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3 years ago

For a function F, what does F(5) represent? (20 points)

Mathematics

2 answers:

svp [43]3 years ago

7 0

Answer:

Answer is F(5)=11

Dafna1 [17]3 years ago

7 0

Answer:

The value of the dependent variable when the independent variable is 5

Step-by-step explanation:

i hope this helps

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The speed of 10 cars on a certain highway stretch was recorded below. If the mean of the data is 63.2 with a standard deviation

AleksandrR [38]

Answer: 58

Step-by-step explanation:

5 0

2 years ago

All three sides of a triangle are initially 4 m in length. One of the triangle's sides is oriented horizontally. The triangle is

Arlecino [84]

Answer:

the new height of the triangle = 2.449

Step-by-step explanation:

Given that:

the sides of the triangle are 4m in length i.e they are equal. It shows that the triangle is known to be an equilateral triangle.

Let say the triangle is a triangle IJK

Let the length of the side to be i = 4

Definitely

IJ = JK = IK = i = 4

If a midline is drawn and cuts the equilateral triangle in two equal halves of a right-angle triangle. Then, suppose the midline is L

Then ;

$JL = \dfrac{1}{2} JK$

$JL = \dfrac{1}{2} i$

Let consider triangle IJL

(IL)² = (IJ)² - (JL)²

$(IL)^2 = i^2 - \dfrac{i^2}{4}$

$(IL)^2 = \dfrac{3i^2}{4}$

$(IL) =\sqrt{ \dfrac{3i^2}{4}}$

$IL =\sqrt{3} \dfrac{i}{2}$

Area of triangle IJK can be expressed as:

$Area = \dfrac{1}{2}\times Base \times Height$

$Area = \dfrac{1}{2}\times i \times \sqrt{3}\dfrac{i}{2}$

$Area = \sqrt{3}\dfrac{i^2}{4}$

where, i = 4

Then:

$Area = \sqrt{3}\dfrac{4^2}{4}$

$Area = \sqrt{3} \dfrac{16}{4}$

$Area =4 \sqrt{3}$

when the area is exactly half of the original triangle's area, the new height is :

$A = \dfrac{1}{2} \times Area$

$\sqrt{3} \dfrac{i^2}{4} = \dfrac{1}{2} \times 4\sqrt{3}$

$\dfrac{i^2}{4} = \dfrac{1}{2} \times 4$

$\dfrac{i^2}{4} =2$

$i^2 = 8$

$i= \sqrt{8}$

$i= \sqrt{4 \times 2}$

$i= 2 \sqrt{2}$

Finally, the new height of the new triangle is:

$IL =\sqrt{3} \dfrac{i}{2}$

$IL =\sqrt{3} \dfrac{2 \sqrt{2}}{2}$

$IL =\sqrt{3 \times 2}$

$IL =\sqrt{6}$

IL = 2.449 m

6 0

4 years ago

Calvin took his friends to a movie for his birthday. The movie tickets cost $12 per person. He spent less than $180. If x is the

ioda

Answer:

12x<180

Step-by-step explanation:

12x<180

x<180/12

x<15

Since x has to be less than 15, he took at most 14 people.

7 0

4 years ago

Simplify x^6+10x^5+25x^4-x^2-10x-25 using synthetic division

Mashutka [201]

Only the dividend is stated. there's no divisor

5 0

3 years ago

Read 2 more answers

Eight more than four times a number is -12 eauation

Allisa [31]

4x + 8 = -12 is the equation for this statement

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3 years ago