A line with a slope of 0 passes through the point (9, 8). What is its equation in slope-intercept form?

Answer is angle 2

Reason

two angles are adjacent angles when they share the common vertex and a side.

See attached picture

In August 2016, the Compounding Department had 6,000 equivalent units for the beginning work in process and 102,000 equivalent units for the units started. The total equivalent units were 108,000.


To calculate the equivalent units, we consider the work in process at the beginning and the units started during the period. The beginning work in process was 6,000 pounds at 60% processed, which gives us 6,000 x 0.60 = 3,600 equivalent units. The units started were 102,000 pounds, which are considered 100% processed, resulting in 102,000 equivalent units.

Adding the equivalent units from the beginning work in process and the units started, we get a total of 3,600 + 102,000 = 105,600 equivalent units. However, since the ending work in process was 90% processed, we need to multiply it by 0.90 to calculate the additional equivalent units. This gives us 96,000 x 0.90 = 86,400 equivalent units. Finally, we add the additional equivalent units to the total, resulting in 105,600 + 86,400 = 192,000 equivalent units for the Compounding Department in August 2016.

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If y = ax + 2a², then its derivative is dy/dx = a. Substitute y and dy/dx into the given equation and check if it results in an identity:

2 (dy/dx)² + x dy/dx - y = 0

2a² + ax - (ax + 2a²) = 0

0 = 0

This is of course true, so y = ax + 2a² is indeed a solution to the given equation.

Answer:

Step-by-step explanation:

wrd 2 my dead its 46

Answer:

324 642

Step-by-step explanation:

The  true statement about the quasi-experiment is , the researcher assigns participants to conditions based on the participant's preexisting level of the independent variable.

In a quasi-experiment, the researcher assigns participants to conditions based on the participant's preexisting level of the independent variable. However, unlike a true experiment, a quasi-experiment cannot control for all possible confounding variables and may not allow for the balancing of participant variables between groups. Therefore, while a quasi-experiment can provide some evidence of causality, it may not be as accurate as a true experiment in this regard.

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In a quasi-experiment, the researcher assigns participants to conditions based on the participant’s preexisting level of the independent variable.

A quasi-experiment is a research design that lacks the control of random assignment to groups. Instead, the researcher assigns participants to conditions based on pre-existing levels of the independent variable. This means that the groups may not be equivalent at the outset, and there is a greater risk of confounding variables affecting the results.

Therefore, we cannot balance participant variables between groups in a quasi-experiment, nor can we randomly assign participants to groups. While quasi-experiments can provide valuable information, they do not allow us to infer causality more accurately than other research designs.

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Slope-intercept form is y=mx+b

4y=6x+24
y=6/4x+6

y=3/2x+6

Step-by-step explanation:

y=x+3

root : (-3,0)

domain : X € R

y intercept : ( 0, 3)

x + y=6

root : ( 6, 0)

domain : X € R

y intercept : ( 0, 6 )

Answer:

\(x+y=18 \\2x+3y=42\)

Number of 2-point shots taken = 12

Number of 3-point shots taken = 6

Step-by-step explanation:

Total number of points scored by Gladys = 42

Only 2-point and 3-point shots are taken by Gladys.

Let number of 2-point shots taken = \(x\)

Let number of 3-point shots taken = \(y\)

Total number of shots taken = 18

Therefore, first equation can be written as:

\(x+y=18\)

Total points scored = 42

Therefore, second equation can be written as:

\(2x+3y=42\)

System of equations is:

\(x+y=18 .... (1)\\2x+3y=42 .... (2)\)

Using elimination method to solve the system of equations.

Multiplying equation by 2 then subtracting it from equation (2):

\(3y - 2y = 42 - 36\\\Rightarrow y = 6\)

By equation (1):

\(x+6=18\\\Rightarrow x = 12\)

Therefore, Number of 2-point shots taken = 12

Number of 3-point shots taken = 6

Answer:

x = 5

y = -2

Step-by-step explanation:

Solving system of equations:

    \(y = \dfrac{-5}{7}x +\dfrac{11}{7} --------------------(I)\\\\\\y = \dfrac{7}{5}x-9 -------------------------------(II)\)\(\sf Substitute \ y = \dfrac{7}{5}x - 9 \ in \ equation \ (I),\)

         \(~~~~~~~~\sf \dfrac{7}{5}x - 9 = \dfrac{-5}{7}x+\dfrac{11}{7}\\\\\\Add \ \dfrac{5}{7}x \ to \ both \ the \ sides,\\\\\\\dfrac{7}{5}x+\dfrac{5}{7}x - 9 =\dfrac{11}{7}\\\\\\Add \ 9 \ to \ both \ sides, \\\\\\\)

            \(~~~\sf \dfrac{7}{5}x +\dfrac{5}{7}x=\dfrac{11}{7}+9\\\\\\\dfrac{49x+25x}{35}x = \dfrac{11+63}{7}\\\\\\ ~~~~~~~~~~ \dfrac{74}{35}x = \dfrac{74}{7}\)

                           \(\sf x = \dfrac{74}{7}*\dfrac{35}{74}\\\\\\ \boxed{\bf x = 5}\)

Substitute x = 5 in equation (II),

            \(\sf y =\dfrac{7}{5}*5-9\\\\\\y = 7 - 9\\\\\boxed{\bf y = -2}\)

The volume and surface area of a pentagonal pyramid with an apothem of 3√2 and a height of 3 are:

   Volume:

The formula for the volume of a pyramid is:

V = (1/3) × A × h

where A is the base area of the pyramid and h is the height of the pyramid.

To find the base area of the pentagonal pyramid, we need to find the length of one side of the pentagon. The apothem of the pentagon is given as 3√2, so we can find the length of one side using the formula for the apothem of a regular pentagon:

a = s / (2√(5-2√5))

3√2 = s / (2√(5-2√5))

s = 6√(5-2√5)

The base area of the pyramid is the area of a regular pentagon with side length s and apothem 3√2, which is given by the formula:

A = (5/2) × s × a

Substituting the given values, we get:

A = (5/2) × 6√(5-2√5) × 3√2

A ≈ 31.18

Therefore, the volume of the pentagonal pyramid is:

V = (1/3) × A × h

V = (1/3) × 31.18 × 3

V ≈ 31.18 cubic units

   Surface Area:

To find the surface area of the pentagonal pyramid, we need to find the area of each of the five triangular faces. Each face has the same base area A and the same slant height l, so we can use the formula for the area of a triangle:

A = (1/2) × b × h

where b is the length of the base and h is the height of the triangle (which is the slant height of the pyramid).

The slant height of the pentagonal pyramid can be found using the Pythagorean theorem:

l = √(h^2 + a^2)

where h is the height of the pyramid and a is the apothem of the base.

Substituting the given values, we get:

l = √(3^2 + (3√2)^2)

l = √(9 + 18)

l = √27

l = 3√3

Substituting the values of A and l into the formula for the area of a triangle, we get:

A = (1/2) × A × l

A = (1/2) × 31.18 × 3√3

A ≈ 26.83

Since there are five triangular faces, the total surface area of the pentagonal pyramid is:

S = 5 × A

S ≈ 134.13 square units

Therefore, the volume of the pentagonal pyramid is approximately 31.18 cubic units, and the surface area is approximately 134.13 square units.

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

Answer:

=4x

Step-by-step explanation:

The radical rule is √a^2 = a; assuming a≥0

√x^2 = x

= 4x

Hope this helps! Have a nice day!

Answer:

to simply

\( \sqrt{x \: } \)

is the answer

Answer:

The first answer is correct

Step-by-step explanation:

The coordinates of the center is (32, 40.5).

length of the radius of the circle is 73 units.

The coordinates of the center is solved using the formula for midpoints expressed as

Midpoint x-coordinate = (x₁ + x₂) / 2

Midpoint y-coordinate = (y₁ + y₂) / 2

Plugging in the values:

x₁ = 8 and y₁ = 13

x₂ = 56 and y₂ =68

Midpoint x-coordinate

= (8 + 56) /2

= 64/2

= 32

Midpoint y-coordinate

= (13 + 68) /2

= 81/ 2

= 40.5

distance formula will be used to find the length of the radius of the circle

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plugging in the values:

= √[(56 - 8)² + (68 - 13)²]

= √(48² + 55²)

= √(2304 + 3025)

= √5329

= 73

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Answer:

i believe it is the second answer choice

Step-by-step explanation:

Step-by-step explanation:

Rational numbers

7/8, square root of 25

All of the rational numbers will be 7/8, 8.2, 8.333..., and √25. Then the correct options are A, B, C, and E.

If the value of a numerical expression is terminating then they are the rational number then they are called a rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

Let's check all the options, then we have

A. 7/8, simplify the expression, then we have

⇒ 7/8

⇒ 0.875

B. 8.2, simplify the expression, then we have

⇒ 8.2

C. 8.333333..., simplify the expression, then we have

⇒ 8.333....

D. √80, simplify the expression, then we have

⇒ √80

⇒ 4√5

E. √25, simplify the expression, then we have

⇒ √25

⇒ 5

All of the rational numbers will be 7/8, 8.2, 8.333..., and √25. Then the correct options are A, B, C, and E.

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Step-by-step explanation:

in the form

y = mx + c

m is the gradient (or slope) of the line, and c is the y-intercept (the y-value when x = 0).

y = 4x + c

we get c by using the given point coordinates :

-2 = 4×-3 + c = -12 + c

10 = c

so the full equation is

y = 4x + 10

The equation of the line would be y = (-1/4)x.

Option (D) is correct.

What is the slope-intercept form of a line?

The slope-intercept form of a line is a way of representing the equation of a line in the form y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept is the point at which the line crosses the y-axis.

From the graph, we can say that the line is passing through the points (-4, 1) and (4, -1)

So slope = -1/4.

And the y-intercept is 0. as the line is passing through the origin.

So by using a slope-intercept form of a line, we can write

y = mx + c

y = (-1/4)x+0

y = -1/4x

Hence, the equation of the line would be y = (-1/4)x.

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The domain of the function is 0 ≤ x ≤ 4 and f(2.5) is 147.5.

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

As per the given,

Since they start from 35 miles at the rate of 45 miles per hour.

For t number of hours,

f(t) = 45t + 35

At t = 0, f(0) = 35 (initial condition)

The maximum value of f(t) = 215

215 = 45t + 35

t = 4

Thus, the domain is 0 ≤ x ≤ 4.

The value of f(2.5) = 45(2.5) + 35 = 147.5

Hence "The function's domain is 0 ≤ x ≤ 4, and f(2.5) is 147.5".

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The accumulated value of $8600 at 6.45% after 8 months (simple interest) is $8971.90.

To compute the accumulated value of $8600at 6.45% after 8 months (simple interest), we need to use the formula for simple interest, which is given by:

I = P × r × t

Where, I is the interest earned, P is the principal amount, r is the interest rate, and t is the time in years.

Here, we have t in months, so we need to convert it into years by dividing by 12.

So, t = 8/12 = 2/3 years.

Now, substituting the given values, we get:

I = 8600 × 6.45/100 × 2/3 = $371.90

Therefore, the accumulated value of $8600 at 6.45% after 8 months (simple interest) is $8600 + $371.90 = $8971.90.

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An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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The surface area of the regular walls and the roof obtained by finding the  sum of the individual surface area is about 2744.28 square inches

The surface area of a plane is the two dimensional space the plane occupies.

