please give me the answer for 50 - [9÷(6+3)]

your answer is right since your going to the right +3 and decreasing -9 units

Answer:

a

Step-by-step explanation:

the median is the middle value of the data arranged in ascending order

5 , 6 , 6 , 7 , 8 , 10 , 12 , 13 , 14 ← ascending order

                    ↑ middle value

median = 8

Answer:

8

Step-by-step explanation:

To find the median, we must put all of the data in order and select the middle number. Since there are 9 terms, the median will be the 5th term.

5, 6, 6, 7, 8, 10, 12, 13, 14

Brainliest, please :)

Answer:

48

Step-by-step explanation:

Given:

\(\textsf{Maximize}: \quad z=6x+12y\)

\(\begin{aligned}&\textsf{Subject to}: \quad &4x+5y & \leq 20\\&&8x+y &\leq 20\\&&x\geq 0, y&\geq 0\end{aligned}\)

Graph the lines:

\(\textsf{Draw the line } \;\;4x+5y=20 \;\;\textsf{and shade under the line}.\)

\(\textsf{Draw the line } \;\;8x+y=20 \;\;\textsf{and shade under the line}.\)

\(\textsf{Draw the line } \;\;x=0\;\;\textsf{and shade above the line}.\)

\(\textsf{Draw the line } \;\;y=0\;\;\textsf{and shade above (to the right of) the line}.\)

Therefore, the feasible region is bounded by the corner points:

Determine the value of z at the corner points by substituting the x and y values of the points into the equation for z:

\(\textsf{Value of $z$ at $A(0,0)$}: \quad 6(0)+12(0)=0\)

\(\textsf{Value of $z$ at $B(0,4)$}: \quad 6(0)+12(4)=48\)

\(\textsf{Value of $z$ at $C\left(\dfrac{5}{2},0\right)$}: \quad 6\left(\dfrac{5}{2}\right)+12(0)=15\)

\(\textsf{Value of $z$ at $D\left(\dfrac{20}{9},\dfrac{20}{9}\right)$}: \quad 6\left(\dfrac{20}{9}\right)+12\left(\dfrac{20}{9}\right)=40\)

Hence, the maximum value of z is 48 at B(0, 4).

The first function is a reflective function and the other one is translative

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given function is f(x) = -(x+3)²-8

f(x) = -(x+3)²-8 is a reflective function.

f(x) = |x+5|+4 is a translative.

Let us solve these two functions by plotting some points from two functions.

In the given attachment we have given the graphs.

Hence, the first function is a reflective function and the other one is translative

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Answer:

x=-2

Step-by-step explanation:

3 + -4x = 5+ -3x

-4x = 2 - 3x

-x = 2

x = -2

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Answer:

√10 feet ≈ 3.2ft

Step-by-step explanation:

If the helght of the bench's back is 3 feet tall and the width of the bench's seat Is 1 foot long, the length of the arm will be gotten using the pythagoras theorem;

Let l be the required length, Hence;

l² = 3² + 1²

l² = 9 + 1

l² = 10

Square root both sides

√l² = √10

l = √10 feet

Hence the length of the arm is √10 feet

Marcus has 2 more marbles than Lana

Number of bags that Lana has = 2

Number of marbles in each bag = 2

Total number of marbles that Lana has = 4

Number of bags that Marcus has = 2

Number of marbles in each bag = 3

Total number of marbles that Marcus has = 6

The difference in the number of marbles that Marcus and lana have = 6 - 4 =2

Marcus has 2 more marbles than Lana

The general solution to the given differential equation is:

y = (x/12) - (1/288)

How to solve the Differential Equation?

We want to solve the differential equation given as: y' - 24xy = -2x

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).

