Vicki ate 15 cookies last week. If she ate 5 cookies Friday, what fraction of the week's cookies did she eat Friday? What fraction of the cookies did she eat during the rest of the week?​

Answer:

LM ≈ 15.8

Step-by-step explanation:

calculate the length d using the distance formula

d = \(}\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = L (- 6, - 7 ) and (x₂, y₂ ) = M (3, 6 )

LM = \(\sqrt{(3-(-6))^2+(6-(-7))^2}\)

    = \(\sqrt{(3+6)^2+(6+7)^2}\)

   = \(\sqrt{9^2+13^2}\)

   = \(\sqrt{81+169}\)

  = \(\sqrt{250}\)

  ≈  15.8 ( to the nearest tenth )

Answer:

try your best

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

\(-37 < -12v+1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ v=-11\hspace{5em}-37 < -12(-11)+1\implies -37 < 133 ~~ \checkmark \\\\[-0.35em] ~\dotfill\\\\ v=-9\hspace{5em}-37 < -12(-9)+1\implies -37 < 109~~ \checkmark \\\\[-0.35em] ~\dotfill\\\\ v=-5\hspace{5em}-37 < -12(-5)+1\implies -37 < 61~~ \checkmark \\\\[-0.35em] ~\dotfill\\\\ v=6\hspace{5em}-37 < -12(6)+1\implies -37 < -71 ~~ \bigotimes\)

Answer:

\(d = 10\)

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in your 2 coordinates into the formula to find distance d:

\(d=\sqrt{(-3-5)^2+(-4-2)^2}\)

\(d=\sqrt{(-8)^2+(-6)^2}\)

\(d=\sqrt{64+36}\)

\(d=\sqrt{100}\)

\(d = 10\)

No, the point is not satisfying the given equation.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation, y = x + 1

Putting x = 9, we get,

y = 9+1 = 10

For x = 9 there is given y = 8, but on solving the equation by putting x = 9 we get 10, which mean that points are not satisfying the equation.

Hence, No, the point is not satisfying the given equation.

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Answer:

V=11858.98

Step-by-step explanation:

V=r^2*pi*h

first find r

r=d/2

d=1.4(19.75)

d=27.65

r=27.65/2

r=13.825 ft

plug into volume equation

V=13.825^2*pi*19.75

V=11858.97771

V=11858.98 ft^3

Answer:

All real numbers

Step-by-step explanation:

See attached graph.

1)

The given vertices of the quadrilateral are

L(- 5, 1), M(- 2, - 2), N(- 1, - 3), O(2, - 2)

We would find the slope of the lines connecting the pairs of vertices. Recall, the opposite sides of a parallelogram are parallel. This means that they would have the same slope. The formula for calculating slope is expressed as

slope = (y2 - y1)/(x2 - x1)

Considering L(- 5, 1) and M(- 2, 2),

x1 = - 5, y1 = 1

x2 = - 2, y2 = 2

slope = (2 - 1)/(- 2 - - 5) = 1/(- 2 + 5) = 1/3

Slope of LM = 1/3

Considering N(- 1, - 3) and O(2, - 2)

x1 = - 1, y1 = - 3

x2 = 2, y2 = - 2

slope = (- 2 - - 3)/(2 - - 1) = (- 2 + 3)/(2 + 1) = 1/3

Slope of NO = 1/3

Since the slopes of the opposite sides are equal, it is a parallelogram

We would plot the coordinates of the vertices on a graph as shown below.

Answer:

y=2/3

Step-by-step explanation:

2y+4y=6-3y

⇔ 2y+4y+3y=6

⇔ 9y=6

⇔ y=6/9=2/3

The answer is:

y = 2/3

Work/explanation:

For now, I focus on the left side and combine the like terms:

\(\bf{2y+4y=6-3y}\)

\(\bf{6y=6-3y}\)

Add 3y to each side

\(\bf{6y+3y=6}\)

Combine like terms

\(\bf{9y=6}\)

Divide each side by 9

\(\bf{y=\dfrac{6}{9}}\)

\(\bf{y=\dfrac{2}{3}}\)

Hence, the answer is 2/3.

Answer:

Step-by-step explanation:

You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.

Newton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...

  T = 36 -26·(22/26)^(t/2)

At times of t=4 and t=9, the temperature readings will be ...

__

Additional comment

The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.

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The tangents of the acute angles in the right triangle gives:

tan(G) = 2

tan(H) = 1/2

It should be noted that tangent is the ratio of opposite over adjacent. Thus:

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A + B = 90 degrees

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Answer:

34/5, 6 4/5

Step-by-step explanation:

1 1/5 = 6/5

8-6/5 = 40/5 - 6/5 = 34/5

The angle measure of the minor arc is 62°

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

The diameter is the length of the line that passes through the center circle touching two points on the circle's circumference.

The arc of a circle is the part or segment of the circumference of a circle.m∠EFG = minor arc EGminor arc EG = 62°

The measure of the arc is 62°

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Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

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Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.

Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.

Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.

Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.

Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.

The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.

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\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Answer:

60 I

Step-by-step explanation:

We should divide the length of the wire into two equal parts in order to minimize the sum of the areas of the two squares

The area of a square is a product of it's any two sides or a product of diagonals divided by two. If the side has a length 'a' then the diagonal is 'a√2'.

