Given the sequence 2, 4, 8, , 16,........, where x = 0, 1, 2, 3, .......what is the function rule? f(x) = 2x + 2 f(x) = 2(2)x f(x) = (2x) f(x) = 2

Answer:

8

Step-by-step explanation:

Answer:

hypothesis

Step-by-step explanation:

The statement "if p, then q" is a conditional statement.

p----->is the hypothesis

q----->is the conclusion

This conditional is true if it's hypothesis true and the conclusion is true.

This is just one out three situations for which the conditional is true.

Answer:

x < 9  

Step-by-step explanation:

Writing this entirely with symbols, we get:

-5(x - 1) > -40

We must solve for x.  

Carrying out the multiplication, we get:

-5x + 5 > -40, or

-5x > -45

Dividing both sides by -5 isolates x:

x < 9  

Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.

Answer:

5/9

Step-by-step explanation:

Step-by-step explanation:

We have,

[tex](x^{\dfrac{1}{8}})(x^{\dfrac{3}{8}})=12[/tex]

To find, the possible value of x = ?

∴ [tex](x^{\dfrac{1}{8}})(x^{\dfrac{3}{8}})=12[/tex]

⇒ [tex]x^{\dfrac{1}{8}+\dfrac{3}{8}}=12[/tex]

Using the exponential identity,

[tex]a^{m} a^{n} =a^{m+n}[/tex]

⇒ [tex]x^{\dfrac{1+3}{8}}=12[/tex]

⇒ [tex]x^{\dfrac{4}{8}}=12[/tex]

⇒ [tex]x^{\dfrac{1}{2}}=12[/tex]

Squaring both sides, we get

[tex](x^{\dfrac{1}{2}})^2=(12)^2[/tex]

⇒ [tex]x^{{\dfrac{1}{2}}\times2}=144[/tex]

⇒ x = 144

∴ The possible value of x = 144

Thus, the required 'option C) 144' is correct.

Answer:

144

Step-by-step explanation:

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal. A line parallel to[tex]y = -3x + 1[/tex], will have the same slope -3. Thus, the equation will be of the form:

[tex]y = -3x + b[/tex]

We substitute the given point and find "b":

[tex]2=-3(4)+b\\2=-12+b\\2+12=b\\b=14[/tex]

Finally, the equation is:

[tex]y = -3x + 14[/tex]

Answer:

[tex]y = -3x + 14[/tex]

Answer: $30

Step-by-step explanation:

The lamp was selling for $30 which is 25% less than what Cindy bought.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Cindy bought a new lamp for $40.00.

She later saw the lamp on sale for 25% less than what she had originally paid.

∴ The discounted price of the lamp is 75% of the price for which Cindy bought which is,

= (75/100)×40.

= $30.00

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Answer:11/15

Step-by-step explanation:

Most common denominator is 15 multiply 2/5 by 3 and 1/3 by 5 and that’s what you get

[tex]\boxed{y=-2x-5}[/tex]

The slope-intercept form of the equation of a line:

[tex]y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept[/tex]

The given line has the following characteristics:

[tex]y=-2x+3 \\ \\ \\ So: \\ \\ m=-3 \\ \\ b=3[/tex]

So the line we are looking for needs to be:

[tex]y=-2x+b \\ \\ \\ It \ passes \ through \ (-2,-1): \\ \\ -1=-2(-2)+b \\ \\ b=-1-4 \\ \\ b=-5[/tex]

So, the equation of the line would be:

[tex]\boxed{y=-2x+3}[/tex]

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Answer:

9x+6

Step-by-step explanation:

3 x 2= 6x 3 x 1= 3

6x + 3 + 3x + 3

6x + 3x = 9x

3 + 3 =6

Answer:

144

Step-by-step explanation:

Step 1:  Convert 4 yards into feet

1 yard = 3 feet

4 * 3 = 12 feet

Step 2:  Convert 12 feet into inches

1 foot = 12 inches

12 * 12 = 144 inches

Answer:  Bobby can cut 144 1-inch strips.

Answer:

144

Step-by-step explanation:

All you would need to know is that there is 36 inches in one yard and then you would just multiply the 36 by four to make the four yards total

The Coefficient of the first-degree term is called as Leading coefficients.

Step-by-step explanation:

Answer:

(-7,8.5)

Step-by-step explanation:

On a reflection off the y-axis, the x value gets negated. So 7 would become -7.

Answer: Terri brought 10 more centimeters of rope than Gracie.

Step-by-step explanation:

m=rise/run. so it is also going to the right so it is going to be positive do the rise is one and the run is two. That way m=1/2.

Answer:

is there possibly a photo of the two storage units?

To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube: Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]

To find the difference in volume between two cube-shaped storage units, you'll need to know the side lengths of both cubes. The volume of a cube is given by [tex]V = s^3[/tex], where "V" is the volume, and "s" is the side length.

Let's say the side length of the first cube is "s1" and the side length of the second cube is "s2." Then, the volume of the first storage unit is [tex]V1 = s1^3,[/tex] and the volume of the second storage unit is V2 = [tex]s2^3.[/tex]

To find the difference in volume between the two storage units, you can subtract the volume of the smaller cube from the volume of the larger cube:

Difference in volume = [tex]V2 - V1 = s2^3 - s1^3[/tex]

This formula will give you the numerical value of the difference in volume between the two storage units. If you have specific side lengths for both cubes, you can substitute those values into the formula to calculate the exact difference in volume.

