Saif is building a rectangular pen for his dog. the dimensions are 15 units long and 7 units wide. saif is building a second pen that is 75% the length of the original and 125% the width of the original. write an equation to determine the length of the second pen. what is the length of the second pen? . .

Answer:

mean = 3.5

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] = [tex]\frac{1+2+3+4+5+6}{6}[/tex] = [tex]\frac{21}{6}[/tex] = 3.5

Answer:

The mean of 1 , 2 , 3 , 4 , 5 , 6 is 3.5

Given :

The observations 1 , 2 , 3 , 4 , 5 , 6

To find :

The mean of 1 , 2 , 3 , 4 , 5 , 6

Solution :

Step 1 of 2 :

Calculate sum of the observations

Here the given observations are 1 , 2 , 3 , 4 , 5 , 6

Number of observations = 6

Sum of the observations

= 1 + 2 + 3 + 4 + 5 + 6

= 21

Step 2 of 2 :

Find the mean

The required mean

Let's see

For initial cone

Volume

For new cone

Volume

So

Answer:

16 times

Step-by-step explanation:

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

If only the radius is changed, the change in volume will be proportionate to the multiplicative factor squared.

[tex]\sf \implies Volume =\dfrac{1}{3} \pi (ar)^2h=\dfrac{1}{3} \pi (a^2)r^2h[/tex]

Therefore, if the cone is quadrupled (multiplied by 4), the volume of the larger cone will be 4² times greater than the volume of the smaller cone, so 16 times greater than the smaller cone.

Given:

Substituting the given values into the formula:

[tex]\sf \implies Volume =\dfrac{1}{3} \pi (6)^2(9)=108 \pi \: \:cubic\:units[/tex]

If the radius is quadrupled:

Substituting the new given values into the formula:

[tex]\sf \implies Volume =\dfrac{1}{3} \pi (24)^2(9)=1728 \pi \: \:cubic\:units[/tex]

To find the number of times greater the volume of the large cone is than the volume of the smaller cone, divide their volumes:

[tex]\sf \implies \dfrac{V_{large}}{V_{small}}=\dfrac{1728\pi}{108\pi}=16[/tex]

So the volume of the larger cone is 16 times greater than the volume of the smaller cone.

Answer:

Step-by-step explanation:

2/3 - 5/4 + 7/3

=8/12 - 15/12 + 28/12 (LCM=12)

(8 - 15 + 28)/12

=21/12

=7/4

Answer:

5a−3ai+30i+18

Step-by-step explanation:

i just did this

Answer:

8.3 minutes

Step-by-step explanation:

93,000,000 m/186,000 m/s = 500 s

500/60 = 8.333333

The area of the rhombus is 832 square m if the length of the diagonals are 104 m and 16 m.

A rhombus is a two-dimensional shape having four parallel opposite pairs of straight, equal sides. This shape resembles a diamond and is what you'd find on a deck of cards to represent the diamond suit. Rhombuses can be encountered in a variety of common situations.

We have given a rhombus with diagonals.

The length of the long diagonal p = 2×52 = 104 m

The length of the short diagonal q = 2×8 = 16 m

Area = pq/2 = (104×16)/2 = 832 square m

Thus, the area of the rhombus is 832 square m if the length of the diagonals are 104 m and 16 m.

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[tex]\displaystyle|\Omega|=6^3=216\\A=\binom{3}{2}\cdot5=3\cdot5=15\\|A|=\dfrac{15}{216}=\dfrac{5}{72}\approx0.069[/tex]

Offer B is the best value for money because each kg cost is £0.61 and in offer 'A' each kg cost is £0.7.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:
2 bags for £35

2 bags means 50 kg (2×25)

Each kg cost = 35/50 = £0.7 per kg

3 bags for £92.50

3 bags means 150 kg

Each kg cost = 92.50/150 = £0.61 per kg

As we can see, offer B has a low cost per kg

Thus, offer B is the best value for money because each kg cost is £0.61 and in offer 'A' each kg cost is £0.7.

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Answer:

The solution for the compound inequality is x \in(2,6)

Step-by-step explanation:

To find the solution set for these compound inequalities, we need to solve the inequality.

First, we shall solve the inequality

Adding both sides of the equation by 10, we have,

Dividing both sides by 3.5, we get,

Now, we shall solve the inequality ,

Adding both sides of the equation by 9, we have,

Dividing both sides by 8, we get,

The solution inequality for the given set of compound inequality 3.5x - 10 > - 3 & 8x - 9 < 39 is 2 < x < 6.

The general equation of a straight line inequalities are -

[y] < [m]x + [c]

[y] > [m]x + [c]

[y] ≥ [m]x + [c]

[y] ≤ [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the following compound inequality -

3.5x - 10 > - 3

8x - 9 < 39

We have -

3.5x - 10 > - 3

8x - 9 < 39

3.5x - 10 > - 3

3.5x > 7

x > 2

AND

8x - 9 < 39

8x < 48

x < 6

Solution inequality -

2 < x < 6

Therefore, the solution inequality for the given set of compound inequality 3.5x - 10 > - 3 & 8x - 9 < 39 is 2 < x < 6.

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Answer:

The number is 8

Step-by-step explanation:

Let x be the number

3x+4 = 28

Subtract4 from each side

3x+4-4 = 28-4

3x= 24

Divide by 3

3x/3 =24/3

x = 8

The first incorrect step is step 2 because this step did not take the two signs positive and negative.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a linear equation in a mod function;

|2x - 3| - 1 = 2

Step 1:

|2x - 3| = 3

Step 2:

2x - 3 = 3 or 2x - 3 = -3

(after removing mod, we get two same values but opposite in sign)

The first incorrect step is step 2 in which did not take the two sign,

2x - 3= 3 or 2x + 3 = 3   (wrong)

Thus, the first incorrect step is step 2 because this step did not take the two signs positive and negative.

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The number of years in 1000 days is = 2 . 74 years .

Division is the arithmetic operation that is used to determine the quotient of a number. Division parts a number into equal parts with another number.

Number of years in 100 days = 1000 / 365

= 2 . 74 years

Here is the complete question:

how many Years are in 1,000 days

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Answer:

24 ft sq

Step-by-step explanation:

find area of triangles

6×4=24

24/2=12

add areas together

12+12=24

Answer:

Step-by-step explanation:

2x+6 ≤ 10  or  2x + 8 > 20

⇔ 2x ≤ 4  or  2x > 12

⇔ x ≤ 2  or  x > 6

Answer:

3840

Step-by-step explanation:

Given expression:

4(x+5)(x+1)(x+3)(x - 3)

To:

Evaluate the expression ; for x = 5.

Solution:

Evaluate x = 5 :

Simplify using PEMDAS rule:

P : Parentheses

E : Exponents

M : Multiplication

D : Division

A : Addition

S : Subtraction

Hence, after evaluating the given expression for x = 5 , the answer'll be 3840.

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to evaluate

[tex]\large\pmb{4(x+5)(x+1)(x+3)(x-3)}[/tex] for x=5.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Here's what PEMDAS stands for:

P=Parentheses

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtraction

So, let's start computing...

///\\\///\\\///\\\///\\\///\\\////\\\///\\\///\\\///\\\///\\//\\\///\\\///\\\///\\\\///\\\\///\\\///\\\///\

                                   Evaluating the expression

First, substitute 5 for x:

[tex]\star~\large\pmb{4(5+5)(5+1)(5+3)(5-3)}[/tex]

Now, use the Order of Operations.

The first operation here is:

[tex]\dag[/tex] P=Parentheses

So we need to perform the operations inside the parentheses first:

[tex]\star~\large\pmb{4(10)(6)(8)(2)}[/tex]

The next operation is multiplication, since we don't have any exponents here:

[tex]\star~\large\pmb{40\times6\times8\times2}[/tex]

Multiply!

[tex]\star~\Large\pmb{3840}~~\square\!\!\!\!\!\checkmark[/tex]

That's the value of the expression 4(x+5)(x+1)(x+3)(x-3) for x=5.

Hope it helps you out! :D

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Answer:

25.13cm

Step-by-step explanation:

formula for circumference of a circle is (2r)π with r being the radius

since the problem gave us the diameter already we can change the formula to 8π (2r is equal to the diameter since diameter is twice as long as the radius)

this gives us the circumference of 25.13

Answer:

2.25x 10^-6

Step-by-step explanation:

In order to find out which is the scientific notation you would want to count how many zeros are in front of the number in this case it has 6 zeros before the series of numbers meaning that it would be 10^-6

Answer:

4045.43

Step-by-step explanation:

Answer:

Step-by-step explanation:

First one- x=0

Second=All real numbers

The Volume for Rectangular prism A is 172 inches², Volume = 112 inches³

Surface Area to Volume Ratio = 43/28

Given Data

Rectangular prism A

Length = 2 inches

Width = 7 inches

Height = 8 inches

Surface Area

A=2(wl+hl+hw)

A=2(7*2+8*2+8*7)

A=2(14+16+56)

A= 172 inches²

Volume

Volume = L*W*H

Volume = 2*7*8

Volume = 112 inches³

Surface Area to Volume Ratio

= 172/112

= 43/28

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Answer:

48

Step-by-step explanation:

when you multiply a negative times a negative (or divide a negative by a negative), it equals a positive!

-6 times -8 will equal 48!

let me know if you have any questions :)

And

Check

Hence

Or

Option C

The situation which can be defined using an exponential function is "The number of bacteria decreases by 7% each hour".

An exponential function is used to represent a situation in which values of an event do not increase at a constant or linear rate.

From the above,

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Answer:

125 minus 81 will give me 34°

Answer:

x = 44°

Step-by-step explanation:

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Answer:

[tex]\displaystyle \frac{-11}{9}[/tex]

Step-by-step explanation:

       We will use the equation of change in y over change in x to solve for the slope of the line. Then, we will simplify.

[tex]\displaystyle \frac{y_{2}-y_1 }{x_2-x_1}[/tex]

[tex]\displaystyle \frac{-8-3}{6--3}[/tex]

[tex]\displaystyle \frac{-8-3}{6+3}[/tex]

[tex]\displaystyle \frac{-11}{9}[/tex]

1. Mean of the data: 8

2. Median: 8

3. IQR = 4

4. Members that use the facility 10 days a month is: 2.

See reasons below.

Mean = sum of all values ÷ number of data values (easily solved using a dot plot

Median = middle value (easily found using a box plot).

Interquartile range (IQR) = Q3 - Q1 (easily found using a box plot).

1. Mean of the data: use the dot plot.

Reasoning: (3 + 3 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 11 + 12 + 14)/15 = 8

2. Median of the data set: Using the box plot, it is the value indicated by the vertical line that divides the box.

Median = 8

3. IQR = Q3 - Q1 = 10 - 6

IQR = 4

4. Members that use the facility 10 days a month, using the dot plot is: 2. 10 has 2 dots.

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The predicted number of plants with aphids is 109.

The predicted number of plants with aphids is the ratio of the random plants with aphids to total number of random plants selected multiplied by the number of plants in the nursery.

Predicted number = (7/50) x 780 = 109.

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Answer:

9

Step-by-step explanation:

Because 3 letter to find that just do 3 times 3 which = 9

Hope This Helped

Answer:

64

Step-by-step explanation:

There are 4 options to choose from:

Each has a 1/4 chance of being picked.

For 3 times in a row, we would multiply the chance of being picked for one option, by whatever the other option's chance is.

As they all have the same chance, and it is 3 times in a row, we would do the following:

1/4 x 1/4 x 1/4

This is:

1/16 x 1/4

Which is:

1/64

Therefore, any possible combination has a 1/64 chance of occurring, meaning that there are 64 possible combinations that could be created.

Answer:

Step-by-step explanation:

5 in.

a.

(6.257 25) in.

-

b. (6.25π – 12.5√2)in.²

d.

Find the value of x and y rounded to the nearest tenth.

C.

(6.25π- 12.5) in.2