$35 at a simple interest rate of 2.5% for 2 year. Find the balance

The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.

Let's calculate the length of AB using the given coordinates for points A and B:

Coordinates of point A: A = (4, -5)

Coordinates of point B: B = (7, -9)

The distance formula is given by:

\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)

Substituting the coordinates of A and B into the formula:

\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)

d = √[9 + 16]

d = √25

d = 5

Therefore, the length of line segment AB is 5 units.

The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.

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Answer:

13

Step-by-step explanation:

You are multiplying x times 11 equals -143, so you do the opposite and divide -143 divided by -11 is 13.

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

I’m sorry but I could not find a pdf version of the Envision volume 2 book for 5th grade online. However, I found some websites that have answer keys and lesson plans for the book. You can check them out by searching for the following queries:

I hope this helps you with your homework.

Answer:

0.091%

Step-by-step explanation:

0.00091 in fraction =

\( \frac{91}{100000} \)

to percentage =

\( \frac{91}{100000} \times 100\% = \frac{9100}{100000} \%\)

=0.091%

i hope this helps

To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

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If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

Given the problem above, we need to find what the z-score is when P(x ≥ .75).

The formula for calculating a z-score is given by:

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

Where:

Now,

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)

\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)

\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)

\(Z=1 - 0.077337\)

\(Z\thickapprox 0.9227\)

Therefore, the z-score of P(x ≥ .75) is 0.9227.

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Answer:

the guy above is correct

Step-by-step explanation:

have a good day

Answer:

19.6 in²

Step-by-step explanation:

area of circle = π r²

= π (3 1/2)²

= π (5/2)²

= π 25/4

= 22/7 x 25/4

= 275/14

=19.6 in²

A repeating decimal is acceptable to use during calculations when you require a certain level of precision

A repeating decimal is acceptable to use during calculations when you require a certain level of precision, but it's important to keep in mind that the result will be an approximation rather than an exact value.

It is commonly used in situations where a rounded value is sufficient and the level of precision doesn't significantly impact the final result.

On the other hand, you should convert a repeating decimal to a fraction for calculations when you need an exact value or when further mathematical operations or comparisons are required.

Converting a repeating decimal to a fraction allows for precise calculations and eliminates any potential rounding errors associated with working with decimal approximations.

Converting a repeating decimal to a fraction involves identifying the repeating pattern and expressing it as a fraction. This allows for exact calculations and maintains the mathematical properties of fractions.

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Answer:

The input is x−2, therefore

Step-by-step explanation:

f(x−2)=(x−2)2−3(x−2)+1

The dimensions before tripling the radius of the cylinder are:

radius = 2 and height = 7 yd

and surface area = 113.1

The dimensions after tripling the radius of the cylinder are:

radius = 6 and height = 7 yd

surface area = 490.08

Given, we know that the dimensions are:

radius = 2 and height = 7 yd

therefore, surface area = 2πrh + 2πr²

= 2π2×7 + 2π(2)²

= 2×22/7×14 + 2π×4

= 88 + 25.12

= 113.1

After tripling the radius, we get:

radius = 6 and height = 7 yd

therefore, surface area = 2πrh + 2πr²

= 2π6×7 + 2π(6)²

= 2×22/7×42 + 2π×36

= 264 + 226.08

= 490.08

Hence we get the before and after dimensions of the cylinder.

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On applying the formula of perimeter the width of Lewis's cage is obtained as 14.86 inches.

What is perimeter?

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

Mathematically, the perimeter of a rectangle can be calculated by using this formula -

P = 2(L + W)

Where -

P represents the perimeter of a rectangle.

L represents the length of a rectangle.

W represents the width of a rectangle.

For the perimeter of Becky's rectangular cage, calculate the value -

Perimeter, P = 2(L + W)

Substituting the values and solving the equation -

Perimeter, P = 2(15 + 11)

Perimeter, P = 2(26)

Perimeter, P = 52 inches.

For the perimeter of Lewis's rectangular cage, the value given is -

Length of Lewis's rectangular cage is 0.75 times the length of Becky's cage.

L = 0.75W

The value for perimeter will be -

Perimeter, P = 2(L + W)

Solving the equation -

52 = 2(0.75W + W)

26 = (0.75W + W)

1.75W = 26

Width, W = 26/1.75

Width, W = 14.86 inches.

Therefore. the value for width is obtained as 14.86 inches.

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Equations are statements that have equal values, when compared

The true statement about \(x^2 + 10x = 11\) are x = 1 and x = -11

The equation is given as:

\(x^2 + 10x = 11\)

Rewrite as:

\(x^2 + 10x - 11 = 0\)

Expand

\(x^2 + 11x - x - 11 = 0\)

Factorize

\(x(x + 11) -1( x + 11) = 0\)

Factor out x + 11

\((x -1)(x + 11) = 0\)

Solve for x

x = 1 or x = -11

Hence, the true statement about \(x^2 + 10x = 11\) are x = 1 and x = -11

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Answer:

See attachment for plot

Step-by-step explanation:

Given

\(l = 4h\)

Required

Represent the scenario on a graph

When h = 0

\(l = 4h= 4 * 0 = 0\)

When h = 1

\(l = 4 * 1 = 4\)

When h = 2

\(l = 4 * 2 = 8\)

When h = 3

\(l = 4 * 3 = 12\)

When h = 4

\(l = 4 * 4 = 16\)

When h = 5

\(l = 4 * 5 = 20\)

So, we have:

\((h,l) = (0,0)\)

\((h,l) = (1,4)\)

\((h,l) = (2,8)\)

\((h,l) = (3,12)\)

\((h,l)= (4,16)\)

\((h,l)= (5,20)\)

See attachment for plot

Answer:

what are the options

Step-by-step explanation:

Answer:

Son las dos en punto.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) Find the figure attached. According to the figure, since line PQ is parallel to line RS, then <CBQ = <DCS (corresponding angle)

Also <BCS + <DCS = 180° (sum of angles on a straight line)

Given

<BCS = (5a+14)° and <DCS = <CBQ =(2a-9)°

Substituting this values into the formula to calculate the value of a;

(5a+14)°+(2a-9)° = 180°

5a+2a+14-9 = 180

7a+5 = 180

7a = 180-5

7a = 175

a = 175/7

a = 25°

Hence the value of a is 25°

B) From the diagram <ABQ = <BCS = 5a+14 (corresponding angle)

Substitute a = 25 into the expression

<ABQ = 5(25)+14

<ABQ  = 125+14

<ABQ = 139°

C) To get <BCR, we will use the formula;

<BCR + <BCS = 180

Given <ABQ = <BCS = 139°

<BCR = 180 - <BCS

<BCR = 180 - 139

<BCR = 41°

Answer:

Part A: 25

Part B: 139

Part C: 41

Step-by-step explanation:

5a+14+2a-9

a=25

5(25)+14

=139

2(25)-9

=41

Answer:

17/14

Step-by-step explanation:

2x(7)=14x

14x=17

x=17/14

PLEASE MARK BRAINLIEST

Answer:

the answer is  \(x=\frac{17}{14}\) or \(x=1.21\)

Explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

The steps for bisecting a line segment are to place the reflective device, draw the line of reflection, place the reflective device on point B, move the reflective device around, place the reflective device on point A and repeat the process.

This process implies creating a new line that is perpendicular to the original line, which means the new line will cross the original one. The steps for this are:

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Answer:

A)    x = 2, y = 2

Step-by-step explanation:

An asymptote of a curve is a line which the curve gets infinitely close to, but never touches.

From inspection of the graph, we can see there is a horizontal and a vertical asymptote, both indicated by the dashed straight lines.

The horizontal asymptote is y = 2  (blue dashed line)

The vertical asymptote is x = 2  (red dashed line)

Therefore, the asymptotes are:  x = 2, y = 2

Answer:

F for number 14

Step-by-step explanation:

Answer:

I think that it is y=24(x+204)

Answer:

Methods of obtaining a sample of 600 employees from the 4,700 workforce:

Part A:  The type of sampling method proposed by the CEO is Convenience Sampling.

Part B: When there are equal number of participants in both campuses, stratification by campus would give a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender.  Another method to ensure that stratification by campus gives a more precise approximation of the proportion of employees who are satisfied with the cleanliness of the breakrooms than stratification by gender is to ensure that the sample is proportional to the proportion of each campus to the whole population or workforce.

Step-by-step explanation:

A Convenience Sampling technique is a non-probability (non-random) sampling method and the participants are selected based on availability (early attendees).  The early attendees might be different from the late attendees in characteristics such as age, sex, etc.  Therefore, sampling biases are present.  All non-probability sampling methods are prone to volunteer bias.

Stratified sampling  is more accurate and representative of the population.  It reduces sampling bias.  The difficulty arises in choosing the characteristic to stratify by.

The number of seconds until both climbers meet each other would be 8. 72 seconds

Assuming the number of seconds is denoted as x, then the  height for Climber A would be:

= 48 feet - 3 x number of seconds

= 48 - 3x

For Climber B, the height would be:

= 2. 5 x

To find the number of seconds till they meet, equate the expressions :

2. 5 x = 48 - 3 x

2. 5 x + 3 x = 48

x = 48 / 5. 5

x = 8. 72 seconds

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Answer:

On sixth week , she collects 2⁶ = $64.

She saves 2(1+2+4+8+16+32) = $126 in all.

Answer:

at least 8

Step-by-step explanation:

Answer:

At least 8

Step-by-step explanation:

I took the test

Answer:

F=

5

9

×C+32

Given C = 40

F=\frac{9}{5}\times40+32=9\times8=32F=

5

9

×40+32=9×8=32

F = 104

Step-by-step explanation:

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Answer:

See below

Step-by-step explanation:

x = amount of 30 % alcohol to use     total amount of alcohol = .30 x

25-x = amount of 5% alcohol to use    total amount of alcohol = .05 (25-x)

total alcohol in ingredients = total alcohol in end product

  .30x   +  .05(25-x)             =    .15 (25)

    .25x + 1.25 = 3.75

         x = 10 gal = 30%     then 5 % = 25-10 = 15 gal