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2 years ago

What is the following difference?

Mathematics

1 answer:

Svetllana [295]2 years ago

7 0

Answer:

$-7ab\sqrt[3]{3ab^2}$

Step-by-step explanation:

Remove perfect cubes from under the radical and combine like terms.

$2ab\sqrt[3]{192ab^2}-5\sqrt[3]{81a^4b^5}=2ab\sqrt[3]{4^3\cdot 3ab^2}-5\sqrt[3]{(3ab)^3\cdot 3ab^2}\\\\=(8ab -15ab)\sqrt[3]{3ab^2}=\boxed{-7ab\sqrt[3]{3ab^2} }$

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sophie makes homemade pizza dough.The recipe calls for 2 cups of flour for every 1/3 cup of water.What is the rate in cups of fl

Zarrin [17]

Answer:

the rate is: 6 cups of flour per cup of water

Step-by-step explanation:

Recall that rate involve quotient of the two quantities in question:

Then cups of flour per cups of water is the quotient: 2 cups of flour divided by 1/3 cup of water:

$\frac{2}{\frac{1}{3} } =2\,*\,\frac{3}{1} = 6$

this means 6 cups of flour per cup of water

6 0

2 years ago

Read 2 more answers

It is 1 1/4 miles from Ahmed’s house to school. How far does Ahmed’s travel in 5 days walking to school and back

Sauron [17]

Ahmed travel $12\frac{1}{2}$ miles in 5 days walking to school and back.

Step-by-step explanation:

Distance from house to school = $1\frac{1}{4}$ miles

Distance from school to house = $1\frac{1}{4}$ miles

Total distance in 1 day = $1\frac{1}{4}+1\frac{1}{4}=\frac{5}{4}+\frac{5}{4}$

Total distance in 1 day = $\frac{5+5}{4}=\frac{10}{4}$

Distance traveled in 5 days = $5*\frac{10}{4}=\frac{50}{4}$

Distance traveled in 5 days = $\frac{25}{2}=12\frac{1}{2}$

Ahmed travel $12\frac{1}{2}$ miles in 5 days walking to school and back.

Keywords: fraction, addition

Learn more about fractions at:

#LearnwithBrainly

5 0

2 years ago

From a survey of coworkers you find that 32% of 150 have already received this year's flu vaccine. An approximate 98% confide

Artyom0805 [142]

Answer:

a) Narrower

b) Narrower

c) Wider

Step-by-step explanation:

We are given the following in the question:

Proportion of coworker who received flu vaccine = 32%

98% confidence interval: (0.231, 0.409)

Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

a) Sample size had been 600 instead of 150

If we increase the sample size, thus the standard error of the interval decreases.

Since the standard error decreases, the confidence interval become narrower.

b) Confidence level had been 90% instead of 98%

As the confidence level increases, the confidence interval becomes narrower. This is due to a smaller value of z-statistic at 90% confidence level.

c) Confidence level had been 99% instead of 98%

As the confidence level increases, the width of the confidence interval increases and the confidence interval become wider. This is because of a larger value of z-statistic at 99% confidence interval.

4 0

2 years ago

The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0. The equation of this circle in standard form is

Ede4ka [16]

Answer:

The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2 with (h,k) being the center of the circle and r being the radius. In this case the circle's equation in standard form is (x-2)^2 + (y+3)^2 = 18. Knowing this it's easy to see that the center of the circle (h,k) is (2,-3). Finally the radius is $\sqrt{18}$ or in simplified terms, 3 $\sqrt{2}$