Alison is training for a marathon, Last week, she ran 26 miles in 208 minutes, If she runs at that speed a, How long would it take her to run 15 miles?b. How far could she run in 20 minutes?c. How fast is she running in miles per minute? In miles per hour?

The correct option is (D) x+51=180

The equation which can be used to determine the value of x is , x+51=180

In the geometry, angle is defined as the geometry formed by the multiple rays. Or we can say that the angle is the figure formed by two rays which has same initial point. These rays are also known as the sides of an angle. A angle can have two rays.

Some common terms related to angle :

In the given question:

as (x-15) and 66 are supplementary angles therefore their sum is 180

i.e. (x-15) + 66 = 180

now solve the equation further,

=> x + 51 = 180

Thus, the correct option is the last option.

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Answer:

[tex] \sqrt[2]{?5} x25 \geqslant 6 - 9 + 88 = 2[/tex]

Answer:

f^-1(x)=(3/4)x

The area of the shaded region is equal to 425π / 18 square centimeters.

The picture indicates us that we must find the area of the shaded region, consisting in a circular section with a measure of central angle of 85° and a radius of 10 centimeters. The area (A), in square centimeters, can be found by using the following formula:

A = (α / 360) · π · r²

Where:

If we know that α = 85° and r = 10 cm, then the area of the shaded region is:

A = (85 / 360) · π · 10²

A = 425π / 18 cm²

The area of the shaded region is equal to 425π / 18 square centimeters.

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The balance owed on the credit card if the growth is exponential according to the equation is; $57,528.

It follows from the task content that the initial amount owed was; $800.

On this simple note, since the equation given in the task content for the exponential growth from above is;

f(x)=800(1+0.13)^x

So therefore, when x = 34.9 months; we then have;

f(x)=800(1+0.13)^34.9

f(x) = 800(1.13)^34.9

f(x) = 800 × 71.19

f(x) = $57,528

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A) There are a total of 8 elements in the data set. The elements can be determined simply by counting the total number of tablets in the data set.

B) There are a total of five variables in the data set. These are as follows-

1. Cost  

2. Operating System

3. Display Size (inches)

4. Battery Life (hours)

5. CPU Manufacturer

C) Categorical Variables are generally the one that are descriptive in nature.

Here, the categorical variables are-

1. Operating System

2. CPU Manufacturer

Quantitative Variables are the numerical variables which are usually expressed in numbers, count or percentage.

Here, the quantitative variables are-

1. Cost

2. Display Size (Inches)

3. Battery Life (hours)

D) The nominal scale is used to assign the items which are divided into categories without having a specific order. The ratio scale has the property of identity and magnitude.

The type of scale is-

Cost ($) - Ratio Scale

Operating system - Nominal Scale

Display size (inches) - Ratio

Scale Battery life (hours) - Ratio Scale

CPU Manufacture - Nominal Scale

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Answer:

The answer is the bottom right diagram.

Step-by-step explanation:

There is a 0.2073 = 20.73% chance that none of the adults that were chosen would state that they were underage when they got their first tattoo.

This is further explained below.

Generally,  the equation for Binomial probability distribution is  mathematically given as

[tex]P(X=x)=C_{n, x} \cdot p^x \cdot(1-p)^{n-x}[/tex]

Therefore

P(X=0)

[tex]\begin{aligned}&P(X=x)=C_{n, x} \cdot p^x \cdot(1-p)^{n-x} \\&P(X=0)=C_{5,0} \cdot(0 \cdot 27)^0 \cdot(0.73)^5=0.2073\end{aligned}$$[/tex]

In conclusion, There is a 0.2073 = 20.73% chance that none of the adults that were chosen would state that they were underage when they got their first tattoo.

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I don't know if u want this but ya :)

Solution:

Let f(x) = (x+3)^(1/3).

First, we have

lim_(x → -3) f(x) = (-3+3)^(1/3) = 0 = f(-3)

So f(x) is continuous at a = -3.

Next we have

lim_(h → 0) [f(-3+h) - f(-3)] / h

= lim_(h → 0) h^(1/3) / h

= lim_(h → 0) 1 / h^(2/3)

= infty

Since the limit does not exist, f(x) is not differentiable at a = -3.

Answer: D

The equation of the line passing through points (-3,0) and (0,3) is y=x+3.

