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Answer: 0.000000002

Step-by-step explanation:

Evaluation of (2x10^-3)^3 will be achieved by using the law of indices or exponent.

(A^x)^y = A^xy

Therefore,

(2x10^-3)^3= 2x10^-9

Convert the number in standard form back to normal number form

2×10^-9 = 0.000000002

Therefore,

(2x10^-3)^3 = 0.000000002

Answer:

Solution,

[tex]6.2(a + 5) - 2a + 1.2 \\ = 6.2 \times a + 6.2 \times 5 - 2a + 1.2 \\ = 6.2a + 31 - 2a + 1.2 \\ = 6.2a - 2a + 31 + 1.2 \\ = 4.2a + 32.2[/tex]

Hope this helps.

Good luck on your assignment...

Answer:

You have 9 red marbles, 21 green marbles, and 31 blue marbles.

Step-by-step explanation:

Let r equal the number of red marbles

Let b equal the number of blue marbles

Let g equal the number of green marbles.

"I have 5 less blue marbles than 4 times the red marbles."

4r-5=b

"I have 3 more green marbles than 2 times the number of red marbles."

2r+3=g

" All together I have 61 marbles."

r+b+g=61

Substitute the b and g for 4r-5 and 2r+3

r+(4r-5)+(2r+3)=61

5r-5+2r+3=61

5r+2r-5+3=61

7r-2=61

7r=63

r=9

2r+3=g

2(9)+3=g

21=g

4r-5=b

4(9)-5=b

36-5=b

b=31

You have 9 red marbles, 21 green marbles, and 31 blue marbles.

Let me know if this helps :)

Answer:

There are 9 red, 21 greens and 31 blues

Step-by-step explanation:

Set up equations

Let

R=# red

G=# green

B=# blue

I have 5 less blue marbles than 4 times the red marbles.

B=4R-5 .............(1)

I have 3 more green marbles than 2 times the number of red marbles.

G=2R+3..............(2)

All together I have 61 marbles.

R+G+B=61 ..................(3)

Solution:

substitute (1) & (2) in (3)

R + 2R+3 + 4R-5 = 61

Simplify

7R = 61+2 = 63

R = 63/7 = 9 ..........(4)

Substitute (4) in (1)

B = 4R-5 = 4(9) - 5 = 36-5 = 31

Substitute (4) in (2)

G = 2R+3 = 2(9) + 3 = 18+3 = 21

Answer:

Left, Up

Step-by-step explanation:

Since -2 is to the left of 0 on the x-axis, we are moving left 2 units.

Since 7 is above 0 on the y-axis, we are moving up 7 units.

Answer:

The point (-2, 7) is graphed on a coordinate plane. The point is located 2 units left of the origin and 7 units up the origin 1st Blank

Answer:

Let x represent the number of minutes.

Lets y represents the number of beats.

Now consider the graph, when the time is equal to 1 min, the total beats are 60. We can say that this point can be taken in a coordinate plane as (1,60).

Similarly, when time is equal to 2 mins, total beats are 120, and when time is equal to 3 mins, total beats are equal to 180 mins. So the these points on the coordinate plane can be represented as (2,120) and (3,180)

Plot all the three points, and draw a line which joins them and extend the line. The line shows the proportionality relation between both values

Answer:

0,0    1,60

Step-by-step explanation:

x=1

y=60

graph

Answer:

y > -2/3x + 3

Step-by-step explanation:

Well lets first start with the beginning and look at its features.

                                                          Features                                                          

- Dashed line

- Shaded up

- negative slope

- y intercept at 3

____________________________________________________________

So if the line is dashed with the shade going up that means the inequality starts like this,

y >

We can tell that the y intercept is at 3 because that the point the line touches the y axis.

So we got y > 3,

To find slope we use the following formula,

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex],

So we can use points (0,3) and (3,1).

1 is y2 and 3 is y1 so 1 - 3 = -2

3 - 0 = 3

Slope: -2/3x

Thus,

the inequality is y > -2/3x + 3.

Hope this helps :)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

According to the figure, we have an inequation of the form [tex]y > f(x)[/tex], where [tex]f(x)[/tex] is a linear function.

The linear function can be found by using the point-slope formula:

[tex]y-y_{1} = \left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)\cdot (x-x_{1})[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (0, 3)[/tex] and [tex](x_{2}, y_{2}) = (3, 1)[/tex], then the linear function is:

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

[tex]y = -\frac{2}{3}\cdot x+3[/tex] (1b)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

We kindly invite to check this question on inequalities: https://brainly.com/question/15137133

Answer:

A: the graph is decreasing

The graph is decreasing because the slope is negative. Then the correct option is A.

If the value of y increases as the value of x increases, then increasing function.

And if the value of y decreases as the value of x increases, then decreasing function.

In the graph, as the value of x increases, the value of y decreases.

The graph is decreasing because the slope is negative.

Then the correct option is A.

