Solve the equation 4(2y-6)+3=11. A.3. B.-3. C.4. D.5

Answers

Answer 1
The answer is to the equation is C.4
Answer 2
remember you can do anything to an equation as long as you do it to both sides

4(2y-6)+3=11
minus 3 both sides
4(2y-6)=8
divide both sides by 4
2y-6=2
add 6 to both sides
2y=8
divide both sides by 2
y=4

C is answer

Related Questions

Max is in a control tower at a small airport. He is located 50 feet above the ground when he spots a small plane on the runway at an angle of depression of 27. What is the distance of the plane from the base of the tower? Round to the nearest foot. A. 25 feet B. 110 feet C. 56 feet D. 98 feet

Answers

tanα=y/x

x=y/tanα, we are told the height is 50 ft and the angle is 27°

x=50/tan27° ft

x≈98 ft (to nearest whole foot)
Answer:

The distance of the plane from the base of the tower is:

                    Option: D

                    D.  98 feet  

Step-by-step explanation:

Let x denotes the distance of the plane from the base of the tower.

Now, in the right angled triangle we will need to use trignometric identity corresponding to 63°.

Based on the figure we have:

[tex]\tan 63=\dfrac{x}{50}\\\\\\x=50\times \tan 63[/tex]

[tex]x=50\times 1.9626\\\\\\x=98.13\ feet[/tex]

which to the nearest feet is:

                        98  feet

Mr. Rr the Rreliable Rrobot has been programmed to whistle every $18$ seconds and do a jumping jack every $42$ seconds, starting from the moment he is turned on. (For example, he does his first jumping jack $42$ seconds after he is turned on.)

How many times during the first $15$ minutes after activation will Mr. Rr whistle and do a jumping jack at the same instant?

Answers

Answer:

7 times during the first 15 minutes

Step-by-step explanation:

Remember that

[tex]1\ min=60\ sec[/tex]

so

[tex]15\ min=15(60)=900\ sec[/tex]

Decompose the numbers 18 and 42 in prime factors

we know that

[tex]18=(2)(3^2)[/tex]

[tex]42=(2)(3)(7)[/tex]

Find the least common multiple (LCM)

The LCM is

[tex](2)(3^2)(7)=126\ sec[/tex]

we need to find all multiples of 126 that are less than or equal 900.

[tex]126*1=126\ sec\\126*2=252\ sec\\126*3=378\ sec\\126*4=504\ sec\\126*5=630\ sec\\126*6=756\ sec\\126*7=882\ sec[/tex]

therefore

7 times during the first 15 minutes

True or false some drugs like Tylenol or available over-the-counter because they are safe in any dose

Answers

I am gonna say false....because it is possible to overdose on tylenol...so ANY dose is not safe
False. Even though you can get them over the counter, any dose is not okay and can lead to health problems so it is not true. I hope I helped! :)


What is the equation of a line that goes through the point
(0,
5
6

)
(0,56)
 and has a slope of 1?
Select one:
a.
y=x+
5
6

y=x+56

b.
5
6

y=x
56y=x

c.
y=−x+
5
6

y=−x+56

d.
y=
5
6

x+1
y=56x+1

Answers

Point = (0, 56)
Slope = 1

This is where you would use point slope.
y - y1 = m(x - x1)
y - 56 = 1(x - 0)
y - 56 = x
y = x + 56

Answer is A.

Does Verona have enough information to determine the areas of both triangles?

Answers

answer is third choice

No. Each triangle  has base of 6 meters but there is not enough information to determine the heights of the triangles 

A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the high-quality version is 4.9 MB. Yesterday, there were 1070 downloads of the song, for a total download size of 3521 MB. How many downloads of the high-quality version were there?

Answers

x=  standard

y = high quality

x +y = 1070

y=1070-x

2.8x + 4.9y =3521

2.8x +4.9(1070-x) = 3521

2.8x+5243-4.9x =3521

-2.1x=-1722

x=-1722/-2.1 = 820

820*2.8 =2296

1070-820 =250

250*4.9 = 1225

1225+2296 = 3521


there were 250 high quality downloads



A ramp 28 ft long rises to a platform. the bottom of the platform is 15 ft from the foot of the ramp. find x , the angle of elevation of the ramp

Answers

I'm not way too sure, but the angle of elevation is perhaps 32.39

Which of the relationship below are function

Answers

B and D are both functions because each x value has only one y value.

For A, for example, the x value of 1 has 2 y values. For C, the x value of 7 has 2 y values as well, 10 and 3.

A functions B and D are valid functions because they meet the criteria of each x value having only one corresponding y value.

Function B: You mentioned that B is a function because each x value has only one corresponding y value. In mathematical terms, a function is defined as a relation between a set of inputs (x values) and a set of outputs (y values), where each input (x) maps to exactly one output (y). So, if B satisfies this definition, it is indeed a function.

Function D: Similar to B, if D also adheres to the definition of a function, where each x value corresponds to only one y value, then it is a function as well.

Function A: You mentioned that for A, the x value of 1 has 2 y values. In mathematical terms, a function cannot have one input (x) mapping to multiple outputs (y). If this is the case for A, it does not meet the definition of a function.

Function C: You mentioned that for C, the x value of 7 has 2 y values, 10 and 3. Again, if one input (x) is associated with multiple outputs (y) in C, it does not qualify as a function.

In summary, functions B and D are valid functions because they meet the criteria of each x value having only one corresponding y value. Functions A and C do not meet this criterion and are not functions in the mathematical sense.

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What are the two equations that need to be solved to find the solutions for the absolute value equation |2x-3|=x+6?


2x – 3 = x + 6 and 2x – 3 = –x – 6

2x – 3 = x + 6 and 2x + 3 = –x + 6

2x – 3 = x + 6 and 2x – 3 = x – 6

2x – 3 = x + 6 and 2x + 3 = x + 6

Answers

The answer is the fourth

The equations to solve for [tex]\( |2x-3|=x+6 \)[/tex] are [tex]\( 2x - 3 = x + 6 \)[/tex] and [tex]\( 2x - 3 = -(x + 6) \).[/tex]

Let's solve the absolute value equation |2x-3|=x+6 step by step.

We'll start by writing down the equation:

|2x - 3| = x + 6

Since the absolute value expression |2x - 3| can be either positive or negative, we'll split the equation into two cases:

  Case 1: 2x - 3 = x + 6

  Case 2: 2x - 3 = -(x + 6)

Let's solve Case 1:

  2x - 3 = x + 6

  Subtract x from both sides:

  2x - x - 3 = 6

  Simplify:

  x - 3 = 6

  Add 3 to both sides:

  x = 9

Now, let's solve Case 2:

  2x - 3 = -(x + 6)

  Distribute the negative sign:

  2x - 3 = -x - 6

  Add x to both sides:

  2x + x - 3 = -6

  Simplify:

  3x - 3 = -6

  Add 3 to both sides:

  3x = -3  

  Divide both sides by 3:

  x = -1

So, the solutions to the equation |2x-3|=x+6 are x = 9 and x = -1.

Which of the following is the sum of the polynomials 5x2 - 4x + 1 and -3x2 + x - 3 ?

2x2 + 3x + 2
8x2 - 5x - 2
2x2 - 3x - 2
-8x2 - 3x - 2

Answers

The answer is 2x^2-3x-2.
Just align the polynomials and combine like terms.

What is the expected number of heads for Danielle's experiment? (Enter your answer as a decimal)

Answers

I’ve answered this before so here’s the complete given for this problem.

Danielle conducts an experiment by tossing a fair coin three times. She records the number of heads out of the three trials. The probabilities are given in the table below (X = number of heads out of three trials). 

Given:

x 0 1 2 3 
P(x)1/8 3/8 3/8 1/8 


 n = 3; p = 0.5; q = 0.5; P(x = 0) = nCx p^x 
x N(x) P(x) ΣP(x) 1- ΣP(x) x * P(x) 
--- ----- --------- --------- --------- --------- 
0 1 0.125 0.125 0.875 0 
1 3 0.375 0.5 0.5 0.375 
2 3 0.375 0.875 0.125 0.75 
3 1 0.125 1 0 0.375 

0+.375+.75+.375 = 1.5

 

So, in this problem, the expected number of heads for Danielle's experiment is 1.5.

To add, the measure of the chance that the event will occur as a result of an experiment is called the probability of an event.

If there are 190 contestants in a competition, how many ways can the first, second, and their place winner be chosen

Answers

190P2 = 190x189 = 35,910

Find the length of arc VZX in circle C

Answers

|VZX|= 2.π.8.[tex] \frac{(360-160)}{360} [/tex]


= [tex]\frac{400 \pi }{45}[/tex]



=  [tex]\frac{80 \pi }{9}[/tex]

Good Luck!

Length of arc VZX is 27.92 units.

What is arc?

The arc is a portion of the circumference of a circle.

Given,

Radius of circle = 8 units

∠VCX = 160°

Let length of arc VZX = x

x = area of circle×(360°- ∠VCX)/360°

x = 2π×8×(360-160)/360

x = 2π×8×(200)/360

x = 400π/45

x = 80π/9

x = 27.92 units

Hence, length of arc VZX is 27.92 units.

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Scientific notation definition math is fun

Answers

What is the question? i dont understand. 

Answer:

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power, as 1385.62 written as [tex]1.3862*10^{4}[/tex].

Step-by-step explanation:

Using the Rational Root Theorem, what are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x – 12?

Answers

Answer: The all possible rational roots are [tex]x=\pm1,\pm2,\pm3,\pm4,\pm6,\pm12,\pm\frac{1}{2},\pm\frac{3}{2},\pm\frac{1}{4},\pm\frac{3}{4},\pm\frac{1}{10},\pm\frac{1}{5},\pm\frac{3}{5}\pm\frac{3}{10},\pm\frac{2}{5},\pm\frac{6}{5},\pm\frac{1}{20},\pm\frac{3}{20},\pm\frac{4}{5},\pm\frac{12}{5}[/tex].

Explanation:

The given polynomial is,

[tex]f(x)=20x^4+x^3+8x^2+x-12[/tex]

The Rational Root Theorem states that the all possible roots of a polynomial are in the form of a rational number,

[tex]x=\frac{p}{q}[/tex]

Where p is a factor of constant term and q is the factor of coefficient of leading term.

In the given polynomial the constant is -12 and the leading coefficient is 20.

All possible factor of -12 are [tex]\pm1,\pm2,\pm3,\pm4,\pm6,\pm12[/tex].

All possible factor of 20 are [tex]\pm1,\pm2,\pm4,\pm5,\pm10,\pm20[/tex].

So, the all possible rational roots of the given polynomial are,

[tex]x=\pm1,\pm2,\pm3,\pm4,\pm6,\pm12,\pm\frac{1}{2},\pm\frac{3}{2},\pm\frac{1}{4},\pm\frac{3}{4},\pm\frac{1}{10},\pm\frac{1}{5},\pm\frac{3}{5}\pm\frac{3}{10},\pm\frac{2}{5},\pm\frac{6}{5},\pm\frac{1}{20},\pm\frac{3}{20},\pm\frac{4}{5},\pm\frac{12}{5}[/tex]

Answer:

A.) -4/5 and 3/4

Step-by-step explanation:

Assume that you randomly select 6 cards from a deck of 52. what is the probability that all of the cards selected are hearts?

Answers

There are 13 hearts in a 52 deck.

You can think about it like this:

P = (13/52)*(12/51)*(11/50)*(10/49)*(9/48)*(8/47) = 0.00008428903476

A person purchased a leather jacket that was marked down by 40%. if the sale price of the jacket was $101.79, what was its original price?

Answers

The original price was $142.50. What I did was that I added 40% with $101.79 which was the sales price. With the 40% the person saved $40.71.

Hope this helps : )*****

Jayla has a USB stick that transfers data at 2.4 x 10^9 bytes per second. Her modem transfers data at 1.2 x 10^7 bytes per second. Which statement is true?

A.There is no way to compare the transfer rates.

