The ratio of (blank) to the total is (blank)

Answer:

3

Step-by-step explanation:

9+3=12

Answer:

3

Step-by-step explanation:

plz give brainliest bc this is right uwu

Answer: x>15

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality:

          (56/10)+(22/10)*x-((656/10)-(18/10)*x)>0  

Simplify   9/5

  56  22      656  9

 (——+(——•x))-(———-(—•x))  > 0  

  10  10      10   5

Simplify 328/5

  56  22      328 9x

 (——+(——•x))-(———-——)  > 0  

  10  10       5  5  

Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

328 - (9x)     328 - 9x

——————————  =  ————————

    5             5    

  56/10+22/10.x/5)) >0      (328 - 9x)

Simplify  11/5

  56/10+11/5.x/5))->0 (328-9x  

Simplify 28/5

  28    11x     (328 - 9x)

 (—— +  ———) -  ——————————  > 0  

  5      5          5      

Adding fractions which have a common denominator

     Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

28 + 11x     11x + 28

————————  =  ————————

   5            5    

:

 (11x + 28)    (328 - 9x)

 —————————— -  ——————————  > 0  

     5             5      

Adding fractions which have a common denominator

       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(11x+28) - ((328-9x))     20x - 300

—————————————————————  =  —————————

          5                   5    

   Pull out like factors :

  20x - 300  =   20 • (x - 15)  

 20 • (x - 15)

 —————————————  > 0  

     Multiply both sides by  5  

   Divide both sides by  20  

Solve Basic Inequality :

  Add  15  to both sides

            x > 15

Answer:

.

Step-by-step explanation:

.

cut 6 into half's and spit the last into 7th's

Answer:

Each point is 4 units away from the y-axis.

Step-by-step explanation:

Coordinates of point (x, y) defines the distance of the point from y-axis and x-axis.

x-coordinate → distance from the y-axis

y-coordinate → distance from x-axis

Coordinates of A → (-4, 3)

Coordinates of B → (-4, -3)

So both the points have same x-coordinates but opposite y-coordinates.

Therefore, each point is 4 units away from the y-axis.

Answer:

D im not sure but i hope its right

Step-by-step explanation:

You're right its the answer is C

Answer:

Same

Step-by-step explanation:

Answer:

W=90

Step-by-step explanation:

THERES a box

Answer:

2nd option

Step-by-step explanation:

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

A circle is 360 degrees so 360 = b + 96 + 209

360 = b + 305

b = 55 degrees.

The option that serves as a parent function from the given option is Df(x)=4^x.

A parent function can be described as the function that is having the simplest function  which can be seen to have satisfied the definition of a certain type of function.

From the options,  we were given the function f(x)=4x^2 which is the first option, we can see that it is not a parent function because it have a shrink factor of 1/4 same techniques applies to other options , which made us to see that 4^x is a parent function.

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1

is the correct answer lol ez stuff

Answer: I think its 39

Step-by-step explanation: I did the math

Jan's starting number was 10.

A number is an arithmetic value used for representing the quantity and used in making calculations.

Given that Jan doubled her starting number, added 5, subtract 7, divided by 3, then squared the result.

Let her original number be x

Therefore, {(2x +5 - 7)/3}² = 36

{(2x -2)/3}² = 36

(2x -2)/3 = 6

2x - 2 = 18

2x = 20

x = 10

Hence, Jan's starting number was 10.

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\(\begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{\stackrel{\textit{we'll be using this one}}{\downarrow }~\hfill }{log_a a^x = x\qquad \qquad a^{log_a x}=x} \end{array}\)

\(\textit{Logarithm Change of Base Rule} \\\\ \log_a b\implies \cfrac{\log_c b}{\log_c a}\qquad \qquad c= \begin{array}{llll} \textit{common base for }\\ \textit{numerator and}\\ denominator \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(2^{0.5x}=10\implies \log_2\left( 2^{0.5x} \right)=\log_2(10)\implies 0.5x=\log_2(10) \\\\\\ \cfrac{x}{2}=\log_2(10)\implies x = 2\log_2(10)\implies x = \log_2(10^2)\implies x = \log_2(100) \\\\\\ \stackrel{\textit{using the change of base rule}}{x = \cfrac{\log(100)}{\log(2)}\implies x = \cfrac{2}{\log(2)}}\implies x\approx 6.644\)

as far as the domain, or namely what values "x" can take on safely, I don't see any constraints, so it must be (-∞ , +∞).

The result of engaging in the row multiplication operation in a matrix would be [ 1 /2   0 | 3 / 4 ]

[ -1   5 | 4 ].

