Which function grows faster?
Twelve bacteria are placed into a petri dish. The
number of bacteria doubles every thirty minutes.
or
y = 8x + 29

The measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Join the points B and O and then join points D and O

Angle A = (1/2)Angle BOD

Angle B = 140 degrees

Angle A = (1/2)140 degrees

Angle A = 70 degrees

Thus, the measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

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Answer:

Step-by-step explanation:

Given: cos θ = -4/5 , sin x = -12/13, θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan x.

-12/5

-13/5

-5/12

The cheapest alternative that Valentino can select is to make the computation and discover which is less expensive when compared to others.

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

Given that the info is incomplete, Valentino needs to analyze the three options and make additions for extra charges or deductions for discount and make a purchase of the cheapest alternative.

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Answer:

Step-by-step explanation:

The equation for stock A is y = .12x + 16.23.  .12 is the slope and 16.23 is where the stock started (aka the y-intercept)

The equation for stock B is y = -.15x + 16.73.  -.15 is the slope and is going down every hour instead of up, and 16.73 is where the stock started.

Setting these equal to each other and solving for x will give us in how many hours the stocks will have the same price:

.12x + 16.23 = -.15x + 16.73 and

.27x = .5 so

x = 1.9 hours

Answer:

The greater the cost, the better the merchandise

Step-by-step explanation:

It’s giving a positive correlation.

Consequently, when 3300 pounds are utilized, sand, gravel, and cement weigh 1800, 900, and 600 pounds, respectively.

In algebra, ratios display how infrequently one figure is contained in another. For instance, if there are 8- oranges and 6 citrus in a fruit dish, the percentage of oranges to oranges is 8 to 6. In a similar vein, lemons to whole fruit ratio is 8 to 1, whereas lemons to oranges rate is 6 to 8. A ratio is a non-zero ordered pair of numbers, x and y b, that is stated as a / b. A ratio is really an equation that joins two ratio. The ratio can be written as 1:3, signifying that if there 1 boy and (3) girls (she has 3 girls for every boy), 3/4 of the population is female and 1/4 is male.

given

the ratio of sans , gravel and sand is 6:3:2

total pounds needed = 3300

so 6x + 3x + 2x = 3300

11x = 3300

x = 300

6x = 6 * 300 = 1800

3x = 3* 300 = 900

2x = 2* 300 = 600

Consequently, when 3300 pounds are utilized, sand, gravel, and cement weigh 1800, 900, and 600 pounds, respectively.

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Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

Step-by-step explanation:

5. Determine whether the

x

y

11

-2

-1

2.

0

-1

1

2

2

11

Is it a linear quadratic or exponential

52s is the maximum time that she can take on her last lap and still make the team.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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Answer:B.

Step-by-step explanation:

-16 is the least. It is behind zero. 3 is near zero but it is still greater. 47 is way past zero.

Answer:

2.5/40=2/y

2.5y=40x2

2.5y=80

y=80/2.5

y=32

Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

Shapes in mathematics are simply geometry figures

The shape of the tent is a triangular prism.

From the complete question, the shape has the following faces

When a shape has the above highlights, then the shape is a triangular prism.

The dimensions of the faces are not given.

However, we have the following area formulas:

Hence, the shape is a triangular prism.

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Answer:

Step-by-step explanation:3-2b+4=2-7b

5b=5

b=1

We can see here that the modified divisor one can use is: 55.

The Jefferson Method uses a divisor that ensures the right number of seats are allocated, preventing the issue of an apportionment that results in a surplus or a deficit of House seats.

We see here that finding standard divisor, we have:

295 + 275 + 155 + 55 = 795

Thus, standard divisor = 795/13 = 61.1538462

Modifying the divisor in order for us to get the total number of tutors, we reduce the standard divisor to 55.

Using 55 as modified divisor we have:

Math: 275 ÷ 55 = 5

English: 295 ÷ 55 = 5.36

Chemistry: 155 ÷ 55 = 2.8

Biology: 70 ÷ 55 = 1.27

Taking the first part of the decimals, we have:

5 + 5 + 2 + 1 = 13.

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Answer:

reflective.

Step-by-step explanation:

this has a somewhat meaningful undertone, meaning it is not sarcastic or scholarly. It also is not arguementative because it is not agrueing anything.

Answer:

4 lessons

Step-by-step explanation:

add 125 to 50 which gives you $175

the do 700÷175 which gives you 4

Answer:

Step-by-step explanation:

Answer:

Hi there!

Your answer is;

There were 94 big hats and 282 small hats sold!

Step-by-step explanation:

Big hats= b

Small hats= 3b

3b+ b = 376

4b = 376

/4

b= 94

3(94) = 282

Double check!

94+282= 376

The particular antiderivative that satisfies the given condition is: R(t) = -9/t² + 56.

Fundamental Theorem of Calculus is established how differentiation and integration relate via the Basic Theorem of Calculus. It asserts that the definite integral of f(x) from a to b is equal to the difference between F(b) and F(a), if a function f(x) is continuous on the interval [a, b] and F(x) is an antiderivative of f(x) on [a, b].

To find the antiderivative we get the integral as follows:

∫ dR/dt dt = ∫ 18/t³ dt

R(t) = ∫ 18/t³ dt

Using the power rule of integration, we get:

R(t) = -9/t² + C

Now, R(3) = 55, we substitute t = 3 and R = 55:

55 = -9/3² + C

55 = -1 + C

C = 56

Therefore, the particular antiderivative that satisfies the given condition is: R(t) = -9/t² + 56.

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The amplitudes of functions are a) 8 and b) 6.

Given are the functions we need to determine the amplitude of function,

a) y = 8 Sin (x/2) + 3

b) y = 6 Cos x + 2

So,

To determine the amplitude of a trigonometric function, you can follow these steps:

For a sine function of the form y = A×sin(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

For a cosine function of the form y = A×cos(Bx + C) + D:

The amplitude is equal to the absolute value of the coefficient A.

Let's apply these steps to the given functions:

a) y = 8×sin(x/2) + 3

The coefficient of sin in this function is 8, so the amplitude is |8| = 8.

Therefore, the amplitude of function a) is 8.

b) y = 6×cos(x) + 2

The coefficient of cos in this function is 6, so the amplitude is |6| = 6.

Therefore, the amplitude of function b) is 6.

Hence the amplitudes of functions are a) 8 and b) 6.

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Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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Answer:

x = 8

Step-by-step explanation:

6 = 14 - x

chance the equation around so it is solvable

14 - x = 6

14 - 6 = x

now solve

14 - 6 = 8

that means x equals 8 so

6 = 14 - 8

Answer:

x=8

Step-by-step explanation:

To solve for x...

6 = 14 - x

Subtract 14 from both sides

6 - 14 = - x

Simplify

- 8 = - x

divide the - symble out of both sides to get x alone

x = 8

Answer:

Step-by-step explanation:

148 people

Answer:

$36 is the correct answer.

Step-by-step explanation:

Given that:

Adam has $15 of a certain type of rare coin.

$5 of this type of rare coins are equivalent to $12.

To find:

The total worth of $15 of rare coins = ?

If value of each coin is same.

Solution:

We are given that value of each coin is same.

So, We can simply use unitary method to find out the total worth of $15 of rare coins.

i.e. we first find out what is the worth of $1 of rare coins and then we find the worth of total required quantity.

Given that

$5 of rare coins are worthy of = $12

$1 of rare coins are worthy of = \(\frac{12}{5}\)

$15 of rare coins are worthy of =

\(\\\dfrac{12}{5}\times 15\\\Rightarrow \dfrac{12\times 15}{5}\\\Rightarrow 12\times 3\\\Rightarrow \$36\)

\(\therefore\) $15 of rare coins are worth of $36.

the difference of elevation between a and b.Let AB = x, tan 36 = x/111.356 ,x = 111.356 tan 36= 64.39 m and Difference in elevation = 64.39m

We are given that two ridges B and C form a valley with a point A at the bottom part with an elevation difference of 111.356m between the ridges and and angle of elevation of 36 degrees at point A. To find the difference of elevation between A and B, we use the formula of tangent which is tan θ = Opposite/Adjacent. We substitute the values and solve for x, which is the elevation difference between A and B. So the difference in elevation between A and B is 64.39m.

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The curved surface area of the cylinder is 48.06 cm².

The circumference of a cylinder is given by the formula:

C = 2πr

where C is the circumference and r is the radius of the base.

In this case, the given circumference is 6 cm.

So, 6 = 2πr

r = 6 / (2π)

r ≈ 0.955 cm

Now, the curved surface area (CSA) of the cylinder using the formula:

CSA = 2πrh

Given the height as 8 cm, we can substitute the values into the formula:

CSA = 2π(0.955 cm)(8 cm)

CSA ≈ 48.06 cm²

Therefore, the curved surface area of the cylinder is 48.06 cm².

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Answer:

A. Reflection

Step-by-step explanation:

I believe the answer would be reflection

Answer:

7/12<3/4

4/5<9/10

1/2<5/8

5/6>9/12

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

In the equation, we will need to calculate the maximum amount of money Marian can spend on the house.

We can calculate the maximum amount of money Marian can spend on a house by multiplying her monthly income by the number of months she would want to save.

Marian earns $4,100.00 per month

Suppose Marian wants  to save for  x months,  then the maximum amount that she can spend on the house is:

4100  *   x    +  21390

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

Hope this helps!