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Using the properties of integer exponents, match each expression with its equivalent expression
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The function g(x) is a transformation of the cube root parent function f(x) = ∛x will be g(x) = ∛(x - 4) - 3. Then the correct option is D.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function g(x) is a transformation of the cube root parent function that will be given below.

f(x) = ∛x.

If we subtract h in the variable of the function then the function shifts toward the left by h units.

And if we subtract k in the function then the function shifts downward by k units.

Then the function g(x) will be

g(x) = ∛(x - 4) - 3

Then the correct option is D.

More about the function link is given below.

https://brainly.com/question/5245372

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Answer:

Quantité totale d'essence consommée:  167 litres (arrondie à l'unité pres)

Nombre de jours du voyage: 12 jours (je pense! Je ne comprends pas "jours sants" ? Suivants? )

Distance parcourue pour aller à Pittsburgh: 1269.8 km

coût total de l'essence: $ 204.11

Coût moyen de l'essence consommée par jour (arrondi au centieme pres): $17.01

Distance parcourue par jour pour le retour:  613.5 km

Distance totale parcourue durant les vacances:​ 2496.8 km

Step-by-step explanation:

Jour 1 Montreal à Parc Sandbanks

2,3,4,5 Parc Provincal Sandbanks

6,7,8,9,10  Pittsburgh

11,12 Pittsburgh à Quebec

Distance: ajouter les numéros jours par jour.

Essence consommée: 6.7 litres pre 100, donc diviser la distance totale par 100  puis multiplier par litres par km

2496.8/100 = 24.968 × 6.7 = 167.2856  et arrondir le total: 167.3

Coût total de l'essence: Il faut multiplier le total consommée par la coût par litre, $1.22  167.3×1.22 = $204.11

Coût moyen de l'essence consommée par jour:  $204.11 ÷ 12 jours = $17.01/jour

Distance parcourue par jour pour le retour: 1227km/2days = 613.5 km/jour

Distance totale parcourue durant les vacances:​ Ajoutez les distances journalières parcourues à Pittsburgh à la distance de retour  à Quebec.

1269.8 + 1227 = 2469.8 km

Answer:

A

Step-by-step explanation:

The lines never cross (parallel), so no solutions.

Step-by-step explanation:

A because they are parallel

Answer:

(i) The distance between B and C is approximately 552.9 m

(ii) ∠ACB is approximately 40.49°

(iii) The bearing of C from B is approximately 184.49°

(iv) The shortest distance from A to BC is approximately 331.155 m

Step-by-step explanation:

The given parameters are;

The length of segment AB = 370 m

The length of segment AC = 510 m

The bearing of B from A = 68°

The bearing of C from A = 144°

(i) From the bearing of B from A = 68° and the bearing of C from A = 144°, we have;

∠BAC = 144° - 68° = 76°

∠BAC = 76°

Let A represent ∠BAC, c represent segment AB, b represent segment AC, and a represent segment BC, by cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

By substituting the known values, we get;

a² = 510² + 370² - 2 × 510 × 370 × cos(76°)

a² ≈ 397000 - 91301.3234 ≈ 305698.677

BC = a ≈ √(305,698.677) ≈ 552.9

The distance between B and C, BC ≈ 552.9 m

(ii) By sine rule, we have;

a/(sin(A) = b/(sin(B)) - c/(sin(C))

Therefore;

552.9/(sin (76°)) = 370/(sin(C))

sin(C) = 370/(552.9/(sin (76°))) ≈ 0.649321

C = arcsine(0.649321) ≈ 40.49°

∠C = ∠ACB ≈ 40.49°

(iii) Angle ∠B = ∠ABC = 180° - 76° - 40.49° ≈ 63.51°

The bearing of A from B = 360° - (180° - 68°) = 248°

Therefore, the bearing of C from B ≈ 248° - 63.51° ≈ 184.49°

(iv) The shortest distance from A to BC = 370 m × sin(63.51°) ≈ 331.155 m

Step-by-step explanation:

Take John's sister's age as "x"

So, so twice his sister's age means = 2x

And 5 years more, means = 2x + 5

So finally John's age = 2x + 5

Answer:

y=2x+5

Step-by-step explanation:

Answer:

why

Step-by-step explanation:

Answer:

down below:)

Step-by-step explanation:

sale price    discount

                    1. multiplied by 0.82

                    2. multiplied by 0.75

                    3. multiplied by 0.9

1. 18.45

2. 30

3.  23.4

Step-by-step explanation:

b)

make it braintliest please

Answer:

y = 2x +5

Step-by-step explanation:

1. use slope intercept for y2 - y1 / x2 - x1 --> 7-(-12) / 1-(-5)

2. solve --> 7-(-12) / 1-(-5) = 2

3. put in slope (2) and a coordinate into equation --> y = mx + b --> 7 = 2(1) + b

4. solve --> 7 = 2(1) + b --> b = 5

5. put the equation together --> y = 2x + 5

Answer:

b=-3

Step-by-step explanation:

4b+3=−9

-3 -3

4b=-12

4b/4 =-12/4

b=-3

Answer:

12-14w

Step-by-step explanation:

Answer I blive is is 8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Area of a square equals to the square of its side, therefor the side of a given area for a square is the square root of the area.

[tex]A = a^{2}\\a = \sqrt{A}\\a = \sqrt{110} = 10.48 ft[/tex]

Answer:

QR

SR

Step-by-step explanation:

QR and SR are tangent to the circle with center P

Answer:

3^4x-5=1/27^2x+10

We move all terms to the left:

3^4x-5-(1/27^2x+10)=0

Domain of the equation: 27^2x+10)!=0

x∈R

We get rid of parentheses

3^4x-1/27^2x-10-5=0

We multiply all the terms by the denominator

3^4x*27^2x-10*27^2x-5*27^2x-1=0

Wy multiply elements

81x^6-270x^2-135x^2-1=0

We do not support expression: x^6    

Step-by-step explanation:

Answer:

$2.90 per pound

Step-by-step explanation:

You must divide the total from the amount bought.

15.20/5.3 = 2.8679245283

Next, you round the number by the first 2 decimals.

2.86 = 2.90 - The answer

Check if you need to make sure the answer is correct

Answer:

D

Step-by-step explanation:

c = 41.21 - 0.41L

hope this helps <3

Answer:

8.25

Step-by-step explanation:

(-10,-7) (-8,1) find the distance between the two points show work.

The formula for calculating the distance between the two points is expresses as;

D = √(x2-x1)²+(y2-y1)²

D = √(-8+10)²+(1+7)²

D = √(2)²+8²

D = √4+64

D = √68

D = 8.25

Hence the distance between the two points is 8.25

Answer:

i think its the last one

Step-by-step explanation:

i think its the last on ig

The true statements from the given statements are -

Two triangles are congruent when they have exactly the same three sides and exactly the same three angles.

Given is a triangle as shown in the image.

It is clear that the measure of ∠MNP is less than ∠ONP as

∠MNP = 38°  <   ∠ONP = 39°

The line NP ≅ NP as it is common to both sub - triangles and has same length.

OP > PM since ∠ONP = 39° > ∠MNP = 38°

Therefore, the true statements from the given statements are -

To solve more questions on congruent triangles, visit the link below-

https://brainly.com/question/27848509

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Yes, the reaction is balanced.

Among the reactants, we have

• 8 carbon

• 20 hydrogen

• 26 oxygen

and among the products,

• 8 carbon

• 16 + 10 = 26 oxygen

• 20 hydrogen

Answer:

Simple Answer... Yes it is balanced.

Step-by-step explanation:

Add 44 to both sides.

2x=10+4

2x=10+4

2 Simplify 10+410+4 to 1414.

2x=14

2x=14

3 Divide both sides by 22.

x=\frac{14}{2}

x=

2

14

4 Simplify \frac{14}{2}

2

14

to 77.

x=7

x=7

Done

Answer:

Step-by-step explanation:

since the hypotenuse of 6 cm is shorter than the base of 8 cm there is something wrong with this drawing.  The box can't be square so maybe answer C is good but.. since this box isn't a right angled box.. we really don't know.   This is a bad question b/c it's making the appearance of being a right angle but it can not be.  Like an Escher drawing..  not possible irl  

The volume of the rectangular prism is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

The missing height of the rectangular prism is 3 cm

It is given that:

The rectangular prism is shown in the picture with dimensions.

As we know, the volume of the rectangular prism is given by:

V = length×width×height

Length = 2 cm

Width = 8 cm

Height = 3 cm

The volume of this figure:

V = 2×8×3

Or

The volume of this figure V = 8×2×3 cubic in

Thus, the volume of the rectangular prism or the volume of the figure is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.

Learn more about the rectangular prism here:

brainly.com/question/21308574

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the variable in this question would be........................ W

you are welcom

Answer:

what the funk

make it shorter or something

Step-by-step explanation:

Answer:

I believe it is yes because he is correct

Answer:

3 and 7

Step-by-step explanation: