Solve the puzzle from the clues one of is 3 when you pair me with 36 our LCM is 36 I am greater the 6 but less than 12 what is the mystery number


HELPPP PLSSS

Answer:

30 feet

Step-by-step explanation:

The scale factor is 1 inch = 3 feet

So 10 inches = 10 x 3 feet= 30 feet

Height of the lighthouse is 30 feet

Answer:

Step-by-step explanation:

none of these the corrct answer is 5

Answer:

[tex]\textsf{1)} \quad y=x+\dfrac{17}{4}[/tex]

[tex]\textsf{2)} \quad y=2x+4[/tex]

Step-by-step explanation:

Differentiation is an algebraic process that finds the gradient (slope) of a curve.

At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.

Given function:

[tex]y=4+2x-x^2[/tex]

Differentiate the given function:

[tex]\implies \dfrac{\text{d}y}{\text{d}x}=2-2x[/tex]

If the tangent to the parabola forms an angle of 45° with the negative direction of the x-axis, then the gradient of the tangent is 1.

Set the differentiated function to 1 to find the x-value of the point where the gradient of the tangent is 1:

[tex]\implies \dfrac{\text{d}y}{\text{d}x}=1[/tex]

[tex]\implies 2-2x=1[/tex]

[tex]\implies -2x=-1[/tex]

[tex]\implies x=\dfrac{1}{2}[/tex]

Substitute x = 1/2 into the given function to find the y-value of the point:

[tex]\implies y=4+2\left(\dfrac{1}{2}\right)-\left(\dfrac{1}{2}\right)^2=\dfrac{19}{4}[/tex]

Therefore, the point at which the tangent of the parabola forms an angle of 45° with the negative direction of the x-axis is:

Substitute the found point and slope into the point-slope formula to create an equation of the tangent:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-\dfrac{19}{4}=1\left(x-\dfrac{1}{2}\right)[/tex]

[tex]\implies y=x+\dfrac{17}{4}[/tex]

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

Given function:

[tex]y=4+2x-x^2[/tex]

Differentiate the given function:

[tex]\implies \dfrac{\text{d}y}{\text{d}x}=2-2x[/tex]

If the tangent to the parabola is parallel to the line y = 2x - 4 then the gradient of the tangent is 2 (since parallel lines have the same gradient).

Set the differentiated function to 2 to find the x-value of the point where the gradient of the tangent is 2:

[tex]\implies \dfrac{\text{d}y}{\text{d}x}=2[/tex]

[tex]\implies 2-2x=2[/tex]

[tex]\implies -2x=0[/tex]

[tex]\implies x=0[/tex]

Substitute x = 0 into the given function to find the y-value of the point:

[tex]\implies y=4+2\left(0\right)-\left(0\right)^2=4[/tex]

Therefore, the point at which the tangent of the parabola is parallel to the line y = 2x - 4 is:

Substitute the found point and slope into the point-slope formula to create an equation of the tangent:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-4=2\left(x-0\right)[/tex]

[tex]\implies y=2x+4[/tex]

Answer:

54 cm^2

Step-by-step explanation:

calculate the area of each of the 2 rectangles and add them .

area of rectangle = l × w

so let the area of the big rectangle be A1 and the area of the small one A2 :

A1 = l × w = 11 × 4 = 44 cm^2

A2 = l × w = 5 × 2 = 10 cm^2

then , the area of the shape is = A1 + A2 = 44 + 10 = 54 cm^2

The average speed so far is 226.4 miles per hour.

Time taken: 3 hours 49 minutes + 6 hours 27 minutes

= 10 hours 16 minutes

Total distance: 163 miles + 411 miles

= 574 miles

Average speed: 574 miles / (10 hours 16 minutes)

= 226.4 miles per hour

To calculate the average speed of the Copeland family's trip so far, we need to know the total distance they have traveled and the total time they have spent traveling. We can calculate this by adding the distance driven by Mr. Copeland (163 miles) and the distance driven by Mrs. Copeland (411 miles) to get a total distance of 574 miles. Then, we can add the time taken by Mr. Copeland (3 hours 49 minutes) and the time taken by Mrs. Copeland (6 hours 27 minutes) to get a total time of 10 hours 16 minutes. We can then divide the total distance (574 miles) by the total time (10 hours 16 minutes) to get an average speed of 226.4 miles per hour.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

Answer: Ratios are proportional if they represent the same relationship.

Step-by-step explanation:

One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Vector w can be expressed as w=1u-2v as linear combination of vector u and v.

Vector equation would be w=Au + Bv

[1,1]=A[5,7] + B[2,3]

Here A and B are constants and we are trying to find their values.

We can split two equations as

1=5A+2B → equation a

1=7A+3B → equation b

Solving these equations by elimination method . Multiplying equation a with 3 and equation b with 2.

3=15A+6B

2=14A+6B

1=A → A=1

Putting value of A in equation b:

1=7+3B

1-7=3B

-6=3B

B=-6/3=-2

A = 1 and B = -2 . It means we can write w as 1u - 2v. We can recheck by plugging the values in any of the vector to confirm if the values are correct or not.

For further information regarding linear combination, click the link below:

brainly.com/question/29151684

#SPJ4

The double integral. ∫∫R 2x/1 + xy dA, R = [0, 2] × [0, 1] is: 2*(1/2ln(3) - 1/2ln(1))

To calculate the double integral ∫∫R 2x/1 + xy dA, we need to integrate with respect to x and y over the region R = [0, 2] × [0, 1].

We can solve this by using the order of integration.

First we need to fix the limits of integration with respect to y and then integrate with respect to x.

∫∫R 2x/1 + xy dA = ∫(0 to 1) (∫(0 to 2) 2x/(1+xy) dx) dy

∫(0 to 1) (∫(0 to 2) 2x/(1+xy) dx) dy = ∫(0 to 1) ( 2*ln(1+xy)|x=0 to 2) dy

∫(0 to 1) ( 2ln(1+2y) - 2ln(1+0) ) dy

= 2*∫(0 to 1) ln(1+2y) dy

= 2*[y*ln(1+2y) - ∫(0 to 1) ln(1+2y) dy] |y = 0 to 1

= 2*[yln(1+2y) - (1/2 ln(3) - 1/2* ln(1))] |y = 0 to 1

= 2*(1ln(3) - 0ln(1) - 1/2* ln(3) + 1/2* ln(1))

= 2*(1/2ln(3) - 1/2ln(1))

Learn more about Double integration here:  brainly.com/question/30217024

#SPJ4

Answer:

720 Should be the answer I think.

The highlights listed above indicate that: 35 - 5D reflects the quantity of postcards sold.

The highlights listed above indicate that: 35 - 5D reflects the quantity of postcards sold.

The examples include:

D indicates the cost of each postcard.

35 - 5D is the number of postcards that were sold.

D(35 - 5D) denotes the revenue resulting from the sales.

Describe phrases.

Mathematical assertions called expressions include all of the followings.

Mathematical operator variables for numbers

The phrase is given as follows:

The query leads us to believe that:

D indicates the cost of each postcard

D(35 - 5D) denotes the revenue resulting from the sales.

The highlights listed above indicate that: 35 - 5D reflects the quantity of postcards sold.

To learn more about expressions refer

https://brainly.com/question/26188171

#SPJ1

The complete equation is  y =2x+7  after substituting the given values.

What is equation?

An equation is a condition on a variable such that two expressions in the variable should have equal value and  Substitution means replacing the variables (letters) in an algebraic expression with their numerical values.

According to the question.

We have a table which shows the relation between x and y.

Let the missing term be a and b.

The the given equation becomes

y = ax+b

For finding the value of a and b.

Substitute x = 0 and y = 7 in equation y = ax + b.

7 = a(0) + b

b= 7

Again, substitute  x = 1 and y = 9 in the equation y = ax+ b

9 = a(1)+b

9 = a+7

a=9-7

a=2

substitute the value of a and b in the equation y = ax + b. we get ,

y = 2x+7

Therefore, the complete equation is y = 2x+7

To learn more about  equation and substitution from the given link.

brainly.com/question/2581775

#SPJ1

Answer:

5 + 5z

Step-by-step explanation:

You just combine the like terms:

11 - 5 = 5

4z + 1z = 5z

=

5 + 5z

A randomly selected subject has a 0.40 probability of completing more tasks than expected in 5 minutes while listening to relaxing music.

The Probability distribution is:

    X                     1                    2                3              4          

   P(x)             0.20          0.40      0.30             0.10

If listening to soothing music, the expected number of puzzles in 5 minutes can be calculated as follows:

            E(x) = ∑x p(x)

       ⇒ E(x) = 1 ×(0.20) + 2× 0.40 + 3 × 0.30 + 4× 0.1

       ⇒ E(x) = 0.20 + 0.8 + 0.9 + 0.4

       ⇒ E(x) = 2.3

Thus, a randomly selected subject could solve 5 puzzles while listening to soothing music. The probability of solving more tasks than expected in a minute is calculated as:

    P( X > 2.3) = P(X = 3) + P(X = 4)

                      = 0.30 + 0.10

                      = 0.40

Explanation for other  option:

(a) The probability that a randomly selected participant completes more tasks than expected in 5 minutes while listening to relaxing music does not equal 0.1.

(c) 5 randomly selected participants. The probability of completing more tasks than expected in a minute of listening to relaxation music does not equal 0.8.

(d) The probability that a randomly selected participant completes more tasks than expected in 5 minutes while listening to relaxing music is not equal to 1.

(e) The likelihood of randomly selected participants completing more tasks than expected in 5 minutes while listening to relaxing music cannot be determined.

Learn more about Probability:

https://brainly.com/question/11234923

#SPJ4

113875.44746 is principal and interest will he have already paid when his balloon payment is due.

What exactly does "interest rate" mean?

An interest rate informs you of how much borrowing will cost you and how much saving will pay off. The amount you pay for borrowing money, expressed as a percentage of the entire loan amount, is what you will pay in interest if you are a borrower.

                        The financial fee for borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest for the use of their money, or borrowers may charge interest for the use of those funds.

=PMT(5.25%/12,12*30,-245500)*12*7

= 113875.44746

Learn more about interest rate

brainly.com/question/13324776

#SPJ4

Answer:

(6-squarre root 8)^2 = 10.058874

Answer:

Car B has the best rate

Step-by-step explanation:

A:  450 mi / 15 gal = 30 mi/gal

B:  651 mi / 21 gal = 31 mi/gal

C:  598 mi / 23 gal = 26 mi/gal

31 > 30 > 26

Answer:Car B has the best rate at 31 miles per gallon

Step-by-step explanation:  i did my math

The dividing by 0.5 is not the same as dividing by 2 , because 0.5 and 2 are different numbers  .

Let us understand the Division with the help of example ;

let the number be 10 ;

first we divide the number 10 by 0.5 ;

this can be written mathematically as ⇒ [tex]\frac{10}{0.5}[/tex]  ;

⇒ [tex]\frac{10}{\frac{1}{2} }[/tex] = [tex]10\times2[/tex] = 20 ;

So , on dividing 10 by 0.5 , we get the answer as 20 .

Second , the number 10 is divided by 2 ;

this can be written mathematically as ⇒ [tex]\frac{10}{2}[/tex] ;

⇒ [tex]\frac{10}{2 }[/tex]  = 5  ;

So , on dividing 10 by 2 , we get the answer as 5  .

Therefore , dividing by 0.5 is not same as dividing by 2 .

Learn more about Division here

https://brainly.com/question/12245608

#SPJ4

By applying the first derivative of distance with respect to time, it can be concluded that the person is walking 4/3 meters per second.

Instantaneous velocity or rate is the first derivative of distance with respect to time. Mathematically it is written v = ds/dt, where v is the velocity, s is the distance and t is the time.

First, we make a simple drawing using the given information:

The walking person = 2 meters tall

The street light = 8 meters above the ground

The walking rate is constant

The person's shadow lengthening rate = 4/9 meter per second = dy/dt

We want to know the walking rate, dx/dt.

We determine the value of y:

8 / 2 = (x + y) / y

  8y = 2x + 2y

  6y = 2x

    y = x / 3

Then we substitute the value of y into the equation:

dy/dx = d(x/3) / dx

         = 1/3

Finally, we can get the rate dx/dt:

dx/dt = dy/dt * dx/dy

         = 4/9 * 3

         = 4/3

Thus, it can be concluded that the person is walking 4/3 meters per second.

To learn more about Instantaneous Velocity, click here: https://brainly.com/question/10518017

#SPJ4

a. The domain of a(r) is [tex]A(r)= 2\pi r^{2} + 16\pi r[/tex].

b. The radius r as a function of a is [tex]r = -4 +\sqrt{\frac{A}{2\pi } +16[/tex] .

The three-dimensional solid shape of a cylinder is made up of two circular bases joined by a curving surface that is created by folding a rectangle. A cylinder's top and bottom faces are parallel to one another. There are 3 faces, 2 edges, and 0 vertices in all.

In this question, we must apply our understanding of cylinders to determine the function that most accurately captures its value:

[tex]r = -4 +\sqrt{\frac{A}{2\pi } +16[/tex]

The area domain of A can be represented as:

[tex]A(r)= 2\pi r^{2} + 16\pi r[/tex]

Let's divide the equation by 2π and write A(r) as just A to get:

[tex]r^{2} + 8r = \frac{A}{2\pi }[/tex]

So, after we sum on both sides we get,

[tex]r^{2} +8X +16 =\frac{A}{2\pi } + 16[/tex]

[tex](r+4)^{2} = \frac{A}{2\pi } +16[/tex]

By taking the square root of the previous equation and then figuring out r, we get:

[tex]r = -4 +\sqrt{\frac{A}{2\pi } +16[/tex]

To learn more about cylinders visit:

https://brainly.com/question/3692256

#SPJ4

The area of the trapezoid is 210  squared '

The area of a trapezoid be be calculated using the formula:

A = 1/2(a+b)h

where:

a is the length of one of the parallel sides of the trapezoid

b is the length of the other parallel side of the trapezoid

h is height is the distance between the two parallel sides (perpendicular to the bases)

a = 12', b = 18 + 5 = 23' and h = √(13²-5²) = 12'

A = 1/2(a+b)h

A = 1/2(12+23)12

A = (35)6

A = 210  squared '

Learn more about area of a trapezoid on :

brainly.com/question/29121133

#SPJ1

By finding the Greatest Common Factor we can conclude that the possible dimensions of the sports field are a width of 70 yards and a length 9-6d yards.

There are two theories needed to solve the problem:

Dimensions of an object are defined as a measure of length, width, or height extended in a certain direction.

The Greatest Common Factor (GCF) of two or more numbers is the largest number that can be evenly divisible by these numbers.

We can assume that the sports field is a rectangle since we know that:

- the width is at least 50 yards

- the area is (630-420d) yard square

To find the dimension of the sports field, we have to find the GCF of 490 and 210, by enumerating their prime factors and multiplying those factors both numbers have in common.

490 = 2 × 5 × 7 × 7

210 = 2 × 5 × 3 × 7

So the GCF is 2 × 5 × 7 = 70

This GCF depicts one of the dimensions of the sports field, which we denote as d₁.

By substituting the value of one dimension, the value of another dimension (d₂) can be obtained:

Area = d₁ x d₂

d₂ = Area / d₁

    = (630-420d) / 70

    = 9-6d

Thus we can conclude that the possible dimensions of the sports field are width 70 yards and length 9-6d yards.

To learn more about Greatest Common Factor, click here: https://brainly.com/question/219464

#SPJ4

The advantage does a Mercedes g class 6x6 squared have compared to the 4x4 squared for off road driving is explained below.

The term class in math is used to define a grouping of values by which data is binned for computation of a frequency distribution

Here we have to find the advantage does a Mercedes g class 6x6 squared have compared to the 4x4 squared for off road driving

Where we all know that in a 4x4 Transfer Case there is a 50:50 split between Front and Rear axles on the other had in a 6x6 we have the Transfer Case splits the torque 33:66 between Front & Rear Axles.

Then the next one is known as intricate rear Suspension such as Short Radius Arms and coil Springs or elliptical leaf springs/Inverted Leaf Springs.

To know more about square here.

https://brainly.com/question/14198272

#SPJ4

The 40 randomly selected teachers: sample.

The list of all teachers in the school district: frame.

The 245 teachers in the school district: population.

A sample is a subset of a population that is selected for research purposes. In this case, the school board has randomly selected 40 teachers out of the 245 teachers in the district as a sample to survey their opinions on the new professional development plan.

A population is the entire group of individuals or objects that researchers are interested in studying. In this case, the population is all 245 teachers in the school district.

A frame is the list or method used to define the population. In this case, the frame is the list of all 245 teachers in the school district that was used as the basis for selecting the random sample of 40 teachers.

Learn more about sample, frame, population:

https://brainly.com/question/17255201

#SPJ4

 If a symmetric matrix can be inverted into a diagonal matrix using another matrix, then it is diagonalizable. Accordingly, it may be said that there is a matrix P that can be inverted such that P-1 * A * P = D, where D is a diagonal matrix and A is the symmetric matrix. The diagonal entries of D are the appropriate eigenvalues, while the columns of P are the eigenvectors of A.

  The matrix P is the foundation of the vector space because its columns are linearly independent and it is invertible. The inner product of any two different eigenvectors is 0, as A's eigenvectors are orthogonal to one another due to its symmetry.

 We can divide each eigenvector by its norm to get an orthonormal basis from this collection of eigenvectors. As a result, a group of eigenvectors that are orthonormal to one another and serve as the vector space's orthonormal basis are produced.

  Therefore, A symmetric matrix is diagonalizable and has an orthonormal eigen basis  consisting of orthonormal eigenvectors, which can be obtained by dividing each eigenvector by its norm.

 To know more about matrices at :

brainly.com/question/12088021

#SPJ4

The length of the side KL for the given similar triangles rounded to the nearest tenth is 10.6 units.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects.

When two triangles are comparable, their respective sides and angles are equally spaced out and congruent. This is the property of similar triangles.

Given that the triangle GHI is similar to triangle JKL.

According to the property of similar triangles:

[tex]\frac{GH}{HI} = \frac{JK}{KL} \\\\\frac{45}{34} = \frac{14}{y} \\\\y= \frac{(14)(34)}{45} \\\\y= 10.577[/tex]

Rounding the value to the nearest tenth 10.57 is 10.6.

Hence, the value of side KL is 10.6 units.

Learn more about triangles here:

https://brainly.com/question/14926756

#SPJ1

Ratio grade 7 is a mathematical concept that involves comparing two or more quantities using a ratio. It is a common part of mathematics curriculums for middle and high school students.

1. A ratio is a comparison of two or more numbers.

2. Ratios can be expressed as a fraction, a decimal, or a percentage.

3. Ratios are used to compare quantities of different kinds and are used to find relationships between them.

4. In grade 7, students will learn about ratios and how to use them to solve various problems. They will also learn about proportionality, rates, and unit rates.

5. Ratios can also be used to compare measurements, such as lengths, weights, and areas.

6. Students will also use ratios to calculate proportions, which can be used to solve problems involving proportional relationships.

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

Answer:

x^2 +xy+3x+2y+2

Step-by-step explanation:

(x+2)(x+y+1)

Apply the distributive property by multiplying each term of x+2 by each term of x+y+1.

x^2+xy+x+2x+2y+2

Combine x and 2x to get 3x

x^2 +xy+3x+2y+2

Answer: x^2+xy+3x+2y+2

Step-by-step explanation:

Expand and simplify