can you answer this question using simultaneous equations the substitution method

Answer:

[tex]-4^{15}[/tex]

Step-by-step explanation:

Given expression:

[tex]\left[(-4)^5\right]^3[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies (-4)^{(5 \times 3)}[/tex]

[tex]\implies (-4)^{15}[/tex]

[tex]\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:[/tex]

[tex]\implies -4^{15}[/tex]

The surface area and volume of the real brick will be 983.2 cm²and 1738.11 cm³ respectively.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The scale factor is ;

r = 630 cm /23

r = 27

L = 23 cm

b = 310 / 27 = 11.48 cm

h = 180/27 = 6.6 cm

The surface area of the brick;

A = 2(lb+bh+hl)

A = 2( 23 ×11.48+11.48×6.6+6.6×23)

A= 983.2 cm²

The volume of the brick is;

V= lbh

V=23 × 11.45 ×6.6

V=1738.11 cm³

Hence the surface area and volume of the real brick will be 983.2 cm² and 1738.11 cm³ respectively.

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The area of the triangle will be 24912 sq. units. Square units and other similar units are used to measure area.

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area.

For:

(X1, Y1) = (1, 15)

(X2, Y2) = (-2, 1)

d = 14.317821

For:

(X₂, Y₂) = (-2, 1)

(X₃, Y₃) = (4, 5)

d = 7.211103

For applying the pythogorous them we need the right angle triangle obtained by bisect from the mid point.

The value of the base is;

⇒7.2 / 2

⇒3.6

apply the pythogorous theorem for finding the height;

h² = p² + b²

14.31² = p² + 3.6²

p = 13.84

The area of the triangle is;

[tex]\rm A = \frac{1}{2}\times b \times h \\\\ A= \frac{1}{2} \times 3.6 \times 13.84 \\\\ A = 24.912[/tex]

Hence, the area of the triangle will be 24912 sq. units.

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ANSWER :

The pH level of a swimming pool indicates the level of acidity or alkalinity

of the swimming pool.

Correct Responses;

First Part:  Please find attached the required graph of the pH function created with MS Excel.

The pH value is 0 when x = 1

The pH value is 1 when x = 0.1

The pH level if the hydronium ions is raised to 0.50 is approximately 0.301029996.

Second Part: The transformation that results in a y-intercept is f(x + 1), because f(0 + 1) exists and is equal to 0.

STEPS

Method by which the above responses are obtained

First part

The given pH function is f(x) = -㏒₁₀x

Where;

x = The amount of hydronium ions

A substance with a pH < 7 is acidic

A substance with a pH > 7 is alkaline

A neutral solution has pH = 7

Water is a neutral solution

The graph of the pH function created with MS Excel is attached

The table of values of the graph is as follows;

From the graph, we have;

When the pH value is 0, the hydronium ion concentration is 1

The pH value is 1 when x = 1 × 10⁻¹ = 0.1

The pH level if the hydronium ions, x = 0.5 is given from the graph as follows;

pH = f(0.5) = -㏒₁₀(0.5) ≈ 0.301029996

The pH value when the hydronium ions is 0.5 is pH ≈ 0.301029996

Second Part

Using f(x) = -㏒₁₀x as the parent function, the graph of f(x) + 1, and f(x + 1) are plotted

From the graph, we have;

The graph of f(x) + 1 = -㏒₁₀x + 1

The graph of f(x + 1) = The graph of -㏒₁₀(x + 1)

At the y-intercept, x = 0, therefore;

f(x) + 1 = f(0) + 1 = -㏒₁₀0 + 1 = Undefined

f(x + 1) = f(0 + 1) = -㏒₁₀(0 + 1) = 0

Therefore;

The transformation that results in a y-intercept is f(x + 1) because f(0 + 1) is 0, which is defined.

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The simple interest rate is 9% if the Tk 13000 will be Tk 18850 as profit-principal in 5 years.

It is defined as the interest on based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount of borrowed amount.

We have given:

The principal amount, P = Tk 13000

Final amount A = Tk 18850

Number of years n = 5 years

Rate = r

I = A - P

I = 18850 - 13000 = Tk 5850

I = Pnr

5850 = 13000(5)(r)

r = 0.09

r = 9%

Thus, the simple interest rate is 9% if the Tk 13000 will be Tk 18850 as profit-principal in 5 years.

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Answer:

[tex]\log_8{(3)} + \log_8{(7)}[/tex]

Step-by-step explanation:

Product Rule for Logarithms

[tex]\log_b{(mn)} = \log_b{(m)} + \log_b{(n)}[/tex]

Instead of 21 you can write 3 · 7, because 21 = 3 · 7.

[tex]\log_8{(21)} = \\= \log_8{(3 \cdot 7)} =\\= \log_8{(3)} + \log_8{(7)}[/tex]

Answer: Option 3 or C. 22

Step-by-step explanation:

I got the answer correct on Edge 2022 quiz. Trust me the answer is correct I screenshot it using the prt sc key then uploaded it. The proof is in the pic below.  :)

The correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph in option third is showing correct points on the x-y plane which are ( -4,3) and ( 1,-2).

-4 is along the negative x-axis and 3 is along the positive y-axis similarly to the second point positive 1 is along the x-axis and negative 2 is along the y-axis.

Therefore the correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.

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Answer:

720 Course Schedules

Step-by-step explanation:

When you choose the first course, there are 6 to choose from. When you scoose the second, there are only 5. This keeps going until the 6th course where there is only 1 choice.

You multiply these choices together. You should get 6×5×4×3×2×1

6×5=30

30×4=120

120×3=360

360×2=720

720×1=720

You then end up with 720 course schedules.

The choice is tangent rule and the distance from the base to the tower is 3. 98 meters

The trigonometric ratio to use is

tan α = opposite side/ adjacent side

This is so because the angle 86° is facing the side of the distance from the top to the base

The choice is tangent rule

adjacent  = x

Angle = 86°

Opposite side = 57

We have

tan 86° = 57/x

14. 300= 57/x

x = 57 ÷ 14.300

x = 3.98meters

Thus, the choice is tangent rule and the distance from the base to the tower is 3. 98 meters

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Answer:

135

Step-by-step explanation:

Depending on where you start, the protractor can read in different ways. Since the measure of this angle started from the left, you read the numbers at the top. If the measure would have started from the right, you read the numbers below.

A good rule of thumb is that if the angle appears to be greater than 90 degrees, or an obtuse angle, you would choose the only answer choice that is above 90 degrees.

Hope this helps!

Answer:

Answer:

I assume you meant "y = -x+7" not "= -x +7". If that is correct then the slope is -1.

Step-by-step explanation:

The slope is the coefficient of the x in slope-intercept form. Therefore, the slope is -1.

Please give me Brainliest if this answer is correct.

Answer:

x divided by 4

Step-by-step explanation:

4 bags

O O

O O

strawberries would go in each

so lets say like 24 strawberries

24 (x) / 4 = 6

so six strawberries a bag

hope this helps like put a picture in your head

Answer:

I am not sure but 31054.449

Step-by-step explanation:

Answer:

0.27037

Step-by-step explanation:

numerator is 250.16667

denominator is 925.2477

answer is 0.27037

The correct answer from the task content is; Choice C; None of the above.

The equations can be evaluated as follows;

A) -x + (-x) =0

-x -x = -2x......Not True

B) x -(-x) = 0

x + x = 2x .....Not True.

On this note, it follows that none of the equations is true.

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2) [tex]m\angle A+m\angle B+m\angle C+m\angle D=360^{\circ}[/tex]

3) Substitution property

4) Combine like terms

Answer:

[tex]x=(-2,\frac{5}{3} )[/tex]

Step-by-step explanation:

1)  We will use the matrix method to solve this problem.

[tex]\left[\begin{array}{ccc}-2/3&1&3\\1&0&-2\\\end{array}\right][/tex]

2) Swap Row₁ and Row₂ to make row reduction easier.

[tex]\left[\begin{array}{ccc}1&0&-2\\-2/3&1&3\\\end{array}\right][/tex]

3) Apply to Row₂ :  Row₂ + [tex]\frac{2}{3}[/tex] Row₁.

