8,502,000,000,000
In scientific notation??

Given the above Trigonometric expressions,

1) θ = 35°

2) θ =62°

3) θ = 90-y°

Trigonometric functions are real functions in mathematics that connect an angle of a right-angled triangle to ratios of two side lengths. They are widely utilized in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more.

There are six expressions of an angle that are often used in trigonometry. Their names and acronyms include

For A)

Sin(55) = cos (θ)

sin (55)= sin(90-θ)

Compare both sides

55 = 90 - θ

θ = 90 - 55

θ = 35°

For B)

Sin(θ) = Cos (28)

angle θ would be  Arc sin (cos (28))

Thus,

θ =  62°

For C)

Cos(y) = sin (θ)

Angle θ = arc sin ( cos (y) )

Thus,

θ = 90 - y


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The inequality that can be used to represent the problem is given as follows:

4.5 + a ≤ 20.

Clint's total spending is divided as follows:

Then the equation that represents Clint's total cost is given as follows:

T(a) = 4.50 + a.

The maximum amount that he can spend is given as follows:

$20.

Hence the inequality that can be used to represent the problem is given as follows:

T(a) ≤ 20.

4.5 + a ≤ 20.

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Answer:

neither

Step-by-step explanation:

3x - y = 2    put this is slope-intercept form

-y = -3x + 2

y = 3x - 2    compare this to the other equation y = 1/3x - 11

slope of the 1st one:  m = 3

slope of the 2nd one: m = 1/3

if the lines were parallel, the slopes would be the same

if the lines were perpendicular, one slope would be the negative reciprocal of the other

Answer:

3 + √2 best believe it haha

Answer:

wheres the pic to see rotation

Step-by-step explanation:

The number of sequences of length 10 that can be formed from the digits 1, 2, and 3 without repetition is 59,049.

The number of sequences of length 10 that can be formed from the digits 1, 2, and 3 without repetition is 3^10, or 59,049.

This is because for each of the 10 positions in the sequence, you have 3 choices: 1, 2, or 3, and since repetition is not allowed, the choices for each position are mutually exclusive.

Two occurrences are mutually exclusive or disjoint in logic and probability theory if they cannot occur at the same time. The set of outcomes of a single coin toss, which can result in either heads or tails but not both, is a good example.

Mutually exclusive is a statistical word that describes two or more occurrences that cannot occur at the same time. It is typically used to describe a circumstance in which the occurrence of one result takes precedence over the occurrence of the other. War and peace, for example, cannot exist together.

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The equation to find the cost of each pair of shorts is 175 = 75 + 5x where each short cost $20

Cost of jackets= $75

Number of shorts= 5

Cost of each short = x

Total amount Jim spent= $175

Total amount Jim spent = Cost of jackets + (Number of shorts × Cost of each short)

175 = 75 + 5x

subtract 75 from both sides

175 - 75 = 5x

100 = 5x

divide both sides by 5

x = 100/5

x = $20

Ultimately, each pair of shorts cost $20

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Average temperature of sample of 100 refrigerator is  37.37 degrees. yes the refrigerators within the 90% confidence interval.

Yes, the temperature is within the confidence. A company making refrigerators strives for the internal temperature to have a mean of 37.5 degrees with a population standard deviation of 0.6 degrees, based on samples of 100.

The average temperature of the air that is indicated by a thermometer that is properly exposed during a given time period, usually a day, a month, or a year.

The confident choice is the criteria that you choose or the range that you choose that your answer might fall in this area according to your estimation as the chances of getting fail become lesser and lesser as your confidence about for choice increases.

There is a 5% chance if being wrong among the 95% confident choice . And also there is a 10% chance of being wrong with a 90% confident choice  .But 99% confident choice will be wider as there will be minimum chance of being wrong.

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The average number of pairs of jeans owned by students in the sample can be calculated by taking the sum of the jeans owned by all students in the sample and dividing it by the number of students in the sample.

