Which measurement is equivalent to 6500 grams A 0.65 kg B 6.5 kg C 65 kg D 650 kg

Find the GCF<br> 34 & 68

photoshop1234 [79]

Answer:

The GCF would be 34.

34/34=1

68/34=2

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4 0

3 years ago

There are four boys and eight girls in a class. The teacher randomly selects three different students to answer questions. The f

umka21 [38]

The probability of the given condition is 28/165.

Given that, there are four boys and eight girls in a class.

We need to find the probability of the given question.

<h3>What is probability?</h3>

The probability is defined as the chances of happening of any random event or the possibility of happening of any event is called the probability.

The teacher randomly selects three different students to answer questions.

The first is the student is a girl, the second student is a boy, and the third student is a girl.

The total number of students=12, the number of boys=4 and the number of girls=8.

Now,

Step 1: The first student is a girl=8/12

Step 2: The second student is a boy=4/11

Step 3: The third student is a girl=7/10

In the first step, you select one of 8 girls among 12 students.

In the second step, you select one of 4 boys among the remaining 11 students.

In the third step, you select one of the remaining 7 girls among the remaining 10 students.

Thus, probability=(8/12)×(4/11)×(7/10)=28/165

Therefore, the probability of the given condition is 28/165.

To know more about probability visit:

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4 0

1 year ago

Identify the terms and like terms in the expression - x - 9x*2 + 12x*2 + 7

alexgriva [62]

The expression - x - 9x^2 + 12x^2 + 7 has 4 terms:
-x, -9x^2, 12x^2, 7

Like terms are:
-9x^2, 12x^2

4 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.

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

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

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

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

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 2 feet less than twice the width. The area of the rectangle is 180 feet squared. Find the length an

Ksenya-84 [330]

Answer:

Width=10

Length=18

Step-by-step explanation:

The length is 2 feet less then twice the width

Let the width be x.

Then the length is 2x -2 based on the given information. Use this to make an equation since it is known that the area is 180feet squared.

x(2x-2)=180

2x^2 - 2x - 180 = 0

2( x^2 - x - 90) = 0

We now have a factorable quadratic.

2(x+9)(x-10)=0

So by zero product property, x=-9, x=10 Since a measure cannot be negative, -9 is an extraneous solution.

So x=10

Then the width is 10 and the length is 18

Hope this helps! Let me know if it is correct!

3 0

3 years ago