What is the measure of an angle of it is 160 less than 4 times it’s complement

ANSWER

y = 3.5x + 56

EXPLANATION

The slope of a line passing through points (x1, y1) and (x2, y2) is,

And the slope-intercept form of the equation of a line is,

Where m is the slope and b is the y-intercept.

In this problem, we have to use points (5, 73) and (7, 80) to find the equation of the line. First, we can find the slope,

For now, the equation is,

We have to find the y-intercept, by replacing x and y for the coordinates of one of the given points,

And solve for b,

The equation is,

The slope as a decimal is 3.5 and the y-intercept, rounded to the nearest whole number is 56, so the equation is y = 3.5x + 56

The Height and volume of the pyramid is ,

i) Height = 15.35cm

ii) Volume= 690.75 \(cm^3\).

What is pyramid ?

 A three-dimensional shape is a pyramid. Flat triangular sides that are joined at a common point known as the apex define the polygonal base of a pyramid. By fusing the bases together at the peak, a pyramid is created. The lateral face, a triangular feature formed by the connection of each base edge to the apex, is present.

Here slant height l = 16cm and sides of the rectangular base is ,

length l = 15cm and width w = 9 cm.

Side length = 9/2 = 4.5cm

Using Pythagorean theorem ,

=> Height h =  \(\sqrt{16^2-4.5^2}\)

=> height h = 15.35 cm

Now volume of pyramid is ,

=> V = 1/3 * Base area * height cubic unit

=> V = 1/3 *15*9*15.35

=> V = 690.75 \(cm^3\)

Hence the Height and volume of the pyramid is ,

i) Height = 15.35cm

ii) Volume= 690.75 \(cm^3\).

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Answer:

Fourth option

Step-by-step explanation:

The answer is the fourth option "difference of squares method." It's not the first option because the substitution method is when you pick one of the equation in a system of equations, solve it for a variable and then plug the variable into the other equation to help solve. It's not the second option because the graphing method is used to solve a system of equations by graphing the equations on the same coordinate plane, it's not the third option because the addition method is also known as the elimination method which is the third method to solving a system of equations. Therefore your answer is the fourth option.

Hope this helps.

Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

30 x 20 is

......... 600.

Answer:

600

Step-by-step explanation:

duh

Answer:

\(x=12+8\sqrt2\\\\x=12-8\sqrt 2\)

Step by step explanation:

\(\text{Given that,}\\\\~~~~~~~(x-1)^2 = 8\\ \\\implies x-1 =\pm\sqrt 8\\\\\implies x = \pm\sqrt 8 +1\\\\\text{Now,}\\\\~~~~(x+1)^2\\\\=\left(\pm\sqrt 8 +1 +1 \right)^2\\\\=(\pm\sqrt 8 +2)^2\\\\=\left(\pm \sqrt8 \right)^2 + 2 \left(\pm\sqrt 8 \right) \cdot 2 + 2^2\\\\=8+4+4\left(\pm\sqrt 8 \right)\\\\=12+4\left(\pm \sqrt 8\right)\\\\=12\pm 8\sqrt 2\)

Answer:

-25/9

Step-by-step explanation:

1 + (-2/3) - m

Plug in:

1 + (-2/3) - 9/2

1 + 2/3 - 9/2

1/3 - 9/2

-25/9

Hope this helped.

Answer:

4 5/6

Step-by-step explanation:

1+-2/3--m

Subtracting a negative is like adding

1-2/3 +m

1/3+m

m = 9/2

1/3 +9/2

Get a common denominator of 6

1/3 *2/2 +9/2*3/3

2/6 + 27/6

29/6

Changing to a mixed number

4 5/6

The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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Answer:

what's the number? .. . mmxmxmx

Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

Answer:

Step-by-step explanation:

MO = MN + NO

      = 16 + 2

     = 18

4.2

hope it help u

plzfollow me

The number of students in each bus is 21

Given data

Total number of students on the trip = 172

25 students traveled in cars

7 buses were filled

let the number students on each bus be x

number of students on the bus is gotten by

172 - 25 = 147

so 147 students travelled by bus and the total number of buses is 7.

to get the number of students in each bus we solve as follows

147 / 7 = 21

Hence each bus contains 21 students.

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Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?

The fraction left to pay for the birthday party is 17/30.

