Answer the following. Solve for X

The correct form of the equation can be written as y = 35/6 x + 2

We have to know that the equation have been given to us in the point that we have as; y - 5/7 = 5x - 6/6. We would then have to multiply both sides with the LCM of the equations and then we have that;

42(y - 5/7) = 42(5x - 6)/6

6(y - 5) = 7(5x - 6)

6y - 30 = 35x - 42

Collecting the like terms we have that;

6y - 35 x = -42 + 30

6y - 35x = -12

6y = 35x + 12

y = 35/6 x + 12/6

y = 35/6 x + 2

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The numbers of runners that are 50 and above are 3000.

Using the pie chart,

If there are 1500 runners that are under 20, therefore,

1500 = 10 / 100 × x

where

x = total number of runners

10x = 150000

x = 15000

Therefore,

the number of runners that are 50 and above = 20 / 100 × 15000 = 3000

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After 10 years with a Compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.

The amount that will be in Carrie's account after 10 years with compound interest, we can use the formula Pt = P0 ⋅ (1 + r)^t.

Given:

P0 = $1480 (initial deposit)

r = 1.9% = 0.019 (interest rate as a decimal)

t = 10 (number of years)

Substituting these values into the formula, we get:

Pt = $1480 ⋅ (1 + 0.019)^10

Using a calculator, we can evaluate the expression inside the parentheses:

(1 + 0.019)^10 ≈ 1.201223

Now we can calculate the final amount in Carrie's account:

Pt ≈ $1480 ⋅ 1.201223

Pt ≈ $1777.87

Therefore, after 10 years with a compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.

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The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. The student writes the proportion:4/6=24/16

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

∠E = tan

∠D = tan

Step-by-step explanation:

Common sense, only perpendicular and base is present.

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

Step-by-step explanation:

10

Ws

Answer:

Double the bacteria, 2000, 4,000, 8,000, 16,000 so on.

Step-by-step explanation:

Hope this helps

The equation which represents the transformation of the y-intercept of the parent quartic function,\(f(x) = x^4\)   is given by     \(g(x)=(x-3)^4-1\) .

Transformation is the act or process of changing completely. In this also the graph changes or transform.

We have,

Parent Quadratic equation \(f(x)=x^4\)

And

It translated \(3\) units to the right and \(1\) unit down.

And the parent quadratic function is in the form of \(f(x) = a(x-h)^4 + k.\)

Here,

"h" tells if the vertex of the parabola is going left or right.

"k" determines if the vertex of the parabola is going up or down.

So, According to the question;

We have,

\((a)\)   \(3\)  units to the right

\((b)\)   \(1\) unit down

So,

Equation would be  \(g(x)=(x-3)^4-1\)  means that you have moved the vertex of the parabola  \(3\)  units to the right and  \(1\) units down.

(Always remember if moving right means \((x-3)\) sign would be minus because in parent quadratic function is in the form of \(f(x) = a(x-h)^4 + k\) we have minus sign.)

Hence, we can say that the equation which represents the transformation of the y-intercept of the parent quartic function,\(f(x) = x^4\)   is given by     \(g(x)=(x-3)^4-1\) .

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Out of 25,000 bulbs, a random sample of 2% or 500 bulbs were tested.  The probability of a bulb having none of the defects is 0.95.

The number of bulbs with defects can be calculated as follows

Total number of bulbs tested = 2% of 25000 = 500

Number of bulbs with only d1 defect = 40 - 25 = 15

Number of bulbs with only d2 defect = 60 - 25 = 35

Number of bulbs with both d1 and d2 defects = 25

Therefore, the total number of defective bulbs is 15 + 35 + 25 = 75.

The probability that a bulb produced by the company has none of the defects is equal to the complement of the probability that it has at least one defect.

P(no defects) = 1 - P(at least one defect)

To calculate P(at least one defect), we can use the formula for the union of events

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

where A and B are events, and P(A ∩ B) is the probability that both A and B occur.

Let D1 be the event that a bulb has d1 defect, and D2 be the event that a bulb has d2 defect. Then

P(at least one defect) = P(D1 ∪ D2) = P(D1) + P(D2) - P(D1 ∩ D2)

We know that P(D1) = 15/500 = 0.03, P(D2) = 35/500 = 0.07, and P(D1 ∩ D2) = 25/500 = 0.05.

Substituting these values, we get

P(at least one defect) = 0.03 + 0.07 - 0.05 = 0.05

Therefore,

P(no defects) = 1 - P(at least one defect) = 1 - 0.05 = 0.95

So the probability that a bulb produced by the company has none of the defects is 0.95.

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I think E. would be the answer

Hope this helps?

Answer:

The correct answer is C) The scale factor is multiplied by the scale figure's lengths.

When using a scale factor, you are typically working with a "scale figure," which is a smaller or larger version of the original figure. To determine the lengths of the original figure using a scale factor of 0.25, you would multiply each length of the scale figure by 0.25.

For example, if the scale figure has a length of 8 units, you would multiply 8 by 0.25 to get 2, which would be the corresponding length of the original figure. So if the original figure was four times larger than the scale figure, it would have a length of 32 units (4 times 8).

Therefore, when using a scale factor to determine the lengths of an original figure, you need to multiply each length of the scale figure by the scale factor to get the corresponding length of the original figure.

Step-by-step explanation:

Answer:

\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)

Step-by-step explanation:

\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)

\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)

A table of values is shown.  

At hour 1, they have travelled 70 miles.  

At hour 2, they have travelled 140 miles.  

They travel 70 miles per hour.

distance travelled = 70 * hours.

test a point

140 miles = 70 ( 2 )

This is true.

Now, input 11.

distance travelled after 11 hours = 70 (11)

770 miles in 11 hours

Hope this helps,

Jeron

:- )

Answer:

see explanation

Step-by-step explanation:

The area (A) of a sector is calculated as

A = area of circe × fraction of circle

   = πr² × \(\frac{0}{360}\) ← where θ is in degrees

[ note that 360° = 2π radians ], then

A = πr² × \(\frac{0}{2\pi }\) ← where θ is in radians

( Cancel π on numerator/ denominator )

A = \(\frac{1}{2}\)θr²

9514 1404 393

Answer:

  top down: 2, 4, 1, 7, 6, 5, 3, 8

Step-by-step explanation:

It appears the expected order may be ...

__

Write the formula for a sector area of a circle with central angle, θ, in degrees.

  \(\textit{Area of a Sector}=\dfrac{\theta}{360^{\circ}}\cdot\pi r^2\)

Replace 360° with 2π radians.

  \(\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}\)

Replace the angle ratio in degrees with the angle ratio in radians.

  \(\textit{Area of a Sector}=\dfrac{\theta}{2\pi}\cdot\pi r^2\)

Simplify by cancelling

  \(\textit{Area of a Sector}=\dfrac{1}{2}\theta r^2\)

Answer:

y=4x-1

Step-by-step explanation:

i know the 4x is right not sure about the other blank

Answer:

y=4x-1

Step-by-step explanation:

The amount of the change he can get back at the cash counter will be 21.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

In a supermarket, the cost of 1 kg of pork, fish, and prawns is RM 3, RM 7, and RM 13 respectively. Ronald has to buy at least 3 kg of pork, 1 kg of fish, and 1 kg of prawn for tonight's dinner for RM 50.

Let the weight of pork be x, fist be y, and prawns be z. And let A be the amount.

Then the linear equation will be given as

3x + 7y + 13z = A

Then the amount of money if Ronald has to buy at least 3 kg of pork, 1 kg of fish and 1 kg of prawn for tonight's dinner will be

A = 3 × 3 + 7 × 1  + 1 3 × 1

A = 9 + 7 + 13

A = 29

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Answer:

a. Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x  ∃y P(x,y)  ∧ ¬Q(x,y) ]

b. Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y  [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]

c. Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [P(x,y)]  ∨ ∃x ∃y ¬ [Q(x,y)]

Step-by-step explanation:

a.∃x ∀y(P(x,y) → Q(x,y))

Negation = ¬ [ ∃x ∀y(P(x,y) → Q(x,y)) ]

                = ∀x  ¬ [ ∀y(P(x,y) → Q(x,y)) ]

                = ∀x  ∃y ¬ [ (P(x,y) → Q(x,y)) ]

                = ∀x  ∃y ¬ [  ¬P(x,y)  ∨ Q(x,y) ]

                = ∀x  ∃y P(x,y)  ∧ ¬Q(x,y) ]

Negation of ∃x ∀y(P(x,y) → Q(x,y)) = ∀x  ∃y P(x,y)  ∧ ¬Q(x,y) ]

b. ∃x ∀y(P(x,y) → P(y,x))

Negation = ¬ [ ∃x ∀y(P(x,y) → P(y,x)) ]

               = ∀x ¬ [ ∀y(P(x,y) → P(y,x)) ]

               = ∀x ∃y ¬ [ (P(x,y) → P(y,x)) ]

               = ∀x ∃y ¬ [ ( P(x,y) ∧ P(y,x) ) ∨ ( ¬P(x,y) ∧ ¬P(y,x) )]

               = ∀x ∃y ¬ [ P(x,y) ∧ P(y,x) ] ∧ ¬[ ¬P(x,y) ∧ ¬P(y,x) ]

               = ∀x ∃y  [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [ P(x,y) ∨ P(y,x) ]

∴ we get

Negation of ∃x ∀y(P(x,y) → P(y,x)) = ∀x ∃y  [ ¬P(x,y) ∨ ¬P(y,x) ] ∧ [P(x,y) ∨ P(y,x)]

c. ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y)

Negation = ¬ [ ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) ]

                = ¬ [ ∃x ∃y P(x,y) ]  ∨ ¬ [ ∀x ∀y Q(x,y) ]

                = ∀x¬ [  ∃y P(x,y) ]  ∨ ∃x ¬ [ ∀y Q(x,y) ]

                = ∀x ∀y ¬ [ P(x,y) ]  ∨ ∃x ∃y ¬ [ Q(x,y) ]

∴ we get

Negation of ∃x ∃y P(x,y) ∧ ∀x ∀y Q(x,y) = ∀x ∀y ¬ [ P(x,y) ]  ∨ ∃x ∃y ¬ [ Q(x,y) ]

Answer: B=5

Step-by-step explanation:

if you plug 5 in for B, the equations equal to each other

6(5)-2=5(5)+3

30-2=25+3

28=28

NOW plug in each number to show the work (even though we already know it’s 5)

Answer:

yes it is

Step-by-step explanation:

Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

Answer:

I hope this helps. Four is greater than six times a number t in inequality form is 4 › 6 * t

Answer:

91

Step-by-step explanation: 7*13 = 91

91/7 = 13

Therefore , the solution of the given question of percentage comes out to be It's because Different years and countries may have different overall numbers of newborns,.

A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.

Here,

Given : we prefer a histogram of the percentages in each age class rather than the countries

It's because Different years and countries may have different overall numbers of newborns, making a comparison based on the absolute numbers difficult

If we insist on using the absolute numbers,

The group with the most population would definitely result in higher results, and make it impossible for us to see the changes in weight that happen to average inborns.

Therefore , the solution of the given question of percentage comes out to be It's because Different years and countries may have different overall numbers of newborns.

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Answer: 21.15 ft²

Step-by-step explanation:

We can use the formula for the area of a triangle:

(b×h)/2

In this case, the base is 9 and the height is 4.7.

So, we substitute the variables with the numbers in this problem.

(9 × 4.7)/2

9 × 4.7 = 42.3

42.3/2 = 21.15

So, our final answer is 21.15 ft²

Answer: 7

Step-by-step explanation:

7•4=28 therefor 28\4= 7

Answer: 46.0 ft

Step-by-step explanation:

\(\sin 24^{\circ}=\frac{x}{105}\\\\x=105\sin 24^{\circ}\)

So, the distance above the ground is \(105\sin 24^{\circ}+3.25 \approx \boxed{46.0 \text{ ft}}\)

The equation that represents the question is 3x + 12y ≤ 240

total monthly cost, C, of Aliyah's round trip weekday commute, given that she takes the bus x times and Uber y times.

C = 3x + 12y

b. Write an inequality that represents the constraints on Aliyah's budget and the number of times she can take the bus and Uber.

3x + 12y ≤ 240 (total monthly cost must be less than or equal to the monthly budget)

x ≥ 0 (the number of bus rides cannot be negative)

y ≥ 0 (the number of Uber rides cannot be negative)

x and y must be whole numbers (since Aliyah can only take a whole number of rides per month)

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