Brian was thinking of a number. Brian
halves it and gets an answer of 1.6. What
was the original number?

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

where c is a constant.

The solution to the question is shown below.

Step 1: We have given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

We have to find the number of words we have to write to express this function in words.

Step 2: Solution

f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶

Where,

et5+4t = exponential function

ln(t²+3c)⁷ = natural logarithmic function

te-1 = linear function

e⁶ = exponential function

Therefore, f(t) can be expressed in words as:

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Step 3: Conclusion

Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

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The correct numerical expression is 9 x 4 + (3 − 2).

What is an expression?

A mathematical expression is a phrase made up of the expression's own components, at least two additional variables or integers, and one or more arithmetic operations.

We are given a statement as "9 times 4 added to the difference of 3 and 2".

Now, we know that times denote multiplication operation, added denotes addition operation and difference denotes subtraction operation.

So, from this we get the expression as:

9 x 4 + (3 − 2)

Hence, the correct numerical expression is 9 x 4 + (3 − 2).

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answer

2.5

Step-by-step explanation:

that is what I got so

The protagonist, a detective, stumbles upon a series of crimes connected to the labeled tickets.

Box A: The plot that matches Box A is a thrilling mystery. The protagonist, a detective, stumbles upon a series of crimes connected to the labeled tickets.

As the detective investigates, they discover that the tickets with the number "1" are linked to a notorious gang involved in illegal activities. The tickets labeled "2" lead the detective to a secret society that uses the tickets for initiation rituals.

The plot unfolds as the detective races against time to unravel the connections between the tickets and bring the culprits to justice.

Box B: The plot that matches Box B is a heartwarming tale of friendship and adventure. The protagonist, a young child, finds one of the tickets labeled "3" and realizes it grants them access to a magical world. In this world, they meet a group of unique and colorful characters who also possess tickets labeled "5."

Together, they embark on a journey to restore harmony to their realm, battling against an evil force that seeks to exploit the power of the tickets. Through their shared experiences, the group learns valuable lessons about courage, loyalty, and the true meaning of friendship.

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Answer:

$33,600

Step-by-step explanation:

2,800 x 12

The approximation to a zero of the function f using the tangent line at x = 3 is 2.5 (option c).

When we have a differentiable function and we know the value of the function and its derivative at a specific point, we can use the tangent line at that point to approximate zeros of the function.

In this case, the function f has a tangent line at x = 3, and we know that the function value f(3) is 2 and the derivative f'(3) is 5.

The tangent line has the same slope as the derivative at that point, so its slope is 5. The equation of the tangent line can be written as: y - f(3) = f'(3)(x - 3)

Plugging in the values we know, we have: y - 2 = 5(x - 3)

Simplifying the equation, we get: y = 5x - 13

To find the zero of the function, we set y equal to zero and solve for x: 0 = 5x - 13

5x = 13

x = 13/5

So the approximation to a zero of the function f using the tangent line at x = 3 is 2.6, which is closest to 2.5 (option c).

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Answer:

22

Step-by-step explanation:

Mean basically just means average. To find the mean, add the numbers together and divide them by the number of numbers.

17 + 20 + 17 + 33 + 22 + 23 = 132

After that, divide by 6 since there are 6 numbers

132 ÷ 6 = 22

-------

Have a good day :)

Answer:

\( - \frac{4}{5} \)

Step-by-step explanation:

Please see the attached picture.

\(slope \\ = \frac{1 - ( - 3)}{ - 3 - 2} \\ = \frac{1 + 3}{ - 5} \\ = - \frac{4}{5} \)

☆In the gradient formula,

(x1, y1) is the first coordinate and (x2, y2) is the second coordinate.

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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Answer:

-1/2

Step-by-step explanation:

y = mx + c

y = -1/2x + 3 (rearranged from question)

slope = m

Answer:

- 1/2

Step-by-step explanation:

I recommend hiring "Pane "less Window Cleaners since it's less expensive compared to Sunshine Express Window Cleaners.

I recommend hiring "Pane "less Window Cleaners". This is because for a fixed number of windows, "Pane "less Window Cleaners" is less expensive compared to Sunshine Express Window Cleaners. The difference in cost can be calculated by subtracting the cost of "Pane "less Window Cleaners" from that of Sunshine Express Window Cleaners.

For example, for 10 windows, the cost of Sunshine Express Window Cleaners is $50 + 10 * $10 = $150, whereas the cost of "Pane "less Window Cleaners" is $25 + 10 * $15 = $175.

Therefore, the difference in cost is $175 - $150 = -$25, meaning that "Pane "less Window Cleaners" is cheaper. This recommendation is reasonable because it provides the best value for their money.

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Answer:

i think the answer you want is 8x^2+3d+3g-2h

Step-by-step explanation:

you have to combine like terms

the only like terms are +4d and -d which simplify to +3d

then you just write the rest out as written.

Answer:

7.1 cm

Step-by-step explanation:

Answer:

7.07 cm

Step-by-step explanation:

Answer:

3/8 room

Step-by-step explanation:

Given data

We are told that 2 rolls of wire are needed to wire 1 room

Hence if 1 room needs 2 rolls

               x rooms will need 3/4 rolls

cross multiply we have

2x= 3/4

Multiply  both sides by 1/2

x= 3/4*1/2

x= 3/8 room

The area covered by the pool and the cement walkway is 304  square feet. The width of the walkway would be 5 feet

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Let x be represent the width of the walkway.

The pool measures 25 ft by 10ft . If the walkway must have a uniform width around the entire pool, then the total length of the pool and the walkway =  25+ x + x = 25 + 2x

The total width of the pool and the walkway = 10 + x + x = 10 + 2x

The area covered by the pool and the cement walkway is 304  square feet. This means that;

(25 + 2x)(10 + 2x) = 304

250 + 50x + 20x + 4x^2 = 304

4x^2 + 70x + 250 - 304 = 0

4x^2 + 70x - 54 = 0

x(x + 20) - 5(x + 20) = 0

(x - 5)(x + 20) = 0

x = 5 or x = - 20

Thus The width cannot be negative.

Therefore, the width of the walkway is 5 feet.

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Step-by-step explanation:

Given angle of elevation = angle ACB.

angle ACB + angle ABC + angle BAC = 180(sum of angles in a triangle)

angle ACB + 90 + 58 = 180

angle ACB = 180 - 90 - 58

=32

Answer:

? = 32 degrees

Step-by-step explanation:

since the angles inside a triangle has to add up to 180 degrees then we can use this equation to find the missing angle:

58° + 90° + ? = 180°

The means of the 10 possible samples of size 2 from the population {2, 4, 6, 6, 8} are 3, 4, 4, 5, 5, 5, 6, 6, 7, and 7.

To list all possible samples of size 2 from the given population of 5 values, we can use combinations. The possible combinations of two values from a set of five are:

{2, 4}, {2, 6}, {2, 6}, {2, 8}, {4, 6}, {4, 6}, {4, 8}, {6, 6}, {6, 8}, {6, 8}

To compute the mean of each sample, we add the two values in the sample and divide by 2. The mean of each sample, rounded to 1 decimal place, is:

{2, 4}: (2 + 4)/2 = 3

{2, 6}: (2 + 6)/2 = 4

{2, 6}: (2 + 6)/2 = 4

{2, 8}: (2 + 8)/2 = 5

{4, 6}: (4 + 6)/2 = 5

{4, 6}: (4 + 6)/2 = 5

{4, 8}: (4 + 8)/2 = 6

{6, 6}: (6 + 6)/2 = 6

{6, 8}: (6 + 8)/2 = 7

{6, 8}: (6 + 8)/2 = 7

Therefore, the means of the 10 possible samples of size 2 from the population {2, 4, 6, 6, 8} are 3, 4, 4, 5, 5, 5, 6, 6, 7, and 7.

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Answer:

The answer to your question is the first option.

Step-by-step explanation:

Answer: it is one of the last two

Step-by-step explanation:

The reasonable estimate of the probability that Todd runs 5/13.

