I need help with 25 and 26 plzz

I Need Help With 25 And 26 Plzz

Answers

Answer 1

Answer:

Step-by-step explanation:

25.

Combine like terms.

4t+7=-33

subtract 7 from both sides

4t=-40

divide both sides by 4

t=-10

26.

Subtract 2a from both sides

5=7a-16

add 16 to both sides

21=7a

divideby 7 on both sides

a = 3

I'd suggest getting the app photomath or using cymath to help you with these problems. they give you the answer and how to get it step by step


Related Questions

Leroux Health Insurance is considering changing the options in one of their health care plans (Plan A) based on customer feedback that prescriptions and regular visits to the doctor are too expensive for the insured individual. How can Leroux reduce the costs of regular health care without driving up the price of their health care plan?

a.
Reduce the monthly premium but increase the co-pay amounts to compensate for the lower premium.
b.
Reduce the annual deductible, but increase the co-pay amounts so that the monthly premium can stay the same.
c.
Reduce the co-pay amounts but increase the annual deductible so that the monthly premium can stay the same.
d.
Reduce the co-pay amounts but increase the monthly premium to compensate for the lower deductible.

Answers

The answer is C because I just took that

The best way that Leroux can reduce the costs of regular health care without driving up the price of their health care plan is this: c. Reduce the co-pay amounts but increase the annual deductible so that the monthly premium can stay the same.

What is the best way to reduce costs?

The best way that Leroux can reduce the costs of regular health care without increasing the price of the plan would be for then to reduce the co-pay amounts and then increase the annual deductible.

Annual deductibles are the amounts that the customers are expected to pay themselves while the premium is covered by the health company.

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In large cities people out and take taxis to get from one place to another the cost is $25.20 every 36 miles how much is a 47 mile taxi ride

Answers

47 miles taxi ride will cost $32.9

Step-by-step explanation:

Given,

Cost every 36 miles = $25.20

Cost of one mile = [tex]\frac{Cost\ for\ 36\ miles}{36}[/tex]

Cost of one mile = [tex]\frac{25.20}{36}\\[/tex]

Cost of one mile = $0.7

Cost of 47 miles = Cost of one mile * 47

[tex]Cost\ of\ 47\ miles = 0.7*47\\Cost\ of\ 47\ miles = \$32.9[/tex]

47 miles taxi ride will cost $32.9

Keywords: Division, multiplication

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Select the correct answer.
The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of
the object.
E = mv2
Solve the formula for v.​

Answers

Final answer:

You can solve the kinetic energy formula E = mv² for 'v' by first dividing by 'm' to get E/m = v² and then taking the square root of both sides, resulting in v = sqrt(E/m).

Explanation:

The kinetic energy of an object is given by the equation E = mv², where 'm' is the mass of the object and 'v' is its speed. If you want to solve this formula for 'v', you would start by dividing both sides of the equation by 'm'. Doing this, you would get: E/m = v². Then, you would take the square root of both sides to isolate 'v'. This would give you: v = sqrt(E/m), where sqrt stands for 'square root'.

This means that the speed of the object can be found by taking the square root of the kinetic energy divided by the mass of the object.

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The expression for y is y = [tex]\frac{2E}{m}[/tex].

To solve the kinetic energy formula E=[tex]\frac{1}{2}[/tex] [tex]mv^{2}[/tex] for y, we need to isolate y on one side of the equation. The formula can be rearranged as follows:

E=[tex]\frac{1}{2}[/tex][tex]mv^{2}[/tex]

Multiply both sides of the equation by 2 to eliminate the fraction:

2 E =  [tex]mv^{2}[/tex]

Now, to solve for y, which is represented by [tex]mv^{2}[/tex] , divide both sides by m:

y = [tex]\frac{2E}{m}[/tex]

So, the expression for y is y =  [tex]\frac{2E}{m}[/tex] .

This final equation tells us that y (representing [tex]mv^{2}[/tex] ) is equal to twice the kinetic energy (E) divided by the mass (m) of the object.

In physics, [tex]mv^{2}[/tex] is often associated with momentum or the force needed to change the object's velocity.

This derived formula provides a clear representation of the relationship between kinetic energy, mass, and velocity in terms of y.

Question

The formula for finding the kinetic energy, E, of an object is given below, where m represents the mass and v represents the speed of the object. E= 1/2 mv^2 Solve the formula for y.

Which expression is equivalent to
3(x + 6)?

F. x + 3 + 6
G. 3x + 6
H. x+6
J. 3x + 18

Answers

Answer:3x+18

Step-by-step explanation:

If a figure is translated 7units to the right and 4 units down what can be said about the perimeter of the transformed image

Answers

Answer:

nothing has changed about the shape

Step-by-step explanation:

the shapes perimeter has neither grown or shrunk as it wasn't dialated only moved

y-1=-2(x+3) in standard form

Answers

Answer:

2x + y + 5 = 0

Step-by-step explanation:

y − 1 = -2 (x + 3)

y − 1 = -2x − 6

2x + y + 5 = 0

Trapezoid G H J K is rotated about G 90 degrees counterclockwise to form trapezoid G prime H prime J prime K prime. Trapezoid G prime H prime J prime K prime is reflected across the line of reflection m to form trapezoid G double-prime H double-prime J double-prime K double-prime.
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G"H"J"K"?

a translation to the right
a reflection across line m
a 90° rotation about point G
a 180° rotation about point G

Answers

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

on edge

I’ll put you as Brainliest!

The volume of gas in a container is 125,000
liters, and the pressure is 1.2 atmospheres. Suppose the temperature remains constant, and the pressure changes to 1.6 atmospheres.
What is the new volume of the gas in liters?

Answers

Answer:

93750 L

Step-by-step explanation:

P1V1 = P2V2

1.2 atm*125000L = 1.6 atm* V2

V2 = 93750 L

The new volume of the gas is 93750 liters.

Given,

The volume of gas in a container is 125,000 liters.

The pressure is 1.2 atmospheres.

Suppose the temperature remains constant.

The pressure changes to 1.6 atmospheres.

We have to find the new volume of the gas.

What is the ideal gas law equation?

The equation is given by:
PV = nRT

Where P is the pressure of the gas.

V is its volume.

n is the number of moles of the gas.

T is its kelvin temperature.

R is the ideal (universal) gas constant.

Let the initial volume and pressure of the gas be [tex]V_{1}[/tex] and [tex]P_{1}[/tex].

The final volume and pressure of the gas be [tex]V_{2}[/tex] and [tex]P_{2}[/tex].

We have,

[tex]V_{1}[/tex] = 125000 litres.

[tex]P_{1}[/tex] = 1.2 atmospheres.

Since temperature remains constant.

[tex]P_{1} V_{1}[/tex] / nR = T and [tex]P_{2} V_{2}[/tex] / nR = T

We can write as:

[tex]P_{1} V_{1}[/tex] / nR = [tex]P_{2} V_{2}[/tex] / nR

[tex]P_{1} V_{1}[/tex]  = [tex]P_{2} V_{2}[/tex]

Putting the values we get,

[tex]P_{1} V_{1}[/tex]  = [tex]P_{2} V_{2}[/tex]

1.2 x 125000 = 1.6 x [tex]V_{2}[/tex]

[tex]V_{2}[/tex] = (1.2 x 125000) / 1.6

   = 93750 litres.

Thus the new volume of the gas is 93750 liters.

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Write an equivalent expression for 48+18x

Answers

Answer:

2(24+9x)

Step-by-step explanation:

Answer:

6(8+3x)

Step-by-step explanation:

48+18x=6(8+3x)

The local appliance store is offering 15% off an entire purchase of $2,000 or more; or 30% off a single
item of $1,000 or more. Use the prices listed above to determine which offer will save the most
money on these appliances?

Answers

Answer:

The offer of 30% off a single item of $ 1000 or more will save most money on these appliances .

Step-by-step explanation:

Given as :

The purchase price = $ 2000

The offering discount = 15 %

Let The price of item after discount = x

So , x = ( $ 2000 ) - ( $ 2000 × 15 % )

Or,  x = ( $ 2000 ) - ( $ 2000 × 0.15 )

Or,  x = ( $ 2000 ) - ( $ 300 )

∴     x =  $ 1700

Now, Again

The purchase price = $ 1000

The offering discount = 30 %

Let The price of item after discount = y

So , y = ( $ 1000 ) - ( $ 1000 × 30 % )

Or,  y = ( $ 1000 ) - ( $ 1000 × 0.3 )

Or,  y = ( $ 1000 ) - ( $ 300 )

∴     y =  $ 700

Now, If we purchase two item at the cost price of $ 700 each , then it will cost as $ 700 × 2 = $ 1400

And for the same number of items at the cost price is $ 1700 after 15 % discount on list price of $ 2000 , So the second offer will save most .

Hence The offer of 30% off a single item of $ 1000 or more will save most money on these appliances . Answer

What equation is the result of solving 7+4x=3y for x

Answers

Answer:

x=3y/4 - 7/4

Step-by-step explanation:

Answer:

x = [tex]\frac{3y-7}{4}[/tex]

Step-by-step explanation:

Given

7 + 4x = 3y ( subtract 7 from both sides )

4x = 3y - 7 ( divide both sides by 4 )

x = [tex]\frac{3y-7}{4}[/tex]

the price of a gallon of heating oil rose from 1.60 a gallon to 1.92 . by what percent did the price increase?

Answers

Answer:

20%

Step-by-step explanation:

1.92 - 1.60 = 0.32

percentage increase = (0.32/1.60) * 100 =

0.2 * 100 = 20%

Answer: required percent increase in price=20%

Step-by-step explanation:

required percent increase in price=[tex]\frac{1.92-1.60}{1.60}[/tex]\times100

                                                       =[tex]\frac{0.32}{1.60}[/tex]\times100

                                                       =[tex]0.20\times100[/tex]

                                                      =20%


Tom simplified an expression in three steps, as shown:

Which is the first incorrect step and why?

Step 1, all the exponents are increased by 4
Step 2, the exponents of the same base are added during multiplication
Step 3, the exponents of the same base are subtracted during division
Step 3, all the exponents are added during division

Answers

Answer:

Step 1) is incorrect.

Step-by-step explanation:

Answer:

Step one is the one that is wrong

Step-by-step explanation:

Cat hacker

What is the standard to slope intercept form 4x - 4y = -8

Answers

Answer:

y = x + 2

Step-by-step explanation:

4x - 4y = -8 can be rearranged to slope-intercept form by isolating y.

[tex]4x - 4y = -8\\-4y = -8 - 4x\\y =\frac{-8-4x}{-4} \\y = 2 + x\\y = x + 2[/tex]

I can't figure out what I'm doing wrong can you please help me I'll give you a lot of points and this this really hard :(

MICKEY AND MINNIE ARE EXPECTING.

THEY ARE A VERY HAPPY COUPLE.

THE DOCTOR SAID THEY ARE HAVING 5 BOYS AND 5 GIRLS.

MICKEY AND MINNIE ARE RATS.

EVERY THREE WEEKS AN ADULT RAT COUPLE CAN HAVE BABIES.

IT TAKES 6 WEEKS FOR A BABY RAT TO BECOME AN ADULT
AND BE OLD ENOUGH TO HAVE A BABY.


