What is the value of 4.6 – t when t = 3.1?

Answer:

5.5

Step-by-step explanation:

1/2 of 1 is 0.5 so you just add that to the end of the number. Or where the fraction would be.

Answer:

5 is just 5, as a whole number, decimal, or fraction. the 1/2 can be multiplied by 50 on both sides(numerator and denominator) to get 50/100. 100 is a decimal number, so the ANSWER is 5.50 or 5.5.

Step-by-step explanation:

a) The definition of the composite function is: \((f \circ g)(x) = \frac{6}{12 + 2x}\)

b) The domain of the composite function is: (-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

The composite function of f(x) and g(x) is given by the function rule presented as follows:

(f ∘ g)(x) = f(g(x)).

For the composition of two functions, we have that the output of the inner function, which in this example is given by g(x), serves as the input of the outer function, which in this example is given by f(x).

The functions for this problem are given as follows:

Hence the composite function is obtained as follows:

\((f \circ g)(x) = f(\left\frac{6}{x}\right)\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{6}{x} + 2}\)

\((f \circ g)(x) = \frac{\frac{6}{x}}{\frac{12 + 2x}{x}}\)

\((f \circ g)(x) = \frac{6}{12 + 2x}\)

The domain is all real values except x = 0, x = -2 and x = -6, as f(x) is not defined at x = -2 and g(x) is not defined at x = 0 and the composite function is not defined at x = -6, hence the interval notation is:

(-∞, -6) U (-6, -2) U (-2,0) U (0, ∞).

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Answer:

Step-by-step explanation:

(x₁ , y₁) = (-3.1  , -2.8)   & (x₂ , y₂) = (-4.92 , - 3.3)

\(Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\\=(\frac{-3.1-4.92}{2},\frac{-2.8-3.3}{2})\\\\\\=(\frac{-8.02}{2},\frac{-6.1}{2})\\\\\\=( -4.01 , -3.05)\)

We need to know about profit and loss inorder to solve the problem. The cost of one shirt is $12.8, the amount of money Mrs. Jackson received after selling all t-shirts is $2998.50, the total profit made is $1078.50 and the profit percentage is 56.17%.

We know that Mrs. Jackson bought 150 t-shirts for $1920, we need to fisrt find the cost of one t-shirt, we can do that by dividing the total cost by the number of t-shirts.

cost of one =1920/150=$12.8

Next we need to find the total selling price of all the t-shirts given that each t-shirt is sold at $19.99

total selling price= 150x19.99= $2998.50

The total profit made by Mrs. Jackson can be calculated by subtracting the cost price from the selling price.

profit=2998.50-1920=$1078.50

The profit percentage with respect to the cost price can be calculated as

profit percentage= 1078.50/1920x100=56.17%

Therefore the cost of one t-shirt is $12.8, the amount Mrs. Jackson received on selling all the t-shirts is $2998.50, the profit made is $1078.50 and the profit percentage is 56.17%.

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Your question was incomplete. Please refer below for the entire question.

Mrs. Jackson bought 150 T-shirt for 1920 from a factory.

i) calculate the cost of one T-shirt

The T-shirt are sold at $19.99 each.

Calculate

ii) the amount of money Mrs Jackson received after selling All of T-shirt.

iii) the TOTAL profit made

iv) the profit made as a percentage of the cost price, giving your answer correct to the nearest whole number.

We can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

To determine the interval within which 95 percent of the sample means will fall, we need to calculate the margin of error using the standard deviation and the desired level of confidence.

The formula to calculate the margin of error is given by:

Margin of Error = Z * (Standard Deviation / √n)

Where:

Z is the critical value corresponding to the desired level of confidence

Standard Deviation is the standard deviation of the population

n is the sample size

Since the sample size is 41 and we want to find the interval at a 95 percent confidence level, we need to find the critical value corresponding to a 95 percent confidence level.

The critical value can be found using a standard normal distribution table or a calculator. For a 95 percent confidence level, the critical value is approximately 1.96.

Now we can calculate the margin of error:

Margin of Error = 1.96 * (0.0050 / √41)

Calculating this, we find:

Margin of Error ≈ 0.001624

To find the interval within which 95 percent of the sample means will fall, we need to subtract and add the margin of error to the true mean:

Interval = True Mean ± Margin of Error

Interval = 0.9550 ± 0.001624

Calculating this, we find:

Interval ≈ (0.9534, 0.9566)

Therefore, we can conclude that with 95 percent confidence, the sample means will fall within the interval of approximately (0.9534, 0.9566).

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Answer:

Step-by-step explanation:

u = 2v

(2v)² = v² + 3

4v² - v² = 3

3v² = 3 ⇒ v = 1 and u = 2

Answer:

See below

Step-by-step explanation:

a)   47/100

b)  .4777777.....   =x

      then 10x = 4.77777....

      100x = 47.777777 ....   now subtract 10x to get

          90x = 43

             x = 43/90

c) .4747474747......   = x

        100x = 47.474747    now subtract x to get

          99x = 47

             x = 47/99

The number of gummy bears Tanner and Mona has is 16 and 32 respectively.

Let

Number of gummy bears Tanner has = x

Number of gummy bears Mona has = 2x

2x - 23 = x - 7

combine like terms

2x - x = -7 + 23

x = 16

Hence,

Number of gummy bears Tanner has = x

= 16 gummy bears

Number of gummy bears Mona has = 2x

= 2 × 16

= 32 gummy bears

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Answer:

The insect population after 6 days is of 1639 insects.

Step-by-step explanation:

A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day

This means that \(r(t) = 230 + 8t + 0.9t^2\)

The population of insects after x days is given by:

\(P(t) = \int_{0}^{x}r(t)dt\)

So

\(P(x) = \int_{0}^{x} (230 + 8t + 0.9t^2)\)

\(P(x) = 230t + 4t^2 + 0.3t^3 + K|_{0}^{x}\)

\(P(x) = 230x + 4x^2 + 0.3x^3 + K\)

In which K is the initital population(which is 50). So

\(P(x) = 230x + 4x^2 + 0.3x^3 + 50\)

After 6 days:

\(P(6) = 230*6 + 4*6^2 + 0.3*6^3 + 50 = 1638.8\)

Rounding to the nearest insect, 1639

The insect population after 6 days is of 1639 insects.

Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.

Answer

-64

just use ur calculator since my teacher let us use the calculator i just typed in 16.(-4) and got -64  

Answer:

-64 is answer

Step-by-step explanation:

16.(-4)

= -64

The required similarity ratio for the given triangle is given as 1/3, and option B is correct.

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

Here,
Consider the triangles ABC to PQR,
Taking the ratio of the corresponding sides,
AB/PQ = BC /QR = AC/PR
2 / 6 = 2/6 = 1/3
1/3 = 1/3 = 1/3

Thus, the required similarity ratio for the given triangle is given as 1/3, and option B is correct.

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Answer:

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

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.

The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.

To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...

By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.

Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.

Let's calculate the differences between consecutive terms:

-45 - (-39) = -6

51 - (-45) = 96

57 - 51 = 6

From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.

Let's calculate the ratios between consecutive terms:

-45 / (-39) ≈ 1.1538

51 / (-45) ≈ -1.1333

57 / 51 ≈ 1.1176

The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.

Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.

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Answer:

Cardiovascular system

Step-by-step explanation:

Answer: One root

Reason:

The term "root" refers to the x intercept.

We plug in y = 0 and solve for x to get the x intercept

y = 2x-12

0 = 2x-12

2x = 12

x = 12/2

x = 6

The root is 6.

The single x intercept is located at (6,0).

Answer:

because it is intersecting I think

Step-by-step explanation:

If a caterpillar eats 18 leaves every day, It will eat 216 leaves after 12 days.

To approach this answer we have to use the mathematical function multiplication.

In the first step, we require to know how many leaves per day the caterpillar consumes. For that, the question above has given that the caterpillar eats 18 leaves per day.

So for 12 days, the number of leaves consumed will be 18 leaves added 12 times or a simpler way is by multiplying 18 by 12 we get :

18 * 12 = 216

Therefore the number of leaves a caterpillar eats after 12 days if it eats 18 daily is 216 leaves.

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Answer:

That would be 40%.

