Can some help with the answer please it’s very much needed and apprIeciated

Can Some Help With The Answer Please Its Very Much Needed And ApprIeciated

Answers

Answer 1

Answer:

A

Step-by-step explanation:

The degree of the Polynomial is 3


Related Questions

sin x - cos x - 1/√2 = 0
Find the value of x ​

Answers

Answer:

Step-by-step explanation:

write your answer as an integer or as a decimal rounded to the nearest tenth​

Answers

Answer:

Step-by-step explanation:

Given that fx=2x2-4x+1, then f(-1)is.​

Answers

Answer:

[tex]f(-1)=7[/tex]

Step-by-step explanation:

I am going to assume your question meant the equation

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

So [tex]f(-1)[/tex] can be found by substituting all the x terms in the equation with -1

[tex]f(-1)=2(-1)^{2} -4(-1)+1[/tex]

And simplifying for our answer

[tex]f(-1)=2(1)+4+1[/tex]

[tex]f(-1) = 2+4+1[/tex]

[tex]f(-1)=7[/tex]

The auto parts department of an automotive dealership sends out a mean of 6.3 special orders daily. What is the probability that, for any day, the number of special orders sent out will be exactly 3

Answers

Answer:

0.0765 = 7.65% probability that, for any day, the number of special orders sent out will be exactly 3

Step-by-step explanation:

We have the mean, which means that the poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

The auto parts department of an automotive dealership sends out a mean of 6.3 special orders daily.

This means that [tex]\mu = 6.3[/tex]

What is the probability that, for any day, the number of special orders sent out will be exactly 3?

This is P(X = 3). So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 3) = \frac{e^{-6.3}*6.3^{3}}{(3)!} = 0.0765[/tex]

0.0765 = 7.65% probability that, for any day, the number of special orders sent out will be exactly 3

What is 5 (x-4) + 3x - 9x + 7?

Answers

Answer:

-x - 13

Step-by-step explanation:

5(x-4) + 3x - 9x + 7

First we use the distributive property to remove the parenthesis

5x -20 + 3x - 9x + 7

then we combine the like terms

-x - 13

Given:
HI and JK intersect at point O.
m KOH = 110
Colleen was asked to find the measure of x and explain her reasoning

Answers

Line geometry are caused from the intersection of two line. The measure of angle x from the diagram is 110degrees

Linear geometry

Line geometry are caused from the intersection of two lines. From the given figures, you can see that <KOH and <IOK forms a linear pair, hence;

<KOH + <IOK = 180

110 + <IOK = 180
<IOK = 180 - 110
<IOK = 70 degrees

Similarly <x and MIOK are linear pair pair such that <x + 1<IOK = 180
<x + 70 =180
<x = 180 - 70
<x = 110degrees

Hence the measure of angle x from the diagram is 110degrees

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Answer:

<IOK = 70 degrees

<x and <IOK form a linear pair, so m<x is = 110

Step-by-step explanation:

i did it on khan and got it right, i hope your day goes well and you get all your other questions right :)

Jason collects baseball cards. He bought one card for $25. Its current value is represented by the expression 25(1.02)t, where t is the number of years Jason has owned the card. Is Jason’s baseball card going up or down in value?

Answers

If Jason’s baseball card going up by 2% every year for example

Jason’s baseball card after 1 year is
25×(1.02)^(1)=25.5
It increased by 0.5 in amount after one year
91927278 shahs woaozi I uhenenenfbbfbfjcxkzozooal qelll 81727238 aooaizhabenc 25$

Quick can someone plot these in a scatter plot
(9.2,2.33)
(19.5,3.77)
(15.5,3.92)
(0.7,1.11)
(21.9,3.69)
(0.7,1.11)
(16.7,3.5)
(0.7,1.11)
(18,4)
(18,3.17)

Answers

The scatterplot is below.

I used GeoGebra to make the scatterplot. Though you could use other tools such as Excel or Desmos, or lots of other choices.

Side note: I'm not sure why, but you repeated the point (0.7,1.11) three times.

What is the axis of symmetry of the
parabola graphed below?

O x=4
Oy=2
Oy=4
Ox=2
Other:

Answers

Answer:

A

Step-by-step explanation:

i think so..sorry if im wrong

X=2 is the axis of symmetry.

Cos(x)=0.35 all solutions

Answers

Step-by-step explanation:

you have to type shift an cos button together at one time and then write 0.35 youwill get answer

The edge roughness of slit paper products increases as knife blades wear. Only 2% of products slit with new blades have rough edges, 3% of products slit with blades of average sharpness exhibit roughness, and 4% of products slit with worn blades exhibit roughness. If 25% of the blades in the manufacturing are new, 60% are of average sharpness, and 15% are worn, what is the proportion of products that exhibit edge roughness

Answers

Answer:

The proportion of products that exhibit edge roughness is 0.029 = 2.9%.

Step-by-step explanation:

Proportion of products that exhibit edge roughness:

2% of 25%(new blades).

3% of 60%(average sharpness).

4% of 15%(worn). So

[tex]p = 0.02*0.25 + 0.03*0.6 + 0.04*0.15 = 0.029[/tex]

The proportion of products that exhibit edge roughness is 0.029 = 2.9%.

5) If the local professional basketball team, the Sneakers, wins today's game, they have a 2/3 chance of winning their next game. If they lose this game, they have a 1/2 chance of winning their next game.

A) Make a Markov Chain for this problem; give the matrix of transition probabilities and draw the transition diagram.
B) If there is a 50-50 chance of the Sneakers winning today's game, what are the chances that they win their next game?
C) If they won today, what are the chances of winning the game after the next?

Answers

Answer:

If they win today's game, the probability to win the next game = 2/3  

Therefore the probability that they lose the next game when they win today's game = 1-(2/3) =1/3.

If they lose today's game, the probability to win the next game = 1/2

so, the probability to lose is 1/2.

a)        [tex]\begin{bmatrix} \frac{2}{3}&\frac{1}{2} & \\\\ \frac{1}{3}&\frac{1}{2} & \end{bmatrix}[/tex]

b)       [tex]p=\begin{bmatrix} \frac{1}{2}\\\\ \frac{1}{2} \end{bmatrix}[/tex]

         [tex]p^{'} =\begin{bmatrix} \frac{7}{12}\\\\ \frac{5}{12} \end{bmatrix}[/tex]

c) Let them win today's game

[tex]p=\begin{bmatrix} 1\\ 0 \end{bmatrix}\\\\\\p^{'} =\begin{bmatrix} \frac{2}{3}\\\\\frac{1}{3} \end{bmatrix}[/tex]

[tex]p^{''}= \left[\begin{array}{c}\frac{11}{18} \\\\\frac{7}{18} \end{array}\right][/tex]

The chances that they win their next game are 58.33%, while if they won today, the chances of winning the game after the next are 38.88%.

Probabilities

Given that if the local professional basketball team, the Sneakers, wins today's game, they have a 2/3 chance of winning their next game, while if they lose this game, they have a 1/2 chance of winning their next game, to determine, if there is a 50-50 chance of the Sneakers winning today's game, what are the chances that they win their next game, and determine, if they won today, what are the chances of winning the game after the next, you must perform the following calculations:

(2/3 + 1/2) / 2 = X1,666 / 2 = X0.58333 = X

((2/3 + 1/2 / 2) x 2/3 = X0.58333 x 0.666 = X0.3888 = X

Therefore, the chances that they win their next game are 58.33%, while if they won today, the chances of winning the game after the next are 38.88%.

Learn more about probabilities in https://brainly.com/question/10182808

Claims from Group A follow a normal distribution with mean 10,000 and standard deviation 1,000. Claims from Group B follow a normal distribution with mean 20,000 and standard deviation 2,000. All claim amounts are independent of the other claims. Fifty claims occur in each group. Find the probability the total of the 100 claims exceeds 1,530,000.

Answers

Answer:

0.0287 = 2.87% probability the total of the 100 claims exceeds 1,530,000.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n instances of a normal variable:

For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]

Sum of normal variables:

When two normal variables are added, the mean is the sum of the means, while the standard deviation is the square root of the sum of the variances.

Group A follow a normal distribution with mean 10,000 and standard deviation 1,000. 50 claims of group A.

This means that:

[tex]\mu_A = 10000*50 = 500000[/tex]

[tex]s_A = 1000\sqrt{50} = 7071[/tex]

Group B follow a normal distribution with mean 20,000 and standard deviation 2,000. 50 claims of group B.

This means that:

[tex]\mu_B = 20000*50 = 1000000[/tex]

[tex]s_B = 2000\sqrt{50} = 14142[/tex]

Distribution of the total of the 100 claims:

[tex]\mu = \mu_A + \mu_B = 500000 + 1000000 = 1500000[/tex]

[tex]s = \sqrt{s_A^2+s_B^2} = \sqrt{7071^2+14142^2} = 15811[/tex]

Find the probability the total of the 100 claims exceeds 1,530,000.

This is 1 subtracted by the p-value of Z when X = 1530000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{1530000 - 1500000}{15811}[/tex]

[tex]Z = 1.9[/tex]

[tex]Z = 1.9[/tex] has a p-value of 0.9713

1 - 0.9713 = 0.0287

0.0287 = 2.87% probability the total of the 100 claims exceeds 1,530,000.

I really need help please
what is this?​

Answers

Answer:

431.2

Step-by-step explanation:

Area of a regular polygon = # of sides * side length of 1 side * apothem

We want to find the area of a regular polygon with 7 sides, an apothem of 8 meters, and a side length with 7.7 meters

So # of sides = 7

apothem = 8

side length = 7.7

so the area would equal 7 * 8 * 7.7 = 431.2

It says to round to the nearest tenth however 431.2 is already rounded to the nearest tenth

Answer:

That answer ^ is incorrect. The correct answer ( in acellus that is ) is 2

15.6

Step-by-step explanation:

Select all that apply.
Given the points (5, 10) and (-4,-8), which of the following are true about the line passing through these points?

The line has a slope of 1/2

The line represents a direct variation function

The point (6.3) is also on the line

The line has a slope of 2

Answers

Answer:

The line represents a direct variation function

The line has a slope of 2

Step-by-step explanation:

In oder to find the slope given two points, use the Slope-Formula to identify the slope

m = slope

m = y2 - y1/x2 - x1

m = -8 - 10/-4 - 5

m = -18/ -9

m = 18/9

m = 2

Therefore, the slope is 2

Which of the following is the graph of
(x - 1)^2 + (y + 2)^2 = 4 ?​

Answers

Answer:

a

Step-by-step explanation:

The correct answer is option C which is the graph of the equation ( x-1 )² + ( y+ 2 )² = 4 will be the circle in the third and the fourth quadrant.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Given equation is ( x-1 )² + ( y + 2 )² = 4

The graph of the equation is attached with the answer below when we plot the graph we will get the circle that is lying in the third and the fourth quadrant.

Therefore the correct answer is option C which is the graph of the equation ( x-1 )² + ( y+ 2 )² = 4 will be the circle in the third and the fourth quadrant.

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Which formula can be used to describe the sequence?

Answers

Answer:

B could be used to show the formula to describe the sentence

Write the quadratic function in the form g(x) = a (x-h)^2 +k.
Then, give the vertex of its graph.
g(x) = 2x^2 + 8x + 10

Answers

9514 1404 393

Answer:

  g(x) = 2(x +2)² +2

  vertex: (-2, 2)

Step-by-step explanation:

It is often easier to write the vertex form if the leading coefficient is factored from the variable terms:

  g(x) = 2(x² +4x) +10

Then the square of half the x-coefficient is added inside parentheses, and an equivalent amount is subtracted outside.

  g(x) = 2(x² +4x +4) +10 -2(4)

  g(x) = 2(x +2)² +2

Comparing to the vertex form, we see the parameters are ...

  a = 2, h = -2, k = 2

The vertex is (h, k) = (-2, 2).

find the area of the circle whose equation is x2+y2=6x-8y​

Answers

Answer:

Given that the equation of a circle is :

[tex] \green{ \boxed{\boxed{\begin{array}{cc} {x}^{2} + {y}^{2} = 6x - 8y \\ = > {x}^{2} + {y}^{2} - 6x + 8y = 0 \\ = > {x}^{2} + {y}^{2} + 2 \times ( - 3) \times x + 2 \times 4 \times y = 0 \\ \\ \sf \: standard \: equation \: o f \: circle \: is : \\ {x}^{2} + {x}^{2} + 2gx + 2fy + c = 0 \\ \\ \sf \: by \: comparing \\ \\ g = - 3 \\ f = 4 \\ c = 0 \\ \\ \sf \: radius \: \: r = \sqrt{ {g}^{2} + {f}^{2} - c } \\ = \sqrt{ {( - 3)}^{2} + {4}^{2} - 0 } \\ = \sqrt{9 + 16} \\ = \sqrt{25} \\ = 5 \: unit \\ \\ \bf \: area \: = \pi {r}^{2} \\ = \pi \times {5}^{2} \\ =\pink{ 25\pi \: { unit }^{2} }\end{array}}}}[/tex]

Suppose a classmate got 12+ 2x as
the answer for Example D instead of
2x + 12. Did your classmate give a
correct answer? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

Using the commutative property (a + b = b + a), we can easily calculate that 12 + 2x is equal to 2x + 12.

If f(x)=5(x+3)^3-2. What does f^-1(x) equal?

Answers

9514 1404 393

Answer:

  C  ∛((x+2)/5) -3

Step-by-step explanation:

To find the inverse function, solve for y:

  x = f(y)

  x = 5(y +3)³ -2 . . . . . . substitute f(y)

  x +2 = 5(y +3)³ . . . . . add 2 -- already you know C is the answer

  (x +2)/5 = (y +3)³ . . . . divide by 5

  ∛((x +2)/5) = y +3 . . . . take the cube root

  ∛((x +2)/5) -3 = y . . . . subtract 3

  f^-1(x) = ∛((x +2)/5) -3 . . . . matches expression C

A student writes
1 1/2 pages of a report in 1/2
an hour. What is her unit rate in pages per hour?

Answers

Answer:

3 pages per hour

Step-by-step explanation:

Take the number of pages and divide by the time

1 1/2 ÷ 1/2

Write the mixed number as an improper fraction

3/2÷1/2

Copy dot flip

3/2 * 2/1

3

9514 1404 393

Answer:

  3 pages per hour

Step-by-step explanation:

To find the number of pages per hour, divide pages by hours.

  (1.5 pages)/(0.5 hours) = 3 pages/hour

The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.954 grams and a standard deviation of 0.292 grams. Find the probability of randomly selecting a cigarette with 0.37 grams of nicotine or less. Round your answer to four decima

Answers

Let X be the random variable representing the amount (in grams) of nicotine contained in a randomly chosen cigarette.

P(X ≤ 0.37) = P((X - 0.954)/0.292 ≤ (0.37 - 0.954)/0.292) = P(Z ≤ -2)

where Z follows the standard normal distribution with mean 0 and standard deviation 1. (We just transform X to Z using the rule Z = (X - mean(X))/sd(X).)

Given the required precision for this probability, you should consult a calculator or appropriate z-score table. You would find that

P(Z ≤ -2) ≈ 0.0228

You can also estimate this probabilty using the empirical or 68-95-99.7 rule, which says that approximately 95% of any normal distribution lies within 2 standard deviations of the mean. This is to say,

P(-2 ≤ Z ≤ 2) ≈ 0.95

which means

P(Z ≤ -2 or Z ≥ 2) ≈ 1 - 0.95 = 0.05

The normal distribution is symmetric, so this means

P(Z ≤ -2) ≈ 1/2 × 0.05 = 0.025

which is indeed pretty close to what we found earlier.

Given the exponential function g(x)= 1∕2(2)^x, evaluate ƒ(1), ƒ(3), and ƒ(6).
A) ƒ(1) = 1, ƒ(3) = 4, ƒ(6) = 32
B) ƒ(1) = 2, ƒ(3) = 9, ƒ(6) = 64
C) ƒ(1) = 1, ƒ(3) = 2, ƒ(6) = 8
D) ƒ(1) = 4, ƒ(3) = 16, ƒ(6) = 128

Answers

Answer:

A) ƒ(1) = 1, ƒ(3) = 4, ƒ(6) = 32

Step-by-step explanation:

f(x)= 1∕2(2)^x,

Let x = 1

f(1)= 1∕2(2)^1 = 1/2 ( 2) = 1

Let x = 3

f(3)= 1∕2(2)^3 = 1/2 ( 8) = 4

Let x = 1

f(6)= 1∕2(2)^6 = 1/2 ( 64) = 32

Answer:

A) ƒ(1) = 1, ƒ(3) = 4, ƒ(6) = 32

Step-by-step explanation: I took the test

A. If x:y= 3:5, find = 4x + 5 : 6y -3​

Answers

Answer:

17 : 27

Step-by-step explanation:

x=3

y=5

4(3)+5 : 6(5)-3

= 12+5 : 30-3

= 17 : 27

is “x = -3” a function

Answers

Answer:

No

Step-by-step explanation:

x = -3 is a vertical line at x= -3

Tow points on the line are

(-3,1) and (-3,2)

This means one x value goes to 2 different y values so it is not a function

Answer: No

Step-by-step explanation: The line x = -3 is a vertical or straight up and down line that is parallel to the y-axis. On the vertical line x = -3, when x = -3, y can be 0, 1, 2, -5, or any other number, there are in infinite number of possibilities.

The technical definition of a function is written as "a relation in which each element in the domain is paired with one and only one element in the range."

Dan's car depreciates at a rate of 6% per year. By what percentage has Dan's car depreciated after 4 years? Give your answer to the nearest percent​

Answers

Answer:

it's easy you need to do 6%×4 it's 24%

In the equation z/6 =
36, what is the next step in the equation solving sequence?
Isolate the variable
using inverse operations.
Combine like terms.
Identify and move the coefficient and variable.
Move all numbers without a variable.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

"Isolate the variable  using inverse operations."

»»————- ★ ————-««  

Here’s why:

To solve for a variable, we would have to isolate it on one side.

To isolate it, we would use inverse operations on both sides on the equation until the variable is isolated.

There are no like terms in the given equation.

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'z'...}}\\\\\frac{z}{6} = 36\\-------------\\\rightarrow (\frac{z}{6})6 = (36)6\\\\\rightarrow \boxed{z = 216}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

First option: Isolate the variable using inverse operations

Step-by-step explanation:

z/6 = 36

Since we already have the equation set up and cannot simplify any further, we must try to isolate the variable, z, by using inverse operations.

The inverse operation of division is multiplication, so to isolate z, we multiply 6 on each side:

z/6 · 6 = 36 · 6

z = 216

4) A box has dimensions of 14 inches long, 1.4 feet wide,
and 9 inches high. What is the volume of the box?
The formula for the volume is V=1.w.h.

Answers

Answer:

2116.8 in^3

Step-by-step explanation:

V = l*w*h

All the units need to be the same

Convert 1.4 ft to inches

1.4 ft * 12 inches/ ft = 16.8 inches

V = 14 * 16.8  * 9

   = 2116.8 in^3

find the area of this unusual shape

Answers

Answer:

38 ft²

Step-by-step explanation:

The shape consists of a rectangle and two triangles.

