what is 40 times 8 minus 10 to the power of 2

the one on the left is (2,2) the one on the right is (8,2)

Answer:

45, 60, 75

Difference between the largest and smallest angles

75 - 40 = 35

Step-by-step explanation:

First solve for x.  The sum of the interior angles of a triangle is 180

3x + 4x + 5x =180  Combine like terms

12x + 180  Divide both sides by 12

\(\frac{12x}{12}\) = \(\frac{180}{12}\)

x = 15

3x = 3(15) = 45

4x = 4(14) = 60

5x  = 5(15) = 75

Step-by-step explanation:

please, burn this into your brain for life :

the sum of all angles in a triangle is always (yes, no exceptions) 180°.

so,

3x + 4x + 5x = 180

12x = 180

x = 180/12 = 15

3x = 3×15 = 45°

4x = 4×15 = 60°

5x = 5×15 = 75°

the difference between largest and smallest angle is therefore

75 - 45 = 30°

The subdivider has to get the deposit back to Max within 30 days.

A deposit is an amount of money paid to a vendor or a seller to secure goods or services. A deposit is a partial payment made to a business in advance of a larger purchase or delivery.

A subdivision is a housing development built on a portion of land that has been divided into multiple lots. The subdivider divides a large piece of land into smaller plots and sells each lot to individuals who are looking to build their own homes, thus creating a subdivision.

Max can get his deposit back within 30 days. This is because the subdivider has to refund the deposit within 30 days if the buyer cancels the reservation of the plot due to any reason, including the delay that the subdivider has experienced.

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Answer:

Step-by-step explanation:

a+4/5=11/2

 -4/5.   -4/5

_____.  _____

a= 11/2 *5/5. = 55/10

     -4/5 * 2/2.  -8/10

 ______________

a= 47/10

Answer:

Step-by-step explanation:

(2-4x)+(2-4x)+(-2x+8)=12-10x

The ∆H for the combustion of one mole of ethoxy ethane is approximately -2943.7 kJ/mol.

The balanced combustion equation for ethoxy ethane is as follows:

C₄H₁₀O + 6.5O₂ → 4CO₂ + 5H₂O

Now, let's calculate the ∆H for the combustion reaction using the given standard enthalpy of formation (∆Hf) of ethoxy ethane (-59.3 kJ/mol) and the standard enthalpies of formation for the products:

∆H = [∑∆Hºf(products)] - [∑∆Hºf(reactants)]

∆H = [∑∆Hºf(CO₂) + ∑∆Hºf(H₂O)] - [∆Hºf(ethoxy ethane) + ∑∆Hºf(O₂)]

Using the standard enthalpies of formation (∆Hºf) values:

∆H = [4(-393.5 kJ/mol) + 5(-241.8 kJ/mol)] - [(-59.3 kJ/mol) + 0]

∆H = [-1574 kJ/mol - 1209 kJ/mol] - [-59.3 kJ/mol]

∆H = -2783 kJ/mol + 59.3 kJ/mol

∆H ≈ -2723.7 kJ/mol

Therefore, the ∆H for the combustion of one mole of ethoxy ethane is approximately -2943.7 kJ/mol.

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6.22 +1-1-1-2+4= 7.22

Answer:

6.22 +1-1-1-2+4= 7.22

Step-by-step explanation:

Answer:

Ruth will have bought 16 postcards

Step-by-step explanation:

2x8= 16

so u need to multiply 2 postcard x 8 vacation days = 16 postcards

( i hope this makes sense )

Answer:

19.0064

Step-by-step explanation:

If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.

So, the answer is:

a. MSwithin > MSbetween

If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

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Answer:

30.48 cm. in a foot, 91.44 in a yard

Step-by-step explanation:

2.54 x 12 (12 inches in a foot) is 30.48. 30.48 × 3 (3 feet in a yard) is 91.44

The approximate value of the triple integral is 29.6.

The given triple integral is:

∭e^(2z) dv

where the region e is bounded by the cylinder y^2 + z^2 = 16 and the planes x=0, y=4x, and z=0 in the first octant.

We can express the region e in terms of cylindrical coordinates as:

0 ≤ ρ ≤ 4sin(φ)

0 ≤ φ ≤ π/2

0 ≤ z ≤ sqrt(16 - ρ^2 sin^2(φ))

Note that the limits of integration for ρ and φ come from the equations y = 4x and y^2 + z^2 = 16, respectively.

