Lisa uses 2 pieces of copper wire, each 9 feet long, for
each robot she builds. If she started with a 500-yard roll
of copper wire, which of the following represents the
number of yards of wire left on the roll after 'Lisa built r
robots? (3 feet = 1 yard)

Answer:

[tex] {x}^{2} - 9[/tex]

Step-by-step explanation:

[tex](x−3)(x+3)[/tex]

[tex]x(x+3)−3(x+3)[/tex]

[tex]x \times x+x \times 3−3x−3 \times 3[/tex]

[tex]x \times x−3 \times 3[/tex]

[tex] {x}^{2} - 9[/tex]

Answer:

diverging

Step-by-step explanation:

A regular way to know if a series is converging or diverging, is to check is as the number of terms increase, the value of such terms also increase.

So, if for example, we have:

[tex]A_n > A_{n-1}[/tex]

We know that the series will not converge, because eventually the terms will be very large, and the series will diverge.

In this case we have the series:

1/4, 1/2, 1, 2

So each term is two times the previous one, thus, the n-th term will be larger than the n-th minus one term, so we can conclude that this series diverges.

Answer:

sinx= d/f

cosx= e/f

tanx= d/e

Answer:

First Box: -10/5

Second Box = -1.25

Third Box = -0.5

Fourth Box = 0.75

Fifth Box = 3/2

Step-by-step explanation:

NOTE: I AM SAYING THIS FROM LEFT TO RIGHT

Answer:

The first box should be -[tex]\frac{10}{5}[/tex] ;

The 2nd box should be -1.25 ;

The 3d box should be -0.5 ;

The 4th box should be 0.75 ;

The 5th box should be 3/2 which is the last box left.

Answer:

0.25 (or [tex]\frac{1}{4}[/tex])

Step-by-step explanation:

As the coin is fair, there is an equal chance the coin lands on heads or tails, therefore:

Probability of heads = 0.5 (or [tex]\frac{1}{2}[/tex])

Probability of tails = 0.5 (or [tex]\frac{1}{2}[/tex])

For Bob to win, the coin must land on heads twice, To work this out, we multiply the two events together.

Probability of 2 heads = 0.5 (probability of landing heads up) x 0.5 (probability of landing heads up) = 0.25 (or [tex]\frac{1}{4}[/tex])

Answer: 1.67 mph

Step-by-step explanation:

Given

Sam walk one-third of a mile in 12 minutes

There is 60 minutes in an hour i.e. Sam take

[tex]\Rightarrow t=\dfrac{12}{60}\\\\\Rightarrow t=0.2\ hr[/tex]

Average speed is given by

[tex]\Rightarrow v_{avg}=\dfrac{\text{distance}}{\text{time taken}}\\\\\Rightarrow v_{avg}=\dfrac{\frac{1}{3}}{0.2}\\\\\Rightarrow v_{avg}=\dfrac{5}{3}\ \text{or}\ 1.67\ mph[/tex]

The answer is attached above. I hope this helps!

Answer:

Step-by-step explanation:

a.

G.M. between between 15 and 20=√(15×20)

=√(300)

=√(100×3)

=10√3

b.

G.M. between 18 and 30

=√(18×30)

=√(3×3×2×2×3×5)

=3×2√15

=6√15

Answer:

Below in bold.

Step-by-step explanation:

y = 4(x + 2)^2 + 4

As the coefficient of x^2 is positive it will have a minimum value.

The minimum value is the last term  = 4.

Answer:

17) just take the root of 100. the text says its square(d).

10m

And checking it gives 10m * 10m = 100m²

18) you need to learn some square numbers to ace this topic. it isn't that complicated, just multiply natural numbers with themselves

like

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

Now we can see that a) sqrt(55) lies between 7 and 8, and that its value is somewhere in between

7 < a < 8

(ignoring the negative solution to the root oc)

try b, c and d yourself. if you struggle, leave a comment.

I got a problem finding exercises 19 to 21, seriously....

22) well...

a * b = 18ft²

6ft * 3ft seems just right. pure guesswork here, seems to be to easy with these numbers.

but we can also write it as a system of two functions

a * b = 18ft²

a = 2b

and then solve it by substituting a in line one with 2b, since a is 2b this is allowed.

2b * b = 18

2 b² = 18

b² = 9

b = 3

(we ignore -3 as a solution bc negative length makes no sense)

plugging that b into line two of the system gives

a = 2 * 3

a = 6

27) rationale can we written as a ratio (a fration)

it almost sounds too simply

rationals are either the root of square numbers, bc they can be solved cleanly, or they got a repeating pattern after the point.

b and c apply to these rules, a and d not

30) lol, I just figured out where the missing exercises are hidden XD

31) just add up the three rectangles (easy part) with the two triangles top and bottom each triangle is just 12m * 16m / 2 (bc it's a triangle, not a rectangle). since you got two triangles you just multiply by two (it's like ignoring the decision. also, the two triangles together would indeed make just a n9ce rectangle).

if you really need the values, leave a comment, but that will not help you in any test.

you can also post your solutions and I'll check them.

32) area of the circle times two

plus area of a rectangle wrapped around the cylinder.

circle are is pi*r² -> pi * (28 in)²

(remember to double for two circles)

rectangle is the circumference of the circle (pi * 28in) times the height of the cylinder

like in 31), feel free two post your results or ask for values if you really struggle to grasp the pattern here.

hope you have a great day and that you understand some more of the topic. you can ace it :)

Step-by-step explanation:

Hey there!

Let "x°" be the first angle.

According to the question; the another angle is (2x+15)°. {since the condition of the question is fifteen more twice of the other angle }

Also, we know that complementary angles sum is 90°.

Then;

x° + 2x° + 15° = 90°

3x ° = 90°-15°

3x = 75°

x = 75°/3

Therefore, the angles are 25° and 65°.

Hope it helps!

Answer:

The value of x = 20

Step-by-step explanation:

Given:

∠BOC = 3x - 15

∠COD = 2x + 5

Find:

The value of x

Computation:

⇔ ∠BOC + ∠COD = 90

⇔ 3x - 15 + 2x + 5 = 90

⇔ 5x - 10 = 900

⇔ 5x = 90 + 10

⇔ 5x = 100

⇔ x = 100 / 5

⇔ x = 20

The value of x = 20

Answer:

The two numbers are 157 and 13

Step-by-step explanation:

Let x and y be the two numbers

x+y = 170

x-y =144

Add the two equations together

x+y = 170

x-y =144

-------------------

2x= 314

Divide by 2

2x/2 = 314/2

x =157

Now find y

x+y = 170

157+y = 170

y = 170-157

y =13

Answer:

V = 1372cm3

Step-by-step explanation:

See the image above

Answer:

5.12

Step-by-step explanation:

5.021+.099 is the problem

we can ignore the 5 for now. .021+.099= .120

now we bring back the 5

5.120=5.12

Answer:

Option (1)

Step-by-step explanation:

To calculate the volume of the given pyramid,

Formula to be used,

Volume = [tex]\frac{1}{3}(\text{Area of the triangular base)}(\text{Height})[/tex]

Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                             = [tex]\frac{1}{2}(9)(15)[/tex]

                                             = 67.5 cm²

Now volume of the pyramid = [tex]\frac{1}{3}(67.5)(32)[/tex]

                                               = 720 cm³

Therefore, Option (1) will be the correct option.

Answer:

12x - 73

Step-by-step explanation:

DFE + CFD = 12x + 7

DFE + 90 = 12x + 7

DFE = 12x + 7 - 90

DFE = 12x - 83

therefore

DFE = AFB ( vertically opposite angles are equal)

AFB = 12x - 83

Answer:

I believe it is 60 degrees

Step-by-step explanation:

90 degrees plus 30 is 120 then plus x will be 180 so 180 - 120 is 60

Answer:

12 & 7

Step-by-step explanation:

12 + 7=19

12 - 7=5

Answer:

12 & 7

Step-by-step explanation:

*)Solve the system of equations:

x+y=19

x-y =5

=> 2y=14 =>y = 7

y=7 => x = 12

Answer:

No, because factorials are product of all positive integers less than or equal to a given positive integer.

Answer:

no but i can create a code from this:

Step-by-step explanation:

java:

int steps = 4;

for (int i = 0; i < steps; i++) { }

this part is psuedocode:

print(i) blocks

there will be 36 squared.

each new step adds one more than the last step added.

f(1) = 1

f(2) = 3 = 1+2

f(3) = 6 = 1+2+3

f(4) = 10 = 1+2+3+4

the pattern is now clear hopefully

f(8) = 1+2+3+4+5+6+7+8 = 1+8 + 2+7 + 3+6 + 4+5 = 9+9+9+9 = 9*4 = 36

Answer:

9 cards

Step-by-step explanation:

Mike will have to give Ali 9 cards

Mike 25 -9 = 16

Ali 55 + 9 = 64

you can see that Ali 4 times as many cards as mike

64 : 16

4 : 1

sure what is it about maybe I can help you if it's possible

ok I don't know go to school or sum

Answer:

D - T-H is negative

Step-by-step explanation:

So lets go through what we know:

M is on the left side of 0, so M is negative.

A is also one the left side of 0, so A is negative.

T is on the right side of 0, so T is postive

H is also on the right side of 0, so H is postive

Lets go through each answer and see if it is accurate or not:

The sum of M and H is postive.

With what we know, M is negative and H is postive.

Looking at the graph, we can see that M is farther to the left than H is to the right.

So this means that M is a larger negative than H is postive, meaning when we add them together, the answer will be negative, not postive.

Next we have the answer to A divided by H is negative

We know A is negative, and M also negative

Remember, a negative divided or multiplied by a negative is postive.

This is not what our answer states, as it says it should be negative.

So next off, we have the product of H and A is postive.

Product means multipication.

A is negative and H is postive

Since it is multipication, and we know a negative and postive make another negative, this would make it incorrect

The answer states it must be postive, but this is negative.

Finally we have the answer as T-H is negative.

We see that T is postive, and H is postive.

T is less than H is, so when you subtract H from T, you would get a negative.

So D is the answer

Hope this helps!

Answer:

232x + 45 = 1,515

Step-by-step explanation:

45 is a one time fee for book several tickets at one. 232 is the cost of each ticket and 232 get x because we dont know how many family members Joan bought tickets for.

Answer:

1. - A; 2. - A.

Step-by-step explanation:

'1' = '1' = 8 / √2 = 4√2.