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charle [14.2K]
3 years ago
11

you buy 6 notebooks, 10 folders, 1 pack of pencils, and 1 lunch box for school. after using a $10 gift card, how much do you owe

Mathematics
1 answer:
jek_recluse [69]3 years ago
7 0
Depends on how much the items each cost.
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How would logx (49) = x look like in exponential form
Ivanshal [37]

I'm assuming the given log equation is \log_{\text{x}}(49) = \text{x}

If so, then the exponential form is \text{x}^{\text{x}} = 49

This is because the general form \log_{\text{b}}(\text{x}) = \text{y} transforms into \text{y} = \text{b}^{\text{x}}

For both equations, the 'b' is the base.

5 0
2 years ago
What would happen if a proton were added to the nucleus of the atom? (Check all
Hunter-Best [27]

Answer:

A. It would become a different atom.

C. Its charge would increase by 1

Step-by-step explanation:

Adding or removing protons from the nucleus changes the charge of the nucleus and changes that atom's atomic number. So, adding or removing protons from the nucleus changes what element that atom is! For example, adding a proton to the nucleus of an atom of hydrogen creates an atom of helium.

5 0
3 years ago
Zhang Lei spent $20.00 during his last outing at the bowling alley. This included a one time shoe rental fee of $3.50. He spent
Afina-wow [57]

Answer: The cost per game is $5.5

Step-by-step explanation:

Zhang Lei spent $20.00 during his last outing at the bowling alley. There is a one time shoe rental fee of $3.50. He spent the rest of the money on bowling a number of games.

This means that amount paid for x number of games = 20 - 3.5 = $16.5

If it took Zhang Lei 45 minutes to bowl each game and he spent 2 hours and 15 minutes bowling, total time spent in minutes is 120+ 15 = 135 minutes. Therefore, the number of games is played is 135/45 = 3

If the total number of games played cost 16.5, therefore, the cost per game will be 16.5/3 = $5.5

4 0
3 years ago
The wheels on Darlene's car have on 11-inch radius. If the wheels are rotating at a rate of 378 rpm, find the linear speed in mi
elena-s [515]

Answer:

The linear speed in which Darlene is traveling is 24.74 miles per hour.

Step-by-step explanation:

The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (v), measured in inches per second, is defined by following expression:

v = R\cdot \omega (1)

Where:

R - Radius of the wheel, measured in inches.

\omega - Angular speed, measured in radians per second.

If we know that R = 11\,in and \omega \approx 39.584\,\frac{rad}{s}, then the linear speed, measured in miles per hour, in which Darlene is traveling is:

v = 11\,in\times \frac{1\,mi}{63360\,in} \times 39.584\,\frac{rad}{s}\times \frac{3600\,s}{h}

v \approx 24.74\,\frac{mi}{h}

The linear speed in which Darlene is traveling is 24.74 miles per hour.

8 0
3 years ago
Calculate the average rate of change for the given function, from x = 2 to x = 7.
Marina86 [1]
\bf slope = m = \cfrac{rise}{run} \implies 
\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby 
\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\

\begin{array}{ccll}
x&f(x)\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
-2&0\\2&15\\7&30
\end{array}
\qquad 
\begin{cases}
x_1=2\\
x_2=7
\end{cases}\implies \cfrac{f(7)-f(2)}{7-2}\implies \cfrac{30-15}{5}
\\\\\\
\cfrac{15}{5}\implies 3
5 0
2 years ago
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