We know that,

Experimental probability = Number of favorable outcomes/total number  of outcomes.

Experimental probability, also called empirical probability, is based on real experiments and rational records of what happened. A series of real-world experiments are conducted to determine the occurrence of events. Experiments with undetermined results are called random experiments. The results of such experiments are uncertain. Repeat the random experiment several times to determine its probability. Experiments are repeated a specified number of times, and each repetition is called a trial. Mathematically, the formula for experimental probability is defined as:

Probability of event P(E) =

frequency of occurrence of event / total number of trials.

According to the question:

The number of favorable outcomes are 5.

The total number of outcomes are 2 + 3 + 3 + 5 = 13.

Therefore, the reasonable estimate of the probability that Todd runs is 5/13.

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Answer:

Keith p = 6d

Tameka p = 5d + 15

p=p so the following is also true:

6d = 5d + 15

let's do the same thing on both sides of the equation, subtract 5d

d = 15

after 15 days the will be on the same page

you could also say that Tameka is slowly catching up with a rate of 1 page per day

Answer:

Tahukah kamu, mengapa motor berhenti di depan lampu merah?

karena motornya direm. Coba kalau nggak direm bisa bahaya tuh.

Tebak binatang apa yang jago renang?

Bebek. Kalau ikan bukan renang tapi menyelam

Kenapa di rel kereta api ditaruh batu?

Soalnya kalau ditaruh duit nanti pada diambil.

The coordinates of Q(6, -4) under a reflection in the x-axis is Q'(6,4)

The coordinates of x will remain the same for reflection in the X axis, while y will change with the opposite sign.

From the question, we have

The coordinates of Q(6, -4) under a reflection in the x-axis is Q'(6,4).

Reflection:

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and shape as the original, but it faces the opposite way. Changes in position during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context. ABC and A'B'C are used to represent the pre-image and image, respectively. The coordinate system may be referred to by the reflection transformation (X and Y-axis).

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Answer:

31.85

Step-by-step explanation:

to subtract 30 percent from 45.50 just divide the percentage (30) by 100 subtract this value form 1 then multiply it by the initial value (45.50) so

final value = 45.50 x ( 1 - \(\frac{30}{100}\) )

final value = 45.50 x ( 1 - 0.3)

final value = 45.50 x (0.7)

final value = 31.85  

subtract 30% is the same as discount 30% this operation could be for example a 30% discount on 45.50

note: 0.3 can be found just by moving the decimal point 2 places to the left \(\frac{30}{100}\) = 0.3 as a decimal

Based on Chebyshev's Theorem, we can conclude that the lower bound for the number of bags in a sample of 225 that weigh between 335 and 371 gm is 200 bags.

Chebyshev's Theorem states that for any given number k greater than 1, at least (1 - 1/k²) of the data values in a dataset will fall within k standard deviations of the mean.

In this case, we have a sample size of 225 bags and a mean weight of 353 gm with a standard deviation of 6 gm.

To find a lower bound for the number of bags that weigh between 335 and 371 gm, we need to calculate the range within k standard deviations of the mean.

First, let's find the number of standard deviations for the given range:

Lower range: (335 - 353) / 6 = -3

Upper range: (371 - 353) / 6 = 3

Since we want to find the lower bound, we consider the lower range and use its absolute value: |-3| = 3.

Now, we can use Chebyshev's Theorem to find the lower bound:

(1 - 1/k²) ≤ (1 - 1/3²) = 1 - 1/9 = 8/9

This means that at least 8/9 of the bags will fall within 3 standard deviations of the mean.

To find the lower bound for the number of bags, we multiply this probability by the sample size:

Lower bound = (8/9) * 225 = 200

Therefore, based on Chebyshev's Theorem, we can conclude that the lower bound for the number of bags in a sample of 225 that weigh between 335 and 371 gm is 200 bags.

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Answer:

The range of this quadratic function is

-infinity < y ≤ 2.

Answer:

<DHM and <DHR

Step-by-step explanation:

<DHM and <DHR are the angles formed by the dashed rays