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2 years ago

What does it mean for a product of factors to be expressed using exponents

Mathematics

1 answer:

MrMuchimi2 years ago

3 0

Example:

7x7x7x7x7x7x7x7x7x7x7x7=84
there are 12 sevens
u put the deleted number as the big number (7) and the number of repeated numbers as the smaller sized number which is called the exponent (12)

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A test is normally distributed with a mean of 70 and a standard deviation of 10. Todd

Damm [24]

Answer:

negative

Step-by-step explanation:

calculating the z score by subtracting the mean and dividing by the standard deviation

(55-70)/10= -1.5

It's negative

5 0

3 years ago

The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in t

EleoNora [17]

H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t

h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79

g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8

Between 2 and 3 seconds.
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1

h(t) = g(t) ⇒ 131 = 131

<span>It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up. </span>

5 0

3 years ago

Help me please and thank you

sdas [7]

Answer:

Based on the model, the length of the wall is $\frac{9}{8}$ ft, the width of the wall is $\frac{1}{2}$ ft, and the height of the wall is $\frac{11}{8}$ ft. The volume of the portion of security wall that Tim has constructed so far is $\frac{99}{128}$ cu ft.

Step-by-step explanation:

Given:

The figure constructed shows a rectangular prism made up of small wooden cubes of length $\frac{1}{8}\ ft$ .

Width of the prism = $\frac{1}{2}\ ft$ .

To find length , height and volume of the figure.

Solution:

From the figure we can conclude that :

Length side of the prism counts 9 cubes.

Thus, length of the prism will be given as :

⇒ $\textrm{Length of each cube}\times \textrm{Number of cubes}$

⇒ $\frac{1}{8}\ ft\times 9$

⇒ $\frac{9}{8}\ ft$ (Answer)

Height side of the prism counts 11 cubes.

Thus, height of the prism will be given as :

⇒ $\textrm{Length of each cube}\times \textrm{Number of cubes}$

⇒ $\frac{1}{8}\ ft\times 11$

⇒ $\frac{11}{8}\ ft$ (Answer)

Volume of the prism can be given as :

⇒ $Length\times width\times height$

⇒ $\frac{9}{8}\ ft\times \frac{1}{2}\ ft\times \frac{11}{8}\ ft$

⇒ $\frac{99}{128}\ ft^3$ (Answer)

7 0

2 years ago

Which of the following rules could represent the function shown in the table?

kvasek [131]

ANSWER

The rule is given by the relation,

$y = 2x + 1$

EXPLANATION

We need to check and see if there is a constant difference between the y-values.

$1 - - 1 = 2 = 3 - 1$

We can see that, there is a constant difference of 2.

This means that the table represents a linear relationship.

Let the rule be of the form,
$y = mx + c$

Then the points in the table should satisfy the above rule.

So let us plug in

$(0,1)$

This implies that,

$1 =m (0) + c$

$1 = 0 + c$

$c = 1$

Our rule now becomes,

$y = mx + 1 - - (1)$

We again plug in another point say, (-1,-1) in to equation (1) to get,

$- 1 = m( - 1) + 1$

we solve for m now to obtain,

$- m=-1-1$

$- m = - 2$

$m = 2$
We now substitute back in to equation (1) to get

$y = 2x + 1$

5 0

2 years ago

Read 2 more answers

Divide 1 day in the ratio 1:2

klasskru [66]

1/3day and 2/3 day
Hope I'm roght

7 0

2 years ago