Area of the shape = area of rectangle + area of the two triangles

✔️Area if the rectangle = L × W

L = 8 + 2 = 10 ft

W = 3 ft

Area of rectangle = 10 × 3 = 30 ft²

✔️Area of the large triangle = ½ × bh

b = 4 ft

h = 3 ft

Area of large triangle = ½ × 4 × 3 = 6 ft²

✔️Area of the small triangle = ½ × bh

b = 2 ft

h = 2 ft

Area of large triangle = ½ × 2 × 2 = 2 ft²

✅Area of the shape = 30 + 6 + 2 = 38 ft²

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This table shows the results of a survey that asked a group of people what time of day their favorite tv show aired.5:00=36:00=57:00=108:00=219:00=2510:00=1511:00=12What time corresponds to the mode of this set of data?A.) 8:00 pmB.) 9:00 pmC.) 10:00 pmD.) 11:00 pm Open the sash half way up, take the beaker containing the dry ice / water out of the hood, and slowly move it from right in front of the hood all the way down to the floor. At what point do the fumes stop getting sucked up by the fume hood? A block of amber is placed in water and a laser beam travels from the water through the amber. The angle of incidence is 35 degrees while the angle of refraction is 24 degrees. What is the index of refraction of amber?(index of refraction of water is 1.33) What are the x-intercepts for the function (x) = -x(x 4)? A 0 B -1, 4 C 4 D 0, 4What are the solutions to the quadratic equation 4x2 x 3 = 0? Bit op-amp c Vsat = 12V, R1=R2=R3=R4=R, dng sng in p Vi(t) c cho nh hnh 2.16b a. Tnh V0 theo Vi, li p AVb. V li dng sng in p V0(t) khi Vm= 38 V c. V li dng sng in p V0(t) khi Vm = 5V Rearrange the Jumbled sentences:The Dog Went With Them.pls rearrange the jumbled sentences for this question guys.HELP MEPLS A 10-ft ladder, whose base is sitting on level ground, is leaning at an angle against a vertical wall when its base starts to slide away from the vertical wall. When the base of the ladder is 6 ft away from the bottom of the vertical wall, the base is sliding away at a rate of 4 ft/sec. At what rate is the vertical distance from the top of the ladder to the ground changing at this moment? Which of the following graphs represents a one-to-one function? On a coordinate plane, a function has two curves connected to a straight line. The first curve has a maximum of (negative 6, 4) and a minimum of (negative 4.5, negative 1). The second curve has a maximum of (negative 3.5, 2) and a minimum of (negative 2.5, 0.5). The straight line has a positive slope and starts at (negative 2, 1) and goes through (1, 2). On a coordinate plane, a circle intersects the x=axis at (negative 2, 0) and (2, 0) and intercepts the y-axis at (0, 4) and (0, negative 4). On a coordinate plane, a v-shaped graph is facing up. The vertex is at (0,0) and the function goes through (negative 4, 4) and (4, 4). A coordinate plane has 7 points. The points are (negative 4, 1), (negative 3, 4), (negative 1, 3), (1, negative 3), (3, negative 4), (4, negative 2), (5, 3). Mark this and return Value of [(3/2)^(-2)] is* A class was performing an experiment to discover the pH values of some common household substances. The results of three groups are shown in the table below.SubstanceGroup 1 pHGroup 2 pHGroup 3 pHLemon juice2.22.22.1Vinegar2.82.88.2Baking soda8.48.58.4Milk of magnesia10.210.310.2Which statement best describes evidence that Group 3s data are less valid than the data for the other two groups?a. Group 3s pH value for lemon juice is lower than the values of the other two groups.b. Group 3s pH value for vinegar is much higher than the values of the other two groups.c. Group 3s pH value for baking soda does not exactly match the values of the other two groups.d. Group 3s pH value for milk of magnesia is different from the value obtained by Group 2. I need help asap!!!!Please explain the answer Other than consulting the internet, where can a pharmacy technician access information on updates being made to the medical field? A new employee, John Chapman, earns $10 per hour and gets time-and-a-half over 40 hours per week. His first week he worked 45 hours. Deductions from his check were $30 for OASDI, $7 for Medicare, $ 61 for federal income tax withholding, and $15 for a United Way contribution. What was his gross pay for the period