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3 years ago

How do i solve 0.074 x n equals 74

Mathematics

2 answers:

zysi [14]3 years ago

6 0

Divide both by 0.074 to get n by itself

Serhud [2]3 years ago

3 0

0.074n = 74
multiply both sides by 1000 to make the process simpler
74n = 74000
divide both sides by 74
n = 1000

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Solve for x (-4/3) x - 6 = -26 A. −27 B. −15 C. 15 D. 27

andre [41]

$- \dfrac{4}{3} x - 6 = -26$

//Add 6 to both sides:
$- \dfrac{4}{3} x = -20$

//Multiply by -1 on both sides:
$\dfrac{4}{3} x = 20$

Multiply by 3 on both sides:
$4x = 60$

Divide by 4 on both sides:
$x = 15$

-----------------------------------------
Answer: x = 15 (Answer C)
-----------------------------------------

5 0

3 years ago

Read 2 more answers

explain how it is possible that all proportional relationships are linear functions but not all linear functions are proportiona

OLEGan [10]

Proportional and linear functions are almost identical in form. The only difference is the addition of the “b” constant to the linear function. Indeed, a proportional relationship is just a linear relationship where b = 0, or to put it another way, where the line passes through the origin (0,0).

You’re welcome

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3 years ago

What is 1.63 + m- .12=

tatuchka [14]

M+1.51 is your answer. first you calculate the difference and then you reorder the values.

4 0

3 years ago

How many sets of three consecutive integers are there in which the sum of the three integers equals their product?

skad [1K]

Answer:

Step-by-step explanation:

since the 3 integers are consecutive, we are dealing with x, x+1, x+2.

and their sum is the same as their product :

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

3x + 3 = x(x² + 3x + 2) = x³ + 3x² + 2x

x³ + 3x² - x - 3 = 0

this is a polynomial of third degree.

and as such it has 3 solutions.

of course, it could be that some of them are the same or are even in the realm of complex numbers (i = sqrt(-1)), but usually these 3 solutions are different real numbers.

I tried x=1 just to see, and, hey, it is a solution for this equation.

x = 1 means that the other 2 consecutive integers are 2 and 3.

and indeed, 1+2+3 = 1×2×3 = 6.

now it is easier to find the other 2 solutions, as a zero solution can be expressed as a factor of the whole expression.

for x = 1 the factor term is (x - 1), as this term is then turning 0, when x = 1.

I can divide the main expression by this factor and then analyze the quotient about the other 2 solutions.

x³ + 3x² - x - 3 : x - 1 = x² + 4x + 3

- x³ - x²

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

0 4x² - x

- 4x² - 4x

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

0 + 3x - 3

- 3x - 3

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

0 0

so, the original expression can be written as

(x² + 4x + 3)(x - 1).

now we need to find the 2 zero solutions for x²+4x+3

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 4

c = 3

so,

x = (-4 ± sqrt(4² - 4×1×3))/(2×1) =

= (-4 ± sqrt(16 - 12))/2 = (-4 ± sqrt(4))/2 =

= (-4 ± 2)/2 = -2 ± 1

x1 = -2 + 1 = -1

x2 = -2 - 1 = -3

so, we have the additional solutions :

-1 0 1

-3 -2 -1

-1 + 0 + 1 = -1×0×1 = 0

-3 + -2 + -1 = -3×-2×-1 = -6

and there we have it fully proven :

there are 3 different sets of 3 consecutive integers with the same sum as product.

4 0

2 years ago

A sample is selected from a population with μ = 46, and a treatment is administered to the sample. After treatment, the sample m

Georgia [21]

Answer:

0.5

Step-by-step explanation:

Solution:-

- The sample mean before treatment, μ1 = 46

- The sample mean after treatment, μ2 = 48

- The sample standard deviation σ = √16 = 4

- For the independent samples T-test, Cohen's d is determined by calculating the mean difference between your two groups, and then dividing the result by the pooled standard deviation.

Cohen's d = $\frac{u2 - u1}{sd_p_o_o_l_e_d}$