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zhuklara [117]
2 years ago
14

Evaluate 7p+6(p/q)2 q if p = 6 and q = 3. show your work and give an explanation for each step .

Mathematics
1 answer:
Degger [83]2 years ago
6 0

Answer:

63 is the required value.

Step-by-step explanation:

We need to find the value if p = 6 and q = 3 in the below expression i.e.

7p+6(\dfrac{p}{q})^2-q

Put p = 6 and q = 3 in the above expression.

=7(6)+6(\dfrac{6}{3})^2-3\\\\=42+6(2)^2-3\\\\=42+24-3\\\\=63

So, the value of the given expression is 63.

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Consider the equation 0.75⋅10^w/3=30
Nastasia [14]

Answer:

The value of w is:

w=3\cdot log_{10}(40)

Step-by-step explanation:

We have to calculate w from the equation

0.75\cdot 10^{w/3}=30

The solution has to be expressed as a logarithm in base 10.

We can solve it like:

0.75\cdot10^{w/3}=30\\\\10^{w/3}=30/0.75=40\\\\(w/3)log_{10}(10)=log_{10}(40)\\\\w/3=log_{10}(40)\\\\w=3\cdot log_{10}(40)

The value of w is:

w=3\cdot log_{10}(40)

5 0
3 years ago
What shapes are formed by cross sections parallel to the base of a hexagonal pyramid?
siniylev [52]

The answer is the option B, which is: B. Similar hexagons.

The explanation for this answer is shown below:

By definition, a cross section is the shape that is formed when a plane cuts or makes a slice through a solid.

The hexagonal pyramid has an hexagonal as its base. If you make slices parallel to the base of this pyramid, you will see the shape of this base in different sizes. Therefore the shapes that are formed by cross sections parallel to the base of the hexagonal pyramid are similar hexagons.

7 0
3 years ago
The National Coffee Association reported that of U.S. adults drink coffee daily. A random sample of U.S. adults is selected. Rou
kirill115 [55]

The question is incomplete. The complete question is :

The National Coffee Association reported that 62% of U.S. adults drink coffee daily. A random sample of 225 U.S. adults is selected. Round your answers to at least four decimal places as needed.

Required:

a. Find the mean μ.

b. Find the standard deviation σ.

c. The standard deviation σ.

Solution :

a). Percentage of the US adults who drinks coffee daily = 62%

Therefore, the mean, μ = 0.62

b). We know, p = μ = 0.62

And n = 225

Therefore, the standard deviation is given by :

$\sigma=\sqrt{\frac{p\times (1-p)}{n}}$

 $=\sqrt{\frac{0.62\times (1-0.62)}{225}}$

 $=\sqrt{\frac{0.62\times 0.38}{225}}$

 $=0.0324$

c). Standard deviation, σ = 0.0324

3 0
3 years ago
Solve for 2/3(9 - 6) + 40<br> and 7/8 - (-1/10) + (-3/5)
masha68 [24]

Answer:

first one is 42

second one is 3/8

Step-by-step explanation:

4 0
3 years ago
A pipe consists of two concentric cylinders, with the inner cylinder hollowed out. Describe how you could calculate the volume o
elena-14-01-66 [18.8K]

Answer:

cylinder formula

Step-by-step explanation:

4 0
3 years ago
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