37. Triangles ABC and RST are graphed on the set of axes below. Identify a composition of rigid motions that will map AABC onto ARST.​

Answer: 4ft/s

Step-by-step explanation:

I think

2 + 6 = 8

8 / 2 = 4

Answer:

V = 5πX^2 + 50πX + 75π

Step-by-step explanation:

The volume of a cylinder with radius r and height h is given by the formula:

V = πr^2h

Substituting the values for the radius and height of the cylinder in this formula, we get:

V = π(5X + 5)^2(5X + 3)

This can be written in standard form as:

V = 5πX^2 + 50πX + 75π

So, the polynomial in standard form that best describes the total volume of the cylinder is:

V = 5πX^2 + 50πX + 75π

He utilized about 39.9 KG of clay per pot, or 38% of the 315 KG of clay, using 119.7 KG for 3 pots.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. Percentage, a relative value indicating hundredth parts of any quantity, is a relative value that indicates how many questions on a test you correctly answered out of 100 (75/100). Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Here,

Weight of clay=315 KG

Weight of clay he used,

=38%*315

=119.7 KG

Number of pots=3

Clay used in each pot,

=119.7/3

=39.9 KG

He used around 39.9 KG of clay to make each pot using 119.7 KG of clay for  3 pots out of 38% of 315 KG of clay.

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Rolling a 5 on one die and rolling a 5 on a second die and Choosing a cookie from the cookie jar and choosing a jack from a deck of cards are the independent events.

What is independent events?

Winning a hockey game and scoring a goal is dependent because if we score a goal then only we can win the game.

Hence, Rolling a 5 on one die and rolling a 5 on a second die and Choosing a cookie from the cookie jar and choosing a jack from a deck of cards are the independent events.

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Answer:

33

Step-by-step explanation:

                                              Difference from

Day     Number of apples      previous day              

1           1                                   -

2          2                                  1

3          3                                  1  

4          5                                 2

5          7                                 2

6          9                                 2

7           12                               3

8           15                               3

9           18                               3

10          22                             4

11           26                             4

12         30                              4

13          35                             5

14          40                             5

15          45                             5

16          51                              6

17           57                            6

18           63                            6

19           70                            7

20          77                             7

21           84                            7

The differences between consecutive days started at 1, then 2, then 3, etc. The last day of any specific difference is a multiple of 3.

For example, day 3 was the last day of a difference of 1.

Day 6 was the last day of a difference of 2.

Day 9 was the last day of a difference of 3.

Day 12 was the last day of a difference of 4.

In each case, 6/2 = 3; 9/9 = 3; 12/4 = 3.

99 is a multiple of 3, so it will be the last day with a difference of 99/3 = 33

Answer: 33

Answer:17cm x 19cm

Step-by-step explanation:

Answer: length is 19 inches  

               width is 17 inches

Step-by-step explanation:

Let the length and the width are x>0 and (x+2)>0

Hence,

x(x+2)=323

x²+2x=323

x²+2x-323=0

x²+(19x-17x)-323=0

(x²+19x)-(17x+323)=0

x(x+19)-17(x+19)=0

(x+19(x-7)=0

x+19=0

x=-19∉ (x>0)

x-17=0

x=17 inches

x+2=17+2

x+2=19 inches

The given equation is a linear equation.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

g(x) = 1/3x - 6

We need to identify whether the given equation is Linear, Quadratic, Exponential, or None and why.

g(x) is the term that shows the rate of change with respect to x.

1/3 is the coefficient of the variable x

and the 6 is the constant term in the equation.

so, comparing the given equation with standard form of linear equation,

y = mx + c.

we can say here,

y = g(x)

m = 1/3,

c = 6

Hence, the given equation is a linear equation.

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Answer:

Step-by-step explanation:

1)Option A)

2)Option B)

3 of 7 in percentage with rounding is 42.86%

Percentage is a way of expressing a number as a fraction of 100. It is often used to express how much of something there is compared to the total amount.

For example, if you have 20 apples and the total number of apples is 100, you can express the fraction of the total number of apples you have as a percentage. That is 20/100 = 0.2, which is equal to 20%.

In order to write 3 of 7 as a percent, we can say:

3/7 × 100 = 42.86%

Thus, with rounding 3 of 7 is 42.86%

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Complete Question

3 of 7 percent with rounding  =  ___ %

Answer:  [C]:  " 46 units ."
______

Step-by-step explanation:

The question (and corresponding image) asks:
 " If B is the midpoint of AC, find the length of AC. "

Note:  
    The midpoint refers to the point in the middle of the line [segment].

In this particular question:
⇒ The line segment; AC  is divided into 2 (two) equal segments of the same length:
  AB = (x + 13) ;  and:

  BC = (2x + 3) ;  {as per 'posted image'} ;
We  are asked to find the length of AC.

[length of AB] + [length of BC] = [length of AC].

            (x + 13) +  (2x + 3)  = [length of AC; for which we solve] :

We shall solving for x ; & then plug in the value to solve.
Note:
   [length of AB] =  [length of BC] ;  Plug in our known values:
⇒ that is;  (x + 13) = (2x + 3) ;

So, we have:  " x + 13  = 2x + 3 "

_____________________

 " x  +  13  =    2x  +  3    "  ;

− x   −  3   =   − x   −  3   "   ;

_____________________
  0  +   10  =     x   +  0 ;

  →  "  10 = x  " ;

       ↔  {Note: According to the "symmetric property" algebra:
                "a = b " ; then " b = a"};

  →  " x = 10 " ; {according to the "symmetric property of alm
__________________
Another method:
 When we have:
 " x  +  13  =   2x  +  3  " ;

→ Subtract each side of the equation by x ; & subtract each side of the equation by 3 ;  

to isolate x on one side of the equation —
  [in this case, the 'right-hand' side of the equation];

and to solve for x ; as follows:
  " x  +  13  =  2x + 3 ";

Now; for each side of the question—on a separate 'left-hand' side; and: on a separate 'right-hand' side basis; we can combine the 'like terms' and simply:
 For the left-hand side:
   "  x  +  13  − x − 3 " : Combine the 'like terms":
   + x −  x  =  0 ;  [that is: " +1x − 1x = 0"];
  + 13 − 3 = + 10 ;  We have:  " 0 + 10 = + 10 ".    

Now, For the right-hand side:
  " 2x  +  3  − x − 3 " :  Combine the 'like terms'; as follows:

     " + 2x  − x  = x " ; {that is:  " +2x − 1x = 1x = x "} ;

     " + 3  − 3  " =  0 " .   " x + 0 = x "    

        So: [left-hand side = right-hand side] ;

             →    10 =  x ;  ↔ " x = 10 ."

Both methods result in the same value for x ; that is:  x = 10 ; which happens to suggest credibility.

Now, to find the length of AC ; which equals:
 →   " x + 13 + 2x + 3 " ;
Then, we plug in our calculated value; 10 —for the values of x ;
 and solve!

→  " 10 + 13 + (2*10) + 3 "  =  " 10 + 13 + 20 + 3 "  =  " 46 units ".

⇒ which corresponds to the correct answer:  [C]:  " 46 units."

_______
Hope this answer with explanation is helpful.

 Best wishes!
_______

Step-by-step explanation:

Liz is baking cookies. a single batch uses ¾ teaspoons of vanilla. if Liz is mixing the ingredients for five batches at the same time, how many tablespoons of vanilla will she use?

3/4 = 0.75 teaspoons

0.75 teaspoons  * 5 batches = 3.75 teaspoons

There are 3  teaspoons in a tablespoon so:

Liz will use:

1 1/4 tablespoons

if you need in decimal form: 1.25 tablespoons

Answer:

I belive it would be 102

Step-by-step explanation:

Answer:

306 cm

Step-by-step explanation:

the opposite side is the same as the shaded side

18 x 17 = 306 cm

The weighted arithmetic mean price per ton is $72.33

Given that, a purchasing agent placed the three orders for coal. tons of coal 1,200 3,000 500 price per ton $28.50, $87.25 and $88.00, we need to find the weighted arithmetic mean price per ton,

So, the mean = 28.50x1200+87.25x3000+88x500 / 1200+3000+500

= 339950 / 4700 = 72.33

Hence, the arithmetic mean price per ton is $72.33

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Answer: 8 + i

Step-by-step explanation:

The complex number 8/1+i can be written in standard form as 8 + i. In standard form, a complex number is written as a+bi, where a is the real part and bi is the imaginary part. In this case, the real part is 8 and the imaginary part is i. Therefore, the standard form of the complex number 8/1+i is 8 + i.

Answer: 4-4i

Step-by-step explanation:

[tex]\displaystyle\\\frac{8}{1+i} =\\\\\frac{8(1-i)}{(1+i)(1-i)}=\\\\\frac{8(1-i)}{1^2-i^2} =\\\\\frac{8(1-i)}{1-(\sqrt{-1})^2 }=\\\\\frac{8(1-i)}{1-(-1)}=\\\\\frac{8(1-i)}{1+1} =\\\\\frac{8(1-i)}{2} =\\\\4(1-i)=\\\\4-4i[/tex]

The answers to each part are as follows -

a. n refers to the number of bought tickets. p is representative of the probability that I will win some prize after taking a single ticket.

b. The values of X will be in the range 0 to 5. It is indicative of number of won tickets. Hence, values that are possible are 0, 1, 2, 3, 4 and 5.

c. The probability of each value of x will be calculated using Binomial formula. The formula is-

P(x) = (n choose x) × [tex] {p}^{x} [/tex] × [tex] {(1 - p)}^{n - x} [/tex]

In this formula, n is the number of trials, p is probability of success and x is number of successes.

Keep the values in formula for calculation -

P(0) = (5 choose 0) * 0.256^0 * (1-0.256)^(5-0)

P(0) = 0.326

P(1) = (5 choose 1) * 0.256^1 * (1-0.256)^(5-1)

P(1) = 0.410

P(2) = (5 choose 2) * 0.256^2 * (1-0.256)^(5-2)

P(2) = 0.219

P(3) = (5 choose 3) * 0.256^3 * (1-0.256)^(5-3)

P(3) = 0.062

P(4) = (5 choose 4) * 0.256^4 * (1-0.256)^(5-4)

P(4) = 0.011

P(5) = (5 choose 5) * 0.256^5 * (1-0.256)^(5-5)

P(5) = 0.001

d. For the probability histogram stating the distribution of x, the x-axis will have x values and y-axis will have the probability of each x value. The mean of distribution will be calculated by the formula -

mean = n × p

mean = 5 × 0.256

mean = 1.28

Further, the standard deviation will be calculated by the formula -

Standard Deviation = [tex] \sqrt{n × p × (1-p)} [/tex]

Keep the values in formula -

Standard Deviation = [tex] \sqrt{5 × 0.256 × (1-0.256)} [/tex]

Standard Deviation = 0.995

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Answer:

all the above

Step-by-step explanation:

examples of undefined term are point line and plane

0.65  is the probability that the chosen student eats neither fish nor eggs.

What are examples and probability?

A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.                  

                                      The likelihood of an event occurring increases as its probability increases. The flip of a fair (impartial) coin serves as a straightforward illustration.

We know that there is sample of 275 MHS Students

20 are vegetarians

      9 eat both fish and eggs

      3 eat eggs but not fish

      8 eat neither

Total 20

In a table

           FISH FISHc TOTAL

EGGS     9        3       12

EGGSc   1         7        8

TOTAL    10       10      20

P(F U E) = 9 + 3 + 1 / 20 = 13/20 = 0.65

Or

P(F U E) = 10/20 + 12/20 -9/20 = 13/20 = 0.65

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(2, 1,985.5) is not a solution of the equation y = 2200(0.95)x.

What is solution of an equation?

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Consider, the given equation

y = 2200(0.95)x

And the point given is, (2, 1985.5).

From this x = 2, y = 1985.5

Plug x = 2 in the above equation,

y = 2200(0.95)(2)

y = 4180 ≠ 1985.5

Hence, the given point (2, 1985.5) is not a solution to the equation

y = 2200(0.95)x.

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A. y = - (4/3)x + 4.

y = - (4/3)x - 1.

No solution.

B. y = 4x - 5.

y = - 2x + 7.

one solution.

C. 2x + 3y = 8

4x + 6y = 17.

No solution.

D. y = 5x - 15.

y = 5(x - 3).

Infinitely many solutions.

Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

We'll graph each system of equations, If they intersect at one point they have one solution, if they are parallel to each other they have no solution and if they are coinciding with each other they have infinitely many solutions.

y = - (4/3)x + 4.

y = - (4/3)x - 1.

These are parallel lines no solution.

y = 4x - 5.

y = - 2x + 7.

These lines intersect at (2, 3) one solution.

2x + 3y = 8

4x + 6y = 17.

They are parallel to each other.

y = 5x - 15.

y = 5(x - 3).

These are coinciding lines if we distribute the terms hence infinitely many solutions.

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The required conversion of the 15 cm/year is given as 0.5 inches per month.

Given that,
15 cm/year converted to inches per month is to be determind.

Conversion of the units is defined as the multiplying the original value with the unit factor.

Here,
1 cm = 0.4 inch
1 year = 12 month,
Substitute these values in the expression = 15 cm / year
= 15 × 0.4 / 12
= 0.5 inches per month.

Thus, the required conversion of the 15 cm/year is given as 0.5 inches per month.

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The measure of the required angle of the given rhombus ABCD is m∠ADC = 64°.

The given rhombus has four angles as

∠ADC, ∠DCB, ∠CBA, and ∠BAD

It has two diagonals that bisect each other at point E.

And we have ∠ABD = 32° and ∠ACD = 58°

Here, the angles ∠ABD and ∠BDC are alternate angles. Since we know that, the alternate angles are equal in measure, we can write

∠ABD = ∠BDC

⇒ 32° = ∠BDC

Since we know that the diagonals of a rhombus bisect the angles, we get

∠ADC = 2∠BDC

⇒ ∠ADC = 2 × 32° = 64°

Therefore,  the required angle of the rhombus is ∠ADC = 64°.

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Here is sufficient evidence that revenue and the number of downloads are linearly related.

A computer software developer would like to use the number of downloads for the trial version of his new shareware to predict the amount of revenue.

The Null hypothesis is the common statistical theory that asserts that no statistical relationship or significance exist between two sets of observed data and measure phenomena based on a single observed variable.

Therefore the null hypothesis become,

H₀ : ρ₁ = 0

and the adjacent hypothesis will become,

H₁ : ρ ≠ 0

Now we will calculate test statistic,

t = r × [tex]\sqrt{\frac{n-2}{1-r^{2} } }[/tex]

 = (0.8691) × [tex]\sqrt{\frac{30 - 2}{0.1309^{2} } }[/tex]

t = 9.2974

we know that degree of freedom = n - 2 = 28

p-value at t = 9.2974 is 0.00

α = 0.05

since p-value < α

so null hypothesis will be rejected.

Hence we can say that there is sufficient evidence that revenue and the number of downloads are linearly related.

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The linear function that relates your distance to the number of seconds is y = Sx, and the graph is attached below.

A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.

The formula for distance covered is given by,

[tex]Distance = Speed \times time[/tex]

Assume the speed is constant,

D = S × t

Assume distance is in y direction and time is in x direction, the equation can be written as,

y = Sx

Suppose my speed of mine is 5 m / s and the speed of my friend's is 10 m/s then the function of distance for my friend,

Y = 10X

And for me

y = 5x

The graph of this is attached below, the red line in the graph is my distance equation and the green line is of my friend.

Therefore, the linear function that relates your distance to the number of seconds is y = Sx.

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Answer:

1/3

Step-by-step explanation:

rise/run is rate of change

Answer:

around 8,000 or 100,000 is the answer

The measures of the missing angles are:

1. x = 41°

2. x = 100°

3. x = 42°

4. x = 47°

5. x = 65°

6. x = 73°

7. x = 70°

8. x = 43°

To find the missing measures of each of the angles given, we need to apply one of the property of isosceles triangles which states that the base angles of an isosceles triangle has the same measure.

1. x = 41° [base angles]

2. x = 180 - 2(40) = 100°

3. x = 180 - 2(69) = 42°

4. x = 1/2(180 - 86) = 47°

5. x = 65° [base angles are equal]

6. 2x = 146

2x/2 = 146/2

x = 73°

7. x = 180 - 2(180 - 125)

x = 70°

8. 2x = 86

2x/2 = 86/2

x = 43°

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The expression which is equivalent to −10.75(20x +15.2) is -215x - 163.4.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical terms.

As per the given expression,

−10.75 (20x +15.2)

By multiplying or opening the bracket,

When a bracket opens then the outer number will multiply with all inner variables as,

⇒ (-10.75 × 20x) + (- 10.75 × 15.2)

⇒ -215x - 163.4

Hence "The expression which is equivalent to −10.75(20x +15.2) is -215x - 163.4".

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The u(1, 1, 2), v(2, 3, 1), and w(4, 5, 5) supplied vectors are linearly dependent.

A vector is a quantity with both magnitude and direction in physics. It is often depicted by an arrow with the same direction as the amount and a length proportionate to the size of the quantity. A vector lacks position, but has magnitude and direction. A vector is therefore unaffected by displacement parallel to itself as far as its length is unaltered.

As per the given information in the question,

The given vectors are:

u = (1, 1, 2)

v = (2, 3, 1) and,

w = (4, 5, 5)

If there are three scalars that are not all zero and that are dependent on a set of vectors (u, v, and w), they have been shown to be linearly dependent.

au + bv + cw = 0

⇒ a(1, 1, 2) + b(2, 3, 1) + c(4, 5, 5) = (0, 0, 0)

⇒ (a + 2b + 4c, a + 3b + 5c, 2a+ b + 5c) = (0, 0, 0)

So,

a + 2b + 4c = 0    (i)

a + 3b + 5c = 0    (ii)

2a+ b + 5c = 0     (iii)

From equation (i) and (ii)

b = -c

From equation (i)

a - 2c + 4c = 0

⇒ a = -2c

Let's assume that c = 1

So,

a = -2 and,

b = -1

Then, from the obtained values,

-2u - v + w = 0

As a result, there is a set of non-zero values for a, b, and c such that:

au + bv + cw = 0

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The  distance between the shortstop and the pitcher calculated as per the given data is 63.6.

Distance between two consecutive bases = 90 feet

Halfway distance between them will be = 45 feets

therefore, halfway distance between first base and second base = 45 feet

and that between second base and third base = 45 feet

So the distance between the  shortstop and the pitcher using pythagoras theorem

= >SP² = PQ² + QS²

           = 45²  + 45²

            =4050

SP = 63.6

Therefore , the required distance is 63.36feets.

The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle

In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side. We can derive the base, perpendicular, and hypotenuse formulas using this theorem.

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