Kelly said that 97/1000 can be written as 0.97 is correct? Explain.

Answer:

75

Step-by-step explanation:

60+55+x=180

All triangles equal 180 so if you add 60 and 55 you get 105 then subtract that from 180 to get 75.

Answer:

x = 65

Step-by-step explanation:

= 60 +55 =115 ( exterior < property)

x = 180 -115 = 65 (linear pair)

The expression that represents "3 more than twice a number" is 2n + 3.

The expression "3 more than twice a number" can be translated into an algebraic expression as 2n + 3, where "n" represents the number in question. To understand this expression, we first need to know the order of operations. In this case, "twice a number" means "2n", and "3 more than" means adding 3 to that result. Therefore, the entire expression becomes "2n + 3". It's important to remember that expressions like this are not equations, but rather just a way to represent a mathematical relationship. This type of expression is commonly used in algebraic problem-solving and can be manipulated to solve for different variables.

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Complete question:

Which expression represents "3 more than twice a number"? Choices:

2n−3

3−2n

2n+3

2+n+3

It can be estimated that about 816 children in the typical school are living in poverty.

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Answer:

k=5

Step-by-step explanation:

remove parenthese, combine like terms, move terms, combine like terms, divide both sides

Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

The triangle which could be drawn as per the given description is only option b. isosceles triangle with measure 20° and 80°.

An acute triangle with sides measuring 7, 4, and 2

In an acute triangle, the sum of the squares of the two shorter sides must be greater than the square of the longest side .

According to the Pythagorean Theorem.

Here, 7² is greater than (4² + 2²).

So this is not possible.

An isosceles triangle with angles measuring 20° and 80°

In an isosceles triangle, two angles are equal, so if two angle measures 20° and 80°,

Then the third angle measures is

180° - 20° - 80°= 80°

Two angles are congruent implies two sides are congruent.

It is possible to form isosceles triangle.

An obtuse triangle with sides measuring 5, 10, and 15

In an obtuse triangle, the longest side is opposite the largest angle.

Sum of squares of two shorter sides is less than square of longest side according to Pythagorean Theorem.

However, 15²is greater than (5²+ 10²),

so this is not possible.

A scalene triangle with angles measuring 110° and 35°

The sum of the angles of any triangle is 180°,

so the third angle must measure

180° - 110° - 35° = 35°.

Two angles are congruent so it is isosceles triangle.

It is not possible to form scalene triangle.

Therefore, the triangle possible to draw as per the given condition is only option b. isosceles triangle with measure 20° and 80°.

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The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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Answer:

Y=3x

Step-by-step explanation:

Proportional relationships always have multiplication or division

The elements using rooster-method:

A){3,4,5,6,7,8,9,10}

B){5,6,7,8,9,10,11,12,13,14}

What is rooster-method?

By listing the items of a set inside brackets, the roster method may be used to display the elements of a set. One of three ways to describe a set is in rooster form. The items of a set are listed in the roster form between curly or following brackets, with commas separating each element. When items repeat in the set, the roster approach actually has an issue. Because the elements do not follow a pattern or have a specific order, it is impossible to describe the elements in roster notation if the set has a significant number of elements or any repeated elements.

A)Set of natural odd numbers greater than 2 but less than 11:

Let us represent the set using symbol O:

O = {3,4,5,6,7,8,9,10}

B){x| x∈ N and 4<x<15}

Given that x is a natural number greater than 4 but less than 15.

X={5,6,7,8,9,10,11,12,13,14}

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Answer:

Your answer will be B. A town's population grows at a rate of 7.2% every year.

Step-by-step explanation:

Pls give me brainliest thx

Solution :

a). The level curves of the function :

\($C(x,y) = e^{-(x^2+2y^2)/10^4}$\)

are actually the curves

\($e^{-(x^2+2y^2)/10^4}=k$\)

where k is a positive constant.

The equation is equivalent to

\($x^2+2y^2=K$\)

\($\Rightarrow \frac{x^2}{(\sqrt K)^2}+\frac{y^2}{(\sqrt {K/2})^2}=1, \text{ where}\ K = -10^4 \ln k$\)

which is a family of ellipses.

We sketch the level curves for K =1,2,3 and 4.

If the shark always swim in the direction of maximum increase of blood concentration, its direction at any point would coincide with the gradient vector.

Then we know the shark's path is perpendicular to the level curves it intersects.

b). We have :

\($\triangledown C= \frac{\partial C}{\partial x}i+\frac{\partial C}{\partial y}j$\)

\($\Rightarrow \triangledown C =-\frac{2}{10^4}e^{-(x^2+2y^2)/10^4}(xi+2yj),$\) and

\($\triangledown C$\) points in the direction of most rapid increase in concentration, which means \($\triangledown C$\) is tangent to the most rapid increase curve.

\($r(t)=x(t)i+y(t)j$\)  is a parametrization of the most \($\text{rapid increase curve}$\) , then

\($\frac{dx}{dt}=\frac{dx}{dt}i+\frac{dy}{dt}j$\) is a tangent to the curve.

So then we have that \($\frac{dr}{dt}=\lambda \triangledown C$\)

\($\Rightarrow \frac{dx}{dt}=-\frac{2\lambda x}{10^4}e^{-(x^2+2y^2)/10^4}, \frac{dy}{dt}=-\frac{4\lambda y}{10^4}e^{-(x^2+2y^2)/10^4} $\)

∴ \($\frac{dy}{dx}=\frac{dy/dt}{dx/dt}=\frac{2y}{x}$\)

Using separation of variables,

\($\frac{dy}{y}=2\frac{dx}{x}$\)

\($\int\frac{dy}{y}=2\int \frac{dx}{x}$\)

\($\ln y=2 \ln x$\)

⇒ y = kx^2 for some constant k

but we know that \($y(x_0)=y_0$\)

\($\Rightarrow kx_0^2=y_0$\)

\($\Rightarrow k =\frac{y_0}{x_0^2}$\)

∴ The path of the shark will follow is along the parabola

\($y=\frac{y_0}{x_0^2}x^2$\)

\($y=y_0\left(\frac{x}{x_0}\right)^2$\)

Answer:

1404.81

Step-by-step explanation:

1277.1 +127.71 =  i read it wrong the first time sorry

The total amount paid to harry in past week, is 299.28.

Amount is the sum or the total value.

For example, if A purchase 2 kg rice at the price of 40 rs/kg, the amount will be 40×2= 80 rs.

Given that,

The amount paid to Harry for 1 hour = $8.60

Since, Harry worked for 33 hours,

So, The amount paid to Harry for 33 hours = 8.60×33=283.8

Harry gets half times more amount than hourly rate and also gets bonus for last 3 days

So for last 3 days the extra amount paid to Harry

= 3×1/2×8.60+3×1/10×8.60

= 12.9+2.58

=15.48

So the total amount paid to harry = 283.8+15.48=299.28

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Answer:

C

Step-by-step explanation:

You replace x and y with (x,y) then if they equal each other they are true.

Answer:

horizontal

Step-by-step explanation:

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

(3x + 2y) (3x - 2y)

Step-by-step explanation:

a² - b² = (a + b) (a - b)

where a = 3x and b = 2y

The numerical value of x in the dimensions of the rectangle is 9.

A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.

Area of a rectangle is expressed as;

A = length × width

From the diagram:

Wdith of the rectangle = x - 2

Length of the rectangle = x + 5

Area = 98 ft²

Since area of a rectangle =  length × width:

98 = ( x - 2 )( x + 5 )

Simplify

( x - 2 )( x + 5 ) = 98

Apply distributive property:

x² + 3x - 10 = 98

x² + 3x - 10 - 98 = 0

x² + 3x - 108 = 0

Factor using AC method:

( x - 9 )( x + 12 ) = 0

Hence:

x - 9 = 0 or x + 12 = 0

x = 9 or x = -12

Since, we are dealing with dimensions, we take the positive value.

Hence, the value of x is 9.

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The number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

Box plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The median of first test is 60 while the second test is 80. Thus, the difference is,

\(d=80-60\\d=20\)

The student, who got at least 60 in first test, falls in the second half of the plot. Thus, the 50% of students got atleast 60% marks. In the retake test, all 100% student got at least 60 on test.

In the first test 1/4 are passed while in second test 3/4 students are passed and got the marks 65 or more than this, Thus the number of student pass more in this test,

\(n=(\dfrac{3}{4}-\dfrac{1}{2})\times 32\\n=8\)

Thus, the number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

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a. The simplified expression is determined as -4

b.  The missing expression is determined as - ¹/₂.

c. The simplified expression is determined as - ⁸³⁷/₁₀₄, and - ⁴⁹/₂₅.

The addition operations, subtraction operations and division operation is simplified as follows;

a. The given expression and its simplification;

- 1 + ( - 2) - (-3) - 4

= - 1 - 2 + 3 - 4

= -4

b. The given expression and its simplification;

-3 - ¹/₂ = - 3 + ?

-3 + 3 - ¹/₂ = ?

- ¹/₂ = ?

c. The given expression and its simplification;

1 ¹/₈ (- 7 ²/₁₃)

= ⁹/₈ x - ⁹³/₁₃

= - ⁸³⁷/₁₀₄

-3 ⁴/₁₅ ÷ (- 1 ²/₃)

= - ⁴⁹/₁₅  ÷  ( - ⁵/₃)

= - ⁴⁹/₁₅  × - ³/₅

= - ⁴⁹/₂₅

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Answer:

2 (rounded)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the cost of white chocolate chip and y represent the cost of oatmeal dough, hence:

12x + 6y = 192   (1)

Also:

6x + 12y = 222    (2)

From both equations:

x = 9, y = 14

The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.

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The required solution is 5+39e.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications

Given :

Write down the question as an algebra problem, with the unknown as X

The unknown is a number plus 5, so we write it as (X+5). The product is four times (X+5), so we write it as 39(X+5). Set it equal to e, as per the question, 5+39e

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Answer:

5.5 hours

Step-by-step explanation:

We have that the distance is given by:

d = v * t = 50 mph * 1/2 h = 25 miles

The relative speed is given by:

 vr = 55 mph - 50 mph = 5 mph

Now the time required to reach

 would come being:

t = t '+ d / vr

we know that t '= 1/2 h, replacing:

t = 1/2 h + 25 mi / 5 mph

t = 1/2 h + 5 h

t = 5.5 h

Therefore, the required time is 5.5 hours.

Multiply 15 and 6.8. So speed * time = distance

So the answer is 102

Answer: We can solve this problem by counting the total number of ways to select three members and then subtracting the number of ways to select three members without any officers.

The total number of ways to select three members from a group of 13 is given by the combination formula:

C(13,3) = 286

To count the number of ways to select three members without any officers, we need to choose three members from the 8 non-officers. This can be done in C(8,3) = 56 ways.

Therefore, the number of ways to select three members with at least one officer is:

C(13,3) - C(8,3) = 286 - 56 = 230

There are 230 ways to select three members for the search and rescue mission such that at least one officer is included.

Step-by-step explanation:

Answer:

2.5 days

Step-by-step explanation:

To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.

Given:

15 people working 5 hours per day can make 30 units of the product in 10 days.

From this information, we can calculate the work rate of these 15 people:

Work rate = Total units of the product / (Number of people × Number of hours × Number of days)

Work rate = 30 units / (15 people × 5 hours × 10 days)

Work rate = 0.04 units per person per hour

Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.

Using the work rate formula:

Number of days = Total units of the product / (Number of people × Number of hours × Work rate)

Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)

Number of days = 2.5 days

Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.

The correct answer is:

2.5 days

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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