Multiply simplest form

Multiply Simplest Form

Answers

Answer 1

Answer:

4 [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

2 [tex]\frac{1}{5}[/tex] × 2 [tex]\frac{2}{9}[/tex]

[tex]\frac{11}{5}[/tex] × [tex]\frac{20}{9}[/tex] = [tex]\frac{220}{45}[/tex] = 4 [tex]\frac{8}{9}[/tex]

Answer 2
4 19/45 I think is the answer

Related Questions

Immediately after jumping out of a plane, a 65kg skydiver starts to fall towards the
Earth with an acceleration of 9 8ms? Calculate the downwards force on the
skydiver at the instant he leaves the plane (show working):​

it's physics not maths don't know how to change it

Answers

Answer:637kgms-2

Step-by-step explanation:the force acting on him will be Made X acceleration due to gravity. Then since the mass is 65, multiply it with 9.8, then you will get the force which is 637kgms-2

The 5th power of what number is equal to 3^15?

Answers

3^15 = 14,348,907

Which means...

x^5 = 14,348,907

If we execute [tex]\sqrt[5]{14348907}[/tex] and do the same with x^5 we get...

x = 27

So the 5th power of 27 is equal to 3^15.

⭐ Answered by Hyperrspace (Ace) ⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

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The fifth power of the number 27 is equal to 3¹⁵.

To find the fifth power of a number that is equal to 3¹⁵, we need to determine what number raised to the power of 5 gives us 3¹⁵.

Let's call the number we are looking for "x." So, we need to solve the equation:

x⁵ = 3¹⁵

To find x, we can take the fifth root of both sides of the equation:

x = (3¹⁵[tex])^{(1/5)[/tex]

x = 3³

x = 27

This means that if we raise 27 to the power of 5 (27⁵), we will get 3¹⁵ (3 raised to the power of 15).

In conclusion, the number we are looking for is 27, as 27^5 is equal to 3¹⁵.

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The following examples illustrate the inverse property of multiplication. Study the examples, then choose the statement that best describes the property.

1
5
• 5 = 1

√2 (
1
√2
) = 1

Inverse property of multiplication: For all real numbers except , a • = 1.

Answers

Answer:

[tex]\text{Inverse property of multiplication: For all real numbers except }0,\text{ }a\cdot 1/a=1[/tex]

Explanation:

These are the examples given to illustrate the inverse property of multiplication:

         [tex]1/5\cdot 5=1\\\\ \sqrt{2}\cdot (1/\sqrt{2})=1[/tex]

And you must complete the statement to describe the property.

Inverse property of multiplication: For all real numbers except __, a • __ = 1.

In the first example, 1/5 and 5 are reciprocal numbers of each other, also known as multiplicative inverses. And the example is showing that the product of 1/5 and its reciprocal is 1.

In the second example,    [tex]\sqrt{2}\text{ and }(1/\sqrt{2})[/tex]    are reciprocal of each other. Again, the example is showing that the product of those a number at its reciprocal is 1.

That is a general property, that can be written as:

             [tex]a\cdot 1/a=1[/tex]

That property is satisfied by any number except 0, because the reciprocal of    [tex]0[/tex]  , i.e.    [tex]1/0[/tex]    is not defined.

Then, the statemen is:

[tex]\text{For all real numbers except }0,\text{ }a\cdot 1/a=1[/tex]

The statement that best describes the inverse property of multiplication is: Inverse property of multiplication: For all real numbers except 0, a * a⁻¹ = 1.

This means that if you multiply a number by its reciprocal, you will always get 1.

The examples you provided illustrate this property nicely:

5 * 1/5 = 1

√2 * 1/√2 = 1

Note that the inverse property of multiplication does not hold for the number 0, because the reciprocal of 0 is undefined.

Here is another example of the inverse property of multiplication:

3 * 1/3 = 1

You can check any other real number and its reciprocal, and you will always find that the product is 1.

The inverse property of multiplication is a useful property in mathematics, and it is used in many different areas, such as algebra, calculus, and physics.

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What is distance formula?

Answers

Answer:

d = distance

(x_1, y_1) = coordinates of the first point

(x_2, y_2) = coordinates of the second point

Step-by-step explanation:

Answer:

The distance formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2

Step-by-step explanation:

Suppose that receiving stations​ X, Y, and Z are located on a coordinate plane at the points ​(4​,5​), ​(-6​,-6​), and ​(-14​,2​), respectively. The epicenter of an earthquake is determined to be 10 units from X​, 5 units from​ Y, and 13 units from Z. Where on the coordinate plane is the epicenter​ located?
Find the coordinates of the epicenter.

Answers

Answer:

  (-2, -3)

Step-by-step explanation:

A careful graph shows the point (-2, -3) is at the intersection of the circles whose radii are the given distances from the receiving stations.

_____

The simultaneous equations for the circles can be solved algebraically.

The epicenter is 10 units from X, so lies on the circle ...

  (x -4)^2 +(y -5)^2 = 10^2

  x^2 -8x +16 +y^2 -10y +25 = 100

  x^2 +y^2 -8x -10y = 59

__

The epicenter is 5 units from Y, so lies on the circle ...

  (x +6)^2 +(y +6)^2 = 5^2

  x^2 +12x +36 +y^2 +12y +36 = 25

  x^2 +y^2 +12x +12y = -47

__

The epicenter is 13 units from Z, so lies on the circle ...

  (x +14)^2 +(y -2)^2 = 13^2

  x^2 +28x +196 +y^2 -4y +4 = 169

  x^2 +y^2 +28x -4y = -31

__

Subtracting the second equation from each of the other two, we get ...

  (x^2 +y^2 -8x -10y) -(x^2 +y^2 +12x +12y) = (59) -(-47)

  -20x -22y = 106 . . . . eq1 -eq2

  (x^2 +y^2 +28x -4y) -(x^2 +y^2 +12x +12y) = (-31) -(-47)

  16x -16y = 16 . . . . . . . .eq3 -eq2

These simultaneous linear equations can be solved a variety of ways. We might use substitution:

  x = y+1 . . . . . from eq3 -eq2 divided by 16

  10(y +1) +11y = -53 . . . . . from eq1 -eq2 divided by -2

  21y = -63 . . . . . . . . . . . . simplify, subtract 10

  y = -3

  x = y+1 = -2

The epicenter is located at (x, y) = (-2, -3).

Can you please help me just need the answer pls.please need help

Answers

Answer:

20

Step-by-step explanation:

If there is a 61% chance that carol gets accepted to Andover university, what is the chance, or probability, that carol does not get accepted

Answers

Answer: if I am correct it is 39%

Step-by-step explanation:

The product of t and three is 13.5

Answers

Answer: t = 4.5

Step-by-step explanation: 13.5/3 = 4.5

Answer:

T = 4.5

Step-by-step explanation:

The way to solve this is simple.

You just have to divide 13.5 by 3

and then you get the answer of 4.5!

Hope this helped!

~Oreo!!

Assume that y varies directly with x. If y = -15 when x = -5, find y when x = 3.
Write and solve a direct variation equation to find the answer.
y=

Answers

Answer: Y = 9

Step-by-step explanation:

Y & X

Y = KX

K = Y / X = - 15 / - 5 = 3

X = 3

K= 3

Y=?

Y = KX = 3 x 3 = 9

Therefore, when X = 3, Y = 9

13-9-x/11=3x/22+121/2

Answers

Answer:

x=-248 3/5

Step-by-step explanation:

13-9-x/11=3x/22+121/2

4-x/11=3x/22+121/2

4-121/2=3x/22+x/11

8/2-121/2=3x/22+2x/22

-113/2=5x/22

5x/22=-113/2

5x=(-113/2)*22

5x=-113*22/2

5x=-113*11

x=-1243/5

x=-248 3/5

kk


kk skinny jeans and white jeans are a good no dk mi kk ewwwm ax hi kikknnkekkkl
mmklklslklkwkwkklllmkoppp

