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3 years ago

solve this system of linear equations. separate the x- and y-values with a comma. x = -42 - 8y -18x = -4 - 8y

Mathematics

1 answer:

just olya [345]3 years ago

7 0

Answer:

x= -19/9

y= -17/72

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Using the figure of the bullseye above, what is the probability that a shooter will hit the 3rd ring? Express your answer as a p

melisa1 [442]

The probability of hitting the third ring is the same as finding what percentage is the area of the third ring out of the total area of the board.

The area of the third ring = The total area of the board - The area of the second circle.

Refer to the diagram below
The diameter for the whole circle = 32 in
The radius = 16 in
The area of the whole circle = π(16)² = 256π

The diameter for the second circle = 22 in
The radius = 11 in
The area of the second circle = π(11)² = 121π

The area of the third ring = 256π - 121π = 135π

Area of the third ring as a percentage of the total area = $\frac{135 \pi }{256 \pi } *100$ = 52.7%

7 0

3 years ago

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19% of a certain population of students at Hardy-Weinberg equilibrium is affected by an autosomal dominant condition called ‘laz

bazaltina [42]

Answer:

81%

Step-by-step explanation:

Let 'L' be the dominant and 'l' e the recessive allele for ‘lazybuttness’.

Since ‘lazybuttness’ is an autosomal dominant condition, the 19% of students affected by the condition correspond to the homozygous dominant (LL) and heterozygous (Ll) genotypes. Therefore, the rest of the population has the homozygous recessive genotype (ll) and is not affected. The frequency of students not affected is:

F = 100% - 19% = 81%

3 0

3 years ago

Find the surface area of the rectangular prism.

AleksAgata [21]

The surface area is

2(5*4)+2(5*2)+2(4*2)=

40+20+16=

76square yards

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2 years ago

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. The height (in feet) of a rocket launched from th

torisob [31]

Answer:

The pairs are;

t, v

2, 96

4, 32

5, 0

6, -32

7, -64

9, -128

Step-by-step explanation:

The given equation is f(t) = -16·t² + 160·t

We have, the velocity, v = d(f(t))/dt = d(-16·t² + 160·t)/dt = -32·t + 160

Which gives;

t, v

0, -32×(0) + 160 = 160

1, -32×(1) + 160 = 128

2, -32×(2) + 160 = 96

3, -32×(3) + 160 = 64

4, -32×(4) + 160 = 32

5, -32×(5) + 160 = 0

6, -32×(6) + 160 = -32

7, -32×(7) + 160 = -64

8, -32×(8) + 160 = -96

9, -32×(9) + 160 = -128

The given velocity values are;

96, -64, 32, 0, -128, -32 which correspond to 2, 7, 4, 5, 9, 6

The pairs are;

t, v

2, 96

4, 32

5, 0

6, -32

7, -64

9, -128

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4 years ago

A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of

Elanso [62]

How many miles did the cars go? You can’t solve the question without that.

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3 years ago

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