[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\end{array}\right][/tex]

4)  Simplify rows.

[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\\\end{array}\right][/tex]

Note: The matrix is now in row echelon form.

The steps below are for back substitution.

5) Apply Row₁ : Row₁ - 0 Row₂.

[tex]\left[\begin{array}{ccc}1&0&-2\0\\0&1&5/3\end{array}\right][/tex]

6) Simplify rows.

[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\\\end{array}\right][/tex]

Note: The matrix is now in reduced row echelon form.

7) Therefore,

[tex]x=-2\\x=\frac{5}{3}[/tex]

The measure of angle E will be 90 degrees as well.

Assume EFG = JKL.

If mLJ = 90°, mL K = 26°, and m< L = 64°,

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We have been given an image of two congruent triangles.

Since, EFG = JKL

therefore, the corresponding angles will be congruent.

m < J = 90° = m< E = 90

By congruence measure of angle, J will be equal to the measure of angle E.

Hence, The measure of angle E will be 90 degrees as well.

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Step-by-step explanation:

(6a + 10)° = (3a + 55)°

6a - 3a = 55 - 10

3a = 45

a = 45/3

a = 15° IS THE ANSWER

Answer:

They are parallel because their slopes are equal.

Step-by-step explanation:

See attached image.

The least number of consecutive positive integer that is required to make the sum of the reciprocals greater than three is 7.

An integer is simply a number that is not  a  fraction.

The first four consecutive positive integers are:

1, 2, 3 , 4.

Their reciprocals are:

1/1, 1/2, 1/3, 1/4; and

The sum of them are greater than 2; that is

1/1 + 1/2 + 1/3 + 1/4 = 2.08333333333 > 2

to make the expression >3

We would require the following integers

1/1 + 1/2 + 1/3 + 1/4+ (1/5) + (1/6) + (1/7) + (1/8)+ (1/9) + (1/10) + (1/11) = 3.01987734488

Thus, the additional consecutive reciprocal integers that is required to make the sum of the reciprocal of the fist four greater than 3 is 7.

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The solution of the equation 4x = 20, x – 11 = 9, 5x + 6x = 22, and 5(x – 2) = 30 will be 5, 20, 2, and 8.

The solution of the equation means the value of the unknown or variable.

The equations are given below.

4x = 20

 x = 5

x – 11 = 9

      x = 20

5x + 6x = 22

       11x = 22

         x = 2

5(x – 2) = 30

   x – 2 = 6

         x = 8

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Answer:34.96 (answer to what is her purchase price before tax)

Step-by-step explanation:38*(1-.08)

Answer:

16

Step-by-step explanation:

If f(x)=7x-3 and g(x)=x²,

(g•f)(1)= g(f(1))

bit : f(1) =7(1)-3 = 4

(g•f)(1)= g(f(1)) = g(4) = 1² = 16

I hope this was helpful :)

Answer:

D. -4

Step-by-step explanation:

a1 is the first term.

a1 = -10

an = an-1 + 3

The recursive formula means that each term after the first term is 3 more than the previous term.

a2 = a1 + 3 = -10 + 3 = -7

a3 = a2 + 3 = -7 + 3 = -4

Answer:

B.

Step-by-step explanation:

if x is 3 then you just substitue every instance of x as 3. 2(x-4) + 3x - x^2 =

2(3 - 4) + 3(3) - 3^2 =

6-8 + 9 - 9 =

-2

Answer:

false

Step-by-step explanation:

if the 2 shorter segments dont add up to be equal or greater to the longest segment, then its impossible for a triangle to be formed :)

Answer:

True

Step-by-step explanation:

General formulas and concepts:
Subject: Geometry

Unit: Triangular Line Segments

Definitions:

Triangle Inequality Theorem

Steps:

Use the triangle inequality theorem:

9 + 4 > 11

13 >  11 ⇒  True

9 + 11 > 4

20 > 4 ⇒ True

4 + 11 > 9

15 > 9 ⇒ True

Conclusion:

Because the 3 segments that are given satisfy the statements of the triangle inequality theorem, they can therefore form a triangle.