:

11.25 kg

Step-by-step explanation:

One bag of marbles = 45 g

⇒ Weight of 250 bags of marbles = 250 × 45 = 11250 g

1000 g = 1 kg

⇒ 11250 g ÷ 1000 = 11.25 kg

Answer:

what do you want to know about linear equation?

Answer:

The answer would be 1/4% or 25%.

Step-by-step explanation:

The reason why is that there were 20 students in the class. 5 people wanted to work in groups. That is 25% of the students. That is why 25% or 1/4% is your answer.

Answer: 150 cubic feet

Step-by-step explanation:

Formula: area of base x height (length x width x height)

Volume of small rectangle: 5 x 2 x 3 = 30

Volume of large rectangle: 10 x 6 x 2 = 120

Add them together: 120 + 30 = 150

The parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.

A parabola is a collection of points on a plane that are all at the same distance from a particular point and line. The point is called the focus of the parabola while the line is called the directrix. The directrix is perpendicular to a parabola's axis of symmetry and does not contact it.

As we know that the directrix is perpendicular to the axis of the parabola, now since the directrix is at x=-4, the parabola will be horizontal and will be opening either towards the left or the right.

As it is given that the vertex of the parabola is at (0,0) and we know that the parabola can not touch the directrix, therefore, the parabola's vertex will be at (0,0) and will open towards the right side. As shown below.

Hence, the parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.

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Answer:

right

Step-by-step explanation:

Answer:

The interest earned is $96.60

Step-by-step explanation:

Since we are working the a simple interest problem, we will use the formula

[tex]I=Prt[/tex],

Where P represents the principal, r represents the rate as a decimal, and t represents the time in years. First, we need to change the 4.6% into a decimal by dividing by 100:

[tex]4.6\div 100 = 0.046[/tex]

From our given information and our decimal rate, we have:

[tex]P=1050\\r=0.046\\t=2[/tex]

Substituting these into our equation, we get:

[tex]I=1050(0.046)(2)\\I=96.6[/tex]

We write that as $96.60 in context of the problem.

Answer:

principle (p)=RS 1,050

Rate(R)=4.6

time(T)=2years

we know that

I=P×R×I/100

=1050×4.6×2/100

=9660/100

=96.6

therefore the earned simple interest is RS.96.6

The center of the data in the dot plot comes to be 3.

0 has 3 dots

1 has 2 dots

2 has 5 dots

3 has 4 dots

4 has 1 dot

5 has 6 dots.

Let us arrange these data in ascending order

0,0,0,1,1,2,2,2,2,2,3,3,3,3,4,5,5,5,5,5,5

Number of observations = 21

The Median is the middle number when observations are arranged in either ascending or descending order. Median is more informative than average.

So, the median will be the middle data = 11th data

11th data = 3 so median =3

Hence, the center of the data in the dot plot comes to be 3.

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Answer:

Hey Here Is Ur Answer

Step-by-step explanation:

3/5 + 1/3 = 14/15

5 3/5 ÷ 14/15 = 6

so

blue:red = 3/5 : 1/3 = 18/5 : 2

HOPE IT HELP U

3/5 + 1/3 = 14/15

5 3/5 ÷ 14/15 = 6

so

blue:red = 3/5 : 1/3 = 18/5 : 2                  

Answer:

Step-by-step explanation: