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3 years ago

Does exponents help us write repeated addition or multiplication? Explain

2 answers:

8 0

Multiplication is a way to represent repeated addition. ... Instead, we can write this repeated multiplication using an exponent, which is the number of repeated factors. Exponents are written as a superscript number to the right of the number being multiplied.

Bas_tet [7]3 years ago

6 0

Answer:

exponents tell you to multiply a number by itself using the superscript numeral to determine how many times you do this

Step-by-step explanation:

An exponent means repeated multiplication. The base is ; is the number being multiplied. The exponent is ; This means to use two factors of in the multiplication.

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(b²) ____ = b⁻⁶<br> find the missing exponent

allsm [11]

$(b^2)^{-3}=b^{2*(-3)}=b^{-6}$

<span>the missing exponent is -3</span>

6 0

3 years ago

What is the arc measure, in degrees, of major arc \stackrel{\large{\frown}}{ADC} ADC ⌢ A, D, C, start superscript, \frown, end s

Mrrafil [7]

Answer:

$\stackrel{\large{\frown}}{ADC} = 186^{\circ}$

Step-by-step explanation:

Given

See attachment

Required

Determine the measure of $\stackrel{\large{\frown}}{ADC}$

$The\ sum\ of\ angles\ in\ a\ circle\ is$ $360^{\circ}$ .

So, we have:

$\stackrel{\large{\frown}}{ADC} + \stackrel{\large{\frown}}{APB} + \stackrel{\large{\frown}}{BPC} = 360^{\circ}$

Where:

$\stackrel{\large{\frown}}{APB} = 70^{\circ}$

$\stackrel{\large{\frown}}{BPC} = 104^{\circ}$

Substitute these values in the above equation.

$\stackrel{\large{\frown}}{ADC} + 70^{\circ} +104^{\circ} = 360^{\circ}$

$\stackrel{\large{\frown}}{ADC} + 174^{\circ} = 360^{\circ}$

Collect Like Terms:

$\stackrel{\large{\frown}}{ADC} = 360^{\circ} - 174^{\circ}$

$\stackrel{\large{\frown}}{ADC} = 186^{\circ}$

7 0

3 years ago

Read 2 more answers

Which of these items is a tax deduction?

Flura [38]

I'll just provide you some tax deductions.
1) sales tax.
2) state tax
3) health insurance premiums *subject to limitations
4) tax savings for teachers *up to $250 for materials
5) charitable gifts
6) lifetime learning
7) unusual business expense
8) looking for job at the same field *cost incurred during job hunting can be deductible but still subject to limitation
9) self-employed social security

7 0

3 years ago

A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 6

katrin2010 [14]

Answer:

Part a) The height of the ball after 3 seconds is $49\ ft$

Part b) The maximum height is 66 ft

Part c) The ball hit the ground for t=4 sec

Part d) The domain of the function that makes sense is the interval

[0,4]

Step-by-step explanation:

we have

$h(t)=-16t^{2} +63t+4$

Part a) What is the height of the ball after 3 seconds?

For t=3 sec

Substitute in the function and solve for h

$h(3)=-16(3)^{2} +63(3)+4=49\ ft$

Part b) What is the maximum height of the ball? Round to the nearest foot.

we know that

The maximum height of the ball is the vertex of the quadratic equation

Convert the function into a vertex form

$h(t)=-16t^{2} +63t+4$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$h(t)-4=-16t^{2} +63t$

Factor the leading coefficient

$h(t)-4=-16(t^{2} -(63/16)t)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$h(t)-4-16(63/32)^{2}=-16(t^{2} -(63/16)t+(63/32)^{2})$

$h(t)-(67,600/1,024)=-16(t^{2} -(63/16)t+(63/32)^{2})$

Rewrite as perfect squares

$h(t)-(67,600/1,024)=-16(t-(63/32))^{2}$

$h(t)=-16(t-(63/32))^{2}+(67,600/1,024)$

the vertex is the point (1.97,66.02)

therefore

The maximum height is 66 ft

Part c) When will the ball hit the ground?

we know that

The ball hit the ground when h(t)=0 (the x-intercepts of the function)

$h(t)=-16t^{2} +63t+4$

For h(t)=0

$0=-16t^{2} +63t+4$

using a graphing tool

The solution is t=4 sec

see the attached figure

Part d) What domain makes sense for the function?

The domain of the function that makes sense is the interval

[0,4]

All real numbers greater than or equal to 0 seconds and less than or equal to 4 seconds

Remember that the time can not be a negative number

6 0

3 years ago

The motorcycle engine on a kawasaki ninja 1000 has a displacement of 1043 cubic-centimeters (cm3). in order to calculate its eng

marishachu [46]

$\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}$

<h3>Further explanation</h3>

We will calculate the unit conversion factor used to convert its engine displacement from cubic-centimeters to cubic-inches.

The relationships between inch and cm are as follows:

$\boxed{ \ 1 \ inch = 2.54 \ cm\ }$

Inches and cm represent units of length.

Made into fractions, 1 inch as the denominator and 2.54 cm as the numerator.

$\boxed{ \ \frac{1 \ inch}{2.54 \ cm} \ }$

As a unit conversion factor of volume, the numerator and the denominator in cubic.

$\boxed{ \ \frac{(1 \ inch)^3}{(2.54 \ cm)^3} \ }$

$\boxed{ \ \frac{1 \ inch^3}{16.387 \ cm^3} \ }$

Thus, we get the unit conversion factor

$\boxed{\boxed{ \ 0.061 \frac{inch^3}{cm^3}\ }}$

Let's use this unit conversion factor to calculate its engine displacement in new units.

$\boxed{= 1,043 \ cm^3 \times 0.061 \ \frac{inch^3}{cm^3}}$

Note for cm³ units that have been crossed out.

The conversion result is $\ \boxed{ \ 63.623 \ inch^3\ }$

<h3>Learn more</h3>

Convert cubic-kilometers to cubic-meters brainly.com/question/1446243
How to write in scientific notation brainly.com/question/7263463
Calculating mass based on density and volume brainly.com/question/4053884

Keywords: the motorcycle engine, Kawasaki Ninja 1000, 1043 cubic-centimeters (cm³), to calculate, its engine displacement, in cubic-inches (in³), what unit conversion factor

5 0

3 years ago

Read 2 more answers