help please i dont get it

Help Please I Dont Get It

Answers

Answer 1

Answer:

  (c)  x = 2 and x = -8

Step-by-step explanation:

The rules of logarithms let you rewrite this as a quadratic equation. That equation will have two (2) potential solutions. We know from the domain of the log function that any negative value of x will be an extraneous solution.

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The rules of logarithms that apply are ...

  [tex]\log(a)+\log(b)=\log(ab)\qquad\text{all logarithms to the same base}\\\\\log_b(a)=c\ \Longleftrightarrow\ b^c=a\\\\[/tex]

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take antilogs

We can rewrite the equation so that only one logarithm is involved. Then we can take antilogs.

  [tex]\log_4(x)+\log_4(x+6)=2\\\\\log_4(x(x+6))=2\qquad\text{using the first rule}\\\\4^2=x(x+6)\qquad\text{using the second rule}[/tex]

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solve the quadratic

Adding (6/2)² = 9 to both sides will "complete the square."

  16 +9 = x² +6x +9 . . . . . . . add 9

  25 = (x +3)²

  ±√25 = x +3 = ±5 . . . . . take the square root(s)

  x = -3 ±5 = {-8, +2}

The two potential solutions are x = 2 and x = -8.

Answer 2

[tex]\\ \rm\Rrightarrow log_4x+log_4(x+6)=2[/tex]

[tex]\\ \rm\Rrightarrow log_4(x(x+6))=2[/tex]

Take 4 right

[tex]\\ \rm\Rrightarrow x(x+6)=4^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+6x=16[/tex]

[tex]\\ \rm\Rrightarrow x^2+6x-16=0[/tex]

[tex]\\ \rm\Rrightarrow x^2-2x+8x-16=0[/tex]

[tex]\\ \rm\Rrightarrow x(x-2)+8(x-2)=0[/tex]

[tex]\\ \rm\Rrightarrow (x+8)(x-2)=0[/tex]

[tex]\\ \rm\Rrightarrow x=-8\:and\:x=2[/tex]


Related Questions

What is 850,000,000,000,000,000 divided by 860,000,000,000,000,000,000,000

Answers

the answer would be 9.88372093e-7

1 )Simplify.

[tex]\frac{850000000000000000}{8.6E}[/tex]+23

2 )Answer

9.88372093e-7

3/4=6/x x =

!!!!PLEASE HELP I WILL MARK BRAINLIEST!!!!

Answers

Answer:

x=8

Step-by-step explanation:

You cross multiply, 6 times 4 is 24, so what times 3 is 24. 8 times 3 is 24.

Answer:

  x = 8

Step-by-step explanation:

There are several ways you can solve a proportion like this. Most of the algebraic solutions involve what amounts to multiplying both sides by (4x/3). There are also graphical solutions and solutions that rely on relations that make fractions be equal.

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cross multiplication

The method of solution usually recommended is to "clear fractions" and then solve the resulting one-step linear equation. To "clear fractions," multiply both sides of the equation by the least common denominator: 4x.

  [tex](4x)\dfrac{3}{4}=(4x)\dfrac{6}{x}\\\\3\cdot x=4\cdot6\qquad\text{looks like "cross multiplication"}[/tex]

We describe this as "cross-multiplication" because it looks like each numerator has been multiplied by the opposite denominator.

This "one-step" linear equation is solved by dividing by the coefficient of x, which is 3:

  [tex]\dfrac{3x}{3}=\dfrac{4\cdot6}{3}\\\\\boxed{x=8}\qquad\text{simplify}[/tex]

Note that we could have done these operations in one step. The two steps, multiply by 4x and divide by 3, are identical to the one step, multiply by (4x/3).

  [tex]\left(\dfrac{4x}{3}\right)\cdot\dfrac{3}{4}=\left(\dfrac{4x}{3}\right)\cdot\dfrac{6}{x}\\\\\boxed{x=8}\qquad\text{simplify}[/tex]

__

compare fractions

We can see the solution almost immediately if we rewrite the fractions so they have the same numerator.

  [tex]\dfrac{3}{4}=\dfrac{6}{x}\\\\\dfrac{3\cdot2}{4\cdot2}=\dfrac{6}{x}\\\\\dfrac{6}{8}=\dfrac{6}{x}\ \Longrightarrow\ \boxed{x=8}[/tex]

The same thing happens if we multiply the equation by the inverse of either side.

