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3 years ago

Here, help me I'm stuck. T^T

Mathematics

1 answer:

Sedbober [7]3 years ago

6 0

Answer:

5376 in³

Step-by-step explanation:

(12 in · 24 in · 17 in) + (10 in · 4 in · 12 in)

(4896 in³) + (480 in³)

5376 in³

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The population of deer in a state park can be predicted by the expression 106(1.087)t, where t is the number of years since 2010

Arturiano [62]

Answer:

b) When will the number of deer be 600?

Step-by-step explanation:

8 0

4 years ago

Fifty students were eating lunch in the school cafeteria. The ratio of boys to girls was 25:25. Mrs. White asked Kym to explain

Gwar [14]

Answer:

Kym is wrong because instead of 25% it would be 50 percent

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Is this table linear or exponential what us the slope and what is the equation ?

vampirchik [111]

Answer:

this table is exponential

Step-by-step explanation:

the way we can tell this is because we can find a common ratio of 4. we know this because linear tables have a common difference exponential tables have a common ratio. i found this answer by dividing 32,768 and 8,192

32,768/8,192 = 4

you can find a linear function by subtracting point 1 and point 2.

5 0

3 years ago

PLEASE HELP GUYS i am struggling so much, two questions

ankoles [38]

Answer: the equation of the standard parabola

1) $(y-6)^2 = 4 (x-1)$

The equation of the standard parabola

2) (x+5)^2 = 16(y-2)

Step-by-step explanation:

Explanation

Parabola:-

The set of points in a plane whose distance from a fixed point and a constant ratio to their corresponding perpendicular distance from a fixed straight line is a conic.

Let S be a fixed point and l be a fixed straight line from any point P,the perpendicular PM is drawn to the line 'l'

The locus of P such that $\frac{SP}{PM} = constant$
The fixed point 'S' is called the Focus.
The fixed line'l 'is called the directrix of the conic
The constant ratio is known as the eccentricity, denoted by 'e'
If e=1 , the conic is called a parabola

1) Step 1 :-

Given the focus S = (2,6) and directrix is x=0

we know that $\frac{SP}{PM}=1$

now cross multiplication , we get

$SP = PM$

squaring on both sides,we get

$SP^{2} = PM^2$

step 2:-

now using distance formula is

$\sqrt(((x_{2}-x_{1})^2+(y_{2} -y_{1} )^2)$

Given S =(2,6) and P(x,y) be any point on parabola

$SP^2 = (x-2)^2+(y-6)^2$ ........(1)

Now using perpendicular distance formula

let P(x , y ) be any point on the parabola

$\frac{ax_{1}+by_{1}+c }{\sqrt{a^2+b^2} }$

Given the directrix is x =0 and P(x,y) be any point on parabola

$PM^2 = \frac{x^2}{\sqrt{1}^2 }$ ......(2)

equating equation(1) and equation (2), on simplification

we get $(x-2)^2+(y-6)^2 = x^2$ .....(3)

apply $(a-b)^2 = a^2+ b^2+2 ab$

now the equation (3) is

$(y-6)^2 = 4 x-4$

now the standard form of parabola is

$(y-k)^2 = 4 a(x-h)$

Final answer:-

$(y-6)^2 = 4 (x-1)$

2) Explanation:-

step 1:

Given vertex of a parabola is A(-5,2) and its focus is S(-5,6)

here the given points of 'x'co- ordinates are equal

Therefore the axis AS is parallel to y- axis

now the standard equation of parabola

$(x-h)^2 = 4 a (y-k)$

now you have to find' a' value

Given vertex of a parabola is A(-5,2) and its focus is S(-5,6)

The distance of $AS = \sqrt{(-5-(-5)^2+(2-6)^2}$

on simplification we get a =4

Final answer :-

the vertex (h,k) = (-5,2) and a=4

$(x-h)^2 = 4 a (y-k)$

The standard parabola is $(x+5)^2 = 16 (y-2)$

5 0

3 years ago

Make, Dan, Ed, and summer played together on a baseball team. Mike’s batting average was 0.349, dan’s was 0.2, Ed’s was 0.35, an

lawyer [7]

the highest batting average is of Ed's and that is 0.350 .

Step-by-step explanation:

Here we have , Make, Dan, Ed, and summer played together on a baseball team. Mike’s batting average was 0.349, dan’s was 0.2, Ed’s was 0.35, and sy’swas 0.299. We need to find Who had the highest batting average . Let's find out :

According to question we have following parameters as :

$Mike = 0.349\\Dan's=0.200\\Ed's=0.350\\Sy'swas=0.299$

Arranging these data from decreasing to increasing order we get :

⇒ $0.200$

⇒ $(Dan's)0.200$

Therefore , the highest batting average is of Ed's and that is 0.350 .

7 0

3 years ago