which of the following expressions has a coefficient of 10 and a constact of 5

Natural number multiplication is commutative.

The given number is commutative as -

7.4.1.5 = 5.1.4.7

The answer will always be same irrespective of the order in which it is multiplied

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If shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. The percent increase in sales that this represent is: 20%.

Using this formula

Percentage increase= Percentage increase in share price / Initial percentage x 100%

Let plug in the formula

Percentage increase= 0.9% / 4.5% x 100%

Percentage increase=20%

Therefore If shareholders in an electronics company were informed that the company's market share increased from 4.5% to 5.4%, a rise of 0.9 percentage points. The percent increase in sales that this represent is: 20%.

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Answer: 7.49

Step-by-step explanation:

7 is above 5, so we round up from .48 to .49.

Answer:  First graph

Step-by-step explanation:

We first rewrite the equation in slope-intercept form y = ax + b, where a is the slope and b is the y-intercept(where x is equal to 0).

24x + 64y = 384

         64y = -24x + 384

             y =  [tex]-\frac{24}{64}[/tex]x + 6

The y-intercept for this graph is equal to 6. Only the first graph satisfied the slope of the linear equation that we are looking for. In the first graph, when x was equal to 0, y was equal to 6.

Answer:

The last option

y = ⅓x-3

Step-by-step explanation:

Slope-intercept form :

y=mx+c

[tex]x - 3y = 9 \\ - 3y = - x + 9 \\ \frac{ - 3y}{ - 3} = \frac{ - x}{ - 3} + \frac{9}{ - 3} [/tex]

[tex]y = \frac{1}{3} x - 3[/tex]

Answer:

Step-by-step explanation:

where is the swan?

The device numbers should be less than 18.

Given, internet service provider is charging a rate of $175 per month.

The new plan would charge $94 plus an additional $4.50 per device connected to the network.

we need to find the number of devices for which the cost of the new plan is less than the cost of the current plan.

old plan = $175

New plan = $94 plus $4.50 per device

let us suppose 'x' devices can be connected.

so, 94 ₊ 4.5x < 175

4.5x < 175 ₋ 94

4.5x < 81

x < 81/4.5

x < 18

less than 18.

Hence there should be less than 18 devices connected for the new plan.

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The value of the underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.

As given in the question,

Given number = 2.439 , 1.987 ,  6.175 , and 0.618

Value of underlined digit :

2.439 = Tenth or 4 / 10

1.987 = Thousandth or 7/1000

6.175 = Ones or 6

0.618 = Hundredth or 1/100

Therefore, the value of the underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.

The complete question is :

How do i write the value of this underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 ?

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1. A. 2/3 of the volume of the rectangular prism crate = 5.7 ft³

B. Amount of space the dog will occupy is: 2.55 ft³. Josiah should buy the medium crate.

2. 21.05 ft²

The volume of a rectangular prism = (length)(width)(height).

1. Part A:

Length of the rectangular prism crate = 2.5 ft

Width = 1.7 ft

Height = 2 ft

Volume of the rectangular prism crate = (2.5)(1.7)(2)

Volume of the rectangular prism crate = 8.5 ft³

2/3 of the volume of the rectangular prism crate = 2/3(8.5) = 5.7 ft³

Part B:

Amount of space the dog will occupy = volume = (length)(width)(height).

Length = 2 ft

Height = 1 2/3 = 1.7 ft

Width = 3/4 = 0.75 ft

Amount of space the dog will occupy = volume = (2)(0.75)(1.7)

Amount of space the dog will occupy = volume = 2.55 ft³

The space the dog will occupy is less than 2/3 of the space of the crate, therefore, Josiah should buy the medium crate.

2. Amount of fabric needed to cover the crate = surface area of rectangular prism - (lw) = 2·(1.7·2.5+2·2.5+2·1.7) - (2.5)(1.7)

= 25.3 - 4.25

= 21.05 ft²

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Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

First Question:

  [tex]\text{Copy the equation}\\\hookrightarrow \frac{xy^4}{x^3y^2} \\\\\text{Exponents with common bases when dividing from each other}\\\hookrightarrow \text{the power of the denominator can be subtracted from the power of the numerator}\\ \text{ --- } \dfrac{xy^4}{x^3y^2} =\dfrac{x}{x^3}*\dfrac{y^4}{y^2}=x^{1-3}*y^{4-2}=x^{-2}*y^{2} =\dfrac{y^2}{x^2}[/tex]

Second Question:

[tex]\hookrightarrow\text{simply start from the most inner calculation before going out}[/tex]

  [tex]\text{---}-(-x)^3= -1 *(-1 * x)^3=-1*(-1)^3*x^3=-1*-1*x^3=x^3[/tex]

Answer:

Hope that helps!

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Answer: 401

Step-by-step explanation:

-177 + 578 = 401

Los ciclistas se encuentran aproximadamente 140 segundos después de partir.

En este problema asumimos que cada ciclista se mueve a rapidez constante, de modo que la rapidez angular de cada uno se define como sigue:

ω = 2π / T         (1)

Donde:

A su vez, la posición de cada ciclista es descrita por las siguientes dos ecuaciones paramétricas:

x / R = cos ωt   (2)

y / R = sin ωt    (3)

Donde:

Primero, determinar la rapidez angular de cada ciclista:

ω₁ = 2π / 105 s

ω₁ ≈ 0.060 rad / s

ω₂ = 2π / 60 s

ω₂ ≈ 0.105 rad / s

Segundo, procedemos a graficar cada función paramétrica y determinamos el primer punto de intersección. Los resultados se encuentran en las imágenes adjuntas. Nótese que las curvas verde y púrpura se basan en la ecuación (2), mientras las curvas azul y rojo lo son de la ecuación (3).

Los dos ciclistas se encuentran por primera vez si las cuatro ecuaciones tienen el mismo valor t. En consecuencia, los ciclistas se encuentran aproximadamente 140 segundos después de partir.

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Answer:i have same question

Step-by-step explanation:

The graph of the combined inequality, 1 < y + 7x ≤ 12, is shown below. The correct graph is graph b.

From the question, we are to graph the given inequality

The given inequality is

1 < y + 7x ≤ 12

First, we will separate the inequality

1 < y + 7x and y + 7x ≤ 12

1 < y + 7x

We will determine two points on the line

1 = y + 7x

When x = 0

1 = y + 7(0)

1 = y

y = 1

(0, 1)

When y = 8

1 = y + 7x

1 = 8 + 7x

1 -8 = 7x

-7 = 7x

x = -7/7

x = -1

(-1, 8)

We can use these two points to plot the line of 1 < y + 7x

Also,

We will determine two points on line y + 7x ≤ 12

y + 7x = 12

When x = 0

y + 7(0) = 12

y + 0 = 12

y = 12

(0, 12)

When y = 5

5 + 7x = 12

7x = 12 - 5

7x = 7

x = 7/7

x = 1

(1, 5)

We can use these two points to plot the line of y + 7x ≤ 12

The graph of the combined inequality, 1 < y + 7x ≤ 12, is shown below. The correct graph is graph b.

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Answer:

Multiplicative inverse or reciprocal.

Step-by-step explanation:

Multiplicative inverse or reciprocal.

Answer:

The function is odd.

Step-by-step explanation:

A function is always odd when f(−x) = −f(x). In this case, that rule applies.

[tex]-f(x)=-(x^3+5/x)\\-f(x)=-x^3-5/x\\-x^3-5/x=-x^3-5/x = odd[/tex]

L = 1.3245 is  the legnths of the pen's sides .

What is area and perimeter?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The equation for perimeter is 2L + W = 30 ( I'm assuming that the shed takes up one of the Widths, but you can use the Length if you want, it doesn't matter.)

So W = 30 - 2L.

Area = L x W = L (30 - 2L) = 30L - 2L^2.

This is a quadratic equation, easily graphed as a parabola, with a maximum point at L = 1.3245 .

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Answer:the answer is 4 kg

Step-by-step explanation:

i can¡ explane u i see the rpta

Answer:

13/4

Step-by-step explanation:

_______________________________

Step-by-step explanation:

the slope is (y coordinate change / x coordinate change) when going from one point on the line to another.

the direction does not matter, but it is essential that once a direction is picked for one coordinate, we use the same one then also for the other.

I prefer to go from left to right, so (-5, 0) to (-4, 2) :

x changes by +1 (from -5 to -4).

y changes by +2 (from 0 to 2).

so, the slope is +2/+1 = 2/1 = 2.

The table which represents the function g(x) is: answer option A.

x                g(x)

1                  -3

2                  3

3                  9

In Mathematics, a function can be defined as a mathematical expression which can be used to define and show the relationship that exist between two or more variables in a data set.

This ultimately implies that, a function typically shows the relationship between input values and output values of a data set, as well as showing how the elements in a table are paired (mapped).

When x = 1, the function f(x) is given by:

f(x) = 2x − 3

f(1) = 2(1) − 3

f(1) = 2 - 3

f(1) = -1.

Therefore, the function g(x) = f(3x) = 3 × -1 = -3.

When x = 2, the function f(x) is given by:

f(x) = 2x − 3

f(2) = 2(2) − 3

f(2) = 4 - 3

f(2) = 1.

Therefore, the function g(x) = f(3x) = 3 × 1 = 3.

When x = 3, the function f(x) is given by:

f(x) = 2x − 3

f(3) = 2(3) − 3

f(3) = 6 - 3

f(3) = 3.

Therefore, the function g(x) = f(3x) = 3 × 3 = 9.

In conclusion, the table which represents the function g(x) is as follows:

x                g(x)

1                  -3

2                  3

3                  9

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Answer: A

Step-by-step explanation:

rxl ontop

Answer:

M = n(y/x)

Step-by-step explanation:

M/n = y/x

Multiply both sides by N to cancel it out.

M = n(y/x)

The expression in scientific notation is given as follows:

3.5 x 10³.

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

For this problem, the expression is given by:

[tex]\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3}[/tex]

When two factors of a multiplication have the same base and different exponent, we keep the base and add the exponents, hence:

[tex]10^2 \times 10^4 = 10^6[/tex]

5 x 4.2 = 21, hence the expression is:

[tex]\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3} = \frac{21 \times 10^6}{6 \times 10^3}[/tex]

When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:

[tex]\frac{21 \times 10^6}{6 \times 10^3} = 3.5 \times 10^3[/tex]

Which is the simplified expression.

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The system of inequalities is y ≤ 12 - x and y ≥ 8 - (3/5)x and the point (2 , 8) satisfies both inequalities.

A mathematical statement known as an inequality contrasts two algebraic expressions using the greater-than (>), less-than (<), and other inequality symbols. A compound inequality is a pair of inequality related by and or or or. The properties of inequalities will be used in this course to solve linear and compound inequalities in one variable. Absolute-value equations and inequalities continue to be studied.

While there are many similarities between solving equations and solving inequalities, we must also take the direction of the inequality into consideration.

Now let us form the two inequalities:

If x is the number of hours she worked babysitting and y is the number of hours she spent lifeguarding then

x + y ≤ 12

or, y ≤ 12 - x

Now if she makes 12 dollars babysitting and 20 dollars lifeguarding then

12 x + 20 y ≥ 160

or , 20y ≥ 160 - 12x

or , y ≥ 8 - 3/5x

Let us solve the inequalities graphically.

From the graph we can see that

the point (2 , 8) satisfies both inequalities.

So if Naomi works 2 hours babysitting and 8 hours lifeguarding she can satisfy both conditions.

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Answer:

13/25

Step-by-step explanation:

hope this helps :)

Answer:

see explanation

Step-by-step explanation:

the 3 consecutive even integers are x , x + 2 and x + 4 , then their sum is

x + x + 2 + x + 4 = 72 , that is

3x + 6 = 72 ( subtract 6 from both sides )

3x = 66 ( divide both sides by 3 )

x = 22

x + 2 = 22 + 2 = 24

x + 4 = 22 + 4 = 26

the 3 consecutive even integers are 22, 24 , 26

Answer:

C= [tex]\frac{AD}{B}[/tex]

Step-by-step explanation:

the answer is c because I said it c and the way you get the answer is by dividing the equality of the fraction

Answer:

21.78 m^2

Step-by-step explanation:

9.9 x 4.4 / 2 = 21.78 m^2