The mean of 10,12,16,20,p,26 is 17.Find the value of p.

Answers

Answer 1

there are 6 numbers total

17 * 6 = 102

10 + 12 + 16 + 20 + 26 = 84

p = 102-84 = 18

p = 18

Answer 2

Answer: " p = 18 " .
__________________________________________________
Explanation:
__________________________________________________
The [arithmetic] mean =

{the sum of all the values in the data set}
divided by {the number of values in the number set} ;
__________________________________________________
→ 17 = (10 + 12 + 16 + 20 + 26 + p) / 6 ;

__________________________________________________
→ (10 + 12 + 16 + 20 + 26 + p) = 17 * 6 ;

→ (p + 84) = 102

Subtract "84" from each side of the equation;
to isolate "p" on one side of the equation; & to solve for "p" ;

→ p + 84 – 84 = 102 – 84 ;

→ p = 18 .
_________________________________________________

The answer is: " p = 18 " .
_________________________________________________

Related Questions

Translate the following and then create real-world problems using these
expressions.
“6 less than a number”
“2 times the quotient of a number and two”
“4 times the difference of a number and 8”

Answers

1. x - 6; Mark has 6 less dollars than Kim. Let x be the number of dollars Kim has.

2. 2(x/2); Robert lost half his money in the stock market last week, and then doubled that amount this week.

3. 4(x - 8); 4 people spent $8 on a movie. How much money (x) did each person have before seeing the movie?

The area of a soccer field at 7700 yd.². The width of the field is 70 yards. What is the perimeter of the field?

Answers

Since you know the area and the width, you can divide the area by the width to find the length. This gives you a length of 110 yards. To find the perimeter of the soccer field, you would add all the side lengths together. Since the width is 70, you would add 70 + 70, along with the length, 110 + 110. This gives you a perimeter of 360.

In the diagram, m<2 = 123 degrees. Find m<3.

Answers

<2 = 123
<3 = 180 - 123
<3 = 57

answer is A. 57

Which graph represents the function?

Answers

The bottom factors to (x - 30(x + 2) so there are asymptotes at x = -2 and x = 3. Also y intercept id at (0,1) so its either graph 2 or graph 4.
Between x = 0 and x = 3 y is increasing so the correct graph is Graph 2.

Of course, I would just graph it on Desmos.com or my graphing calculator and be done.

f(x) can be factored as
.. f(x) = (x -6)(x +1)/((x -3)(x +2))

so will have zeros at x = {-1, 6}, vertical asymptotes at x = {-2, 3}, and sign changes at all of those points.

The Upper Right graph is the only one with the zeros and asymptotes in the right places.

Which equation represents the magnitude of an earthquake that is 100 times more intense than a standard earthquake?

Answers

we know that
the magnitude of an earthquake s
M=log[I/S]
where
I----------> is the intensity of the earthquake
S---------> is the intensity of a standard earthquake

in this problem
I=100S
then
M=log[100S/S]
this equation represents the magnitude of an earthquake that is 100 times more intense than a standard earthquake

M=log(100)-----------> M=2
The magnitude of this earthquake is 2 on the Richter scale

Final answer:

To represent an earthquake that is 100 times more intense than a standard earthquake, an increase of 2 on the Richter scale is required due to the logarithmic nature of the scale.

Explanation:

The magnitude of an earthquake that is 100 times more intense than a standard earthquake would be represented by an increase of 2 on the Richter scale. This scale is logarithmic, meaning that each whole number increase on the Richter scale represents a tenfold increase in amplitude. To be 100 times more intense, we need a tenfold increase for each magnitude, so an increase from, for example, magnitude 3 to 5 would represent an earthquake that is 100 times more intense.

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Please help me out!! :)

Answers

We need to find the area of the regular polygon as shown in the image.

Now in a regular hexagon the line joining the center and the vertex of a hexagon have the same length as the length of each side. (Refer the attached image)

[tex]10 \sqrt3cm=10 \times 1.732=17.32 cm[/tex]

A regular hexagon is made up of 6 equilateral triangles inside which means all the sides are of the same length.

Now, we know that the length of a side of an equilateral triangle is [tex]10 \sqrt 3[/tex] cm. So the area of one equilateral triangle is:

[tex]\frac{\sqrt 3}{4} \times (a)^2[/tex]

Where, 'a' is the side length of the equilateral triangle.

Therefore, area [tex]= \frac{\sqrt 3}{4} \times (10 \sqrt3)^2= \frac{\sqrt 3}{4} \times 100 \times 3=75 \sqrt3[/tex] square centimeters.

Now that we have the area of one equilateral triangle and there are 6 of them in a regular hexagon we can find the area of hexagon.

So, the area of given regular polygon is [tex]=6 \times 75 \sqrt 3=450 \sqrt 3 cm^2[/tex].

ABCD∼EFGH

AD=45 in. , EH=75 in. , and AB=30 in.

What is EF ?

Enter your answer in the box.

EF =
in.

Also Triangle ABC undergoes a series of transformations to result in triangle DEF .

Is triangle DEF congruent to triangle ABC ?

Select Congruent or Not congruent for each description.

Description Congruent Not congruent
Triangle ABC is rotated 90° clockwise, and then reflected over the line y=x to form triangle DEF.
Triangle ABC is reflected over the x-axis, and then dilated by a factor of 12 to form triangle DEF.
Triangle ABC is rotated 180°, and then translated 4 units down and 2 units right to form triangle DEF.

and
A point at (−1, 10) is rotated 90° counterclockwise about the origin.

What are the coordinates of the resulting image?

(−1, −10)

(1, −10)

(−10, −1)

(10, 1)

Answers

1. For similar triangles, the ratio of the corresponding sides is constant.
In this case, AD corresponds to EH, while AB corresponds to EF.
Therefore; AD/EH = AB/EF
45/75 = 30/ EF
EF = (30×75)/45
= 50 in

2. Triangle DEF is not congruent ABC.
For congruent triangles; if three pairs of sides are equal in length, then the triangles are congruent. Also triangles are congruent if two pairs of angles of the triangle are equal in measurement, and the included sides are equal in length, then the triangles are congruent.

3. Triangle ABC is rotated 90° clockwise, and then reflected over the line y=x to form triangle DEF. This description is Congruent.
Triangle ABC is reflected over the x-axis, and then dilated by a factor of 12 to form triangle DEF. Description not congruent
Triangle ABC is rotated 180° , and then translated 4 units down and 2 units right to form triangle DEF. The description is Congruent

4. A point (-1,10) is rotated 90° counterclockwise about the origin.
The resulting coordinates of the image is (-10,-1)
A rotation through 90 about the origin is anticlockwise (counter clockwise direction)

Write a explicit equation for the sequence 6,18,54,162,...

Answers

we have that

6,18,54,162,...

we know that
a1=6
a2=18
a3=54
a4=162

a2/a1=18/6--------> 3
a3/a2=54/18-------> 3
a4/a3=162/54------> 3

therefore

a(n+1)=an*3
a1=6
for n=1
a(1+1)=a1*3---------> a2=a1*3--------> a2=6*3------> a2=18

for n=2
a(2+1)=a2*3---------> a3=a2*3--------> a3=18*3------> a3=54

for n=3
a(3+1)=a3*3---------> a4=a3*3--------> a4=54*3------> a4=162

therefore

the equation for the sequence is
a(n+1)=an*3

what is the value of x
plz do not guess will mark brainlist do not comment any questions evrey thing you need is up there just post the answer

Answers

The value of x can be found using the sine function.

sin 30 = x/8
8 (sin 30) = x
4 = x

Given a polynomial f(x), if (x + 7) is a factor, what else must be true?
A) f(0) = 7
B) f(0) = −7
C) f(−7) = 0
D) f(7) = 0

Answers

When (x + 7) is a factor, f(-7) = 0. Thus, option C is correct: f(-7) = 0.

When the polynomial f(x) has (x + 7) as a factor, it implies that when x is replaced by -7, f(x) becomes zero.

This follows from the factor theorem which states that if (x - c) is a factor of a polynomial f(x), then f(c) = 0.

