Given area of a rectangle: 7x^2+57x+8
Find Perimeter:

Answers

Answer 1

Answer:

Perimeter of the rectangle is 16x+18 units.

Step-by-step explanation:

The area of rectangle is

[tex]7x^2+57x+8[/tex]

First we have to find the factor form of above expression.

Splitting the middle term, we get

[tex]7x^2+56x+x+8[/tex]

[tex]7x(x+8)+1(x+8)[/tex]

[tex](x+8)(7x+1)[/tex]

Area of a rectangle is the product of its dimensions. It means dimensions of the rectangle are (x+8) and (7x+1).

Perimeter of a rectangle is

[tex]Perimeter=2(l+b)[/tex]

[tex]Perimeter=2[(x+8)+(7x+1)][/tex]

[tex]Perimeter=2[8x+9][/tex]

[tex]Perimeter=16x+18[/tex]

Therefore, the perimeter of the rectangle is 16x+18 units.


Related Questions

Brainliest for whoever gets this right!

Please help ASAP!

Find the inequalities which describe the regions that’s shaded

Answers

Answer:

The lines that make up this region are y = 5 (light blue line), x = 2 (green line) and y = x (purple line). The graph tells us that the answer is y ≤ 5, y ≥ x and x ≤ 2.

Answer:

Green: x is less than or equal to 2

Purple: y is greater than or equal to x

The horizontal line near the top is y=6, so the blue shaded area below is y is less than or equal to 6

Step-by-step explanation: Solid lines mean equal to or < >

Sorry my keyboard doesn't have the real symbol for those.

Since the y-intercept for the purple area is 0, there is no constant to enter in the slope-intercept form: y=mx+b And since the slope is 1, there is no coefficient with x.

A sample of 30 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their favorite color patterns were.The counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern. These data can be graphically displayed by a bar graph. Which graph below correctly displays the data from the list and the table? A. Graph A B. Graph B C. Graph C D. Graph D

Answers

Answer:

C

Step-by-step explanation:

It looks to me possibly C

hope it helps you

A graph is a way to represent a lot of data in a visual format. The graph which correctly displays the data from the list and table is graph c.

What is a graph?

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The bar graph that can represent the given situation will have the name of the color pattern on the x-axis, while the number of students who choose the pattern will be listed on the y-axis.

Since the last pattern is the yellow pattern, therefore, it should be on the leftmost side of the equation and must have the smallest candle. while the first candle should be the second-largest candle as it is selected by only four students. Since the second candle and the third candle has the value of 6 and 12. Therefore, the length of the third candle should be half of the length of the second candle.

Now, the only graph that fits these criteria is graph C.

Hence, the graph which correctly displays the data from the list and table is graph c.

Learn more about Graph:

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you can buy a 47 pound bag of flour for $11 or you can buy a 1 pound bag of flour for $0.45. Compare the per pound cost for the large and small bags.​

Answers

Answer:

Step-by-step explanation:

$11/ 47 pound = $0.234 for 1 pound

the cost of buying 47 pound for 11 dollars is cheaper than to buy individual 1 pound bag for 0.45.

Answer:

First, let's find the unit price.

$11 ÷ 47 = $0.23 per pound.

$0.45 ÷ 1 = $0.45 per pound.

As you can see here, the 1 pound bag(smaller bag) clearly costs more per pound. The 47 pound bag(larger bag) costs less.

We can also put the values on a number line to compare.

          $0.23               $0.45

      (larger bag)    (smaller bag)

<-|---------o---------------------o---------|------------------------------------------|->

$0                                         $0.50                                           $1

As you can see, the larger bag is closer to zero.

Hence, the larger bag is the better buy.

Hope this helped!

-Emma

Help!! What is the area?

Answers

Answer:

203in²

Step-by-step explanation:

split up the shape into three rectangles

5in × 14in = 70

9in × 7in = 63

5in × 14in = 70

70 + 63 + 70 = 203in²

The answer is 203in squared

100 POINTS

The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Donna drew the line of best fit on the graph. What would most likely be the approximate height of the plant after 8 weeks?

11.0 centimeters
9.25 centimeters
8.8 centimeters
7.4 centimeters

Answers

Answer:7.4cm

Step-by-step

The approximate height of the plant after 8 weeks is 5.8 centimeters.

Given that:

The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x.

Donna drew the line of best fit on the graph.

From the graph, the line of best fit passes through the points (0, 1) and (5, 4).

Now find the equation of the line passing through these points.

The slope of the line is:

m = (4 - 1) / (5 - 0)

   = 3/5

The equation of the line can be written as y = 3/5 x + c.

Now, substitute one of the points, let it be (0, 1).

1 = c

So the equation is y = 3/5 x + 1.

Now, after 8 weeks, x = 8.

y = 3/5 (8) + 1

  = 5.8

Hence the height is approximately 5.8 centimeters.

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the value of x is __?

Answers

If cos x = sin (20 + x ) degrees and 0 degrees < x < 90 degrees , the value of x is ___ degrees
cos x = sin (20 + x)

sin and cos are CO-FUNCTIONS, which means that: cos x = cos [90 - (20 + x)]

cos x = cos (90 - 20 - x)

cos x = cos (70 - x)

Therefore, x = 70 - x

x + x = 70

2x = 70

3/25 of the current delivered to an induction motor is wasted as reactive current.
Express this fraction in decimal form.

Answers

Answer: 0.12

Explanation:

3/25 = 0.12

Answer:

0.12

Step-by-step explanation:

3/25= 12/100

12/100=0.12

Find the outlier in the set of data.(
17, 13, 16, 18, 38, 14, 21, 24

A. 38
B. 14
C 16
D 17

Answers

The answer is A (38)

Answer:

38

Step-by-step explanation:

An outlier is a data point on a graph or in a set of results that is much bigger or smaller than the next nearest data point. The numbers given are within 1-3 points away from the previous number, except for 38, which is 14 points away from 24. Organize the numbers in order from least to greatest to see this better.

13, 14, 16, 17, 18, 21, 24, 38

I need help awnsering these questions please get to me soon as you can

Answers

Answer:

Answer is given below with explanations.

Step-by-step explanation:

[tex]1)volume \: of \: cylinder = \pi \: {r}^{2} h \\ here \: radius \: (r) = 3 \: m \\ and \: height \: (h) = 8 \: m \: \\ volume \: of \: cylinder = \pi \: \times {3}^{2} \times 8 \\ \: \: = \pi \ \times 9 \times 8 \\ \: \: = 72\pi \\ \: \: = 226.195 \: {m}^{3} \\ 2)volume \: of \: pyramid \: = \frac{1}{3} \times base \: area \times height \\ base\: area = 25 \times 16 \\ \: \: = 400 \: {ft}^{2} \\ volume \: of \: pyramid \: = \frac{1}{3} \times400 \times 45 \\ \: \: = 6000 \: cubic \: feet \\ 5) \: volume \: of \: cone = \frac{1}{3 \: } \pi \: {r}^{2} h \\ here \: radius \: (r) = 6.2 \: m \: \\ height \: (h) = 6.8 \: m \\ volume \: of \: cone = \frac{1}{3 \: } \pi \: \times {6.2}^{2} \times 6.8 \\ \: \: = 273.73 \\ 6) \: volume \: of \: hemisphere \: = \frac{2}{3} \pi \: {r}^{3} \\ here \: radius \:( r) = 6 \: in \\ volume \: of \: hemisphere \: = \frac{2}{3} \pi \: {6}^{3} \\ \: \: = 452.39 \: cubic \: inches[/tex]

Questions are not clearly visible for me.

So forgive me.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

in 1997 the population of a small town was 900. If the annual rate of increase is about 0.6% which value below expresses the population five years later?