B.The transfer rate of the USB is 2 times the transfer rate of the Modem.

C.The transfer rate of the USB stick is 200 times the trasnfer rate of the modem

D.The transfer rate of the USB stick is 2,000 times the transfer rate of the modem

Answers

[tex] \cfrac{2.4*10^{9}}{1.2*10^{7}}=2*10^2=200 [/tex]

C.The transfer rate of the USB stick is 200 times the trasnfer rate of the modem

Answer: C.The transfer rate of the USB stick is 200 times the transfer rate of the modem .

Let $AB = 6$, $BC = 8$, and $AC = 10$. What is the area of the circumcircle of $\triangle ABC$ minus the area of the incircle of $\triangle ABC$?

Answers

The problem is illustrated by the figure shown below.

It is clear that ΔABC is a right triangle because
(a) it is inscribed in a circle,
(b) Its sides satisfy the Pythagorean theorem because
      6² + 8² = 36 + 64 = 100, and 10² = 100.

Therefore, AC is the diameter of the circumscribing circle, and the radius is
 r = 5.

The area of the circumscribing circle is 
A₁ = π(5²) = 25π

The area of the triangle is
A₂ = (1/2) 8*6 = 24

The required area, of the circumcircle minus that of the triangle (shaded area) is
A₁ - A₂ = 25π - 24 = 54.54 square units.

Answer:
54.54 square units.

When flipping a coin three times, what is the probability of landing on heads all three times?

Answers

a coin has 2 sides....heads and tails....so the probability of it landing on heads is 1/2....the same as the probability of it landing on tails is 1/2.

Therefore, the probability of it landing on heads on 1 coin flip is 1/2.

so the probability of it landing on heads on 3 coin flips is :
1/2 * 1/2 * 1/2 = 1 / 8 <==

What is the slope of a line that is perpendicular to the line x=-3?

A(-3
B(0
C(1/3
D(underfined

Answers

The slope of a line perpendicular to x = -3 is 0. Option B is correct answer.

What is the slopes of perpendicular lines?

Perpendicular line slopes are the negative reciprocals of one another. In other words, if one line has a slope of m, a line perpendicular to it has a slope of -1/m. The definition of perpendicular lines, which states that the angles created by the lines are 90 degrees, may be used to demonstrate this relationship. The product of the slopes of perpendicular lines must be -1 in order to meet the requirement that the tangent of a 90 degree angle be specified.

Given the line x = -3.

Any line perpendicular to this line will have slopes of negative reciprocals of each other.

The slope of a horizontal line is 0, since the line does not change in the y-direction.

Hence, the slope of a line perpendicular to x = -3 is 0.

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Help please. I need the answer fast.

Answers

When you multiply exponents with the same base, you add the exponents.
3+-5+y=-2
-2+y=-2
y=0

Final answer: y=0

QUESTION 18 I want to build a right triangular garden on the side of my house. Find the sides of the triangle if the hypotenuse is 6 feet and the two sides are equal in length.

Answers

The diagram of the right-angled triangle is shown below

Using the Pythagoras theorem
6² = a²+a²
36 = 2a²
18 = a²
a = √18 = 3√2

(08.02)The coordinate grid shows the plot of four equations.
Which set of equations has (−1, 5) as its solution?
A and B
B and D
A and C
B and C

Answers

The answer is A and B since both lines pass through coordinate (-1,5).

What is the probability of drawing two yellow marbles if the first one is NOT placed back into the bag before the second draw? Their is 10 marbles total, 2 yellow, 3 pink, and 5 blue

Answers

Final answer:

The probability of drawing two yellow marbles in succession without replacement from a bag of 10 marbles, where 2 are yellow, is 1/45.

Explanation:

The student is asking about the probability of drawing two yellow marbles successively without replacement from a bag containing a total of 10 marbles with different colors. To solve this problem, we use conditional probability. The probability of drawing the first yellow marble is 2 out of 10 since there are 2 yellow marbles among 10 total marbles. This can be written as P(Y1) = 2/10 or 1/5. After the first yellow marble is drawn, there is only 1 yellow left among 9 total marbles, so the probability of drawing a second yellow marble is P(Y2|Y1) = 1/9.

