Jonathan loves all kinds of music. The ratio of rock songs to dance songs on his iPhone is 5:6. If Jonathan has 99 rock and dance songs (total songs), how many of each does he have?

Answer:

6^2 = 36

Step-by-step explanation:

10^2 = 10 * 10 = 100

4^3 = 4 * 4 * 4 = 64

10^2 - 4^3= 100 - 64 = 36 = 6^2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(6^2\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Calculating the answer...}}\\\\10^2 - 4^3\\---------------\\\rightarrow 10^2 = 100\\\\\rightarrow 4^3 = 64\\\\\rightarrow 100 - 64 = \boxed{36}\\\\\text{Since we know that '36' is a perfect square, we can rewrite our answer as: } \boxed{6^2}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Simplify the expression.

2x^2y/3z

Answer:

x=−1 or x=−9

Step-by-step explanation:

x2+11x+10=x+1

Step 1: Subtract x+1 from both sides.

x2+11x+10−(x+1)=x+1−(x+1)

x2+10x+9=0

Step 2: Factor left side of equation.

(x+1)(x+9)=0

Step 3: Set factors equal to 0.

x+1=0 or x+9=0

x=−1 or x=−9

Answer:

y = 7x - 4

Step-by-step explanation:

To solve the equation of this line ( in point - slope form ) we would have to first identify the slope. If we are given the points ( 0, - 4 ) and ( 1, 3 ) then through the change in y / change in x, we can calculate the value of this slope. Take a look at the steps below;

\(( 0, - 4 ), ( 1, 3 )\\\\Slope = y2 - y1 / x2 - x1,\\\\Slope = - 4 - 3 / 0 - 1,\\Slope = - 7 / - 1\\Slope = 7 / 1\\\\Slope = 7\)

Now that we have the slope of this line, we have assume part of the equation of this line ( that passes through the points ( 0, - 4 ) and ( 1, 3 ) );

\(y = mx + b -\\m = slope, b = y - intercept\)

Plug in the value of slope for " m " in y = mx + b, and determine the y - intercept by plugging in x as 0 and y as - 4, given the point ( 0, - 4 );

\(- 4 = 7 * ( 0 ) + b,\\- 4 = 0 + b,\\b = - 4\)

From this information, we can say that the equation of this line is y = 7x - 4;

Solution, y = 7x - 4

Answer:

7

Step-by-step explanation:

When dividing numbers with exponents that have the same base (in this case it’s 5), you can subtract the two exponents to simplify it.

I’m just going to show you how to solve it for you to understand:

\(\frac{5^{11} }{5^{x} }=5^{4}\) This means that what can you subtract from 11 (the exponent) to get to 4 (the other exponent). You can notice that 11 - 7 = 4.

So,

\(\frac{5^{11} }{5^{7} }=5^{4}\)

Answer: 7

You have a good day too!

Hope this helps! :)

Answer:

MP= (7.5,2) or another way of it \(MP= (\frac{15}{2},2 )\)

Step-by-step explanation:

Midpoint formula: \(MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} )\)

\(MP= (\frac{6+9}{2}),(\frac{-1+5}{2} )\) 6+9=15  -1+5=4

\(MP= (\frac{15}{2}),(\frac{4}{2} )\) 15/2=7.5 4/2=2

\(MP= (7.5,2)\)

A)The actual distance between towns K and L is 10 cm .

B) The bearing of town L from town k is 117 degree

The length of the line segment connecting the two sites is used to measure distance between them. The shortest line segment between a point and a line will have a length equal to the distance between them.

The following list includes four distance metrics that are maybe the most often employed in machine learning: the Hamming Distance. Distance in Euclid. New York City distance

The distance a number is from 0 on the number line is its absolute value. Because -7 is 7 units away from 0, its absolute value is 7. Because it is 5 units away from 0, the number 5 has an absolute value of 5. Any number that is less than zero is considered to be negative.

Given ,

A)The actual distance between towns K and L is 10 cm .

B) check the photo of my work

C) The bearing of town L from town k is 117 degree

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Step-by-step explanation:

we can idnetify that it is arithmetic due to it being a linear sequnce. Therefore we find Tn and equate it to the last term to find the number of terms. We then use that to find the sum of the series using the following formula where n is the number of terms, a is the first term and L represents your last term.

The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.

You should perform x trials until you observe a success.

We have given that,

There are exactly two possible outcomes success and failure.

We have to determine the following is NOT a common characteristic of a binomial distribution.

By process of elimination:-

A binomial experiment is a statistical experiment that must meet certain requirements

All trials are independent.

There are a fixed number of n trials.

The probability of success, p, is the same for each trial.

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Answer: 2(x^2 + 1)

Step-by-step explanation: its either that or no solution for this question

Answer:

a, b, c  are all equations  d non equation

Step-by-step explanation:

The volume of the block of wood is 78 cubic inches.

What is cube?

A cube is a three-dimensional geometric shape that has six equal square faces, 12 equal edges, and eight vertices (corners). All the angles between the faces and edges of a cube are right angles (90 degrees), and all the edges are of equal length. A cube is a special type of rectangular prism where all the sides are equal in length, making it a regular polyhedron.

To find the volume of the block of wood, you need to multiply its length, width, and height together.

Volume = length x width x height

Volume = 6.5 inches x 1.5 inches x 8 inches

Volume = 78 cubic inches

Therefore, the volume of the block of wood is 78 cubic inches.

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Answer:

log (1/3)

Step-by-step explanation:

\( log \: 2 - log \: 6 \\ \\ = log \frac{2}{6} \\ \\ = log \frac{1}{3} \)

Given that random sample of 25 values is drawn from a mound-shaped and symmetrical distribution. The sample mean is 10 and the sample standard deviation is 2. H0 (null hypothesis) is accepted.

we can infer that -

95 % CI for mean  9.1744 to 10.8256

Since p >0.05 accept null hypothesis.

standard deviation sigma not known.  df = 24

H0:  x bar = 9.5

Ha: x bar not equals 9.5

t-statistic  1.250

P = 0.2234

We fail to reject null hypothesis

There is no statistical evidence at 5% level to fail to reject H0

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The required value of the 30th percentile of the given data set 7 12 3 14 17 20 5 3 17 4 13 2 15 9 15 18 16 9 1 6 is equal to 5.

To find the value of the 30th percentile,

We need to sort the data set in ascending order first,

1, 2, 3, 3, 4, 5, 6, 7, 9, 9, 12, 13, 14, 15, 15, 16, 17, 17, 18, 20

The 30th percentile is the value below which 30% of the data falls.

To find this value, we can use the formula,

P = (n / 100) × x

where P is the desired percentile (30th percentile in this case),

n is the total number of data points,

And x is the rank of the value corresponding to the desired percentile.

Here,

The total number of data points n = 20

x = (30 / 100) × 20

  = 6.

This means that the value corresponding to the 30th percentile is the 6th value in the sorted data set, which is 5.

Therefore, the value of the 30th percentile for the given data set is 5.

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Answer:

x=8

Step-by-step explanation:

7x-3=7x+5

Subtract 7 on both sides

x-3=5

Add 3 on both sides

x=8

if the mean percentage of students was 75% and the standard deviation was 10%, z-score corresponding to a student that ended the course with a 75% is 0.

Z-score is a statistical measure defines the relationship of a group of values with their respective mean and standard deviation.

Z-score is measured in terms of standard deviations from the mean.

Here, mean is the average value of all the given values. Standard deviation is the square root of variance i.e., how far spread are the values.

Z score of X is given by :

\(Z = \frac{X - mean}{standard \ deviation}\)

Given, X = 0.75

mean = 0.75

standard deviation = 0.1

Putting the value of X, mean and standard deviation in the above formula, the z score comes out to be:

z score = 0

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The amount of interest she will earn at the end of 3 years would be = $375

The principal amount of money saved by Chantal (p)= $5000

The interest rate that the amount generates (r)= 2.5%

The total time for the savings(t) = 3 years.

The simple interest generated S.I = P×T×R/100

= 5000×3×2.5/100

= 37500/100

= $375

Therefore the amount of money she will earn as interest after three years of savings would be = $375.

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Answer:

The coordinate point "c" is (6, 7). if start with ABCD which is rectangle

Step-by-step explanation:

A radical equation is an equation that contains a variable within a radical expression.

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Answer: Option 1

Step-by-step explanation:

Here, a = -3, b = -2, c = 6.

Answer:

r= 2

Step-by-step explanation:

2^3 is basically 2x2x2

2x2=4 x 2= 8

you can subtract 10 with 8 to fin what r equals to.

Answer:

Solution given:

(x²-7x+6)+(x²+6x)

open bracket

x²-7x+6+x²+6x

keep like terms together

x²+x²-7x+6x+6

solve like terms

2x²-x+6

option 3rd

2x² - x + 6

\\ thank \: you\)

I hope this helps you

Answer:

Chaim established all necessary conditions, but then used an inappropriate congruence criterion.

Step-by-step explanation:

Given : ΔJKL & ΔLMN To Find:- Correct answer

Solution :

here, conquerency should be side. angle side, 80,

chaim established all necessasary conditions, but than used an inappropriate congurence criterion.

the sum x + y is at least 20. We can achieve this lower bound by choosing x = y = 10, since then xy = 100 and x + y = 20. This is the smallest possible value of the sum, so the two positive numbers are 10 and 10.

Let x and y be the two positive numbers whose product is 100, so xy = 100. We want to find the smallest possible value of x + y.

Using the AM-GM inequality, we have:

x + y ≥ 2√(xy) = 2√100 = 20

what is numbers?

Numbers are mathematical objects used to represent quantity, value, or measurement. There are different types of numbers, including natural numbers (1, 2, 3, ...), integers (..., -3, -2, -1, 0, 1, 2, 3, ...), rational numbers (numbers that can be expressed as a ratio of two integers), real numbers (numbers that can be represented on a number line), and complex numbers (numbers that include a real part and an imaginary part).

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Answer:

pretty sure its D. 1.6 x 10^9

Answer:

-3/8 = x

Step-by-step explanation:

90% sure this is correct but my simple math may be wrong

Answer: x=9

Step-by-step explanation:

x^2-8x-9=0...

we can simplify this by adding 9 to each side... so it turns into this: x^2-8x=9

Then, we can turn x^2 to x*x because we know that anything to the power of two is itself multiplied by itself. So our new equation will be this:

x*x-8x=9

Now we know x has to be 9 because 8 is 1 less than 9. Therefore, our answer would be x (9)...

Let’s test this out... first, let’s substitute x with the number 9:

9^2-8*9-9=0. Simplify this:

81-72-9=0. We can then simplify furthers and we get:

0=0. This means that the equation is true

Answer:

228

Step-by-step explanation:

2(6x4 + 4x9 + 6x9) = 228