Rewrite x/-4 ≥ -1 so the negative sign in the fraction is with x. Then multiply each side by 4. What inequality do you get?

Answers

Answer 1

Answer:

hii

Step-by-step explanation:


Related Questions

-7.2 as a mixed number.

Answers

Lzkdfkfjejwjekerjfif

Answer:

7 1/5                 

Explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

7.2=7.2/1

Multiply to remove 1 decimal places. Here, you multiply top and bottom by 10^1 = 10

7.2/1×10/10=72/10

Find the Greatest Common Factor (GCF) of 72 and 10, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,

7/2÷2/10÷2=36/5

Simplify the improper fraction,

=7 1/5

In conclusion,

−7.2=−7 1/5

Hope it helped. :)

Consider these scenarios. 1. An elephant weighs 1. 5 × 104 units. 2. A mouse weighs 2. 13 × 10-5 units. 3. A puppy weighs 1. 2 × 102 units. Determine the unit of measurement that best represents each scenario. 1. 2. 3.

Answers

An ounce unit will best represent each scenario.

The average weight of an elephant is around 3000-4000 kg.

The average weight of a mouse = 15-20 grams

The average weight of a puppy = 25-30kg

It is given that

Weight of the elephant = \(1.5 * 10^5\) units ≈150000 units

Weight of the mouse = \(6.3*10^2\) units ≈630 units

Weight of the puppy = \(1.2*10^3\) units ≈1200 units

What is the relation between an ounce and a kg?

1 ounce = 0.0253495 kg

150000 ounces = 3800kg, near to actual value

630 ounces = 16kg, near to actual value

1200 ounces = 30kg, near to actual value

Therefore, an ounce unit will best represent each scenario.

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solvle the equation 18×4(4÷393)-36+8

Answers

The given expression is

18×4(4÷393)-36+8

We would simplify by applying the correct order of operations which is known as PEDMAS where

P represents parentheses

E represents exponents

D represents division

M represents multiplication

A represents addition

S represents subtraction

Thus, we would simplify the terms in the parentheses first.

4/393

Then we would multiply 4/393 by 18 * 4. It becomes

18 * 4 * 4/393 = 288/393

The expression becomes

288/393 - 36 + 8

The next step is to add 36 and 8

36 + 8 = 44

The expression becomes

288/393 - 44

= (288 + 17292)/393

= 17580/393

a pair of dice is rolled. what is the probability that you roll an even number or a 3?

Answers

A pair of dice is rolled.

Each dice has 6 outcomes.

So, the total number of outcomes for a pair of dice is 6×6 = 36

These 36 outcomes are given below

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

The probability that you roll an even number is given by

There are 9 such outcomes where you can have an even number

(2, 2) (2, 2) (2, 6) (4, 2) (4, 4) (4, 6) (6, 2) (6, 4) (6, 6)

\(P(even)=\frac{9}{36}\)

The probability that you roll a 3 is given by

There are 11 such outcomes where you can roll a 3

(1, 3) (2, 3) (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6) (4, 3) (5, 3) (6, 3)

\(P(3)=\frac{11}{36}\)

Finally, the probability that you roll an even number or a 3 is

\(\begin{gathered} P(even\: or\: 3)=P(even)+P(3) \\ P(even\: or\: 3)=\frac{9}{36}+\frac{11}{36} \\ P(even\: or\: 3)=\frac{5}{9} \end{gathered}\)

Therefore, the probability is 5/9




The length of XY is?

The length of XY is?

Answers

Answer:

mn

Step-by-step explanation:

You have 20 quarters. You find ​40% more quarters in your room. Then you go shopping and spend ​50% of the total number of quarters. Write an expression to represent the total number of quarters you take with you shopping.​ Calculate, in​ dollars, the amount of money you have left

Answers

The expression for the quarters you take is (1 - 0.50) x 28

The money you have left is $3.50.

How much do you have left?

