Lily is going to deposit $700 in the bank for 6 months. What is the amount of interest her account will earn its a 20% simple interest rate?

Answer:

1/5

Step-by-step explanation:

Answer:

(1/5)

Step-by-step explanation: I did it, got it right.

Answer:

1A) 2 gallons of 20% solution and 3 gallons 15% solution needed

1B) 4 gallons of 20% solution and 1 gallons 15% solution needed

Step-by-step explanation:

1A) adding 20% salt and 15% water making 5 gallons of 17%

20% salt + 15% salt = 5 gallons of 17% salt

0.20x + 0.15(5 - x) = 0.17(5)

0.20x + 0.75 - 0.15x = 0.85

0.20x + 0.75 - 0.75 - 0.15x = 0.85 - 0.75

0.20x - 0.15x = 0.10

0.05x = 0.10

0.05x/ 0.05 = 0.10/0.05

x = 2 gallons (amount of 20% solution needed)

5 - x = 5 - 2 = 3 gallons (amount of 15% solution needed)

1B)

0.20x + 0.15(5 - x) = 0.19(5)

0.20x + 0.75 - 0.15x = 0.95

0.20x + 0.75 - 0.75 - 0.15x = 0.95 - 0.75

0.20x - 0.15x = 0.20

0.05x = 0.20

0.05x / 0.05 = 0.20/0.05

x = 4 gallons (amount of 20% solution needed)

5 - x = 5 - 4 = 1 gallons (amount of 15% solution needed)

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Answer:

x=1.1

Step-by-step explanation:

5 (2x-1)=6

10x-5=6

10x=6+5

10x=11

x=11/10

x=1.1

Answer:

Exact form

\(x=\frac{11}{10}\)

Decimal Form

x=1.1

Step-by-step explanation:

Circle, Triangle, Square are basic shapes that are commonly used in mathematics, art, and design. They are considered the building blocks of more complex shapes and designs.

In mathematics, Circle, Triangle, and Square are often used as examples to teach basic geometric concepts such as perimeter, area, and volume. Students learn how to calculate the properties of these shapes, including the length of their sides and their angles.

In art and design, Circle, Triangle, and Square are used to create compositions and patterns. These shapes can be combined to create more complex designs, and they are often used to create logos and symbols. The shapes also have symbolic meanings and can be used to represent different ideas and concepts.

The value of Circle, Triangle, and Square lies in their versatility and simplicity. They can be used to teach basic geometric concepts and to create complex designs, making them an essential tool for anyone interested in mathematics, art, and design.

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The notation used for a vector pointing into the point is X.

A quantity with a magnitude and direction is called a vector. A vector quantity will be identified in these annotations by a bold letter (such as the electric field vector E). Vectors appear graphically as straight arrows. The magnitude of the vector is commonly represented by the length of the arrow, and both the arrow and the vector point in the same general direction.

Arrows are drawn on the page to represent vectors in the page's plane. Typically, circles with an X engraved on them are used to represent vectors that enter the screen's plane. A vector that deviates from the screen's plane is often represented by circles with dots in the center.

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Answer:

download socratic maybe there is the answer

Triangle XYZ must be an isosceles triangle since two of its sides (XY and ZY) are both tangent to the circle and intersect at a point outside the circle.

To determine what kind of triangle XYZ is, we must look at the properties of the triangle. First, we need to determine the length of all three sides. To do this, we can use the Pythagorean Theorem. Using the coordinates of the points X, Y, and Z, we can calculate the length of each side. For example, for the side XY, we would calculate the length using the coordinates (x1, y1) and (x2, y2). The length of the side would be the square root of (x2 - x1) squared plus (y2 - y1) squared.  We can then use the lengths of the sides to determine the type of triangle. If all three sides are equal, the triangle is an equilateral triangle. If two sides are equal, the triangle is isosceles. If all three sides are different, the triangle is scalene. If one angle is a right angle, the triangle is a right triangle. Based on the properties of the triangle XYZ, we can conclude that it must be an isosceles triangle since two of its sides are tangent to the circle and intersect at a point outside the circle.

The complete question: Line segments XY and ZY are tangent to circle O. Circle O is shown. Triangle X Y Z has points X and Z on the circle. Lines X Y and Z Y are tangents that intersect at point Y outside of the circle. Which kind of triangle must triangle XYZ be? an equilateral triangle an isosceles triangle a scalene triangle a right triangle

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Answer:

option D is correct

Step-by-step explanation:

Given data

From the given expression/options of answers, option D is correct

This is because the given expression in the attached file corresponds to the terms in option D

The given function e(t) can be represented as: e(t) = lim(ε→0) 2π ∫[-∞, ∞] e^(-lzt) dz

To show this representation, we can start by considering the Laplace transform of e(t). The Laplace transform of a function f(t) is defined as:

F(s) = ∫[0, ∞] e^(-st) f(t) dt

In this case, we have e(t) = 1 for t ≥ 0 and e(t) = 0 for t < 0. Let's split the Laplace transform integral into two parts:

F(s) = ∫[0, ∞] e^(-st) f(t) dt + ∫[-∞, 0] e^(-st) f(t) dt

For the first integral, since f(t) = 1 for t ≥ 0, we have:

∫[0, ∞] e^(-st) f(t) dt = ∫[0, ∞] e^(-st) dt

Evaluating the integral, we get:

∫[0, ∞] e^(-st) dt = [-1/s * e^(-st)] from 0 to ∞

                  = [-1/s * e^(-s∞)] - [-1/s * e^(-s0)]

                  = [-1/s * 0] - [-1/s * 1]

                  = 1/s

For the second integral, since f(t) = 0 for t < 0, we have:

∫[-∞, 0] e^(-st) f(t) dt = ∫[-∞, 0] e^(-st) * 0 dt

                         = 0

Combining the results, we have:

F(s) = 1/s + 0

    = 1/s

Now, let's consider the inverse Laplace transform of F(s) = 1/s. The inverse Laplace transform of 1/s is given by the formula:

f(t) = L^(-1){F(s)}

In this case, the inverse Laplace transform of 1/s is:

f(t) = L^(-1){1/s}

    = 1

Therefore, we have shown that the function e(t) can be represented as:

e(t) = lim(ε→0) 2π ∫[-∞, ∞] e^(-lzt) dz

which is equivalent to:

e(t) = 1, for t ≥ 0

e(t) = 0, for t < 0

This representation is consistent with the given function e(t) = {1, t≥ 0 and e(t) = 0, t < 0.

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The given function e(t) can be represented as: e(t) = lim(ε→0) 2π ∫[-∞, ∞] e^(-lzt) dz

To show this representation, we can start by considering the Laplace transform of e(t). The Laplace transform of a function f(t) is defined as:

F(s) = ∫[0, ∞] e^(-st) f(t) dt

In this case, we have e(t) = 1 for t ≥ 0 and e(t) = 0 for t < 0. Let's split the Laplace transform integral into two parts:

F(s) = ∫[0, ∞] e^(-st) f(t) dt + ∫[-∞, 0] e^(-st) f(t) dt

For the first integral, since f(t) = 1 for t ≥ 0, we have:

∫[0, ∞] e^(-st) f(t) dt = ∫[0, ∞] e^(-st) dt

Evaluating the integral, we get:

∫[0, ∞] e^(-st) dt = [-1/s * e^(-st)] from 0 to ∞

                 = [-1/s * e^(-s∞)] - [-1/s * e^(-s0)]

                 = [-1/s * 0] - [-1/s * 1]

                 = 1/s

For the second integral, since f(t) = 0 for t < 0, we have:

∫[-∞, 0] e^(-st) f(t) dt = ∫[-∞, 0] e^(-st) * 0 dt

                        = 0

Combining the results, we have:

F(s) = 1/s + 0

   = 1/s

Now, let's consider the inverse Laplace transform of F(s) = 1/s. The inverse Laplace transform of 1/s is given by the formula:

f(t) = L^(-1){F(s)}

In this case, the inverse Laplace transform of 1/s is:

f(t) = L^(-1){1/s}

   = 1

Therefore, we have shown that the function e(t) can be represented as:

e(t) = lim(ε→0) 2π ∫[-∞, ∞] e^(-lzt) dz

which is equivalent to:

e(t) = 1, for t ≥ 0

e(t) = 0, for t < 0

This representation is consistent with the given function e(t) = {1, t≥ 0 and e(t) = 0, t < 0.

