Sarah can make 5 tables in 3 days, how many can she make in 21 days?

Answer:

0.93x

Step-by-step explanation:

the total amount is:

x(1-15%+8%)=0.93x

so the answer is 0.93x

Answer:

Option B.

Step-by-step explanation:

Remember that the profit is defined as the difference between the revenue and the cost.

So, having a profit y = 0 means that the woodworker did not win nor lose anything.

Then the zeros of the function, the values of x such that the graph intersects the x-axis, are the prices such that she does not win nor loss anything.

In the graph we can see that the zeros are at:

x = 15 (the first one)

x = 70 (the second one)

so the zeros are at x = 15 and x = 70, and these are the prices such that the profit is zero, so at these prices she does not make nor lose money.

The correct option is B.

Answer:

x = 15 and x = 70, and these are the prices such that the profit is zero, so at these prices she does not make nor lose money.

Step-by-step explanation:

The value of h can be any value other than 2.

The augmented matrix of a consistent linear system must have a unique solution, which means the determinant of the coefficient matrix must be non-zero.

       [1 h

        3 6]

The determinant of this matrix is (1 * 6) - (3 * h) = 6 - 3h.

For the determinant to be non-zero and the system to be consistent, 6 - 3h must not be equal to zero, so h cannot be equal to 2.

Therefore, the value of h can be any value other than 2.

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Answer:

3.875

Step-by-step explanation:

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Answer:

B

Step-by-step explanation:

answer is based on results from the Cartesian plane

Answer: (5 × 8) - (5 × 1)

Step-by-step explanation:

When you use the distributive property, you essentially distribute a number to terms it is being multiplied by in order to make the calculation process easier.

When you use the distributive property, you distribute the number outside a multiplication statement to the numbers inside. In this case, 5 is the number outside, and 8 and 1 are the numbers inside.

When you distribute the number 5 to the eight, you are left with (5 × 8). However, you must still include 1, the other number in the parentheses, to finish the equation.

With 1, you go through the same process as you did before. You distribute the number 5 to the 1 and are left with (5 × 1). However, in the original equation, you are subtracting the 8 by the 1, so you must account for the subtraction sign.

You essentially subtract the number you get from (5 × 8) by the number you get from (5 × 1). Therefore, your answer is (5 × 8) - (5 × 1).

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

The amount paid for the surgery is given as follows:

$4,000.

The total amount Gina’s dad paid for her care was of:

$5,000.

The amounts are obtained applying the proportions in the context of this problem.

The coinsurance of 20% means that Gina's dad pays only 20% of the surgery's price after the deductible.

The deductible is given as follows:

$1,000.

Hence the price of the surgery after the deductible is of $1,000, and the amount paid for the surgery is given as follows:

0.2 x $2000 = $4,000.

Considering the deductible, the total amount paid is given as follows:

1000 + 4000 = $5,000.

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Answer: $20, $4,000, $5,020

Step-by-step explanation:

i got it right

Answer:

The pay is $93.50 (if counting the 15 minutes) or $88

Step-by-step explanation:

Just calculate how many hours the person worked, and multiply that by 11. They worked 8 hours, so they get $88. If you're counting the 15 minutes the person worked too, divide 11 by 4 (there are four 15 minute segments in an hour) which is 2.75. They worked 15 minutes over an hour twice so you just add $5.50 to $88, which is $93.50.

Answer:

I don't know what to do but

30 feet is to 40 feet is plus 10, 12 feet is to 16 feet is plus 4. I think if this wrong I am so sorry

Step-by-step explanation:

The starting price of a hotem room is $48.00.

After 1 year, this price increases by 5.1%, meaning it's increased by a factor of 1.051 or 1 + 0.051:

$48.00 (1 + 0.051) ≈ $50.45

After another year, this price increases by another 5.1%, so the previous amount is increased by a factor of 1.051, which is equivalent to 1.051² times the initial price:

$50.45 (1 + 0.051) = $48.00 (1 + 0.051)² ≈ $53.02

After another year, another increase:

$53.02 (1 + 0.051) = $48.00 (1 + 0.051)³ ≈ $55.72

And so on. You should start to see where the given formula comes from,

\(y = a(1+r)^t\)

where a = $48.00 is the starting price, r = 0.051 is the rate at which the price increases, and t is number of years.

