Calculate 1.7 x 106 times 5.3 x 10^9 by using scientific notation and the product rule.
Express your answer in scientific notation with the proper number of significant figures.​

Answer:

I believe it's A, because all triangles have 3 vertices.

Step-by-step explanation:

Answer:

Figure A

Step-by-step explanation:

We are given that a  statement

''If is is an triangle , then it has three vertices.

We have to find that which diagram represents the given statement

From first diagram

If triangle then it have three vertices because intersection of triangle and three vertices is triangle.

From second diagram

Intersection region of three vertices and triangle is three vertices.

So, from second diagram we cannot say if a triangle then it has three vertices.

Hence, figure A represent the given statement.

Answer:

c. x = 6 only

Step-by-step explanation:

In order to calculate the zeros of f(x), we need to set it equal to zero and find the corresponding values of x.

[tex]x^{2}-12x+36=0[/tex]

Using the midterm breaking, we can split -12x into two such terms whose sum will be -12x and product will be 36x². These two terms are -6x and -6x

So, the above expression can be written as:

[tex]x^2-6x-6x+36=0\\\\ x(x-6)-6(x-6)=0\\\\ (x-6)(x-6)=0\\\\ (x-6)^{2}=0\\\\ x-6=0\\\\ x=6[/tex]

This means, the zero of f(x) occurs at x = 6 only.

Answer:

5h -2

Step-by-step explanation:

(6h + 1) - (h+3)

= 6h + 1 - h -3

= 5h -2

6h +1 - h+3

Subtract like terms:

6h - h = 5h

1-3 = -2

The answer becomes 5h-2

Answer:

2 2/5

Step-by-step explanation:

5/6 x-4 = -2

Add 4 to each side

5/6 x-4+4 = -2+4

5/6 x = 2

Multiply by 6/5 to isolate x

6/5 *5/6 x = 6/5 *2

x = 12/5

Changing this from an improper fraction

5 goes into 12   2 times with 2 left over

x = 2  2/5

Answer:

2

Step-by-step explanation:

Angela has a marbles.

Brian has twice as many as Angela, so Brain has 2a.

Caden has three times as many as Brain, so Caden has 3(2a)=6a.

Daryl has five times the number of marbles as Caden, so Daryl has 5(6a)=30a.

We are given that these 4 people together have 78 marbles.

Angela's + Brain's + Caden's + Daryl's =78

  a          +    2a      +   6a        + 30a      =78

Combine the like terms:

39a=78

Divide both sides by 39:

  a=78/39

   a=2

Answer:

(12,1.625)

Step-by-step explanation:

According to the given statement:

Cost of gas per gallon = $6

Cost of diesel per gallon = $8

Cost of x gallon gas  = 6x

Cost of y gallon diesel = 8y

You have at most $85 to spend on fuel

Therefore the equation we get is:

6x+8y≤85

You must purchase at least 12 gallons of gas for your car

x≥12

Plot the graph and you get possible solutions:

(12,1.625)..

Answer:

So we have (-1,3), (-2,2) and (-5,-1).

Step-by-step explanation:

So we need to find the equation of the line that is parallel to the blue line going through point P.

The slope of the blue line (count the rise/run) is 1/1=1.

Parallel lines have the same slope.  

So y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.

So since the blue line has slope 1 and parallel lines have the same slope then the line going through point P will have slope 1 too.

Point P is actually the y-intercept of the line going through P.

So the equation that is parallel to the blue line going through point P is y=1x+4. b was 4 because it was the y-intercept.

You can also just write y=1x+4 as y=x+4.

Testing the points:

(-4,2)?

Does y=x+4 for this point?  2=-4+4 which gives us 2=0 so no for this point.

(-1,3)?

Does y=x+4 for this point?  3=-1+4 which gives us 3=3 so yes for this point.

(-2,2)?

Does y=x+4 for this point?  2=-2+4 which gives us 2=2 so yes for this point.

(4,2)?

Does y=x+4 for this point?  2=4+4 which gives us 2=8 so no for this point.

(-5,-1)?

Does y=x+4 for this point?  -1=-5+4 which gives -1=-1 so yes for this point.

So we have (-1,3), (-2,2) and (-5,-1).

Answer:BCE

Step-by-step explanation:I jus did it on EDGE

Answer:

The correct answer option is A. $4,400.

Step-by-step explanation:

Cost of the tuition and fees for 1 year = $12,500

Grants and scholarships for 1 year = $6500

Cost of room and board for 1 year = $8200

Cost for work study for 1 year = $9800

So basically, Marcel pays = (tuition and fees + cost of room and board)

                                          = $12,500 + $8,200 = $20,700

He can pay through the (grants and scholarships + cost for work-study) =  $6,500 + $9,800 = $16,300

Therefore, Marcel needs to borrow = $20,700 - $16,300 = $4,400

Answer:

The answer is A

Step-by-step explanation:

2 x 10^(10 - 2)

2 x 10^(8)

2 x 100,000,000

200, 000, 000

Answer:

TRUE

Step-by-step explanation:

No Solution

Brainliest Please :)

Answer:

6

Step-by-step explanation:

9^3 ÷2 the inverse is 9÷3×2 =9÷3=3×2=6 the answer is 6

Answer:

-1 edge

Step-by-step explanation:

...

1st-1

2nd –i

I just did it on edge :D

Answer:

3 and 4: B

Step-by-step explanation:

As per the property of traversal lines, when two parallel lines are cut by traversal then the corresponding angles formed are equal.

In given case ∠6 is corresponding angle of ∠8 and ∠8 is corresponding to ∠18.

Hence option B is correct for 3 and statements!

If lines are ||, corresponding angles are equal.

Answer:

If lines are ||, corresponding angles are equal.

Step-by-step explanation:

yep

Answer:

you would divide the two numbers. 2 divided by 11 is 0.18

Answer:

0.181818182 or rounded is 0.18

Step-by-step explanation:

to turn any fraction into a decimal you always do numerator divided by denominator

Final answer:

To find the liters for 5 cups of water, divide 5 by 4.22, according to the conversion rate obtained from the given table.

Explanation:

To calculate the number of liters used if Saloman used 5 cups of water, we need to determine how many cups are in a liter. According to the unit conversion provided, 1 liter is equivalent to approximately 4.22 cups. To find the number of liters from the number of cups, we should divide the total cups by the number of cups per liter. Therefore, to find the liters for 5 cups, we divide 5 by 4.22.

The calculation is: 5 cups ÷ 4.22 cups/liter = number of liters.

Answer:

The graph has a minimum.

Step-by-step explanation:

The top answer choice would also be a genuine statement if that negative symbol was removed from outside the 4. Second, whenever A is positive, the parabola opens up with a minimum value.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

Answer:

The value of f[ g(x) ] = 7x + 27

Step-by-step explanation:

It is given that, f( x ) = 7x + 13 and g( x ) = x + 2

To find the value of f(g(x))

g(x) = x + 2 and 7x + 13   (given)

Let g(x) = x + 2

f [ g(x) ] = 7(x + 2) + 13  [ substitute the value of g(x) in f(x) ]

 = 7x + 14 + 13

 = 7x + 27

Therefore the value of f[ g(x) ] = 7x + 27

Answer:

[tex]y+1=\dfrac{1}{3}(x+2)[/tex] - point-slope form

[tex]f(x)=\dfrac{1}{3}x-\dfrac{1}{3}[/tex] - function notation

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the graph we have the points (-2, -1) and (1, 0).

Substitute:

[tex]m=\dfrac{0-(-1)}{1-(-2)}=\dfrac{1}{3}[/tex]

[tex]y-(-1)=\dfrac{1}{3}(x-(-2))[/tex]

[tex]y+1=\dfrac{1}{3}(x+2)[/tex] - point-slope form

[tex]y+1=\dfrac{1}{3}(x+2)[/tex]          use the distributive property

[tex]y+1=\dfrac{1}{3}x+\dfrac{2}{3}[/tex]           subtract 1 = 3/3 from both sides

[tex]y=\dfrac{1}{3}x-\dfrac{1}{3}[/tex]

Answer:

Point slope form : [tex]y-0=\frac{1}{3}(x-1)[/tex]

Function notation : [tex]f(x)=\frac{1}{3}(x-1)[/tex]

Step-by-step explanation:

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the point slope form of line is

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is slope.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that he line passes through the points (-2,-1) and (1,0). Slope of the line is

[tex]m=\frac{0-(-1)}{1-(-2)}=\frac{1}{3}[/tex]

The point is (1,0) and slope is 1/3. So, the point slope form of the line is

[tex]y-0=\frac{1}{3}(x-1)[/tex]

[tex]y=\frac{1}{3}(x-1)[/tex]

Therefore the point slope form is [tex]y-0=\frac{1}{3}(x-1)[/tex].

Replace y by f(x) to write the equation in function notation.

[tex]f(x)=\frac{1}{3}(x-1)[/tex]

Therefore the function notation is [tex]f(x)=\frac{1}{3}(x-1)[/tex].

Answer:

Simplification of [tex]-5-\sqrt{-44}[/tex] is:

[tex]-5-2i\sqrt{11}[/tex]

Step-by-step explanation:

We are given a expression:

[tex]-5-\sqrt{-44}[/tex]

We have to simplify the given expression.

We know that:

[tex]\sqrt{-1}=i[/tex]

[tex]-5-\sqrt{-44}\\\\=-5-\sqrt{-4\times 11}\\ \\=-5-\sqrt{-1\times 2^2\times 11}\\ \\=-5-2i\sqrt{11}[/tex]

Hence, simplification of [tex]-5-\sqrt{-44}[/tex] is:

[tex]-5-2i\sqrt{11}[/tex]

Answer:

-13x^4+2x^3+8x^2-5x

Step-by-step explanation:

(3x^2-5x-7x^4)-(-2x^3+6x^4-5x^2)

= 3x^2-5x-7x^4+2x^3-6x^4+5x^2

= -13x^4+2x^3+8x^2-5x

Answer:

-x(13x³ - 2x² - 8x + 5)

Step-by-step explanation:

1. Distribute the negative to the numbers inside the parenthesis. Remember that two negatives multiplied will make a positive, and a negative and a positive will become a negative.

3x² - 5x - 7x^4 + 2x³ - 6x^4 +  5x²

2. Combine like terms. Remember that only numbers with the same number and exponents can be combined.

3x² - 5x - 7x^4 + 2x³ - 6x^4 +  5x²

                        ↓

   8x² - 5x - 7x^4 + 2x³ - 6x^4

                        ↓

        8x² - 5x - 13x^4 + 2x³

3. Rewrite the answer in descending order of powers.

-13x^4 + 2x³ + 8x² - 5x

4. Simplify The equation. The terms all have x in common, so we will take that out first. The smallest amount of x's any term has is one (-5x only has one x), so the most we can take out is one x. We will do this by lowering the power of every x by one.

x(-13x³ + 2x² + 8x - 5)

5. Since 13 and 5 are prime and do not go into 2 or 8 we will not be simplifying the coefficients. However, the last thing we can do is take out a negative.

-x(13x³ - 2x² - 8x + 5)

Answer:

Total distance mouse traveled in 3 hours = [tex]\frac{3}{24}[/tex] of a mile

The mouse traveled the same distance in each hour. So in order to find the distance covered in 1 hour we have to divide the distance covered in 3 hours by 3. This will give us the distance that the mouse traveled in one hour.

So, the distance traveled in one hour will be = [tex]\frac{3}{24} \div 3 = \frac{3}{24} \times \frac{1}{3} =\frac{1}{24}[/tex] of a mile

The error which Matt made was that he divided only the denominator of the expression by 3, this probably was a calculation error.

Correct conclusion will be: Mouse travel 1/24 of a mile each hour

Answer:

Matt should have divided 3 by 3, not 24 by 3. (C.)

Step-by-step explanation:

since its a whole number you do not divide it at all.

Also:

Answer:

C:  Two dimensions

Step-by-step explanation:

Yes:  a plane has two dimensions; think of a plane as being defined by the x- and y-axes, which intersect at a point in the plane.

A plane have two dimensions.

A plane is a flat, two-dimensional surface that prolongs infinitely far. A plane is a two-dimensional analogue that could consist of a point, a line and three-dimensional space.

A plane is a flat, two-dimensional surface that extends indefinitely. It has two dimensions because every point in the plane can be described by a linear combination of two independent vectors.

Hence, a plane have two dimensions.

Find out more information about plane here:

https://brainly.com/question/17515776

#SPJ2

Answer:

f(x) = x

Step-by-step explanation:

f(x) = x is of the form y = mx + b.

y = mx + b is the slope-intercept form of the equation of a line, so its graph is a line.

f(x) = x^2 has a variable to the second power, so its graph is a parabola, and not a line.

f(x) = |x| has an absolute value, so its graph is shaped like a V. It is not a line.

Answer:

C. 52 cm

Step-by-step explanation:

A full circle has a degree measure of 360 degrees.

Minor arc DE is intercepted by a central angle of 120 degrees.

120 degrees is 1/3 of 360 degrees, so the length of minor arc DE is 1/3 of the circumference of the circle.

length of minor arc DE = (120/360) * 2 * pi * r

length of minor arc DE = (1/3) * 2 * 3.14 * 25 cm

length of minor arc DE = 52.3333... cm

Answer:

the correct answer is 52.

Step-by-step explanation:

I just got it correct.

The answer of -3(8/9) ÷ 66.9[9 (-8.9 + 9/5) .01] is 0.06237948089

Step-by-step explanation:

To solve this problem -3(8/9) ÷ 66.9[9 (-8.9 + 9/5) .01] we must start with

1. Solve this bracket [9 (-8.9 + 9/5) .01] at first

2. Multiply the answer of the bracket by 66.9

3. Multiply -3(8/9) and divide the answer by the product of the previous

   step

In [9 (-8.9 + 9/5) .01]

∵ (-8.9 + 9/5) = (-8.9 + 1.8) = -7.1

∴ [9 (-8.9 + 9/5) .01] = [9 (-7.1).01]

∵ 9(-7.1)(.01) = -0.639

∴ [9 (-8.9 + 9/5) .01] = -0.639

∵ 66.9 [-0.639] = -42.7491

∵ [tex]-3(\frac{8}{9})=\frac{-8}{3}[/tex]

∴ -3(8/9) ÷ 66.9[9 (-8.9 + 9/5) .01] = [tex]\frac{-8}{3}[/tex] ÷ -42.7491

∴ -3(8/9) ÷ 66.9[9 (-8.9 + 9/5) .01] = 0.06237948089

The answer of -3(8/9) ÷ 66.9[9 (-8.9 + 9/5) .01] is 0.06237948089

Learn more:

You can learn more about decimals in brainly.com/question/1774450

#LearnwithBrainly

For this case we must subtract:

[tex]2- \frac {5} {8} =\\\frac {8 * 2-5} {8} =\\\frac {16-5} {8} =\\\frac {11} {8}[/tex]

Thus, you have [tex]\frac {11} {8}[/tex]of string, after you have cut[tex]\frac {5} {8}[/tex] of it.

If we convert to a mixed number we have to:

[tex]\frac {11} {8} = 1 \frac {3} {8}[/tex]

Answer:

He has [tex]1 \frac {3} {8}[/tex] of string.

Answer:

Choice A.

Step.-by-step explanation:

y=√x

y=x² -1

Substituting the values in choice A:

1.2 = √1.5 = 1.2247     Approximately equal.

1.2 = (1.5)^2 - 1 = 1.25   Approximately equal.

Choice B.

-1.2 = √-1.5  which is imaginary so NOT this one.

Choice C

-1.2 = √1.5 = -1.2247

-1.2 = (1.5)^2 - 1 = 1.25  NO.

Choice D

We have the non real value √-1.5 again so NOT this one.

Answer: Option A

A.(1.5,1.2)

Step-by-step explanation:

We have the following system of equations

[tex]y=\sqrt{x}[/tex]

[tex]y=x^2 -1[/tex]

the solution of the system will be all points that satisfy both equations at the same time

For (1.5,1.2)

[tex]y=\sqrt{1.5}=1.2[/tex]

[tex]y=(1.5)^2 -1=1.2[/tex]

Both equations are satisfied

Note that we can discard options B and D because the domain of the equation [tex]y =\sqrt{x}[/tex] does not include the negative numbers.

We can discard option C because the range of the function [tex]y =\sqrt{x}[/tex] does not include the negative numbers.

Finally the answer is the option A

Step-by-step explanation:

Six less than five times a number is at least thirty- four

n - number

a)

5n - 6 ≥ 34           add 6 to both sides

5n ≥ 40           divide both sides by 5

n ≥ 8

b) in the attachment

c) n ∈ [8, ∞)

Answer:

Step-by-step explanation:

write this expression : f(x) = a(x-h)²+k

when  the axis of symmetry is the line  : x =h and the vertex A(h,k)

y=2x²+4x-3

y = 2(x²+2x - 3/2)

y=2((x²+2x+1) -1 -3/2)

y = 2((x+1)² - 5/2)

y = 2(x+1)² -5.....vertex form      x= -1 the axis of symmetry  and A(-1,-5)the vertex

Answer:

The equation of the axis of symmetry is x = -1.

The  coordinates of the vertex are (-1, -5).

Step-by-step explanation:

y = 2x^2 + 4x - 3

y = 2(x^2 + 2x) - 3

y = 2[ (x + 1)^2 - 1] - 3

y = 2(x + 1)^2  - 5.

The equation of the axis of symmetry is x = -1.

The  coordinates of the vertex are (-1, -5)

Answer:

My blue dot is the y-intercept.

My red dot is my x-intercept.

Please look at the graph.

Step-by-step explanation:

I can show you my graph and mark it where the x-intercepts and y-intercepts are.

Let's begin.

We have y=2/3 x+4.

Compare this to the slope-intercept form, y=mx+b where m is the slope and b is the y-intercept.

You should see that m=2/3 and b=4.

This means the slope is 2/3 and the y-intercept is 4.

Don't forget slope means rise/run.

So once we graph 4 (plot a point) on the y-axis, then we will use our slope to get to one more point.  The slope here tells us to rise 2 and run 3.

Now sometimes our graph is not accurate when drawing by hand so there is a way without graphing that you can find the x- and y-intercepts.

The x-intercept is when the y-coordinate is 0.

The y-intercept is when the x-coordinate is 0.

So to find the x-intercept, I'm going to set y to 0 and solve for x. Like so,

0=2/3 x +4

Subtract 4 on both sides:

-4=2/3 x

Multiply both sides by the reciprocal of 2/3 which is 3/2:

3/2 (-4)=x

Simplify:

-12/2=x

Simplify:

-6=x

Symmetric Property:

x=-6

So the x-intercept is (-6,0).

I actually already have the y-intercept since my equation is in y=mx+b (slope-intercept form).  But if it wasn't you could just set x to 0 and solve for y. Like so:

y=2/3 (0)+4

y=0+4

y=4

The y-intercept is (0,4).

Let's go to our graph now.

Answer:

After I had submitted my answer it gave me this answer

Step-by-step explanation: