Three rational numbers between 1/3 and 1/5

The summative product of B⁴ + [tex]M^{y}[/tex] is; [tex]M^{8y} + M^{y}[/tex]

We are given the equation as;

B⁴ + [tex]M^{y}[/tex]

Now, we are further told that;

B = [tex]M^{2y}[/tex]

Thus, we have our original expression as;

[tex](M^{2y})^{4}[/tex] = [tex]M^{y}[/tex]

According to laws of exponents, we know that;

Thus; (x²)³ = x²*³ = x⁶

Applying that to our expression means we now have;

[tex]M^{8y} + M^{y}[/tex]

Thus, the summative product of B⁴ + [tex]M^{y}[/tex] is;  [tex]M^{8y} + M^{y}[/tex]

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Answer:

wtfStep-by-step explanation:

Answer:

13

Step-by-step explanation:

........................

Answer:

Answer:A.)2x^2 + 5x + 3

Step-by-step explanation:

Answer:

here is my answerrrrrrrrrrrrrr

The height of the pole is 7.1 feet.

Given that a light display for a wedding with two 10-foot strands of lights and top of a pole and to two stakes on the ground forming two right triangles.

The Pythagorean theorem, also known as the Pythagoras theorem, explains the relationship between the three sides of a right triangle.

The two sides of triangle are equal that is x and and the third side is 10.

Now, we will apply the pythagoras theorem, we get

B²+P²=H²

Here B=P+x and H=10

x²+x²=(10)²

2x²=100

Now, we will divide both sides with 2, we get

2x²/2=100/2

x²=50

Now, we will take square root on both sides, we get

√x²=√50

x=√50

x=7.07106781

The Round to the nearest tenth is x=7.1 feet.

Hence, the height of the pole when wedding with two 10-foot strands of lights and the lights will be attached to the top of a pole and to two stakes on the ground forming two right triangles is 7.1 feet.

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Answer:

A to B: 4

B to A: 1/4

Answer:7 x 10 ^1 is the right answer

Step-by-step explanation:

Hope this helps :)

There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.

To determine the number of times smaller is the bacterial cell than the amoeba cell.

⇒ amoeba cell / bacterial cell

⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m

Apply the division operation, and we get

⇒ 0.7 × 10⁻⁴ × 10⁶

Adding the exponents of the above terms

⇒ 0.7 × 10⁻⁴⁺⁶

⇒ 0.7 × 10²

⇒ 7 × 10¹

Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.

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Answer:

2.2 inches

Step-by-step explanation:

because the question says divided equal parts you can simply divide 11 by 5

11inches/5eaqual parts

11/5 = 2.2

Each part is 2.2 inch in length.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total length of strip = 11 inch

Now, the strip is cuts into 5 equal parts.

So, the length of each part is

=11/5

=2.2 inch

Hence, the each part is 2.2 inch in length.

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I hope this pictures help

Answer:

- 0.347
2.153

Step-by-step explanation:

Answer:

- 0.347 and 2.153

Hope this helps :)

Explanation below.

Step-by-step explanation:

The lines on top of the decimals tell that the decimal is repeating, and both - 0.347 and 2.153 have lines so they are repeating decimals.

Answer:

Step 1: Express the quadratic equation in standard form. Step 2: Factor the quadratic expression. Step 3: Apply the zero-product property and set each variable factor equal to 0. Step 4: Solve the resulting linear equations

In linear equation , the negative solution is x = -4 .

What is a formula for linear equations?

Let's assume that the number is x

Now according to the question,

When 36 is subtracted from the square of a number, the result is 5 times the number.

 x² -36 = 5x

x² -5x -36 = 0

x²- 9x + 4x -36 = 0

x ( x - 9) +4( x - 9 ) = 0

(x-9) ( x + 4 ) = 0

 x  = 9 , -4

So the negative solution is x = -4

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Answer:

Derek needs to pay 3 more pounds

Answer:

=21

Step-by-step explanation:

2^4 equals 16, add 5 and its 21

2x2x2x2

\/

4x2x2

\/

8x2=16

Step-by-step explanation:

f(x) = 2^x + 5 OR f(x) = 2^(x + 5)?

f(x) = 2^x + 5 , x = 4

f(4) = 2⁴ + 5

= 16 + 5

= 21

f(x) = 2^(x + 5) , x = 4

f(4) = 2^(4 + 5)

= 2⁹

= 512

The factors to consider before choosing a bank are;

1) The security of your funds.

