Please help! What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5? ^ means squared A.) Perimeter = 46 cm, area = 131.25 cm^2 B.) Perimeter = 126 cm, area = 972 cm^2 C.) Perimeter = 46 cm, area = 972 cm^2 D.) Perimeter = 126 cm, area = 131.25 cm^2

Answer:

58.43%

Step-by-step explanation:

The first thing we must do is calculate the probability of when both are equal, that is, take out two cookies of the same type, since we can calculate that they are not equal by means of their complement:

The probability that they are equal is:

P (plain, plain) = (12/20) (11/19)

= 132/380

P (chocolate, chocolate) = (5/20) (4/19)

 = 20/380

P (currant, currant) = (3/20) (2/19)

= 6/380

The final probability would be the sum of these:

P (equal) = 132/380 + 20/380 + 6/380

P (equal) = 158/380

P (equal) = 0.4157

The probability that they are different is the opposite of the probability that they are equal, that is, the complement. Therefore, the probability that they are different is:

P (different) = 1 - 0.4157

P (different) = 0.5843

In other words, the probability would be 58.43%

Answer:

A

Step-by-step explanation:

Answer:

X=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

We can find the length of the hypotenuse of the 45 45 90 triangle using the other triangle (which is 30 60 90)

Since the hypotenuse is 8[tex]\sqrt{2}[/tex], the short leg (hypotenuse of other triangle) will be 4[tex]\sqrt{2}[/tex]

This means the value of x must be 4

Answer:

Option (3)

Step-by-step explanation:

Explicit formula of the sequence is,

[tex]a_n=3^n+4[/tex]

From this explicit formula,

First term of the sequence will be,

[tex]a_1=(3^1)+4[/tex]

[tex]a_1=7[/tex]

Second term of the sequence,

[tex]a_2=(3^2)+4[/tex]

[tex]a_2[/tex] = 13

3rd term of the sequence,

[tex]a_{3}=(3^3)+4[/tex]

   = 31

Sequence formed,

7, 13, 31 ..........

From the given options,

Recursive formula,

[tex]a_n=3a_{n-1}-8[/tex]

[tex]a_2=3(a_1)-8[/tex]

[tex]a_2=3(7)-8[/tex]

[tex]a_2=21-8[/tex] = 13

[tex]a_3=3a_2-8[/tex]

[tex]a_3=3a_2-8[/tex]

[tex]a_3=3(13)-8[/tex]

    = 39 - 8

    = 31

Sequence formed from this recursive formula will be,

7, 13, 31........

Therefore, Option (3) will be the answer.

Answer:

C

Step-by-step explanation:

i took the test

Answer:

The answer is; the snail moved 1 inch every 20 minutes.

Step-by-step explanation:

120 divided by 6 is 20

Answer:

A) 1 Over 20 of an inch per minute

Step-by-step explanation:

I took this test and got 100

19

Step-by-step explanation:

The first term of the arithmetic sequence is  4x+3.

An ordered group of numbers with a shared difference between each successive term is known as an arithmetic sequence.

The formula to find the nth term of an arithmetic sequence is,

aₙ= a+(n-1)d

Where a is the 1st term and d is the common difference.

Let the first term of sequence is a and the common difference is d.

Given that,

The 5th term of the arithmetic sequence = 16x+11,

⇒ a+4d= 16x+11      (1)

And the 9th term of the arithmetic sequence = 28x+19,

⇒ a+8d= 28x+19    (2)

To find the first term of the sequence, multiply equation (1) with 2 and subtract equation (2) from it.

(2a+8d)-(a+8d) = (32x+22) - (28x+19)

a = 4x+3

The first term of the arithmetic sequence is  4x+3.

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I belive,

The experimental probability could be more, the same or less than the theoretical probability of rolling a 1 (which is 1/6).  

The larger your sample (i. e., as you go beyond 60 tosses), the closer the two different probabilities are likely to be.  (Think:  Law of Large Numbers).

Answer:

Step-by-step explanation:

Jsiehsjsndj im here to get you a brainliest

Answer:

the independent variable is 32 (price of the car in dollars) as it stands alone without a variable and 1.95 is the dependent (cost per mile)

Answer:

C

Step-by-step explanation:

The y-intercept is where the line passes through the y-axis

On this graph, we can see this is at the point (0, 2)

Answer:

(0,2)

Step-by-step explanation:

The y intercept is where the graph crosses the y axis ( where x =0)

The graph crosses at y=2

(0,2)

Answer:

Step-by-step explanation:

85% of 2500 m

= 85/100 × 2500 = 2125 m

hope this helps

plz mark it as brainliest!!!!!!

