what is 7/9 divided by 1/2?

Answer:

where is the graph

Step-by-step explanation:

Answer:

The distance is 5

Step-by-step explanation:

Step-by-step explanation:

Substitute f(3) into the function:

\(f(3) = - 5(2)^{3} \)

Include exponent:

\(f(3) = - 5(8)\)

Multiply:

\(f(3) = - 40\)

Answer:

68%

Step-by-step explanation:

Given that:

Mean speed (m) = 46

Standard deviation (s) = 13

Approximately what percentage of vehicle speeds were between 33 and 59 mph

Obtain the Zscore for P(Z < x) for both values and subtract :

For x = 33

Zscore :

Z = (x - m) / s

Z = (33 - 46) / 13 = - 1

p(Z < - 1) = 0.15866 ( Z probability calculator)

For x = 59

Zscore :

Z = (x - m) / s

Z = (59 - 46) / 13 = 1

p(Z < 1) = 0.84134 ( Z probability calculator)

Hence, 0.84134 - 0.15866 = 0.68268 = 0.68

0.68 * 100% = 68%

Answer:

\((a)\ \sec^2(\theta) = 82\)

\((b)\ \cot(\theta) = \frac{1}{9}\)

\((c)\ \cot(\frac{\pi}{2} - \theta) = 9\)

\((d)\ \csc^2(\theta) = \frac{82}{81}\)

Step-by-step explanation:

Given

\(\tan(\theta) = 9\)

Required

Solve (a) to (d)

Using tan formula, we have:

\(\tan(\theta) = \frac{Opposite}{Adjacent}\)

This gives:

\(\frac{Opposite}{Adjacent} = 9\)

Rewrite as:

\(\frac{Opposite}{Adjacent} = \frac{9}{1}\)

Using a unit ratio;

\(Opposite = 9; Adjacent = 1\)

Using Pythagoras theorem, we have:

\(Hypotenuse^2 = Opposite^2 + Adjacent^2\)

\(Hypotenuse^2 = 9^2 + 1^2\)

\(Hypotenuse^2 = 81 + 1\)

\(Hypotenuse^2 = 82\)

Take square roots of both sides

\(Hypotenuse =\sqrt{82}\)

So, we have:

\(Opposite = 9; Adjacent = 1\)

\(Hypotenuse =\sqrt{82}\)

Solving (a):

\(\sec^2(\theta)\)

This is calculated as:

\(\sec^2(\theta) = (\sec(\theta))^2\)

\(\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2\)

Where:

\(\cos(\theta) = \frac{Adjacent}{Hypotenuse}\)

\(\cos(\theta) = \frac{1}{\sqrt{82}}\)

So:

\(\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2\)

\(\sec^2(\theta) = (\frac{1}{\frac{1}{\sqrt{82}}})^2\)

\(\sec^2(\theta) = (\sqrt{82})^2\)

\(\sec^2(\theta) = 82\)

Solving (b):

\(\cot(\theta)\)

This is calculated as:

\(\cot(\theta) = \frac{1}{\tan(\theta)}\)

Where:

\(\tan(\theta) = 9\) ---- given

So:

\(\cot(\theta) = \frac{1}{\tan(\theta)}\)

\(\cot(\theta) = \frac{1}{9}\)

Solving (c):

\(\cot(\frac{\pi}{2} - \theta)\)

In trigonometry:

\(\cot(\frac{\pi}{2} - \theta) = \tan(\theta)\)

Hence:

\(\cot(\frac{\pi}{2} - \theta) = 9\)

Solving (d):

\(\csc^2(\theta)\)

This is calculated as:

\(\csc^2(\theta) = (\csc(\theta))^2\)

\(\csc^2(\theta) = (\frac{1}{\sin(\theta)})^2\)

Where:

\(\sin(\theta) = \frac{Opposite}{Hypotenuse}\)

\(\sin(\theta) = \frac{9}{\sqrt{82}}\)

So:

\(\csc^2(\theta) = (\frac{1}{\frac{9}{\sqrt{82}}})^2\)

\(\csc^2(\theta) = (\frac{\sqrt{82}}{9})^2\)

\(\csc^2(\theta) = \frac{82}{81}\)

The linear function for the given graph is y = x + 20.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function. It has one independent variable and one dependent variable. For slope (m) and y-intercept (b) form, the equation is given by:

y = mx + b

From the graph,

The coordinates of the given graph are (0,20) and (20,40)

Then, slope (m) = (40-20)/(20-0) = 20/20 = 1

and y-intercept (b) = 20

So, the equation will be y = 1x + 20

Hence, the linear function for the given graph is y = x + 20.

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Answer:

1) 0.6838

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

35.45% of small businesses experience cash flow problems in their first 5 years.

This means that \(p = 0.3545\)

Sample of 530 businesses

This means that \(n = 530\)

Mean and standard deviation:

\(\mu = p = 0.3545\)

\(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.3545(1-0.3545)}{530}} = 0.0208\)

What is the probability that between 34.2% and 39.03% of the businesses have experienced cash flow problems?

This is the p-value of Z when X = 0.3903 subtracted by the p-value of Z when X = 0.342.

X = 0.3903

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.3903 - 0.3545}{0.0208}\)

\(Z = 1.72\)

\(Z = 1.72\) has a p-value of 0.9573

X = 0.342

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.342 - 0.3545}{0.0208}\)

\(Z = -0.6\)

\(Z = -0.6\) has a p-value of 0.27425

0.9573 - 0.2743 = 0.683

With a little bit of rounding, 0.6838, so option 1) is the answer.

Answer:

tan∅ = -1517/817

Step-by-step explanation:

tan∅ = sin∅/cos∅

Answer:

Step-by-step explanation:

Answer:

96 feet

Step-by-step explanation: took quiz pls mark brainliest

Answer: It will take Susan 420 minutes to read 210 pages of her novel.

Answer:I say that would be 94

Step-by-step explanation:

because if you add all up  it equals 94

Answer:

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction.

Answer:

the way in which factors are grouped in a multiplication problem does not change the product.

Step-by-step explanation:

Answer:

Which number is IRRATIONAL? A) √12 B) √36 C) √64 D) √144

Step-by-step explanation:

Answer:

The probability that the next customer will request mid-grade gas and fill the tank is 0.1800

Step-by-step explanation:

In order to calculate the probability that the next customer will request mid-grade gas and fill the tank we would have to make the following calculation:

probability that the next customer will request mid-grade gas and fill the tank= percentage of the people using mid-grade gas* percentage of the people using mid-grade gas that fill their tanks

probability that the next customer will request mid-grade gas and fill the tank=  30%*60%

probability that the next customer will request mid-grade gas and fill the tank= 0.1800

The probability that the next customer will request mid-grade gas and fill the tank is 0.1800

Answer:

Below

Step-by-step explanation:

A cube has SIX sides of equal area

  each side has area = L x W       and L and W are the same = 4.5 m

      so:   Area =   six   X   ( 4.5  X 4.5)  =   6 * 4.5 * 4.5 = 121.5 m^2

Answer:

Hope the picture will help you...

Answer:

no clue

Step-by-step explanation:

a

The x-intercept of the given line is (-6,0) and y-intercept of the given line is (0,3)

To find the x-intercept:

x-intercept can be found by taking y = 0

The given equation is

2x - 4y = -12

Let us take y = 0, then

2x - 4(0) = -12

2x - 0 = -12

2x = -12

x = -12/2

x = -6

Therefore the x-intercept of the given line is (-6,0)

To find the y-intercept:

Similarly, y-intercept can be found by taking x = 0

The given equation is

2x - 4y = -12

Take x = 0, then

2(0) - 4y = -12

-4y = -12

4y = 12

y = 12/4

y = 3

Therefore, y-intercept of the given line is (0,3)

The x-intercept of the given line is (-6,0) and y-intercept of the given line is (0,3)

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Answer:

y = 13x

Step-by-step explanation:

gradient = 13

x = 0

y = 0

\(\frac{Δy}{Δx}\)

so  \(\frac{y - 0}{x - 0}\) = 13

cross multiply and you get

y = 13x

Please find attached the completed equation puzzle with the number 8 representing a, created with MS Word.

An equation is an expression of equivalence of the two expressions, quantities and or numbers, which are joined by the '=' sign.

The puzzle can be completed using both variables and values that satisfies equations created in the puzzle as follows;

Let a = 8, starting from top left of the puzzle, we get;

3·a + 4 = 3 × 8 + 4 = 28

The vertical column in the top middle with 28 at the top, indicates that we get the following equation;

28 + 4·a = 28 + 4 × 8 = 60

The row that crosses the middle of the vertical row above indicates that we get;

4·a + 4·a - 3·a = 5·a

The value, 3·a, obtained above is evaluated as; 3·a = 3 × 8 = 24

The vertical column with 6·a is evaluated as follows;

4·a + x = 6·a + a = 7·a

x = 7·a - 4·a = 3·a

x = 3·a

Therefore, we get; 4·a + 3·a = 6·a + a = 7·a

The values left blank are evaluated as follows;

a + 6·a - 3·a = 4·a

2·a + 4·a = 6·a

a + 6·a = 7·a

60 - 2·a = y - 5·a

y = 60 - 2·a + 5·a = 60 + 3·a = 60 + 3 × 8 = 84

84 - 5·a = 84 - 5 × 8 = 44

2·a + 4·a = 6·a

a + 6·a = 7·a

Please find attached the values obtained from the above evaluation of the puzzle, inputed in a similar puzzle created with MS Word.

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Step-by-step explanation:

Pythagoras theorem

16²=7²+a²

a²=16²-7²

a²= 256 -49

a²=207

a=√207

a=14.38

a≈14.4 in. (approx)

Answer:

Step-by-step explanation:

As it is a right angle triangle, we can use Pythagorean theorem to find a

base² + altitude² = hypotenuse²

7² + a² = 16²

49 + a² = 256

       a² = 256 - 49

       a² = 207

     a = √207

a = 14.4 in

Answer:

$ 9.86

Step-by-step explanation:

Tax = 6% of 9.30

      = 0.06 * 9.30

     = $ 0.558

Total costs = 9.30 + 0.558

                  = 9.858

                  = $ 9.86

Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

Answer:   A≈380.13ft²

Step-by-step explanation:

Answer:

0.167

Step-by-step explanation:

if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6

technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167

that should end up being your answer if i did the math right

Answer:

Step-by-step explanation:

5/12 * 6/15 =30/180

1/6=1/6

which is true, Right-hand side is equal to left-hand side

The solutions to the equation x² + 6x + 1 = 0 are x = -3 + 2√(2) or x = -3 - 2√(2)

What is a quadratic equation?

A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0 where a, b, and c are constants, and x is the variable. The solutions can be found using the quadratic formula x = (-b ± √(b² - 4ac)) / (2a) or by factoring the quadratic expression into two linear factors.

To solve the quadratic equation x² + 6x + 1 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

where a, b, and c are the coefficients of the quadratic equation. Substituting the values from our equation, we get:

x = (-6 ± √(6²- 4(1)(1))) / (2(1))

Simplifying inside the square root, we get:

x = (-6 ± √(32)) / 2

We can simplify the square root further by factoring out a 4:

x = (-6 ± 4√(2)) / 2

Simplifying the fraction, we get:

x = -3 ± 2√(2)

Therefore, the solutions to the equation x² + 6x + 1 = 0 are:

x = -3 + 2√(2) or x = -3 - 2√(2)

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1/5 ÷9

= 1/5 * 1/9

= 1/45

9÷ 1/5

= 9*5/1

= 45

Answer:

a. 145 liter bottles (There were 2 bottles remaining)

Step-by-step explanation:

From this question, the total number of bottles that Zach had to fill with apple cider is 581.

He has to distribute these bottles to 4 stores after filling

The question says each store received same number of bottles.

To get the number of bottles received by each store, we divide 581 by 4

= 581 / 4

= 145.25

Therefore each store gets 145 bottles each and there would be a remainder of 2 bottles

a) the demand equation in the form of p = f(Q) is p = -10/3Q + 14533.33

b) when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

c) when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

To find the demand equation in the form of p = f(Q), we need to determine the relationship between the price per unit (p) and the quantity demanded (Q) based on the given information.

Let's use the two data points provided:

Point 1: Price (p1) = Rs 1200, Quantity (Q1) = 4000

Point 2: Price (p2) = Rs 1500, Quantity (Q2) = 3000

First, we calculate the slope of the demand equation using the formula:

Slope = (Q2 - Q1) / (p2 - p1)

Substituting the values, we get:

Slope = (3000 - 4000) / (1500 - 1200) = -1000 / 300 = -10/3

Next, we use one of the data points and the slope to find the y-intercept (b). Let's use Point 1:

p1 = Rs 1200, Q1 = 4000

Using the equation of a straight line (y = mx + b), we can rearrange it to solve for b:

b = y - mx

b = 1200 - (-10/3)(4000) = 1200 + 40000/3 = 1200 + 13333.33 = 14533.33

Therefore, the demand equation in the form of p = f(Q) is:

p = -10/3Q + 14533.33

To find the number of calculators demanded (Q) when the price per unit is Rs 1650, we can rearrange the equation and solve for Q:

1650 = -10/3Q + 14533.33

-10/3Q = 1650 - 14533.33

-10/3Q = -12883.33

Q = (-12883.33) / (-10/3)

Q = 12883.33 * 3/10

Q ≈ 3865

Therefore, when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

Now, let's determine the price per unit (p) when 4500 calculators are demanded. We rearrange the equation and solve for p:

4500 = -10/3Q + 14533.33

-10/3Q = 4500 - 14533.33

-10/3Q = -10033.33

Q = (-10033.33) / (-10/3)

Q = 10033.33 * 3/10

Q ≈ 3010

Therefore, when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

By using the slope-intercept form of a linear equation and the given data points, we can determine the demand equation and solve for various scenarios, including finding quantities demanded at specific prices and determining the appropriate price for a given quantity demanded.

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