MATHEMATICS HIGH SCHOOL

What is 14,000,000 in scientific notation?

Answers

Answer 1

Answer: Your final answer is 1.4 × 10 to the power of 7.

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How do you round 5 1/8 to the nearest whole number

Answers

you would round this number to 5. this is because the fraction is closest to the whole number five. if the fraction would have been 5 7/8, you would round it to 6.
i hope this helped!!!

I would round to 5 because its value is closer to 5 than to 6.

How do i solve this equation 6x+3=5x+10

Answers

First: Subtract 5x from each side.

Second: Subtract 3 from each side.

Third: Quickly step off to one side, as the answer
jumps off the page in your direction.

PLEASE HELP ME !!!The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?

base area for cone= B
base area for pyramid= B, 3r heigh

A. V = pi r³
B. V = 1/3 pi r²
C. V = 2 pi r²
D. V = 1/9 pi r³
E. V = 3 pi r³

Answers

The expression for the volume of the pyramid in terms of the radius r of the cone is $\pi r^3$ . So, option A is correct.

The cone is a three-dimensional figure with a vertex and a flat base.

The volume of a pyramid is given by the formula:

$V = (1)/(3) * base\ area * height.$

Given that:

The base area of the pyramid = B

The height is 3r

The base area of the pyramid is the same as that of the cone.

The base of the cone = $\pi r^2$

The volume of the pyramid is calculated as:

$V = (1)/(3) * \pi r^2 * 3r$

V = $\pi r^3$

Therefore, the volume of the pyramid is $\pi r^3$ . So, option A is correct.

Learn more about pyramid here:

#SPJ5

Answer:

The answer is A. V=pi r³

Step-by-step explanation:

:)

If ab = 10 and a2 + b2 = 30, what is the value of
(a + b)^2?

Answers

Answer: (a + b)² = 50

Step-by-step explanation:

(a + b)² = (a + b)(a + b)

= a² + ab + ab + b²

So, (a + b)² = a² + b² + 2ab

Then substitute the value of ab and (a² + b²)

(a + b)² = 30 + 2(10)

= 30 + 20

Therefore, (a + b)² = 50

ab=10
a^2+b^2=30
((a+b)^2=a^2+2ab+b^2=a^2+b^2+2*10=30+20=50

Can someone tell me why the answer is 2? _____
√−3x+10=x

x=2 and x=−5
x=2
x=5
No solution

Answers

Answer:

If we put x=2 in the given equation, we get the answer for the equation as 2

Given:

$√(-3 x+10)=x$

To find:

Why the answer is 2

Solution:

If we substitute the value x=2 in the given option, we get

$√(-3(2)+10)=2$

$√(-6+10)=2$

$√(4)=2$

Result:

Thus we can say that when substitute the value of x=2

We get the answer as $√(-3 x+10)=2$

What is the positive solution of x2 – 36 = 5x?

Answers

Answer:

The positive solution is x=9

Step-by-step explanation:

Given the equation

$x^2-36=5x$

we have to find the positive solution of above equation.

$Equation: x^2-5x-36=0$

By splitting middle-term method

$x^2-5x-36=0$

$x^2-9x+4x-36=0$

$x(x-9)+4(x-9)=0$

$(x+4)(x-9)=0$

$x+4=0, x-9=0$

The solution is x=-4 and x=9

Hence, the positive solution is x=9

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