First, you should multiply the first row by the value given of 1 / 4 to be:

( 1 / 4 ) x 2 = 1 / 2

( 1 / 4 ) x 0 = 0

( 1 / 4 ) x 3 = 3 / 4

Then you can replace the values found by the values in the matrix to be :

[ 1 / 2   0 | 3 / 4 ]

[   - 1     5 | 4      ]

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To find the polar equation of a conic with focus at the pole, directrix y=3, and eccentricity of 2, we can use the definition of a conic in polar coordinates.

The general form of the polar equation for a conic with focus at the pole is given by:

r = \(\frac{ed}{1+e\cos(\theta-\theta_0)}\)

Where:

- r is the distance from the origin (pole) to a point on the conic.

- e is the eccentricity.

- d is the distance from the pole to the directrix.

- θ is the angle between the polar axis and the line connecting the pole to a point on the conic.

- θ_0 is the angle between the polar axis and the line connecting the pole to the focus.

In this case, the focus is at the pole, so θ_0 = 0. The directrix is y = 3, which means its distance from the pole is d = 3. The eccentricity is given as 2, so e = 2.

Substituting these values into the general equation, we get:

r =\(\frac{2\cdot3}{1+2\cos(\theta-0)}\)

Simplifying further:

r =\(\frac{6}{1+2\cos(\theta)}\)

Therefore, the polar equation of the conic with focus at the pole, directrix y=3, and eccentricity of 2 is:

r =\(\frac{6}{1+2\cos(\theta)}.\)

This equation describes the shape of the conic in polar coordinates, where r represents the distance from the origin to a point on the conic, and θ represents the angle between the polar axis and the line connecting the origin to the point.

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Answer:

1.2 pounds of chicken per serving.

Step-by-step explanation:

4 and 4/5 of pounds of chicken for serving of 4.

We can also write this as 4.8 pounds of chicken.

To find how much pound of chicken will be needed for a single serving we have to divide 4.8 by 4.

\( \frac{4.8}{4} = 1.2 \: pounds \: of \: chicken\)

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The base of the function given 2(4)ˣ+5 is 4ˣ

The base of an exponential function. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. Base 1. If f(x) is an exponential function whose base equals 1 – that is if f(x)=1x.

Given is a function, 2(4)ˣ+5, we need to find the base of the function,

With the multiplication of 4ˣ with 2, the rate at which f(x) changes is 2 times larger. Now it is added by 5, by adding 5 the value of f(x) is always 5 greater than the value of f(x).

This reverses the value of y for each corresponding value of x and increases the rate at which f(x) changes 8 times that of the original function.

Hence, the base of the function given 2(4)ˣ+5 is 4ˣ

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Answer:

20

Step-by-step explanation:

12/x = 3/5

12 = 3*4

20 = 5*4

Answer: x=-1

Step-by-step explanation:

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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Answer: x=y+5

Step-by-step explanation:

Y=x-5

(+5)Y=X-5(+5)

y+5=x

Answer: (1/6)^2

Step-by-step explanation:

Answer:

The third answer is correct

Step-by-step explanation:

Use the properties of degrees:

1)

\( {( \frac{1}{108} })^{3} = \frac{ {1}^{3} }{ {108}^{3} } = \frac{1}{6561} \)

\( \frac{1}{6561} ≠ \frac{1}{36} \)

.

2)

\( ({ \frac{1}{9} })^{3} = \frac{ {1}^{3} }{ {9}^{3} } = \frac{1}{729} \)

\( \frac{1}{729} ≠ \frac{1}{36} \)

.

3)

\( ({ \frac{1}{6} })^{2} = \frac{ {1}^{2} }{ {6}^{2} } = \frac{1}{36} \)

\( \frac{1}{36} = \frac{1}{36} \)

Answer:

To solve the equation sin 2x = 4cos 2x, we can use the trigonometric identity:

sin 2x = 2sin x cos x

cos 2x = cos^2 x - sin^2 x = 1 - 2sin^2 x

Substituting these identities into the equation, we get:

2sin x cos x = 4(1 - 2sin^2 x)

Expanding and simplifying, we get:

2sin x cos x = 4 - 8sin^2 x

Rearranging, we get:

8sin^2 x + 2sin x cos x - 4 = 0

We can factor the left-hand side of this equation:

(2sin x - 1)(4sin x + 4) = 0

Setting each factor equal to 0 and solving for sin x, we get:

2sin x - 1 = 0 or 4sin x + 4 = 0

sin x = 1/2 or sin x = -1

If sin x = 1/2, then x is a multiple of π/6, so the general solution in this case is:

x = π/6 + 2πn or x = 5π/6 + 2πn

Where n is an integer.

If sin x = -1, then x is a multiple of π plus an odd multiple of π/2, so the general solution in this case is:

x = π/2 + πn

Where n is an integer.

Therefore, the general solution for sin 2x = 4cos 2x is:

x = π/6 + 2πn or x = 5π/6 + 2πn or x = π/2 + πn

Where n is an integer.