Need help. I also need to show my work

Need Help. I Also Need To Show My Work

Answers

Answer 1

The factors of the expression (x³ - 6x² + 3x + 10) are (x + 1), (x - 2), and (x - 5).

We are given a mathematical expression. The expression is cubic in nature. We need to find the factors of the algebraic expression. Let the expression be represented by the variable "E". The expression consists of three terms. Hence, the expression is trinomial. The expression is given below.

E = x³ - 6x² + 3x + 10

One of the factors in the expression is already given. The given factor is (x + 1).

Now we will perform the long division method on the expression to break it into the given factor and a quadratic expression.

E = (x + 1)(x² - 7x + 10)

Now we will factorise the quadratic expression.

E = (x + 1)[x² - 2x - 5x + 10]

E = (x + 1)[x(x - 2) - 5(x - 2)]

E = (x + 1)(x - 2)(x - 5)

We cannot simplify and factorise the expression any further.

Hence, the factors of the expression are (x + 1), (x - 2), and (x - 5).

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Related Questions

Hi, how would I solve this question and what's the answer​

Answers

Answer:

-4/5

Step-by-step explanation:

do -3/2to get your answer

Step-by-step explanation:

You find the image of triangle by translation

A rectangular mural measures 238 centimeters by 435 centimeters. raegan creates a mural that is 27 centimeters longer. what's is the perimeter of ragans new mural

Answers

The perimeter of Ragans new mural is 530cm.

Rectangle:

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Here it is given that the measure of the rectangle is 238 cm and 435cm.

The Raegan creates a mural that is 27cm.

The formula to calculate the perimeter of a rectangle:

Perimeter = 2(length + breadth)

Earlier the length is 238cm and the breadth is 435cm.

Now replace the breath 435cm to 27cm.

length = 238cm

breadth = 27cm

Therefore we get the perimeter of the rectangle:

Perimeter = 2( 238 + 27)

= 2( 265)

=530cm

Therefore the perimeter is 530cm.

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Answer:

1400

Step-by-step explanation:

4, 7/4, -1/2, -11/4,
Arithmetic or Geometric

Answers

4, 7/4, -1/2, -11/4, is Arithmetic progression.

What is Arithmetic progression ?

An arithmetic progression or arithmetic sequence ( AP ) is a sequence of numbers such that the difference between the consecutive terms is constant.

Here the series is given

4, 7/4, -1/2, -11/4,.....

In series, take 1st and 2nd terms to know common difference.

the common difference is = 7/4 - 4

                                              = (7 - 16) / 4 = -9/4

Now, take 3rd and 2nd term

common difference = -1/2 - 7/4

                                 = (-2 - 7) / 4 = - 9/4

so, we get the common difference is -9/4.

By that we can clearly say that given sequence of series is a Arithmetic sequence.

Hence, 4, 7/4, -1/2, -11/4, is Arithmetic progression

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Helpp i need it quick lol

Answers

Answer: I would say it is 2 and 3

Step-by-step explanation:

I can't be 1 ben franklin was not the one fooling the king and France

It can't be 4 because Mesmers force did not exist.

What’s Question 6 and 7 ?

Answers

Step-by-step explanation:

6.

the factors need to be zero for the x-intercepts.

but (-3 - 3) = -6 and not 0.

the same for (-7 - 7) = -14 and not 0.

his mistake was the signs.

what do I need to add to -3 to get 0 ? 3. and 7 to -7.

so, the correct f(x) is

f(x) = (x + 3)(x + 7)

to get x-intercepts at -3 and -7.

7.

in the same way we get the factors here : for a given x the y value has to be 0.

how is y turning 0 for a polynomial in factor form ? well, at least one of the factors has to be 0.

therefore, for (-6, 0) the factor has to be

(x + 6) as -6 + 6 = 0

for (2, 0) the factor has to be

(x - 2) as 2 - 2 = 0

pick one of them as your answer. they are both correct factors for f(x).

Charis invested 140. She earned a simple interest of 3% per year on the initial investment. If no money was added or removed from the investment, what was the amount of interest Charis received at the end of two years?

Answers

The amount received by Charis on Simple interest in 2 years will be $8.4

What is Simple Interest?

The process of figuring out how much interest will accrue on a given principal sum of money is known as simple interest (S.I.).

It's formula is given by S.I. = PRT/100  where P = principle amount

R= rate and T = time.

Main Body:

P= $140

R= 3%

T= 2 years

so S.I. = 140*2*3/100

S.I. = $ 8.4

Hence total amount received by Charis at the end of 2 years will be $8.4

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Can someone please explain how to factor X^2 + 2x - 15?

Answers

The factored form of x² + 2x - 15 is (x + 5)(x - 3).

What is factorisation?

Factorisation is a process of finding the factors of algebraic equations and representing them in simple form instead of expanded form.

Therefore, let's factor x² + 2x - 15

x² + 2x - 15

let's find two numbers we can add to get 2 and multiply to get - 15. The two numbers are -3 and 5.

Therefore,

x² - 3x + 5x - 15

x(x - 3) + 5(x - 3)

(x + 5)(x - 3)

Therefore,

x² + 2x - 15 = (x + 5)(x - 3)

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There are 11,357 pets in a town that has a population of 47,500. What is the number of pets per capita?
Round your answer to 2 decimal places.

Answers

The number of pets per capita is 0.24

Given,

Number of pets in a town = 11,357

Population of the town = 47,500

We have to find the number of pets per capita;

Per capita;-

The Latin phrase "per capita" means "by head." It is used to calculate the average for each individual in a certain measurement. Per capita is frequently used, for instance, to calculate a population's per capita gross domestic product (GDP).

Here,

Number of pets per capita = Number of pets / Population

Number of pets per capita = 11,357 / 47,500

Number of pets per capita = 0.24

That is,

The number of pets per capita is 0.24

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Which expression is equivalent to 4f^2
e
/
1
4f

Answers

Answer:

4f^2/3 divided 1/4f 16f^3/3 f/3 3/16f^3 3/f

✓ Lets use algebra and simplify:[tex]\frac{\frac{4f^{2}}{3}}{\frac{1}{4f}} \\=\frac{4f^{2}}{3}* \frac{4f}{1} \\=…

A small park in the shape of a rectangle has dimensions 20m by 50m. a road through the park follows the diagonal of the rectangle. find the length of the road in simplest radical form.

Answers

The length of the road in the simplest radial form is 10[tex]\sqrt{29}[/tex].

Here a rectangle of dimensions is 20m by 50m. So the length of 50m and the breadth is 20m

As the road is diagonal of the rectangle.

So we have to find the length of the diagonal of the rectangle.

Formula to find the diagonal of rectangle:

Diagonal = [tex]\sqrt{l^{2} + b^{2} }[/tex]

length (l) = 50m

Breadth(b) = 20m

Diagonal = [tex]\sqrt{50^{2} + 20^{2} }[/tex]

               = [tex]\sqrt{2500 + 400}[/tex]

               = √2900

              = 10√29

Therefore the length of the road is 10√29.

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Determine which equation is false, based on the solution set S:{4}.

3t = 12
3m + 7 = 14
4(4c + 1) = 68
9 = 5p − 11

Answers

Based on the solution set S:{4}, the false equation is 3m + 7 = 14, because the solution of the equation is not 4

The first equation is

3t = 12

t = 12/3

t = 4

The solution is {4}

The second equation is

3m + 7 = 14

3m = 14 - 7

3m = 7

m = 7/3

The solution is not {4}

The third equation is

4(4c + 1) = 68

4c + 1 = 68/4

4c + 1 = 17

4c = 17-1

4c = 16

c = 16/4

c = 4

The solution is {4}

The fourth equation is

9 = 5p - 11

5p = 9 + 11

5p = 20

p = 20/5

p = 4

The solution is {4}

Hence, Based on the solution set S:{4}, the false equation is 3m + 7 = 14, because the solution of the equation is not 4

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Time taken for a 3 litre bowl at a rate of 2 litre per minute

Answers

Answer:1.5 minutesStep-by-step explanation:1 minute = 2 litres2 minutes = 4 litres

Thus, it takes 1.5 minutes {30 seconds} for filling a 3-litre bowl

it would be 1.4 minutes

Work out the area of this circle. Take to be 3.142 and write down all the digits given by your calculator. Circles - Area 6.9 cm​

Answers

The Area of the circle is 149.6 when the radius is 6.9cm.

Given that,

The radius is 6.9cm when the pi value is 3.142

Find the circle's area is what we must do.

We know that,

Radius is 6.9cm

r= 6.9cm

The space a circle occupies in a two-dimensional plane is referred to as its area. As an alternative, the area of a circle is the area included within the circle's perimeter.

Area of the circle is πr²

Area of the circle= 3.142×6.9²

Area of the circle= 3.142×47.61

Area of the circle=149.6

Therefore, The Area of the circle is 149.6 when the radius is 6.9cm.

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Consider the circle represented by this equation.
x² + 4x + y2² - 2y - 4 = 0
Which features are features of the circle?
000
radius of 1
center at (-2, 1)
center at (-4, 2)
radius of 3
radius of 9
center at (2,-1)
Reset
Next

Answers

The given circle equation  [tex]x^2+4x+y^2-2y-4[/tex]=0 has center(-2,1) and radius r=3.

What is circle equation?

 For all values of g, f, and c, the general equation of any type of circle is written as x2 + y2 + 2gx + 2fy + c = 0. The collection of all points in a plane that maintain a fixed, finite distance r from a fixed point is known as a circle. O = (a,b). The definition of a circle on the coordinate plane can be expressed using the equation of a circle. The equation is where r is the radius and if the centre of the circle is at the origin of the coordinate plane.

Here the given circle equation is,

=> [tex]x^2+4x+y^2-2y-4[/tex]=0

=>[tex]x^2+4x+y^2-2y =4[/tex]

[tex]= > x^2+4x+4+y^2-2y+1=4+4+1\\= > (x+2)^2+(y-1)^2=9[/tex]

we know that equation of circle is [tex](x-a)^2+(y-b)^2=r^2[/tex]

Here (a,b)= center and r is radius.

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

Then the Center (a,b)=(-2,1) and radius r=3.

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Show that a sum of the angles of a polygon could be 1800 and not 2000

Answers

Answer:

150

Step-by-step explanation:

The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180(n – 2), where n is the number of sides. The problem concerns a polygon with twelve sides, so we will let n = 12. The sum of the interior angles in this polygon would be 180(12 – 2) = 180(10) = 1800.

what do you add to 3and 3/8 to make 6

Answers

21/8 must be added to the terms to give the result as 6. The answer will be in a fraction.

What is a fraction?

In general, any number of equal pieces is represented by a fraction, which is a portion of the entire. In ordinary English, a fraction refers to the number of parts of a specific size.

Main Body:

Let the term to be added be x.

3+3/8+x =6

on solving this we will get the value of  x= 21/8

Hence the answer of this question is 21/8.

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Bert keeps honeybees on his farm. When he first started, he used a six frame beehive that have 40 pounds of honey. Now, he uses a 30 frame we have. It has the same ratio of frames to honey it’s a smaller behive.
How much honey does Burt‘s new beehive hold?

Answers

The amount of honey that Bert’s new beehive hold would be; 200.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given data that the Number of frame beehive = 6

The Pound of honey = 40

The Current Frame beehive = 30

First step is to formulate an equation and then use the formulated equation;

40 × 30 ÷ 6

Hence, 40 × 5

= 200 honey

Therefore, the number of honey would be; 200.

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The total measure of two adjacent angles is 153°. if one of the adjacent angles measures 104.7°, determine the measure of the other adjacent angle. 194.7° 257.7° 48.3° 75.3°

Answers

One of the unknown adjacent angle measures 48.3 degrees.

The adjacent angles are next to each other and hence are calculated by performing addition of the constituent angles. Let us assume the unknown adjacent angle be x.

Forming the equation based on x, adjacent angles and it's sum

104.7 + x = 153

Rewriting the equation as per the x

x = 153 - 104.7

Performing subtraction on Right Hand Side of the equation to find the value of x

x = 48.3 degrees

Thus, the measure of the adjacent angle is 48.3 degrees.

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Answer: its 48.3

Step-by-step explanation:

x+104.7= 153                                                                                                                 -104.7     -104.7                                                                                                                      =48.3

Sarah needed to get her computer fixed. she took it to the repair store. the technician at the store worked on the computer for 5.25 hours and charged her $133 for parts. the total was $579.25. which equation could be used to determine cc, the cost of labor per hour?

Answers

The equation could be used to determine cc is 5.25x + 133 = 579.25 and cost of labor per hour is $85.

Given:

The technician at the store worked on the computer for 5.25 hours and charged her $133 for parts.

Total charged = 579.25

Let x be the charge per hour.

so the equation = 5.25x + 133 = 579.25.

Technician charge  = 579.25 - 133 = 446.25

5.25 hours = 446.25

divide by 5.25 on both sides

5.25 hours / 5.25 = 446.25/5.25

1 hour = $85

Therefore The equation could be used to determine cc is 5.25x + 133 = 579.25 and cost of labor per hour is $85.

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Y intercept = -1 and goes through the point (3,8)

Answers

The equation of a line for y-intercept and the coordinate point is y=3x-1.

Given that, y-intercept is -1 and the line passes through the point (3, 8).

What is a y-intercept?

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

Put, c=-1 and (x, y)=(3, 8) in y = mx+c, we get

8=m(3)-1

⇒ 3m=9

⇒ m=3

Substitute c=-1 and m=3 in y = mx+c, we get

y=3x-1

Therefore, the equation of a line for y-intercept and the coordinate point is y=3x-1.

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In a certain chemical the ratio of zinc to copper is 4 to 11. a jar of the chemical contains 484 grams of copper. how many grams of zinc does it contain

Answers

The jar of chemicals contains 176 grams of zinc.

Using ratio and proportion to calculate the amount of zinc. Let us assume the mass of zinc to be x. Equating the ratios.

4 : 11 = x : 484

Rewriting the equation in terms of x

x = (484 × 4) ÷ 11

Performing multiplication in numerator on Right Hand Side of the equation to find the value of x

x = 1936 ÷ 11

Performing division on Right Hand Side of the equation to find the value of x

x = 176

Thus, the mass of zinc is 176 grams.

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1 the leftmost end point of a line segment must be specified as the start point of the line. true false

Answers

False, the leftmost end point of a line segment cannot be specified as the start point of the line

Define line segment.

A line segment in geometry has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in either direction. A line segment is either an edge (of that polygon or polyhedron) if its end points are adjacent vertices, or a diagonal more generally when both of its end points are vertices of a polygon or polyhedron. A line segment is referred to as a chord when both of its end points are located on a curve, like a circle.

Given,

False, the leftmost end point of a line segment cannot be specified as the start point of the line.

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Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest. What was her initial deposit

Answers

Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest then the initial deposit was $4700

Use the simple interest formula

I = P r t

where I = simple interest

P = principal

r= rate of interest

t= number of years

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

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Starting at midnight, Aarf the Dog barks for 15 seconds and
then is silent for the next 25 seconds. Aarf the Dog continues
this bark-fest until 1:01 AM that same morning. How many
times did Aarf the Dog bark for 15 seconds?

Answers

The number of times Aarf the Dog bark for 15 seconds if the dog starts barking at midnight and stops at 1:01 AM is 91.5 times

What is the number of times Aarf the Dog bark for 15 seconds?Time Aarf dog barks = 15 secondsTime Aarf dog become silent = 25 seconds

Total time of barking and silence = 15 seconds + 25 seconds

= 40 seconds

Time Aarf dog starts barking = 12:00 amTime Aarf dog stops barking = 1:01 AM

Difference in time = 1:01 AM - 12:00 am

= 1 hour 1 minutes

Convert hours and minutes to seconds

1 hour = 60 minutes1 minutes = 60 seconds

1 hour 1 minutes = 61 minutes × 60 seconds

= 3,660 seconds

Number of times Aarf the Dog bark for 15 seconds = Total hours Aarf dog barks / Total time of barking and silence

= 3,660 / 40

= 91.5 times

So therefore, the number of Aarf the Dog bark for 15 seconds is 91.5 times

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Johnny has 8 pears, 5 apples, and 3 oranges. Draw a model to show the ratio of oranges to pears.

Answers

Just draw 3oranges out of 8 pears and 5 apples 5/8 and 3/8 to the ratio

How can I evaluate P = 3n+2r+t -1 when n=3, r=2, and t=5?

Answers

Answer:

p=17

Step-by-step explanation:

P = 3n+2r+t -1

when n=3, r=2, and t=5?

we will just substitute for the values

p=3(3)+2(2)+5-1

p=9+4+4

p=9+8

p=17

;- The value for p is 17

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p=3(3) + 2(2) + 5 -1
p= 9 + 4+ 5 - 1
therefore p = 17

Given g(x)=x-4 and h(x)=2x-8use the graph shown to evaluate the composition (f•g)(0)

Answers

Answer:

(f ○ g)(0) = 3

Step-by-step explanation:

evaluate g(0) then substitute the value obtained into f(x)

g(0) means what is the value of g(x) when x = 0

from the graph g(0) = 2 , then

f(2) , that is what is the value of f(x) when x = 2

from the graph  f(2) = 3

then

(f ○ g)(0) = 3

in a class of 150 students the ratio of boys to girls is 3 2 how many more boys than girls are in the class

Answers

The number of  boys and girls in a class of 150 students is 90 and 60 respectively.

RATIO:

Comparing two quantities of the same units and determining the ratio tells us how much of one quantity is in the other.

i.e., it shows how many times a number contains another.

Total number of students = 150

ratio of boys to girls = 3 : 2

B:G = 3 : 2

now

3x + 2x = 150

5x = 150

x = 30

the number of boys = 3x = 3 X 30 = 90 boys.

the number of girls = 2x = 2 X 30 = 60 girls.

The number of  boys and girls in a class of 150 students is 90 and 60 respectively.

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Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer:

y = 8x - 6

Step-by-step explanation:

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We know that the y-intercept occurs when x = 0 so from the table, it's b = -6

We can use the slope formula to find the slope:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\ \frac{2-(-6)}{1-0} \\\frac{2+6}{1-0} \\8=m[/tex]

the distance y (in miles) that train A travels in x amount of time is represented by the equality y=78x. The graph shows the distance that train B travels.

URGENT PLS ANSWER!!!
ty!

Answers

We can conclude that train A is moving faster than train B

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

The distance y (in miles) that train A travels in [x] amount of time is represented by the equality y = 78x. The graph shows the distance that train B travels.

Train A is moving with speed s[A] = 78 miles/hour {As slope of the equation is 78}. The train B will move with speed given by -

s[B] = (132 - 66)/(2 - 1) = 66 miles/hour

Therefore, we can conclude that train A is moving faster than train B

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[In the complete question it is asking to find which train is moving faster]

Other Questions
a 1.00 l solution contains 24.52 g of nitrous acid, hno2. what mass of sodium nitrite, nano2, should be added to it to make a buffer with a ph of 3.46? ka (hno2) weiske industries hires a cleaning company to clean their office building, their factory, and their warehouse. how will weiske need to categorize these expenses? what is the magnitude of its angular velocity, in radians per second, after a 23 kg child gets onto it by grabbing its outer edge? the child is initially at rest. on average dog bite victims arrive at carver memorial hospital at a rate of 2 victims per day. which probability distribution is most nearly appropriate to describe the number of dog bite victims who arrive at this hospital on a given day? last october, a large nationwide grocery chain announced a recall on their chile lime chicken burgers, due to potential foreign material (bone) in their products. this is an example of Eric's city took a telephone poll about a plan to build a new hotel downtown. 200 people tookthe poll. 25% of them were in favor of the new hotel. How many people were in favor of thenew hotel? how many integers are between square root of 7 and 220 One force that acts on a surfer is friction. Another is gravity. Which of these is a non-contact force? Explain the effect of energy crisis under the following sub-heading. . Agriculture . Tourism . Industries an indium (in) atom has 49 electrons. electrons in which subshell of the indium atom ground state experience the lowest effective nuclear charge (z* or zeff)? can someone pls help me what is one of the largest crops grown in the united states today, and a staple or core food in many first people/native american dishes? 3X + 4X - 2 = 12Please help again Im not very smart lol Hannah prepares 44 pies for the thanksgiving feast at her school. each pie is cut into 8 pieces. approximately how many students can hannah feed? round to the nearest ten. which of the following are signs of alcohol poisoning? 1. skin is cold and clammy. 2. all of the answers are correct. 3. breathing rate is slow or irregular. 4. vomiting and then loss of consciousness Highlight the two complex sentences in the text below.Are Smart Watches Worth it?Smart watches have been around for a while now, but Ive avoided buying one. I was never convinced having one offered any great improvements on simply owning a phone. As far as I was concerned, they would never be able to replace a phone. But were they even supposed to? After speaking to a friend who swears by his smart watch, I decided to give one a go. What did I find? It was more useful than I first anticipated. Or maybe the right word is interesting? What did the United States possess that allowed it to mechanize its industries? griffith's experiment. why did an injection of both living iir cells and dead iiis cells kill the mice when each of those cells individually did nothing? 2 avery's experiment. why were no iiis cells found in the mixture containing deoxyribonuclease, but they were found in the mixtures containing ribonuclease or protease? A hacker wants to gain illegal Elizabeth owns a Mac and is not careful about what websites she visits, what links she clicks on, or what she downloads. She says that it is impossible for Macs to get viruses because the operating system is sandboxed. Is she correct? A. Yes, it is impossible for a Mac to become infected with any malware. B. No, a Mac can get a virus and be affected just as bad as a PC. C. No, a Mac can get a virus but it is not susceptible to any other type of malware. D. No, a Mac can still get viruses, but the viruses cannot get to the heart of the machine. Reset Next to Elizabeth owns a Mac and is not careful about what websites she visits, what links she clicks on, or what she downloads. She says that it is impossible for Macs to get viruses because the operating system is sandboxed. Is she correct? A. Yes, it is impossible for a Mac to become infected with any malware. B. No, a Mac can get a virus and be affected just as bad as a PC. C. No, a Mac can get a virus but it is not susceptible to any other type of malware. D. No, a Mac can still get viruses, but the viruses cannot get to the heart of the machine. Reset Next passwords for a popular online website. Where should they direct their attack? A. a bank B. a server C. a removable USB drive D. a laptop What happened at the Munich Conference? How did Britain and France respond to Hitler?