What are the coordinates of point S?

Solving the linear equation 12.5 = -1.5 + b/0.1, value of b is 1.4

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution of this equation or we can solve this equation by adding or subtracting same number to both sides.

To solve  equation : 12.5 = -1.5 + b/0.1

Adding 1.5 to both sides

12.5 +1.5 = -1.5 +1.5 + b/0.1

14 = b/0.1

Multiply both sides by 0.1

0.1 *14 = 0.1(b/0.1)

1.4 = b

Therefore, the value of b on solving linear equation 12.5 = -1.5 + b/0.1 is 1.4

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The statement ''the formula for finding the surface area of a cylinder is sa = πr2 πrh.'' is false because the formula for finding the surface area of a cylinder is given by: SA = 2πrh + 2πr^2 , where SA represents the surface area, r is the radius of the base, and h is the height of the cylinder.

The first term, 2πrh, represents the area of the curved surface of the cylinder (the lateral surface area), which is a rectangle that wraps around the cylinder. It is calculated by multiplying the height of the cylinder by the circumference of the base.

The second term, 2πr^2, represents the areas of the two circular bases of the cylinder.

By adding these two terms together, we obtain the total surface area of the cylinder.

Therefore, the correct formula for finding the surface area of a cylinder is SA = 2πrh + 2πr^2.

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Answer:

X=11

Step-by-step explanation:

6 x 11 is 66, after adding 2 its 68. They are equal because they are vertical angles :)

Answer:

11

Step-by-step explanation:

I did:

68 - 2= 66

66 divided by 11= 6

To check my work I did:

6 * 11= 66

66 + 2= 68

Hope this helps!

Answer:

Step-by-step explanation:

76

Answer:

34 degrees

Step-by-step explanation:

72+74= 146 180-146=34

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:

y = (1/3)*x + 5

Step-by-step explanation:

Step 1: determine slope or m

m = change in y-coordinates ÷ change in x-coordinates

m = (4-7)/(-3-6) = -3/-9 = 1/3

Step 2: determine y-intercept or b

y = m*x + b

y = (1/3)*x + b

4 = (1/3)*(-3) + b

4 = -1 + b

b = 5

Step 3: substitute values for m and b into the slope intercept equation

y = (1/3)*x + 5

The formulated Linear Program aims to minimize the objective function, which is the sum of production and inventory costs minus the revenue from selling the end-of-period inventory at month 4.

In this problem, we need to determine the optimal production and inventory levels over the four-month period to minimize costs and maximize revenue. We can formulate this as a linear programming problem with the following decision variables:

Let x1, x2, x3, x4 represent the production quantities for months 1, 2, 3, and 4, respectively.

Let y1, y2, y3, y4 represent the end-of-month inventory levels for months 1, 2, 3, and 4, respectively.

The objective function we want to minimize is:

Minimize: (5x1 + 8x2 + 4x3 + 7x4) + (2y1 + 2y2 + 2y3) - (15y4)

Subject to the following constraints:

1. Initial inventory: y1 = 15 (given)

2. Production capacity constraints:

  x1 <= 90 (month 1 capacity)

  x2 <= 75 (month 2 capacity)

  x3 <= 80 (month 3 capacity)

  x4 <= 50 (month 4 capacity)

3. Inventory balance equations:

  y1 + x1 - 50 = y2 (month 1)

  y2 + x2 - 65 = y3 (month 2)

  y3 + x3 - 100 = y4 (month 3)

  y4 + x4 - 70 = 0 (month 4, no carryover inventory)

4. Non-negativity constraints:

  x1, x2, x3, x4, y1, y2, y3, y4 ≥ 0

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Answer:

b

Step-by-step explanation:

Answer:

4.96*6.57*8.02*2.31=603.716984464

Answer:

Step-by-step explanation:

Volume of the prism is the product of its base area and height

Find base area:

Area of the trapezoid:

Substitute given values and solve for h:

Find area of base

Now

Height of trapezoid base be x

Answer:

z ≤ 17

Step-by-step explanation:

Step 1: Subtract 37 from both sides.

The volume of the hexagonal pyramid is 246 inches squared.

The base of a hexagonal pyramid has an area of 82 square inches. The height of the pyramid is 9 inches.

Therefore, the volume of the pyramid can be found as follows:

Volume of a pyramid = 1 / 3 Bh

where

Therefore,

Volume of the pyramid = 1 / 3 × 82 × 9

Volume of the pyramid = 738 / 3

Volume of the pyramid = 246 inches³

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Answer:

Mind you that the average rate of change is the gradient. Commonly we get it by using the formula that requires us to have also the y coordinates.

we can find them by plugging in the x-values in the function g(x)

x=1

\(g(1)=-2(1^{2} )-1\\g(1)=-3\\\\g(6)=-2(6^{2})-1\\ g(6)=-73\)

now we have the points (1,-3) and (6,-73)

\(m=\frac{y2-y1}{x2-x1}\)

that is the formula we will use

\(=\frac{-73-(-3)}{6-1} \\=\frac{-70}{5} \\=-14\)

Answer:

\(y=\frac{2}{5} x-1\)

Step-by-step explanation:

\(y=mx+c\)

m= slope

c= y intercept

therefore,

m=2/5

c=-1

10% of 50=5

5*3=15

10*3=30

So...

Answer= an increase of 30%

Answer:

the answer is 30 percent

pls brainliest me

Step-by-step explanation:

50£

65£

subtract 65-50 is 15

15 x 100

15 x 100 divided by 50

is 30 percent

o

Answer:

D. \(56.25 mm^{2}\)

Step-by-step explanation:

A = \(\frac{A + 2}{2}\)h =

\(\frac{16 + 9}{2}\)x4.5

Thus,

=56.25

Option D.

Step-by-step explanation:

Take the LCM of the denominators:

=> LCM = 18

=> -7/9 x 2/2 = -14/18

=> -4/9 x 2/2 = -8/18

=> 1/9 x 2/2 = 2/18

=> 1/2 x 9/9 = 9/18

When the number is negative, the greater the number, the smaller it is.

So, -14 is smaller than -8.

< = smaller than

=> -14/18 < -8/18 < 2/18 < 9/18

=> -7/9 < -4/9 < 1/9 < 1/2

Answer:

-7/9, -4/9, 1/9, 1/2

There's no change as this list is already from smallest to largest

==========================================================

Explanation:

We can get each denominator to 18 as this is the LCD (lowest common denominator)

-7/9 = -14/18 ... multiply top and bottom by 2

-4/9 = -8/18 ... multiply top and bottom by 2

1/9 = 2/18 ... multiply top and bottom by 2

1/2 = 9/18 ... multiply top and bottom by 9

We now have to sort this list {-14/18, -8/18, 2/18, 9/18}

Which is the same as sorting {-14, -8, 2, 9} since we can focus solely on the numerators. This only applies when the denominators are the same.

The list {-14, -8, 2, 9} is already sorted from smallest to largest. Think of a number line. We would have -14 as the left most value, then -8 is next, followed by 2 and then 9.

So the original list of fractions {-7/9, -4/9, 1/9, 1/2} is already sorted from smallest to largest.

--------------

An alternative is to use your calculator to see that

-7/9 = -0.78 approximately

-4/9 = -0.44 approximately

1/9 = 0.11 approximately

1/2 = 0.50

The order from least to greatest is

-0.78, -0.44, 0.11, 0.50

The -0.78 is smaller than -0.44 since its further away from 0

So the order would be

-7/9, -4/9, 1/9, 1/2

and there's no change from the original order your teacher gave you.

The series ∑\((-1^{(k+1)}5^{(2k-1)}/2^{3k})\) converges.

To determine the convergence of the series

∑ \((-1^{(k+1)}5^{(2k-1)}/2^{3k})\) we can use the root test.

First, let's compute the nth root of the absolute value of the kth term:

lim┬(k→∞)⁡〖\(( |(-1^{(k+1)}5^{(2k-1)}/2^{[3k]})|^{[(1/k)})\)=lim┬(k→∞)⁡(|\((-1)^{(k+1)}.5^{(2k-1)}/2^{(3k)}|^{(1/k)})\)=lim┬(k→∞)⁡(|\(5^2.(-1/8)|^{(1/k\)))=5/8<1〗

Since the limit of the nth root of the absolute value of the kth term is less than 1, the series converges absolutely.

Therefore, the series ∑\((-1^{(k+1)}5^{(2k-1)}/2^{3k})\) converges absolutely.

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Answer:

A

Step-by-step explanation:

I think the answer is A because 39÷6= 6.5, so than I took that 6.5 and multiplied it by 12 to get 78 teaspoons of blue paint.

Hope this helps!!! Have a lovely day

Answer:they lost 32 yards

Source: trust me bro

Answer:

The awnser is -31 trust me ok i Got it wrong it showed me the awnser so its -31

Step-by-step explanation:

The sample correlation coefficient can indeed be a positive value, a negative value, or zero.

The sample correlation coefficient measures the strength and direction of the linear relationship between two variables in a sample. It is denoted by the symbol "r" and can take values ranging from -1 to 1. A positive correlation coefficient indicates a direct relationship between the variables, meaning that as one variable increases, the other tends to increase as well.

On the other hand, a negative correlation coefficient indicates an inverse relationship, where as one variable increases, the other tends to decrease. A correlation coefficient of zero signifies no linear relationship between the variables, indicating that changes in one variable are not associated with changes in the other. Therefore, depending on the data, the sample correlation coefficient can be positive, negative, or zero, reflecting the nature of the relationship between the variables under consideration.

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Answer:

yes it's rotated 180 degree angle

Answer:

a) 640 ml

b) 40 ml

Step-by-step explanation:

The ratio of lime to lemonade for the fizzy drink is 5 : 3 or as a fraction that would be

\(\dfrac{\text{Lime juice}}{\text{Lemonade}}= \dfrac{5}{3}\)

\(\text{Therefore the ratio of lemonade to lime }\\\\ = \text{reciprocal of $ \dfrac{5}{3} $} }\\\\= \dfrac{3}{5}\)

Part a)

For  all 400 ml of  lime juice we would need
\(\dfrac{3}{5} \times 400 \;ml = 3 \times 80 = 240 \;ml\)  

Total amount of fizzy drink that can be maade
= amount of lime juice + amount of lemonade

= 400 + 240

= 640 ml

This is the answer to Part a)

Part b)

If Gianni has only 280 ml and is using all 400 ml of lime juice then the amount of lemonade used as calculated in part 1) is 240ml

That means the amount of lemonade left over = 280 - 240 = 40 ml

Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

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The two limits when x tends to zero are:

\(\lim_{x \to \ 0^-} f(x) = 1\\\\ \lim_{x \to \ 0^+} f(x) = 0\)

Notice that we have a jump at x = 0.

Then we can take two limits, one going from the negative side (where we will go along the blue line)

And other from the positive side (where we go along the orange line).

We will get:

\(\lim_{x \to \ 0^-} f(x) = 1\\\\ \lim_{x \to \ 0^+} f(x) = 0\)

Notice that the two limits are different, that means that the function is not a continuous function.

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The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

According to the statement

we have to find that the number of ways are there to select the applicants who will be hired.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Here we use the combination.

And from the given information:

20 applicants from a pool of 90 applications will be hired.

And according to this the combination becomes:

\(C_{20} ^{90}\)

then solve it

\(C_{20} ^{90} = \frac{90!}{20! (70!)}\)

\(C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}\)

Then after solve it

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}\)

Now open another factorial

\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}\)

Now solve this then

\(C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}\).

So, The ways are the \(C_{20} ^{90}\) which are we  there to select the applicants who will be hired with the help of combination.

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The expression of the statement is 2/3y - 2(m - h)

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

"Twice the difference of m and h is subtracted from two thirds y"

So, the expression is 2/3y - 2(m - h)

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The required, Mmusi borrowed R3000 from Aggie as per the given conditions.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan.

Amount = Principal [1 + rate×time]

Let's call the amount Mmusi borrowed from Aggie "P".

After two years, he has to pay back
= P + P * 18% * 2
= P + 0.18 * P * 2
= P + 0.36P
= 1.36P

So if he has to pay back R4080, we can set up an equation to solve for P:

1.36P = 4080

To find P, we can divide both sides by 1.36:

P = 4080 / 1.36 = 3000

So Mmusi borrowed R3000 from Aggie.

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The value of the mean plus the standard deviation is, 2.58.

For the mean plus the standard deviation, we need to first find the mean and standard deviation of the probability distribution.

Since, The mean of the probability distribution can be found by multiplying each outcome by its respective probability and summing the products:

μ = (0)(0.018) + (1)(0.268) + (2)(0.536) + (3)(0.178)

  = 1.608

The variance of the probability distribution can be found using the formula:

σ² = Σ[(x-μ)²P(x)]

where Σ represents the sum, x represents the outcome, P(x) represents the probability of the outcome, and μ represents the mean.

Using this formula, we get:

σ² = [(0-1.608)²(0.018)] + [(1-1.608)²(0.268)] + [(2-1.608)²(0.536)] + [(3-1.608)²(0.178)]

 = 0.866

The standard deviation, σ, is the square root of the variance:

σ = √0.866 = 0.93

Finally, the mean plus the standard deviation is:

μ + σ = 1.608 + 0.93 = 2.58

Therefore, the value of the mean plus the standard deviation is 2.538.

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Answer:

\(\boxed{\boxed{\tt B)\: 42}}\)

\(\tt \cfrac{7}{x}=\cfrac{19}{114}\)

Cross multiply:

(Multiply the numerator in the first fraction times the denominator in the second fraction, then multiply the numerator of the second fraction times the number in the denominator of your first fraction.)

\(\longmapsto\tt 798=x\times \:19\)

Switch sides:

\(\longmapsto\tt x\times \:19=798\)

Divide both sides by 19:

\(\longmapsto\tt \cfrac{x\times \:19}{19}=\cfrac{798}{19}\)

Divide 798 by 19 = 42

\(\longmapsto\tt x=\cfrac{798}{19}\)

\(\hookrightarrow \tt x=42\)

Answer:

The option B) 42 is the correct answer.

Step-by-step explanation:

Concept :

Here, we will use the below following steps to find a solution using the transposition method:

\(\begin{gathered}\end{gathered}\)

Question :

Solve the proportion below.

\({\implies{\sf{\dfrac{7}{x} = \dfrac{19}{114}}}}\)

\(\begin{gathered}\end{gathered}\)

Solution :

\({\implies{\sf{\dfrac{7}{x} = \dfrac{19}{114}}}}\)

\({\implies{\sf{19 \times x = 114 \times 7}}}\)

\({\implies{\sf{19x = 798}}}\)

\({\implies{\sf{x = \dfrac{798}{19}}}}\)

\({\implies{\sf{x = \cancel{\dfrac{798}{19}}}}}\)

\({\implies{\sf{x = 42}}}\)

\(\star{\underline{\boxed{\sf{\purple{x = 42}}}}}\)

Hence, the value of x is 42.

\( \rule{300}{2.5}\)