Solve for x: 1/4 (x-7) = 2x

A) x= 9
B) x= 1
C) x= -1
D) x= 15​

Answer:

Following are the solution to the question:

Step-by-step explanation:

The objective is to find the orthogonal trajectory of the family curves:

[tex]x^2+2y^2=17k^2[/tex]

The family curves are: [tex]x^2 + 2y^2=17k^2[/tex]  

Differentiate the equation with the respect of x.

[tex]\to x^2+2y^2=17k^2 \\\\\to 2x+4y \frac{dy}{dx} =0\\\\\to \frac{dy}{dx} =- \frac{2x}{4y}\\\\\to \frac{dy}{dx} =- \frac{x}{2y}[/tex]

The negative reciprocal is:

[tex]\to \frac{dy}{dx} =-\frac{1}{-\frac{x}{2y}}\\\\\to \frac{dy}{dx} = \frac{2y}{x}[/tex]

Integration of the above equation:

[tex]\to \frac{dy}{dx} = \frac{2y}{x} \\\\\to \int \frac{dy}{2y} = \int \frac{dx}{x}\\\\\to \frac{1}{2} \log y = \log x + \log C\\\\\to \log y = 2 \log x + 2\log C \\\\\to \log y = \log x^2 +\log C^2 \\\\\to y = Ax^2 \ \ \ \ \ \ \ \ \ (A=C^2)[/tex]

Hence, the orthogonal trajectory of the family of the curves [tex]x^2 + 2y^2 =17k^2 \ \ is \ \ y=Ax^2[/tex]

Hi there! :)

[tex]\large\boxed{\text{B. 11 cm.}}[/tex]

Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:

a² + b² = c²

Use the length and width in the equation:

8² + 3² = c²

64 + 9 = c²

73 = c²

c ≈ 8.54 cm

Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:

(8.54)² + 7² = c²

73 + 49 = c²

122 = c²

√122 = c

c = 11.05 ≈ 11 cm. The correct answer is B.

Answer:

No lo sé, pero intentaré encontrar una respuesta

Step-by-step explanation:

Answer:

me breolllllll please

Answer: 1/2

Step-by-step explanation:

y=1/2x-3

Answer:

1) D

2) C

3) B

4) A

Step-by-step explanation:

type them into desmos online calculator to see the lines

Answer:

im not sure but i think its 55.2

Step-by-step explanation:

48+15%=55.2

Answer:

i think D

Step-by-step explanation:

Answer:

2/9 = 0.222 (this is repeating) 3/8 = 0.375 -- not repeating 5/6 = 0.83333 (this is repeating) 5/4 = 1.25 -- not repeating answer is : 2/9 and 5/6

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

(7−15−3+5−7)⋅1

Subtract 15 from 7 to get −8.

(−8−3+5−7)×1

Subtract 3 from −8 to get −11.

(−11+5−7)×1

Add −11 and 5 to get −6.

(−6−7)×1

Subtract 7 from −6 to get −13.

−13

Answer:

the answer to this equation is 3

Step-by-step explanation:

have a great day

Answer: 31 degrees

Step-by-step explanation:

The student must incline her camera at 31 degrees to take the picture of bird.

The angle of inclination of a line is the angle formed by the intersection of the line and x-axis.

According to the given question

height of pole = 12m

distance of student from the pole = 20m

Let the angle of inclination be x degrees.

therefore

for the angle of inclination

In ΔABC we have

[tex]tanx=\frac{12}{20}[/tex]

[tex]tanx=\frac{3}{5}[/tex]

[tex]x=tan^{-1} \frac{3}{5}[/tex]

[tex]x = tan^{-1}( 0.6)[/tex]

x = 31 degrees

Hence, the student must incline her camera at 31 degrees to take the picture of bird.

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Answer:

y = 8x

Step-by-step explanation:

The slope is 8, the y-intercept is 0. The slope-intercept form is written:

y = mx + b

So this situation would be written y =  8x + 0 or just y = 8x.

Hope it helps!

Answer:

1=Square surface area is 24

2=triangle surface area is 6

3= surface area in total equal 48

Step-by-step explanation:

Answer: 11.3 minutes

Step-by-step explanation: Exponential Distribution is a distribution with function of the form:

[tex]f(x)=\lambda.e^{-\lambda.x}[/tex]

often related to an amount of time until an event occur.

The greek letter λ is decay parameter and have a relationship with the mean:

[tex]\lambda=\frac{1}{\mu}[/tex]

and x is the amount of time

Probability in exponential distribution is given by

[tex]P(x<X)=1-e^{-\lambda.x}[/tex]

Percentile is a value below which a percentage of the data falls.

For the waiting line in a Piggly Wiggly checkout, 80th percentile will be

[tex]P(x<h)=0.8[/tex]

[tex]P(x<h)=1-e^{-\frac{1}{7}h}[/tex]

[tex]0.8=1-e^{-\frac{1}{7}h}[/tex]

[tex]e^{-\frac{h}{7} }=0.2[/tex]

[tex]-\frac{h}{7} =ln(0.2)[/tex]

h = 11.3

The 80th percentile of waiting times is 11.3 minutes.

Answer:

4(4y +1 )

Step-by-step explanation:

4 is common factor

4(4y +1 )

Answer:

29/4

Step-by-step explanation:

4x=29

x=29/4

The value of x and the solution of the equation is 7.25.

An equation is a statement that is formed when two algebraic expressions are equated by an equal sign.

The solution of 4x+5 = 34 is

4x = 34-5

4x = 29

x = 29/4

x = 7.25

The value of x and the solution of the equation is 7.25.

To know more about Equation

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Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

[tex](2*3)^{2+3(6-3)-10}\\(2*3)^{2+9-10}\\(2*3)^{1}\\6[/tex]

Answer:

c

Step-by-step explanation:

4 white marbles, 6 yellow marbles, 9 green marbles

Answer:

4 white marbles 6 yellow marbles and 9 green marbles

Answer:

1:2

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Answer:

I'm pretty sure it's neither? You need a graph or something for that

Answer:

I think its perpendicular

Step-by-step explanation:

When writing these points on a graph they make a square so when you connect the lines from the coordinates they cross making them perpendicular!

Answer:

1.03

Step-by-step explanation:

i multiplied 14.68×.07

hope this is correct and helps

Answer:

1.03

Have a good day! :)

Answer:

WARNING! .39 AND .76 IS WRONG.

THE PEOPLE ABOVE ARE INCORRECT.

THE ANSWER IS EITHER .37 OR .62

I believe the correct answer is .62 --> .25 + .37 = .62 . This also makes sense.

(C)

ED2021

The probability that a randomly chosen college student exercises in the morning or afternoon are 0.37.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

From the given Venn diagram, we see that

Probability that the student exercises in the afternoon

P(A) = 0.14 + 0.37 = 0.51

Probability that the student exercises in the morning

P(M) = 0.25 + 0.37 = 0.61

Now, the probability that a randomly chosen college student exercises in the morning or afternoon

P(A ∩ M) = 0.37

Learn more about probability here;

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Answer: The answer is A, C and D

Step-by-step explanation:

The expression that is true for (v) and (w) on the graph can be seen in options A, B and D

The expression of data on the graph takes a standard form of arrangement in terms of (x, y).

From the given information:

If we reduce (w) and (v) by a factor of 2 : 1 on the graph, we have;

This shows that v and w are perpendicular to each other, and the product of v.w = 20

Similarly, W = -2(-2, -5) because by opening the brackets we have:

W = (4, 10)

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Answer:jkcv

ijfklgjk

Step-by-step explanation:

vn vvcxkhvxcl