Determine the probability of having 1 girl and 3 boys i a 4 child family assuming boys and girls are equally likely

Differentiate x and y with respect to t :

[tex]x = e^{\sec(2t)} \implies \dfrac{dx}{dt} = e^{\sec(2t)} \dfrac{d(\sec(2t))}{dx} = 2\sec(2t)\tan(2t) e^{\sec(2t)}[/tex]

[tex]y = e^{\tan(2t)} \implies \dfrac{dy}{dt} = e^{\tan(2t)} \dfrac{d(\tan(2t))}{dx} = 2\sec^2(2t) e^{\tan(2t)}[/tex]

By the chain rule,

[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]

Then

[tex]\dfrac{dy}{dx} = \dfrac{2\sec^2(2t) e^{\tan(2t)}}{2\sec(2t)\tan(2t) e^{\sec(2t)}} = \dfrac{\sec(2t) e^{\tan(2t)}}{\tan(2t) e^{\sec(2t)}} =\dfrac{y \sec(2t)}{x\tan(2t)}[/tex]

and we have

[tex]\log(x) = \sec(2t)[/tex]

[tex]\log(y) = \tan(2t)[/tex]

and the claim follows.

Answer:

11

Step-by-step explanation:

h = 15 yards

Volume = 475.17 cubic yards

Diameter = 5.5*2 = 11.0 = 11 yards

Answer:

13/6 is the improper fraction

Step-by-step explanation:

Step 1:  Convert the whole number into a fraction

2 is a whole number which replicates two 6/6's which adds up to 12/6

Step 2:  Combine the two fractions

12/6 + 1/6

13/6

Answer:  13/6 is the improper fraction

Answer:

13/6

Step-by-step explanation:

6/6 = 1

12/6 = 2

12/6 + 1/6 =13/6

Answer:

120 are left

Step-by-step explanation:

to get how many seats that are left you will multiply grand total of all the seats times percent filled over 100. see below

300 × 60/100

=3 × 60

=120 seats that are left

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Answer:

not enough information was provided

Step-by-step explanation:

However, The answer is B

The general equation of a circle is (x-h)²+(y-k)² = r². The equation of circle A is (x+4)²+(y+2)²=9.

The general equation of a circle is given as,

(x-h)²+(y-k)² = r²

Where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle,

Given that the four points that lie on the circle are  (-4,1), (-1,-2), (-4, -5) and (-7,-2), and also the centre of the circle is at (-4,-2). Therefore, the radius of the circle will be the distance between the centre of the circle and any point lying on the circle.

[tex]\rm \text{Radius of the circle} = \sqrt{[(-4)-(-4)]^2+[(-2)-(1)]^2}\\\\\text{Radius of the circle} = \sqrt{(0)^2+(-3)^2}\\\\\text{Radius of the circle} = 3\ units[/tex]

Since the coordinate of the centre point of the circle is (-4,-2), while the radius of the circle is 3 units, therefore, the equation of the circle can be written as,

[tex][x-(-4)]^2+[y-(-2)]^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 3^2\\\\(x+4)^2+(y+2)^2 = 9[/tex]

Hence, the equation of circle A is (x+4)²+(y+2)²=9.

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well, if it was 300 and now is 350, it went up by 50 bucks, that's the inflation amount.

if we take 300 to be the 100%, what is 50 bucks off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 300 & 100\\ 50& x \end{array} \implies \cfrac{300}{50}=\cfrac{100}{x}\implies 6=\cfrac{100}{x} \\\\\\ 6x=100\implies x=\cfrac{100}{6}\implies x=\cfrac{50}{3}\implies x\approx 16.7[/tex]

Answer:

1/6 or 0.167

Step-by-step explanation:

First understand that 4 x 1/4 is equal to 1, then replace it in the equation

1 - 5/6

Turn the whole number into a fraction that can be computed

6/6 - 5/6

Solve the equation

6/6 - 5/6 = 1/6

If you need it as a decimal enter it in a calculator and get

0.16666666667

Since the 6 is repeating you can just round that to

0.167

Answer:

(90 - 2x)°

Step-by-step explanation:

complimentary angles sum to 90° , then

the compliment of 2x° is (90 - 2x)°

Answer:

(90 - 2x)°

Step-by-step explanation:

We say that two angles are complementary if their measures add up to 90°

The  complement of an angle that measures 2x is the angle of measure

(90 - 2x)°

because 2x + (90-2x) = 90

The mass of 2 bags, which is filled by Lynn each with 2 kilograms 450 grams of sand, is less than 5 kilograms.

Weight measurement is the measurement of the heaviness of a object. The units of weight measurement are pounds, grams, kilograms etc.

There is total 1000 grams in one kilogram of weight measurement.

Lynn filled each of three bags with 2 kilograms, 450 grams of sand. There is total 1000 grams in one kilogram of weight measurement. Thus, the kilogram in 450 grams is,

[tex]x=\dfrac{450}{1000}\\x=0.45\rm\; kg[/tex]

Thus, weight in one bag is,

[tex]W=2+0.45\\W=2.45\rm\; kg[/tex]

The weight in two bags is,

[tex]2W=2.45+2.45\\2W=4.9\rm\; kg[/tex]

The weight of 4.9 kg is less than the 5 kilogram..

Thus, the mass of 2 bags, which is filled by Lynn each with 2 kilograms 450 grams of sand, is less than 5 kilograms.

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Find the slope of the tangent to the curve [tex]y=3+4 x^{2}-2 x^{3}[/tex] at the point where [tex]x=a\text{.}[/tex]

The derivative of a function can be determined using different rules and formulations. One of the important rules here is the power rule. Power rule is used to differentiate functions in the form of [tex]f(x) = x^n[/tex].

[tex]\; \dfrac{d}{dx} (x^n) = nx^{n-1}[/tex]

We are supposed to find the slope of the tangent to the curve [tex]y=3+4 x^{2}-2 x^{3}[/tex] at the point where [tex]x=a[/tex].

[tex]\implies \dfrac{d}{dx}(3+4x^2-2x^3)[/tex]

[tex]\implies \dfrac{d}{dx}(0+4(2x^{2-1})-2(3x^{3-1})[/tex]

[tex]\implies \dfrac{d}{dx}(0+4(2x)-2(3x^2)[/tex]

[tex]\implies \dfrac{d}{dx}(8x-6x^2[/tex]

Now plugging [tex]x=a[/tex] in the above equation, we obtain the following results:

[tex]\implies \boxed{8a -6a^2}[/tex]

Hence, this is our required solution for this question.

Answer:

Step-by-step explanation:

A=1

B=41

C=3

Answer:

xy + y² + 3y + x + 2

Step-by-step explanation:

(x + y + 2)(y + 1)

xy + y² + 2y + x + y + 2

xy + y² + 3y + x + 2

No more like terms, so this is final answer

Answer:

This is the answer I understood and got.

B. Yes. There is a constant of proportionality of $4.50.

Step-by-step explanation:

When you divided 9/2, you get 4.5

When you divide 22.5/5, you get 4.5

When you divide 31.5/7, you get 4.5

* REMEMBER IT'S ASKING DO THE NUMER OF GAMES AND PRICE FOR A PROPORTIONAL RELATIONSHIP *

So, y= 4.5x

Answer:

B

Step-by-step explanation:

840÷8=105

Answer: (0,3)

Step-by-step explanation:

(x,y) -> (1/2x , 1/2y)

(0,6) -> (1/2 • 0, 1/2 • 6)

=(0,3)

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i hope this helps, brainliest please <3

Answer:

Since x = 3, y = 1 is the solution of

x – 4y + p = 0 …………….. (i)

2x + y – q – 2 = 0 …………… (ii)

So, x = 3, y = 1 must satisfy both (i) and (ii).

⇒ 3 – 4(1) + p = 0 ⇒ p = 1.

and 2(3) + (1) – q – 2 = 0 ⇒ q = 5

Since, 1 = – 4 + 5

∴ p = 1 = – 4 + 5

= q – 4

⇒ p = q – 4

the answer is 10.3, just search up how to solve percentage word problems

The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65

The distribution of the fruits is given as:

The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is:

P = (Apple + Pineapple)/Total

This gives

P = (12 + 21)/(21 + 12 + 18)

Evaluate

P = 0.65

Hence, the probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65

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Answer:

0.5km

Step-by-step explanation:

[tex]1km = 1000m \\ x = 50m \\ \\ 50m \times 1km = x \times 1000m \\ x = 0.5km[/tex]

length= 15cm

width= 7cm

area of the rectangle.

area of rectangle= length × width

a= l × w

a= 15 × 7

= 105 cm^2

Answer:

105 cm²

Step-by-step explanation:

The formula to find the area of a rectangle is :

Area = length × width

Given that,

length ⇒ 15 cm

width ⇒ 7 cm

Let us solve it now.

Area =  length × width

Area = 15 × 7

Area = 105 cm²

Answer:

The answer is 2 x-intercepts

Step-by-step explanation:

To determine the x-intercepts we set y to zero and solve for x:

y=0

(x-8)(x+3)^2=0

The product of 2 factors is 0 means that one of them must be 0:

x-8=0 ⇒ x=8        →first x-intercept

or (x+3)^2=0 ⇒ x+3=0 ⇒ x=-3         →second x-intercept

Therefore the polynomial function two roots, so it has two x-intercepts x=8 and x=-3

Hope this helps :)

Answer:

Polynomials of odd degree have an even number of turning points, with a minimum of 0 and a maximum of n−1 . Polynomials of even degree have an odd number of turning points, with a minimum of 1 and a maximum of n−1 .

Step-by-step explanation:

Answer:

SA = 16 units^2

Step-by-step explanation:

B - base

H - height

SA - surface area

B = 2

H = 3

SA = (B × B) + 4((1/2)×(B × H))

SA = (2×2) + 4((1/2)×(2×3))

SA = 16 units^2

Answer:

Minus 9.09090909% decrease

Answer:

18 3/4 kg of rice

Step-by-step explanation:

Start

Day 1

Day 2

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