Which numbers I have to put in the boxes

ANSWER

No 3. x = 41 degrees

No 4. x = 6.5 degrees

EXPLANATION

Question 3

Note: One of the angles in a right triangle is 90 degrees. As a result, the sum of the other two angles is 90.

That is:

Question 4

Note: The sum of angles in a triangle is 180

That is:

[tex]g(f(\text{x})) = -3\text{x}^2+3[/tex]

[tex]g(f(2)) = -9[/tex]

=======================================================

Explanation:

Let's compute g(f(x))

We do this by starting with the outer function g(x). Then replace every x with f(x). Then plug in the definition of f(x) as shown below.

[tex]g(\text{x}) = \text{x}-1\\\\g(f(\text{x})) = f(\text{x})-1\\\\g(f(\text{x})) = 4-3\text{x}^2-1\\\\g(f(\text{x})) = -3\text{x}^2+3\\\\[/tex]

At this point, we then plug in x = 2 so we can find that...

[tex]g(f(\text{x})) = -3\text{x}^2+3\\\\g(f(2)) = -3(2)^2+3\\\\g(f(2)) = -3(4)+3\\\\g(f(2)) = -12+3\\\\g(f(2)) = -9\\\\[/tex]

Answer:

price ×time×rate/100 40000×6×14/100

33600

The given expression is equivalent to the third option -19.5b - 6.9. We get this on solving the algebraic expression.

The given expression in the question is

3(-4.5b-2.1) - (6b +0.6)

= -13.5b - 6.3 - 6b - 0.6         (multiplying 3 and -1 respectively with the elements in the bracket)

= -19.5b - 6.9

Therefore we can see that on solving the given algebraic expression we get that it is equivalent to -19.5b - 6.9

Hence the third option which is -19.5b -6.9 is the correct answer.

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The distance between J1 and J2 is 2.94 miles using cosine rule.

What is cosine rule?

Cosine rule relates to the lengths of the sides of a triangle with any of its angles being a cosine angle. With the help of this rule, we can calculate the length of the side of a triangle or can find the measure of the angle between the sides.

cos x = ([tex]b^{2} +c^{2} -a^{2}[/tex])/2bc

x = 45

b = 4

c = 2

to find a

cos 45 = 4(4) +2(2) - [tex]a^{2}[/tex]/2(4)(2)

1/[tex]\sqrt{2}[/tex] = 16 +4 - [tex]a^{2}[/tex]/16

16/[tex]\sqrt{2}[/tex] = 20 - [tex]a^{2}[/tex]

a = 2.94

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Answer:The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases. If MN is the midsegment of trapezoid ABCD, then MN || AB, MN || DC, and MN = (AB + CD).

Step-by-step explanation:

Answer:

MN is 1/2 of DC

Step-by-step explanation:

DC= 44

MN= 22

Answer:

B

Step-by-step explanation:

i had the thing 2 days ago lol

Answer:

Step-by-step explanation:

T = 0.27·c + 31

0.27·c = T - 31

c = (T - 31) / 0.27 = (77 - 31) / 0.27 ≈ 170

Answer:

170 times a minute a cricket chirps at 77° F

The equation that can be solved to determine the number of days when both jobs would have the same cost is 120d + 1,500 = 110d + 2,500.

The equations that would be formed would be linear equations. A linear equation is an equation that has a single variable that is raised to the power of one. A linear equation is a straight line when it is drawn on a graph.

The equation that represents the total bonus of the first job is: fixed pay + total variable pay

1,500 +( $120 x d)

1,500 + 120d

The equation that represents the total bonus of the second job is: fixed pay + total variable pay

$2,500 + ($110 x d)

$2,500 + $110d

When the amount at both jobs are equal, the two above linear functions would be equal

$2,500 + $110d = 1,500 + 120d

Combine similar terms together:

$2,500 - $1,500 = $120d - $110d

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The expression 400 + 0.1s represents her total weekly earnings.

An expression is written in the form of variables and constants separated by the operation of addition and subtraction. There are many types of expressions some of them are algebraic expression, trigonometric expression, logarithmic expressions, and many more.

Given Tasha earns $400 per week plus a commission of 10% on her weekly sales.

She also saves one-fourth of her earnings.

Assuming the amount she makes on sales is s.

∴ The expression that represents her total weekly earnings is,

= 400 + 0.1s.

As 10% in decimal can be written as (10/100) = 0.1.

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Answer:

-2

Step-by-step explanation:

f(x) = 2x, g(x) = x - 4

f(g(3)) = f(-1) = 2(-1) = -2

Answer:

i hope i can answer your question

Step-by-step explanation:

Amber wants to have $300,000 so i don't see another number that you can solve on maybe type that first so i can answer please

Answer:

She earned $42,000 in the previous year

Step-by-step explanation:

9% can be rewritten as 0.09

0.09x is 4050

divide both sides by 0.09

0.09x becomes x

4050 becomes 45,000

then we subtract 3,000 from 45,000 to find the previous years salary

not that bad

goodluck tho :)

Answer:

x = 20

Step-by-step explanation:

4x + 1 and 2x + 41 are alternate exterior angles and are congruent , then

4x + 1 = 2x + 41 ( subtract 2x from both sides )

2x + 1 = 41 ( subtract 1 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

The 'x' and 'y' variables and the 4 angles are highlighted in the boxes

The value of the function operation of each one is represented below.

To solve this problem, we have to perform the operation on each one.

1) (fg)(x)

[tex](fg)(x) = 2x^3 + 12x^2 + 24x + 16[/tex]

2) (hg)(x)

[tex](hg)(x) = x^4 + 4x3 -16x -16[/tex]

3)

(fh)(2)

[tex](fh)(2) = 0[/tex]

4) (gh)(x)

[tex](gh)(x) = x^4 + 4x^3 - 16x -16[/tex]

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The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 3.5% per year for 30 years is $3,075.00. With a principal of £1,500.00 and an interest rate of 3.5% over a 30-year period, Sarah-Jane will save UK £1,575.00. It is undoubtedly a wise investment because the original UK £1,500 doubled.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principal, and the number of days between payments are multiplied to calculate simple interest.

A = P(1 + RT)

A=Final Amount

P = Principal

R = Rate of Interest

T = Time period

Here,

A = $3,075.00

I = A - P = $1,575.00

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

Solving our equation:

A = 1500(1 + (0.035 × 30)) = 3075

A = $3,075.00

$3,075.00 is the total amount accrued from simple interest on a principal of $1,500.00 at a rate of 3.5% per year for 30 years (principal plus interest). In a 30-year loan with a £1,500.00 principal and a 3.5% interest rate, Sarah-Jane will save UK £1,575.00. The original UK £1,500 doubled, so it is unquestionably a smart investment.

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, The constant proportionality is 3

What is Proportionality Constant ?

The proportionality constant is the ratio between two variables that varies directly . For directly proportional variables, their ratio is always a constant and this constant is the proportionality constant.

Now, We have the equation is:

y = 3x

To get the constant of proportionality,

we will derive both sides of the equation by x.

y/x = 3x/x

y/x = 3

Hence, The constant proportionality is 3

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we need to verify for each equation if x=3 is a solution. If we replace x by 3 in the first equation we get

so the answer is letter A

The sampling distributions reach a normal distribution as sample sizes increase.

For the given statement in the question-

As sample sizes grow larger, sampling distributions reach a normal distribution.

The mean of the sampling distribution equals the population mean (µ) (with "infinite" numbers of the successive random samples).

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The equation of the line passes through (2, -10) and to parallel to 14x +2y =  6 is 7x + y = 4

In the above question,

The equation of the line = 14x + 2y = 6

2y = 6 - 14x

y = [tex]- \frac{14x - 6}{2}[/tex]

y = -(7x - 3)

y = -7x + 3

The inclination of a line with respect to the horizontal is measured numerically is called as Slope

Slope of the given line = -7

The slope of a line parallel to the given line would be the same as they both are parallel to each other, hence the needed line's slope is also -7

The point through which is passes = (2, -10)

We need to find the equation of the line which passes through (2, -10) and to parallel to 14x +2y =  6

The equation of a line parallel to the given 14 x + 2 y = 6, and passing through the point (2, -10) is

[y - (-10)] = (-7)[x - 2]

y + 10 = -7x + 14

7x + y = 14 - 10

7x + y = 4

Hence, the equation of the line passes through (2, -10) and to parallel to 14x +2y =  6 is 7x + y = 4

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Step-by-step explanation:

1 + 1 + 1 - 1 - 5 - 5r - 3 - 3 --2 - 6 --4

3 - 1 - 5 - 5r - 3 - 3 -- 2 - 6 -- 4

2 - 5 - 5r - 3 - 3 -- 2 - 6 -- 4

-3 - 5r - 3 - 3 -- 2 - 6 -- 4

-5r - 6 - 3 + 2 - 6 + 4

-5r - 9 + 2 - 6 + 4

-5r - 7 - 6 + 4

-5r -13 + 4

-5r - 9

This is the furthest it can be reduced to if you're not trying to find the value of r.

Hope this helps! :)

Answer:

7 soloists

Step-by-step explanation:

10%   is  .1 in decimal form

70  x  0.1 = 7 soloists

Answer:

Step-by-step explanation:

The  inequality can be represented as 55 + 5x < 70

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Mayerlin pays a flat cost of $55 per month and $5 per gigabyte.

She wants to keep her bill under $70 per month.

let  x be the number of gigabytes Mayerlin can use.

So, the inequality can be represented as

55 + 5x < 70

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Answer:

sinθ-cosθ = 0

sinθ= cosθ

sinθ/cosθ = 1

tanθ = 1

Bu tan45 = 1

So,

tanθ=tan45

θ = 45°

sin45 = 1/√2  cos45 = 1/√2

sin⁴θ+cos⁴θ  = (1/√2)⁴+(1/√2)⁴

                     = 1/4+1/4 = 2/4 = 1/2 = 0.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope this helped you..................

A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas.  

A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas. Every variable in the equation "literally" represents a crucial aspect of the overall relationship that the equation expresses. Multiple letters or variables make up a literal equation. Examples include the formula for calculating speed (v=Dt) and the area of a circle (A=r2). In this part, we resolve straightforward one-variable equations.

Alternatively,

Ax +By = C

Any sign that crosses over equal(=) signs always change

In this case, Ax crosses over to C

By = C - Ax

To eliminate y from By, then

By/y = (C - Ax) /y

y cancel out y on the left side

B  = (C - Ax) /y

The complete question is,

Solve for B in the literal equation Ax+By=C

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The explicit equation of the sequence is an = 3 + (n-1)*6

First term = 3

Second term = 9

A series of numbers in mathematics whose each term is always expressed as a, a+d, a+2d, or a+3d. An arithmetic progression is defined as a + (n-1)d, where a is the first term,d is the common difference of the series and n is the number of terms in the sequence

Any two continuous terms in the arithmetic sequence differ by the same number.

Arithmetic sequence is given by an = a + (n-1)d

So, the common difference = 9-3 = 6

a = 3

Substituting the values in the formula we get:

For nth term: an = 3 + (n-1)*6

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Answer:

It goes

1.) C

2.) A

3.) B

Given:

The cost of belonging to a gym can be modelled by,

To find:

The slope and the y-intercept

Explanation:

The equation is of the slope-intercept form of the linear equation,

Where m is the slope and c is the y-intercept.

Comparing we get,

Here, the slope represents the cost per month of membership and the y-intercept represents the fixed initial fee to be given to the gym for joining.

Final answer:

• The slope is 50.

• The y-intercept is 79.50.

Answer:

B 36

Step-by-step explanation:

36 = 6×6 = 6^2

6^2 is a perfect square