Using these limits of integration, we can write the triple integral as:

∭e^(2z) dv = ∫[0,π/2]∫[0,4sin(φ)]∫[0,sqrt(16-ρ^2 sin^2(φ))] e^(2z) ρ dz dρ dφ

Evaluating the innermost integral with respect to z, we get:

∫[0,sqrt(16-ρ^2 sin^2(φ))] e^(2z) dz = (1/2) (e^(2sqrt(16-ρ^2 sin^2(φ))) - 1)

Using this result, we can write the triple integral as:

∭e^(2z) dv = (1/2) ∫[0,π/2]∫[0,4sin(φ)] (e^(2sqrt(16-ρ^2 sin^2(φ))) - 1) ρ dρ dφ

Evaluating the remaining integrals, we get:

∭e^(2z) dv = (1/2) ∫[0,π/2] (64/3) (e^(2sqrt(16-16sin^2(φ))) - 1) dφ

Simplifying this expression, we get:

∭e^(2z) dv = (32/3) ∫[0,π/2] (e^(8cos^2(φ)) - 1) dφ

This integral does not have a closed-form solution in terms of elementary functions, so we must use numerical methods to evaluate it. Using a numerical integration method such as Simpson's rule, we can approximate the value of the integral as:

∭e^(2z) dv ≈ 29.6

Therefore, the approximate value of the triple integral is 29.6.

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Answer:

4.2

Step-by-step explanation:

Four and one-sixth is equal to 4.2. One-sixth is the same as 1/6, which is equal to 0.16666666666666666. When you add this fraction to 4, you get 4.166666666666667, which can be rounded to 4.2. Four and sixteen hundredths is equal to 4.16, which is close to 4.2 but not exactly the same. Six twenty-fifths is equal to 0.24, which is also not equal to 4.2. 416% is equal to 4.16, which is also not equal to 4.2.

Answer:

The set of points that lie in the mix of the shaded colors are the solutions to the inequalities.

Those points are,

(0,-6)

(-14,-15)

(-9,-10)

Answer:

Hey girly the answer is def 0,12 xoxoxo ;)

Carla's behavior of putting in extra practices to become faster can be seen as an example of (Option A.) compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

Carla's behavior of putting in extra practices to become faster can be seen as an example of compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

By engaging in extra practices, Carla is attempting to compensate for her lack of speed and improve her performance. This is different from rationalization, which is the act of making excuses for one's behavior, or from regression, which is the act of reverting to a younger age in response to a stressful situation.

Finally, displacement is the act of redirecting one's emotions or anger onto another person or object.

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Answer:

\(n=78\)

Step-by-step explanation:

Step - \(b \times y - s\) step explanations

\(2n + 1 = 157\)

\(2n = 157 - 1\)

\(2n = 156\)

\(n = 156\div2\)

\(\bold{n = 78}\)

The correct equation is \(P = 2.5w\) .

The average cost is the ratio of the total of cost of all the products to the total number of products.

The general form of the cost function formula is C(x)=F+V(x) C ( x ) = F + V ( x ) , where F is the total fixed costs, V is the variable cost, x is the number of units, and C(x) is the total production cost.

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

An equation says that two things are equal. It will have an equals sign "=" .

A 12-ounce box of cereal costs $4.80.

The price be 'P' and weight be 'w'.

$4.80 is the price of box with weight 12-ounce

i.e. 4.80P = 12w

Divide both side by 4.80

\(\frac{4.80P}{4.80} = \frac{12w}{4.80}\)

\(P = 2.5w\)

Therefore, the correct equation is \(P = 2.5w\) .

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The distribution is unimodal.

In statistics, a unimodal distribution refers to a distribution that has a single peak or mode. It means that when the data is plotted on a graph, there is one value or range of values that occurs more frequently than any other value or range of values.

To understand this concept, let's consider an example. Suppose we have a dataset representing the heights of a group of people. If the distribution of heights is unimodal, it means that there is one height value or range of heights that occurs most frequently. For instance, if the peak of the distribution is around 170 centimeters, it suggests that a large number of individuals in the group have a height close to 170 centimeters.

On the other hand, if the distribution is not unimodal, it could be multimodal or have no clear peak. In a multimodal distribution, there would be multiple peaks or modes, indicating that there are distinct groups or clusters within the data with different dominant values. In a distribution with no clear peak, the values might be more evenly distributed without a prominent mode.

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8) a) The new fastest time is 56.7 seconds, b) The overall percentage improvement is 19 %.

