A mom-and-pop bistro is built on a rectangular lot. If the area of the lot is 750m^2, find the area of the bistro.

Answer:

The answer is  

her score was in the top 85% of all test takers' scores.

Step-by-step explanation:

Percentile is the relative standing in a set of data from the lowest values to highest values.

If your score is in the 85th percentile, it means that 85% of the scores are below your score and 15% are above your score.

Answer:

A. Her score was better than those of 85% of all test takers.

Step-by-step explanation:

This means that 85% of the students scored lower on the test, so approximately 15% scored higher.

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Given:

A figure of a right angle triangle.

To find:

The length of the shorter leg.

Solution:

In a right angle triangle,

\(\tan\theta =\dfrac{Opposite}{Adjacent}\)

In the given triangle,

\(\tan (60^\circ) =\dfrac{18}{x}\)

\(\sqrt{3}=\dfrac{18}{x}\)

\(x=\dfrac{18}{\sqrt{3}}\)

\(x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}\)

On further simplification, we get

\(x=\dfrac{18\sqrt{3}}{3}\)

\(x=6\sqrt{3}\)

\(x=10.3923\)

\(x\approx 10.4\)

Therefore, the length of the shortest leg is 10.4 and the correct option is B.

Complete Question:

In the triangles, TR= GE and SR=FE. If GF= 3.2 ft, which is a possible measure of TS?

Answer:

3.2ft

Step-by-step Explanation:

From the given information of the question, we can draft out the diagram of the triangles being depicted here. See attached picture showing triangles RST and EFG.

Since we are told that TR= GE, and SR = FE, it means both triangles are isosceles triangle a having 2 equal sides, and triangles RST and EFG are similar.

Also, given that the measure of the 3rd side (GF) of triangle EFG is 3.2ft, therefore, TS = 3.2ft

Answer:

c

Step-by-step explanation:

Answer: 79798

Step-by-step explanation:

139101 - 59303

= 79798

please give me a brainliest answer

Answer:

79798

Step-by-step explanation:

  69632

+ 69469

=  139101

-   59303

=  79798

Hope this helps :)

Step-by-step explanation:

2(x+4) = 12

or, 2x + 8 = 12

or, 2x = 12-8

or, 2x = 4

or, x = 4÷2

hence, x = 2

Answer:

x=2

Step-by-step explanation:

1. 2(x+4) = 12

2. 2 • x + 4 = 12

3. 12 divided by 2 = 6

4. 4+2=6

5. 2 • (2 + 4) = 12

x = 2

Given:

Steven wrote this equation:

\(4\times 18=418\)

To find:

The error in Steven's reasoning and then find the correct product.

Solution:

We have,

\(4\times 18=418\)

This statement is incorrect because we cannot write product directly as Steven wrote.

We need to multiply the place values of each digit of first number with the place values of second number and then we need to add the resulted values.

\(4\times 18=4\times (10+8)\)

\(4\times 18=4\times 10+4\times 8\)

\(4\times 18=40+32\)

\(4\times 18=72\)

Therefore, the correct product is 72.

The inverse of this function can be written as x=log(y/100)/log(1.05), where log is the natural logarithm (base e).

A function is a set of instructions that performs a specific task when called upon. It is a fundamental concept in programming languages that allows code to be written once and reused multiple times. Functions are used to break down complex tasks into smaller, more manageable pieces of code that can be tested and debugged independently. This modular approach to software development helps make code more efficient, easier to read and maintain, and less prone to errors. Functions can accept input in the form of parameters, or variables, and may optionally return a result.

This inverse function can be interpreted as the number of years it has taken for the cost per night at the hotel to reach a given value y. In other words, x represents the number of years since the hotel opened at which the cost per night is y.

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The value of the contour surface passing through the point (1, 0, 2) is ψ(1, 0, 2) = 1^2 + 2e^0 = 1 + 2 = 3.

To find the points on the curve where the tangent is horizontal, we need to determine the values of t that satisfy the condition for a horizontal tangent, which is when the derivative of y with respect to t is equal to 0.

Given the parametric equations:

x = 2t^3 + 3t^2 - 12t

y = 2t^3 + 3t^2 + 1

Taking the derivative of y with respect to t:

dy/dt = 6t^2 + 6t

Setting dy/dt equal to 0 and solving for t:

6t^2 + 6t = 0

t(6t + 6) = 0

From this equation, we have two possible solutions:

t = 0

6t + 6 = 0, which gives t = -1.

Therefore, the points on the curve where the tangent is horizontal are (0, y(0)) and (-1, y(-1)). To find the corresponding y-values, substitute the values of t into the equation for y:

For t = 0:

y(0) = 2(0)^3 + 3(0)^2 + 1 = 1

For t = -1:

y(-1) = 2(-1)^3 + 3(-1)^2 + 1 = -2 + 3 + 1 = 2

Hence, the points on the curve where the tangent is horizontal are (0, 1) and (-1, 2).

