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2 years ago

Find the value of x in each case.

Mathematics

1 answer:

pentagon [3]2 years ago

3 0

Answer:

Step-by-step explanation:

All triangles = 180 degrees

65 + 4x + x = 180

65 + 5x = 180

- 65 - 65

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

5x = 115

--- = ----

5 = 5

x = 23

4(23) = 92

F = x = 23

B> 65

92 + 23 + 65 = 180

x = 23

F> = B>

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Which phrase describes the algebraic expression 6x?

Allisa [31]

The algebraic expression uses the terms to denote symbols

sum of means addition

difference of means subtraction

product of means multiplication

quotient of means division

Here we have the term 6x

which actually means 6 times x or

6 multiplied by x

hence by multiplication we use the word product of

so we have the product of 6 and a number as our right answer

5 0

3 years ago

Read 3 more answers

(Can somebody find the sum of this) <br><br><br> (5+2i)+(8-3i)

7nadin3 [17]

Hey there!!

Okay so here are the steps....

(5 + 2i) + (8 - 3i) <---- when we have exponents we should worry about the "i" because it is equal to √-1 but here it isn't the case.
<u>

(13 - i)</u><u /> <----- This is the answer!

<u />I hope this helps! ^__^

7 0

3 years ago

A business uses straight-line depreciation to determine the value y of an automobile over a 5-year period. Suppose the original

Elena-2011 [213]

For this problem. it is found that:

a) The automobile has depreciated 75% in 5 years.

b) The value of the automobile was reduced by $10,500 in five years.

c) The linear function is: s(t) = 14,500 - 2,100t.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = ax + b

In which:

a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the problem, we have that:

a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.

b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.

For the linear function, we have that:

The initial value is b = 14500.

The slope is of a = -10500/5 = -2100.

Hence the linear function is: s(t) = 14,500 - 2,100t.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

6 0

1 year ago

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

kondor19780726 [428]

Answer:

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

Step-by-step explanation:

The kittens are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.

This means that $N = 8 + 10 = 18$

We want 3 boys, so $k = 8$

The director is going to choose 8 of these kittens at random to be in the commercial.

This means that $n = 8$

What is the probability that the director chooses 3 boy kittens and 5 girl kittens?

This is P(X = 3).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 3) = h(3,18,8,8) = \frac{C_{8,3}*C_{10,5}}{C_{18,8}} = 0.323$

0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.

3 0

3 years ago

Given two measurements, x and y, which both have uncertainty. Use the general error propagation formula, δf = vuut ∂f ∂xδx!2 + ∂

ycow [4]

Answer:

Step-by-step explanation:

Attached is the solution

3 0

2 years ago