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2 years ago

What is 6 the 7th power?

Mathematics

2 answers:

Flauer [41]2 years ago

5 0

6 to the 7th power (or 6^7) is the same as 6 x 6 x 6 x 6 x 6 x 6 x 6, which equals: 279936

raketka [301]2 years ago

4 0

6^7 = 6*6*6*6*6*6*6 = 279,936

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If sin(y degrees) = cos(x degrees), which of the following statements is true?

grin007 [14]

Answer:

Angle y and Angle x are complementary angles

Step-by-step explanation:

we know that

sin(y°)=cos(x°)

then

Angle y and Angle x are complementary angles

∠y+∠x=90°

∠x=90°-∠y

sin(y°)=cos(90°-y°)

therefore

The sine of an angle is equal to the cosine of its complementary angle

6 0

3 years ago

How do I do 2 root 20 - 3 root 5

Komok [63]

2√20=2((√4)(√5)=2((2)(√5)=4√5

now we have
4√5-3√5=1√5=√5

8 0

2 years ago

A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40

malfutka [58]

PART A

The given equation is

$h(t) = - 16 {t}^{2} + 40t + 4$

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4$

We add and subtract

$- 16(- \frac{5}{4} )^{2}$

to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4$

We again factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4$

This implies that,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4$

The quadratic trinomial above is a perfect square.

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4$

This finally simplifies to,

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29$

The vertex of this function is

$V( \frac{5}{4} ,29)$

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

$29$

PART B

When the ball hits the ground,

$h(t) = 0$

This implies that,

$- 16 ( t- \frac{5}{4}) ^{2} +29 = 0$

We add -29 to both sides to get,

$- 16 ( t- \frac{5}{4}) ^{2} = - 29$

This implies that,

$( t- \frac{5}{4}) ^{2} = \frac{29}{16}$

$t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }$

$t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}$

$t = \frac{ 5 + \sqrt{29} }{4} = 2.60$

or

$t = \frac{ 5 - \sqrt{29} }{4} = - 0.10$

Since time cannot be negative, we discard the negative value and pick,

$t = 2.60s$

8 0

2 years ago

The function f(x) is the total amount spent at a store, when purchasing x items that are $5 each and the items are not taxable

Keith_Richards [23]

F(x)=5x

normal domain: all real numbers
practical domain: <span>all positive integers

</span>becasue we can substituent with any positive integer in the place of x

3 0

3 years ago

Read 2 more answers

The following data shows wind speed in a city, in miles per hour, on consecutive days of a month:

shusha [124]

In the data shown, rearranging the data [<span>9.4, 9.2, 9.7, 9.8, 9.4, 9.7, 9.6, 9.3, 9.2, 9.1, 9.4] from the least to the greatest would give us the following data set:

9.1, 9.2, 9.2, 9.3, 9.4, 9.4, 9.4, 9.6, 9.7, 9.7, 9.8

The box-plots uses a 5-number summary. The minimum value, then Q1 which is the media of the lower half of the set, Q2 which is the median of the total set, Q3 which is the median of the upper half of the set, and Q4 which is the highest number. Among the choices, the correct answer is B.</span>

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3 years ago