Help please! these questions are really confusing me

Answers

Answer:

Figure 1: Option A :   [tex]$ \sqrt{\frac{\textbf{3}}{\textbf{2}}} $[/tex] ;   [tex]$ \frac{\textbf{1}}{\textbf{2}} $[/tex] ;  [tex]$ \sqrt{\textbf{3}}} $[/tex]

Figure 2: Option B: [tex]$ \frac{\sqrt{\textbf{19}}}{\textbf{10}} $[/tex] ;     [tex]$ \frac{\textbf{9}}{\textbf{10}} $[/tex] ;  [tex]$ \frac{\sqrt{\textbf{19}}}{\textbf{9}} $[/tex]

Figure 3: Option C:  [tex]$ \frac{\textbf{4}}{\textbf{5}} $[/tex]  ;  [tex]$ \frac{\textbf{3}}{\textbf{5}} $[/tex] ;  [tex]$ \frac{\textbf{4}}{\textbf{3}} $[/tex]

Step-by-step explanation:

[tex]$ \textbf{Sin A} \hspace{1mm} \textbf{= } \hspace{1mm} \frac{\textbf{opp}}{\textbf{hyp}} $[/tex]

[tex]$ \textbf{Cos A} \hspace{1mm} {\textbf{=} \hspace{1mm} \frac{\textbf{adj}}{\textbf{hyp}} $[/tex]

[tex]$ \textbf{Tan A} \hspace{1mm} \textbf{=} \hspace{1mm} \frac{\textbf{Sin A}}{\textbf{Cos A}} $[/tex]

We can simply follow these three formulas to solve the problem.

Figure 1:

Sin A = [tex]$ \frac{6\sqrt{3}}{12} $[/tex]  = [tex]$ \frac{\sqrt{3}}{2} $[/tex]

Cos A = [tex]$ \frac{6}{12} = \frac{1}{2} $[/tex]

Tan A = [tex]$ \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}} $[/tex]  = [tex]$ \sqrt{3} $[/tex]

Figure 2:

Sin A = [tex]$ \frac{2\sqrt{19}}{20} $[/tex]  = [tex]$ \frac{\sqrt{19}}{10} $[/tex]

Cos A = [tex]$ \frac{18}{20} = \frac{9}{10} $[/tex]

Tan A = [tex]$ \frac{\frac{\sqrt{19}}{10}}{\frac{10}{9}} $[/tex] = [tex]$ \frac{\sqrt{19}}{9} $[/tex]

Figure 3:

Sin A =   [tex]$ \frac{16}{20} $[/tex]   = [tex]$ \frac{4}{5} $[/tex]

Cos A = [tex]$ \frac{12}{20} = \frac{3}{5} $[/tex]

Tan A = [tex]$ \frac{\frac{4}{5}}{\frac{3}{5}} $[/tex]  = [tex]$ \frac{4}{3} $[/tex]

Hence, the answer.

If the equation of a function is y = x2 - 5, what is the output when the input is -1?

Answers

Answer:

y = - 4

Step-by-step explanation:

The output is the value of y for a given input x

For an input of - 1, substitute x = - 1 into the equation.

y = (- 1)² - 5 = 1 - 5 = - 4 ← output

Write an expression to represent:
"15 times a number w"

Answers

Answer:

15×w

Step-by-step explanation:

15 times w is a number bigger 15 times or added up again and again 15 times:

w+w+w+w+w+w+w+w+w+w+w+w+w+w+w or 15×w

Final answer:

The expression to represent "15 times a number w" is written as 15w. Substituting ½ for w would lead to the multiplication 15 × ½, resulting in 7.5.

Explanation:

To represent the phrase "15 times a number w," you would write the algebraic expression 15w. This is accomplished by using the coefficient 15 to indicate that the number w is being multiplied by 15. So, if you were to substitute the value ½ for w into this expression, you would perform the multiplication 15 × ½ to get the result, which simplifies to 7.5.

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How do you solve it

Answers

Answer:

Step-by-step explanation:

400-65=335

What is 199000/10000 as a decimal?