Multiplying the entire equation by the integrating factor, we get:

e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)

The left side of the equation is the derivative of (e^(-24x)y) with respect to x:

(d/dx)(e^(-24x)y) = -2xe^(-24x)

Integrating both sides with respect to x, we have:

e^(-24x)y = ∫(-2xe^(-24x))dx

Integrating the right side, we get:

e^(-24x)y = -∫(2xe^(-24x))dx

To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):

u = -2x (differential of u = -2dx)

dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)

Using the integration by parts formula:

∫uv dx = uv - ∫v du

We can compute the integral as follows:

-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]

= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]

= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]

= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]

= -[x/12e^(-24x) - 1/(288e^(-24x))]

= -[x/12 - 1/288]e^(-24x)

Substituting this back into the previous equation, we have:

e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]

Simplifying further:

e^(-24x)y = (x/12 - 1/288)e^(-24x)

Canceling out e^(-24x) on both sides:

y = x/12 - 1/288

Therefore, the general solution to the given differential equation is:

y = x/12 - 1/288

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The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

By the Pythagorean theorem,

\(\sin^2 t +\cos^2 t = 1 \\ \\ \sin^2 t +(-3/4)^2 = 1 \\ \\ \sin^2 t =7/16 \\ \\ \sin t=-\frac{\sqrt{7}}{4}\)

(I took the negative case because of the range of values of t)

Using the cosine double angle formula,

\(\cos 2t=2\cos^2 t -1 =2(-3/4)^2 - 1 =1/8\)

Using the sine double angle formula,

\(\sin 2t=2\left(-\frac{3}{4} \right)\left(-\frac{\sqrt{7}}{4} \right)=\frac{3\sqrt{7}}{8}\)

Using the cosine half-angle formula,

\(\cos \frac{t}{2}= -\frac{\sqrt{1+\cos A}}{2}=-\frac{\sqrt{1+\frac{3\sqrt{7}}{8}}}{2}\)

(I took the negative case because of the range of values of t)

Using the sine half-angle formula,

\(\sin \frac{t}{2}=\frac{\sqrt{1-\cos A}}{2}=\frac{\sqrt{1-\frac{3\sqrt{7}}{8}}}{2}\)

(I took the positive case because of the range of values of t)

Answer:

Step-by-step explanation

\(a^{m} * a^{n} = a^{m+n}\\\\x^{3}*x^{4} = x^{3+4} = x^{7}\)

In product of powers, if base is same, just add the powers

Answer:

183.75 pounds

Step-by-step explanation:

divide 147 by a fourth then add your result onto 147 for your awnser

Answer:

$60 in total

Step-by-step explanation:

You find the amount to give for the tip first:

An easy way of doing percent's is getting 10% of a number. 10% of $50.00 you simply move the decimal to the left one time.

You would end up with $5.00 being 10% of $50.00.

Since you want 20% of $50.00 you would just simply multiply $5.00 (10% of $50.00) by 2. (2 * 10% = 20%).

This gives you $10.00.

By knowing 20% of $50.00 is $10.00 you then want to find the grand total you would have to spend in all so you add $10 to the $50 bill giving you a total of $60.00.

Answer:

60.00

Step-by-step explanation:

so you're doing 50.00 plus another 20% since you/re tipping the waiter which gives you a total of 60.00

The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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Answer:

Step-by-step explanation:

Let it be:

Then, round to the nearest hundredths:

After rounded it to the nearest hundreds, the number is,

⇒ 2.38

We have to given that,

Round a number 2.382 to the nearest hundreds.

Here, The number is,

⇒ 2.382

Since, Number in thousandth place is, 2

Which is less than 5.

