what is a compressed graph

Answers

Answer 1

Answer: A transformation in which all distances on the coordinate plane are shortened by multiplying either all x-coordinates (horizontal compression) or all y-coordinates (vertical compression) of a graph by a common factor less than 1.

Step-by-step explanation:


Related Questions

pleaseeee help lol, will mark brainliest

Answers

Transforming the function f(x) = 2x by compression of a factor of 1/4 gives g(x) = 1/2x

Transformation of a Function

Transformation of functions means that the curve representing the graph either "moves to left/right/up/down" or "it expands or compresses" or "it reflects". For example, the graph of the function f(x) = x2 + 3 is obtained by just moving the graph of g(x) = x2 by 3 units up. Function transformations are very helpful in graphing the functions just by moving/expanding/compressing/reflecting the curve without actually needing to graph it from scratch.

In the given function;

f(x)= 2x;

After a compression by a factor of 1/4, the function becomes

g(x) = 2x * 1/4 = 1/2x

The compressed function g(x) is 1/2x

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find the slope of the line passing through the points (-6,2) and (-7, 7).

Answers

Answer:

y-2=7(x+6)

Step-by-step explanation:

You got it there bro

Given f(x)=2x-2, find f(-3)

PLEASE HELP!!!!

Answers

Answer:4

Step-by-step explanation:

replace x with -3

f(x) = 2x-2

find f(-3)

f(-3) = 2(-3) - 2

f(-3) = -6 -2

f(-3) = -8

HELPPPPPPPP! please!
Select all the statements that are true for any value of x.
A. 7x + (2x + 7) = 9x + 7
B. 7x + (2x - 1) = 9x + 1
C. 1/2x + (3 - 1/2x) = 3
D. 5x – (8 - 6x) = -x - 8
E. 0.4x - (0.2x + 8) = 0.2x - 8
F. 6x - (2x - 4) = 4x + 4

Answers

The statements that are true for any value of x are

A. 7x + (2x + 7) = 9x + 7C. 1/2x + (3 - 1/2x) = 3E. 0.4x - (0.2x + 8) = 0.2x - 8F. 6x - (2x - 4) = 4x + 4

How to determine the true statements?

The equations are given as

A. 7x + (2x + 7) = 9x + 7

B. 7x + (2x - 1) = 9x + 1

C. 1/2x + (3 - 1/2x) = 3

D. 5x – (8 - 6x) = -x - 8

E. 0.4x - (0.2x + 8) = 0.2x - 8

F. 6x - (2x - 4) = 4x + 4

Next, we solve one side of the equations and then compare them with the other side

So, we have the following representations

A. 7x + (2x + 7) = 9x + 7

Evaluate

9x + 7 = 9x + 7 --- true

B. 7x + (2x - 1) = 9x + 1

Evaluate

9x - 1 = 9x + 1 --- false

C. 1/2x + (3 - 1/2x) = 3

Evaluate

3 = 3 --- true

D. 5x – (8 - 6x) = -x - 8

Evaluate

11x - 8 = -x - 8 --- false

E. 0.4x - (0.2x + 8) = 0.2x - 8

Evaluate

0.2x - 8 = 0.2x - 8 --- true

F. 6x - (2x - 4) = 4x + 4

Evaluate

4x + 4 = 4x + 4 -- true

Hence, the true statements are (a), (c), (e) and (f)

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The number of men and women receiving​ bachelor's degrees each year has been steadily increasing. For the years 1970 through the projection of​ 2014, the number of men receiving degrees​ (in thousands) is given by the equation y=3.9x+441 ​, and for​ women, the equation is ​y=14.3x+312, where x is the number of years after 1970

Answers

The point (12,489) will be the solution of our given equations.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

number of men given by y=3.9x+441 ​,

and for​ women equation is ​y=14.3x+312,

Now, Let us find the coordinates of the point of intersection of both lines by equating our both equations as:

3.9x+ 441 = 14.3x + 312

14.3x - 3.9x = 441 - 312

10.4x= 129

x= 129/10.4

x = 12.40

and, y= 3.9(12.4)+ 441

y= 489.36

Hence, the point (12,489) will be the solution of our given equations.

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help me pleaseee pleaseee pleaseee for a lot of points

Answers

Answer:

53 5/7

Step-by-step explanation:

2 + 5/21 = (42 +5)/21 = 47/21

47/21 : 1/12 = x : 2

x = 2 * 47/21 / 1/12

x = 2 * 47/21 * 12

x = 2 * 47/7 * 4

x = 8 * 47/7

x = 376/7

x = 371/7 + 5/7

x = 53 5/7


An important formula from chemistry is PV = nRT. Solve the formula for n.

Answers

The solution for n in the chemistry formula is n = PV/RT

How to solve for n in the chemistry formula?

From the question, we have the following parameters that can be used in our computation:

Important formula from chemistry is PV = nRT

Write out the formula

So, we have the following representation

PV = nRT

Divide both sides of the equation by R

So, we have the following representation

PV/R = nT

Divide both sides of the equation by T

So, we have the following representation

PV/RT = n

Rewrite the equation as

n = PV/RT

Hence, the solution is n = PV/RT

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Can't do this write this number in standard forms 3,000 + 1,600 + 8/10 + 3 ones what how would you solve this problem

Answers

we get the desired result after solving as 4603.8 .

What is the rule of BODMAS?

In mathematics, the BODMAS rule is a rule or order that is used to condense arithmetic expressions with several operators. When an equation has multiple operators, we must first determine the correct order in which to solve the expression. The BODMAS rule is always  used to resolve the issue of using algebraic symbols.

For this type of problem,

We generally use BODMAS

Here,

B= Bracket

O= Off

D= Divide

M= Multiply

A= Addition

S= Subtraction

Given expression,

3,000 + 1,600 + 8/10 + 3

By following above steps we get,

First we going to divide,

3,000 + 1,600 + 0.8 + 3

Then we move to addition,

4603.8

Hence we get the desired result as 4603.8

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Equation with one solution 8x-3x+2-x=

Answers

[tex]\fbox{4x+2}[/tex]

Simplify:

[tex]8x-3x+2[/tex]

[tex]8x+-3x+2+-x[/tex]

Combine Like Terms:

[tex](8x+-3x+-x)+(2)[/tex]

[tex]4x+2[/tex]

Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options. 18 x minus 15 = 72 50 x minus 25 = 72 18 x minus 9 = 72 3 (6 x minus 3) = 72 x = 4.5

Answers

Answer:

[tex]18x-9=18x-9\\\\3(6x-3)=18x-9\\\\x=4.5[/tex]

Step-by-step explanation:

Each equation is =72. So for the first 4 options, just find equivalent expressions for the left side:

[tex]\frac{3}{5}(30x-15)=18x-9\\\\18x-15\neq 18x-9\\\\50x-25\neq 18x-9\\\\18x-9=18x-9\\\\3(6x-3)=18x-9[/tex]

For x=4.5, must solve original equation:

18x-9 = 72

18x = 81

x = 4.5

Determine the intercepts of the line. Do not round your answers. -6x+3y=-7−6x+3y=−7minus, 6, x, plus, 3, y, equals, minus, 7 xxx-intercept: \Big((left parenthesis ,,comma \Big))right parenthesis yyy-intercept: \Big((left parenthesis ,,comma \Big))

Answers

Answer:

is there a photo because this dosent help

Step-by-step explanation:

find the slope-intercept equation of the line that passes through (3,-1) and has a slope of -1

Answers

Answer:

y= -x+2

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

at the point (3,-1), it is known that x=3 and y= -1.

[y-(-1)]/(x-3)= -1 (y+1)/(x-3)= -1 (y+1)= -1(x-3) y+1= -x+3 y= -x+2


The amount of carbon 14 present in a paint after t years is given by A(t)=Ae-0.000121. The paint contains 25% of its
carbon 14. Estimate the age of the paint.

Answers

The age of the paint is 14,290.0 years old

What is the rule of half-life?

For any particular drug, understanding the concept of half-life is helpful in calculating steady-state concentrations and excretion rates. Although different drugs have different half-lives, they all adhere to the same principle: 50% of the initial drug dose is eliminated from the body after one half-life.

What is the half-life of carbon 14?

Since radiocarbon (14C) has a half-life of 5700 30 years, it is especially helpful for dating in archaeology. However, the so-called Gamow-Teller ß-decay, an exceptional hindrance to the beta decay from 14C to 14N, is what causes this half-life to be so long.

According to the given question :-

0.18 = e^(-0.00012t)

ln(0.18) = -0.00012t

t = - ln(0.18) / 0.00012 ≈ 14289.98690076605833 ≈ 14,290.0 years old

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What are the advantages and disadvantages of bases other than ten

Answers

The advantages and disadvantages of bases other than ten are shown below.

What is base ten?

The base-10 system is a way to give numbers a place value. As the position of the decimal point determines a number's mathematical value, it is often referred to as the place value number system or the decimal system.

In software systems, number systems with a base of 16 are frequently used. They have the fundamental benefit of being quickly convertible to binary systems.

The advantage of using number bases on 60 is that 60 may be divided by 2, 3, 4, and 6.  Its downside is that it is cumbersome.

Number systems based on 12 provide advantages comparable to those of number systems based on 60, but they give up the advantage of being divisible by 5 for the benefit of a less cumbersome system.

Therefore, base-10 number systems are not the best.

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19. MODELING In Example 6, 44% of the voters say they plan to reelect the mayor. The poll has a margin of error of ±3% percentage points. Use a model to write and solve an absolute value inequality to find the least and greatest percents of voters who plan to reelect the mayor.

Answers

The absolute value inequality to find the percentages is given as follows:

|P - 44| ≤ 3.

Then the percentages are given as follows:

Least: 41%.Greatest: 47%.

What is the absolute value inequality?

The estimate of the percentage is of:

44%.

The margin of error is of:

±3%.

Both the estimate and the margin of error are taken from the problem.

This means that the absolute difference between the percentage P and the estimate of 44% is of at most the margin of error of 3%, hence the inequality is given as follows:

|P - 44| ≤ 3.

The absolute difference means that the difference can be either positive or negative.

Then the lowest percentage is obtained when:

P - 44 = -3

P = -3 + 44

P = 41.

The highest percentage is obtained when:

P - 44 = 3

P = 3 + 44

P = 47.

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A video streaming company offers two monthly plans. Plan A charges $3 per video viewed plus a flat rate of $8 per month. Plant B charges $5 per video viewed and no additional flat rate.

A write and solve an inequality to determine when the cost of viewing n videos using plan A is less that the cost of viewing n video using plan B _________________

Plan A is less expensive when ____________________

Answers

The inequality is 8 + 3 n < 5 n. Plane A is less expensive when n > 4

What is inequality ?

Inequality of wealth in major cities Economic inequality comes in many forms, but two stand out above the rest: wealth inequality as measured by the distribution of wealth and income inequality as measured by the distribution of income.

The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse. However, some distinctions are universal.

Plan A: flat rate $8 per month and $3 per video viewed

Plan B: $5 per video viewed

The number of viewing videos is n

∵ The number of viewing videos is n

→ Plan A

∵ The cost per viewing is $3

∵ Cost per month is $8

∴ The cost = 8 + 3 n

→ Plan B

∵ The cost per viewing is $5

∴ The cost = 5 n

We need the cost of viewing n videos using  Plan A is less than the

cost of viewing n videos using Plan B

→ Cost Plan A < Cost Plan B

∵ Cost Plan A is 8 + 3 n

∵ Cost Plan B is 5 n

∴ 8 + 3 n < 5 n

* The inequality is 8 + 3 n < 5 n

∵ 8 + 3 n < 5 n

Subtract 3 n from both sides

∴ 8 < 2 n

Divide both sides by 2

∴ 4 < n

∴ n > 4

* Plane A is less expensive when n > 4

The inequality is 8 + 3 n < 5 n. Plane A is less expensive when n > 4

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Decide whether the rates are equivalent 17 heartbeats in 15 seconds

Answers

Well start off by simplifying each rate:
17/15 --> can't be further simplified
68/60 = 34/30 = 17/15
So then, yes these rates are equivalent.
Also, you can divide 17/15 and 68/60 and compare the quotients.

Aiden runs a farm stand that sells apples and strawberries. Each pound of apples sells
for $2 and each pound of strawberries sells for $3. Aiden made $80 from selling a
total of 35 pounds of apples and strawberries. Write a system of equations that could
be used to determine the number of pounds of apples sold and the number of pounds
of strawberries sold. Define the variables that you use to write the system.

Answers

Answer:

Step-by-step explanation:

Zoe rode her motorcycle down a straight freeway at 80kilometersperhour for a total of 4hours. There was a car behind her for one-half of that time. How far did Zoe ride while the car was behind her?
Write your answer as a whole number.

Answers

The distance that Zoe rode while the car was behind her was of:

160 kilometers.

How to obtain the distance?

The relation between velocity, distance and time is that the velocity is the distance divided by time, hence the equation is presented as follows:

v = d/t.

The values of the parameters in this problem are given as follows:

Velocity of v = 80 km/h.Time of t = 4 h.

(both of these measures are taken from the first sentence of the problem).

Then the total distance is obtained replacing the values into the equation as follows:

80 = d/4

d = 80 x 4

d = 320 kilometers.

The car was behind her for half the trip, hence the distance that the car spent behind her was of:

d = 0.5 x 320 = 160 kilometers.

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pls answerrrr correctly

Answers

The rate of change from the hour 4 to hour 7 is equal to the slope of 0 miles per hour.

How to determine the rate of change of a segment of a graph

The rate of change of a segment of a graph is represented by its slope, the slope that can be determined by the secant line formula:

m = Δd / Δt

Where:

Δd - Change in distance, in miles.Δt - Time, in hours.

First, determine the coordinates of the initial and final points of the graph:

(t₁, d₁) = (4, 120), (t₂, d₂) = (7, 120)

Second, find the rate of change of the segment:

m = (120 - 120) / (7 - 4)

m = 0 mi / h

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Find two positive numbers whose difference is 23
23
and whose product is 3408
3408

Answers

The two positive numbers are 71 and 48

How to calculate for the two positive numbers

We shall apply algebra in finding the unknown numbers as follows;

Let us represent the two numbers with the letters x and y

so that;

x - y = 23...(1)

xy = 3408...(2)

from equation (1),

x = 23 + y {adding y to both sides}

putting the value 23 + y for x in equation (2) we get;

(23 + y)y = 3408 {by expansion}

23y + y² = 3408

y² + 23y - 3408 = 0 {we rearrange to get a quadratic equation}

we factorize as follows;

y² + 48y - 71y - 3408 = 0

y(y + 48) - 71(y + 48) = 0

(y + 48)(y - 71) = 0

so by factorization; y = -48 or y = 71

the numbers are positive hence we take y = 71

putting the value 71 for y in equation (2) we get;

x71 = 3408 {divide through by 71}

x = 3408/71

x = 48

Thus; 71 - 48 = 23 and 71 × 48 = 3408, and we can say that the two positive numbers are 71 and 23.

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The scatter plot shows the daily oil production in
the United States in the years since 1994. The
equation y=-168x+6,750 is the trend line for the
data. According to the equation of the trend line,
how many thousands of barrels of oil will be
produced daily in the United States 6 years from
1994?
168
5.406
5.742
(3 Points)
6.750
5700
$100
$100
0
5/00

Answers

Answer:

Step-by-step explanation:

168 represents the thousands of barrels of oil will be produced daily in the United States 6 years from 1994

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

The scatter plot shows the daily oil production in the United States in the years since 1994.

The equation y=-168x+6,750 is the trend line for the data.

According to the equation of the trend line, we need to find how many thousands of barrels of oil will be produced daily in the United States 6 years from 1994

In the equation y=-168x+6,750

The 168 represents the thousands of barrels of oil will be produced daily in the United States 6 years from 1994

Hence, 168 represents the thousands of barrels of oil will be produced daily in the United States 6 years from 1994

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You are visiting Mexico and need to convert your U.S. dollar to the Mexican Peso. How many Mexican Peso will you have from $350?

Conversion Ratio:

$1 = Mex$20.16

Answers

Answer:

Mex$7,056

Step-by-step explanation:

$1 = Mex$20.16

$350 = x

cross multiply

$350 * Mex$20.60 = Mex$7,056

Answer: Mex$7056

Step-by-step explanation:

Make the proportion:

$1         -      Mex$20.16

$350    -          x

[tex]\displaystyle\\x=\frac{ 350(20.16)}{1} \\\\x=350(20.16)\\\\[/tex]

x=Mex$7056

Question
What is the value of x?



Enter your answer in the box.

x =

Answers

The value of x is 4/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangles be ΔRST and ΔQRT

Now , from the figure

∠S = 90° in the triangle ΔRST

And RS = 2/√3

∠T = 60° in the triangle ΔRST

Now ,

sin 60° = opposite / hypotenuse

           = RS / RT

           = ( 2/√3 ) / RT

We know , sin 60° = √3 / 2

Substituting the value of  sin 60° in the equation , we get

√3 / 2 = ( 2 / √3 ) / RT

Multiply by RT on both sides , we get

RT x ( √3 / 2  ) =  ( 2 / √3 )

Divide by ( √3 / 2  ) on both sides , we get

RT = ( 2 / √3 ) x ( 2 / √3 )

RT = 4 / 3

Therefore , the value of RT = 4/3

Now , from the figure

∠R = 90° in the triangle ΔQRT

and ∠T = 45° in the triangle ΔQRT

So ,

tan 45° = opposite / adjacent

We know tan 45° = 1

Substituting the value for tan 45° = 1 in the equation , we get

1 = opposite / adjacent

1 = x / RT

Multiply by RT on both sides , we get

x = RT

So , x = 4/3

Hence , The value of x is 4/3

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Answer:

x = 3

Step-by-step explanation:

we are here given a figure in which we have to calculate the value of x . The given figure is made up of two right angled triangles , ∆RST and ∆QRT . So , firstly in ∆RST, we have ,

sinθ = p/h = RT/RS

sinθ = RT/2√3

and here θ = 60° , so that,

sin60° = RT/2√3

√3/2 = RT/2√3

RT = 2√3 * √3/2

RT = 3 . . . . . . . (1)

again in ∆RTQ , we have;

tanθ = p/b = RQ/RT

tanθ = x/3 ( from equation 1 )

and here , θ = 45° , so that ;

tan45° = x/3

1 = x/3

x = 3

and we are done!

What is the second term in the binomial expansion of (2r – 3s)12?
–73,728r11s
73,728r11s
608,256r10s2
–608,256r10s2

Answers

The second term in the binomial expansion of (2r - 3s)¹² is -73728 r¹¹ s option (A) is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

(2r - 3s)¹²

Using nth term of the binomial expansion is:

= C (12, 2-1) (2r)¹²⁻²⁺¹ (-3s)²⁻¹

After solving

= -73728 r¹¹ s

Thus, the second term in the binomial expansion of (2r - 3s)¹² is -73728 r¹¹ s option (A) is correct.

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Katie wants to buy a sundress priced at $40.00. If the sales tax is 6%, what is the total amount she must pay for the sundress?
Responses

Answers

Answer:

It should be 42.4

30 Points! Tell me everything you know about congruent polygons. How can we prove that triangles are congruent?

Answers

The polygons that are congruent are those whose vertices and sides line up perfectly. The 4 triangle congruence theorems that help in finding if the triangles are congruent or not are SSS, SAS, ASA, AAS, and RHS.

Define congruent polygons.

The polygons that are congruent are those whose vertices and sides line up perfectly. Congruent polygons are polygons having the same size and shape, even if they can be rotations, translations, or mirror reflections of one another. This is another way to conceive of the idea.

A triangle's congruence can be established using the triangle congruence theorem or triangle congruence criterion. The definition of congruent is "absolutely equivalent in shape and size regardless of rotation, flipping, or turning." Congruent figures are described in geometry as shapes that are superimposed on one another, such as triangles and quadrilaterals.

The following are the triangle congruence criteria that aid in demonstrating triangle congruence.

SSS (Side, Side, Side)SAS (Side, Angle, Side)ASA (Angle, Side, Angle)AAS (Angle, Angle, Side)RHS (Right angle-Hypotenuse-Side or the Hypotenuse Leg theorem)

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What is the image of the point (-6, 2) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer:

[tex](6,2)[/tex]

Step-by-step explanation:

When rotating 180° about the origin, [tex](x,y) \longrightarrow (-x, -y)[/tex].

what did the mathematization do to practice over winter break

Answers

The mathematician hit the slopes

There are 22 girls and 28 boys on the dukes team. Write the ratio of boys to total students on the dukes team

Answers

Answer:

28:50

Step-by-step explanation:

22+28=50, and that is the total amount of students. The number of boys go first in the ratio, then total students.

Other Questions
the benefits of belonging to professional organizations include the development of professional contacts and the opportunity to update one's skills and knowledge. "Production and marketing are like the scissor's blade, one is no good without the other." Justify this statement with suitable example a patient being premedicated prior to receiving chemotherapy reports vaginal burning. which medication can cause this 25235447Wm/1 =m/2 =m/3=m/4=m25 = what is the acidic level of a 100 liter tank thats 12% acid poured into a 50 liter tank that's 0% acid Choose a sentence with the incorrect punctuation.O a) This dress fits perfectly; furthermore, the fabric is so soft.Oc) This dress fits perfectly. The fabric is so soft.b) This dress fits perfectly, and the fabric is so softOd) This dress fits perfectly, the fabric is so soft. latisha noticed that in the early evening she begins to have difficulty seeing the vibrant colors in her artwork. which of the following best explains her difficulty? when the interest rate is low the . group of answer choices transactions demand for money will decrease. precautionary demand for money will increase. demand for loans will be low. asset demand for money will increase. Shaniqua has never prepared baked chicken before, but she is quite experienced in baking pork tenderloin. She knows that it's important to bake the chicken thoroughly to rid it of any pathogens. Shaniqua remembers that pork tenderloin must reach a temperature of 145 F so she figures that will do for the chicken . Shaniqua's family is excited to carve into the baked chicken but then gasps when the inside has pink undercooked spots. What should Shaniqua have done differently ? Turned the setting on her oven to broil instead of bake . Basted the chicken with butter or oil during baking. Looked up the internal cooking temperature for chicken . Taken a bite out of the inside of the chicken before serving . western union and moneygram dominate the $600 billion money transfer market because of their huge distribution networks of branch offices and global pickup locations, which makes it hard for potential competitors to get started. this is an example of which factor that drives competition? the minimum level of proof needed for an inquiry to ask questions of a person walking down the street is: What standards did the early bishops use to discern which books belong in the canon of the bible. the entries in a $3 \times 3$ array include all the digits from 1 through 9, arranged so that the entries in every row and column are in increasing order. how many such arrays are there? (a) 18 (b) 24 (c) 36 (d) 42 (e) 60 The following image shows a man running with a training parachute. The man is pushing himself forward with a force of 30 newtons. The net force on the man is 10 newtons forward. What is the parachute doing?It is pushing the man forward with 10 newtons of force.It is reducing the force by increasing the runner's mass.It is making the runner travel at a constant speed.It is pulling the man backward with 20 newtons of force.**** 5. what gas were you measuring with the labquest that was being produced by the plant in photosynthesis? how did this result change over time? the nurse is caring for a client who does not speak the dominant language. in order to facilitate unencumbered communication with the client, the nurse will take which action(s)? select all that apply. which of the following describe climate models and how we best use them? multiple select question. we only use them to predict future changes. they help demonstrate cause and effect. they really only work when human variables are ignored. we include both natural and human variables. Butterfly is 3 times Blossom's age. In 5 years, Butterfly will be 2 times Blossom's age. How old is Blossom now? a car is traveling with a speed of 20.0 m/s along a straight horizontal road. the wheels have a radius of 0.300 m. if the car speeds up with a linear acceleration of 1.50 m/s2 for 8.00 s, find the angular displacement of each wheel during this period. How many times does a restriction enzyme cut a double stranded piece of dna at a given restriction site?.