Determine the number of triangles that can be formed given the modifications to a in Activity 1 .

ab sin A (Hint: Make a blue mark between the black and the red marks. Then rotate the strip to try to form triangle(s) using this new length for a .)

Answer:

116

Step-by-step explanation:

Answer:

$170 (i think)

Step-by-step explanation:

if you have (10w + 120) after w weeks, im thinking you would multiply 10 by 5 for the number of weeks and then add that to 120, which would be 170.

Based on the data collected from the 75 randomly selected students at CSUF, the average amount of sleep they obtained on a typical night was 6.9 hours, with a standard deviation of 1.482 hours. This means that the majority of students at CSUF are sleeping between 5.4 and 8.4 hours per night, as 68% of the data falls within one standard deviation of the mean.

To answer the question of whether the average amount of sleep is less than the recommended eight hours, we need to look at the lower end of the range. The data shows that 6.9 hours is significantly less than the recommended eight hours of sleep per night. This indicates that the average amount of sleep obtained by CSUF students is less than the recommended amount.

To estimate the average amount of sleep for all CSUF students, we can use the data collected from the 75 students and calculate a confidence interval. This interval will give us a range of values that we can be confident contains the true average amount of sleep for all CSUF students.

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Answer:

2.2w+14t-3L

Step-by-step explanation:

Equation: 2.2W+14T-3L

W+T+L=6

Example player:

2.2(2)+14(2)-3(2)

4.4+28-6=26.4

Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.

The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.

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Answer:

= $31.98

Step-by-step explanation:

a) The singularities of f(z) are given by:

z = ± √π, ± √3π, ± √5π, ...

b) The residues of f(z) at its singularities are:

Res[f(z), z = ± √π] = ± 1 / 2√π

Res[f(z), z = ± √3π] = ± 1 / 2√3π

Res[f(z), z = ± √5π] = ± 1 / 2√5π

and so on.

(a) The singularities of f(z) occur when the denominator sin z² becomes zero, i.e., when z² is an integer multiple of π. Therefore, the singularities are given by:

z² = nπ, where n is an integer.

Taking square roots, we get:

z = ± √(nπ), where n is an odd integer.

Thus, the singularities of f(z) are given by:

z = ± √π, ± √3π, ± √5π, ...

(b) To find the residues of f(z), we need to calculate the Laurent series expansion of f(z) at each singularity. Since sin z² has simple zeroes at the singularities, we have:

f(z) = (sin z²)^-1 = 1 / (z² - nπ) + g(z),

where g(z) is analytic at the singularities.

The residue of f(z) at z = ± √(nπ) is therefore given by:

Res[f(z), z = ± √(nπ)] = lim[z→± √(nπ)] [(z ± √(nπ)) f(z)]

= lim[z→± √(nπ)] [(z ± √(nπ)) / (z² - nπ)]

= ± 1 / 2√(nπ)

Therefore, the residues of f(z) at its singularities are:

Res[f(z), z = ± √π] = ± 1 / 2√π

Res[f(z), z = ± √3π] = ± 1 / 2√3π

Res[f(z), z = ± √5π] = ± 1 / 2√5π

and so on.

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In circle s TQ = 92°. The value of x is approximately 4.0 to the nearest tenth.

In circle s, TQ = 92°. Solve for x if m TRQ = (11x - 40)°.We are required to find the value of x. To solve for x, we need to use the following formula of the angle in a semi-circle. Since we know that TQ is equal to 92°, we can find the value of the angle TRQ. We know that the angle TRQ is a vertical angle to the angle TQ. Therefore, the angle TRQ is also equal to 92°.

Since we know that angle TRQ is a straight angle, which means the sum of angle TPQ and angle PQR would equal 180°. Hence,

m TRQ + m PQR = 180°92 + m PQR = 180°m PQR = 180° - 92° = 88°

Now we know that the angle PQR is equal to 88°, and the angle TRQ is equal to 92°, we can find the value of the angle TPQ.

m TPQ = 180° - m TRQ - m PQRm TPQ = 180° - 92° - 88°m TPQ = 0°

Since m TPQ is equal to zero degrees, this means that TPQ is tangent to the circle, and TR is the radius of the circle. Therefore, angle TRQ is equal to half of the angle TQ. So, we can use the following formula to find x:

(11x - 40)° = (92°) / 2(11x - 40)° = 46°11x - 40 = 4.18181818181818211x = 44.18181818181818x

= 4.017828981821653.

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Answer:

Suppose A and B , both has initial volume, say x

120 ML is poured from B to A, then new volumes of A and B will be:

new volume of A (x-120)

new volume of B  (x+120)

Volume of B is now four times volume of A, then

(x+120)= 4(x-120)

(x+120)=4x-180

3x=600

x=200

So, the initial volume of A and B containers is 200

So, at the end, volume of container A = 200-120=80

Hence the answer is 80   :

Step-by-step explanation:

The value of the x will be 12. The value of the x is obtained from the condition,(f – g)(x) = 0

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Given function;

f(x) = 16x – 30

g(x) = 14x – 6

⇒(f – g)(x) = 0

⇒(16x – 30)-(14x – 6)=0

⇒16x-30-14x+6=0

⇒2x-24=0

⇒x=24/2

⇒x=12

Hence, the value of the x will be 12.

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Answer:

it will be the first option

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

edge 2021

Answer: the song Circle

Step-by-step explanation:

Sampling without replacement is a process of collecting data from a population mean where each unit is selected only once.

