Calculate 20/cos 70round to 1 decimal place..

Answer:

I'm pretty sure 8

Step-by-step explanation:

Answer:

The fourth pair of triangles.

Step-by-step explanation:

Looking at the diagram for the fourth pair of triangles, we see that two pairs of sides have been marked as having the same length, and the remaining side is shared by the two triangles, hence guaranteeing that side's congruence. Therefore, the fourth pair of triangles is congruent by SSS.

The first pair of triangles are congruent by ASA, due to the middle pair of angles being congruent (vert. opp. ∠s), hence providing the condition for SAS.

The second pair of triangles should be SAS, also known as Side - Angle - Side, due to two angles and one side being marked as congruent, and those two angles surrounding the side marked as congruent.

The third pair of triangles should be SAS, due to them sharing a common side and a pair of sides marked congruent, surrounding the right angle. The reason why it is not RHS is because the pair of hypotenuses are not congruent, hence not fulfilling the condition of Right Angle - Hypotenuse (here!) - Side.

Hope this helped!

Answer:

Step-by-step explanation:

One angle marked as congruent, one angle is congruent as vertical angles, one side is marked as congruent:

Two angles and an included side are marked as congruent:

Right angle and one leg marked as congruent, another leg is shared, right angle is included:

Two sides are marked as congruent and one side is shared, so is congruent as well:

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:

volume is the amount of space that a substance or object occupies, it is measured in cubic units

Answer:

$45.30

Step-by-step explanation:

Divide $73.50 by 5 = $15.10

Multiply $15.10 by 3 = $45.30

Answer:

44.1

Step-by-step explanation:

73.50/5=14.7

14.7x3=44.1

To construct a line passing through the point C, so that is perpendicular to AB, we need two things:

• That the line is perpendicular to AB

• that the line passes through C.

We discard the options A and B because they would not be perpendicular or pass through C.

The correct option is:

C: Construction of a perpendicular bisector through C.

This is because a bisector line would ensure that the line we construct is perpendicular (90° with respect to AB) and also it wuld go through the point C. So it cover our two needs.

Note: We discard option D because the line of the square would not pass through C.

Answer:

1 1/20

Step-by-step explanation:

I'm not sure how to explain this but it's the correct answer. Plz mark brainliest.

Answer:

1 1/20

Step-by-step explanation:

The probability that exactly two of selected are 75W is 0.2967 , probability that exactly two of the selected bulbs are rated 75W is 0.2637 , probability that one bulb of each type is selected is 0.0747  .

Probability of an event E denoted by P(E) is defined as number of favorable outcomes divided by total number of outcomes.

In the given question

40W bulbs = 4

60W bulbs = 5

75W bulbs = 6

Total number of bulbs = 4+5+6=15.

Part(a)

probability that exactly two of the selected bulbs are rated 75-w

Selection of 3 bulbs from 15 bulbs can be done in C(15,3) ways.

\(=\frac{15!}{3!*12!}\)

\(=\frac{15*14*13*12!}{12!*3!} \\ \\ =\frac{15*14*13}{3*2*1}\)

=455 ways

Total number of ways = 455      ...(i)

Now,

Number of ways of selecting 2 ,75W bulbs and 1 bulb from the remaining is C(6,2)*C(9,1).    

= C(6,2)*C(9,1)

\(=\frac{6!}{2!*4!} *\frac{9!}{1!*8!} \\ \\ =\frac{6*5*4!}{2*4!} *\frac{9*8!}{8!}\)

\(=\frac{6*5}{2} *9\\ \\ =15*9\\ \\ =135\)

the probability that exactly two selected bulbs are rated 75W = 135/455 =0.2967

Part(b)

probability that one bulb of each type is selected .

Number of ways of selecting one bulb from each type = selecting 1 bulb from four 40W bulbs + 1 bulb from 60W bulbs + 1 bulb from 75W bulbs.

Number of ways of selecting one bulb from each type=C(4,1)*C(5,1)*C(6,1)

\(=C(4,1)*C(5,1)*C(6,1)\\ \\ =\frac{4!}{3!*1!} *\frac{5!}{4!*1!} *\frac{6!}{5!*1!}\)

\(=\frac{4*3!}{3!} *\frac{5*4!}{4!} *\frac{6*5!}{5!}\)   ...( as 1!=1)

\(=4*5*6\\ \\ =120\)

Number of ways of selecting one bulb from each type = 120

Total number of ways = 455     ...from equation (i)

Probability that exactly two bulbs selected are rated 75W =120/455

=0.2637

Part(c)

probability that all three of the selected bulbs have the same rating

Number of ways three bulbs of same rating are selected = (all 3 from 40W bulbs )+(all 3 are from 60W bulbs )+( all 3 are from 75 W bulbs)

\(=C(4,3)+C(5,3)+C(6,3)\)

\(=\frac{4!}{1!*3!} +\frac{5!}{2!*3!} +\frac{6!}{3!*3!} \\ \\ =\frac{4*3!}{3!} +\frac{5*4*3!}{2!*3!} +\frac{6*5*4*3!}{3*2*3!}\)...( as1!=1)

\(=4+10+20\)

\(=34\)

Number of ways three bulbs of same rating are selected = 34

Total number of ways = 455     ...from equation (i)

Probability that all three of the selected bulbs have the same rating=34/455 = 0.0747

Therefore ,(a) the probability that exactly two of selected are 75W is 0.2967 , (b) probability that exactly two of the selected bulbs are rated 75W is 0.2637 (c)  probability that one bulb of each type is selected is 0.0747  .

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Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

Answer:

5

Step-by-step explanation:

Add?

Answer:

it will be 37.8 cm tall

Answer:

Step-by-step explanation:

20% of 30 is 6

Words: 6 Students in Ms. Martin's class did not do their homework.

hope this helps :)

The value of c on the interval (5,9) such that f'(c) = f(b) - f(a) / (b - a) is c = 3, and the average rate of change of f(x) on the interval [5,9] is 139.

First, we can find the average rate of change of f(x) on the interval [a,b] using the formula:

average rate of change = [f(b) - f(a)] / (b - a)

Substituting the given values of a = 5 and b = 9 into the formula, we get:

average rate of change = [f(9) - f(5)] / (9 - 5)

Next, we need to find f(9) and f(5) to calculate the average rate of change. To do this, we first need to find the derivative of f(x) using the power rule:

f'(x) = 6x² - 6x - 12

Now, we can use the Mean Value Theorem to find a value c in the interval (5,9) such that f'(c) equals the average rate of change. According to the Mean Value Theorem, there exists a value c in the interval (5,9) such that:

f'(c) = [f(9) - f(5)] / (9 - 5)

Substituting the derivative of f(x) and the values of f(9) and f(5) into the equation, we get:

6c² - 6c - 12 = [2(9)³ - 3(9)² - 12(9) - 4 - (2(5)³ - 3(5)² - 12(5) - 4)] / (9 - 5)

Simplifying the right-hand side of the equation, we get:

6c² - 6c - 12 = (658 - 204) / 4

6c² - 6c - 12 = 114

6c² - 6c - 126 = 0

Dividing both sides by 6, we get:

c² - c - 21 = 0

Using the quadratic formula, we can solve for c:

c = [1 ± sqrt(1 + 4(21))] / 2

c = [1 ± 5] / 2

The two possible values of c are:

c = 3 or c = -4

However, since the interval is (5,9), c must be between 5 and 9. Therefore, the value of c that satisfies the Mean Value Theorem is c = 3.

Finally, substituting f(5) and f(9) into the formula for the average rate of change, we get:

average rate of change = [f(9) - f(5)] / (9 - 5)

= [(2(9)³ - 3(9)² - 12(9) - 4) - (2(5)³ - 3(5)² - 12(5) - 4)] / (9 - 5)

= [434 - (-104)] / 4

= 139

Therefore, the value of c on the interval (5,9) such that f'(c) = f(b) - f(a) / (b - a) is c = 3, and the average rate of change of f(x) on the interval [5,9] is 139.

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Answer:

around 5.5 inches

Step-by-step explanation:

34.48 = 2rπ

34.48/π = 2r = around 11

r = 11/2

The radius of the circle is equal to 5.49 inches.

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

here, we have,

Given here:

Circumference as 34.48 inches and π=3.14

Now circumference of the circle is given by

2πr=34.48

r=34.48/2×3.14

r=5.49 inches

Hence, The radius of the circle is equal to 5.49 inches.

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The kinetic energy of the Mars Climate Orbiter spacecraft is approx    3.31 x 10^7 joules.

To determine the kinetic energy of the Mars Climate Orbiter spacecraft, we can use the formula:

Kinetic energy = (1/2) * mass * velocity^2

Given:

Mass of the spacecraft (m) = 629 kg

Velocity of the spacecraft (v) = 1.20 x 10^4 km/h

First, we need to convert the velocity from km/h to m/s:

1 km = 1000 m

1 h = 3600 s

Velocity in m/s = (1.20 x 10^4 km/h) * (1000 m/km) / (3600 s/h) ≈ 333.33 m/s

Now, we can calculate the kinetic energy:

Kinetic energy = (1/2) * (629 kg) * (333.33 m/s)^2

Kinetic energy ≈ 3.31 x 10^7 joules

Therefore, the kinetic energy of the Mars Climate Orbiter spacecraft is approximately 3.31 x 10^7 joules.

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The linear equation which determines whether we have enough pouches for 120 guests be,

210 = x + 120.

Given, we are a wedding planner who is filling small pouches with biodegradable confetti for a wedding reception.

We want to fill each pouch with of a cup of confetti, and we have a total of 210 fluid ounces of confetti.

We need enough pouches for 120 guests.

Let the number of remaining fluid ounces of confetti be, x

according to the question,

210 = x + 120

So, the linear equation which determines whether we have enough pouches for 120 guests be, 210 = x + 120.

Hence, the linear equation which determines whether we have enough pouches for 120 guests be, 210 = x + 120.

