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The inequality expression f(4) > g(4) is true when x = 4

The functions are given as:

[tex]f(x) = 2^x - 7[/tex]

g(x) = 1.5x - 3

See attachment for the graph of both functions.

From the graph, we have:

f(4) = 9

g(4) = 3

This means that:

f(4) > g(4) when x = 4

Hence, the inequality f(4) > g(4) is true when x = 4

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Answer:

A. 17

Step-by-step explanation:

f(x) = 3x + 2

f(5) = 3(5) + 2

= 15 +2

= 17

Step-by-step explanation:

the circumference of a complete circle (360°) is

2×pi×r

in our case

2×pi×3 = 6pi (= 18.84955592... ft)

5 ft is now what fraction of the whole circumference ?

because the corresponding arc angle is the same fraction of 360°.

5 ft are 5/(6pi) of the whole circumference.

so, the arc angle AB is

5/(6pi) × 360 = 5×60/pi = 300/pi = 95.49296586...°

but maybe you need the angle in radians instead of degrees ?

then remember, 360° = 2pi radians.

and then the arc angle AB is

5/(6pi) × 2pi = 10/6 = 5/3 = 1.666666... radians.

The equations representing inverse variation are:  pv = 13 and z = (2 / x) , option B and C are the answer.

When on increasing one quantity the other quantity decreases , such variation between the two entities is called Inverse Variation

For this case, what you should know is that the equations that represent an inverse variation are those that could not form a straight line, for example.

The equations are given in the question and it has to be checked if they represent inverse variation

y = 2x

y and x are in a direct variation

pv = 13

p = 13 / v

P and v are represent an inverse variation.

z = (2 / x)

z and x are represent an inverse variation.

4 = v/x

v =4x

v and x are in direct variation

h=9g/5

h and g are in direct variation

therefore , the equations representing inverse variation are:

pv = 13 and z = (2 / x)

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Answer:

2 and -4 :) because -2×4=-8, and 4+(-2)=2. Solve x-2=0 and x+4=0, you get the answer I previously mentioned!

The length of the 64 meters section in feet is 210 feet

The given parameters are:

Multiply both sides of 1 meter = 3.28 feet by 64

64 * 1 meter = 3.28 feet * 64

Evaluate

64 meters = 209.92 feet

Approximate

64 meters = 210 feet

Substitute 64 meters = 210 feet in Length = 64 meters

Length = 210 feet

Hence, the length of the section in feet is 210 feet

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Answer:176

Step-by-step explanation:

8 x 2 x 11

Answer:

7

Step-by-step explanation:

Answer:

$50 interest

Step-by-step explanation:

Simple interest formula

I = Prt

where:

Given:

Substitute the given values into the formula and solve for I:

⇒ I = 500 · 0.02 · 5

⇒ I = 50

Therefore, Frank will earn $50 interest in 5 years.

The profit earned by the gift shop owner on fifty vases will be $ 91.07.

The amount of money earned by any seller on the cost price is called the profit. It is given that A gift shop owner bought fifty vases for $210. she sells seven vases for what she paid for ten originally.

The profit will be calculated as we will create the expressions for all the selling and purchasing given in the question.

The total cost price of vases:-

50 vases = $210

1 Vase = 210 / 50 = 4.25

So 10 vases will be purchased at the price of:-

10 Vase = 4.25 x 10 = 42.5

Now from the question of the amount he paid for 10 vases, he gained it by selling 7 vases.

7 Vase = 42.5

1 Vase = 42.5 / 7 = 6.07

So he sold one vase for $6.07 and purchased it at $4.25.

The profit will be = 6.07 - 4.25 = 1.821

So profit for selling 50 vases will be:-

Profit = 50 x 1.821 = $91.07

Therefore profit earned by the gift shop owner on fifty vases will be $ 91.07.

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The number of miles he drove for a cost of $30.50 is 275 miles.

Using linear equation,

y = mx + b

where

Therefore,

9 cents = $0.09

y = 35.50 + 0.09x

where

x = number of miles drove

y = total cost

Therefore,

60.25 =  35.50 + 0.09x

60.25 - 35.50 = 0.09x

24.75 = 0.09x

x = 24.75 / 0.09

x = 275 miles

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Answer:

13 stamps : 17 stickers

Step-by-step explanation:

52 stamps : 68 stickers can be simplified down to 13 stamps : 17 stickers because their greatest common factor is 4

Answer:

It is not a term of the sequence

Step-by-step explanation:

See attached image

Answer:

false

Step-by-step explanation:

any line segment or distance has only one midpoint.

there is only one middle to everything.

how would that look like, if something had 2 middles ?

then they would not be a middle, and the middle between these 2 middles would then be the real middle ...

Answer:false

Step-by-step explanation: If a line segments has endpoints A and B, then the midpoint of that line segment is a point, M Such that M. Becuase A line segment can only IM SAYING ONLY 1 MIDPOINT!

Answer:

AC = 13.3

Make proportional relationship:

[tex]\sf \dfrac{AB}{AC} = \dfrac{AM}{AN}[/tex]

Insert values

[tex]\rightarrow \sf \dfrac{10}{AC} = \dfrac{6}{8}[/tex]

Cross multiply

[tex]\rightarrow \sf AC = \dfrac{10(8)}{6}[/tex]

Simplify

[tex]\rightarrow \sf AC =13.3[/tex]

Number of unmarked wolves: 928 - 232 = 696

probability of next wolf being unmarked = 696 / 928 = 0.75

0.75 x 100 = 75%

Answer: 75%

Answer:

y = (2/3)x - 3

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this equation, "m" represents the slope and "b" represents the y-intercept. You were given the slope and y-intercept, so finding the final equation is just a matter of substituting the variables.

slope = m = (2/3)

y-intercept = b = -3

y = mx + b

y = (2/3)x + (-3)

y = (2/3)x - 3

Answer:

The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation

The measure of x, p, q and r are 65, 20 , 40 and 40 degrees respectively.

The sum of interior angle of a triangle is 180 degrees. Applying the theorem to each question.

3) 40 + x + 75 = 180

115 + x = 180

x = 180 - 115

x = 65 degrees

4) p + 40 + 120 = 180

p + 160 = 180

p = 20degrees

5). The triangle is isosceles showing that the base angles are equal.

100 + q + r = 180

100 + 2q = 180

2q = 80

q =r = 40 degrees

Hence the measure of x, p, q and r are 65, 20 , 40 and 40 degrees respectively.

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Answer:

$164.66

Step-by-step explanation:

Just subtract them from each other

So, there are 3 fourths in 3 fourths

Answer:

75 on mathematics and 55 on English!

Step-by-step explanation:

Answer:

English test score: 55

Mathematics test score: 75

Step-by-step explanation:

Let [tex]e[/tex] be Mary's score on the English test.

We can say that [tex]e + 20[/tex] is her score on the Mathematics test, as the score for the Mathematics test is just the English test score but 20 higher.

Since both scores add up to 130, we can set up an equation to solve for the English test score. Since we said [tex]e + 20[/tex] is Mary's score on the Mathematics test, [tex]e + e + 20[/tex] is the total of her 2 test scores.

[tex]e + e + 20 = 130\\2e + 20 = 130\\2e = 110\\\boxed{e = 55}[/tex]

This means that Mary got a 55 on her English test score.

To solve for the Mathematics test score we can substitute 55 for [tex]e[/tex] in [tex]e + 20[/tex].

[tex]e + 20 = 55 + 20 \rightarrow \boxed{75}[/tex]

This means Mary got a 75 on her Mathematics test.

Those are the answers

- Kan Academy Advance

Answer:

75 mL.

Step-by-step explanation:

3/(3+2) = 3/5 of the solution is concentrate.

So the answer is 125 * 3/5

= 3*25

= 75 mL.

Volume is a three-dimensional scalar quantity. The volume of a cone with a base radius of 4 ft. and height of 8 ft. is 134 ft³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of a cone with a base radius of 4 ft. and height of 8 ft. can be written as,

Volume = (π/3)×(Radius)²×Height

             = (π/3)×(4)²×8

             = 134.0412 ft³ ≈ 134 ft³

Hence, the volume of a cone with a base radius of 4 ft. and height of 8 ft. is 134 ft³.

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A function assigns the values. The correct option that describes a constant function is that It is a horizontal line.

A function assigns the value of each element of one set to the other specific element of another set.

The correct option that describes a constant function is that It is a horizontal line.

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Answer: the answer is A the others are linear or higher

It moves in a horizontal line.  Its 'y value' does not change.

Step-by-step explanation:

Answer:

72 degrees 72° Celsius. It changed by 72 degrees.

Step-by-step explanation:

6 * 12 because it changed 6 degrees each hour for 12 hours

6 *

12

—-

72

Answer:

72 degree Celsius

Step-by-step explanation:

Since every hour the temperature is cooled by 6⁰C and the total time spent was 12 hour we can do a simple multiplication shown:

6 * 12 = 72

Answer:

D

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 2 and (a, b ) = (- 2, 1 ) , then

y - 1 = 2(x - (- 2)) , that is

y - 1 = 2(x + 2)