A picosecond is one trillionth of a second. If one trillionth = 1 × 10 − 12, how many picoseconds are there in 6 minutes?

The rectangular equation for the plane curve defined by the parametric equation x = t + 4, y = t² is; y = x² - 8x + 16

We are given the parametric equations as;

x = t + 4

y = t²

Now, for us to convert parametric equations to a rectangular equation (cartesian equation) means that we are solving for t in terms of x and then plugging it back into the y equation.  Therefore, we have;

x = t + 4

t = x - 4

Thus;

y = (x - 4)²

Expanding this gives;

y = x² -4x - 4x + 16

y = x² - 8x + 16

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Answer:

12*(1/4+1/3)(1/4+1/3)+2/3= 12*(1/16+1/12+1/12+1/9)+2/3=12*(9/144+12/144+12/144+16/144)+2/3= 12*(49/144)+2/3=12*49/144+2/3= 49/12+2/3=49/12+8/12=57/12= 4*9/12=4* 3/4

Step-by-step explanation:

The statement that can represent P = Q is If x = 5, then 2x = 10. That is option B.

An equivalent value is defined as the value or an equation that can be used to replace another value in an expression.

From the question, the expression P--> Q means that P = Q.

The statement that shows that a value is equivalent to the other;

x = 5, then 2x = 10

That is, X = 5 can also be written as follows;

2x = 10.

This is because, when 2x = 10 is simplified, X = 10/2 =5

Therefore, P =Q because both shears the same value and can be said to be equivalents.

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By using a trigonometric relation we will see that FD = 32, the correct option is C.

We can see a right triangle, such that FD is the hypotenuse.

We also know one angle of this triangle, and the adjacent cathetus to that angle.

Now remember the relation:

cos(a) = (adjacent cathetus)/(hypotenuse)

Replacing the values we know we get:

cos(30°) = 28/hypotenuse

Solving the equation for the hypotenuse we get:

hypotenuse = 28/cos(30°) = 32.3

Rounding to the next whole number we get FD = 32

The correct option is C.

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Jarrod needs to walk 1 mile to reach the swimming pool

Given that: He lives 2 3/4 miles from the swimming pool

He walked 7/8 mile to the library

Then he walked 7/8 mile to the museum

The concept we need here is the addition or subtraction of fractions

To determine the miles left, we need to subtract the miles he walked from the miles 2 3/4 miles (since that is the distance from where he lives to the swimming pool)

Thus:

Miles left = 2 3/4 - 7/8 - 7/8

              = 11/4 - 7/8 -7/8              (Note:   2 3/4 = 11/4)

              =  8/8 = 1

Therefore,  he needs to walk 1 mile to reach the swimming pool

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The function y = 4 is a straight line and not an exponential function.

Given, a function y = 4

now, we have to test the function is exponential or not

As, the function is a straight line graph i.e. y = 4.

Now, the function y = 4 is a straight line graph which is parallel to the x-axis.

So, the function y = 4 is not an exponential function

Hence, the function y = 4 is a straight line and not an exponential function.

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The answer to the inequality is  -55 < 49. That is -55 is less than 49.

What is inequality?

This refers to the relationship between two values that are not equal. It can be represented with the following symbols; < less than,> greater than, ≥ greater than or equal to,≤ less than or equal to, and  ≠ not equal to.

The given equation States that;

5(11 − ) < + 49

5*11- < +  49

-55  < +49

Therefore, -55 is less than 49.

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The result of the fractional operation in this problem is given as follows:

-21/5 = -4.20.

A fraction is represented by the division of a term x by a term y, as follows:

Fraction = x/y.

The terms that represent x and y are given as follows:

The numerator in this fraction is given as follows:

5 - (8 - 6) + 3 x 4 + 6.

The parenthesis and the multiplication have precedence, hence:

5 - (8 - 6) + 3 x 4 + 6 = 5 - 2 + 12 + 6 = 21.

The denominator in this fraction is given as follows:

5(4 - 5) = 5(-1) = -5.

The result is the division of the numerator by the denominator, hence:

21/(-5) = -21/5 = -4.20.

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Answer:

25

Step-by-step explanation:

Let the age of Thomas be x.

Huilan is 11 years older than Thomas,

Huilan = x + 11

The sum of their ages is 61.

x + x + 11 = 61

2x + 11 = 61

2x = 61 - 11

2x = 50

x = 50/2

x = 25

Hence,

Thomas's age is 25.

