solve for n n + 1 equals 4(n - 8)​

Answer:

0.75

Step-by-step explanation:

A decrease of 25% becomes 75% of the original number. 75% as a decimal is 0.75.

Answer:

0.75

Step-by-step explanation:

100(0.75)=75

Answer:

C. -2

Step-by-step explanation:

The slopes of parallel lines are always the same.

Answer: 3

Step-by-step explanation:

The index is the number that multiplies with the radicand. The radicand in this equation is 6 and 3 is the index.

Answer:

Doman is the x intercpet range

Step-by-step explanation:

all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.

The Answer Is:

All Real Numbers

Answer:

It is 91

Step-by-step explanation:

:)

Answer:

C: 91

Step-by-step explanation:

Unit test Edge 2021

Answer:

The independent variable is the number of miles you walked.

Unfortunately, I do not know the dependant variable.

Step-by-step explanation:

so do it urself. :)

Answer:

-5n + 27

Step-by-step explanation:

The difference is -5.

The first term is 22.

Use the formula for nth term.

an = dn + (a - d)

a is the first term.

d is the difference.

an = - 5n + (22 - ( - 5 ))

an = -5n + (22 + 5)

an = -5n + 27

Answer:

27 - 5n.

Step-by-step explanation:

This is arithmetic with common difference = 17 - 22 = -5 (also 12 - 17 = -1).

nth term an = a1 + d(n - 1)

= 22 - 5(n - 1)

Which simplifies to  27 - 5n

Answer:

140

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 6 , thus

[tex]a_{24}[/tex] = 2 + (23 × 6) = 2 + 138 = 140

Answer:  a₂₄ = 140

Step-by-step explanation:

The formula for an arithmetic sequence is: [tex]a_n=a_1+d(n-1)[/tex]  where

Given: a₁ = 2, d = 6, n = 24

a₂₄ = 2 + 6(24 - 1)

     = 2 + 6(23)

     = 2  + 138

    = 140

The 24th term is 140.

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

Work Shown:

Break the figure up as shown by the dashed lines. Think of cutting along those lines to form 3 separate figures. The trapezoid on the left has area

A = h*(b1+b2)/2

A = 5*(11+12)/2

A = 57.5

The rectangle in the middle has area

A = L*W

A = 12*15

A = 180

The trapezoid on the right has area

A = h*(b1+b2)/2

A = 10*(12+9)/2

A = 105

Overall, the entire figure has area of 57.5+180+105 = 342.5 square meters

1 can costs £6 and it covers 15 square meters. We need to cover 342.5 square meters

342.5/15 = 22.8333333333333 approximately

Round up to the nearest whole number to get 23

We need 23 cans to be able to paint 342.5 square meters or more

Note that 22 cans won't be enough because 22*15 = 330 is short of 342.5

While 23 cans is more than enough since 23*15 = 345. It's better to have leftovers than come up short.

Since each can costs £6 and we need 23 of them, the total cost would then come to 6*23 = 138 pounds

Answer:

The figure consists of two trapeziums and a rectangle

Area of figure = Area of rectangle + Area of the two trapeziums

Area of rectangle = length × width

= 12m × 15m = 180m²

Area of first trapezium = 1/2(a+b) × height

= 1/2(12+11)×5

= 57.5m²

Area of second trapezium = 1/2(a+b) × height

= 1/2(9+12)×10

= 105m²

Area of figure = 180 + 57.5 + 105 = 342.5m²

If 15m² = 6£

342.5 = 342.5/15 ×6

= £ 137

Hope this helps.

Answer:

-30

Step-by-step explanation:

3 3/5 × -8 1/3

Turn to improper fractions.

18/5 × -25/3

Multiply.

-450/15

Divide.

= -30

Answer:

The answer is option D

32 + (4c − 6c) + (2 + 6c)

c = 5

32 + ( 4(5) - 6(5)) + (2 + 6 (5)

= 32 + (20 - 30) + ( 2 + 30)

= 32 - 10 + 32

= 54

Hope this helps

Answer:

D. 54

Step-by-step explanation:

32 + (4c - 6c) + (2 + 6c)

Put c as 5 and evaluate.

32 + 4(5) - 6(5) + 2 + 6(5)

Multiply the terms.

32 + 20 - 30 + 2 + 30

Add or subtract the terms.

32 - 10 + 2 + 30

22 + 32

= 54

Answer:

$10,400

Step-by-step explanation:

If 2,000 dollars are being invested at the beginning of each year and gets a 4% interest at the end that means 2,000*104%=$2,080

It also continues on for 5 years so 2,080*5=$10,400

Answer:

10833

Step-by-step explanation

Use the formula

Sₙ=a₁ [tex]\frac{1-r^n}{1-r}[/tex]

a₁= 2000

r= 1+4%=1.04

n=5

plug back into equation

S₅=2000[tex]\frac{1-1.04^5}{1-1.04}[/tex] =10832.6

Rounded to the nearest dollar $10,833

sorry for this being so long I'm a rush but ask questions pls.

Step-by-step explanation:

The question specifies ranges of possible lengths and masses. The length can vary from about 19.5 millimeters to almost 20.5 millimeters. The mass can vary from about 99.5g to almost 100.5g.

For more about my use of the terms about and almost, and the reason for the “.5” values, see the Notes at the end.

Now:

A smaller object with a given mass will have a higher density;

A larger object with a given mass will have a lower density;

An object of given size with a smaller mass will have a lower density;

An object of given size with a larger mass will have a higher density.

This could be summed up by saying that density varies inversely with size but varies directly with mass.

So the lowest density occurs with the largest length and the smallest mass, while the highest density occurs with the smallest length and the largest mass.

Within the bounds of error, the largest possible length is about 20.4999…mm while the smallest possible mass is 99.5g. So doing the density calculation with these numbers will give the lowest possible density.

Similarly, doing the density with a length of 19.5mm and mass of 100.4999…g will give the largest possible density within the error bounds.

Notes

The first issue is with the term “accurate to the given millimeter”. My interpretation follows the guidelines in Illustrative Mathematics (under Solution) and appears, from the text in that page, to be consistent with the Common Core (which is the way we teach math to kids these days in the U.S.)

In the context of measuring the diameter of a circle, it says:

Juan finds that the circle is 5 cm or 50 mm in diameter. Since the tape measure is accurate to the nearest millimeter, this means that the actual diameter is between 4.95 centimeters and 5.05 centimeters.

There’s a deeper issue associated with rounding. The most common rule is that 0.5 rounds up. Thus the quote above is not quite correct; the actual diameter is between 4.95 centimeters and just less than 5.05, but not 5.05 exactly which would round to 5.1 centimeters.

The example in the linked page probably doesn’t deal with this subtle issue because it’s for kids who have not yet been taught about things like repeating decimals or the conceptual complexity of perfect rounding. I dealt with it by specifying “…” in the values above.

Answer:

2

Step-by-step explanation:

First calculate the mean. This is done by adding the numbers and dividing by the count:

sum = 6+0+4+3+2 = 15

count = 5

mean = 15/5 = 3

Now create a table with the "squared deviation to the mean":

6: (6 - 3)² = 9

0: (0 - 3)² = 9

4: (4 - 3)² = 1

3: (3 - 3)² = 0

2: (2 - 3)² = 1

And sum these:

9+9+1+0+1 = 20

Divide by the count to find σ²:

σ² = 20/5 = 4

Hence σ = √4 = 2

Answer:

Step-by-step explanation:

V=0.5*b*l*h

V=0.5*10*28*12

V=10*14*12

V=10*168

V=1680 m^3 or C

Answer:

C. 1680 m³

Step-by-step explanation:

Find the base of the triangular prism:

[tex]\frac{1}{2}*28m*12m=\\14m*12m=\\168m^2[/tex]

Now we can multiply the base by the height, 10.

[tex]168m^2*10m=\\1680m^3[/tex]

Our answer is C. 1680 m³

[tex]\pi \times d[/tex]

22/7×21.6

=67.88

=70

Answer:

x=-9

Step-by-step explanation:

3 x=-27

x = -9

Answer:

-9

Step-by-step explanation:

x3 = -27 OR 3x = -27

3x/3 = -27/3

x = - 9

Answer:

6.75 cm

225.66 cm²

Step-by-step explanation:

V= 1/3lwh= 180

V= 1/3*10*8*h= 80h/3 cm³

Surface area of the pyramid:

A=lw+l√(w/2)²+h²+w√(l/2)²+h²

Answer:

Step-by-step explanation:

Volume of pyramid = 1

3 × base area × height

180 = 1

3 × 10 × 8 × height

180 = 80

3 × height

Height = 6.75 cm

part two

Let the slant height from V to PQ be l1 cm,

the slant height from V to QR be l2 cm.

Using Pythagoras’ Theorem,

l1 = square root(6.75^2 + 4^2) = 7.846 (to 4 s.f.)

l2 =square root(6.75^2 + 5^2)= 8.400 (to 4 s.f.)

Total surface area of pyramid

Area of all triangular faces + area of square base

2 (1/2*10*7.846+1/2*8*8.400)+10*8

2(39.23 + 33.6) + 80

145.66 + 80

226 cm2 (to 3 s.f.)

Answer:

36 meters and 24 meters.

Step-by-step explanation:

[tex]60 \times 3/5\\180/5=36[/tex]

[tex]60 \times (1-3/5)\\60 \times 2/5\\120/5=24[/tex]

Answer:

37.5 m, 22.5 m

Step-by-step explanation:

Let length of first part be x

Length of second part be 3/5x

x + 3/5x = 60

5x + 3x = 60

8x = 300

x = 300/8 = 37.50 m

Second part is 3/5x

3/5 x 37.50 = 22.50 m

Answer:

3

Step-by-step explanation:

A whole number is not a decimal or a fraction (unless the fraction can be simplified to a whole number). A whole number is also not negative. That would make it an integer.

This question is incomplete because it lacks the appropriate diagram.

Please find attached this answer the appropriate diagram.

Kindly note that: The diagram was obtained from or referenced from Planes and Elevation (F) Version 3 January 2016.

Answer:

72 centimeter cubes

Step-by-step explanation:

Looking at the attached diagram, we are given 3 views of the cuboid

a) The plan view: The is the view of the cuboid from the top or a very high position

b) Front Elevation view: This is the view of the cuboid from the front

c) Side elevation view: This is the view of the cuboid from the side.

In the referenced and attached diagram,

The plan view shows us the top of the cuboid with a length of 4 and breadth of 6

The front elevation view shows us the front of the cuboid with a length of 3 and breadth of 4

The side elevation view shows us the side of the cuboid with a length is 3 and breadth of 6

We are told to find the number of centimeter cubes were used to make the cuboid. This means we are to find the volume of the cuboid.

Volume of a cuboid = Length × Width × Height

Combining the 3 views together,

The Length of the cuboid = 4

Width of the cuboid = 6

Height of the cuboid = 3

Volume of the cuboid = 4 × 6 × 3

= 72

Therefore, the number of centimeter cubes that were used to make the cuboid is 72.

Answer:

a. √2⁴+3² = √16 + 9

= √25 = 5

The answer is a

b. √10²-2^6 = √100-64

= √36 = 6

The answer is b

Hope this helps.

Answer:

A.) should be C

B.) should be D

90% sure

Answer:

First option is the correct choice.

Step-by-step explanation:

[tex]SA=\pi r^2+\pi r l\\\\=\pi \left(3\right)^2+\pi \left(3\right)\left(8\right)\\\\=33\pi \:ft^2[/tex]

Best Regards!

Answer:

1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The amplitude of [tex]A\sin(\omega t+\phi)[/tex] is the absolute value of [tex]A[/tex]. So first you need to condense the given function into one sine expression.

Recall that

[tex]A\sin(\omega t+\phi)=A\sin(\omega t)\cos\phi+A\cos(\omega t)\sin\phi[/tex]

so you need to choose [tex]\phi[/tex] and [tex]\omega[/tex] accordingly.

If we line up the terms of the given function with the expanded one above, we should have

[tex]2\sin(4\pi t)+5\cos(4\pi t)\implies\begin{cases}A\cos\phi=2\\A\sin\phi=5\\\omega=4\pi\end{cases}[/tex]

Now, using the Pythagorean identity,

[tex](A\sin\phi)^2+(A\cos\phi)^2=2^2+5^2\implies A^2=29\implies A=\pm\sqrt{29}[/tex]

so the amplitude is √29.

Just for completeness, we also get

[tex]\tan\phi=\dfrac{\sin\phi}{\cos\phi}=\dfrac52\implies\phi=\tan^{-1}\left(\dfrac52\right)+n\pi[/tex]

where [tex]n[/tex] is any integer.

Answer:

118

Step-by-step explanation:

E = 41

Colin is 10 years older than Emily.     C = E + 10 = 41 + 10 = 51, C = 51

Dan is 15 years younger than Emily.   D = E - 15 = 41 - 15 = 26, D = 26

E + C + D = 41 + 51 + 26 =  118

Answer:

C. 2(3x + 2y) and 6x + 4y

Step-by-step explanation:

Hope I helped!!

(Y/4) +3 = 7

Subtract 3 from both sides:

Y/4 = 4

Multiply both sides by 4

Y = 16

Answer:

Option D

Step-by-step explanation:

=> (y/4)+3 = 7

Subtracting 3 from both sides

=> y/4 = 7-3

=> y/4 = 4

Multiplying 4 to both sides

=> y = 4*4

=> y = 16

Answer:

D = √[(x2 - x1)² + (y2 - y1)²]

Step-by-step explanation:

Given a right-angled triangle, with sides: Hypotenuse D, and opposites (x2 - x1) and (y2 - y1).

Then by Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the opposite side.

That is,

D² = (x2 - x1)² + (y2 - y1)²

Now, taking square roots of both side, we have the formula for the distance or length D.

D = √[(x2 - x1)² + (y2 - y1)²]

Answer:

0.96176920308

Step-by-step explanation:

i think so