What would be the equation to represent this function?

\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)

Make sure your calculator is in Degree mode.

The answer to the above system of equations is

x = -1

y = 1

z = 3

Step-by-step explanation:

\(3x - y + z = - 1 \\ 2x + 3y + z = 4 \\ 5x + 4y + 2z = 5\)

Let's multiply the first equation by 2 then subtract the 3rd equation from the first:

\(2(3x - y + z) = - 1 \times 2\\ 6x - 2y + 2z = - 2 \\ - (5x + 4y + 2z) = 5 \\ \\ 6x - 2y + 2z = - 2 \\ - 5x - 4y - 2z = - 5 \\ = x - 6y = - 7\)

Now let's subtract the second equation from the first

\(3x - y + z = - 1 \\ - (2x + 3y + z ) = 4\\ \\ 3x - y + z = - 1 \\ - 2x - 3y - z = - 4 \\ = x - 4y = - 5\)

Now let's subtract our two new equations with two variables

\( x - 6y = - 7 \\ x - 4y = - 5\)

\(x - 6y = - 7 \\ - (x - 4y) = - 5 \\ \\ x - 6y = - 7 \\ - x + 4y = 5 \\ = - 2y = - 2 \\ \frac{ - 2y}{ - 2} = \frac{ - 2}{ - 2} \\ y = 1\)

Let's now substitute y equals 1 into one of the new equations x - 6y = -7

\( x - 6y = - 7 \\ x - 6(1) = - 7 \\ x - 6 = - 7 \\ x = - 7 + 6 \\ x = - 1\)

Now that we have answers for x and y we can substitute them into any of the first three original equations above

\(3x - y + z = - 1 \\ 3( - 1) - 1 + z = - 1 \\ - 3 - 1 + z = - 1 \\ - 4 + z = - 1 \\ z = - 1 + 4 \\ z = 3\)

Now let's check by plugging in our values x = -1, y = 1 and

z = 3 into any of the other 3 equations

\(5x + 4y + 2z = 5 \\ 5( - 1) + 4(1) + 2(3) = 5 \\ - 5 + 4 + 6 = 5 \\ - 1 + 6 = 5 \\ 5 = 5\)

Gianna is 90 miles far away in 3 hours of driving.

She drove in total of 180 minutes.

The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.

Given,

Gianna drives 5 miles in 10 minutes

Speed per minute = 5/10 = 0.5 miles/minute

Gianna drove in total for 3 hours

1 hour = 60 minutes

3 hours = 60 × 3 = 180 minutes

Distance Gianna drove in 180 minutes = speed per minute × time

                                                                = 0.5 × 180

                                                                = 90 miles

Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.

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It is easier to add, subtract, multiply or divide very large or very small number in scientific notation because it reduces error, simplifies computation, and eases comparison.

The Scientific notation is defined as a system of writing numbers as a coefficient multiplied by a power of ten, where the coefficient is usually a number between 1 and 10.

Using scientific notation makes it easier to perform arithmetic operations on very large or very small numbers for several reasons:

(i) Simplifies computation: Scientific notation simplifies the computation of arithmetic operations by reducing the number of digits involved in the calculation.

(ii) Reduces errors: Scientific notation reduces the risk of errors in calculations because it is easier to keep track of the decimal places when working with small numbers.

(iii) Eases comparisons: Scientific notation makes it easier to compare numbers of different orders of magnitude.

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D. 132º

1) Given that in this circle crossed by two secant lines we can state the following Theorem:

2) then we can write:

So the measure of the arc CE = 132º (D)

Ahab's total change to funds is -$175, which means he spent more than he gained.

Ahab spent 3 tires at $50 each, which is a total of 3 x $50 = $150.

Later, he returned one tire, so he gets $50 back.

He also found a $5 bill, so he has an extra $5.

He then bought 2 jackets at $40 each, which is a total of 2 x $40 = $80.

The total amount Ahab spent is $150 + $80 = $230.

However, he also received $50 back and found $5, so his total change to funds is $50 + $5 - $230 = -$175.

Therefore, Ahab's total change to funds is -$175, which means he spent more than he gained.

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Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

Answer:

I don't know what are you saying bro

Answer:

6 / 51

Step-by-step explanation:

It is false.

Reason:

The probability of picking a black card at first is:

26 / 52 = 1/2

There are now 25 black cards and 51 cards in total.

The probability of picking another black card, if there's no replacement is now:

25 / 51

Now, there are 24 black cards and 50 cards left in total.

The probability of picking a black card without replacement now becomes:

24 / 50 = 12 / 25

Hence, the probability of picking three black cards without replacement is:

1/2 * 25/51 * 12 / 25 = 300 / 2550

In simplest form, it is 6 / 51

━━━━━━━☆☆━━━━━━━

▹ Answer

180 miles

▹ Step-by-Step Explanation

Distance = mph * hours

Distance = 45 mph * 4 hrs

Distance = 180 miles

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

Step-by-step explanation:

5s + 6c = 23.91

2s + 7c = 17.89

10s + 12c = 47.82

-10s - 35c = -89.45

-23c = -41.63

c =  $1.81 for a large coffee

2s + 7(1.81) = 17.89

2s = 5.22

s = $2.61 for a scone

Answer:

B, He is -40 due to it asking which number is his point. If he was positive 40 then he would be on an island or flying in the sky. Your answer is -40

Answer:

f(1)= 1

Step-by-step explanation:

So assuming you're doing basic functions, f(x) just means "function of x".

This means that x is your input. So once you plug in the x value, you will see that when the x value of your function is 1, the y value is 1 as well.

This will be marked brainliest if correct ok?

2 in a half from f 2 and a half (2 1/2) units down from line. I'm not sure though but you just have to listen to your teacher help yall learn and you'll know! PLSSS MARK ME BRAINLIEST OR COMMENT ME OR STAR ME OR THANK ME OR SOMETHING PLSSS

Answer:

He saved $4

1/5 of the total amount saved

Step-by-step explanation:

20 - 16 = 4

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.

A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.

Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.

From the data given:

a.

In calculating the factor A variation, there are two degrees of freedom.

In determining the variation of factor B, there are two degrees of freedom.

b.

Finding the degree of freedom using the interaction variation, there are four degrees of freedom.

c.

In finding the random variable, there are 9(4-1) = 27 degrees of freedom.

d.

In calculating the total variable, there are 9*4-1 =35 degrees of freedom.

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Answer:

\( \frac{19}{20} \)

Step-by-step explanation:

\( \frac{7}{10} + \frac{1}{4} \\ \frac{14 + 5}{20} \\ = \frac{19}{20} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

multiplication

Step-by-step explanation:

The inverse of division is multiplication

The inverse of addition is subtraction

The inverse of multiplication is division

The inverse of subtraction is division

Answer:

279.2 squared inches

Step-by-step explanation:

first find the base of the triangular prism which is  18*5=90.

then multiply 18*4.7 to get 84.6 then multiply that by 2 to get 169.2

then find the area of the triangles which is 4*5= 20 then add it all up which is equal to 279.2 ( 90 + 20) + 169.2= 279.2

Hope this was helpful :)

Answer:

Yes

Step-by-step explanation:

To know if a table is a function or not, we have to see if 1 input only has 1 output.

Looking at the table each input only has 1 output, so it is a function.

Answer:

Insurance, traffic, and even sports strategies. I said that it was likely there was going to be alot of traffic since it was Friday and there was even more than I thought there was going to be.

Step-by-step explanation:

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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To find the subtracted value, we need to calculate the multiplicative inverse of (4/3 - 4/9) and then subtract it from the sum of 7/12 and 7/8.

First, let's find the multiplicative inverse of (4/3 - 4/9):

Multiplicative inverse = 1 / (4/3 - 4/9)

To simplify the expression, we need a common denominator:

Multiplicative inverse = 1 / ((12/9) - (4/9))

= 1 / (8/9)

= 9/8

Now, we need to subtract the multiplicative inverse from the sum of 7/12 and 7/8:

Subtracted value = (7/12 + 7/8) - (9/8)

To perform this calculation, we need a common denominator:

Subtracted value = (7/12 * 2/2 + 7/8 * 3/3) - (9/8)

= (14/24 + 21/24) - (9/8)

= 35/24 - 9/8

To simplify further, we need a common denominator:

Subtracted value = (35/24 * 1/1) - (9/8 * 3/3)

= 35/24 - 27/24

= 8/24

= 1/3

Therefore, subtracting 1/3 from the sum of 7/12 and 7/8 will give you the multiplicative inverse of (4/3 - 4/9).

Answer: 3.19

Step-by-step explanation:

So to find the average I used a simple but pretty effective method

3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+8/26=3.1923

So the new average is 3.19

Answer:

181.24

Step-by-step explanation:

The total surface area of the Trapezoidal Prism to be covered is: 181.24 cm².

Surface Area = 2(area of trapezoid) + area of the 4 rectangular faces.

Area of Rectangle 1 = length × width = 9 × 4 = 36 cm²

Area of Rectangle 2 = length × width = 9 × 5 1/4 = 47.25 cm²

Area of Rectangle 3 = length × width = 9 × 4 1/5 = 37.8 cm²

Area of Rectangle 2 = length × width = 9 × 6 1/2 = 58.5 cm²

Area of the two trapezoids = 2[1/2(a + b)h] = 2[1/2(6½ + 5¼)4] = 47 cm²

Surface area = 36 + 47.25 + 37.8 + 58.5 + 47 = 226.55 cm²

Total surface that will be covered = 4/5(226.55) = 181.24 cm²

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Answer:

i) \(P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669\)

ii) \(P(X=0)=(20C0)(0.25)^0 (1-0.25)^{20-0}=0.00317\)

\(P(X=1)=(20C1)(0.25)^1 (1-0.25)^{20-1}=0.0211\)

\(P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669\)

And replacing we got:

\( P(X \geq 3) = 1- [0.00317+0.0211+0.0669]= 0.90883\)

iii) \(P(X <2)= 0.00317+ 0.0211= 0.02427\)

Step-by-step explanation:

Let X the random variable of interest "number of inhabitants of a community favour a political party', on this case we now that:

\(X \sim Binom(n=20, p=0.25)\)

The probability mass function for the Binomial distribution is given as:

\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)

Where (nCx) means combinatory and it's given by this formula:

\(nCx=\frac{n!}{(n-x)! x!}\)

Part i

We want this probability:

\(P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669\)

Part ii

We want this probability:

\(P(X\geq 3)\)

And we can use the complement rule and we have:

\(P(X\geq 3) = 1-P(X<3)= 1-P(X \leq 2) =1- [P(X=0) +P(X=1) +P(X=2)]\)

And if we find the individual probabilites we got:

\(P(X=0)=(20C0)(0.25)^0 (1-0.25)^{20-0}=0.00317\)

\(P(X=1)=(20C1)(0.25)^1 (1-0.25)^{20-1}=0.0211\)

\(P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669\)

And replacing we got:

\( P(X \geq 3) = 1- [0.00317+0.0211+0.0669]= 0.90883\)

Part iii

We want this probability:

\( P(X <2)= P(X=0) +P(X=1)\)

And replacing we got:

\(P(X <2)= 0.00317+ 0.0211= 0.02427\)

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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