Why is -3 ​⅛ a rational number?

After simplifying the equation we acquire the value of x as:

x = 1.225 or x = ₋12.225

Given the equation is x² ₊ 11x ₊ 15 = 30

arrange the constants on one side.

x² ₊ 11x = 30 ₋ 15

x² ₊ 11x = 15

x² ₊ 11x ₋ 15 = 0

now simplify the equation using the formula: -b±√b²₋4ac / 2a

in the equation we have the values for a = 1 , b = 11 and c = ₋15

substitute the values and get the value of x.

= ₋11 ± √(11)² ₋ 4(1)(₋15) / 2(1)

= ₋11 ± √121 ₊ 60 / 2

= ₋11 ± √181 / 2

= ₋11 ± 13.45 / 2

= ₋11 ₊ 13.45 / 2 or ₋11 ₋ 13.45 / 2

= 2.45/2 or ₋24.45/2

= 1.225 or ₋12.225

Therefore x value is 1.225 or ₋12.225

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Answer:

is this alegebra? if so im failing in it.

Step-by-step explanation:

because im bad at alegebra

Answer:

left to right:

4a + 12

6a - 36

12c+6

10d + 30

40e + 64

48f - 72

14g - 20

66h - 36

22 + 14i

90j - 27

27k - 30

65m - 143

Step-by-step explanation:

I really hope this helped

The Probability that no person is next to their partner is 104/105.

Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).

Permutations is defined as arrangement of elements/objects in a particular way.

According to the question ,

8 people can be arranged in 8! ways = 40320ways

First let us find the probability that person is next to their partner.

4 couples can be arranged in 4! ways

and the couple itself can be arranged in 2! ways

Since there are 4 couples ,

Number of arrangement = \(4!(2!)^{4}\)

=24x16

=384 ways

Probability that person is next to their partner = \(\frac{384}{40320} =\frac{1}{105}\)

and the probability that no person is next to their partner is \(1-\frac{1}{105} =\frac{104}{105}\).

Therefore , the probability that no person is next to their partner is \(\frac{104}{105}\).

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Answer:

1 cone

Step-by-step explanation:

2. rectangular prism

Answer:

the first one is a cone

Step-by-step explanation:

the second one is a rectangular prism

Answer:

Step-by-step explanation:

B

Answer:

looks like 73

Step-by-step explanation:

Answer:

$12.43

Step-by-step explanation:

Given :

Mean = $8.52

Standard deviation, = $2.38

Stock price which falls beyond 0.05 of the distribution is at the 95th percentile

The 95th percentile distribution has a Pvalue of 1.645 (standard normal table)

We obtain the value of x, with z = 1.645

Using the Zscore relation :

Zscore = (score - mean) / standard deviation

1.645 = (score - 8.52) / 2.38

Cross multiply :

1.645 * 2.38 = score - 8.52

3.9151 = score - 8.52

Score = 8.52 + 3.9151

Score = $12.4351

Stock price beyond 0.05 is $12.43

The point estimate would be:

Point estimate = 9

Since, The point estimate of the difference between the means of the two populations can be calculated by subtracting the sample mean of employees with an associate's degree from the sample mean of employees.

Therefore, the point estimate would be:

Point estimate = 60 - 51

                       = 9 (in $1,000)

It means , All the employees with a bachelor's degree have a higher average salary than which with an associate's degree from approximately $9,000.

It is important to note that this is only a point estimate, which is a single value that estimates the true difference between the population means.

Hence, This is based on the sample data and is subject to sampling variability.

Therefore, the correct difference between the population means would be higher / lower than the point estimate.

To determine the level of precision of this point estimate, confidence intervals and hypothesis tests can be conducted using statistical methods. This would provide more information on the accuracy of the point estimate and help in making informed decisions.

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Answer:

e

Step-by-step explanation:

Step-by-step explanation:

Use calculator:

sin x = 0.4 --> arc

x=23∘‍58

Trig unit circle gives another arc x that has the same sin value:

x=180−23.58

=156∘42

Answers for (0, 360)

23∘58,156∘42

The estimated thickness of the glass dish is approximately 0.02 cm or 0.0155 cm, rounded to the nearest hundredth.

To estimate the thickness of the glass dish, we need to convert the given measurements from inches to centimeters to ensure consistent units.

Given:

Length = 8.5 inches

Width = 6.75 inches

Height (thickness) = 2.5 inches

Density of glass = 2.23 grams per cubic centimeter

Mass of dish = 0.9 kilogram

To convert inches to centimeters, we use the conversion factor: 1 inch = 2.54 centimeters.

Length (converted) = 8.5 inches * 2.54 cm/inch = 21.59 cm

Width (converted) = 6.75 inches * 2.54 cm/inch = 17.15 cm

Height (converted) = 2.5 inches * 2.54 cm/inch = 6.35 cm

The volume of the dish can be calculated by multiplying the length, width, and height:

Volume = Length * Width * Height = 21.59 cm * 17.15 cm * 6.35 cm ≈ 2346.68 cm³

The mass of the dish is given as 0.9 kilograms, which is equal to 900 grams.

Density = Mass / Volume

2.23 g/cm³ = 900 g / 2346.68 cm³

To find the thickness of the glass, we rearrange the formula:

Thickness = Mass / (Density * Length * Width)

Thickness = 900 g / (2.23 g/cm³ * 21.59 cm * 17.15 cm)

Thickness ≈ 0.0155 cm or 0.02 cm (rounded to the nearest hundredth)

Therefore, the estimated thickness of the glass dish is approximately 0.02 cm or 0.0155 cm, rounded to the nearest hundredth.

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The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

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Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

The solutions of the given equation are 2 or -2

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation, x²+2 = 6

x²+2 = 6

Solving we get,

x²+2 = 6

x² = 6-2

x² = 4

x = ±2

Hence, there are two solutions of the equation 2 or -2

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Answer:

the difference is 39? for the answer

Step-by-step explanation:

The question is not exactly worded in such a way that one can tell how it should be answered.

If it means that 40 is the suim of 2 primes done 3 ways then the 3 answers are

17 + 23

37 + 3

11+ 29

So the difference between 37 and 29 = 8

There are no guarantees about this answer. I'm just doing it the way the question reads.

The given expression gives the complex number:

N = 1 + 0i

Here we want to simplify the expression:

N = -4i + (1/4 - 5i) - (-3/4 + 8i) + 17i

Where i is the complex number, now we can just separate the terms with i and the terms without i.

N = -4i + (1/4 - 5i) - (-3/4 + 8i) + 17i

= (1/4 + 3/4) + (-4i - 5i - 8i + 17i)

= ( 1) + (-4 - 5 - 8 + 17)i

=  1  + 0i

That is the complex number that comes out of the given expression.

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Answer:

huh

Step-by-step explanation:

Answer:

(2x + 1)(x + 5)

Step-by-step explanation:

2x² + 11x + 5 =

= 2x² + 10x + x + 5

= 2x(x + 5) + (x + 5)

= (2x + 1)(x + 5)

Answer:

Domain

Solution:  all real values of x

Interval notation:  (-∞, ∞)

Range

Solution:  y ≥ -4

Interval notation:  [-4, ∞)

Step-by-step explanation:

Domain:  input values (x-values)

Range:  output values (y-values)

Domain

Solution:  all real values of x

Interval notation:  (-∞, ∞)

Range

Solution:  y ≥ -4

Interval notation:  [-4, ∞)

The equation for this graph is:  y = |x - 2| - 4

Note that

So

here for no values of x the graph is undefined ( Doesn't contain any asymptotes whether vertical or horizontal)

The vertex is at (2,-4)

Range is y

One way to simplify variables with many levels (or decimal places) when creating a frequency distribution is to organize the data into class intervals (option B).

By grouping the data into intervals, the frequency distribution becomes more manageable and easier to interpret. This process involves dividing the range of values into distinct intervals or categories and then counting the number of observations falling within each interval. Class intervals provide a summary of the data by grouping similar values together, reducing the complexity of individual levels or decimal places.

This simplification technique is particularly useful when dealing with large datasets or continuous variables that have numerous levels or decimal values, allowing for a clearer representation and analysis of the data.

Option B holds true.

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Step-by-step explanation:

the only question I see is : "what is the area of the puddle, when the employees arrive at 7 am ?".

well, in that case, it had rained for 4 hours with the hole in the roof (from 3am to 7am).

4 hours = 4×60 = 240 minutes.

that means the radius of the puddle grew to

240×0.1 = 24 cm

therefore the area of the puddle was

pi×r² = pi×24² = 576pi = 1,809.557368... cm² ≈

≈ 1,810 cm²

Answer:

(look at the picture)

Answer:

a. Green = 0.12

Blue = 0.24

b. 176

Step-by-step explanation:

a. let green be x

blue be 2x

since, total probabilities = 1

then, 1 = 0.2+0.44+x+2x

x = (1-0.2-0.44)/3

x = 0.12

So, green is 0.12

blue is 0.24

b. Since total probabilities= 1

yellow probabilities= 0.44

then, 400*0.44 = 176

So, it's expected to land on yellow 176 times.

