Answer all of these with work please

Answer: 1. (21/10 or 2.1). 2. (3/2 or 1.5)

Step-by-step explanation:

1. Let's take the first equation as an example (5 1/4 ÷ 2 1/2)

2. First, make both fractions improper (21/4, and 5/2)

3. Next, multiply the first fraction by the reciprocal (numerator and denominator swapped) of the second fraction. This is because, to keep the equation mathematically the same, we need to turn the division question into a multiplication question. In this case, it is 21/4 x 2/5 which answers 21/10, or 2.1.

4. Using the same method, we get 7/2 x 3/7, which is 3/2 (simplified), or 1.5.

I didn't want to give the answers for all the equations, but I hope this method is clear and concise for figuring out the answer for the rest of the equations.

Answer:

10

Step-by-step explanation:

3 = [tex]\frac{30}{10}[/tex] , then

[tex]\frac{30}{10}[/tex] ÷ [tex]\frac{3}{10}[/tex]

= [tex]\frac{30}{10}[/tex] × [tex]\frac{10}{3}[/tex] ( cancel the 10's )

= [tex]\frac{30}{3}[/tex]

= 10

Answer:

  3.7%

Step-by-step explanation:

You want the annual interest rate that results in an investment of $6000 growing to a value of $7351.81 in 5.5 years, when the interest is compounded monthly.

The value of an account in which principal P is invested for t years at annual rate r compounded n times per year is ...

  a = P(1 +r/n)^(nt)

For this problem, we have ...

These values make the equation be ...

  7351.81 = 6000(1 +r/12)^(12 ·5.5) . . . . . . equation with given values

  (7351.81/6000) = (1 +r/12)^66 . . . . . . . . divide by 6000

  (7.35181/6)^(1/66) = 1 +r/12 . . . . . . . . . . rewrite fraction, take 66th root

  (7.35181/6)^(1/66) - 1 = r/12 . . . . . . . . . subtract 1

  (12)((735181/6)^(1/66) -1) = r ≈ 0.03700003

The interest rate is about 3.7%.

Using proportions, it is found that the total length of the tree is of 194 inches. Three separate measurements are needed because it is only possible to add values measured in the same unit.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for unit conversion problems, as unit conversion involve rates between the variables.

For this problem, we have that the measurements in inches, considering the rates in the problem, are as follows:

Hence:

48 + 126 + 20 = 194 inches.

The total length of the tree is of 194 inches. Three separate measurements are needed because it is only possible to add values measured in the same unit.

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Answer:

4 or -4

Step-by-step explanation:

The number on top (the numerator) is the absolute value of 8.  This is just asking the distance from 0.  8 is 8 units away from zero, but so is -8.

So the answer could be [tex]\frac{8}{2}[/tex] or [tex]\frac{-8}{2}[/tex], the answer simplified would be 4 or -4

Value for f(x)  = x² - 12x + 35

Given :

             (f⁰g)(x) = x²-6 x+8

                 g(x) = x-3

Now ,

            (f⁰g)(x) = f(g(x))

         x²-6 x+8 = f(x-3)

let x = x-3

              f(x)  = (x-3)² - 6(x-3) + 8

              f(x)  = x² + 9 - 6x - 6x + 18 +8

              f(x)  = x² - 12x + 35

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Answer:

Step-by-step explanation:

The answer is 3, if you did 4-7 it would be -3, but since both -4-(-7) are negative it's a positive 3.

Ignore the parentheses, is just there so you don't mix the negative sign up with the subtraction sign.

Answer:

Step-by-step explanation:

A 2% decrease each year means that the population at the end of a year is 98% of what it was at the start of the year.  Apply this for t consecutive years and you get the relation

P(t) = Po (0.98)t

Po = 100,000

P(t) = 100,000 (0.98)t

Answer:

C 2

Step-by-step explanation:

Slope is change is y over the change in x

[tex]\frac{5- (-1)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2

Answer:

C. 2

Step-by-step explanation:

The inverse of an exponential function with a base e is the logarithm.

A logarithm is defined simply?

How does exponential growth utilise e?

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Check the picture below.

[tex]3x+17=6x-16\implies 17=3x-16\implies 33=3x\implies \cfrac{33}{3}=x\implies \boxed{11=x} \\\\[-0.35em] ~\dotfill\\\\ (3x+17)+(2y+14)=180\implies 3x+2y+31=180 \\\\\\ 3\stackrel{x}{(11)}+2y+31=180\implies 33+2y+31=180\implies 2y+64=180 \\\\\\ 2y=116\implies y=\cfrac{116}{2}\implies \boxed{y=58}[/tex]

According to the given question -12 [tex]\times[/tex] 2/3 is equal to -8.

There are certain rules to solve this question.

multiply -12 × 2 = -24

And,

then divide it by 3 as stated in the denominator.

[tex]\frac{-24}{3}[/tex] = -8

This is how we solve this equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

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Answer:

38°

Step-by-step explanation:

1. Angles subtended at the circumference is half at the centre. Therefore angle at the centre is 61x2=122

2. Isosceles triangle have equal base angle. 19°

3. Tangent subtends 90° with the radius.

4. 90-19=71

5. 71x2=142°

6. Angles in a triangle add up to 180°

180-142=38°

Answer:

i think its 10 sets of 2 winners

Step-by-step explanation:

Answer:

b = 16

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the angles and equate to 180

b + 15 + 8b - 18 + 39 = 180

9b + 36 = 180 ( subtract 36 from both sides )

9b = 144 ( divide both sides by 9 )

b = 16

Answer:

x = 4,3

Step-by-step explanation:

x²-7 x+12=0

(x-4) (x-3) = 0

x-4=0        x-3=0

x=4            x=3

v(x) = 12 - 2x - 5

Answer:

the phothois not clear pls incorrectly I can't understand

Answer:

domain is horizontal and range is vertical

Step-by-step explanation:

domain is left to right so you look for farthest point on the left side and range you look for the highest point

Answer:m= 83 degrees

Step-by-step explanation: the sum of all three corners will always add up to 180 so adding 31 and 66 together is 97 an then 180-97 is 83.brainliest?

Answer:

5w^3+8w^2-14w-5

Step-by-step explanation:

Answer:

the answer isssssssssssssß

The height of the hill is 12.8 cm.

What is Gravitational potential energy?

The gravitational potential energy of an object is given by:

U = mgh

where,

m is the mass of the object.

g is the acceleration of gravity.

h is the height of the object.

Given that;

The potential energy = 100 J,

In this problem, we have;

The potential energy of the person is = U = 100 J

The mass of the person = m = 80 kg

Now, Solving for h, we find at what height the person is:

h = U /mg

h = 100 / 80*9.8

h = 12.8 cm

Hence, The height of the hill is 12.8 cm.

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Answer:

9. (1/3)

10. (0, -2)

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

Step-by-step explanation:

(x₁, y₁) and (x₂, y₂)

(-3, -3)        (0, -2)

9.      

        y₂ - y₁         -2 - (-3)      -2 + 3         1

m = ------------ = ------------ = ------------ = -------

        x₂ - x₁         0 - (-3)        0 + 3         3

10.

y = (1/3)x - 2

y = -2

y-intercept: (0, -2)

11.

y - y₁ = m (x - x₁)

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

y + 3 = (1/3) (x + 3)

y + 3 = (1/3)x + 1

    -3              -3

y = (1/3)x - 2

I hope this helps!

answer is 38

good right?

Answer:

it's either 6 or -6 because if uts Like negative and positive then it should be either one of those

Answer:

Step-by-step explanation:

34

The number of each type of jewellery she made is 12 earrings and 8 bracelet .

She sells earrings and bracelets on Etsy.

The earrings cost $5 a pair and bracelets cost $12.

She made 20 pieces on Saturday for $156.

let

x = number of pair of earring made

y = number of bracelets

Therefore, the system of equation that can be used to find the number of each jewellery she made can be calculated as follows;

5x +  12y = 156

x + y = 20

multiply equation(i) by 5

5x +  12y = 156

5x + 5y = 100

subtract equation(i) from equation(ii)

7y = 56

y = 56 / 7

y = 8

Hence,

x + 8 = 20

x = 20 - 8

x = 12

Therefore, the number of earring and bracelet she made are 12 and 8 respectively.

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Deliberate bias is the correct answer.

Bias is the tendency of a statistic to overestimate or underestimate a parameter or result. It can be intentional or unintentional. They threaten the accuracy of the collected data. Deliberate bias is the misrepresentation of data to advance an agenda that is done purposely.

The extract of the results of an experiment is changed intentionally for personal benefit in terms of monetary, scientific, personal, or ideological purposes through deliberate bias.

This bias occurs when a group of people wants to control the collected information to move in a certain predetermined direction and receive various benefits that would promote themselves in the area of interest.

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Answer:

aₙ = 2aₙ₋₁  for n ≥ 2
a₁ = 3

Step-by-step explanation:

A geometric sequence can be expressed recursively using the following general equation

aₙ = r . (aₙ₋₁), n ≥ 2
where
aₙ is the nth term
a₁ is the first term of the geometric sequence

r is the common ratio = aₙ/aₙ₋₁

Here we have the terms 3, 6, 12, 24, 48

The common ratio r = 6/3 = 12/6 = ....... = 48/24 = 2

The first term a₁ =  3

So the recursive relation is
aₙ = 2aₙ₋₁  for n ≥ 2
a₁ = 3