The equation of the line passing through two points (x₁,y₁) and (x₂,y₂) can be calculated using the formula y-y₁=m(x-x₁)   ,  where m denotes the slope of the line .

from the given graph we can find that the line passes through the two points (-3,0) and (0,3)

we get the values , as x₁=-3 , x₂=0 and y₁=0 , y₂=3 .

Slope of the line can be calculated by using the formula ,

m=(y₂-y₁)/(x₂-x₁)

Substituting the values we get ,

m = (3-0)/(0+3)

m=3/3 = 1

Now substituting the values of x₁, x₂, y₁, y₂ and m in the formula of equation of line we get ,

y-0=1(x-(-3))

y-0=1(x+3)

y-0=x+3

y=x+3

Therefore , the equation of the line passing through points (-3,0) and (0,3) is y=x+3.

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Answer:

£45

Step-by-step explanation:

sum the parts of the ratio , 5 + 3 + 2 = 10 parts

divide the amount by 10 to find the value of one part of the ratio.

£150 ÷ 10 = £15 , then

3 parts = 3 × £15 = £45 ← amount Lucinda receives

Answer:

This is missing an explanation

Step-by-step explanation:

In this paragraph, there is no explanation as to why the reader should brush their teeth. The quote starts off by saying "You can brush and floss your teeth", yet only goes on to explain the reasons as to why flossing reduces your chances of getting cavities, and never touches on anything more about brushing. Therefore, the answer you are looking for is the last one, "This is missing an explanation".

Answer:

Point Form: (3,-4)

Equation Form: x=3 , y=-4

Step-by-step explanation:

This solution deals with linear equations with two unknowns.

Answer:

Step-by-step explanation:

Answer:

find the value of 8x³-y³ if 2x-yand xy

=-1

Answer:

y = 4/3x - 5

Step-by-step explanation:

y-intercept will be (0,-5)

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

m = (-5 -7)/(0 - 9) = (-12)/(-9) = 4/3

Using m = 4/3, y = 7, x = 9

y = mx + b

7 = 4/3(9) + b

7 = 12 + b

b = -5

so

y = 4/3x - 5

Answer:

x = 2

Step-by-step explanation:

5x^2 - 20x + 20 = 0

5 (x^2 - 4x + 4) = 0

x^2 - 4x + 4 = 0

x             -2

x             -2

(x - 2)(x - 2) = 0

-------------------------

x - 2 = 0

x = 2

-----------------------------

5x² - 20x + k = 0

k = - 5x² + 20x

k = - 5(2)² + 20(2)

k = -20 + 40

k = 20

Answer + Step-by-step explanation:

Consider the equation :

5x² - 20x + k = 0

∆ = b² − 4bc is the discriminant of the quadratic equation.

In our equation :

a = 5  ;  b= -20  ;  c = k

Then

∆ = (-20)² − 4×5×k

   = 20² − 20k

   = 20×(20 − k)   (Factoring)

The equation 5x² - 20x + k = 0 has exactly one real solution

if and only if  ∆ = 0.

Solving the equation ∆ = 0 :

∆ = 0

⇔ 20×(20 − k) = 0

⇔ (20 − k) = 0    (Zero product property)

⇔ k = 20

Answer:

Option 3

Step-by-step explanation:

When y is positive, there is always increase.

When y is negative, there is always decrease.

The equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is: y=-12x+360.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.

First of all let's write the slope-intercept form of the equation of a line, which is:

y=mx+b

where m is the slope and b is y intercept.

So we just need to find  m and b to solve this problem.

Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:

m=-12

Negative slope because Amir is descending. So:

y=-12x+b

To find b, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point (30,0
). Therefore, substituting this point into our equation:

y=-12x+b

0=12(30)+b

0=-360+b

b=360

Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:

y=-12x+360.

Therefore  the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is: y=-12x+360.

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The value of 2 in 2783 is 10 times the value of 2 in 7238

Place value of a number can be defined as the position of each digit in a number.

It is the value represented by a digit in a number on the basis of its position.

It is also known as system in which the position of a digit in a number determines its value.

Example:

The place value of 5 in 3500 is 500

The place value of 2 in 3240 is 200

Given the values:

2783 and 7283

The place value of 2 in 2783 is 2000

The place value of 2 in 7283 is 200

Find the quotient, we have:

= 2000/ 200

= 10

The value of 2 in 2783 is 10 times the value of 2 in 7238

Thus, the value of 2 in 2783 is 10 times the value of 2 in 7238

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The value of the expression become 5(y-3) (y-7) = 0. Thus , The option C is correct.

According to the statement

We have to find that the value of the given expression.

So, For this purpose, we know that the

Algebraic expression definition, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations

From the given information:

-5y^2 +50y - 105

Now to find the value of this

Rearrange the expression by taking the common values from this.

then

-5y^2 +50y - 105 = 0

-5y^2 +50y - 105 = 0

5(-y^2 +10y - 21) = 0

5(-y^2 +10y - 21) = 0

5(y^2 - 10y + 21) = 0

Now make factors of it then

5(y^2 - 7y - 3y + 21) = 0

5(y (y -7) -3(y-7)) = 0

5(y-3) (y-7) = 0

So, The value of the expression become 5(y-3) (y-7) = 0. Thus , The option C is correct.

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Answer:

x = 23

y = 139

Step-by-step explanation:

3x + 2x-5 + 70 = 180

5x = 115

x = 115/5

x = 23

y = 180 - (2x-5)

y = 180 - 41

y = 139

Answer:

hi hhhhhhdhwjwheheheuhehegdhue

Answer:

150 student now school gema plyar

Answer:

245

Step-by-step explanation:

it almost nneed 245 character

The right answer for the value of x is 4

Let us consider the small triangle to be ABC and the larger triangle to be ADE

where angle A is the common angle of both the triangle

By triangle proportionality theorem,

If a line parallel to one side of a triangle intersects the other two sides, the two sides are proportionally divided.

Thus line BC is parallel to DE and hence divides AB and AD as well as

AC and AE proportionally

Thus Triangle ABC is Similar to triangle ADE by SAS

Thus,

AB/BD=BC/DE=AC/CE

Thus, using AB/BD=AC/CE

it is given that AB=10,BC=7x-3,AC=8,CE=28-8=20

AB/BD=AC/AE

10/7x-3=8/20

10x20/8=7x-3

25+3=7x

x=4

Therefore, the correct value of the given X is 4

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Answer:

10 ( 12913 ) or 12913 * 10^1

Step-by-step explanation:

(1.28 x 10^5) + (1.13 x 10^3)

--------------------------------------------

1.28 = 128/100 = 128/10^2

1.13 = 113/100 = 113/10^2

-------------------------------------------

(128/10^2 * 10^5) + (113/10^2 * 10^3)           <---- 10^5/10^2 = 10^3

(128 * 10^3) + (113 * 10^1)

10^1 ( 128 * 10^2 + 113)

10^1 ( 12800 + 113)

10 ( 12913 )

3.1.1

Answer:

Debits and credits are used to monitor incoming and outgoing money in your business account. In a simple system, a debit is money going out of the account, whereas a credit is money coming in. However, most businesses use a double-entry system for accounting. This can confuse inexperienced business owners, who see the same funds used as a credit in one area but a debit in the other.

Double-Entry Accounting

When you look at your business finances, there are two sides to every transaction. This means that the rent is one account with a balance due and the business checking is another account that pays the balance due. So the same money is flowing but is accounting for two items. The double-entry system creates a chart of accounts. These include items such as rent, vendors, utilities, payroll, and loans.

3.1.2

Fixed Debit or Fixed debt:

A fixed debt or installment loan is generally one in which a borrower makes regular payments, where the debt has a beginning date, an end date, a fixed interest rate, and a fixed monthly fee (most installment loans are paid monthly). In other words, they adhere to a set amortization schedule. The interest on these type of loans are generally not tax deductible like mortgage loans and therefore are considered consumer debt. While many fixed-rate mortgages are fixed debts we have separated them since fixed debts outside of mortgages are considered consumer debt.

Types of fixed debts:

Flexible Debit Card :

The flexible Debit card is highly favorable and the most popular transaction account. With the Flexi Debit card linked to several Postbank Savings and Investment Products, the Flexi Debit card offers you Transactional flexibility and freedom.

One can deposit your salary into the account and withdraw the money as and when needed. You can also use it for shopping instead of carrying cash.

Any type of debit card is a flexible debit card

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