D. 20sworoSamiyah has been spending time practiciting her dance moves to get readyfor a dance competition at her school. On Tuesday, she danced for 45minutes, which was 5 times more that the amount of time she danced onMonday. How many minutes did Samiyah spend dancing on Monday?A. 9B.) 220C. 40D. 50

Answer:

Step-by-step explanation:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)

Lets look at the derivative part:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)

\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)

Substituting in eq(1), we have:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)

Answer:

A

Step-by-step explanation:

If we start from top to bottom all we have to do is check which ones are not equal.

The first one is

\(a^2(b+c) = a^3(\frac{b}{a}+c)\)
If we multiply is out we get

\(a^2b+a^2c = a^3*\frac{b}{a}+a^3c\\\text{which turns into}\\a^2b+a^2c=a^2b+a^3c\)

That is NOT equal to the other. Making the answer A.

Answers:

A, B, D, E

Nearly everything except choice C is true.

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

Explanation:

Annuities

It refers to a special form to accumulate interest over a regular payment or cash flow (C) per period.

Devon decides to save money for her retirement by depositing C=$524 each month in an account that is expected to earn interest with an APR of r=5.25% compounded monthly.

We will calculate the future value (FV) of her investment over a period of n=40 years.

The future value can be calculated with the formula:

Where i is the interest rate adjusted for the compounding period. Since there are 12 months in one year:

The number of periods is also adjusted for monthly compounding:

n = 40*12 = 480

Now apply the formula:

Calculating:

There will be $853,832.69 in Devon's retirement account in 40 years

Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

Answer:

False

Step-by-step explanation:

All trapezoids are quadrilaterals, not all quadralaterals are trapezoids.

Answer:

A quadrilateral is any shape with four sides. So yes a trapezoid is a quadrilateral.

Step-by-step explanation:

all work should be in the picture, lmk if theres anything confusing

Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

Answer:

11.49 Meters 1149 cm

Step-by-step explanation:

Step-by-step explanation:

By using exactly four 4s it is possible to write a few numbers: at least from 0 - 30.

=> For example, using exactly four 4s, we can write 1 as follows

1 = 44 / 44

The right hand side of the above equation has exactly four 4s and solving it will give 1.

=>Using exactly four 4s, we can write 2 as follows;

2 = (4/4) + (4/4)

Also, there are exactly four 4s in the right hand side of the above equation and solving it gives 2

=> Using exactly four 4s, we can also write 6 as follows;

6 = 4 x .4 + 4.4

The above equation also contains exactly four 4s which will give 6 when solved. i.e

(4 x .4) + 4.4 = (4 x 0.4) + 4.4 = 6

The expressions for numbers 1 through 10 using exactly four 4s have been tabulated and shown in the image attached to this response.

Answer:

The equation has one real number solution because the discriminant is 0.

Step-by-step explanation:

Formula: D = \(b^{2}\) - 4ac

\(\frac{1}{2} x^{2}+4x+8=0\)

⇒ a = 1/2, b = 4, c = 8

⇒ D = 4*4 - 4*0.5*8 = 16 - 16 = 0

⇒ The equation has one real number solution because the discriminant is 0.

Answer: B

Step-by-step explanation:

Answer:

The measure of C'T' after rotation of transformation is option (B) square root of 17 is the correct answer.

Step-by-step explanation:

What is a rotation transformation?

A rotation is a transformation that turns the figure in either a clockwise or counterclockwise direction on the coordinate plane.  In both transformations the size and shape of the figure stays exactly the same.

For the given situation,

The graph shows the triangle CAT.

If a rotation takes triangle CAT to C'A'T',

then from the definition of rotation transformation the size and shape of the figure stays exactly the same.

Thus the measure of C'T' is same as CT.

Hence we can conclude that the measure of C'T' after rotation of transformation is option (B) square root of 17 is the correct answer.

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Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

Answer:0.8p+1 and 1+0.8p

Step-by-step explanation:

0.5p+0.3p=0.8p

7-6=+1

0.8p+1

and

Swap both numbers

(0.5p+7)+(0.3p-6)=1+0.8p

We have a line:

And we draw its perpendicular bisector:

Then, any point on the bisector is equidistant to the endpoints of the line:

This is called: the perpendicular bisector theorem.

In this case we have that:

Since the line is the black one, the bisector is the purple one, then both red segments measure the same : 9.

Answer: BG = 9 (bisector theorem)

In this case, as we can observe in the image, the red lines are equidistant then CG = 10

Answer: CG = 10 (bisector theorem)

Answer:

1.75

Step-by-step explanation:

1. Algebraic equation: 8x - 9 = 5

2. Add 9 on both sides; 8x=14

3. Divide both sides by 8

4. x=1.75

Answer:

Number = 1/2

Step-by-step explanation:

9 - 8a = 5

9 - 5 = 8a

4 = 8a

4/8 = a

a = 1/2

Check:

9 - 8*1/2 = 5

9 - 4 = 5

Step-by-step explanation:

given

f(x)=6x+9

solve

6(6x+9)+9=0

36x+54+9=0

36x+63=0

36x=_63

36x/36 = _63/36

x=_63/36

Answer:

24 units

Step-by-step explanation:

6 times 8 =48

48 divided by 1/2 = 24

Answer:1/4x

Step-by-step explanation:

Hope it helped

Answer: D

Step-by-step explanation:

Remember the formula -

\(A = \pi\) × \(r^{2}\)

π = 3.14

\(r^{2}\) = 7

7² = 49

3.14 x 49 = 153.94

A = π · r² = π · 72 ≈ 153.93804

153.93804 ⇒ 154 (rounded)

Your answer is D.

Answer:

0.44164

Step-by-step explanation:

Given that :

Mean (λ) = 3.4

probability that more than 3 bankruptcies occur next month

Using the poisson distribution formula :

P(x ; λ) = P[(e^-λ) * (λ^x)] ÷ x!

Probability of obtaining more than 3 bankruptcies :

To save computation time, we can use the poisson distribution calculator :

P(x >3 ; λ = 3.4)

P(x > 3) = 0.44164

P(x > 3) = 0.44164

a)The probability Space, S = {(1,1) (1,2) (1,3) (1,4) (1,5) (1,6), (2, 1) (2, 2) (2,3) (2,5) (2,4),(2,6), (3,1) (3,2) ,(3,3), (3,4) (3,5)(3,6), (4,1) (4,2) (4,3) (4,4) (4,5) (4,6), (5,1) (5,2) (5,3) (5,4) (5,5) (5,6),(6,1) (6,2) (6,3) (6,4) (6,5) (6,4), (6,5),(6,6)}

b) i) Probability that the sum of the rolls is even, P(A) = 0.5

ii)Probability that first roll is equal to the second, P(B) 0.166

iii) Probability that the first roll is larger than the second, P(C) = 0.4166.

We have a pair of dice are rolled, then the Sample space is same as probability space.

a) The probability space , S is a non-empty set contains all possible outcomes. The probability space is written as

S = {(1,1) (1,2) (1,3) (1,4) (1,5) (1,6), (2, 1) (2, 2) (2,3) (2,5) (2,4),(2,6), (3,1) (3,2) ,(3,3), (3,4) (3,5)(3,6), (4,1) (4,2) (4,3) (4,4) (4,5) (4,6), (5,1) (5,2) (5,3) (5,4) (5,5) (5,6),(6,1) (6,2) (6,3) (6,4) (6,5) (6,4), (6,5),(6,6)}

b) Total possible outcomes from rolling = 36

Let us consider the events,

A : sum of the rolls is even

B : first roll is equal to the second

C : first roll is larger than the second.

Now, favourable outcomes for event A = 18

i) Probability (Sum is even), P( A) = 18/36

= 0.5

Favourable outcomes for event B = 6 = { (1,1),(2,2),(3,3),(4,4), (4,1) (4,2) (4,3), (5,5),(6,6)}

ii) So, Probability that first roll is equal to the second, P(B) = 6/36 = 0.166

Favourable outcomes for event C = 15 = { (2,1),(3,2),(3,1),(4,1),(5,1) (5,2) (5,3) (5,4),(6,1) (6,2) (6,3) (6,4) (6,5) (6,4), (6,5)}

iii) So, probability that the first roll is larger than the second, P(C) = 15/36

= 0.4166.

Hence, we get all required probabilities.

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The probability of P(Sum is even)=0.5, P(the first roll is equal to the second)=\(\frac{1}{6}\), P(the first roll is larger than the second)=0.4167.

A pair of dice are rolled

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur.

a) Sample space,

\($$\begin{aligned}S= & \left\{\begin{array}{l}(1,1)(1,2)(1,3)(1,4)(1,5)(1,6) \\(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)\end{array}\right. \\& (3,1)(3,2)(3,3)(3,4)(3,5)(3,6) \\& (4,1)(4,2)(4,3)(4,4)(4,5)(4,6) \\& (5,1)(5,2)(5,3)(5,4)(5,5)(5,6) \\& (6,1)(6,2)(6,3)(6,4)(6,5)(6,2)\}\end{aligned}$$\)

(b).

(i).The probability of each of the following events

Probability of event to happen

⇒P(Sum is even)=\(\frac{18}{36} =\frac{1}{2}\)=0.5

⇒P(Sum is even)=0.5

(ii). P(the first roll is equal to the second)=\(\frac{6}{36} =\frac{1}{6}\)

⇒P(the first roll is equal to the second)=\(\frac{1}{6}\)

(iii). P(the first roll is larger than the second)=\(\frac{15}{36}=0.4167\)

⇒P(the first roll is larger than the second)=0.4167

Therefore, the P(Sum is even)=0.5, P(the first roll is equal to the second)=\(\frac{1}{6}\), P(the first roll is larger than the second)=0.4167.

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Answer:

Step-by-step explanation:

Given function:

Here we have:

Answer:

(-3,-3)

B=(6-9,6+3)

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

More can be learned about the circumference of a circle at brainly.com/question/12823137

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