Write a recursive formula for the sequence –2, 4, –8, 16, ...

please help and thank you

Answer:

Step-by-step explanation:

The formula of an area of a rectangle:

[tex]A_r=lw[/tex]

l - length

w - width

We have l = 12 in and w = 8 in.

Substitute:

[tex]A_r=(12)(8)=96\ in^2[/tex]

The formula of an area of a triangle:

[tex]A_t=\dfrac{bh}{2}[/tex]

b - base

h - altitutde

We have b = 32 in and A - 96 in².

Substitute:

[tex]\dfrac{32h}{2}=96[/tex]

[tex]16h=96[/tex]          divide both sides by 16

[tex]h=6\ in[/tex]

The answers is A: 90 Degrees

Answer:  The correct option is (A) 90°.

Step-by-step explanation:  We are given to find the number of degrees by which the triangle ABC has been rotated counterclockwise about the origin.

From the graph, we note that

the co-ordinates of the vertices of triangle ABC are A(-8, 6), B(-5, 9) and C(-2, 6).

And, the co-ordinates of the vertices of the rotated triangle A'B'C' are (-6, -8), B(-9, -5) and C(-6, -2).

That is, the transformation is as follows :

(x, y)   ⇒    (-y, x).

Since this is the transformation rule for 90 degrees counterclockwise, so the required number of degrees is 90 degrees.

Option (A) is CORRECT.

Answer:

A = bh

A = 15(8)

A = 120 square centimeters

Answer:

The definition of a circle uses the undefined term is plane then the undefined term can contain parallel lines is plane and. The definition of an angle uses the undefined term is point likewise there are 3 possible geometry will fall.

Hope I helped

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

[tex]500 \div 100 \times 25 = 125[/tex]

[tex]500 \div 100 \times 15 = 75[/tex]

[tex]125 - 75 = 50[/tex]

50. From 500 people, 25% that prefer burger represent 125 people and 15% that prefer cheeseburger represent 75. This mean there are 50 more people that prefer burgers than cheeseburgers.

The key to solve this problem is by direct rule of three, we will place the 3 values (which we will call “a”, “b”, and “c”) and the unknown value that we want to figure out (“x”) to apply the formula:

a -----------> b

c -----------> x

[tex]x=\frac{b.c}{a}[/tex]

The circle graph represents the responses from 500 people in percentage.

To calculate the amount of people that prefer burgers:

If 100% ----------------> 500 people

    25% ----------------> x

[tex]x=\frac{(500)(25)}{100}= 125[/tex] which means 125 people prefer burgers

To calculate the amount of people that prefer cheeseburgers:

If 100% ----------------> 500 people

    15% ----------------> x

[tex]x=\frac{(500)(15)}{100}= 75[/tex] which means 75 people prefer cheeseburgers.

In order to know how many more people prefer burgers than cheeseburgers, let's apply the difference between people who prefer burgers and people who prefer cheeseburgers:

125 - 75 = 50 which mean 50 more people prefer burgers than cheeseburgers.

Answer: 30

Step-by-step explanation:

Answer:

The answer would be Meters.

Step-by-step explanation:

The length of the soccer field is measured in Meters.

There are units to measure everything. Like length is measured in units of millimeter, centimeter, meter, kilometer etc, weight is measured in milligram, gram, kilogram, etc, height is measured in inches, feet, etc.

A soccer field is the ground on which soccer is played. This field is measured in meters. The soccer field has different dimensions. There are standard touch lines, goal lines. Touch lines and goal lines dimensions are different for international play. These lines or dimensions are measured in meters.

Answer:

1, 2, 3, 5, 6, 10, 15, 30.

Answer:

Positive factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Step-by-step explanation:

We are asked to list the positive factors of the number 30.

Factors are the whole numbers which when multiplied together produce another number. So positive factors only include the whole numbers that are greater than 0.

Positive factors of 30 include the following whole numbers:

[tex]1, 2, 3, 5, 6, 10, 15, 30[/tex]

Answer:

D) x = -12 or x = 2

Step-by-step explanation:

The given quadratic equation is:

[tex]y=x^2+10x-24[/tex]

When y=0, we obtain:

[tex]x^2+10x-24=0[/tex]

We split the middle term with -2, 12 because their product is is -24 and their sum is 10.

[tex]x^2-2x+12x-24=0[/tex]

We factor by grouping to obtain:

[tex]x(x-2)+12(x-2)=0[/tex]

[tex](x-2)(x+12)=0[/tex]

Either [tex](x-2)=0[/tex] or [tex](x+12)=0[/tex]

Either [tex]x=2[/tex] or [tex]x=-12[/tex]

The slope would be the first one, 2/3. Hope this helps! Please mark brainliest! :) Thanks v much! :)

Answer:

2/3

Step-by-step explanation:

Answer:

y= 300 - 5/9x

Step-by-step explanation:

0.8y = 240 - 0.5x

divide both sides by 0.8,

y= 300 - 5/9x

-5/9 is your gradient

300 is your y-intercept

To graph 0.5x + 0.8y = 240, first arrange the equation into y = mx + b form, where m is the slope and b is the y-intercept. Finally, plot this equation on a graph using the slope and y-intercept.

To graph the equation 0.5x + 0.8y = 240, you need to first arrange it in the form of y = mx + b (slope-intercept form), where m is the slope and b is the y-intercept.

Solving for y, we get:

0.8y = -0.5x + 240

y = -0.625x + 300

Then you can plot this equation in the format y = mx + b on a graph. Place the y-intercept at 300 on the y-axis. From there, use the slope (-0.625) to find the second point: down 0.625 units and to the right 1 unit. Repeat this step to plot a few points and then draw a line passing through them.

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Answer:

= 8.54 × 101

(scientific notation)

= 8.54e1

(scientific e notation)

= 85.4 × 100

(engineering notation)

(one)

= 85.4

(real number)

ANSWER

[tex]< \frac{1}{5} , - \frac{1}{3} \: >[/tex]

EXPLANATION

The given vector , u has the following components,

[tex]u = < \: - 5 , - 3 \: > [/tex]

If two vectors are orthogonal, then their dot product is zero.

[tex]< \: - 5 , - 3 \: > \bullet < \: \frac{1}{5} , - \frac{1}{3} \: > = - 5 \times \frac{1}{5} \times - 3 \times - \frac{1}{3} = - 1 + 1 = 0[/tex]

Hence,the vector

[tex] < \frac{1}{5} , - \frac{1}{3} \: >[/tex]

is orthogonal to vector u.

Answer:

B) 8

Step-by-step explanation:

To count the number of possibilities on a tree diagram, all you need to do is count the total number of "branches" at the end of the "tree". Here, that is 8. Also, if the tree gets too big, you can multiply the number of combinations in the first sector, then the second, and so on. So, that will be 4 * 2 = 8.

Answer:

B). 8

Step-by-step explanation:

i go this right on my quiz if u want proof scroll down

I really hope this helps someone! have a great day!!

For this you have to make two proportions that are [tex]\frac{part}{whole}[/tex] and set them equal to each other.

The first proportion represents the percent of people who like silver as their favorite car color

Since this is a circle graph the whole will always be 100 because percents are always taken out of 100

The part would be 10 because only 10% out of the 100% like silver

The second proportion is the people that represent the response.

350 would be the whole because that is the total amount of people surveyed

The part is unknown and what you are solving for.

Here is how the proportion should look like:

[tex]\frac{10}{100} = \frac{x}{350}[/tex]

Cross multiply (If you don't know what this is look at the image below to see my work)

The cross multiplication will give you:

3500 = 100x

Isolate x by dividing 100 to both sides

3500/100 = 100x/100

35 = x

This means that 35 people out of the 350 surveyed like silver cars

Hope this helped!

Answer:

If the circle graph below represents the responses from 350 people, how many people chose silver as their favorite car color?

100

35

10

350

Step-by-step explanation:

D. is right plz put me Brainliest plz  

Answer:

Step-by-step explanation:

Graph y = -3x.  Start at the origin (0, 0).  Place a dark dot there.  Now, starting with your pencil point on that dot, move 1 space to the right and from this new point move 3 spaces down.  Place a dark dot at this new point.

