What is better deal: 2 books for $9 or 3 books for 12.75?

Answer:

618.1875 cm^3

Step-by-step explanation:

Volume = base area x height, so 176.625 x 3.5 = 618.1875

Answer:

- At any time t, the population is:

P = 375t² + 3000t + 1000

- At time t = 3 days, the population is:

P = 13,375

Step-by-step explanation:

Given the rate of change of the population of bacteria as:

dP/dt = 3000/(1 + 0.25t)

we need to rewrite the given differential equation, and solve.

Rewriting, we have:

dP/3000 = (1 + 0.25t)dt

Integrating both sides, we have

P/3000 = t + (0.25/2)t² + C

P/3000 = t + 0.125t² + C

When t = 0, P = 1000

So,

1000/3000 = C

C = 1/3

Therefore, at any time t, the population is:

P/3000 = 0.125t² + t + 1/3

P = 375t² + 3000t + 1000

At time t = 3 days, the population is :

P = 375(3²) + 3000(3) + 1000

= 3375 + 9000 + 1000

P = 13,375

Answer:

10 different amounts

Step-by-step explanation:

50+50+50= 150

100+100+100= 300

20+20+20= 60

100+50+50= 200

100+100+50= 250

20+50+50= 120

20+20+50= 90

100+20+20= 140

100+100+20= 220

50+20+100= 170

The sum of the measures of angle LMN and angle NMP is 180 degrees. The measure of ∠LMN is 153°.

In Euclidean geometry, an angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively.

L, m n is a straight angle, and we want to find the measure of angle, l, m, p, and m p, and since we are told that l m n is a straight angle.

∠LMN + ∠NMP = 180°

The straight line is 180°

180 - 18 = 162

162 = 18g

g = 9

Hence, ∠LMN = (15 x 9 + 18)° = 153°

Therefore, the measure of ∠LMN is 153°.

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Answer:

40° and 50°

Step-by-step explanation:

Complementary angles add to 90°.

4x+5x=90

9x=90

x=10

4*10=40

5*10=50

40° and 50°

Answer:

When \(x=0\), the value of f(x) is 1.

Each time x increases by 1, f(x) is multiplied by 4.

Equation of function: \(f(x)=1\cdot 4^x\)

Step-by-step explanation:

The detailed explanation is attached below.

The shape that can tessellate without leaving gaps is the hexagon (option A).

The shapes that can tessellate without leaving gaps are shapes that can be repeated to completely cover a flat surface without any overlaps or gaps. Among the options provided, the shape that will tessellate without leaving gaps is the hexagon (option A).

A hexagon is a six-sided polygon with equal sides and angles. It is a regular polygon, which means all of its sides and angles are equal. A regular hexagon can be arranged and repeated in a pattern to fill a plane without any gaps or overlaps. Bees' honeycombs are a real-world example of hexagonal tessellation.

On the other hand, octagons (option B) and pentagons (option C) do not tessellate by themselves without gaps. While they can be used in combination with other shapes to create tessellations, they cannot tessellate on their own.

A circle (option D) cannot tessellate without leaving gaps. A circle is a curved shape, and it cannot form a repeating pattern that completely covers a flat surface without overlaps or gaps.

In summary, the shape that can tessellate without leaving gaps is the hexagon (option A).

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The answer is: Pm= pm/n

Answer:

The answer is 80

Step-by-step explanation: You can trust me ok?:)

Answer:

The arrow should point at 0.5 which is half way between 0 and 1

Step-by-step explanation:

- + 1 = -3/4 + 5/4 = 2/4 = 1/2 and 1/5 in decimal form is 0.5

pls brainliest:)d

Answer:

75 teaspoons!

Step-by-step explanation:

Due to the conversion, each fluid ounce= 6 teaspoons. Do 72 + 3, which equals 75. You get 72 by doing 12 fluid ounces by 6 teaspoons. <3 hope thi s helps, lovely !

The present value of the nominal rate of the annuity will be $535.

Annuity amount = 20

Number of annuities = 32

APR = 16%

PV of annuities = 357

Number of years to perpetuity = 8

Quarterly perpetuity = 25

PV of perpetuity at 9th year = 625

PV of perpetuity today = 178

Total PV = 357 + 178 = 535

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Answer:

Yes

Step-by-step explanation:

To know if a table is a function or not, we have to see if 1 input only has 1 output.

Looking at the table each input only has 1 output, so it is a function.

Step-by-step explanation:

-8b =-14

8b= 14

b=14÷8

b=7÷4 or 1.74

hope it helps

Answer:

b= 7/4

Step-by-step explanation:

− 8 = − 1 4 -8b=-14 −8b=−14 − 8 − 8 = − 1 4 − 8 \frac{-8b}{{\color{#c92786 {-8}}}=\frac{-14}{{\color{#c92786}{-8}}} −8−8b​=−8−14​ 2

=7/4 b=\frac{7}{4} b=47​

Solution = 7/4

The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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Answer:

y=(-1/4)x -6

Step-by-step explanation:

you have to use the equation y=mx+b where

m is the slope =rise /run and is negative because the line goes down from left to right m= -1/4 (take two points on the graph to see the change in y and x)

b is the y-intercept and from graph we see is -6

so the equation is y=(-1/4)x -6

Answer:

\(78.5yd^{2}\)

Step-by-step explanation:

The formula to find the area of a circle of is: A = \(\pi r^{2}\)

However, the question wants to use 3.14 instead of pi.

We need to find the radius. The radius of the circle is half the diameter. So, the radius to 5 yards.

Now we just plug in the formula.

\(A=3.14*(5yd)^{2} \\A=3.14*25yd^{2} \\A=78.5yd^{2}\)

At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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Answer:

a_1 = 6

a_n = 5 × a_n-1

Step-by-step explanation:

30/6 = 5

150/30 = 5

750/150 = 5

The rule is to start with 6 and multiply each number by 5 to get the next number.

a_1 = 6

a_n = 5 × a_n-1

Answer:

Step-by-step explanation:

To get the next term, you multiply the previous term by 5

tn = 5*t_(n -1)

a1 = 6

a2 = a1 * 5

a2 = 6 * 5

a2 = 30

a3 = 5*a2

a3 = 5 * 30

a3 = 150

and so one

Answer:

Step-by-step explanation:

I and II

Pages in a book and leaves on a tree can be counted precisely. They are discrete.

The height of a person cannot be measured exactly. We can get very good

approximations (to a lot of decimal places) but never exact. This is continuous.

The best equation for describing the distance y of the blue car after x hours would be: \(y = 60x\). So, option C is accurate.

The distance formula for an item moving at a constant speed must be applied in order to get a response to this query:

distance = speed * time

In this case, the speed of the red car is 60 miles per hour, and the time is x hours. Therefore, the distance traveled by the red car is:

distance \(= 60 * x\)

distance \(= 60x\)

This means that the equation for the distance y of the blue car after x hours must be different from 60x, otherwise the two cars would have traveled the same distance.

This is due to the fact that the red car is moving at a speed of 60 mph, and it is assumed that the blue car is moving at a similar speed. The distance covered by the blue car after x hours would therefore be equal to x hours multiplied by 60 miles per hour, or y = 60x.

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Answer: it is y=50x

Step-by-step explanation: i took the test and i did y=60x and it was wrong. so y=50x is right

The smaller number is 6 .

The larger number is 22

Let's let x be the smaller number and y be the larger number.

From the problem, we know that one number is eight less than five times the other, so we can write:

y = 5x - 8

We also know that the sum of the two numbers is 28, so we can write:

x + y = 28

Now we have two equations in two variables. We can solve for one of the variables in terms of the other, and substitute that expression into the other equation to eliminate one variable.

Let's solve the first equation for x

x = (y + 8)/5

Now we can substitute this expression for x into the second equation:

(y + 8)/5 + y = 28

Multiplying both sides by 5 to eliminate the fraction, we get:

y + 8 + 5y = 140

Combining like terms, we get:

6y + 8 = 140

Subtracting 8 from both sides, we get:

6y = 132

Dividing both sides by 6, we get:

y = 22

Now we can use the equation y = 5x - 8 to solve for x:

22 = 5x - 8

Adding 8 to both sides, we get:

30 = 5x

Dividing both sides by 5, we get:

x = 6

Therefore, the smaller number is 6 and the larger number is 22.

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The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

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Answer:

0.66 melones por niño o 2/3

Step-by-step explanation:

10/15=2/3=0.66

Answer:

836 per day

Step-by-step explanation:

25916 ÷ 31 = 836

Answer:

836

person above is correct ;)

Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding  it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.

Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..

The scale factor of figure B to figure A is 1/2.

To find the scale factor of figure B to figure A, we need to determine how much the corresponding sides of the two figures have been multiplied or divided by.

Looking at the figures, we can see that the corresponding sides of figure B are half the length of the corresponding sides of figure A. For example, the length of side AB in figure A is twice the length of side AB' in figure B, and the length of side BC in figure A is twice the length of side B'C' in figure B.

Since the corresponding sides of figure B are half the length of the corresponding sides of figure A, the scale factor of figure B to figure A is 1:2 or 1/2.

Therefore, the scale factor of figure B to figure A is 1/2.

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