5 points


You need to change a blown outdoor lightbulb on your house. The bulb is 5m up, but you have a 1m reach when you are on the top rung of the ladder. If you need 3m of


space off the house for the ladder's base for stability, what is the minimum height of the ladder in meters?

Answer:

Mrs. Henderson's class has the greater ratio of boys to students

Answer:

q = 3+1/2 r

Step-by-step explanation:

10q -5r = 30

Add 5r to each side

10q -5r+5r = 30+5r

10q = 30 +5r

Divide by 10

10q/10 = 30/10 +5r/10

q = 3+1/2 r

Answer:

48 Square Centimeters

Step-by-step explanation:

The red triangular exterior pieces are all equilateral triangles with some side length.

We don't need to know what that side length is. It doesn't matter.

The area of one red equilateral triangle is some area A.

There are 6 of these red triangles, so the red exterior triangular parts combine to a total area of 6*A.

The hexagon is composed of equilateral triangles as well.

Each of these blue equilateral triangles is congruent to any outer red triangle because the side length is the same.

Therefore, the 6 blue equilateral triangles composing this hexagon combine to get a total area of 6*A

The area of the star overall is 12*A because we have 6 blue triangles combining with the 6 red triangles.

There is a total of 12 triangles.

Answer:

Alvin's Age is 81 and Elga's age is 27

Step-by-step explanation:

let A be Alvin's age and E be Elga's age

A = 3 E (alvin's age is three times elga's age)

A + E = 108 ( the sum of their ages is 108)

3E + E = 108

4 E = 108

E= 108/4 = 27

A = 3E = 27*3 = 81

⭐ Let the Alvin's age be "a" and the Elga's age be "e".

⭐ If we carefully identify the question, we can get two hints provided in the question which can be framed into equations. They are,

(Alvin's age is 3 times the age of Elga's age)

(The sum of Alvin's and Elga's age is 108)

Substituting value of A i.e (A = 3E) in eqn (2) so as to get same variable and solve the eqn.

\(\Rrightarrow\bf{a + e = 108}\)

\(\Rrightarrow\bf{3e + e = 108}\)

\(\Rrightarrow\bf{4e = 108}\)

\(\Rrightarrow\bf{e = \frac{108}{4} }\)

\(\Rrightarrow\bf{e = 27}\)

Substituting value of (e = 27) in eqn (1),

\(\Rrightarrow\bf{a = 3e}\)

\(\Rrightarrow\bf{a = 3 \times 27}\)

\(\Rrightarrow\bf{a = 81}\)

Answer:

264000 feet/hour

Step-by-step explanation:

1 mile = 5280 feet

5280 * 50 = 264000

50 miles/hour = 264000 feet/hour

Answer:

okay so IM not 100 percent sure but I think its 64 = 92

Answer:

B- 2

Step-by-step explanation:

Well since the answer got deleted. I'm just going to copy and paste my comment from earlier.

you simply plug in the x's in. Since someone already answers, I'll have to answer in the comment.s (2)^2-2+4 = 6 and (4)^2-4+4= 8. So the average rate of change is 2. B. ;) hope that helps

Answer: y= mx+b form

Answer:3

Step-by-step explanation:

9x3=27

Answer:

307.72

Step-by-step explanation:

S=2nr²

S=2×3.14×7²

S=307.72

To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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Given the expression:

You know that the parentheses group the operations. In this case, it indicates that you must add 2 and 5, subtract 2 from 4, and then multiply the results, which gives you this value:

Since the value you need to obtain is 12, you need to order the operations in this form using parentheses:

Notice that you get:

Hence, the answer is:

Answer:

pi

Step-by-step explanation:

First find the area of a full circle with radius 2

A = pi r^2

A = pi 2^2

A = 4 pi

We know that this is 1/4 of a circle so take 1/4 of the area

1/4 A = 1/4 (4 pi) = pi

Answer:

3*4 is 12, 12*4 is 48, 48*4 is 192, so the answer is 192

If m=6, then 3×6= 18.

43-18=25

Your answer is 25.

Step-by-step explanation:

Can I have brainly please!

EVALUATE EXPRESSION

Step-by-step explanation:

43-3m=??             if m=6

substitute

43-3 * 6= 25

The expression 2a^2 - 4b - 4a(b-a) = -44 when a=4 and b=7. and 72a^2 - 4b - 4a(b - a) = 1076 when a=4 and b=7.

For a=4 and b=7, we have the following solutions of the expression (a)

2a^2 - 4b - 4a(b-a) = 2(4)^2 - 4(7) - 4(4)(7-4)

= 2(16) - 4(7) - 4(4)(3)

= 32 - 28 - 48

= -44

Therefore, 2a^2 - 4b - 4a(b-a) = -44 when a=4 and b=7.

Similarly,we have the following solutions of the expression (b)

72a^2 - 4b - 4a(b - a) = 72(4)^2 - 4(7) - 4(4)(7-4)

= 72(16) - 28 - 48

= 1152 - 76

= 1076

Therefore, 72a^2 - 4b - 4a(b - a) = 1076 when a=4 and b=7.

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The partial derivative of the utility function \(U(x_1, x_2)\) with respect to \(x_1\) is \(a * x_1^{(a-1)} * x_2^{(1-a)}\), and the partial derivative with respect to \(x_2\) is \((1-a) * x_1^a * x_2^{(-a)}.\)

The utility function  \(U(x_1, x_2)\) represents a consumer's satisfaction or preference for two consumption goods, \(x_1\) and \(x_2\). The partial derivatives provide insights into how the utility function changes as we vary the quantities of the goods.

To calculate the partial derivative with respect to \(x_1\), we differentiate the utility function with respect to \(x_1\) while treating \(x_2\) as a constant. The result is \(a * x_1^{(a-1)} * x_2^{(1-a)}\). This derivative captures the impact of changes in \(x_1\) on the overall utility, taking into account the relative importance of \(x_1\)(determined by the parameter a) and the quantity of \(x_2\).

Similarly, to find the partial derivative with respect to \(x_2\), we differentiate the utility function with respect to \(x_2\) while treating \(x_1\)as a constant. The resulting derivative is \((1-a) * x_1^a * x_2^{(-a)}.\). This derivative shows how changes in \(x_2\) affect the overall utility, considering the relative weight of \(x_2\) (given by 1-a) and the quantity of \(x_1\).

In summary, the partial derivatives provide information about the sensitivity of the utility function to changes in the quantities of the consumption goods, allowing us to understand the consumer's preferences and decision-making.

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Answer: x³+8x²+11x-20

Step-by-step explanation:

To find which polynomial has the roots of -5, -4, and 1, we want to first put them into an equation.

-5 is the same as x+5=0

-4 is the same as x+4=0

1 is the same as x-1=0

Now that we have the factors, we can multiply them together.

(x+5)(x+4)(x-1)                  [FOIL]

(x²+4x+5x+20)(x-1)          [combine like terms]

(x²+9x+20)(x-1)                 [FOIL]

x³-x²+9x²-9x+20x-20       [combine like terms]

x³+8x²+11x-20

Therefore, x³+8x²+11x-20 is the correct polynomial with those roots.

Answer:

Nearest thousands= 9.173

Nearest hundreds = 9.17

In a survey of 1207 American men about their current cigarette smoking habits, the population, sample, parameter, and statistic can be defined as follows:

The population in this survey refers to the entire group of interest, which in this case is all American men. It is the larger group from which the sample is drawn.

The sample is a subset of the population, consisting of the 1207 American men who were surveyed about their current cigarette smoking habits. The sample is selected from the population to gather information and make inferences about the population as a whole.

The parameter is a numerical characteristic of the population. In this case, the parameter would be the proportion of all American men who currently smoke cigarettes.

The statistic, on the other hand, is a numerical characteristic of the sample. It is calculated from the data collected in the survey and provides an estimate or summary of the population parameter.

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Mu X is a statistical concept used to measure the difference between two means.

