Two bicycles head toward each other from opposite ends of a freeway 364 miles long. If the speed of the first bicycle is 15 miles per hour and the speed of the second bicycle is 11 miles per hour, how long will it take before the bicycles pass each other?
hours

The product of given numbers is 384400.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Given that, the moon is in an orbit around the earth, and the length of this

orbit is 3.844×100,000 kilometers.

Here, 3.844 multiplied by 1 we get 3.844

When multiplying decimals by 100000, the digits shift five places to the left.

That is, 384400.0

Therefore, the product of given numbers is 384400.

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The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.

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We need 4608 cubes to fill the rectangular prism.

We have,

The rectangular prism has a volume of:

Volume = length x width x height

Volume = 8 in. x 4 in. x 2 1/4 in.

Volume = 72 in³

Each cube has a volume of:

Volume of cube = edge length³

Volume of cube = (1/4 in.)³

Volume of cube = 1/64 in³

To find the number of cubes needed to fill the rectangular prism, we can divide the volume of the prism by the volume of each cube:

Number of cubes = Volume of prism / Volume of a cube

Number of cubes = 72 in³ / (1/64 in³)

Number of cubes = 72 in³ x 64 / 1

Number of cubes = 4608 cubes

Therefore,

We need 4608 cubes to fill the rectangular prism.

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Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

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Answer:

3 dollars

Step-by-step explanation:

The area of the shaded region = 30.903 in²

From the attached figure we can observe that the radius of the circle R is r = 6 in.

Using the forula for the area of circle, the area of circle R would be,

A₁ = πr²

A₁ = π × 6²

A₁ = 36π

A₁ = 113.097 in²

So, the diameter would be d = 6 × 2 = 12 in.

The circle R is inscribed in a square.

So, the side length of square is equal to the diameter of the circle.

This means the side length 'a' os square = 12 in.

Using the formula of the area of square,

A₂ = side²

A₂ = a²

A₂ = 12²

A₂ = 144 in²

so, the area of the shaded region would be,

A = A₂ - A₁

A = 144 -113.097

A = 30.903 in²

This is the required area.

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Answer: 27.2

Step-by-step explanation:

\(\sin 54^{\circ}=\frac{22}{x}\\\\x \sin 54^{\circ}=22\\\\x=\frac{22}{\sin 54^{\circ}} \approx \boxed{27.2}\)

The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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Answer:

im pretty sure false. ......... ....................

The bell-shaped curve, also known as a Gaussian curve or a symmetrical distribution , showcases a central peak with data symmetrically distributed around it .

Revered for its iconic shape, the bell curve enchants the discerning observer with its symmetrical countenance, reminiscent of a resonant chime.

This majestic distribution unveils its true essence through its discernible apex, a testament to central tendency , where the mean, median, and mode converge, bestowing upon it an air of distinction .

The rough sketch of the curve having the bell shape is shown attached to the question.

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Answer:

\(x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}\)

Step-by-step explanation:

Given trigonometric equation:

\(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)

To solve the equation for x in the given interval [0, 2π), first rewrite the equation in terms of sin x and cos x using the following trigonometric identities:

\(\boxed{\begin{minipage}{4cm}\underline{Trigonometric identities}\\\\$\tan \left(\dfrac{\theta}{2}\right)=\dfrac{1-\cos \theta}{\sin \theta}$\\\\\\$\csc \theta = \dfrac{1}{\sin \theta}$\\ \end{minipage}}\)

Therefore:

              \(2 \tan\left(\dfrac{x}{2}\right)- \csc x=0\)

\(\implies 2 \left(\dfrac{1-\cos x}{\sin x}\right)- \dfrac{1}{\sin x}=0\)

  \(\implies \dfrac{2(1-\cos x)}{\sin x}- \dfrac{1}{\sin x}=0\)

\(\textsf{Apply the fraction rule:\;\;$\dfrac{a}{c}-\dfrac{b}{c}=\dfrac{a-b}{c}$}\)

\(\dfrac{2(1-\cos x)-1}{\sin x}=0\)

Simplify the numerator:

\(\dfrac{1-2\cos x}{\sin x}=0\)

Multiply both sides of the equation by sin x:

\(1-2 \cos x=0\)

Add 2 cos x to both sides of the equation:

\(1=2\cos x\)

Divide both sides of the equation by 2:

\(\cos x=\dfrac{1}{2}\)

Now solve for x.

From inspection of the attached unit circle, we can see that the values of x for which cos x = 1/2 are π/3 and 5π/3. As the cosine function is a periodic function with a period of 2π:

\(x=\dfrac{\pi}{3} +2n\pi,\; x=\dfrac{5\pi}{3} +2n\pi \qquad \textsf{(where $n$ is an integer)}\)

Therefore, the values of x in the given interval [0, 2π), are:

\(\boxed{x= \dfrac{\pi}{3}, \;\;x=\dfrac{5 \pi}{3}}\)

Answer:

\(\frac{75}{1}+15e^-\cdot \:0.4x=25\quad :\quad x=-\frac{25}{3};\quad \ne \mathrm{True},\:e\ne \:0\quad \left(\mathrm{Decimal}:\quad x=-8.33333\dots \right)\)

Step-by-step explanation:

\(\frac{75}{1}+15e^-\cdot \:0.4x=25\)

\(\mathrm{Apply\:rule}\:\frac{a}{1}=a\)