Then in 32 years, the price of the room will be

$48.00 (1 + 0.051)³² ≈ $235.79

Answer:

Well poor Elena She won't fit through her door

P.S. thanks for the 5pts

Answer:

-3x + 6y = 3

Step-by-step explanation:

-4x + x = -3x

9y - 3y = 6y

9 - 6 = 3

9514 1404 393

Answer:

  (x, y) = (9, 5)

Step-by-step explanation:

My preferred method is to solve a system using a graphing calculator. That result is attached.

__

Here, you can multiply the second equation by 4 and add the first equation.

  4(x -3y) +(-4x +9y) = 4(-6) +(9)

  -3y = -15 . . . . . . . . . . simplify

  y = 5 . . . . . . . . . . . . divide by -3

  x -3(5) = -6

  x = -6 +15 = 9

The solution is (x, y) = (9, 5).

Answer:

-1, 9, 1 i hope this is helpful

Answer:

Step-by-step explanation 1 and 4

Answer:

a and d

Step-by-step explanation

Which ordered pairs show the location of the Empire State Building? Check all that apply.

Answer:

-3 and 4

Step-by-step explanation:

We can start naming the first number x

Hence, the second number would be 10+2x

Set up an equation.

10+2x+x=1

Combine like terms

10+3x=1

Subtract 10 from both sides

3x=-9

Divide both sides by 3.

x=-3

The first number is he first is -3.

Plug that into the expression for the second number.

10+2x

10+2(-3)

10-6

4

The two numbers are -3 and 4.

Answer:

4x-4 < -76

Step-by-step explanation:

Four times a number (x), minus 4, is less than -76.

Answer:

x is less than —18

Step-by-step explanation:

Check out the attached photo

Answer:

  x = 3

  x = -15

Step-by-step explanation:

Use the meaning of absolute value to make this into two equations.

  |2x +12| = 18

  2x +12 = ±18

  x +6 = ±9 . . . . . . divide by 2

  x = -6 ±9 . . . . . . subtract 6

  x = 3

  x = -15

The maximum value of the original data set is 109.

To determine the maximum value of the original data set from the given stemplot, we need to look at the rightmost digits in each stem and identify the highest value.

Looking at the stemplot:

O 10 | 0 0 8 9 8 9 0 0 0

0 20 | 5 4 7 9 6

0 30 | 1 4 6 7 7 9 7

0 40 | 0 0 2 5 5 7 7 9 9 8

0 50 | 1 2 2 2 3 4 5 5 7 8 9 9

0 60 | 0 0 0 3 3 3 3 6 8

The rightmost digits in each stem represent the original data values. We can see that the highest value occurs in the stem "10" with a rightmost digit of "9".

Therefore, the maximum value of the original data set is 109.

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Answer:

41.50

Step-by-step explanation:

The value of x is 23.78 cm and this can be determined by using the cosine function which is an important trigonometric function.

Given :

A right triangle. The hypotenuse is labeled as 25 centimeters. The base is labeled as x.

Using the trigonometric functions the value of x can be determined. The cosine function can be used in order to determine the value of 'x'.

The cosine function is the ratio of the base to the hypotenuse. It is given by:

\(\rm cos\theta=\dfrac{Base}{Hypotenuse}\)

Now, put the values of the base, hypotenuse, and the angle \(\theta\) in the above equation.

\(\rm cos 18^\circ = \dfrac{x}{25}\)

\(\rm x = cos18^\circ \times 25\)

x = 23.78 cm

So, the correct option is D).

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Answer: the answer is (3,-2)

Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)

therefore

(-3,2) becomes (3,-2)

I'm pretty sure

Answer:

1/18

Step-by-step explanation:

1/2 divided by 9 = 1/2 * 1/9 = 1/18

Answer:

4

Step-by-step explanation:

2/3 • 6

*Multiply 2 and 6 by 3.

= (2 × 6) / 3

= 12/3

*12 divided by 3 is equal to 4.

= 4

___________

hope it helps!

Answer:

b

Step-by-step explanation:

a segment joining the midpoints of two sides of a triangle ( midsegment ) is half the length of the third side.

PQ is a midsegment of the triangle , then

PQ = \(\frac{1}{2}\) RT , that is

15x - 17 = \(\frac{1}{2}\) (23x - 6) ← multiply both sides by 2 to clear the fraction

30x - 34 = 23x - 6 ( subtract 23x from both sides )

7x - 34 = - 6 ( add 34 to both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Then

RT = 23x - 6 = 23(4) - 6 = 92 - 6 = 86

The numeric value of the function f(x) = 14/[3 + ae^(kx)] at x = 2 is given as follows:

f(2) = 0.172.

