Solve the equation for all values of x.
2x(x + 7)(x²+49) = 0

Answer: Gradient: 3. y-intercept: 6

Step-by-step explanation:

By using the dimensional analysis 580 lb = 263.084 kg.

What is dimensional analysis?

Dimensional analysis, which is used in both engineering and science, examines the links between various physical quantities by determining their foundational quantities and units of measurement and then following these dimensions while computations or comparisons are made.

A technique for analysis that, in the absence of sufficient data to establish accurate equations, expresses physical quantities in terms of their fundamental dimensions.

We have to convert 580 lb into kg along with the dimensional analysis.

Since, 1 pound (lb) is equal to 0.45359237 kilograms (kg).

So,

580 lb = (0.4535927) x 580

580 lb = 263.0835746

580 lb = 263.084 kg

Hence, along with the dimensional analysis 580 lb = 263.084 kg.

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Answer:

The height is 12ft

Step-by-step explanation:

In order to find the height, you have to divide the area by the width which is 180ft divided by 15ft, you get 12ft, and if you double-check 15 x 12 gets you 180, which is the area.

By using the concept of volume of a sphere, the result obtained is

Radius of the tennis ball = 1.35 inch

What is Volume of a sphere?

Volume of the sphere is the total space taken by the sphere.

If r is the radius of the sphere, then the volume of the sphere is given by the formula

V = [tex]\frac{4}{3}\pi r^3[/tex]

Let the radius of the ball be r inch

Volume of the ball = [tex]\frac{4}{3}\pi r^3[/tex]

                               = [tex]\frac{4}{3} \times 3.14 \times r^3[/tex]

By the problem,

[tex]\frac{4}{3} \times 3.14 \times r^3 = 10.31\\r^3 = \frac{10.31 \times 3}{4 \times 3.14}\\r^3 = 2.46\\r = \sqrt[3]{2.46}\\ r = 1.35\ in[/tex]

Radius of the tennis ball = 1.35 inch

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The value of given ratio is 34.45 peso/kg as the given ratio are : 1 peso/0.053 dollar, 0.053 dollar/1 peso, 1 kg/2.2 lbs, 2.2 lbs/1 kg, 0.83 dollar/1lbs.

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls). The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two things.

Given ratio,

1 peso/0.053 dollar

0.053 dollar/1 peso

1 kg/2.2 lbs

2.2 lbs/1 kg

0.83 dollar/1lbs * 2.2 lbs/1 kg* 1 peso/ 0.053 dollar = 34.45 peso/kg

The value of the given ratio is 34.45 pesos per kilogram because the ratios are 1 peso/0.053 dollar, 0.053 dollar/1 peso, 1 kg/2.2 lbs, 2.2 lbs/1 kg, 0.83 dollar/1lbs.

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Step-by-step explanation:

the solution to a system of functions (lines or any other form of curve) is the point (or points), where they intersect.

in this case : the point (2, 0)

FYI : if there is no intersection, then there is no solution at all (like with parallel lines).

if the curves fully overlap for at least some distance, then we have infinitely many solutions (at least for real numbers). like for identical lines.

Answer:

B; 14 cents/1 ounce

Step-by-step explanation:

So you were given the information that there is 140 cents per 10 ounces. Now, we have to get that into a unit rate, which is a number over 1. It would have to be B because the info. was cents/ounces and typically money is over amount.

So you do 140/10

That equals out to 14/1

So it is 14 cents/1 ounce.

Hope this helps!!! :)

The rational function is (x + 2)/(x - 3)(x + 2) which has a vertical asymptote at X = 3, and a removable discontinuity at x = -2.

Function

The function is referred as a mathematical expression that defines a relationship between one variable and another variable.

Given,

Here we need to construct a rational function that has a vertical asymptote at x = 3 and a removable discontinuity at x = -2.

Through the given question, we have been given that the rational function that has a vertical asymptote at x = 3, and a removable discontinuity at x = -2.

Here the x = 3 is a vertical asymptote.  

So the one factor in the denominator is (x - 3),

And the discontinuity at x = - 2 can be removed, so the another common factor in the numerator and denominator is x+2.

Therefore, the rational function would be :

f(x)  = (x + 2)/(x - 3)(x + 2)

So, the rational function would be (x + 2)/(x - 3)(x + 2).

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Answer:

70

Step-by-step explanation:

If lines l and m are parallel, then using the corresponding angles theorem, the angle that forms a linear pair with angle [tex]x[/tex] is [tex]110^{\circ}[/tex].

This means that [tex]x=70[/tex].

The solving linear equation states that the temperature of the oven is 119 after an minute.

A linear equation is just an algebraic equation of something like the form y=mx+b that only contains a constant and a first-order (linear) component, where m represents the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where y and x are now the variables.

Given:

y = 40x+79

X = number of minutes using it to bare:

When X = 1

y = 40(1)+79

y = 119

It means that the temperature of the oven is 119 after an minute.

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Considering the area of a square, the measure of how close to the ideal length should each tile be controlled is of:

A. 0.098 cm.

The area of a square of side length s is given by the square of the side length, hence the equation is:

A = s².

For a floor with area of 625 cm², the side length is:

s² = 625

s = square root of 625

s = 25 cm.

Considering the error tolerance, the possible areas are given as follows:

The side length for the smallest area would be of:

s² = 620

s = square root of 620

s = 24.90 cm.

The side length for the largest area would be of:

s² = 630

s = square root of 630

s = 25.098 cm.

The smallest difference, from the side lengths with tolerance to the standard side length, is of:

25.098 - 25 = 0.098 cm.

Meaning that option A is the correct option.

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Answer:

Option D: 8.19 inches

Step-by-step explanation:

i hope this helps..have a great day! :)

Answer:

195312

Step-by-step explanation:

Using the formula for the sum of a geometric sequence,

[tex]\frac{2(1-(5)^8)}{1-5}=195312[/tex]

Answer:

a. $195

b. $4,195

Step-by-step explanation:

Interest: $4,195 - $4,000 = $195

Two heads in three tosses is 3/8, 3/8x713=267.375. 267.375×41=10,962.375.

5/8x713=445.62, 445.62×29=12,923.125

So 10,962.375-12,923.125=-1960.75

Therefore if you played this game, you would statistically lose $1960.75

Answer:

N6000

Step-by-step explanation:

4 days 12000

2 days. ?

12000*(2/4) = 6000

The analysis of the given functions is as follows;

i. y = 16ˣ ⇒ Graph C

ii. y = 0.25ˣ ⇒ Graph B

iii. y = 4.5ˣ ⇒ Graph D

iv. y = 0.5ˣ ⇒ Graph A

v. y = 10·x + 1 ⇒ Graph E

(b) The equation of the exponential function is; y = 0.375ˣ

(c) The equation of the line is; y = 10·x - 4

(d) y = 25ˣ

(e) The equation of the perpendicular line is; y ≈ 5 - 0.1·x

An exponential function in which the argument is the index value such that the power to which a constant is raised, is the argument.

i. The values of the function y = 16ˣ is given by the function that has a value of 4 when x = 0.5, which corresponds with the graph C

ii. The function, y = 0.25ˣ decreases as the value of x increases, from negative to positive which corresponds to the graph B

iii. The function y = 4.5ˣ has a value of 4.5 when x = 1, which corresponds with the graph D

iv. The function, y = 0.5ˣ also decreases as x increases and has a value of  5 when x = -1, which corresponds to the graph A

v. The function, y = 10·x + 1 is a linear function which corresponds with the graph E

(b) The exponential function of graph A and B are y = 0.5ˣ and y = 0.25ˣ respectively

An exponential function that lies between graph A and graph B is obtained by adjusting the y-intercept value to be between 0.5 and 0,25 as follows;

[tex]y =\left(\dfrac{ 0.5 + 0.25}{2}\right)^x = 0.375^x[/tex]

The exponential function that is located between  graph A and B is 0.375ˣ

(c) The equation of the function of graph E is; y = 10·x  + 1, which is of the form y = m·x + c

Where comparing, we get, m = 10 = The slope of the graph

The slope of parallel lines are congruent, therefore, the slope of the line parallel to the line E is also 10

The equation of the line passing through (0, -4), and parallel to the graph E in point and slope form is y - (-4) = 10·(x - 0)

y + 4 = 10·x

The equation of the line is; y = 10·x - 4

(d) An equation for an exponential function with a higher constant percent rate than graph C, y = i6ˣ is y = 25ˣ

(e) The slope of the line perpendicular to the line E, y = 10·x + 1, that has a slope m, is found as follows;

[tex]m_{\perp} = -\dfrac{1}{m}[/tex]

[tex]m_{\perp} = -\dfrac{1}{10} = -0.1[/tex]
The equation of the line is therefore; y - 5 = -0.1 × (x - 0)

y = -0.1·x + 5 = 5 - 0.1·x

The equation of the line perpendicular to line E  is y = 5 - 0.1·x

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The Sales of the electronic store in 1 year is 66,776.88    

Applications of Compound interest:

Compound interest is an interest that is calculated on the principal and the interest accumulated over the previous period. The concept of compound interest can be used in different types of situations like an Increase in population or a decrease in population, Depreciation, or increasing the value of an item, etc.

The formula for compound interest is given by

Total amount, A = P(1 + r/n)^nt  

where  P = initial amount

r = rate of increase              

n = number of compounds in year

t = time period in years

Here we have,

The rate of increase in sales r = 2.7% (per monthly)  

=> r = 2.7/100 = 0.027

Here sales are increased monthly

then the number of compounds per year = 12

Sales in this month, P = 65000  

From above formula

Sales in 1 year, A = 65000(1 + 0.027/12)¹²

= 65,000(1 + 0.00225)¹²

= 66,776.88    

Therefore,

Sales of the electronic store in 1 year =  66,776.88      

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Number of camels are there at the safari park are 6 unit.

The animals at a safari park include camels, kangaroos and meerkats.

Let kangaroos are represented as K and Camels are represented as C and Meerkats are represented as M.

There are 12 more kangaroos than there are camels which means

K = C + 12.

There are 3 times as many meerkats as there are camels which means

M = 3C.

There are the same number of kangaroos as there are meerkats which means

K = M

If K = M

therefore,

3C = C + 12

2C = 12 ,

C = 6 unit.

So, K = 6 + 12 = 18

Or M = 18

Therefore  number of camels, kangaroos and meerkats at the safari park are 6 , 18 and 18 respectively.

Number of camels are there at the safari park are 6 unit.

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Answer:

8×2+8×g

Step-by-step explanation:

Answer:

Perimeter: 20 mi

Area: 22.44 mi^2

Step-by-step explanation:

perimeter formula for a rectangle is 2 times length plus 2 times width

2(3.4)+2(6.6)

6.8+13.2

20 is the perimeter

Now for the are we multiplying the length and width to find area

3.4x6.6

22.44 is the area

Hopes this helps please mark brainliest

Answer:

43, 45 are the numbers

Step-by-step explanation:

Answer:

it is a subset where you are going to make sets from that one set

Answer: C

she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.

Answer: 23/100

Step-by-step explanation: You would automatically just round it to .23. With any fraction you put it over 100. 23/100 then divide by a factor but for this one there is no simplified fraction so 23/100

The solutions for the graphed linear inequality are (-4, 0), (-1, 4), (0, 0), and (-2, 0). The correct options are A. (-4, 0), B. (-1, 4), C. (0, 0), and E. (-2, 0)

From the question, we are to determine all of the solutions for the linear inequality whose graph is given

To do this, we will find the points that fall in the solution region (shaded portion of the graph)

The point (-4, 0) falls in the solution region. Thus, it is a solution for the linear inequality.

The point (-1, 4) falls in the solution region. Thus, it is a solution for the linear inequality.

The poi0nt (0, 0) falls in the solution region. Thus, it is a solution for the linear inequality.

The point (4, -1) does not fall in the solution region. Thus, it is not a solution for the linear inequality.

The poi0nt (-2, 0) falls in the solution region. Thus, it is a solution for the linear inequality.

The point (0, -2) does not fall in the solution region. Thus, it is not a solution for the linear inequality.

Hence, the solutions are (-4, 0), (-1, 4), (0, 0), and (-2, 0).

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The inequality that represents the number and type of shots the player needs to win the title is -

x + 2y ≥ 28

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have A basketball player in a game who makes [x] free throws worth 1 point and [y] free throws worth 2 point baskets. The player needs to score at least 28 points to win the scoring title.

The inequality that represents the number and type of shots the player needs to win the title is -

x + 2y ≥ 28

Therefore, the inequality that represents the number and type of shots the player needs to win the title is -

x + 2y ≥ 28

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