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aleksklad [387]

3 years ago

7

Round 4,719,429 to the nearest 10,000

2 answers:

inna [77]3 years ago

8 0

Your answer should be 4,719,000

stealth61 [152]3 years ago

4 0

4,720,000. das the answer

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Given the diagram below, which of the following ordered pairs represents the vertex, A?

Leokris [45]

wheres the diagram ?

if you show us i can help thanks!

~bangtanboys7

8 0

3 years ago

Please help asap, brainliest,thanks, and 50 points. Thank you soooo much! <3

Anuta_ua [19.1K]

Answers:

1) $x^{8} y^{8}$

2) $y^{3} \sqrt{y}$

3) $5x^{4} \sqrt{6}$

4) $\sqrt{7}$

5) $\frac{\sqrt{z}}{z}$

Step-by-step explanation:

1) $\sqrt{x^{16} y^{36}}$

Rewriting the expression:

$(x^{16} y^{36})^{\frac{1}{2}}$

Multiplying the exponents:

$x^{\frac{16}{2}} y^{\frac{36}{2}}$

Simplifying:

$x^{8} y^{8}$

2) $\sqrt{y^{7}}$

Rewriting the expression:

$\sqrt{y^{6} y}=(y^{6} y)^{\frac{1}{2}}$

Multiplying the exponents:

$y^{\frac{6}{2}} y^{\frac{1}{2}}$

Simplifying:

$y^{3} y^{\frac{1}{2}}=y^{3} \sqrt{y}$

3) $\sqrt{150 x^{8}}$

Rewriting the expression:

$\sqrt{(6)(25) x^{8}}$

Since $\sqrt{25}=5$ :

$5x^{4}\sqrt{6}$

4) $\frac{7}{\sqrt{7}}$

Multiplying numerator and denominator by $\sqrt{7}$ :

$\frac{7}{\sqrt{7}} (\frac{\sqrt{7}}{\sqrt{7}})=\frac{7}{7\sqrt{7}}$

Simplifying:

$\sqrt{7}$

5) $\frac{5z}{\sqrt{25 z^{3}}}$

Rewriting the expression:

$\frac{5z}{5z \sqrt{z}}$

Simplifying:

$\frac{1}{\sqrt{z}}$

Since we do not want the square root in the denominator, we can multiply numerator and denominator by $\sqrt{z}$ :

$\frac{1}{\sqrt{z}}(\frac{\sqrt{z}}{\sqrt{z}})$

Finally:

$\frac{\sqrt{z}}{z}$

3 0

3 years ago

Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was

hammer [34]

Answer: The raw score for Daniel's exam grade is 101.69.

Step-by-step explanation:

For x be any random variable.

Formula for z-score :

$z=\dfrac{x-\mu}{\sigma}$ , where $\mu$ = population mean

$\sigma$ = population standard deviation.

Let x be the raw score for Daniel's exam grade.

As per given , we have

$\mu=90$ , $\sigma=7$ and z= 1.67 , put these values in the above formula , we get

$1.67=\dfrac{x-90}{7}\\\\\Rightarrow\ x-90=7(1.67)=11.69\\\\\Righarrow\ x=11.69+90=101.69$

Hence, the raw score for Daniel's exam grade is 101.69.

8 0

3 years ago

Does the function g(x) = -2x2 + 10x + 2 have a minimum or a maximum? Identify its value.<br> +

Hitman42 [59]

Answer:

(5/2, 29/2), and this represents a maximum

Step-by-step explanation:

g(x) = -2x^2 + 10x + 2 is a quadratic function with coefficients {-2, 10, 2}.

The formula for the axis of symmetry (which passes through the vertex) is

x = -b/ [2a]. Here, a = -2; b = 10. Therefore, the axis of symmetry is

x = -10/ [2(-2)] = -10/(-4) = 5/2

Evaluate the function g(x) = -2x^2 + 10x + 2 at x = 5/2 to determine the y-coordinate of the vertex:

g(5/2) = -2(5/2)^2 + 10(5/2) + 2, or

g(5/2) = -2(25/4) + 25 + 2, or

g(5/2) = -25/2 + 27, or

g(5/2) = 14.5

The vertex is thus (5/2, 29/2), and this represents a maximum, because the coefficient of the x^2 term is negative (the curve opens downward).

3 0

3 years ago

The value of a certain fraction becomes 1/5 if one is added to its numerator. If one is taken away from its denominator, its val

Lana71 [14]

Answer:

$\frac{2}{15}$

Step-by-step explanation:

Let the original fraction be $\frac{x}{y}$

Then adding 1 to the numerator gives

$\frac{x+1}{y}$ = $\frac{1}{5}$ ( cross- multiply )

⇒ y = 5x + 5 → (1)

Subtracting 1 from the denominator gives

$\frac{x}{y-1}$ = $\frac{1}{7}$ (cross- multiply )

y - 1 = 7x → (2)

Substitute y = 5x + 5 into (2)

5x + 5 - 1 = 7x ← subtract 5x from both sides

4 = 2x ⇒ x = 2

Substitute x = 2 into (1)

y = (5 × 2) + 5 = 10 + 5 = 15

Hence original fraction = $\frac{2}{15}$

6 0

3 years ago