The surface area of the walls and the interior ceiling can be calculated using the formula for finding the area of the rectangular and triangular shapes in the figure as follows;

Area of the rectangular surface = 10 × (24 + 16) + 2 × 28 × 10 + 10 × 16 + 2 × 10 × 18 + 10 × 24 = 1720

Let a and b represent the leg lengths of the wall on the roof, we get;

a·b/2 = (40/2) × 16 = 320

b = 640/a

a² + b² = 40²

Therefore;

a² + (640/a)² = 40²

a = 8·√5

b = 640/(8·√5) = 80·√5/5 = 16·√5

Surface area of the larger roof = 2 × 320 + 28 × 16·√5 + 28 × 8·√5 = 640 + 672·√2 ≈ 1590.35

Let c and d represent the leg lengths of the wall on the smaller roof, we get;

c·d/2 = 120

d = 240/c

c² + d² = 24²

c² + (240/c)² = 24²

c = 4·√3·√(6 + √(11)) and c = 4·√3·√(6 - √(11))

The surface area of smaller roof = 2 × 120 + 18 × (4·√3·√(6 + √(11))) + 18 × (4·√3·√(6 - √(11)) ) ≈ 864.93

The surface area of the figure is therefore; 1720 + 159.35 + 864.93 = 2744.28 square units

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The equations that represent exponential growth are \(A = 20,000(1.08)^t\), \(A = 40(3)^t,\) \(P = 1700(1.07)^t\) and the equations that represent exponential decay are \(A = 80(1/2)^t, A = 1600(0.8)^t,\) and \(P = 1700(0.93)^t.\)

The mathematical function used to calculate the exponential growth or decay of a given set of data is an exponential function. we can calculate changes in population, loan interest charges, bacterial growth, radioactive decay, or the spread of disease by using the exponential functions.

An exponential function is of the form:

\(f(x) = a ^x\)

The function represents an exponential decay If b < 1

The function represents an exponential growth If b > 1

From the given data about equations, we have;

Exponential Growth is;

The equation with the values b < 1 is:

\(A = 20,000(1.08)^t\)

\(A = 40(3)^t\)

\(P = 1700(1.07)^t\)

Exponential Decay is;

The equation with the values b > 1 is:

\(A = 80(1/2)^t\)

\(A = 1600(0.8)^t\)

\(P = 1700(0.93)^t\)

Therefore, The equations that represent exponential growth are\(A = 20,000(1.08)^t\), \(A = 40(3)^t\), and\(P = 1700(1.07)^t\)  the equations that represent exponential decay are \(A = 80(1/2)^t\), \(A = 1600(0.8)^t\\\), and \(P = 1700(0.93)^t.\)

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The complete question is

Which equations represent exponential growth? which equations represent exponential decay? drag the choices into the boxes to complete the table

Answer:

$12

Step-by-step explanation:

20% of $10 is $2

Add

$2 + $10 = $12

Answer:

v = 7

Step-by-step explanation:

Reverse sides

\(v+35=42\)

Subtract 35

\(v+35-35=42-35\)

Simplify

\(v=7\)

Answer:

v = 7

Step-by-step explanation:

Subtract 35 from both sides

The graph of the inequality is added as an attachment and a solution is (1, 5)

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

y ≥ -x + 3

y > 2x - 6

The above expression is an inequality that implies that:

The inequality is a linear inequality

Next, we plot the graph

One of the points in the shaded region is (1, 5)

See attachment for the graph of the inequality

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The number of hours that Larissa's family will drive is given as follows:

66 hours.

The number of hours that Larissa's family will drive is obtained applying the proportions in the context of the problem.

The map calculates drive time with no stops to be 2 3/4 days, hence the number of hours is obtained as follows, considering that each day is composed by 24 hours:

Then the number of hours that Larissa's family will drive is obtained as follows:

48 + 18 = 66 hours.

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