The perimeter of a square is the sum of the lengths of all the sides.

Given, A wire of length 14 m is divided into two pieces and each piece is bent into a square.

∴ To minimize the sum of the areas of the two squares we'll divide the wire into two equal pieces(7, 7)

Now, Perimeter is the total length of a square.

∴ 4a = 7.

a = 7/4.

So, area is = a² = 49/16.

Now the sum of two same areas is the same as multiplying one area by 2 which is.

= 49×2/16.

= 6.125 m².

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The correct range of f(x) is 4.5 and f(x) is positive for negative interval.

In mathematics, a function is a relation between two sets of numbers, called the domain and the range, that assigns to each element in the domain a unique element in the range. In other words, a function is a rule that takes an input value (or values) and produces a corresponding output value (or values), where the output value is determined by applying a specific set of instructions to the input value. A function can be represented symbolically by an equation, formula, or graph, and it is typically denoted by a letter such as f(x), g(x), or h(x). The input values of a function are often referred to as the independent variable or argument, while the output values are referred to as the dependent variable.

According to the question;

\(f(x)= -\frac{1}{2} |x-4|\)

The Range of f(x) = -0.5-(-5)

f(x) = 4.5

Therefore the correct range of f(x) is 4.5 and f(x) is positive for negative interval.

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The Relative Maximum will be (7, 50) and minimum is (12, 0).

We have the graph showing average low temperatures in international falls minnesota.

From the graph the maximum y coordinate is 50.

So, the Relative Maximum will be (7, 50).

and, the minimum y coordinate is 0.

So, the Relative minimum is (12, 0)

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Answer:

2 and 1/3

Step-by-step explanation:

Answer:

2 1/3

Step-by-step explanation:

To find a mixed number you take the number on the bottom and see how many you can add into the number on top (In this case 3 into 7 as many times as you can without going over 7.)

3 can go into 7, 2 times, (6), so 2 is the number set aside and your left with 1 so you have 1/3

The mixed number is 2 1/3

Hope this has helped. Have a great day.

Answer:

7w

Step-by-step explanation:

The roster method of the set A' = {14, 15, 20}

The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.

A typical example of the roster method is to write the set of numbers from 1 to 5 as {1, 2, 3, 4, 5}.

Therefore,

U = universal sets = {14, 15, 16, 17, 18, 19, 20}

A = {16, 17, 18, 19}

Therefore, let's find A' as follows:

A' is the value not in A. Hence, in roster method.

A' = {14, 15, 20}

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Answer:

A B and D

Step-by-step explanation:

Given the parabola is opening downward, the function has to be negative. Therefore, A B and D are correct.

The following equations could define the given quadratic function.

1. -1(x-1)²+9

4. -x²+2x+8

6. (x+2)(x-4)

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c.

1. The function -1(x-1)²+9 represents a downward-facing parabola.

The vertex of the parabola is at point (1, 9), and it opens downward because the coefficient of the squared term (-1) is negative.

4. The function -x²+2x+8 represents a downward-facing parabola as well.

6. The parabola intersects the x-axis at x = -2 and x = 4.

Hence, the correct answer is options 1, 4, 6.

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we know that

3 cm represent 4 m

so

3x3 cm2 -----> represent 4x4 m2

9 cm2 ------> 16 m2

step 1

Find out the area of the backyard in the drawing

A=3*6

A=18 cm2

Remember that

9 cm2 ------> 16 m2

multiply by 2 on both sides

18 cm2 ----> 32 m2

therefore

The numerical value of x in the similar pair of triangle is 10.

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

From the diagram,

Side A of the small triangle = 10

Side B of the small triangle = x + 2

Side A of the Big triangle = 10 + x

Side B of the big triangle = x + 14

Hence;

Ratio of Side A to Side B of the small triangle = 10 / x + 2

Ratio of Side A to Side B of the Big triangle = 10 + x / x + 14

Since the triangle area similar, equate the two ratio and solve for x.

10 / ( x + 2 ) = ( 10 + x ) / ( x + 14 )

Cross multiply

10( x + 14 ) = ( 10 + x )( x + 2 )

Expand using FOIL method

10x + 140 = 10x + 20 + x² + 2x

10x + 140 = x² + 12x + 20

x² + 12x + 20 = 10x + 140

x² + 12x + 20 - 10x - 140 = 0

x² + 2x - 120 = 0

Factor the left side of the equation

( x - 10 )( x + 12 ) = 0

Hence;

x - 10 = 0 and x + 12 = 0

x = 10 and x = -12

Since the dimension of the triangle cannot be negative,

x = 10

Therefore, the value of x is 10.

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The basic ratio of minutes of painting to minutes of instruction is 7 : 6

From the question, we have the following parameters that can be used in our computation:

Painting = 63 minutes

Instruction = 54 minutes

The ratio can be represented as

Ratio = Painting : Instruction

When the given values are substituted in the above equation, we have the following equation

Painting : Instruction = 63 : 54

Simplify

Painting : Instruction = 21 : 18

Simplify

Painting : Instruction = 7 : 6

This  ratio cannot be simplified

Hence, the solution is 7 : 6

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