9) The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

In this problem we have two examples from real life, in which percentages are used. The first is the distance traveled by a runner in a given time and the second is the growth of a person in time. Change in variables based on percentages are described by the following formula:

C' = C · (1 + r / 100)     (1)

Where:

Now we proceed to resolve on each case. 8) a) Please notice that the runner must cover the trail in less time and percentage time must be negative. If we know that C = 70 and r = - 10, then his new fastest time is:

C' = 70 · (1 - 10 / 100)

C' = 70 · 0.90

C' = 63

And again: (C' = 63, r = - 10)

C'' = 63 · (1 - 10 / 100)

C'' = 63 · 0.90

C'' = 56.7

The new fastest time is 56.7 seconds.

b) And the overall percentage improvement is:

r = (|C'' - C| / C) × 100 %

r = (|56.7 - 70| / 70) × 100 %

r = 19 %

The overall percentage improvement is 19 %.

9) If we know that C = 1.25 and r = 10, then the height next year is:

C' = 1.25 · (1 + 10 / 100)

C' = 1.375

And again: (C' = 1.375, r = 12)

C'' = 1.375 · (1 + 12 / 100)

C'' = 1.54

The height after the first increase is 1.375 meters and after the second increase is 1.54 meters.

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Solution

Question 1:

Question 2:

Final Answer

Question 1:

The exponential function to model the scenario is

Question 2:

The number of rabbits that will hop out of the hat on the 13th Day is 12,288 rabbits

=========================================================

Explanation:

Draw two parallel number lines as shown in the diagram below. Make sure the numbers line up.

The first number line has the interval [0,7] which is the same as writing 0 ≤ x ≤ 7

We have closed circles at 0 and 7. Then there's shading in between those endpoints.

Similarly, the other interval [-2, 5] represents -2 ≤ x ≤ 5. It has shading between the closed circles at -2 and 5.

The red dashed lines represent the portions where the two number lines overlap. This is from x = 0 to x = 5

The sub-interval 0 ≤ x ≤ 5 is found in both domains, and hence it's the domain of f+g

That turns into the interval notation of [0, 5]

The number of 6-card hands  in which at least one card from each suit is equal to 8,184,220.

Total number of 6-card hands that can be formed from a deck of 60 cards is,

Using combination formula,

C(60, 6) = 50,063,860

Now, subtract the number of 6-card hands that do not contain at least one card from each suit.

There are 5 ways to choose the suit that will be missing from the hand.

Once this suit is chosen, there are 48 cards remaining in the other suits.

Choose 6 cards from this set, so the number of 6-card hands that do not contain any cards from the chosen suit is,

C(48, 6) = 12,271,512

Overcounted the number of hands that are missing more than one suit.

There are C(5, 2) ways to choose 2 suits that will be missing from the hand.

Once these suits are chosen, there are 36 cards remaining in the other 3 suits.

Choose 6 cards from this set, so the number of 6-card hands that do not contain any cards from the chosen suits is,

C(36, 6) = 1,947,792

We cannot have a 6-card hand that is missing more than 2 suits.

3 suits with no cards in the hand, which is not allowed.

Number of 6-card hands that have at least one card from each suit is,

C(60, 6) - 5×C(48, 6) + C(5, 2)×C(36, 6)

=50,063,860 - 5×  12,271,512 + 10 × 1,947,792

= 50,063,860 -61,357,560 + 19,477,920

= 8,184,220

Therefore, there are 8,184,220 of 6-card hands that have at least one card from each suit.

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Number of lollipops in the bag are 36.31 lollipops.

It is a number between 0 and 1 that describes the likelihood of a specific outcome, with 0 indicating that an event will not occur and 1 indicating that an event will certainly occur.

A probability of 0.5, for example, indicates that an event has a 50% chance of occurring. A probability of 0.2 indicates that an event has a 20% chance of occurring, and so on.

Probability can be expressed in several ways:

as a percentage, between 0% and 100%

as a ratio, such as 1:4

There are two types of probability:

Probability theory provides a framework for modeling various phenomena in the natural and social sciences, as well as in engineering and computer science. It is used in many fields such as finance, economics, statistics, and weather forecasting.

We know that the lollipops are 18.95 - 31% - 33% = 18.95 - .31 - .33 = 18.95 - .64 = 18.31 lollipops in the bag that are not apple flavored.

So 18.31 lollipops + 18 apple flavored lollipops = 18 + 18.31 = 36.31 lollipops in the bag.

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Answer:

true

Step-by-step explanation:

because there's less humidity

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158