graph rational number of 0.9, -2/1/2, 0.25, -3/4 in number line

Answer:

2

Step-by-step explanation:

2/19=2:19

The surface area of the prism is 62 in²

The formula for surface area of a right triangular prism is expressed as;

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

Such that the parameters are;

Substitute the values

Perimeter= 2(12 + 4) = 2(16) = 32 in

Base area = 1/2 base ×height

Base area = 1/2 × 12 × 5

Multiply the values, we get;

Base area = 30 in

Surface area = 30 + 32

Add the values

Surface area = 62 in²

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The point where the boat should be landed is the point 3.4 miles from point P towards the town.

The point where the boat should be landed can be found by expressing

the distance traveled on the boat and walking as a function of time.

Given that x represents the distance from point P to the boat landing point.

Therefore, distance of rowing the boat = √((12 - x)² + 3²)

The total time, t, is, therefore;

\(t=\frac{12-x}{4} +\frac{\sqrt{x^2+3^2} }{3}-----------(1)\)

differentiate the above equation we get:

\(\frac{dt}{dx} =\frac{d}{dx} (\frac{12-x}{4} +\frac{\sqrt{x^2+3^2} }{3} )\\\\\\=\frac{12.(-3+4*\frac{2x}{2*\sqrt{x^2+9} } )}{144} \\\\\\=\frac{12(-3+4*\frac{2x}{2*\sqrt{x^2+9} }) }{144}\\\\=-\frac{1}{4} +\frac{x}{3*\sqrt{x^2+9} } \\\\\frac{x}{3*\sqrt{x^2+9} }=\frac{1}{4} \\\\cross multiplying both terms we get:\\\\4x=3*\sqrt{x^2+9}\)

squaring on both sides we get:

16x^2=9(X^2+9)

16x^2=9x^2+81

7x^2=81

\(x=\frac{9*\sqrt{x} }{7}\)

Approximately,x=3.4 miles.

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Answer:

Probability is the chances of something happening.

Step-by-step explanation:

Answer:

28.07°

Step-by-step explanation:

use SohCahToa

in this case we use tan^-1 to get the angle x°

tan^-1(8/15)=28.07248694

to the nearest hundredth

=28.07°

Answer:

Step-by-step explanation:

6/8 in simplest form is 3/4 but value is still the same so

1. no

Answer: x<-1943

Step-by-step explanation:

Answer:

I got you.

Step-by-step explanation:

Answer:

x³ - 8x² - 20x

Step-by-step explanation:

Zeroes: 10, 0, -2

Factors are: (x - 10), (x - 0), (x + 2)

Multiply all factors to get expression:

(x - 10)x(x + 2) = x(x - 10)(x + 2)

= x(x² - 10x + 2x - 20)

= x(x² - 8x - 20)

= x³ - 8x² - 20x

Answer:

70% IS THE ANSWER

Step-by-step explanation:

Hope I helped.

Answer:

70%

Step-by-step explanation

0.7×100=70

Answer: pi/3

Step-by-step explanation:

correct on edge 2020

The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

sin⁻¹ ( √3/2 ) = θ

Now , the value of θ is calculated by

In a triangle , sin θ = opposite / hypotenuse

So , sin θ = √3/2

The value of θ = 60°

So , the measure of 60° in radians is θ = π/3

Hence , the value of θ from the trigonometric relation is π/3

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Answer:

36

Step-by-step explanation:

12 times 3

Answer:

probably 36

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

You can use a graphing calculator (geogebra) It works

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

Answer:

54

Step-by-step explanation:

We can see that the triangles are similar. We can imagine that the triangles were reflected, meaning angle ACD = angle ABD.

Answer:

(-2/√3)sin(x) + (√3/2)cos(x).

