In a video game for every 6 enemies you defeat, you earned 3 points. If you defeated 48 enemies, how many points would you have earned?

A: 59

B: 31

C: 90

D: 90

E: 90

The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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Answer:

Step-by-step explanation:

= 8^3+7+8+(9*2/3)*2= 8^3+7+8+(18/3)*2= 8^3+7+8+(6)*2= 8^3+7+8+6*2= 512+7+8+6*2= 512+7+8+12= 519+8+12= 527+12= 539

The flour-to-water ratio in Jada's paste recipe is 4:1. (or 4 parts flour to 1 ratio part water). This means that 1 pint (or 2 cups) of water was added for every 4 cups of flour used to form the paste.

In mathematics, ratios demonstrate how frequently one number is contained in another. For example, if there are 8 oranges and 6 lemons in a fruit dish, the ratio of oranges to lemons is 8 to 6. In a similar vein, the orange-to-whole-fruit ratio is 8, whereas the lemon-to-orange ratio is 6:8. A ratio is an ordered pair of numbers a and b represented as a / b, where b is not zero. A ratio is an equation that equates two ratios. For example, if there is one male and three girls (for every boy she has three daughters), 3/4 are girls and 1/4 are boys.

The flour-to-water ratio in Jada's paste recipe is 4:1. (or 4 parts flour to 1 part water). This means that 1 pint (or 2 cups) of water was added for every 4 cups of flour used to form the paste.

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Answer: a) Let Q be an orthogonal matrix and let λ be an eigenvalue of Q. Then there exists a non-zero vector v such that Qv = λv. Taking the conjugate transpose of both sides, we have:

(Qv)^T = (λv)^T

v^TQ^T = λv^T

Since Q is orthogonal, we have Q^TQ = I, so Q^T = Q^(-1). Substituting this into the above equation, we get:

v^TQ^(-1)Q = λv^T

v^T = λv^T

Taking the norm of both sides, we have:

|v|^2 = |λ|^2|v|^2

Since v is non-zero, we can cancel the |v|^2 term and we get:

|λ|^2 = 1

Taking the square root of both sides, we get |λ| = 1.

b) Let Q1 and Q2 be orthogonal matrices. Then we have:

(Q1Q2)^T(Q1Q2) = Q2^TQ1^TQ1Q2 = Q2^TQ2 = I

where we have used the fact that Q1^TQ1 = I and Q2^TQ2 = I since Q1 and Q2 are orthogonal matrices. Therefore, Q1Q2 is an orthogonal matrix.

Thus, the company must consider fixed monthly payments of amount $497.92 into the account to reach $97,000 in 13 years.

To find the monthly payment needed to reach $97,000 in 13 years, we can use the sinking fund formula:

FV = PMT * [(1 + i)^n - 1] / i

where:
FV = future value ($97,000)
PMT = monthly payment (unknown)
i = monthly interest rate (3.2% compounded monthly, which is 0.032 / 12 = 0.002667)
n = number of months (13 years * 12 months/year = 156 months)

Rearrange the formula to solve for PMT:

PMT = FV * i / [(1 + i)^n - 1]

PMT = 97,000 * 0.002667 / [(1 + 0.002667)^156 - 1]

PMT ≈ 497.92

So, the company should make fixed monthly payments of approximately $497.92 into the account to reach $97,000 in 13 years.

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Answer:

D.

Step-by-step explanation:

D is the correct answer

The answer is D. there is exactly one solution at (3, 1)

Answer:

10 minutes 30 seconds

Step-by-step explanation:

begin by dividing the overall size of the tub by the amount of gallons per minute.

42/4=10.5

This means that in 10.5 minutes the tub would be full. .5 is half and half of one minute is 30 seconds.

A. Independent variable: number of rubber stamps n sold. Dependent variable: F(n), the total sales.

B. Only whole numbers. It is impossible to have negative and/or fractional stamps.

C. F(n) = $4.95n, which is 4.95 times n.

So, plugin 5 for n

\(f(5)= \$4.95(5)\)

F(n) = $24.75

If the length of a rectangular garden is twice its width, and the garden is surrounded by a rectangular concrete walk having a uniform width of 4 feet, and the area of the garden and the walk is 330 square feet, then the dimensions of the garden are 10 feet by 20 feet.

The length of a rectangular garden is twice its width, so if we let the width be x, then the length is 2x. The area of the garden is the length times the width, so it is 2x*x = 2x².Now let's add the width of the walk to the dimensions of the garden, so the width of the garden plus the walk is x + 8, and the length plus the walk is 2x + 8. The area of the garden plus the walk is the length plus the walk times the width plus the walk, so it is (x + 8)(2x + 8).

According to the problem, the area of the garden plus the walk is 330 square feet. We can set up an equation to solve for x:(x + 8)(2x + 8) = 330Simplifying and solving for x, we get:x² + 10x - 29 = 0(x + 13)(x - 3) = 0x = -13 or x = 3Since the width of the garden cannot be negative, we must take x = 3. Then the length of the garden is 2x = 6, and the dimensions of the garden are 3 feet by 6 feet.

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Answer:

cannot; 39.5

Step-by-step explanation:

a triangle interior angles add up to 180

when adding those measurements together, you get 255.6°

39.5 is the proper measurement

Answer: cannot

Step-by-step explanation:

The rectangle coordinate C is (2,-2).

What is rectangle?

A quadrilateral with four equal vertices and parallel sides is known as a rectangle. Because of this, it is also known as an equiangular quadrilateral.

The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

Here the in given rectangle  ABCD with A(−4, 3),B(2, 3), and D(−4, −2).

Lets mark coordinates into graph to make rectangle then,

The missing coordinates is (2,-2) according to the graph.

Hence the coordinate C is (2,-2).

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Problem 1

I'm assuming your teacher means "list all the possible rational roots".

If so, then we use the rational root theorem. This is the idea where we'll divide the factors of the last term over the factors of the first coefficient.

If we divide said factors in the order mentioned, then we get this list of possible positive rational roots:

1/1, 1/3, 5/1, 5/3

That list simplifies to

1, 1/3, 5, 5/3

That takes care of the positive possible rational roots. We double the list to incorporate the negative possible rational roots as well

-1, -1/3, -5, -5/3

Note: We can rewrite that list in bold into \(\pm 1, \pm\frac{1}{3}, \pm 5, \pm \frac{5}{3}\) to shorten it.

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

Problem 2

We'll follow the same idea as the previous problem

Factors of 36:  1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 4:  1, 2, 4

To keep track of everything, I made a spreadsheet table. Refer to the diagram below. The factors of 36 are laid across the top while the factors of 4 are along the left side. Each inner cell represents dividing the headers.

For example, 36/4 = 9 is in the bottom right corner. The first table is before the fractions are reduced, and the second table after the fractions are reduced.

As the second table shows, we have a few repeats. The unique items here are:

1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4

We'll then mirror this set to include negative values as well to write the full list of all possible rational roots.

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

Problem 3

Divide the factors of 15 over the factors of 5 to get

1/1, 1/5, 3/1, 3/5, 5/1, 5/5, 15/1, 15/5

That list reduces to

1, 1/5, 3, 3/5, 5, 1, 15, 3

we can then toss out the duplicates to get

1, 3, 5, 15, 1/5, 3/5

Don't forget to include the negative values as well

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

Problem 4

The steps will be effectively the same as before. You can write out the factors like done in problem 3, or make a table like done in problem 2. I'll skip the steps shown here unless you need me to go over them.

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

Problem 5

There's not really much new here, except for the fact that the first term has coefficient of 1. This is a special case where all we have to do is list the factors of the last term -40 to generate all the roots we need. This is because each time we're dividing over +1 or -1 which doesn't really change the overall result (except for the sign part).

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

Don't forget the negative values as well

Answer:

$98 billion

Step-by-step explanation:

The computation of the opportunity cost is shown below:

= Difference in military spending × economy ÷ percentage

where,

The Difference in military spending is

= 3.7 - 3

The Economy is $14 trillion

And, the percentage is 100

Now placing these values to the above formula

So, the opportunity cost is

= (3.7 - 3) × $14 trillion ÷ 100

= 0.7 × $14 trillion ÷ 100

= $98 billion

Answer:

The answer are

\(m < 1 = 27 \\ m < 2 = 27 \\ m < 3 = 90 \\ m < 4 = 27 \\ m < 5 = 63 \\ m < 6 = 63\)

Answer:

26.411

Step-by-step explanation:

In 3a+bc-c you have to substitute

a=8.6, b=2.3, c=0.47

3*8.6 + 2.3*0.47 - 0.47 first do the multiplication then addition and subtraction

25.8 + 1.081 - 0.47=

26.411

The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.

Sampling:

Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.

Given,

Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.

Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.

Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.

In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.

Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.

Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.

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The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).

There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.

Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.

Since there are 52 cards in a deck, the total number of possible outcomes is 52.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13

Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

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92 because I'm really good at math

The z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

\(Z = \dfrac{X- \mu}{\sigma}\)

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

As it is given that the standard deviation of the monthly utility bills is $8, while the mean is $70. Therefore, the z-score can be written as,

A.) X= 60

\(Z = \dfrac{X- \mu}{\sigma}=\dfrac{60- 70}{8} = -1.25\)

B.) X = 71

\(Z = \dfrac{X- \mu}{\sigma} = \dfrac{71- 70}{8}=0.125\)

C.) X = 92

\(Z = \dfrac{X- \mu}{\sigma}= \dfrac{92- 70}{8}=2.25\)

Hence, the z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

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Answer:

175 Miles has to be driven to do the plans cost the same.

Step-by-step explanation:

Assume The Chau Drive Y miles .

We Have Given Two Plans ,

Now,Put First Plan=Second Plan (When Both Plans Cost The Same)

50$ + 0.19$ × Y = 57$ + 0.15$ × Y

0.04$ × Y = 7  ⇔  Y = 175 Miles

Answer:

18

Step-by-step explanation:

24/36 = 8/12 = 2/3

2/3 * 9/9 = 18/27

Therefore, the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2).

To show that the equation x^3 - 15x + c = 0 has at most one root in the interval (-2, 2), we can use the concept of the Intermediate Value Theorem and Rolle's Theorem.

Let's assume that the equation has two distinct roots, denoted as a and b, in the interval (-2, 2). Without loss of generality, we assume a < b.

Since the function is continuous on the closed interval [-2, 2] and differentiable on the open interval (-2, 2), we can apply Rolle's Theorem. According to Rolle's Theorem, there exists a point c in the open interval (a, b) such that the derivative of the function at c is zero.

Consider the derivative of the function f(x) = x^3 - 15x + c:

f'(x) = 3x^2 - 15

Setting f'(c) = 0, we have:

3c^2 - 15 = 0

c^2 - 5 = 0

c^2 = 5

Taking the square root of both sides, we get:

c = ±√5

Now, let's consider the function values at the endpoints of the interval (-2, 2):

f(-2) = (-2)^3 - 15(-2) + c = -8 + 30 + c = 22 + c

f(2) = (2)^3 - 15(2) + c = 8 - 30 + c = -22 + c

If c = √5, then f(-2) = 22 + √5 and f(2) = -22 + √5.

If c = -√5, then f(-2) = 22 - √5 and f(2) = -22 - √5.

In either case, the function values at the endpoints have different signs. This implies that there exists at least one value, say k, in the interval (-2, 2) such that f(k) = 0, according to the Intermediate Value Theorem.

However, we assumed at the beginning that there are two distinct roots in the interval (-2, 2), denoted as a and b. This contradicts our finding that there is at most one root in the interval. Hence, our assumption of having two distinct roots is false.

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Answer:

153.86 = π(r^2)

r = √(153.86/π) = 6.998 = 7 inches

d = 2r = 14 inches

Answer:

Diameter of pizza = 14 inches

Step-by-step explanation:

Pizza is shaped like a circle

If the radius of the pizza is r, the area which is the area of a circle of radius r is given by

\(A = \pi r^2\)

Here we are given the area as 153.86 in²

153.86 = π · r²

r² = 153.86 /π

r = √( 153.86 /π )

 = 6.998 in

 ≈ 7 inches

Diameter = 2 x radius

               = 14 inches

Answer:   T=7/2S

Step-by-step explanation:

Answer:

Answer is option C

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

31.875 m

Step-by-step explanation:

We can begin solving the problem by using the formula for the volume of a cylinder and the volume of a cone.

The volume of the well is given by the formula for the volume of a cylinder:

V = πr^2h

where r is the radius of the well (half the diameter, which is 3/2 = 1.5 m) and h is the depth of the well (21 m).

V = π(1.5)^2(21) = 42.5π m^3

The embankment is formed by the earth that was dug out of the well, and it has the shape of a cone. The volume of the cone is given by the formula:

V = 1/3 πr^2h

where r is the radius of the base of the cone (4 m) and h is the height of the embankment.

V = 1/3π(4)^2h = 4/3πh m^3

Now we know that the volume of the embankment is equal to the volume of the well:

V = 42.5π m^3 = 4/3πh m^3

Then we can solve for h by dividing both sides by 4/3π:

h = 42.5π m^3 * 3/4π = 31.875 m

So the height of the embankment is 31.875 m.

The total snowfall is 12 inches. The area of the third rectangle is 1.5 x 2 = 3 inches. We can continue this process for the remaining rectangles, and when all the areas have been added together, we get a total snowfall of 12 inches.

To calculate the total snowfall, we need to calculate the area under the curve of the graph. We can do this by breaking the graph into rectangles and calculating the area of each, then adding them all together. For example, the area of the first rectangle is 0.5 x 2 = 1 inch. The area of the second rectangle is 1 x 2 = 2 inches. The area of the third rectangle is 1.5 x 2 = 3 inches.  The area of the third rectangle is 1.5 x 2 = 3 inches. We can continue this process for the remaining rectangles, and when all the areas have been added together, we get a total snowfall of 12 inches.

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Answer:

x = 5

Step-by-step explanation:

-3 * (x-3) = -6

3x+9 = -6 (divide by 3)

-x + 3 = -2 (minus 3)

-x = -5 (multiply by -1)

x = 5

Answer & Step-by-step explanation: