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irinina [24]
3 years ago
10

A sandbox measures 5 feet long, 3 feet wide, and 2 feet tall.

Mathematics
1 answer:
Mkey [24]3 years ago
4 0

Answer:

The volume of the sandbox is 30

Step-by-step explanation:

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3.3^(2x+1)-103^x+1=0 need value of x
photoshop1234 [79]

Answer:

The value of x is approximately -1.531.

Step-by-step explanation:

Let 3.3^{2\cdot x + 1}-103^{x+1} = 0, we proceed to solve this expression by algebraic means:

1) 3.3^{2\cdot x + 1}-103^{x+1} = 0  Given

2) 3.3^{2\cdot x}\cdot 3.3 -103^{x}\cdot 103 = 0 a^{b}\cdot a^{c} = a^{b+c}

3) (3.3^{x})^{2}\cdot 3.3 -\left[\left( \sqrt{103} \right)^{2}\right]^{x}\cdot 103 = 0 (a^{b})^{c} = a^{b\cdot c}

4) (3.3^{x})^{2}\cdot 3.3 - \left[\left(\sqrt{103}\right)^{x}\right]^{2}\cdot 103 = 0 (a^{b})^{c} = a^{b\cdot c}/Commutative property

5) \left[\left(\frac{3.3}{\sqrt{103}}\right)^{x}\right] ^{2}-\frac{103}{3.3} = 0 Existence of multiplicative inverse/Definition of division/Modulative property/a^{b}\cdot a^{c} = a^{b+c}

6) \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\frac{103}{3.3} Existence of additive inverse/Modulative property/(a^{b})^{c} = a^{b\cdot c}

7) \log \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\log \frac{103}{3.3} Definition of logarithm.

8) 2\cdot x\cdot \log \left(\frac{3.3}{\sqrt{103}} \right)= \log \frac{103}{3.3}     \log_{b} a^{c} = c\cdot \log_{b} a

9) 2\cdot x \cdot [\log 3.3-\log \sqrt{103}] = \log 103 - \log 3.3      \log_{b} \frac{a}{d}

10) x\cdot (2\cdot \log 3.3-\log 103) = \log 103 - \log 3.3     \log_{b} a^{c} = c\cdot \log_{b} a/Associative property

11) x = \frac{\log 103-\log 3.3}{2\cdot \log 3.3-\log 103}   Existence of multiplicative inverse/Definition of division/Modulative property

12) x \approx -1.531  Result

The value of x is approximately -1.531.

4 0
3 years ago
Write an equation of the line below.
svp [43]

Answer: y = -2/5x + 3

Step-by-step explanation:

The formula for a line is: y = mx + b.

<em>m</em> is the slope of the line. We calculate this by looking at how many units the line travels vertically over how many units the line travels horizontally, or rise over run. In this example, we can see that the line goes down 2 units for every 5 it goes to the right, meaning the slope is equal to -2/5.

<em>b</em> is the y-intercept, or where the line crosses the y-axis. In this example, the line crosses the y-axis at (0, 3) making the <em>b</em> value equal to 3.

Therefore, the equation for this line put together is y = -2/5x + 3.

5 0
2 years ago
3x+2i=30+4yi <br> Please help by finding x and y <br> ASAP
Fed [463]
X = 15
Y= 1/2

2x = 30
2 = 4y


Hope this helps.
6 0
3 years ago
Please help me with number 3
lisov135 [29]
62 degrees is the answer 90-28 =62
7 0
3 years ago
Read 2 more answers
Can someone help me find the slope , y-intercept ,and equation pls help it’s my finals
Likurg_2 [28]

Answer:

slope: -3

y-intercept: -5

equation: y = -3x - 5

Step-by-step explanation:

The formula for slope is:

(y2 - y1)/(x2 - x1)

Let's use these coordinates:

(-1, -2)

(0, -5)

x1 = -1

x2 = 0

y1 = -2

y2 = -5

Substitute into the formula:

(y2 - y1)/(x2 - x1)

(-5 + 2)/(0 + 1)

Solve:

(-5 + 2)/(0 + 1)

-3/1

= -3

slope = -3

The y-intercept is when the x coordinate is 0.

Looking at the table, we see the coordinate (0, -5).

The y-coordinate is -5.

This means that the y-intercept is -5

y-intercept = -5

Slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept

m = -3

b = -5

Substitute:

y = mx + b

y = -3x - 5

6 0
3 years ago
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