Graph the inequality.

Answer:

Integers are 48, 49, 50

Step-by-step explanation:

x+(x+1)+(x+2) = 147

3x + 3 = 147

3x = 147-3

x = 144 / 3 = 48

Answer:

  a. p(n) = 3n -1

  b. $101.50

  c. 9 years

Step-by-step explanation:

a. The number of rats in any given month is an arithmetic sequence with first term 2 and common difference 3:

  for months 1, 2, 3, 4, the rat population is 2, 5, 8, 11.

The usual formula for the n-th term of an arithmetic sequence applies:

  a[n] = a[1] +d(n -1)

  a[n] = 2 +3(n -1) = 3n -1

In month n, the population of lab rats is ...

  p(n) = 3n -1

__

b. After 10 months, the population will be ...

  p(10) = 3·10 -1 = 29

At $3.50 per rat, the cost will be ...

  29 · $3.50 = $101.50

__

c. We want to find for p(n) = 326.

  326 = 3n -1

  327 = 3n

  109 = n

Month 109 is 108 months (9 years) after month 1. The population will reach 326 rats in 9 years.

problem decoded dude

follow meh

Answer:

(5z +2) (z+1)

Step-by-step explanation:

5z^2 +7z +2

(5z +2) (z+1)

The first term when multiplied out is 5z^2  The last term is 2

The middle term is 2z+5z = 7z so this is the correct factorization

Answer:

see below

Step-by-step explanation:

vanilla = 4 dollars per packet

chocolate = 1 dollar per packet

v = number of vanilla packets

c = number of chocolate packets

v+c = 27  for a total of 27 packets

4v+1c = 45  for 45 dollars spent

Subtract the first equation from the second equation  ( eliminate c to find v)

Since both equations have a coefficient of 1 for c, we can easily subtract to eliminate the c variable

4v + c =45

-v -c = -27

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

3v = 18

Divide by 3

3v/3 = 18/3

v = 6

6 packets of vanilla

Now find c

v+c = 27

6+c = 27

c = 27-6

c = 21

21 packets of chocolate

Answer:

The largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

Step-by-step explanation:

The number 11,600,000 was rounded off to the nearest 100,000.

This means that either 0 or 1 was added to the figure with place value of 100,000.

It would be zero (0) in the case where the number after the 100,000th placed value number is lower than 5 and it would be one (1) in the case where the number after the 100,000th placed value is greater than or equal to 5.

Therefore, the largest possible number of overseas visitors would be 11,640,000.

The smallest possible number of overseas visitors would be 11,550,000.

Answer:

5565

Step-by-step explanation:

5565

intuitively i think its 5565 ;)

Answer:

The answer is 83/4

Step-by-step explanation:

5 1/4+15.5

21/4+15.5

Taking LCM

21/4+15.5*4/1*4

21/4+62/4

83/4

Answer:

[tex]20\frac{3}{4}[/tex]

Step-by-step explanation:

=> [tex]5\frac{1}{4} + 15\frac{1}{2}[/tex]

=> [tex]\frac{21}{4}+ \frac{31}{2}[/tex]

=> [tex]\frac{21+62}{4}[/tex]

=> [tex]\frac{83}{4}[/tex]

=> [tex]20\frac{3}{4}[/tex]

Answer:

Combination would be the best choice here because they are in groups of 10 different.

Answer:

Proved: <3 =<4

Step-by-step explanation:

Alternate angles are equal

<1 = <4

<2 = <3

AC ≅ AR (Given)

Where ≅ means congruent to

When two straight lines intersect, the Vertical angles have opposite sides that are equal.

<CAR ≅ <TAD

<CAT ≅ <RAD

From the above

∆CAR is congruent to ∆TAD

This is a side angle side theorem

∆CAT is congruent to ∆RAD

This is a side angle side theorem

The side angle side theorem shows that two sides and an included angle of one triangle are equal to two sides and an included angle of another triangle.

Since corresponding parts of congruent angles are equal, <3 is congruent to <4.

<3 ≅ <4

Answer: - 6xy/23xy

Step-by-step explanation:

They're both simplified by 11.

Answer:

picture?

Step-by-step explanation:

Answer:

Which graph represents the function r(x) = |x – 2| – 1

- The first graph  

Step-by-step explanation:

Answer:

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Step-by-step explanation:

[tex]7x^{3}[/tex] - [tex]21x^{2}[/tex]

[tex]7x^{2}[/tex] goes into both terms.

Divide both terms by [tex]7x^{2}[/tex].

[tex]7x^{2}[/tex]([tex]x[/tex]-3)

Answer:

A, B, and D

Step-by-step explanation:

E is discarded, since the number 7 does not exist on a die.

F is discarded because there are no letters in a die

C is discarded because the elements are placed backwards

Answer:A

Step-by-step explanation:

Answer:

1 time.

Step-by-step explanation:

1 time.

13 x 1 =13.

13 x 2 = 26.

22<26.

Therefore, 1 time.

Answer:

yes the answer above me is correct

Step-by-step explanation:

only one time

because it has no multipule with 22

Answer:

Option (3)

Step-by-step explanation:

Given expression in this question represents the partial sum of an infinite geometric series in the sigma notation.

[tex]S_{n}=\sum_{n=1}^{\infty}6(2)^{n-1}[/tex]

First term of this series 'a' = 6

Common ratio 'r' = 2

We have to find the sum of 4 terms of this infinite series (n = 4).

Sum of n terms of a geometric series is,

[tex]S_n=\frac{a(r^n-1)}{(r-1)}[/tex]

[tex]S_4=\frac{6(2^4-1)}{(2-1)}[/tex]

    [tex]=\frac{6(16-1)}{(1)}[/tex]

    [tex]=90[/tex]

Therefore, sum of 4 terms of the given series will be 90.

Option (3) will be the answer.

Answer:

Step-by-step explanation:

Given: AC is a bisector of ∠BCD

           DC ⊥ AD

           BC ⊥ AB

To prove : BC ≅ Dc

                       Statements                        Reasons

1). AC bisects ∠BCD                       1). Given

2)∠ACB ≅ ∠ACD                           2). AC is a bisector of ∠BCD

3). DC ⊥ AD                                    3). Given

4). m∠ADC = 90°                            4). DC is perpendicular to AD

5). BC ⊥ AB                                     5). Given

6). m∠ABC = 90°                            6). BC is perpendicular to AB

7). ∠ABC ≅ ∠ADC                          7). Right angles are congruent

8). AC ≅ AC                                    8). Reflexive property

9). ΔABC ≅ ΔADC                          9). AL property of congruence

10). BC ≅ DC                                  10). CPCTC

Answer: The greatest common factor of two numbers can be determined by laying the factors first of the two numbers each and then identifying which is the largest number ..soo it should be B. x4

Step-by-step explanation:

Answer:

Option B: x^4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the expression   [tex]\sqrt{-16} - \sqrt{-3} \sqrt{-3} -\sqrt{-4} \sqrt{-4}+3i-3i^{2} +3i^{3}[/tex]

On simplifying;

First we need to note that i² = -1 and √-1 = i

Substituting the values in the expression, it becomes;

= √16(√-1)-√(-3)(-3)-√(-4)(-4)+3i-3(-1)+3i(i²)

= 4i-√9-√16+3i+3-3i

= 4i-3-4+3

= 4i-4

= 4(i-1)

Answer:

Flour = 5 1/4 Cups

Sugar = 3 Cups

Milk = 1 Cup

Step-by-step explanation:

4 Dozens = Respectively 1 3/4, 1, and 1/3 Cups -->

4(3) = 12 Dozens --> Otherwise A Gross

--> Multiply the formula by 3

7/4 x 3 = 21/4

1 x 3 = 3

1/3 x 3 = 1

Convert to a mixed number

Thus You have your answers

Hope this helps!

Answer:

A

Step-by-step explanation:

Answer:

A should be the correct answer.