The sampling method used in this data collection is cluster sampling. Cluster sampling is a probability sampling technique that divides the population into separate groups or clusters and randomly selects a number of those clusters to be included in the sample. In this case, the population would be the students in the algebra class, and the clusters would be the individual students. Using a simple random sampling technique, the interviewer would select a certain number of students from the class and ask them how many pairs of jeans they own. The average number of pairs of jeans owned by the students in the sample would then be calculated by adding together the number of jeans owned by all of the students in the sample, and then dividing by the number of students in the sample.

Average number of pairs of jeans owned by students in sample = (Sum of jeans owned by all students in sample) / (Number of students in sample)

The average number of pairs of jeans owned by students in the sample can be calculated by taking the sum of the jeans owned by all students in the sample and dividing it by the number of students in the sample.

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Step-by-step explanation:

a.) So he has 13 coins and those coins are nickels and quarters. If we let n be nickels and q be quarters

n + q = 13 because the total number of quarters plus nickels is 13

The coins have a total value of $2.05

Nickels are 0.05 cents and quarters are 0.25 cents, which means

0.05n + 0.25q = $2.05

Making your system of equations

[tex]n + q = 13 \\ 0.05n + 0.25q = 2.05[/tex]

Answer:

a.) So he has 13 coins and those coins are nickels and quarters. If we let n be nickels and q be quarters

Step-by-step explanation:

Let A1,A2,A3,A4 be the 4 A.M.s between 4 and 19.

Then,

4,A1, A2,A3, A4,19 are in A.P. of 6 terms.

An=a+(n−1)d

a6=19=4+(6−1)d

Or d = 3 ...... (i)

Now,

A1=a+d=+3=7

A2=A1+d=7+3=10

A3=A2+d=10+3=13

A4=A3+d=13+3=16

The 4 A.M.s between 4 and 19 are 7, 10, 13, 16.

Arithmetic is a fundamental branch of mathematics that studies the characteristics of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction. The term "arithmetic" derives from the Greek arithmtik (tekhn), which means "(art) of counting," and from the Greek arithmos, which means "number.".

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Answer:

75% decrease

Step-by-step explanation:

88 - 66 = 22

66 is 75% of 88

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{Percentage\ change \ formula\ is: \bf \dfrac{(v_2 - v_1)}{|v_2|}\times 100 = \boxed{\mathsf{\bf percentage \ change}}}[/tex]

[tex]\textsf{Your equation:} \mathbf{\dfrac{(22 - 88)}{|88|}\times 100}[/tex]

[tex]\mathbf{\dfrac{(22 - 88)}{|88|}\times 100}[/tex]

[tex]\mathsf{= \mathbf{\dfrac{(22 - 88)}{|88|}\times \dfrac{100}{1}}}[/tex]

[tex]\mathbf{= \dfrac{-66}{88}\times\dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-66\div 11}{88\div11}\times\dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-6}{8}\times \dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-6\div2}{8\div2}\times \dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-3}{4} \times \dfrac{100}{1}}[/tex]

[tex]\mathbf{= \dfrac{-3\times100}{4\times1}}[/tex]

[tex]\mathbf{= \dfrac{-300}{4}}[/tex]

[tex]\mathbf{= -300\div4}[/tex]

[tex]\mathbf{= -75}[/tex]

[tex]\mathbf{\rightarrow -75\%\ will\ be\ your\ change}[/tex]

[tex]\mathbf{\rightarrow 75\%\ will \ be\ your\ percentage\ change\ that\ decreased}[/tex]

[tex]\huge\text{Therefore your answer should probably be:}[/tex]

[tex]\huge\boxed{\mathsf{75\% \ decrease}}\huge\checkmark[/tex]

[tex]\huge\text{So, your I guess the answer with the choices}\\\\\huge\text{you have provided we will be: }\\\\\huge\boxed{\textsf {77.3\% (Option C.)}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The probability of eating both poisoned apples if you randomly eat 3 out of the five apples without replacement is 1/10 or 0.1.

To calculate this probability, we use the formula for combinations of n objects taken r at a time, (nCr) which is equal to n!/r!(n-r)!. In this example, n = 5 and r = 3, so the formula reduces to 5!/3!(5-3)! = (5*4*3)/(3*2*1) = 10. This means that there are 10 different combinations of 3 apples, out of the five, that can be chosen. Since only two of the apples are poisoned, the probability of eating both of the poisoned apples is 2/10 or 0.1.

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Total 7 cups are being holded by the water bottle.

What is a fraction ?

In Maths, a fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.

Given :

water bottle : 56 ounces of water

1 cup = 8 fluid ounces

Cups that holds 56 ounces of water = 56/8 [Since, 1 cup = 8 fluid ounces]

Cups that holds 56 ounces of water = 7

Cups that holds 56 ounces of water = cups that water bottle can hold

Thus , cups that water bottle can hold  = 7

Hence , Total 7 cups are being holded by the water bottle.

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Answer:

9

Step-by-step explanation:

Think about u coming 3 + 3 then subtract it to 10 then u will get 1 more then yea u get 9

Answer:

So, the solution is x = -3 and y = 4. This means that the two lines intersect at the point (-3, 4)

Step-by-step explanation:

The given equations represent two lines in a two-dimensional plane. To find the solution for the values of x and y that satisfy both equations, we can use the method of substitution or elimination.

Using substitution, we can solve for x or y in one of the equations and substitute the result into the other equation. Let's solve for y in the second equation:

x + y = 1

y = -x + 1

Now, substitute this expression for y into the first equation:

-x + (-x + 1) = 7

-2x + 1 = 7

-2x = 6

x = -3

Finally, we can use the expression for y that we derived earlier to find y:

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

Answer:

D

Step-by-step explanation:

Answer:

Yes. Both ratios can be reduced down to 1/2.

Step-by-step explanation:

Hope it helps!

For two numbers to be proportional, they need to be directly increasing or decreasing in a constant ratio.

To simplify these ratios, we can use division.

So, 7: 14 simplified is 1: 2.

So, 4: 8 simplified is 1: 2.

If these ratios are both simplified to equal 1 :2, they are proportional.

There are 2 gravel is in one dump tuck.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

4 dump trucks carry 8 tons of gravel evenly between them.

Hence, Number of gravel in one dump truck = 8 / 4

                                                                      = 2

Thus, There are 2 gravel is in one dump tuck.

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hello hello I am working for a company in North London with this machine and have 5.30am with this machine and it has been a few months now since yesterday and I have not received the refund so can I get in touch as I have not been able for any further action on this machine and I have not received the refund or refund the money back

The linear equation is y = 20 + 2x and the complete table of values is

Kites purchased     Total cost

0                                      20

1                                      22

4                                      28

7                                     34

10                                   40

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

Cost of kite = $20 for shopping and $2 per kite

When this is represented as an equation, we have

y = 20 + 2x

Where x = the number of kites purchased

Using the above as a guide, we have the following:

When x = 4

y = 20 + 2 * 4 = 28

When x = 7

y = 20 + 2 * 7 = 34

When x = 10

y = 20 + 2 * 10 = 40

So, the missing entries are $28, $34 and $40

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The rational function graph is of the function f(x)=1/(x-6) since it does not touch the point (6,0).

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. "A function is a rule that assigns one output to each input. They arise when each x-value corresponds to exactly one y-value." You've undoubtedly also heard of the vertical line test.

Here,

The graph of rational function is of function f(x)=1/(x-6) as it does not touch the point (6,0).

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The ordered pair that represents the solution to the system of equations is given as follows:

(-3,-0.5).

The equations of the system are given as follows:

The x-coordinate of the ordered pair representing the solution to the system of equations is given as follows:

0.5x + 1 = 1.5x + 4

-x = 3

x = -3.

The y-coordinate of the ordered pair representing the solution to the system of equations is given as follows:

y = 0.5(-3) + 1

y = -1.5 + 1

y = -0.5.

Meaning that the correct option is given by the first option.

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Answer:

6x^2 - 11x - 12

Step-by-step explanation:

(-6x-2)+(6x^2-5x-10)

6x^2 - 11x - 12

The youngest child is Jade.

The expression that represents Jane's age is 2n.

The oldest child is Jem.

Jade is 12 years old

The equation that represents the sum of ages is 5n - 5 = 55.

Jade's age = n

Jane's age = 2 x n = 2n

Jem's age = 2n - 5

Sum of the ages:

n + 2n + 2n - 5 = 55

5n - 5 = 55

Jade's age can be determined using the above equation:

5n = 55 + 5

5n = 60

n = 60 / 5

n = 12

To determine Jane and Jem's age, substitute for n in the equation that represents their ages.

Jane's age = 2 x 12 = 24

Jem's age = 2(12) - 5

= 24 - 5

= 19

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The equations are simplified to:

1. x = 1/3

2. 8. 44

3. 0.35

4. 0.27

5. P = 7/8

From the information given,, we have that;

1.  1/3x = 1

to simply this, cross multiply

3x = 1

Make 'x' the subject

x = 1/3

2. 2.11/0.25

Divide the values

8. 44

3.  0.7/2.1

To evaluate this, divide the numerator by the denominator

0.35

4. 0.21 x 1.29

To simply, multiply the values

0.27

5.  P - 3/4 = 1/8

collect like terms

P= 1/8 + 3/4

Find the LCM

P = 1 + 6  /8

P = 7/8

Hence, the values are simplified by multiplication, addition and division

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Answer:

(1, - 1.5 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then

midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (4, 0 ) and (x₂, y₂ ) = (- 2, - 3 ) , then

midpoint = ( [tex]\frac{4-2}{2}[/tex] , [tex]\frac{0-3}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex] , [tex]\frac{-3}{2}[/tex] ) = (1, - 1.5 )

(1, -1.5).

Step-by-step explanation:

The midpoint of a segment with endpoints (x1, y1) and (x2, y2) is given by the following formula:

((x1 + x2)/2, (y1 + y2)/2)

So, for the given endpoints (4,0) and (-2,-3), the midpoint is:

((4 + (-2))/2, (0 + (-3))/2) = (1, -1.5)

The midpoint of the segment is (1, -1.5).

Answer:

d)

Step-by-step explanation:

50-18=324

32÷50=0,64

350×0,64=224

If the dimension of brick is  1×1×6 and that of box is 8×8×8 , then yes , it is  possible to pack 85 bricks in the box .

We first calculate the Volume of the box and Volume of the brick ;

The volume of one brick is calculated as 1×1×6 = 6 cubic inches,

so 85 bricks would have a total volume of = 6×85 = 510 cubic inches.

The Volume of the box is 8×8×8 = 512 cubic inches,

we get that the volume of the box is greater than volume of cube , then it is possible to fit 85 bricks of volume 510 cubic inches into a box of volume 512 cubic inches.

Therefore, it is possible to pack 85 bricks of dimension 1×1×6 into a box of dimension 8×8×8 .

The given question is incomplete , the complete question is

Can you pack 85 bricks of dimension 1×1×6 into a box of dimension 8×8×8 ? Explain how you got your answer.

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The correct answer is the signs for r and b are the same (+ or ). The slope b and the correlation r don't necessarily have the same values, but they always share the same sign.

The idea employed in the issue is

1.Correlation

2.Regression

Correlation: Correlation analysis is used to gauge how strongly two variables are related. The symbol for the correlation coefficient is r.

Shape: Whether the data points follow a linear pattern or some other complex curves is indicated by the association's form. If it seems that a line would adequately summarise the overall trend in the data, then do so. The relationship between the two variables is then linear.

The appropriate statement can be found below:

The determination of the standard deviation between the two variables influences how a least-squares linear regression function slopes, and in a similar way, how the sample correlation coefficients are interpreted.

By examining the sign of the regression slope and the correlation coefficient, which depend on the standard deviation between the two variables, the proper conclusion can be drawn.

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