Answers

Answer:

19.9

Step-by-step explanation:

divide 199000 by 10000

=19.9

Answer:

19.9

Step-by-step explanation:

Number 24 only please help me please

Answers

Check the picture below.

the idea being, that if we run an altitude segment from a right-angle in a triangle, and parallel to the opposite side, like in thise case, we end up with 3 similar triangles, a Large one, containing the other smaller ones, a Medium and a Small.

now, let's simply use proportions for those similar triangles.

[tex]\bf \stackrel{Large}{\cfrac{12}{4+x}}=\stackrel{Small}{\cfrac{4}{12}}\implies \cfrac{12}{4+x}=\cfrac{1}{3}\implies 36=4+x\implies \boxed{32=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Small}{\cfrac{4}{y}}=\stackrel{Medium}{\cfrac{y}{x}}\implies 4x=y^2\implies 4(32)=y^2\implies 128=y^2\implies \sqrt{128}=y \\\\\\ \sqrt{64\cdot 2}=y\implies \sqrt{8^2\cdot 2}=y\implies \boxed{8\sqrt{2}=y} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \stackrel{Large}{\cfrac{z}{4+x}}=\stackrel{Medium}{\cfrac{x}{z}}\implies z^2=(4+x)x\implies z^2=4x+x^2\implies z = \sqrt{4x+x^2} \\\\\\ z = \sqrt{4(32)+32^2}\implies z = \sqrt{128+1024}\implies z = \sqrt{1152} \\\\\\ z = \sqrt{576\cdot 2}\implies z = \sqrt{24^2\cdot 2}\implies \boxed{z = 24\sqrt{2}}[/tex]

12) The school that Danielle goes to is selling tickets to a choral performance. On the first day of
ticket sales the school sold 5 senior citizen tickets and 9 student tickets for a total of $144. The
school took in $192 on the second day by selling 14 senior citizen tickets and 6 student tickets.
What is the price each of one senior citizen ticket and one student ticket?

Answers

Answer:

Senior citizen tickets = $9

Student tickets = $11

Step-by-step explanation:

We begin by converting these into simultaneous linear equation;

Senior citizen tickets = a

Student tickets = b

5a + 9b = 144

14a + 6b = 192

5a = 144 - 9b

a = 144/5 - 9b/5

a = 28.8 - 1.8b

We now substitute this into the first equation

14(28.8 - 1.8b) + 6b = 192

403.2 - 25.2b +6b = 192

-19.2b = 192 - 403.2

b = -211.2/-19.2

b = 11

Put the value of b into either equation

5a + 9b = 144

5a + 9(11) = 144

5a +99 = 144

5a = 144-99

5a = 45

a = 9

A scale diagram of a garden shows the length as 14.5 cm. If the scale is 1:150, what is the actual length? The garden is m in length

Answers

Final answer:

The actual length of the garden is 2175 cm.

Explanation:

To find the actual length of the garden, we can use the scale. The scale indicates that 1 cm on the diagram represents 150 cm in real life. Since the length on the diagram is 14.5 cm, we can multiply this length by the scale factor to find the actual length.

Actual Length = Length on Diagram × Scale Factor = 14.5 cm × 150 = 2175 cm

Therefore, the actual length of the garden is 2175 cm.

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If NS = 2x + 7 and SQ = 5x - 23, find NQ

Answers

Incomplete Question Consider here NS = SQ then we may solve for NQ

Answer:

Therefore,

[tex]NQ=54\ units[/tex]

Step-by-step explanation:

Consider N -S -Q as a Straight line as shown in the figure below such that,

[tex]NS = 2x + 7[/tex]

[tex]SQ = 5x -23[/tex]

[tex]NS =SQ[/tex] ..............Consideration

To Find:

NQ = ?

Solution:

[tex]NS =SQ[/tex]   .....Given Consideration

Substituting the values we get

[tex]2x+7=5x-23\\\\3x=30\\\\x=\dfrac{30}{3}=10[/tex]

Therefore,

[tex]NS = 2\times 10 + 7 = 27[/tex]

[tex]SQ = 5\times 10 -23=27[/tex]

N -S-Q is a Straight Line,

Then BY Line Addition Postulate,

[tex]NQ=NS+SQ[/tex]       ...............N-S-Q

Substituting the values we get

[tex]NQ=27+27=54\ units[/tex]

Therefore,

[tex]NQ=54\ units[/tex]

Be sure to explain your reasoning.

Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice. How many cups of orange juice will Sally need if she uses 2 cups of pineapple juice?

Answers

Answer:

Sally need  [tex]5\frac{1}{3}[/tex]  cups of orange juice.

Step-by-step explanation:

Given:

Sally makes a fruit drink using ⅔ of a cup of orange juice for every ¼ of a cup of pineapple juice.

If she uses 2 cups of pineapple juice.

Now, to find the cups of orange juice.

So, to solve by using unitary method:

As, ¼ of a cup of pineapple juice is needed for orange juice of = ⅔ cup.

So, 1 cup of pineapple juice is needed for orange juice of = [tex]\frac{2}{3}\div \frac{1}{4}[/tex]

[tex]=\frac{2}{3}\times \frac{4}{1}[/tex]

[tex]=\frac{8}{3}[/tex]  cups.

Thus, 2 cups of pineapple juice is needed for orange juice  of  = [tex]\frac{8}{3} \times 2[/tex]

= [tex]\frac{16}{3}[/tex]

= [tex]5\frac{1}{3}[/tex] cups.

Therefore, Sally need [tex]5\frac{1}{3}[/tex] cups of orange juice.

11. What must be true about p and q if the equation shows equivalent fractions​

Answers

Answer:

p and q are both equal to 20.

Step-by-step explanation:

40 / 2 = p, so p = 20

100 / 5 = q, so q = 20

Find the greatest common factor (GCF) of both terms 30 and 60

Answers

Answer:

30

Step-by-step explanation:

The round wading pool at the Greenville Community Center has a diameter of 8 feet. What is the pool's circumference? use 3.14 for pi

Answers

Answer:

25.12 feet

Step-by-step explanation:

To find the circumference of the round wading pool with an 8-foot diameter using 3.14 for pi, the formula C = πd is used, resulting in a circumference of 25.12 feet.

The question is asking to find the circumference of a round wading pool with a diameter of 8 feet using 3.14 for pi. The formula for the circumference of a circle is C = πd, where C represents the circumference, π (pi) is approximately 3.14, and d is the diameter of the circle. Given that the diameter (d) of the pool is 8 feet, we substitute the values into the formula to get:

C = 3.14 × 8 feet = 25.12 feet

Therefore, the circumference of the wading pool is 25.12 feet.

Which expression shows a way to find 20% of 950?
950
20
20
What is it

Answers

Final answer:

To find 20% of 950, first convert the percentage to a decimal (20% becomes 0.20) and then multiply that value by 950. The mathematical expression representing this calculation is 0.20 x 950, which yields the result: 190.

Explanation:

The question is asking about how to find 20% of 950 in mathematics. Here's how you do that:

First, turn the percentage into a decimal. 20% becomes 0.20 in decimal form because percent means 'per hundred'. Thus 20 per hundred is 0.20 as a decimal.Next, to find 20% of 950, you multiply the decimal form of the percentage (0.20) by 950. The mathematical expression that represents this operation is: 0.20 x 950.Therefore, 20% of 950 equals 190.

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Final answer:

To find 20% of 950, convert 20% to decimal form as 0.20 and multiply it by 950. The result of this calculation is 190, which represents 20% of 950.

Explanation:

The expression to find 20% of 950 is obtained by multiplying 950 by the percentage in decimal form. Since 20% as a decimal is 0.20, you multiply 950 by 0.20 to find the answer. The calculation is as follows:

Convert the percentage to a decimal: 20% = 0.20Multiply the value by the decimal percentage: 950 × 0.20Calculate the result: 950 × 0.20 = 190

So, 20% of 950 is 190.

