Use summation notation to write the series -1+2-4+8-16... for 12 terms

Step-by-step explanation:

[tex] \tan(60 \degree) = \frac{opposite}{3} \\ opposite = 3 \tan(60 \degree) \\ = 3 \sqrt{3} [/tex]

Answer:

Length of Ladder(Hypotenuse)=18

Height of wall(Opposite) =14

How far from the base... This talks about the adjacent or distance between the wall and the base.

You can get your answer from Pythagoras theorem

Which states

The square of the hypotenuse is = to the squares of the adjacent and Opposite sides

H² = O² + A²

We're looking for the adjacent "A"

Making A the subject

A² = H² - O²

A= √H² - O²

A= √18² - 14²

A=√128

A= 8√2'

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

x + 14 = 5x - 74 (corresponding angles are equal to each other)

[tex]x + 14 = 5x - 74 \\ 14 + 74 = 5x - x \\ 88 = 4x \\ \frac{88}{4} = x \\ 22 = x[/tex]

Answer:

22

Step-by-step explanation:

Angles x + 14 and 5x - 74 are adjacent angles.

Adjacent angles are equal.

5x - 74 = x + 14

5x - x = 14 + 74

4x = 88

x = 88 / 4

x = 22

Answer:

The answer will be D

Have a great day :)

Answer: it would be D two of the fourth graders own two pets

Step-by-step explanation: if you look at the graph it is showing how many people own how many pets then look for the one with for and however many stars are there which is two people who own four pets

Hope this helps :)

9514 1404 393

Answer:

  B)  fifth grade boys

Step-by-step explanation:

55 tickets is halfway between the lines marked 50 tickets and 60 tickets. The bar that comes closest to that value is the right-most green bar, representing ...

  fifth-grade boys

Answer:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Required

The inverse function

[tex]f(x) = \frac{2x}{7} + 4[/tex]

Replace f(x) with y

[tex]y = \frac{2x}{7} + 4[/tex]

Swap x and y

[tex]x = \frac{2y}{7} + 4[/tex]

Multiply through by 7

[tex]7x = 2y + 28[/tex]

Solve for 2y

[tex]2y = 7x - 28[/tex]

Solve for y

[tex]y = \frac{ 7x-28}{2}[/tex]

Factorize

[tex]y = \frac{ 7(x-4)}{2}[/tex]

Write as:

[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]

Answer:

Whereby circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P

Step-by-step explanation:

The given center of the circle [tex]\bigodot[/tex]O = (-2, 7)

The radius of [tex]\bigodot[/tex]O, r₁ = 5

The given center of the circle [tex]\bigodot[/tex]P = (12, -1)

The radius of [tex]\bigodot[/tex]P, r₂ = 12

The similarity transformation to prove that [tex]\bigodot[/tex]O and [tex]\bigodot[/tex]P are similar are;

a) Move circle [tex]\bigodot[/tex]O 14 units to the right and 8 units down to the point (12, -1)

b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4

Therefore, the radius of circle [tex]\bigodot[/tex]O is increased by 2.4

We then obtain [tex]\bigodot[/tex]O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle [tex]\bigodot[/tex]P

∴ Circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P.

Answer:

Replace the variable m with 32

in the expression.

3/4⋅(32)−12 Simplify each term.

24−12 Subtract 12 from 24.

12

Step-by-step explanation:

Answer:

x<4

Step-by-step explanation:

3x < 12

Divide with 3 on each side

x< 4

In words x has all the real numbers that are less than 4 or x belongs to any number from -ve infinity to 4.

The graph of the inequality 3x < 12 on a number line would consist of an open circle at 4, followed by a shaded region to the left of 4 and extending indefinitely in that direction.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

To graph the inequality 3x < 12 on a number line, we can follow these steps:

- Start by isolating x by dividing both sides of the inequality by 3, which gives us x < 4.

- Draw a number line and mark a point at 4, which is the boundary between the values of x that satisfy the inequality and those that don't.

- Since the inequality is strict (i.e., "less than" and not "less than or equal to"), we need to indicate that the point x = 4 is not included in the solution set.

We can do this by making an open circle (or "unfilled dot") at 4 on the number line.

- Shade the portion of the number line to the left of the point x = 4, since these are the values of x that satisfy the inequality 3x < 12.

We can use an arrow pointing to the left to indicate that the shaded region extends indefinitely in that direction.

Thus,

The graph of the inequality 3x < 12 on a number line would consist of an open circle at 4, followed by a shaded region to the left of 4 and extending indefinitely in that direction.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ3

Answer:

12

Step-by-step explanation:

number of bandana that can be made = total yards of fabric ÷ yards needed to make one bandanna

3 ÷ 1 /4

= 3 x 4 = 12

Answer:

- 4

Step-by-step explanation:

The set of all possible value that would make the above statement true must be less than 4.

Therefore the only option we have is -4

9514 1404 393

Answer:

  -25 dollars per month

Step-by-step explanation:

It is convenient to compute the rate of change using points where the graph crosses grid intersections. A couple of these are ...

  (months, dollars) = (1, 675)  and  (4, 600)

Using the slope formula, we have ...

  m = (y2 -y1)/(x2 -x1)

  m = (600 -675)/(4 -1) = -75/3 = -25 . . . . . dollars/month

Answer:

2/3 pounds of lima beans

Step-by-step explanation:

2 divided by 3 = 2/3 = 2/3

Hope this helps!

Answer:

2/3 pounds (Option B)

Step-by-step explanation:

Using unitary method ,

3 families will receive = 2 pounds of lima beans.

(Dividing both the sides by 3)

⇒ [tex]\frac{3}{3}[/tex]  family will receive = [tex]\frac{2}{3}[/tex] pounds of lima beans

⇒ 1 family will receive = [tex]\frac{2}{3}[/tex] pounds of lima beans.

∴ Each family will receive 2/3 pounds of lima beans.

Answer:

B) (-6,9)

Step-by-step explanation:

since it's reflecting on the x-axis, the x is gonna stay the same. the y changes though. opposite of -9 is 9.

hope this helps <3

Answer:

B, (-6, 9)

Step-by-step explanation:

this is because it's like as if it was a mirror, so that is the correct answer

Answer:

D. 49

Step-by-step explanation:

The area of a circle is pi times the radius squared (A = pi r^2).

so putting in your numbers given you get 7^2

which equals 49

Answer:

the buttons are alredy on the calculator.

Step-by-step explanation:

Step-by-step Answer/Explanation(answers are underlined and bolded):

okay, first you want to identify all the numbers and what they mean:

lawyers:235  (within the main number of lawyers: Criminal lawyers: 74)

Family doctors: 87

Sergeons: 30

From there, add up all of said numbers (ignore the Criminal lawyers for now):

235 + 87 + 30 = 352

(352 is going to be the denominator or the number that we are going to be dividing from.)

Next, we start answering the questions!

the first one is asking for the percent of sergeons.

To do this, we need to take the number of sergeons listed, 30, and divide 352 from it:

30/352 = .0852

then multiply this by 100:

.0852 x 100= 8.52%

So the percent of sergeons is 8.52%

Next question: the percent of Family Doctors

so like the last question, we identify the number of doctors, 87, and divide 352 from it, then multiplying it by 100 after:

87/352 = .2472

.2472 x 100 = 24.72%

Meaning the percent of family doctors is 24.72%

Criminal Law is next:

repeat the steps in the last couple of problems:

72/352 = .2045

.2045 x 100 = 20.45%

Family Law:

Okay, so now, we need to take that 235 from earlier and subtract it from 72 (the criminal law students) to get the number of students going into family law.

235 - 72 = 163

now repeat the steps from the earlier problems:

163/352 = .3864

.3864 x 100 = 38.64%

(I don't particularly understand what the rest is asking...I figure you can probably figure out from here...? I hope this helps!!)

Answer:

Sierra Madre Oceandental range

Answer:

Step-by-step explanation:

I take it the unmarked angle on the top triangle should be Q

The way the triangles are marked the following are the statements.

<Q = < X                Given

RQ  = XZ               Given

XY =  PQ               Given

Is the angle included between the two given sides?

If yes then the Two Triangles are congruent by SAS

If no then the Two Triangles cannot be conclusively known to be congruent.

I have to leave you to figure out the flow chart symbols. I have no way of showing this as a flow chart if it is a computer program flow chart.  

Answer:

FV= $6,750

Step-by-step explanation:

Giving the following information:

Initial investment (P)= $5,000

Interest rate (r)= 5% simple interest

Number of periods (t)= 7 years

To calculate the future value of the investment, we need to use the following formula:

FV= (P*r*t) + P

FV= (5,000*0.05*7) + 5,000

FV= 1,750 + 5,000

FV= $6,750

Answer:

Let's cut the figure into:

Parallelogram, square, and rectangle.

Let's find the area of the parallelogram first:

10 x 3.5 = 35

Let's find the area of the square:

4 x 4 = 16

When given one length of a square you already know are sides and lengths are equal so therefore 1 given length of a square is all the lengths.

Let's find the area of a rectangle:

6 x 12.5 = 75

Now let's add all the areas up:

35 + 16 + 75 = 126 square inches is your answer.

If you mirror the graph along the x axis and it lies on itself ( mirror image) it is even, if not it is odd.

If you mirror the top graph the high/ low points would be opposite so the top graph is odd

The bottoms graph can be mirrored so the bottom graph is even.

Answer:

Symmetry in a regular nonagon

A regular nonagon has 9 lines of symmetry and a rotational symmetry of order 9, meaning that it can be rotated in such a way that it will look the same as the original shape 9 times in 360°. Nine 40° of rotation about the center.

Step-by-step explanation:

Answer:

about 1 hour and 9 minutes or 69 minutes

Step-by-step explanation:

I always add the hour first if I can (from 7:41 to now 8:41) and then add however many minutes are left (9 minutes).

Answer:

Christa went shopping for back to school clothes.

She paid a total of 176 dollars before the tax was added on.

Now, how much will she be paying if the sales tax is 6% what was the total amount she paid.

Solutions:

=> 176 dollars * 6% to get the amount

=> 6% / 100% = 0.06

=> 176 dollars * .06 = 10.56

Now, let’s add to get the answer

=> 176 dollars + 10.56 dollars = 186.56 dollars

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZ

Answer:

it should be d $186.56

Step-by-step explanation:

this should help you

Angle 4 is an exterior angle which is equal to the sum of the two opposite inside angles.

The two opposite inside angles are given as 51 and 51

Angle 3 = 51 + 51 = 102 degrees.

Answer:

[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

thus our equation is

[tex] \displaystyle {51}^{ \circ} + {51}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]

simplify addition:

[tex] \displaystyle {102}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]

cancel 102° from both sides:

[tex] \displaystyle \angle2 = {72}^{ \circ} \cdots \text{I}[/tex]

By straight line theorem we acquire:

[tex] \displaystyle \angle4 + \angle2 = {180}^{ \circ} [/tex]

substitute:

[tex] \displaystyle \angle4 + {72}^{ \circ} = {180}^{ \circ} [/tex]

cancel 72° from both sides:

[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]

hence, the measure of [tex]\angle 4[/tex] is 108°