Write an equation of the line in slope-intercept form.
y=

Answer:

  9990 years

Step-by-step explanation:

The exponential function with given values filled in can be solved for the unknown using logarithms.

__

  Q(t) = 12 = 36e^(-0.00011t)

  1/3 = e^(-0.00011t) . . . . . . divide by 36

  ln(1/3) = -0.00011t . . . . . . take natural logs

  t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t

  t ≈ 9990 . . . years

Answer:

I know 3 h(x)=4sin(2x+pi)+3  is the correct option.

Step-by-step explanation:

I don't exactly know why but based on examples in this class I made this conclusion.

Answer:

all are -3

Step-by-step explanation:

substitue 0

Answer:

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

Step-by-step explanation:

3 dozen chocolate chip cookies

3 cups of flour

1 cup of sugar

2 cups of chocolate chips

The recipe is for 3 dozen cookies as stated above.

If you make 2 dozen cookies, then you are making 2/3 of the recipe since 2 is 2/3 of 3.

That means you need 2/3 of all the ingredients.

2/3 × 3 dozen chocolate chip cookies

2/3 × 3 cups of flour

2/3 × 1 cup of sugar

2/3 × 2 cups of chocolate chips

We simplify the amounts to:

2 dozen chocolate chip cookies

2 cups of flour

2/3 cup of sugar

1 1/3 cups of chocolate chips

Answer:

see explanation

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y )

applying this rule to the given points , then we obtain

[tex]\left[\begin{array}{ccc}-3&-6&-3\\-3&3&3\\\end{array}\right][/tex]

Answer:The output values are reflected across the x-axis and the input values are reflected across the y-axis.

Step-by-step explanation:

aye man you gotta believe me ;)

The graph of f(x) is transformed into g(x) by reflecting the output values across the x-axis and reflecting the input values across the y-axis.

We have,

f(x) = (1/2)³x

and, g(x) = -(1/2)³⁻ˣ

In f(x), the coefficient 3 in the exponent represents exponential growth.

Now, g(x) = –One-half(3)–x.

Here, the negative sign changes the sign of the output values, reflecting them across the x-axis. This means that the graph will be flipped upside down.

and, the negative exponent also changes the sign of the input values, reflecting them across the y-axis. This means that the graph will be mirrored across the y-axis.

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Answer:

6 , 7 , 8 , 9...

Step-by-step explanation:

2x > 10

x > 5

then

x = 6 , 7 , 8, 9...

I think that I am right and also think this will helpful to you.....

Answer: A

Step-by-step explanation:

Since diagonals of a rectangle are congruent and bisect each other, we know that the two opposite triangles formed by the diagonals are congruent by SAS.

Therefore, the measure of angle 1 is equal to 25 degrees.

Answer:

The answer is:

B. c¹⁰/d¹⁰

Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number

So you can use the factor tree to find the GCF and LCM

The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number

Prime factorization is a process of writing all numbers as a product of primes. So, for example, say if we have something like the number 20. We can break that down into two factors. We can say, “well, that's 4 times 5.” And notice, 5 is a prime number.

here, we have,

we need to explain how prime factorization is useful to find the greatest common factor and least common multiple.

now, we know that,

gcf is: Greatest Common Factor. The highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.

and,

lcm is : LCM denotes the least common factor or multiple of any two or more given integers. For example, L.C.M of 16 and 20 will be 2 x 2 x 2 x 2 x 5 = 80, where 80 is the smallest common multiple for numbers 16 and 20.

so, we have,

Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.

So you can use the factor tree to find the GCF and LCM.

Hence, The solution is, Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number.

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Answer:

The perimeter of an 30 inch wide = 20inches wide bro

Step-by-step explanation:

Answer:

[tex]X ≤ P(119)  \rightarrow    P(X < 119.5)[/tex]

Step-by-step explanation:

Given:

n = 504

p = 0.27

To Approximate:

P(x≤119) usimg normal distribution

Solution:

We know that,

[tex]p+q = 1\\q = 1-p\\q = 1 - 0.27 \\ \fbox{q = 0.73}[/tex]

let's find the mean,

[tex]n \cdot p = 500 \times 0.27 \\ n \cdot p = 135 \\ \mu \: = 135[/tex]

let's calculate standard deviation,

[tex] \sigma = \: \sqrt {n \cdot p\cdot q} \\ \sigma \: = \sqrt{504 \times 0.27 \times 0.73} \\ \sigma \: = 9.96[/tex]

Rewriting the equation using continuity correction,

[tex]    P(X ≤ n)  \rightarrow    P(X < n + 0.5) \\     P(X ≤ 119)  \rightarrow    P(X < 119 + 0.5) \\     P(X ≤ 119)  \rightarrow    P(X < 119.5) \\ \fbox{x \: = 119.5}[/tex]

Some more things you must need to know,

standard score is an important part of statistics,

can be derived using formula

[tex]Z = \frac{ x - \mu}{ \sigma} \\ Z = \frac{ 119.5 - 135}{ 9.96} \\ Z= \frac{-15.5}{9.96} \\ \fbox{Z= -1.55}[/tex]

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Answer:

5

Step-by-step explanation:

if 17y-8=9, then you could say that 17y=17, by adding 8 to both sides.

So, y=1

Then, plug that value into the new equation 6y-1.

You recieve 6(1)-1

Therefore, the value of the new equation is 5

Answer:

[tex]\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex] or [tex]\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}[/tex]

Step-by-step explanation:

[tex]\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex]

[tex] {2x}^{3} + 4 {x}^{2} + 8x \\ \\ 2x( {x}^{2} + 2x + 4)[/tex]

Answer:

For 3 pounds, 3 ÷ 1/8 = 54

For 7 pounds, 7 ÷ 1/8 = 56

Answer:

[tex][7\times(-2)]^5 = 7^5 \times (-2)^5[/tex]

Step-by-step explanation:

Answer:

694.9

Step-by-step explanation:

Answer:

This is your answer 694.931651315437

Have a good day!

Answer:

56.16

We need to determine 24% of 234 now and the procedure explaining it as such

Step 1: In the given case Output Value is 234.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 234 = 100%.

Step 4: In the Same way, x = 24%.

Step 5: On dividing the pair of simple equations we got the equation as under

234 = 100% (1).

x = 24% (2).

(234%)/(x%) = 100/24

Step 6: Reciprocal of both the sides results in the following equation

x%/234% = 24/100

Step 7: Simplifying the above obtained equation further will tell what is 24% of 234

x = 56.16%

Therefore, 24% of 234 is 56.16

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Answer:

x = -7

Step-by-step explanation:

Any expression is undefined when a nonzero number is in the numerator and the denominator = 0. For this expression, set the denominator = to 0 and solve for x:

x + 7 = 0

x = -7

At x = -7, this expression is undefined.

I hope this helps!

Step-by-step explanation:

17. 21⁰ + 31⁰ + ?⁰ = 180⁰

= ?⁰ = 128⁰

18. ?² = 12² + 5²

? = √169

? = 13 TYPO

Answer:

17: 128
18: 13

Step-by-step explanation:

17: 21 + 31 = 52, 180 - 52 = 128.

18: a² + b² = c².
5² = 25
12² = 144
25 + 144 = 169
169 square rooted = 13
C (aka the missing side) = 13

edited to fix 17 from 121 to 128

Answer:

the answer is 1600

The tan θ and cos θ values of 17π/12 are illustrations of trigonometry ratios

The values of tan θ and cos θ are 2 + √3 and (√2 - √6)/4, respectively

We have:

θ = 17π/12

Express as sum

θ = 9π/12 + 8π/12

Simplify

θ = 3π/4 + 2π/3

The above becomes

tan(17π/12) = tan(3π/4 + 2π/3)

Using the sum formula, we have:

tan(A + B) = [tan(A) + tan(B)]/[1 - tan(A)tan(B)]

Substitute known values

tan(3π/4 + 2π/3) = [tan(3π/4) + tan(2π/3)]/[1 - tan(3π/4)tan(2π/3)]

Evaluate the expression

tan(3π/4 + 2π/3) = [-1 - √3]/[1 - (-1)(-√3)]

Evaluate the product

tan(3π/4 + 2π/3) = [-1 - √3]/[1 - √3]

Rationalize

[tex]tan(\frac{3\pi}4 + \frac{2\pi}3) = \frac{-1 - \sqrt3}{1 - \sqrt3} * \frac{1 + \sqrt3}{1 + \sqrt3}[/tex]

