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Sergeu [11.5K]
3 years ago
14

Given the piecewise function shown below, select all of the statements that are true.

Mathematics
1 answer:
mafiozo [28]3 years ago
8 0
A.  f(1)=5   (as defined on the second line, x=1)   TRUE  because f(1)=5
B.  f(5)=5^2=25 (as defined on third line, x>1)   FALSE   because f(5) ≠ 1
C. f(-2)=2(-2)=-4  (as defined on first line, x<1)  FALSE   because f(-2) &ne; 4
D. f(2)=2^2=4  (as defined on third line, x>1)   TRUE   because f(2)=4
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18. Brown eyes (B) are dominant to blue eyes (b). The presence of freckles (F) is dominant to the absence of freckles (f). What
MrRissso [65]

Answer:

For bbff we have only 6.3% probability

Step-by-step explanation:

If the parents are heterozygous for both traits, them they are represented by:

BbFf × BbFf

Parent 1: BbFf

Parent 2: BbFf

We have to find the percentage of occurence of bb × ff, which is a child that has blue eyes and no freckles, with no dominant factor.

By distributing the possibilities in a Punnett square, <em>vide</em> picture. We have the following possibilities:

Genotype   Count     Percent  

bBfF  4     25

BBfF  2     12.5

bBFF  2     12.5

bBff          2     12.5

bbfF  2     12.5

BBFF  1     6.3

BBff      1            6.3

bbFF  1     6.3

bbff      1     6.3

For bbff we have only 6.3% probability

6 0
3 years ago
Answer quickly plz
Rainbow [258]

Answer:

The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.

Pi = π = 3.14

Step-by-step explanation:

Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)

The formula for the circumference of circle when Diameter is given = πD

π = Circumference / Diameter

For Circle A :

Circle A has a diameter of 7 inches, a circumference of 21.98 inches.

π = 21.98 inches/7 inches

π = 3.14

For Circle B

The diameter of circle B is 6 inches, the circumference is 18.84 inches

π = 18.84 inches/6 inches

π = 3.14

Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)

The formula for the area of the circle = πr²

Circle A has a diameter of 7 inches, an area of 38.465 square inches.

r = Radius = 7 inches ÷ 2

= 3.5 inches

π = Area / Radius²

π = 38.465 in²/(3.5 inches)²

π = 3.14

For Circle B

The diameter of circle B is 6 inches, and the area is 28.26 square inches.

r = Radius = 6 inches ÷ 2

= 3 inches

π = Area / Radius²

π = 28.26 in²/(3 inches)²

π = 3.14

Part C: What observation can you make about the value of pi for circles A and B? (2 points)

The observation I can make for the values of pi for circles A and B is that the value of pi remains the same whether we find pi using the circumference of the circle or the Area of the circle, the value of pi remains the same for both circles.

8 0
3 years ago
100 POINTS
IgorLugansk [536]

Answer:

Step-by-step explanation:

90.9^2 - 21.2^2 = b^2

8,262.81 - 449.44 = b^2

b = 88.39326897450959189749074160142

7 0
3 years ago
Kiera has $20 in a savings account. The interest rate is 5%
Anuta_ua [19.1K]

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 20 × 0.05 × 2 = 2

I = $ 2.00

The simple interest accumulated

on a principal of $ 20.00

at a rate of 5% per year

for 2 years is $ 2.00.

8 0
3 years ago
Find the value of x,
Gekata [30.6K]

Answer: x = -7

Concept:

From the given graph, we can see that it is an isosceles triangle since the two base angles are congruent.

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

<u>Given information</u>

First Side = 7

Second Side = x + 14

<u>Given expression deducted from the definition of an isosceles triangle</u>

Second Side = First Side

<u>Substitute values into the expression</u>

x + 14 = 7

<u>Subtract 14 on both sides</u>

x + 14 - 14 = 7 - 14

\boxed{x=-7}

Hope this helps!! :)

Please let me know if you have any questions

5 0
3 years ago
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