If the value of "y" varies directly with "X"
and y = -8 when x = 20, find "y" if x = -4.

Answer:

10fx-7

Step-by-step explanation:

(:

For, n = 0, 1 we proved that 7⁽ⁿ⁺⁴⁾ - 7ⁿ hence by induction it is divisible by 30 for all n ∈ N.

An inductive proof requires two cases. The first, or base case, establishes the proposition that n = 0 without requiring any prior knowledge of other situations. The second example, the induction step, demonstrates that if the assertion is true for any particular case where n = k, then it must also be true for the subsequent case when n = k + 1. These two actions prove that the statement is true for all n = 1 natural numbers. The base case establishes the truth of the statement for all natural numbers n N, but it does not always start with n = 0. Instead, it frequently starts with n = 1, and it may also start with any fixed natural number n = N.

Given, We have to prove 7⁽ⁿ⁺⁴⁾ - 7ⁿ is divisible by 30 for all n ∈ N.

Let, n = 0.

Therefore,

7⁴ - 7⁰.

= 2401 - 1.

= 2400.

= 30×80, Divisible by 30.

Similarly for n = 1 we have,

7⁵ - 7¹.

= 16807 - 7.

= 16800.

= 30×560.

Hence by induction, the cycle will continue.

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Answer:

------------------------

If you buy a sweater, the second one is at 40% discount.

Divide the discount between the two to get:

You get a discount of 20% for each sweater.

Answer:

Discount percentage = 20%

Step-by-step explanation:

Discount of the sweaters,

→ first sweater = 0%

→ other sweater = 40%

The average discount percent is,

→ (first sweater + other sweater)/2

→ (0% + 40%) ÷ 2

→ (0 + 40)/2

→ 40/2

→ 20% off

Hence, the answer is 20% off.

Answer:

1/4,

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

x² - 6x = -5

x = {1, 5}

Step-by-step explanation:

The square of a number minus six times a number equals negative five.

x² - 6x = -5

Add 5 to both sides

x² - 6x + 5 = 0

Factor

(x - 1)(x - 5) = 0

x = {1, 5}

Answer:

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

x = 1 or x = 5

Step-by-step explanation:

Let x = the no.

[tex]x^{2} - 6x = -5\\x^{2} - 6x + 5 = 0[/tex]

(x - 1)(x - 5) = 0

x = 1 or x = 5

Therefore v = log(62) / log(17) is the solution for v, the unknown variable in the equation.

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be increased in order to obtain a number x is the logarithm of x to the base b.  For example, since 1000 = 10³, the logarithm base 10 of 1000 is 3, or log₁₀ = 3.

A function in mathematics is an expression, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable). Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

To solve this exponential equation, we can use the logarithms property that is log(a^b) = b*log(a).

Given the equation 17v = 62, we can take the logarithm base 17 of both sides:

log(17^v) = log(62)

v*log(17) = log(62)

Dividing both sides by log(17) gives us:

v = log(62) / log(17)

This is the solution for v, the unknown variable in the equation.

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Answer:

GCF of 12 and 100 by Prime Factorization

Prime factorization of 12 and 100 is (2 × 2 × 3) and (2 × 2 × 5 × 5) respectively. As visible, 12 and 100 have common prime factors. Hence, the GCF of 12 and 100 is 2 × 2 = 4.

GCF of 12 and 100 by Listing Common FactorsFactors of 12: 1, 2, 3, 4, 6, 12Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

There are 3 common factors of 12 and 100, that are 1, 2, and 4. Therefore, the greatest common factor of 12 and 100 is 4.

Answer: X=5

Explaination: Did the problem.

Answer:

I think 42 is the answer...

Answer:

38

Step-by-step explanation:

180 - 104 = 76

76 divided by 2 = 38

Answer:

#1

Area of triangle backdrop:

Area of the cloth:

Uncovered area:

Choice A

#2

Area of the cut piece:

Area of the square piece:

Remaining piece is:

Choice B

Answer:

what is the full question? 4 units left or right or?

Answer:

A. 84

Step-by-step explanation:

84 / 4 = 21

Answer:

Its a(84)

Step-by-step explanation:

Answer:

A. 5

Step-by-step explanation:

just use calculator tbh

The constant of proportionality is 10 for the proportional relationship shown in the graph.

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The proportional relationship is shown in the given graph.

As per the given graph, we take two points (1, 10) and (2, 20)

So, the constant of proportionality will be as:

⇒ (20 - 10)/(2-1)

⇒ 10/1

⇒ 10

Hence, the correct answer would be option (A).

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Answer:

67

Step-by-step explanation:

42+90=132

180-132=48

<A=48

if u use the 113 that you got than

113+48=161

180-161=19

<B= 19

48+19=67

Answer:

1.50x < 12 (the inequality would just be "less than")

Step-by-step explanation:

The required exponential function is given as y = aˣ where the value of a should be positive always.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

here,
Since from the above definition exponential function is given as y = aˣ,
This shows the exponential increase and decrease, by means of exponential increase and decrease, a sudden in increase and sudden decrease of function as the value of a varies, see in the graph after the answer. And the value of an always remains positive.

Thus, the required exponential function is given as y = aˣ where the value of a should be positive always.

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Considering the definition of a line, the equation of the line in standard form is y - 7/10x= -4

A linear equation o line can be expressed in the form y = mx + b

where

The standard form of a linear equation is Ax + By = C. In this type of equation, x and y are variables and A, B, and C are integers.

In this case, you know:

So, the line can be expressed as:

y=7/10x -4

Expresed in standard form:

y - 7/10x= -4

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Answer:

A B and D

Step-by-step explanation:

Given the parabola is opening downward, the function has to be negative. Therefore, A B and D are correct.

The following equations could define the given quadratic function.

1. -1(x-1)²+9

4. -x²+2x+8

6. (x+2)(x-4)

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c.

1. The function -1(x-1)²+9 represents a downward-facing parabola.

The vertex of the parabola is at point (1, 9), and it opens downward because the coefficient of the squared term (-1) is negative.

4. The function -x²+2x+8 represents a downward-facing parabola as well.

6. The parabola intersects the x-axis at x = -2 and x = 4.

Hence, the correct answer is options 1, 4, 6.

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Answer:

80

Step-by-step explanation:

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

Solving:

[tex]x^2 - 6x+5=0\\\\(x-5)(x-1)=0\\\\x=1, 5[/tex]

Answer: 10 sides

Step-by-step explanation:

You can always use the given formula to calculate but I (personally) find it much easier to calculate the number of sides using the exterior angle.

To calculate the exterior angle, it is 180 - the interior angle.

In this example, the exterior angle would be 180-144 = 36°

Because it is a regular polygon, we know that all the angles in the shape are the same.

In all polygons, the exterior angles always add up to 360 degrees.

So divide 360 by 36 (the size of each exterior angle), and you get 10.

360/36 = 10

The probability that the selected cube will not be blue is given as;

P(selected cube not blue) = 3/4

We are given that;

Number of red cubes = 7 cubes

Number of yellow cubes = 3 cubes

Number of green cubes = 2 cubes

Number of blue cubes = 4 cubes

Total number of cubes = 7 + 3 + 2 + 4

Total number of cubes = 16 cubes

Probability that the cube that is selected is blue;

P(selected cube is blue) = 4/16 = 1/4

Thus, probability that it will not be blue will be;

P(selected cube not blue) = 1 - (1/4)

P(selected cube not blue) = 3/4

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Answer:

4√3/3

Step-by-step explanation:

This is a 30,60,90 triangle. Therefore, small side (X) is equal to 4/√3 or X√3. In this case, it is 4/√3. This is equal to 4/√3 times √3/√3. This means the answer will be 4√3/3. Therefore, X=4√3/3

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Answer:

a=11

Step-by-step explanation:

a=m2 +2

a= (-3)2+2

a=9+2

a=11

Answer:

The missing numbers are 74, 105, and 178.

Answer:

94

Step-by-step explanation:

So

376= x + 3x

Where x is the hambugers and 3 x is cheeseburgers

so it is the same as

376= 4x

divide both sides by 4

x= 94

we can check by tripling x = 283 and adding the hamburgers we found to be 94 which gives us 376