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4 years ago

What is 120.571 in expanded form?

Mathematics

2 answers:

Alex777 [14]4 years ago

7 0

In expanded form, 120.571 is

... 1·100 + 2·10 + 5·1/10 + 7·1/100 + 1·1/1000

This seems to best match your selection ...

... C. 1·100+2·10+5·110+7·1100+1·11000

Doss [256]4 years ago

4 0

Answer:

it is C i believe :)

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The following is an arithmetic sequence that has 10 numbers LaTeX: 1,\ a_2, \ a_3, \ a_4, \ \cdots,\ a_{10}.1 , a 2 , a 3 , a 4

Naddika [18.5K]

Answer:

$a_2=3$

Step-by-step explanation:

The arithmetic sequence is given as: $1,\ a_2, \ a_3, \ a_4, \ \cdots,\ a_{10}$

We are told that the 10 numbers add up to 100.

$S_n=\frac{n}{2}(a_1+l)\\ $Where: \\n=number of terms\\l=last term\\a_1$=first term$

$S_{10}=100\\100=\dfrac{10}{2}(1+l)\\100=5(1+l)\\$Divide both sides by 5$\\20=1+l\\$Last term, $l=20-1=19$

We know that the nth term of an arithmetic sequence

$l=a_1+(n-1)d\\19=1+(10-1)d\\19=1+9d\\9d=19-1\\9d=18\\d=2$

Therefore, the second number

$a_2=a_1+2\\=1+2\\a_2=3$

3 0

4 years ago

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte

statuscvo [17]

Answer:

Option 4.

Step-by-step explanation:

The vertex form of a parabola is

$g(x)=a(x-h)^2+k$ ... (1)

where, a is a constant (h,k) is vertex.

The given function is

$f(x)=x^2$

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).

It is given that the vertex of function g(x) is at (5,2).

Substitute h=5 and k=2 in equation.

$g(x)=a(x-5)^2+2$

g(x) is passes through (3, 6).

$6=a(3-5)^2+2$ .... (2)

$6-2=4a$

$4=4a$

Divide both sides by 4.

$a=1$

Substitute a=1 in equation (2).

$g(x)=1(x-5)^2+2$

$g(x)=(x-5)^2+2$

The function g(x) is $g(x)=(x-5)^2+2$ .

Therefor, the correct option is 4.

3 0

3 years ago

Read 2 more answers

a bag contains 6 blue balls 3 green balls and 3 yellow balls. what is the probability of choosing one blue ball then a yellow ba

aliina [53]

Answer:

probability of blue ball is 1/2

probability of yellow ball is 1/4

Step-by-step explanation:

We have given 6 blue balls 3 green balls and 3 yellow balls

Total number of balls are: 12

$probability=\frac{number of favourable outcomes}{total number of outcomes}$

we have to find the probability of choosing a blue ball:

$\text{probability of choosing a blue ball}=\frac{6}{12}=\frac{1}{2}$

Then the ball was placed in the bag since, it is given replacement

Now, we have to find probability of choosing a yellow ball

$\text{probability of choosing a yellow ball}=\frac{3}{12}=\frac{1}{4}$

4 0

3 years ago

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How do you work out the radius of a circle from its area ?

goblinko [34]

Answer:

u divide the area by 3.14

Step-by-step explanation:

it reverses the area

3 0

3 years ago

Read 2 more answers

(1.2,5.1) and has an x-intercept of 3.7

serg [7]

Y=mx+a is the standard linear form. 0=3.7m+a so a=-3.7m
Another point on the line is (3.7,0) by definition of x-intercept.
The slope m=(5.1-0)/(1.2-3.7)=-5.1/2.5=-2.04.
The equation is y=-2.04x+3.7×2.04=-2.04x+7.548.

5 0

3 years ago