I need help with this please

answer:

17%

I hope this helps

Thus, equation shows the connection between the quantity of weeks, w, and the quantity of books gathered, b: b = 10w.

Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (at which line crosses a vertical y-axis) and slope (steepness) are instantly visible. This form is frequently known as the y = mx + b form.

The table shows an increase of 10 volumes every week in the total number of books acquired.

Weeks (w) Books Collected (b)

1                   10

2                  20

3                  30

4                   40

As a result, the quantity of books gathered and the number of weeks (w) have a linear relationship (b). The following equation can be used to illustrate this relationship:

b = mw + c

where w is the number of weeks, m denotes the slope (rate of change), and c denotes the number of books aquired at week 0.

The weekly shift in the amount of books gathered, which is 10, is the slope (m). By adding one of the points from table to the equation, we can now get the y-intercept (c). Use the first and tenth points:

10 = 10 * 1 + c

c = 0

Currently, the following equation reflects the relationship among the number of weeks (w) as well as the quantity of books gathered (b):

b = 10w + 0

b = 10w

Thus, equation shows the connection between the quantity of weeks, w, and the quantity of books gathered, b: b = 10w.

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Complete question:

The data in the form of a table, which shows the total number of books collected (b) for different number of weeks (w).

Weeks (w) Books Collected (b)

1                   10

2                  20

3                  30

4                   40

Trisha is collecting books to donate. The table below shows the total number of books collected, b, for different number of weeks, w. Which equation represents the relationship between the number of weeks, w, and the number of books collected, b?

Answer:

4.) 32 answer

Step-by-step explanation:

2×2 is 4

4× 8 is 32

Susan invested $7000 in the fund that paid a 9% profit, and the remaining (10,000 - 7000) = $3000 in the stock that suffered a 3% loss.

Let's assume that Susan invested x dollars in the fund that paid a 9% profit, and the remaining (10,000 - x) dollars in the stock that suffered a 3% loss.

The net profit from the investment in the fund would be 9% of x, or 0.09x dollars.

The net loss from the investment in the stock would be 3% of (10,000 - x), or 0.03(10,000 - x) dollars.

Given that her overall net profit was $540, we can write the equation:

0.09x - 0.03(10,000 - x) = 540

Now let's solve for x:

0.09x - 0.03(10,000 - x) = 540

0.09x - 300 + 0.03x = 540

0.12x = 540 + 300

0.12x = 840

x = 840 / 0.12

x = 7000

So, Susan invested $7000 in the fund that paid a 9% profit, and the remaining (10,000 - 7000) = $3000 in the stock that suffered a 3% loss.

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The value of k in the given graph is 4

Explain the term graph

A graph is a visual representation of data that displays the relationship between two or more variables. It consists of a set of points or vertices connected by lines or curves that represent the data points. Graphs are used to analyze and interpret data and to communicate information effectively in various fields, including mathematics, science, and business.

According to the given information

We are given that g(x) = f(x) + k, where f(x) and g(x) are two parabolas that open up and pass through the point (-3, -3) and (-3, 1), respectively.

Since both parabolas pass through the point (-3, -3), we know that:

f(-3) = -3

g(-3) = -3 + k = 1

Solving for k, we get:

k = 1 - (-3) = 4

Therefore, the value of k is 4.

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Answer:

691m^2

Step-by-step explanation:

This one is simpler than it looks. If you imagine the shape as a rectangle and two triangles, then move the triangle on the left over to the one on the right, the shape becomes a normal rectangle. Simply solve like your everyday quadrilateral.

area = base × height

a = 21m × 33m

a = 691m^2

The logarithmic form of the equation (1/7)³ = 1/343 is given as follows:

[tex]\log_3{\left(\frac{1}{343}\right)} = \frac{1}{7}[/tex]

A logarithm is a mathematical function that represents the power to which a given base must be raised in order to obtain a given number. Logarithms are often used to simplify calculations involving very large or very small numbers.

In this problem, we raise 1/7 to the third power to obtain the number 1/343, hence the logarithm of base 3 of the number 1/343 is of 1/7, and then the expression is given as follows:

[tex]\log_3{\left(\frac{1}{343}\right)} = \frac{1}{7}[/tex]

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The blanks when completed are

In a scale drawing, the scale factor represents the ratio of the size of an object in the drawing to the size of the corresponding object in real life.

