Two consecutive positive integers such that the square of the second integer added to 4 times the first is equal to 41

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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Answer:

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

Answer:

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

Answer:

5mph=20 hours to do 100 miles with a bicycle

10mph=10 hours to do 100 miles with a bicycle

15mph=6hours 40minutes(maybe)to do 100miles with a bicycle

20mph=5 hours to do 100miles with a bicycle

25mph=4 hours to do 100 miles with a bicycle

the faster u go the time will decrease

the slower u go the time will increase

hope that helped I didn't really understand much

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 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:

[tex] \large{ \boxed{ \star{ \tt \: answer : 14 \: units}}}[/tex]

Please see the attached picture for full solution!

-------- HappY LearninG <3 -----

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:

Step-by-step explanation:

Answer:

80,000 A

Step-by-step explanation:

it is under 85000 so it is rounding down to 80,000

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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Answer:

Option 3

Step-by-step explanation:

When y is positive, there is always increase.

When y is negative, there is always decrease.

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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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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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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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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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:

£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:

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

The numbers arranged in a sequence will be - ∛100² < - 4.67 < - 4.25 Both Victor and Sean are correct.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Victor thinks that negative 28 / 6 Is greater than negative ∛100². Sean thinks that 17 / 4 is greater.

The value of the number negative 28 / 6 will be - 4.67.

The value of the number negative ∛100² will be - 21.54.

And the value of the number negative 17/4 will be - 4.25.

The numbers are arranged in a sequence.

- ∛100² < - 4.67 < - 4.25

Both Victor and Sean are correct.

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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

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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Answer:

Step-by-step explanation:

Answer:

150 student now school gema plyar

Answer:

hi hhhhhhdhwjwheheheuhehegdhue

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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Answer:

The answer is the bottom right diagram.

Step-by-step explanation:

Answer:

they all can't be divided