Here is an expression: 2 + 3t

a. Evaluate the expression when t is 1.

b. Evaluate the expression when t is 4.

When our class starts at 12:45 PM in College Station, it would be approximately 5 hours ahead, which corresponds to 3:20 PM in that location.

The concept of time zones is based on the division of the Earth into 24 equal longitudinal zones, each spanning 15 degrees of longitude. The place mentioned at 37°38' East is located to the east of College Station, which is at a lower longitude. As one moves eastward, time progresses ahead due to the rotation of the Earth.

Since each time zone represents a 15-degree difference in longitude, we can calculate the time difference by dividing the difference in longitudes between the two locations. In this case, the difference is approximately 38° (37°38' - 96°20').

By dividing 38° by 15°, we get approximately 2.53, indicating that the place is approximately 2.53 time zones ahead of College Station. Considering that time zones are typically rounded to the nearest whole number, the place is approximately 3 time zones ahead. Each time zone corresponds to approximately 1 hour, resulting in a time difference of approximately 3 hours ahead of College Station.

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Answer: is it A

Step-by-step explanation:

Odd numbers are whole numbers that cannot be divided exactly into pairs. Odd numbers, when divided by 2, leave a remainder of 1. 1, 3, 5, 7, 9, 11, 13, 15 … are sequential odd numbers. Odd numbers have the digits 1, 3, 5, 7, or 9 in their one's place.

The amount of pure antifreeze to be added to make a mixture that is 74% antifreeze is; 3 liters

A linear equation of one variable is defined as an equation in terms of only one variable of degree 1. A multi-step linear equation is defined as a linear equation that can be solved using multiple algebraic operations on both sides of the equation.

This seems like starting with 6 and ending up with 6.

Let x represent the  amount to be drained and replaced

The % antifreeze equation:

0.48(6) - 0.48(x) + 1(x) = 0.74(6)

2.88 - 0.48x + x = 4.44

0.52x = 4.44 - 2.88

0.52x = 1.56

divide both sides by 0.52 gives us;

x = 1.56/0.52

x = 3 liters of pure antifreeze to be added to make a mixture that is 74% antifreeze

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Answer:

Step-by-step explanation:

Sides are 120 m, 170 m, 250 m

S is the semi-perimeter and is equal to:

Correct choice is D

The area is easy to calculate using the Heron's formula, since we have all three side lengths known.

Correct choice is B

Perimeter is:

Correct choice is A

The correct answer is option (c): computed value. Whenever a percentage, average or some other analysis value is computed with a sample's data, we refer to it as a computed value.

When analyzing data from a sample, we often calculate various statistical measures to summarize and make inferences about the population from which the sample is drawn. These measures can include percentages, averages, and other analysis values.

Option a. "A designated statistic" is not the appropriate term because it implies that the statistic has been assigned a specific role or designation, which may not be the case. The computed value is not necessarily designated as a specific statistic.

Option b. "A sample finding" is not the most accurate term because it suggests that the computed value represents a specific finding from the sample, whereas it is a general statistical measure derived from the sample data.

Option d. "A composite estimate" is not the best choice because it typically refers to combining multiple estimates to obtain an overall estimate. Computed values are individual measures, not a combination of estimates.

Therefore, the most suitable term is c. "Computed value," as it accurately describes the process of calculating statistical measures from sample data. It signifies that the value has been derived through mathematical calculations based on the data at hand.

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Answer:

-0.5

Step-by-step explanation:

Rate of change is easily found by the change in y values/change in x values.

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:

1

Step-by-step explanation:

just add the values,,,, i.e,

-3+8-4=1

Mono (1) nomial == 1 term.

11x^2 is 1 term in combination so B is your answer.

D. is not, its a binomial along with C. and A.

Answer:

The circumference is equal to 62.8 inches.

Step-by-step explanation:

To find the circumference we need to know the radius or the diameter.

In order to find the radius, we need to know that the area of a circle is equal to π\(r^{2}\) (where r is the radius of the circle). Now we can find the radius by using this equation...

100π \(in^{2}\)= π\(r^{2}\) \(in^{2}\)

Now we get...

100 \(in^{2}\) = \(r^{2} in^{2}\)

r in = 10 in

Therefore, the radius is equal to 10 inches. Now we can find the circumference by using the following formula...

Circumference = 2πr

Now we just sub in the values and get...

Circumference = 2πr = 2(3.14)(10) = 2(31.4) = 62.8

Now we knot that the circumference is equal to 62.8 inches.

The meaning of the statement g(1) = 200 include the following: A. after 1 hour the helicopter is 200 miles from its destination.

In Mathematics, a linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

Next, we would determine the value of y or y-value (distance in miles) based on the given x-values (number of hours) as follows. When x = 1 hour, the y-value (distance in miles) can be calculated as follows:

g(x) = 300 - 100x

g(1) = 300 - 100(1)

g(1) = 200

Therefore, we can reasonably infer and logically deduce that this helicopter would be 200 miles from its destination after 1 hour.

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Answer:

for the 2 blank it is "22, 20.25"

Step-by-step explanation:

because each of them are subtracting by 1.75

Answer:

15 students are wearing sneakers.

Step-by-step explanation:

There are 33 students in total, which will compare to 11 (5+6).

33 ÷ 11 = 3

The scale factor is 3.

Sneakers: 3 x 5 = 15 students

Answer:

x ≈ 29.4 ft

Step-by-step explanation:

The model is a right triangle.

Using the tangent ratio

tan40° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{35}\) ( multiply both sides by 35 )

35 × tan40° = x , then

x ≈ 29.4 ft ( to 1 dec. place )

7) Required value of HG is 13 ft.

8) The measure of x in the triangle below is 13 ft.

What is value of cosine formula ?

let say there is AABC,and opposite side of ZA is a, opposite side of <B is b, opposite side of C is c.

then cos(A) = (b² × c² - a²)/(2bc)

given that AFGH . FH = 8ft , FG = 13ft ,and m angle F = 72 deg

by law of cosines to find the HG, since

we know the lengths of FH and FG and

the measure of angle F.

Let's say length of HG be "x".

Then by law of cosines:

x² = 8² + 13²- 2(8)(13) × cos(72°)

x²= 64 + 169 - 208cos(72°)

cos(72°) , which is approximately 0.309., we get:

x²= 233 - 208(0.309)

x² = 169.072

x² = 64+169-208cos(72°)

cos(72°), which is approximately 0.309., we get:

x² = 233-208(0.309)

x²= 169.072

Taking the square root of both sides, we get:

x = 13 (approx)

So the length of HG is approximately 13 feet.

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Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

App inventor's random integer block test is sufficient for app inventor's prng . but to increase our confidence in app inventor's prng we can do other tests like random fraction test and random set speed test.

The Coin Flip Experiment app allows you to run experiments aimed at determining how "good" the App Inventor PRNGs are. The app allows the user to "flip a coin" her N times and the results are displayed. They should record and count the results and calculate the average head percentage. The expectation of should reach 50% on average as N increases.

To properly test an App Inventor PRNG, you must test both the Random Integer and Random Fraction blocks along with the Random Fraction and Random set speed to blocks. Create dice simulations to get better than 50/50 predictions and reuse dice simulators for all combinations of different App Inventor random blocks. If such a combination yields the same results, then you can be confident that her PRNG in App Inventor provides a good model of randomness from all angles.

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Answer: x=3

Step-by-step explanation:  Hope I helped trust me I am really good at math.

The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).

Equation of a circle

A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.

We know that,

Equation of the circle passing through the origin is given by:-

\(x^2+y^2=r^2\)

Where,

r is the radius of the circle, and

(x,y) are the coordinates of each point of the circle.

Hence, we can write,

The radius of the circle will be :-

\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)

Hence, r = 4 units.

Hence, the equation of the circle is given by:-

\(x^2+y^2=16\)

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Answer:

40.84 inches

Step-by-step explanation:

C=πd

C=π(13)

C=13π

C=40.84

So the pizza has a circumference of about 40.84 inches.

The 95% confidence interval for the amount of time spent on personal issues is (4.805, 4.95).

Mean time that employees spend on personal issues each week(M) = 4.9 hours

Standard deviation = 0.35 hours

The following formula is used to get the confidence interval for the sample mean and standard deviation given:

μ = M ± t(sM)

where; M = sample mean

t = T-statistic based on confidence interval

Degree of freedom = n - 1

From the question, n = 55

Degree of freedom = 55 - 1

Degree of freedom = 54

(Standard errors)sM = √(s^2/n)

Now putting the value

sM = √(0.352/55)

sM = 0.05

t = 2.005 This is determined using the Excel formula =T.INV.2T at a confidence level of 0.95 and a degree of freedom of 55-1=54. (0.05,54)

Now the confidence interval

μ = M ± t(sM)

μ = 4.9 ± 2.005 × 0.05

μ = 4.9 ± 0.095

μ = (4.9 - 0.095, 4.9 + 0.095)

μ = (4.805, 4.95)

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49.2 calories are in  would that contribute per serving .

What does a calorie mean ?

Carbohydrates provide 4 calories per gram.

              1 gm Carbohydrates = 4 calories

 then 12.3 gm Carbohydrates  = 12.3 * 4

                                             = 49.2 calories

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Answer:

A.

C.

