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GREYUIT [131]
3 years ago
10

five more than one-fourth of a number is two-thirds of that number. find the number. a. 15 b. 12 c. 13 d. 14

Mathematics
1 answer:
andrew11 [14]3 years ago
3 0
Let the number be x, then 5 + 1/4 x = 2/3 x
2/3 x - 1/4 x = 5
5/12 x = 5
5x = 5(12)
x = 12
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Evaluate the determination for the following matrix [144] [522] [155]
Anettt [7]
Matrix :

1    4    4

5    2    2

1    5    5

=> Determinant =

1 * (2*5 - 2*5) - 4 * (5*5 - 1*2) + 4 * ( 5*5 - 2*1)

= 1*(10 - 10) - 4*(25 - 2) + 4*(25 -2) = 1*0 + 4* 23 + 4*(25 - 2) = 0 - 4*23 + 4*23 = 0

Answer: 0
8 0
3 years ago
The value of sin^2 30° - cos^2 30° is​
natulia [17]

Answer:

-1/2

Step-by-step explanation:

Im not going to go into detail about how to compute sin30 and cos 30, but know that sine and cosine are just the ratios between the sides of a 30-60-90 triangle with a hypothenuse of 1.

With that being said:

sin^2 30 - cos^2 30

=  (1/2)^2 - ((sqrt3)/2)^2

= 1/4 - 3/4

= -1/2

7 0
3 years ago
Read 2 more answers
Please can anyone help?
Elena L [17]

Answer:

9/5x^3

Step-by-step explanation:

i hope that is the answer

7 0
3 years ago
Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) 3 217
Soloha48 [4]

Answer:

f(216) \approx 6.0093

Step-by-step explanation:

Given

\sqrt[3]{217}

Required

Solve

Linear approximated as:

f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)

Take:

x = 216; \triangle x= 1

So:

f(x) = \sqrt[3]{x}

Substitute 216 for x

f(x) = \sqrt[3]{216}

f(x) = 6

So, we have:

f(x + \triangle x) \approx f(x) +\triangle x \cdot f'(x)

f(215 + 1) \approx 6  +1 \cdot f'(x)

f(216) \approx 6  +1 \cdot f'(x)

To calculate f'(x);

We have:

f(x) = \sqrt[3]{x}

Rewrite as:

f(x) = x^\frac{1}{3}

Differentiate

f'(x) = \frac{1}{3}x^{\frac{1}{3} - 1}

Split

f'(x) = \frac{1}{3} \cdot \frac{x^\frac{1}{3}}{x}

f'(x) = \frac{x^\frac{1}{3}}{3x}

Substitute 216 for x

f'(216) = \frac{216^\frac{1}{3}}{3*216}

f'(216) = \frac{6}{648}

f'(216) = \frac{3}{324}

So:

f(216) \approx 6  +1 \cdot f'(x)

f(216) \approx 6  +1 \cdot \frac{3}{324}

f(216) \approx 6  + \frac{3}{324}

f(216) \approx 6  + 0.0093

f(216) \approx 6.0093

6 0
3 years ago
The number of people that belong to a certain social website is 412 and growing at a rate of 5% every month. How many members wi
umka21 [38]
<span>Initial number of the people that belong to a certain social website is 412. It is growing at a rate of 5% every month. It means that every month the number of people is growing 1.05 times. We can calculate how many of them will there be in 9 months: 412 * 1.05^9 = 412 * 1.55 = 638.6. When we round to the nearest whole number: there will be 369 members.</span>
8 0
3 years ago
Read 2 more answers
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