Todd is planning a vacation and is adding $5 per day towards his savings account for it. After 20 days he has a total of $150 in his savings
account.
a). Assuming this is linear relationship write an equation to model it.
b). How many days will it take Todd to build his savings up to a total of $250.

The equation that can be used to find the amount of bill payments Mike makes, from the $201.58 and the balance in the account of -$57.18, after making the payments is specified in option B.

B.) 201.58 - x = -57.18

An equation in mathematics is a mathematical statement that joins two expressions, with an 'equals to' mathematics symbol.

The initial amount in Mike's account = $201.58

The money in Mike's account after paying his bills = -$57.18

The amount of Mike's bill payment = x

Therefore;

The initial amount of money in Mike's account less the amount Mike paid as bills = The amount Mike has remaining in his account (his account balance)

Plugging in the values of the variables, we get;

The initial amount = 201.58

The amount of bill payments Mike makes = x

The balance in the account = -57.18

The equation, by plugging in the values becomes:

The correct option is therefore, option B

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The equation  201.58 - x = -57.18 with option B is the best equation Mike  can used to find the amount of bill payments from his bank account of  $201.58 and that of -$57.18, after making the payments is specified in

An equation is a mathematical model stating the equality of two sides.

The given parameters are

The initial balance = $201.58

Balance after paying bills = -$57.18

Mikes payment = x

The equation, by plugging in the values becomes:

201.58 - x = -57.18

The correct option is therefore, option B

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Answer:

intercepting lines

Answer:x=-7

Step-by-step explanation:

The value of the angle x will be equal to 36°.

A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be created by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.

Given that the minor arc is 144. The value of angle x will be calculated by the ratio of the difference between the major arc and the minor arc to the 2.

The angle x will be calculated as,

x = ( Major arc - Minor arc) / 2

x = ( 360-144-144) / 2

x = 72 / 2

x = 36

Therefore, the value of the angle x will be equal to 36°.

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Answer:

Step-by-step explanation:

You want to know the nature of the sequences ...

To determine if a sequence is linear, you look at the differences between terms. If they are all the same, then the sequence is linear.

Here, the differences are ...

Neither sequence is linear

A sequence that is exponential will have adjacent terms with the same ratio.

Here, the ratios are ...

The first sequence is not exponential. The second sequence is.

The sequences can be characterized as ...

__

Additional comment

You may have noticed that the differences of the first sequence have a common difference of 2. This constant 2nd difference means the sequence can be described by a 2nd-degree (quadratic) polynomial. In fact, each term is the square of its term number.

Point E is closer to point A.

"I have added screenshot of the complete question as well as the

diagram"

What is line segment ?

A line segment in geometry is a section of a straight line that is enclosed by two clearly defined end points and contains all of the points on the line that lie within those endpoints. The Euclidean distance between two endpoints of a line segment determines its length.

- In this diagram, line segment CD is the  perpendicular bisector of line

segment  AB

∴ AB ⊥ CD

∵ CD intersect AB at M

∴ M is the mid-point of AB

∴ The length of  AM = the length of MB

- Assume the conjecture that the set of  points equidistant from A

and B is the  perpendicular bisector of AB is true

∴ Any point lies on the line CD equidistant from A and B

- If point E lies on the line CD

∵ CD is the perpendicular bisector of AB

∵ E lies on CD

∴ The length of EA = The length of EB

- From the figure point E is on the left side of the line CD

∵ Point A is on the left side of the line CD

∵ Point B is on the right side of the line CD

∵ Point E is on the left side of the line CD

∴ The length of AE < The length of BE

∴ Point E is closer to point A

Complete question: In this diagram, line segment CD is the

perpendicular bisector of line segment

AB. Assume the conjecture that the set of

points equidistant from A and B is the

perpendicular bisector of AB is true. Is

point E closer to point A, closer to point B,

or the same distance between the points?

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Answer:

(y+1)³

Step-by-step explanation:

(y+1)⁵/(y+1)²

=(y+1)(y+1)(y+1)(y+1)(y+1)/(y+1)(y+1)

=(y+1)(y+1)(y+1)

=(y+1)³✓✓

Answer:

Step-by-step explanation:

First of all we do conversion.
We have 7.5hg which equals to 0.075kg or 75grams.
Then we use direct proportion where if one value increases so does the other which in this case is the weight of the item is directly proportional to the price of it. Therefor we get this.

Weight                     Money
75(grams)                35(Swedish Krona)|
1000(grams)            x

We cross mutiply.
35,000 divided by 75
so x = 466.67 Swdish Krona
(I Think)

Answer:3

Step-by-step explanation:

Answer: The answer is a meter or nothing, It depends on the answer you want

Step-by-step explanation:

If he has a rope that is a meter long, but then he takes that meter, he still has a meter, but if you plan on throwing that meter away, then you would have nothing

The product of the expression [3 + 1/10] (-6 x 7 / 12) is -10 + (17 / 20) = negative 10 and 17 over 20.

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that the expression { 3 + (1/10) } {-6 x (7 / 12) }

Simplifying the expression using PEMDAS,

{ 3 + (1/10) } {-6 x (7 / 12) }

= ( 31 / 10 ) × ( -7 / 2 )

= - 217 / 20

= -10 + (17 / 20)

= negative 10 and 17 over 20

Therefore, the value of the expression [3 + 1/10] (-6 x 7 / 12) is -10 + (17 / 20) = negative 10 and 17 over 20

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The value based on the given equation is 22.5

What is an equation?

In arithmetic,an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

According to given info.

u + t = 5        ------(1)

u - t  = 2        ------(2)

adding equation 1, 2  ;we get      

2u = 7

u = 7/2

using value of u in any equation,

7/2 - t = 2

t = 3.5 - 2

t = 1.5

we need to find value of

(u-t) (u²-1²)

(3.5 - 1.5) (3.5² -1²)

2*(12.25 - 1)

2*(11.25)

22.5

Hence the value of the function is 22.5

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The graph of the equation Y = x² and the 5x² + 4 is attached below.

Equation:

Equation is the combination of variables, numbers and constants.

Given,

Here we have to sketch the region enclosed by the given curves for the equations, Y = x² and Y = 5x² + 4.

Here we have to take some sample value for x to find the value of equations.

And then by using the values, we have to plot the graph through this.

x = -2, -2, 0, 1, 2

Then the corresponding value of y is calculated as,

=> x = -1 => y = 1

=> x = -2 => y = 4

=> x = 0 => y = 0

=> x = 1 => y = 1

=> x = 2 => y = 4

Similarly, the value of Y for the next equation is,

=> x = -2 => y = 24

=> x = -1 => y = 9

=> x = 0 => y = 4

=> x = 1 => y = 9

=> x = 2 => y = 24

Then the graph of the given equation is drawn as.

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B) X union Y complement

How should a set notation function be written?

The set of all functions f: X Y is denoted by the following notation: The set of all functions f: X Y is labeled Y X for any sets X and Y. Another helpful example of standard notation is as follows: Notation: The term |X|, or occasionally #X, is used to represent the number of elements in finite sets X.

In the above diagram we can see that the shaded region occupy the x and X ∩ Y so the correct option is B

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Answer:

72% of the trip is 169.2 miles

Step-by-step explanation:

[tex]\frac{235}{100} =\frac{y}{72}[/tex]

y · 100 = 235 · 72

100y = 16920

100y ÷ 100 = 16920 ÷ 100

y = 169.2

Answer:

X = 90°

Step-by-step explanation:

The figures cross sections form 4 90° angles.

The value of x for the given Right angled triangle is x= 8√3. So, option c is correct.

90 degrees or a straight angle is always one angle. The hypotenuse is the side that has an angle of 90° on it. Always, the hypotenuse is the longest side. The remaining two inner angles add up to a total of 90°. The bases and perpendiculars are the other two sides that are close to the right angle.

A right triangle is a triangle with one of the internal angles at 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

Given,

BD=28 and BC=12

CD=BD-BC

=28-12

=16

AB²=BC+AC²

AB²=(12)²+x²

x²=AB²-144 -----(1)

From ΔACD

AD²=AC²+CD²

AD²=x²+16²

x²=AD²-256 -----(2)

From ΔABD

BD²=AB²+AD²

784=AB²+AD²

2x²=AB²+AD²-144-256

2x²=784-144-256

2x²=384

x²=192

x=√192

x=√64×3

x=8√3

Therefore, The value of x for the given Right angled triangle is x= 8√3.

Hence, option c is correct.

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Real estate is any immovable property of this kind that has a stake in a piece of land, a building, or housing in general. It also includes the natural resources on the land, such as water, crops, minerals, and minerals.

How does this occur?

from a company real estate broker's office. The competitor's sales were equal to the average number of sales 8 months before jured began gathering data and again 2 and 6 months after he began gathering data. The relative minimum number of sales was lower than the relative minimum number of sales of Jared's office.

Use the sliders for a, b, c, and d to create a graph that could model the competitor's number of sales.

Graph is given below in Image.

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George is 17.55 cm taller than Alex. By simply subtracting the heights of the two, we get the required change between them.

Decimal subtraction is as similar to normal number subtraction. Here the subtraction starts from the decimals or the digits after the decimal point.

It is given that,

The height of George is 89.99 cm and the height of Alex is 72.44 cm.

Since 89.99 cm > 72.44 cm; George is taller than Alex.

To know how much he is taller, we just simply subtract the height of Alex from the height of George.

I.e., 89.99 cm - 72.44 cm = 17.55 cm

Therefore, George is 17.55 cm taller than Alex.

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The perimeter of the figure is 4d+6c - 6

The distance around the outside of a 2D shape is known as its perimeter. Add together the lengths of all the sides to determine the perimeter.

We have been given a figure. We are asked to write an expression for the perimeter of our given figure.

We know that perimeter of a solid is sum of all of its side.

We can see that opposite side of our given figure are equal and our given figure is a rectangle.

We know that perimeter of rectangle is two times the length and width of rectangle, so the perimeter of our given figure would be:

2×(2d- 3+3c)

Use distributive property:

2 × 2d - 2 × 3 + 2 × 3 c

4d -6+6c

4d+6c-6

Therefore, the perimeter of our given figure is 4d+6c - 6

The complete question is : Write and simplify an expression for the perimeter of each figure

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Answer:

y = [tex]x^2+2x+12[/tex] (x and y intercepts under "Step-by-step explanation" section)

Step-by-step explanation:

We can start by finding the vertex form and then expand it to the standard form.

The vertex form of the quadratic equation is

[tex]y=a(x-h)^2+k[/tex], where a is a constant and (h, k) is the vertex.

By plugging in 1 for a, -1 for h, and 11 for k, we have:

[tex]y=1(x-(-1))^2+11\\y=(x+1)^2+11[/tex]

Now we simply expand this vertex form to get the standard form:

[tex]y = (x+1)^2+11\\y=(x+1)(x+1)+11\\y=x^2+x+x+1+11\\y=x^2+2x+12[/tex]

We can find the x and y-intercepts using the vertex form.

To find the x-intercept, we plug in 0 for y:

[tex]0=(x+1)^2+11\\-11=(x+1)^2\\\sqrt{-11}=x+1;-\sqrt{11}=x+1\\ x_{intercepts}:(-1+\sqrt{-11}, 0); (-1-\sqrt{-11})[/tex]

The x-intercepts are non-real answers, so the quadratic equation never intersects the x-axis.

To find the y-intercept, we plug in 0 for x:

[tex]y=(0+1)^2+11\\y=1^2+11\\y_{intercept} =(0,12)[/tex]

The volume of a sphere is V = 4/3 x pi x r^3 .

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

V' equals (4 pi x r' x r'2) (4 pi x (.9 3) x r2 x r')

This equation expresses how quickly the rind volume changes over time.

As stated in the issue, r' = 2.

Additionally, the radius will be r = 2 * 5 = 10 after 5 weeks.

V' equals (4 pi x 102 x 2) (Pi x (.93) x 10 x 2) = -

V' is equal to (800 pi) - (800 pi x (.729)).

V' = (800 x pi) (1 - .729) (1 - .729)

V' = (800 x pi)(.271) (.271)

681.09 cubic centimeters make up V'.

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When we reject the null hypothesis and the null hypothesis is true, we have made a Type I error.

In statistical hypothesis testing, the null hypothesis is a statement that represents the anticipated or "normal" outcome of a specific experiment. Unless there is evidence to the contrary, the null hypothesis, which is generally represented by the symbol "H0," is taken to be true.

A Type I mistake, sometimes known as a "false positive," arises when the null hypothesis is correct but is rejected based on the evidence. Applying a statistical test with a strong significance level increases the likelihood of rejecting the null hypothesis even when it is correct, which frequently leads to this mistake.

Making a Type I error can have major repercussions since it can result in judgments being formed based on flawed information and wrong inferences being drawn.

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Explanation:

Angle R = angle A = 41 since both angles involve a single arc marking.

Angle S = angle B = 74, both involve a double arc

For any triangle, the inside angles always add to 180 degrees.

R+S+T = 180

41+74+T = 180

115+T = 180

T = 180-115

T = 65

Considering all the option and the question, We cannot determine anything about the angle is the right answer.

An angle is a geometric shape that is formed by two rays that share a common endpoint, called the vertex.

The vertex of an angle is the common endpoint of the two rays that form the angle. The vertex is also sometimes called the "corner" of the angle.

It is not possible to determine whether the angle of the ramp will decrease or increase without more information. The angle of the ramp is determined by the slope of the ramp, which is the change in height divided by the change in distance. If the ramp starts closer to the step, it will have a different slope, and therefore a different angle, than if it starts 5 feet away from the base of the step.

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Answer:

True

Step-by-step explanation:

|-7| (absolute value) removes the negative sign, and 7 is greater than -7 so the statement is true.

Fundamental Theorem of Line Integral, also called the Gradient theorem, tells us that line integrals through gradient fields are path independent and depend only on the initial and final values. correct answer is option 4 and 5

What does the Line Integrals Fundamental Theorem teach us?

In general, this theorem, like the Fundamental Theorem of Calculus, states that if we integrate a "derivative-like function" (f′ or f), the outcome depends only on the values of the original function (f) at the endpoints.

                       It is referred to be a conservative vector field if a vector field F is the gradient of a function, F=f.

The line integral of a gradient vector field depends only on the initial and terminal points of the path.

The workdone by gradient vector field is independent of path..

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The age of Mark, Taylor, & Brian's ages will be Whole numbers 36,37, and 38 respectively.

What exactly is a whole number?

Whole numbers are a collection of positive integers and zero that do not contain any fractions.

                       It is denoted by the letter "W," and its corresponding set of numbers are "0," "1, 2, 3,,","5,,"6,,"7,","8,"..."

It is given that Mark, Taylor, & Brian's ages are consecutive whole numbers, Mark is the youngest, and Brian is the oldest and the sum of their ages is 111.

Suppose the age of mark is x as a result the age of Taylor and brian will be x + 1 and x + 2 respectively.

From the given condition the sum of their ages is 111,

⇒x + x + 1 + x + 2 = 111

⇒3x + 3 = 111

⇒3x = 111 - 3

⇒3x = 108

⇒x = 108/3

⇒x = 36

The age of Mark, x =36

Age of Taylor, x+1 = 36+1 =37

Age of Brian, x+2 =36+2=38

Thus, if their age is in consecutive whole numbers. The age of Mark, Taylor, & Brian's ages will be  36,37, and 38 respectively.

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Answer: x=5

Step-by-step explanation:

x=5 possibly i put diff numbers

The correlation of the data set is positive

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

Line of fit for a data set: -3x+4y=-5

Write out the equation of the line

So, we have

-3x + 4y = -5

Make y the subject of the equation

So, we have the following representation

y = 3/4x - 5/4

A linear equation is represented as

y = mx + c

Where

slope = m

This means that the slope of the equation is

m = 3/4

The above number is a positive number

Hence. the correlation is positive

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