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SSSSS [86.1K]
3 years ago
10

Solve the following equation for a. Be sure to take into account whether a letter is

Mathematics
1 answer:
Zina [86]3 years ago
5 0

Answer:

a = \frac{r-q}{g}

Step-by-step explanation:

Given

ga + q = r ( subtract q from both sides )

ga = r - q ( isolate a by dividing both sides by g )

a = \frac{r-q}{g}

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yKpoI14uk [10]

Answer: 42 students are in the musical

8 0
3 years ago
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The length of the rectangle below is (2x-3) and the width is (x+7). Find the area of the rectangle in terms of x.
Alex777 [14]

Answer:

area = 2x² - 17x - 21

Step-by-step explanation:

Area of the rectangle is:

area = (width*length)

area = (x+7)*(2x-3)

        = x*2x + x*-3 + 7*2x + 7*-3

        = 2x² - 3x - 14x - 21

        = 2x² - 17x - 21

4 0
3 years ago
Which equations represent exponential growth? Which equations represent exponential decay? Drag the choices into the boxes to co
Norma-Jean [14]

Answer:

Exponential growth functions are:

A=20000(1.08)^{t}

A=40(3)^{t}

A=1700(1.07)^{t}

Exponential decay functions are:

A=80(\frac{1}{2})^{t}=80(0.5)^{t}

A=1600(0.8)^{t}

A=1700(0.93)^{t}

Step-by-step explanation:

Given:

An exponential function is of the form y=ab^{x}, where, a\ne 0.

Now, if a > 0 and b > 1, then the exponential function represent exponential growth.

If a > 0 and 0 < b < 1, then the exponential function represent exponential  decay.

Let us check each function now.

Option 1: A=20000(1.08)^{t}

Here, a = 20000, b = 1.08

As 1.08 > 1, the function is exponential growth.

Option 2: A=80(\frac{1}{2})^{t}=80(0.5)^{t}

Here, a = 80, b = 0.50

As 0.5 < 1, the function is exponential decay.

Option 3: A=1600(0.8)^{t}

Here, a = 1600, b = 0.8

As 0.8 < 1, the function is exponential decay.

Option 4: A=40(3)^{t}

Here, a = 40, b = 3

As 3 > 1, the function is exponential growth.

Option 5: A=1700(1.07)^{t}

Here, a = 1700, b = 1.07

As 1.07 > 1, the function is exponential growth.

Option 6: A=1700(0.93)^{t}

Here, a = 1700, b = 0.93

As 0.93 < 1, the function is exponential decay.

5 0
3 years ago
Write the slope-intercept form of the equation of each line given the slope and y-intercept
amid [387]
The slope-intercept form of the equation for a line is ...
  y = (Slope)x + (y-intercept)

Put the given information in the appropriate spot in the equation. Simplify as required.
  y = (-1/3)x + 0
can be simplified to

y = (-1/3)x
6 0
3 years ago
The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation o
Andrej [43]

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7010, standard deviation = 43.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

5 0
3 years ago
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