Adi has a dentist appointment at 09:10 am.
He gets to the dentist's surgery at 08:56 am.
How many minutes early is he?

Answers

Answer 1

Answer:

Step-by-step explanation: 14 minutes


Related Questions

Jaycee has already saved $75 for an upcoming vacation. Every week, she adds another $15 to her vacation savings. The relationships between x, the number of weeks from now, and y, the amount Jaycee has in her vacation savings, is a linear relationship.

Write an equation to describe the linear relationship.

Answers

The equation to describe the linear relationship between x, the number of weeks from now, and y, the amount Jaycee has in her vacation savings is y = 75 + 15x

The equation to describe the linear relationship between x, the number of weeks from now, and y, the amount Jaycee has in her vacation savings

Amount Jaycee has saved = $75Additional amount jaycee saved per week = $15Number of weeks Jaycee saved = xThe amount Jaycee has in her vacation savings = y

The equation to describe the linear relationship:

The amount Jaycee has in her vacation savings = Amount Jaycee has saved + Additional amount jaycee saved per week(Number of weeks Jaycee saved)

y = 75 + 15(x)

y = 75 + 15x

For instance, if jaycee has saved for 5 weeks, the

amount Jaycee has in her vacation savings is

y = 75 + 15x

y = 75 + 15(5)

= 75 + 75

y = $150

Therefore, the equation to describe the linear relationship between x, the number of weeks from now, and y, the amount Jaycee has in her vacation savings is y = 75 + 15x

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The table shows the starting and ending elevations of a hiking trail starting point 180 ft below sea level ending point 260 above sea levelhow much greater is the elevation of the ending point than the starting point

Answers

The difference on the change of elevation is 440 feet.

How to illustrate the information?

From the information, it was stated that the hiking trail starting point is 180 ft below sea level and that the ending point is 260 above sea level.

Therefore, the difference in the change will be:

= Ending level - Starting level

= 260 - (-180)

= 260 + 180

= 440 feet

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please help!. i'll give 50 brainly points
Daniel’s parents were planning a big birthday party for him.

His parents spent $2.29 on each of 8 goodie bags. How much did they spend on goodie bags? Show your work.

They spent $160 to rent a bounce house for 8 hours. How much is the hourly rate for the rental? Show your work.

If the parents spent a total of $209.48 on the party, how much more did they spend than what was spent in parts (a) and (b)? Show your work.
show your work on each questions please!

Answers

Answer: A. 18.32

B. 20

C. 31.16

Step-by-step explanation:

2.29 times 8=18.32 dollars spent on goodie bags

160 divided by 8=20 dollars per hour

160+18.32=178.32

1209.48-178.32= 31.16 more than what was spent in parts a and b.

99999999999999999999999999999999999999999999999999999999999999999999999x0

Answers

000000000000000000000000000000000000000000000000000000000000

Answer:

Stop please. You use brainly for answering and asking questions.

$750, annual rate:10 1/2% what is the time to double & the amount after 10 years?

Answers

well, let's start like the crab, from the back, what would the amount be after 10 years, with a 10.5% annual rate, compounding annually of course.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$750\\ r=rate\to 10.5\%\to \frac{10.5}{100}\dotfill &0.105\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases} \\\\\\ A=750\left(1+\frac{0.105}{1}\right)^{1\cdot 10} \implies A=750(1.105)^{10}\implies \boxed{A \approx 2035.56}[/tex]

when will it double?  well, hmmm 750 doubled will be 1500, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\dotfill &\$750\\ r=rate\to 10.5\%\to \frac{10.5}{100}\dotfill &0.105\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years \end{cases}[/tex]

[tex]1500=750\left(1+\frac{0.105}{1}\right)^{1\cdot t} \implies \cfrac{1500}{750}=(1.105)^t\implies 2=1.105^t \\\\\\ \log(2)=\log(1.105^t)\implies \log(2)=t\log(1.105) \\\\\\ \cfrac{\log(2)}{\log(1.105)}=t\implies 6.94\approx t\qquad \textit{about 6 years and 344 days}[/tex]


f(x)=10 x-10 . Find each value.
(f⁻¹ ⁰ f)(0.2)

Answers

An inverse function is one that reverses the action of another function.

The value of this function is y = 0.2.

What is meant by inverse ?

Inverse operations are mathematical manipulations in which one operation reverses the action of the other, such as addition and subtraction, multiplication and division. In most cases, the inverse of a number is its reciprocal, i.e. [tex]x ^{- 1[/tex] = 1 / x. A number and its inverse (reciprocal) product equals one.

An inverse function is one that reverses the action of another function. A function g is the inverse of a function f if and only if y = f(x) and x = g. In other words, using f and then g is equivalent to doing nothing.

Let the given function be f(x) = 10x - 10

substitute the value of x = 0.2, then we get

f(0.2) = 10(0.2) - 10

simplifying the above equation be

f(0.2) = -8

y = 1/10(-8) +1

y = 0.2

Therefore, the value of y = 0.2.

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The area of a rectangle with a length 2 feet less than 3 times its width.
Write a function rule for the area.
What is the area of the rectangle when its width is 2 feet?

Answers

The area of the given rectangle is 6ft².

What is a rectangle?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can also be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.

So, length 2 feet less than 3 times its width:

When the width is 2ft.

Then function: L = 3w - 2

L = 3w - 2L = 3(2) - 2L = 6 - 2L = 4 ft

Now, the area of the rectangle: l × w

l × w4 × 26ft²

Therefore, the area of the given rectangle is 6ft².

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What is the simplified value of (1/64)⁻¹/₆ ?

Answers

Express 64 as a product of its prime factors. The indices rule states

a^-n= 1/a^n. Apply the power rule (a^m)^-n= a^(-mn).

64 = 2x2x2x2x2x2 = 2^6

(1/2^6) = 2^-6

2^(-6x-1/6) = 2^(6x1/6) = 2^1

2^1 = 2

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Solve each inequality using a table.
(Hint: For more accurate results, set ΔTbl=0.001 . )
3 log x+log (x+2)>1

Answers

After solving the given inequality the answer is 3logx+log₁₀(x+2)>1.

What exactly do we mean by inequality?In mathematics, an inequality is a relationship that involves a non-equal comparison of two numbers or other mathematical expressions.It is most commonly used to compare two numbers' sizes on a number line.

So,

Given: 3log x + log(x+2) > 1

3log x + log(x+2) > 1 ⇒ 3logx+log₁₀(x+2)>1

Therefore, after solving the given inequality the answer is 3logx+log₁₀(x+2)>1.

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I need help solving this problem
((5-3)(2))÷2x2

Answers

the answer should be 1 (one)

Answer:

1

Step-by-step explanation:

because (5-3)=2  (2) means multiply the two 2's then divided by (2x2)  so, (2x2)/(2x2) would be 4/4 = 1

What is the area of the parallelogram shown above?
Hint : The area of a parallelogram is
A = b x h.
Area = [?]ft^2

Answers

Answer: 299^2 ft

Step-by-step explanation: Literally all you have to do is Base X Hight and you get the answer. The base is basically just the length.

Hope this helps!

Choose the answer that represents the product below as a exponential
expression.
(-8) (-8) (-8) (-8) (-8) (-8) (-8)
OA. (-8)5
OB. (-8)-8
C. 7. (-8)

Answers

Answer:

[tex](-8)^7[/tex]

Step-by-step explanation:

You are multiplying (-8) 7 times. Therefore, it can be simplified down to [tex](-8)^7[/tex].

Which statement is true of this function?
ƒ(x) = (²) — 2
O A. As the value of x increases, the value
B. The domain of the function is (-2, 00).
OC. The function has a y-intercept at (0,-2).
OD. The function is increasing.

Answers

The statement "As the value of x increases, the value of f(x) moves toward a constant." is true. Option  A

What is the function?

A relation between a collection of inputs and one output for each of those inputs is the definition of a function.

The given function is;

F(x)=(1/5)^x-2

The statement that is true of this function is as follows;

As the value of x increases, the value of f(x) moves toward a constant.

The domain of the function is (-∞, ∞).The function has a y-intercept at (0,-1).The function is decreasing.

Therefore, the assertion that is true about this function is that when the value of x rises, the value of f(x) advances toward a constant. This is because of the way that the function works.

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CQ

Select the correct answer. Which statement is true of this function?

f(x)=(1/5)^x-2

A.

As the value of x increases, the value of f(x) moves toward a constant.

B.

The domain of the function is (-2, ∞).

C.

The function has a y-intercept at (0,-2).

D.

The function is increasing.

Solve the equation V^3=36

Answers

Answer:

V= [tex]\sqrt[3]{36}[/tex]

Alternative Form

V≈3.301927

Evaluate

V

3

=36

Take the 3-th root on both sides of the equation

3

 

V

3

=

3

 

36

hope this helps now

Answer:

[tex]\mathrm{V=\sqrt[3]{36}}[/tex]

Step-by-step explanation:

Determine if 36 is a cube root

(a-b)•(a^2+ab+b^2) =

           a^3+a^2b+ab^2-ba^2-b^2a-b^3 =

           a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =

           a^3+0+0-b^3 =

           a^3-b^3

→ Using this checker, we can see that 36 is not a cube root because it cannot be factored as the difference between two perfect cubes.

Solve

v^3 - 36 = 0

v^3 = 36

v = ∛36

The telephone company offers two billing plans for local calls. Plan 1 charges ​$33 per month for unlimited calls and Plan 2 charges ​$16 per month plus ​$0.05 per call.


A use an inequality to find the number of monthly calls for which Plan 1 is more economical than plan 2

B. Explain the meaning of the answer to part A

Answers

Answer:

Part A

Plan 1

33

Plan 2

0.05x+16

0.05x+16=33

0.05x=17

17/0.05=340

341 calls would be enough.

Part B

AN easy way of doing this is by setting the equations equal to each other and then adding a variable to one side that would be the amount of calls made on plan B. Once you get rid of the initial price of 16 dollars, then you have 17 dollars to be set equal to plan B. You divide 17 by 0.05, which gives you 340, meaning that to make both plans equal to each other, you would have to make 340 calls. To make Plan 1 more economical, you would have to add 1 more call to set plan 2 0.05 cents more than Plan 2.

Step-by-step explanation:

Use the equation y = -1/2х-3 for questions 1 and 2.
1. What is the form of this linear equation?
2.rewrite this equation in standard form.

Answers

1. The given equation is in the slope intercept form.

2. The standard form is x ₊ 2y = ₋6

3. The given equation is in the point slope form.

4. The standard form is 2x ₋ 3y = ₋3

Given,

the equation is y = ₋1/2x ₋ 3

the above equation is in the form of slope intercept form i.e,

y = mx ₊ c

to convert it into standard form i.e, ax ₊ by = c

therefore, 2y = ₋x ₋ 6

x ₊ 2y = ₋6

2. the equation is y ₋ 7 = 2/3 (x ₋ 9)

the above equation is in the form of point slope form.

i.e, y ₋ y₁ = m(x ₋ x₁)

therefore, to convert it into standard form i.e, ax ₊ by =c

y ₋ 7 = 2/3 (x ₋ 9)

3(y ₋ 7) = 2(x ₋ 9)

3y ₋ 21 = 2x ₋ 18

3y ₋ 2x = ₋18 ₊ 21

₋ 2x ₊ 3y = 3

2x ₋ 3y = ₋3

hence  we get the required results.

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PLEASE HELP!! 20 points

Answers

The order of transformation which best describes how to sketch the graph of h(x) = ∛1 - x is: A. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the left one​ unit, and then reflect the graph about the​ y-axis.

The types of transformation.

Generally, there are different types of transformation and these include the following:

RotationTranslationDilationReflection

What is a reflection?

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In this context, we can reasonably infer and logically deduce that the order of transformation which best describes how to sketch the graph of h(x) = ∛1 - x is to start by plotting the graph of the basic function y = ∛x, and then horizontally shift the graph of function y = ∛x to the left one​ unit, and then reflect the graph about the​ y-axis.

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Complete Question:

Which of the following order of transformations best describes how to sketch the graph of h(x) = ∛1 - x?

A. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the left one​ unit, and then reflect the graph about the​ y-axis.

B. Starting with the graph of the basic function y = ∛x, vertically shift the graph up one​ unit, and then reflect the graph about the​ y-axis.

C. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the left one​ unit, and then reflect the graph about the​ x-axis.

D. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the right one​ unit, and then reflect the graph about the​ y-axis.

3.18 + 2m = 12.7 how do you do this?

Answers

Hello, here is the solution:

Answer:

Step-by-step explanation:

If you're solving for m:

3.18 + 2m = 12.7

-3.18            -3.18

Therefore making the new equation: 2m = 9.52

Divide- [tex]\frac{2m}{2\\} =\frac{9.52}{2}[/tex]

m = 4.76

Find the value of a^2+b when a=-2 and b=5

Answers

Answer:

answer is 9

Step-by-step explanation:

a*a+b.

-2*-2+5.

4+5=9

If KL = 8x - 5 and LM = 6x + 3, what is KL?​

Answers

KL = LM                         To find the measures of KL

8x-5 = 6x+3                

-6x      -6x                               8(4) - 5

___    ___                                32 - 5

2x - 5 = 3                                   27

   +5    +5

   __    __                        To find the measure of LM

                                                 

2x = 8                                        6(4) + 3

---   ---                                         24 + 3

x = 4                                               27

Decide whether each claim is based on science or bias.

Claim
Basis of claim
People bred domestic cats from wildcats. They selected cats with desired traits as the parents for each generation. Evidence shows that humans developed many domestic animals and plants in much the same way.
Select ...
Select ...
An ad for a new type of tire describes it as "the best tire ever made." The ad shows pictures of the tire and compares it with an older type of tire. Under the pictures is a caption that states, "Look how much wider our new tire is."

Answers

The situations are classified as follows:

Cats... evidence ... : science.Tyre: bias.

What is science in a claim?

A claim is classified as science if there are experiments, or statistical tests, that prove the claim. In the cats experiment, there is evidence, hence it is science.

What is bias in a claim?

A claim is classified as biased when no experiments are made, the observations are made with the "eye test". One example is watching a NFL game and saying that the team that gets the most passing yards generally wins, without making statistical tests to verify this.

For this problem, the ad for the tire is based on bias, as there were no experiments, just the eye test.

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We can go to the amusement park or the library. the amusement park is too expensive, so we must go to the library.

Answers

Based on the logical fallacy given by saying that they can either go to the amusement park or the library, the category is False dilemma.

What is a false dilemma?

A False dilemma is a logical fallacy where the speaker makes it seem as though there are no other options to be considered. The possibility of there being other options is therefore ignored.

In the above thought, the speaker says that they can either go to the amusement part or to the library. They then pick the library because the amusement park is too expensive.

This is a logical fallacy because there were other places they could have gone to that were not even considered.

In conclusion, the statement above that presents only two choices of places to go which were the library or the amusement park is an example of a false dilemma.

Rest of the question:

Identify the logical fallacy in the given statement.

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Expand:-
100x+10y+z


Please tell the answer and process too.​

Answers

Answer:

−100x +10y+z

Step-by-step explanation:

I use the Expand Using Sum/Difference Formulas. When I plug in -100x + 10y +z it gives out the same thing.


The function g(x) shown in the table below is a linear function. Find its slope, y-intercept, and formula in
slope-intercept form.

Answers

Answer:

see explanation

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 9, 31) and (x₂, y₂ ) = (15, - 41) ← 2 ordered pairs from the table

m = [tex]\frac{-41-31}{15-(-9)}[/tex] = [tex]\frac{-72}{15+9}[/tex] = [tex]\frac{-72}{24}[/tex] = - 3

the y- intercept is the value of g(x) when x = 0 , then from the table

y- intercept = 4

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then equation is

y = - 3x + 4


The number of buckets of paint n needed to paint a fence varies directly with the total area a of the fence and inversely with the amount of paint p in a bucket. It takes three 1 -gallon buckets of paint to paint 72 square feet of fence. How many 1-gallon buckets will be needed to paint 90 square feet of fence?

Answers

Approximately 1 gallon of 4 buckets will be needed to paint 90ft²of fences.

Formula used: N = kA / p

Given information:

N = 3 (buckets)k = constantA = area that is72p = components of a bucket (1 gallon in this case)

So,

Determine k.

This is something you must work out with the units when solving for k.

3 buckets = k × 72 ft^2/1 gallon3 buckets × 1 gallon = k × 72 ft²3 bucket gallons / 72 ft² = k k = 1/24 bucket gallons / ft² = k

Then, we get:

k = 0.04166666666 × bucket gallons / ft²  = k

Now, solve for 90 ft² as follows:

n = k × Area / pp = 1k = 0.04166666Area = 90

So,

n = 0.041666666 × 90 / 1n = 3.75 buckets

After rounding off, the answer will be 4 buckets of 1-gallon.

Therefore, approximately 1 gallon of 4 buckets will be needed to paint 90ft²of fences.

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Please help me with this assignment! Grade 8th math

Answers

We need to know about translation, reflection and rotation to solve the problem. (1) We translate a triangle with respect to a horizontal and vertical direction. (2) We rotate a traingle about a given angle. (3) We refelct a triangle about a line of reflection which can be axis or vector.

(1) Translation of a triangle means changing it's position without changing the shape or size of the triangle. We translate a triangle with respect to a horizontal and vertical direction. We get the new triangle by adding the horizontal translation value to the x-coordinate and the vertical translation value to the y-coordinate.

(2) Rotation of a triangle is turning the triangle by an angle around a center point. When a triangle is rotated by 90° clockwise then (x,y) becomes (y,-x), when rotated by 90° anticlockwise (x,y) becomes (-y,x), when rotated by 180° clockwise or anticlockwise (x,y) becomes (-x,-y).

(3)Reflection of a triangle is finding a mirror like image of the triangle about  a line of reflection. The line of reflection may be either of the axes, a vector. To find the image we have to find the coordinates of the triangle that are of same distance from the line of reflection on the opposite side like they are from the original triangle.

Therefore we learnt about translation, reflection and rotation and saw that (1) Translation needs a horizontal and vertical direction for translating, (2) Rotation needs an angle of rotation and a center point and (3) Reflection needs a line of reflection.

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What is the value of each logarithm?

c. log₆₄1/32

Answers

The value of given logarithm log₂⁶(1/32) is -5/6

The properties of log square measure wont to expand one log into multiple logs (or) compress multiple logarithms into one logarithm.A log is simply in a different way of writing exponents. Thus, the properties of logarithms square measure derived from the properties of exponents.There square measure four necessary index properties that square measure listed below:logₐ mn = logₐ m + logₐ n (product property)logₐ m/n = logₐ m - logₐ n (quotient property)logₐ mn = n logₐ m (power property)

We have given a logarithm log₂⁶(1/32) .

Using base change property which is given by

 [tex]log_b^na^m=\frac{m}{n} log_ba[/tex]

The given logarithm becomes -

log₂⁶(1/32) = 1/6 log₂(1/32)

Using quotient property which is given by

logₐ m/n = logₐ m - logₐ n

The given logarithm becomes -

1/6 log₂(1/32) = 1/6 [ log₂1 - log₂32]

                      =  1/6 [ 0 - 5 ]

                      = -5/6

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what is -3 to the -3 power

Answers

Answer:

-0.03

Step-by-step explanation:

[tex]3^{-3}=\frac{1}{3^3}\\=-\frac{1}{3^3}\\3^3=27\\=-\frac{1}{27}\\= -0.03[/tex]

-0.03 hope this helps!!!

11. How many dots are in the nth term of the following sequence? term: 3,5,7,9 n+2 n²+2 2n+1 n+3​

Answers

The nth term of the sequence is 2n + 1

The formula known as the nth term allows us to locate any term in a series. The letter n stands for number. By changing the term number's value, we can create a series that uses the nth term (n).

The sequence 3,5,7,9.....

n =1

3 = 1 + 2

3 = 1 + (2×1)

n = 2

5 = 1 + 4

5 = 1 + (2×2)

n = 3

7 = 1 + 6

5 = 1 + (2×3)

n = 4

9 = 1 + 8

9 = 1 + (2×4)

9 = 1 + 8

Therefore, the expression for the Nth is 1+ 2n or 2n + 1

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Solve each equation. 2log x=-4

Answers

The value of x for the given logarithmic equation 2㏒x = -4 is x = 0.01.

What is logarithmic equation?

A logarithmic equation contains the log of a variable-containing representation. To begin dealing with exponential equations, check to see if both sides of a equation can be described as powers of a exact number.

The ㏒x function has the following properties:

Product Rule : ㏒A + ㏒B = ㏒(AB)Quotient Rule: ㏒(A/B) = ㏒A - ㏒BPower Rule: n㏒A = ㏒Aⁿ

Now, as per the given question;

The given equation is  2㏒x = -4.

Divide both side by 2.

㏒x = -2

Again, rewrite this function ㏒x = -2 in the exponential form by implementing  properties of ㏒.

Let x and a be the positive real numbers such that a ≠ 1, then,

㏒ₐx = y is equivalent to [tex]a^{y}[/tex] = x.

Then,

10⁻² = x

Now, solve the value of x.

x = 1/100

x = 0.01 in the decimal form.

Therefore, the obtained value of the logarithmic function 2㏒x = -4 is x = 0.01.

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Write the equation of a line parallel to the line: y = x + 3 that goes through the point (-2, 6) What is 6.4% plus 39.3% ? Predict what happens to cell membrane composition in the brain of a wolf living in yellowstone national park with hot summers and cool winters. why is the protestant reformation important to america In your history notebook, write down what kinds of activities you would plan if you were responsible for helping plan a Freedom Week celebration. What kinds of activities would help other people learn about and appreciate the founding documents of our country? Explain why and how these activities would be good. You can do a little internet research if that helps stimulate ideas. I need help please.. what is -9/10 x - 2/3 the following data represents the price(R) of 50 items purchaced by a shopper. price(R) 0.00 URGENT!!! Lots of points and Brainliest!How do you make an in-text citation for a poem that has no author but has a translator in MLA format? esperan el estudeiantes atobus los ? Wrote correctly please help!!! I need this urgently I will mark you brainliest!! Write a essay of 100 words, topic: are love poems still relevant in modern society? Do they reflect reality ( love songs can be included Blaxicans. Why does it tend to take American citizens several decades to romanticize the immigrant (line 13)? Cite evidence from the argument to support your answer. How is modeling useful to scientists? A. It predicts which hypothesis is correct. B. It represents data collected from an experiment. C. It illustrates possible outcomes of an experiment. D. It creates a representation of something difficult to see. Create a scenario where a person is making a life change and describe SMART goals for two stages of change. How were Muslims affected following the attacks What relationship existed between trade routes and the spread of Islam between 900 CE and 1700 CE?Most sea routes did not connect with Islamic territories by 1700 CE.Most trade routes existed within or around Islamic territories by 1700 CE.While overland routes helped spread Islam between 900 E and 1700 CE, sea routes did not.O While sea routes helped spread Islam between 900 CE and 1700 CE, overland routes did not. Choose the best INFERENCE below."Media" refers to various means of mass communication. Media affects our lives by exposing us to new experiences.A:Newspapers are the only true media form.B:Television is an ineffective form of communication.C:No one listens to the radio anymore.D:Television is a very effective media form.E:World problems are caused by the media. An affective disorder characterized by a dysphoric mood, usually depression, or loss of interest or pleasure in almost all usual activities or pastimes is:_________ Factorize d squared - d + 12Pls help quick A biochemical engineer isolates a bacterial gene fragment and dissolves a 12.0mg sample in enough water to make 30.0 mL of solution. The osmotic pressure of the solution is 0.340 torr at 25C. (a) What is the molar mass of the gene fragment? g/mol (b) If the solution density is 0.997 g/mL, how large is the freezing point depression for this solution (Kf of water = 1.86C/m)?