Therefore, to satisfy this condition, f(-7) = 0.

Consequently, option C, stating that f(-7) = 0, must be true when (x + 7) is a factor of f(x).

Thus, the correct answer is C) f(-7) = 0.

how do you simplify x^2-4x-21 divided by x+3

Answers

We can factor x^2-4x-21 to get (x+3)(x-7)

Notice how
3 plus -7 = -4
3 times -7 = -21
which helps us factor the trinomial

After you've factored it, we can cancel out a pair of (x+3) terms leaving us with the final answer of x-7

Note: the cancellation happens because (x+3)/(x+3) = 1. Divide anything (except 0) over itself and you'll get 1. A simpler example of this is 5/5 = 1.

Explain why the equation x^2+y^2=1 does not define y as a function of x

Answers

A vertical line crosses the graph of it in two places. When that is true, the relation does not meet the definition of a function. A function must be single-valued for each distinct value of the independent variable.

function by definition can have only one possible y value for any given x value.

So take x = sqrt (5)
Substituting into the equation we get:
y^2 = (sqrt 5)^2 - 1
y^2 = 5 - 1
y^2 = 4

So what y value, when it is squared, gives us 4? It could be either 2 or -2. So there are two y-values that match one x value and the equation is not a function.

x^2 + y^2 = 4 is actually the equation for a circle with center at the origin and a radius of 2. Try graphing it by hand by choosing x = 0, -2, and 2 to get four points on the circle. Unless they specify that X Does not equal to one, then this isn't a function. Say X DOES = 1 then you'd have 1/(1^2-1) which would give you 1/0 which isn't a function. So like the other have said, it IS a function UNLESS x=1 Hope that helps!

I need some help on this triangle similarity proof in Geometry!

Answers

I believe that this is correct if anything is unclear/blurry just ask and i will tell u what i wrote

Ron is five years older than twice his cousin Pat’s age. The sum of their ages is less than 35. What is the greatest age that Pat could be? 7,8, or 10? Please more then one response so I know its right,

Answers

To make this problem simple, let's make Pat's age be 'a' for age. So is Ron is 5 years older than double a, Ron is 2a+5 years old. If their ages added together are less that 35 we have a + 2a + 5 < 35 Simplifying by collecting like terms, 3a +5 < 35 and subtracting 5 from each side, 3a<30 dividing each side by 3, a<10 So the greatest age Pat could be is infact 9 (as his age has to be less than 10)

Math question!!! PLEASE HELP

solve for x in the triangle
a. 1.7
b. 2.6
c. 2.7
d .3.0

Answers

the answer is a because I looked it up

If the sin 60° = square root of three over two, then which statement is true? (6 points)

cos 30° = square root of three over two, because the cosine and sine are complements
cos 30° = 0, because the cosine and sine are complements
cos 120° = square root of three over two, because the cosine and sine are supplements
cos 120° = 0, because the cosine and sine are supplements

Answers

The first one, which states that cos(30 deg) are complements

Answer: The answer is (a) cos 30° = square root of three over two, because the cosine and sine are complements

Step-by-step explanation: Given that -

[tex]\sin 60^\circ=\dfrac{\sqrt 3}{2}.[/tex]

we are to select the correct statement from the given four options.

We know that sine and cosine functions are supplement of each other. So, we have

[tex]\sin 60^\circ=\cos(90^\circ-60^\circ)=\cos 30^\circ=\dfrac{\sqrt 3}{2}.[/tex]

Thus, the correct option is (a) cos 30° = square root of three over two, because the cosine and sine are complements.

Which net represents this solid figure?

Answers

The bottom left one creates the rectangle

Answer:

Bottom Left.

Step-by-step explanation:

Did it got 100%! Thanks so much! Your welcome! Have a great week!

Find the surface area of the cylinder to the nearest tenth of a square unit with a radius of 3cm and a height of 18.2 cm. use 3.14 for pi.

Answers

To find the area of this cylinder, you will need to find the area of each circular base and the area of the curved surface. The curved surface is in the shape of a rectangle when laid out flat.

The formula used to find the surface area is 2 x pi x r^2 (area of the faces) + pi x d x h (area of the curved surface which is the diameter times the height).

Substitute the values in and it would be 2 x 3.14 x 3 x 3 + 3.14 x 6 x 18.2. The surface area would be approximately 399.4 square cm. This is approximate because pi is rounded.

Final answer:

The surface area of a cylinder with a given radius of 3 cm and height of 18.2 cm is calculated using the formula 2πr(height + r), which results in approximately 400.1 square centimeters.

Explanation:

The question asks to find the surface area of a cylinder with a radius of 3 cm and a height of 18.2 cm, using 3.14 for pi. The formula for the surface area of a cylinder is 2πr(height + r), where r is the radius, and the height is the vertical dimension of the cylinder.

Plugging in the given values:

Radius (r) = 3 cmHeight = 18.2 cmPi (π) = 3.14

We get: Surface Area = 2 * 3.14 * 3 * (18.2 + 3) = 2 * 3.14 * 3 * 21.2 = 400.1 cm²

Therefore, the surface area of the cylinder, rounded to the nearest tenth, is 400.1 square cm.

Which of the following is a perfect square? 18 81 50 32

Answers

Answer:

The correct answer is 81

Step-by-step explanation:

Here are all the perfect squares.

1 2 1 × 1 1

2 2 2 × 2 4

3 2 3 × 3 9

4 2 4 × 4 16

5 2 5 × 5 25

6 2 6 × 6 36

7 2 7 × 7 49

8 2 8 × 8 64

9 2 9 × 9 81 81 Is a perfect square!

10 2 10 × 10 100

11 2 11 × 11 121

12 2 12 × 12 144

Can I have brainliest please?

Write a trinomial in one variable of degree 5 in standard form.

Answers

A polynomial of one-variable is given by following expression :-

[tex] Ax^n + Bx^{n-1} +Cx^{n-2}+Dx^{n-3}+Ex^{n-4}+..... [/tex]

where A, B, C, D, E are the coefficients of terms in the polynomial and x is variable of the equation.

A is the leading coefficient and it can not be zero i.e. A≠0.

n is the degree of the polynomial.

It says to write a trinomial in one variable of degree 5.

Trinomial means only three terms with non-zero coefficients, and degree 5 means n = 5.

There could be many answers, but an example of "trinomial of degree 5" would be :-

[tex] Ax^5 + Bx^4 + Cx^3 [/tex]

[tex] 3x^5 + 5x^4 + 2x^3 [/tex]

A trinomial in one variable of degree 5 in standard form is [tex]$ ax^5 + bx^3 + cx $,[/tex] where [tex]$ a $, $ b $, and $ c $[/tex] are non-zero coefficients and [tex]$ a \neq 1 $[/tex].

A trinomial is a polynomial with three terms. The degree of a polynomial is the highest power of the variable that appears in the polynomial with a non-zero coefficient. Since we are asked to write a trinomial of degree 5, the highest power of the variable x must be 5.

The standard form of a polynomial lists its terms in descending order of their degrees. Therefore, the first term of our trinomial must be [tex]$ ax^5 $,[/tex] where a is a non-zero coefficient, and [tex]$ a \neq 1 $[/tex] to ensure that the coefficient is explicit.

Since we want a trinomial, we need two more terms. The next term should have a lower degree, and since we're dealing with a degree 5 polynomial, the next possible lower odd degree is 3 (we choose an odd degree to maintain the trinomial structure with distinct powers). This gives us the second term [tex]$ bx^3 $,[/tex] where b is also a non-zero coefficient.

The third and final term of our trinomial must have a degree lower than 3. The next possible lower odd degree is 1, which gives us the term [tex]$ cx $,[/tex] where c is again a non-zero coefficient.

Putting it all together, we have the trinomial [tex]$ ax^5 + bx^3 + cx $[/tex] as the standard form of a degree 5 polynomial with three terms.

(15,-9) is dilated by a scale factor of 3 what is its new location

Answers

For this case what you should do is follow the following transformation:
(x, y) ---> k (x, y) ---> (kx, ky)
Applying the transformation to the ordered pair we have:
(15, -9) ---> 3 (15, -9) ---> ((3) * (15), (3) * (- 9)) ----> (45, -27)
Answer:
its new location is:
(45, -27)

Suppose the number of dropped footballs for a wide receiver, over the course of a season, are normally distributed with a mean of 16 and a standard deviation of 2.

What is the z-score for a wide receiver who dropped 13 footballs over the course of a season?

A. −3
B. −1.5
C. 1.5
D. 3

Answers

The z-score is -1.5.

The formula to calculate a z-score is:
[tex]z=\frac{X-\mu}{\sigma}[/tex]

where X is the value we're calculating the z-score for, μ is the mean and σ is the standard deviation.

Using our information we have:
[tex]z=\frac{13-16}{2}=\frac{-3}{2}=-1.5[/tex]

The correct answer is option B. -1.5.

To calculate the z-score for a wide receiver who dropped 13 footballs over the course of a season, we use the z-score formula:

z = (X - μ) / σ

where:

X is the value to be standardized (13 footballs in this case)μ is the mean (16 footballs)σ is the standard deviation (2 footballs)

Substitute the values into the formula:

z = (13 - 16) / 2

This simplifies to:

z = -3 / 2 = -1.5

Therefore, the z-score for a wide receiver who dropped 13 footballs is B. -1.5.

What is the value of the 5 in 3 590 answer in words

Answers

The value is five hundred

Which of the following is an example of inductive reasoning?
A)Math seems fun so you conclude that everyone loves math.
B)All of your friends love math so you conclude that everyone loves math.
C)All of your friends love math. Jo loves math, therefore Jo is your friend.
D)You love math. Jo doesn't love math. Jo is not your friend.

Answers

The correct answer is Choice A

Inductive reasoning takes into consideration all available fact, and puts them together to reach a valid conclusion. The other statement contain an error of logic, but choice A has a logical conclusion based on the premise.

Answer:

The answer is A

use substitution to solve 3x-2y=11 and x+2y=9

Answers

Solve the second equation for 2y.
.. 2y = 9 -x
Substitute that into the first equation.
.. 3x -(9 -x) = 11
.. 4x -9 = 11
.. 4x = 20
.. x = 5
Using our expression for 2y above,
.. 2y = 9 - 5
.. y = 4/2 = 2

The solution is (x, y) = (5, 2).

A rectangular Corn Hole area at the recreation center has a width of 5 feet and a length of 10 feet. If a uniform amount is added to each side, the area is increased to 84 square feet. What is the amount added to each

sidhttps://s3.amazonaws.com/algebranation/testyourself_uploads/MAFS7/7.043.pnge?

Answers

1. The formula for calculate the area of a rectangle, is:

A=LxW

A is the area of the rectangle
L is the length of the rectangle.
W is the widht of the rectangle

2. You have that:

-The rectangular Corn Hole area has a width of 5 feet and a length of 10 feet, so:

L1=10 feet
W1=5 feet

- When a uniform amount is added to each side (x), the area is increased to 84 feet². Then, you have a different length (L2) and a different width (W2):

3. The new length is:

L2=L1+x+x
L2=L1+2x
L2=10+2x

4. The new width is:

W2=W1+x+x
W2=W1+2x
W2=5+2x

5. The new area is:

A2=84 feet²

6. Then, you have:

A=LxW
84=(10+2x)(5+2x)

7. When you apply the distributive property, you obtain a quadratic equation:

4x²+30x-34=0

8. You can solve with by applyin the quadratic formula:

x=(-b±√(b^2-4ac))/2a

a=4
b=30
c=-34

9. Then, the answer is:

x=1 feet

Answer:

I can't believe this guy above me has a verified answer and it is wrong.... anyway the true answer to this is 2. I checked it myself when I put 1 as the answer and got this question wrong, and it showed me the correct answer is 2 so don't believe the verified answer.

Step-by-step explanation:

Review Question #7:

The answer to this question is 2ft, not 1ft.

This is because:

So the width of the second rectangle can be represented by 10+2x, and the length of the second rectangle can be represented by 5+2x. Lets make 2x equal y to make things easier though. Because the product of both 10+2x and 5+2x is 84 square feet, we must multiply the two equations together first.

(10+y)(5+y)=84

This then equals:

50+10y+5y+y^2=84

Then add the like terms:

y^2+15y+50=84

Then set the equation to zero by subtracting 84 from both sides:

y^2+15y-34=0

From that, you can use the box method, or any method to get:

(y+17)=0 and (y-2)=0

Which would then simplify to:

y=-17 and y=2

However, we substituted y for 2x, so plug 2x into y:

2x=-17 and 2x=2

Then simplify from here:

x=-17/2 and x=1

The answer cannot be negative, so that means the answer is x=1, however, even though this is true, the answer is that 2ft was added to EACH SIDE, because the question was asking for what amount was added to each side.

Which is the equation of a line that is perpendicular to the line represented represented by y = 3/4x - 1/2 ?

Answers

It will be
.. y = -4/3x +c . . . . . for some value of c

_____
The slope of the perpendicular line will be the negative reciprocal of the slope of the given line, which is 3/4.

The equation of a line that is perpendicular to the given line is y = -4/3x + c.

What is equation of a line?

The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.

For the given situation,

The equation of a line is y = 3/4x - 1/2 ------ (1)

The general form of equation of line in slope intercept form is

[tex]y=mx+c[/tex]

On comparing the equation 1 with general form,

Slope of the line, [tex]m=\frac{3}{4}[/tex]

Then, the slope of the line perpendicular to the given line is [tex]\frac{-1}{m}[/tex]

⇒ [tex]\frac{-1}{m}=\frac{-1}{\frac{3}{4} }[/tex]

⇒ [tex]\frac{-1}{m}=\frac{-4}{3}[/tex]

No points were defined that this 'normal' should pass through, so its intercepts are indeterminate.

Thus the equation of line in slope intercept form is

[tex]y=\frac{-4}{3}x+c[/tex]

Hence we can conclude that the equation of a line that is perpendicular to the given line is y = -4/3x + c.

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Let set A = {1, 3, 5, 7} and set B = {1, 2, 3, 4, 5, 6, 7, 8}

Which notation shows the relationship between set A and set B?
@ganeshie8,

Answers

Since all the elements of A are also elements of B, but there are elements in B that are not also in A, we can say that A is a proper subset of B, mathematically A⊂B

Factor the expression. x2 – 10xy + 24y2

Answers

To solve this problem you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

x²-10xy+24y²

2. When you factor the expression x²-10xy+24y², you obtain the following:

(x-4y)(x-6y)

3. To verify the result you can apply the distributive property and the result must be x²-10xy+24y².

Therefore, the answer is: (x-4y)(x-6y)

Answer:

the answer is: (x-4y)(x-6y)

Step-by-step explanation:

# 11 let f(x) =x^2 and g(x) =x-1. find (f o g)(-3)

#12 let f(x)= 5x+3 and g(x) =x^2-x+1
preform the function operating then find the domain.
g(x)-f(x)

Answers

Problem 11

g(x) = x-1
g(-3) = -3-1 .... plug in x = -3
g(-3) = -4

Plug this into f(x)

Now compute f(-4)
f(x) = x^2
f(-4) = (-4)^2
f(-4) = 16

Answer: 16

=======================================================

Problem 12

f(x) and g(x) are two polynomials. When subtracting any two polynomials, we end up with some other polynomial. This idea is known as set closure. Set closure is where you take two items from one set, apply an operation to them, and the result is another item from the same set. Another example of this is adding two whole numbers. Adding two whole numbers leads to another whole number.

So in short, h(x) = g(x)-f(x) is a polynomial

The domain of any polynomial is the set of all real numbers. We can plug in any x value we want to get some output value for y.

Let's find the result of g(x)-f(x)

g(x) - f(x) = [ g(x) ] - [ f(x) ]
g(x) - f(x) = [ x^2-x+1 ] - [ 5x+3 ]
g(x) - f(x) = x^2-x+1 - 5x-3
g(x) - f(x) = x^2-6x-2

Domain: Set of all real numbers

Other Questions

PLZZZZ HELP ME!!!! U WILL GET 30 POINTS!!!!After a juvenile has been taken into custody, which of these is the next step in the judicial process that must be taken? A. adjudicatory hearing B. probable cause hearing C. a verdict must be rendered D. he/she must be released to the parent/guardian find the approximate surface area of a bowling ball with a raius of 5 inches A scientist is testing the effectiveness of Drug X on cancer. She gives a small amount of the drug to mice that have cancer. She gives each mouse a different amount from 1 to 10 grams, and then measures the size of the tumor in each mouse before the drugs and two weeks after the drugs. She gives one of the mice sugar instead of Drug X. What is her control in this experiment? Natasha wants to treat her friends to the movies. The tickets cost $11 each and she also wants to spend $21 worth of popcorn and candy for her friends to share. She can spend under $131. Write an inequality to represent how many people she can treat to the movies Convert -1.2 repeating as a mixed number Can you please answer this? If a pilot is converting standard time to UTC time and is given the time 1730 UTC, what would EST be? How could you beat restate this question to encourage yourself to ask questions rather than simply collect information Help please been stuck on this for a week. What two nations gained land that had been part of germany? Which function has a domain of all real numbers except x=/2 n? A.y=secx B.y=cosx C.y=1/sinx D.y=cotx, Which of the following best describes the music of the Rococo period? A.Heavily contrapuntal lines B.Lush, flowing melodies C.Light and graceful tunes D.Dramatic statements A scientist studied four pieces of fossil evidence that show the evolution of the modern-day man. These date back to 2 million years, 1 million years, 0.5 million years, and 0.25 million years ago. Which fossil is the least similar to the modern-day man? 7. Why is it difficult to create accurate maps of Earth? (1 point) It is impossible to accurately depict the actual size of objects on Earth's surface. There is an inherent difficulty in depicting any three-dimensional object in a two-dimensional format. Maps always exaggerate the relative size and importance of European countries. The surface of Earth is constantly changing.8. In what way is geography an integrative science? (1 point) Geography is an integrative science because it examines Earth in both physical and human terms. Geography is, Why does Friar Lawrence agree to marry Romeo and Juliet? He thinks it will bring the two fighting families together. He has always had a soft spot for young love. He wants to help Romeo get over Rosaline. He is tricked by Romeo; he doesn't know the marriage is a secret. Which generallzation can most logically be made from this passage? All night, they had walked silently. The mules were flagging. The wind blew hard. Their stomachs, empty since yesterday, no longer made noise. The girl walked numbly on, as in a trance. She could no longer feel the earth beneath her feet.Why would the author most likely include this passage at the beginning of a story? A.To set up a conflict among the main characters B.To establish the motivation of the main character C.To identify the story as an example of a particular tradition D.To make the reader question what is happening in the story After mars the next most likely candidates for life in the solar system are How did the Munich Conference relate to Germany's attempts to annex Czechoslovakia? 6. Which of these BEST describes our current understanding about how species evolve over time? A) As organisms use certain traits more frequently, each organism evolves over time. B) Populations of organisms evolve rapidly due to genetic changes brought about by random mating patterns. C) Traits that result in a greater number of mutations occur more frequently, causing the population to evolve. D) Populations evolve as natural selection results in a change in the frequency of alleles within the population over time. 7) A change in a sequence of DNA bases in a bacterial cell has resulted in a mutation. This mutation has increased the ability of the bacteria to break down and digest organic molecules in the environment. Bacteria with this mutation are better able to find and utilize food sources. According to the theory of natural selection, what is MOST likely to occur in future generations of this bacteria? A) The relative frequency of the mutation will increase as time passes. B) Because the mutation has changed the DNA of the bacteria, a new species will be formed. C) Because the mutation is abnormal, the mutation will become more rare with every passing generation. D) Bacteria with the mutation will increase in number until the food supply is exhausted, causing the bacteria to become extinct.