Answer:

Yes

Step-by-step explanation:

It depends on the questions before hand but this seems to answer the previous two questions.

Answer:

Step-by-step explanation:

1) sixty-seventh and nine hundred and twenty-five thousands

2)one-eighty two and fifty-one thousands

3)thirty-nine and thousand four thirty two thousands

4) eighty five and two sixty seven thousands

5) ninety seven and seven thousand and three-fifty two thousands

The value of  x is 26.125°

The measures of each angle are as shown below:

∠P  = 115.625°

∠Q =21.125°

∠R=43.25°

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

In ∆PQR

∠P is 14 less than five times x = 5x-15

∠Q is five less than x=x-5

∠R is nine less than twice x=2x-9

Angle sum property of triangle : The sum of all angles of triangle is 180°

So,5x-15+x-5+2x-9=180

8x-29=180

8x=180+29

x=( 180+29 )/8

x=26.125

So,∠P  = 5x-15 =5(26.125)-15=115.625°

  ∠Q =x-5=26.125-5=21.125°

 ∠R=2x-9=2(26.125)-9=43.25°

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At an 85% confidence interval, the mean per capita income in thousands of dollars for the major city in Texas is $20.5 ± 0.459.

The confidence interval estimates the mean estimate by adding or subtracting the margin of error.

In random sampling, the margin of error represents the difference between the actual and projected results.

Mean income = $20.5

Sample size, n = 1,190

Standard deviation = $11

Confidence interval = 85%

Z-score for 85% confidence interval = 1.440

The margin of error = z-score x standard deviation/√n

= 1.440 x 11/√1,190

= 1.440 x 11/34.50

= 1.440 x 0.3188

= 0.459

= $459 (0.459 x $1,000)

Lower Limit = Mean - Margin of Error

= $20,500 - $459

= $20,041

= $20.041

Upper Limit = Mean + Margin of Error

= $20,500 + $459

= $20,959

= $20.959

Thus, for the Texas city, the mean per capita income is $20.5 ± 0.459.

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Regarding the given matrix, it is found that:

1. a. The matrix has three rows.

1. b. The matrix has five columns.

1. c. The matrix has two dimensions.

2. The entry is 2.

3. The entry is 7.

4. The entry is -2.

5. The entry is 0.

6. The entries are: m21 and m33.

The matrix is composed by three lines of elements, and each line has five elements, hence:

The number of dimensions of the matrix are:

2, which are the rows and the columns.

The entries are symbolized as follows:

mrc.

In which:

Hence the entry m11, for example, is the element at the first row and at the first column, which is of 2.

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Answer: The answer is D ( 2/5 < 1/2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

√83-√35 = 3.1943537960446828393782978131270521416836379374706155296172187959...

Step-by-step explanation:

we need to remember the squared numbers of the baud integers :

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

so, what squared integers are closest to 83 and 35 ?

well, 81 (9²) and 36 (6²).

so, the result has to be closest to 9 - 6 = 3.

83 is larger than 81 than 35 is smaller than 36. so, 3 is less than sqrt(83) - sqrt(35).

therefore, the correct answer is indeed 3.

The number of items that are missing from the order if She ordered 27 products from one company, but unfortunately, some items were back-ordered, so she received only 19 items is 8.

The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.

Given:

The number of the ordered products, O = 27,

The number of the received order, R = 19,

If m stands for the number of missing items, then,

m = O - R,

m = 27 - 19

m = 8

Therefore, the number of items that are missing from the order if She ordered 27 products from one company, but unfortunately, some items were back-ordered, so she received only 19 items is 8.

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Answer:

  no change

Step-by-step explanation:

Given a temperature rise of 3.85 °F over 4 hours after noon, when the temperature is 85.4 °F, you want to know the change between 4 pm and 5 pm if the temperature at 5 pm is 89.25 °F.

The temperature at 4 pm is the sum of the noon temperature and the change in the 4 hours after noon:

  85.4 °F + 3.85 °F = 89.25 °F

The change from 4 pm to 5 pm is the difference between the 5 pm temperature and the 4 pm temperature:

  82.25 °F -89.25 °F = 0 °F

There is no change in the temperature between 4 pm and 5 pm.