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Answer:  25 ways.

Step-by-step explanation:

first we have  1,2,6. this can appear once.

4, can appear in twice.

\(= (3+2) * 5\\= 5*5\\= 25ways\)

by not including itself, an appearing on the left side. one number can be written 25ways

Answer:

It'll take a bucket loads of \(7 * 10^{20}\) to empty world's ocean

Step-by-step explanation:

Given

\(World\ Ocean: 1.4 * 10^9 km^3\)

\(Bucket: 20,000 cm^3\)

\(1 km^3 = 10^{15} cm^3\)

To get the number of bucket loads, we simply divide the size of the ocean by the size of the bucket;

\(Number = \frac{Ocean\ Size}{Bucket\ Size}\)

\(Number = \frac{1.4 * 10^9 km^3}{20,000cm^3}\)

Expand the numerator

\(Number = \frac{1.4 * 10^9 * 1km^3}{20,000cm^3}\)

Recall that \(1 km^3 = 10^{15} cm^3\)

So, the expression becomes

\(Number = \frac{1.4 * 10^9 * 10^{15} cm^3}{20,000cm^3}\)

Simplify the numerator using laws of indices

\(Number = \frac{1.4 * 10^{9+15} cm^3}{20,000cm^3}\)

\(Number = \frac{1.4 * 10^{25} cm^3}{20,000cm^3}\)

Expand the denominator

\(Number = \frac{1.4 * 10^{25} cm^3}{2 * 10,000cm^3}\)

\(Number = \frac{1.4 * 10^{25} cm^3}{2 * 10^4\ cm^3}\)

Split fraction

\(Number = \frac{1.4}{2} * \frac{10^{25} cm^3}{10^4\ cm^3}\)

\(Number = 0.7 * \frac{10^{25}}{10^4\ }\)

Simplify fraction using laws of indices

\(Number = 0.7 * 10^{25-4}\)

\(Number = 0.7 * 10^{21}\)

\(Number = 7 * 10^{20}\)

Hence, it'll take a bucket loads of \(7 * 10^{20}\) to empty world's ocean

Answer:

I DONT KNOW IM VERY SORRY CAN JUST PLEASE GIVE ME 5 STARS I WOULD APPRECIATE IT VERY MUCH...

Step-by-step explanation:

The content of the parallelepiped spanned by v1, ..., vn is given by ∣det((vi,vj))∣^1/2.

To show that the content of the parallelepiped spanned by v1, ..., vn is given by ∣det((vi,vj))∣^1/2, we can proceed as follows:

First, let's consider the vectors v1, ..., vn as columns of a matrix V, where each column represents one of the vectors. We have V = [v1, v2, ..., vn].

Next, let's compute the matrix product V^T * V, where V^T is the transpose of V. The resulting matrix will be an n x n matrix, denoted as A.

A = V^T * V

Now, we can calculate the determinant of matrix A, denoted as det(A).

det(A) = det(V^T * V)

Using the property that the determinant of a product of matrices is equal to the product of the determinants, we have:

det(A) = det(V^T) * det(V)

Since V^T is the transpose of V, the determinants of V and V^T are the same.

det(A) = det(V) * det(V^T)

Since det(V) is the same as the determinant of the parallelepiped spanned by v1, ..., vn, we can rewrite the equation as:

det(A) = det(V) * det(V)^T

Now, let's consider the square root of the determinant of matrix A.

√det(A) = √(det(V) * det(V)^T)

Since the determinant of a matrix and its transpose are the same, we have:

√det(A) = √(det(V) * det(V))

Simplifying further:

√det(A) = √(det(V)^2)

Taking the square root of the determinant, we have:

√det(A) = |det(V)|

Therefore, the content of the parallelepiped spanned by v1, ..., vn is given by ∣det((vi,vj))∣^1/2.

This result shows the relationship between the determinant of the matrix formed by the column vectors and the content (or volume) of the parallelepiped formed by those vectors.

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Multiplying the total number of children by the fraction that like chocolate yields \(32(3/8)=12\)

The ball traveled approximately \(26.27\) units in total.

To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.

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

Let's calculate the distance between Player A and Player B first:

Distance_AB =

\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)

\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)

Now, let's calculate the distance between Player B and Player C:

Distance_BC =

\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)

Finally, we can calculate the total distance traveled by adding the distances AB and BC:

Total distance = Distance_AB + Distance_BC

\(= 14.87 + 11.40 \\= 26.27\)

Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.

Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.

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Answer:

Any number in the form of p/q where p and q are integers and q is not equal to 0 is a rational number.

So, 323.2685109 is IRRATIONAL number.

no entiendo hingles......pero puedo puedo tener esos 5 puntos

Answer: The graph of h(x) passes the horizontal line test

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Edg 2020

The value of expression is,

⇒ x ÷ 12

We have to given that;

The algebraic expression is,

⇒ x divided by 12

Hence, We can formulate;

The value of correct expression is,

⇒ x ÷ 12

⇒ x / 12

Thus, The value of expression is,

⇒ x ÷ 12

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Answer:

I believe it is A

Step-by-step explanation:

I dont quite remember the formula, but I belive that 30 would be correct because if im remembering correctly the formulas are "a + b = c" and "c - (a/b) = (a/b)

a/b = a or b, depending what they give you

Answer:

45°

Step-by-step explanation:

This is a isosceles triangle and also a right triangle, so it means it have an 90° ingernal angle and the other two internal angles have the same value. Remember that the sum of the internal angles of a triangle is always 180°, so:

180° -90° = 90°

90°/2 = 45°

The volume of the Illustrated cone used as an example is 51.3cm³.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²

Let's say the radius is 7cm. The volume will be:

= 1/3 × 3.14 × 7²

= 51.3cm³

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The inequality describing Chau's goal to earn more than $1500 total this month is, $9b + $8u > $1500

This inequality represents Chau's goal to earn more than $1500 in total this month by working as a busboy and a theater usher.

The first term, $9b, represents the earnings from Chau's hours worked as a busboy, where $9 is his hourly rate as a busboy, and b is the number of hours worked as a busboy.

The second term, $8u, represents the earnings from Chau's hours worked as a theater usher, where $8 is his hourly rate as an usher, and u is the number of hours worked as an usher.

Total earnings = (hourly rate as busboy x number of hours as busboy) + (hourly rate as usher x number of hours as usher)

So, we can write the inequality for Chau's goal as follows:

$9b + $8u > $1500

where b is the number of hours worked as a busboy and u is the number of hours worked as an usher.

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Answer:

125

Step-by-step explanation:

Say prism A is a cube, and all the sides are x, then the volume of prism A is \(x^3\).

If you multiply each side by 5 (prism B), then each side is 5x, so the volume of prism B is \(125x^3\), which is 125 times more than \(x^3\).

Answer:

y=9x-10

Step-by-step explanation:

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

m=(17-(-1))/(3-1)

m=(17+1)/2

m=18/2

m=9

y-y1=m(x-x1)

y-(-1)=9(x-1)

y+1=9x-9

y=9x-9-1

y=9x-10

The probability that the mean of their test scores is greater than 78 is 0.0301.

Given,

Mean = 73

Standard Deviation σ = 7.8

Number of students randomly selected = 24

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x.

The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

The number of standard deviations from the mean is called the z - score and can be found by the formula

Z = (x - μ)/σ.

Z = (70 - 73)/(7.8/√24) = -1.88442228

P(z < -1.88) = 0.0301

Therefore, P(z < -1.88) = 0.0301

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Answer:

A

Step-by-step explanation:

Since the coefficient of the x² term is negative (we know this because if you look at C, the coefficient of x² is -2, which is negative) we know that the vertex will be the maximum. To find the vertex without having to be rewritten, a quadratic function should be written in vertex form which is y = a(x - c)² + d where (c, d) is the vertex. The answer choice that is written in vertex form is A.

Answer:

The answer is =72a¹¹b⁶

Step-by-step explanation:

hope that helps