A sequence is defined by the recursive function if f(1)=10 what is f(3)

Find the area of the triangle

olchik [2.2K]

Answer:

4.5

Step-by-step explanation:

1/2 times base times height

( Area of a triangle )

1/2(3)(3)

=4.5

6 0

3 years ago

If one angle of a triangle is 100 degrees and the other two angles are equal what is the measure of each unknown angle?

Shkiper50 [21]

Each of the 2 angles would be 40

5 0

3 years ago

I need help on this. The portrait studio can buy photographs on canvas. The small canvas photograph print is $20 and the large c

Whitepunk [10]

<h3>Answer:</h3>

6 large prints
12 small prints

<h3>Step-by-step explanation:</h3>

<em>Numerical Reasoning</em>

Consider a set of prints that consists of 2 small prints and one large print (that is, twice as many small prints as large). The value of that set will be ...

... 2×$20 +45 = $85

To have revenue of at least $510, the studio must sell ...

... $510/$85 = 6

sets of prints. That is, the studio needs to sell at least 6 large prints and 12 small ones.

_____

<em>With an equation</em>

Let x represent the number of large prints the studio needs to sell. Then 2x will represent the number of small prints. Total sales will be ...

... 20·2x +45·x ≥ 510

... 85x ≥ 510

... x ≥ 510/85

... x ≥ 6

The studio needs to sell at least 6 large prints and 12 small prints.

8 0

3 years ago

Describe each step taken to solve the equation. Then, check the solution to see if it is valid. If it is not a valid solution, e

TEA [102]

Answer:

Step-by-step explanation:

given,

a) √x + 6 = 4

to solve the above equation subtract both side with 6

√x + 6 - 6 = 4 - 6

√x = -2

squaring both side

(√x)² = (-2)²

x = 4

a) ∛x + 6 = 4

to solve the above equation subtract both side with 6

∛x + 6 - 6 = 4 - 6

∛x = -2

cubing both side

(√x)³ = (-2)³

x = -8

4 0

3 years ago

The pH of a solution is measured eight times by one operator using the same instrument. She obtains the following data: 7.15, 7.

Nikolay [14]

Answer:

(a)7.185

(b)0.000371

(c) 0.019

(d)Sample variance and Sample standard deviation

Step-by-step explanation:

We are given the following sample data.

7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, 7.18.

(a) Calculate the sample mean. Round your answer to 3 decimal places.

The formula for sample mean =

Sum of terms/Number of terms

= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8

= 57.48/8

= 7.185

(b) Calculate the sample variance. Round your answer to 6 decimal places.

The formula for sample Variance =

(x - mean)²/n - 1

n = 8

Sample variance = (7.15 - 7.185)² + (7.20-

7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1

= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7

= 0.0026/7

= 0.000371428571

Approximately to 6 decimal places = 0.000371

(c) Calculate the sample standard deviation. Round your answer to 3 decimal places.

The formula for Sample Standard Deviation = √Sample variance

= √0.000371428571

= 0.01927248223

To 3 decimal places = 0.019

(d) Which of the following are potential major sources of variability in the experiment

Sample variance

Sample standard deviation

4 0

3 years ago