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The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

Determining the diameter of tin:

Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.

Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.  

Here we have

A ricoffy tin container with no dimensions indicated

Let d and h be the diameter and height of the tin

Given that the container is 2/5 times smaller than d

then the diameter of the tin in the picture \(= d - 2/5(d)\)

\(= [5d - 2d]/5 = 3d/5\)

Therefore, The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

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Answer:

36

Step-by-step explanation:

its x2 for the missing  length of the original once you have it add it all up.

The remainder of the polynomial division \(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)}\) is 2y²

From the question, we have the following parameters that can be used in our computation:

\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)}\)

When the numerator is expanded, we have

\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = \frac{(y - 1)(y^3 + 1) + 2y^2}{y^3 + 1}\)

Split the expanded expression

\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = \frac{(y - 1)(y^3 + 1)}{y^3 + 1} + \frac{2y^2}{y^3 + 1}\)

Evaluate

\(\frac{\left(y^4-y^3+2y^2+y-1\right)}{\left(y^3+1\right)} = y - 1 + \frac{2y^2}{y^3 + 1}\)

From the above, we have

Quotient = y - 1

Remainder = 2y²

Hence, the remainder of the polynomial division is 2y²

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Answer:

-tan(θ)

Step-by-step explanation:

We can use the following trigonometric identity to simplify tan(pi - theta):

tan(pi - theta) = -tan(theta)

Therefore, the simplified expression is:

tan(pi - theta) = -tan(theta)

a) the expected number of smokers is 21.6, and

b) the standard deviation of the number of smokers is approximately 4.21.

a) To find the expected number of smokers, you need to multiply the probability of a student being a smoker (18% or

0.18) by the number of students surveyed (120). So, the expected number of smokers is:

Expected number of smokers = 0.18 × 120 = 21.6

b) To find the standard deviation of the number of smokers, you can use the formula for the standard deviation of a

binomial distribution, which is:

Standard deviation = √(n × p × (1 - p))

where n is the number of students surveyed, p is the probability of a student being a smoker, and (1 - p) is the

probability of a student not being a smoker. Plug in the values:

Standard deviation = √(120 × 0.18 × (1 - 0.18)) = √(120 × 0.18 × 0.82) ≈ 4.21

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Answer:

Answer:

124.84

Step-by-step explanation:

A = ah + bh + ch + 1 /2×√( ﹣a^4 ﹣ b^4 ﹣ c^4+ 2(ab)² + 2(ac)² + 2(bc)² ) =4×7+5×7+6×7+ 1 /2×√(-4^4 - 5^4 - 6^4 + 2(4×5)² + 2(4×6)² + 2(5×6)² )

≈ 124.84313

Step-by-step explanation:

We get the number of nonnegative integer solution for the given pair of equations as 36 and 105 respectively.

The number of non-negative integer solutions of x1+x2+x3=7 is the number of permutations of a multiset with seven 1's, and two +'s. This is

9!/7!2! = 36

Similarly, the number of non-negative integer solutions of x4+x5+x6=13 is the number of permutations of thirteen 1's, and two +'s. This is

15!/13!2! = 105

This is why the first number in your combination is what the variables equal, and the second is "one less" the amount of variables, since you're permuting the +'s.

Hence we get the required answer.

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How many nonnegative integer solutions are there to the pair of equations x1+x2+…+x6=20 and x1+x2+x3=7?

The ordered pair that satisfies the given inequality is ( 4,-2)

Step-by-step explanation:

By looking at the Graph, only the point ( 4,-2) marked by red dot lies on the shaded portion of the graph.

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Answer:

150 cookies

Step-by-step explanation:

The girl scout troupe could have baked between 100 to 150 cookies. Therefore, the largest amount they could have baked is 150 cookies. The amount on how many lemon crunch and chocolate macadamia nut cookies they made doesn't matter here.

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An observational study that can be performed to study the influence of violent games on teens is this: A cohort study that allows them to examine the behavior of children exposed to violent games as compared to those not exposed to it.

An experiment the scientist can set up to test the influence of violent games on teens is this: An exposure of some children to violent games. These are the treatment group. Next is the control group that is not exposed to violent games.

An observational study is a kind of study where the scientists examine the behavior between a causative factor and some consequences without trying to influence any. The idea is to observe and determine the relationships.

An experiment involves a hands-on study of the groups to determine a concrete relationship. A control group will be introduced in this case.

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If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:

b = total_number_of_pears / pears_per_bag

In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.

Given that Natalie has a total of 48 pears, we can substitute the value into the equation:

b = 48 / pears_per_bag

Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.

Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:

b = 48 / 4

Simplifying the equation gives:

b = 12

So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.