Answer:

please write it more clearly or take a pic

The measure of the angle in line y = 3x/2 is 56.31 degrees

Comparing the given equation y = 3x/2 with equation of a line in the slope intercept form  form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

This shows the y = 3x/2 is a line with c = 0 and slope as 3/2

calculation of slope

m = (y₂ - y₁) / (x₂ - x₁)

the formula is similar to definition of tan, assuming the angle is x

tan x = 3/2 (positive x and y axis)

x = arc tan 3/2

x = 56.3099

x = 56.31 degrees (to the nearest tenth of a degree)

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The linear equation that passes through the point (2,-9) and has a slope of -5 in slope-intercept form is y = -5x = 1

Linear equation can be represented in different form such as slope intercept form, point slope form, general form and standard form.

Hence, the linear equation in slope intercept form is as follows;

y = mx + b

where

Therefore, the line passes through (2,-9) and has a slope of -5 .

Hence,

y = -5x + b

let's find the y-intercept using (2, -9)

-9 = -5(2) + b

-9 = -10 + b

b = -9 + 10

b = 1

Therefore, the linear equation is  y = -5x + 1

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Answer:

[tex]-9,-18,-27,-36[/tex]

Step-by-step explanation:

If the first term of a sequence is [tex]-9[/tex] and the common difference is [tex]-9[/tex], then each successive term in the sequence is [tex]9[/tex] less than the previous term:

[tex]a_n=-9n[/tex]

Therefore, the first term is [tex]-9[/tex], followed by [tex]-18[/tex], [tex]-27[/tex], and [tex]-36[/tex].

Answer:

  -8, -5

Step-by-step explanation:

You want the second column of matrix B given matrices A and AB.

Matrix B can be found by left-multiplying AB by A^-1, as shown in the attachment.

The second column of matrix B is ...

  [tex]\left[\begin{array}{c}-8\\-5\end{array}\right][/tex]

The expression used to find the width using division is:

W = A/L

We know that for a rectangle of width W and length L, we know that the area is given by the product between these two dimensions, then:

A = L*W

We want a expression using division that can be used to find the width, so, suppose we know the values of the area and the length, the we can divide both sides by L to get:

A/L = W

This expression gives the width.

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Answer:

Step-by-step explanation:

this is very complicated and i suggest you to go to einstin

An ordered pair which is a solution to the given system of linear equations is: (1, 4).

In order to determine which ordered pairs are valid and true solutions based on the given system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;

For ordered pair (0, -4), we have:

-3x + 2y = 5

-3(0) + 2(-4) = 5

0 - 8 = 5

-8 = 5 (No)

For ordered pair (-3, 5), we have:

-3x + 2y = 5

-3(-3) + 2(5) = 5

9 + 10 = 5

19 = 5 (No)

For ordered pair (1, 4), we have:

-3x + 2y = 5

-3(1) + 2(4) = 5

-3 + 8 = 5

5 = 5 (Yes)

For ordered pair (1, 4), we have:

y = 8x - 4

4 = 8(1) - 4

4 = 4 (Yes).

For ordered pair (-7, -8), we have:

-3x + 2y = 5

-3(-7) + 2(-8) = 5

21 - 16 = 5

5 = 5 (Yes)

For ordered pair (-7, -8), we have:

y = 8x - 4

-8 = 8(-7) - 4

-8 = -58 (No).

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Part 1

[tex]\frac{x}{3.2}=\frac{4}{2} \implies x=6.4 \\ \\ \frac{y}{2.4}=\frac{2}{4} \implies y=1.2[/tex]

Part 2

[tex]\frac{x}{3.6}=\frac{10.8}{5.4} \implies x=7.2 \\ \\ \frac{y}{5.4}=\frac{15.2}{10.8} \implies y=7.6[/tex]

The daily amount in grams of the recommended carbohydrates is 2587.15 grams

The amount of daily recommended carbohydrate is solved by dividing the quantity of carbohydrate in the protein bar by the percentage contained in the bar

The problem deals with percentage and 7% is written as

7%

= 7 percent

= 7 / 100

= 0.07

The factor 0.07 of the daily recommended amount of carbohydrates gives 20 grams of carbohydrate

let the daily recommended amount of carbohydrates be x

0.07 * x = 200

0.07x = 200

x = 200 / 0.07

x = 2587.15 grams

The daily recommended amount of carbohydrates is 2587.15 gram

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