Evaluate the product

[tex]tan(\frac{3\pi}4 + \frac{2\pi}3) = \frac{-(1 + \sqrt3)^2}{1 - 3}[/tex]

This gives

[tex]tan(\frac{3\pi}4 + \frac{2\pi}3) = \frac{-(1 + 3 + 2\sqrt 3)}{-2}[/tex]

[tex]tan(\frac{3\pi}4 + \frac{2\pi}3) = \frac{-(4 + 2\sqrt 3)}{-2}[/tex]

Divide

[tex]tan(\frac{3\pi}4 + \frac{2\pi}3) = 2 + \sqrt 3[/tex]

So, we have:

tan(17π/12) = 2 + √3

We have:

θ = 17π/12

Express as difference

θ = 9π/4 - 5π/6

The above becomes

cos(17π/12) = cos(9π/4 - 5π/6)

Using the difference formula, we have:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

So, we have

cos(17π/12) = cos(9π/4)cos(5π/6) + sin(9π/4)sin(5π/6)

Evaluate

[tex]cos(\frac{17\pi}{12}) = \frac{\sqrt 2}{2} * - \frac{\sqrt 3}{2} + \frac{\sqrt 2}{2} * \frac 12[/tex]

Evaluate

[tex]cos(\frac{17\pi}{12}) = \frac{\sqrt 2}{2} (- \frac{\sqrt 3}{2} + \frac 12)[/tex]

Evaluate the difference

[tex]cos(\frac{17\pi}{12}) = \frac{\sqrt 2}{2} (\frac{1 - \sqrt 3}{2})[/tex]

Expand

cos(17π/12) = (√2 - √6)/4

Hence, the values of tan θ and cos θ are 2 + √3 and (√2 - √6)/4, respectively

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Answer:21%

Step-by-step explanation:21%

Answer:

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the hypergeometric distribution is used to solve this question.

What is the hypergeometric distribution formula?

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this problem:

There is a total of 3 + 4 = 7 marbles, hence N = 7.

Of those, 3 are blue, hence k = 3.

2 marbles will be taken, hence n = 2.

Step-by-step explanation:

[tex]\left(\dfrac{(-1)^5}{(-2)^{-3}} \right)^2\\\\\\=\left(\dfrac{-1}{\dfrac{1}{(-2)^3}} \right)^2\\\\\\=\left(-1 \times -8\right)^2\\\\=8^2\\\\=64[/tex]

Answer:

[tex]\huge\boxed{\bf\:64}[/tex]

Step-by-step explanation:

[tex]\left(\frac{(-1)^{5}}{\left(-2\right)^{-3}}\right)^{2}[/tex]

Now, simplify [tex](-1)^{5} = -1[/tex]. Then,

[tex]\left(\frac{-1}{\left(-2\right)^{-3}}\right)^{2}[/tex]

Calculate: [tex](-2)^{-3} = \frac{1}{(-2)^{3}} = - \frac{1}{8}[/tex].

[tex]\left(\frac{-1}{-\frac{1}{8}}\right)^{2}[/tex]

Divide [tex]-1[/tex] by [tex]- \frac{1}{8}[/tex]. The result will be [tex]8.[/tex]

[tex]\left(-\left(-8\right)\right)^{2} \\= 8^{2}[/tex]

Calculate [tex]8[/tex] to its square which is [tex]64.[/tex]

[tex]8^{2}\\=\boxed{\bf\: 64} \: \:\mathrm{(3^{rd} \: option)}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

100x³²

..................

Answer:

each apple would cost $4,28

The cost of each bag of apples is 4.28 dollars.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Meena buys cookies and apples at the store.

Meena pays a total amount of $24.02.

She pays a total amount of $6.90 for the cookies.

She buys 4 bags of apples which each cost the same amount.

The total cost of apples = 24.02 - 6.90

= 17.12

Therefore, each bag of apples cost = 17.12/ 4 = 4.28

Hence, the cost of each bag of apples is 4.28 dollars.

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Answer:

48°

Step-by-step explanation:

Vertically opposite angles are equal. Angle 7 is vertically opposite to angle 5.

Answer:

The measure of angle 7 is 48 degrees

Step-by-step explanation:

Angle 5 and 7 are opposite angles. Opposite angles are congruent.