To find the points on the curve where the tangent is vertical, we need to determine the values of t that satisfy the condition for a vertical tangent, which is when the derivative of x with respect to t is equal to 0.

Taking the derivative of x with respect to t:

dx/dt = 6t^2 + 6t - 12

Setting dx/dt equal to 0 and solving for t:

6t^2 + 6t - 12 = 0

t^2 + t - 2 = 0

(t + 2)(t - 1) = 0

From this equation, we have two possible solutions:

t + 2 = 0, which gives t = -2

t - 1 = 0, which gives t = 1.

Therefore, the points on the curve where the tangent is vertical are (x(-2), y(-2)) and (x(1), y(1)). To find the corresponding x-values and y-values, substitute the values of t into the equations for x and y:

For t = -2:

x(-2) = 2(-2)^3 + 3(-2)^2 - 12(-2) = -16 + 12 + 24 = 20

y(-2) = 2(-2)^3 + 3(-2)^2 + 1 = -16 + 12 + 1 = -3

For t = 1:

x(1) = 2(1)^3 + 3(1)^2 - 12(1) = 2 + 3 - 12 = -7

y(1) = 2(1)^3 + 3(1)^2 + 1 = 2 + 3 + 1 = 6

Hence, the points on the curve where the tangent is vertical are (20, -3) and (-7, 6).

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The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

The level of measurement for the data collected in the study, which is "annual income", is Ratio.

Ratio measurements have a true zero point, which means that they can be compared using ratios. For example, if one person's annual income is $50,000 and another person's annual income is $100,000, we can say that the second person's income is twice as much as the first person's income.

This type of measurement is the most precise and is used for variables such as annual income, height, weight, and time. Considering this, we can state that the correct answer to the question is: ratio.

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The simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is 729x^6 - V^2.

In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.

To simplify the expression using the given values, we substitute \(U = 3x^3\)and V = y + 1 into the original expression:

\(81x^6 - (y + 1)^2\)

Replacing U and V:

\(81(3x^3)^2 - (V)^2\)

Simplifying:

\(81 \times 9x^6 - V^2\)

\(729x^6 - V^2\)

Therefore, the simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is\(729x^6 - V^2.\)

In this way, we can represent the original expression in a simplified form using the assigned values for U and V.

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Consider the expression: \(81x^6 - (y + 1)^2\)

If\(U = 3x^3\) and V = y + 1, what is the simplified form of the expression in terms of U and V?

In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.

Answer:

98

Step-by-step explanation:

7x+4 = 88 because they are vertical angles and vertical angles are equal

7x = 88-4

7x = 84

Divide by 7

7x/7 = 84/7

x = 12

<1 and 7x-2 are supplementary angles since they form a line

<1 + 7x-2 = 180

<1 + 7(12) -2 = 180

<1 +84-2 =180

<1 +82 = 180

<1 = 180-82

<1 = 98

Answer-

98

step by step explanation -

7x+4=88

7x=84

x=12

7x-12=7*(12)-2=82

angle 1=180-82 =

You should check the following options:

( ) PQ = 10

( ) QS = 12

( ) QS = 13

( ) SR = 5

( ) SR = 6

Let's calculate the distances between the given points using the distance formula and check which statements are true.

Distance between points P and Q (PQ):

PQ = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((4 - (-2))^2 + (11 - 3)^2)

= sqrt(6^2 + 8^2)

= sqrt(36 + 64)

= sqrt(100)

= 10

So, PQ = 10 is true.

Distance between points Q and S (QS):

QS = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((9 - 4)^2 + (-1 - 11)^2)

= sqrt(5^2 + (-12)^2)

= sqrt(25 + 144)

= sqrt(169)

= 13

So, QS = 13 is true.

Distance between points S and R (SR):

SR = sqrt((x2 - x1)^2 + (y2 - y1)^2)

= sqrt((12 - 9)^2 + (3 - (-1))^2)

= sqrt(3^2 + 4^2)

= sqrt(9 + 16)

= sqrt(25)

= 5

So, SR = 5 is true.

Based on our calculations, the following statements are true:

PQ = 10

QS = 13

SR = 5

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Answer:

x = 1.5

\(1.5 * 4 = 6\\6 + 12 = 18\)

please mark brainliest. it means a lot. thanks!!! :)

The accurate way to describe a vector field F on R3 is (c) A function F from R3 to R3.

Vector field is a set of vectors that exist at different points of a vector space. A vector field is denoted by F. The vector field of a vector function F in R3 is a vector field.

