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worty [1.4K]
2 years ago
12

The flagpole casts an 8 foot shadow as shown in the table at the same time the oak tree casts 12-foot shadow how tall is the oak

tree
Mathematics
1 answer:
jolli1 [7]2 years ago
3 0

How tall is the flagpole?

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What is 4 square root of 81 to the fifth power in exponential form
creativ13 [48]

Answer:

B is the answer.

Step-by-step explanation:

x^{\frac{m}{n} }  = \sqrt[n]{x^{m} }  

\sqrt[4]{81^{5} } =  81^{\frac{5}{4} }

5 0
2 years ago
A principal of $2000 is placed in a savings account at 3% per annum compounded annually. How much is in the account after one ye
natita [175]

Answer:

Step-by-step explanation:

After one year

A=p(1+r/n)^nt

=2000(1+0.03/12)^12*1

=2000(1+0.0025)^12

=2000(1.0025)^12

=2000(1.0304)

=$2060.8

After two-years

A=p(1+r/n)^nt

=2060.8(1+0.03/12)^12*2

=2060.8(1+0.0025)^24

=2060.8(1.0025)^24

=2060.8(1.0618)

=$2188.157

After three years

A=p(1+r/n)^nt

=2188.157(1+0.03/12)^12*3

=2188.157(1+0.0025)^36

=2188.157(1.0025)^36

=2188.157(1.0941)

=$2394.063

8 0
2 years ago
Amy hiked 3.25 miles farther than Meng. Amy hiked 7 miles. Which equation can be used to find the number of miles, x, Meng hiked
Verdich [7]
Let distance covered by Meng be 'x' (given)

x+3.25=7

5 0
2 years ago
Read 2 more answers
Use a daily production cost C for x units. A manufacturer of gas grills has daily production costs of C = 400 – 5x + 0.125x2, wh
Lady bird [3.3K]
The function given is a quadratic function, so the graph will be a parabola. It'll look similar to the photo attached. The minimum cost will be at the vertex of the parabola because that is its lowest point! To find the x-value of the vertex (which is what the question is looking for), use the vertex formula: x = -b/2a. The variable b is the coefficient of the x term in the function, and the variable a is the coefficient of the x² term. In this case, a = 0.125 and b = -5.
x = -(-5)/2(0.125)
x = 5/0.25
x = 20
So, 20 gas grills should be produced each day to maintain minimum costs. Hope that helps! :)

8 0
2 years ago
Read 2 more answers
A torch and a battery cost £2.50 altogether. The torch costs £2.00 more than the battery.
Genrish500 [490]

Answer:

\frac{1}{10}

Step-by-step explanation:

Let t represent the cost of the torch and b represent the cost of the battery.

The torch and a battery cost £2.50 altogether.

\Rightarrow t+b=2.50

The torch costs £2.00 more than the battery.

\Rightarrow t=b+2.00

We substitute the second equation into the first equation to get;

\Rightarrow b+2.00+b=2.50

\Rightarrow 2b=2.50-2.00

£2.50

\Rightarrow 2b=0.50

\Rightarrow b=0.25

The price of the battery is £0.25

We express this as a fraction of the total cost which is £2.50 to get;

\frac{0.25}{2.5}=\frac{1}{10}

8 0
2 years ago
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