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3 years ago

5

How do you graph this inequality on a number line?

ula1" title="r \leqslant - 9" alt="r \leqslant - 9" align="absmiddle" class="latex-formula">

1 answer:

Black_prince [1.1K]3 years ago

5 0

Answer in the attachment.

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A circular garden has a circumference of 63 yards. Lars Is digging a straight line along a diameter of the garden at a rate of 5

k0ka [10]

Answer:

4 hours

Step-by-step explanation:

f the circumference of the circular garden =63 yards

Circumference of a Circle =2πr=πd (d=diameter)

Therefore:

πd= 63

diameter of the circular garden =63/3.14=20 yards

If he digs at a rate of 5 yards per hour, the time required to dig across the garden will be:

20 yards/5 yard per hours = 4 hours

It will take him 4 hours to dig across the circular garden.

7 0

3 years ago

If f(x) = 6 - 5x, what is f(x)^-1? (check attachment)

SCORPION-xisa [38]

f(x) = 6-5x

y = 6-5x .... replace f(x) with y

x = 6-5y .... swap x and y; solve for y

x+5y = 6

5y = 6-x

y = (6-x)/5

$f^{-1}(x) = \frac{6-x}{5}$ ... replace y with the inverse function notation

<h3>Answer: Choice D.</h3>

6 0

4 years ago

Gelneren [198K]

Step-by-step explanation:

8.9x-5 and -6.8x+8

8.9-6.8 + -5+8

2.1x+3

4 0

3 years ago

You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the exper

mrs_skeptik [129]

Each question has four choices, then the probability to guess a correct answer is $p= \frac{1}{4}$ and the probability to select incorrect choice is $q=1-p=1- \frac{1}{4} = \frac{3}{4}$ .

You have a 5-question multiple-choice test, then n=5. The <span>probability that you will guess exactly three out of five questions correctly is </span>
<span /><span>
</span><span> $C_n^kp^nq^{n-k}=C_5^3p^3q^{5-3}= \dfrac{5!}{3!\cdot 2!} \left( \dfrac{1}{4} \right)^3\left( \dfrac{3}{4} \right)^2=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5}{1\cdot 2\cdot 3\cdot 1\cdot 2} \cdot \dfrac{9}{1024} =$ </span>
$= \dfrac{90}{1024} = \dfrac{45}{512}$ .
<span />

6 0

3 years ago

Read 2 more answers

HELPPPPPPPPPPPPPPP please

Bess [88]

The answer is 142 degrees. Angles m<1 and the 38 degree angle are supplementary angles. Supplementary angles equal 180 degrees so, you would do 38 + m<1 = 180. Since you don’t know angle 1, you would subtract 38 from both sides. Once you do that, you get your answer of 142 degrees.

4 0

3 years ago