can someone please help me with these two questions I would really appreciate it they go together LINKS WILL GET REPORTED !

The solution to the exponential equation 8^(x/2)/4^(x/3) = 2^(-5/2) is given as follows:

x = -6/5.

The exponential equation for this problem is defined as follows:

[tex]\frac{8^{\frac{x}{2}}}{4^{\frac{x}{3}}} = 2^{-\frac{5}{2}}[/tex]

Both 8 and 4 are powers of 2, as follows:

Applying the power of power rule (multiplying the exponents), the expression on the left side can be rewritten as follows:

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

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

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

The subtraction is obtained as follows:

3x/2 - 2x/3 = 9x/6 - 4x/6 = 5x/6.

(as the least common factor of 2 and 3 is of 6).

Then the simplified expression is of:

[tex]2^{\frac{5x}{6}} = 2^{-\frac{5}{2}}[/tex]

As the exponential function y = 2^x is injective, the solution is obtained as follows:

5x/6 = -5/2.

10x = -12

x = -6/5.

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Answer:

[tex]80^{\circ}[/tex]

Step-by-Step Explanation:

The interior angles of the triangle are [tex]70^{\circ}, (14+6x)^{\circ}[/tex], and [tex](3x-3)^{\circ}[/tex].

Angles in a triangle add to [tex]180^{\circ}[/tex].

[tex]70+14+6x+3x-3=180 \\ \\ 81+9x=180 \\ \\ 9x=99 \\ \\ x=11[/tex]

So, [tex]m\angle A=14+6(11)=80^{\circ}[/tex].

Answer:

75 miles

Step-by-step explanation:

You have to just multiply 15 by 5.

1*5 inches=15*5 miles

The value of x is 8.

Angles are formed whenever two or more straight lines intersect. These angles produced thus have individual and some common properties of which some can add up to form complementary angles, or supplementary angles.

Two angles are said to be supplementary if the value of their sum add up to 180^o.

From the given question, we can deduce that;

m<1 + m<2 = 180^o              (definition of complementary angles)

(17x - 30) + (7x + 18) = 180^o

17x - 30 + 7x + 18 = 180^o

24x - 12 = 180

24x = 180 + 12

24x = 192

x = 192/ 24

  = 8

x = 8

The value of x is 8.

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Answer: C. <5

Explanation: They are on the same line meaning that they should share the same degree of angle, especially because they are opposite sides of the same line.

A triangle has sides of 7, 24, and 25 cm. The length of the hypotenuse is equal to 25 cm if the triangle is a right triangle.

The triangle's sides are 7 cm, 24 cm, and 25 cm, as is obvious.

49, 576, and 625 are the results of squaring the lengths of the side of the.

49 + 576 = 625\s(7)2 + (24)2 = (25)2

As a result, the aforementioned equation satisfies Pythagoras's theorem. As a result, it is a right-angled triangle.

the hypotenuse is 25 cm long.

Angles of 16.26 degrees and 73.74 degrees are suitable.

Yes, since 72+242=252 (sum of squares on smaller two sides equals square on largest side).

The triangle's sides are 7 cm, 24 cm, and 25 cm, as is obvious. 49, 576, and 625 are the results of squaring the lengths of the side of the. As a result, the aforementioned equation satisfies Pythagoras's theorem. As a result, it is a right-angled triangle.

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Answer:

I think its b

Step-by-step explanation:

x

2

−3x−10

x

2

−(5x+x)−10

x

2

−5x+2x−10

x(x−5)+2(x−5)

(x−5)(x+2)

x=5

x=−2

sumofzeroes

=αβ=5×−2=−10

α+β=

9

−b

=−

1

(−3)

=3

productofzeroes

=αβ=5×−2=−10

αβ=

a

c

=

1

−10

=−10

proved

________________________

mark me brainliest........proved

Answer:

n0p = 120°

Step-by-step explanation:

m0n + n0p = 180°

60° + n0p = 180°

n0p = 120°

Answer:

neither

Step-by-step explanation:

when slopes are the same its parallel

when slopes are multiplied and it equals -1 they are perpendicular

The 3 types of terms in quadratic equation:

1) quadratic term,

2) linear term,

3) constant term.

We know that the second degree algebraic equation in x is a quadratic equation.

The standard form of quadrtic equation is ax^2 + bx + c = 0, where a, b, c are integers.

As thise is a quadratic equation, the value of a can not be zero. a ≠ 0

The term ax^2 is called the quadratic term.

From this term, the name given to the equation(quadrtic equation)

The term bx is called the linear term.

And the term c is called the constant term.

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Answer:

Step-by-step explanation:

original equation equivalent to 7x+5-3x-2 = 7x-3x+5-2=4x+3

the answer is 4x+3

Answer:

The answer is 4x+3

On solving the provided question, we can say that - here in number line we jump fron 2 to 7 as we have added +5

A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.

here,

we have +5

so 2+(+5) = 7

we will jump to 7 from 2

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The equation of the line in slope-intercept form, with the point (4, -5) and an undefined rate of change is x = 4.

Mathematically, the slope-intercept form of a line can be calculated by using this equation:

y = mx + c

Where:

In Mathematics, any line that has an undefined slope (rate of change) is a vertical line because it does not have a y-intercept. This ultimately implies that, a vertical line that is parallel to the y-coordinate (y-axis) would have an undefined slope (rate of change).

Generally speaking, the equation of a line that has an undefined slope (rate of change) is given by this mathematical expression;

x = a

Where:

a represents the x-intercept.

At point (4, -5), the required equation with an undefined slope (rate of change) is x = 4.

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Answer:

Points identify starting and ending positions, and a line (in this case line segment) connects such points to show the distance between the two points.

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

3% loss means 97% (.97 in decimal ) remains

after 2 years :

 27 900 ( .97)^2 = £  26251 .11

a d

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

Answer:

x = 15.8

Step-by-step explanation:

Answer:

81/100 is the answer I believe if I'm wrong my bad

Answer:

81/100

Step-by-step explanation:

brainliest pls

Answer:

the first bubble is your answer hope it helps

Answer:

option D

Step-by-step explanation:

Answer:

b < –6 or b > 6

Step-by-step explanation:

Answer:

A) 24

B) 10

C) 4

Step-by-step explanation:

i multiplied for each question

On solving the provided question, we cans ay that - the value of the each unit in this time will be from unitary method is 85.

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

here,

value of the 20 unit is 1700

value of the each unit will be 1700/20 = 85

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Answer:

A, b, d

Step-by-step explanation:

Answer: D.

Step-by-step explanation:

1. Look at the range/IQR of each box-plot

2. The smaller the range = the less variability

Answer:

+4

Step-by-step explanation:

if x is your number, then x+4 is four more than

Answer:

Answer Below

Step-by-step explanation:

The phrase "4 more than" means 4 has been added onto a number. Eg:"Sue has 4 more sweets than Ann, means that however many sweets Ann has, Sue's number is bigger by 4.

Answer:

y = 3/2x - 3

Step-by-step explanation:

first find slope (m):

m = (-3/2 -(-15/2)) / (1 - (-3)) = (12/2) / 4 = 6/4 = 3/2

plug the point (1, -3/2) into the point-slope form (y-y1) = m(x-x1):

y - (-3/2) = 3/2(x-1)

y + 3/2 = 3/2x -3/2

now put it in slope-intercept form y = mx + b:

y = 3/2x -6/2

y = 3/2x - 3