Answer:

2125

Step-by-step explanation:

85% times 2500

Answer:

5 1/4 mph

Step-by-step explanation:

21 divided by 4= 5 1/4

Answer:

Average Speed = 5.25 mph

Step-by-step explanation:

Given:

Distance = 21 miles

Time = 4 hours

Required:

Average Speed

Formula:

Average Speed = Total Distance Covered / Total Time Taken

Solution:

Average Speed = 21/4

Average Speed = 5.25 mph

Answer:

[tex]\boxed{\df \ \ \ y = 2 \ \ \ }[/tex]

Step-by-step explanation:

We need to solve the following

[tex]\dfrac{7^8}{7^y}=7^6[/tex]

that we can write

[tex]\dfrac{7^8}{7^y}=7^8*7^{-y}=7^{8-y}=7^6\\<=> 8-y = 6\\<=> y=8-6=2[/tex]

so the answer is 2

Answer:

[tex]y=2[/tex]

Step-by-step explanation:

[tex]7^8 \div 7^y = 7^6[/tex]

Apply the law of exponents.

[tex]7^{8-y}= 7^6[/tex]

Cancel the same bases.

[tex]8-y=6[/tex]

Subtract 8 on both sides.

[tex]-y=6-8[/tex]

[tex]-y=-2[/tex]

Cancel negative signs.

[tex]y=2[/tex]

Answer:

-5.2

Step-by-step explanation:

15.6/-3= - 15.6/3= -5.2

Answer : The fifth term in the sequence is -2.

Step-by-step explanation :

As we are given that the expression to calculate the [tex]n^{th}[/tex] term.

The expression is as follows:

[tex]a_n=2(-1)^n[/tex]

where,

n is the number of term

Given:

n = 5

Now putting the value of n in the above expression, we get:

[tex]a_n=2(-1)^n[/tex]

[tex]a_5=2(-1)^5[/tex]

[tex]a_5=2\times (-1)[/tex]

[tex]a_5=-2[/tex]

Therefore, the fifth term in the sequence is -2.

Answer:

B=264 b5/34 a576 5739 7985

Answer:

6p - 2

Step-by-step explanation:

9p - (3p + 2) = 9p - 3p - 2 = 6p - 2

The expression that  is equivalent to 9 p minus 3 p + 2 is 6p - 2

From the question, one have 9p - 3p + 2.

So, one has to combine the like terms, which means adding or subtracting the coefficients of the same variable. For the terms with 'p', one  have 9p - 3p.

Combining the coefficients, one get 9 - 3 = 6.

So, 9p - 3p is simplifies to 6p.

So, one have 6p + 2.

The expression is said to be now simplified to 6p + 2.

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Answer:

x= 4

[tex]perpendicular (p) = \sqrt{x} + 1[/tex]

[tex]base(b) = 2 \sqrt{x} [/tex]

[tex]hypotenuse(h) = 2 \sqrt{x} + 1[/tex]

According to the Pythagoras Theoram,

p²+b²= h²

[tex] {( \sqrt{x } + 1) }^{2} + {(2 \sqrt{x} )}^{2} = {(2 \sqrt{x} + 1)}^{2} [/tex]

Answer:

4

Step-by-step explanation:

2√x, √x + 1, 2√x + 1 sides of triangle

√x= y

2y, y+1, 2y+1

(2y)²+(y+1)²= (2y+1)²

4y²+y²+2y+1= 4y²+4y+1

y²-2y=0

y=0 (discarded as side can't be zero) or y= 2

so √x=2 ⇒ x= 4

Answer:

3x√x²y, –12x√x²y, x√yx², 2√x²y.

Step-by-step explanation:

Data obtained from the question include:

3x√x²y, –12x√x²y, –2x√xy², x√yx²,

–x√x²y², 2√x²y

Like radical in this case talks about those havin the same entity in the square root.

With a careful consideration of the data obtained from the question, the like radicals are:

3x√x²y, –12x√x²y, x√yx², 2√x²y.

Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are [tex]3x\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex],  [tex]-12\sqrt{x^2y}[/tex] and [tex]2\sqrt{x^2y}[/tex].

Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are:

A) [tex]3x\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

B) [tex]-12\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

C) [tex]-2x\sqrt{xy^2}[/tex]

This is not the like radical with the entity [tex]xy^2[/tex] inside the square root.

D)  [tex]-12\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

E) [tex]-x\sqrt{x^2y^2}[/tex]

This is not the like radical with the entity [tex]x^2y^2[/tex] inside the square root.

F) [tex]2\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

So, the correct options are A), B), D), and F).

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Answer:

nope!

Step-by-step explanation:

mean= average, total of numbers/ amount of numbers

median- if all the numbers were in a line what would be in the middle

mode-most reoccuring number- remember it cos it rhymes with most :)

hope this helps :)

can u pls give brainliest? :)

Answer:

No

Step-by-step explanation:

when you have a list of numbers:

The mean is all of the numbers added up and then divided by the number of numbers.

The median is "the middle number" So line them up in numerical order and find the middle number.