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Answer:

The question is incomplete. The complete question is shown below

1. What is the probability that Earl will have to do both chores?

Ans. (0.8 * 0.8 = 0.64)

2. What is the probability that Earl will have to take out the garbage but will not need to wash the dishes

Ans.( 0.8 * 0.2 = 0.16)

Step-by-step explanation:

1. The probability that Earl will have to do the chores is 0.8

Therefore the probability that Earl will have to do both chores is 0.8 * 0.8 = 0.64

2.The probability that Earl will have to take out the garbage but not need to wash the dishes

0.8 * 0.2 = 0.16

Answer: It’s A

Step-by-step explanation:

If you reflect over the y axis your point changes

Answer:

x = 1 y = 3

Step-by-step explanation:

6x - 3 + 3 = 4x - 1 + 3

6x - 4x = 4x - 4x + 2

2x = 2 ÷ 2

x = 1

y = 6x - 3

y = 6 (1) - 3

y = 6 - 3

y = 3

The correct answer would be, Jeremy rides at a greater speed than Kevin.

Step-by-step explanation:

Jeremy rides at a rate of 12 miles per hour

Kevin rides at a rate given in the table

Let Y be the distance traveled by Jeremy

And X be the number of hours

Then for Jeremy:

y/x = 12/1

=> y= 12 x

For Kevin:  

(46-23)/(4-2)

= 23/2

= 11.5

So for Kevin, Y = 11.5 x

So when Jeremy's and Kevin's rates are compared,

12 > 11.5

which means Jeremy rides at a greater speed.  

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To determine which biker rides at a greater speed, Jeremy's speed of 12 miles per hour must be compared with data from Kevin. Without specific information about Kevin's travel distance and time, we cannot conclude who is faster.

To determine which biker rides at a greater speed, we must first establish the speed at which Jeremy rides his bike. Then we need to compare that speed to the information given for Kevin. Unfortunately, the question as stated does not provide specific details for Kevin's hours and miles. However, we know that Jeremy rides at 12 miles per hour.

Speed is calculated by dividing the distance traveled by the time it takes to travel that distance. For example, if a cyclist like Jeremy travels 12 miles in 1 hour, his speed is 12 mph. In another example, if Billy rides 6 miles in 0.5 hours (30 minutes) at a speed of 12 km/h, we can calculate his speed in miles per hour by realizing that 1 kilometer is approximately 0.621371 miles.

Without Kevin's data, we cannot compare his speed to Jeremy's directly. To determine which biker rides faster, we would need information on the distance Kevin travels and the time he takes to do so.

Slope-intercept form:  y = mx + b

[m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y) or the point where the line crosses through the y-axis]

For lines to be perpendicular, their slopes have to be negative reciprocals of each other. [basically changing the sign (+/-) and flipping the fraction/or switching the numerator and the denominator]

For example:

m = 2 or [tex]\frac{2}{1}[/tex]

Perpendicular line's slope = [tex]-\frac{1}{2}[/tex]

m = [tex]-\frac{1}{4}[/tex]

Perpendicular line's slope = [tex]\frac{4}{1}[/tex] or 4

Since you know the slope of the line is:

y = -3/4x + 5

m = [tex]-\frac{3}{4}[/tex]      

The perpendicular line's slope is [tex]\frac{4}{3}[/tex], so plug it into the equation

y = mx + b

[tex]y=\frac{4}{3} x+b[/tex]        To find b, plug in the point (-3, -3) into the equation

[tex]-3=\frac{4}{3} (-3)+b[/tex]

-3 = -4 + b   Add 4 on both sides to get "b" by itself

1 = b

The y-intercept is 1

Area of the rectangle is 18 units.

Step-by-step explanation:

Area of the rectangle = length[tex]\times[/tex]width

Answer:

-3 and positive 3

Step-by-step explanation:

Answer:

7 and 1

Step-by-step explanation:

To evaluate f(- 5) substitute x = - 5 into f(x)

f(- 5) = - (- 5) + 2 = 5 + 2 = 7

Similarly for f(1)

f(1) = - 1 + 2 = 1

Answer: 36 degrees

Step-by-step explanation:

The angle a is 63 degrees because 177 and a are supplementary and equal 180 degrees. Because there are 180 degrees in a triangle, 63+ 81 is 144. 36 and 144 is 180, therefore b is equal to 36.

Hope this helped!

An exterior angle of a triangle equals the sum of its opposite interiors.

The measure of b is 36 degrees

To calculate angle b, we use the following equation

[tex]b + 81 = 117[/tex] ------- because b and 81 are opposite interior angles to 117

Solving further, we have:

[tex]b = 117 - 81[/tex]

Evaluate like terms

[tex]b = 36^o[/tex]

Hence, the measure of b is 36 degrees

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To determine the weight of the box Kiva's father carries, we calculate 21 pounds as 35% of the father's box weight and find it to be 60 pounds.

Kiva's family is moving and he carries a 21-pound box which is 65% lighter than the box his father carries. To find the weight of the box that Kiva's father carries, we need to determine what weight would be 65% lighter by the smaller box's weight. Let's denote the father's box weight as F. We know that 21 pounds is equal to 35% of the father's box's weight because 100% - 65% = 35%. So, we have:

Therefore, the weight of the box that Kiva's father carries is 60 pounds.

The answer is 130. I did the quiz and got it right.

I really hope this ends up helping you. You got this!

The measure of ∠GDC is 130° as it is calculated by subtracting the arc GEC's measure from the total degrees in a circle, which is 360°.

If the measure of arc GEC in circle D is 230°, to find the measure of ∠GDC,

we recall that the measure of an arc in a circle is equal to the measure of the central angle that intercepts that arc. Since ∠GDC is a central angle intercepting arc GEC, its measure must also be 230°.

However, because we are looking for the measure of the angle inside the circle, we must subtract this angle from the total 360° of the circle.

So,
360° - 230°

= 130°

So, the measure of ∠GDC is 130°.

Answer:3

Step-by-step explanation:

3 ^x= 27

X=3

Answer:  $299.75

Step-by-step explanation: