The function f(x) = 2x is translated left 3 units and down 2 units. Which is the equation of the translated function? g(x) = 2x –3 – 2 g(x) = 2x – 2 – 3 g(x) = 2x – 2 + 3 g(x) = 2x + 3 – 2

Answer:399

Step-by-step explanation:

((a+b)/2) * h

((13+25)/2) * 21

399

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Answer:

Es cierto se usan 16 paquetes de salchichas y 12 paquetes de panes para pancho.

Step-by-step explanation:

Lo que debemos hacer en este caso es dividir la cantidad total de panchos primero por la cantidad de unidades de salchichas que vienen en su paquete y segundo por la cantidad de unidades de panes para panchos que vienen en su paquete, si el resultado nos da un numero entero podemos decir que usa una cantidad completa de paquetes de salchichas y de panes:

96/6 = 16

96/8 = 12

Es decir que para 96 panchos se usan 16 paquetes de salchichas y 12 paquetes de panes para pancho, por lo tanto es cierto.

Answer:

y = -3x + 8

Step-by-step explanation:

You have to find the slope first using the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Insert any two points in the equation (1,5) and (2,2) and you get -3.

Then, you do any x value times the slope (1*-3 = -3) and add so that it equals the corresponding y value (8).

This makes it y = -3x + 8.

Answer:

the solution is A

Step-by-step explanation:

(x,y)==> (x-8, y)

(6-8, 4)==> (-2, 4)

Answer:

x+1=x *x

Step-by-step explanation:

Answer:

x+1= x*x

Step-by-step explanation:

hope this helps

Answer:

this is ur answer so memories

Answer:   21, 63

Step-by-step explanation:

We need to find two geometric means between 7 and 189.

The Geometric Sequence is: 7, ____, ____, 189

Let's find r (common ratio):

We can see that the common ratio will be multiplied by itsely 3 times in order to get from 7 to 189:

                                           7 r³ = 189

                                            [tex]r^3=\dfrac{189}{7}[/tex]

                                            r³ = 27

                                          ∛r³ = ∛27

                                              r = 3

Now that we know the common ratio is 3, we can multiply 7 and 3 to get the next term (21), and multiply that by 3 to get the third term (63), and multiply that by 3 as a check to confirm we get 189.

7 x 3 = 21

           21 x 3 = 63

                         63 x 3 = 189 [tex]\checkmark[/tex]

The completed Geometric Sequence is: 7, 21,  63, 189

We have that the two geometric means between 7 and 189 are

[tex]x=21 \ and \ y=63[/tex]

From the calculations below

From the question we are told that:

There are two geometric means

7 and 189

Generally for two geometric means between 7 and 189

Let the unknown means be x and y respectively

Therefore

The geometric Progression will be

7,x,y,189

Since they share a similar common ratio r

Therefore

[tex]r=\frac{x}{7}=\frac{y}{x}=\frac{189}{y}[/tex]

Hence

[tex]\frac{x}{7}=\frac{y}{x}\\\\y=\frac{x^2}{7}..........equ1[/tex]

And

[tex]\frac{y}{x}=\frac{189}{y}\\\\y^2=189x.........equ 2[/tex]

Therefore

Substituting equ1 into equ2 we have

[tex](\frac{x^2}{7})^2=189x\\\\x=21[/tex]

Having x we substitute x into equ...1

[tex]y=\frac{(21)^2}{7}\\\\y=63[/tex]

In Conclusion

The two geometric means between 7 and 189

[tex]x=21 \ and \ y=63[/tex]

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In conclusion

Answer:

$1654.20

Step-by-step explanation:

There are 12 months in a year. There are 36 months in 3 years. If he gets charged $45.95 each month for 3 years or 36 months, he pays:

$45.95×36=

$1654.20 for three years.

