Can someone please help me and explain?

Simplify 7^7 x 7^3

Marat540 [252]

Algebra

Since the numbers are the same, you are allowed to add the exponents.

${7}^{7} \times {7}^{3} = {7}^{10}$

8 0

2 years ago

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My monthly cell phone bill is $40 plus $.10 for each text message. Write an equation to show the cost of texting. What is my tot

Otrada [13]

Answer:

y=.1x+40; Your total monthly bill is $48 for 80 text messages.

Step-by-step explanation:

y is your total bill

x represents each text message

40 is you cellphone bill cost

.1 is the cost per text message

(y=.1x+40 becomes your equation)

plug 80 to represent "x"

y=.1*80+40 ---> y=48

your total monthly bill is $48

8 0

2 years ago

The width of a container is 5 feet less than its height. Its length is 1 foot longer than its height. The volume of the containe

juin [17]

The height of container is 8 feet

Solution:

Let "w" be the width of container

Let "l" be the length of container

Let "h" be the height of container

The width of a container is 5 feet less than its height

Therefore,

width = height - 5

w = h - 5 ------ eqn 1

Its length is 1 foot longer than its height

length = 1 + height

l = 1 + h ---------- eqn 2

The volume of container is given as:

$v = length \times width \times height$

Given that volume of the container is 216 cubic feet

$216 = l \times w \times h$

Substitute eqn 1 and eqn 2 in above formula

$216 = (1 + h) \times (h-5) \times h\\\\216 = (h+h^2)(h-5)\\\\216 = h^2-5h+h^3-5h^2\\\\216 = h^3-4h^2-5h\\\\h^3-4h^2-5h-216 = 0$

Solve by factoring

$(h-8)(h^2+4h+27) = 0$

Use the zero factor principle

If ab = 0 then a = 0 or b = 0 ( or both a = 0 and b = 0)

Therefore,

$h - 8 = 0\\\\h = 8$

Also,

$h^2+4h+27 = 0$

Solve by quadratic equation formula

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$\mathrm{For\:} a=1,\:b=4,\:c=27:\quad h=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \:27}}{2\cdot \:1}$

$h = \frac{-4+\sqrt{4^2-4\cdot \:1\cdot \:27}}{2}=\frac{-4+\sqrt{92}i}{2}$

Therefore, on solving we get,

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

Thus solutions of "h" are:

h = 8

$h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i$

"h" cannot be a imaginary value

Thus the solution is h = 8

Thus the height of container is 8 feet

8 0

3 years ago

Explain how you can find whether 5/6 or 5/8 is greater

ratelena [41]

Because The Smaller The Denominators The Bigger The Fraction Pieces So The Denominators With 6 And 8 The Six Is Smaller So The 5/6 Will be Greater Than 5/8 .

Hope This Helps :)

4 0

2 years ago

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I forgot what range is...can someone plz help me , thank u

disa [49]

Answer:

3

Step-by-step explanation:

Range is finding the difference between the biggest number(3) and the smallest number(0). 3-0=3

3 0

2 years ago

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