Today, a bicycle rider rode her bike 5 1/2 miles to raise money for her school. Yesterday, she rode 6 1/4 miles her grandfather said he would give her 2$ for every mile she rode. How much money did she earn?

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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The sample space of outcomes of the given experiment is {r3, r5, s3, s5, t3, t5}

One spinner has three same-sized sectors labeled = r, s and t

A second spinner has two same-sized sectors labeled = 3 and 5

Given that the each spinner is spun once

The sample space is defined as the set of all possible outcomes of the random experiments. Usually the sample space of the random experiment is represented by the letter S.

Here,

The sample spaces are

= {r3, r5, s3, s5, t3, t5}

The total number of outcomes = 6

Therefore, the sample space is {r3, r5, s3, s5, t3, t5}

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Answer:

21.5m^2

Step-by-step explanation:

Start by finding the area of the triangle including the rectangle.

The bottom side equals 7m and the other side equals 9m.

To find the area of the triangle, you multiply the base by the height, then divide by 2: (bh)÷2

(7*9)÷2=63/2m^2 or 31.5m^2

Now you can find the area of just the shaded region. To do this, you will want to find the area of the rectangle then subtract it from the area of the triangle.

To find the area of the rectangle, multiply the length by width.

2*5=10m^2

Now you can subtract the areas.

31.5-10=21.5m^2

Answer:

7200 tomatoes

Step-by-step explanation:

8 shipments of tomatoes at 900 tomatos per shipment add up to 7200 tomatoes.  That';s the product of 8 shipments and 900 tomatoes per shipment.

Answer:

She walks. 8 meters closer and determines the new measure of the angle of elevation to be 52.8°. At each measurement, the survey instrument is 1.7 meters above

Step-by-step explanation:

The height of the flagpole is 13.56 m.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

Using Trigonometry

tan 52.8 = (h- 1.7)x

h- 1.7 = x tan 52.8

and, tan 34.9 =  (h- 1.7) / (x + 8)

(x + 8) tan 34.9 = h - 1.7

So, x tan 52.8 = (x + 8) tan 34.9

tan 52.8 / tan 34.9 = (x + 8)/ x

1.88852217 = 1 + x/8

x = 9.00371408

Then, tan 52.8 = (h - 1.7)/ 9

h = 13.56 m

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Answer:

4 by 5 inch rectangle

Step-by-step explanation:

Answer:

4 by 5 inch rectangle

Step-by-step explanation:

Loading . . .

Linear equation and Linear inequality are differentiatable on the sybolically. The symbol used in linear equation is "=" equality sign and the symbols used in linear inequality are ">","<","

"≤", " ≥".

We need to distinguish between linear inequalities in two variables and systems of linear equations in two variables.

We will first discuss linear equations and then linear inequalities.

Linear Equations:

If a equation is written in the form ax + by + c=0, the equation is said to be a linear equation in two variables. where a, b & c are real numbers and coefficients of x and y. , that is, a and b are not equal to zero.

Characterstic :

For example, 10x+4y = 3 and -x+5y = 2 are linear equations in two variables.

methods for solving linear equations in two variables:

Linear inequality:

Linear inequalities in two variables use the greater than (>), less than (<), greater than or equal to (≥), and less than or equal to (≤) symbols instead of the equal (=) symbol. Use the.

Features:

Example: 8x + 3y ≥ 5 and 2x + 3y < 10 are linear inequalities in two variables.

Method: Graphical

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Answer: -12

Step-by-step explanation: It just is man i think

Answer:

A) 7.5 feet, B) 6 feet, C)8.25 feet, D)4.875, E)15 feet, F)12.5 feet

Step-by-step explanation:

per inch, multiply by 1.5

Answer:

15

12

16.5

9.75

30

25

Step-by-step explanation:

The scale on a set of architectural drawings for a house is 1/2 inch = 1.5 feet. Find the length of each part of the house.

In my opinion, the easiest way to do this is to find how many feet equals 1 inch so that it is easier to multiply.

Multiply both sides of 1/2 inch = 1.5 feet to get

1 inch = 3 feet.

If every inch in the drawing equals 3 feet, then we can write this equation:

If s inches = 3s feet

We can use this a substitute the values given.

Now, let's dive into the problem.

1. Living room:

in this part, s=5, so 3s feet = 3 * 5 = 15 feet

2. Dining room:

s = 4, so 3s feet = 3 * 4 = 12 feet

3. Kitchen:

s = 5.5, so 3s feet = 3 * 5.5 = 16.5 feet

4. Laundry room:

s = 3.25, so 3s feet = 3 * 3.25 = 9.75 feet

5. Basement:

s = 10, so 3s feet = 3 * 10 = 30 feet

6. Garage

s = 8 + 1/3, so 3s feet = 3 * 8 1/3 = 25 feet

I hope this helps! Feel free to ask any questions!

Answer:

Option (4)

Step-by-step explanation:

Volume of a rectangular prism is given by the formula,

Volume = Length × Width × Height

From the picture attached,

Length of the prism = 5 cm

Width of the prism = \(3\frac{3}{4}\) = \(\frac{15}{4}\) cm

Height of the prism = \(8\frac{1}{2}\) = \(\frac{17}{2}\) cm

Volume of the given prism = \(\frac{5}{1}\) × \(\frac{15}{4}\) × \(\frac{17}{2}\)

                                             = \(\frac{5\times 15\times 17}{1\times 4\times 2}\)

                                             = \(\frac{1275}{8}\)

                                             = \(159\frac{3}{8}\) cm³

Therefore, Option (4) is the correct option.

Step-by-step explanation:

'a' region is    53  out of (53+81+106+85 + 64 = 389)

53/389 ths of the 360 degree circle would be the  a's

53/389  * 360 =    49 degrees

The sum of the scientific notation is 8.655 * 10^9

The standard form of a  scientific notation is expressed as A * 10^n

where

A is any value between 1 and 10

n is any integer

Given the expression below;

(8.42 x 10^9) + (2.35 x 10^8)

This can also be expressed as

(84.2 x 10^8) + (2.35 x 10^8)

(84.2+2.35) * 10^8

86.55 * 10^8

8.655 * 10^9

Hence the sum of the scientific notation is 8.655 * 10^9

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The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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Answer:

pls upload photo for your question

Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.

In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.

Slope-Intercept Form:

When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format  y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.

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Answer:

D is the answer

Step-by-step explanation:

it correlates with the points u gave

Answer:

D)

Step-by-step explanation:

Answer:

B 1 1/2 pts

4 fluid ounces = 0.25 pints

24 fluid ounces = 6 pt

The equation (1), which is equivalent to p'(x) = -3p(x), has exactly three distinct real solutions.

Let p(x) = (x - a)(x - b)(x - c)(x - d). Then p(x) = 0 has exactly four distinct real solutions, namely a, b, c, and d.

Taking the logarithmic derivative of p(x), we get:

p'(x)/p(x) = 1/(x - a) + 1/(x - b) + 1/(x - c) + 1/(x - d)

Multiplying both sides by p(x), we obtain:

p'(x) = p(x) / (x - a) + p(x) / (x - b) + p(x) / (x - c) + p(x) / (x - d)

Simplifying, we get:

p'(x) = (x - b)(x - c)(x - d) + (x - a)(x - c)(x - d) + (x - a)(x - b)(x - d) + (x - a)(x - b)(x - c)

Therefore, the equation (1) can be written as p'(x) = -3p(x).

By Rolle's theorem, between any two distinct real roots of p(x) (i.e., a, b, c, and d), there must be at least one real root of p'(x). Since p(x) has four distinct real roots, p'(x) must have at least three distinct real roots.

Moreover, since p(x) has degree 4, it can have at most four distinct real roots. Therefore, p'(x) = 0 can have at most four distinct real roots. Since we know that p'(x) has at least three distinct real roots, it follows that p'(x) = 0 has exactly three distinct real roots.

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Answer: \(3^{rd}\) term of the given sequence is -320.

Step-by-step explanation:

Given sequence : \(b(n)=b(n-1)\cdot\dfrac{4}{5}\) ,  b(1)=−500

For n =2,

\(b(2) =b(1)\cdot\dfrac45=-500\cdot \dfrac45\\\\=-100\cdot4\\\\=-400\)

For n = 3

\(b(3) =b(2)\cdot\dfrac45=-400\cdot \dfrac45\\\\=-80\cdot4\\\\=-320\)

So, \(3^{rd}\) term of the given sequence is -320.

Answer:

3r/s

Step-by-step explanation:

The degree of a quadratic equation is always 2

The substitution that rewrites \(x^8 - 3x^4 +2 = 0\) as a quadratic equation is \(u = x^4\)

The equation is given as:

\(x^8 - 3x^4 +2 = 0\)

Express 8 as 4 * 2

\(x^{4 \times 2} - 3x^4 +2 = 0\)

Rewrite the equation as:

\((x^{4})^2 - 3x^4 +2 = 0\)

Represent x^4 with u.

So, the equation becomes

\(u^2 - 3u +2 = 0\)

Notice that the above equation has a degree of 2.

Hence, the substitution is \(u = x^4\)

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Answer:

B

Step-by-step explanation:

Edge 2022

Answer:

y=3x+2

Step-by-step explanation:

Answer:

altitude = 15 cm

Step-by-step explanation:

you can use the Pythagorean Theorem where you have a right triangle with a base of 8 (half of 16), a hypotenue of 17, and the altitude is 'a'

a² + 8² = 17²

a² + 64 = 289

a² = 225

a = \(\sqrt{225}\)

a = 15

Yes.

There are no repetitive domains in the same set. So it is the function.

The observed proportion is 20/45 (since 20 out of 45 names had already dropped the course).

To find the test statistic value for the hypothesis test, we need to calculate the z-score.

Given that Dr. J claims 40% of his college algebra class will drop his course by midterm, we can calculate the expected proportion of students who would drop the course. Since he selected 45 names at random, the expected number of students who would have dropped the course can be calculated as follows:

Expected number of students who would have dropped the course = (40/100) * 45

Next, we calculate the standard deviation of the expected proportion:

Standard deviation = sqrt((40/100) * (60/100) / 45)

The test statistic value (z-score) is then calculated as:

Test statistic value = (Observed proportion - Expected proportion) / Standard deviation

Here, the observed proportion is 20/45 (since 20 out of 45 names had already dropped the course).

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Respuesta:

x = 5.656854249

Explicación paso a paso:

[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]

x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]

x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]

x = 5.656854249

The correct ratio of cherry halves to white grape halves in the mixture is 3:5.

The inspector noticed one jar has 12 cherry halves and 20 white grape halves. To fix this error, the food packing company should adjust the ratio of cherries to white grapes in the mixture.

Here's how to do it:

Let C be the number of cherry halves in the mixture and G be the number of white grape halves.

According to the given ratio, the proportion of cherry halves in the mixture is given by:

C / (C + G) = 3 / 11

To convert this proportion to a fraction, cross-multiply and simplify:

11C = 3(C + G)8C

= 3G

This means there are 3 white grape halves for every 8 cherry halves.

The total number of fruit halves in the mixture is:

C + G = (8/3)C

So for every 11 fruit halves, there are 8 cherry halves and 3 white grape halves.

Now consider the jar with 12 cherry halves and 20 white grape halves.

This means there are a total of 32 fruit halves in the jar.

To determine the correct number of cherry halves in the jar, use the ratio of cherry halves to fruit halves:

12 / 32 = 3 / 8

Solve for the number of cherry halves in the jar:

C = (12/32) * (8)

= 3

To determine the correct number of white grape halves in the jar, use the ratio of white grape halves to fruit halves:

20 / 32 = 5 / 8

Solve for the number of white grape halves in the jar:

G = (20/32) * (8)

= 5

The correct ratio of cherry halves to white grape halves in the mixture is 3:5.

Therefore, the company should adjust the mixture to add more white grape halves to future jars of fruit cocktail.

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you can improve your algebra skills and build a strong foundation for success in higher-level math courses.

Sure, I can help you with algebra. Algebra is a branch of mathematics that deals with the study of mathematical symbols and rules that are used to represent and manipulate mathematical expressions and equations. Algebra is an important subject in math that builds the foundation for higher-level math concepts like calculus, geometry, and trigonometry. Below are some tips to help you improve your algebra skills:

1. Master the basics: The foundation of algebra is built on a strong understanding of basic math concepts like addition, subtraction, multiplication, and division. Make sure you have a strong grasp of these concepts before moving on to more complex algebraic equations.

2. Practice, practice, practice: The key to mastering algebra is practice. Do as many problems as you can and try to apply the concepts you learn to real-world problems.

3. Understand the formulas: Algebra is all about formulas. Make sure you understand how to apply the formulas correctly to solve problems.

4. Simplify equations: One of the most important skills in algebra is the ability to simplify equations. This involves combining like terms and using the distributive property to simplify equations.

5. Keep a positive attitude: Algebra can be challenging, but it's important to stay positive and keep trying. Don't get discouraged if you don't understand something right away. Keep practicing and seeking help if needed.

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