\(\frac{75}{1}=75\)

\(75+15\cdot \:0.4e^-x=25\)

\(\mathrm{Multiply\:the\:numbers:}\:15\cdot \:0.4=6\)

\(75+6e^-x=25\)

\(\mathrm{Subtract\:}75\mathrm{\:from\:both\:sides}\)

\(75+6e^-x-75=25-75\)

\(\mathrm{Simplify}\)

\(6e^-x=-50\)

\(\mathrm{Divide\:both\:sides\:by\:}6e^-;\quad \ne \mathrm{True}\)

\(\frac{6e^-x}{6e^-}=\frac{-50}{6e^-};\quad \ne \mathrm{True}\)

\(\mathrm{Simplify}\)

\(e^{ }x=-\frac{25}{3e^-};\quad \ne \mathrm{True}\)

\(\mathrm{Divide\:both\:sides\:by\:}e;\quad \ne \mathrm{True},\:e\ne \:0\)

\(\frac{e^{ }x}{e}=\frac{-\frac{25}{3e^-}}{e};\quad \ne \mathrm{True},\:e\ne \:0\)

\(\mathrm{Simplify}\)

\(\frac{x}{e}=-\frac{25}{3e^1};\quad \ne \mathrm{True},\:e\ne \:0\)

\(\mathrm{Multiply\:both\:sides\:by\:}e\)

\(\frac{xe}{e}=\left(-\frac{25}{3e^1}\right)e;\quad \ne \mathrm{True},\:e\ne \:0\)

\(\mathrm{Simplify}\)

\(x=-\frac{25}{3};\quad \ne \mathrm{True},\:e\ne \:0\)

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

\(b = \sqrt{ {95}^{2} + {60}^{2} - 2 \times 60 \times 95 \times \cos(70) } = 93.4\)

Answer:

75 banci si 150 scaune

Step-by-step explanation:

Ce stim:

1 clasa → 15 banci si 30 scaune

Ce aflam in modul 1:

5 clase → (15+15+15+15+15) banci si (30+30+30+30+30) scaune

Raspuns:

5 clase → 75 banci si 150 scaune

Ce aflam in modul 2:

5 clase → 15·5 = 75 banci si 30·5 = 150 scaune

Raspuns:

5 clase → 75 banci si 150 scaune

Answer:

£1.44

Step-by-step explanation:

N1 = £0.12

N12 = 12 × N1 = 12 × £0.12 = £1.44

Option c. $400 is the correct answer. The marginal revenue product of the fourth worker is $400.

The efficient organizations compare to its competitor generates higher marginal revenue product at each level of labour input. They invest heavily in training, skilling, and re-skilling their labour force with a transparent organizational culture.

The incremental total revenue earned for additional labour recruited is termed as marginal revenue product. The marginal revenue product of the fourth worker is calculated as under

The total revenues generated by employing three labourers is $1,120

The total revenues generated by employing four labourers is $1,520

Marginal revenue product of the fourth worker = Total revenues generated by employing four labourers - Total revenues generated by employing three labours

=$1,520 - $1,120

=$400

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Answer:

x - 51 \(\leq\) 43

x - 99 \(\leq\) -104

75 < 69 - x

150 + x ≤ 144

Step-by-step explanation:

We need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 Percent confidence is 170.

To find the sample size to estimate the mean with an error of +4 and 95 percent confidence, we need to use the formula:

n = [(z*sigma)/E]^2

Where:
n = sample size
z = z-score for 95% confidence level (which is 1.96)
sigma = standard deviation (unknown in this case)
E = maximum allowable error (which is +4 in this case)

We are given that o=12, which is the population standard deviation. Since we do not have any information about the sample standard deviation, we can use the population standard deviation as an estimate. Therefore, we can substitute o=12 in the above formula to get:

n = [(1.96*12)/4]^2
n = 169.64

Since we need to round up to the next higher integer, the sample size required to estimate the mean with an error of +4 and 95 percent confidence is 170.

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Answer:

pp

Step-by-step explanation:

Answer:

  48.8 lbs

Step-by-step explanation:

The forces can be modeled by a triangle with acute angles 20° and 26°, and obtuse angle 134° opposite a side of length 80. The larger component force will be opposite the angle 26°, and can be found using the Law of Sines:

  a/sin(A) = c/sin(C)

  x/sin(26°) = 80/sin(134°)

  x = 80sin(26°)/sin(134°) ≈ 48.753 . . . . pounds

The larger component force is about 48.8 pounds.

Answer:

0.288

Step-by-step explanation:

Given that :

Correlation (R) = 0.48

Slope of linear model which predicts Lifespan from years of education (m) = 0.8

To determine the value of slope of the model which predicts years of eductauoon from lifespan:

The square of the regression Coefficient is multiplied by the inverse of the slope of linear model which predicts Lifespan from years of education

Hence,

(R² * 1/m)

0.48² * 1/0.8

0.2304 * 1.25

= 0.288

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

False

Step-by-step explanation:

1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4

Answer:

Step-by-step explanation:

BRUH YOU STUPID

Answer:

0

\( \\ solution \\ - 2( -5) - 7 + 1( - 3) \\ = 10 - 7 + ( - 3) \\ = 10 - 7 - 3 \\ = 3 - 3 \\ = 0 \\ hop \: it \: helps...\)

Answer:

. Have a goodnight.

Answer:

the numbers are 8 and 3.