use the invert-and-multiply rule to divide. Reduce your answer to lowest terms.-10 divide (5/-3)

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

Answer:

The answer is $40 per hour

Step-by-step explanation:

Answer:

40$ per hour

Step-by-step explanation:

The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.

To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.

Given:

AB = 10

AE = 2a + 10

ED = x + 3

CD = 4

Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.

We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.

AE + ED = 6.

Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.

To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:

AE = 6 - x - 3.

Simplifying further, we get;

AE = 3 - x.

Therefore, the value of AE is 3 - x.

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Answer:

-39

Step-by-step explanation:

Answer:

Multiply 36 and 21 and put point(.) after two digits

Step-by-step explanation:

7.57

Answer:

Median is 6

standard deviation is 2.39

Step-by-step explanation:

the median is the mid number in the data set

The median formula is {(n + 1) ÷ 2}th, where “n” is the number of items in the set and “th” just means the (n)th number.

There are 51 data points in this set (n = 51)

so 51 / 2 = 25.5, the. number in the 25th slot is our median

3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11

the standard deviation is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Answer:

i think B

Step-by-step explanation:

Answer:

14,092.54

Step-by-step explanation:

I just had this question and got it right.

Answer:

The possible number of combination to select two positions from 9 people is 72.

The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags

Given data ,

Bob packs 13 pounds of nuts in bags.

Each bag has 1/4 pound of nuts

Now , the number of bags = pounds of nuts / pounds of nuts in each bag

A = 13 / 1/4

On simplifying the equation , we get

A = 52 bags

Hence , the number of bags is 52 bags

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Answer:

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.

To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.

What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).

What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.

To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value

step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)

Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)

Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11

Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)

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Hi there!

We can begin by writing an equation for each company.

Let x = number of hours

Company A:

y = 250 + 50x (hourly rate is $50)

Company B:

y = 150 + 75x (hourly rate is $75)

We can set the two equations equal to each other to find their intersection point:

250 + 50x = 150 + 75x

Solve for x:

250 - 150 = 75x - 50x

100 = 25x

x = 4

Solve for y by plugging x into an equation:

y = 150 + 75(4) = 150 + 300 = 450

Thus, the lines intersect at (4, 450)

4 hours ⇒ $450 dollars

Answer:

Step-by-step explanation:

The true statement about the parallelogram is (c) Yes, because adjacent sides are congruent.

Given that

Figure ABCD is a parallelogram

Such that

Side lengths = 5 cm

This means that

The figure is a square

As a general rule

All squares can be classified as rhombus

This is because a rhombus is a quadrilateral with all four sides of equal length and square is a type of rhombus in which all four sides are equal in length

Hence, the true statement is (c)

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Answer:

this problem is actually already solved the slope is 7 or 7/1 and the y -intercept is 8.

hope this helped!

Answer:

....................... what is the queston

Step-by-step explanation:

Answer:

<15

Step-by-step explanation:

There is 90% confidence that the population mean number of books people read is between 11.55 and 13.25.

To construct a 90% confidence interval for the mean number of books people read, we can use the following formula:

Confidence Interval = x ± (Z * (s / √n))

Where:

x = sample mean (12.4 books)

s = sample standard deviation (16.6 books)

n = sample size (1017)

Z = Z-score

Since the sample size is large (n > 30), we can assume the sampling distribution is approximately normal.

We can use the standard normal distribution to find the Z-score for a 90% confidence level.

The Z-score for a 90% confidence level is approximately 1.645.

Now we can calculate the confidence interval:

Confidence Interval = 12.4 ± (1.645  (16.6 / √1017))

Confidence Interval ≈ 12.4 ± (1.645  (16.6 / √1017))

Confidence Interval ≈ 12.4 ± (1.645  (16.6 / 31.95))

Confidence Interval ≈ 12.4 ± (1.645 x 0.518)

Confidence Interval ≈ 12.4 ± 0.85

There is 90% confidence that the population mean number of books people read is between 11.55 and 13.25.

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The Probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

To find the probability that the randomly chosen coin is gold, given that it is small, we need to determine the number of small gold coins and the total number of small coins.

From the given information, Marco has 12 small gold coins and 3 small silver coins, making a total of 12 + 3 = 15 small coins.

The probability that the coin is gold, given that it is small, can be calculated as the ratio of the number of small gold coins to the total number of small coins:

P(Gold|Small) = Number of Small Gold Coins / Total Number of Small Coins

P(Gold|Small) = 12 / 15

Simplifying the fraction, we have:

P(Gold|Small) = 4 / 5

Therefore, the probability that the randomly chosen coin is gold, given that it is small, is 4/5 or 0.8 when expressed as a decimal.

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After answering the prοvided questiοn, we can cοnclude that Therefοre, equatiοn the twο planes will be apprοximately 798.12 miles apart at 3:00 PM.

An equatiοn is a statement in mathematics that states the equality οf twο expressiοns. An equatiοn has twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The gοal οf equatiοn sοlving is tο determine which variable(s) must be changed in οrder fοr the equatiοn tο be true. Simple οr cοmplicated equatiοns, regular οr nοnlinear equatiοns, and equatiοns with οne οr mοre factοrs are all feasible.

\($ \rm V d_{n}s=-280s i n(23 ^{\circ})=-112.66\ m p h$\)

And the east-west component of its velocity is given by:

\($\begin{array}{c}{{\rm V d_{e}w=280c o s(23^{\circ})=260.98\ m p h}}\\ {{\rm V s_{n}s=320s i n(39^{\circ})=197.89\ m p h}}\end{array}$\)

And the east-west component of its velocity is given by:

\($\begin{array}{l c r}{{}}&{{}}&{\rm {{ V}s_{e}w=-320c o s(39^{o})-245.20m p h}}\\ {{}}&{{}}&{{}}\\ {{}}&{{}}&{{}}\end{array}$\)

\(\rm d = vt\)

where d is the displacement vector, v is the velocity vector, and t is the time interval.

\($\rm d d=(-112.66m p h,260.98m p h) \times 3=(-337.98m i l e s,782.94m i l e s)$\)

\($ \rm d s=(197.89m p h,-245.20m p h)*3=(593.67m i l e s,-735.60m i l e s)$\)

where \(\rm dd_ns\) and \(\rm dd_e w\) are the north-south and east-west components of dd, and similarly for \(\rm ds_ns\) and \(\rm ds_e w\)

\(\rm |dd - ds| = \sqrt{(-337.98 - 593.67)^2 + (782.94 + 735.60)^2} \\= 798.12\ miles\)

Therefore, the two planes will be approximately 798.12 miles apart at 3:00 PM.

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The solutions to the nearest tenth are x = -0.1 and x = 1.3

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

5x² - 2x - 1 = 4x

Evaluate the like terms

So, we have

5x² - 6x - 1 = 0

Next, we solve using a graph

The graph of 5x² - 6x - 1 = 0 is added as an attachment

From the attached graph, we can see that the curve intersects with the x-axis at x = -0.1 and x = 1.3

This means that the solutions are x = -0.1 and x = 1.3

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Answer:

The solutions to the equation 5x^2-2x-1=4x to the nearest tenth are x ≈ 1.3 or x ≈ -0.4.

Step-by-step explanation:

To solve the equation 5x^2-2x-1=4x to the nearest tenth, we can start by moving all the terms to one side of the equation.

5x^2-2x-1=4x

5x^2-6x-1=0

Next, we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 5, b = -6, and c = -1.

Plugging these values into the formula gives:

x = (-(-6) ± sqrt((-6)^2 - 4(5)(-1))) / 2(5)

x = (6 ± sqrt(56)) / 10

Answer:

the probability that A is the overall winner is 5/14 or 0.35714

Step-by-step explanation:

Given the data in the question;

probability that A is the overall winner P[A is the overall winner]

⇒ \(P_{A}\)\(P_{A}\) + \(P_{A}\)\(P_{C}\)\(P_{B}\)\(P_{A}\)\(P_{A}\) + \(P_{A}\)\(P_{C}\)\(P_{B}\)\(P_{A}\)\(P_{C}\)\(P_{B}\)\(P_{A}\) \(P_{A}\)  + ................

= \(P_{B}\)\(P_{C}\)\(P_{A}\)\(P_{A}\) + \(P_{B}\)\(P_{C}\)\(P_{A}\)\(P_{B}\)\(P_{C}\)\(P_{A}\)\(P_{A}\) + \(P_{B}\)\(P_{C}\)\(P_{A}\)\(P_{B}\)\(P_{C}\)\(P_{B}\)\(P_{C}\)\(P_{A}\) + ........

P(A) = \(\frac{1}{2}\) = \(P_{B}\) = \(P_{C}\)             ∴{ they are evenly matched player}

so P(A is overall winner) will be;

= (\(\frac{1}{2}\))² + (\(\frac{1}{2}\))⁵ + (\(\frac{1}{2}\))⁸ + ..........+ (\(\frac{1}{2}\))⁴ + (\(\frac{1}{2}\))⁷ + (\(\frac{1}{2}\))¹⁰ + .............

= (\(\frac{1}{2}\))² [1 + (\(\frac{1}{2}\))³ + (\(\frac{1}{2}\))⁶ + .........] + (\(\frac{1}{2}\))⁴[1 + (\(\frac{1}{2}\))³ + (\(\frac{1}{2}\))⁶ + .........]

= [ (\(\frac{1}{2}\))² + (\(\frac{1}{2}\))⁴ ] [ 1 / 1 - (\(\frac{1}{2}\))³ ]

= [ (\(\frac{1}{4}\)) + (\(\frac{1}{16}\)) ] [ \(\frac{8}{7}\) ]

= \(\frac{5}{16}\) × \(\frac{8}{7}\)

= 5/14 or 0.35714

Therefore, the probability that A is the overall winner is 5/14 or 0.35714

The probability that A is the overall winner is; 5/14

Now, if the player loses, then it means that two games in a row are won by the same player, and then the tournament will be over. Thus; \(P_{L}\) = 0

       \(P_{WLX}\) = ¹/₈

Furthermore from that above, he will have another chance to win twice in a row which gives a probability in form of a geometric series as;

¹/₄ + (¹/₄ × ¹/₈ ) + (¹/₄ × ¹/₈² ) +  (¹/₄ × ¹/₈³ ) + ........

Now, for that series, as n approaches infinity, the sum of the series would give us;

∑ = ¹/₄(1/(1 - ¹/₈ ))

⇒ ¹/₄(⁸/₇)

⇒ ²/₇

Since player C's first game would already be against another game's winner, then it means that P is also the chance player C will win the tournament but the probability that player A will win is same as probability that player B will win which is;

[1 - (²/₇)]/2

⇒ ⁵/₇ × ¹/₂

P(A) = P(B) = ⁵/₁₄

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Answer:

lol the answer is the second one

Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

We can show this in the following formula:

m2 = -1 / m1, where

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

-1 (y = 7x)

-y = -7x

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

    -y = -7x

+

    y = -4x + 3

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

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

Answer:

D

Step-by-step explanation:

Answer:

2.83 inches

Step-by-step explanation:

Let y equal the length of the drawing in inches. Use a proportion to solve for the missing length.

Answer:

a. For A2 to compute the interest.

b. For B2 to compute the principal.

c. For C2 to compute the interest rate.

d. For D2 to compute time in years, given the interest, rate, and the principal.

e. For E2 to compute the time in months, given the time in years.

a) A2 = B2 x C2 x D2

b) B2 = A2/ (C2 x D2)

c) C2 = A2/ (B2 x D2)

d) B2 = A2/ (C2 x D2)

e) E2 = 12 x D2

I know they only asked for principle, I just added for imformation lol

Answer:

5 percent.

Step-by-step explanation:

Divide tax by the cost to see the percentage of the tax.

750/37.50=0.05

5 percent.