How far up a wall will an 11-meter ladder reach, if the foot of the ladder is 4 meters away from the base of the wall?
A. 11 m
B. 4 m
C.
D.

Answer:

2097150

Step-by-step explanation:

GIVEN :-

TO FIND :-

CONCEPT TO BE USED IN THIS QUESTION :-

Geometric Progression :-

[NOTE :- \(\frac{a(1-r^n)}{1-r}\) can also be the formula for "Sum of n terms of G.P." because if you put 'r' there (assuming r > 0) you'll get negative value in both the numerator &  denominator from which the negative sign will get cancelled from the numerator & denominator. YOU'LL BE GETTING THE SAME VALUE FROM BOTH THE FORMULAES.]

SOLUTION :-

Let the first term of the G.P. given in the question be 'a' and the common ratio between successive terms be 'r'.

⇒ a = 6

It's given that forth term is 384. So from "General form of G.P." , it can be stated that :-

\(=> ar^3 = 384\)

\(=> 6r^3 = 384\)

Divide both the sides by 6.

\(=> \frac{6r^3}{6} = \frac{384}{6}\)

\(=> r^3 = 64\)

\(=> r = \sqrt[3]{64} = 4\)

Sum of first 10 terms \(= \frac{6(4^{10}-1)}{4 - 1}\)

                                     \(= \frac{6(1048576 - 1)}{3}\)

                                     \(= 2 \times 1048575\)

                                     \(= 2097150\)

Answer:

D. 29

Step-by-step explanation:

just did the test and got it correct. Edmentum, Plato.

Answer:

19.25 km

Step-by-step explanation:

7 days = 1 week

1 day = 2.75 km

7 days = ?

Then you cross multiply.

Therefore: 7×2.75/1

19.25/1

Answer: 19.25 km

Answer:

Yz=12 cm

m<Y=26

Step-by-step explanation:

angle Z is congruent to angle X. Angle z also corresponds to side XY, which is 12cm. This means that side YZ (corresponds to angle x) is 12 cm.

77+77+x=180

154+x=180

x=26

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

x^2 + 2x - 1

Step-by-step explanation:

g(x)=(x+1)2−2 would be a quadratic if you'd write it like this:  g(x)=(x+1)^2−2.

This expands to g(x) = x^2 + 2x + 1 - 2  =  x^2 + 2x - 1

Answer:

Shift f(x) = 3x one unit to the left and four units up

Step-by-step explanation:

We need to translate :

Here we need to use a bit of logic.

Answer:

Shift f(x) = 3x one unit to the left and four units up

Step-by-step explanation:

put it on test

Answer:

56 baseball's

Step-by-step explanation:

The number of baseballs were pitched to Chad in 8 minutes is 56.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Given that, the pitching machines pitch baseballs at a rate of 35 pitches in 5 minutes.

Number of pitches hit in 1 minute = 35/5

= 7

Chad practiced hitting for 8 minutes.

So, the number of baseballs were pitched = 7×8

= 56

Hence, the number of baseballs were pitched to Chad in 8 minutes is 56.

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Answer:

-7,-9,-10,-14,-19,-25,-22

Answer:

The other angle is 63 if it is asking what I think it is asking

Step-by-step explanation:

If it is right can you mark brainliest

Answer:

63 or 72

Step-by-step explanation:

To solve the equation 7x, we need to clarify the specific goal or condition. If we are looking for the value of x that makes the equation equal to a specific number, such as 0, the solution would be x = 0. However, if we are solving for x in terms of another variable or in an equation with more components, further information is needed to provide a meaningful answer.

The equation 7x represents a linear equation in one variable, where 7 is the coefficient of x. If we are solving for x in an equation of this form, we need an additional equation or condition to determine a unique solution. Without any further information or constraints, the equation 7x does not have a specific solution.

To provide a more comprehensive explanation, let's consider an example. Suppose we have the equation 7x = 21. To solve for x, we divide both sides of the equation by 7:

7x/7 = 21/7

x = 3

In this case, the value of x that satisfies the equation 7x = 21 is x = 3. We can substitute this value back into the equation to verify its correctness:

7(3) = 21

21 = 21

The equation holds true, confirming that x = 3 is the solution. However, without a specific condition or another equation to work with, the equation 7x on its own does not have a unique solution.

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The width of the rectangular walkway is 3 feet around.

The walkway has a uniform width around the rectangle.

Let the width of walkway be x

The total length of the garden and walkway will be (12+2x) feet

The total width of the walkway and garden would be (8+2x) feet

Area of the garden and the walkway together are 252 square

Let’s express this mathematically:

(8+2x)(12+2x) = 252

Let’s open the brackets;

96+ 16x+ 24x + 4x^2 = 252

4x^2 + 40x + 96 = 252

4x^2 + 40x + 96-252 = 0

4x^2 + 40x - 156 = 0

Let’s divide all through by 10. We have;

x^2 + 10x -39 = 0

X^2 +13x-3x-39 = 0

x(x + 13) -3(x+ 13) = 0

(x-3)(x + 13) = 0

x -3 = 0 or x + 13 = 0

x = 3 or -13

We ignore x = -13 since width cannot be negative in size

Therefore, the width of the rectangular walkway is 3 feet around.

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The point that should an open circle be drawn exists (0, 0).

The first equation in the system is f(x) = -x, for x < 0.  

This means when x=0, f(x) = f(0) = 0.

Since we have the inequality x<0, this means at the point (0, 0),

the point will be open and not filled in.

Therefore, the correct answer is option b) (0, 0).

The complete question is:

The function f(x) is to be graphed on a coordinate plane

At what point should an open circle be drawn?

a) (–1, 0)

b) (0, 0)

c) (0, 1)

d) (1, 0)

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Answer:

1,4, 2,8, and 3,12 are all equivalent

Plzzzzz give me Brainliest!!!!!  

Answer: x = - 4

Step-by-step explanation:

7-2x=1

PEMDAS

so add 7 to both sides

-2x=8

divide by -2 from both sides

x=-4

Answer:

x = -2

Step-by-step explanation:

Let's find the required value of x,

→ 7 - 2x = 11

→ -2x = 11 - 7

→ -2x = 4

→ x = -4/2

→ [ x = -2 ]

Therefore, the value of x is -2.

Answer:

$1,394.38

Step-by-step explanation:

557.75 feet x $2.50 = $1394.375

Answer:

11482.94

Step-by-step explanation:

You do 50*35

50*35 is 1750

then 1750 m to feet is 5741.47

so now we do 5741.47 * 2.5 (for the cost)

this is 11482.94

Meaning the total cost is $11,482.94

The adjustments may involve balancing the nutrient composition, addressing amino acid imbalances, increasing calcium and phosphorus levels, ensuring adequate sodium content, and considering different feed forms.

Based on the given information, the poultry layer ration contains the following ingredients:

- Maize: 612 g/kg

- Barley: 158 g/kg

- Molasses: 20 g/kg

- Cottonseed Meal: 100 g/kg

- Fish Meal: 100 g/kg

- Dicalcium Phosphate: 10 g/kg

The ration also provides the total requirements for various nutrients, such as metabolizable energy (ME), crude protein (CP), lysine (LYS), methionine (MET), phenylalanine (PHE), tryptophan (TRP), calcium (Ca), phosphorus (P), and sodium (Na).

The complaints regarding funny-looking and terrible-tasting eggs, along with a slight decrease in feed intake, suggest that there may be issues with the ration that are impacting egg quality and palatability. Based on this information, here are some possible explanations and recommendations:

1. Imbalanced Nutrient Composition: The nutrient content of the ration may be imbalanced, leading to poor egg quality and taste. It's important to ensure that the nutrient levels are appropriate for poultry layer production. A consultation with a poultry nutritionist or veterinarian would be beneficial to determine the correct nutrient ratios for the ration.

2. Inadequate Amino Acid Balance: The amino acid balance in the ration is crucial for egg production and quality. The levels of lysine (LYS), methionine (MET), phenylalanine (PHE), and tryptophan (TRP) should be carefully evaluated. Supplementing the ration with specific amino acids or adjusting the protein sources may help improve egg quality.

3. Insufficient Calcium and Phosphorus: Calcium and phosphorus are essential for eggshell formation. The provided ration appears to have low levels of calcium (Ca) and phosphorus (P), which can lead to weak or abnormal eggshells. Increasing the levels of these minerals, either by adjusting the ratio of existing ingredients or incorporating additional calcium and phosphorus sources, may help address this issue.

4. Sodium Imbalance: Sodium (Na) is required for various physiological functions, including egg production. However, the ration seems to have a low sodium content. Ensuring adequate sodium levels in the diet might help stimulate feed intake and improve overall performance.

5. Texture and Processing: The ration is described as a coarsely ground mash. The texture and processing of the feed can influence how well the birds consume and utilize the ration. It might be worth exploring different feed forms (e.g., pellets or crumbles) to improve intake and digestion.

Overall, to alleviate the reported issues with egg quality and palatability, it is recommended to consult with a poultry nutritionist or veterinarian to reformulate the ration. The adjustments may involve balancing the nutrient composition, addressing amino acid imbalances, increasing calcium and phosphorus levels, ensuring adequate sodium content, and considering different feed forms.

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Answer:

x(x-3)(x+1)

Step-by-step explanation:

Using the concept of inequality, it can be concluded that;

a) Maximum number of cargo boxes the forklift can carry is 16.

b) Maximum number of cargo boxes the forklift can carry when the carrying case is used is 14.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to contrast two numbers on the number line based on their sizes.

Let the no. of cargo box be x.

So the equation is 60x≤960

x≤960/60

x≤16

Now the 120 pound additional weight is needed so the equation is:

120 + 60x≤960

60x≤840

x≤14

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The probability of either of the two die landing on 4 is 1/36.

To calculate the probability of either of the two dice landing on 4 when rolling two regular dice, we need to determine the favorable outcomes and the total possible outcomes.

Favorable outcomes: There are three ways to get a 4 with two dice: (1, 3), (3, 1), and (2, 2).

Total possible outcomes: Each die has 6 sides, so there are 6 possible outcomes for the first die and 6 possible outcomes for the second die.

Therefore, the total possible outcomes are 6 x 6 = 36.

Probability = Favorable outcomes / Total possible outcomes

Probability = 1/6 x 1/6

Probability = 1/36

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The first step you have to follow is to find k(1) by replacing each x in k(x) for 1:

Now, find g(k(1)), it means, g(-7):

(g°k)(1)=573.

We can learn a lot about a population if we select a sample of it.

Selecting a representative sample is an important aspect of conducting research or making inferences about a population. Here's more information about the concept of a representative sample and its significance:

Definition: A representative sample is a subset of individuals or elements from a larger population that accurately reflects the characteristics, diversity, and distribution of the population. The goal is to obtain a sample that closely resembles the population in terms of relevant attributes or variables of interest.

Random sampling: The most common approach to achieving a representative sample is through random sampling. Random sampling involves randomly selecting individuals or elements from the population, ensuring that each member of the population has an equal chance of being included in the sample. This helps minimize bias and increase the likelihood of obtaining a representative sample.

Importance of representativeness: A representative sample is crucial because it allows researchers to generalize their findings from the sample to the larger population. When the sample is representative, the results obtained from studying the sample are likely to be applicable and valid for the population as a whole.

Avoiding sampling bias: Sampling bias occurs when the selected sample is not representative of the population, leading to inaccurate or skewed results. Various types of bias, such as selection bias or non-response bias, can compromise the representativeness of the sample. Efforts must be made to minimize or address these biases to ensure the sample accurately represents the population.

Statistical validity: The validity of statistical inferences, such as estimating population parameters or testing hypotheses, relies on the representativeness of the sample. A representative sample helps ensure that the results obtained from the sample accurately reflect the characteristics and behavior of the larger population, increasing the statistical validity of the findings.

Generalizability: The ultimate goal of using a representative sample is to make valid inferences and generalizations about the population. By studying the sample, researchers can gain insights, make predictions, and draw conclusions that can be applied to the broader population with a certain level of confidence.

In summary, selecting a representative sample is vital for accurate research and drawing valid conclusions about a population. It helps minimize bias, ensures statistical validity, and allows for generalizing findings to the larger population with greater confidence.

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The minimal amount of work the bird can expend to break open a whelk shell can be found by minimizing the function 27 + 1)hw(h) = -0.51.

To find the minimal value, we need to find the minimum value of the function w(h). Since no specific equation for w(h) is provided, we can assume that w(h) is a linear function of h.

Let's rewrite the given equation in a more simplified form:

w(h) = -0.51 / (27 + 1)h

To find the minimum value of w(h), we need to find the maximum value of the denominator, (27 + 1)h.

The maximum value of the denominator occurs when h is at its highest possible value. However, no information about the maximum height is given in the problem.

Therefore, without further information about the range of values for h, we cannot determine the minimal amount of work the bird can expend to break open a whelk shell.

As a result, none of the options provided (28.7, 25.5, 34.9, 16.6) can be conclusively determined to be the minimal amount of work.

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The angle marked x in the regular hexagon is 120 degrees, and in the regular pentagon is 108 degrees.

The angle marked x in the regular hexagon is 120 degrees, because the sum of all the angles in a hexagon is 720 degrees (360 x 2). Each of the angles in a regular hexagon is 120 degrees, so the angle marked x must also be 120 degrees. The angle marked x in the regular pentagon is 108 degrees, because the sum of all the angles in a pentagon is 540 degrees (360 x 1.5). Each of the angles in a regular pentagon is 108 degrees, so the angle marked x must also be 108 degrees.

Regular Hexagon:

Sum of angles = 720 degrees

Number of angles = 6

Angle x = 720 ÷ 6 = 120 degrees

Regular Pentagon:

Sum of angles = 540 degrees

Number of angles = 5

Angle x = 540 ÷ 5 = 108 degrees

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The area of the heptagon is 175.12 mm²

A central angle is the angle created by the two radii. A small sector is one that has a center angle of less than 180 degrees. A significant sector is one that has a center angle greater than 180 degrees.

Area of heptagon = number of sides of heptagon × area of one triangle

Since the regular heptagon is inscribed in the circle of radius r = 8 mm, the angle subtended by any two radii at the center of the circle is Ф = 360/n where n = number of sides of heptagon = 7.

So Ф = 360/7

= 51.43°

Now, two radii and a chord between the two radii form a triangle.

Area of triangle between two radii

The area of the triangle A = (1/2)r²sinФ

So, there are 7 of such triangles in the heptagon.

Area of heptagon

So, the area of the heptagon, B = number of sides of heptagon × area of one triangle

= nA

= (nr²sinФ)/2

So, substituting the values of the variables into the equation, we have

B =  (nr²sinФ)/2

B=  (7 × (8 mm)²sin51.43°)/2

B=  (7 × 64 mm² × 0.7818)/2

B = 443.3 mm²/2

B = 175.12 mm²

So, the area of the heptagon is 175.12 mm²

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The area of the heptagon is 175.12 mm²

What is central angle?

A central angle is the angle created by the two radii. A small sector is one that has a center angle of less than 180 degrees. A significant sector is one that has a center angle greater than 180 degrees.

What is the formula to find area of heptagon?
Area of heptagon = number of sides of heptagon × area of one triangle

Since the regular heptagon is inscribed in the circle of radius r = 8 mm, the angle subtended by any two radii at the center of the circle is Ф = 360/n where n = number of sides of heptagon = 7.
So Ф = 360/7
= 51.43°
Now, two radii and a chord between the two radii form a triangle.
Area of triangle between two radii
The area of the triangle A = (1/2)r²sinФ
So, there are 7 of such triangles in the heptagon.
Area of heptagon
So, the area of the heptagon, B = number of sides of heptagon × area of one triangle
= nA
= (nr²sinФ)/2
So, substituting the values of the variables into the equation, we have
B =  (nr²sinФ)/2
B=  (7 × (8 mm)²sin51.43°)/2
B=  (7 × 64 mm² × 0.7818)/2
B = 443.3 mm²/2
B = 175.12 mm²
So, the area of the heptagon is 175.12 mm²

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ASK ONE QUESTION!!

But to help you with one, the problem is.... h(x) + x with power of 2 - 5x

ANSWER= x(h+x−5)

SOLUTION= x(x+h−5) you had this equation and then you factor out x

Answer:

7y + 10

Step-by-step explanation:

Group the like terms

3y + 4y +7+3

7y+ 10

The simplified expression of 3y + 7 + 4y + 3 is 7y + 10.

A mathematical expression is made up of a statement, at least one arithmetic operation, and at least two integers or variables.

An expression or mathematical expression is a finite combination of well-formed symbols that adhere to context-dependent criteria.

Given:

The expressions, 3y + 7 + 4y + 3,

Simplify the above expression as shown below,

3y + 4y + 3 + 7    (Rearrange the variable and constant terms)

7y + 10   (Add the variable and constant)

Thus, the expression is 7y + 10.

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Given:

The bases of a trapezoid lie on the lines

\(y=2x+7\)

\(y=2x-5\)

To find:

The equation that contains the midsegment of the trapezoid.

Solution:

The slope intercept form of a line is

\(y=mx+b\)

Where, m is slope and b is y-intercept.

On comparing \(y=2x+7\) with slope intercept form, we get

\(m_1=2,b_1=7\)

On comparing \(y=2x-5\) with slope intercept form, we get

\(m_2=2,b_2=-5\)

The slope of parallel lines are equal and midsegment of a trapezoid is parallel to the bases. So, the slope of the bases line and the midsegment line are equal.

\(m=m_1=m_2=2\)

The y-intercept of one base is 7 and y-intercept of second base is -5. The y-intercept of the midsegment is equal to the average of y-intersects of the bases.

\(b=\dfrac{b_1+b_2}{2}\)

\(b=\dfrac{7-5}{2}\)

\(b=\dfrac{2}{2}\)

\(b=1\)

So, the y-intercept of the required line is 1.

Putting m=2 and b=1 in slope intercept form, we get

\(y=2x+1\)

Therefore, the equation of line that contains the midsegment of the trapezoid is \(y=2x+1\).

The equation of the given situation is required.

Slope intercept form \(y=-1.25x+25\)

Standard form \(1.25x-y=25\)

The total amount of money is $25.

Cost of one donut is $1.25

Let y be the amount of money left

x be the number of donuts bought.

So, the amount of money left after buying x donuts is

\(y=25-1.25x\\\Rightarrow y=-1.25x+25\)

The standard form is \(1.25x-y=25\)

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