There are 200 students in the 7th grade class. 98% of the students in the grade are going on the field trip . How many students are going on the field trip? Please show your work :)

Answer:

you have to use the slope equation, which is (y2-y1) / (x2-x1)

3. (5-0)/(1 -(-8))

5/1+8

5/9

4. (3-3)/(-4 -8)

0/-12

the slope is 0

6. (-2-8)/(1-0.5)

-10/0.5

-20

7. (7-(-1))/ (4-4)

7+1/0

8/0

the slope is undefined

Answer:

La respuesta esta abajo

Step-by-step explanation:

Un triángulo es un polígono con tres lados y tres ángulos.

Se dice que dos triángulos son proporcionales si la razón de sus lados correspondientes está en la misma proporción.

de la pregunta, el lado AB es proporcional a DF, AC es proporcional a DE y BC es proporcional a FE

Por lo tanto, dado que ambos triángulos son proporcionales, entonces:

DE / DF = AC / AB

x / 10 = 21/15

x = (21/15) * 10 = 14

The equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

What is function?

For the parent function f(x) and a constant k >0,

then, the function given by  

g(x) = kf(x) can be sketched by vertically stretching f(x) by a factor of k if k>1 (or)

if 0 < k < 1 , then it is vertically shrinking f(x) by a factor of k

As per the given statement that the graph of f(x) is stretched vertically by a factor of 3 i.e

k = 3 >1

so, by definition

g(x) = 3 f(x) = 3 . 8(3)ˣ

= 8(3)ˣ⁺¹

= 24 (3)ˣ

Hence, the equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).

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Answer:

2(4x-2)+3x*2=8x-4+6x=14x-4=122

14x=126

x=9

Step-by-step explanation:

Answer:

Step-by-step explanation:

That's just a simple ratio.

8*1/4 = 2

6*1/4= 1.5

so it would be 2 centimeters wide by 1.5 centimeters tall

(1st picture): y=2x+3 and y=x+5

(2nd picture): y=4x+2 and y =3x+2

(3rd picture): y=2x+1 and y =x+2

(4th picture): 3x and x+3

The solutions to the system of equations are (5,2), no solutions, (7,3), (2,7), no solutions and (3,5) respectively.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

(1) Systems of equations

2x + y = 12

x = 9 − 2y

See the graph given below the solution is the point (5,2).

(2) Systems of equations

x + 2y = 9

2x + 4y = 20

See the graph given below the solution is the point has no solution the two lines are parallel.

(3) Systems of equations

x + 3y = 16

2x − y = 11

See the graph given below the solution is the point (7,3).

(4) Systems of equations

y = 11 − 2x

4x − 3y = -13

See the graph given below the solution is the point (2,7).

(5) Systems of equations

y = 10 + x

-3x + 3y = 30

See the graph given below the system has no solutions.

(6) systems of equations

2x + y = 11

x − 2y = -7

See the graph given below the solution is the point (3,5).

Therefore, the solutions to the system of equations are given below in the figure.

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Answer:

Hey!

Since we know that both expressions lay on a straight line, we know that when both lines add up it should be 180°

We can write the expression as (7x - 1) + (6x - 1) = 180

Simplify

→ (7x + −1) + (6x + −1) = 180

Combine Like Terms

→ (7x + 6x) + (-1 + -1) = 180 → 13 + -2 = 180

Add 2 To Both Sides

→ 13x - 2 + 2 = 180 + 2 → 13x = 182

Divide 13 To Both Sides

13x/13 = 182/13 → x = 14

Hence, the value of x is 14!

-------------------------------------------------

Hope This Helped! Good Luck!

Answer:

B.2x-5=x+25

Step-by-step explanation:

2x+15=35            x = 10

4/5x=8                x = 10

2x-5=x+25          x = 30

2x+7=27             x = 10

4/3x=x+10/3       x = 10

Answer:

Diverges by A.S.T

Step-by-step explanation:

\(\displaystyle \sum^\infty_{n=2}(-1)^{n+1}\frac{5+n}{6+n}\) is an alternating series, so to test its convergence, we need to use the Alternating Series test.

Since \(\displaystyle \lim_{n\rightarrow\infty}\frac{5+n}{6+n}=1\neq0\), then the series is divergent.

Answer:

9

Step-by-step explanation:

7+21+2+17+3+13+7+4+9+7+9=99

there are 11 numbers so you should 99 divided by 11

so answer is 9

Answer:

Mean = 9

Step-by-step explanation:

Mean = Sum of given values/ No. of given values

Sum = 2+3+4+7+7+7+9+9+13+17+21

= 99

n = 11

Mean = 99/ 11

= 9

Answer:

can you say the question once again

Answer: 27 meters

Step-by-step explanation:

To solve the initial value problem y" + 4y = 4u_n(t), where y(0) = 0 and y'(0) = 1, we will follow these steps:

a. Find the Laplace transform of the solution y(t).

The Laplace transform of the given differential equation can be obtained using the properties of the Laplace transform. Taking the Laplace transform of both sides, we get:

s^2Y(s) - sy(0) - y'(0) + 4Y(s) = 4U_n(s),

where Y(s) represents the Laplace transform of y(t) and U_n(s) is the Laplace transform of the unit step function u_n(t).

Since y(0) = 0 and y'(0) = 1, the equation becomes:

s^2Y(s) - s(0) - 1 + 4Y(s) = 4U_n(s),

s^2Y(s) + 4Y(s) - 1 = 4U_n(s).

Taking the inverse Laplace transform of both sides, we obtain the solution in the time domain:

y''(t) + 4y(t) = 4u_n(t).

b. Find the solution y(t) by inverting the transform.

To find the solution y(t) in the time domain, we need to solve the differential equation y''(t) + 4y(t) = 4u_n(t) with the initial conditions y(0) = 0 and y'(0) = 1.

The homogeneous solution to the differential equation is obtained by setting the right-hand side to zero:

y''(t) + 4y(t) = 0.

The characteristic equation is r^2 + 4 = 0, which has complex roots: r = ±2i.

The homogeneous solution is given by:

y_h(t) = c1cos(2t) + c2sin(2t),

where c1 and c2 are constants to be determined.

Next, we find the particular solution for the given right-hand side:

For t < n, u_n(t) = 0, and for t ≥ n, u_n(t) = 1.

For t < n, the particular solution is zero: y_p(t) = 0.

For t ≥ n, we need to find the particular solution satisfying y''(t) + 4y(t) = 4.

Since the right-hand side is a constant, we assume a constant particular solution: y_p(t) = A.

Plugging this into the differential equation, we get:

0 + 4A = 4,

A = 1.

Therefore, for t ≥ n, the particular solution is: y_p(t) = 1.

The general solution for t ≥ n is given by the sum of the homogeneous and particular solutions:

y(t) = y_h(t) + y_p(t)

y(t) = c1cos(2t) + c2sin(2t) + 1.

Using the initial conditions y(0) = 0 and y'(0) = 1, we can determine the values of c1 and c2:

y(0) = c1cos(0) + c2sin(0) + 1 = c1 + 1 = 0,

c1 = -1.

y'(t) = -2c1sin(2t) + 2c2cos(2t),

y'(0) = -2c1sin(0) + 2c2cos(0) = 2c2 = 1,

c2 = 1/2.

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Answer:

Solving steps:

Question: jasmine has all nickels x and dimes y in her coin jar. if she has 36 coins in all, and four more dimes than. nickels find how much money she has in her coin jar

Find: how much money she has in her coin jar

Solution: let's make an equation for this problem

She has 4 more dimes than nikels:y= x+4 Let's use this value for y in the next equation:

she has 18 nickels and 36-18= 18 dimes

The required Jasmine has 16 nickles and 20 dimes which constitute  $2.80 in her coin jar.

Let's use the given information to set up a system of equations to solve for the number of nickels (x) and dimes (y) in Jasmine's coin jar.

We are given that Jasmine has a total of 36 coins in her jar, so we have the equation:

x + y = 36 -- Equation 1

We are also given that Jasmine has four more dimes than nickels, which can be expressed as:

y = x + 4 -- Equation 2

Now, let's solve this system of equations. We can substitute Equation 2 into Equation 1 to eliminate y:

x + (x + 4) = 36

2x = 36 - 4

x = 16

Now that we have the value of x, we can substitute it back into Equation 2 to find y:

y = x + 4

y = 16 + 4

y = 20

Therefore, Jasmine has 16 nickels (x) and 20 dimes (y) in her coin jar.

To find the total amount of money she has, we need to calculate the value of the nickels and dimes separately:

Value of nickels = 0.05 * 16 = $0.80

Value of dimes = 0.10 * 20 = $2.00

The total amount of money in her coin jar is:

$0.80 + $2.00 = $2.80

Jasmine has $2.80 in her coin jar.

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Answer:

a. 121

b.2

Step-by-step explanation:

a.

33/3×11>11

11×11>11

121>11

b.

5×2/8<5

10/8<5

1.25<5

1. Characteristics of science: Some of the basic characteristics of science are non-dogmatic, falsifiability, empiricism, and skepticism. Science is a methodical process that relies on empirical evidence to explain, predict, and understand natural phenomena.

2. Descriptive study: The three types of descriptive study discussed in class were naturalistic observation, case studies, and surveys/interviews.
3. Case study of Phineas Gage: Phineas Gage was a railroad worker who survived a severe brain injury in 1848. His case is an important example of the relationship between brain function and behavior. After the accident, Gage's personality changed dramatically, which allowed researchers to identify specific regions of the brain that are responsible for controlling emotion and behavior.

4. Self-report studies: Self-report studies are a type of research in which participants provide information about their thoughts, feelings, or behaviors through interviews, surveys, or questionnaires. A sample is a group of people that is selected to participate in a study, while a population is the larger group of people that the sample is intended to represent. Representative sampling is important because it helps to ensure that the sample accurately represents the population, which allows for generalizations to be made about the population based on the sample.

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Answer: n < 6

Step-by-step explanation:

multiply both sides.

4 + n/3 < 6

move the constant to the right.

12 + n < 18

calculate.

n < 18 - 12

solution:

n < 6

The interval would be wider, with more plausible values, and the margin of error would be larger.

What is confidence interval ?

A confidence interval is a statistical range of values that is used to estimate an unknown population parameter, such as the mean or standard deviation of a distribution, based on a sample of data.

a) The confidence interval captures the plausible range of values for the population mean waist circumference of adult women in the United States. More specifically, it is the range of values that is likely to contain the true population mean with 95% confidence.

b) The confidence interval can be expressed as: "We are 95% confident that the true population mean waist circumference of adult women in the United States falls between 99.8 and 102.0 centimeters."

c) The margin of error for this confidence interval can be calculated by taking half the width of the interval. Therefore, the margin of error is (102.0 - 99.8) : 2 = 1.1. Thus, we can express the confidence interval as "The estimate is 100.9 centimeters plus or minus 1.1 centimeters."

d) A 99% confidence interval based on the same data would be larger than the 95% confidence interval. This is because a 99% confidence level requires a wider interval to capture the true population mean with 99% confidence.

Therefore, the interval would be wider, with more plausible values, and the margin of error would be larger.

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The algebraic expression for the given phrase would be: c + 6, where c represents the unknown quantity (number of cars in the garage) and 6 represents the number of cars outside.

To translate the following phrase into an algebraic expression, we need to use the variable c to represent the unknown quantity. The phrase is "the total of the number of cars in the garage and the 6 cars outside."

So, the algebraic expression is: c + 6Where "c" represents the number of cars in the garage.

The expression c + 6 represents the total number of cars, which is the sum of the number of cars in the garage and the 6 cars outside.

Example: If there are 10 cars in the garage, then the total number of cars would be: c + 6= 10 + 6= 16.

So, there would be 16 cars in total.

The expression c + 6 would always give us the total number of cars, regardless of the value of "c."

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The smallest sample size n that provides the desired accuracy is 10.

To find the smallest sample size n that provides the desired accuracy, we can use the formula:

n = (Z-value * standard deviation / margin of error)²

Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)

Substituting the values, we get:

n = (1.96 * 1.5 / 0.3)²
n = 9.8

Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:

n = 10

Therefore, the smallest sample size n that provides the desired accuracy is 10.

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The difference between the number of correct and incorrect answers is 34.

To find the difference between the number of correct and incorrect answers, we first need to determine the number of correct answers. We know that the point score is obtained by dividing the final score by 10. In this case, the point score is 45. Since each correct answer is worth 1 point, the number of correct answers is equal to the point score. Therefore, the student answered 45 questions correctly.  

Next, we need to find the number of incorrect answers. Each incorrect answer is worth 4 1-point, so we divide the point score by 4. In this case, 45/4 equals 11.25.

Rounding to the nearest whole number, we get 11. Therefore, the student answered 11 questions incorrectly.  

Finally, we calculate the difference between the number of correct and incorrect answers by subtracting the number of incorrect answers from the number of correct answers: 45 - 11 = 34.

Thus, the difference between the number of correct and incorrect answers is 34.

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Answer:

b. $9.96

Step-by-step explanation:

To solve this problem, let's first calculate how much Nina charges for shipping per painting. We'll divide the total shipping cost by the number of paintings sold.

When Nina sells 4 paintings and charges a total of $9.96 for shipping:

Shipping cost per painting = $9.96 / 4 = $2.49

When Nina sells 8 paintings and charges a total of $19.92 for shipping:

Shipping cost per painting = $19.92 / 8 = $2.49

We can see that regardless of the number of paintings sold, Nina charges $2.49 for shipping per painting.

Now let's calculate how much Nina charges for shipping 20 paintings and 16 paintings:

Shipping cost for 20 paintings = $2.49 * 20 = $49.80

Shipping cost for 16 paintings = $2.49 * 16 = $39.84

The difference in shipping charges for 20 paintings and 16 paintings is:

$49.80 - $39.84 = $9.96

Therefore, Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings. The correct option is (b) $9.96.

Answer:

every 1 candy bar sold she earned 0.65 cents

Step-by-step explanation:

Answer:

35.75$/55=0.65$

Step-by-step explanation:

If any doubt leave a comment

Answer: See explanation

Step-by-step explanation:

x=-(2-2*the square root of 6)/5, about 0.58

or

x=-(2+2*the square root of 6)/5, about -1.38

The values of the x from equation  \(5x^2+4x-4=0\) are  x = 0.5798 and -1.38.

Given that:

Equation:  \(5x^2+4x-4=0\)

To find the values of x that satisfy the equation \(5x^2+4x-4=0\), use the quadratic formula:

\(x = \dfrac{ -b \± \sqrt{b^2 - 4ac}}{ 2a}\)

Compare the equation with \(ax^2 + bx + c = 0\).

Here, a = 5, b = 4, and c = -4.

Plugging in the values to get,

\(x = \dfrac{-4 \± \sqrt{4^2 - 4 \times 5 \times (-4)}}{2 \times 5} \\x = \dfrac{-4 \± \sqrt{16 +80}}{10} \\x = \dfrac{-4 \± \sqrt{96}}{10}\\x = \dfrac{-4 \± {4\sqrt6}}{10}\)

So the solutions for x are calculates as:

Taking positive sign,

\(x = \dfrac{-4 + {4\sqrt6}}{10}\\x = \dfrac{-4 + {9.798}}{10}\\\)

x = 5.798/10

x = 0.5798

Taking negative sign,

\(x = \dfrac{-4 - {4\sqrt6}}{10}\\x = \dfrac{-4 - {9.798}}{10}\\\)

x = -13.798/10

x = -1.38

Hence, the exact solutions for the equation  \(5x^2 + 4x - 4 = 0\)  are x = 0.5798 and -1.38.

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Answer:

x = -8

Step-by-step explanation:

Answer:

tally 4 which has 19 points

Step-by-step explanation:

22+19=41

41/2 = 20.5, divided by two because the team is involved in only two game tournament

this is the least she should have in average to win the MVP award.

since more then 20 means not including 20 but more than of it.

969 teams of 3 students can be formed from 19 students.

This is done using the principles of permutation and combinations.

Thus the number of groups= nCr = n! / (n-r)! x r! Where n is the total number of objects and r is the number of objects in the group which we select. Here students are the objects.

From the  given question,

The total number of students n= 19.

The number of students in a group=3.

The total number of groups =nCr

                                              = n! / (n-r)! x r!

                                              = 19!/ 16! x 3!

                                              = 5814/6

                                               =   969.

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