What is the value of the expression 10 − ( fraction 1 over 2 )4 ⋅ 48?

2
4
5
7

Answers

Answer 1

Answer:

The answer is 7

Step-by-step explanation:

The expression is 10-(1/2)^4 * 48

Here PEMDAS rule applies:

where,

P= parenthesis

E= exponent

M= multiplication

D= division

A= addition

S= subtraction

So according to this rule first we will solve parenthesis and exponent.(PE)

10-(1/2)^4 *48

(1/2)^4 means, multiply 1/2 four times:

1/2*1/2*1/2*1/2=1/16

Therefore the expression becomes:

10-1/16*48

Now we have MD which is multiplication and division:

1/16*48 = 3

Now after solving the multiplication and division the expression becomes:

10-3.

After subtracting the terms we have:

10-3=7

Thus the answer is 7....


Related Questions

If f(x)=5x+40, what is f(x) when x=-5

Answers

Answer: 65

Step-by-step explanation:

F(x)=5x+40 and x=5

Enter 5 for x in the equation...

F(x)=5(5)+40

F(x)=25+40

F(x)=65

f(x)=5(-5)+40
f(x)=-25+40
f(x)=15

The normal pulse rate of a 13-year-old is between 70 and 100 beats per minute. As part of a health program, the medical staff at Grant Middle School measured the resting pulse rate of 12 randomly selected students in grades 7 and 8. The box plot shows the data for each group. Which statement correctly compares the data sets?

Answers

Answer:From the box plot, it can be seen that for grade 7 students,

The least value is 72 and the highest value is 91. The lower and the upper quartiles are 78 and 88 respectively while the median is 84.

Thus, interquatile range of the resting pulse rate of grade 7 students is upper quatile - lower quartle = 88 - 78 = 10

Similarly, from the box plot, it can be seen that for grade 8 students,

The least value is 76 and the highest value is 97. The lower and the upper quartiles are 85 and 94 respectively while the median is 89.

Thus, interquatile range of the resting pulse rate of grade 8 students is upper quatile - lower quartle = 94 - 85 = 9

The difference of the medians of the resting pulse rate of grade 7 students and grade 8 students is 89 - 84 = 5

Therefore, the difference of the medians is about half of the interquartile range of either data set.

Step-by-step explanation: i hope it helps it took a long time to write!

Answer:

I hope this helps

Step-by-step explanation:


(4x2 + 7x)(5x2 – 3x)

Multiply​

Answers

Step-by-step explanation:

here is the answer for your question

Answer:

20x^4 + 23x^3 – 21x^2

Step-by-step explanation:

other answer was a bit hard to read, sorry

Line m passes through the points (3.7) and (6, 12) while line n passes
through the points (-5, 1) and (-2, 6).
Which statement accurately describes the relationship between the two
lines?

Answers

Answer:

The line n is parallel to the line m.

Step-by-step explanation:

Calculate slopes.

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Line m:

(3, 7), (6, 12)

[tex]m=\dfrac{12-7}{6-3}=\dfrac{5}{3}[/tex]

Line n:

(-5, 1), (-2, 6)

[tex]m=\dfrac{6-1}{-2-(-5)}=\dfrac{5}{3}[/tex]

The lines have the same slope. That is why they are parallel.

Nicholas has a fish tank that is 12 inches high, 14.5 inches long, and 6.5 inches wide. If he fills the tank halfway with water, how many cubic inches of water are in the tank?

Answers

Answer:

565.5 in^3

Step-by-step explanation:

To find the full volume of the tank

V = l*w*h

We know 12 inches high, 14.5 inches long, and 6.5 inches wide.

Substituting in

V = 12 * 14.5*6.5

V =1131 in ^3

He is filling it 1/2 full, that would be 1/2 of the volume

1/2 V = 1131/2 = 565.5 in^3

Answer:

answer is 565.5 in^3

Step-by-step explanation:

Which value of x makes the quotient of (5x^5+90x^2-135x)/(x+5) undefined?

Answers

Answer:

The value x=-5 makes the quotient undefined

Step-by-step explanation:

When we are looking for undefined values, we want values that make the denominator zero

x+5 =0

Subtract 5 from each side

x+5-5 =0-5

x=-5

The value x=-5 makes the quotient undefined

The perimeter of a rectangle is 215 feet. The short sides are each 24 feet long, but the lengths of the long sides are unknown. Which equation represents this situation?


24a=215

2(24)+2a=215

24+2a=215

2(24)a=215

Answers

Answer:

2 ( 24 ) + 2 a = 215

Step-by-step explanation:

Perimeter of the rectangle is 215 feet, the short sides are 24 feet long and we need to work out the long sides (we will call a long side 'a') so,

24 + 24 + a + a = 215

For this case we have to:

Let "a" be the variable that represents the length of the rectangle and let "b" be the variable that represents the width of the rectangle. Then the perimeter is given by:

[tex]P = 2a + 2b[/tex]

We have as data that:

[tex]P = 215 \ feet\\b = 24 \ feet[/tex]

Then, replacing:

[tex]215 = 2a + 2 (24)[/tex]

Answer:

Option B

6. Find the sum of the arithmetic series.
∑_(n=1)^5▒〖(9-4n)〗

7. Find the first five terms of the sequence described.

a_1=3,a_(n+1)=a_n+5

Answers

4 minutes away and you don’t wanna know what y’all want me anymore i was

100 PT QUESTION PLEASE HELP I WOULD REALLY APPRECIATE IT

Leo and Kamran go to high school together. There are a total of 1000 students in their grade. Out of the 6 periods they have, only 2 of their classes can be together. What is the percent probability that Leo and Kamran have a class together?

Answers

2/1000

0.002%

2/6

0.33%

0.002%×0.33%

The percentage of yall being in the same class is 0.00066%

Find the product. Simplify using positive exponents.


4⁴ · 4³


2² · 2⁻⁴

Answers

Answer:

Step-by-step explanation:

=4⁴ · 4³

=4^{7}

=16 384

=2² · 2⁻⁴

=2^{-2}

=1/2^{2}

=1/4

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 15 N acts on a certain object, the acceleration of the object is 5 /ms2. If the acceleration of the object becomes 9 /ms2, what is the force?

Answers

Answer:

27 N

Step-by-step explanation:

Since force varies directly with acceleration, we can introduce a constant, k, and write  [tex]F=ka[/tex]

When force is 15, acceleration is 5, so plug it into the equation and solve for k:

[tex]F=ka\\15=k(5)\\k=\frac{15}{5}\\k=3[/tex]

Now, to find force, we use a = 9 and k = 3, so

[tex]F=ka\\F=(3)(9)\\F=27[/tex]

The force is 27 N

I need help with 12.5•10•14 L•W•H

Answers

Answer:

[tex]\huge{\boxed{\text{1750 units}^{3}}}[/tex]

Explanation:

[tex]\begin{array}{cc}\text{First, multiply 12.5 by 10.}&125*14\\\text{Then, multiply 125 by 14.}&1750\end{array}[/tex]

What is the best definition of a triangle?

Answers

Answer:

A figure formed by 3 segments connecting 3 non-colinear points.

Answer:

Hi there!

The answer to this question is: C

A figure formed by three segments connecting three noncollinear points

Which of the following equations represents a line that is parallel to y = 3x +2
and passes through the point, (1,6)?

Answers

Answer:

y=3x+3 is slope-intercept form

y-6=3(x-1) is point-slope form

I don't know the form your equation(s) are in. There are other forms.

Step-by-step explanation:

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

So the slope of y=3x+2 is 3.

Parallel lines have the same slope.  So the slope of the line we are looking for has a slope of 3.

Therefore, our equation his this form y=3x+b.

We need to now find b.

We know a point (x,y) on the line.

y=3x+b using (x,y)=(1,6).

6=3(1)+b

6=3+b

Subtract 3 on both sides:

3=b

So the equation is y=3x+3

Point-slope form is another form we can put our line into

y-y1=m(x-x1)

where m is the slope and (x1,y1) is a point on the line.

We have m=3 and a point (x1,y1) on the line is (1,6).

y-6=3(x-1)

[tex]\huge{\boxed{y=3x+3}}[/tex]

It could also be [tex]\boxed{y-6=3(x-1)}[/tex]

We can use point-slope to find this.  Parallel lines have the same slope, and the given line has a slope of 3 ([tex]m[/tex] in [tex]y=mx+b[/tex]).  This means that the parallel line will also have a slope of 3.

Point-slope form is [tex]y-y_1=m(x-x_1)[/tex], where [tex]m[/tex] is the slope and [tex](x_1, y_1)[/tex] is a known point on the line.

Plug in the values. [tex]\boxed{y-6=3(x-1)}[/tex] (point-slope form)

Distribute. [tex]y-6=3x-3[/tex]

Add 6 to both sides. [tex]\boxed{y=3x+3}[/tex] (slope-intercept form)

PLZ HELP WILL GIVE BRAINLIEST!!!


Type the correct answer in each BLANK. The line of best fit represents the number of miles Jean covered at different speeds during a trip. If the speed is represented by x and the distance covered is represented by y, the equation of the best line of fit is y =(BLANK) . She covered about (BLANK) miles at the speed of 50 miles per hour.

Answers

Answer:

y=2x

100 miles

Step-by-step explanation:

The slope is determined by change of y/ change of x

when using the points (0,0)-(50,100) is

100-0/50-0= 100/50=2

so the slope is 2.

Also there is no Y intercept on the equation bc it goes through the origin.

100 miles is the y point for 50 miles per hour

Answer:

The equation of the best line of fit is y = 2x

Step-by-step explanation:

The relationship between y and x is

y = mx + c

Where m = slope of the line

And c = intercept

At 50 miles per hour she has already covered a distance of 100 miles ---- from the graph

We can use this to calculate the slope of the line using the coordinates (0,0) (50,100)

Slope m is calculated as;

m = (y2 - y1)/(x2 - x1)

Where y2 = 100, x2 = 50

y1 = x1 = 0

Substitute these values

So m = (100 - 0)/(50 - 0)

m = 100/50

m = 2

Since there's no intercept, c = 0

The equation y = mx + c becomes

y = 2x + 0

y = 2x

the function f(x) = 3,005(1+0.03)^x represents the amount of money in a savings account where x represents time in years. what does 3,005 represent? a. the amount of money in the savings account after one year b. the amount of money added to the savings account each year c. the growth rate d. the initial amount of money placed in the savings account

Answers

Answer:

Option d. the initial amount of money placed in the savings account

Step-by-step explanation:

we have

[tex]f(x)=3,005(1+0.03)^{x}[/tex]

This is a exponential function of the form

[tex]f(x)=a(1+r)^{x}[/tex]

where

a is the initial value

r is the growth rate

(1+r) is the base

x is the number of years

f(x) is the amount of money in a savings account

In this problem we have

a=$3,005

r=0.03=3%

(1+r)=1.03

therefore

3,005 represent the initial value ( the amount of money for the value of x equal to zero)

Answer:

d. The initial amount of money placed in the savings account

Step-by-step explanation:

Given function that represents the amount of money after x years,

[tex]f(x)=3005(1+0.03)^x[/tex]

Which is an exponential growth function,

Since, in a growth function,

[tex]f(x)=ab^x[/tex]

a represents the initial value,

b is the growth rate per period,

x is the number of periods,

By comparing,

a = 3005,

Hence, 3005 must be represent the initial amount of money placed in the savings account,

Option 'd' is correct.

Which expression is equivalent to 6(3+0.05)?

A. 6(3)+0.05

B. (6+3)+(6+0.05)

C. 6(3)+6(0.05)

D. 6(3)×6(0.05)

Answers

[tex]\huge{\boxed{6(3)+6(0.05)}}[/tex]

The distributive property shows that you need to multiply the [tex]6[/tex] separately by each term in the parentheses. This means you multiply [tex]6*3[/tex] and [tex]6*0.05[/tex], then add them together to get [tex]6*3+6*0.05[/tex], or in the terms of your answer choices, [tex]\boxed{6(3)+6(0.05)}[/tex].

Option C is correct. The required equivalent expression will be  6(3)+6(0.05)

Given three values A, B and C expressed as A(B+C)

Using the law of distribution

A(B+C) = AB + AC

Applying this law on the expression 6(3+0.05)

6(3+0.05) = 6(3) + 6(0.05)

hence the required equivalent expression will be  6(3)+6(0.05)

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Charlene is wrapping the box below. How much wrapping paper will she need? 7in x 9in x 5in,?

Answers

Charlene will need 286 square inches of wrapping paper to cover all six sides of the box with dimensions of 7 inches by 9 inches by 5 inches. This is found by calculating the surface area of each side and then adding them together.

To determine how much wrapping paper Charlene will need to wrap a box with dimensions 7 inches by 9 inches by 5 inches, we calculate the surface area of the box. The box has 6 sides, with each side being a rectangle. The dimensions of the sides are 7x9 inches (two sides), 7x5 inches (two sides), and 9x5 inches (two sides).

To find the total surface area, we calculate the area of each of these rectangles and then sum them together:

Area for two 7x9 sides: 2 * (7in * 9in) = 2 * 63in2 = 126in²

Area for two 7x5 sides: 2 * (7in * 5in) = 2 * 35in2 = 70in²

Area for two 9x5 sides: 2 * (9in * 5in) = 2 * 45in2 = 90in²

Adding these together gives:

Total surface area = 126in² + 70in² + 90in² = 286in²

Charlene will need 286 square inches of wrapping paper to wrap the box.

According to the graph, what is the value of the constant in the equation
below?

Answers

Answer:

The value of the constant is 0.8

Explanation:

The graph has the following properties:

Horizontal-axis (independent variable): widthVertical-axis (dependent variable): heightPoints on the curve:

        (0.5, 1.6), (0.8, 1), (1.6, 0.5), and (2, 0.4)

The equation represented by the graph is an inverse variation:

Height = constant / width.

From that equation, you can solve for the contstant:

constant = height × width

Now, you can take any ordered pair to find the constant:

(0.5, 1.6) ⇒ constant = 0.5 × 1.6 = 0.8(0.8, 1) ⇒constant = 0.8 × 1 = 0.8(1.6, 0.5) ⇒ constant = 1.6 × 0.5 = 0.8(2, 0.04) ⇒ constant = 2 × 0.4 = 0.8

Thus, you have obtained that the constant is 0.8.

what is the purpose of algebraic expressions?

Answers

Answer:

Algebraic expressions are useful because they represent the value of an expression for all of the values a variable can take on

The following set of coordinates most specifically represents which figure? (−5, 6), (−1, 8), (3, 6), (−1, 4) (6 points) Parallelogram Rectangle Rhombus Square

Answers

Answer:

Rhombus

Step-by-step explanation:

The given points are A(−5, 6), B(−1, 8), C(3, 6), D(−1, 4).

We use the distance formula to find the length of AB.

[tex]|AB|=\sqrt{(-1--5)^2+(8-6)^2}[/tex]

[tex]|AB|=\sqrt{16+4}[/tex]

[tex]|AB|=\sqrt{20}[/tex]

The length of AD is

[tex]|AD|=\sqrt{(-1--5)^2+(6-4)^2}[/tex]

[tex]|AD|=\sqrt{16+4}[/tex]

[tex]|AD|=\sqrt{20}[/tex]

The length of BC is:

[tex]|BC|=\sqrt{(-1-3)^2+(8-6)^2}[/tex]

[tex]|BC|=\sqrt{16+4}[/tex]

[tex]|BC|=\sqrt{20}[/tex]

The length of CD is

[tex]|CD|=\sqrt{(-1-3)^2+(6-4)^2}[/tex]

[tex]|CD|=\sqrt{16+4}[/tex]

[tex]|CD|=\sqrt{20}[/tex]

Since all sides are congruent the quadrilateral could be a rhombus or a square.

Slope of AB[tex]=\frac{8-6}{-1--5}=\frac{1}{2}[/tex]

Slope of BC [tex]=\frac{8-6}{-1-3}=-\frac{1}{2}[/tex]

Since the slopes of the adjacent sides are not negative reciprocals of each other, the quadrilateral cannot be  a square. It is a rhombus

Answer:

answer is Rhombus

Step-by-step explanation:

There are twelve shirts in your closet, five blue and seven green. Four of the blue shirts and one of the green shirts fit well. The others are too big. You randomly select a shirt to wear. It is blue or is too big. Find the probability of this occuring

Answers

Answer:

P (blue or too big) = 11 / 12

Explanation:

A two way table permits to represent the situation clearly and find the answser is an easy way.

The two way table is that results from the given information is:

Initial information:

                     Blue           Green         Total

Fit well             4                  1                 ?

Too big            ?                   ?                ?

Total               5                   7                12

Now by subtraction and addition you can fill the unknown fields:

                     Blue           Green         Total

Fit well             4                  1                5

Too big            1                   6                7

Total                5                   7                12

Now, you can see that there are 5 blue and 7 too big shirts, but the total number of them is 5 + 7 - 1 (because one of the too big shirts is also blue).

Then, the number of shirts being blue or too big is 5 + 7 - 1 = 11.

And the probability is :

P(blue or too big) = number of blue or too big / total number of shirts

P (blue or too big) = 11 / 12answer

You can also realize that there is only 1 green shirt that fits well, and that is the only option of not being blue of too big, so 1 /12 is the probability of not being blue or too big, and its complement (being blue or too big) is 1 - 1/12 = 11 / 12.

Which of the diagrams below represents the statement "If it is a square, then
it is a quadrilateral"?​

Answers

B is the correct answer

A quadrilateral is a polygon with 4 number of sides and 4 vertices. The correct figure is figure B.

What is a quadrilateral?

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

For the above-given condition,  "If it is a square, then it is a quadrilateral" figure B is correct because, as per the first diagram, not all the squares are quadrilateral, while as per the figure B every square is a quadrilateral.

Hence, the correct figure is figure B.

Learn more about Quadrilateral:

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The triangle below is classified as which of the following

Answers

This triangle seems like A) Scalene Acute. Brainliest meeeee!

This triangle has no sides which are the same, so this is classified as a scalene triangle.

After we have classified this triangle type, we look at the angles.

If you see the angles, all of the angles have no more than 90°. Acute is less than 90°, right is 90°, and obtuse if more than 90°.

All of the angles in this triangle is less than 90°. This means it's acute.

In conclusion, the triangle is scalene and it is acute, which means it is a scalene acute.

Of the following sets, which numbers in {1, 2, 3, 4, 5} make the inequality 3x + 1 > 4 true?
{1, 2}
{1, 2, 3}
{1, 2, 3, 4, 5}
{2, 3, 4, 5}

Answers

Answer:

{2, 3, 4, 5}

Step-by-step explanation:

3x + 1 > 4

3x > 3

x > 1.

If x = 1 the inequality is not true,

- but  2 3 4 and 5 will make the inequality true.

The numbers in 1, 2, 3, 4, 5} make the inequality 3x + 1 > 4 true is{2, 3, 4,5}

The answer is option D.

Which describes the solutions of the equation?

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system.

     ⇒3x + 1 > 4

     ⇒ 3x > 3

      ⇒  x > 1.

  If x = 1 the inequality is not true,

Therefore   2 3 4 and 5 will make the inequality true.

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Evaluate 12 sigma n=3 20(0.5)^n-1
9.99
19.95
29.98
39.96

Answers

Answer:

We have a geometric series in which:

a = 20

r = 1/2

Now, we know that: S2 = 20(1-r^2)/(1-r)  and S12 = 20(1-r^12)/1-r

Therefore:  sigma(3,12) = S12-S2  = 20[(1-r^12)/(1-r) - (1-r^2)/(1-r)]  =5115/512  = 9.99023438

Therefore, the answer is: 9.99

Answer: Is D

Step-by-step explanation:

7 × (–3) × (–2)2 = ?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{7*(-3) * (-2)(2) = ?}[/tex]

[tex]\huge\text{7 * (-3) = -21}[/tex]

[tex]\huge\text{-21 * (-2)2 = ?}[/tex]

[tex]\huge\text{-21 * -2 = 42}[/tex]

[tex]\huge\text{42(2) = ?}[/tex]

[tex]\huge\text{42 * 2 = 42 + 42 = 84}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: 84}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Can guys help me with question 4 and 5

Answers

Answer:

1. C.

2. $15.75

Step-by-step explanation:

To find the total cost of lures, multiply your cost of lures (4.25) against your total amount of lures (p).

[tex]4.25p[/tex]

To find the total cost of bobbers, multiply your cost of bobbers (1.50) against your total amount of bobbers (b).

[tex]1.5b[/tex]

To find the total cost of everything, add these two together and you'll have your equation.

[tex]4.25p+1.5b[/tex]

To find the cost given that Jake purchases 3 lures and 2 bobbers, simply plug in your numbers of lures and bobbers to the equation.

[tex]4.25(3)+1.5(2)\\12.75+3\\15.75[/tex]

Answer:

c. 4.25 *p + 1.50 b

15.75

Step-by-step explanation:

lures are 4.25 a pack and bobbers are 1.50

We want to buy p packers of lures and b  bobbers

Take the cost per each item and multiply by the number of each item

Add them together to the total cost

4.25 *p + 1.50 b

This is the cost

Let p =3 and b=2

4.25 *3 + 1.50 (2)

12.75 +3

15.75

the. expression to find the perimeter of a rectangle is 2 (lengtg+width) what is the perimeter in units of a rectangle of length 1/3 unit and width 1/2 unit​

Answers

Answer:

5/3 units  or 1 2/3 units

Step-by-step explanation:

P =2 (l+w)

We know the length = 1/3 and the width = 1/2

P = 2 (1/3+1/2)

Get a common denominator of 6

1/3 *2/2 = 2/6

1/2 *3/3 = 3/6

Therefore

P = 2(2/6+3/6)

  = 2(5/6)

   = 10/6

    =5/3 units

Changing from an improper fraction

  = 1 2/3 units

Write an equation of a line in point-slope form that is perpendicular to the line y=1/2x-7 and goes through the point (4,-3)

Answers

Answer:

y = - 2x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = [tex]\frac{1}{2}[/tex] x - 7 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, hence

y = - 2x + c ← is the partial equation of the perpendicular line

To find c substitute (4, - 3) into the partial equation

- 3 = - 8 + c ⇒ c = - 3 + 8 = 5

y = - 2x + 5 ← equation of perpendicular line

Other Questions
A rectangle has vertices at (-1,6), (-1,-2), (3,6), and (3,-2). Sara says the area of the rectangle is 16 square units and herwork is shown belowStepsStep 1Step 2Step 3Sara's WorkBase: 113-4Height: 161+F2-4Area: 4x4-16 square unitsWhere, if at all, did Sara first make a mistake in finding the area of the rectangle?Step 1Step 2Step 3no mistake Where within the Gl tract does carbohydrate digestion begin? Where is carbohydrate digestion completed? Solve the equation by using the square root property.2) (3z - 18)^2 +59 = 14 In this text, whistles like an old-fashioned kettle on the boil, is an example of a:All right then, I say, so what about Dr Clarks claim that most severe ailments have a connection with being dehydrated? Professor Hall leans back in his chair and whistles like an old-fashioned kettle on the boil. If hes trying to make the case that people are thirsty without knowing it, and if they just drank a little more they could sidestep everything from dementia to cancer, well, he better start making room on his mantelpiece for a Nobel prize. Maybe even two.A. command B request C smile D cliche What is/are the benefit(s) of short fibre reinforcements? A)Increased stiffness only. B)Increased strength and increased Toughness. C) Increased Toughness and increased flexibility. D) None of the above. The temperature of a pot of water is 90.0 C and the mass of the water is 112 g. A block with a mass of 21.0 g and a temperature of 20.0C is dropped into the water. The final temperature of the water and the block is 88.3 C. The specific heat of water is exactly 1 cal/g.C. How much heat was lost by the water? O 1.90 x10^2 cal O 35.7 cal O 7650 cal O 1.70 cal How much heat was gained by the block? O 1430 cal O 190 x10^2 cal O 35.7 cal O 68.3 cal What is the specific heat of the block? O 0.133 cal/g.C O 5.33 cal/g.C O273000 cal/g.C O0.0249 cal/g.C What are the zeros of r(p) = -p2 + 14p? AC, DF, and GI are parallel. Use the figure to complete the proportion. (7) Active listening _________ . decreases the chances of correctly understanding the information never involves feedback on the information us an innate skill that involves "reading between the lines" is a learned skill that requires focusing on the speaker is the same as hearing Consider the system of differential equations dxdt=4ydydt=4x. Convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for x from the first equation. Solve the equation you obtained for y as a function of t; hence find x as a function of t. If we also require x(0)=4 and y(0)=5, what are x and y? information on a animal grooming career? Write down the equation called the modified Raoult's law Two cars approach an extremely icy four-way perpendicular intersection. Car A travels northward at 10 m/s and car B is traveling eastward. They collide and stick together, traveling at 41.5 north of east. What was the initial velocity of car B (in m/s)? (Enter the magnitude. Assume the masses of the cars are equal.) In genetic engineering, genes are isolated and inserted into other DNA, producing recombinant DNA. To do this, both the source and the vector DNA are first cut into fragments by ____________ . Identify the person who said the following: "Impressed by...the misery and disorder which pervaded society, and fatigued with jostling against artificial fools, Rousseau became enamored of solitude.... Raised on a false hypothesis his arguments in favour of a state of nature are plausible but unsound." 7. All nutrients must be obtained from thefood we eat.a. Trueb. False Which of the following is an accurate description of manorialism?A. Manorialism allowed peasants to gain wealthB. Manorialism is a political system in which the power of lords was limited to protect peasant rightsC. Manorialism forced peasants to provide their own landD. Manorialism offered peasants land and military protection in exchange for loyalty to a lord Which is not a risk factor for a sexually transmitted infection? It can build immunity. It can be spread to others. It may be incurable. It can be fatal. A cylinder has a radius of 6 inches and is 15 inches tall. What is the approximate volume of the cylinder? Express the answer in terms of pi. Which major NIMS Component describes systems and methods that help to ensure that incident personnel and other decision makers have the means and information they need to make and communicate decisions?