Evaluate 10x^2y^–2 for x = –1 and y = –2.

Answer:

When you add more to your sample space.

Imagine you have a 6-sided dice and you change it to a 10-sided dice. Your possibilities of getting any number (excluding 7, 8, 9, 10), just went from 16.67% to 10%.

Answer: 10.8

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this.

a^2 + b^2 = c^2

6^2 = 36

9^2 = 81

36 + 81 = 117

square root of 117 is 10.8

Answer:

b

Step-by-step explanation:

given

6x² + 17x + 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × 5 = 30 and sum = 17

The factors are 2 and 15

Use these factors to split the x- term

6x² + 2x + 15x + 5 ( factor the first/second and third/fourth terms )

= 2x(3x + 1) + 5(3x + 1) ← factor out (3x + 1) from each term

= (3x + 1)(2x + 5) → b

The two steps are [tex]3x(2x+5)+1(2x+5)[/tex] and [tex](3x+1)(2x+5)[/tex]. So, options b and d are correct.

Important information:

Splitting the middle term, we get

[tex]6x^2+15x+2x+5[/tex]

After grouping, we get

[tex](6x^2+15x)+(2x+5)[/tex]

Taking out common factors, we get

[tex]3x(2x+5)+1(2x+5)[/tex]

Now, it can be written as:

[tex](3x+1)(2x+5)[/tex]

Therefore, the correct options are b and d.

Find out more about 'Factoring' here:

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Answer:

8 = 4x OR 0 = 4x

Step-by-step explanation:

I not %100 sure or it could be 0 = 4x

EITHERONE

Answer:

As shown in picture, the graph starts from 0 and goes to + infinity.

=> Domain: [0, + infinity)

=> Range: [0, + infinity)

Hope this helps!

:)

Answer:

3 to the power of 8 / 5

Step-by-step explanation:

Answer:

m = [tex]\frac{f+1}{7}[/tex]

Step-by-step explanation:

f = 4m + 3m -1

f = 7m - 1

Adding 1 to both sides

f+1 = 7m

Dividing both sides by 7

m = [tex]\frac{f+1}{7}[/tex]

Answer:

m= (f+3)/(f-4)

Step-by-step explanation:

It is not clear from the question, but I assume it is:

so the solution is:

Answer:

the answer is 96 square feet

you could use

4×4=16

then times how many rectangle you have which is 6

Answer:A point can represent a piece of data or an (x,y) value.

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

There are a total of 380+240+110 people. (730)

0.52 are in stage 3.

0.33 in stage 2.

0.15 in stage 1.

52 people from stage 3 should be in the group.

Answer:

D

Step-by-step explanation:

[tex]f(x)=3x+5 \\\\g(x)=x^2 \\\\(f-g)(x)=(3x+5)-(x^2)=-x^2+3x+5[/tex]

Therefore, the correct answer is choice D. Hope this helps!

Answer:

The initial speed is approximately 104.3 km

Step-by-step explanation:

Let Distance = 240 km

Time = ?

Speed =

Since

Speed = Distance/Time

Distance = Speed × Time

When arrival is late:

240 = S×T

When arrival is on time:

240 = (S+5)×T2

But 40minutes = 2/3 hours

So,

T2 = T - 2/3

240 = (S+5)×(T - 2/3)

240 = ST - 2S/3 + 5T - 10/3

ST - 2S/3 + 5T = 240 + 10/3

S(T - 2/3) + 5T = 730/3

S(T - 2/3) = 730/3 - 5T

S = (730/3 - 5T)/(T - 2/3)

But 240 = ST

S = 240/T

240/T = (730/3 - 5T)/(T - 2/3)

(T - 2/3)/T = (730/3 - 5T)/240

1 - 2/3T = 730/720 - 5T/240

1 + 73/72 = (2/3 + 5/24)T

145/72 = (7/8)T

T = 145/72 × 8/7

= 1160/504

T = 145/63

S = 240/S

= 240×63/145

= 3024/29

≈ 104.3km

Answer:

1) 4

2) exponential decay

3) [tex]y = 4(0.8)^x[/tex]

Step-by-step explanation:

1) The initial value or an exponential function is the y-intercept.

Let us consider a standard exponential function of the form y(x) = a•bˣ , if you put in x = 0 (initial value) we get:

y(0) = a•bˣ = a•b⁰ = a•1 = a , so the y-intercept is a , which is called the initial value.