Answer:

Almost equals 28°

Step-by-step explanation:

cos(x)= 12/18

x= cos^-1 (12/18)

So it equals 48.1896°

Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{Let\ the\ age\ of\ Sophia\ be\ }x\mathrm{\ and\ age\ of\ Mohal\ be\ }x+2.\\\mathrm{Given,}\\\mathrm{Product\ of\ their\ ages = 15}\\\mathrm{or,\ }x(x+2)=15\\\mathrm{or,\ }x^2+2x=15\\\mathrm{or,\ }x^2+2x-15=0\\\mathrm{or,\ }x^2+5x-3x-15=0\\\mathrm{or,\ }x(x+5)-3(x+5)=0\\\mathrm{or,\ }(x+5)(x-3)=0\\\mathrm{i.e.}\ x=-5\ \mathrm{or}\ 3.\)

\(x=-5\ \mathrm{is\ disgarded\ because\ age\ cannot\ be\ negative.}\\\mathrm{So\ the\ age\ of\ Shopia,\ }x=3\)

Answer: what unit is this?

Step-by-step explanation:yeah I’ll need the unit to solve this question

Answer:

x = 0

Step-by-step explanation:

Step 1: Write equation

6(x + 3) + 2 = 20

Step 2: Solve for x

Distribute: 6x + 18 + 2 = 20

Combine like terms: 6x + 20 = 20

Subtract 20 on both sides: 6x = 0

Divide both sides by 6: x = 0

Answer:

B.

Step-by-step explanation:

i did the edge

Answer:

A. $4.80 + $2.40 = $7.20

Step-by-step explanation:

10% is the same as 10/100 or 1/10. To find 10% of a number, move the decimal point one place to the left.

10% of $48 is $4.80

Now he needs 5% of $48 which is half of 10% of $48, so 5% of $48 is $2.40.

$4.80 + $2.40 = $7.20

Answer: A. $4.80 + $2.40 = $7.20

Answer:

Step-by-step explanation:

Example:

Calculate the exponent for the 3 raised to the power of 4 (3 to the power of 4).

It means = 34

Solution:

3*3*3*3 = 81

4 to the 3rd power = 81

Therefore the exponent is 81

2 raised to the power calculator.

Example:

What is the value of exponent for 2 raise to power 9 (2 to the 9th power)

It means = 29

Solution:

2*2*2*2*2*2*2*2*2 = 512

2 to the 9th power = 512

Therefore the exponent is 512.

Example:

How do you calculate the exponents of 5,6,7 to the power of 4?

It means = 54, 64, 74

Solution:

5*5*5*5 = 625

6*6*6*6 = 1296

7*7*7*7 = 2401

Therefore the exponents are 625, 1296, 2401.

Answer:

Below

Step-by-step explanation:

Improper fractions have numerator > denominator

25/20   is improper =====> 1  5/20  =====< 1 1/4

2  9/7   is improper ====> 3 2/7

20/25 is OK    but simplified = 4/5

The value of the expression 4 1/5 ÷ 2 1/4 will be -28/15. Then the correct option is E.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The mixed fraction numbers are given below.

- 4 1/5 and 2 1/4

The mixed fraction number is converted into a fraction number.

-4 1/5 = -21/5

2 1/4 = 9/4

Then the division of the fraction numbers will be

⇒ -(21/5) ÷ (9/4)

⇒ -(21/5) · (4/9)

⇒ -28/15

Then the value of the expression 4 1/5 ÷ 2 1/4 will be -28/15.

Then the correct option is E.

The missing option will be negative 28 over 20.

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An equation is formed of two equal expressions. The number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Jamison needs a total of $395 to buy a new bike but he has only $35 saved. Also, He earns $15 each week delivering newspapers.

Now, the equation that can represent the situation can be written as,

Cost of the bike = Amount Saved + Earning by delivering newspapers

Substituting the values,

$395 = $35 + $15x

where x is the number of weeks for Which Jamison needs to work in order to purchase the new bike. Therefore, solving the equation for x,

395 = 35 + 15x

395 - 35 = 15x

360 = 15x

x = 360 / 15

x = 24

Hence, the number of weeks for which Jamison needs to deliver papers to earn enough money for a bike is 24.

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