3x/x^ 2 - 6x = 1 . Solve for x.

Use the formula c = λν to determine wavelength

299792458=689.46λ

434822.1188=λ

Hope this helped!

Answer:

try different keywords

Step-by-step explanation:

Answer:

[tex]4\frac{1}{2}[/tex]

Step-by-step explanation:

The sequence is [tex]3\frac{1}{2}, 3\frac{5}{6}, 4\frac{2}{12}, .... , 4\frac{5}{6}[/tex].

So, we have to find the missing term.

The sequence can be written in improper fraction as [tex]\frac{7}{2}, \frac{23}{6}, \frac{25}{6}, ... , \frac{29}{6}[/tex].

Therefore, the sequence is in A.P. as the consecutive numbers in the sequence are increasing by [tex]\frac{1}{3}[/tex].

As, [tex](\frac{23}{6} - \frac{7}{2}) = \frac{1}{3} = (\frac{25}{6} - \frac{23}{6})[/tex].

Therefore, the missing number is [tex](\frac{25}{6} + \frac{1}{3}) = \frac{27}{6} = \frac{9}{2} = 4\frac{1}{2}[/tex]. (Answer)

The area under the standard normal curve corresponding to Z > -1.62 is approximately 0.9474.

The question asks for the area under the standard normal curve corresponding to Z > -1.62. Using standard normal distribution tables, we can find this area by finding the area corresponding to Z = -1.62 and subtracting it from 1. Since standard normal distribution tables provide the area to the left of the Z-score, we need to subtract the area from 1 to get the area to the right of the Z-score.

By looking up Z = -1.62 in the standard normal distribution table, we find the area to the left (or below) the Z-score is approximately 0.0526. Therefore, the area to the right (or above) the Z-score is approximately 1 - 0.0526 = 0.9474.

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Answer:

24

Step-by-step explanation:

18-6=12

24=12x2

12-24= -12

Tim would have to do 18 chores (2 chores 9 times or 1 chore 18 times) to be able to buy the video game.

Step-by-step explanation:

Step 1; Tim's parents will give him $3 for every two chores. This equals $1.50 for a single chore. He wants to save up $27 so that he can buy the video games he wants.

Step 2; The number of times he has to do the chores to be able to but the video game is a division between the money he wants to save up by the money he gets for the chores.

Number of 2 chores he needs to do     = Amount of money he wants to save up / money he gets for doing two chores

                                                                  = $27 / $3 = 9 times.

Number of single chores he has to do =Amount of money he wants to save up / money he gets for doing two chores

                                                                   $27 / $1.50 = 18 times

Answer: 44! Hope this helps :D

Step-by-step explanation:

Answer:

Step-by-step explanation:

56 - 12 is 44

Answer:1 and 2:4

Step-by-step explanation: Because  if it's fair you have  a 50 percent chance of heads or tails. and if u write it as a ratio you would get 2_4 you will most likely learn this in 7th grade or 6th

Answer:

4/15 or in decimal form its 0.26

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.26

Answer:

9=1.375 10=1.625 11=3.3125 12=4.45

Answer: 74beats/per minute

Step-by-step explanation:

Divide 518 by 7

Answer:

4

Step-by-step explanation:

6 - 2 = 4

Jake ate 2 less than 6 which is how many Harry ate.

Answer:

4

Step-by-step explanation:

the answer is 4 because 6 minus 2 would be 4 so the answer is four

It's easier to figure it out when both fractions have the same denominator, so let's fix that:

17/40*15/15 is 255/600

8/15*40/40 is 320/600

Notice we are multiplying by a factor of 1 to get equivalent fractions

So 8/15 is bigger

Hope this helped!

8/15

when you divide it it comes out to be 0.533 repeating

but when you divide 17/40 it comes out to be 0.425

so .5 is larger then .4

Answer:

Therefore the volume of the box is 13824 in³

Step-by-step explanation:

Given:

A spherical ball with is packaged in a box that is in the shape of a cube.

Volume of ball = 2304π in³.

Let 'r' be the radius of sphere

To Find:

Volume of Cube = ?

Solution:

Volume of sphere is given by

[tex]\textrm{Volume of sphere}=\dfrac{4}{3}\pi r^{3}[/tex]

Substituting the values we get

[tex]2304\pi=\dfrac{4}{3}\pi r^{3}\\\\\therefore r^{3}=1728\\\\Cube\ Rooting\\\\r=12\ in[/tex]

Now we know that diameter is given by

[tex]diameter=2\times r=2\times 12=24\ in[/tex]

it is given that,

The edge length of the box is equal to the diameter of the ball.

Therefore the length of cube = 24 in

Now the volume of the cube is given by

[tex]\textrm{Volume of cube}=(edge)^{3}[/tex]

substituting the values we get

[tex]\textrm{Volume of cube}=(24)^{3}=13824\ in^{3}[/tex]

Therefore the volume of the box is 13824 in³

there is not any slope for this mathematical equation

To find one-third of the tank's maximum volume, multiply the maximum volume by one-third: 1/3 * 3rs/4 = 3rs/12.

To find one-third of the tank's maximum volume, we can multiply the maximum volume by one-third:

1/3 × 3rs/4 = 3rs/12

So, one-third of the tank's maximum volume is 3rs/12 liters.

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The equation formed by the given problem statement is 0.5*x + 4 = 20, solving this gives x = 32. Hence, there are 32 students in Bryan’s homeroom.

The problem statement says that 'Four more than half of the students in Bryan’s homeroom have tickets to attend the school’s musical' and '20 students have tickets'. If we denote the total number of students in Bryan’s homeroom by x, we can write the statement as an equation: 0.5*x + 4 = 20. Simplifying this equation gives us 0.5*x = 20 - 4 = 16, so x = 16 * 2 = 32. Hence, there are 32 students in Bryan’s homeroom.

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Answer:

b. 8 ft

Step-by-step explanation:

We use the formula for the circumference of a circle to find the length of  each loop.

Circumference of a circle    = 2πr or Dπ

Where:                                π =  pi

                                           r   = radius of the circular loops

                                           D  = Diameter

                                             π  = [tex]\frac{22}{7}[/tex]

                                             D  =  30 inches

Use Circumference of a circle = Dπ

Circumference of a circle         = 30 x (22/7)

                                                   = 30 x 3.142857143

                                                   =  94.28571429 inches

Convert 94.28571429 inches to feet (ft)

                                  12 inches  = 1 ft

                94.28571429 inches  =  94.28571429/12

                                                    =  7.857142858 ft

                                                    ≈  8 ff                  

The numbers are 37 and -18.

Step-by-step explanation:

Step 1:

Let the numbers be x and y. Given their sum = 19 and difference = 55. Form equations out of it.

⇒ x + y = 19 --------- (1)

⇒ x - y = 55 --------- (2)

Subtract eq(2) from eq(1)

⇒ 2x = 74

⇒ x = 37

Step 2:

Find y.

⇒ y = 19 - x = 19 - 37 = -18

Answer:

Yumiko should multiply the other equation by 3.

If she adds the two equations she would be left with the variable 'x'.

Step-by-step explanation:

Given the two equations are as follows:

[tex]$ 2x - 3y = 12 \hspace{5mm} \hdots (1) $[/tex]

[tex]$ 5x + 6y = 18 \hspace{5mm} \hdots (2) $[/tex]

It is given that she multiplies the first equation by 6. Therefore, (1) becomes

[tex]$ 12x - 18y = 72 \hspace{15mm} \hdots (a) $[/tex]

Now, note that the sign of the variable 'y' is negative. So, if we make the co-effecient of 'y' equal in both the cases, add them it would result in the elimination of the variable 'y'.

The co-effecient of y in Equation (2) is 6. To make it 18 like it is in Equation (1), we multiply throughout by 3.

Therefore, Equation (2) becomes:

[tex]$ 15x + 18y = 54 \hspace{5mm} \hdots (b) $[/tex]

Now, we add Equation (a) and Equation (b).

[tex]$ \implies 12x - 18y + 15x + 18y = 72 + 54 $[/tex]

[tex]$ \implies 27x = 126 $[/tex]

Factor: 3

Equation: 27x = 126

Answer:

If you're supposed to be multiplying the first four numbers, the answer is going to be 13.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The roots are the values of x that make y=0.

  0 = -16x^2 +4x = -4x(4x -1)

The values of x that make the factors zero are solutions to this equation:

  x = 0

  x = 1/4 . . . . . makes the factor (4x-1) equal to zero

The roots of the equation are x=0 and x=1/4.

__

Since y is height and x is time, when y=0, the frog is on the ground. The roots, then, are the times when the frog is on the ground.

The smaller root is the time when the frog leapt.

The larger root is the time when the frog landed.

The roots of the equation y = -16x² + 4x are x = 0 and x = 1/4,

The given equation y = -16x² + 4x models the height y of the frog as a function of time x in seconds.

To find the roots of this equation when y = 0, we need to solve:

0 = -16x² + 4x

This is a quadratic equation.

Quadratic equations can be solved by factoring, completing the square, or using the quadratic formula.

In this case, factoring is straightforward:

0 = x(-16x + 4)

This gives us two solutions

x=0

x=4/16=1/4

The roots are x = 0 and x = 1/4 seconds.

Interpreting the Roots

The height of living room ceiling is 15 feet.

Step-by-step explanation:

Given,

Height of ceiling in bedroom = 10 feet

This is 2/3 height of living room ceiling.

Let,

x be the height of living room ceiling.

2/3 of x = 10

[tex]\frac{2}{3}x=10[/tex]

Multiplying both sides by 3

[tex]3*\frac{2}{3}x=10*3\\2x=30[/tex]

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{30}{2}\\x=15[/tex]

The height of living room ceiling is 15 feet.

Keywords: fraction, division

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The height of the living room ceiling is 15 feet.

To find the height of the living room ceiling, we can start by letting 'x' represent the height of the living room ceiling.

Since the bedroom ceiling is 2/3 as high as the living room ceiling, we can write the equation:

10 = (2/3)x

To solve for x, we can multiply both sides of the equation by 3/2:

(3/2)(10) = (3/2)((2/3)x)

15 = x

Therefore, the height of the living room ceiling is 15 feet.

Answer:

A I think is the right one

Answer:

a

Step-by-step explanation:

the x of each point in order from least to greatest makes up the domain

Answer:

3 11/16

Step-by-step explanation:

7 1/2 - 2 3/16 - 1 5/8

turn all to same fractions using multiplication

by this i mean to only multiply the fractions (both numerator and denomenator)

7 8/16 - 2 3/16 - 1 10/16

Turn them into improper fractions

120/16 - 35/16 - 26/16 =

And solve

3 11/16

Answer:

The fraction less than  [tex]\frac{3}{5}[/tex] is   [tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Given fractions are

[tex]\frac{3}{5} ,\frac{3}{10} ,\frac{3}{4}, \frac{2}{3}, \frac{5}{3}[/tex]

[tex]\frac{3}{5} =0.6\\\\\frac{3}{10}= 0.3\\\\\frac{3}{4} =0.75\\\\\frac{2}{3}=0.66 \\\\\frac{5}{3}=1.66[/tex]

Arranging the fraction in increasing order of their value

     [tex]\frac{3}{10}= 0.3<\frac{3}{5} =0.6<\frac{2}{3}=0.66<\frac{3}{4} =0.75<\frac{5}{3}=1.66[/tex]

So,the fractions less than  [tex]\frac{3}{5}[/tex] is   [tex]\frac{3}{10}[/tex]

Part a) Wayen's saving before he spend $28 is $30

Part b) Steph's saving after she spend $28 is $8

Step-by-step explanation:

Ratio of Wayen's saving to stephs saving: 5:5

After spending $28

Ratio of Wayen's saving to Stephs saving: 1:4

We can write ratio as:

[tex]\frac{W}{S}=\frac{5}{6}\\Cross\,\,multiply\\6W=5S\,\,eq(1)[/tex]

After spending $28

[tex]\frac{W-28}{S-28}=\frac{1}{4}\\Cross\,\,multiply\\4(W-28)=S-28\,\,eq(2)[/tex]

Part a) Find Wayen's saving before he spend $28

Using both equations to find value of W

Putting value of S from eq(1) into eq(2)

6W/5=S

[tex]4W-112+28=S\\4W-84=S\\Putting\,\,value\,\,of\,\,S\\4W-84=\frac{6W}{5}\\ Multiply\,\,both\,\,sides\,\,by\,\,5\\20W-420=6W\\20W-6W=420\\14W=420\\W=420/14\\W=30[/tex]

So, Wayen's saving before he spend $28 is $30

Part b) Find Steph's saving after she spend $28

First Steph's saving before spending $28 is:

[tex]S=\frac{6W}{5}\\S=\frac{6*30}{5} \\S=36[/tex]

Now, After spending $28

S-28 we get:

36-28= $8

So, Steph's saving after she spend $28 is $8

Keywords: Ratio and proportion

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4,560

10 to the 2nd power is = 100

so 100 × 45.6 =

Answer:

y = - 4.4

Step-by-step explanation:

from the question

y = -6.6

x = 9.9

y∝ x

y = kx ..... where k is introduced as a constant of proportionality

solve for k

y=-6.6 and x = 9.9

we have,

-6.6 = k × 9.9

-6.6 = 9.9k

divide both sides by 9.9

-6.6/ 9.9 = 9.9k/9.9

-0.667= k

therefore k = - 0.667

now, find y when x = 6.6

from the equation y = kx

y = -0.667 × 6.6

y = - 4.4

Answer:

-4.4

Step-by-step explanation:

x : y

9.9 : -6.6

6.6 : y

9.9/-6.6 = 6.6/y

y = 6.6 × -6.6/9.9

y = -4.4

Answer:

5b²-1b-2

Step-by-step explanation:

-3b and +2b are like terms so you combine them together -3b+2b= -1b

+2 and -4 are like terms so +2-4= -2

5b² has no like terms

then you put your answers together to simplify the equation

5b²-1b-2

The polynomials added together give the result 5b^2 - b - 2. The addition is done by combining like terms in the given polynomials.

To add these polynomials, you combine like terms. Like terms are the terms in the polynomial that have the same variable and exponent. Here, our terms are 5b^2, -3b, 2, 2b, and -4.

The term 5b^2 does not have a like term, so it remains as is. The terms -3b and 2b add up to -b because -3b + 2b = -b. And finally, the constants 2 and -4 add up to -2. When we combine these results, we have the final answer: 5b^2 - b - 2.

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