2) The type of account you want to open.

3) The cost of hidden fees such as annual fees, transfer fees, and other service fees.

4) The banks interest rates.

5) Cash Limits

6) Online Banking.

7) Trust factor.

8) Location of the bank

9) Credit Unions

10) Opportunity of free checks

The factors to consider before choosing a bank are;

1) The security of your funds; This is important so that your funds are well protected against any type of fraud.

2) The type of account you want to open; This is also key because of operations.

3) The cost of hidden fees such as annual fees, transfer fees, and other service fees.

4) The banks interest rates; This is important as one would like a higher interest rates on his savings.

5) Cash Limits; This is important because some banks have a withdrawal limit per day.

6) Online Banking; This is important as banking is now global and as such online presence is very key.

7) Trust factor; You need to be able to trust this bank enough to put your money there.

8) Location of the bank

9) Credit Unions

10) Opportunity of free checks

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Answer:

heheghgcfyhcggh I am a bit of a bit of a bit of a bit of a bit of a bit of a bit

Trevor spent $23.31

Peaches are sold at $2.56 per pound

Watermelons are sold at $3.25 per pound

Mangos are sold at $2.75 per pound

Trevor bought 1 pound of peaches

3 pounds of watermelon= 3 × 3.25

= 9.75

4 pounds of mangos= 4 × 2.75

= 11

The total amount spent is

= 11 + 9.75 + 2.56

= 23.31

Hence Trevor spent $23.31

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Answer:

[tex](-5)[/tex] and [tex]3[/tex].

Step-by-step explanation:

The [tex]x[/tex]-intercepts of a graph refer to points where the graph intersects the [tex]x\![/tex]-axis. These are [tex]x\!\![/tex] values for which [tex]f(x) = 0[/tex].

For example, since [tex]x = (-5)[/tex] is one of the [tex]x[/tex]-intercepts of [tex]y = f(x)[/tex], it must be true that [tex]f(-5) = 0[/tex]. Likewise, since [tex]3[/tex] is one of the [tex]x[/tex]-intercepts of [tex]y = f(x)\![/tex], [tex]f(3) = 0[/tex].

Since [tex]f(-5) = 0[/tex], the expression [tex]7\, f(-5)[/tex] would also evaluate to [tex]0[/tex] (that is, [tex]7\, f(-5) = (7)\, (0) = 0[/tex].) Thus, [tex]x = (-5)[/tex] would be an [tex]x[/tex]-intercept of the new graph [tex]y = 7\, f(x)[/tex].

Likewise, since [tex]f(3) = 0[/tex], [tex]7\, f(3) = (7)\, (0) = 0[/tex], such that [tex]x = 3[/tex] would also be an [tex]x[/tex]-intercept of the new graph [tex]y = 7\, f(x)[/tex].

No other points could be an [tex]x[/tex]-intercept of the new graph [tex]y = 7\, f(x)[/tex] without being an [tex]x\![/tex]-intercept of [tex]y = f(x)[/tex]. For example, assume that [tex]x = x_{0}[/tex] is an [tex]x[/tex]-intercept of [tex]y = 7\, f(x)[/tex] but not [tex]y = f(x)[/tex]. [tex]7\, f(x_{0}) = 0[/tex], such that [tex]f(x_{0}) = (1/7)\, (7\, f(x_{0})) = (1/7)\, (0) = 0[/tex]- contradiction.

Therefore, the [tex]x[/tex]-intercepts of the new graph would be [tex]x = (-5)[/tex] and [tex]x = 3[/tex].

The graph of the linear equation can be seen in the image below.

Here we have the linear equation:

y = -4x + 8

And we want to find 3 ordered pairs, to do so, we need to evaluate x in different values.

if x = 0 then:

y = -4*0 + 8 = 8

So we have the ordered pair (0, 8).

if x = 1 then:

y = -4*1 + 8 = 4

Then we have the ordered pair (1, 4)

If x = 2 then:

y = -4*2 + 8 = 0

Then we have the ordered pair (2, 0).

Now that we have these 3 ordered pairs, we can graph them in a coordinate axis and then connect them with a line, we will get something like the graph below.

That is the graph of our linear equation:

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The pair of equations show you how to find 16 – 9 is 9+1=10, 10+6=16. Therefore, option B is the correct answer.

The given numerical expression is 16-9.

A numerical expression in mathematics can be a combination of numbers, and integers combined using mathematical operators such as addition, subtraction, multiplication, or division.

Now, the pair of equations show you how to find 16 – 9 is 9+1=10,

10+6=16

Therefore, option B is the correct answer.

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The total amount is $ 6050, and the total interest after 8 months is $1050.

What is interest?

Here,

Period per year = 124 = 3

Total amount = amount  (1 + periodic rate)period

          = $6,050

Total interest = Total amount - amount

          = 6050 - 5000

          = $1,050

Thus,

The total amount is $ 6050, and the total interest after 8 months is $1050.

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-2}x+8\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-2\implies \cfrac{-2}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-2}\implies \cfrac{1}{2}}}[/tex]

so, we're really looking for the equation of a line whose slope is 1/2 and that it passes through (6 , -2)

[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{6}) \implies y +2= \cfrac{1}{2} (x -6) \\\\\\ y+2=\cfrac{1}{2}x-3\implies \LARGE \begin{array}{llll} y=\cfrac{1}{2}x-5 \end{array}[/tex]

The weight as a decimal will be 0.275.

The way to fins the decimal using mental maths is to believe that it's 1/4.

It should be noted that the information given is that we should convert 11/40 t decimal.

This simply means to divide and the answer is 0.275.

Also, the way to find the decimal using mental maths is to believe that it's 1/4.

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Answer:

All Real Numbers

Step-by-step explanation:

Hello!

We have to find the intersection of the two lines algebraically using substitution.

Given that y is x + 3, substitute x + 3 for y in the second equation to solve for x.

The solution for x is all real numbers, indicating that the solution to the system is also all real numbers.

A solution to the system is the point of intersection from all the lines.

If there are infinite solutions (all real numbers), there are an infinite number of intersections, or they are the same line.

Solving for y in the second equation:

Both equations are the same.

Answer:

Las primeras y quizá más sobresaliente características del monasterio y palacio real San Lorenzo de el Escorial son la composición geométrica y simétrica del edificio, el uso de los espacios cuadrados, y la preferencia por lo poco ornamentado, esto resulta bastante contrastante con la arquitectura regular de Europa, en la cual, sobre todo en Italia había predilección por las líneas curvas, los espacios ovalados, circulares, asimétricos y la predominación de un estilo muy ornamanetado con la intención de mover intensamente al espectador ante la unión del poder terrenal y espiritual. Existen rasgos en común con la arquitetura barroca foránea, como el uso de lo clásico como modelo riguroso y la necesidad de representar la grandiosidad e imponencia de la nobleza en la magnitud del palacio. Juan de Herrera fue el arquitecto del rey Felipe II, y quien impuso como estilo español arquitectónico barroco lo poco ornamentado, el recuerdo de lo clásico y los edificios de líneas rectas y grandes magnitudes.

Answer:

[tex]\frac{270}{197}[/tex]

Step-by-step explanation:

First I need a common denominator.  That number is 270

The inequality shown by a number line which describes that 12 is to the right of -2 is; 12 > -2.

It follows from the task content that the inequality which represents the number line as described in the task content is to be determined

On this note, it follows that since, numbers are arranged from left to right in increasing order on the number line, then;

Since 12 is to the right of -2, the inequality which represents the situation is; 12 > -2.

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Answer:

-5

Step-by-step explanation:

4 x 10¹¹

Scientific notation is a way to present extremely large or extremely small numbers in a more understandable way. We are aware that full numbers can go on forever, but we are unable to write such enormous figures on paper. Additionally, a simpler method of representation was required for the numbers that appear at the millions place after the decimal. This makes it challenging to represent a small number of integers in their enlarged form. We therefore employ scientific notations.

400 billion in scientific notation = 4 x 10¹¹

We can complete the sentence as,

My new music player has a capacity of 4 x 10¹¹

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