Answer the following question. 5 A computer program now has 813,000,000 million users How is this number written in scientific notation? A 8.13 x 10 B 8.13* 10' C 8.13* 10" D 8.13* 10 C A Ов Ос OD
I need help which is it (A) (B) (C) or (D)​

Answer:

Step-by-step explanation:

We can solve the simultaneous equations by using the substitution method.Firstly, we'll rearrange the second equation so that it's in the form y = mx + c. We can do this by adding 15 to both sides, giving us:y = x² - 15

Now we can substitute this into our first equation:

X² - x(x² - 15) + 7(x² - 15) ²=27

This simplifies to:X² - x³ + 21x² - 105x + 729 = 27

Now we have a cubic equation which we can solve using standard methods.

Answer: 4

Step-by-step explanation:

1 third of 30 is 10 and 2/5s of 10 is 4

The diameter of the sphere with a volume of \(19561 ft^3\) is approximately 49 feet.

What is the Volume of sphere ?
the volume of a sphere is equal to four-thirds times pi times the cube of the radius.

So, if you know the radius of a sphere, you can use this formula to find its volume. Conversely, if you know the volume of a sphere and you want to find its radius, you can rearrange the formula as follows:

\(r = (3V/4\pi )^{(1/3)}\)

The formula for the volume of a sphere is:

\(V = (4/3)\pi r^3\)

where V is the volume, π is the mathematical constant pi (approximately 3.14159), and r is the radius of the sphere.

According to the question:
To find the radius of the sphere, we can rearrange the formula as:

\(r^3 = (3/4\pi )V\)

\(r = (3/4\pi V)^{1/3}\)

Substituting the given volume \(V = 19561 ft^3\), we get:

\(r = (3/4\pi × 19561)^{1/3}\)= 24.5 ft (rounded to one decimal place)

The diameter of the sphere is twice the radius, so we have:

d = 2r = 2 × 24.5 = 49 ft

Therefore, the diameter of the sphere with a volume of \(19561 ft^3\) is approximately 49 feet.

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The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

Answer:

See below.

Step-by-step explanation:

8b²

b=2

8(2)²

8(4)

32

-hope it helps

Answer:b28+b2=b30

Step-by-step explanation:

substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Answer:

Explanation:

a) Here, we want to find other values that are the same as the given scale ratio

What we have to do is just to find values that would have a ratio of 2:3 when reduced

We can have 2:3 as 4:6

Also, we can have it as 8:12

So in the scale ratio part, we can fill in 4:6 and 8:12

b) For the area ratio

We know that, area is the square of the initial length dimension

Thus, we can have:

We can also have:

c) For the volume ratio

Volume is simply the cube of the linear dimension

Thus, we can have:

Answer:

A would be your answer.

Step-by-step explanation:

An irrational number shows that it's never ending, and that it doesn't repeat. Therefore, A would be correct.

The area of a circle is calculated using the formula:

A = πr^2

Where A is the area and r is the radius of the circle.

In this case, the radius is given as 7. Substituting the value into the formula:

A = π(7)^2

A = π(49)

A = 49π

The exact area of the circle is 49π square units.

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♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

{x,y}={1,−3}

Step-by-step explanation:

Answer:

B(6, 5), C(1, -7)

Step-by-step explanation:

A(2, 5)

From A to B, there is translation x, (4, 0).

Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.

B(2 + 4, 5 + 0) = B(6, 5)

From C to B there is the translation y, (5, 12).

Since we are going from B to C, we undo translation y.

The translation from B to C is (-5, -12).

C(6 - 5, 5 - 12) = C(1, -7)

Answer:

\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Answer:

No

Step-by-step explanation:

If you are just seeking answers, you are basically cheating and trying to get someone to do your work...which will not help you learn the material ....sad.

The spherical coordinates of the given rectangular coordinates are (10, 0, 60).

The cartesian coordinate or rectangular coordinates describes the location of a point in space using an ordered triple where each coordinate represents a distance. The spherical coordinate system describes the location of a point in space using an ordered triple where coordinate describes one distance and two angles. In the spherical coordinate system, a point is represented by the ordered triple (ρ, θ, φ).

The equations which are used to convert from rectangular coordinates to spherical coordinates are:

ρ^2=x^2+y^2+z^2

tan⁡〖θ= y/x〗

φ=arccos⁡〖z/√(x^2+y^2+z^2 )〗

The given rectangular coordinates are (5√3, 0, 5). Hence,

ρ^2=〖(5√3)〗^2+0^2+5^2 ≈ 100

ρ ≈ √100 ≈ 10

tan⁡〖θ= 0/(5√3)=0〗

θ=  tan^(-1)⁡0=0

φ=arccos⁡〖5/√(〖(5√3)〗^2+0^2+5^2 )〗= arccos 5/10=arccos⁡0.5 ≈ 60

Note:  The question is incomplete. The complete question probably is: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where needed. Give your answer as a point's coordinates in the form (*,*,*). (5√3, 0, 5)

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Answer:

see below

Step-by-step explanation:

distance / rate = time

x = walking distance        20 -x = biking distance

x / 4 m/hr   +   (20-x) / 12 m/hr    =   3 hours

x/4   + ( 20-x) /12 = 3     multiply both sides of the equation by 12  

3x  + 20 -x  = 36

2x = 16

x = 8      8 miles walking    then   12 miles biking

Answer:

4 mph

Explanation:

8 miles / 2 hours = 4 miles each hour

I may be correct or not

54(x+42)

The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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EXPLANATION

Given the relationship:

(4-1+8/8)x5

Simplifying and adding terms:

= (3+1)x5

Adding terms and removing the parentheses:

=4x5

Multiplying terms:

=20

So, the answer is 20

Answer: She would've used 82 gallons

Area of a circle is pi x radius^2

Area = pi x 22 ^2

Area = pi x 484

Area = 1,519.8 mm^2

Answer:

1520.5mm²

Step-by-step explanation:

Area of a circle=πr²

π(22mm)²

π484mm²

1520.5308443374599mm²

to one decimal place

1520.5mm²

Answer:

when a number is divisible by 9, then the number is divisible by 3.

Step-by-step explanation:

They tell us "When a number is divisible by 9, the number is divisible by 3" we could change it by:

when a number is divisible by 9, then the number is divisible by 3.

Which makes sense because the number 9 is a multiple of the number 3, which means that the 9 can be divided by 3, therefore, if the number can be divided by 9, in the same way it can be divided by 3 .

Answer:

a

Step-by-step explanation:

Answer:

A = 48

Step-by-step explanation:

In this equation, we can factor out the expression \((\frac{1}{7} )^x\). If we do so, the expression becomes:

\((\frac{1}{7})^x((\frac{1}{7})^{-2} - 1)\)

We can simplify to get:

\((\frac{1}{7} )^x(49 - 1)\)

and get:

\(48*(\frac{1}{7})^x\)

Therefore, A = 48

Answer:

(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is 0.0537.

(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is 0.0023.

(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is 0.1101.

Step-by-step explanation:

We are given that according to an NRF survey conducted by BIG research, the average family spends about $237 on electronics in back-to-college spending per student.

Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54.

Let X = back-to-college family spending on electronics

SO, X ~ Normal(\(\mu=237,\sigma^{2} =54^{2}\))

The z score probability distribution for normal distribution is given by;

                                 Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = population mean family spending = $237

           \(\sigma\) = standard deviation = $54

(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is = P(X < $150)

        P(X < $150) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{150-237}{54}\) ) = P(Z < -1.61) = 1 - P(Z \(\leq\) 1.61)

                                                             = 1 - 0.9463 = 0.0537

The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9463.

(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is = P(X > $390)

        P(X > $390) = P( \(\frac{X-\mu}{\sigma}\) > \(\frac{390-237}{54}\) ) = P(Z > 2.83) = 1 - P(Z \(\leq\) 2.83)

                                                             = 1 - 0.9977 = 0.0023

The above probability is calculated by looking at the value of x = 2.83 in the z table which has an area of 0.9977.

(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is given by = P($120 < X < $175)

     P($120 < X < $175) = P(X < $175) - P(X \(\leq\) $120)

     P(X < $175) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{175-237}{54}\) ) = P(Z < -1.15) = 1 - P(Z \(\leq\) 1.15)

                                                         = 1 - 0.8749 = 0.1251

     P(X < $120) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{120-237}{54}\) ) = P(Z < -2.17) = 1 - P(Z \(\leq\) 2.17)

                                                         = 1 - 0.9850 = 0.015

The above probability is calculated by looking at the value of x = 1.15 and x = 2.17 in the z table which has an area of 0.8749 and 0.9850 respectively.

Therefore, P($120 < X < $175) = 0.1251 - 0.015 = 0.1101

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

Work Shown for problem 1

P(pink, then violet) = P(pink)*P(violet given 1st was pink)

= (4/14)*(2/13)

= 8/182

= 4/91

------------------------------

Work Shown for problem 2

P(gray, then gray)

= P(gray)*P(gray given 1st was gray)

= (3/14)*(2/13)

= 6/182

= 3/91

-------------------------------

Work Shown for problem 3

P(not yellow, not yellow)

= P(not yellow)*P(not yellow given 1st was not yellow)

= (9/14)*(8/13)

= 72/182

= 36/91

-------------------------------

Work Shown for problem 4

P(yellow, not yellow)

= P(yellow)*P(not yellow given 1st was yellow)

= (5/14)*(9/13)

= 45/182

Answer:

See explanation below

Step-by-step explanation:

Here, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour.

a) The alternative and null hypotheses would be:

H0: μ ≥ 220

Ha: μ < 220

b) Comment on the conclusion when H0 cannot be rejected:

When we fail to reject the null hypothesis H0, there is not enough evidence to conclude that the mean cost can be reduced from $220. Therefore the manager's proposed method cannot be implemented.

c) Comment on the conclusion when H0 can be rejected:

When the null hypothesis, H0 is rejected, there is enough evidence to conclude that the mean cost can be reduced from from $220. Therefore the manager's proposed method can be implemented.

Answer:

5 units of vertical distance

Step-by-step explanation:

just count

By direct multiplication of fractions, we will see that she uses 1/30 of the original container of applesauce to bake the muffins.

Remember that the product of two fractions is just:

\(\frac{x}{y} \frac{a}{b} = \frac{x*a}{y*b} \)

Now, we know that Sasha gets 1/3 of the applesauce, and she uses 1/10 of what she gets to make the muffins. So the fraction that she uses is just the product of these two:

\(\frac{1}{3}* \frac{1}{10} = \frac{1}{30} \)

This means that she uses 1/30 of the original container of applesauce to bake muffins.

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Answer:

y = (3/2)x + 2

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept (value of y when x is 0).

From the graph, we can see that the y intercept is 2 units. Also, the line passes through point (2, 5) and (-2, -1). Therefore the slope of the line is:

\(slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-5}{-2-2}=\frac{3}{2}\)

Using the equation a straight line:

y = mx + b; substituting gives:

y = (3/2)x + 2