Complete the following proof.

Given: SW is diameter of R

m = 30°

Prove: m RTW = 15°

Answer:

3.5kg

Step-by-step explanation:

Let original weight  of grapes in box be X and weight of grapes in basket be Y.

From the first sentence
X = 2Y  (weight in box = 2 times weight in basket)   --- (1)

If you add 2kg of grapes to basket, the weight of grapes in basket = Y + 2

From the second statement

Y + 2 = X + 0.5

Subtracting Y from the LHS gives 2 = X - Y + 0.5

Subtracting 0.5 from both sides gives 2-0.5 = X - Y or X - Y = 1.5  --- (2)

Substituting for X from the first equation in (2) we get
2Y - Y = 1.5 or Y = 1.5kg

But this is the original weight of the grapes in the basket. Since we have added 2 kg of grapes to the original weight, we get the weight of grapes in basket now as 1.5 + 2.0 = 3.5kg

Answer:

x = 175 units

Step-by-step explanation:

x is to (49 + 576)   as   49  is to x

x/ 625  =  49/x          cross multiply

x^2 = 30625

x=175

Answer:

x = 175 units

Step-by-step explanation:

x is to (49 + 576)   as   49  is to x

x/ 625  =  49/x          cross multiply

x^2 = 30625

x=175

HOPE THIS HELPS LOVE -3-

Answer:

Least common multiple (LCM) of 20, 8, 4 is 40.

LCM(20, 8, 4) = 40

The measure of angle of ∠BAM (θ) will be 9°. Then the correct option is D.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

ABCD is a rectangle with AB = 3BC.

And M is the mid-point of BC.

2BM = BC

Then the tangent of angle of ∠BAM (θ) will be

tan θ = (BM) / (AB)

tan θ = (BM) / (3BC)

tan θ = (BM) / (3 × 2BC)

tan θ = 1/6

     θ = tan⁻¹ (1/6)

     θ = 9.46°

     θ ≅ 9°

Then the correct option is D.

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Answer:

The answer is B. Tyrone's unit rate is 1 more mile per hour then John’s unit rate.

Step-by-step explanation:

First of all at the bottom is what the graph and the answer options are.

Hope this helped! :D

Step-by-step explanation:

1. The number to the right of 0 is 16.

2. The number that is the least is -15.

3. -15 is smaller than 0 than -9 is.

Answer:

20 km rate should 7.76

Step-by-step explanation:

Definitions

The variable rate is the rate for every km.

The fixed rate is what is charged for someone just getting on their bicycle.

Givens

Length of race = 6 km

variable rate = 0.22 / km

fixed rate = x

Total cost = 4.68

Formula

Total cost = fixed rate + variable rate * distance

Solution

4.68 = 6*0.22 + x

4.68 = 1.32 + x                       Subtract 1.32 from both sides.

4.68 - 1.32 = 1.32 - 1.32 + x   Combine

3,36 = x

The fixed rate is 3.36

Before getting the answer to the question asked, we should see if we get the same fixed rate for 24 km

Check

Total Cost = fixed rate + variable rate*distance

Total Cost = 8.64

fixed rate = x

variable rate = 0.22

distance = 24 km

8.64 = x + 0.22 * 24                Combine

8.64 = x + 5,28                        Subtract 5.28 from both sides

8.54 - 5,28 = x + 5.28 - 5,28  Combine

3.36 = x which agrees with our first calculation for the fixed rate.

Answer

y = 3.36 + 20*0.22

y = 3.36 + 4.4                           Combine

y = 7.76

The color that has the greatest difference between the theoretical and experimental probability is yellow.

Theoretical probability of each color = number of color in each section / total number of sections

1/5 = 0.2

Experimental probability is based on the result of an experiment that has been carried out multiples times

Experimental probability

Experimental probability of choosing orange = 118 / 625 = 0.19

Difference = 0.2 - 0.19 = 0.01

Experimental probability of choosing purple = 137 / 625 = 0.22

Difference 0.22 - 0.2 = 0.02

Experimental probability of choosing brown = 122 / 625 = 0.20

0.2 - 0.2 = 0

Experimental probability of choosing yellow = 106 / 625 = 0.17

0.20 - 0.1696 = 0.0304

Experimental probability of choosing green = 142 / 625 = 0.23

0.2272 - 0.20 = 0.0272

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Answer:

7/30 of her music library

Step-by-step explanation:

We are looking for 7/10 of 1/3. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply

top × top

and

bottom × bottom

1/3 × 7/10

is 1×7 on top, and

3×10 on the bottom.

= (1×7)/(3×10)

= 7/30

7/30 cannot be simplified, so that is the answer.

The height of the tree which is the opposite side of the right triangle is 145 meters.

The angle of elevation is 36 degrees.

The situation forms a right angle triangle.

Therefore,

base of the triangle = 200 m

Hence, using trigonometric ratios,

tan 36 = opposite / adjacent

tan 36 = x / 200

x = 200 tan 36

x = 200 × 0.726542528

x = 145.308505601

x = 145.31 m

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Answer:

A, C, and D

Step-by-step explanation:

A) (4x + 3) (2x + 6) is equal to 8x² + 30x + 18 because when you multiply two binomials, you use the distributive property. The distributive property states that for any numbers a, b, and c, a(b + c) = ab + ac. So, (4x + 3) (2x + 6) can be rewritten as (4x)(2x) + (4x)(6) + (3)(2x) + (3)(6). This can further be simplified to 8x² + 24x + 18.

C) 2(4x² + 15x + 9) is equal to 8x² + 30x + 18 because when you multiply a number by a binomial, you use the distributive property. The distributive property states that for any numbers a, b, and c, a(b + c) = ab + ac. So, 2(4x² + 15x + 9) can be rewritten as 2(4x²) + 2(15x) + 2(9). This can further be simplified to 8x² + 30x + 18.

D) 4(2x² + 7x + 4) is equal to 8x² + 30x + 18 because when you multiply a number by a binomial, you use the distributive property. The distributive property states that for any numbers a, b, and c, a(b + c) = ab + ac. So, 4(2x² + 7x + 4) can be rewritten as 4(2x²) + 4(7x) + 4(4). This can further be simplified to 8x² + 28x + 16.

Option D is correct.

Figures are missing in the question.

The images below shows the missing figures of question.

For congruent figures, we need the same shape, same area, and inverse direction.

Congruent figures have congruency. That seems simple enough, but congruent figures need not be turned the same way or face the same direction to be congruent.

In the case of geometric figures, line segments with the same length are congruent and angle with the same measure are congruent.

In elementary geometry the word congruent is often used as follows. The word equal is often used in place of congruent for these objects.

In this sense, two plane figures are congruent implies that their corresponding characteristics are "congruent" or "equal" including not just their corresponding sides and angles, but also their corresponding diagonals, perimeters, and areas.

The figure in option D satisfies all these conditions. Hence, Option D is correct.

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Step-by-step explanation:

Exponential can't be odd, because any exponential function has a range that isn't defined for all reals

Answer:

The relation y=2x+8 is a function because the two different output values of the function have the one unique input value.

Step-by-step explanation:

The given relation is y=2x+8.

It is required to determine the relation is a function.

This solution can be obtained by using the concept of function. First write the given relation y=2x+8 and determine whether the given relation is a function.

Step 1 of 1

The given relation is y=2x+8.

This relation shows that the two different output values of the function have one unique input value and this relation is a linear function.

Hence, the relation is a function.

Answer:

3/1

Step-by-step explanation:

left one and three up

The new coordinates will be ( 7,5) and (11,9) , Option A is the correct answer.

The reciprocal function is the inverse of the function, such that 1/ f(x) is the reciprocal of f(x).

The given linear function has pairs of points

(5,7) and (9,11)

The reciprocal of this will be

interchanging of the coordinates

Therefore the new coordinates will be

( 7,5) and (11,9)

Option A is the correct answer.

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Answer:

A

Step-by-step explanation:

because for black diamond its 10x+25

and for bunny hill its 5x+50

We can calculated each one out :

7 1/5 x 49 7/5 = 36/5 x 252 / 5 = 9072 / 25
49 2/10 x 7 1/5 = 980 / 10 x 36/5 = 35280 / 50 = 3528 / 5

or a much simpler way is that because both multiplication has 7 1/5 so we only have to compare the other terms, and since 49 7/5 is not equal to 49 2/10 these are not equal. and i didnt notice that till now.

Binomial distribution will be used to know the probability that the total weight of the samples will exceed 530 pounds.

It is given that the rocket that will return the rock and soil samples to Earth cannot lift off if the total weight of the samples from the rovers exceeds 530 pounds.

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability q = 1 − p). A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a sequence of outcomes is called a Bernoulli process; for a single trial, i.e., n = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the popular binomial test of statistical significance.

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6. The system of equations has no solution.

7. B. Tables - 15 lbs, chairs - 3.5 lbs.

The values of x and y that makes two equations equal is the solution of a system of equations.

6. 3x + 4y = 12 --> eqn. 1

y = 3 - 3/4x --> eqn. 2

Substitute y = (3 - 3/4x) into eqn. 1 to find x:

3x + 4(3 - 3/4x) = 12

3x + 12 - 3x = 12

12 = 12 [unable to solve further for x]

This means that the system of equations has no solution.

7. t = tables

c = chairs

3t + 5c = 62.5 --> eqn. 1

3t + 2c = 52 --> eqn. 2

Subtract

3c = 10.5

c = 3.5 [chairs]

Substitute c = 3.5 into eqn. 2

3t + 2(3.5) = 52

3t + 7 = 52

3t = 52 - 7

3t = 45

t = 15 [table]

Therefore, the answer is: B. Tables - 15 lbs, chairs - 3.5 lbs.

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The confidence interval or the mean noise level is (108.17,150.23) and sample standard deviation is 12.52.

Given noise levels:108,133,140,129,136. and confidence level 98%.

We have to find the confidence level and the sample standard deviation of the given data.

Confidence level=98%.

n=5

Sample standard deviation=[tex]\sqrt{(x-x bar)^{2} /n-1}[/tex]

=[tex]\sqrt{626.8/4}[/tex]

=[tex]\sqrt{156.7}[/tex]

=12.52

critical t value at 98% confidence level with degree of freedom(5-1) is 3.747

Standard error= critical t*s/[tex]\sqrt{n}[/tex]

Standard error is the difference between the real values and calculated values.

=3.747*12.52/[tex]\sqrt{5}[/tex]

=46.91/2.23

=21.03

Upper confidence interval=Mean +standard error

=129.2+21.03

=150.23

Lower confidence interval=Mean - standard error

=129.2-21.03

=108.17

Hence the confidence interval is (108.17,150.23) ,sample standard deviation is 12.52 and critical t value is 3.747.

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The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the given letters

J = 0.5 × 8 ft × 6 ft = 24 ft²

K = 8ft × 9ft = 72 ft²

L = 6ft  × 9ft = 54 ft²

M = 10ft × 9ft = 90ft²

N = 0.5 × 8 ft × 6 ft = 24 ft²

U = 0.5 × 16 yd × 15 yd = 120 yds²

V = 0.5 × 16 yd × 15 yd = 120 yds²

W = 16 yd × 16 yd = 256 yds²

V = 0.5 × 16 yd × 15 yd = 120 yds²

X = 0.5 × 16 yd × 15 yd = 120 yds²

A = 5 in × 10 in = 50 in²

B = 10 in × 12 in = 120 in²

C = 5 in × 12 in = 60 in²

D = 5 in × 10 in = 50 in²

E = 5 in × 12 in = 60 in²

F = 10 in × 12 in = 120 in²

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Answer:

[a] 11 feet

[b] 7 feet

[c] 10 feet

Step-by-step explanation:

     See attached. We will pull different details from the graph and information given to solve the different problems,

Answer:

See below

Step-by-step explanation:

Using the equation (instead of the graph....my answer got deleted for using the graph instead of the equation)

When the ball leaves fingers x = 0 :

a)  -1/25 ( 0-10)^2 + 11 =   7 ft

b)    max height will be at - b/2a

        -1/25 ( x^2 -20x +100 ) + 11       <====expand

         -1/25 x^2 + 4/5x +7        a = -1/25       b= 4/5

                then - b/2a =  -  4/5 / (2* -1/25) = 10=x

                     sub in this value of x into the equation to find max height = 11ft

c)  when x = 15

         -1/25 ( 15-10)^2 + 11 =   10 ft

Answer: a monomial has one term, binomial has 2 terms, and trinomial has 3.

Step-by-step explanation:

using a bit of greek and latin roots, we can observe that all 3 terms have the same suffix of nomial in them. From this, we know that mono means one, bino means two, and tri means 3. Fun fact, there's also polynomial (if you did or didn't know), which is multiple terms more than 3.

We cannot express the function [tex]x^{2} -sin(x+y)=1[/tex] in y=f(x) form it has an implicit function.

Given function [tex]x^{2} -sin(x+y)=1[/tex] and dy/dx=2x sec(x+y)-1

A relation is said to be an implicit solution of a differential equation involving x,y and derivatives of y with respect to x if defined explicit solution. In other words  the function which cannot be written as y=f(x).

Function is a relationship between two or more variables which have one value for each value of x.

We have to first differentiate the function with respect to x.

[tex]x^{2} -sin(x+y)=1[/tex]

2x-cos(x+y)(1+dy/dx)=0

2x-cos(x+y)+cos(x+y)dy/dx=0

cos(x+y) dy/dx=cos(x+y)-2x

dy/dx={cos(x+y)-2x}/cos(x+y)

dy/dx=cos(x+y)/cos(x+y)-2x/cos(x+y)

dy/dx=1-2x cos(x+y)

The given solution is incorrect.

when we solve the function to collect the variable y in one side we cannot be able to do that.

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Answer:

So, the correct answer is that as x gets bigger, f(x) moves towards positive infinity.

Answer:

8, 12, 16, 20, 24, 28, 32, 36

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

a₁ is the first term and d the common difference

given a₁ = 4 and a₁₀= 40 , then

4 + 9d = 40 ( subtract 4 from both sides )

9d = 36 ( divide both sides by 9 )

d = 4

add d to each term to obtain the next term

4 + 4 = 8

8 + 4 = 12

12 + 4 = 16

16 + 4 = 20

20 + 4 = 24

24 + 4 = 28

28 + 4 = 32

32 + 4 = 36

the 8 terms between 4 and 40 are

8, 12, 16, 20, 24, 28, 32, 36