Therefore the y intercept is 4

2) Since the multiplier is greater than 0 and less than one, it is an exponential decay

3) standard exponential function of the form y(x) = a•bˣ, at (0,4),

4 = a(b)⁰

a = 4

b = multiplier = 0.8

Therefore: [tex]y = 4(0.8)^x[/tex]

Answer:

C. $452115.44

Step-by-step explanation:

To solve this, we will follow the steps below;

first write down the formula for  compound interest

A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt

where A is the ending amount

P represent the principal

r represent the interest rate

n represent the number of compounding a year

t represent the time {in years)

from he question above

p= $318 000

r = 0.071

n = 4  since is quarterly

t= 5

we can now proceed to insert the values into the formula

A= P [ 1 + [tex]\frac{r}{n}[/tex]]^nt

  =318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^4(5)

  = $318 000 [1+[tex]\frac{0.071}{4}[/tex]] ^20

   =$318 000 [1+0.01775] ^20

    = $318 000 [1.01775] ^20

     =$318 000× 1.421747

      ≈$452 115.44

He will have $452 115.44 in the account

Answer:

Jadi jumlah derajat tidak masalah. Mereka masih akan menempuh jarak yang sama.

Karena Anda mengatakan bahwa ekspres Marina berjalan pada 40 km / jam dan kami melakukan 2 jam. 40 * 2 = 80 km. Untuk Dumai Anda melakukan hal yang sama, 48 * 2 = 96.

Marina berjalan sejauh 80 km

Dumai berjarak 96 km

Answer:

First of all since they are dividing subtract the powers of the base from each other .

Make sure the bases are the same.

((6^7-6)(3^3-4))³

((6)(3^-1))³

(6³)(3^-3)

216 × 1/27

= 8

That's option d.

Hope this helps.

Answer:

Ava is 10 years old

Step-by-step explanation:

Sara is 8

Sara=$8 per week for 12 weeks

$8×12 weeks=$96

Ava has $24 more than Sara

x*12=96$+$24

12x=120

x=120/12

x=10

Ava's age is 10

Answer:

27 purple marbles

Step-by-step explanation:

Equations based on the given:

p= 2b +5 and  p+b= 38

Answer: D. (I, II, and III)

Step-by-step explanation:

having a ticket doesn't necessarily mean you will win the lottery, but you must have a ticket to win

not all numbers divisible by 3 are divisible by 6, but all numbers divisible by 6 are also by 3 (since 3 goes into 6 twice)

if a quadrilateral is a square, it is also a rhombus

Answer:

It is D.

Step-by-step explanation:

If you win the lottery, then you will need a ticket. But, if you have a ticket, it doesn't mean that you'll win the lottery.

If a number is divisible by 3. it is not necessarily divisible by 6. For example, 9 ÷ 3 = 3, but 9 ÷ 6 will not equal a whole number.

All squares are rhombuses, but not all rhombuses are squares (they need to have all interior right angles).

Answer:

[tex] \boxed{112} [/tex]

Step-by-step explanation:

[tex]Evaluate - 4v {c}^{2} \: where \: v= - 7 \: and \: c= - 2 : \\ = > - 4v {c}^{2} \\ = > - 4( - 7) {( - 2)}^{2} \\ \\ {( - 2)}^{2} = 4: \\ = > - 4( - 7)4 \\ \\ - 4( - 7) = 28: \\ = > 28 \times 4 = 112[/tex]

Answer:

y = cos x

Step-by-step explanation:

The graph begins at (0, 1) and completes its first period at (2π, 1)  Thus the period of this function is 2π.  The amplitude is 1; this is the value that y takes on when x = 0.

Thus the equation of this graph is y = 1cos x, or y = cos x.

Answer:

The 2 figures have the same shape and the corresponding points are "lined up" so I would say that this is a translation.

Answer:

translation

see below

Step-by-step explanation:

translation because it didn't change direction of the figure

translation is sliding down or up rotation is moving in circle

Answer: [tex](f-g)(x)=6x^2-2x-6[/tex]

Step-by-step explanation:

[tex]f(x)=6x^2-4\\g(x)=2x+2\\(f-g)(x)=[/tex]

Take each function and subtract them.

[tex](f-g)(x)=(6x^2-4)-(2x+2)[/tex]

The trick here is that the negative sign changes all of the signs inside the parentheses.

[tex](f-g)(x)=6x^2-4-2x-2[/tex]

Combine like terms;

[tex](f-g)(x)=6x^2-2x-6[/tex]

Answer:

The number is 16.

Step-by-step explanation:

3x=32+x

2x=32

x=16

A number that when tripled, gives the same result as when 32 is added to it is 16.

In this exercise, you're required to solve for an unknown number, that when tripled has the same value as when 32 is added to it.

Translating the word problem into an algebraic expression, we have;

Tripling the number, we have:

[tex]3x[/tex]    ....equation 1

Adding 32 to the number, we have:

[tex]32 + x[/tex]   ....equation 2

Equating the two equations, we have:

[tex]3x = 32 + x\\\\3x - x = 32\\\\2x = 32\\\\x = \frac{32}{2}[/tex]

x = 16

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Answer:

isoceles right triangle

Step-by-step explanation:

the two lines shows their equal length and its at a 90 degrees angle so its a  isoceles right triangle

Answer:

[tex]m(7m + 13)[/tex]

Step-by-step explanation:

[tex]7m {}^{2} + 13m \\ m(7m + 13)[/tex]