what is 3 feet, 3 feet, and 5 feet. What the total length?

We can use the FOIL method to solve.

(5x + 3)(7x - 7)

(5x * 7x) + (5x * -7) + (3 * 7x) + (3 * -7)

35x - 35x + 21x - 21

0 + 0

0

Best of Luck!

Answer:

[tex]n = 241[/tex]

Step-by-step explanation:

Given

[tex]5x^2 + nx + 48[/tex]

Required

Determine the highest value of n

From the given equation, 5 is a prime number;

So, the factors of x² is 5x and x or -5x and -x

Since [tex]5x^2 + nx + 48[/tex] has all shades of positive terms, we'll make use of 5x and x

The factorized expression can then be:

[tex](5x + a)(x + b)[/tex]

Open the brackets

[tex]5x^2 + ax + 5bx + ab[/tex]

Equate this to the given expression

[tex]5x^2 + ax + 5bx + ab = 5x^2 + nx + 48[/tex]

[tex]5x^2 + (a + 5b)x + ab = 5x^2 + nx + 48[/tex]

By direct comparison;

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

[tex](a + 5b)x = nx[/tex]

[tex]a + 5b = n[/tex]  ---- (1)

[tex]ab = 48[/tex] --- (2)

From (2) above, the possible values of a and b are:

[tex]a = 1, b = 48[/tex]

[tex]a = 2, b = 24[/tex]

[tex]a = 3, b = 16[/tex]

[tex]a = 4, c = 12[/tex]

[tex]a = 6, b = 8[/tex]

[tex]a = 8, b = 6[/tex]

[tex]a = 12, b = 4[/tex]

[tex]a = 16, b = 3[/tex]

[tex]a = 24, b = 2[/tex]

[tex]a = 48, b = 1[/tex]

Of all these values; the value of a and b that gives the highest value of n is;

[tex]a = 1, b = 48[/tex]

So;

Substitute 1 for a and 48 for b in (2) [tex]a + 5b = n[/tex]

[tex]1 + 5 * 48 = n[/tex]

[tex]1 + 240 = n[/tex]

[tex]241 = n[/tex]

[tex]n = 241[/tex]

Hence, the largest value of n is 241

Answer:

Step-by-step explanation:

The two factors of $5x^2+nx+48$ must be in the form $(5x+A)(x+B)$. $A$ and $B$ must be positive integers to form the largest value of $n$. Therefore, $AB=48$ and $5B+A=n$. To form the largest value of $n$, $B$ must equal $48$. Therefore, $A=1$. \[5B+A=5(48)+1=\boxed{241}\]

Answer:

3 a : YES

3 b : NO

4:

F

D

E

5:

IH

GH

IG

Step-by-step explanation:

3 a) Yes The sum of any two sides is larger than the third side

3 b). NO The sum of 3 ft + 4 ft gives 7ft  which is not larger than 10 ft

4 Recall that larger angles opposite larger sides, and smaller angles oppose smaller sides in the triangle. Therefore, the smallest angle must be that opposite the 1 1/4 side that is angle [tex]\angle F[/tex] then angle d must follow (opposes side of length 2) and lastly angle E (since it opposes the largest side of length 2 1/8

5:

Notice that the third angle which is not given must verify the following:

[tex]\angle I = 180^o-59^o-61^o=60^o[/tex]

Therefore following the same concept as explained in the previous problem the order of these angles from smallest to largest must be:

IH

GH

IG

Answer:

0.898

Step-by-step explanation:

The formula for the Coefficient of determination = ratio of explained variation to Total variation

From the above question, we have the following values

Explained variation = 18.592

Total variation = 20.711

The coefficient of determination = 18.592 : 20.711

= 18.592/20.711

= 0.8976872194

Approximately ≈ 0.898

Therefore, the coefficient of determination is 0.898

Answer:

Step-by-step explanation:

(1,15) and (2,30)

(30-15)/(2-1)= 15/1 = 15

Answer:

a

The null hypothesis is  [tex]H_o : \mu_1 - \mu_2 \le 0[/tex]

The  alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 > 0[/tex]   (Manufacturers claim)

b

 [tex]t = 2.114[/tex]

c

Decision rule

    Reject the null hypothesis

d

There is sufficient evidence to support the claim that the calling range (in feet) of Manufacturers 900-MHz cordless telephone is greater than that of its leading competitor

Step-by-step explanation:

From the question we are told that

   The first sample  size is  [tex]n_1 = 9[/tex]

    The second sample size is [tex]n_2 = 12[/tex]

    The first sample mean is  [tex]\= x_1 = 1260 \ feet[/tex]

     The  second sample mean is  [tex]\= x_2 = 1230[/tex]

     The  first standard deviation is  [tex]\sigma_1 = 24[/tex]

     The second standard deviation is  [tex]\sigma_2 = 37[/tex]

      The significance level is [tex]\alpha = 0.10[/tex]

The null hypothesis is  [tex]H_o : \mu_1 - \mu_2 \le 0[/tex]

The  alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 > 0[/tex]   (Manufacturers claim)

Generally the degree of freedom is mathematically represented as

       [tex]df = n_1 + n_2 -2[/tex]

       [tex]df = 9 + 12 - 2[/tex]

       [tex]df = 19[/tex]

Generally the pooled standard deviation  is mathematically represented as

      [tex]\sigma_p = \sqrt{ \frac{(n_1 - 1)\sigma_1^2 + (n_2-1 )\sigma_2^2 }{ (n_1 - 1 ) + (n_2 - 1 )} }[/tex]

      [tex]\sigma_p = \sqrt{ \frac{(9 - 1)24^2 + (12-1 )37^2 }{ (9 - 1 ) + (12 - 1 )} }[/tex]

      [tex]\sigma_p =32.17[/tex]

Generally the test statistics is mathematically represented as

      [tex]t = \frac{\= x_1 - \= x_2 }{\sqrt{\frac{\sigma_p^2}{n_1 } +\frac{\sigma_p^2}{n_2 } } }[/tex]

    [tex]t = \frac{1260 - 1230 }{\sqrt{\frac{32.17^2}{9 } +\frac{32.17^2}{12 } } }[/tex]

    [tex]t = 2.114[/tex]

Generally the p-value is obtained from the student t distribution table and the value is

    [tex]p-value = P(t > 2.11) = t_{2.11 , 19} = 0.024173[/tex]

Given that the  [tex]p-value < \alpha[/tex]

The null hypothesis is rejected

Hence we can conclude that there is sufficient evidence to support the claim that the calling range (in feet) of Manufacturers 900-MHz cordless telephone is greater than that of its leading competitor

Answer:

There are 10 $1 bills and 7 $5 bills

Step-by-step explanation:

7($5 bills) x 5

=35

7+3 (3 more $1 bills)

=10

10+35

=45

Answer:

$1: 10

$5: 7

Step-by-step explanation:

To find out how many of each bill is in the cash box, create an expression

x = the dollar bills

This makes the $5 bills 5x and the $1 bills x (this can also be 1x)

When it says "The number of $1 bills is 3 more than the number of $5 bills" This means that the number of $1 is x + 3 and the number of $5 is 5x

When you put it together the expression will be x + 3 + 5x = 45

First add x and 5x, making it 6x

Next subtract 3 from each side, which makes the equation 6x = 42

Lastly, divide 6 from each side, this means that x = 7

To find out how many bills there are substitute 7 wherever there is an x

This mean that the number of $1 is 7 + 3 (10), and the number of $5 bills are 5x7 (35), but its just 7 because they are $5 each

Answer:

A union B = { 1, 2, 3, 4, 5, 7 }

The A∪B will be {1,2,3,4,5,7}. Then the number of the terms in A∪B will be 6.

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The union of A and B is given as all the terms in A and B.

Given the following information:

U = {1, 2, 3, 4, 5, 6, 7}

A = {1, 2, 4,5)

B = {1, 3, 5, 7)

Then the A∪B will be given as,

A∪B = 6{1, 2, 3, 4, 5, 7}

Thus, the A∪B will be {1,2,3,4,5,7}.

Then the number of the terms in A∪B will be 6.

More about the Sets link is given below.

https://brainly.com/question/8053622

#SPJ2

Answer:

2L - the third picture

2W - the fifth picture

4 - the first picture

L+2 - the 6th picture

W - the 7th picture

Step-by-step explanation:

2L - the third picture

2W - the fifth picture

4 - the first picture

L+2 - the 6th picture

W - the 7th picture

Answer:

$450

Step-by-step explanation:

First, write out an equation.  We know that Hannah and Zach together earnes $950 and they get payed in equal hourly rates, so for now, in this step of solving the problem, we will be adding the number of hours each person worked together.

Hannah worked 10 hrs and Zach worked 9 hrs, so add 10+9 to get 19 hrs worked in all between the two of them.

Let "x" represent the amount of money made each hour, and form your equation.

Your equation would be: [tex]19x=950[/tex]

Then, just solve for "x".  Divide both sides by 19.

[tex]\frac{19x}{19}=\frac{950}{19}\\x=50[/tex]

The "x=50" means that Hannah and Zach each earn $50 per hour.

Now, the question asks us to find the amount of money that Zach made.  So, multiply 50 by only the number of hours Zach worked, which is 9.

[tex]50*9=450[/tex]

That means that Zach made a total of $450.

Answer:

 100,000 + 10,000+ 2,000+ 700+ 80+ 3    

Answer: (a) 5   (b)1      (c)5    (d)120

Step-by-step explanation:

Formula for combinations: [tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

Formula for permutations: [tex]C(n,r)=\dfrac{n!}{(n-r)!}[/tex]

(a) C(5, 4)  = [tex]\dfrac{5!}{4!(5-4)!}=\dfrac{5\times4!}{4! (1)}=5[/tex]

(b) C(5, 0) = [tex]\dfrac{5!}{0!(5-0)!}=\dfrac{5!}{5! }=1[/tex]

(c) P(5, 1)  = [tex]\dfrac{5!}{(5-1)!}=\dfrac{5\times4!}{4! }=5[/tex]

(d) P(5, 5)  = [tex]\dfrac{5!}{(5-5)!}=\dfrac{5!}{1}=5!= 5\times4\times3\times2\times1=120[/tex]   [as 0!=1]

Hence, the required answer is

(a) 5   (b)1      (c)5    (d)120

Answer:

29,937,952 mark me as brainliest

Step-by-step explanation:

Answer:

x^2 -9

Step-by-step explanation:

(x + 3)(x − 3)

FOIL

first x*x =x^2

outer -3x

inner 3x

last -3*-3 =-9

Add together

x^2 -3x+3x -9

Combine like terms

x^2 -9

Answer:

[tex] \boxed{ \bold { \huge{ \boxed{ \sf{2x - 14}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2(3x + 7) - 4(7 + x)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{6x + 14 - 4(7 + x)}[/tex]

Distribute 4 through the parentheses

⇒[tex] \sf{6x + 14 - 28 - 4x}[/tex]

Collect like terms

⇒[tex] \sf{6x - 4x + 14 - 28}[/tex]

⇒[tex] \sf{2x + 14 - 28}[/tex]

Calculate

⇒[tex] \sf{2x - 14}[/tex]

Hope I helped!

Best regards!!

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{2(3x + 7) - 4(7 + x)}}\\\\{\mathsf{= 2(3x) + 2(7) - 4(7) - 4(x)}}\\\\\mathsf{= 6x + 14 - 28 - 4x}\\\\\mathsf{= (6x - 4x) + (14 - 28)}\\\\\mathsf{= 2x - 14}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{2x - 14}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

We are going to be using the compound interest formula

Given data

principal P= $5000

N is time = 7 years

rate r= 2.5%= 0.025

compounded monthly k= 112

final amount A=?

The expression for the compound interest is

[tex]A= P(1+\frac{r}{K} )^K^N[/tex]

substituting into the expression we have

[tex]A= 5000(1+\frac{0.025}{12} )^1^2^*^7\\\\ A= 5000(1.002 )^1^2^*^7\\\\ A= 5000(1.002 )^8^7\\\\A= 5010*1.18273815853 \\\\ A= 5925.51[/tex]

in seven years he will have $5925.51

A point in geometry is a location.

It has no size, width, length or depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions.

Answer:

I guess this is how to do it....

3×(1/3 of x + 8)=11.

use the 3 to multiply the numbers in the bracket.

3x+24=11.

3x=11-24.

3x=-13.

x= -13/3.

x= -4.33.

Answer:

A. 8.3

B.18.7

C. 10.4

D. 1.04

Step-by-step explanation:

p(x) = 0.03x² + 0.56x + 6.35

A. Determination of p(3)

p(x) = 0.03x² + 0.56x + 6.35

x = 3

p(3) = 0.03(3)² + 0.56(3) + 6.35

p(3) = 0.03(9) + 1.68 + 6.35

p(3) = 0.27 + 1.68 + 6.35

p(3) = 8.3

B. Determination of p(13)

p(x) = 0.03x² + 0.56x + 6.35

x = 13

p(13) = 0.03(13)² + 0.56(13) + 6.35

p(13) = 0.03(169) + 7.28 + 6.35

p(13) = 5.07 + 7.28 + 6.35

p(13) = 18.7

C. Determination of p(13) – p(3)

From A and B above,

p(13) = 18.7

p(3) = 8.3

p(13) – p(3) = 18.7 – 8.3

p(13) – p(3) = 10.4

D. Determination of p(13) – p(3) / 13 – 3

From C above,

p(13) – p(3) = 10.4

p(13) – p(3) / 13 – 3 = 10.4/ 13 – 3

= 10.4 / 10

= 1.04

3s=t+5

s=4

we substitute 4 for s in the equation

3*4=t+5

12=t+5

t=12-5

t=7

Answer:

Brainliest!

