34,992 ÷81 =
Enter your answer in the box.

5 more than a number is greater or equal to 27

The "number" can be represented as x.

\(\boxed{x+5\geq 27}\)

The answer is 14.

We can divide this into cases.

Consider the situation in which all three plants are illuminated by the same color lamp. Either all three plants are illuminated by the same light, both basil plants are illuminated by one lamp and the aloe plant is illuminated by the other, or the aloe plant and one basil plant are illuminated by one lamp and the other basil plant is illuminated by the other. This scenario provides us three options for each lamp color, for a total of six options.

Consider the situation in which the aloe plant is exposed to a different hue of lamp than the two basil plants. Because the two lights of the same hue that the aloe plant can be placed under are similar, it makes no difference which one the aloe plant is placed under. The basil plants can be placed under the same lamp or under separate lamps. This scenario provides us two options when the aloe is placed under a white lamp and two options when the aloe is placed under a red lamp, for a total of four options.

Finally, examine the scenario in which the basil plants are each lit by a different colored lamp. For a total of four options, the aloe plant can be placed under the same white lamp as a basil plant, the same red lamp as a basil plant, a different white lamp from the basil plant, or a different red lamp from the basil plant.

In all, there are 6+4+4=14 possibilities.

What is probability?

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Answer:

3.333333

Step-by-step explanation:

4x-x=3+7

3x=10

x=3.33333

Answer:

90

Step-by-step explanation:

As the angle measures 90 degree, its supplement should also equal 90 degree.

Answer:

dependent

Step-by-step explanation:

Answer:

  £172.29

Step-by-step explanation:

You want the compound interest a loan accumulates after 3 more years when the amount owed in 2004 was £637.88 and in 2009 was £863.75.

The formula for an amount subject to annually compounded interest is ...

  A = P(1 +r)^t

where P is the principal amount, r is the interest rate, and t is the number of years.

We can find the value of (1+r) from ...

  863.75 = 637.88(1 +r)^(2009 -2004)

  (1 +r) = (863.75/637.88)^(1/5)

Then the amount owed after 3 more years will be ...

  A = 863.75(1 +r)^3

This amount includes the initial value of 863.75, so the increase is ...

  863.75(1 +r)^3 -863.75 = 863.75((1 +r)^3 -1)

  = 863.75(((863.75/637.88)^(1/5))^3 -1) ≈ 172.29

The loan gathered an additional £172.29 in interest over the next 3 years.

__

Additional comment

We don't really need to know the initial loan value or the number of years prior to 2004 for which interest was accumulated. As a byproduct of the intermediate result (1+r) we computed, we learned the interest rate is about 6.25%. Since we used the exact ratio of account values, this number, too, is irrelevant.

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Answer:

18

Step-by-step explanation:

t = Number of trucks counted

c = Number of cars

Ratio of trucks to cars = \(\dfrac{t}{c}=\dfrac{3}{8}\)

Total number of cars and truck = 66

\(t+c=66\)

Divide the left and right side by the number of cars

\(\dfrac{t+c}{c}=\dfrac{66}{c}\\\Rightarrow \dfrac{t}{c}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{3}{8}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{11}{8}=\dfrac{66}{c}\\\Rightarrow c=66\times \dfrac{8}{11}\\\Rightarrow c=48\)

Total number of cars is 48

so

\(t=66-c\\\Rightarrow t=66-48\\\Rightarrow t=18\)

Total number of trucks counted is 18.

1.0, 3.5, 5, 6.5, 10 are the 5 number summary of the given table.

How do you find the 5 number summary?

When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values. Finding the smallest data value (minimum), the 25th percentile (Q1 - the first quartile), the median (25th percentile, Q2, the second quartile), the 75th percentile (Q3 - the third quartile), and the highest data value will yield the data set's five-number summary (maximum). The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half.

Smallest value = 1.0

Median of the first half data Q1 = 3.5

Median Q2= 5.0

Median of the second half data Q3 = 6.5

Largest number = 10.0

The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.

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Answer:

C.) The Republicans were using the McCarthy hearings for political gain.

I hope I helped! ^-^

Answer:

The Republicans were using the McCarthy hearings for political gain.

Step-by-step explanation:

I got it right on the test.

After five months, the percentage decrease in the daylight is 51.815%

As per the question, On the first day of June, there was 16.81 hours of daylight in a city and five months later, there was 8.10 hours of daylight. We are supposed to find the percent decrease in the daylight.