Answer:

(2x-286)

Step-by-step explanation:

Answer:

(2x-286

Step-by-step explanation:

step by step

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The morbidity rate is 500 cases per 100,000 people.

The morbidity rate is a measure of the number of cases of a particular disease within a specific population. In this scenario, out of 100,000 individuals exposed to the bacterial pathogen, 500 individuals develop the disease. Therefore, the morbidity rate is calculated by dividing the number of cases (500) by the total population (100,000) and multiplying by 100,000 to express it per 100,000 people.

Morbidity rate = (Number of cases / Total population) x 100,000

In this case, the calculation would be:

Morbidity rate = (500 / 100,000) x 100,000 = 500 cases per 100,000 people.

This means that for every 100,000 individuals exposed to the bacterial pathogen, there are 500 cases of the disease. The morbidity rate provides an important measure of the impact and prevalence of a disease within a population, allowing for comparisons and assessments of public health.

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The length of YM in triangle XYZ, where XY = 8.3 cm and YZ = 11.9 cm, is approximately 2.77 cm.

To construct triangle XYZ with XY = 8.3 cm and YZ = 11.9 cm:

i. Start by drawing a line segment XY with a length of 8.3 cm.

ii. From point X, draw a line segment in the direction of YZ, measuring 11.9 cm. Label the endpoint as Z.

iii. Connect points Y and Z to complete the triangle XYZ.

To construct the midpoint M of XZ with angle YXZ = 60 degrees:

i. Draw a ray from point Y, forming an angle of 60 degrees with line segment YZ. Label the point where the ray intersects XY as M.

ii. Construct a line segment from point M perpendicular to line segment XY. This line segment will intersect line segment XZ at the midpoint M.

The length of YM can be calculated using the Pythagorean theorem.

If we let XZ = a, then XZ/2 = XM = MZ = a/2.

Using the angle YXZ = 60 degrees, we can write the length of YM as:

YM = \(\sqrt{(XM^2 + YX^2)} = \sqrt{((a/2)^2 + (8.3-a)^2)\)

We can solve for a by setting the derivative of YM with respect to a to zero and solving for a, which yields a value of a = 4.85 cm.

Therefore, the length of YM is:

YM = \(\sqrt{((4.85/2)^2 + (8.3-4.85)^2)\) = \(\sqrt{(7.686)\) ≈ 2.77 cm.

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Answer:

8

I really hope this helped! :D

Step-by-step explanation:

X squared is equal to 64.

That also means X is the square root of 64.

8*8=64

8 Is the square root of 64, meaning it's also X.

Remember, when you square a number, you multiply it to itself.

8^2= 8*8

4^2=4*4

2^2= 2*2

So on, so forth.

Answer:

a=-3

b=5/2

c=-1/2

Step-by-step explanation:

3^-3=1/3^3=1/27    a=-3

3^5/2=√3^5=9√3           b=5/2

3^-1/2=1/√3                         c=-1/2

Answer:

Step-by-step explanation:

\(3^a = 1/27\\Write ; 1/27 -in-exponential-form\\3^a = 3^-^3\\Cancel-out-the-base\\a = -3\)

\(3^b = 9\sqrt{3} \\Convert 9\sqrt{3} to base 3\\ 3^b = 3^{\frac{5}{2} } \\Cancel-out-the-base\\b = 5/2\)

\(3^c = \frac{1}{\sqrt{3} } \\Apply -exponent -rule ;\frac{1}{a^b}=a^{-b}\\\frac{1}{\sqrt{3}}=3^{-\frac{1}{2}}\\3^c = 3^{-\frac{1}{2} } \\\mathrm{Apply\:exponent\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}\\3^{-\frac{1}{2}}=3^{-\frac{1}{2}}\\3^c = 3^{-\frac{1}{2} } \\\mathrm{If\:}a^{f\left(x\right)}=a^{g\left(x\right)}\mathrm{,\:then\:}f\left(x\right)=g\left(x\right)\\c = -\frac{1}{2}\)

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If yes , contact me on Hangouts .

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Answer:

$12.45

Step-by-step explanation:

To find the rental cost, plug in 30 as x

c(x) = 0.09x + 9.75

c(30) = 0.09(30) + 9.75

c(30) = 12.45

So, the total rental cost for 30 miles is $12.45

Answer:

6 batches

Step-by-step explanation:

Answer:

the answer is 8/3  u have to mutplay

Step-by-step explanation:

Answer: No

Step-by-step explanation:

37 degrees Celsius to Fahrenheit is 98.6 degrees.