(b) Factorize: x2 - 49

Answer: Current will reduce by half

Step-by-step explanation:

The formula for Current is;

Current = Voltage/ Resistance

Say for instance that Voltage is 5 volts and Resistance is 2 ohms. Current will be;

= 5/2

= 2.5 amps

If Voltage is decreased by one half to 2.5 while resistance is held constant, current becomes;

= 2.5/2

= 1.25 amps

Current went from 2.5 to 1.25 amps.

This shows that current will reduce by half if the voltage is decreased by one half while the  resistance is held constant.

Answer:

r<4

Step-by-step explanation:

we add 4 to both sides

I wish this is helpful.

Answer:

The ship is approximately 21.6 miles away from its starting point

Step-by-step explanation:

∵ The North and the East are perpendicular

→ That means the distance between the starting position and

   the ending position shows a hypotenuse of a right triangle which

   its legs are the distances due to North and East

∵ The ship travels north for 18 miles

∴ leg1 = 18 miles

∵ The ship travels east for 12 miles

∴ leg2 = 12 miles

→ By using Pythagoras Theorem

∵ (hypotenuse)² = (leg1)² + (leg2)²

∴ (hypotenuse)² = (18)² + (12)²

∴ (hypotenuse)² = 324 + 144

∴ (hypotenuse)² = 468

→ Take √  for both sides

∴ hypotenuse = 21.63330765

→ Approximate it to the nearest tenth

∴ hypotenuse = 21.6 miles

∵ The hypotenuse of the right triangle represents the distance from

   the starting position to the ending position

∴ The ship is approximately 21.6 miles away from its starting point

Answer:

114 degrees

Step-by-step explanation:

The angles are supplementary so...

180 - 66

114

Answer: the slope is

m = -1/2

Step-by-step explanation:

Answer: The answer is 13,841,287,201

Step-by-step explanation:

You start with the equation that's in the parenthese which is  7^6, and the answer is 117,649. Then you're left with 117,649^2, so you solve for that which is 13,841,287,201. I'm not sure if this is what you're looking for but I hope this can help you.

Answer:

The equation that relates the amount of yellow paint, y, and the amount of blue paint,b, in liters [tex]5y-3b=0[/tex].

Step-by-step explanation:

Given that The Green Goober mixes 333 liters of yellow paint with 555 liters of blue paint to make 888 liters of special green paint for his costume.

So,

The amount of yellow paint: the amount of blue paint [tex]= 333: 555[/tex]

If the amount of yellow paint is y and the amount of blue paint is b, then, from the above relation

[tex]y: b = 333: 555\Rightarrow \frac y b = \frac {333}{555} \\\\\Rightarrow \frac y b = \frac {3}{5} \\\\\Rightarrow 5y=3b \\\\\Rightarrow 5y-3b=0.[/tex]

Hence, the equation that relates the amount of yellow paint, y, and the amount of blue paint,b, in liters [tex]5y-3b=0[/tex].

Answer:

5y-3b=0

Step-by-step explanation:

khan

An ode is a type of lyrical stanza. It is an elaborately structured poem praising or glorifying an event or individual, describing nature intellectually as nicely as emotionally. A basic ode is structured in three major parts: the strophe, the antistrophe, and the epode.

Answer:

An ode is a poetic form.

Step-by-step explanation:

A type of lyrical stanza. A classic ode is structured in three major parts: the strophe, the antistrophe, and the epode.

There are 2300 ways by which we can select 3 students out of 25 students.                        

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.

Here total number of Students = 25

         Number of selection = 3

Now,

Total number of ways by which we can select 3 out of 25  = ²⁵C₃

                                                                                               = 25!/3!.22!

                                                         = 25 X 24 X 23 X 22! / 3X2X1 X 22!

                                                         = 13800 / 6

                                                         = 2300

Thus, there are 2300 ways by which we can select 3 students out of 25 students.                

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Answer:

1. x= -24

2. x= -16

3. x= 12

4. x= 12

5. x= -16

6. x= -24

Answer:

First one is x= -24

second one is x= -16

third one is x= 12

fourth one is x= 12

fifth one is x= -16

sixth one is x= -24

Step-by-step explanation:

hope this helps

Answer:

1. The first factor is 1.267

2. 9 Places

3. i) The decimal point was moved to the left

ii) This indicates the value of the power of 10 in the second factor

4. The second factor is 10⁹

5. The population of India in scientific notation is 1.267 × 10⁹

Step-by-step explanation:

Answer:

≈39.27 units

Step-by-step explanation:

To find the area of a semi circle, you use the formula for finding the area of a circle, which is [tex]\pi[/tex][tex]r^{2}[/tex], and then you divide that by 2 since it is half of a circle.

In this case, [tex]\pi[/tex][tex](5)^{2}[/tex] ≈ 78.54

[tex]\frac{78.54}{2}[/tex] = 39.27

Step-by-step explanation:

4x² - 12x + 17 = 0

i is an imaginary number and it equals √-1, and you usually put it when the number under the root is negative.

So √-5 = √5i and √-4 = 2i

Answer:

2 and two fifths

Step-by-step explanation:

jehfjfjfnjdjfjfnfjifnnfjjf

Answer:

2 and 2/5

Step-by-step explanation:

Answer:

66 HR

Step-by-step explanation:

We can set up an equivalent proportion and cross-multiply like this:

22/7=x/21

Cross multiply.

7x=462

Divide by 7 on both sides.

x=66

HTH :)

Answer:

6.681818182

Step-by-step explanation:

First we find the unit rate by dividing 7 by 22 to get 0.3181818 now we know how many he scores per the each game,  now we multiply that by 21 to get  6.681818182

Answer:

(0,4)

Step-by-step explanation:

when you plug in 0 for x and 4 for y, you get

6(0) + 8(4)=32

when plugging in each set of ordered pairs, this set gives the lowest answer

Answer:

The messenger should use addition and Subtraction instead of multiplication and division

Step-by-step explanation:

It is given that,

A biker can ride a bicycle 18 miles in 3 hours. the messenger estimates that it will take 7 hours to bike 22 miles.

He has done two steps :

step 1: 22-18=4

step 2: 3+4=7

The steps done by the biker are wrong. The correct step should be :

In 1 hour, he should cover (18/3) miles i.e. 6 miles

In 7 hours, he will cover (6×7) miles i.e. 42 miles

It means he should use addition and Subtraction instead of multiplication and division. Hence, the correct option is (c).

Answer:

The remainder is -7; option D

Step-by-step explanation:

To find the remainder, simply substitute 2 into the polynomial

We have;

-3(2)^2 + 7(2) -9

= -12 + 14-9

= 14-21 = -7

Answer:

1310.4

Step-by-step explanation:

26 x 12= 312 x 4.2= 1310.4

The volume of the unused role is 821.34π cm³

Volume is defined as the space occupied within the boundaries of any three-dimensional solid.

Given that is a figure of unused roll of paper towels, we need to find the volume of the unused role,

The volume of a cylinder with radius r and height h is V = π·radius²·height

To find the same we will subtract the volume of the inner cylinder from the outer,

Volume = 6²π(26) - (2.1)²π(26)

= 26(36π - 4.41π)

= 26(31.59π)

= 821.34π cm³

Hence, the volume of the unused role is 821.34π cm³

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Answer:

Translation (3 right, 5 up)

Step-by-step explanation:

Answer:

(-3,-6)

Step-by-step explanation:

We know that rectangles are four-sided shapes made up of four parallel lines. Opposite sides are congruent. We can do a quick graph, keeping those criteria in mind, and quickly figure out that the missing point is (-3,-6).

Hope this helped!

Answer:

23%

Step-by-step explanation:

I believe you subtract all of the taxes from the Gross Income first.

This will give you with $429.02

$429.02/560= About 76.6 percent.

100 percent-76.6 percent = Around 23.3 percent.

Round that down to 23 percent.

Hope this helps!

Answer:

The constant of proportionality for the group of boxes is: 25

Step-by-step explanation:

Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.

Let l be the length and v be the volume

Then according to given statement

V∝l

Removing the proportionality symbol introduces a constant in the equation

[tex]V = kl[/tex]

Putting V = 325 and l = 13

[tex]325 =k(13)\\k = \frac{325}{13}\\k = 25[/tex]

Hence,

The constant of proportionality for the group of boxes is: 25

-9x + 1= -x + 17

- 9x + x= 17 - 1

-8x = 16

- x = 16÷8

x = -2

Answer:

-9x + 1= -x + 17

- 9x + x= 17 - 1

-8x = 16

- x = 16÷8

x = -2

Answer:

a huge part of this question is missing

sorry no one can help you

Answer:

prove that lines AK and AL divide BC into three equal parts. 1.30. Point O is the center of the circle inscribed in △ABC. On sides AC and BC points M and K, ...

Step-by-step explanation: