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3 years ago

Explain why the expression 7*3^x is not equal to the expression 21^x

1 answer:

5 0

According to the order of operations, exponents must be evaluated before multiplication.

Here's and example where x=2.
7*3^2
7*9
63

21^2=441

63 does not equal 441

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How many solutions does the system of equations have?

sertanlavr [38]

Y = 4 x + 3
y = 4 x + 3/2
no solution :) hope this helps

7 0

3 years ago

Read 2 more answers

A ball is thrown straight out at 80 feet per second from an upstairs window that's 15 feet off the ground. Find the ball's horiz

Alex73 [517]

Answer:

Step-by-step explanation:

In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:

a = -32 ft/s/s

v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)

Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)

t = ?? sec.

The equation we will use is the one for displacement:

Δx = $v_0t+\frac{1}{2}at^2$ and filling in:

$-15=(0)t+\frac{1}{2}(-32)t^2$ which simplifies down to

$-15=-16t^2$ so

$t=\sqrt{\frac{-15}{-16} }$ so

t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)

Now we use that time in the x-dimension. Here's what we know in that dimension specifically:

a = 0 (acceleration in this dimension is always 0)

v₀ = 80 ft/sec

t = .968 sec

Δx = ?? feet

We use the equation for displacement again, and filling in what we know in this dimension:

Δx = $(80)(.968) +(0)(.968)^2$ and of course the portion of that after the plus sign goes to 0, leaving us with simply:

Δx = (80)(.968)

Δx = 77.46 feet

5 0

3 years ago

jester has a piece of wood measuring 1 and 2/3 m.he needs to cut in pieces measuring 3/4 m long.how many pieces of wood did jest

sveticcg [70]

Answer:

2 pieces

Step-by-step explanation:

Given

$Length = 1\frac{2}{3}m$

$Pieces = \frac{3}{4}m$

Required

Calculate the number of pieces

To do this, we have to divide the length of the wood by the length of each piece.

Represent this with x

$x= \frac{Length}{Pieces}$

$x= 1\frac{2}{3}/\frac{3}{4}$

Convert mixed numbers to improper fraction

$x= \frac{5}{3}/\frac{3}{4}$

Change division to multiplication

$x= \frac{5}{3}*\frac{4}{3}$

$x= \frac{20}{9}$

$x = 2.22$

$x = 2$

6 0

3 years ago

Is -33 a whole number?

Jet001 [13]

Answer/Step-by-step explanation:

-33 is not a whole number. A whole number is a number(positive) that contains no decimals nor fractions.

5 0

3 years ago

Marta is making 3 servings of fruit salad.she adds 3/8 cup blueberries for each serving.her measuring cup holds 1/8 cup.how many

quester [9]

To solve this problem you must follow the proccedure shown below:

1. You have the following information given in the problem above:

- Marta is making 3 servings of fruit salad.
- Marta adds 3/8 cups blueberries for each serving.
- Her measuring cup holds 1/8 cup.

2. Then, you have:

1 time----1/8 cup
x----3/8 cups

x=(3/8)/(1/8)

x= 3x8/1x8
x=24/8
x=3 times

How many times must Marta measure 1/8 cup of blueberry to have enough for the fruit salad?

The answer is: 3 times

3 0

4 years ago