It is calculated by subtracting the mean of one group from the mean of another group. Mu X is often used to compare the means of two or more groups, or to compare the means of two subgroups within a group. It can also be used to measure the relative size of a group's mean compared to the grand mean or the size of a group's mean compared to the mean of another group. Mu X is a useful tool for distinguishing between true and false differences between two means. It is also useful for understanding the relative importance of different factors in a study. Mu X is sometimes referred to as the difference in means or the mean difference, and it is an important concept in inferential statistics.

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Answer:

5 11/12 water

Step-by-step explanation:

Answer:

Step-by-step explanation 511/12

So, the formula that we're going to use is:

Compound interest

A = P(1 + r/n)ⁿˣ

Where

A = amount

P = principal = $100

r = rate = 8% = 8 / 100 = 0.08

x = time

In this case, n=4 since it is being compounded quarterly, so:

The answer is $126.82.

Answer:

38

Step-by-step explanation:

Find the values of each function.

f(-9)= 4

g(6)=6

Then plug them in.

-1 x 4 + 7 x 6

-4+42

38!

Answer:

x2 + x = 42

Step-by-step explanation:

x = nhmber

x² = its square

then:

The sum of a number and its square is 42 is:

x² + x = 42

Answer:

4/9 = 0.(4)

Step-by-step explanation:

Hi there !

4/9 we can write it like 0.(4) repeating decimal

Good luck !

Answer:

Yes, the ratios of miles to minutes are equivalent.

Step-by-step explanation:

(miles) / (minutes)

Milla: 3 / 21 = 1 / 7

Fatima: 5 / 35 = 1 / 7

1 / 7 is equal to 1 / 7

Hey there!

3:21

= 3 ÷ 3 : 21 ÷ 3

= 1:7

3:21 = 1:7

5:35

= 5 ÷ 5 : 35 ÷ 5

= 1:7

5:35 = 1:7

Thus, ratios are probably equivalent to:

1:7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

18x0.20 = 3.6 18-3.6 = 14.4

anwser- $14.40

Step-by-step explanation:

18 is the original price of the shirt, and 20% is the discount. You can write the discount as 0.20 because it is the same as 20/100. To get the discount you have to multiply the original price and the discount, 18x0.20, 3.6. 3.6 is the discount price which means, it is not the final price because it only is 20% of 18. To check, multiply 3.6 by 5 becuse  100%= 1  and 5 times 0.2 equals to 100% (1). 3.6 x5 = 18. To get the final price, subtract 3.6 from 18 so the  dicount  can be added to the  final price. Hope this helps :)

Answer:

18.00

Step-by-step explanation:

18.00x 0.18=3.24

The inequality that represents the number of hours Maria must work is:

t ≥ 42.

An algebraic expression that has two values that are not equal is represented as an inequality in mathematics. One of the two variables on the two sides of the inequality can be represented by an inequality sign as greater than, greater than or equal to, less than, or equal to another value.

Let's examine the details provided in the issue:

Maria is paid a fixed hourly rate of $6.75.

Maria receives tips an average of $120 every week.

Maria's set hourly rate and tips make up her weekly take-home pay.

Start by applying the formula below to calculate the inequality that indicates the amount of hours Maria needs put in to make at least $400 for the week.

Fixed Hourly Pay x Number of Hours Working + Tips = Total Earnings

Let t be the quantity of hours that Maria needs to put in to make at least $400 in a week. The inequality can therefore be expressed as follows:

Total Earnings = Fixed Hourly Pay x Hours Worked + Tips

Swapping the values from the issue results in:

$6.75t + $120 ≥ $400

In order to simplify this inequality, we can take $120 away from each side:

$6.75t ≥ $280

Eventually, we arrive at: by multiplying both sides by $6.75.

t ≥ 41.48

Maria is unable to work even a quarter of an hour, so the response is:

To make at least $400 for the week, Maria has to work 42 hours (rounded up from 41.48 hours).

As a result, the inequality that depicts the quantity of hours Maria must labour is as follows:

t ≥ 42.

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According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

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