Percentage increases or decreases are calculated by setting the problem up proportionally.

We are trying to calculate at what percentage of 16.81 is 8.10 first

Let "x" be the percentage required percentage

therefore \(\frac{x}{100} =\frac{8.10}{16.81}\)

\(x = \frac{8.10*100}{16.81} \\x=\frac{810}{16.81} \\x=48.185%\)

8.10 is approximately 48.185% of 16.81.

So the percentage decrease is \(100 - 48.185=51.815\)%

Hence the percentage decrease is 51.815%

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Answer:

guessing that the area of the inner rectangle is 10m²

and the other rectangle is 16m*10m= 160m²

we can say that

(16-x) * (10-x) = 10

for the area of the inner rectangle

let's calculate the lefthand side of the equation

160 - 16x -10x + x² = 10

160 -26x +x² = 10

subtract 10 on both sides

150 -26x +x² = 0

rearrange

x² -26x + 150 = 0

looks like something we can throw the pq formula on to solve for x

with p = -26 and q = 150

\(x = - \frac{ - 26}{2} \frac{ + }{ - } \sqrt{( \frac{ - 26}{2})^{2} - 150 } \)

\(x = 13 \frac{ + }{ - } \sqrt{169 - 150 } \)

\(x = 13 \frac{ + }{ - } \sqrt{19 } \)

\(x1 = 8.64\)

\(x2 =17.36 \)

we need to interpret this solutions

but to be sure on this, I need the unreadable text of the photographed problem

The difference between the outcomes when selected with or without replacement is B. 10 outcomes.

With Replacement:

When you select two coins with replacement, you put the first coin back in the jar before selecting the second coin. This means that there are 10 possibilities for each selection. So, the number of outcomes for selecting two coins with replacement is 10 x 10 = 100 outcomes.

Without Replacement:

When you select two coins without replacement, you don't put the first coin back in the jar before selecting the second coin. This means that after selecting the first coin, there are 9 coins left in the jar for the second selection. So, the number of outcomes for selecting two coins without replacement is 10 x 9 = 90 outcomes.

Difference = 100 outcomes - 90 outcomes

Difference = 10 outcomes

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To derive the demand function from the given utility function and endowment, we need to determine the optimal allocation of goods that maximizes utility. The utility function is U(x, y) = -e^(-x) - e^(-y), and the initial endowment is (1, 0).

To derive the demand function, we need to find the optimal allocation of goods x and y that maximizes the given utility function while satisfying the endowment constraint. We can start by setting up the consumer's problem as a utility maximization subject to the budget constraint. In this case, since there is no price information provided, we assume the goods are not priced and the consumer can freely allocate them.

The consumer's problem can be stated as follows:

Maximize U(x, y) = -e^(-x) - e^(-y) subject to x + y = 1.

To solve this problem, we can use the Lagrangian method. We construct the Lagrangian function L(x, y, λ) = -e^(-x) - e^(-y) + λ(1 - x - y), where λ is the Lagrange multiplier.

Taking partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we can find the values of x, y, and λ that satisfy the optimality conditions. Solving the equations, we find that x = 1/2, y = 1/2, and λ = 1. These values represent the optimal allocation of goods that maximizes utility given the endowment.

Therefore, the demand function derived from the utility function and endowment is x = 1/2 and y = 1/2. This indicates that the consumer will allocate half of the endowment to each good, resulting in an equal distribution.

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The mean of the data is: 67.1

The median is: 70.5

The mode is: 71

Given, 68, 79, 71, 52, 71, 54, 71, 81, 54, 70:

Mean = (68 + 79 + 71 + 52 + 71 + 54 + 71 + 81 + 54 + 70)/10

Mean = 671/10

Mean = 67.1

Median = (70 + 71)/2 = 70.5

Mode = 71

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The statistical relationship between two variables is stronger than 95% of the relationships we would expect to see just by chance.

Statistical relationship:

Statistical relationship defines that  if a change in one variable (X) results in a systematic increase in another (Y).

Given,

A statistical relationship between two variables is considered statistically significant.

Here we need to find if it is stronger than what percent of relationships we'd expect to see by chance.

While we looking into the given question we know that the statistical relationship is stronger then the percent of relationships we'd expect to see by chance is 95%.

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Answer: maybe the answer is 4 miles sorry if I got it wrong hope it helps :/

Step-by-step explanation:

Answer:

a = 3

Step-by-step explanation:

Factor both expressions

x² - x - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)

The factors are - 3 and + 2 , since

- 3 × 2 = - 6 and - 3 + 2 = - 1 , thus

x² - x - 6 = (x - 3)(x + 2)

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

x² + 3x - 18

consider factors of constant term (- 18) which sum to give the coefficient of the x- term (+ 3)

The factors are + 6 and - 3 , since

6 × - 3 = - 18 and 6 - 3 = + 3 , thus

x² + 3x - 18 = (x + 6)(x - 3)

Both expressions have a common factor of (x - 3)

Compare with (x - a ), then a = 3

Poorly-graded gravel or gravel mixed with sand provides **poor to fair** strength and **poor** drainage characteristics while its potential to frost action is **very low**.

Here's a step-by-step explanation of the answer:

1. Poorly-graded gravel refers to gravel that contains a wide range of particle sizes, resulting in a less uniform material. Gravel mixed with sand refers to a combination of gravel and sand particles.

2. Strength refers to the ability of a material to withstand external forces without breaking or deforming. In the case of poorly-graded gravel or gravel mixed with sand, the strength is **poor to fair**. This means that the material may not be as strong as desired and may have limited load-bearing capacity.

3. Drainage characteristics refer to how well a material allows water to pass through it. Poorly-graded gravel or gravel mixed with sand has **poor** drainage characteristics. This means that the material may retain water and have difficulty draining properly, which can lead to issues such as water pooling or erosion.

4. Frost action refers to the damaging effects of freezing and thawing cycles on a material. The potential for frost action in poorly-graded gravel or gravel mixed with sand is **very low**. This means that the material is less susceptible to damage caused by freezing and thawing, which is beneficial in areas with cold climates.

In conclusion, poorly-graded gravel or gravel mixed with sand provides poor to fair strength and poor drainage characteristics, while its potential to frost action is very low.

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Answer:

(-7/8)

Step-by-step explanation:

the line is  -7x -8y =12

its slope = -(-7/-8)= -7/8

it passes through P(-3, 1)

(y-1)=(-7/8)(x+3)

y-1 = (-7/8)x - 21/8

y = (-7/8)x -13/8

Answer:

56

Step-by-step explanation:

You need to divide 20/16 and 70*z to find the missing length.

Answer: 500 feet

Step-by-step explanation:

Answer:

$10.50

Step-by-step explanation:

multiple $1.75 by 4, equals $7.

then add $3.50 to $7, equals $10.50.

That is how much it costs for five hours.

Answer:

Solving for x or finding out what the value of x is.

Step-by-step explanation:

Plz give brainliest

Answer:

y=3x+3

Step-by-step explanation:

3x-y=-3

-y=-3x-3

y=3x+3

Answer:

first blank: 3

second blank: 4

Step-by-step explanation:

The completed equation should say:

y = -3x + 4

This is slope-intercept form of the equation. It's a fill-in-the-blank equation. You put the slope in the first blank and the y-intercept in the second blank. Your math program put the negative sign in and it does need to be there. To find the slope, look at the points on the line. To get from one point to the next you go DOWN3 and over 1. DOWN3 and OVER1 is the slope -3/1, which is -3. This number goes beside (in front of) the x. The line crosses the y-axis at 4, fill that in at the end of the equation (the second blank).

The equation for the line is

y = -3x + 4

Answer:

width x length

Step-by-step explanation:

To find the area of a rectangle you always do the equation width times length

Answer:

-1.67 is what I got

Step-by-step explanation:

solved it

The value of f(7) is -1.73 for the function  f(x)=3/(x+2)-√x-3.

Two or more expressions with an Equal sign is called as Equation.

A relation is a function if it has only One y-value for each x-value.

The given function is f(x)=3/(x+2)-√x-3

We need to find the value of f(7)

Replace x with 7 in the given function.

f(7)=3/7+2 - √7-3

f(7)=3/11-√4

=3/11-2

=3-22/11

=-19/11

=-1.73

Hence, the value of f(7) is -1.73 for the function  f(x)=3/(x+2)-√x-3.

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If you select 25 in the Top Values list, Access displays the top 25 records in the query results.

Queries are excellent tools in Microsoft Excel to show information from related tables in a single result set, as the results that you pull from queries aren’t limited to a single table.

The way to create a simple query using the wizard is as follows;

Now, If you select 25 in the top values list, access displays the top 25 records in the query results.

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