Hence, After rounded it to the nearest hundreds, we get;

⇒ 2.382 ≈ 2.38

Therefore, The solution is, 2.38

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Answer:

the answer is that one tells about nomadic responses

while the other talks about seramic responses

The solution is:

Net income = $31,130

Total Assets = Owner's Equity and Liabilities = $104,230

Income can be stated as the consumption and saving opportunity gained by an entity within a specified timeframe, which is normally expressed in monetary terms. Income is that which means difficult to define conceptually and the definition may be different across fields.

here, we have,

The  Income Statement of Profit or Loss and the Statement of Financial Position can be prepared  as follows:

Sugar Almonds Ltd  

Income Statement of Profit or Loss  

For the Year Ended 31st December 2020  

Particulars                                                        $                       $            

Sales Revenue                                                                       93,700

Cost of sales:  

Opening inventory                                      12,000

Purchases                                                   49,000

Closing inventory - income statement   (24,350)  

Cost of sales                                                                         (36,650)  

Gross profit                                                                             57,050

Operating expenses:  

Administrative Expenses                               (850)

Rent paid                                                     (2,000)

Telephone                                                      (900)

Wages                                                         (21,650)

Travel expenses                                             (330)  

Total operating expenses                                                   (25,730)

Interest income (expense):

Interest paid                                                                              (190)  

Net income                                                                             31,130  

Sugar Almonds Ltd  

The Statement of Financial Position  

As at 31st December 2020  

Particulars                                                        $                        $            

Fixed Assets

Premises at cost                                         70,000  

Vehicles at cost                                           5,800  

Total Fixed Assets                                                                 75,800

Current Assets

Cash                                                                 630  

Bank                                                               2,100

Closing inventory - Statmt of fin positn    24,350  

Trade Receivables                                        1,350  

Total Current Assets                                                              28,430  

Total Assets                                                                           104,230

Owner's Equity

Capital                                                      72,000  

Drawings                                                   (6,450)

Net income                                                31,130  

Total Owner's Equity                                                             96,680

Current Liabilities  

Trade Payables                                          6,400  

VAT                                                              1,150  

Total Current Liabilities                                                          7,550  

Owner's Equity and Liabilities                                           104,230

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The scatter plot is given by the image at the end of the answer, and the exponential function of best fit is given by:

y = 10000(1.0513)^x.

The scatter plot is built inserting all the points of the data-set in a graph, which are in the following input-output format:

(time in years, balance in dollars).

Hence the points for this problem are given as follows:

(5, 12840), (10, 16487), (15, 21170), (20, 27183), (25, 34903), (30, 44817).

From the graph given at the end of the answer, we can see that the function is exponential.

The exponential function of best fit is found inserting the points into a calculator, and is given as follows:

y = 10000(1.0513)^x.

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The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer:

90  berries

Step-by-step explanation:

The solution is: the value of x is : x = 98.5.

Formula

<x = 1/2 (arc 1 + arc2)

This is the basic angle formula for the way two chords intersect.

Givens

arc1 = 96

arc2 = 101

Solution

<x = 1/2 (arc1 + arc2)                 Substitute values

<x = 1/2(96 + 101)

<x = 1/2(197)

<x = 98.5

Answer

x = 98.5

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if 1 2 3 = 2

then 3 5 4 = 5

hope it helps:)

Answer:

its 2 1/6 (B)

Step-by-step explanation:

The first three terms of the sequence defined by the formula; Un=5n-2n³ as in the task content are; 3, -6 and -39 respectively.

It follows from the task content that the first three terms of the sequence defined by the formula be determined.

On this note, it follows that the first three terms are at; n = 1, n = 2 and n = 3 respectively.

Hence we have;

Hence, the first three terms are; 3, -6 and -39.

The first three terms of the sequence are as listed above.

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Answer:

a. 67°

b. 3.9 ft

Step-by-step explanation:

a) the angle formed by the ladder and the level ground = sin`¹ 0.92 = 67°

b) the distance between the foot of the ladder and the foot of the building = 10× cos 67°

= 10 × 0.39 = 3.9 ft

Answer:

fggggg hasdnkuw

Step-by-step explanation:

Answer:

c = -3

Step-by-step explanation:

-2.2 - 0.1c = -1.9

-0.1c = 0.3

c = -3

Hopefully this helps!

Brainliest please?