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Alinara [238K]
3 years ago
6

MAJORRR HELP !!!!!

Mathematics
1 answer:
Natalka [10]3 years ago
3 0

\frac{3}{4} = log_{2}(\sqrt[4]{8} )\\-4 = log_{3} \frac{1}{81} \\-6= -3log_{5} 25\\\frac{1}{3} = log_{6} (\sqrt[3]{6} )

Here's how you solve it!

log_{2} \sqrt[4]{8}

Write it in exponential form

log_{2} (2 \frac{3}{4} )

Then simplify

\frac{3}{4}

log_{3} \frac{1}{81}

Write in exponential form

log_{3} (3^{-4} )

Simplify

-4

-3log_{5} 25

Write in exponential form

-3log_{5} (5^{2} )

Simplify

-3 * 2 = -6

-6

log_{6} \sqrt[3]{6}

Write in exponential form

log_{6} (6\frac{1}{3} )

Simplify

\frac{1}{3}

Hope this helps! :3

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The diagram shows a tile in the shape of a trapezium.
Ann [662]

Answer:

286cm²

Step-by-step explanation:

Let the parallel sides be 12cm and 10cm

Height h = 26cm

Area of a trapezium = 1/2(a+b) * h

Area of a trapezium = 1/2(12+10)* 26

Area of a trapezium = 1/2(22)*26

Area of a trapezium = 11 * 26

Area of a trapezium = 286cm²

Hence the area of the tiles is 286cm²

5 0
3 years ago
How much did you invest if you earned $131.60 in interest at a rate of 4% for seven years?
Ket [755]

The amount invested is $ 470

<h3><u>Solution:</u></h3>

Given that ,  we have earned $131.60 as simple interest for an amount deposit at the rate of 4% for seven years.

We have to find the amount invested.  That is, we need to find the principal sum

Let us use the simple interest formula

<em><u>The simple interest is given as:</u></em>

\text { Simple interest }=\frac{p r i n c i p a l \times \text {rate of interest } \times \text {number of years}}{100}

Here, simple interest = $ 131.60

Rate of interest = 4 %

Number of years = 7

principal = ?

Substituting the values in formula, we get

\begin{array}{l}{131.6=\frac{\text { principal } \times 4 \times 7}{100}} \\\\ {131.6 \times 100=\text { principal } \times 4 \times 7} \\\\ {13160=\text {principal } \times 28} \\\\ {\text {Principal }=470}\end{array}

Thus the amount invested is $ 470

4 0
4 years ago
How many groups of 2/3 are in three
Lesechka [4]
2 groups is the answer
6 0
4 years ago
Lauren's scores on her math tests are, 93, 91, 98, 100, 95, 92 , and 96. What score could Lauren get on he next math test so tha
Ugo [173]
First you need to find the mean & median:
mean:
93 + 91 + 98 + 100 + 95 + 92 + 96 = 665
665 / 7 = 95
median:
<u>91</u>, <em>92</em>, <u>93</u>, 95, <u>96</u>, <em>98</em>, <u>100</u>
95

Because the mean and median are the same, her next test score should be 95. The average of the current average and 95 (her next test score) is 95, so that will remain the same. If you add 95 to the median list,the median will still be 95. The same goes for the mean.Her next test score should be 95.
7 0
3 years ago
Algebra find each unknown 6/12=x/2
bearhunter [10]

Answer:

x=1

Step-by-step explanation:

6/12 = x/2

Simplify the left side by dividing the top and bottom by 6

1/2 = x/2

Using cross products

2x =2

Divide by 2

2x/2 =2/2

x=1

5 0
3 years ago
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