ASSUMING MICKEY AND MINNIE WANT TO HAVE AS MANY CHILDREN AS POSSIBLE AND THEIR OFFSPRING WANT TO HAVE AS MANY CHILDREN AS POSSIBLE,
WHAT WILL BE THEIR ENTIRE POPULATION IN ONE YEAR? (52 WEEKS)
(INCLUDING MICKEY AND MINNIE)
(ASSUME EVERY PREGNACY WILL CONSIST OF 5 BOYS AND 5 GIRLS)

Answers

Answer:

1,495,672

Step-by-step explanation:

Build a table to track the number of adult rats, 3-week old rats (let's call them teens), and baby rats.

[tex]\left[\begin{array}{ccccc}Week&Adult&Teen&Baby\\1&2&0&0\\3&2&0&10\\6&2&10&10\\9&12&10&10\\12&22&10&60\\15&32&60&110\\18&92&110&160\end{array}\right][/tex]

The pattern is this: every 3 weeks, the number of adults becomes the previous number of adults + the number of teens.  The number of teens becomes the previous number of babies.  And the number of babies becomes the previous number of adults × 5.

Continuing:

[tex]\left[\begin{array}{ccccc}Week&Adult&Teen&Baby\\1&2&0&0\\3&2&0&10\\6&2&10&10\\9&12&10&10\\12&22&10&60\\15&32&60&110\\18&92&110&160\\21&202&160&460\\24&362&460&1010\\27&822&1010&1810\\30&1832&1810&4110\\33&3642&4110&9160\\36&7752&9160&18210\\39&16912&18210&38760\\42&35122&38760&84560\\45&73882&84560&175610\\48&158442&175610&369410\\51&334052&369410&792210\end{array}\right][/tex]

So at the end of the year, there are a total of 1,495,672 rats.

John draws 15 cards from a deck of cards, if the card drawn is Queen, King, or Jack it worth 10 points
others worth 5 points. If he receives a total of 125 point. How many cards of each he draws from the
deck.

Answers

Answer:

10 face cards and 5 non-face cards

Step-by-step explanation:

If x is the number of face cards, and y is the number of non-face cards, then:

x + y = 15

10x + 5y = 125

Solve the system of equations.  Using substitution:

10x + 5 (15 − x) = 125

10x + 75 − 5x = 125

5x = 50

x = 10

y = 15 − x

y = 5

He drew 10 face cards and 5 non-face cards.

wuts 4x +6x= plzzzzzzzzzzzzzz help me im in 4th grade

Answers

Answer:

10x

Step-by-step explanation:

Answer:

10x

Step-by-step explanation:

since they both are the same just add them and done

7 more than the product of 8 and 4

Answers

Answer:

39

Step-by-step explanation:

product = 2 numbers multiplied by each other

8 x 4 = 32

32 + 7 = 39

The product of two numbers is when you multiply those two numbers together.

So, the product of 8 and 4 would simply be 8 * 4=32

7 more than 32 would simply be 32 + 7=39

The answer is 39

20 points for this question:

Find the domain.

Answers

Answer:

The Domain D = {y ∈ R / y ≠ [tex]\dfrac{b}{2}[/tex] y ≠ 0}

Step-by-step explanation:

Let ,

f(y) = [tex]\dfrac{b^{2} - 4by }{2y^{2} - by }[/tex] - [tex]\dfrac{4y}{b-2y}[/tex]

The above function would be defined only when the denominator of anyone or both the terms of the function do not become 0 -

[tex]2y^{2} - by[/tex] ≠ 0 and b - 2y ≠ 0

∴ y(2y - b) ≠ 0                 and y ≠[tex]\dfrac{b}{2}[/tex]

Either y ≠ 0 or y ≠ [tex]\dfrac{b}{2}[/tex]

∵ The domain of a function consists of only those points where the function is defined -

The Domain D consists of all y ∈ Real numbers such that y ≠ 0 and y ≠ [tex]\dfrac{b}{2}[/tex]

A painter can paint a wall with an area of 3280 square feet with 8 gallons of paint which rate best represents the relationship between the area of the wall and the amount of paint needed

Answers

Answer:

410:1

Step-by-step explanation:

how long will it take for an investment to triple if it is compounded continuously at 12%

Answers

Answer:

9.694 years

Step-by-step explanation:

Let the investment is $P.

