Find angle x and y. Please show step by step process.

Answer:

The value of exponential function: y = 0.2(0.5)ˣ

Step-by-step explanation:

We know that the exponential function is of the form

y = abˣ

From the table, it is clear that

when x = 0, y = 0.2

so substitute x = 0, y = 0.2

[tex]0.2\:=\:ab^{0}[/tex]

0.2 = a × 1        ∵ b⁰ = 1

0.2 = a

so, we have a = 0.2

now substitute x = 1 and y = 0.1

y = abˣ

0.1 = 0.2×b¹

0.1 = 0.2×b

b = 0.1/0.2

b = 0.5

now substituting a = 0.2 and b = 0.5

y = abˣ

y = 0.2(0.5)ˣ

Therefore, the value of exponential function: y = 0.2(0.5)ˣ

Answer:

[tex]x^2[/tex] = [tex]8^2[/tex] = 64

[tex]15^2[/tex] = 225

[tex]17^2[/tex] = 289

Step-by-step explanation:

Use the Pythagorean theorem to find the unknown side. The Pythagorean theorem states;

[tex]a^{2} + b^{2} = c^{2}[/tex]

Where "a" and "b" are the legs, and "c" is the hypotenuse.

It is given that;

b = 15.

c = 17

a = x

[tex]x^2[/tex] + [tex]15^2[/tex] = [tex]17^2[/tex]

[tex]x^2[/tex] + 225 = 289

[tex]x^2[/tex] = 64

x = 8

To find the area of a square, one has to raise one of the sides to the power of two.

[tex]x^2[/tex] = [tex]8^2[/tex] = 64

[tex]15^2[/tex] = 225

[tex]17^2[/tex] = 289

[tex]a = - 14 \\ c = - 12 \\ b = - 9[/tex]

The solution is, the values of a = -14, b= -9, c = -12.

Rows and columns of numbers are arranged in a matrix. A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.

here, we have,

A matrix is a rectangular arrangement of a collection of numbers into a fixed number of rows and columns.

We have a matrix of order 4 x 4 where the number of rows are 4 and number of column are 4.

and, the resultant matrix is also of order 4 x 4 where the number of rows are 4 and number of column are 4.

we get,

the addition of the two given matrices is,

[tex]\left[\begin{array}{ccc}-4 &1&1\\-14&7&12\\18&-9&3\\-8&-12&17\end{array}\right][/tex]

Then, the values of a = -14, b= -9, c = -12.

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Answer:

5:20

12:48

11:44

Step-by-step explanation:

I just multiplied them by 4

Answer:

x = 12

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 81 = 15²

x² + 81 = 225 ( subtract 81 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Answer:

X= 4y+13/5

Y=5x-13/4

Step-by-step explanation:

Answer: 5x^2 + 8x - 1 = 0

Step-by-step explanation:

-5x^2 - 6x + 1 - 2x = 0

5x^2 + 6x + 2x - 1 = 0

5x^2 + 8x - 1 = 0

a > 0

Answer:

c dependent on s

Step-by-step explanation:

c is dependent on s and s can be any value

Answer:

Using the slope-intercept form, the slope is −35 . The equation of a perpendicular line to y=−3x5+3 y = - 3 x 5 + 3 must have a slope that is the negative reciprocal of the original slope.

Given:

A certain function h(x) contains the point (8,-2).

To find:

The value of [tex]h^{-1}(-2)[/tex].

Solution:

If a function is defined as

[tex]f(x)=\{(a,b):a\in R,b\in R\}[/tex]

Then, its inverse is defined as

[tex]f^{-1}(x)=\{(b,a):a\in R,b\in R\}[/tex]

It is given that, a certain function h(x) contains the point (8,-2). It means, its inverse [tex]h^{-1}(x)[/tex] contains the point (-2,8). So, the value of inverse function is 8 at x=-2, i.e.,

[tex]h^{-1}(-2)=8[/tex]

Therefore, the value of [tex]h^{-1}(-2)[/tex] is 8.

Answer: The final answer is 10. 10 is the distance between the 2 points given.

Step-by-step explanation:

Answer:

14 units

Step-by-step explanation:

In the diagram, the length of segment QV is 15 units. What is the length of segment TQ?

Solution:

A triangle is a shape with three sides and three angles. Types of triangles are isosceles triangle, equilateral triangle, scalene triangle, right angled triangle.

Two triangles are said to be congruent if all the corresponding three sides and three angles of one triangle is equal to the corresponding three sides and three angles of the other triangle.

