(3t + 7)−2(6.3t + 4) *

15.6t − 1
15.6t + 15
−9.6t + 15
−9.6t - 1

1. The rules for the trigonometric functions are given as follows:

2. The equation is: sin(52º) = x/13.

3. Two equations to solve for m are:

4. The length of the hypotenuse of the triangle is of 7.9 inches.

5. The lengths are given as follows:

In this problem, we deal with right triangles, which contains an angle of 90º at the intersection of the two sides, while the hypotenuse connects them, hence the trigonometric ratios are used to obtain the desired measures.

The three trigonometric ratios are given as follows:

Hence the equation for side x in the second problem is given as follows:

sin(52º) = x/13.

In item 3, the Pythagorean Theorem is used to solve for m.

The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.

Then the length m is obtained as follows:

n² + m² = l².

m² = l² - n²

m = square root (l² - n²).

In item 4, the relation used to obtain the hypotenuse length is given as follows:

sin(62º) = 7/h

h = 7/sin(62º)

h = 7.9 inches.

The length BD in item 5 is obtained as follows:

cos(30º) = BD/5

BD = 5 x cos (30º)

BD = 4.3 cm.

Then the length BC is calculated as follows:

sin(22º) = 4.3/BC

BC = 4.3/sin(22º)

BC = 11.5 cm.

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Answer:

54300 ml is greater than 54 L. This is because 54300 ml is equivalent to 54.3 L, which is larger than 54 L.

When multiplying decimals, the number of decimal places in the product is the sum of the decimal places in the factors. When dividing by decimals, move the decimal point in the dividend the same number of places to the right as you move the decimal point in the divisor.

Step-by-step explanation:

-6,-2,0,4,8

this is the answer

The statement "there exists x ∈ S ∖ m" means that there exists an element x that belongs to the set S but does not belong to the set m. In other words, x is an element that is present in S but is not present in m.

The phrase "m ⊊ m ∪ {x} ∈ X" states that the set m is a proper subset of the set m ∪ {x}, and this union belongs to the set X. This implies that the set m ∪ {x} contains all the elements of m along with the additional element x.

The phrase "a contradiction" indicates that the statement or assumption being made leads to a logical inconsistency or contradiction. In this context, the contradiction arises from the fact that the assumption that x is not in m contradicts the statement that m ∪ {x} is a proper superset of m.

Overall, the given statement implies that the existence of an element x in S, which is not in m, leads to a contradiction when considering the relationship between m and m ∪ {x}.

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Answer:

\(\sqrt[3]{30}\)

Step-by-step explanation:

\(30^{1/3}\)

= \(\sqrt[3]{30}\)

Answer:

the test statistic is  0.48

Step-by-step explanation:

Given that;

sample size n = 15

slope of regression b1 = 1.24

Standard of error SE = 2.59

now,

The hypothesis;

Null hypothesis H₀ : B1 = 0

Alternative hypothesis H₁ : B1 ≠ 0

If there is significant relation between variable x and dependent variable y, the slope will not be equal to zero.

Test Statistic

t = b1 / S.E

we substitute

t = 1.24 / 2.59

t = 0.4787 ≈ 0.48

the test statistic is  0.48

Answer:

4 pints is your answer.

On the first roll, you have a 1/3 probability of rolling a 1 or 2 and thus winning $200.

There's a 2/3 probability of not rolling a 1 or 2 on the first roll. On the second roll, there is again a 1/3 probability of rolling a 1 or 2, and 2/3 probability otherwise, so that there is a 1/3*2/3 = 2/9 probability of getting a 1 or 2 and thus winning $100, and 2/3*2/3 = 4/9 probability of losing.

(a) Let \(W\) be a random variable representing the winnings from playing the game. It has the probability mass function

\(P(W=w)=\begin{cases}\frac13&\text{for }w=\$200\\\frac29&\text{for }w=\$100\\\frac49&\text{otherwise}\end{cases}\)

(b) Compute the expected value of \(W\):

\(E[W]=\displaystyle\sum_w w\,P(W=w)=\$200\cdot\frac13+\$100\cdot\frac29+\$0\cdot\frac49\approx\$88.89\)

Median of the set is 34, as it is the middle value of the ordered set (32, 33, 33, 33, 34, 35, 35, 36, 38).

To find the middle of a bunch of numbers, the initial step is to organize the numbers all together from least to most prominent. For this situation, the arranged set is: 32, 33, 33, 33, 34, 35, 35, 36, 38.

The middle is the center number in the arranged set. On the off chance that there is an odd number of values, the middle is the center worth. On the off chance that there is a considerably number of values, the middle is the normal of the two center qualities.

For this situation, there are nine qualities in the set, which is an odd number. The center worth is the fifth worth, which is 34. Thusly, the middle of the set is B. 34.

To confirm, we can count four qualities before 34 and four qualities after 34 in the arranged set. Since there are an equivalent number of values when the middle, we can infer that 34 is for sure the middle.

