Divide and Simplify completely, show your work: I want to see the problem rewritten
as a multiplication problem then solve as you wish and just put in the answer. 2
points for the problem written as a multiplication problem then 2 pts for correct
answer.
3/4 divided by 5/6=

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

255 caps were sold

Step-by-step explanation:

25x+10y = 9000

25(258) + 10y = 9000

6450 + 10y = 9000

-6450 + 10y = -6450

10y = 2550

2550/10y

y = 255

The correct answer is B. Use a t-distribution because the sample is random, the population is normal, and σ is unknown.

In summary, a t-distribution should be used to construct the confidence interval for this scenario because the sample is random, the population is assumed to be normal, and the population standard deviation (σ) is unknown.
To explain further, when constructing a confidence interval for the population mean, the appropriate distribution to use depends on the characteristics of the sample and the population. In this case, the sample is random, which satisfies one requirement for using either a normal or t-distribution. However, since the population standard deviation is unknown, the t-distribution is more suitable.
The t-distribution is used when the population standard deviation is not known, and it provides more accurate confidence intervals in such cases. Additionally, it is assumed that the population is normal, which is an important assumption for using both the normal and t-distributions.
Therefore, based on the given information, a t-distribution should be used to construct the confidence interval for the mean body mass index (BMI) of the population. The specific confidence interval calculation is not provided in the question.

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Answer:

The temperature in the greenhouse was at least 68 degrees before the heater stopped working.

Step-by-step explanation:

It was at 68 then it dropped by 2 degrees.

Answer: C

Step-by-step explanation:

For a relation to be a function, each x-value can only have one corresponding y-value and would, in turn, pass the vertical line test, a way to determine in a graph is a function. Since set C features the points (5, 4) and (5,7), an x-value with two corresponding y-values, this set of ordered pairs does not represent a function.

Sathish will pay $64.8

When Satish is alone, kilometres:

Beginning at 150 kilometres and ending at 150 kilometres will be travelled 300 kilometres in total

When Satish is with friends, the total kilometres travelled is 2100 km:

And when Satish went alone he travelled 300 km

When Satish is with friends, total kilometres travelled: 2100-300 = 1800 km

Gas consumed in litres when Satish is alone: 100 kilometres use 6 litres of gas.

300 kilometres at 6 x 3 equals 18 litres.

So, when Satish is with friends, litres of gas are consumed: 100 kilometres use 6 litres of gas.

So, 6 × 18 for 1800 kilometres is equal to 108 litres.

Gas prices when Satish is on his own:

$1.2 per litre

18 x $1.2 = $21.6

Gas prices when Satish is travelling with friends

$1.2 per litre

108 x 1.2 = $129.6

Cost for each friend = $129.6/3 = $43.2

Satish will pay: Cost when travelling with friends + Cost when travelling alone

=$43.2+ $21.6

=$64.8

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Answer:

$(159+x)

Step-by-step explanation:

Given

Discount price = $x

Amount Emma paid after discount = $159

Original price = Amount paid + Discount

Original price= $159 + $x

Hence the required expression is $(159+x)

The segment lengths do not form a triangle.

A triangle is a closed, three-sided polygon with three angles. It is a basic shape in geometry and is used extensively in mathematics, science, engineering, and everyday life.

To determine whether the segment lengths 10, 7, and sqrt(658) form a triangle, we need to check whether the sum of the two smaller sides is greater than the longest side.

Here, the two smaller sides are 7 and 10.

7 + 10 = 17

The longest side is sqrt(658), which is approximately 25.66.

Therefore, we need to check whether:

17 > 25.66

Since this is not true, the segment lengths do not form a triangle.

If they did form a triangle, we would classify it based on the size of its angles. An acute triangle has all angles less than 90 degrees, a right triangle has one angle equal to 90 degrees, and an obtuse triangle has one angle greater than 90 degrees.

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(x + 1)2 and 2x + 1 are not inverse functions. To determine if (x + 1)2 and 2x + 1 are inverse functions, we need to first understand what inverse functions are. Inverse functions are two functions that undo each other. In other words, if we apply one function and then apply its inverse function, we get back the original input.

To find the inverse of a function, we switch the x and y variables and solve for y. So, let's start with (x + 1)2. We can rewrite this as (x + 1) * (x + 1), which gives us x2 + 2x + 1. To find the inverse function, we switch x and y and solve for y:

x = y2 + 2y + 1
x - 1 = y2 + 2y
x - 1 = y(y + 2)
y = (-2 ± √(4x - 7))/2

This gives us two possible inverse functions. However, neither of them is the same as 2x + 1. Therefore, (x + 1)2 and 2x + 1 are not inverse functions.

In summary, to determine if two functions are inverse functions, we need to find the inverse of one function and check if it matches the other function. In this case, we found that the inverse of (x + 1)2 does not match 2x + 1, so they are not inverse functions.

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Answer:

4s^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given.

The distance covered by the snail in 4 minutes is 10 cm.

The speed of snail is,

The distance covered by snail in 6 minute is,

Hence, the distance covered by the snail is 15 cm.

Speed :

Speed is defined as the rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling.