In the given scale drawing, we have

Longest side in B = 12

So, the scale factor is

scale factor = size of object in drawing / size of corresponding object

This gives

scale factor = 12 / 4

scale factor = 3

This means that

Every side length in A grew by a factor of 3

Using the scale ratio formula, we have

A length in B/A corresponding length in A = 3

Lastly, the size of the angles remain unchanged

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The dimensions of each book are 3 inches by 8 by 9 inches.  The dimensions of the crate cannot be determined from the information provided.

A) The dimensions of the crate are 36 inches by 96 inches by 108 inches.

No. The dimensions of the crate cannot be determined from the information provided.

B) The total volume of the books is 2,592 cubic inches.

Yes. The volume of each book is 3 x 8 x 9 = 216 cubic inches. Therefore, the total volume of 12 books would be 12 x 216 = 2,592 cubic inches.

C) The crate could also hold 24 books that are each 3 inches by 8 inches by 9 inches.

Thus, The crate could not hold 24 books of the given dimensions because each book has a height of 9 inches, and the height of the crate is only 12 inches.

Therefore, the crate can only hold 12 books of the given dimensions.

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The length of an American football field including end zones is 21600 inches.

To convert yards to inches, we multiply by 36, since there are 36 inches in one yard.

Therefore, a football field that is 120 yards long is equivalent to 120 x 36: = 4320 feet. To convert feet to inches, we multiply by 12, since there are 12 inches in one foot.

Therefore, a 120-yard football field is equivalent to 4320 x 12 = 51,840 inches. However, we must also take into account the two end zones, which are each 10 yards long, or 360 inches. Thus, the total length of an American football field including the end zones is 120 x 36 x 12 + 2 x 360 = 21,600 inches.

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There are 1820 different orders possible for selecting any 4 toppings out of a list of 16 toppings.

To calculate the number of different orders possible for selecting any 4 toppings out of a list of 16 toppings,

we can use the combination formula:

nCr = n! / r!(n-r)!

where n is the total number of items, r is the number of items to be selected, and ! represents the factorial operation.

Substituting the given values, we get:

16C4 = 16! / 4!(16-4)!

16C4 = (16 × 15 × 14 × 13) / (4 × 3 × 2 × 1)

16C4 = 1820

Therefore, there are 1820 different orders possible.

Option D. 1,820 is the correct option.

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Answer: a

Step-by-step explanation:

Answer: (0,3)

x=0 ; y=3

Step-by-step explanation:

To solve the system of equations:

2x + 4y = 12

3x + y = 3

We can use the method of substitution or elimination. Here we will use the substitution method:

From Equation 2, we can isolate y:

y = 3 - 3x

We can substitute this expression for y into Equation 1:

2x + 4(3 - 3x) = 12

Simplifying and solving for x:

2x + 12 - 12x = 12

-10x = 0

x = 0

Now that we have found the value of x, we can substitute it back into either Equation 1 or Equation 2 to solve for y. Here we will use Equation 2:

3(0) + y = 3

y = 3

Therefore, the solution to the system of equations is (x, y) = (0, 3).

This means that the point (0, 3) is the intersection point of the two lines represented by the given equations. To verify this, we can substitute the values of x and y into both equations and see if they are true.

The answers are:

[tex]m \angle1+ m\angle2 + m\angle3=180^o[/tex]  is the sum of interior angles in a triangle.

[tex]m \angle1+ m\angle5 = m\angle AYX[/tex] is Definition of parallel lines.

[tex]m \angle AYX+m\angle 4=180^o[/tex] Definition of a straight angle

[tex]m\angle5=m\angle2[/tex] is Substitution

[tex]m \angle1+ m\angle5 + m\angle4=m \angle AYX+m\angle 4[/tex] Substitution

An angle in geometry is the measurement of the amount of rotation that occurs between two lines, rays, or line segments that have a shared endpoint, or vertex. Angles are expressed in terms of degrees, radians, or other angular measuring units.

A protractor, a tool with a semicircular or circular scale and degree markings, can be used to measure angles. Angles may also be labelled using symbols, such as ∠ABC or ∠PQR, in which the letter in the middle of the symbol designates the vertex of the angle.

An auxiliary line that is parallel to XZ given is the triangle formed by XYZ and AY.

[tex]m\angle 1+m\angle 2+m\angle3=180^o[/tex] Definition of the sum of interior angles in a triangle

[tex]m\angle1=m\angle AYX[/tex] Corresponding angles are congruent (alternate interior angles)

[tex]m \angle 2 = m \angle 4[/tex] Corresponding angles are congruent (alternate interior angles)

[tex]m \angle AYX + m \angle 4 = 180^o[/tex] Definition of a straight angle

[tex]m \angle 1 + m \angle 5 = m \angle AYX[/tex] Definition of parallel lines

[tex]m \angle 5 = m \angle 2[/tex] Substitution

[tex]m \angle 1 + m \angle 2 + m \angle 3 = m \angle 1 + m \angle 5 + m \angle 4[/tex] Substitution

[tex]m \angle 1 + m \angle 5 + m \angle 4 = m \angle AYX + m \angle 4[/tex] Substitution

[tex]m \angle 1 + m \angle 2 + m \angle 3 = m \angle AYX + m \angle 4[/tex] Transitive property of equality

[tex]m \angle 1 + m \angle 2 + m \angle 3 = 180^o[/tex] Substitution

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The surface area of the square base pyramid is 132 cm².

The surface area of the square pyramid can be found as follows:

A square pyramid is a pyramid that has its base as square.

Therefore,

surface area of the square pyramid = base area + 2al

where

Therefore,

surface area of the square pyramid = 6² + 2 × 6 × 8

surface area of the square pyramid = 36 + 96

surface area of the square pyramid = 132 cm²

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Answer:

Step-by-step explanation:

the answer is D

Answer:

D. 5¹⁵ is the correct answer.

second square

add up all the inches and youll see second had bigger number leading to the answer b

The function (5) is 10 given that f(x) = x + 5  if x ≥ 0

To solve for f(5), we have to look at the function rule that says f(x) = x + 5 if x ≥ 0. Following this rule we say f(x) = 5 + 5 = 10. The number 10 is greater than 0 which make it valid.

All other rule does not apply to finding f(5).

The above answer is in response to the full question below

if  f(x) = { 2x−3 if x ≤ -4

            {   x²  If -4 < x < 0

             {  x + 5  if x ≥ 0

What is f(5)?

A. 25

B. 7

C. -4

D. 10

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To simplify the expression 1/2 x + 3/4 - 5/8 x - 7/8 + 1/8 (x + 1), we'll need to combine like terms.
First, let's distribute the 1/8 to the expression in parentheses:
1/2 x + 3/4 - 5/8 x - 7/8 + 1/8 x + 1/8
Next, we can combine like terms:
(1/2 - 5/8 + 1/8) x + (3/4 - 7/8 + 1/8)
Simplifying the coefficients of x, we get:
(1/2 - 4/8 + 1/8) x + (3/4 - 6/8 + 1/8)
(1/2 - 1/8) x + (3/4 - 5/8)
(4/8 - 1/8) x + (6/8 - 5/8)
3/8 x + 1/8

Therefore, the expression 1/2 x + 3/4 - 5/8 x - 7/8 + 1/8 (x + 1) simplifies to the equivalent expression 3/8 x + 1/8.


I was a bit confused about what you were asking, please correct me if I am wrong!

the correct answers are E(-4, 5) and F(3, 2). According to given probabilities  condition

How to solve the question?

To find the coordinates of Checkpoints E and F, we need to first understand what is meant by "located at CD's location in a 180° rotation of the course."

A 180° rotation means that we flip the course upside down, with the line segment connecting Checkpoints C and D acting as the axis of rotation. This means that Checkpoints E and F will be on the same line as CD, with E being the reflection of C and F being the reflection of D across the line CD.

To find the coordinates of E, we reflect C across the line CD. To do this, we first find the slope of the line CD:

slope = (2 - 5) / (-3 - (-4)) = -3

The midpoint of CD is:

midpoint = ((-3 + (-4))/2 , (2 + 5)/2) = (-3.5, 3.5)

The line perpendicular to CD passing through the midpoint has slope -1/(-3) = 1/3. Using point-slope form, we can find the equation of this line:

y - 3.5 = (1/3)(x + 3.5)

Simplifying, we get:

y = (1/3)x + 4

To reflect C across CD, we can find the intersection point of this line with the line passing through C and CD. This line has slope -3 and passes through (-4, 5). Using point-slope form, we can find its equation:

y - 5 = (-3)(x + 4)

Simplifying, we get:

y = -3x - 7

Setting these two equations equal to each other, we get:

(1/3)x + 4 = -3x - 7

Solving for x, we get:

x = -4

Substituting this value back into either equation, we get:

y = 5

Therefore, the coordinates of Checkpoint E are (-4, 5).

To find the coordinates of F, we reflect D across CD. We can use a similar method as above to find the line passing through D and CD:

slope = (2 - 5) / (-3 - (-4)) = -3

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

Simplifying, we get:

y = -3x - 7

To reflect D, we find the intersection point of this line with the line perpendicular to CD passing through the midpoint:

y - 3.5 = (1/3)(x - (-3.5))

Simplifying, we get:

y = (1/3)x + 4

Setting these two equations equal to each other, we get:

(1/3)x + 4 = -3x - 7

Solving for x, we get:

x = 3

Substituting this value back into either equation, we get:

y = 2

Therefore, the coordinates of Checkpoint F are (3, 2).

So the correct answers are E(-4, 5) and F(3, 2).

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Answer:

2

Step-by-step explanation:

So there are 2 ways to do this, but the easy way is to do [tex]\frac{4}{1}[/tex] x [tex]\frac{4}{8\\}[/tex]

it becomes [tex]\frac{16}{8}[/tex] then divided 16 by 8 and it's 2.

Have a good day!

The indefinite integral, given the integral can be found to be √14x + C.

An indefinite integral is an antiderivative of a function. More specifically, if f(x) is a function, then an antiderivative of f(x) is a function F(x) such that F'(x) = f(x), where F'(x) represents the derivative of F(x) with respect to x.

To find the indefinite integral of a constant (in this case, √14) with respect to x, simply multiply the constant by x and add a constant of integration (C):

∫√14 dx = √14 × ∫dx = √14 × x + C

So, the indefinite integral of √14 with respect to x is:

√14x + C

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Answer:

First problem:

The correct pairs are 16 and 30, 26 and 38, and 22 and 34.

16 = 2 × 2 × 2 × 2, 30 = 2 × 3 = 5

26 = 2 × 13, 38 = 2 × 19

12 = 2 × 2 × 3, 28 = 2 × 2 × 7

22 = 2 × 11, 34 = 2 × 17

24 = 2 × 2 × 2 × 3,

32 = 2 × 2 × 2 × 2 × 2

gcf(16, 30) = gcf(26, 38) =

gcf(22, 34) = 2

gcf(12, 28) = 4

gcf(24, 32) = 8

Second problem:

f(x) = 3x - 5

f(2) = 3(2) - 5 = 6 - 5 = 1

f(3) = 3(3) - 5 = 9 - 5 = 4

f(4) = 3(4) - 5 = 12 - 5 = 7

f(5) = 3(5) - 5 = 15 - 5 = 10

The length of FG chord is 5 units.

What bout chord?

A chord is a line segment that joins two points on the circumference of a circle. More specifically, a chord is a straight line that intersects a circle at two points, and the segment of the line between these two points is called a chord.

The length of a chord can be calculated using the Pythagorean theorem, given the radius of the circle and the distance between the two points on the circumference. The length of a chord is always less than or equal to the diameter of the circle.

Chords have various applications in geometry, trigonometry, and calculus. For example, in trigonometry, the chord function is defined as the ratio of the length of a chord to the radius of the circle. In calculus, chords are used in the definition of the derivative, which is the slope of the tangent line to a curve at a given point.

According to the given information:

2(x + 2 )=  ( 5 x - 5 )

2x + 4 = 5x -5

9 = 3x

3 = x

The length of FG is = x+2 = 3+2 = 5 units

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The length of FG chord is 5 units.

What bout chord?

A chord is a line segment that joins two points on the circumference of a circle. More specifically, a chord is a straight line that intersects a circle at two points, and the segment of the line between these two points is called a chord.

The length of a chord can be calculated using the Pythagorean theorem, given the radius of the circle and the distance between the two points on the circumference. The length of a chord is always less than or equal to the diameter of the circle.

Chords have various applications in geometry, trigonometry, and calculus. For example, in trigonometry, the chord function is defined as the ratio of the length of a chord to the radius of the circle. In calculus, chords are used in the definition of the derivative, which is the slope of the tangent line to a curve at a given point.

According to the given information:

2(x + 2 )=  ( 5 x - 5 )

2x + 4 = 5x -5

9 = 3x

3 = x

The length of FG is = x+2 = 3+2 = 5 units

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A. The current flowing through the inductor at time T is given by i(T) = (2/250) * (1 -[tex]e^{-4t}[/tex])A B. The total stored energy in the inductor from t = 0 to t = T is given by W(T) = 2( [tex]e^{-4t}-e^{-8t}[/tex]) J.

Finding the region beneath a curve or the entire accumulation of a quantity over a given period is the goal of the mathematical procedure known as integration. It is the inverse operation of differentiation and is frequently employed in a number of scientific, mathematical, and engineering disciplines.

Finding an antiderivative—a function that, when separated from the original function being integrated—is a necessary step in the integration process. The symbol for this antiderivative is frequently ∫f(x) dx, where f(x) is the function being integrated and dx denotes an incredibly minute change in x. The outcome of the integration is a family of functions that differ from one another by a constant quantity called the integration constant.

A. We know that v(t) = L di(t)/dt, where L is the inductance of the inductor and i(t) is the current flowing through it at time t. We can rearrange this equation to get di(t)/dt = v(t)/L, and then integrate both sides with respect to time from t = 0 to t = T to get:

∫[0, T] di(t)/dt dt = ∫[0, T] v(t)/L dt

After integrating the left side, we get:

i(T) - i(0)

This becomes i(T) as the starting current is zero. When the right side is integrated, we get:

(1/L) ∫[0, T] v(t) dt

When we replace the given phrase for v(t), we obtain:

(1/L) ∫[0, T] 8 -[tex]e^{-4t}[/tex] dt

When we incorporate this expression, we get:

(1/L) * (-2  [tex]e^{-4t}[/tex] ) |[0, T]

When the integration and simplification limitations are swapped out, we obtain:

i(T) = (2/L) * (1 -  [tex]e^{-4t}[/tex] ) A

As a result, the current through the inductor at time T can be calculated as follows:

i(T) = (2/250) * (1 -  [tex]e^{-4t}[/tex] ) A

B. As of time T, the inductor's total stored energy is given by:

W(T) = (1/2) L i²(T)

We obtain the following by substituting the expression for i(T) from section A:

W(T) = (1/2) * 250 * [(2/250) * (1 -  [tex]e^{-4t}[/tex] )]²

Simplifying, we get:

W(T) = 2.5 * [(1 -  [tex]e^{-4t}[/tex] )²] J

We integrate this expression with regard to time from t = 0 to t = T to determine the total energy stored from t = 0 to t = T:

W(T) = ∫[0, T] 2.5 * [(1 -  [tex]e^{-4t}[/tex] )²] dt

We can rewrite this integral as follows by replacing the supplied expression for p(t):

W(T) = (1/8) ∫[0, T] p(t) dt

Integrating p(t) in relation to time results in:

p(t) = 64 ( [tex]e^{-4t}-e^{-8t}[/tex])

∫[0, T] p(t) dt = 16 ( [tex]e^{-4t}-e^{-8t}[/tex]) J.

When we use this expression to solve for W(T), we obtain:

W(T) = 1/8 * 16 ( [tex]e^{-4t}-e^{-8t}[/tex]) J.

Simplifying, we get:

W(T) = 2 ( [tex]e^{-4t}-e^{-8t}[/tex]) J.

As a result, the formula for the total energy stored in the inductor from t = 0 to t = T is as follows:

W(T) = 2 ( [tex]e^{-4t}-e^{-8t}[/tex]) J.

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Answer:

26π

Step-by-step explanation:

radius=13

double radius to find diameter

diameter=26

equation for circumference= π×d

circumference= 26π

The missing value in the table include the following: B. 4 1/2 in.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

50 5/8 = 5 × W × 2 1/4

Width, W = 4 1/2 inches.

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Complete Question:

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

Length Width Height

5 in. 214 in.

A. 79in.

B. 412in.

C. 134in.

D. 1018in.

y is a function of x.

A mathematical relationship between an input (x) and an output (y) where each input has exactly one output is known as a function. There are no multiple possibilities of y for a single value of x in the preceding equation, which expresses y as a combination of x², x, and a constant term. As a result, the equation meets the criteria for a function.

Yes, y = 2x² - 4x + 10 is a function.

A function is a mathematical rule that assigns to each input (x-value) exactly one output (y-value). In the given equation, for any value of x, we can calculate the corresponding value of y using the given equation. Therefore, y is a function of x.

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The probability of picking a jack and spinning an odd number is 2/9.

Let's first list the sample space in set notation for picking a card (jack, queen, or king) and spinning a 3-section spinner with the numbers 5, 8, and 9:

The sample space is {(jack-5, jack-8, jack-9, queen-5, queen-8, queen-9, king-5, king-8, king-9)}

Now, to find the probability of picking a jack and spinning an odd number, we need to count the outcomes that meet these conditions and divide it by the total number of outcomes in the sample space.

There are two outcomes that meet these conditions: jack-5 and jack-9.

So, the probability is the number of favorable outcomes divided by the total number of outcomes:

P(jack, odd number) = 2 (favorable outcomes) / 9 (total outcomes) = 2/9

Thus, the probability of picking a jack and spinning an odd number is 2/9.

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