To calculate sampling without replacement, first determine the size of the population you are sampling from. For example, if you are selecting 10 items from a population of 100, then the population size is 100. Next, calculate the number of possible combinations by using the mathematical formula nPr (n is population size, r is the number of items you are selecting). For our example, the formula would be 100P10, which would give us a result of 100!/(90!*10!) = 9,092,000 possible combinations. Finally, divide the number of possible combinations by the population size to determine the probability of selecting a specific combination. In our example, the probability would be 9,092,000/100 = 90,920.

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Answer:

Step-by-step explanation:

3x + 50 = 6x - 10

Bringing like terms on one side

50 + 10 = 6x - 3x

60 = 3x

60/3 = x

20 = x

First consider what the associative property of addition is:

Due to such a property, the sum of three or more numbers remains the same regardless of how the numbers are grouped.

Then, from the different steps given in the question, you can notice that in the step 3, regardless the simplifcation of like terms right side or left side, the result is the same.

To find f'(t), the derivative of the function f(t) = (t^2 + 7t + 7)(6t^2 + 2), we can use the product rule of differentiation.

The product rule states that the derivative of the product of two functions is equal to the first function times the derivative of the second function, plus the second function times the derivative of the first function.

Let's differentiate each term separately:

f(t) = (t^2 + 7t + 7)(6t^2 + 2)

f'(t) = (2t + 7)(6t^2 + 2) + (t^2 + 7t + 7)(12t)

Expanding and simplifying:

f'(t) = 12t^3 + 4t + 42t^2 + 14t + 12t^2 + 4t + 42t + 14

Combining like terms:

f'(t) = 12t^3 + 54t^2 + 56t + 14

Therefore, the derivative of f(t) is f'(t) = 12t^3 + 54t^2 + 56t + 14.

To find f'(1), we substitute t = 1 into the derivative:

f'(1) = 12(1)^3 + 54(1)^2 + 56(1) + 14

= 12 + 54 + 56 + 14

= 136

Therefore, f'(1) = 136.

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Answer:

X = 15

Step-by-step explanation:

Since these lines are parallel, this means that Angle 2 is equal to angles 5 and 3.

Since it is equal to 3, this means angle 2 + angle 4 = 180

2x+10+4x+80=180

6x+90=180

6x=90

x=15

Answer:

B

Step-by-step explanation:

6% is usually represented by 0.06

Hope this helped :)

Answer:

In general , While estimating a bodies temperature that temperature is not the same for long, the temperature of the body is not at homeostasis, the temperature constantly has bumps and drops in the temperature this causes in accuracy thats why the thermometer takes 10-20 seconds because it takes the average of all the temperature's so it is accurate, that is a difficulty when estimating temperature because estimates are not good and the temperature keeps having ups and downs.

Answer: The third one

Step-by-step explanation:

Answer:

30° and 150°

Step-by-step explanation:

Supplementary angles sum to 180°

sum the parts of the ratio, 1 + 5 = 6 parts

Divide 180° by 6 to find the value of 1 part of the ratio

180° ÷ 6 = 30° ← value of 1 part of the ratio , then

5 parts = 5 × 30° = 150°

smaller angle = 30°

larger angle = 150°

The probability that the vehicle is a crossover 0.41.

What is probability?

Probability is the branch of mathematics concerned numerical descriptions of how probable an event is to occur, or how likely it is that a claim is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given that, the probability

passenger car     pickup truck         suv       crossover    minivan

     0.28                       0.18              0.08             ?                 0.05

The total probability of an event is 1.

Thus total probability distribution of for the type of vehicle chosen is  1.

Assume that the probability to choose crossover car is x.

Therefore,

0.28 + 0.18 + 0.08 + x + 0.05 = 1

0.59 + x = 1

x = 1 - 0.59

x = 0.41

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In the total amount of $261,000 received from contributors, a majority of $240,000 came from four contributors, with each contributing $60,000. The remaining $21,000 was obtained from smaller individual contributions.

This statement describes the breakdown of contributions received from different sources. Out of the total amount of $261,000, the majority, which is $240,000, came from four specific contributors. Each of these contributors donated $60,000, resulting in a combined contribution of $240,000. The remaining $21,000 represents the sum of smaller individual contributions from various sources.

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In order to estimate the coefficients of linear regression equations that explain the connection between one or more independent quantitative variables and a dependent variable, researchers frequently use the ordinary least squares regression (OLS) method (simple or multiple linear regression), this is ordinary about it.

Because it is the smallest sum of squares of errors, also known as the "variance," the term "least squares" is employed. In a regression analysis, independent variables are shown on the horizontal x-axis and dependent variables are shown on the vertical y-axis.

A linear regression approach that is used to estimate a model's unknown parameters is known as the ordinary least squares (OLS) method.

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Answer:

40 km on the highway

30 km on the city roads

Step-by-step explanation:

Let x = highway

Let y = city road

The time formula: time = distance / speed.

1) Since we do not know the distance travelled on the highway and city roads but we do know the total time taken, we can say x + y = 70. Set the distances x and y and all equated to 2 hours, since we do not know them, nor do we know the time. This is called a system of equations.

x + y = 70

x/80 + y/20 = 2

2) Solve the system of equations using substitution.

x = 70 - y

---------------

70 - y/80 + y/20 = 2

70 + 3y/80 = 2

y = 30

---------------------------------

x + 30 = 70

x = 70 - 30

x = 40

Therefore, the delivery truck travelled 40 km on the highway and 30 km on the city roads.

Answer:

(g + h)(x) = x² + 7x + 1

Step-by-step explanation:

(g + h)(x)

= g(x) + h(x)

= x² + 4x + 5 + 3x - 4 ← collect like terms

= x² + 7x + 1

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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