  [tex]\dfrac{3}{4}=\dfrac{6}{x}\ \Longrightarrow\ \left(\dfrac{4}{3}\right)\dfrac{3}{4}=\left(\dfrac{4}{3}\right)\dfrac{6}{x}\ \Longrightarrow\ 1=\dfrac{8}{x}\ \Longrightarrow\ \boxed{x=8}\\\\\textsf{ or ...}\\\\\dfrac{3}{4}=\dfrac{6}{x}\ \Longrightarrow\ \left(\dfrac{x}{6}\right)\dfrac{3}{4}=\left(\dfrac{x}{6}\right)\dfrac{6}{x}\ \Longrightarrow\ \dfrac{x}{8}=1\ \Longrightarrow\ \boxed{x=8}[/tex]

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graphical solution

If the equation is rewritten to a form that has a value of 0 at the solution, then the x-intercept of the graph will be the solution to the equation.

  3/4 = 6/x . . . . . . . . original equation

  6/x -3/4 = 0   ⇒   f(x) = 0

  f(x) = 6/x -3/4

The graph shows the solution to f(x) = 0 is x=8.

Select the values that make the inequality v >= 1 true . ( Numbers written in order from least to greatest going across .)

Answers

The values that make v >= 1 true are 2, 3, 4, 5....

How to determine the values?

The inequality is given as:

v >= 1

Rewrite properly as:

v ≥ 1

The above means that the true values of v are values greater than 1.

Hence, the values that make v >= 1 true are 2, 3, 4, 5....

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Evaluate:
lim h->0 (√(x+h) - √x) / h

Answers

Rationalizing the numerator, it is found the result of the limit is given as follows:

[tex]\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} = \frac{1}{2\sqrt{x}}[/tex]

What is a limit?

A limit is given by the value of function f(x) as x tends to a value.

The first step to find the limit is replace the variable by the value, hence:

[tex]\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} = \frac{0}{0}[/tex]

Undefined limit, hence we have to find another way. The numerator includes square roots, hence it should be rationalized using the subtraction of perfect squares, as follows:

[tex]\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} \times \frac{(\sqrt{x + h} + \sqrt{x})}{(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{(\sqrt{x + h})^2 - (\sqrt{x})^2}{h(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{x + h - x}{h(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{h}{h(\sqrt{x + h} + \sqrt{x})}[/tex]

Then we simplify the h, so:

[tex]\lim_{h \rightarrow 0} \frac{1}{\sqrt{x + h} + \sqrt{x}} = \frac{1}{2\sqrt{x}}[/tex]

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Find the volume of a cube with side lengths of 12 cm

Answers

Answer:

1728 cm³

Step-by-step explanation:

 Finding the volume of a cube is a simple process that is easy to remember. The formula for finding the volume of a cube is commonly taught as L × W × H (Length × Width × Height). This formula also works with finding the volume of rectangular prisms.

 Since the shape you're finding the volume of is cube, the length is equal to its width as well as its height.

 The first step of this problem is to plug in known values to the formula. Since length L = 12 cm, width W and height H are also equal to 12 cm.

 12 × 12 × 12 is the new expression. The next step is to simplify this expression by multiplying.

 Based on times tables, 12 × 12 = 144. So, the expression can be partially simplified to 144 × 12 for easier multiplication.

 144 × 12 can be split into an addition problem based on the Distributive Property of Multiplication:

144 × (10 + 2)              Expand the expression to remove parentheses.

144 × 10 + 144 × 2       Multiply 144 × 10 and 144 × 2.

1440 + 288                 Add the two addends.

1728                            Remember to add back the units!

1728 cm³

The volume of a cube with side lengths of 12cm is 1728 cm³.

