What ratios are equivalent to 10:12

(a) The count is found to be 12, so ψ(25, 3) = 12.

(b) There are 22 numbers that satisfy this condition, so ψ(35, 5) = 22.

(c) There are 32 numbers that satisfy this condition, so ψ(50, 7) = 32.

(b)There are 53 numbers that satisfy this condition, so ψ(100, 5) = 53.

(e) There are 54 numbers that satisfy this condition, so ψ(100, 7) = 54.

(a) ψ(25, 3): The notation ψ(X, B) represents the count of B-smooth numbers (numbers with only prime factors less than or equal to B) between 2 and X.

For this case, we are looking for the number of 3-smooth numbers between 2 and 25. The 3-smooth numbers are those that can be factored into prime factors of 2 and/or 3 only.

By listing the numbers between 2 and 25 and checking their prime factorization, we can count the numbers that have only 2 and/or 3 as factors. The count is found to be 12, so ψ(25, 3) = 12.

(b) ψ(35, 5): Similarly, we are looking for the number of 5-smooth numbers between 2 and 35.

These are the numbers that can be factored into prime factors of 2, 3, and/or 5 only.

By checking the prime factorization of the numbers between 2 and 35, we find that there are 22 numbers that satisfy this condition, so ψ(35, 5) = 22.

(c) ψ(50, 7): Here, we are interested in the count of 7-smooth numbers between 2 and 50.

These are the numbers that can be factored into prime factors of 2, 3, 5, and/or 7 only.

By checking the prime factorization of the numbers between 2 and 50, we find that there are 32 numbers that satisfy this condition, so ψ(50, 7) = 32.

(d) ψ(100, 5): For this case, we are looking for the count of 5-smooth numbers between 2 and 100.

These are the numbers that can be factored into prime factors of 2, 3, and/or 5 only.

By checking the prime factorization of the numbers between 2 and 100, we find that there are 53 numbers that satisfy this condition, so ψ(100, 5) = 53.

(e) ψ(100, 7): Lastly, we are interested in the count of 7-smooth numbers between 2 and 100.

These are the numbers that can be factored into prime factors of 2, 3, 5, and/or 7 only.

By checking the prime factorization of the numbers between 2 and 100, we find that there are 54 numbers that satisfy this condition, so ψ(100, 7) = 54.

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The lifting force if the speed is 220 miles per hour is F' = 708.53 N.

The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.

The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.

We have,

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,

\(F=kAv^{2}\)

Where

k is constant

If, A = 190 Ft², v = 220 mph, F = 950 pounds

Now, find k first from the above data. So,

    \(k=\frac{F}{Av^{2} }\)

⇒ \(k=\frac{950}{190* (220)^2}\)

⇒ k = 0.0001033

It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.

Let F' is a new force. So,

    F' = 0.0001033 × 190 × (190)²

⇒ F' = 708.53 pounds.

So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.

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Answer:

\(\frac{4}{4} ,\frac{5}{5}\)

Step-by-step explanation:

In order to find the answer to this question you need to remember that if the denominator and the numerator are the same they equal one or one whole.

\(\frac{2}{2} =1\)

\(\frac{3}{3}=1\)

\(\frac{4}{4}=1\)

\(\frac{5}{5} =1\)

As long as the numerator and the denominator are the same they will be equivalent to 2/2 and 3/3.

Hope this helps.

Answer:

9

Step-by-step explanation:

if you go to the left 6 and go up 3 you will be there

Answer:

3squareroot5 approximately = 6.7

Step-by-step explanation:

There is such a thing as a distance formula. But you could also just use Pythagorean theorem since you have a graph to look at (looking at a sketch often helps) Also, the distance formula actually literally comes from the Pythagorean theorem. See image.

Answer:

y = 2/3x - 7

Explanation:

First we must turn 3x + 2y = 6 to slope intercept form. In order to do this first subtract 3x on both sides of the equal sign, so we can get 2y by its self. Now we're left with 2y = -3x + 6 .

Next divide 2 from both sides to get y by its self. Now you got y = -3/2x + 3 (since 6 can be divided by 2 it's a 3 now) Look above to see y= -3/2x +3 graphed. ⤴⤴⤴

To find out the other equation we first need to know what its y-intercept is, and luckily for us we've already been given -3.

Look above to see (6,-3) graphed. ⤴⤴⤴

Look above to see both y = -3/2x + 3 and

y = 2/3x -7 graphed. ⤴⤴⤴

This is a bit lengthy, but I hope you get it :)

Answer:

24 cans=72 people

1 people = 24÷72 cans

39 people = 24÷72×39 cans

=13 cans

The ring R is said to consist of all functions f(x) that have an expression of the form f(x).

The given ring of trigonometric polynomials, R, consists of all the functions that have an expression of the form f(x). The expression f(x) is defined as below:f(x) = a0 + a1cos(x) + b1sin(x) + a2cos(2x) + b2sin(2x) + a3cos(3x) + b3sin(3x) + … + ansin(n*x) + bnsin(n*x)where n is a non-negative integer, and the coefficients a0, a1, b1, a2, b2, a3, b3, an, and bn are real numbers.In this way, every element of R is expressed as a trigonometric polynomial, and every trigonometric polynomial belongs to R. So, the ring R is said to consist of all functions f(x) that have an expression of the form f(x).Hence, this is the required proof.

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Answer:

A negative exponent involves taking the inverse of the number, then multiplying it by itself once it's in the denominator of the fraction.

Answer:

  0.75

Step-by-step explanation:

Put the number where the variable is and do the arithmetic.

