solve for y
1/8y-2/3=5.5

Answer:

[tex]f(g(4)) = f(4^2-3) = f(13) = 13 + 7 = 20[/tex]

[tex]g(f(5)) = g(5 + 7) = g(12) = 12^2-3 = 141[/tex]

[tex]f(f(1)) = f(1 + 7) = f(8) = 8 + 7 = 15[/tex]

Two statements are logically equivalent if they have the same truth value in all possible circumstances, meaning that they are either both true or both false in any given context.

For example, the statement "All dogs are mammals" is logically equivalent to the statement "All non-mammals are not dogs." Although the statements use different words and phrasing, they convey the same information and are both true.

Another example would be the statement "x>2" is logically equivalent to the statement "x>=3" because they both would have the same solutions.

Logical equivalence is important in logical reasoning, proof and in computer science where it is used to determine if two statements are logically equivalent which leads to simplify the boolean expressions.

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I'll answer ur question but the image is blurry

Answer:

30.2%

Step-by-step explanation:

a. For each slot there are 10 possible numbers (0-9). Since there are no restrictions, the number in each slot is independent of the other. We can calculate the total number of possibilities using the product rule.

N = 10 × 10 × 10 × 10 × 10 = 10⁵

b. For the first slot, there are 10 possibilities.

For the second slot, we cannot repeat the number that we used in the first slot, so there are 9 possibilities.

For the third slot, we cannot repeat any of the previous numbers, so there are 8 possibilities.

For the fourth slot, we cannot repeat any of the previous numbers, so there are 7 possibilities.

For the fifth slot, we cannot repeat any of the previous numbers, so there are 6 possibilities.

The total number of combinations without any repetitions are:

10 × 9 × 8 × 7 × 6 = 30,240

c. The probability that the safe's five numbers do not repeat is:

P = favorable outcomes / possible outcomes

P =  30,240 / 10⁵ = 30.2%

Answer:

Triangular prism

Hope this helps!

Answer:

the name of the given figure is triangular prism.

a) 0.375

b) [tex]\frac{7}{8}[/tex]

Answer:

x-coordinate

Step-by-step explanation:

Isosceles triangle has three sides, three angles, a base, a height, and an area in which two sides are equal to each other .

What is an isosceles triangle simple definition?

An isosceles triangle is a triangle with (at least) two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles

the sum of triangle is 180, sum of all the interior angles is equal to 180.

so if you know two angles then apply sum of triangles and find out the value of the third triangle.

isosceles triangle

An isosceles triangle is a type of triangle that has any two sides equal in length. The two angles of an isosceles triangle, opposite to equal sides, are equal in measure.

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Answer:

A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

The closest ones are - B and E

Answer:

10

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

let's convert the mixed fraction to improper fraction first.

[tex]\stackrel{mixed}{5\frac{1}{4}}\implies \cfrac{5\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{21}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{21}{4}\div \cfrac{1}{4}\implies \cfrac{21}{4}\cdot \cfrac{4}{1}\implies \cfrac{21}{1}\cdot \cfrac{4}{4}\implies \text{\LARGE 21}[/tex]

Answer: 5 1/4 ÷ 1/4 = 21

Step-by-step explanation: Because the denominator is four, you would combine and create a mixed fraction. 5 × 4 = 20 and 20 + 1 = 21. So 5 1/4 equals 21 fourths which is why 5 1/4 ÷ 1/4 = 21

If no payments are made then the then after 1 year the interest will go by 5% , therefore the amount to be paid will become ,   P + 25 = 525 $.

Principle + 5% of 500

Therefore, the equation becomes ,

Amount = P + 25

To calculate the interest ,

interest = principal × interest rate × term

             = 500 x 5 x 1

              = 2500.

A loan is defined as a thing or money which is borrowed, especially a sum of money that is expected to be paid back with an interest rate which is fixed by both the parties.

Loans are typically taken or granted by by corporations, financial institutions, and governments. They allow for growth in the overall money supply in an economy and open up competition by lending to new businesses.

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Answer:

Step-by-step explanation:

1.6

2.30

3.?