Step-by-step explanation:

We can use the angle addition formula for sine to rewrite sin(x+7π/6) in terms of sinx and cosx:

sin(x+7π/6) = sin(x)cos(7π/6) + cos(x)sin(7π/6)

Recall that cos(7π/6) = -√3/2 and sin(7π/6) = -1/2, so we can substitute these values:

sin(x+7π/6) = sin(x)(-√3/2) + cos(x)(-1/2)

Now, we can simplify this expression by multiplying through by -2/√3:

sin(x+7π/6) = (-2/√3)sin(x) + (√3/2)cos(x)

So, sin(x+7π/6) can be rewritten in terms of sinx and cosx as (-2/√3)sin(x) + (√3/2)cos(x).

The function sin(x + 7π/6) in terms of sin x and cos x can be written as sin(x + 7π/6) = 1/2 [cos(x) - √3sin(x)].

Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.

The main three trigonometric ratios are sine, cosine and tangent functions.

The given expression is,

sin(x + 7π/6)

We have the trigonometric identity,

sin (u + v) = sin (u) cos (v) + cos (u) sin (v)

Here, u = x and v = 7π/6

Using the formula,

sin(x + 7π/6) = sin (x) cos (7π/6) + cos (x) sin (7π/6)

                    = -√3/2 sin (x) + 1/2 cos(x)

                    = 1/2 [cos(x) - √3sin(x)]

Hence the rewritten form is sin(x + 7π/6) = 1/2 [cos(x) - √3sin(x)].

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Samir's fruit salad has a higher percentage of melon and will taste more melony than Kylie's fruit salad.

Percentage is a way of expressing a proportion or a fraction as a number out of 100. It is represented by the symbol % (percent).

In the given question,

To determine whose fruit salad will taste more melony, we need to calculate the percentage of melon in each fruit salad.

For Samir's fruit salad:

The total amount of fruit is 1 + 3 = 4 cups

The amount of melon is 1 cup

The percentage of melon is (1/4) x 100% = 25%

For Kylie's fruit salad:

The total amount of fruit is 2 + 9 = 11 cups

The amount of melon is 2 cups

The percentage of melon is (2/11) x 100% = 18.18% (rounded to two decimal places)

Therefore, Samir's fruit salad has a higher percentage of melon and will taste more melony than Kylie's fruit salad.

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Answer:15% , 0.15 , 6/40 or 3/20

Step-by-step explanation:

The percent is 15% and 15 hundredths is 0.15 and the fraction is just 6/40.

Answer:

3/20, 0.15, 15%

Step-by-step explanation:

Fraction:

6/40 un-simplified

3/20 simplified

Decimal:

0.15

Percentage:

15%

$105 is higher than $100, the minimum Payment due on Josiah's credit card is $105.

The minimum payment due on Josiah's credit card 3% of his outstanding balance and compare it to the minimum payment of $100. The higher amount between the two will be the minimum payment.

1. Calculate 3% of $3,500:

3% * $3,500 = 0.03 * $3,500 = $105

2. Compare the calculated amount with the minimum payment of $100:

Minimum payment = max($105, $100)

Since $105 is higher than $100, the minimum payment due on Josiah's credit card is $105.

The credit card company sets a minimum payment to ensure that the cardholder makes regular payments towards their outstanding balance. The minimum payment is usually a percentage of the balance or a fixed amount, whichever is higher. In this case, the minimum payment is calculated as 3% of the outstanding balance or $100, whichever amount is greater.

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The length of the third side is 2√34 + 6.

We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let x be the length of the third side. Then we have:

2√34 + 6 > x

Subtracting 6 from both sides, we get:

2√34 > x - 6

Adding 6 to both sides, we get:

x < 2√34 + 6

Therefore, the length of the third side must be less than 2√34 + 6.

To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:

2√34 + 6 = x

If this is true, then the given sides can form a triangle.

Simplifying the equation, we get:

x = 2√34 + 6

The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.

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Answer:

A; TDC Inc., has 40 salespeople

B; Exactly half of the salespeople took fewer than 6 flights last year

F; Exactly half of the salespeople took at least 7 flights last year

Answer:

The null hypothesis is \(H_{0} = 4.3\).

