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lys-0071 [83]
3 years ago
8

Problem 6

Mathematics
1 answer:
Jobisdone [24]3 years ago
5 0
I think it is 290 because you add the three numbers
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Find the Domain of the following exponential and logarithmic equations and solve them:
kakasveta [241]

The base of a logarithm should always be positive and can't be equal to 1, so the domain is 0 < <em>x</em> < 1 or <em>x</em> > 1.

\log_{\frac1x}243=5

Write both sides as powers of 1/<em>x</em> :

\left(\dfrac1x\right)^{\log_{\frac1x}243}=\left(\dfrac1x\right)^5

Recall that a^{\log_ab}=b, so that

243=\left(\dfrac1x\right)^5

243=\dfrac1{x^5}

x^5=\dfrac1{243}

Take the 5th root of both sides, recalling that 3⁵ = 243, so

x=\sqrt[5]{\dfrac1{243}}=\boxed{\dfrac13}

5 0
3 years ago
Shawna is saving money to buy a new laptop. She starts her savings with $64. Each week, she adds another $17 to her savings. Gra
Ray Of Light [21]

Answer:

4 weeks

Step-by-step explanation:

5 0
3 years ago
Find the exact value of sin 5pi/4
AURORKA [14]

The exact value of sin 5π/4 is 0. 0677

<h3>How to find the value</h3>

It is important to note that π = 3. 142

Let's find sin 5π

Substitute the value

sin 5π = sin (5 × 3. 142) = sin 15. 71

= \frac{sin 15. 71}{4}

Find the sine of the number

= \frac{0. 27076}{4}

= 0. 0677

Thus, the exact value of sin 5π/4 is 0. 0677

Learn more about trigonometric ratio here:

brainly.com/question/24349828

#SPJ1

8 0
2 years ago
Ming drew the model to represent the equation 24+12=_x(8+4). What is the missing value in Ming's equation 3 4 12 24
Anika [276]

Answer:

3 is the missing value

Step-by-step explanation:

Given

24 + 12 = \_ * (8 + 4)

Required

Complete the blank

The model is not given; but the question can still be solved.

We have:

24 + 12 = \_ * (8 + 4)

Add 8 to 4

24 + 12 = \_ * 12

Add 24 to 12

36= \_ * 12

Divide both sides by 12

3= \_

Rewrite as:

\_  = 3

Hence, the blank will be completed with 3

8 0
3 years ago
2. What does y equal? *<br> y+3/4 = 6
kakasveta [241]

Answer:

3rd option

Step-by-step explanation:

Given

y + \frac{3}{4} = 6 ( multiply through by 4 to clear the fraction

4y + 3 = 24 ( subtract 3 from both sides )

4y = 21 ( divide both sides by 4 )

y = \frac{21}{4} = 5 \frac{1}{4}

6 0
3 years ago
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