if GHJ is an equilateral triangle, GH = 2x +17, HJ = 6x-19, and GJ = 4x-1, find X and the measure of each side..


ASAP I NEED HELP!!!!!!! ITS DUE IN 10 MINS PLS HELP ME

Answers

Answer 1

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GHJ is an Equilateral triangle ,

Thus the sides are same.

So :

GH = HJ = GJ

\(2x + 17 = 6x - 19 = 4x - 1\)

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\(2x + 17 = 6x - 19\)

Add sides 19

\(2x + 17 + 19 = 6x - 19 + 19 \\ \)

\(2x + 36 = 6x\)

Subtract sides 2x

\( - 2x + 2x + 36 = - 2x + 6x\)

\(36 = 4x\)

\(4x = 36\)

Divide sides by 4

\( \frac{4x}{4} = \frac{36}{4} \\ \)

\(x = 9\)

So ;

\(GH = 2(9) + 17\)

\(GH = 18 + 17\)

\(GH = 35\)

Thus ;

\(GH = HJ = GJ = 35\)

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Related Questions

In ️KLM, k=76 inches , I =30 inches and m=69 inches. Find the measure of

Answers

Given the information on the problem,we have the following triangle:

we can find the measure of angle M using the law of cosine:

\(m^2=k^2+l^2-2kl\cos M\)

in this case, we have the following:

\(\begin{gathered} (69)^2=(76)^2+(30)^2-2(76)(30)\cos M \\ \Rightarrow4761=5776+900-4560\cos M \\ \Rightarrow4761-5776-900=-4560\cos M \\ \Rightarrow-1915=-4560\cos M \\ \Rightarrow\cos M=\frac{-1915}{-4560}=\frac{383}{912} \\ \Rightarrow M=\cos ^{-1}(\frac{383}{912})=65 \\ M=65\degree \end{gathered}\)

therefore, the measure of angle M is 65 degrees

In KLM, k=76 inches , I =30 inches and m=69 inches. Find the measure of

If M=1,000,P=2.25, and Y=2,000, what is velocity? a. 2.25 b. 4.5 c. 2 d. None of the above is true

Answers

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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What are the first 3 terms of the sequence represented by the expression n(n – 2) – 4 ?

Answers

The first 3 terms of the sequence using the expression are -5, -4 and -1

Calculating the first 3 terms of the sequence using the expression

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

n(n – 2) – 4

This means that

T(n) =  n(n – 2) – 4

Set n = 1, 2 and 3

So, we have

T(1) =  1 * (1 – 2) – 4 = -5

T(2) =  2 * (2 – 2) – 4 = -4

T(3) =  3 * (3 – 2) – 4 = -1

Hence, the first 3 terms of the sequence using the expression are -5, -4 and -1

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1.5(a -4) - 2 = 4 pls help ASAP and show checked answer

Answers

Answer:

4

Step-by-step explanation:

Solving:

1.5(a -4) - 2 = 4 1.5a - 6 -2 = 41.5a - 8 = 41.5a = 4 + 81.5a = 12a = 12/1.5a = 8

Checking:

1.5(8-4) - 2 = 41.5*4 - 2 = 46 - 2 = 44 = 4
Solution :
5a -20 - 2 = 4
5a - 22 = 4
5a = 4 + 22
5a = 26
a = 26/5
a = 5.2
Check :
5(5.2 - 4 ) - 2 = 4
26 - 20 - 2 = 4
6 - 2 = 4
4 = 4
EQUATION PROVEN ✅

what is R240 decreased by 15%?​

Answers

Answer:

There are two steps to calculating a 10 percent discount: Step 1 is to convert your percentage to a decimal, the formula for which is 15 / 150 = 1.5. So 15 percent as a decimal is 1.5. Step 2 is to multiply your original price by your decimal.

Step-by-step explanation:

(1 - 15%) × 240 = ? Number 240 decreased by 15% (15 percent) of its value (percentage decrease) and calculated absolute change (actual difference)

15 POINTS GIVEN⁉️⁉️
Using the scatter graph, decide whether each of the following statements is true or false: a) The same athlete had the longest javelin throw and the longest discus throw. b) The shortest javelin throw was longer than the shortest discus throw. c) The longest discus throw was shorter than the longest javelin throw. Athletes' javelin and discus throws 60 Length of discus throw (m) 5 55 90 0 X 40 X X X x X X X X X 45 50 55 60 Length of javelin throw (m) X X 65 70​

15 POINTS GIVENUsing the scatter graph, decide whether each of the following statements is true or false:

Answers

Scatter graphs are used to represent data by using dots or symbols to represent data on two variables. There are two axes, a horizontal (x-axis) and a vertical (y-axis), where the horizontal axis is used for one variable and the vertical axis is used for the other variable. the statement is true.

Scatter graphs can be used to answer different questions about data by analyzing the pattern of the data. The questions that we want to answer using the scatter graph given in the question are:

a) The same athlete had the longest javelin throw and the longest discus throw.

b) The shortest javelin throw was longer than the shortest discus throw.

c) The longest discus throw was shorter than the longest javelin throw.

Answer: a) The same athlete had the longest javelin throw and the longest discus throw. This statement can be observed from the scatter graph by identifying the dots that are the highest and on the right of the graph.

The athlete who had the longest javelin throw also had the longest discus throw. Therefore, the statement is true.

b) The shortest javelin throw was longer than the shortest discus throw.

This statement can be observed from the scatter graph by identifying the dots that are the lowest and on the left of the graph.

The shortest javelin throw is longer than the shortest discus throw. Therefore, the statement is true. c) The longest discus throw was shorter than the longest javelin throw.

This statement can be observed from the scatter graph by identifying the dots that are the highest and on the right of the graph. The longest discus throw is shorter than the longest javelin throw. Therefore, the statement is false.

To conclude, scatter graphs are used to represent data by using dots or symbols to represent data on two variables. They can be used to answer different questions about data by analyzing the pattern of the data.

The scatter graph in the question can be used to determine whether a statement is true or false by identifying the dots that represent the data.

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What is the value of x?

What is the value of x?

Answers

Answer:

46°

Step-by-step explanation:

from large triangle:

let the third unknown angle be 'a'

then,

a+x+7+85=180

a=88-x

now,from small triangle,

let the third unknown angle be 'b'

then,

b+x+2x=180

b=180-3x

b=a (vertically opposite angles)

then,

180-3x=88-x

2x=92

x=46

a spring, whose equilibrium length is 1 m,1 m, extends to a length of 4 m4 m when a force of 5 n5 n is applied. find the work needed to extend the spring to a length of 2 m.

Answers

The work needed to extend the spring to a length of 2 m is 1.875 Joules.

To find the work needed to extend the spring to a length of 2 m, we can use the concept of work done by a force in stretching a spring.

The work done is given by the formula:

Work =\((1/2)k(x^2 - x0^2)\),

where k is the spring constant, x is the final displacement, and x0 is the initial displacement (equilibrium length).

Given:

Equilibrium length (x0) = 1 m

Force applied (F) = 5 N

Final displacement (x) = 2 m

We need to find the spring constant (k) to calculate the work. The spring constant can be determined using Hooke's Law:

F = k * x

Substituting the values:

5 N = k * 4 m

Solving for k:

k = 5 N / 4 m = 1.25 N/m

Now we can calculate the work done to extend the spring to a length of 2 m:

Work = (1/2) * k * (x^2 - x0^2)

     = (1/2) * 1.25 N/m * ((2 m)^2 - (1 m)^2)

     = (1/2) * 1.25 N/m * (4 m^2 - 1 m^2)

     = (1/2) * 1.25 N/m * 3 m^2

     = (1/2) * 3.75 N*m

     = 1.875 J

Therefore, the work needed to extend the spring to a length of 2 m is 1.875 Joules.

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Qué significa a^2 en matemáticas es la mi trabajo

Answers

In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.

How to illustrate with an example

4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.

If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.

In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.

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The Question in English

What does a^2 mean in mathematics

pls pls pls pls help me istg ill be your best friend and give you brianliest and all the points i can give and ill love you forvever pls pls pls pls

pls pls pls pls help me istg ill be your best friend and give you brianliest and all the points i can

Answers

a. The chart did not maintain consistent scaling

b. The graph is not the appropriate graph type to display such data

c.  The display had inaccurate or distorted visual representations

How do we explain?

When the actual data may not support it, changing the scales on the axes might give the appearance of big changes or differences.

The visual effect of data can be exaggerated or minimized, for instance, by adopting a non-linear scale or deleting specific sections of the axis.

So it important to Choose appropriate graph type that best represents the data and the relationship you want to convey.

It also advisable to make use of  clear and accurate labeling with descriptive titles and units of measurement.

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Points found in Quadrant III have

Answers

Answer:

Both x and y-coordinate are negative.

Can someone help me pls it’s due tomorrow

Can someone help me pls its due tomorrow

Answers

Answer:

1. 63.08 Rs

2. 5.03 Rs

3. 25.2 Rs

Explanation: answer to Q1 is already given.

Q2.=petrol price December2013 - December2011

=78.56-73.53

=5.03 Rs.