More about the increasing and decreasing of function link is given below.

https://brainly.com/question/14330051

#SPJ5

Answer: (L. W)(x) = 16x^3 - 8x^2 + 2x

Step-by-step explanation:

The Area of a rectangle is calculated thus:

Area (A) = Width(W) × Length(L)

Given that:

Length = L(x) = 2x

Width = W(x) = 8x2 − 4x + 1

A = L(x) * W(x) = (2x) * (8x2 − 4x + 1)

Factorizing L(x) * W(x)

L(x) * W(x) = (L . W)(x)

(L . W)(x) = (2x) * (8x2 − 4x + 1)

(L . W)(x) = 16x^3 - 8x^2 + 2x

Step-by-step explanation:

Question formulation: A boy has a bag of red and blue PET caps, 60 red caps and 40 blue caps, which amount to a total of 100 caps. what is the ratio of the red caps to the total caps in the bag?

Answer

Given

red caps= 60

blue caps= 40

total caps= 60+40= 100

ratio of red to total caps= red:total = 60:100

= 60/100= 6/10

= 6:10

Answer:

1 hour and 6 minutes

Step-by-step explanation:

The next proportion must be satisfied:

18 °F / 28 °F = 2 hours / x hours

x = 2*28/18

x = 3.1 hours in total

Given that she has already waited 2 hours, she must wait 3.1 - 2 = 1.1 extra hours. 1 hour is equivalent to 60 minutes, then 0.1 hours is equivalent to 0.1*60 = 6 minutes.

Hello there! :)

Answer:

D. [tex](\frac{3 }{2}, 2)[/tex]

Step-by-step explanation:

Use the midpoint formula to solve:

[tex](x_{m}, y_{m} ) = (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2}}{2})[/tex]

Plug in the points shown:

[tex](\frac{0+3 }{2}, \frac{4+0}{2})[/tex]

Simplify:

Midpoint coordinates at [tex](\frac{3 }{2}, 2)[/tex]

Answer:

4,480

Step-by-step explanation:

In the above question, we are told that the measurements of the stained glass windows Maria intends to make is 14 inches wide by 20 inches long.

Step 1

We find the area of the window

Length × Width ( Breadth)

= 20 × 14 = 280 square inches

Step 2

The tiles that she intends to use has the following measurements

1/4 inch by 1/4 inch

The Area of these glass tiles = 1/4 × 1/4 = 1/16 square inches.

Step 3

Finally to calculate the number of tiles that she would required to make the stained glass window =

Area of the window ÷ Area of the glass tiles

= 280 square inches ÷ 1/16 square inches

= 4,480

Therefore, Maria would be needing 4,480 glass tiles to make her stained glass window.

Answer:

-6x -8

Step-by-step explanation:

7-3(2x+5)

Distribute

7 - 6x -15

Combine like terms

-6x +7-15

-6x -8

Answer:

[tex]\boxed{\sf \ \ \ -6x - 8 \ \ \ }[/tex]

Step-by-step explanation:

Hello

7 - 3(2x+5) = 7 -3*2x -3*5 = 7 - 6x - 15 = -6x - 8

hope this helps

do not hesitate if you have any question

Answer:

Step-by-step explanation: the discount on the original price is a 20% discount, so it is 20% of x, or 0.2x.

We are told the discount is $3, so 0.2x = 3. Now we solve the equation for x.

0.2x = 3

Divide both sides by 0.2.

x = 3/0.2

x = 15

The regular price is $15.

Answer:

12

Step-by-step explanation:

x = original price

x* 20% = 3

Change to decimal form

x*.2 = 3

Divide each side by .2

x*.2 /.2 = 3/.2

x =15

The original price is 15

Selling price is 15-3 = 12

Answer:

B

Step-by-step explanation:

I remember when I had this question

Answer:

30

Step-by-step explanation:

We know that BD = 20 + 5 = 25. Let's call the point where BD and CE intersect point A. Therefore, ΔBAC ≅ ΔBAE by HL (BC = BE = 25 because they are radii, BA and AB are congruent because of the reflexive property). We can use Pythagorean Theorem to find CA. We can write CA² + 20² = 25² so CA = 15 and since CA = AE = 15 and CE = CA + CE, CE = 15 + 15 = 30.

Answer:

Step-by-step explanation:

BE=BC=25 in

trg BCE isosceles so CE=2✓25^2-20^2

=2"✓625-400=2*✓225=2*15

CE=30

Answer:

I'd think the first one would be correct. To determine whether or not athletes have an increase in vertical leap when wearing the shoes.

I'm not totally sure but this answer just seems the most correct. It would prove if the manufacturers clam is valid. You would have to other brand and models of shoes. You would also have to test the same kind of shoes ie, gym shoe vrs gym shoe instead of gym shoe vrs flip flop.

You would also have to use the different shoe on the same test group of users/athletes to keep a constant.

Hope I help.

Answer:

.33 as a decimal or 33%

Step-by-step explanation:

Divide 1/3 and get .33 as your decimal. To convert to a percentage multiply your decimal by 100. (.33 x 100 = 33 )

Answer:

69

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that [tex]csc(x)=1/sin(x)[/tex] and [tex]sec(x)=1/cos(x)[/tex].

Thus:

[tex]\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}[/tex]

[tex]=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }[/tex]

Let's do the first part first: (Recall how to divide fractions)

[tex]\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}[/tex]

For the second term:

[tex]\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}[/tex]

So, all together: (same denominator; combine terms)

[tex]\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}[/tex]

Note the numerator; it can be derived from the Pythagorean Identity:

[tex]sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)[/tex]

Thus, we can substitute the numerator:

[tex]\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1[/tex]

Everything simplifies to 1.

Answer:

a - 8b + 13c

Step-by-step explanation:

a - (4b -( a - 5b + c + 3c -(a - b - 9c)))

a - (4b - (-5b + c + 3c + b + 9c)))

a - (4b - (-4b + 13c)))

a - (4b  + 4b - 13c)

a- (8b - 13c)

The value of y will be 90°. The sum of angle of the two right angle is 180°. The property of the adjacent angle is used.

We do same operations on both the sides so that equality of both expressions doesn't get disturbed.

Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

Sometimes we can find such value, and sometimes it is not possible at all, or sometimes, there are an infinite number of solutions.

The angles subtended by a circle is 360°, then;

The equation is found as;

[tex]\rm 40^0+50^0+x+y+z=360^0 \\\\ x+y+z=270^0[/tex]

The sum of angle of the two right angle is 180°;

x°+40°+50°=180°

x=90°

y+50°+40°=180°

Y=90°

Hence, the value of y will be 90°.

Learn more about solving equations here:

https://brainly.com/question/18015090

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Answer:

[tex]g(x)=-(x+1)^2-4[/tex].

Step-by-step explanation:

The parent function is

[tex]f(x)=x^2[/tex]

Step 1: Start with the equation [tex]f(x)=x^2[/tex]. Write the equation for the graph of g(x) that has been

reflected, or flipped, over the x-axis.

[tex]f_1(x)=-f(x)[/tex]

[tex]f_1(x)=-x^2[/tex]

Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has

also been shifted down 4 units.

[tex]f_2(x)=f_1(x)-4[/tex]

[tex]f_2(x)=-x^2-4[/tex]

Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has

also been shifted left 1 unit.

[tex]g(x)=f_2(x+1)[/tex]

[tex]g(x)=-(x+1)^2-4[/tex]

Therefore, the required equation is [tex]g(x)=-(x+1)^2-4[/tex].

Answer:

Step-by-step explanation;

1. 41%=0.41=K

2. 23%=0.23=F

3. 98%=0.98=D

4. 67%=0.67=E

5. 34%=0.34=A

6. 12%=0.12=G

7. 48%=0.48=B

8. 76%=0.76=J

A. 3/10=0.3

B. 1/2=0.5

C. 1/4=0.25

D. 5/5=1

E. 2/3=0.67

F. 1/3=0.33

G. 1/10=0.1

H. 3/4=0.75

I. 9/10=0.9

J. 4/5=0.8

K. 2/5=0.4

Answer:

f(6) = 64

Step-by-step explanation:

f(x) = 2^x

Let x = 6

f(6) = 2^6

     = 2*2*2*2*2*2

    = 64

Answer:

B. 64

Step-by-step explanation:

[tex]f(x)=2^x[/tex]

Plug x as 6 and solve.

[tex]f(6)=2^{(6)}[/tex]

[tex]f(6)=2^6[/tex]

[tex]f(6)=2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]

[tex]f(6)=64[/tex]

Work Shown:

SA = surface area of cone

SA = pi*r^2 + pi*r*sqrt(r^2 + h^2)

SA = pi*5^2 + pi*5*sqrt(5^2 + h^2) ... plug in r = 5

SA = pi*5^2 + pi*5*sqrt(5^2 + 12^2) ... plug in h = 12

SA = pi*25 + pi*5*sqrt(169)

SA = 25pi + 5pi*13

SA = 25pi + 65pi

SA = 90pi .... exact surface area in terms of pi

SA = 282.743338823081 .... see note below

SA = 282.7

note: this is the approximate surface area. I used the calculator's stored value of pi, rather than something like pi = 3.14; that way the surface area is as accurate as possible. Your teacher may want you to use pi = 3.14 though, which is why its a good idea to ask and clarify.

Answer:

m<1= 50 degrees

m<2= 130 degrees

m<3= 50 degrees

m<4= 130 degrees

m<5= 40 degrees

m<6= 30 degrees

Step-by-step explanation:

All of the angles of triangles equal to 180 degrees, so you can solve all of the angles based on that info :)

Answer:

Add 7 to each side

Step-by-step explanation:

y−7=38

Add 7 to each side

y−7+7=38+7

y = 45

Answer: add 7

Step-by-step explanation: To solve for y, we need to isolate y and we do that by using inverse operations.

Since we have -7 on the left side, the opposite of subtracting is adding.

So we add 7 to both sides to get y = 45.

Answer:

(0,10)

Step-by-step explanation: