Simplify the expression:
(50 + 4)(2)

Answer:

B. Recursive

Step-by-step explanation:

I calculated it logically

The equation of the line of best fit is: y = (-2/3)x + 26/3

To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the points:

m = (2 - 4) / (10 - 7)

m = -2 / 3

Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):

4 = (-2/3)(7) + b

4 = -14/3 + b

To find the value of b, we can rearrange the equation:

b = 4 + 14/3

b = 12/3 + 14/3

b = 26/3

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Answer:

Step-by-step explanation:

Using table calculating the mean for each case

1. Entire year, sample size 12

2. First six months, sample size 6

3. April through November, sample size 8

The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.

C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%

Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.

No.

If you multiply 6 by 2 you get 12 but to be equivalent you would need to multiply the top number by 2 as well which would be 2 x 2 = 4 so 4/12 would be equivalent. 10/12 is greater so is not.

Answer:

No.

Step-by-step explanation:

2/6=4/12

Answer:

62 in

Step-by-step explanation:

the Hypotenuse of a triangle is always longer than the two other sides, 27 + 32 is larger than all but one of the options, 62. Making 62 the answer by process of elimination.

9514 1404 393

Answer:

  x = -6

Step-by-step explanation:

Both of these points are on the vertical line x = -6.

H(t) = \(\left \{ {{0 if t < 0} \atop {1 if t \geq 0}} \right.\)

As t→0 from the left, H(t) approaches 0, as t→0 from right H(t) approaches 1.

From Laplace transformation definition:

L{f(t)} = \(\int\limits^\alpha _0 {e^{-st} f(t)} \, dt\)

Given, H(t) = \(\left \{ {{0 if t < 0} \atop {1 if t \geq 0}} \right.\)

Then

L{H(t)} = \(\int\limits^1_0 {e^{-st} H(t) } \, dt+\int\limits^\alpha _1 {e^{-st} H(t) } \, dt\)

\(=\int\limits^1_0 {e^{-st} (0) } \, dt+\int\limits^\alpha _1 {e^{-st} (1) } \, dt\)

\(=[\frac{e^{-st} }{-s} ]^{\alpha }_{1}\)

\(=\frac{e^{-st} }{s}\)

L{H(t)} =\(\frac{e^{-st} }{s}\)

As t→0 from the left, H(t) approaches 0, as t→0 from right H(t) approaches 1.

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Option A. To translate a figure 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex.

The original vertices are:

(4, 4), (4, 2), and (6, 3)

Subtracting 4 from the x-coordinates, we get the new vertices:

(0, 4), (0, 2), and (2, 3)

To understand how to translate a figure, it is helpful to visualize the original and new positions of the figure in a coordinate plane. In this case, the original triangle has vertices (4, 4), (4, 2), and (6, 3) as shown below:

   (4,4)

     / \

    /   \

(4,2)----- (6,3)

To translate this triangle 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex. This will shift the entire triangle to the left by 4 units.

So, the new x-coordinates of the vertices become:

x-coordinate of (4, 4) - 4 = 0

x-coordinate of (4, 2) - 4 = 0

x-coordinate of (6, 3) - 4 = 2

The y-coordinates of the vertices remain the same.

Therefore, the new vertices of the triangle are:

(0, 4), (0, 2), and (2, 3)

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A triangle with vertices (4, 4), (4, 2), and (6, 3) is translated a distance of 4 units to the left. What are the new coordinates?

A. (0, 4), (0, 2), (2, 3)

B. (4, 0), (4, -2), (6, -1)

C. (4, 8), (4, 6), (6, 7)

D. (8, 4), (8, 2), (10, 3)

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:

10

Step-by-step explanation:

hoh(x) = h(h(x)) = 6 - h(x) = 6 - (6-x) = 6 - 6 + x = x

then

hoh(x) = x

then

hoh(10) = 10

Answer:

q = r

Step-by-step explanation:

Explanation:-

Given    2q – r = 4p ...(i)

                  2r = q...(ii)

                  r = 2p ...(iii)

Substitute 2r = q in equation (i)

              2(2r) – r = 4p

                     3 r = 4 p

                   2 r + r = 4 p

                   2 r + 2 p = 4 p

                  2 r = 2 p

                   q = r

Answer:

7

Step-by-step explanation:

a2+b2+c2

4^2+6^2= c2

16+36=52

C=52

√52=7

C=7

Answer:

7

Step-by-step explanation:

This is a right triangle so we can find the value of c using the pythagoras' teorem

c^2 = a^2 + b^2

c^2 = 4^2 + 6^2

c^2 = 52

c = 7 approximately

Given that cos (0) = 0, we can use the Pythagorean identity sin^2(x) + cos^2(x) = 1 to find the value of sin (0).

sin^2(0) + cos^2(0) = 1

sin^2(0) = 1 - cos^2(0)

sin^2(0) = 1 - 0^2

sin^2(0) = 1

So, sin (0) = sqrt(sin^2(0)) = sqrt (1) = 1.