The alternate hypothesis is \(H_{a} > 4.3\)

Step-by-step explanation:

Null hypothesis:

The previously report, the known value.

Alternate hypothesis:

What is questioned(higher, lower, different,...) of the null hypothesis

Previously, an organization reported that teenagers spent an average of 4.3 hours per week, on average, on the phone.

This means that the null hypothesis is \(H_{0} = 4.3\).

The organization thinks that, currently, the mean is higher.

That is, higher than 4.3. So

The alternate hypothesis is \(H_{a} > 4.3\)

According to the given data the unit vector in the same direction as v is

u = (-5/ sqrt(106))i - (9/ sqrt(106))j.

A unit vector is a vector that has a length or magnitude of 1. In other words, a unit vector is a vector that has been normalized, or scaled down to have a length of 1 while still pointing in the same direction as the original vector.

To find the unit vector in the same direction as v = -5i - 9j, we first need to calculate its magnitude.

The magnitude of v is given by:

|v| = sqrt((-5)^2 + (-9)^2) = sqrt(25 + 81) = sqrt(106)

Now we can find the unit vector in the same direction as v by dividing v by its magnitude:

u = v / |v| = (-5i - 9j) / sqrt(106)

Therefore, the unit vector in the same direction as v is:

u = (-5/sqrt(106))i - (9/sqrt(106))j

Note that the unit vector has a magnitude of 1 and points in the same direction as v.

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Answer: $80.16 ($748.16)

Step-by-step explanation: This is a simple multiplication question. You multiply 668 by .12

(i'm doing your math in the middle of my math class. you're welcome.)

Answer:

find ity yourself          -_______________-

Step-by-step explanation:

Since there is no number greater or less than the above one, it doesn't contain any outlier.

The given data set is

17.2  22.1  18.5  17.2  18.6  14.8  21.7  24.1  13.3  16.2

17.5  19.0  23.9  14.8  13.5  15.8  13.1  16.1  21.9  23.9

19.3  15.4  16.7  19.5  16.2  16.9  17.1  20.2  19.7  18.7

17.6  15.9  15.2  17.1  15.0  15.8  16.3  22.8  22.2  21.7

20.7  12.0  19.9  19.4  13.4  19.8  17.7  18.8  21.6  11.9

The variance is a measure of variability. It is calculated by taking the average of squared deviations from the mean. Variance tells you the degree of spread in your data set. The more spread the data, the larger the variance is in relation to the mean.

(a) Sample Mean = The Sum of the given terms/Number of terms

So, sample mean as µ=17.954

Variance can be denoted by \(s^2= \frac{1}{50-1} \Sigma_{n=1} (x_{i}-19.954)^2\)

=9.97

Standard deviation s=√9.97

=3.16

b) The standard error can be denoted by:

s/√n-1 = 3.16/√49

=0.45

c) For the given data,

The value of the least sample number =12.0

The value of the greatest number in sample=24.1

So, Q1=15.83

Median =17.75

Q3=19.88

d) The IQ range would be as follows:

Q3-Q1=19.88-17.75

=4.05

The outlier must be greater than 19.88+1.5(4.05)=25.96 or less than 15.83+1.5(4.05)=9.76.

Since there is no number greater or less than the above one, it doesn't contain any outlier.

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Answer: $151.20

Step-by-step explanation:  8 percent of 140. Add this number to 140.

\(\frac{x}{140} = \frac{8}{100}\)

100x=112

x=11.2

The image of the function f(x) = x² is equal to g(x) = x² - 1.

In this problem we find the definition of a quadratic equation f(x) = x² and the graph of the image, whose expression must be derived. By direct inspection, we notice that the image is a vertical translation of the parent function. Vertical translations are defined by the following formula:

f(x) → f(x) + k, k > 0 for an upward translation.

If we know that f(x) = x² and k = - 1, then the equation for the image is:

g(x) = x² - 1

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