4.60

5.84

6.330

y = 3x+4 ← equation of linear function.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have,

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = y_2-y_1/x_2-x_1

with (x₁, y₁ ) = (- 3, - 5) and (x₂, y₂ ) = (1, 7) ← 2 ordered pairs from the table

m = 7+5/1+3

  =12/4

   = 3 ,

So, y = 3x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (1, 7 ), we get,

7= 3 + c

⇒ c = 7-3

      = 4

Hence, y = 3x+4 ← equation of linear function

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Answer:

3/10

Step-by-step explanation:

Let the total number of candies =

10 chocolate candies + 8 coffee candies + 12 caramel candies = 30 candies

Probability of picking a chocolate candy = P(chocolate) = 10/30

Probability of picking a coffee candy = P(chocolate) = 8/30

Hence, the probability of getting candies with P (chocolate or coffee)

= P(chocolate) + P(coffee)

= 10/30 + 8/30

= 18/30

= 3/10

Therefore, the probability of getting candies with P (chocolate or coffee) is 3/10

Answer:

HELLLLLLLLLLLLLLLLLL NO

Step-by-step explanation:

Answer:

Step-by-step explanation:

A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height? E. 1.2 F. 3.5 G. 4.7 H. 14.1

Answer: The measure of the angle is 35, the measure of its supplement is 145, and the measure of its complement is 55

Answer: $126.00, the difference is 54.00

Step-by-step explanation:

126 ∛·÷÷∈∈πΔ≈∨∨⊃∪∡∠∉∉⇔βββ

A variable has a degree of zero and no exponent. Each constant polynomial has a degree of zero.

A polynomial only uses addition, subtraction, multiplication, and non-negative integer exponentiation of the variables as its operations. In mathematics, the term "indeterminate" is frequently used to describe variables. A polynomial is an equation that combines variables, constants, and exponents while using addition, subtraction, multiplication, and division of numbers (No division operation by a variable).

A variable has no exponent, the degree is 0. The degree of each constant polynomial is zero .

Since 3 can be expressed as  [tex]3 X 0[/tex] and is a constant polynomial, it has a degree of [tex]0[/tex].

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An inequality to find how many days he will have to go kayaking. is; d ≥ 4

We are told that Jay wants to go paddle boarding at least 8 hours each week. This means greater than or equal to 8. That is the minimum number of hours each week is 8 hours.

Now, we are told that he averages 2 hours per day. If the number of days is given by d, then we have the inequality as;

2d ≥ 8

Divide both sides by 2 to get;

d ≥ 4

That is the domain of the number of days required to go kayaking

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Answer:

I don't know how to work it out because I have not answered this question

The positive integers are 14, 15 and 16

An algebraic expression can be defined as an expression that is made up of coefficients, terms, variables, factors and constants.

From the given information, we have that;

Let the consecutive integers be;

x, x+ 1, x+ 2

This can be represented as;

(x+1)(x+2) = 8(x + x+ 2)

Now, expand the bracket

x² + 2x + x + 2 = 8(2x + 2)

x² + 3x + 2 = 16x + 16

collect like terms

x² + 3x - 16x + 2 - 16 = 0

Add or subtract like terms

x² - 13x - 14 = 0

Solve the quadratic equation

x² -14x + x - 14 = 0

factor in pairs

x(x- 14) + 1(x -14) = 0

Then,

x = -1

x = 14

Take 'x' as 14

smallest integer = 14

Median = 14 + 1 = 15

Largest integer = 16

Hence, the values are 14, 15 and 16

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Answer:

[tex]\frac{2}{2} + \frac{1}{4} = \frac{5}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{2} + \frac{1}{4}[/tex]

Required

Solve

[tex]\frac{2}{2} + \frac{1}{4}[/tex]

Take LCM

[tex]\frac{2}{2} + \frac{1}{4} = \frac{4 + 1}{4}[/tex]

[tex]\frac{2}{2} + \frac{1}{4} = \frac{5}{4}[/tex]

Answer:

2/2 + 1/4 is 1.25 and               b hh b b b b b b b b b b b b b b

Step-by-step explanation:

Answer:

y = 30

x = 60

Step-by-step explanation:

4y and 2y are consecutive angles, which means they are equal to 180° when added together

that is the same with x and (5x - 180)

to solve, you set the equations to 180

solving:

4y + 2y = 180

6y = 180

y = 30

x + 5x - 180 = 180

6x = 360

x = 60