Note:

This step-by-step explanation is for better understanding how to do this mentally or without a calculator. In a calculator, finding the volume of a cube can be found by inputting either of these:

(Side Length) × (Side Length) × (Side Length) =

(Side Length) [(x³) or (³), depending on the model of calculator] =

State true or false. (i) Cube of any odd number is even. F (ii) A perfect cube does not end with two zeros.T (iii) If square of a number ends with 5, then its cube ends with 25. F (iv) There is no perfect cube which ends with 8. F (v) The cube of a two digit number may be a three digit number. F (vi) The cube of a two digit number may have seven or more digits. (vii) The cube of a single digit number may be a single digit number. T
Give reasons why​

Answers

i. Cube of any odd number is even. False

ii.  A perfect cube does not end with two zeros. True

iii.  If square of a number ends with 5, then its cube ends with 25. False

iv. There is no perfect cube which ends with 8. False

v. The cube of a two digit number may be a three digit number. False

vi.  The cube of a two digit number may have seven or more digits. False

vii. The cube of a single digit number may be a single digit number. True

Reasons

i.  Cube of any odd number is even. This statement is false because the cube of odd numbers are also odd

ii.  A perfect cube does not end with two zeros. This statement is True because the cube of a two digit number cannot be a 3 digit number and therefore cannot end with two zeros.

iii.  If square of a number ends with 5, then its cube ends with 25. This statement is False

Using the illustration

35^2 = 35 x 35= 1225 , its square ends with 5

35^3= 35 x 35 x 35= 42875 which ends with 75

iv.  There is no perfect cube which ends with 8. This statement is False.

Using the illustration, the cube of 2 is given thus

2 * 2 * 2 = 8

The cube of 2 ends with 8

v. The cube of a two digit number may be a three digit number. This statement is False.

Using the illustration, 10 is a two digit number

10 * 10 * 10 = 1000

The cube of 10 which is a two digit number is not a three digit number and same applies to all two digit numbers

vi  The cube of a two digit number may have seven or more digits. This statement is False because the cube of a two digit number can only be a four digit number.

vii. The cube of a single digit number may be a single digit number. This statement is True because the cube of a single digit number can be a single, two or three digit number.

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2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the father and son​

Answers

Answer:

The Father is currently 47 and the Son is 7

Step-by-step explanation:

Let F and S be the present ages of Father and Son, respectively.

We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]

We also learn that (F+3) = 5(S+3)  [3 years later it will be 5 times only]

Take the first expression and isolate one of the variables (S or F).  I'll isolate F:

(F-2) = 9(S-2)

F = 9S - 16

Now use this in the second expression:

(F+3) = 5(S+3)

((9S-16)+3) = 5(S+3)

9S-13 = 5S+15

4S = 28

S = 7

Since F = 9S-16,

F = 9*(7)-16

F = 47

Father is 47 and Son is 7

CHECK:

Was the father 9 times the age of his son 2 years ago?

Father would have been 45 and son 5.  Yes, 9*5 = 45

In 3 years will he be 5 times older than his son?  Yes, Father would be 50 and son would be 10.  5*(10) = 50

MATH!!! find the surface area of the prism

Answers

3x3=9 3x7=21 3x7=21 because their are 6 sides you do 2 times each of these giving:

(9x2) + (21x2) + (21x2)
=102cm^2

Consider the following graph.

Which statement best describes Cheryl's commute?

A. Cheryl accelerated to 65 mph, made a stop for 5.5 minutes, and then decelerated to 45 mph.
B. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and the decelerated to 45 mph.
C. Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.
D. Cheryl drove at a speed of 65 mph for 1 minute, made a stop for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes

Answers

Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.Option C is correct.

What is a graph?

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

Cheryl traveled at a steady pace for 5.5 minutes, then 45 mph for 2.5 minutes after traveling at 65 mph for a minute.

Statement C best describes Cheryl's commute.

Hence option C is correct.

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Write an equation for the linear function f with the given values

Question number 8

Answers

Answer:

5. y = 2/3x + 1

8. y = 4/7x - 4

Step-by-step explanation:

5. (-6, -3) and (6, 5)

You can use the slope formula which is (y2-y1)/(x2-x1) to find the slope and plug it back into the slope-intercept form to find the y-intercept

(5-(-3)) / (6-(-6)) = 8 / 12 = 2/3

slope-intercept form: y=mx+b where m is the slope and b is the y-intercept

to find b you can plug in one of the coordinates and the slope

5 = 6(2/3) + b

5 = 4 + b

1 = b

y = 2/3x + 1

8. (-7, -8), (21, 8)

m = (8 -  (-8)) / (21 - (-7)) = 16 / 28 = 4/7

plug in one of the coordinates and the slope to find b or the y-intercept

8 = 21(4/7) + b

8 = 12 + b

-4 = b

y = 4/7x - 4

A rectangular prism has a square base with a width of 6 and a volume of 360 cm3. If a square pyramid has a base with the same width and height, what is the volume of the pyramid? Round to the nearest tenth.

Answers

The volume of the square pyramid is the one-third of the square prism with same height and base area. Then the volume of the pyramid will be 120 cubic cm.

What is the volume of the pyramid?

Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.

Then the volume of the pyramid will be

V = (L × B × H) / 3

The volume of the square prism will be

V = (L × B × H)

Then the volume of the square pyramid is the one-third of the square prism with same height and base area.

[tex]\rm V_{pyramid} = \dfrac{V_{prism} }{3}[/tex]

A rectangular prism has a square base with a width of 6 and a volume of 360 cm³.

If a square pyramid has a base with the same width and height.

Then the volume of the pyramid will be

V = 360 / 3

V = 120 cubic cm

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sin(90° - x) = sqrt3/2

Answers

This will help if you don’t know how to use ask

can someone please help me with this problem?

Answers

f(2) = 53 should be the answer

I require assistance.

Answers

Answer:

its 3.348 - crown pls

Step-by-step explanation:

easiest way of doing this is multiplying the total by the known number then put that number on top. After that divide and check if its right

Fred's garage has a leaky roof. There are 24 holes in the roof. If it costs $124 to fix each hole, how much will it cost to fix all of the holes?

A. Subtract 24 from 124

B. Multiply 24 by 124

C. Add 124 to 24

D. Divide 124 by 24 ​

Answers

D. Divide 124 by 24

the answer would be about $5.16

Uhhhhhh????????????!

Answers

Answer:

2y + 3 = 4y + 2; y = 1/2

Step-by-step explanation:

to find this equation we can use the ys and the 1s to create an equation

so

in the left side

there are 2 ys and 3 1s

your equation is

2y + 3

on the other side

it is

4 ys and 2 1s

so

4y + 2 is your equation

then yo uset them equal to each other

2y + 3 = 4y + 2

if you must solve

subtract 2y and 2 from both sides

1 = 2y

then divide both sides by 2

y = 1/2 is your answer

The graph of a function f(x) is shown. What is the value of f(-2)?

Answers

Answer:

  f(-2) = 0

Step-by-step explanation:

The value of the function for a particular x-value can be read from the graph.

Graph

The graph is a map showing the value of f(x) for each value of x for which the function is defined. The x-values are identified by the numbers on the horizontal x-axis. The corresponding function values are found by referencing the vertical y-axis.

Function value

To find the function value f(x) for x=-2, we locate the vertical grid line marked with -2 at the x-axis. We then locate the point on the graph of the function where it crosses that vertical grid line. Tracking horizontally from that point to the vertical y-axis, we can read the function value from the vertical scale.

The attachment has a red arrow pointing to the intersection of the graph with the grid line x=-2. That point of intersection lies on the x-axis, where the y-value is 0. That means ...

  f(-2) = 0

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Additional comment

On this graph, the axis crossing point (x=0, y=0) is not labeled. It is halfway between x=-1 and x=1. Similarly, it is halfway between y=-1 and y=1. Based on this and on experience with similar graphs, you can assume that the axis crossing has coordinates (x, y) = (0, 0).

The sum of the ages of 5 children is 20 years, after how many years will the sum of their ages be 40 years. a) 4 b) 5 c) 10 d) 20

Answers

Answer:

20

Step-by-step explanation:

each year each child will get additional age

example 5 children average of the age 20 years old.

after 20 years all of them.will be 20+20=40 years old.

the group of the children not changing but average of the groups will be increase in 20 years.

Does the taxable capital gains added to the banker’s income move them to a higher tax rate?

Answers

The taxable capital gains added to the banker’s income move them to a higher tax rate. the statement is true.

What is income tax?

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

Qualified plans provide two tax benefits that are not available in other types of investments.

Tax rates will be higher in the future with the increment of time, but the benefits of the tax-deferred savings plan will overcome higher tax rates over time.

The taxable capital gains added to the banker’s income move them to a higher tax rate. the statement is true.

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The graph of y =[tex]\sqrt[]{x}[/tex]nis transformed as shown in the graph below. Which equation represents the transformed function?

Answers

Answer:

[tex]\textsf{A)}\quad y=-\sqrt{x}+2[/tex]

Step-by-step explanation:

Parent function:

[tex]y = \sqrt{x}[/tex]

The properties of the parent function are:

Starts at the origin, so y-intercept is at (0, 0)Domain: x ≥ 0Range: y ≥ 0As x increases, y increases

From inspection of the graph, as the x-values increase, the y-values decrease. Therefore there has been a reflection in the x-axis.

The y-intercept is now at (0, 2), therefore the function has been translated 2 units up.

Translations

For a > 0

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

Therefore:

Reflected in the x-axis:  [tex]-f(x)=-\sqrt{x}[/tex]

Then translated 2 units up:  [tex]-f(x)+2=-\sqrt{x}+2[/tex]

So the equation that represents the transformed function is:

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

If triangles ABC and DEF are congruent, then find the measure of DE.​

Answers

Answer:

DE = 3 Units

Reason -

In the question it is given that triangle ABC is congruent to triangle DEF

if a triangle is congruent to other triangle than the corresponding parts of it (.ie sides and angles) are equal to that of other

f(x)=3x^4-5x^2 this function is because

Answers

This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.

Is this a function?

A function is a relation that maps inputs (usually written as x) into outputs (usually written as y). Such that each input is mapped into only one output.

For example, if we had:

y = ±√x

Notice that for the same input x = 1, we would have two outputs:

y = 1 and y = -1.

So that is not a function.

Now, for the given one:

[tex]y = f(x) = 3x^4 - 5x^2[/tex]

This is a polynomial of degree 4, for each value of x, we get only one value of y, so we conclude that this is a function.

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Think about the zoo meals in another way. Many different foods are prepped in the commissary for the
animals. Though each animal has a very specific combination of foods, there may be foods repeated in diets
for different animals. For example, cabbage may be used in the morning meals for 20 different animals. If
the food is the input, and the animal is the output, is this relationship a function?

Answers

Answer:

89

Step-by-step explanation:

Mo travels 30 miles in 45
minutes.
He then travels 18 miles in 30
minutes.
Calculate his average speed.

Answers

Answer:

38.4 miles per hour

Step-by-step explanation:

30 miles in 45 minutes

18 miles in 30 minutes

Average speed =   total distance / total time

                          =    (30+18) / ( 45 min + 30 min)

                          = 48 miles / ( 1.25 hr ) = 38.4 miles per hour

A quarter weighs the same as two pennies. If a pound of quarters is worth $25, then how much is a pound of pennies worth?

Answers

Answer:

$2

Step by Step:

Four quarters is one dollar

Four quarters is 8 pennies

Multiply 8 by 25 (25 being the value of the quarters)

25 cents is times four is one dollar

.25x4=1, 25x4=100, 100x.25=25

2x4=8 8x25=200

A pound of pennies is worth $12.5.

What is Multiplication?

In mathematics, multiplication is one of the basic operations where one number is multiplied or added repeatedly to itself as times as that of the other number. Multiplication of two numbers a and b is represented as "a × b", read as a multiplied to b or a times b.

For example 2 multiplied to 4 implies that 2 is added to itself like 4 times (2+2+2+2) or 4 is added to itself 2 times (4+4).

We have from the question,

1 quarter = 2 pennies

Also, it is given that,

A pound of quarters = $25

Since 1 quarters = 2 pennies, we have,

A pound of 2 pennies = $25

A pound of 1 penny = 25 / 2

                                 = 12.5

Hence we have a pound of pennies worth $12.5.

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What is the perimeter of square abcd? startroot 37 endroot units 4 startroot 37 endroot units 28 units 37 units

Answers

Answer:

Step-by-step explanation:

All you have to do is add the four sides together and that should be your answer.

(B.) 4√37 units

Good luck! Please rate if this helped! <3

9) Find ST
geometry

Answers

ST and RU are equal,

24x =  23x + 1

Subtract 23x from both sides:

x = 1

Now replace x to solve for ST

24x = 24(1) = 24

ST = 24

In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR.

Answers

1) [tex]\overline{RS} \perp \overline{ST}, \overline{RS} \perp \overline{SQ}, \angle STR \cong \angle SQR[/tex] (given)

2) [tex]\overline{RS} \cong \overline{RS}[/tex] (reflexive property)

3) [tex]\angle RST[/tex] and [tex]\angle RSQ[/tex] are right angles (perpendicular lines form right angles)

4) [tex]\triangle RST \cong \triangle RSQ[/tex] (AAS)

180 is equivalent to π/2 radians

true
false

Answers

Answer:

[tex]\fbox {False}[/tex]

Step-by-step explanation:

To convert a degree measure to radian measure, multiply with π/180.

⇒ 180 × π/180

⇒ π radians

false is the answers

please mark me as brainlest

need how to do this anyyonnneeeehr​

Answers

the total area of the figure A = 144.5 cm²

How to find the area?

First, the area of a rectangle of length L and width W is:

A = W*L

Here we have:

L = 13cm

W = 9cm

Then the area is:

A = 9cm*13cm = 117 cm²

For a triangle of height H and base B, the area is:

A = B*H/2

Here the base measures 11cm, and the height is:

H = 13cm - 8cm = 5cm

So the area of the triangle is:

A= 5cm*11cm/2 = 27.5cm²

Then the total area of the figure is:

area =  27.5cm² +  117 cm² = 144.5 cm²

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the cost of 10 water bottles is $55. find the unit cost of the water bottle Use the graph below to answer the following question: graph of parabola going through negative 4, 4, negative 1, 5, and 1, negative 1 What is the average rate of change from x = 4 to x = 1? (6 points) 3 1 0 1 a nurse is presenting a program for a local women's group about stis. when describing the information, the nurse would identify which infection as the most common cause of vaginal discharge? HELPP URGENT and please explain Olivia has taken out a $13,100 unsubsidized Stafford loan to pay for her college education. She plans to graduate inour years. The loan has a duration of ten years and an interest rate of 7.6%, compounded monthly. By the time Oliviagraduates, how much greater will the amount of interest capitalized be than the minimum amount that Olivia could payto prevent interest capitalization? Round all dollar values to the nearest cent.a. $654.45b. $477.27C. $995.60d. $354.22 how did the reformation prevent european unification Decide which structure you are going to build, either residential building or commercial building. Give specific details about the type of the building and its location. Talk about the shape, colors and materials you are going to use. Which situation BEST describes pure COMPETITION?A. A few large airlines work together to set high prices and eliminatenew competitors.B. A large oil company buys all of its competitors and shuts themdown permanently.C. A city government selects one company to provide clean water forits residents.D. A group of vendors compete to sell the same drinks to fans at abaseball game According to the American colonists, a government is only legitimate if it has (3 points) Group of answer choices direct or pure democracy consent of the governed declared independence contracts with citizens help me with this question please, thank you ! P(x) Q(x) = R(x); if P(x)72 AmR(x); if P(x)=x+2 and R(x) = x - 3x - 6x-2, what is Q(x)? If you have 100 apples and you take 30 how many do you have? Even though they are moving into a more demanding situation socially and financially, why does the play end on a hopeful note?Select one:a. Travis is taking on more responsibilities to earn money.b. The family is more connected and determined.c. Buying a home illustrates an investment into the future both in term of family and finance.d. All of the abovee. Both B & C How many liters of a 0.80 Msolution can be made with 2.0 molKNO3?{?} L This textual evidence from "A Case in Antiquities for 'Finders Keepers" by JohnTierney supports which claim?"The timing of Dr. Hawass's current offensive, as my colleague Michael Kmmelmanreported, makes it look like retribution against the Westerners who helped prevent anEgyptian from becoming the leader of Unesco, the United Nation's cultural agency."The United Nations need to define which countries can claim artifacts as their own.Some countries may be misusing the right to have artifacts returned to their country of origin.The issue of which artifacts belong to which country has caused unnecessary violence.Laws need to be rewritten to reflect the issues with determining the country of origin forartifacts. Which are characteristics of memoirs? Choose two answers.telling a nonfiction storydividing the story into framesusing thought bubblesusing first-person perspectiveincluding fictional elements Adding deductive reasoning to traditional database management system (dbms) functions is a benefit of integrating an expert system into the database component of a(n) _____ system Jake went to the store and selected a new truck to give his Mom for her birthday. Jake's older brother explained that their Mom does not like trucks like he does and instructed him to select a piece of jewelry. Jake's older brother is demonstrating: Why did the Vikings stop their exploration/colonization of North America? Which ordered pair makes both inequalities true? y < x + 1y > xOn a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded. (3, 5)(2, 2)(1, 3)(0, 1)