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On a map with a scale of 2 cm = 1 km, the
distance from Beau's house to the beach is
4.6 centimeters. What is the actual distance?
A 2.3 km
B 4.6 km
© 6.5 km
D 9.2 km

Answers

Answer:

A. 2.3km

Step-by-step explanation:

Since 2cm = 1km

4.6cm = xkm

xkm = 4.6 x 1 / 2

= 2.3km

Answer:

I would believe that the answer is A. 2.3 km

Step-by-step explanation:

If 2cm=1km

then 4cm=2km

not to mention the km is 1/2 or the cm

so i would believe that .6cm would be .3km

therefore the answer must be 2.3km

A line has a slope of -1/7 and passes through (4, -2) and (p, -1) what is the value of p

Answers

Answer:

Therefore the value of p is -3.

Step-by-step explanation:

Given a line has a slope of [tex]-\frac{1}{7}[/tex] and passes through (4,-2)and (p,-1)

The slope of a line which passes through [tex](x_1,y_1)[/tex]   and   [tex](x_2,y_2)[/tex] is

[tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here [tex]x_1= 4,y_1=-2, x_2=p[/tex] and [tex]y_2= -1[/tex]

Therefore the slope of the line which passes through the given points is

[tex]=\frac{-1+2}{p-4}[/tex]

According to the problem,

 [tex]\frac{-1+2}{p-4}= -\frac{1}{7}[/tex]

[tex]\Leftrightarrow \frac{1}{p-4} =-\frac{1}{7}[/tex]

[tex]\Leftrightarrow p-4=-7[/tex]

[tex]\Leftrightarrow p = -7+4[/tex]

[tex]\Leftrightarrow p = -3[/tex]

Therefore the value of p is -3.

Add
(-1 - i) + (-10 + 3i)

Answers

Answer:

the sum of the 2 expressions is -11+2i.

Step-by-step explanation:

-1-10=-11

-i+3i=2i

-11+2i

What number is halfway between .2 and .3

Answers

Final answer:

The number halfway between 0.2 and 0.3 is 0.25, which is found by adding the two numbers and dividing the total by 2.

Explanation:

The number halfway between 0.2 and 0.3 can be found by calculating the average of the two numbers. To find the average, you add the two numbers together and then divide by 2.

To show the steps:

Add 0.2 and 0.3 together: 0.2 + 0.3 = 0.5.Divide the sum by 2 to get the midpoint: 0.5 ÷ 2 = 0.25.

Therefore, the number that is halfway between 0.2 and 0.3 is 0.25.

The number halfway between 0.2 and 0.3 is 0.25.

To find the number halfway between 0.2 and 0.3, you calculate the average of the two numbers. Here's the step-by-step process:

Add the two numbers together: 0.2 + 0.3 = 0.5.Divide the sum by 2 to get the average: 0.5 / 2 = 0.25.

So, the number halfway between 0.2 and 0.3 is 0.25. This method ensures that you find the exact midpoint between two values.

Western North Carolina Woods have a deer population density of 3.5 deer per acre. If there are a total of 435 deer, how many acres are in this parcel of woods?

Answers

There are about 124.29 acres in this parcel woods

Step-by-step explanation:

The given is:

Western North Carolina Woods have a deer population density of 3.5 deer per acreThere are a total of 435 deer

We need to find how many acres are in this parcel of woods

∵ The population density = 3.5 deer per acre

- That means 1 acre for every 3 dears

∵ There are a total of 435 deer

∴ [tex]\frac{3.5}{1}=\frac{435}{x}[/tex] , where x is the number of acres

- By using cross multiplication

∴ 3.5 × x = 1 × 435

∴ 3.5 x = 435

- Divide both sides by 3.5

∴ x = 124.29

There are about 124.29 acres in this parcel woods

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please help REAL ANSWERS ONLY

Answers

Use the distance formula: sqrt((x2-x1)^2+(y2-y1)^2)

Plug in variables:

sqrt((-3-2)^2+(5-8)^2)

sqrt((-5)^2+(-3)^2)

sqrt(25+9)

sqrt(34)

Rounded to the nearest tenth is 5.8 units

Hope this helped.

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Why was Eusie greatly appreciated?He had a lot of money.He was very unselfish.He showed great sensitivity to the needs of others.He was part of the Dutch resistance.He was very lighthearted. Which of the following statements about insulating materials is correct?a.Insulators can be used to increase the amount of current that can flow through a resistor without increasing its temperature.b.The electric field from a charged object is able to penetrate through an insulating material.c.Insulating materials exhibit a linear relationship between voltage and current.d.Silver and copper are good insulators. A theatre sold a total of 98 adult and senior tickets. Adult tickets sold for 12$ each and senior tickets sold for 8$ each bringing in a total of 1,072$. How many adult tickets were sold The distance from the earth to the sun is about 1.501011 m . Find the total power radiated by the sun. Write a four digit number that is divisible by 3 and 5 Answer the questions below. When you are finished, submit this assignment to your teacher by the due date forfull credit.Total score:of 15 points(Score for Question 1: __of 4 points)1. To go bowling, it costs $2.00 to rent shoes and $3.50 per game. The function t(x) = 3.5x + 2 is used to find thetotal cost, 1, for x amount of games. Find the following and show all work:(a) What is the charge to play 1 game?(b) What is the charge to play 5 games?Please help distinguishing sound and electromagnetic waves The length of a Texas Pee Wee football field is 218 feet greater than its width. The area of the field is 20,160 square feetPlease show work !! What is the impact of exposure to violence on development during middle childhood? How can exposure to violence play a role in bullying? Have you been a victim of bullying or a bully yourself? What is the best way to combat bullying? Calculate the shortest wavelength of light capable of dissociating the BrI bond in one molecule of iodine monobromide if the bond energy, or bond dissociation energy, is 179 kJ/mol . The following transactions occur for Badger Biking Company during the month of June: Provide services to customers on account for $35,000. Receive cash of $27,000 from customers in (a) above. Purchase bike equipment by signing a note with the bank for $20,000. Pay utilities of $3,500 for the current month. Analyze each transaction and indicate the amount of increases and decreases in the accounting equation As a secondary mathematics teacher, Hernandez conducted a study that explored whether giving children recess prior to testing helped their test performance. For one of the semesters, he sends half of his classes out for 10 minutes of recess prior to testing for the other half, he provides 10 minutes of free time after the test. Which of the following best represents the design of Hernandez's study? If you want to know that a test measures some underlying psychological construct, what type of validity evidence would you want to collect? What is the role of the necessary and proper clause of the Constitution?A.It outlines the system of checks and balances.B.That clause grants the government the right to create laws that enable it to carry out its duties.C.It establishes the definitive break between the role of the national government and the role of state governments.D.That clause outlines the differences between implied, reserved, and expressed powers. Which is a policy designed to reduce water contamination Lin is booting up his computer, and during the boot process, the computer powers down. After several unsuccessful attempts to boot his computer, he decides that he needs to start the troubleshooting process. Lin thinks that the problem could be in the power supply, so he uses a power supply tester. The test shows that the power supply is functioning properly.What should Lin check next in the troubleshooting process?a.Processorb.Motherboardc.RAMd.Hard drive When we talk about level of living and options for choice, we are considering Select one: a. life chances. b. social differentiation. c. inducements. d. status spheres. How do simplify 4(x-3)+5(x-3) One of your female offenders is a single mother with a six-year old daughter who attends elementary school near your office. Knowing that she has lunch with her daughter every Wednesday, you schedule this offender's next probation appointment to meet with you immediately after her visit at the school. When the offender arrives at your office, you search her coat and find a small glass pipe and two off-white nuggets that resemble crack cocaine. When questioned, the offender readily admits that she had visited her daughter's school prior to the probation appointment. However, she tells you that the coat was borrowed from a friend because of the cold weather. 1. What dilemmas are presented in this situation? Based on the definition of an alliance, what is an example of an alliance that you have learned about during the American Revolution?Write your response in one to two complete sentences.