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Step-by-step explanation:

7.083, 7.2,and 7.21

This should be the answer

Answer:

3m-8

Step-by-step explanation:

Kelly  = 8 less than (-8) 3 times Marcy (3m)

Answer:

Vertical Asympote, but I might be wrong, haven't done this math in years

The y-coordinate of the image point of (π/6, 1/2) in the transformed function is -6.5.

The transformed function is y = -3.5 sin (2π/12 (x - 2.5)) - 10. To find the y-coordinate of the image point of (π/6, 1/2), we need to substitute π/6 for x in the transformed function.

y = -3.5 sin (2π/12 (π/6 - 2.5)) - 10

y = -3.5 sin (π/6 - 2.5π/6) - 10

y = -3.5 sin (-π/2) - 10

y = -3.5(-1) - 10

y = 3.5 - 10

y = -6.5

Therefore, the y-coordinate of the image point of (π/6, 1/2) in the transformed function is -6.5.

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Answer:

3 hours

Step-by-step explanation:

200 x 3 = 600

Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

By the Mean Value Theorem, there exists a value c in the interval [1,4] such that f'(c) is equal to the average rate of change of f on the interval [1,4], which is (f(4) - f(1))/(4-1).

We can start by computing f(4) and f(1):

f(4) = 5cos(2(4^2)) + ln(4+1) - 3 = -0.841 + 1.609 - 3 = -1.232

f(1) = 5cos(2(1^2)) + ln(1+1) - 3 = 2.531 - 0.693 - 3 = -1.162

Then, we can compute the average rate of change:

(f(4) - f(1))/(4-1) = (-1.232 - (-1.162))/3 = -0.023

To satisfy the conclusion of the Mean Value Theorem, we need to find a value c in the interval [1,4] such that f'(c) = -0.023. From the given expression for f'(x), we can see that there is no value of c that satisfies this equation, since f'(x) can never be negative. Therefore, there is no value of c that satisfies the conclusion of the Mean Value Theorem applied to f on the interval [1,4].

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The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.

Calculation for the average of a set of numbers, follow these steps:

Add up all the values in the data set.

Division of the sum by the total number of values.

For example, consider the following data set: 10, 15, 20, 25, 30.

Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.

Divide the sum by the total number of values: 100 / 5 = 20.

In this case, the average of the data set is 20.

The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.

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Answer:

the line modeling the baking powder and the flour used

Step-by-step explanation:

plato master test

On comparing the pairwise R - squared value between the three variables, we find that the line modeling the baking powder and the flour used can be expected to produce the most reliable predictions.

R-Squared value is a quantifiable analysis of how well the line of best fit (linear regression model) fits your data. A value closer to 1 (100%) is usually good.

The coefficient of determination - R - squared value is square of the correlation coefficient.

R - squared value  of the relationship between baking powder and flour used =  0.953² = 0.908

R - squared value  of the relationship between baking powder and butter used =  0.802² = 0.643

R - squared value of the relationship between flour and butter used =  0.693² = 0.48

Since, on comparing the R - squared values of the three relationships, we find that the R - squared value of the relationship between baking powder and flour used is largest. Thus, line of best fit between baking powder and flour is expected to produce the most reliable predictions.

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The equation of the line that is perpendicular to y = -4x + 7 and passes through the point (-3, 8) is y = (1/4)x + 35/4 in slope-intercept form.

To find the equation of a line that is perpendicular to the line y = -4x + 7 and passes through the point (-3, 8), we need to determine the slope of the perpendicular line.

The given line has a slope of -4. The slope of a line perpendicular to it will be the negative reciprocal of -4, which is 1/4.

Using the point-slope form of a linear equation, we can write the equation of the perpendicular line:

y - y1 = m(x - x1),

where (x1, y1) is the given point (-3, 8) and m is the slope 1/4.

Substituting the values into the equation:

y - 8 = (1/4)(x - (-3)),

y - 8 = (1/4)(x + 3),

y - 8 = (1/4)x + 3/4.

To write the equation in slope-intercept form (y = mx + b), we can rearrange the equation:

y = (1/4)x + 3/4 + 8,

y = (1/4)x + 35/4.

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Answer:

2√3

Step-by-step explanation:

root 27

= √27

= 3√3

12 upon root 3

= 12 / √3

= ( 12 / √3 ) x ( √3 / √3 )

= ( 12 x √3 ) / ( √3 x √3 )

= 12√3 / 3

= 4√3

6 upon √3

= 6 / √3

=  ( 6 / √3 ) x ( √3 / √3 )

= ( 6 x √3 ) / ( √3 x √3 )

= 6√3 / 3

= 2√3

root 3 = √3

root 3 + root 27 - 12 upon root 3 + 6 upon root 3

= √3 + 3√3 - 4√3 + 2√3

= 4√3 - 4√3 + 2√3

= 2√3

Answer:

2√3

Step-by-step explanation:

Our equation :

Simplifying

Answer:

108.16

Step-by-step explanation: