What value of a makes the equation an identity? 3a(x-4) = 8x-16

Step-by-step explanation:

For a number,

\(r( \cos(x) + i sin(x))\)

r is the modulus and

x is the argument

So here.

r is 2.

x is 2 pi/3

So the modulus is 2

the argument is 2 pi/3

Answer:

Modulus: 2

Argument: 2 pi/3

Step-by-step explanation:

A P E X

Answer:

the sigma quality level is 8.33

Step-by-step explanation:

given the data in the question;

Target of a delivery process = 5 hours plus or minus one hour i.e 5 ± 1

standard deviation of the process σ = 0.24 hours.

so,

The Lower Limit \(L_L\) of the target will be;

\(L_L\) = 5 hours - 1 hours = 4 hours

And the Upper Limit \(U_L\) of the target will be;

\(U_L\) = 5 hours + 1 hours = 6 hours

sigma quality level = ?

Now, to get the sigma quality level, we use the following expression;

sigma quality level = ( Upper Limit \(U_L\) of the target - Lower Limit \(L_L\) of the target ) / standard deviation of the process

sigma quality level = ( \(U_L\) - \(L_L\) ) / σ

so we substitute in our values

sigma quality level = ( 6 - 4 ) / 0.24

sigma quality level = 2 / 0.24

sigma quality level = 8.33

Therefore, the sigma quality level is 8.33

Loan amount (P): $75,500

Annual Percentage Rate (APR): 7.9%

Loan term (n): 72 months

Monthly interest rate = APR / 12 = 7.9% / 12 = 0.0079

M = P * (r * (1+r)^n) / ((1+r)^n - 1)

M = 75500 * (0.0079 * (1+0.0079)^72) / ((1+0.0079)^72 - 1)

$1,217.17

                                                       Answer

\(--------------------------------------------\)

\(\frac{5}{6}-\frac{4}{6}\) = \(\frac{1}{6}\)

\(0.8333333333\) - \(0.6666666667\) = \(0.1666666666\)

\(\frac{1}{6}\) = \(0.1666666666\)

\(It's\)  \(\frac{1}{6}\) \(because\) \(5-4\) = \(1\)

\(and\) \(the\) \(denominator\) \(is\) \(the\) \(same.\)

\(So\), \(it's\)  \(\frac{1}{6}\)

\(--------------------------------------------\)

Hope this helps! <3

\(--------------------------------------------\)

Answer:

She will walk and run 148.2 miles in a year

Step-by-step explanation:

She walks: 0.75+0.5=1.25 miles each week

And: 1.25 *52=65 miles a year

She runs : 1.6 miles a week

And: 1.6*52 =83.2 miles a year

Total miles : 83.2+65=148.2 miles

As a ladybug on the outer surface of the Klein bottle, there is no direct path to the inside. However, you can travel along a specific type of curve called a "cross-cap curve" to reach the inside. and using topology.

To do this, start by moving along the outer surface of the Klein bottle until you reach the point directly opposite to your starting position. Then, imagine folding the surface of the bottle in half along a line that runs through this point.

This folding will create a new surface that intersects with the original surface of the bottle along a cross-cap curve. Follow this curve until you reach the inside of the Klein bottle, where the special gentleman bug is waiting for you.

It's important to note that the Klein bottle is a non-orientable surface, which means that there is no "inside" or "outside" in the traditional sense. However, the concept of inside and outside can still be useful for navigation purposes.

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Answer:

The price of the shirt is $24.63.

Step-by-step explanation:

Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:

x + (x - 15) = 34.26

Simplifying, we get:

2x - 15 = 34.26

Adding 15 on both sides:

2x = 49.26

Dividing by 2:

x = 24.63

Therefore, the price of the shirt is $24.63.