So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.

Let the time is y years.

So, from the formula of compound interest we can write

[tex]3P = P(1 + \frac{12}{100} )^{y}[/tex]

⇒ [tex](1 + \frac{12}{100} )^{y} = 3[/tex]

⇒ [tex](1.12)^{y} = 3[/tex]

Now, taking log both sides we get,

y log 1.12 = log 3 {Since, [tex]\log a^{b} = b \log a[/tex] }

⇒ 0.04922y = 0.477712

y = 9.694 years (Answer)

6. Emma uses 10 pages of paper when she writes anything. She uses an
additional 4 pages of paper every hour that she writes. Write an equation
that would show how many pages of paper she uses when writing.

Answers

Answer:

4x+10

Step-by-step explanation:

Emma is guaranteed to use 10 pages when she writes something. Since you can't tell how many hours she has written, you use x to represent the hours she has spent writing. If she writes 4 pages every hour, that would be 4 × (hours spent writing) or 4x. Add 4x to the original guaranteed 10 pages she uses and you have your expression.

Jo is thinking of a number. Four less than 9 times the number is 176. Find Jo’s number.

Answers

Answer:

Jo's thinking about the number 20.

Step-by-step explanation:

9x-4=176

9x=176+4

9x=180

x=180/9

x=20

Which equation is equivalent to 3=87/h?

Answers

Answer:

h=87/3

Step-by-step explanation:

3=87/h

h=87/3

anybody help me to solve this question. ​

Answers

Answer:

[tex]\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)} are\ in\ AP[/tex]

Step-by-step explanation:

Given that [tex](b-c)^2, (c-a)^2 , (a-b)^2[/tex] are in AP

To prove: [tex]\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}[/tex] are in AP

From given as we know if p , q, r are in AP then 2q= p+r.

[tex]2(c-a)^2= (b-c)^2+(a-b)^2\\\\\Rightarrow 2(c^2+a^2-2ac)=b^2+c^2-2bc+a^2+b^2-2ab\\\\\Rightarrow 2c^2+2a^2-4ac= 2b^2+c^2+a^2 -2bc-2ab\\\\\Rightarrow a^2+c^2-2b^2-4ac= -2bc-2ab\\\\\Rightarrow a^2-2b^2+c^2= 4ac-2bc-2ab[/tex]

Now

[tex]\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}2\dfrac{1}{(c-a)} =\dfrac{1}{(b-c)}+\dfrac{1}{(a-b)}\\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-b+b-c}{(b-c)(a-b)} \\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-c}{(b-c)(a-b)} \\\\\Rightarrow2(b-c)(a-b) = (c-a)(a-c) \\\\\Rightarrow 2(ab-b^2-ac+bc)= -(a-c)^2\\\\\Rightarrow 2ab- 2b^2-2ac+2bc = -a^2-c^2+2ac\\\\\Rightarrow a^2-2b^2+c^2=4ac-2ab-2bc[/tex]

Which is the result of AP

.

Hence proved

I have a precalculus problem about solving the equation can somebody help me please

Answers

Answer:

Yeah

Step-by-step explanation:

find a formula

A Job hotline service charges $25 plus a 4% commission c on the first month of earning if it finds work for a client. Write an equation that represents the total cost T to find a job through the hotline. What is the cost of a client earns $1500 the first month

Answers

Answer: Equation for total cost: T = $25 + 0.04E

Cost of a client who earns $1500 = $85

Step-by-step explanation:

Let E = earning in the first month

Commission (c) = 0.04 (4%) × E

Total cost will be the addition of $25 fixed amount and commission

Therefore, an equation that will represent total cost of finding a job through the hotline will be:

T = $25 + 0.04E

The cost of a client whose first month earnings is $1500 will be

T = $25 + 0.04 ($1500)

T = $25 + $60 = $85

I found that helpful

1)
► If the ratio of cars to trucks in a parking lot is 8 to 3 and there are 21 trucks, how many cars are there? I don’t know where to start I need help!! This needs to be shown full work on my college math class that’s a requirement!! Can anyone give me an explanation ASAP!!!

Answers

Answer:

So a ratio of 8:3 means for every 8 cars that is 3 trucks so we have the number of trucks which is 21 so what i did to find the answer was see how many times 3 went into 21 which is 7 times then you would take the 7 and times it by 8 and get 56 so there are 56 cars.

Step-by-step explanation:

Final answer:

To determine the number of cars, we use the ratio of cars to trucks (8 to 3) with the total number of trucks (21) to find the common multiplier. Multiplying the ratio number for cars (8) by the multiplier (7) gives us 56 cars in the parking lot.

Explanation:

Calculating the Number of Cars in a Parking Lot

To calculate the number of cars in the parking lot when we know the ratio of cars to trucks and the number of trucks, we can set up a proportion. Given that the ratio of cars to trucks is 8 to 3 and there are 21 trucks, we can represent the number of cars as 8x and the number of trucks as 3x, where x is the common multiplier for the ratio. Since we know there are 21 trucks, we can set 3x equal to 21 and solve for x:

3x = 21

Divide both sides of the equation by 3:

x = 21 / 3

x = 7

Now that we have the value of x, we can find the number of cars by multiplying the ratio number for cars (8) by x (7):

Number of cars = 8 x 7

Number of cars = 56

Therefore, there are 56 cars in the parking lot.

Jack and Julio each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store.
Jack spent $22 on 1 daylily and 5 geraniums. Julio spent $30 on 13 daylilies and 1 geranium. Find the cost of one daylily.​

Answers

Cost of one daylily is $2 and cost of one geranium is $4.

Step-by-step explanation:

Let,

Cost of one daylily = x

Cost of one geranium = y

According to given statement;

x+5y=22    Eqn 1

13x+y=30    Eqn 2

From Eqn 1;

x=22 - 5y

Putting this value of x in Eqn 2;

[tex]13(22-5y)+y=30\\286-65y+y=30\\-64y=30-286\\-64y=-256[/tex]

Dividing both sides by -64

[tex]\frac{-64y}{-64}=\frac{-256}{-64}\\y=4[/tex]

Putting y=4 in Eqn 1

[tex]x+5(4)=22\\x+20=22\\x=22-20\\x=2[/tex]

Cost of one daylily is $2 and cost of one geranium is $4.

Keywords: linear equation, substitution method

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The function y=ex is vertically stretched by a factor of 2, reflected across the x-axis, and then shifted down 3 units, find the resulting function.

Provide your answer below:

Answers

Answer:

1/2e^x -3

Step-by-step explanation:

Final answer:

The resulting function after vertically stretching y = ex by a factor of 2, reflecting it across the x-axis, and shifting it down 3 units is y = -2ex - 3.

Explanation:

The original function is y = ex. To find the resulting function after the described transformations (vertically stretched by a factor of 2, reflected across the x-axis, and shifted down 3 units), we perform each transformation step by step.

Vertical Stretch: Multiplying the function by 2 gives us 2ex.Reflection across the x-axis: Multiplying by -1 to reflect it gives us -2ex.Shift down by 3 units: Subtracting 3 from the function gives us -2ex - 3.

Therefore, the resulting function after all transformations is y = -2ex - 3.

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If the interest earned from the amount invested at 6% exceeds the interest earned from the amount invested at 5% by $577.00, how much is invested at each rate? (Round to two decimal places if necessary.) Define variables x and y and set up a system of two linear equations that represents the information given in the problem. 1. Which Response core capability involves ensuring the capacity for timely communications in support of security, situational awareness, and operations by any and all means available, among and between affected communities in the impact area and all response forces?A. On-scene Security, Protection, and Law Enforcement.B. Operational Communication.C. Infrastructure Systems.D. Logistics and Supply Chain Management2. Whose duties include operation of the National Response Coordination Center, the effective support of all Emergency Support Functions, and, more generally, preparation for, protection against, response to, and recovery from all-hazards incidents? A. Senior Federal Law Enforcement Official B. DHS Director of Operations Coordination C. Secretary of Homeland D. FEMA Administrator Read the statement. The conflict over _[blank]_ led to the first political parties. Which option most accurately completes the statement? A.) diplomatic ties to Great Britain B.) water rights C.) state and federal powersD.) the Tariff of Abominations The Quadratic Formula 7:Solving Quadratic EquationslaroThe Quadratic FormulaTextGuided PracticeUse the quadratic formula to solve the equation. If necessary, round answers to the nearest hundredth.8x2-3x - 7=0A. 1.12, -0.74B. 1.14,-0.77C. -1.14,0.77 How did cultures of both Ancient Greece and Rome influence the political system of the United States? testout You want to prevent users in your domain from running a common game on their machines. This application does not have a d signature. You want to prevent the game from running even if the executable file is moved or renamed. signature. You want to prevent the game from running even if the executable file is moved or renamed. You decide to create an AppLocker rule to protect your computer. You decide to create an AppLocker rule to protect your computer. Which type of condition should you use in creating this rule? Which type of condition should you use in creating this rule? The specific heat capacity of copper is three times the specific heat capacity of lead. Equal masses of copper and lead are heated from room temperature to the temperature of boiling water. To achieve, this the amount of heat added to the copper is______times the heat added to lead. Free palmitate is activated to its coenzyme A derivative (palmitoyl-CoA) in the cytosol before it can be oxidized in the mitochondrion. If palmitate and [14C]coenzyme A are added to a liver homogenate, palmitoyl-CoA isolated from the cytosolic fraction is radioactive, but the palmitoyl-CoA isolated from the mitochondrial fraction is not. Why is this? America was introduced to modernism at the 1913 _____________ but it was met by public protest and initially rejected. The same reaction awaited Jan TSCHICHOLD'S lmentaire Typographie insert. However, a small number of American typographers and designers, such as William Addison DWIGGINS, S. A. JACOBS, Merle ARMITAGE, and Lester BEALL, recognized the value of the new ideas, and modernism slowly gained ground in book design, editorial design for fashion and business magazines catering to affluent audiences, and promotional and corporate graphics. By the 1930s, modernist European design had become a significant influence in America. Which equation is equivalent to n + 4 = 11? In ABC, point PAB so that AP:BP=1:2. Point R PB that PR:BR=1:2. Point QBC so angle BQR = angle BCP. Find ratio of PQC to ABC. 24 Attitudes toward alcohol At a party there are 30 students over age 21 and 20 students under age 21. You choose at random 3 of those over 21 and separately choose at random 2 of those under 21 to interview about attitudes toward alcohol. You have given every student at the party the same chance to be interviewed. Coral reefs are ideal breeding grounds for a variety of fish and sea creatures, and coral is considered a foundation species. Unfortunately, coral reefs are fragile ecosystems and are easily disrupted. Because coral contain calcium carbonate deposits, one situation poses a growing threat to coral as well as the many organisms that are dependent on them. That situation is A voltmeter and an ammeter are used to respectively monitor the voltage across and the current through a resistor connected to an AC source. If the resistor has a value of 10.0 and the ammeter reads 8.02 A, determine the following.(a) the rms voltage (in V) across the resistor(b) the peak voltage (in V) of the source(c) the maximum current (in A) in the resistor(d) the average power (in W) delivered to the resistor use the functions f(x)=2x and g(x)=x^2+1 to find the value of each expression1. f(g(3))2. f(3)+g(4)3. f(5)-2g(1) A rectangular parking lot has a perimeter of 384 meters. The length of the parking lot is 36 meters less than the width. Find the length and the width.