(4,-12) perpendicular y=14

Answer:

the product of the decimal equivalents of all discount in the series

Answer:

5 yd

Step-by-step explanation:

Missing side =  11 - 6 = 5 yd

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

To find the value of x, we can set the two angle measures equal to each other and solve for x.

Given:

mZA = (4x - 2)°

mZB = (6x - 20)°

Setting them equal to each other:

4x - 2 = 6x - 20

Now, we can solve for x:

4x - 6x = -20 + 2

-2x = -18

Dividing both sides by -2:

x = -18 / -2

x = 9

Therefore, the value of x is 9.

Answer:

The answer is 9.

Step-by-step explanation:

We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:

mZA + mZB + mZC = 180°

Substituting the given values, we get:

(4x - 2)° + (6x - 20)° + mZC = 180°

Simplifying the left side, we get:

10x - 22 + mZC = 180°

Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:

mZA = mZB

Substituting the given values and simplifying, we get

4x - 2 = 6x - 20

Solving for x, we get:

x = 9

Therefore, the value of x is 9.

The four rectangles can be painted with 7 different paints in 840 ways.

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.

The formula for permutattion is;

\(P_r_n = \frac{n!}{(n-r)!} \\\)

where r = 4

n = 7

Substituting the values for n and r

\(P = \frac{7!}{(7-4)!}\)

\(P = \frac{7!}{3!}\)

P = 840 ways.

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Answer:

1.16667

Step-by-step explanation:

When told in the question that random number of sample is tested

z test statistic formula = x - x bar(x with bar above it) /Standard error

From the question

x = raw score = 46 pounds

x bar (x with bar above it)= sample mean = 45.5 pounds

Standard Error = σ/√n

Standard deviation = σ = 3

n = random number of samples = 49

z = 46 - 45.5/3/√49

z = 0.5/ 3/7

z =0.5/ 0.4285714286

z = 1.16667

Therefore , the value of the z test statistic = 1.16667

Answer:

1.17

Step-by-step explanation:

Answer:

  x = 3

Step-by-step explanation:

Maybe you want the value of x such that ...

  4(6^x) = 864

Dividing by 4 gives ...

  6^x = 216

You may know that 216 = 6^3. Using that, we can equate exponents:

  6^x = 6^3

  x = 3

Alternatively, we can use logarithms to find x. Taking logs gives ...

  x·log(6) = log(216)

  x = log(216)/log(6) = 3

The amount is 4.8, base is 12 and the precent of the given condition is unknown.

Define base:

In mathematics, the term "base" refers to a fixed number or symbol used as a point of reference for counting, measuring or representing a quantity.

In the decimal system, for example, the base is 10, because there are 10 possible digits (0-9) that can be used to represent a number. In binary system, the base is 2, because there are only 2 possible digits (0 or 1) that can be used to represent a number.

What about precent?

In mathematics, percent is a way of expressing a number as a fraction of 100. The term "percent" means "per hundred," so a number expressed as a percent represents a fraction of 100.

To convert a number to a percent, we multiply it by 100. For example, if we want to express the number 0.25 as a percent, we can multiply it by 100 to get:

⇒ 0.25 x 100 = 25%

According to the given information:

Percent: The precent is the number with the % symbol

Base: The base is the whole amount which in this case is 12.

Amount: The amount based on the precent is 4.8

So, from overall condition we have that option 'a' is correct.

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Answer: 1

Step-by-step explanation:

Factors of 27: 1, 3, 9 and 27.

Factors of 13: 1 and 13

Answer:

1 as 13 is a prime number and can only be divided by 1 and 13

The area of the circular plate is approximately 43.14 square inches.

What is circle?

A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center.

The circumference of a circle can be calculated by the formula:

C = 2πr

where C is the circumference, π (pi) is a constant value approximately equal to 3.14, and r is the radius of the circle.

We are given that the circumference of the circular plate is 23.3 inches, so we can use this information to find the radius:

23.3 = 2πr

Dividing both sides by 2π, we get:

r = 23.3 / (2π) ≈ 3.71 inches

Now that we know the radius, we can use the formula for the area of a circle:

A = πr²

Substituting the value we found for r, we get:

A = π(3.71)²

A = 3.14 × 13.76

A ≈ 43.14 square inches

Therefore, the area of the circular plate is approximately 43.14 square inches.

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So, the equation of the axis of the segment AB is (A) y = 1/2 - x/2.

What is slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

The slope of the line passing through points A and B can be calculated as follows:

slope = (change in y) / (change in x) = (1-0) / (1-0) = 1/1 = 1

The equation of a line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

To find the y-intercept, we can use point A (0,0) and substitute the slope value.

y = mx + b

0 = 1(0) + b

b = 0

Therefore, the equation of the line passing through points A and B is:

y = 1x + 0

Simplifying, we get:

y = x

So, the answer is (A) y = 1/2 - x/2. However, this is not one of the given answer choices. We can also write the equation in point-slope form as y - y1 = m(x - x1) using point A, which gives:

y - 0 = 1(x - 0)

y = x

This confirms our earlier answer.

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Answer:

Part A = 73.91%

Part B = 1/2 probability

Step-by-step explanation:

Part A - 90 + 20 + 80 + 40 = 230(total students)

90 + 80 = 170 students who like tv and reading

170/230 × 100 = 73.91%

Part B - 20(no read)/40(no tv) = 1/2 probability

Answer:

1,0

Explanation:

Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.

Answer:

A) 267

B) 340

C) 96

Step-by-step explanation:

A

Add the number of students who either drink neither or only coffee.

188 + 79 = 267

B

Add all three numbers except the one outside of the diagram (79)

96 + 56 + 188 = 340

C

Just look at the number in the 'drink tea' circle. 96

For the transformations of the triangle, we have that:

1. The translation of triangle ABC preserves side lengths and angles.

2. The dilation of triangle ABC preserves angles but not side lengths.

Hence the correct options are, respectively, C and B.

A translation involves shift left, shift right, shift down, or shift up, meaning that just the coordinates of the figure change, not the angles or the side lengths,

1. The translation of triangle ABC preserves side lengths and angles.

For a dilation, the coordinates of the vertices are multiplied by a constant, hence the side lengths change while the angles remain constant, thus:

2. The dilation of triangle ABC preserves angles but not side lengths.

Hence the correct options are, respectively, C and B.

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It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

We have,

To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.

The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.

Let's calculate the number of half-lives required to reach 150mg:

Initial amount of aspirin = 625mg

Final amount of aspirin = 150mg

625mg / 150mg = 4.17

This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.

Since each half-life is 6 hours, we can calculate the total time it will take:

Total time = Number of half-lives * Half-life duration

Total time = 4.17 x 6 hours

Total time ≈ 25 hours and 1 minute

Therefore,

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

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Answer:

g(h(8)) = 38

Step-by-step explanation:

Hello!

Work from inside to out. First find h(8):

Now, plug in -14 for g(x). Remember, we are working inside to out.

So, g(h(8)) is 38.

Answer:

first line third man is army's

Answer: Yeah...Life Goes On, life goes on

Step-by-step explanation:

Answer:

Step-by-step explanation:

the zeros are -5, and -6

x+ 6 = 0 so x= -6 ; at this zero the graph crosses the x-axis because the degree for (x+6)^1 is 1 the  multiplicity  is 1

x+5 = 0 so x= -5; at this zero the graph crosses the x-axis because the degree for (x+5)^3 is 3 and the multiplicity is 3

Useful facts to know ;

If the multiplicity is odd the graph crosses the x-axis,

if the multiplicity is even the graph touches the x-axis and go

Answer:

1 and 3

Step-by-step explanation:

because 5 and 3 have the same value and since 5 and 1 add up to 90 degrees, 3 and 1 must also add up to 90 degree

Angles ∠1 and ∠3 are complementary but not adjacent.

Complementary angles are two angles that add up to 90 degrees.

Adjacent angles are two angles that share a common vertex and a common side.

In the image, angles ∠1 and ∠3 share a common vertex, but they do not share a common side. They are also not adjacent to each other, as there is an angle in between them (angle ∠4).

The measure of angle ∠1 is 48 degrees. The measure of angle ∠3 is 42 degrees. Therefore, angles ∠1 and ∠3 add up to 90 degrees, making them complementary angles.

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Answer:

Step-by-step explanation:

An radical expression usually involves a radicand which is the number or expression inside the radical symbol √ and an index which is the number outside the radical symbol indicating the root, the radicand raised to the power of the reciprocal of the index.

But in the case of expression "U-2/5" it's not a radical expression as is. It's a fractional expression with variable U and a constant -2/5.

It can be written as √(U-2)/5 or U- √(2/5) if you want to express it as an radical expression.

The given function y = 4(3/8)^x represents exponential decay.

As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.

The given function is y = 4(3/8)^x. To determine if the function represents growth, decay, or neither, we need to examine the base of the exponent, which is (3/8).

When the base of an exponential function is between 0 and 1, such as (3/8) in this case, it represents exponential decay. This is because as the exponent (x) increases, the value of the function decreases.

In the given function, the coefficient 4 multiplied by the decaying exponential term (3/8)^x indicates that the function starts with an initial value of 4 and then exponentially decreases. The term (3/8)^x represents the decay factor, where x determines the extent of decay.

Therefore, we can conclude that the given function, y = 4(3/8)^x, represents exponential decay. As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.

In summary, the given function y = 4(3/8)^x represents exponential decay.

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Answer:

A

Step-by-step explanation:

Hey there!

-3(7 + 5g)

DISTRIBUTE -3 WITHIN the PARENTHESES

= -3(7) - 3(5g)

= -21 - 15g

= -15g - 21

Good luck on your assignment and enjoy day!

~Amphitrite1040:)

Answer:

60 kilometers

Step-by-step explanation:

1 centimeter = 3 kilometers

20 × 3 = 60

Answer:

The answer is OB 5 gallons

Step-by-step explanation:

Its because if u divide 20 ÷ 4 you get five and there are 4 quarts in a gallon

Answer:

B. 5 gallons.

Step-by-step explanation:

if there are 4 quarts in a gallon and you have 20 quarts

20 devided by 4 = 5.

5 gallons.

Step-by-step explanation:

\( \underline{ \underline{ \text{Given}}} : \)

\( \underline{ \underline{ \text{To \: find}}} : \)

\( \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : \)

\( \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}\)

⤑ \( \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }\)

⤑ \( \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }\)

⤑ \( \sf{ \sqrt{100 - 64}} \)

⤑ \( \sf{ \sqrt{36}} \)

⤑ \( \boxed{ \sf{6\: units}}\)

\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

0.0046

Step-by-step explanation: