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antoniya [11.8K]

3 years ago

6

There are 10 red, 2 blue, 3 orange and 3 green marbles in a bag. The probability of choosing a red one first, and without replac

ing it, choosing a green
one second is
(Write your answer as a fraction in simplest form)

1 answer:

bearhunter [10]3 years ago

4 0

Answer:

10/2

Step-by-step explanation:

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Rina8888 [55]

The maximum whole number of hours is 4 hours.

8 0

3 years ago

The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is

Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

$f(x)=-0.05x^2+2.5x+5.2$

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

$-\infty$

Factorize the given function.

$f(x)=-0.05(x^2-50x-104)$

$f(x)=-0.05(x^2-50x-104)$

$f(x)=-0.05(x^2-52x+2x-104)$

$f(x)=-0.05(x(x-52)+2(x-52))$

$f(x) = -0.05 (x - 52) (x + 2)$

Put f(x)=0 to find the x intercepts.

$0 = -0.05 (x - 52) (x + 2)$

Equate each factor equal to 0.

$x=52,-2$

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

$0\leq x\leq 52$

Therefore the reasonable domain is $0\leq x\leq 52$ and option 4 is correct.

6 0

3 years ago

The length of a rectangle is x feet. Its width is (x-7) feet. Draw and label a rectangle to represent this situation. Then write

a_sh-v [17]

Answer:

Perimeter of rectangle:

$(4x - 14)\text{ feet}$

Step-by-step explanation:

We are given the following in the question:

Length of rectangle:

$x\text{ feet}$

Width of rectangle:

$(x-7)\text{ feet}$

Perimeter of rectangle:

$2\times \text{(Length + Width)}$

Expressions to calculate perimeter

$1. ~2((x) + (x - 7))\text{ feet}\\2.~2(2x-7)\text{ feet}\\3.~ 4x-14\text{ feet}$

The attached image shows the image of the rectangle.

3 0

3 years ago

Based on Charles Waddell Chestnutt's "The Wife Of His Yout. Which of the following statements about Mr. Ryder is true? Choose al

Serjik [45]

I'm pretty sure that there are two statements which are true: b. At the conclusion of the story, Charles Waddell Chesnutt wants readers to see the redeeming qualities in Mr. Ryder. and c. The wife of Mr. Ryder's youth could never be a member of his exclusive society.

3 0

3 years ago

WILL PICK BRAINLIEST!!!

andreyandreev [35.5K]

we are given

$f(x)=10(2)^x$

now, we can compare it with

$f(x)=a(b)^x$

we can find b

we get

$b=2$

now, we are given

How would the graph change if the b value in the equation is decreased but remains greater than 1

Let's take

b=1.8

$f(x)=10(1.8)^x$

b=1.6

$f(x)=10(1.6)^x$

b=1.4

$f(x)=10(1.4)^x$

b=1.2

$f(x)=10(1.2)^x$

now, we can draw graph

now, we will verify each options

option-A:

we know that all y-value will begin at y=0

because horizontal asymptote is y=0

so, this is FALSE

option-B:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is FALSE

option-C:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is TRUE

option-D:

we know that curves are increasing

so, the value of y will keep increasing as x increases

so, this is TRUE

option-E:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is FALSE

4 0

3 years ago

Read 2 more answers