Hence , speed can be calculated by using the formula,

               Speed = \(\frac{Distance-travelled}{Time-taken}\)

Given data :

Distance travelled by the snail = 10 cm = 0.1 m

Time taken by the snail to travel a distance of 10 cm = 4 min = 240 s

Then , speed of the snail = \(\frac{10}{4}\) = 2.5 cm/min = 0.0004 m/s

If the time taken by the snail is 6 min = 360 s

Then, the distance travelled by the snail in 6 min

         = speed x time taken

          = 2.5 cm/min  x 6 min

          = 15 cm = 0.15 m.

Therefore, the snail travels a distance of 15 cm in 6 min.

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we need to randomly sample 145 individuals from the population and calculate their mean IQ.

To determine the required sample size for estimating the population mean with 98% confidence to within 4 IQ points of the true mean, we can use the formula:
n = \((Z\alpha /2 × σ / E)^{2}\)
Where: n = sample size
Zα/2 = the Z-score for the desired confidence level (98% confidence corresponds to Zα/2 = 2.33)
σ = the population standard deviation (given as 16 IQ points)
E = the desired margin of error (4 IQ points)
Plugging in these values, we get:
n = \((2.33 × 16 / 4)^{2}\)
n = 144.49
Rounding up to the nearest whole number, we get a required sample size of n = 145.

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The value of the time premium is $100.

According to the statement

we have to find the time premium from the given information.

So, For this purpose, the given information is:

a strike price of $25 when the option price is $2 and the underlying common stock sells for $24

And

Time premium is the amount by which an option price exceeds its intrinsic value. The value of an option beyond its current exercise value representing the option holder's control until expiration, the risk of the underlying asset, and the risk less return.

So, From the given information and the formula

The value of the time premium is $100.

So, The value of the time premium is $100.

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The length of the box is x = 13 inches. To find this, we need to solve the equation V = l*w*h = 180, where l is the length, w is the width, and h is the height.

We know that w = l - 5 and h = l + 2, so we can substitute these into the equation to get 180 = l(l - 5)(l + 2). After rearranging, we get

This can be solved using the cubic formula, which gives us l = 13. We can thus conclude that the length of the box is 13 inches.

To calculate this, we first need to set up the equation. We know that the volume of the box is 180 in³ and the width is 5 inches less than the length, and the height is 2 inches more than the length. We can then substitute this into the equation V = lwh to get 180 = l(l - 5)(l + 2).

After rearranging, we get

This can be solved using the cubic formula, which gives us l = 13. We can thus conclude that the length of the box is 13 inches.

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Based on the table, in every two additional tangerines, there is an additional 80 calories added to it as well.

Hence, at 10 tangerines, there will be 320 + 80 = 400 calories.

Based on the choices:

a. 10 x 20 = 200

b. 10 x 40 = 400

c. 80 + 320 = 400

d. 160 + 240 = 400.

Therefore, it is Option A that does not show a way to find the number of calories in 10 tangerines.

Step-by-step explanation:

1)

y=0.7 x -2

2)

y=-0.5x + 1.5

Answer:

There is not enough evidence to support the claim that drug is effective at 1%

Step-by-step explanation:

For this we use the pored test as we have dependent test;

Difference :

10,5,-5,3,-3,4,2,-3,0,10,8,-2,3,-2,5,5,4,0

Hypothesis :

H0 : μd = 0

H0 : μd ≠ 0

The mean of d, dbar = Σd / n = 44 / 18 = 2.44

The standard deviation, Sd = 4.45 (using calculator)

The test statistic, T : dbar / (Sd/√n)

T = 2.44 / (4.45/√18)

T = 2.44 / 1.0488750

T = 2.326

Degree of freedom, df = n - 1 ; 18 - 1 = 17

The Pvalue = 0.0326

α = 0.01

Since Pvalue < α ; we fail to reject H0

Answer:

x=4.5, 36/9

step by step explanation: First we find what 4 wholes is (36) and than we see what we are multiplying x by (8) to solve for x we divide 8 by 36 you should get 4.5 now we plug the number into the eqation to see if we were correct.

Answer: 6

Step-by-step explanation: 6+1 Is 7 and there are no eggs left in the group of 7 so if they need one egg left and 7-1 is 6 the answer is 6.

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Answer:

Subtract

2

from

−

12

.

−

14

Step-by-step explanation:

Answer:

\(\huge\boxed{7=\dfrac{21}{3}}\)

Step-by-step explanation:

\(7=\dfrac{7}{1}=\dfrac{7\cdot3}{1\cdot3}=\dfrac{21}{3}\)

Answer:2\(\frac{0.3}{3}\)

Step-by-step explanation:

In simplest radicle form, the length of the third side = 9 units.

Given,

Side A = 7 units.

Side B = 4√2 units.

To find Side C, we use the Pythagorean formula,

a² = b² + c²

7² = \(4\sqrt{2}^{2}\) + c²  

c² = 49 + 32

c² = 81

√c² = √81

c = -9,9.

c ≠ -9 as negative values are not considered for dimensions.

Hence, the length of the third side is 9 units.

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Your question is incomplete. The complete question is:

With reference to the figure below,  find the length of the third side. If necessary, write in the simplest radical form.

Step-by-step explanation:

How was Toto an expensive deal for grandfather? Do you think it

was a lesson for grandfather?

Step-by-step explanation:

I hope this answer is helpful ):