The expression that is used to represent the total number of quarters is:

Total number of quarters = number of quarters you have x ( 1 + percent you find/100)

Total number of quarters = 20 x (1 + 40/100)

Total number of quarters = 20 x 1.40 = 28 quarters

Number of quarters you have left = (1 - percentage spent/100) x number of quarters

= (1 - 50%/100) x 28

(1 - 0.50) x 28

0.50 x 28 = 14 quarters

Value of 14 quarters in dollars = 14 x 0.25 = $3.50

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what is the sequence of the following tasks in a perceptron? initialize weights of perceptron randomly go to the next batch of dataset if the prediction does not match the output, change the weights for a sample input, compute an output

Answers

The sequence of steps you provided is generally correct for training a perceptron, although there are some additional steps that might be included in the process depending on the specific implementation.

Here is a more complete list of steps that might be followed in training a perceptron:

Initialize the weights of the perceptron randomly.For each sample in the training dataset:Compute the output of the perceptron for the given input using the current weights.If the predicted output does not match the desired output, update the weights of the perceptron using an optimization algorithm, such as gradient descent.Repeat the process for the next batch of samples in the dataset.Continue this process until the perceptron has been trained to make accurate predictions for the given input.

It's important to note that the specific details of how the perceptron is trained will depend on the specific implementation, such as the optimization algorithm used to update the weights, the size of the training dataset, and the number of epochs (iterations) of training.

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Please help me draw this and send it to me please I really need help

Please help me draw this and send it to me please I really need help

Answers

Answer:

sorry i cannot draw it right now

Step-by-step explanation:

I wil do the radian of the degrees

London: 0.013439

Glasgow: 6.21337

Leeds: 0.00628319

Guernsey: 2.82743

In the given rate of 12,060 cows per 30 farms, what would be the unit rate per farm?

Answers

Answer:

402 cows per farm

Step-by-step explanation:

12060/30

=402

f(x)=2x^3-6x+k and the remainder when f(x) is divided by x+1=7 then what is the value of k

Answers

Given: f(x)=2x(cube)-6x+x

reaminder of f(x) when (x+1) diveded

to find value of k

solution,

f(x)=2x(cube)-6x+k

f(-1)=7

2(-1)(cube)+6+k=7

4+x=7

k=7

Hence,k=7

G(Q) = 5 + 3Q + 202 - Q2 C2(Q) = 3 + 4Q + 2 1. Find the MC function for both C1(Q) AND C2(Q). 2. Find AVC function for both Ci(Q) AND C2(Q). 3. Find AFC function for both C1(Q) AND C2(Q). 4. Find AC function for both Ci(Q) AND C2(Q). 5. Find ATC function for both Ci(Q) AND C2(Q).

Answers

MC function.

       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

Find the ATC functions for C1(Q) and C2(Q) given the provided cost functions?

             

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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2.1 The sieve analysis results for an aggregate sample is displayed below. (a) Calculate the percentage passing for each sieve size

Answers

We determine the cumulative weight retained at each sieve and then calculate the cumulative percentage passing by dividing the cumulative weight passing by the total weight of the sample and multiplying by 100.

To calculate the percentage passing for each sieve size in a sieve analysis, we need to determine the cumulative percentage passing at each sieve size.

The sieve analysis provides information about the particle size distribution of an aggregate sample. It involves passing the sample through a series of sieves with different mesh sizes, and measuring the amount of material retained on each sieve.

To calculate the percentage passing, we first need to determine the cumulative weight retained at each sieve size. This is done by subtracting the weight retained on a particular sieve from the weight retained on the previous sieve.

Once we have the cumulative weight retained, we can calculate the cumulative percentage passing by dividing the cumulative weight passing by the total weight of the sample and multiplying by 100.