Triangle SRV and triangle RQV are congruent triangles by side angle side congruency (i.e. SR = RQ, RV ≅ RV and ∠SRV = ∠QRV = 90°). Therefore:

SV = QV

4x - 1 = 15

4x = 16

x = 4 units

Triangle SRT and triangle RQT are congruent triangles by side angle side congruency (i.e. SR = RQ, TR ≅ TR and ∠SRT = ∠QRT = 90°). Therefore:

TQ = TS

3x + 2 = TS

TS = 3(4) + 2 = 12 + 2

TS = 14 units

Answer:

do you have a picture of it for reference?

Answer:

The second one. it's the only one that has a pattern for both sides. for every x value that goes up, the y-values goes down one. that function has a slope of -1

Step-by-step explanation:

I hope this helps :)

Options :

Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.

Answer:

Determine whether the equation has the form x = a

Step-by-step explanation:

Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3

-3(x + 1) + 3x = - 3(x - 1) + 3

If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'

Expanding :

-3x - 3 + 3x = - 3x + 3 + 3

-3x + 3x -3 = - 3x + 6

-3 = - 3x + 6

-3 - 6 = - 3x

-9 = - 3x

x = 9/3

x = 3

Answer:

Step-by-step explanation:

Given the functions

f(x) = 3x² + x and g(x) = 2x

We are to find g(f(x))(-4)

First get g(f(x))

g(f(x)) = g(3x²+x)

Substitute x in g(x) with 3x²+x to have:

g(3x²+x) = 2((3x²+x))

g(3x²+x) = 6x² + 2x

Substitute  = -4 into the result

g(f(x) (-4)) = 6(-4)² + 2(-4)

g(f(x) (-4)) = 6(16)-8

g(f(x) (-4)) = 96 - 8

g(f(x) (-4)) = 88

Hence the required answer is 88

Answer:

Rule 3

Step-by-step explanation:

The values correspond to the equation y=3^x

Answer:

339.3 cm

Step-by-step explanation:

12 • 12 = 144

Find 144π

Find 3/4 of it

Answer:

339.3 to nearest tenth of cm^2.

Step-by-step explanation:

This is 3/4 of a circle so the area is:

3/4 * pi r^2

= 3/4 * 12^2 pi

=  108 pi

= 339.292

Answer:

P=length of each of the 4 pieces

(8' - 0.25')/4=P

Step-by-step explanation:

P=length of each of the 4 pieces

(8' - 0.25')/4=P

6/4 is the length of the each ribbon piece.

Two or more expressions with an Equal sign is called as Equation.

Given that Elena has a 8 foot piece of ribbon.

Elena cuts off a piece that is 1/4 of a foot long.

The ribbon cutt off by Elena is 1/4×8=2

The remaining ribbon is given by 8-2=6

cuts the remaining piece into four pieces of equal lengths.

6/4.

Hence, 6/4 is the length of the each ribbon piece.

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Answer:

a. or [tex]\frac{3}{-2}[/tex]

Step-by-step explanation:

Slope is equal to y1-y2 over x1-x2.

So the equation would be:

[tex]\frac{2-(-1)}{-3-(-1)}[/tex]

2-(-1)=2+1=3

-3-(-1)=-3+1=-2

So the answer is:

[tex]\frac{3}{-2}[/tex]

Answer:

2 now mqrk MEEEE

Step-by-step explanation:

Answer:

ABC is isosceles

Step-by-step explanation:

Answer:

Answer is LOG 10 and 1

Step-by-step explanation:

The equivalent expressions to [tex]lne[/tex] are, B. 1 and C.log 10

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, A logarithmic equation [tex]ln_ee[/tex], This in exponential form is, [tex]e^? = e[/tex].

We know, [tex]e^? = e[/tex], e to the what power should be e it should be 1.

Therefore, [tex]ln_ee = 1[/tex].

Similarly, [tex]log_{10}10[/tex] is 10 to the what power is 10 we know 10 to the power 1 is 10.

Therefore, [tex]log10[/tex] is 1.

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Answer:

[tex]p + ( - q)[/tex]

Step-by-step explanation:

These properties might benefit you.

[tex]x - y = x + ( - y) \\ x + y = x - ( - y) [/tex]

Negative Multiply Negative must equal Positive.

Positive Multiply Negative equal Negative.

Therefore p-q is equivalent to

[tex]p - q = p + ( - q)[/tex]

Answer:

y=4

Step-by-step explanation:

first you have y=mx+b

then b=4

and m=0

so it is

y=0x+4

or y=4

Answer:

hold

Step-by-step explanation: