Solve the equation. \dfrac34 =m+\dfrac14 4 3 ​ =m+ 4 1 ​ start fraction, 3, divided by, 4, end fraction, equals, m, plus, start fraction, 1, divided by, 4, end fraction m=m=m, equals

Answer:

43

Step-by-step explanation:

The first increase from 9 to 16 is 7

The second increase from 16 to 24 is 8

The third from 24 to 33 is 9

Following the pattern the next increase must be by 10. 33+10=43

Answer:

[tex](i+2)^4[/tex]

Step-by-step explanation:

assuming the equation is [tex](\sqrt{2+i})^8[/tex] this simplifies to [tex](i+2)^4[/tex] where i =[tex]\sqrt{-1}[/tex]

Step-by-step explanation:

[tex]( \sqrt{2 + i} ) {}^{8} = (2 + i) {}^{ \frac{1}{2} \times8 } [/tex]

[tex](2 + i) {}^{4} [/tex]

Split this up

[tex](2 + i) {}^{2} \times (2 + i) {}^{2} [/tex]

Use the Perfect Square Trinomial

[tex](a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

[tex](2 { }^{2} + 2(2)i + {i}^{2} )(2 {}^{2} + 2(2)i + {i}^{2} [/tex]

[tex] {i}^{2} = - 1[/tex]

so

[tex](3 + 4i)(3 + 4i)[/tex]

[tex]9 + 24i - 16[/tex]

[tex] - 7 + 24i[/tex]

Answer:

Hope the picture will help you.................

Answer:

from my side it's blurry

Margin of error = 0.8226401

Confidence interval = (9.17736,10.82264)

We have given data for one week recorded for 6 plants.

With a sample standard deviation of 1 inch and a sample mean of 10 inches.

For this sample, it is given that,

Sample size = n = 6

Sample SD = s = 1

Sample mean = x = 10

At a 0.10 significance level, the critical point is with t-distribution (n-1)df=5 df,

t*  =2.015048

Margin of error = E=2.015048*s/ √n = 0.8226401

Confidence interval

= (9.17736,10.82264)

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Answer:

Answer :

Given  : If a sum of money amounts to Rs 2200 in 5 years

Let sum of money =  x

And as given : The interest is 3838 of the principal . So we get

x ( 3838 ) = 2200 - x

3x  =  17600 - 8x

11x  =  17600

x   =  1600

So, Sum of money  =  Rs . 1600

Then interest =  2200 -  1600 =  Rs . 600

Let Rate of interest  = r  %

And we know Simple interest  = P × r × t100P × r × t100 , So we get

⇒1600 × r × 5100 =  600⇒16× r × 5100 =  6⇒80r  =  600⇒r = 60080 = 152 =  712%⇒1600 × r × 5100 =  600⇒16× r × 5100 =  6⇒80r  =  600⇒r = 60080 = 152 =  712%

So

Step-by-step explanation:

Carter can line the books up on his bookshelf in 24 different ways.

The equation that can be used to determine the number of bean bags in the instuctor's box is b = 17 x 4.

The number of bean bags in the instructor's box is 68.

Multplication is a mathematcial operation that can be used to determine the product of two or more numbers. The sign used to represent multiplication is ×.

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Answer:

1/6

Step-by-step explanation:

The sum of all writing utensils are 3+4+5 = 12,

Therefore the probability he will select a mechanical pencil is 3/12 or 1/4.

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For additional info,

Probability of selecting a blue pen and black pen respectively is 4/12 or 1/3 and 5/12.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

Not passing through origin (it's cosine)

Period:-

Now

Frequency:-

[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{T}[/tex]

[tex]\\ \rm\dashrightarrow \nu=\dfrac{1}{6}[/tex]

[tex]\\ \rm\dashrightarrow \nu=0.167Hz[/tex]

to find the number of yellow leaves you'll have to multiply number of red leaves she counted by 3.

8×3

=24

Linda counted 24 yellow leaves.

Linda counts 24 yellow leaves in total

The number of red leaves is given as:

Red = 8

The statement 3 times as many yellow leaves as red leaves means that:

Yellow = Red * 3

So, we have:

Yellow = 8 * 3

Evaluate the product

Yellow = 24

Hence, Linda counts 24 yellow leaves in total

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Answer:

22.97

Step-by-step explanation:

17 divided by pi is 5.41

5.41 divided by 2 is 2.075

r^2(pi)

is 2.075 x 2.075 x 3.41 is 22.97

Answer:

6 1/2 Grams

Step-by-step explanation:

Hope this helped!!

The weight of Leo's fish from kilograms to grams is 6500 grams

Kilograms is the "SI unit of mass (equivalent to approximately 2.205 lb), first introduced as a unit of mass for the metric system".

According to the question,

Leo catch a total 6.5 kilograms of fish. He wants to convert kilograms into grams.

Formula to convert kilograms into grams 1 kilograms = 1000 grams

In order to find kilograms into grams only if multiply given kilogram into 1000.

6.5 × 1000 = 6500 grams

Hence, the weight of Leo's fish from kilograms into grams is 6500 grams.

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Answer:

5/24

Step-by-step explanation:

Instead of dividing 5/8 by 3/1, you could multiply by the reciprocal to get the same answer.

5/8 · 1/3

Hope that helps!

Answer:

true option is B

Step-by-step explanation:

true option is B

Answer:

first blank:center

second blank: equal to

Step-by-step explanation:

A central angle has its vertex (the point or corner of the angle) at the center of a circle. The arc (curved piece of the circle) that is cut off by the angle (intercepted arc) has the same measure as the angle. see image

Answer:

addition because it's in parentheses and following PEMDAS parentheses comes first so you do addition first.  

I hope you find this helpful :D

Answer:

(7+3)

After that you do (6+8)

Explanation:

Use PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

Step-by-step explanation:

hello :

p(x) = 5(x + 3)2 – 45

the vertex is the point : A(-3 ; -45)

minimum -45

the axis of symmetry  is the line when an equation is : x =  -3

Answer:

The game costs 36$ dollars.

Step-by-step explanation:

2/3 of 36 is 24 :p

The total cost of the game Dante wants to buy is 26 dollars.

A fraction describes some parts of a certain quantity. Fractions are of two types one is a proper fraction and another is an improper fraction. In a proper fraction, the numerator is smaller than the denominator and n improper fraction numerator is greater than the denominator.

Assuming The total cost of the game is x dollars.

Given that 24 dollars is (2/3)rd of the total cost of the game.

So we can write 24 is (2/3)rd of the total cost of the game.

∴ 24 = (2/3)×x.

24 = (2/3)x.

x = 24×(3/2).

x = 12×3.

x = 36 dollars.

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Answer:

560 ft^2

Step-by-step explanation:

You need to find the surface area of the walls

wall 1 10*4 = 140

wall 2 10*4 = 140

wall 3 10*4 = 140

wall 4 10*4 = 140

140 +140 +140 +140= 560

Answer:

180-a-5

180-43-5

180-48

180-48=132

c=132

Answer:

it would be  6 (5 + 7) = 30 + 42 = 72

Step-by-step explanation:

hope this helps if not please let me know

Answer:

True

Step-by-step explanation:

To find the amount of observations all you need to do is just add up the dots. Adding the number of observations in each range should be true

nvm someone answered lol good luck!

Answer:

17

Step-by-step explanation:

the number that has the virible with it u divide that number with the number without the varible so 153/9 = 17 and 9k/9=1 so it is 17 the answer is what you got for the number without the varible

Answer:

B. Obtuse

Step-by-step explanation:

An obtuse angle is defined as one that extends beyond 90 degrees. An acute angle is defined as one that is less than 90 degrees. A right angle is one that is 90 degrees.

Answer:

figure      area     add        units (?)    (?)

Step-by-step explanation:

Might need a little more information

  last one can be   square feet      square yards    square inches   square cm  square meters   etc   etc     It depends on the dimensions of the figure which isn't shown.

Answer:

10^8 represents 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

Because it is to the 8th power, this means it's multiplied by itself 8 times.

Answer: It represents b 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

Answer:

  35 cm

Step-by-step explanation:

Each dimension of the picture is increased by twice the width of the margin. If the original picture has dimensions L×W, then the cardboard has dimensions (L+2)×(W+2).

The perimeter formula tells you the perimeter is ...

  P = 2(L +W)

__

The cardboard perimeter will be ...

  P' = 2((L +2) +(W +2)) = 2(L +W +4)

  P' = 2(L +W) +8

  P' = P +8

If the original perimeter is 27 cm, the cardboard perimeter is ...

  P' = 27 +8 = 35 . . . . cm

The perimeter of the cardboard is 35 cm.

Pamela's average annual percentage gain was = 7.7%

The start up capital (P) = $10500

The simple interest (SI) = $3250

Time (T) = 4 years

Rate = ?

But SI = P × T × R /100

Make R the subject of formula,

R = SI × 100/P × T

R = 3250 × 100/ 10500 × 4

R = 325000/ 42000

R = 7.7%

Therefore, Pamela's average annual percentage gain was = 7.7%

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