Here is an example:

Sieve Size (mm) | Weight Retained (g)

4.75 | 50

2.36 | 30

1.18 | 20

0.6 | 15

0.3 | 10

0.15 | 5

To calculate the cumulative percentage passing:

Calculate the cumulative weight retained:

Cumulative weight retained at sieve 4.75 mm = 50 g

Cumulative weight retained at sieve 2.36 mm = 50 g + 30 g = 80 g

Cumulative weight retained at sieve 1.18 mm = 80 g + 20 g = 100 g

Cumulative weight retained at sieve 0.6 mm = 100 g + 15 g = 115 g

Cumulative weight retained at sieve 0.3 mm = 115 g + 10 g = 125 g

Cumulative weight retained at sieve 0.15 mm = 125 g + 5 g = 130 g

Calculate the cumulative percentage passing:

Cumulative percentage passing at sieve 4.75 mm = (Total weight - Cumulative weight retained) / Total weight * 100 = (130 g - 50 g) / 130 g * 100 = 61.54%

Cumulative percentage passing at sieve 2.36 mm = (130 g - 80 g) / 130 g * 100 = 38.46%

Cumulative percentage passing at sieve 1.18 mm = (130 g - 100 g) / 130 g * 100 = 23.08%

Cumulative percentage passing at sieve 0.6 mm = (130 g - 115 g) / 130 g * 100 = 11.54%

Cumulative percentage passing at sieve 0.3 mm = (130 g - 125 g) / 130 g * 100 = 3.85%

Cumulative percentage passing at sieve 0.15 mm = (130 g - 130 g) / 130 g * 100 = 0%

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The point (0.913,0.408) lies in the terminal side of angle 0. What is the tangent of the angle?

Answers

The tangent of the angle is approximately 0.447.

What is the tangent of the angle?

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle. It is denoted by the function "tan" followed by the angle symbol in parentheses.

We can use the coordinates of the given point to find the tangent of the angle. Let's first plot the point (0.913, 0.408) in the Cartesian plane:

From the given information, we know that the point lies on the terminal side of an angle of 0, which means it lies on the positive x-axis. Therefore, the angle between the positive x-axis and the point is 0 degrees or 0 radians.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side of a right triangle. In this case, since the angle is 0 degrees or 0 radians, we can consider a right triangle where the hypotenuse coincides with the positive x-axis, the adjacent side coincides with the x-axis, and the opposite side coincides with the y-axis. This gives us a right triangle with a base of length 0.913 and a height of 0.408:

Using the definition of tangent, we have:

tangent of the angle = opposite side / adjacent side = 0.408 / 0.913

Thus, the tangent of the angle is approximately 0.447.

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y+4= 2/3 (x+3) written in standard form​

Answers

2x-3y=6 is correct:)

state and prove angle sum property of a triangle

Answers

Statement:-

The sum of all the interior angles of a triangle is 180°. This is known ad the angle sum property of a triangle.

Proof :-

Consider a

state and prove angle sum property of a triangle

1. If two opposite sides of a rectangle increase in length, how must the other two opposite sides change if the area of the rectangle is to remain constant? Choose the correct answer below. O A. If two opposite sides of a rectangle increase in length, the other two opposite sides increase in length if the area of the rectangle is to remain constant. OB. If two opposite sides of a rectangle increase in length, the other two opposite sides decrease in length if the area of the rectangle is to remain constant. OC. The other two opposite sides must remain the same length.

Answers

When two opposite sides of a rectangle increase in length, the other two opposite sides decrease in length if the area of the rectangle is to remain constant. Thus, option (B) is the correct answer.

How do I find the length of opposite sides of a rectangle?

In a rectangle, the opposite sides are of equal length. As a result, if you have the length of one side of a rectangle, you can find the length of the opposite side. Furthermore, if you know the length and width of a rectangle, you can find the area, perimeter, and diagonal of the rectangle.

The area of a rectangle is given by A = l × w,

where A represents the area, l represents the length, and w represents the width.

To find the length and width of a rectangle, use the formula A = l × w.

If you know the length of one side of a rectangle, you can calculate the length of the opposite side because the opposite sides of a rectangle are equal in length.

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Hello happy Thursday, today I have an problem that I’m struggling in which is “Mrs.Johnson baked 2 dozen cookies. Two-thirds of the cookies were oatmeal. How many oatmeal cookies did Mrs. Johnson bake?”

Hello happy Thursday, today I have an problem that Im struggling in which is Mrs.Johnson baked 2 dozen

Answers

Answer:

16 oatmeal cookies

Step-by-step explanation:

2 dozens = 24. You would multiply 24 by 2/3, which is 48/3 but simplifed to 16. Hope this helps! :)

16 because one third of a dozen is 8 and there was 24

Last one I promise!


In science class, Brandi estimates the mass of a sample to be 107 grams. The actual mass of the sample is 104 grams. Find the percent error of Brandi’s estimate. Round your answer to the nearest tenth.

Answers

The percent error of Brandi’s estimate to the nearest tenth is equal to 2.9%.

What is percentage error?

In Mathematics, percentage error is also referred to as percent error and it can be defined as a measure of the extent to which an experimental value (numerical) differs from the actual (theoretical) numerical value.

Mathematically, percentage error can be calculated by using this expression;

Percent error = {experimental value - actual value}/{actual value} × 100

By substituting the given parameters into the percentage error formula, we have;

Percent error = {107 - 104}/{104} × 100

Percent error = 3/104 × 100

Percent error = 0.029 × 100

Percent error = 2.9%.

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whats the average between 95 and 128

Answers

Answer:

Below!

Step-by-step explanation:

111.5

In ▰STUV, if SW= -3y+5 and UW= 2y-6, find the value of y to the nearest tenth.

In STUV, if SW= -3y+5 and UW= 2y-6, find the value of y to the nearest tenth.

Answers

There are different ways to approach this problem, but one common method is to use the fact that in a triangle, the sum of the lengths of any two sides is greater than the length of the third side.

Find the value of y to the nearest tenth?

Applying this to triangle STU, we get:

ST + TU > SU (1)

ST + US > TU (2)

TU + US > ST (3)

Substituting the given values, we get:

(-3y+5) + (2y-6) > UW

-y-1 > y-6

-2y > -5

y < 2.5

So we know that y must be less than 2.5 for the triangle to be possible. Now we can check the other sides of the triangle:

ST + TU > SU (1)

(-3y+5) + (2y-6) > ST

-y-1 > ST

ST + US > TU (2)

(-3y+5) + UW > TU

(-3y+5) + (2y-6) > TU

-y-1 > TU

TU + US > ST (3)

UW + (-3y+5) > ST

(2y-6) + (-3y+5) > ST

-y-1 > ST

Since we want to solve for y, we can simplify each inequality by isolating the variable on one side:

-y-1 > ST (4)

-y-1 > TU (5)

-y-1 > ST (6)

Now we can combine the three inequalities:

(-y-1) + (-y-1) + (-y-1) > ST + TU + US

-3y - 3 > ST + TU + US

Substituting the given values, we get:

-3y - 3 > (-3y+5) + (2y-6) + UW

-3y - 3 > -y - 1

Simplifying this inequality, we get:

-2y > 2

y < -1

This contradicts our earlier result that y must be less than 2.5, so there is no solution for y that makes the triangle possible. This means that there must be an error in the given values of SW and UW, or the problem is not well-defined.

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Answer:

2.2

Step-by-step explanation:

Solve the following linear system of equations by Cramer's rule method;
2x+4y+2z=16
−2x−3y+z=−5
2x+2y−3z=−3
​Rearrange as the form of Ax=B
Find the inverse of the coefficient matrix (A⁻¹); and
Solve the system of equations

Answers

The solution of the given linear system of equations is x = 2, y = 1 and z = 2.

Given that the linear system of equations is

2x + 4y + 2z = 16-2x - 3y + z = -52x + 2y - 3z = -3

To solve the system of equations by Cramer's rule method, arrange them in the form of Ax = B as below:

A = [2, 4, 2; -2, -3, 1; 2, 2, -3], x = [x, y, z] and B = [16, -5, -3]

To find the inverse of the coefficient matrix A⁻¹, first, find the determinant of A as below:

|A| = 2[-3 - 2] - 4[-2 + 2] + 2[-8 + 1] = -12

The determinant is non-zero, hence A is invertible

A⁻¹ = 1/|A| [adj A]

where adj A is the transpose of the cofactor matrix [C] of A:

adj A = [C]T

So, we find [C] by replacing each element of A with its cofactor and taking its transpose matrix as below:

C = [5, 2, 6; 2, -2, 2; -4, -4, -4]

Then [C]T = [5, 2, -4; 2, -2, -4; 6, 2, -4]So, A⁻¹ = 1/|A| [adj A] = 1/(-12) [5, 2, -4; 2, -2, -4; 6, 2, -4] = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2]

To solve the system of equations, we have x = A⁻¹B as below:

x = [-5/6, -1/2, 1/2; -1/6, 1/2, 1/2; 1/2, 1/2, 1/2][16; -5; -3] = [2; 1; 2]

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Factor this expression completely, then place the factors in the proper location on the grid. (Hint: First, factor using difference of perfect squares, then factor completely.) x^6 - y^6

Answers

Answer: x= y =

Step-by-step explanation:

Solve for x and the measure of EFG.​

Solve for x and the measure of EFG.

Answers

Answer:

x=9°

∡EFG=25°

Step-by-step explanation:

Answer:

isolate the variable by dividing each side by factors that doesn't contain the variable. x=35degrees - 7/2.

Step-by-step explanation:

Hope this helped a little :)

Factor: x^2 -9
A. (x − 3)(x-3)
B. (x+3)(x-3)
C. (x – 3)?
D. (x+3)

Answers

Answer:

B

Step-by-step explanation:

(›)
Which is more, 1 tablespoon or 2 teaspoons?

Answers

Answer: 1 tablespoon

Step-by-step explanation:

Help Pls!!!!!! will give brainlest

Help Pls!!!!!! will give brainlest

Answers

Answer:

Very top one

Step-by-step explanation:

the dot is in between -34 and -35 so 34.5

and the arrow is pointing left which means less than

What is the answer to 15a + 9 =

Answers

Answer:

  \(a=-\frac{3}{5}\)

Step-by-step explanation:

\(15a-9=0\\\\15a=-9\\\\a=-\frac{9}{15} \\\\a=-\frac{3}{5}\)

Answer:

Step-by-step explanation:

Use distributive property

15a + 9 = 3*5*a + 3*3

           = 3 (5a + 3)

solve the following equation step by step 7-x=5​

Answers

Answer:

x=2

Step-by-step explanation:

add the x onto the other side so it is positive : 7=5+x

then subtract the 5 from both sides so you can isolate the x : 2=x

rewrite the equation: x=2

Hello

The value of x is 2.

\( \red{ \sf \underline {\underline{Explantation: }}}\)

¿What are equations?

The equations represent an equality between two mathematical expressions that have at least one variable called unknown.

\( \sf \:Solution:\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \begin{gathered}\boldsymbol{\mathsf{7 - x = 5}}\\\boldsymbol{\mathsf{ - x = 5-7}}\\\boldsymbol{\mathsf{ - x = -2}}\ \\ {\mathsf{ x = 2}}\end{gathered}\)

\( \bf \:Verification:\)

\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \begin{gathered}\boldsymbol{\mathsf{7 - 2 = 5}}\\\boldsymbol{\mathsf{ 5=5}}\end{gathered}\)

\(\green{ \sf \: The \: result \: is} \: \red{\longmapsto} \blue 5\)

In triangle ABC, m_A = 55°, m B = 30°, and a = 8. Which equation should you
solve to find b?

In triangle ABC, m_A = 55, m B = 30, and a = 8. Which equation should yousolve to find b?

Answers

Answer:

B) sin55/8 = sin30/b

Step-by-step explanation:

Just did it on AP3X :)

If the side length of a square is 4 inches, it’s area is how many square inches and it’s perimeter is how many inches

Answers

Answer:

The area is 16 inches squared and the perimeter is also 16 inches

Step-by-step explanation:

To find the area, you must multiply the length by the width. Since this is a square, you have to multiply one adjacent side by the other. For perimeter, you can either multiply one side by 4 or add all 4 sides.

Other Questions
If Alfonso has 9 quarters and nickels in his pocket, and they have a combined value of 145 cents, how many of each coin does he have?PLEASE HELP!!! IM GIVING 20 POINTS!! THANKSSSS When renting a limo for prom, the number of people is inversely proportional to the cost per person. Originally there were 3 people and the cost per person was $72. If the number of people changed to 12, what would be the new cost per person? __________ were middle paleozoic fish that had paired fins and scales on their bodies. if you were picking a material to make an artificial levee what major characteristic would you look for? Jay is nervous about giving a presentation at work. His presentation sounds fine when he practices alone, but it goes even better when he delivers his presentation to his boss. Because Jay performs even better in front of other people than when he is alone, he is most likely experiencingSelect one:a. social loafing.b. group polarization.c. social facilitation.d. normative influence. Please explain how to solve thesequestions.Jason Smith is a foreign exchange trader. At a point in time, he noticed the following quotes. Spot exchange rate $:SFr = 1.6627 Six-month forward exchange rate $:SFr 1.6558 Six-month $ interest rate Refer to Question 1. If a sample of 10 bottles were selected and the average number of ounces was 12.005, what is the value of the test statistic? The population standard deviation is 0.01. Round your answer to three decimal places. Find tan(a) in the triangle.Choose 1 answer:A. 7/25B. 24/25 C. 7/24 D. 24/7 In Turkey, how is the President chosen? The force exerted by an electric charge at the origin on a charged particle at a point (x,y,z) with position vector r = (x,y,z) is F(r) =Kr/||r||^3. Where k is a constant. Find the work done as the particle moves along a straight line from (2, 0, 0) to (2,3,5) "Four times a number is no more than 36." Assume the following: the required reserve ratio is 15%. Currency in circulation is 500 billion. Checkable deposits are worth 700 billion. Excess reserves equal 1 billion. a) How much is M1? b) Find the currency ratio and the excess reserves ratio. c) Calculate the money multiplier. d) Interpret the multiplier found in part c Paul recently applied for CFP Certification. Which of the following would always bar him from certification? a) 2 or more personal bankrupcies b) Felony conviction for perjury last year. c) Felony conviction for aggravated assault d) Prior revocation of a real estate license General Information. A brief introduction about the caffeine. Simplify 5 24 4 24 +ProblemStep 1Step 2Step 3Step 4Step 53(-4 + x) -5x = 7x + 15-12 +3x -15x = 7x + 115,-12 -12x + 12x = 7x + 12x +15-12 = 19x + 15-12 -15 = 19x + 15 -151-27 = 19x8Step 6x= - 1 19 Y= 5x -8 function rule Explain the difference between a literal interpretation of poetry and a figurative interpretation of poetry 1. Jillian and Harold both leave the mall to go home headed in different directions. The angle between their paths towards home is 57(degrees). Harold lives 3.7km from the mall and Jillian lives 2.3km. Determine how far apart these two friends live from each other. Solve this problem using the appropriate law. uranium contains two isotopes, u-235 with an atomic mas of 235 g/mol, and u-238 with an atomic mass of 238g/mol. u-235 is needed as a fuel in nuclear reactors. until recently, the method used to separate u-235 from u-238 was by gas diffusion. use u-235 as r1 and u-238 as r2 and determine the rate of diffusion and which gas will diffuse faster. u-235 diffused 1.01 times slower than u-238 u-235 effused 1.01 times faster than u-238 u-235 effused 2.01 times slower than u-238 u-235 diffused 1.01 times faster than u-238 u-235 diffused 10.01 times faster than u-238