Q3.=Diesel price Aug '14 - Jan '11

=67.26-42.08

=25.2 Rs.

sorry idk the answer of Q4.

1. Use a proportion to find the height of the tree.

1. Use a proportion to find the height of the tree.

Answers

Given:

Height of the tree

To find the height of the tree, we use ratio/proportion.

So, we let x be the height of the tree and use the formula:

Height of man/length of man's shadow = x/length of the tree's shadow

\(\begin{gathered} \frac{5\text{ ft}}{8\text{ ft}}=\frac{x}{32\text{ ft}} \\ \text{Simplify and rearrange} \\ x=\frac{5(32)}{8} \\ \text{Calculate} \\ x=20\text{ ft} \end{gathered}\)

Therefore ,the height of the tree is 20 ft.

which of the following basic functions is equivalent to the piecewise-defined function f(x)= x if x≥0 −x if x<0 ? question content area bottom part 1 a. f(x)= 1 x b. f(x)=x c. f(x)=x2 d.

Answers

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Find the distance between the points (8, 1) and (5, 5).
Write your answer as a whole number or a fully simplified radical expression. Do not round.

___ Units

Answers

The distance between the points is 5

What will be the possible minimum and maximum cardinality of following sets, if X is a set of n numbers and Y is a set of m numbers and n is greater than m.
(a) X ∩ Y
(b) X ∪ Y
(c) X – Y
(d) Y - X

Answers

The cardinality of the set has been given in the explanation below

What is meant by the cardinality of a set

The cardinality of a set can be defined as the size of the set

(a) The minimum cardinality of X ∩ Y is 0, if X and Y have no elements in common. The maximum cardinality of X ∩ Y is m, if Y is a subset of X.

(b) The minimum cardinality of X ∪ Y is m, if Y is a subset of X. The maximum cardinality of X ∪ Y is n, if X and Y have no elements in common.

(c) The minimum cardinality of X - Y is 0, if Y is a subset of X. The maximum cardinality of X - Y is n - m, if X and Y have no elements in common.

(d) The minimum cardinality of Y - X is 0, if X is a subset of Y. The maximum cardinality of Y - X is m - n, if X and Y have no elements in common.

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Marvin saw a rug in a store that he would like to purchase. It has an area represented by the expression shown on the rug. He cannot remember the length and width, but he remembers that the length and the width were the same. a. Factor the expression that represents the area of the rug. b. What do the factors in the factored expression represent. ( x²-16x + 64)​

Answers

The area of the rug, represented by the quadratic expression, x² - 16·x + 64, indicates;

a. The factored expression is; x² - 16·x + 64 = (x - 8)·(x - 8)

b. The factors (x - 8) and (x - 8) in the factored expression represent the length and the width of the rug.

What is a quadratic expression?

A quadratic expression is an expression of the form; a·x² - 16·x + 64, where a ≠ 0, and a, b, and c are numbers.

The possible expression for the area of the rug is the quadratic expression; (x² - 16·x + 64)

The length of the rug = The width of the rug

a. The factor of the expression in the question, (x² - 16·x + 64), can be obtained by finding the numbers that have a product of 64 and a sum of -16

The possible number is therefore; 8

-8 × -8 = 64

-8 - 8 = -16

Therefore, we get; (x - 8) × (x - 8) = (x² - 16·x + 64)

The factored expression is therefore; (x² - 16·x + 64) = (x - 8) × (x - 8)

b. The measure of the factors are the same; (x - 8) = (x - 8)

Whereby; x² - 16·x + 64 represents the area of the carpet and the lengths and the width of the of carpet are the same, therefore;

The length of the carpet = (x - 8)

The width of the carpet = (x - 8)

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HELP ME I WILL GIVE BRAIN LEST


How many cows are there if 5 are in the barn and 8384737 are out the barn.

Answers

Answer:

8384742

Step-by-step explanation:

Answer:

there is no cow there because they have been barn

What is the difference between the yearly wages of the highest paying job and lowest paying job, assuming Araceli will be paid for working 40 hours a week, 52 weeks a year

Answers

Answer:

Is there a picture?? I need a picture

Step-by-step explanation:

The markup for both swing sets is 2014% . The school decides to buy the Adventurers swing set. What is the selling price of the swing set they are buying? Round to the nearest cent if necessary.

Answers

If the markup for both swing sets is 20 1/4% . The school decides to buy the Adventurers swing set. The selling price of the swing set they are buying is:  $3,674.84.

What is selling price?

Selling price can be defined as the amount a person intend to sell his/her product or the amount a buyer intend to buy a product.

Given data:

Adventurers  selling price = $3056

Thunder Ridge = 4,125

Markup 20 1/4% = 20.25 %

First  step is to find markup  

Markup = 20.25% × 3056

Markup =  $618.84

Now let find the selling price of the swing

Selling price = $3056 + $618.84

Selling price = $3,674.84

Therefore the selling price is the amount of $3,674.84.

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The complete question is:

An elementary school wants to purchase a new swing set. The table shows the selling price of the swing sets they are interested in buying

Swing Set

Wholesale Price ($)

Adventurers 3,056

Thunder Ridge 4,125

The markup for both swing sets is 20 1/4%. The school decides to buy the Adventurers swing set. What is the selling price of the swing set they

are buying? Round to the nearest cent if necessary,

The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 61 and standard deviation of 9.8 grams per mililiter. a. What is the probability that the amount of collagen is greater than 60 grams per milliliter

Answers

Answer:

45.94%

Step-by-step explanation:

Probability-Above 45.94%

Z =0.1  

x= 61

µ 60

σ 9.8

solve: 4(x+1)= -3x-10
SHOW WORK!!!!
WILL MARK BRAINLIEST

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

x = -2

▹ Step-by-Step Explanation

4(x + 1) = -3x - 10

Distribute 4:

4x + 4 = -3x - 10

4x + 3x

Move the terms:

4x + 3x + 4 = -10

Collect like terms:

7x = -10 - 4

7x = -14

FINAL ANSWER:

x = -2

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Monique made several batches of soup for a potluck supper. Each batch required Three-fourths of a pound of potatoes, and she used a total of 6 and one-half pounds of potatoes. Solve the division problem. StartFraction 13 over 2 EndFraction divided by three-fourths Monique made batches of soup.

Answers

Answer:

8 2/3

Step-by-step explanation:

proof below

Monique made several batches of soup for a potluck supper. Each batch required Three-fourths of a pound

Answer:

8 2/3

Step-by-step explanation:

Does anybody have the answer to this???? Thank You

Does anybody have the answer to this???? Thank You

Answers

Answer:

Step-by-step explanation:

h(4)=2w+3

4=2w+3

Collect like terms (c. I. T)

4-3=2w

1=2w

Divide both sides by 2(d.b.s)

1/2=2w/2

0.5=w

h=0.5w

What is equivalent to (3-2x) (4x - 7)?
A. 26x
B. -8x-21
C. -8x²+26x – 21
D. 12x² - 2x +21

Answers

Use FOIL

= 12x - 21 - 8x^2 + 14x
= -8x^2 + 26x - 21

Therefore answer C is correct

If the terminal side of angle θ is in the first quadrant and cos(θ)=3√2, what is the exact measure of θ?

Answers

There is no exact measure of θ that satisfies the condition cos(θ) = 3√2 in the first quadrant.

Given that the terminal side of angle θ is in the first quadrant and cos(θ) = 3√2, we can determine the exact measure of θ by using the inverse cosine function, also known as arccosine.

Since cos(θ) = adjacent/hypotenuse, we can set up a right triangle in the first quadrant with the adjacent side as 3√2 and the hypotenuse as 1. The opposite side of the triangle can be found using the Pythagorean theorem.

Let's calculate the length of the opposite side:

opposite^2 + adjacent^2 = hypotenuse^2

opposite^2 + (3√2)^2 = 1^2

opposite^2 + 18 = 1

opposite^2 = 1 - 18

opposite^2 = -17

Since the length of a side cannot be negative, we see that there is no real solution for the length of the opposite side. Therefore, the given cosine value of 3√2 does not correspond to an angle in the first quadrant.

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?/1 4. Draw a line representing the relationship between x , the number of hours it takes the painting company to finish the house, and y , the total cost of painting the house. Label the two points from the earlier question on your graph.what is the slope?

Answers

We can plot these points on a graph with x on the horizontal axis and y on the vertical axis. Once we plot these points, we can draw a straight line passing through both points.

To calculate the slope of this line, we can use the formula:
slope = (change in y) / (change in x)
In this case, the change in y is $2000 - $1600 = $400, and the change in x is 10 - 8 = 2.
Therefore, the slope of the line is: slope = $400 / 2 = $200 per hour

This means that for every additional hour it takes the painting company to finish the house, the total cost of painting the house increases by $200. In summary, we can draw a line representing the relationship between x and y using the two points provided, and calculate the slope of the line to be $200 per hour.

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80 divided by 192.0!!!!!!!!!!!!!!!

Answers

80/192.0 = 0.416666666666667

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667


The range of the set of the values 7, 3, 6, 9 and 5 =

Answers

Answer:

6

Step-by-step explanation:

Since the range of a set is the difference between the highest and the lowest value in that set, the range here is:

9 - 3 = 6

3/4 (x +21) = 10 1/2
What does x equal?

Answers

Answer:

\( \huge \boxed{ \boxed{ \red{x = - 7}}}\)

Step-by-step explanation:

to understand thisyou need to know about:equationPEMDASlet's solve:\( \sf distribute : \\ \frac{3 x+ 63}{4} = 10\frac{1}{2} \)\( \sf simplify \: mixed \: fraction : \\ \frac{3x + 63}{4} = \frac{21}{2} \)\( \sf cross \: multipication : \\ 2(3x + 63) = 84\)\( \sf distribute \: 2 : \\ 6x + 126 = 84\)\( \sf cancel \: 126 \: from \: both \: sides : \\ 6x + 126 - 126 = 84 - 126 \\ 6x = - 42\)\( \sf divide \: both \: sides \: by \: 6 : \\ \frac{6x}{6} = \frac{ - 42}{6} \\ \bcancel{\frac{6x}{6} } = \frac{ \cancel{ - 42} \: ^{ - 7} }{ \cancel{ \: 6}} \\ \therefore \: x = - 7\)

Step-by-step explanation:

Solution given;

\( \frac{3}{4} (x + 21) = 10 \frac{1}{2 } \\ 3x + 63 = \frac{21}{2} \times 4 \\ 3x = 42 - 63 \\ x = \frac{ - 21}{3} \\ x = - 7\)

:.x=-7 is your answer.

Other Questions
Do machines create less work? Example: pulley system Complete the dialogue below with suitable demonstrative pronouns.Customer:Can I have a look at 1_______mobile phone over there? Shop Assistant: Sure.Is 2____the one? Customer: Yes, how much is 3_____? Shop Assistant4_____mobile phone costs RM788.CustomerI am afraid it is out of my budget.Can you recommend a cheaper one?Shop Assistant: How about 5_____few sets on that counter over there? They cost RM 350each and are popular with many of our customers.Customer:6____seems the right size for me.Let me take a look at the functions. Does anyone have all the answers for the algebra 4 final exam on Edge? 1. If AABC is an equilateral triangle, solve for both x and y.BA...3x + 118y-4149 mSolving for Sides with OOGEEACInd2. If ARST is an equilateral triangle, find x and the measure of each side Angles 2 and 6 are called corresponding angles. What doyou notice about corresponding angles? Select all thatapply. which pull factor is responsible for the migration of african americans from the south to north in the early to mid-twentieth century Randall Racer runs the 100 meter dash in an average time of 10.4 seconds with a standard deviation of 0.1 seconds. If Randall's times are normally distributed, we have a 99.7% expectation that his finishing time for his next race will be greater than ______ seconds. a sample of oxygen gas occupies a volume of 400 ml at 50 degrees Celsius and 250mmhgWhat will its volume be at STP ? use the periodic table to determine the number of 3p electrons in si . From 2008 to 2010, the cost of houses rose by 60%. if the cost of houses rose by 40% from 2008 to 2009, to the nearest percent, how much did the cost rise from 2009 to 2010? They slept in the street. is it transitive or intransitive A rectangular pool is filled with 18.75 cubic meters of water. If the pool is 5 meters long and 2.5 meters wide, what is the depth of the pool? A driver travels for 4 hours at 88 miles per hourduring which his car gets 40 miles per gallon ofgasoline. He is paid $0.60 per mile, and his onlyexpense is gasoline at $3 per gallon. What is his netrate of pay, in dollars per hour after this expense? an information processing approach to understanding cognition does not group of answer choices rely on behavioral principles to explain specific stimulus-response relationships. use computer models to describe cognitive processes. describe cognition as processing information in stages. propose a sequence of mental operations to explain cognition. How do you solve 162x0. 967 using standard algorithm? suppose that an highway patrol officer can obtain radar readings on 500 vehicles during a typical shift. how many traffic violations would be found in a shift? What is the percent of C in Ca(C2H302)2? (Ca = 40.08 gkmol, C = 12.01 g/mol, H= 1.01 g/mol, O = 16.00 g/mol) [?1%C Round your answer to the hundredths place. [?] % C A movie theater lets you serve yourself candy for $0.79 per ounce. At that price, how much would you pay for 5.27 ounces of candy? Round your answers to the nearest cent. How do you use math in real life outside of school What is this enzymes optimum temperature? a. 40 degrees Celsius b. 60 degrees Celsius c. 30 degrees Celsius d. 10 degrees Celsius