A recipe calls for (1 3/8) cups of sugar to make 2 dozens cupcakes. How much sugar is needed to make 60 cupcakes?

Using trigonometric ratios, the measure of side n to one decimal is 6.6 units.

Using the trigonometric principle

SOHCAHTOA,

cos 20 = adjacent / hypotenuse

adjacent side = n

hypotenuse side = 7

Therefore,

cos 20° = n / 7

cross multiply

n = 7 cos 20°

n = 7 × 0.93969262078

n = 6.5778483455

n = 6.6 units

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The amount that Noah pays to the credit union after 180 days will be $5143.85.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

We have

P = $5,000

r = 0.114 / 12 = 0.0095

n = 3

A = 5000(1 + 0.114)³

A = $5143.85

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Answer:

{-12,0}

Step-by-step explanation:

first to solve this can collect like terms and add

X² +12x=0

and solve it by factorization method

X² +12x=0

x(x+12)=0

it means x multiplied by x = X² then x multiplied by 12 = 12x

so this means x or (x+12) equals to zero

x=0 and (x+12)=0

x+12=0

x=-12

so the solution set is {-12,0}

but can also be done by formula method

Because of the vertical asymptote and the change in concavity, we conclude that the correct option is B.

Remember that cot(x) = 1/tan(x).

Then we can rewrite:

cot(x) = cos(x)/sin(x).

We know that for x = 0, we have:

cot(0) = cos(0)/sin(0) = 1/0

Then we have a vertical asymptote that tends to ± infinity.

The only graph that meets this condition is the second and the third one, and by the curvature (we need to have a change of concavity/convexity) in the tangent function.

From that, we conclude that the correct option is B.

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Answer:

59.5

Step-by-step explanation:

He is asking for angle A

cosA = adjacent/hypotenuse

= 33/65

we'll do shift cos(33/65) = 59.48 to bring A

Answer:

1 is answer

Step-by-step explanation:

2*3/5*3___6/5

Answer:

A-1/3

B-1/8

C-?

Step-by-step explanation:

Answer:

19 cents or 0.199

Step-by-step explanation:

Hope it helped!

Answer:

19 cents

Step-by-step explanation:

divide total cost by amount of items

Answer:

1,120 cm³

Step-by-step explanation:

Hello!

Think about it this way: There is a rectangular prism, with lengths of 20cm, 12cm, and 10cm, and another rectangular prism cut out of it with lengths, of 8cm, 8cm, and 20cm.

Volume = L * W * H

V = L * W * H

Subtract:

The total volume is 1,120cm³

Answer: 27

Step-by-step explanation:

Use PEMDAS (Parenthesis,Exponents,Multiplication,Division,Addition,Subtraction)

to solve this problem. First multiply 5 times 4 to get 20. Then divide 14 by 2 to get 7. Lastly, add those two answers to get 27 as the final answer.

Answer:

a)b= 5

b)45

Step-by-step explanation:

a) 5 times ten is 50 . the two factors of 50 are 25 and 2. The square root of 25 is 5, so that's the answer.

b) 27 × 75 is 2025 and the base root is 45², then with the radical and exponent we reduce the index by 2 to get 45.

[tex]\textbf{a)}\\\\~~~\sqrt 5 \times \sqrt{10}\\\\=\sqrt{5} \times \sqrt{5 \times 2}\\\\=\sqrt{5} \times \sqrt 5 \times \sqrt 2\\\\=\left(\sqrt 5 \right)^2 \times \sqrt 2\\\\=5\sqrt 2\\\\\text{It is now in a form of} ~ b\sqrt2 ~ \text{where} ~b = 5.\\\\\\[/tex]

[tex]\textbf{b)}\\\\~~~\sqrt{27} \times \sqrt{75}\\\\=\sqrt{9 \times 3} \times \sqrt{25 \times 3}\\\\=\sqrt 9 \times \sqrt 3 \times \sqrt{25} \times \sqrt 3\\\\=3\times 5 \times \left(\sqrt 3 \right)^2\\\\=15 \times 3\\\\=45[/tex]

Answer:

50% to pull either a black or pink marble.

Step-by-step explanation:

The reason for this is due to the fact you have an equal amount of marbles of 2 different colors, so the chance of pulling one marble is not over another unless you remove say 1 pink marble, therefore the black marbles would have a higher percentage of being pulled instead of pink.

Answer:

its a such a hard questions i think you should ask to you're teacher ?

Im going to assume that you want the area of a circle.

We already have radius, which is the only variable that we need, now we just have to plug it into the area for the circle:

π(28²)

Multiplying this, you get 2461.76 cm³

Answer:

34000000

Step-by-step explanation:

hope it helps you and give me a brainliest

Answer:

34

Step-by-step explanation:

3rd and 5th square numbers means 3² and

5² .

so we know 3² is another word of saying 3×3

3×3=9

5×5=25

9+25=34

#1

Length in cm

Total length

#2

Total notes

Total money

|

Total suits per month=120

per year

#4

Total 5mins

total distance

Answer:

(2, -16)

Step-by-step explanation: set both (x +2) and (x-6) = 0.

You get the two x-intercepts -2 and 6. Find the midpoint of the two intercepts by  -2 + 6 / 2 which gives you x=2. Then plug 2 in for x and solve the original equation. ( 2 - 6)(2+2) = -16. Therefore the vertex is at (2,-16).