Now draw a straight line through both dark dots.  This is the desired graph.

Step-by-step explanation: Let's graph the equation y = -3x using its slope and y-intercept. The problem here is that our equation doesn't match up quite so well with the formula y = mx + b

Our slope or m which is represented by the coefficient of the x-term is clearly -3. However, you might be asking what is our y-intercept or b. Well, y = -3x can be thought of as y = -3x + 0. So you can now see that our b or y-intercept equals 0.

To graph the line, we start with the y-intercept. So our first point is a 0 on the y-axis and we call that point A. When the slope is a integer, you can change it to a fraction by putting it over 1. So our slope of -3 can be thought of as -3/1.

From point A, we would go down 3 units and over 1 unit to plot point B. Now we can connect points A and B like I did in the picture and we have our line.

Answer:

d = 3

Step-by-step explanation:

3.5d + 6.25 = 1 + 5.25d

5.25d - 3.5d = 6.25 - 1

1.75d = 5.25

d = 5.25 ÷ 1.75 = 3

Answer:

Step-by-step explanation:

If for x ≤ y < z

x² + y² = z²

then x, y and z form a right triangle.

1 .

15m, 20m, 25m

15² + 20² = 225 + 400 = 625

25² = 625

CORRECT :)

2.

3ft, 6ft, 5ft

3² + 5² = 9 + 25 = 34

6² = 36

34 ≠ 36

3.

10in, 41in, 40in

10² + 40² = 100 + 1600 = 1700

41² = 1681

1700 ≠ 1681

4.

7cm, 8cm, 10cm

7² + 8² = 49 + 64 = 113

10² = 100

113 ≠ 100

see if u understand the answer

Answer:

C

Step-by-step explanation:

The circumference (C) of a circle is calculated using

C= 2πr ← r is the radius and has to be found

Given C = 20π , then

2πr = 20π ( divide both sides by 2π )

r = [tex]\frac{20\pi }{2\pi }[/tex] = 10

The area (A) of a circle is calculated using the formula

A = πr² = π × 10² = 100π m² → C

Answer: 2.0736 ft

Step-by-step explanation:

Bounce 1: 16*3/5=9.6

Bounce 2: 9.6*3/5=5.76

Bounce 3: 5.76*3/5=3.456

Bounce 4: 3.456*3/5=2.0736

Answer:

The ball will bounce to 2.07 feet after 4th drop.

Step-by-step explanation:

Bradley dropped a ball from a roof 16 feet high. So, its the initial height.

Each time the ball hits the ground it bounces 3/5 the previous height.

Means after 1st drop, the ball will again rise to [tex]\frac{3}{5}\times16= 9.6[/tex] feet.

Similarly after 2nd drop, it will bounce to  [tex]\frac{3}{5}\times9.6=5.76[/tex]

After 3rd drop, it will bounce to [tex]\frac{3}{5}\times5.76=3.456[/tex] feet

After 4th drop, it will bounce to [tex]\frac{3}{5}\times3.456=2.0736[/tex] feet

Hence, the ball will bounce to 2.07 feet after 4th drop.

well then, the volume of the nose cone will just be the sum of the volume of the cylinder below and the cone above.

since the diameter for both is 8, then their radius is half that, or 4.

[tex]\bf \stackrel{\textit{volume of a cone}}{V=\cfrac{\pi r^2 h}{3}}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=6 \end{cases}\implies V=\cfrac{\pi (4)^2(6)}{3}\implies V=32\pi \\\\\\ \stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=6 \end{cases}\implies V=\pi (4)^2(6)\implies V=96\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{volume of the nose cone}}{32\pi +96\pi \implies 128\pi }\qquad \approx \qquad 402.12[/tex]

Answer: i think a diamond

Step-by-step explanation:

Let's assume these are the vertices in order and calculated the squared lengths of the sides.  Let's calculate the vector for each side, which is the difference of the endpoints:

(7,10) - (4,7) = (3, 3)

(4,7) - (6,5) =(-2, 2)

(6,5) - (9,8) = (-3, -3)

(9,8) - (7,10) = (2, -2)

We see the pattern: (3,3) = -(-3,-3) and (-2,2) = -(2,-2)

We have two pairs of opposite vectors so we have a parallelogram.

Let's check the dot product of adjacent sides:

(3,3) . (-2, 2) = 3(-2) + 3(2) = 0

Zero dot product, we have perpendicularity. A parallelogram with one right angle is a

Answer: Rectangle

The adjacent sides are clearly not congruent  so it's not a square

.

Answer:

C is the answer i did this before!

Step-by-step explanation:

Answer:

Final Price: 531.10

Discount: 132.77

Step-by-step explanation:

663.87 is 100%

? is 20%

?=20•663.87/100~$132.77 taxes

Net pay= 663.87-132.77=$531.1

from 50 to 35 is 15, so it went down by $15.

if we take 50 to be the 100%, what is 15 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 50&100\\ 15&x \end{array}\implies \cfrac{50}{15}=\cfrac{100}{x}\implies \cfrac{10}{3}=\cfrac{100}{x}\implies 10x=300 \\\\\\ x=\cfrac{300}{10}\implies x=30[/tex]

Answer:

-30%

Step-by-step explanation:

The decrease in price was $15.

Divide $15 by $50, obtaining 0.30, which in turn is mult. by 100%.

The percentage change, from $50 to $35, was -30%.

Answer:

f(x) = 4^x

Step-by-step explanation:

In f(x) = (1/4)^x, 1/4 is equal to 0.25, which is less than 1, so its decreasing

In f(x) = 4^x, 4 is greater than 1, so its increasing

In f(x) = (0.4)^x, 0.4 is less than 1, so its decreasing

This is why f(x) = 4^x is the correct answer

I hope this helps!

The surface area of the two triangles is 12 cm^2.

3*4=12

The surface area of the bottom rectangle is 8 cm^2.

4*2=8

The surface area of the rectangle that is on the left side of the figure is 6 cm^2.

3*2=6

The surface area of the rectangle that is on the top side of the figure is 10 cm^2.

To find the third side of the triangle, use the Pythagorean theorem.

3^2+4^2=h^2

9+16=25

The third side of the triangle is 5 cm.

The surface area of the whole figure is 36 cm^2.

12+8+6+10=36

Answer:

AREA:

[tex]A=216.42m^2[/tex]

CIRCUMFERENCE:

[tex]C=52.15m[/tex]

Step-by-step explanation:

The formula that is used to calculate the area of a circle is:

[tex]A=\pi r^2[/tex]

Where "r" is the radius of the circle.

The formula for calculate the circumference of a circle is:

[tex]C=2\pi r[/tex]

Where "r" is the radius of the circle.

Then, you need to find the radius. This is:

[tex]r=\frac{16.6m}{2}=8.3m[/tex]

Substituting the radius, you get that the area and the circumference are:

AREA:

[tex]A=\pi (8.3m)^2=216.42m^2[/tex]

CIRCUMFERENCE:

 [tex]C=2\pi (8.3m)=52.15m[/tex]

Answer with step-by-step explanation:

We are given a circle which is divided into two halves and has a diameter of 16.6 meter. We are to find the area and circumference of the circle to the right.

It means that our radius will be the half of the given diameter.

Radius = 16.6/2 = 8.3 m

Area = [tex]\pi r^2[/tex] = [tex]\frac{\pi \times (8.3)^2}{2}[/tex] = 216.4 m^2

Circumference = [tex]2 \pi r[/tex] = [tex]2 \times \pi \times 8.3[/tex] = 52.2 m

15+75=J.

So the jeans should be $90

Answer-

add 15 from 75 then that is it

75+15=90

Answer:

The correct answer is option A.   25°

Step-by-step explanation:

From the figure we can see an isosceles triangle. FGE

<G = 65° (given)

m<G = m<E = 65°

To find the value of m<HFE

Consider the triangle FHE in the figure we get,

m<E +  m<HFE + m<FHE  = 180

m<HFE = 180 - (m<E + m<FHE)

 = 180 - (65 + 90) = 25°

Therefore m<HFE = 25°

The correct answer is option A.   25°

The correct answer is option A. 25°