The function for this problem is defined as follows:

f(x) = 14/[3 + ae^(kx)]

When x = 0, y = 2, hence we can obtain the coefficient a as follows:

2 = 14/(3 + a)

6 + a = 14

a = 8.

Hence:

f(x) = 14/[3 + 8e^(kx)]

When x = 1, y = 1/2, hence the coefficient k is given as follows:

0.5 = 14/(3 + 8e^k)

1.5 + 4e^k = 14

4e^k = 12.5

e^k = 12.5/4

k = ln(12.5/4)

k = 1.14.

Hence:

f(x) = 14/[3 + 8e^(1.14x)]

Then the numeric value of the function at x = 2 is given as follows:

f(2) = 14/[3 + 8e^(1.14(2))]

f(2) = 0.172.

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The slope of the line is 7/9

It is important to note that the equation of a line is represented as;

y = mx + c

Where;

The formula for calculating the slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

Now, let's substitute the values into the formula from the points given we have;

Slope, m =1 -(-6)/ -3 - (-6)

expand the bracket

Slope, m = 1 + 6/ 3 + 6

add the values

Slope, m = 7/9

Hence, the value is 7/9

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The possible exact values of the trigonometric functions of θ are:

sin θ = -1/√3,  cos θ = √3/3, sec θ = √3

The law of sines, also known as the sine rule, is a mathematical principle that relates the sides and angles of a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is constant for all three sides of the triangle.

Trigonometric functions are mathematical functions that relate angles to the ratios of the sides of a right triangle. The six primary trigonometric functions are sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). Each function represents a different ratio of two sides of a right triangle and can be used to solve problems in geometry, physics, engineering, and other fields that involve angles and triangles.

According to the given information,

Given that tan θ = -√(1/3) and 0 < θ < 180°, we can use the trigonometric identities to find the values of the other trigonometric functions of θ.

First, we can use the definition of the tangent function:

tan θ = opposite/adjacent

Since tan θ = -√(1/3), we can assign opposite = -1 and adjacent = √3 as their ratio equals -√(1/3). This means that the terminal side of the angle θ will lie in the fourth quadrant of the unit circle since the opposite is negative and the adjacent is positive.

Next, we can use the Pythagorean identity:

sin²θ + cos²θ = 1

to find the value of sin θ. Since we know that θ is in the fourth quadrant, we can assign sin θ = -1/√3, since sin θ is negative in the fourth quadrant and the ratio of opposite/hypotenuse of a 30-60-90 triangle is √3/2, which means the ratio of hypotenuse/opposite is 2/√3 = √3/3.

Then, we can use the definition of the cosine function:

cos θ = adjacent/hypotenuse

to find the value of cos θ. We know that adjacent = √3 and the hypotenuse is positive (since it is a length), so we can assign cos θ = √3/3.

Finally, we can use the reciprocal identity:

sec θ = 1/cos θ

to find the value of sec θ. We know that cos θ = √3/3, so we can assign sec θ = √3.

Therefore, the possible exact values of the trigonometric functions of θ are:

sin θ = -1/√3

cos θ = √3/3

tan θ = -√(1/3)

sec θ = √3

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The fraction of height at which the collision occured is , y/y₀ = 1/2 + v₀²/(2 g y₀) .

For ball A

Given that the ball is dropped and its initial velocity is zero, the equation is

= - 2 g (y₀-y)

For ball B

v {B}^2 = v₀² - 2 g y

We swap out

2v {B}^2 = -2 g (y₀ -y)

g y0 + 2 g y = -v B2

v {B}^2 = v₀² - 2gy

It can be solved because it is a system of two equations with two unknowns. Let's add and multiply by -1.

0 = g y₀ + v₀² -2gy

Bypassing the height

y = (g yo plus v02) / 2g

y = yo / 2 + v₀² / 2g

In this exercise, we'll assume that the building's height and ball B's initial velocity are both known.

The percentage is

y/yo

= 1/2 + v₀²/(2gyo) (2gyo)

Velocity and speed describe how quickly or slowly an object is moving. We frequently encounter circumstances when we must determine which of two or more moving objects is going faster.

If the two are travelling on the same route in the same direction, it is simple to determine which is quicker.

It is challenging to identify who is moving the fastest when their motion is in the other direction.

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