  3(1.5² -2) = 3(2.25 -2) = 3(0.25) = 0.75

Answer: She had left 54% of the money which is $1620.

Step-by-step explanation:

40% of $3000 = $1200

15% of $1200 = $180

$3000 - ($1200 + $180)

$3000 - $1380 = $1620

$1620 is the money she had left.

$1620 is 54% of $3000

She had 54% left of the money.

Hope that helped~!

Answer:

x/7<-3

x<-21

Step-by-step explanation:

x/7<-3

multiply the seven to get rid of x denominator

x<-21

Answer:

x/7<-3x<-21

Step-by-step explanation:

HOPE IT HELPS :)

Without any further information or clarification on the angle or its context, it is not possible to provide a specific numerical value for cos 28728°.

The trigonometric function cosine (cos) is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. However, the given angle of 28728° is not within the range of standard angles typically used in trigonometry (0° to 360°). As such, we cannot directly compute the cosine of this angle using traditional trigonometric methods.

It is worth noting that 28728° is an extremely large angle, far beyond the usual range of angles encountered in mathematics and real-world applications. In this case, it is possible that the angle was specified incorrectly or there was a typographical error.

If there is additional information or if the angle is corrected or rephrased within a valid range, I would be happy to help you compute the cosine or provide any other relevant information.

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Answer:

  80°

Step-by-step explanation:

The sum of the measures of the acute angles in a right triangle is 90°. The sum of ratio measures in the ratio 8 : 1 is (8+1) = 9. Thus, each of those measures stands for 90°/9 = 10°. Then the angle ratio is ...

  80° : 10° = 8 : 1

The measure of the largest acute angle in the triangle is ...

  10° × 8 = 80°

B. Yes, because all of the pairs represent the same ratio

Answer:

yes it is B

Step-by-step explanation:

because all of the numbers divided equals 2

Answer:

NO

Step-by-step explanation:

Substituting 2 in X do not bring (8,1)

Answer:

Hi

Step-by-step explanation:

Answer:

\(c=325m\)

Step-by-step explanation:

Hope this helps

Answer:

C) 2

Step-by-step explanation:

14 = 4x + 6

14 - 6 = 4x

8 = 4x

8/4 = x

2 = x

Answer:

£160

Step-by-step explanation:

Ammount he receives per year times 4.

800 x 0.05 x 4

= £160

Answer:

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

Arrange the data in the ascending order:

The minimum is 23, the maximum is 61, the median is 43 as both the middle numbers are 43.

The lower quartile is the median of the lower half of the data:

The upper quartile is the median of the upper half of the data:

Interquartile range is the difference of upper and lower quartiles:

You can easily sketch a box plot by using the 5-number summary:

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Therefore, Drug C has a stronger impact on cell survival compared to Drug A, making it the drug with the greatest effect.

To draw a representation of the survival curve and identify the drug that has the greatest effect on cell survival, we can use a graph where the x-axis represents the drug concentration in μg/ml, and the y-axis represents the percentage of cell survival.

Since Drug B has no IC90 value, it means that it does not reach a concentration that causes a 90% reduction in cell survival. Therefore, we can assume that Drug B has no significant effect on cell survival and can omit it from the survival curve.

For Drug A and Drug C, we have IC90 values of 5 and 3 μg/ml, respectively. This means that when the drug concentration reaches these values, there is a 90% reduction in cell survival.

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The nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

Given the 13th unit requires 87 minutes and 26th unit requires 64 minutes.To find the estimated time required by the 50th unit, we need to use the equation of the linear equation of the line.Let's find the value of m (slope).`m = (64 - 87)/(26 - 13)m = -23/13`Let's find the value of b (y-intercept).`b = 87 - (-23/13) × 13b = 87 + 23b = 110`

Therefore, the equation of the line can be written as:y = -23/13 x + 110Let's substitute the value of x as 50 and find the value of y (time required by the 50th unit).`y = -23/13 × 50 + 110y = 47.31`Rounded to the nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

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Answer:

A) 0.421

Step-by-step explanation:

\(\frac{59}{59+68+12+1} =\frac{59}{140}\)

\(Answer:0.421\)

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

hope it helps...

have a great day!!

Answer:

b/c

Step-by-step explanation:

sin B = opp/hyp

sin B = b/c

They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.

According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.

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The magnitude or length of AB, represented as ||AB||, is calculated using the distance formula resulting in √101.

To sketch AB, plot the initial point A(8, -4) and the terminal point B(-2, -3) on a coordinate plane. Then, draw a line segment connecting these two points. The line segment AB represents the vector AB.

To write AB in component form, subtract the x-coordinates of B from the x-coordinate of A and the y-coordinates of B from the y-coordinate of A. This gives us the vector (-2 - 8, -3 - (-4)), which simplifies to (-10, 1). Therefore, AB can be represented as the vector (-10, 1).

To find the magnitude or length of AB, we can use the distance formula. The distance formula calculates the distance between two points in a coordinate plane. Applying the distance formula to AB, we have √((-2 - 8)² + (-3 - (-4))²). Simplifying the equation inside the square root, we get √(100 + 1), which further simplifies to √101. Thus, the magnitude or length of AB, denoted as ||AB||, is √101.

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Answer:

$44.00 + $85.00 = $129.00

Step-by-step explanation:

The least amount that she needs is $129.00 because we're summing the amount for food and House Rent.

Movies and Shopping are less important.

\(\huge\underline\color{skyblue}{Answer ☘}\)

let the number be x.

according to Question...

\( \frac{1}{8} x \leqslant 3 \\ x \leqslant 3 \times 8 \\ x \leqslant 24\)

hope helpful~