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3 years ago

11k-3+4k+8 =( )k+( ) please i need help!! it doesn't make sense!

Mathematics

2 answers:

satela [25.4K]3 years ago

4 0

Simplified it would be 15k+11

Kruka [31]3 years ago

3 0

Answer:

15k+15

Step-by-step explanation:

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The circumference of the inner circle is 66 ft. The distance between the inner circle and the outer circle is 44 ft. By how many

Ray Of Light [21]

Answer:

276 4/7 ft

Step-by-step explanation:

Let r1 represent the radius of the inner circle. Then its circumference in feet is ...

C = 2πr

66 = 2π(r1)

If the radius of the outer circle is (r1 +44), then its circumference is ...

C = 2π(r1 +44) = 2π(r1) +2π(44)

C = 66 +88π

Then the difference in the circumferences is ...

(66 +88π) - (66) = 88π

Using the given value of π, the difference in circumferences is ...

(88 ft)(22/7) = 1936/7 ft = 276 4/7 ft

6 0

2 years ago

What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm? Ente

natulia [17]

The measure in radians for the central angle of the circle is; 0.9 radians.

<h3>What is the angle measure in radians of the central angle?</h3>

Since, the length of the arc is given as 7.2cm and it's radius is 8cm.

It follows that the angle measure of the central angle can be evaluated as follows;

7.2 = (A/6.28) × 2× 3.14 × 8

7.2 = 8A

A = 7.2/8

A = 0.9 radians.

Read more on radian measure;

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8 0

1 year ago

A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

3 years ago

Slope of (1, -1) and (5,-7)

Gemiola [76]

Answer: m = -3/2

Step-by-step explanation: Use the slope formula to find the slope m.

Hope this helps you out. If not, comment and let me know what you want/need for this question. Good luck! ☺

4 0

3 years ago

The children in my subdivision were bored one summer and decided to hold a competition to see who could run to the end of the st

Ainat [17]

Answer:

6.7% of children who finished the race in under 45 seconds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 75 seconds

Standard Deviation, σ = 20 seconds

We are given that the distribution of time of completion is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(finished the race in under 45 seconds.)

P(x < 45)

$P( x < 45) = P( z < \displaystyle\frac{45 - 75}{20}) = P(z < -1.5)$

Calculation the value from standard normal z table, we have,

$P(x < 45) = 0.067 = 6.7\%$

6.7% of children who finished the race in under 45 seconds.

4 0

3 years ago