For each graph , be sure to label the x and y-axes , and use a consistent scale and interval that makes sense for each variable . Determine whether each graph is linear or nonlinear .Anthony opens a savings account by depositing $25 . He deposits $ 5 each week . The table below shows the relationship between the number of weeks , , and the X 1 total amount in Anthony's savings account , y. Use the table to graph this relationship .Circle one point on your graph . Write the ordered pair for this point . Use the variables to explain what this point tells you .

Taking the given equation to the power of 2 we get:

Simplifying the above result we get:

Adding 13 to the above equation we get:

Answer: t=29.

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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Answer:

x ≈ 30,37

y ≈ 29,00

Step-by-step explanation:

Use trigonometry:

\( \sin(38°) = \frac{9}{x} \)

Now, use the property of the proportion to find x:

\(x = \frac{9}{ \sin(38°) } ≈30.37\)

Do the same thing to find y:

\( \tan(38°) = \frac{9}{y} \)

\(y = \frac{9}{ \tan(38°) } ≈29.00\)

Answer:

- 1.67

Step-by-step explanation:

f(x) = \(\frac{3}{7+2}\) - \(\sqrt{7-3}\)

    =  \(\frac{3}{9}\) - \(\sqrt{4}\)

    = \(\frac{1}{3}\) - 2

    = - 1 \(\frac{2}{3}\)

    = -1.6666666

    = -1.67

Answer:

They would take 237,944 steps next month

Step-by-step explanation:

    1 1 1 1      

     118972

x             2

 237,944

So its asking you to add 118,972  by 118,972   using standard algorithm of addition.

Standard algorithm of addition is where you line the numbers your adding on top of eachother by place.

So you must the two numbers to get 237,944

the size factor will be 2.5.

Through a modification known as dilation, an object can be resized. By dilatation, the objects can be resized or enlarged. This transformation results in a shape that is a perfect replica of the original image. The form's dimensions do vary, though. An expansion or contraction of the original form is required for a dilatation. This shift is referred to as the scale factor.

The size disparity between the new and old photos is referred to as the scaling factor. The centre of dilatation is a fixed point in the plane. The scale factor and the centre of dilation determine the dilation transformation.

Given that the box has been enlarged by a scale factor of 4, its length, width, and volume have all been increased by 4 times from their original values.

as a result, it has dilated to 72.68

The volume of the box is dilated by a scale factor of 2.5 because the beginning amount of cereal was 12 ounces and the final amount was 18.75 ounces.

Hence the size factor will be 2.5.

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

The duration of the bond is approximately 0.0045 years or 1.64 days.

We can use the formula for bond price sensitivity to changes in yield to find the duration of the bond:

D = - (1/P) * (dP/dy)

where D is the duration, P is the price of the bond, y is the yield, and dP/dy is the derivative of the bond price with respect to yield.

We are given that the bond price is currently $1,050 and the yield is 7%, so we can plug these values into the formula:

P = $1,050

y = 7% or 0.07

Next, we need to find the derivative of the bond price with respect to yield, which is the percentage change in bond price divided by the percentage change in yield.

We know that if the yield increases by 20 basis points (0.20%), the price of the bond will decrease to $1,040. Using this information, we can calculate the percentage change in bond price and yield:

Percentage change in bond price = (new price - old price) / old price = ($1,040 - $1,050) / $1,050 = -0.0095 or -0.95%

Percentage change in yield = 0.20%

Using these values, we can calculate the derivative of the bond price with respect to yield:

dP/dy = (percentage change in bond price) / (percentage change in yield) = -0.0095 / 0.002 = -4.75

We can now enter each value into the duration formula as follows:

D = - (1/P) * (dP/dy) = - (1/$1,050) * (-4.75) = 0.0045 years or 1.64 days

Therefore, the duration of the bond is approximately 0.0045 years or 1.64 days.

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The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

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The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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Answer:

A

Step-by-step explanation:

Answer:

A) I hope I helped you ◉‿◉

Marcus jogged \(2\frac{1}{2}\) miles over the weekend.

Marcus jogged \(1\frac{2}{5}\) miles on Saturday and 9/10 miles on Sunday.

we first need to find a common denominator:

\(1\frac{2}{5}\)  = 7/5

9/10 = 0.9 miles

Now, we can round each of these to the nearest 1/2:

7/5 is closer to \(1\frac{1}{2}\) than 1, so we round to \(1\frac{1}{2}\)

0.9 is closer to 1 than 1/2, so we round to 1

Adding these rounded values, we get:

\(1\frac{1}{2}\) + 1 =\(2\frac{1}{2}\)

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Answer:

\(-\frac{3}{10}\)

Step-by-step explanation:

I hope this helps!

Answer:

-0.75 x 0.4= -0.3 or -3/10

Step-by-step explanation:

-3/4 translates to -0.75 and 2/5 translates to 0.4

As We can see that point J is on (-2,5) and L is on (-2,-2)

So we know that distance cannot be in negative, thus

Distance between J and L =5+2=7 units

JL=7

-32/9 feet/min fast is the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall. So the option a is correct.

In the given question, a 5 foot person walks at 40 feet per minute on a level path toward a vertical wall.

A light on the ground directly behind the person casts a shadow of the person on the wall.

The light is loo feet from the wall.

We have to find how fast the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall.

From the diagram given below;

dx/dt = 40 feet/min

y/100 = 5/x

Multiply by 100 on both side, we get;

y = (5×100)/x

y = (500)/x

dy/dt = -500/x^2(dx/dt)

Now putting the value of dx/dt

dy/dt = -500/x^2 *40

dy/dt = -20000/x^2

from the diagram given below, x = 75 feet

Now putting the value of x

dy/dt = -20000/(75)^2

dy/dt = -32/9 feet/min

Hence, -32/9 feet/min fast is the person's shadow on the wail changing in Length (in feet per minute) when the person is 25 feet from the wall. So the option a is correct.

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The surface area of the cube is 1536 ft².

We have,

The cube can be seen as 6 square areas in the net.

So,

The surface area of the cube.

= 6 x area of one square surface.

Now,

Side = 16 ft

Area of one square surface.

= side²

= 16²

= 256 ft²

Now,

The surface area of the cube.

= 6 x area of one square surface.

= 6 x 256

= 1536 ft²

Thus,

The surface area of the cube is 1536 ft².

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Answer:

(0, 1)

Step-by-step explanation:

you have to put the equation in the slope point form

y=mx+b and here b is the y-intercept (where it crosses the y axis)

y-4x=1 add 4x to both sides

y=4x+1 so the coordinats are (x=0, y=1)

Answer:

I think that actually all of them represent a function , except D .

hope it was helpful .

Therefore , the solution of the given problem of circle comes out to be arc length 3.93 feet.

Every area of the plane that is separated by a specific amount from this additional point makes a circle (center). As a result, it is a curve made up of spots that are separated from one another on the surface. Additionally, it rotates similarly about the centre at every angle. Every collection of endpoints in the confined, two-dimensional sphere of a circle is uniformly spaced apart from the "centre."

Here,

A circle with a radius of 3 feet is equal to its diameter as follows:

=> C = 2πr = 2π(3) = 6π feet

Since there are 360° of angles in a circle's centre, the angle for a 75° curve is:

5/24 of a complete circle is 75/360.

Therefore, the 75° arc's extent is

5/24 × 6π = 5π/4 ≈ 3.93 feet

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The final interval notation is  F ∩ H = [7, 4] &  F ∪ H = [-∞, ∞].

What is the interval notation?

A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.

We have,

F and H are sets of real numbers defined as follows.

F = { v l v < 4}

H = { v l v ≥ 7}

F is the set of all real numbers that are less than or equal to 4.  H is the set of real numbers greater than 7.

F U H is the union (or combination) of the two sets, so it is the set of all real numbers that are less than equal to 3 or greater than 6:

F ∩ H is the set of real numbers that are in both sets; but since F is less than or equal to 4 and H is greater than 7, there are no numbers that are in both sets.  Hence the answer is the empty set, Ø:

F ∩ H = Ø

F ∩ H = [7, 4]

F ∪ H = [-∞, ∞]

Hence, the final interval notation is  F ∩ H = [7, 4] &  F ∪ H = [-∞, ∞].

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Answer:

  M(h) = 73.18025h

Step-by-step explanation:

The composite function is ...

  M(B(L(h))) = M(B(28.75h)) = M(1.78(28.75h)) = M(51.175h)

  = 1.43(51.175h) = 73.18025h

The composite function is ...

  M(h) = M(B(L(h))) = 73.18025h

Answer:

a

Step-by-step explanation:

-12v+6y+18

you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18

i hope this helps :)

The area of the triangle MNO to the nearest tenth of an inch is 14.2 inches².

Given a triangle MNO.

It is given two sides and the included angle of the triangle.

The area of a SAS triangle can be found using the formula,

Area = \(\frac{1}{2}\) × ab × sin (C)

where a and b are the given sides and C is the included angle.

Here the given sides are,

n = 7.3 inches and o = 4.4 inches

Included angle is,

∠M = 118°

Using the formula,

Area = \(\frac{1}{2}\) × no × sin (M)

        =  \(\frac{1}{2}\) × (7.3)(4.4) × sin (118°)

        =  \(\frac{1}{2}\) × (7.3)(4.4) × 0.883

        = 14.18 ≈ 14.2 inches²

Hence the required area is 14.2 inches².

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\( {d}^{2} \div (4c) - b + 5a \\ = {(8)}^{2} \div( 4 \times 2) - 3 + 5 \times \frac{1}{5} \\ = 64 \div 8 - 3 + 1 \\ = 8 - 3 + 1 \\ = 9- 3 \\ = 6\)

Answer:

6

Hope you could understand.

If you have any query, feel free to ask.

The additional information that is obtained by measuring two individuals on an interval scale compared to a ordinal scale is the magnitude of the difference between the two measurements.

Measurement scale is an analysis tool used in statistics that are used to measure different variables. Examples of measurement scale are:

When measuring two individuals, on an interval scale the magnitude of the difference between the two measurements can be taken.

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Answer:

Step-by-step explanation:

a. x is negative: x < 0

b. y is nonnegative: y ≥ 0

c. q is less than or equal to π: q ≤ π

Answer:

a.

2. x < 0

b.

2. y ≥ 0

c.

5. q ≤ π

Step-by-step explanation:

To express the given statements as an inequality, we need to determine the relationship between the given quantities.

a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.

b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.

c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°