Step-by-step explanation:

range of a function is the number interval of the y (function) values.

the domain is the number interval of the x (input) values.

A.

this function has only one constant functional value : -5

so the range is the set with only that one value.

B. no, the line goes across all possible values of x.

it is therefore not limited to a single value.

C. see B. therefore, true.

D. see A. no, only one value.

E. is simply a wrong statement. it would not be a function, if there is an x that has more than one y value. but that is not the case here. every x value has exactly one y value. they are all the same, but that does not matter.

The dimensions of the wooden block are 14cm tall, 4cm long and 3 cm wide.

In three dimensional space prism is a polyhedron where two ends are similar.

Given that volume of rectangular prism is 168 cubic centimeters.

And the wooden block is 2x cm tall, (x-4) cm wide and (x-3) cm long.

And also given that a wooden block in a set of building blocks is a rectangular prism.

That means,

Volume of wooden block = Volume of rectangular prism = 168 cm³

Volume of wooden block ;

length × width × height = 168 cm³

Substituting given values in above expression,

2x (x-3) (x-4) = 168 cm³

2x (x²-7x + 12) = 168 cm³

2x³ - 14x²+ 24x = 168 cm³

Simplifying the above equation;

2x³ - 14x²+ 24x- 168 = 0

x³ - 7x²+ 12x- 84 = 0

The factor of above cubic equation is x = 7.

Now the 2x = 14 , x-3 = 4, x-4 = 3.

Therefore the dimensions of the wooden block are 14cm tall, 4cm long and 3 cm wide.

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Answer:

ITS D GOOD LUCKKKK ON THE REST

Answer:

\(\frac{2}{7}\)

Step-by-step explanation:

Triangle ABC is similar to triangle DEC, because all angles in one triangle are equal to angles in the other triangle.

That means that corresponding sides have the same ratio. Side AB and side DE are corresponding sides. Since there are no unknowns we can calculate the ratio (scale factor).

Since we are looking for scale factor of triangle DEC to triangle ABC, we put side AB (which is in triangle ABC) in the numerator.

\(\text{scale factor} = \frac{\text{AB}}{\text{DE}} = \frac{6}{21} = \frac{2}{7}\)

I've marked corresponding sides and angles in the attached picture.

There were 3,000 leopards in the wild in 1996. There are now only 70. There is decrease of 97.67 % in leopards.

We have been giving the leopards in 1996 as 3,000 and leopards today as 70.

Difference between the leopards = 3,000 - 70 = 2,930.

Percent decrease = difference in leopards / leopards in 1996 × 100

= 2930 / 3,000 × 100

= 97.67%.

The percentage drop formula is used to determine how much a variable's value has decreased. The variable can be population, cost, profit, or something else. Percent reduction denotes the percentage change in a value when it is decreased over time.

For example, a decrease in rainfall, a decrease in the number of Covid patients, and so on. The percent decrease formula can be used to determine percent decrease.

Simply divide the decreased number by the original value and multiply by 100 to get the percentage decrease calculation.

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Answer:

112 inches.

Step-by-step explanation:

L(k)=8(12)+2k

L(k)=96+2k

L(8)=96+2(8)

L(8)=96+16

L(8)=112in

Answer:

112 inches.

step by step

Y= 96 +2x

watch out for the change of units of feet and in.

The definition of decibels and the properties of logarithms allow us to find the intensity of the two speakers is 73 dβ

The sound is produced by the longitudinal vibrations of the air, it is medium in form of intensity that is defined by the relation between the power per unit area

               I =\(\frac{P}{A}\)

Where I is the sound intensity, P the power and A the area

The physical units of this magnitude are [watts/ m²].  The audible intensities  by the human being range from 10⁻¹² to 10¹² w / m², this measurement range is very wide, it is practical to use a logarithmic scale for the measurement, defined by the relation

            \(\beta = 10 \ log(\frac{I}{I_o} )\)

Where β is the intensity, I and I₀ are the actual intensities and the  reference intensity (minimum audible).

In this exercise indicate that the intensity of a speaker is 70 dβ, let's find the intensity that it emits

          I =  \(I_o \ 10^{\beta /10}\)

Since the two speakers are the same intensity and are together, the total intensity is

         \(I_{total} = 2 I\)

Now let's find the intensity in decibels units is

          \(\beta = 10 \ log ( \frac{2I}{Io} )\)

Using the properties of logarithms

           log (a + b) = log a + log b

          β = 10 (log 2 + log\(\frac{I}{I_o}\) )

          β =  10 log 2 + 10 log \(\frac{I}{I_o}\)

Let's calculate

            β = 3.01 + 70

            β  = 73 dβ

In conclusion using the definition of decibels and the properties of logarithms we can encode the intensity of the two speakers is 73 dβ

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