What is equivalent to 64^(1/2)
Exponential Functions Algebra 1

Answer:

, the population density in people per square meter is 0.005377

Step-by-step explanation:

Answer:42, 3, 2, 15

Step-by-step explanation:

Answer:

Its its, i think its 69, the carrot

Step-by-step explanation:

Answer:

i think its - The chapter test and retest Q3 are the same, but the chapter test has the higher median.

Step-by-step explanation:

if i'm wrong please let me know.

Answer:

C )The chapter test and retest Q1 are the same, but the retest has the higher median.

Answer: choice A 1/2

Step-by-step explanation:

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.

so

1/3=2/3*p(B)

p(B)=1/2

ax+b-(cx+d)=

ax+b-cx+d=

x(a-c)+b-d

Answer:

option A

Step-by-step explanation:

144 = 4 * 4 * 3 * 3 = 2 * 2 * 2 *2 * 3 * 3 = 2⁴* 3²

a¹² = a⁽³ˣ⁴⁾ = (a³)⁴

\(\sqrt[4]{144a^{12}b^{3}} =\sqrt[4]{2^{4}*3^{2}*(a^{3})^{4}*b^{3}}\\\\=2*a^{3}\sqrt[4]{3*3*b^{3}}\\\\=2a^{3}\sqrt[4]{9b^{3}}\)

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

The characteristic polynomial  x³ - 7x² + 16x - 12  The characteristic polynomial of a square matrix in linear algebra is a polynomial that is invariant under matrix similarity and has the eigenvalues as roots.

Its coefficients include the determinant and the trace of the matrix.

Characteristic polynomial of a 3×3 matrix A is given by ; x³ - trace(A)x² + (A​​​​​​11 + A​​​​​​22 + A​​​​​​33 )x - determinant(A)

Where A​​​​​​ii is the determinant of the matrix obtained by deleting i​​​​​​ th row and i th column.

Here trace(A) = sum of the diagonals = 12 - 7 + 2 = 7

A​​​​​​11 = -7 × 2 = -14

A​​​​​​22 = 2 × 12 = 24

A​​​​​​33 = ( 12×-7) - (-10×9) = 6

Determinant(A) = 12(-7×2 - 0) + 10(2×9 - 0) = 12

Substituting these values in above equation , we obtain;

x³ - 7x² + (-14 + 24 + 6)x - 12 = x³ - 7x² + 16x - 12.

Hence x³ - 7x² + 16x - 12 is the characteristic polynomial of A.

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Answer:

This angle lies in the I quadrant.

Step-by-step explanation:

The coordinate axes divide the plane into four quadrants, labelled first, second, third and fourth.

When the angle is more than 360º  we can divide the angle by 360º and cut off the whole number part.

If we divide 800º by 360º, the integer part would be 2 and the remaining is 80º. Now we should find the quadrant for this angle.

                                                       \(\frac{800}{360}=2\frac{80}{360}\)

When the angle is between 0º and 90º, the angle is a first quadrant angle. Since 80º is between 0º and 90º, it is a first quadrant angle.

Answer:

Mean = 53.

Step-by-step explanation:

The median is the middle value so the 3 cards are

36, 46, x       where x is to be found.

The range is 41, so:

x - 36 = 41

x = 41 + 36

x = 77.

Therefore, the mean is

(36+46+77) / 3

= 159/3

= 53.

Answer:

r = 1

Step-by-step explanation:

Find the intersection.

r = 1

r = 3

r = -1

r = 1

Answer:

r=3, r=1, r= -1

Step-by-step explanation:

48r^3-144r^2-48r=-144

48r^3-144r^2-48r +144 =-144 + 144

48r^3-144r^2-48r+144=0

48(r-3)(r+1)(r-1)

r-3=0 r+1=0 r-1=0

r=3, r=1, r= -1

Answer:

see below

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y - 2 = 4(x- -1)

y - 2 = 4(x+1)

slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substituting the point in

2 = 4(-1)+b

2 = -4+b

6 =b

y = 4x+6

standard form

Ax +by = c  where A is a positive integer and b and c are integers

y = 4x+6

Subtract 4x from each side

-4x+y = 6

Multiply by -1

4x -y = 6

Answer:

(3f)-7

Step-by-step explanation:

The average ticket cost for each concert is given as follows:

The ticket costs are obtained by a system of equations, for which the variables are given as follows:

It cost a total of $1707 to purchase six tickets for concert A and six tickets for concert B, hence:

6a + 6b = 1707

a + b = 284.5.

Three tickets for concert B cost a total of $687, hence the cost for concert B is of:

3b = 687

b = 287/3

b = $95.67.

Replacing into the first equation, the cost for concert A is given as follows;

a = 284.5 - 95.67

a = $188.83.

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(5x)(-2x) in words is Five times x multiplied by negative two times x

Using variables, constants, and algebraic operations, an expression can be described as an algebraic expression in mathematics (addition, subtraction, etc.). Terms are used to construct expressions. Any combination of a number, a variable, and operation symbols is considered an expression. Two expressions are combined to form an equation, which is joined by the equal sign. Example of a word: The product of 8 and 3. Word illustration: 11 is the result of adding 8 and 3.

Given Data

Expression

(5x)(2x)

Translating algebraic expression into verbal expression:

Five times x multiplied by negative two times x

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Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

Answer:

B. (-4, 2½)

Step-by-step explanation:

The lines intercept at the point -4 on the x-axis and 2½ on the y-axis

A Sinusoid is a cyclic function. The equation of the sinusoid shown in the graph is y=2Cos(2πx/3).

The general equation of the sinusoid shown is given by the following equation,

\(y = a\ \cos\left(\frac{2\pi x}{b}\right)\)

where a is the amplitude of the graph, and b is the length of a complete cycle.

In the given graph the amplitude of the function is 2, while the length of the cycle is (2π/3). Therefore, The equation of the sinusoid shown in the graph can be written as,

\(y = 2 \cos\left(\dfrac{2\pi x}{3}\right)\)

Hence, the equation of the sinusoid shown in the graph is y=2Cos(2πx/3).

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Answer:

C! y=2cos(3x)

Step-by-step explanation:

The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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127 - u = 258

-u = 258 - 127

-u = 131 | : (-1)

u = -131

Answer:

127-u=258

258-127=131

Answer:

1.) 85+ (-10) = 95 is false.

2.)  5x+7 = 17 is false.

3.) -8(-2) - 7 = 14 – 5 is false.

Step-by-step explanation:

1. is false because since 85 ≠ 95, then 85 + ( - 10) = 95 is false.

2. is false because since 12 ≠ 17, then 5x + 7 = 17 is false.

3. is false because since -15 ≠ 14, then -8( - 2) - 7 = 14–5 is false.

The length of the unknown side of the triangle is 6

The image that completes the question is added as an attachment.

From the attached image, we have the following equivalent ratios:

x : 3 = 8 : 4 = 10 : 5

Rewrite as:

x : 3 = 8 : 4

Express as fraction

x/3 = 8/4

Multiply both sides by 3

x = 6

Hence, the length of the unknown side of the triangle is 6

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Answer:

y = -6

Step-by-step explanation:

y=acos(bx+c)+d

d = -6  .. vertical shift

midline: y = -6

Answer:

Triangle KLM

Step-by-step explanation:

The measurements of the sides of triangle KLM and ABC match up

Answer:

the answer is MLK because MLK and ABC are the same size

Answer:

N = 20

Step-by-step explanation:

5/3 = 1 2/3

20/12 = 1 8/20

They are equivalent

A. The coordinate of points B will be (0, 4a).

B. The coordinates of H and D are (2b, 2b√3) and (4b, 0), respectively.

Coordinate geometry is the study of geometry using the points in space.

A. In the right triangle, the base and perpendicular are the same. Then the vertices of the base and perpendicular will be one axis. Then the coordinate of the point B is given as,

If H(4a, 0), then the coordinate of points B will get is given as,

B(y, x)

B(0, 4a)

B. The triangle is an isosceles triangle. Then the abscissa of points H will be the average of the abscissa of N and D. Then we have

x = (0 + 4b) / 2

x = 2b

If the coordinate D lies on the x-axis, then the ordinate will be zero. Then the coordinate of H is (2b, 2b√3) and the coordinate of D is (4b, 0).

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The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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