Step-by-step explanation:

3s = t+5

s = 4

so...

3 (4) = t+5

12 = t+5

t = 7

Answer:  c. (1/2) bc sin A

Step-by-step explanation:

You can find the area of a triangle using trigonometry if you know the lengths of two sides and the measure of the included angle using the following formula:

[tex]A=\dfrac{1}{2}ab\sin C[/tex]

Answer:

[tex]\Large \boxed{\mathrm{\bold{C} }}[/tex]

Step-by-step explanation:

We can find the area of the triangle when two sides are given and the angle in between the two sides.

[tex]\displaystyle A=\mathrm{\frac{1}{2} bc \cdot sinA}[/tex]

b and c are the sides and A is the angle in between b and c.

Answer:

Easy-peasy.

Step-by-step explanation:

2.45/2.10 = 1.167 (rounded to the nearest tenth of a cent).

That is, 2.45 is 116.7% of 2.10

Since $2.10 is 100% of 2.10,

2.45 is a 16.7 increase.

The solution is 7.1 %

The percentage increase in the price of the coffee is 7.1 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

Let the percentage increase in the price of the coffee be represented as A

Now , the value of A is calculated by

Let the initial price of the coffee be = P

The value of P = $ 2.10

The increased price of the coffee be = Q

The value of Q = $ 2.25

Now , the equation will be

The percentage increase in the price A = ( increased price of the coffee - initial price of the coffee / initial price of the coffee )  x 100

Substituting the values in the equation , we get

The percentage increase in the price A = ( ( 2.25 - 2.10 ) / 2.10  ) x 100

The percentage increase in the price A = ( 0.15 / 2.10 ) x 100

The percentage increase in the price A = 0.0714 x 100

The percentage increase in the price A = 7.14 %

Therefore , the percentage increase is 7.1 %

Hence , the percentage increase in the price is 7.1 %

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ2

Answer:

A rational number is a number that can be written as a fraction.

A. 7.11

=> 711/100

So, the 1st option is a rational number.

B. 4.333....

=> 4  1/3

=> 13/3

So, the 2nd option is a rational number.

C. 8/11

=> This is in its fractional form.

=> So, the 3rd option is a rational number.

D. -2852664798743

=> This can't be written in a fractional form.

=> So, the 4th option is NOT a rational number.

Answer:

  g(x) = (1/6)(x +7)^2 -8

Step-by-step explanation:

The transformation ...

  g(x) = a·f(x -h) +k

represents vertical scaling by a factor of 'a', right shift by h units, and up shift by k units. You want the function g(x) for f(x) = x^2, a = 1/6, h = -7, and k = -8. Those transformations give you ...

  g(x) = (1/6)(x +7)^2 -8

Answer:

b

Step-by-step explanation:

Answer:

James will receive a paycheck in the amount of $522.

Step-by-step explanation:

There are 2 ways you can go at finding the answer. The first way is by adding 32 hours and 33.25 hours together to get a total of 65.25 hours. Then multiply 65.25 hours by $8 to get $522. The second way is multiplying 32 hours by $8 and get $256. Then multiply 33.25 hours by $8 to get $266. Finally add $256 and $266 up and you get $522. I hope this helps you!

Answer:

Step-by-step explanation:

Let the number be x

The statement

The square of a number is 3 less than four times the number is written as

x² = 4x - 3

Solve the quadratic equation

We have

x² - 4x + 3 = 0

Write - 4x as a difference

That's

x² - x - 3x - 3 = 0

Factorize the expression

That's

x( x - 1) - 3( x - 1) = 0

( x - 1)( x - 3) = 0

x - 1 = 0 x - 3 = 0

x = 1 x = 3

The numbers are 1 and 3

Hope this helps you

Answer:

1 and 3

Step-by-step explanation:

Answer:

y^2+8y+16

Step-by-step explanation:

6y^2 +2y +5 - ( 5y^2 -6y-11)

Distribute the minus sign

6y^2 +2y +5 -  5y^2 +6y+11

Combine like terms

y^2+8y+16

Step-by-step explanation:

a) 12:40 = 3: 10

b) 40:12 = 10:3

c)

[tex]1. \: \frac{non \: fiction}{graphic \: novels} [/tex]

[tex]2. \: \frac{science \: fiction}{graphic \: novels} \: \: \: \: \: \: \: 3. \frac{science \: fiction}{non \: fiction} [/tex]

d)

Fiction books is 80.

Answer:

The rate of change for A is 4. For B, it is 2

Step-by-step explanation:

the slope of A is 4 and for B it is 2. Slope is the same as rate of change.