a rectangular poster is made up of an image surrounded by a border l, as shown below. the area of the image is 1347cm².what is the area of the border?​

Hence, we know that area of rectangle is equals to the product of length and breadth.

Therefore, the area of rectangle is,

[tex] = 4 \times( {x}^{2} +3x + 2 ) \\ = 4({x}^{2} + 3x + 2) \\ = \green{ \boxed{4 {x}^{2} + 12x + 8}}[/tex]

Therefore, the answer is 4x² + 12x + 8.

Answer:

Pint value is 1 and cup value is 1 pt = 2 c. Sorry if I am wrong!

Step-by-step explanation:

Given:

10 workers produce 30 complex elements in 10 days.

To find:

The number of days, in which 5  workers produce 24 elements.

Solution:

According to the question, let as assume

[tex]n_1=10[/tex]

[tex]w_1=30[/tex]

[tex]d_1=10[/tex]

[tex]n_2=x[/tex]

[tex]w_2=24[/tex]

[tex]d_2=5[/tex]

where, n is number of workers, w is work done, and d is number of days.

We have, a formula,

[tex]\dfrac{n_1\times d_1}{w_1}=\dfrac{n_2\times d_2}{w_1}[/tex]

Substituting the values in the above formula, we get

[tex]\dfrac{10\times 10}{30}=\dfrac{x\times 5}{24}[/tex]

[tex]\dfrac{10}{3}=\dfrac{5x}{24}[/tex]

Isolate variable x.

[tex]\dfrac{10}{3}\times \dfrac{24}{5}=\dfrac{5x}{24}\times \dfrac{24}{5}[/tex]

[tex]\dfrac{240}{15}=x[/tex]

[tex]16=x[/tex]

Therefore, the required number of days is 16.

Answer:

The probability is P(500 < X  < 700 ) =  0.60044

Step-by-step explanation:

From the question we are told that

    The mean is  [tex]\mu = 544[/tex]

     The standard deviation is  [tex]\sigma = 103[/tex]

Generally the percentage of applicant that scored between 500 and 700 is mathematically represented as

      [tex]P(500 < X < 700 ) = P(\frac{500 - 544}{103} < \frac{X - \mu }{\sigma } < \frac{700 - 544}{103} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

      [tex]P(500 < X < 700 ) = P(-0.4272 < Z < 1.5146 )[/tex]

=>   [tex]P(500 < X < 700 ) = P( Z< 1.5146 ) - P ( Z < -0.4272 )[/tex]

Generally from the z-table, the area under the normal curve to the left corresponding to    1.5146 and     -0.4272  is

  P(  Z<  1.5146 )  =  0.93506

   P ( Z <   -0.4272 ) = 0.33462

So

       P(500 < X  < 700 ) =  0.93506 -  0.33462

=>    P(500 < X  < 700 ) =  0.60044

Answer:

$64.8

Step-by-step explanation:

hihihihihihihihihihihihihi

Answer:

1. isosceles 2. Scalene 3. Equilateral 4. Equilateral

Step-by-step explanation:

Answer:

(3,2)

Step-by-step explanation:

The solution to the system of equations is (3, 2). So, the answer is option C. (3,2).

We are given the system of equations:

2x + 3y = 12

y = x-1

We can use the substitution method by substituting the expression for y in the first equation with the value of y from the second equation:

2x + 3(x-1) = 12

Simplifying the equation, we get:

2x + 3x - 3 = 12

5x = 15

x = 3

Now, we can substitute the value of x in either of the two equations to find the value of y:

y = x-1

y = 3-1

y = 2

Therefore, the solution to the system of equations is (3, 2). So, the answer is option C. (3,2).

To know more about substitution method follow

https://brainly.com/question/22340165

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Answer:

Step-by-step explanation:

6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5

y - 6 = 17 ⇒ y = 23

z - 3 = 4z ⇒ z = - 1

18 - 3(0) = 9w ⇒ w = 2

========================

I'm going to solve for you some another question you asked, I did not see the right answer...  :)

There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔  | 3x + 2| > 5

(1). If (3x + 2) is positive then

3x + 2 > 5 ⇒ x > 3

(2). If (3x + 2) is negative then

- (3x + 2) > 5

- 3x - 2 > 5

- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]

The final answer is x < - 2.3 or x > 1

Answers to the entire test:

Step-by-step explanation:

1. C. a<b

2.A. x >_0

3. A. The product between 3 and a number is greater than 9

4. B. The difference of 16 and the product of 5 and a number is no less than 1

5.B. 6(x-4)<_20

The area of the sector in circle R is: C. 144Pi units squared

Area of sector = (1/2) × r²θ.

Given the parameters:

Plug in the values

Area of sector = (1/2) × (18²)(8π/9)

Area of sector = 144π units²

Learn more about the area of a sector on:

https://brainly.com/question/22972014

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Answer:

one expression you could use could be, 10.25A +8.50K=total

Step-by-step explanation:

you would take 1.75 and add it to the 8.50 for the adults and 6.75 for the kids

Answer:

$8.50a+$6.75k+$1.75a+$1.75k

Step-by-step explanation:

Answer:

5 years

Step-by-step explanation:

Alr. The equation is:

x= how long the rose bush took to grow

8 1/4=2+1 1/4x

6 1/4=1 1/4x

5=x

Answers:

1. 750

2. 750 + 5*20 = 850

Answer:

The correct answer is B. The rate of 7% compounded quarterly is better.

Step-by-step explanation:

In the case of investment at 7% compounded quarterly, the final result after 4 years of investment arises from the following calculation:

X = 7000 x (1 + 0.7 / 3) 4x3

X = 9,232.16

Therefore, after 4 years of investment, the amount in the account would be $ 9,232.16.

In turn, in the case of the investment at 6.85% compounded monthly, the final result after the same investment period arises from the following calculation:

X = 7000 x (1 + 0.685 / 12) 4x12

X = 9,199.33

Thus, in this case, the amount in the account after 4 years of investment would be $ 9,199.33.

Step-by-step explanation:

HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!

Answer:

21

Step-by-step explanation:

Answer:

Sven would type 2280 words every 40 minutes.

Step-by-step explanation:

Multiply 57 by 40 and that should get you 2280.

Now, if it was truly an hour, you would multiply 57 by 60. The answer should be 3420.

Answer:

The probability is    [tex]P( \= X > 268 ) =0.35376[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 266[/tex]

    The standard deviation is  [tex]\sigma = 16[/tex]

Generally the standard error of mean is mathematically represented as

        [tex]\sigma_{\= x} = \frac{\sigma}{\sqrt{n} }[/tex]

=>     [tex]\sigma_{\= x} = \frac{16}{\sqrt{9} }[/tex]

=>     [tex]\sigma_{\= x} = 5.33[/tex]

Generally the probability that the average pregnancy length for nine randomly chosen women exceeds 268 days is mathematically represented as

        [tex]P( \= X > 268 ) = P (\frac{ \= x - \mu }{ \sigma_{\= x}} > \frac{268 - 266}{5.33 } )[/tex]

[tex]\frac{\= X -\mu}{\sigma_{\= x} }  =  Z (The  \ standardized \  value\  of  \ \=  X )[/tex]  

          [tex]P( \= X > 268 ) = P (Z > 0.3752 )[/tex]

From the z table  the area under the normal curve to the right  corresponding to  0.3752  is

P (Z  >  0.3752)   =    0.35376

So  

       [tex]P( \= X > 268 ) =0.35376[/tex]

Answer:  Slope intercept form:  y = mx + b

A. y = 4/7 x + 27/7

Screenshot attached.

Step-by-step explanation:  Slope is m. In this example, it is 4/7.  The y-intercept is b. in this example it is 2 in the question and 27/7 in the answer choice.

First clue why A is the answer: the slope must be the same if the lines are parallel

Answer:

a) 0.00070

b) 0.00050

c) 0.00022

d) 0.00016

e) 0.00005

Step-by-step explanation:

Standard error for proportion formula

S.E = √P(1 - P)/n

Where P = proportion

n = number of samples

Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of a) 500,000

S.E = √P(1 - P)/n

= √0.46 × 0.54/500000

= √ 4.968 ×10^-7

= 0.0007048404

≈ 0.00070

b) 1,000,000

√P(1 - P)/n

= √0.46 × 0.54/1000000

= 0.0004983974

≈ 0.00050

c) 5,000,000

√P(1 - P)/n

= √0.46 × 0.54/5000000

= √ 4.968 ×10^-8

= 0.0002228901

≈ 0.00022

d) 10,000,000

√P(1 - P)/n

= √0.46 × 0.54/10000000

= √2.484 ×10^-8

= 0.0001576071

≈ 0.00016

e) 100,000,000

√P(1 - P)/n

= √0.46 × 0.54/100000000

= √2.484 × 10^-9

= 0.0000498397

= 0.00005

Answer:

10

Step-by-step explanation:

I'm guessing you meant this, but tell me if I'm wrong and I'll fix it

6 / (3/5)

6 * 5/3

30/3

=10

Hope it helped!

Answer:

thanks

Step-by-step explanation:

Step-by-step explanation:

[tex]\begin{array}{c|c c|c} 11 & 165 & & 15 \\ \cline {2-3} & 11 & & \\ & & 55 & \\ \cline {2-3}& & 55 & \\ & & 0& \end {array}[/tex]

Answer:

5259544316

Step-by-step explanation:

Given that:

Length of string = 7

Either begins with 2 consonants or ends with 2 vowels :

Either or :

A U B = A + B - (AnB)

Number of vowels in alphabet = 5

Number of consonants = 21

2 consonants at beginning :

First 2 consonants, then the rest could be any:

21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816

3 vowels at the end :

First 4 letters could be any alphabet ; last 3 should be vowels.:

26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000

2 consonants at beginning and 3 vowels at the end :

21 * 21 * 26 *26 *5* 5 * 5 = 37264500

Hence,

2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end

(5239686816 + 57122000) - 37264500

= 5259544316

Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316

Answer:

(6x + 11)(x – 5)

Step-by-step explanation:

Trust me!

Answer:

[tex]Probability = \frac{45}{98}[/tex]

Step-by-step explanation:

Given

Represent travel guide with T and Fictions with F

[tex]T = 5[/tex]

[tex]F = 9[/tex]

Required

Determine the probability that one of both was selected

This implies that (1 travel guide and 1 fiction) or (1 fiction and 1 travel guide)

The probability is is calculated as thus:

[tex]Probability = P(T\ n\ F)\ or\ P(F\ n\ T)[/tex]

In probability, the above formula can be translated to

[tex]Probability = P(T) *P(F)\ +\ P(F) *P(T)[/tex]

[tex]Probability = \frac{n(T)}{Total} *\frac{n(F)}{Total}\ +\ \frac{n(F)}{Total} *\frac{n(T)}{Total}[/tex]

[tex]Probability = \frac{5}{5 + 9} *\frac{9}{5 + 9} +\frac{9}{5 + 9} *\frac{5}{5 + 9}[/tex]

[tex]Probability = \frac{5}{14} *\frac{9}{14} +\frac{9}{14} *\frac{5}{14}[/tex]

[tex]Probability = \frac{45}{196} +\frac{45}{196}[/tex]

[tex]Probability = \frac{90}{196}[/tex]

[tex]Probability = \frac{45}{98}[/tex]

Answer:

y=1/4x+3

Step-by-step explanation:

Answer:

y = 4x + 4

Step-by-step explanation:

given :

y = 8 [tex]\sqrt{x}[/tex] , (1,8)

The equation for the tangent to the curve at the given point

y' = 8. ( [tex]( \frac{1}{2\sqrt{x} } ) = \frac{4}{\sqrt{x} }[/tex]

next calculate the slope of the tangent (m) = y' at x = 1 = 4

hence the equation of the tangent is

 y - y' = m( x - x1 )

 y - 8 = 4 ( x - 1 )

 y = 4x + 4

attached below is the sketch of the curve and the tangent together