Step-by-step explanation:

Hope this helps

Answer: yes

Step-by-step explanation:

Answer: not exactly

Step-by-step explanation:

If you put a negative number in a square root you would end up with an error on the calculator. Thats because you end up with an imaginary number since a negative inside a square root can never be calculated, its simply not possible because in order for a negative number to form, a positive number must always be multiplied to a negative number. So people came up with the concept of i:

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

So something like [tex]\sqrt{-4}[/tex] can be simplified like:

[tex]\sqrt{4}[/tex] * [tex]\sqrt{-1}[/tex]

 2 * i

  2i

But if you're talking about squares like exponent wise, then yes

something like [tex](-2)^{2}[/tex] will always be positive, but you have to be careful with the parentheses.

There is a difference btw [tex](-2)^{2}[/tex] and[tex]-2^{2}[/tex]

[tex](-2)^{2}[/tex] = 4 because you are multiplying (-2)(-2)

but

[tex]-2^{2}[/tex] = -4 because you are multiplying -(2)(2)

Answer:

BC = 38

Step-by-step explanation:

Central Angle = Intercepted Arc

BC = 38

Hey there! :)

Answer:

(5, 1/2)

Step-by-step explanation:

Recall that the midpoint formula is:

[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Plug in the point values to solve for the midpoint:

[tex](\frac{5+5}{2}, \frac{-3+4}{2} )[/tex]

Simplify:

[tex](\frac{10}{2}, \frac{1}{2})[/tex]

(5, 1/2) is the midpoint.

Answer:

Midpoint: B. (5, 1/2)

Step-by-step explanation:

Add the x-coordinates of the endpoints and divide by 2.

Add the y-coordinates of the endpoints and divide by 2.

x: (5 + 5)/2 = 10/2 = 5

y: (4 + (-3))/2 = 1/2

Midpoint (5, 1/2)

Answer:

The area of the now-enlarged shape quadruples. The units are the same; square units.

Step-by-step explanation:

The diagram of the structure isn't provided. But, we can work on a generalized principle for enlargement or reduction.

When a shape is enlarged by a scale factor of 2, it means all of its lengths are increased according to that scale facfor (doubled).

Whatever the shape of the figure was, by enlarging it by a scale factor of 2, all of its dimensions become doubled, and as area is a product of dimensions, two dimensions to be precise, the Area of the object increases by a scale of 4.

For example, if the shape was a rectangle.

A = L × B

When enlarged, new L = 2L, new B = 2B

new Area = new L × new B = 2L × 2B = 4LB = 4 × old area.

A circle

A = πr²

When enlarged, new R = 2r

new Area = π(new R)² = π(2r)² = 4πr² = 4 × old area.

Whatever the original shape was, when it is enlarged by a scale factor of 2, the Area if the new enlarged shape is quadruple of the Area of the old shape.

Hope this Helps!!!

Answer:

13 units

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

Simply plug in your variables

[tex]d = \sqrt{(7-2)^2 + (15-3)^2}[/tex]

[tex]d = \sqrt{5^2 + 12^2}[/tex]

[tex]d = \sqrt{25 + 144}[/tex]

[tex]d = \sqrt{169}[/tex]

d = 13

Answer:

76

Step-by-step explanation:

SA=2lw+2lh+2hw, to find the surface area.

i have rounded the answer up by 1 decimal place

Answer:

[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]

Step-by-step explanation:

Since moving it to one side can't be factored, I'm going to complete the square.

[tex]x^2+5x=8[/tex]

[tex]x^2+5x+6.25=8+6.25[/tex]

[tex](x+2.5)^2=14.25[/tex]

[tex]x+2.5=\sqrt{14.25}[/tex]

[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]

Answer:

Brainliest!

Step-by-step explanation:

took 5 minutes to drain at a rate of 300 gallons per minute

this means there were 1500 gallons that need to be drained

it is now draining at a speed of 500 gallons per minute

1500/500 = 3

so its 3 minutes

Answer: D

Step-by-step explanation:

The woman slice is less than half, greater than a quarter, and just over 1/3. Since 1/3 is about 33%, I would say 35% (D).

Answer:

93%

Step-by-step explanation:

caculator