The coordinates of point T are (0,3). The midpoint of ST is (3,-2). Find the coordinates of point S.

Answer:

6 ounces

Step-by-step explanation:

Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.

After converting the percentages to their decimal equivalents, set up the necessary equation as follows:

0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.

0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.

0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.

0.12 = 0.02x Finally, divide both sides by 0.02

x = 6

You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.

Answer:

Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution

Step-by-step explanation:

Let x ounces of 11% alcohol must be mixed with the 2 ounces of 20% alcohol.

The amount of alcohol in 4 ounces solution is=   ounces

                                                             = 0.8 ounces

The amount of alcohol in x ounces  solution is=   ounces

                                                                             = 0.11 x ounces

Total amount of alcohol is = (4+x) ounces

According to the problem,

Therefore 2 ounces of 11% alcohol solution must be mixed with 4 ounces of 20%alcohol to make a 17%alcohol solution

Answer:

no solution

Step-by-step explanation:

Given

- 9 - 8x = - 2(7 + 4x) ← distribute

- 9 - 8x = - 14 - 8x ( add 9 to both sides )

- 8x = - 5 - 8x ( add 8x to both sides )

0 = - 5 ← this is not possible

This indicates the equation has no solution

The mean is  4 because it is in the middle an it is used the most in the data set.

The mean shift to the right side of the data set and the standard deviation is increased.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that:

The data set is:

1 2 3 3 4 4 4 4 5 5 6 7

The mean of the data = ∑x/n

The mean of the data = 4

The standard deviation of the data set = 1.58

If data changed:

1 2 3 3 4 4 4 4 5 5 6 70

The mean of the data = 9.25

The standard deviation of the data set = 18.36

Thus, the mean shift to right side of the data set and the standard deviation is increased.

Learn more about the mean here:

https://brainly.com/question/22871228

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The Scientific notation for above value is :

[tex] \boxed{ \boxed{9.65\times 10 {}^{14} }}[/tex]

Answer:

see explanation

Step-by-step explanation:

Using the identities

1 - cos²x = sin²x

cotx = [tex]\frac{cosx}{sinx}[/tex] , cosecx = [tex]\frac{1}{sinx}[/tex]

Consider the left side

[tex]\frac{1}{1-cos\alpha }[/tex] - [tex]\frac{1}{1+cos\alpha }[/tex]

= [tex]\frac{1+cos\alpha - (1-cos\alpha )}{(1-cos\alpha )(1+cos\alpha )}[/tex]

= [tex]\frac{1+cos\alpha -1+cos\alpha }{1-cos^2\alpha }[/tex]

= [tex]\frac{2cos\alpha }{sin^2\alpha }[/tex]

= [tex]\frac{2cos\alpha }{sin\alpha }[/tex] × [tex]\frac{1}{sin\alpha }[/tex]

= 2cotα . cosecα

= right side , thus verified

Answer:

Step-by-step explanation:

As per graph, the function is increasing at all intervals.

Correct choice is C

Answer:

Increasing on all real numbers

Step-by-step explanation:

The line is a polynomial curve and it's increasing at all values

so option C is correct

Answer:

80 degrees

Step-by-step explanation:

they are adjacent angles -

115-35=80

GBE=80 degrees

The other person is correct. This is what the drawing looks like when we mark the angles given to us.

Answer:

a=28, b=-15

Step-by-step explanation:

[tex]Method\ by\ linear\ combinaisons\\\left\{\begin{array}{ccc|c|c|}2a+5b&=&-19&-1&3\\3a+5b&=&9&1&-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&28\\5b&=&-75\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&28\\b&=&-15\\\end{array}\right.\\[/tex]

Step-by-step explanation:

24÷2[70÷5{4+(12-(12-8÷6×3))}]

12[14{4+(12-(12-4))}]

12[14{4+(12-8)}]

12[14{4+4}]

12[14{8}]

12[112]

1344

just trying hope that helps

Answer: Slope = -3/4

Step-by-step explanation:

Background information

The given equation [y = -3/4x + 2] is in the form of slope-intercept form of linear equation.

The slope-intercept form of a linear equation is where one side contains just [y]. So, it will look like: y = mx + b where [m] is the slope and [b] is the y-intercept.

Match the given equation with the base form of the equation

y = (-3/4)x + 2

y = m x + b

Finalize the match result

m = -3/4

b = 2

Therefore, the slope of the equation [y = -3/4x + 2] is [tex]\boxed{-\frac{3}{4} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

22 - (-3) = 22 + 3 = 25 ft.