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Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

Answer:

9ft

Step-by-step explanation:

i took the test...

hope this helps.

Answer:

justify whoo

Step-by-step explanation:

got eeeeeeeeeeee

Answer:

The answer is portrayed in the picture below.

All copyright claims will proceed to Brainly Corporation.

\(\mathcal\pink{The \: answer \: is }\)

only one window has height that is a whole number of centimeters

\(\mathcal{HOPE \: IT \: HELPS}\)

\(\huge\pink{mark \: as \: brainliest}\)

Answer:

9

Step-by-step explanation:

Answer:

9 ounces

Step-by-step explanation:

In this equation, we are given two things. We know how much each disc weighs (.9 ounces) and we know how many discs Danny bought (10 discs).

To figure out how much the discs weigh, we must do the following steps:

We first step up the equation: 10 discs times .9 ounces

Then, we multiply the numbers to get our final answer: 10(.9 ounces)= 9 ounces

The 10 discs weigh a total of 9 ounces.

Answer:

B) y=x/6 is the linear equation

Step-by-step explanation:

a) y=x^6 is a quadratic equation

c) y=6/x is a rational equation

d) y=|x+6| is a absolute value equation

Answer:

B is linear.

Step-by-step explanation:

You can plug the equations into y= or your calculator and compare the graphs

Answer:

b -17

Step-by-step explanation:

−a^2 − 3b^3 + c^2 + 2b^3 − c^2 =

= -(3²) - 3(2³) + (-3)² + 2(2³) - (-3)²

= -9 - 3(8) + 9 + 2(8) - 9

= -9 - 24 + 9 + 16 - 9

= -17

Answer:84%

Step-by-step explanation:because of the process of elimanation

Answer:

3000mL

Step-by-step explanation:

One liter is 1000 mL so 3 liters is 3000mL.

As x increases, y decreases. You can see the line curve downward which shows the y value decreases as the x value increases.
The rate of change for y as a function of x is not constant, therefore the function is nonlinear. I’m not really sure about this one but I think this might be the answer.
The y intercept of the graph is the function value y = 8. U can look and see the line touches the 8 on the y axis.
When x = 1, the function value y = 5. U can look at the 1 on the x axis and look up to see the line goes on the 5.

Hope this helped

A combination is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

Number of lottery prizes = 1

Number of people = 500

The number of ways a lottery prize can be distributed between 500 people is 500.

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

Number of lottery prizes = 1

Number of people = 500

The combination is given as:

\(^nC_r =\frac{n!}{r!(n-r)!}\)

Here,

n = 500

r = 1

Now,

\(^{500}C_1\)

= \(\frac{500!}{1!\times499!}\)

= (500 x 499!) / 499!

= 500

Thus,

The number of ways a lottery prize can be distributed between 500 people is 500.

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Answer:

Yes

Step-by-step explanation:

Given that there is ¹/12 foot in 1 inch, this can be interpreted as being the constant of proportionality for the relationship between feet and inches. This means, for the graph to be said to represent this relationship, the constant of proportionality, which is y/x must be ¹/12.

How do we know this? Check this out using the four points given on the graph.

(12, 1) => y/x = ¹/12

(24, 2) => y/x = ²/24 = ¹/12

(36, 3) => y/x = ³/36 = ¹/12

(48, 4) => y/x = ⁴/48 = ¹/12

As we can see, the graph represents the shows a relationship between feet and inches.

The measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees

To find the measure of the angle to the nearest degree given trigonometric ratios, we can use inverse trigonometric functions.

Here are the steps to determine the angles:

a) sin A = 0.6018

Taking the inverse sine (arcsin) of both sides:

A = arcsin(0.6018)

Using a calculator, we find A ≈ 36 degrees (rounded to the nearest degree).

b) cos B = 0.9205

Taking the inverse cosine (arccos) of both sides:

B = arccos(0.9205)

Using a calculator, we find B ≈ 23 degrees (rounded to the nearest degree).

c) tan C = 0.0349

Taking the inverse tangent (arctan) of both sides:

C = arctan(0.0349)

Using a calculator, we find C ≈ 2 degrees (rounded to the nearest degree).

Therefore, the measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees.

Note: Trigonometric functions have periodicity, meaning there may be multiple angles with the same trigonometric ratio.

To determine the principal angle within a specific range, we use the inverse trigonometric functions.

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Answer:

12

Step-by-step explanation:

SOLUTION:  

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 13

and the lengths of the legs are 5 and x.  

Answer:

The factor which is used to convert feet per minute into miles per minute is:

1 ft per minute=0.000189 miles per minute.

( since, 1 ft.= 0.000189 miles )

Step-by-step explanation:

Conversion factor--

A conversion factor is a factor which is used to convert one unit to another by multiplication or division by a specified number.

We know that:

1 miles= 5280 ft.

This means that:

1 ft.=1/5280 miles

i.e. 1 ft.= 0.000189 miles.

Hence, 1 ft per minute=0.000189 miles per minute.