The two events are dependent since the outcome of the first draw affects the second draw. Therefore, to find the overall probability of both events happening, we multiply their probabilities: P(Y1 and Y2) = P(Y1) × P(Y2|Y1) = (1/5) × (1/9) = 1/45. So, the probability of drawing two yellow marbles successively without replacement is 1/45.

The population of a local species of beetle can be found using an infinite geometric series a1=960 and the common ratio is .25 write the sum in sigma notation and calculate the sum of possible that will be the upper limit of this population

Sigma 960 (1/4)^i-1 ; the sum is 1280
Signa 960 (1/4)^-1 the sun is divergent
Sigma 960 (1/4)^i sum is 1280
Sigma (1/4)^i sum is divergent

I=1 for them all

Answers

Sigma 960(1/4)^(i-1)

Since r^2<1, the sum is convergent and has a value of

960/(1-1/4)

960/(3/4)

4(960)/3

1280
Answer:

         The answer is:

Sigma 960 (1/4)^i-1 ;    the sum is 1280

Step-by-step explanation:

We are given the first term of the geometric sequence as:

[tex]a_1=960[/tex]

Also, the common ratio of the terms in geometric sequence is: [tex]\dfrac{1}{4}[/tex]

We know that if the series is a geometric series than the sum of the terms is given by:

[tex]a+ar+ar^2+.....\\\\=a(1+r+r^2+....)\\\\=\sum ar^{n-1}[/tex]

where a is the first term of the series and r is the common difference.

Here a=960

and r=1/4

Hence,

The sum of the series is:

[tex]=\sum 960(\dfrac{1}{4})^{i-1}[/tex]

Now we know that the sum of the infinite geometric series is given by:

[tex]S=\dfrac{a}{1-r}[/tex]

where S is the sum of the series.

Hence, here the sum of the series is calculated by:

[tex]S=\dfrac{960}{1-\dfrac{1}{4}}\\\\\\S=\dfrac{960}{\dfrac{3}{4}}\\\\\\S=\dfrac{960\times 4}{3}\\\\\\S=1280[/tex]

Hence, the sum is:   1280

A function f satisfies g(7) = 13 and g(1) = 6. a function f satisfies h(13) = 2 and h(6) = 7. what is the value of g(h(6))

Answers

The value of g(h(6)) is 13 because the value of h(6) = 7 so the value of g(7) is 13.

Look at the triangle. What is the value of sin x°?

Answers

sin(x) = 12/13
x = 67.38 degrees
sin = Opp/Adj
so
sin(x) = 12/5

hope it helps

The value of m in the following system of equations is:
m-2n=8
n=m-2
A) m= -4
B) m= -6
C) m= 2
D) None of the choices are correct

Answers

n=m-2

m-2n=8, using n from above in this equation yields:

m-2(m-2)=8  perform indicated multiplication

m-2m+4=8 combine like terms on left side

-m+4=8 subtract 4 from both sides

-m=4  divide both sides by -1

m=-4

So the correct answer is A) m=-4

The correct option is A. [tex]m=-4[/tex]. By substituting the second equation into the first one in the system of equations, the value of m is -4.

The value of m in the system of equations can be found by substitution or elimination. Starting with the given equations:

[tex]m - 2n = 8 (1)[/tex]

[tex]n = m - 2 (2)[/tex]

Using the second equation (2) to substitute for n in the first equation (1):

[tex]m - 2(m - 2) = 8[/tex]

[tex]m - 2m + 4 = 8[/tex]

[tex]-m + 4 = 8[/tex]

[tex]-m = 8 - 4[/tex]

[tex]-m = 4[/tex]

[tex]m = -4[/tex]

This means that the value of m is -4, which corresponds to option A.

5/3(6x+3)<2x-7 what is the solution for the iniquality

Answers

Isolate "x" onto one side:

5/3 * (6x+3) < 2x - 7

5(6x+3) < 3(2x-7)

30x + 15 < 6x - 21

24x < -36

x < -1.5
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