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3 years ago

What is -8 < 2/5(k - 2)

1 answer:

4 0

If you want to calculate -8 < 2/5 * (k - 2), you have to do the following steps to get to know the value of the k.

-8 < 2/5 * (k - 2)
-8 < 2/5 * k - 4/5
-8 + 4/5 < 2/5 * k
-40/5 + 4/5 < 2/5 * k
-36/5 < 2/5 * k
k > -36/5 * 5/2
k > -18

Result: The value of the k is greater than -18.

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Students at Mendel Middle School are planning a fair for their school's fundraiser. Liam volunteers to help plan the event. The

FinnZ [79.3K]

Answer:

15 hours

Step-by-step explanation:

$x$ is the number of hours that Liam volunteered in the first month

The next month he volunteered $1\dfrac{2}{3}$ times the time he volunteered the first month.

Total time he volunteered in the two months is 40 hours so

$x+1\dfrac{2}{3}x=40\\\Rightarrow x+\dfrac{5}{3}x=40\\\Rightarrow \dfrac{3x+5x}{3}=40\\\Rightarrow x=\dfrac{40\times 3}{8}\\\Rightarrow x=15$

Time he volunteered in the first month is 15 hours.

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3 years ago

Which is a step when multiplying or dividing numbers written in scientific notation?

Veronika [31]

It’s A
As it says in the answer, you usually add / subtract the exponents when needed.

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2 years ago

Read 2 more answers

An equal lateral triangle with a perimeter of 15 units is graft on according to grade the triangle is dilated by scale factor of

inysia [295]

Answer:

(0.25x, 0.25y)

Step-by-step explanation:

Since the origin is the center of the scale factor of dilation, we don't need to add or subtract anything

Multiplying the x and y values of the ordered pair by 0.25 represents what the value would be with the scale factor, meaning multiplication.

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3 years ago

Given a term in a geometric sequence and the common ratio, find the explicit formula, a11=5120 ans r=-2

sweet-ann [11.9K]

Answer:

$U_n=5(-2)^{n-1}$

Step-by-step explanation:

Given a geometric sequence, the nth term of the geometric sequence is obtained by using the formula:

$U_n=ar^{n-1}$

If the eleventh term, $a_{11}=5120$

and the common ratio, r=-2.

Then:

$5120=a(-2)^{11-1}\\a=\frac{5120}{2^{10}} =5$

The explicit formula for the sequence is:

$U_n=5(-2)^{n-1}$

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3 years ago

Round the answer to the nearest

kykrilka [37]

By knowing the blood pressure and applying the quadratic formula, the age of a man whose normal blood pressure is 129 mm Hg is 40 years old.

<h3>How to use quadratic equations to determine the age of a man in terms of blood pressure</h3>

In this problem we have a quadratic function that models the blood pressure as a function of age. As the latter is known, we must use the quadratic formula to determine the former:

129 = 0.006 · A² - 0.02 ·A + 120

0.006 · A² - 0.02 · A - 9 = 0

$A = \frac{0.02 \pm \sqrt{0.006^{2}-4\cdot (0.006)\cdot (- 9)}}{2\cdot (0.006)}$

A = 1.667 + 38.733

A = 40

By knowing the blood pressure and applying the quadratic formula, the age of a man whose normal blood pressure is 129 mm Hg is 40 years old.

To learn more on quadratic equations: brainly.com/question/1863222

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2 years ago