What is the length of the diagonal, d, of the rectangular prism shown below?

Answer:

Step-by-step explanation:

The next term of a Fibonacci sequence is generated by taking the sum of the 2 preceding value of the sequence. Given the the first and third term of a Fibonacci sequence to be x and y

x, _, y...

let the second term be a, fourth term be b and fifth term be c to have the sequence;

x, a, y, b, c...

According to the definition;

x+a = y... 1

a+y = b... 2 and;

y+b = c... 3

From equation 1, a = y-x

Substituting a = y-x into equation 2 to get b we have;

(y-x)+y = b

2y-x = b

b = 2y-x

Substituting b = 2y-x into equation 3 to get 'c'

y +  2y-x = c

3y-x = c

c = 3y-x

The second term of the sequence is y-x

The fourth term of the sequence is 2y-x

The fifth term of the sequence is 3y-x

Answer:

Both brothers will have the same amount of money is their saving accounts after six months.

Step-by-step explanation:

I worked this out by finding out the first 8 months of savings for both brothers:

Patrick:               His brother:

200                     150

225                     185

250                     220

275                     253

300                     290

325                     325

375                     360

400                     395

I then looked across my results to see that at 6 months both brothers had $325.

Hope this helped.

Answer:

(-1/2, -1/8)

Step-by-step explanation:

I graphed it and (-1/2, -1/8) is the only point that lands on the graph.

Answer:

a = 20.79cm ( 2 decimal places)

Step-by-step explanation:

find the length of the identical sides (i name it "x") first using Pythagoras theorem

[tex]14.8^{2}[/tex] = [tex]x^{2} + x^{2}[/tex]

219.04 = [tex]2x^{2}[/tex]

[tex]x^{2}[/tex] = 219.04/2 = 109.52

x = [tex]\sqrt{109.52}[/tex]

now find a,

[tex]a^{2}[/tex] = [tex](\sqrt{109.52}) ^{2}[/tex] + [tex](7.5 + \sqrt{109.52}) ^{2}[/tex]

[tex]a^{2}[/tex] = 109.52 + 322.7477 = 432.2677

a = [tex]\sqrt{432.2677}[/tex] = 20.791048

Answer:

the answer is 21.6%

Step-by-step explanation:

The gradient of a line which perpendicular to C is -3/2

The gradient of a line shows how steep it is. Gradient is also called the slope of a line.

Let's use the fact that the product of the gradients of two perpendicular lines is -1 to determine the gradient of a line perpendicular to line C.

We can determine the gradient of the line perpendicular to C if the gradient of line C is 2/3.

Take the negative reciprocal of the gradient, we have;

-3/2

Since the negative reciprocal of 2/3 is -3/2.

Therefore, the gradient of the line perpendicular to C is -3/2.

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Answer:

[tex]n^{26}[/tex]

Step-by-step explanation:

[tex]n^{3 \times 2} \times n^{5 \times 4}[/tex]

[tex]n^{6} \times n^{20}[/tex]

[tex]n^{6+20}[/tex]

[tex]n^{26}[/tex]

Answer:

N^26

Step-by-step explanation:

N ^3^2 = n^6

N^5^4 = n^20

Multiply. Use laws of exponents

N^6 x n^20 = n^20+6 = n^26

Hope this helps

Answer:

You have the right answer.

Step-by-step explanation:

The image might be blurry but its the best I can post.

That's solving it without the x and y values. Its still the answer you picked.

Hope this helps, have a good day! :)

(Brainliest would be appreciated?)

Answer:

5√xy

Step-by-step explanation:

√25x²y²/√xy= √25x²y²/xy= √25xy= 5√xy

1) 180 square cm

Answer:

2) 41 cubic cm

Step-by-step explanation:

1)

Area of pool = 12 * 15 = 180 square cm

2) Volume of water = 1/3 * Volume of pool

= 1/3 *123

= 41 cubic cm

Answer:

She made [tex]18\frac{1}{15}[/tex] cups of lemonade in total.

Step-by-step explanation:

A fraction contains a numerator(upper value) and denominator(lower value). The total cup of lemonade that Beatrice made is 25 1/3.

A fraction contains a numerator(upper value) and denominator(lower value).

When the numerator is less than the denominator, the fraction is called a proper fraction, otherwise, it is called an improper fraction.

A mixed fraction can be converted as,

2 1/2

= (2×2 + 1)/2

= 5/2

= 2.5

Given that Beatrice made lemonade twice, first, she made 7 2/3 cups of lemonade and in the second turn, she made 10 3/5 more cups of lemonade. Therefore, the total cups of lemonade that Beatrice made is,

Total cups of lemonade = 7 2/3 + 10 3/5

= 23/3 + 53/5

= (23×5 + 53×3)/(3×5)

= (115 + 265)/15

= 380/15

= 25 5/15

= 25 1/3

Hence, the total cup of lemonade that Beatrice made is 25 1/3.

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Answer:

2/3

Step-by-step explanation:

32/48= 16*2/16*3= 2/3

Answer:

150

Step-by-step explanation:

A=bh

A=15×10

A=150

Answer:

150

Step-by-step explanation:

it is just like finding the area of a rectangle! 10*15=150

Answer:

C

Step-by-step explanation:

This is a function because it is a standard quadratic equation, meaning it is a parabola that opens up so it passes the vertical line test.

Answer:

C

Step-by-step explanation:

It is a quadratic equation. This means it is a parabola that opens up so it does pass the vertical line quiz.

Answer:

b

Step-by-step explanation:

Answer:

A worker bee has a mass of \,1\cdot{ 10^{-4}}1⋅10  

−4

1, dot, 10, start superscript, minus, 4, end superscript \text{kg}kgstart text, k, g, end text. There are 4\cdot{ 10^4}4⋅10  

4

4, dot, 10, start superscript, 4, end superscript worker bees living in one hive.

What is the mass of all the worker bees in the hive together?

Write your answer in scientific notation.

Step-by-step explanation:

Answer:

(2,-1)

Step-by-step explanation:

Multiply the original coordinates by 1/3

to do this all you have to do is make the denominator 1 and the numerator should be 1.566666667

Answer:

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

           = 4x + 1 + x² - 5

            = x² + 4x  - 4

Answer:

x^2 +4x -4

Step-by-step explanation:

f(x) = 4x+1

g(x) = x^2-5

(f+g)(x) =  4x+1 + x^2 -5

Combine like terms

            = x^2 +4x +1-5

              =x^2 +4x -4

Answer:

The answer would be 18

Step-by-step explanation:

the formula for area of a triangle is 1/2b*h

so would mulitply 3*3 and get 9/2 which would be 4.5 do that on the otherside and you would get 4.5 again add together and you would get 9

for the square you would calculate the area by multplying b*h to get 9 so 9+9=18

Answer:

£320

Step-by-step explanation:

Using proportion,

If 110% =  £352

100% = ?

= [tex]\frac{100}{110} * 352[/tex]

= £320

If Smiths holiday costs is 352 pounds including 10% flight tax then the tickets were of 320 pounds.

It is a number or ratio expressed as a fraction of 100.It is expressed by % sign.

We have been given that the total cost of Smith's holiday tickets is 352 pounds and it includes 10% flight tax. then the tickets before the flight tax can be calculated as under:

let the cost before flight tax be x.

x+ x*10%=352

x+10x/100=352

110x/100=352

110x=35200

x=35200/110

x=320

Hence if total cost is 352 pounds and it includes 10% flight tax then the cost of ticket before tax is 320 pounds.

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Answer:

75

Step-by-step explanation:

It's D on edg

The number of minutes it take Arnob to catch up to Kathleen is 75 minutes.

Given:

Mile head start=5 mile

Distance along y-axis=2 lines

Hence:

y=1/15x+5

=y=2/15x

So,

1/15x+5=2/15x

1/15x=5

x=75 minutes

The correct option is D.

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Answer:

The measurement of the other parallel side which is the base of the parallelogram is 4.3 m

Step-by-step explanation:

Mathematically, the area of a trapezoid can be calculated using the formula below;

A = 1/2 (a + b) c

where a and b are the parallel sides and c is the height

We have one parallel sides and the height including the value of the area

Let’s say A = 13

a = 2.2m

h = 4.0 m

Plugging these values, we have;

13 = 1/2(a + 2.2) 4

26 = 4(a + 2.2)

26 = 4a + 8.8

26-8.8 = 4a

4a = 17.2

a = 17.2/4

a = 4.3 m

Answer:

h≤18

Step-by-step explanation:

Step  1  :

Solve Basic Inequality : 1.1      

Add  18  to both sides h ≤ 18

Inequality Plot

Inequality plot for

        h  - 18.000  ≤  0

Answer: h≤18

Hope this helps.

Answer:

1. 2

2. -44

3. -4

Step-by-step explanation:

idk how to explain i used a calculator sorry if im wrong

Answer:

=

−

1

2

×

3

2

=

1

×

9

=

9

Step-by-step explanation:

f

(

−

3

)

=

9

Explanation:

f

(

x

)

=

x

2

To find f(-3) replace

x

in the function by

−

3

Therefore:

f

(

−

3

)

=

(

−

3

)

2

=

−

1

2

×

3

2

=

1

×

9

=

9

Answer:

9

Step-by-step explanation:

f(x) = x²

f(-3) =(-3)² = (-3)*(-3) = 9

Answer:

x^2+x+3

Step-by-step explanation:

y=x-7

x-7=x^2+2x-4

x^2+2x-4-x+7

x^2+x+3

Answer: x-7=x^2+2x-4

A P E X

Step-by-step explanation:

but also, if you are wondering how I got to that answer, you substitute y in for the y equation. Since y=x-7 you’ll take that why and put in in the y in (y)=x^2+2x-4.

Answer:

The perpendicular line has a slope of -2/3

Step-by-step explanation:

Perpendicular lines have a slope that multiplies to -1

3/2 * m = -1

Multiply each side by 2/3

3/2 * 2/3 *m = -1 * 2/3

m = -2/3

Answer: -2/3

Step-by-step explanation: The key to understanding this problem is to understand what it means when slopes are perpendicular.

To most students, perpendicular lines are simply

lines that meet  at a 90 degree angle.

However, when dealing with these kinds of problems, it's important

to think about perpendicular lines in terms of their slopes.

As a rule, the slopes of two perpendicular

lines are always negative reciprocals.

So if we know that the slope of one line is 3/2, we can find the slope of the other line by finding the negative reciprocal of 3/2.

So we take the fraction and flip it, then we change the sign.

So the negative reciprocal of 3/2 is -2/3.