Answer:

Step-by-step explanation:

Given the inequalities 13/14 > 25/28, 21/25 < 4/9, 5/6>11/12, 4/5< 8/25, in order to know which of the statement is true, we have to simply solve each of the inequality as shown

We will have to convert all then fractions to decimals because It is quite difficult to ascertain the true statement with fraction.

for 13/14 > 25/28

0.93 > 0.89

21/25 < 4/9,

For 0.84< 0.44

This statement is not true because 0.84 us greater than 0.44 not less than 0.44

for 5/6>11/12, this is equivalent to 0.83>0.92. This statement is also false because 0.83 is less than 0.92 not greater than 0.92

For 4/5< 8/25, this is also similar to 0.8<0.32. This statement is also false because 0.8 is greater than 0.32 not less than 0.32

From the above calculation, only  13/14 > 25/28 is the true statement

Answer:

13/14 > 25/28

Step-by-step explanation:

Answer:

n² - 2n + 2

Step-by-step explanation:

The difference in the pattern are odd numbers.

2 - 1 = 1

5 - 2 = 3

10 - 5 = 5

17 - 10 = 7

So there is a -2n in the nth term.

If we subtract 1 on each term.

0, 1, 4, 9, 16

We get whole squares.

So there is a n² in the nth term.

(1)² - 2(1)+ c = 1

1 - 2 + c = 1

-1 + c = 1

c = 2

The nth term is:

n²-2n+2

Answer:

a) 0.3.

b) 1.

Step-by-step explanation:

Note: The scale of probability is not given properly. So, the probability of following events are given below:

It is given that,

Total number of sweets in a bag = 10

Red sweets = 4

Green sweets = 2

Yellow sweets = 3

Purple sweet = 1

a)

We need to find the probability of choosing a yellow sweet.

[tex]P(Y)=\dfrac{\text{Yellow sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(Y)=\dfrac{3}{10}[/tex]

[tex]P(Y)=0.3[/tex]

Therefore, the probability of choosing a yellow sweet is 0.3.

b)

We need to find the probability of choosing a sweet that is not orange.

[tex]P(O')=1-\dfrac{\text{Orange sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(O')=1-\dfrac{0}{10}[/tex]

[tex]P(O')=1[/tex]

Therefore, the probability of choosing a sweet that is not orange is 1.

Probabilities are used to determine the chances of events.

The probability scale is not given; so, I will give a general explanation.

The given parameters are:

[tex]Red = 4[/tex]

[tex]Green = 2[/tex]

[tex]Yellow= 3[/tex]

[tex]Purple = 1[/tex]

[tex]Total = 10[/tex]

(a) The probability of choosing a yellow sweet

This is calculated using:

[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]

So, we have:

[tex]P(Yellow) = \frac{3}{10}[/tex]

Divide 3 by 10

[tex]P(Yellow) =0.3[/tex]

Hence, the probability of choosing a yellow sweet is 0.3

(b) The probability of choosing a sweet that is not orange

This is calculated using:

[tex]P(Not\ Orange) = 1 - \frac{Orange}{Total}[/tex]

So, we have:

[tex]P(Not\ Orange) = 1 - \frac{0}{10}[/tex]

Divide 0 by 10

[tex]P(Not\ Orange) = 1 - 0[/tex]

[tex]P(Not\ Orange) = 1[/tex]

Hence, the probability of choosing a sweet that is not orange is 0

Read more about probabilities at:

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Answer:

The equation will not have an x coordinate. It will look like y=....

Step-by-step explanation:

Answer:

Any equation that is y = b

Step-by-step explanation:

If the slope is 0, m = 0 in y = mx + b. That means when we plug it in:

y = 0x + b

y = b, where b is a constant.

Answer:

angle FGE = 36

angle GEL = 72

and angle GFH = 144

Step-by-step explanation:

well you know that angle GEF = 180 -2x

and that angle GFE = 180 -4x

so all the angles in triangle GEF must add to 180

so you have 180 = 180 -2x + 180 -4x + x

180 = 360 -5x

5x = 180

x = 36

so angle FGE = 36

angle GEL = 72

and angle GFH = 144

Answer:

168 ft²

Step-by-step explanation:

The equation for the lateral area of a square pyramid is LA = (Pl/2)

Plug in the values LA = (24(14)) / 2

LA = 336/2

LA = 168 ft²

The lateral surface area of the given pyramid whose base is an equilateral triangle is 126 square feet.

The lateral surface area of a triangular pyramid is 1⁄2(perimeter of the base × slant height) which further becomes 3⁄2(side × slant height).

Given that, slant height is 14 ft and the length of each side of the triangular base is 6 ft.

The equation for the lateral area of a square pyramid is 3/2 (6×14)

= 3×3×14

= 126 square feet

Therefore, the lateral surface area of the given pyramid whose base is an equilateral triangle is 126 square feet.

Learn more about the lateral surface area pyramid here:

https://brainly.com/question/16493393.

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Step-by-step explanation:

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

We have

[tex]H=4m;\ 2r=3m\to r=1.5m[/tex]

We have everything we need to calculate the volume of the cone.

[tex]V=\dfrac{1}{3}\pi(1.5)^2(4)[/tex]

If we want to get the approximate volume, we must use the approximation of the number π.

[tex]\pi\approx3.14;\ \pi\approx\dfrac{22}{7}[/tex]

[tex]V=\dfrac{1}{3}\pi(2.25)(4)=\dfrac{9\pi}{3}=3\pi\approx(3)(3.14)=9.42\ (m^3)[/tex]

Answer:

The person above me is wrong, the answer is 3

Step-by-step explanation:

I got it right on the test

Answer:

23

Step-by-step explanation:

If Abel was born in 1994, in 2019 he would be 23.

1+9+9+4=23

Answer:

108

Step-by-step explanation:

2/3x+4=76

2/3x=72

x=72*3/2

x=108

Answer:

Do the opposite of what they say

76 - 4 = 72

72 / 2/3 = 72 x 3 / 2 = 216 / 2 = 108

108 is the number

now to double check

108 x 2/3 = 216 / 3 = 72

72 + 4 = 76

108 is the number

Hope this helps

Step-by-step explanation:

Answer:

  see attachment

Step-by-step explanation:

When there are quite a few similar calculations to do, it can work well to let a spreadsheet do them.

5. The Pythagorean theorem applies for finding the unknown side:

  DF = √(FE^2 -DE^2) = 3.0

The angles can be found using any of the trig functions. Since we were given the length of a side and the hypotenuse, we choose to use the sine function:

  Sin = Opposite/Hypotenuse

  opposite angle = arcsin(Opposite/Hypotenuse)

In the spreadsheet, Leg 1 is the given leg, and Leg 2 is the computed leg. The associated Angle 1 and Angle 2 are opposite those legs:

 ∠F = 59°

  ∠E = 31°

__

6. In this section, there are two kinds of problems. One has the hypotenuse and an angle given (HA problems). The other has a leg and its opposite angle given (LA problems).

HA problems (6c, 6e, 6f)

We call the given angle "Angle 1" and compute the other angle as its complement. The side opposite Angle 1 is Leg 1. It is computed using the sine relation above.

  Opposite = Hypotenuse×Sin

  x = 16·sin(60°) = 13.9 . . . . . . . . . . for problem 6c

Then the Adjacent leg is found using the cosine relation:

  Cos = Adjacent/Hypotenuse

  Adjacent = Hypotenuse×Cos

  y = 16·cos(60°) = 8.0 . . . . . . . . . . for problem 6c

As in problem 5, the missing angle is computed as the complement of the given angle.

  missing angle = 90° -60° = 30° . . . . . . for problem 6c

__

LA problems (6a, 6b, 6d)

The calculations for these problems are similar, except that we compute the hypotenuse first using the sine relation.