Answer:

11.69 or 256

Step-by-step explanation:

291  divided by equals 11.69

And 291 - 25 - 10 = 256

Answer:

X = -6 is the answer

Answer:

test

test

test

test

test

Answer:

OK mate don't freak out its easy

First things first x and y are height and base and 10cm is hypotenuse.

40degree is the angle

Now.

The sin angle is an trigonometric angle which deals with height and hypotenuse.

It's formulae is...... Sin angle =height /hypotenuse

So sin 40 = x/10

X= 10 * sin 40

X= 10*0.64

Hence x=6.4 cm

Remainder sin 40 is 0.64

Again

The cos angle is an trigonometric angle which deals with base and hypotenuse

It's formulae is...... Cos angle =base /hypotenuse

So cos 40 = y/10

Y= cos 40 *10

Y= 0.76*10

Hence y = 7.6cm

Remainder cos 40 = 0.76.

Thank you

Answer:

do not worry it is 63,9 degrees

Answer:

This is true.

Step-by-step explanation:

it is easy and I think i explain it in better way.

Answer:

Step-by-step explanation:

2 tan(60) = 2 * (sqrt(3)/2 = sqrt(3)

1 + tan^2(60) = 1/cos^2(60) = 1//1/4 = 4

The answer is going to look a little convoluted but it should be correct.

The answer so far is sqrt(3) /4

sin(60) = sqrt(3)/2    

of the 4, two is needed to get sqrt(3)/2

So far then we have sin(60)/2

If we multiply by 2 as in (sin(60)/2) we get just sin(60)

2* sqrt(3) /4 then  = 2 sin(60)

points , pi represents point that you can earn .

Answer:

[tex]irrational \: or \: rational \\ for \: exmple \sqrt{2} \times \sqrt{2} = 2 \\ thnk \: you[/tex]

Answer:

-4.5. 2.75+(2)+(-5.25) = -4.5. hope this helps

Step-by-step explanation:

- Zombie

Answer:

$2624

Step-by-step explanation:

8x235=1880

2x372=744

1880+744=2624=$2624

Answer:

because the same number is subtracted from another numberber until it hits zero or smaller than the number subtracted

Step-by-step explanation:

trust me bro

hope this helped homie

Answer:

⇨Because Repeated subtraction is a method of subtracting the equal number of items from a larger group.

Ťøp❶✍☺Hope its helpful

Answer:

11x+3+8x+6=180(Linear pair)

19x+9=180

19x=171

x=9°

Answer:

x=31

Step-by-step explanation:

When x=45    y=60

And when y=36

For that let's take the amount as Z(to find how much was decreased)

60-z=36

60   =36+z

60-36=z

      14=z

45-14

31

Therefore when y=36 x=31

Hope you got it

If you have any question just ask me

And if you think this is the best answer please mark me as brainliest

If I'm understanding the question correctly, you're saying that X is a random variable following a normal distribution with mean 5 and standard deviation 4.2, and you want to find the proportion of the distribution that lies in the interval (-3, 8). In other words, the probability

P(-3 < X < 8)

Transform X to Z, which follows the standard normal distribution with mean 0 and standard deviation 1, using the rule

X = µ + σZ   ==>   Z = (X - µ)/σ

where µ and σ are the mean and standard devation of X, respectively.

We have

P(-3 < X < 8) = P((-3 - 5)/4.2 < (X - 5)/4.2 < (8 - 5)/4.2)

… ≈ P(-1.904 < Z < 0.714)

… ≈ P(Z < 0.714) - P(Z < -1.904)

… ≈ 0.762 - 0.028 ≈ 0.734

The proportion of values of X between - 3 and 5 is 0.734

The expression ∼(5,4.2) gives the mean and standard deviation of X

Mean, μ = 5

Mean, μ = 5Standard deviation, σ = 4.2

Using the normal distribution :

The proportion of values of X is given as :

z = (x - μ) / σ

P(Z < z) - P(Z < z)

P(Z < (x - μ) / σ) - P(Z < (x - μ) / σ)

For X = - 3 and x = 8

P(Z < (8 - 5) / 4.2) - P(Z < (-3 - 5) / 4.2)

P(Z < 0.7143) - P(Z < - 1.90476)

0.76248 - 0.0284 = 0.73408

Hence, the proportion of values of X between - 3 and 5 is 0.734

Learn more : https://brainly.com/question/17756962?referrer=searchResults

Answer:

i think she should draw 3