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1 year ago

Help me with this question please!

Mathematics

1 answer:

BlackZzzverrR [31]1 year ago

7 0

$\large \rm \frac{2 ^{3} }{ \sqrt[4]{2} }$

$\large \rm \frac{2 ^{3} }{2 ^{ \frac{1}{4} } }$

Divide the terms with the same base by subtracting their exponents

$\large \rm \: 2 ^{3 - \frac{1}{4} }$

Calculate the difference

$\large \rm2 ^{ \frac{11}{4} }$

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which equation, written in standard form correctly represents this scenario and indicates what the variables represent?

pishuonlain [190]

The answer is the third option.

The explanation is shown below:

1. You must keep on mind the information given in the exercise:

- She bough 3 pounds of coffee.

- She bought 2 pounds of chocolate.

- She spent a total of $24.

2. Therefore, you can call the price per pound of coffee $x$ and the price per pound of chocolate $y$ .

3. When you multiply 3 pounds by the price per pound of coffee, you obtain the amount of money she spent for 3 pounds. When you multiply 2 pounds by the price per pound of chocolate, you obtain the amount of money she spent for 2 pounds. If you add both amounts, you obtain the total spent, which was $24.

4. Therefore, you can express this as following:

$3x+2y=24$

5 0

3 years ago

Please help me how to do no 5

snow_tiger [21]

Answer:

-864

Step-by-step explanation:

The determinant of a matrix product is the product of the determinants. The determinant of a transpose is the same as the determinant of the original. Hence ...

$|AB^5C^T|=(4)(-2)^5(\frac{1}{4})=-32$

The multiplication of an n×n matrix by a scalar 'a' multiplies its determinant by a^n, so the desired determinant is ...

$|3AB^5C^T|=3^3(-32) = \boxed{-864}$

3 0

3 years ago

What is 1/7 divided by ? = 14

user100 [1]

First you multiply the numbers you do have to get the number your looking for 1/7•14=2 and 2divided by 1/7=14 so 2 would be your answer

4 0

3 years ago

What is the area of a sector with a central angle of \frac{5 \pi }{6} radians and a diameter of 5.6 in.? Use 3.14 for π and roun

kvasek [131]

Answer:

10.26 in²

Step-by-step explanation:

The area (A) of the sector is

A = area of circle × fraction of circle

= πr² × $\frac{\frac{5\pi }{6} }{2\pi }$

= π × 2.8² × $\frac{5}{12}$ ≈ 10.26 in²

7 0

2 years ago

David inherited some money from his uncle. He invested half of the money with Bernie

ValentinkaMS [17]

Given:
Let x be the whole amount inherited.
1/2 * x - invested with Bernie Madoff
1/3 * x - lost due to identity theft
1/8 * x - lost in casino
40,000 - remainder

x - x/2 - x/3 - x/8 = 40,000

LCM:
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
3: 3, 6, 9, 12, 15, 18, 21, 24
8: 8, 16, 24,

x * 24/24 = 24x / 24
x/2 * 12/12 = 12x / 24
x/3 * 8/8 = 8x / 24
x/8 * 3/3 = 3x / 24
40,000 * 24/24 = 960,000 / 24

24x/24 - 12x/24 - 8x/24 - 3x/24 = 960,000/24
(24x - 12x - 8x - 3x)/24 = 960,000/24
x/24 = 960,000/24
24 * x/24 = 24 * 960,000/24
x = 960,000

x = 960,000 initial inheritance
x/2 = 960,000/2 = 480,000 invested with Bernie Madoff
x/3 = 960,000/3 = 320,000 lost due to identity theft
x/8 = 960,000/8 = 120,000 lost in the casino
40,000 - remaining amount.

960k - 480k - 320k - 120k = 40k
40k = 40k

3 0

2 years ago