The calculation is as follows:

1 * 1/4 = 1/4 … (1)

1/4 * 2/3 = 2/12 … (2)

2/12 * 1/10 = 2/120 … (3)

Fraction left to pay:

= 1 - (1/4 + 2/12 + 2/120)

= 1 - (30/120 + 20/120 + 2/120)

= 1 - (52/120)

= 1 - 13/30

= 30/30 - 13/30

= 17/30

Thus, the fraction left to pay for the birthday party is 17/30.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

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Answer:

\(measure \: \)

3/50

Step-by-step explanation:

\( \sqrt{3 \: is \: a \: formula \: tht \: has \: equation} \)

92-3 ) DEFIND THE "3"

ANSWER: 3/50

So, the coefficient of the x^(2) term in the expression 5x-4x^(2)+2 is -4.

The coefficient of the x^(2) term in the expression 5x-4x^(2)+2 is -4.

A coefficient is the number that is multiplied by a variable in an expression. In this case, the x^(2) term is -4x^(2), so the coefficient is -4.

To find the coefficient of a specific term in an expression, you can simply look at the number that is directly in front of the variable and its exponent. For example, in the term 5x, the coefficient is 5, and in the term 2, the coefficient is 2 (since there is no variable, the coefficient is simply the number itself).

In the expression 5x-4x^(2)+2, the x^(2) term is -4x^(2), so the coefficient is -4. This means that the x^(2) term is being multiplied by -4 in the expression.

So, the coefficient of the x^(2) term in the expression 5x-4x^(2)+2 is -4.

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After 15 years, the amount (future value) that Ajay has in his account than Rashon, to the nearest dollar, is $391.

The future values of both investments can be determined using an online finance calculator, using their different formulas for continuous compounding and annual compounding.

Using the formula for future value = Pe^rt

Principal (P): $98,000.00

Annual Rate (R): 2%

Time (t in years): 15 years

Compound (n): Compounding Continuously

Ajay's future value = $132,286.16

A = P + I where

P (principal) = $98,000.00

I (interest) = $34,286.16

Using the formula for future value = P(1 + r/n)^nt

Principal (P): $98,000.00

Annual Rate (R): 2%

Compound (n): Compounding Annually

Time (t in years): 15 years

Rashon's future value = $131,895.10

A = P + I where

P (principal) = $98,000.00

I (interest) = $33,895.10

Ajay's future value = $132,286.16

Rashon's future value = $131,895.10

Difference = $391.06 ($132,286.16 - $131,895.10)

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The floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be A. 2.3e^7.

It should be noted that scientific notation simply means. way that's used to express numbers that are either too large or too small to be written in decimal form.

Therefore, it should be noted that the floating-point literal that correctly represents the scientific notation value: 2.3 x 10^7 will be:

= 2.3 × 20^7

= 2.3 × e^7

= 2.3e7

The correct option is A.

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Which floating-point literal correctly represents the scientific notation value: 2.3 x 10^7?

a. 2.3e^7

b. 2.3 × 10e^7

c. 2.3e × 10^7

d. 2.3 × e^7

Answer:

The slope is 9.

Step-by-step explanation:

This equation is written in slope intercept form, \(y=mx+b\) where m is the slope and b is the y intercept. Based on this equation, the slope is \(\frac{9}{1}\) which is simplified to 9.

For a given sample proportion of 0.5, the sample size that will produce the widest confidence interval is the largest option given, which in this case is 80.

The sample size that will produce the widest 95% confidence interval, given a sample proportion of 0.5, is option b, 80. This is because the width of the confidence interval is directly proportional to the sample size, meaning that as the sample size increases, the confidence interval becomes narrower.

Additionally, the width of the confidence interval is inversely proportional to the square root of the sample size. Therefore, for a given sample proportion of 0.5, the sample size that will produce the widest confidence interval is the largest option given, which in this case is 80.

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The exact value of the series ∑n=0infinitynπ^2n/(16^2n * (2n+1)!) is approximately -0.190985.

To find the exact value of the series, we need to evaluate each term and sum them up. Starting with the given expression, we have (-1)^n * π^(2n) / (16^(2n) * (2n+1)!). Breaking down each term, we have (-1)^n, π^(2n), 16^(2n), and (2n+1)!.

The term (-1)^n represents alternating signs, where it alternates between positive and negative for each value of n. The term π^(2n) represents π raised to the power of 2n. The term 16^(2n) represents 16 raised to the power of 2n. The term (2n+1)! represents the factorial of 2n+1.

By substituting the values of each term into the given expression and summing them up from n = 0 to infinity, we can approximate the value to be approximately -0.190985.

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Answer:

I think you would be in lots of pain and probably lose the ability to make saliva.

Step-by-step explanation:

Answer:

1) (3,5) is the new point

2) P(-1,-4) U(-5,0) N (-2,1)

Step-by-step explanation:

hope this helps. good luck

12. MATLAB code: `f = (-3*t.^2 + 5*t + 20).*(t < 0) + (3*t.^2 + 5*t).*(t >= 0)`

13. MATLAB function: `function random_values = UniGen(n, a, b); random_values = (b - a) * rand(n, 1) + a; end`

MATLAB code to calculate f(t) using the given equation:

t = -9:0.5:9; % Generate values of t from -9 to 9 in steps of 0.5

f = zeros(size(t)); % Initialize f(t) vector

for i = 1:numel(t)

   if t(i) < 0

       f(i) = -3*t(i)^2 + 5*t(i) + 20;

   else

       f(i) = 3*t(i)^2 + 5*t(i);

   end

end

% Display the results

disp('t    f(t)');

disp('--------');

disp([t' f']);

```

This code generates values of `t` from -9 to 9 in steps of 0.5 and calculates `f(t)` based on the given equation. The results are displayed in a tabular format showing the corresponding values of `t` and `f(t)`.

13. MATLAB function UniGen to generate uniformly distributed random values:

function random_values = UniGen(n, a, b)

   % n: Number of random values to generate

   % a: Start of the interval

   % b: End of the interval

   random_values = (b - a) * rand(n, 1) + a;

end

This MATLAB function named `UniGen` generates `n` random values that are uniformly distributed on the interval `[a, b]`. It utilizes the `rand` function to generate random values between 0 and 1, which are then scaled and shifted to fit within the specified interval `[a, b]`. The generated random values are returned as a column vector.

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Answer:

its c

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

The expected length of a staff meeting is approximately 12.5 minutes.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To calculate the expected length of a staff meeting, we need to find the mean of the probability density function given.

The formula for finding the expected value or mean of a continuous random variable with probability density function f(x) is:

E(X) = ∫ x f(x) dx over the range of the variable

Using this formula, we can find the expected length of a staff meeting as follows:

E(X) = ∫ x f(x) dx over the range of the variable

  = ∫ 0 to 1 x \(5(x-0.5)^{5}\) dx  (since the length of a meeting can't be negative)

  = 5 ∫ 0 to 1 x\((x-0.5)^{5}\) dx

Now we can use integration by parts or substitution to solve the integral. For simplicity, we can use substitution, with u = x - 0.5 and du = dx:

E(X) = 5 ∫ -0.5 to 0.5\(5(x-0.5)(u)^{5}\) du

= 5 ∫ -0.5 to 0.5 \((u^6 + 0.5u^5)\) du

= 5 [(1/7)\(u^7\\\) + (1/10)\(u^6\)] evaluated at -0.5 and 0.5

= 5 [(1/7)\((0.5)^7\) + (1/10)\((0.5)^6\) - (1/7)\((-0.5)^7\) - (1/10)\((-0.5)^7\)]

≈ 0.2083 hours or 12.5 minutes

Therefore, the expected length of a staff meeting is approximately 12.5 minutes.

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After performing the linear regression evaluation, the equation of the regression line is:

(i) y = 1.40x + 1.45

To locate the linear regression line for the given records, we will use a statistical software program or a calculator. By analyzing the data points, we can decide the equation of the road that satisfactorily represents the connection between the hours of the stand being open (x) and the profit (y).

After performing the linear regression evaluation, the equation of the regression line is:

y = 1.40x + 1.45

This equation shows that for each extra hour the stand is open, the profit increases by using $1.40. The y-intercept, represented with the aid of the regular term 1.45, shows that although the stand isn't always open, there may be nevertheless a base income of $1.45.

The linear regression line for the given statistics indicates a positive relationship between the hours of the stand being open and the earnings earned. As the hour's increase, the earnings have a tendency to increase as nicely.

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The correct question is:

The linear regression line for the given data is y = 1.28x + 2.93. This equation represents the relationship between the hours the stand is open (x) and the corresponding profit (y).

To find the linear regression line for the given data, we can use statistical software or a calculator. The linear regression line represents the best fit line through the data points.

First, we list the given x and y values:

x: 1, 2, 3, 4, 5, 6, 7

y: 3.58, 5.18, 6.24, 7.97, 7.09, 8.31, 11.33

Using the software, we calculate the linear regression line. The result is y = 1.28x + 2.93, rounded to two decimal places.

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QUESTION

gabriel and raj were running a lemonade stand at the local park. they decided to pay their sister to operate the stand. the following values represent the profit y after x hours of the stand being open. using a calculator or statistical software, find the linear regression line for the data. enter your answer in the form y =mx+b, with m and b both rounded to two decimal places.

X    Y

1   3.58

2   5.18

3   6.24

4    7.97

5   7.09

6    8.31

7    11.33