Answers

Answer:

[tex]927[/tex]

Step-by-step explanation:

[tex]900 \times (1+0.6\%)^5[/tex]

[tex]900 \times (1+0.6/100)^5[/tex]

[tex]900 \times (1+0.006)^5[/tex]

[tex]900 \times (1.006)^5[/tex]

[tex]900\times \:1.03036[/tex]

[tex]927.32594[/tex]

Answer:

927

Step-by-step explanation:

Total Population = 900

Annual rate of increase = 0.6 % of 900

=> [tex]\frac{0.6}{100}* 900[/tex]

=> 0.6 * 9

=> 5.4

Rate of increase in 5 years = 5 * 5.4

= 27

Population after five years = 900+27

=> 927

HELP ME NOW PLSSSSSS

Answers

Answer:

A-2/9

Step-by-step explanation:

assuming he has 3 each of nickles, dimes and quarters, because its says "equal number of coins each)

3x3=9

he only made two draws and he and needs 2 coins to make $.30. He could chose 1 nickle and 1 quarter.

so I think it would be 2/9

Answer:

5/9

Step-by-step explanation:

Hello,

To continue on the same logic as for other questions, let s check the possible outcomes, they are 9

First draw  second draw  sum of the value  Is it >= 30c?

dimes   dimes   20  

dimes   nickels   15  

dimes   quarters          35      Yes

nickels   dimes   15  

nickels   nickels   10  

nickels   quarters          30      Yes

quarters          dimes   35      Yes

quarters          nickels   30      Yes

quarters          quarters          50      Yes

For only 5 the sum is >= 30c

so the probability is 5/9

hope this helps

a coin lands on heads 200 times. the relative frequency of heads is 0.4 ? how many times was the coin thrown???????≈⊃ to whoever answer this question i know that u guys will see the points i have given and say this is sooooo crazzzzy. i will give points to u guys because it is my birthday guys. pleases write me nice comments. i love u all have a nice day everyone.

Answers

the coin was thrown 500 times :)

Answer:

The answer is 500 times

Step-by-step explanation:

hope this helps you

Multiply. -5•-1/7•4/8. Write your answer in simplest form.

Answers

Answer:

5/14

Step-by-step explanation:

Multiply.

(-5 × -1 × 4) / (7 × 8)

20/56

Simplify.

5/14

Answer:

The answer is [tex]\frac{5}{14}[/tex].

Step-by-step explanation:

1. -5 × [tex]\frac{-1}{7}[/tex] =  [tex]\frac{5}{7}[/tex]

2.  [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]

3. Simplify:

[tex]\frac{20}{56}[/tex]  = [tex]\frac{5}{14}[/tex]

What is the slope of the line described by the equation below y=-6x+3

Answers

Answer:

[tex]-6[/tex]

Step-by-step explanation:

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

[tex]m[/tex] is the slope of the line.

[tex]b[/tex] is the y-intercept.

[tex]y=-6x+3[/tex]

[tex]m=-6[/tex]

[tex]-6[/tex] is the slope of the line.

Answer:

-6

Step-by-step explanation:

The given equation is:

y = -6x+3

The standard slope-intercept equation is:

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

Where m is slope and c is y-intercept

Comparing the given equation with standard form, we get:

Slope = m = -6

In the graph above what’s the distance between (5,3) and (5,-2)

Answers

Answer:

5

Step-by-step explanation:

The distance is 5 because when you count out the units on the graph, it is 5 apart.

To double check, you could also use distance formula, which would give you √25, which is also 5

Answer:

5 units

Solution,

Let the points be A and B

A(5,3)----->(X1,y1)

B(5,-2)------>(x2,y2)

Now,

[tex]ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: \: = \sqrt{ {(5 - 5)}^{2} + {( - 2 - 3)}^{2} } \\ \: \: \: = \sqrt{ {(0)}^{2} + {( - 5)}^{2} } \\ \: \: \: = \sqrt{0 + 25} \\ \: \: \: = \sqrt{25} \\ \: \: \: = \sqrt{ {(5)}^{2} } \\ \: \: \: = 5 \: units[/tex]

hope this helps .....

Good luck on your assignment...

A triangle has the coordinates A( 4, –1), B(3, –3), and C(0, 2). Reflect the triangle over the y-axis and find the coordinates of its image.

Answers

Answer:

Step-by-step explanation:

For greater clarity, graph this triangle.  If this triangle is reflected about the y-axis, the point C(0, 2) remains a vertex.  The point B(3, -3) becomes D(-3, -3).  Finally, the point A(4, -1) becomes E(-4, -1).

Answer:

A(4,-1)-> A'(-4,-1) .   B(3,-3)->B'(-3, -3) .  C(0,2) -> C' (0,2)

Step-by-step explanation:

Select the statements that are true.

Answers

Answer:A And B

Step-by-step explanation:

The true stetement is:

The standard deviation of B is greater than the standard deviation of A.

1. The interquartile range (IQR) is a measure of the spread of the data. Since the new brand with only 74% of kernels popped has the lowest percentage, including it in the data set B would likely increase the range of values and therefore increase the interquartile range.

Therefore, this statement is false.

2. The mean is affected by the values of the data set, and including the package with the least kernels popped in data set B would likely lower the overall mean compared to data set A. Therefore, this statement is false.

3. Adding the package with the least kernels popped to data set B might shift the median to a lower value compared to data set A. Therefore, this statement is false.

4. Including the package with the least kernels popped in data set B would increase the spread of the data because it introduces a lower value compared to the other percentages. Therefore, this statement is false.

5. Including the package with the least kernels popped in data set B would likely increase the variability and spread of the data, leading to a greater standard deviation compared to data set A.

Therefore, this statement is true.

6. Including the package with the least kernels popped in data set B would likely shift the center of the data towards a lower value due to the lower percentage. Therefore, this statement is false.

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PLZ HELP 50 POINTS AND BRAINLIEST!!!!!!!! Karen has a large pile of colored rods. Each color is a different length. She is trying to connect different colored rods to make triangles as part of a hanging sculpture. Here is a list of rod lengths.
Red: 3 inches
Orange: 4 inches
Yellow: 5 inches
Green: 7 inches
Blue: 9 inches
Purple: 12 inches

1. How many triangles can she make with them if each side is a different color? List the combinations that work.



2. Karen was just trying different combinations of colored rods one at a time, placing the colored rods together to see if they make a triangle. What method did you use to determine the triangle options? Which method do you think is better and why?

Answers

Answer:

9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

Step-by-step explanation:

We need to consider The Triangle Inequality Theorem which states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Let's see what are the possible combinations:

3+4= 7 so possible 3rd side is 5

3, 4, 5 or ROY

3+5= 8 so possible 3 rd side is 7

3, 5, 7 or RYG

3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)

3, 7, 9 or RGB

3+9= 12 so possible 3rd side is 7, see one above

3+12= 15 so possible 3 rd side is none

4+5=9 so possible 3rd side is 7

4, 5, 7 or OYG

4+7= 11 so possible 3rd side is 9

4, 7, 9 or OGB

4+9= 13 so possible 3rd side is 12

4, 9, 12 or OBP

5+7= 12 so possible 3rd side is 9

5, 7, 9 or YGB

5+9= 14 so possible 3rd side is 12

5, 9, 12 or YBP

7+9= 16 so possible 3rd side is 12

7, 9, 12 or GBP

So the possible 9 combinations are:

RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

How many integers are between sqrt 37 and 5*sqrt 11?

Answers

Answer:

There are 10 integers between the given values

Step-by-step explanation:

We start by finding approximations of the two real values given that include square roots of non-perfect-square numbers:

[tex]\sqrt{37} \approx6.0827[/tex]

then this point is located in between the integers 6 and 7 on the x-axis.

[tex]5\,\sqrt{11} \approx 16.58[/tex]

therefore, it is located between the integers 16 and 17 on the number line.

Then between [tex]\sqrt{37}[/tex], and [tex]5\,\sqrt{11}[/tex], we have the following integers:

7, 8, 9, 10, 11, 12, 13, 14, 15, 16.

That is 10 integers

If f(x) = x ^ 2 is vertically compressed by a factor of 9 to g(x) , what is the equation of g(x) ?

Answers

Answer:

[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers

Step-by-step explanation:

A vertical compression by a factor 9 is represented by the transformation:

[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]

Therefore the answer to the problem is:

[tex]g(x) = \frac{1}{9} \,x^2[/tex]

Add. 7/4+9/-5 wrote your answer as a fraction in simplest form

Answers

Answer:

7/4 + 9/-5 =

Since the denominator of the second fraction is negative the sign will change from negative to positive

We will get

7/4 - 9/5

First find the LCM

LCM of 4 and 5 is 20

7/4 - 9/5 = 5(7) - 4(9)/ 20

Simplify

We get

35 - 36/20

= -1/20

Hope this helps

Answer:

-1/20

Step-by-step explanation:

7/4 + -9/5

We need a common denominator, which is 20

7/4 *5/5   + -9/5 *4/4

35/20  + -36/20

Add the numerators together

-1/20

Find the ratio that is equivalent to 3:8. A. 8:11 B. 5:8 C. 6:16 D. 8:10

Answers

Answer:

c-6:16

Step-by-step explanation:

[tex]\frac{3}{8}[/tex]=[tex]\frac{6}{16}[/tex]

all you need to do is multiply by 2 but they are proportional/equivalent

Answer:

i would say it C 6 16

Step-by-step explanation:

because i said so

HURRY!!!! Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth. 270 degrees a. (1, 0) c. (0, -1) b. (0, 1) d. (-1, 0)

Answers

Answer:

The answer is c. (0,-1)

Step-by-step explanation:

So the unit circle is derived from a right triangle.

Need some help I have the first bit

Answers

Answer:

y = [tex]\frac{3}{5}[/tex]x + 3

Step-by-step explanation:

First, find the slope with rise/run

This gets you 3/5

Then, find the y intercept, which is (0, 3)

The equation will be

y = [tex]\frac{3}{5}[/tex]x + 3

Answer:

Brainleist!!!

Step-by-step explanation:

see picture!

Given:
MNOP is a parallelogram
Prove:
PM  ON
(For this proof, use only the definition of a parallelogram; don’t use any properties)

Answers

Answer:

Proved: PM ≅ ON

Step-by-step explanation:

A parallelogram is a quadrilateral with two opposite sides equal and parallel.

Find attached the diagram obtained from the information

From the above definition, quadrilateral MNOP is a parallelogram if:

Line MN is parallel to Line OP

Line ON is parallel to Line PN

From the diagram

Line MN is parallel to Line OP

Side MN is = side OP

Line ON is parallel to Line PN

Side ON is = side PN

Since the geometric size is equivalent

PM ≅ ON

Where ≅ means congruent to

Proved.

Which number is a multiple of 6 and 8

Answers

Answer:

The lowest number that is a multiple of 6 and 8 is 24.

Step-by-step explanation:

6, 12, 18, 24.

8, 16, 24.

Out of the given numbers, 24 is the multiple of 6 and 8. Hence, the option (3) is correct.

Let's check for all the given options:

1) 3: 3 is divisible by neither 6 nor 8 hence it is not a multiple of both.

2) 18 : 18 is divisible by 6 but not divisible by 8. Hence, this option is not correct. Since we have to find a number which is divisible by 6 as well as by 8.

3) 24: 24 is divisible by 6 as well as by 8. Hence, this option is correct.

4) 2: 2 is neither divisible by 6 nor by 8. Hence, this option is not correct.

Hence, the correct option is (3).

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If K parallel to L find the value of a and the value of b.

Answers

Answer:

[tex]a = 30[/tex]

[tex]b = 40[/tex]

Step-by-step explanation:

Given

The attached triangle

Such that K is parallel to L

Required

Find the value of a and b

From the properties of parallel triangles;

Provided that k is parallel to l, then

[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]

[tex]60a = 40(a+15)[/tex]

Open Bracket

[tex]60a = 40*a+40*15[/tex]

[tex]60a = 40a+600[/tex]

Subtract 40a from both sides

[tex]60a - 40a = 40a - 40a + 600[/tex]

[tex]20a = 600[/tex]

Divide both sides by 20

[tex]\frac{20a}{20} = \frac{600}{20}[/tex]

[tex]a = \frac{600}{20}[/tex]

[tex]a = 30[/tex]

Similarly;

[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]

[tex]60b = 40(b+20)[/tex]

Open Bracket

[tex]60b = 40*b+40*20[/tex]

[tex]60b = 40b+800[/tex]

Subtract 40b from both sides

[tex]60b - 40b= 40b - 40b + 800[/tex]

[tex]20b= 800[/tex]

Divide both sides by 20

[tex]\frac{20b}{20} = \frac{800}{20}[/tex]

[tex]b = \frac{800}{20}[/tex]

[tex]b = 40[/tex]

Find the y value for the point that divides the line segment CD into a ratio of 4:1.

Segment CD is shown. C is at 9, 6 and D is at 5, 1.

2
6.2
3
2.8

Answers

Answer:

Y = 2

Step-by-step explanation:

For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.

Then point of division is given by

(n*x1+m*x2)/ m+n,  (n*y1+m*y2)/ m+n

________________________________

Given point

c = (9,6)

d = (5,1)

ratio = 4:1

using the above formula , point of division is

x= (1*9+4*5)/ 4+1                     y=  (1*6+4*1)/ 4+1

x= (9+20)/ 5                             y=  (6+4)/ 5

x= 29/ 5                                    y=  10/ 5 =2

Thus, answer is y = 2

Answer:

2 is correct

Step-by-step explanation: I got it right on test

For what values of the variables are the following expressions defined? •18/y

Answers

Answer:

function 18/y is defined for all values of y such that [tex]y \in R, y\neq 0[/tex]

Step-by-step explanation:

given data

number = 18/y

solution

in given value 18/y

If y=0, the function will be Undefined.

Because, the function is undefined if its denominator = 0

so that if we determine the function is defined, we will find out for what values the function is undefined and remove it

so, the function 18/y is defined for all values of y such that

[tex]y \in R, y\neq 0[/tex]

A catcher's and a pitcher's uniform numbers are consecutive integers whose product is 306. If the catcher's was the smaller number, determine the uniform number of each player. catcher's number pitcher's number

Answers

Answer:

Catcher's number = 17

Pitcher's number = 18

Step-by-step explanation:

Let two consecutive numbers be represented by x and (x + 1)

Hence,their product

= x(x + 1) = 306

= x² + x - 306 = 0

We factorise

= x² + 18x - 17x - 306 = 0

= x(x + 18) - 17(x + 18) = 0

= (x + 18)(x - 17) = 0

x + 18 = 0 = -18

x - 17 = 0 = 17

x = 17 and -18

Our answer can't be a negative integer

Hence x = 17

The second consecutive integer = x + 1

= 17 + 1 = 18

Hence the uniform numbers are 17 and 18.

We are told in question that: If the catcher's was the smaller number, determine the uniform number of each player.

Therefore,

The Catcher's uniform number = 17

The Pitcher's uniform number = 18

Other Questions
Rogelio paints watercolors. He got a $100 gift card to the art supply store and wants to use it to buy 12 inch by 16 inch canvases. Each canvas costs $10.99. What is the maximum number of canvases he can buy with his gift card Phil has $20,000, part of which he invests at 8% interest and the rest at 6%. If the total income from the two investments was $1460, how much did he invest at 6%? An access control strategy that gives a user or group of users only those powers which are absolutely essential to do the job required is called the: a. principle of least privilege. b. principle of user control. c. principle of essential power. d. group level rule. A box contains 99 green marbles and 1212 white marbles. If the first marble chosen was a green marble, what is the probability of choosing, without replacement, a white marble? Express your answer as a fraction or a decimal number rounded to four decimal places. 1(32)2=2n what is n? this might be hard to do but I need help asap!! ty Urgent!!!!!! Read the passage from What Does the Pursuit of Happiness Mean in the Declaration of Independence? Because happiness was widely considered a natural state for humans in the Jeffersonian era, it was believed to be what God intended and therefore deserved protection. The words proximity to two other natural rightsliberty and lifedemonstrates that Jefferson found happiness just as important. The legal and social frameworks provided by the Declaration and the Constitution are meant to create that protection. If a large house makes you happy, for example, then another person shouldnt be able to set it on fire; there are laws against that. Whats more, an individual shouldnt legally be kept from pursuing that large house. Which response most accurately explains how the author helps the reader understand the full meaning of the phrase pursuit of happiness in the passage? What Does the Pursuit of Happiness Mean? He provides historical context by explaining that happiness was regarded as ones birthright and should be protected from others who may impinge upon it. He ranks the natural rights of life, liberty, and the pursuit of happiness, showing which are most and least important. He describes the components of the Constitution that protect individuals rights to pursue their own concept of happiness. He uses an example of a large house to show what can be gained from the pursuit of happiness. An increase in average temperature around the planet is known as: A: sea level B: weather acceleration C: Global Warming D: Climate elevation PLEEEEEEEEEEEASE HELP The function f(n) represents an arithmetic sequence where the first term is 5 and each term increases by 5. What is f(8)? Record adjusting journal entries 100 of the following for year ended December 31Assume no other adjusting entries are made during the yearSalaries Payable.: At year-end, salaries expense of $24,000 has been incurred by the company, but is not yet paid to employees. Interest Payable: At its December 31 year-end, the company owes $675 of interest on a line-of-credit loan. That interest will not be paid until sometime in January of the next year. Interest Payable: At its December 31 year-end, the company holds a mortgage payable that has incurred $1,300 in annual interest that is neither recorded nor paid. The company intends to pay the interest on January 7 of the next year. 2. An arc is a smooth piece of a circle. A major arc of a circle is an arc that islonger than half the circumference of the circle. Find the measure of the major arc ABC GOSolve:10= 2a. x = 5B. x = 10C. X = 20d. x = 15Please select the best answer from the choices provided How can there be further research on viruses and how can it be improved? on the first floor between the four bedroom _1. a landing2. a hall3.an atticon the first floor outside each bedroom there is a stone_1. verandah2. hall3. balconysome of the doorways have _ round them and some are plain1. steps2.carving3.shutters answer this excercise...please class 4 find the surface area of sphere please help me ill give u brainlest Write the complete balanced equation for the neutralization reaction that occurs when aqueous hydroiodic acid, HI, and sodium hydrogen carbonate, NaHCO3, are combined. Include physical states. A cylinder has radius R = 3.7 and height H = 5.6 both measured in inches. What is the volume of this cylinder measured in cm3? (Hint: The volume of a cylinder is given by V=\pi R^2HV = R 2 H.) if (5,k) is a solution of 2x+y-6=0,then find the value of k. Which scenario is the best example of a paradox? A. A couple has a huge house with dozens of rooms and fills them up with guestsB. A businessperson believes in working hard but makes money by taking shortcutsC. A single man has lots of friends and never finds himself sad or lonelyD. A rich girl has everything she could ever want and is very happy The heights of 10 year old children has a normal probability distribution with mean of 54.6 inches and standard deviation of 5.7 inches. What is the approximate probability that a randomly selected 10-year old child will be more than 51.75 inches tall? Group of answer choices 0.69 0.31 0.62 0.67 0.93 Find the difference 6/19-9/17