Answer:

Step-by-step explanation:

f(x) = x^2 - 4x - 12

x = -(-4)/2 = 4/2 = 2

(2)^2 - 4(2) - 12 = 4 - 8 - 12 = -4 - 12 = -16

vertex: (2, -16)

Answer:-3, -2, -1/10, -0.8, 0.8, 7

Step-by-step explanation:

Given the following formula, w=x-y/2 -z. The value of y is y = x - 2w + wz .

Usually, simplification involves proceeding with the pending operations in the expression.

Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

Given the following formula,

w=x-y/2 -z

We need to solve for y.

[tex]w = \dfrac{x-y}{2 -z}[/tex]

By cross multiplication

[tex]w\times (2 -z)= {x-y}\\\\2w - wz = x - y[/tex]

subtract x both side

2w - wz -x = x - y -x

y = x - 2w + wz

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[tex]\text{According to the factor theorem,}\\\\x-a~ \text{is a factor of}~ f(x)~ \text{if}~ f(a) = 0, ~ \text{where}~ a \in\mathbb{R}\\\\\text{Given that,}\\ \\P(x) = x^7 -5x^5 +2x^4 -x^2 +9\\\\P(6) = 6^7 -5\cdot 6^7 +2 \cdot 6^4 -6^2 +9 = 243621 \neq 0\\\\\text{Since} ~ P(6)\neq 0~, ~ x -6 ~ \text{is not a factor of P(x).}[/tex]

Answer:

Can You Give Me Some More Information

Step-by-step explanation:

The equivalent expressions of 2n + (8 + 32)are 2n + 40 and 2(n + 20)

The expression is given as:

2n + (8 + 32)

The first equivalent expression

Evaluate the sum of the numbers in the bracket

2n + (8 + 32) = 2n + 40

This means that 2n + 40 and 2n + (8 + 32) are equivalent.

The second equivalent expression

In (a), we have:

2n + (8 + 32) = 2n + 40

Factor out 2 from the expression

2n + (8 + 32) = 2(n + 20)

This means that 2(n + 20) and 2n + (8 + 32) are equivalent.

Hence, the equivalent expressions are 2n + 40 and 2(n + 20)

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Answer:

1) p ≥ -6

2) p ≤ -38/5

Step-by-step explanation:

3p + 4 ≥ -14

Subtract 4 to both sides

3p ≥ -14 - 4

3p ≥ -18

Divide 3 to both sides

p ≥ -18/3

p ≥ -6

[tex]\rule[225]{225}{2}[/tex]

1 - 5p ≥ 39

Subtract 1 to both sides

-5p ≥ 39 - 1

-5p ≥ 38

Divide -5 to both sides

p ≤ -38/5

[tex]\rule[225]{225}{2}[/tex]

Using the combination formula, it is found that there are 47,040 ways to form a soccer team.

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex]

A soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 8 forwards, 6 midfield players and 8 defensive players

Since they are independent of each other, the total number of combinations will be;

[tex]^mC_k = \dfrac{8!}{3! \times (5)!} \times \dfrac{6!}{4! \times (2)!} \times \dfrac{8!}{3! \times (5)!} \\\\^mC_k =47,040[/tex]

Hence, There are 47,040 ways to form a soccer team.

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Answer:

  yes, it can be of odd degree

Step-by-step explanation:

The local maxima and minima correspond to zeros in the derivative of the function. The degree of the polynomial will be 1 more than some multiple of 2 greater than the number of zeros in the derivative.

__

For 2 each of local maxima and minima, the derivative will have 2+2 = 4 real zeros. The degree of the polynomial will be 1 greater, hence of degree 5 (or more). The polynomial must be of odd degree.

__

The local extrema must alternate: a maximum must be followed by a minimum, or vice versa. When there are an even number of each kind, the end extrema will be of opposite kinds. The end behavior of the function will be upward from a minimum and downward from a maximum. Hence the end behaviors must be in opposite directions--characteristic of an odd-degree polynomial.

The polynomial must be of odd degree.

_____

Additional comment

A polynomial with real coefficients will have an even number of complex roots. The complex roots of the derivative of a polynomial have no effect on the number or kind of extrema.

__

Attached is an example of a polynomial with 2 maxima and 2 minima. It is of 5th degree.

Answer:

Step-by-step explanation:

Remark

The two black suites are

Clubs

Spades

Each of them has 13 cards so the total number of black cards is 2*13 = 26

Add to that the hearts which also has 13 cards

The total number of possible good cards is 13 + 26 = 39

Answer

P(hearts or Black) = 39/52

P(hearts or Black) = 3/4

P(hearts or Black) = 0.75

Answer:

your answer is 4 my friend

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Using the formula [tex]A=\frac{1}{2}bh[/tex],

[tex]A=\frac{1}{2}(8)(2)=\boxed{8}[/tex]

Answer:

10%

Explanation:

Use future value formula

Future Value =  Present Value ((1+r)^n)

26,600 =  20,000 ((1+r)^3

26,600/20,000 = (1+r)^3

1.33 = (1+r)^3

1.33^1/3 = 1+r

1.0997 = 1+r

1.0997 - 1 = r

r = 0.997 = 9.97% = 10% (rounded of to the nearest whole percentage)

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