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Multiply both sides by 2pi:

F(2pi) = sqrt(g/l)

Square both sides:

F^2 (2pi)^2 = g/l

Solve for l by dividing both sides by F^2 (2pi)^2

L = g/ F^2 (2pi)^2

Simplify:

L = g / 4pi^2(f^2)

The answer is 10 minutes

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Abrams family had a 30-gallon baby pool that they could fill in just 2 minutes. Thus speed = 30/2

                                              =15 gallons per day

Thus to fill 150 gallons the time required is 150/15=10 mins

Hence, The answer is 10 minutes

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Answer:

So the number of ways of choosing two distinct letters at a time is (42)=6. We can then add the duplicate pairs which are O,O and N,N to give a total of 8 possible pairs.

Answer:

15

Step-by-step explanation:

There are 6 letters in the word number

This is 6 choose 2

This is a combination

The formula is 6! / ( 2! * (6-2)! )

                           6! / 2! 4!

                           (6*5*4*3*2*1) / ( 2*1 *  4*3*2*1)

Canceling like factors

                             (6*5) / ( 2*1)

                              30/2

                                 15

There are 15 possible ways to have 6 choose 2

Answer:

0.3

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

I hope this is what you where asking for?

The new dimension of the rectangular field are 45 ft by 120ft.

If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:

lenght = K*L

width = K*W

In this case the original dimensions are:

L = 30ft

W = 80ft

And the scale factor is K = 1.5, then the new dimensions are:

L' = 1.5*30ft = 45ft

W' = 1.5*80ft = 120ft

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Answer:

m+5

Step-by-step explanation:

4m+5-3m

1m+5

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

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Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

Answer:

The correct answer is B

Answer:

50

Step-by-step explanation:

i got it correct on the iready quiz

The graph of the line does not change except only in the y - intercept. The slope of the line remains same.

        y = mx + c

        [m] : slope of line.

        [c] : y - intercept

Given is a graph that shows the relationship between time and the distance a train travels.

From the graph, we can write the coordinates as -

(1, 60) and (2, 120)

So, we can write the slope of the line as -

m = (120 - 60)/(2 - 1)

m = 60/1

m = 60

Therefore, the slope of the line given in the graph will be 60 miles/hr.

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Problem

List the integers from least to greatest 0,-1 1/2,7,-3,11​

Solution

For this case we can do the following:

-3, -1 1/2, 0, 7, 11

The output value of (g/f)(x) is 9x/(7x + 28).

The domain of g/f is (-∞, -4) U (-4, ∞)..

In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;

(g/f)(x) = (9/(x + 4)) ÷ 7/x

By rearranging the mathematical expression using the multiplication operation, we have the following:

(g/f)(x) = (9/(x + 4)) × x/7

(g/f)(x) = 9x/(7x + 28)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

7x + 28 ≠ 0

7x ≠ -28

x ≠ -4

Domain = (-∞, -4) U (-4, ∞).

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Answer:

45 cm

Step-by-step explanation:

The area of a rectangle can be found by multiplying its breadth and width together.

Since the length of the rectangle is usually taken to be the longer side of the rectangle, we can assume that the ratio of the measure of the breadth to its length is 4:5.

Let the breadth of the rectangle be 4 units, where units shall be written as 'u' for simplification.

Thus, the length of the rectangle is 5u.

Area= length ×breadth

125 cm²= (4u)(5u)

125 cm²= 20u²

Divide both sides by 20:

u²= 6.25 cm²

Square root both sides:

u= 2.5 cm

Length= 5(2.5)= 12.5 cm

Breadth= 4(2.5)= 10 cm

The perimeter is the sum of the length of all its sides, i.e. 2(length +breadth).

Perimeter of the rectangle

= 2(12.5 +10)

= 2(22.5)

= 45 cm

\(4(y + 4) = 32 \\ y + 4 = \frac{32}{4} \\ y + 4 = 8 \\ y = 8 - 4 \\ y = 4\)

Answer: y = 4

Step-by-step explanation:

     To solve, we will isolate the y variable.

     Given:

4(y + 4) = 32

     Distribute the 4 with multiplication:

4y + 16 = 32

     Subtract 16 from both sides of the equation:

4y = 16

     Divide both sides of the equation by 4:

y = 4

Answer:

its a right triangle

Step-by-step explanation:

Answer:

1. 16

2. -16

3. 0

Step-by-step explanation:

1. (-4)(-4)= 16

2. -(4)(4)= -16

3. -(2)(2)+20-(16)

-4+20-16

-20+20

=0

Answer:

(-4)^2 = 16

-4^2 = - 16

-2^2 + 20 - ( 8 * 2) = 16 - 16x

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Answer:

x+7)^2=x^2+2*7x+7^2= x^2+14x+49

Step-by-step explanation:

Answer:

2x-14

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Answer:

Diameter is the width =  7.64 ft

Step-by-step explanation:

Perimeter would need to be the arc of a semi circle measuring less than or equal to 12   Where perimeter therefore = 12* 2 = 24   24 / 3.14 = 7.64331210191   where 3.14 the value for pi  and formula of a semi circle we use radius  =  1/2 pi * 3.82 ^2 =  D * pi = 7.65   and radius =7.64 / 2 = 3.82 so answer is the diameter =   7.64 ft