Answer:

Vertex:

(

3

2

,

−

41

4

)

(

3

2

,

-

41

4

)

Focus:

(

3

2

,

−

10

)

(

3

2

,

-

10

)

Axis of Symmetry:

x

=

3

2

x

=

3

2

Directrix:

y

=

−

21

2

y

=

-

21

2

x

y

0

−

8

1

−

10

3

2

−

41

4

3

−

8

4

−

4

Vertex:

(

3

2

,

−

41

4

)

(

3

2

,

-

41

4

)

Focus:

(

3

2

,

−

10

)

(

3

2

,

-

10

)

Axis of Symmetry:

x

=

3

2

x

=

3

2

Directrix:

y

=

−

21

2

y

=

-

21

2

x

y

0

−

8

1

−

10

3

2

−

41

4

3

−

8

4

−

4

Step-by-step explanation:

Answer:

the answer is -3.

Step-by-step explanation:

Answer:

60.48

Step-by-step explanation:

Answer:51.52

Step-by-step explanation:

Answer:

c Christopher

Step-by-step explanation:

hope this helps

Answer:

D

Step-by-step explanation:

The greatest common factor of 12 and 24 is 12. The only option which accounts for this is D.

Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

Hope this answer your question

Please rate the answer and

mark me ask Brainliest it helps a lot

The graph of f(x) will be an upside-down, 3 units to the left, 4 units downward V-shaped curve.

The absolute value function's graph is V-shaped, with its vertex located at (0,0). The V-shaped graph is reversed when the function is negated, and the graph is shifted downward when a constant is subtracted.

The characteristic that every input is associated with exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837:

from the questions:

The absolute value function f(x) = |x| has been translated to the left by 3 units and down by 4 units, transforming it into the function

f(x) = -|x + 3| - 4.

As the vertex of the absolute value function is at (0,0), the shift will cause the vertex of f(x) to move to (-3,-4) instead.

The absolute value function's graph is V-shaped, with its vertex located at (0,0). The V-shaped graph is reversed when the function is negated, and the graph is shifted downward when a constant is subtracted.

As a result, the graph of f(x) will be a V-shaped curve that has been rotated 180 degrees, shifted 3 units to the left, and descended 4 units.

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Answer:

c 4

Step-by-step explanation:

Answer:

X=22

Step-by-step explanation:

90-68=22

Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.

Here in the question it is given that,

We have to find the number of seats in each row.

Let us assume that the number of seats in each row be x.

From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,

Number of seats in one row = Number of rows + 7

x = Number of rows + 7

⇒ Number of rows = x - 7

Total number of seats in the auditorium can be written as,

⇒ (Number of seats in one row)(Number of rows) = Total number of seats

(x)(x - 7) = 2244

x² - 7x = 2244

⇒ x² - 7x - 2244 = 0

By using quadratic formula we can find the root,

x = (-b ± √b² - 4ac)/2a

here in the question, a = 1, b = -7, c = -2244

√b² - 4ac = √(-7)² - 4(1)(-2244)

√b² - 4ac = √49 + 8976

√b² - 4ac = √9025

√b² - 4ac = 95

x = (-b ± √b² - 4ac)/2a

x = (7 ± 95)/2

x = 102/2 or x = -88/2

⇒ x  = 51 or x = -44

Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.

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Answer:

p=2

Step-by-step explanation:

4p+2≤10

    -2   -2

4p≤8

divide by 4

p≤2

Answer:

p ≤ 2

Step-by-step explanation:

In hyperbolic geometry, the angle sum of a triangle is always less than 180 degrees.

A lune is a wedge of a sphere with angle θ, represented by L(θ) in the proof.

α, β, and γ are the three angles of the triangle.

4πr²+4area[αβγ]=2L(α)+2L(β)+2L(γ)

2(2πr²+2area[αβγ])=2(L(α)+L(β)+L(γ))

2πr²+2area[αβγ]=L(α)+L(β)+L(γ)

At this point, we need to use a theorem that states that a lune whose corner angle is θ radians has an area of 2θr².

2πr²+2area[αβγ]=2αr²+2βr²+2γr²

2πr²+2area[αβγ]=2r²(α+β+γ)

π+area[αβγ]r²=α+β+γ

At this point, it is clear that the sum of the angles is equal to π plus the area[αβγ]r² (which cannot be zero).

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The values of the angles x, y are x=60°, y=85°

In Euclidean geometry, an angle is a figure made up of two rays that have a shared vertex, also known as a common terminus, and are referred to as the angle's sides. The angles of two rays are situated in the plane containing the rays. An angle is also created when two planes intersect at an angle. These are referred to as dihedral angles. Another technique to define two curves is to specify the angle generated by rays that are tangent to the intersection of two curves. Angle is another word for how long a rotation or angle is.

Let 2x°, x°

Supplementary angles are

2x°+x°=180°

3x°=180°

x=60°

And y°, (y+10°) are

Supplementary angles are

y°+y+10°=180°

2y+10°=180°

2y=170°

y=85°

Therefore, The values of the angles x, y are x=60° and y=85°.

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Answer:

angle <B = 76

Step-by-step explanation:

The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.

We can write the following equation with this information to find the value of angle <B

<B + 71 = 147 subtract 71 from both sides

<B = 76

Answer: 3 × 10⁴ miles²

Step-by-step explanation:

Given that:

Estimated Surface area of Lake = 30,000 square miles

Expressing the estimated area as a whole number multiplied by a power of ten

Hence, we are required to express the surface area in standard form:

30,000 miles ² in standard format:

30,000 is equivalent to (3 × 10,000)

3 is a whole number

10,000 = (10 * 10 * 10 * 10)= 4 th power of 10

10,000 = (10 * 10 * 10 * 10) = 10⁴

Hence,

3 × (10 * 10 * 10 * 10) = 3 × 10⁴ miles²

Answer:

Straight angle 180 degrees

The surface area of the figure is 344 m².

Area is the region bounded by a plane shape.

To calculate the surface area of the figure, we use the formula below.

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 2

Hence, the area is 344 m².

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Answer:

1 tenth a yard to have 1 tenyard left

Step-by-step explanation:

The rate of interest is 73%.

What is the annual rate?

The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.

Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².

A dollar to triple in 2 years.

Thus putting X = 3 in X = (1+r) ²

3 = (1+r) ²

Take square root on both sides:

√3 = 1 + r

Subtract 1 from both sides:

r = √3 - 1

r = 0.73

r = 73%

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Answer:

The cost to rent each chair is $0.6.

The cost to rent each table is $10.5.

Step-by-step explanation:

Let's denote the cost of renting one chair as c and the cost of renting one table as t. Then we can write two equations based on the given information:

5c + 3t = 39 (equation 1)

2c + 12t = 129 (equation 2)

We can use these equations to solve for c and t. One way to do this is to solve for one variable in terms of the other in one of the equations, and then substitute that expression into the other equation. For example, we can solve equation 1 for c:

5c + 3t = 39

5c = 39 - 3t

c = (39 - 3t)/5

Now we can substitute this expression for c into equation 2:

2c + 12t = 129

2[(39 - 3t)/5] + 12t = 129

Simplifying and solving for t, we get:

(78 - 6t)/5 + 12t = 129

78 - 6t + 60t = 645

54t = 567

t = 10.5

So the cost of renting one table is $10.5. We can substitute this value back into equation 1 to solve for c:

5c + 3t = 39

5c + 3(10.5) = 39

5c = 3

c = 0.6

Therefore, the cost of renting one chair is $0.6.

In summary, the cost to rent each chair is $0.6 and the cost to rent each table is $10.5.

Answer:

1) 9

2) 27

3) Read explanation below!

Step-by-step explanation:

1) Use the Pythagorean theorem to find AD. Show your working

To find '?' we first have to expand the indices...

Now work out '?'

2) Find AC. Show your working

We have found out that AD is 9 and to find AC we have to add 18!

3) Is ΔABC a right triangle? Explain

We can that ΔABC is not a right angle as none of the angles in the triangle are 90°!  If it was a right angled triangle we would see the ∟sign on one of the angles. Even though there are two of those in the middle it does not count as the question is asking about ΔABC!!

Have a lovely day :)

The number of boys who downloaded the full game Kaleb developed is 2,440 boys

Total downloads in the first week for girls = 7,320

Total downloads in the first week for boys = 14,640

Fraction of boys who downloaded the full game = 1/6

Number of boys who downloaded the full game = 1/6 × 14,640

= 2,440 boys

Hence, 2,440 boys downloaded the full game.

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