A vector field F can be defined as a function from R3 to R3 (choice (c)) where F(x, y, z) = ⟨f1(x, y, z), f2(x, y, z), f3(x, y, z)⟩ is a vector at each point (x, y, z) of the space in R3.If f(x, y) is a scalar function of two variables, the accurate choice is (b) Vf(x, y) is a vector field on R2. A vector field of a vector function F in R2 is a vector field.

The vector field F can be defined as a function from R2 to R2 where F(x, y) = ⟨f1(x, y), f2(x, y)⟩ is a vector at each point (x, y) of the plane in R2.

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Answer:

This is an english server

Suppose a juice box contains 30% juice with the remaining portion of the drink composed of water alcohol is the solute in this type of juice box.

Ethanol; Ethanol, a drab liquid with a pleasing scent this is produced evidently from fermentation through yeasts and different microorganisms. It is utilized in alcoholic beverages, as a solvent, and withinside the manufacture of different chemicals. Ethanol is a fairly poisonous and colorless compound.

Alcohol is the solute in this type of juice box is the solvent as alcohol is easily soluble as the solvent and has best property of a solute and csn pass through the semipermeable permeability and others solvent also. The alcohol is actually acting as the solute here to dissolve the solvent.

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Answer:

Translation:

1. Movement of furniture

2. Airplane positioning within a taxiway

3. The position of the mouse cursor on your computer

Reflection:

1. A mirror

2. A double-door exit at school

3. Chairs facing each other at school

Rotation:

1. The Earth's rotation

2. Hands on a clock

3. A carousel

Dilation/Stretch:

1. A balloon expanding

2. A balloon deflating

3. Biological growth

Transformation involves changing the position and/or size of a shape. Some real world examples of transformation are:

Translation: Mouse cursor

Reflection: Mirror

Rotation: The clock

Dilation: Magnifying lenses

Translation

When an object is moved away from its original position, then the object has been translated. Real world examples include:

Reflection

When an object is flipped from its original position, then the object has been reflected. Real world examples include:

Rotation

When an object is turned around a center, then the object has been rotated. Real world examples include:

Dilation

When the size of an object is changed in equivalent proportions, then the object has been dilated. Real world examples include:

See attachment for examples of each transformation

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Answer:

800 miles.

Step-by-step explanation:

He would travel 800 miles because 320 divided by 10 is 32. 32 multiplied by 25 is 800.

Hope this helps!

The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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The Euler's Formula is given to be:

where F is the number of faces, V is the number of vertices, and E is the number of edges.

From the question, we have the following parameters:

Therefore, the number of faces can be calculated as shown below:

The polyhedron has 12 faces.

If O is the midpoint of LM and N is the midpoint of KM  then the measure of NO is 10.

Linear equations are a combination of constants and variables where the value of the variable is calculated using mathematical operations.

We have given that Triangle KLM, N is the midpoint of KM and O is the midpoint of LM if NO equals 3+ 7X and KL equals 4X +16, we are supposed to find the measure of NO.

Using the Midpoint theorem, we can say that in Triangle KLM;

NO = KL / 2

Substituting values,

3+ 7X =  4X +16/ 2

3+ 7X =  2X + 8

7x - 2x = 8 - 3

5x = 5

x = 1

NO = 3+ 7X

NO = 3+ 7(1) = 10

NO equals 10

Hence the measure of NO is 10.

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Among the given hash functions, the function (key % 10) + (key/10) yields a perfect hash with a 10-element array for the values 6, 31, 51, and 54. None of the other hash functions listed produce a perfect hash.

To determine which hash function yields a perfect hash with a 10-element array for the given values, we need to evaluate each function for each value and check if any collisions occur.

Using the function (key % 10) + (key/10), we can calculate the hash values for the given keys as follows:

- For key 6: (6 % 10) + (6/10) = 6.6. The hash value is 6.

- For key 31: (31 % 10) + (31/10) = 3.1 + 3. The hash value is 6.

- For key 51: (51 % 10) + (51/10) = 1.1 + 5. The hash value is 6.

- For key 54: (54 % 10) + (54/10) = 4.4 + 5. The hash value is 9.

As we can see, all four keys result in different hash values using this function, indicating a perfect hash without collisions.

On the other hand, for the other hash functions listed, such as (key % 10), (key/10) % 10, and (key % 10) - (key/10), collisions occur for some of the given values. Therefore, none of these hash functions yield a perfect hash with a 10-element array for the given values.

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​

x =-15/4

Step-by-step explanation:

According to the given table.

Days Grams

7 4 1/5

30 18

The constant of proportionality is found with the following formula.

First, we transform the mixed number 4 1/5 into a fraction.

So, we use the following

Replacing these values in the formula, we have

Answer: 9/10

Step-by-step explanation: I know this because 9 times 9 is 81 and 10 times 10 is 100.