The Mode is the biggest number subtracted from the smallest number.

Answer:

The correct option is;

(B) 30

Step-by-step explanation:

The equations are;

x² - 2·m·x - 5·n = 0.............(1)

Solution = p, q

x² - 2·p·x - 5·q = 0..............(2)

Solution = m, n

For equation (1), we have;

x² - 2·m·x - 5·n = 0 = (x - p)·(x - q)

x² - 2·m·x - 5·n = x² -x·p - x·q + q·p = x² -x·(p + q) + q·p

2·m = p + q..............(3)

5·n = -q·p..............(4)

Given the similarity between equation (1) and (2), we have;

2·p = m + n..............(5)

5·q = -m·n..............(6)

Therefore;

m = (p + q)/2

n = -q·p/5

Substituting the value of m and n in equation (5) and (6), we have;

2·p = (p + q)/2  - q·p/5.............(7)

5·q = (p + q)/2·q·p/5.............(8)

Making q the subject of equation (7) gives;

[tex]q = \dfrac{-7.5 \cdot p}{p -2.5}[/tex]

Substituting the value of q above in equation (8) gives;

[tex]-\dfrac{75\cdot p}{2\cdot p-5}=-\dfrac{3\cdot p^{4}-30\cdot p^{3}}{4\cdot p^{2}-20\cdot p+25}[/tex]

By cross multiplying and collecting like terms we have;

6·p⁵ -75·p⁴-150·p³+1500·p²-1875·p = 0

Which gives

(p+0)(p-1.91)(p-2.5)(p+5)(p-13.1)

p = 1.91 or 2.5 or -5 or 13.1

q = 24.27 or undef or -5 or -9.27

m = 13.09 or undef or -5 or 1.95

n = -9.27 or undef or -5 or -24.29

Therefore, p + q + m + n = 1.91 + 24.27 + 13.09 + (-9.27) = 30

The correct option is (B) 30

Answer:

The person in the at-risk population is much more likely to actually have the disease

Step-by-step explanation:

The probability of a randomly selected doctor having the disease is 1 in 1,000 (P(I)=0.0001).

The probability that a doctor is infected with SARS, given that they tested positive is:

[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.0001*0.99}{0.0001*0.99+(1-0.0001)*0.01}\\P(I|+)=9.9*10^{-3}[/tex]

The probability of a randomly selected person from the at-risk population having the disease is 20 in 100 (P(I)=0.20).

The probability that a person in the at-risk population is infected with SARS, given that they tested positive is:

[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.2*0.99}{0.2*0.99+(1-0.2)*0.01}\\P(I|+)=0.962[/tex]

Therefore, the person in the at-risk population is much more likely to actually have the disease

Answer:

x = -2

y = 4

Step-by-step explanation:

6x-5y=-32

-7x+8y=46

Solve for x in the first equation.

6x = -32 + 5y

x = (-32 + 5y) /6

x = 5/6y - 16/3

Put x as 5/6y - 16/3 in the second equation and solve for y.

-7(5/6y - 16/3) +8y = 46

-35/6y+112/3 +8y = 46

13/6y + 112/3 = 46

13/6y = 46 - 112/3

13/6y = 26/3

y = 26/3 × 6/13

y = 4

Put y as 4 in the first equation and solve for x.

6x-5(4)=-32

6x-20 = -32

6x = -32+20

6x = -12

x = -12/6

x = -2

Answer:

3018

Step-by-step explanation:

an = a1 + (n-1)d

a1 is the first term in the sequence = 24

n is the term number which is 500

d is the common difference

Take the second term and subtract the first term to find the common difference

d = 30-24 = 6

a500 = 24 + (500-1) *6

          =24+ 499*6

          =24 + 2994

          =3018

Answer:

3018 is the correct answer.

The answer is step 2. hope it helps.

Answer:

step 2

Step-by-step explanation:

Answer:

The pilot above at 1000m above ground and pilot below 742.23 metres above ground

Step-by-step explanation:

Imagine everything as triangles. Mark where the boy stands and the 2 jets are in the air

Answer:

Step-by-step explanation:

Assume that the two prisms have bases of equal area.

Then the volume of the rectangular prism is V = (base area)(height).

The volume of the triangular prism is V = (1/3)(base area)(height)

We could compare the two volumes by creating the ratio inequality

  (1/3) (base area)(t-height)

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

      (base area)(r-height)

The triangular prism will have the greater volume for (1/3)((t-height) > r-height.

Answer:

D

Step-by-step explanation:

We can substitute y = 2x + 1 in the second equation

2x + 1 = -7x + 8

Add 7x to both sides

9x + 1 = 8

Subtact 1 from both sides

9x = 7

x = 7/9

Substituing x in the first equation

y = 14/9 + 1

x rounds to 0.8

y rounds to 2.5