  Hypotenuse = Opposite/Sin

  u = 2/sin(30°) = 4.0 . . . . . . . for problem 6a

As in the above problems, we computed the missing leg using the cosine function and the hypotenuse.

  v = 4.0·cos(30°) = 3.5 . . . . . for problem 6a

And the missing angle is computed the same as for HA problems.

  missing angle = 90° -30° = 60° . . . . for problem 6a

_____

The computations are done in the spreadsheet using the formulas described above. The matchup of Leg1, Leg2, Angle1, and Angle2 to the problem variables and vertices is left to the student. As we said, Leg1 and Angle1 are opposite each other, and correspond to the given leg and/or angle.

_____

Comment on radians

When using sine and cosine functions in a spreadsheet, one needs to be aware that their arguments must be in radians. Fortunately, the spreadsheet provides functions for converting angles back and forth between degrees and radians. Similarly, the arcsin function used in problem 5 gives its result in radians, so requires conversion to degrees.

Answer: Detergent A uses exactly 1 fluid ounce per load more than detergent B

Step-by-step explanation:

Given the following :

DETERGENT A:

48 fluid ounces

Cleans 16 loads of dishes

DETERGENT B:

76 fluid ounces

Cleans 38 loads of dishes

DETERGENT A:

Fluid ounces per load :

48 / 16 = 3 (3 fluid ounce per load)

DETERGENT B:

Fluid ounce per load :

76 / 38 = 2 ( 2 fluid ounce per load)

3 - 2 = 1 fluid ounce per load.

Answer:

Detergent A uses exactly 1 fluid ounce per load more than detergent B

Step-by-step explanation:

Answer:

k = 2

Step-by-step explanation:

Okay, the first thing we need to do here is find the inverse of the equation given.

f(x) = kx^3 -1

Let f(x) = m

m = kx^3 -1

m + 1 = kx^3

(m+1)/k = x^3

x = 3x√(m+1)/k

Thus, the inverse is;

f^-1(x) = 3x√(x + 1)/k

now let’s make the substitution for f^-1(15)

2 = 3x√(15+1)/k

2 = 3x√(16/k

Cube both sides

2^3 = 16/k

8 = 16/k

8k = 16

k = 16/8 = 2

Answer:

m∠L = 78°

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides are equal and parallel.

2). Diagonals are equal in measure .

3). Opposite angles are equal in measure.

4). Consecutive angles are supplementary

5). Diagonals bisect each other.

By the property number (3),

m∠J ≅ m∠L

(8x - 2) = (6x + 18)

8x - 6x = 18 + 2

2x = 20

x = 10

Therefore, m∠L = (6x + 18)

                          = 60 + 18

                          = 78°

Answer: 4 (20 minus 16 y): Each side measures 20 minus 16 y units.

Step-by-step explanation:

Hi, to answer this question we have to know the formula of the perimeter of a square:

Perimeter = side length x 4

Since:

p = 80-64y = s x 4

Solving for s (side length)

80-64y /4 = s

s = 20- 16 y

So, the correct option is:

4 (20 minus 16 y): Each side measures 20 minus 16 y units.  

Feel free to ask for more if needed or if you did not understand something.

Answer:

i believe its C

Step-by-step explanation:

Answer :

Answer:

Answer: 1) 155.65 kJ; 2) -59.0 kJ/mol; 3) a)

Step-by-step explanation:

Answer on Question # 55533 - Chemistry - General chemistry

Question:

1. Given the data. N2(g) + O2(g) = 2 NO(g) ΔH = +180.7 kJ; 2 NO(g) + O2(g) = 2 NO2(g) ΔH = −113.1

kJ; 2 N2O(g) = 2 N2(g) + O2(g) ΔH = − 163.2 kJ; Use Hess’s Law to calculate ΔH for the reaction

N2O(g) + NO2(g) = 3 NO(g); Show your work.

2. Calcium carbide (CaC2) reacts with water to form acetylene (C2H2) and Ca(OH)2. From the

following enthalpy of reaction data and data in Appendix C in textbook, calculate ΔHf° for CaC2(s):

CaC2(s) + 2 H2O(l) Ca(OH)2(s) + C2H2 (g) ΔH = −127.2kJ

3. Using average bond enthalpies, predict which of the following reactions will be most

exothermic: a) C(g) + 2 F2(g) CF4(g) b) CO(g) +3 F2(g) CF4(g) + OF2(g) c) CO2(g) + 4 F2(g) CF4(g) +

2 OF2(g)

Solution

1)

N2(g) + O2(g) = 2 NO(g) ΔH1 = +180.7 kJ x(+2)

2 NO(g) + O2(g) = 2 NO2(g) ΔH2 = −113.1 kJ x(-1)

2 N2O(g) = 2 N2(g) + O2(g) ΔH3 = − 163.2 kJ x(+1)

2N2O(g) + 2NO2(g) = 6 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)

N2O(g) + NO2(g) = 3 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)/2 = 155.65 kJ

2)

CaC2(s) + 2 H2O(l) = Ca(OH)2(s) + C2H2 (g) ΔHrxn = −127.2kJ

ΔHrxn = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) - ΔHf°(CaC2);

ΔHf°(CaC2) = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) – ΔHrxn

ΔHf°(C2H2) = 227.4 kJ/mol

ΔHf°(Ca(OH)2) = -985.2 kJ/mol

ΔHf°(H2O) = -285.8 kJ/mol

ΔHf°(CaC2) =227.4 - 985.2 + 2x285.8 + 127.2 = -59.0 kJ/mol

3)

a) C(g) + 2 F2(g) = CF4(g)

b) CO(g) +3 F2(g) = CF4(g) + OF2(g)

c) CO2(g) + 4 F2(g) = CF4(g) + 2 OF2(g)

C-F bond enthalpy 440 kJ/mol

C=O bond enthalpy in carbon dioxide 805 kJ/mol

C=O bond enthalpy in carbon monoxide 1077 kJ/mol

O-F bond enthalpy 184 kJ/mol

F-F bond enthalpy 153 kJ/mol

a) ΔHrxn = 2x153 - 4x440 = -1454 kJ – the most exothermic

b) ΔHrxn = 1077 + 3x152 - 2x184 - 4x440 = -595 kJ

c) ΔHrxn =805x2 + 4x153 - 4x440 – 2x2x184 = -274 kJ

Hope you Understand :)

Answer:

f (x) = 2(3x) + 4

Step-by-step explanation:

Answer:

She will save 62.40

Step-by-step explanation:

First find the total amount she makes

hours times hourly rate

19.5 * 12.80

249.60

She saves 1/4 of this, so multiply by 1/4

1/4 * 249.60

62.40

She will save 62.40

Answer:

62.40

Step-by-step explanation:

Answer:

98child tickets were sold that day

Step by step Explanation:

Let the number of children= A of the number of adult

Then

6.20C + 9.50A = 1082.0

From the question it was said that four times as many adult tickets as child tickets were sold which implies that number of adult was FOUR times the children, then we can say

A= 4C

Then substitute into the above equation

6.20C + 9.50A = 1082.0

6.20C + 9.50(4C) = 1082.0

6.20C + 38C= 1082.0

44.2C =1082.0

C= 24.48

But we know that

A= 4C

A=4* 24.48

A= 97.9

Therefore ,98child tickets were sold that day

Answer:

2.95x+39.95(12).

Step-by-step explanation:

Hope this helps!

Answer:

D

Step-by-step explanation:

hope this helps

Answer:

see explanation

Step-by-step explanation:

The translation rule (x, y ) → (x - 1, y + 2 )

Means subtract 1 from the original x- coordinate and add 2 to the original y- coordinate, thus

(4, - 2 ) → (4 - 1, - 2 + 2 ) → (3, 0 )

(2, 2 ) → (2 - 1, 2 + 2 ) → (1, 4 )

(4, 6 ) → (4 - 1, 6 + 2 ) → (3, 8 )

Answer:

see explanation

Step-by-step explanation:

(b)

The roots of f(x) = 0 are the values of x on the x- axis at the points where the graph crosses, that is

x = - 1 and x = 3

(c)

f(0) is the point on the y- axis where the graph crosses, that is 3, thus

f(0) = 3