However, the given value is sin (0) = v3/6. This means that sin (0) = sqrt (3)/2, which is the value of sin (60). Therefore, the correct value of sin (0) is sqrt (3)/2, not 1.

trigonometry, the branch of mathematics deal with specific functions of angles and their application to calculations. There is total six functions of an angle commonly used in trigonometry.

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Answer:

let x be the number then,

according to question ,

10+4x=73-3x

or, 4x+3x=73-10

or, 7x= 63

or, x= 63÷7

or,x=9 ans

hence , the number is 9

In the equation , it take 2 hours for the experienced crew to paint the apartment.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here let us take x as time taken by new crew of painters apartment and y as time taken by experienced crew of painters apartment .

Now a new crew of painters takes two times as long to paint a small apartment as the experienced crew  then,

x = 2y ----> 1

both crews can paint the apartment in 6 hours then,

=> x+y = 6

Now put  equation 1  into x+y=6 then,

=> 2y+y=6

=> 3y = 6

=> y = 6/3 = 2 hours.

Hence it take 2 hours for the experienced crew to paint the apartment.

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Answer:

YU = 4.82.  angle STR = 23°

Step-by-step explanation:

7) Angle between U and V = 72°, since angles on a straight line add up to 180°. so angle UV = 180 - 108 = 72°.

similarly, angle YU = 180 - 85 - 72 = 23°.

length of circumference of full circle = π X diameter = π (2r)

= 2πr (radius = half of diameter).

circumference = 2π(12) = 24π.

there are 360° in full circle.

remember that angle YU = 23°.

length YU = (23/360) X 24π

= (23π)/15

= 4.817

= 4.82 to nearest one hundredth.

8) triangle RST sits inside of half the circle, ie in the semicircle.

angle RST = 90° because the angle in a semicircle =  90°.

there are 180° in a full triangle.

since angle RST = 90°, angle STR must be less than 180 - 90.

angle STR < 90°. so STR must be 23°.

Another point on the line is (-9, 7). Ultimately, the choice of which point to use depends on the context or specific requirements of the problem you are solving.

To determine which point to use from the equation y - 7 = 3(x + 9), we need more information.

The equation provided represents a linear equation in the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Without additional context or specific instructions, we can choose any point that satisfies the equation to use as a reference.

For example, if we let x = 0, we can solve the equation for y:

y - 7 = 3(0 + 9)

y - 7 = 3(9)

y - 7 = 27

y = 27 + 7

y = 34

So, one point on the line is (0, 34).

Alternatively, if we let x = -9, we can solve the equation for y:

y - 7 = 3(-9 + 9)

y - 7 = 3(0)

y - 7 = 0

y = 7

So, another point on the line is (-9, 7).

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The number of muffins in each bag is 6

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

5 boxes of muffins with m number in each box equals 30​

Using the above as a guide, we have the following equation

5m = 30

Divide both sides by 5

m = 6

Hence, there are 6 muffins in each bag

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Complete question

5 boxes of muffins with m number in each box equals 30​

What is the number of muffin in each box

Answer:

y=-4x-4

Step-by-step explanation:

y=-4x-4

y=mx+b where m=slope and b=y-intercept.

Answer:

36720 different desserts

Step-by-step explanation:

(1020x3)x12=36720

Answer:

x-2y= -8

Step-by-step explanation:

Answer:

Step-by-step explanation: Part A:

3x−6y=−12;x−2y=−8

Rewrite equations:

x−2y=−8;3x−6y=−12

Step: Solvex−2y=−8for x:

x−2y=−8

x−2y+2y=−8+2y(Add 2y to both sides)

x=2y−8

Step: Substitute2y−8forxin3x−6y=−12:

3x−6y=−12

3(2y−8)−6y=−12

−24=−12(Simplify both sides of the equation)

−24+24=−12+24(Add 24 to both sides)

0=12

Answer:

No solutions.

Part B: the lines are parallel

The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

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Answer:

C

Step-by-step explanation:

Two equations and workout the answer

In the standard algorithm

Reminder = 2

quotient  = 13

What does quotient in mathematics mean?

The number being divided is known as the dividend, in this case, 15. The number being divided is known as the divisor (in this case, 3). The remainder following division is the quotient.

                                When we divide two integers, the result is a quantity known as the quotient. As an example, since the division resulted in the number 2, the quotient in the equation 8 4 = 2 is 2.

= 93÷7​

Reminder = 2

quotient  = 13

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Answer:

7*-5+2(-5+5)=-35

9*-5+10=-35

7*2+2(2+5)=28

9*2+10=28

Step-by-step explanation:

when plugging the x values in, you get the same answer for both equation, make the equation equal.

Answer:

The correct answer is B.

Answer:

Its A 11/15

Step-by-step explanation:

There are 15 probabilities and 4 of them are pennies which you cant choose from that elimenates 4 possible outomes so subtract the 4 you get 11.