Solving Square Root Worksheet (x - k)^2 Part 3
7. 4(x + 2)^2 + 320 = 0

8. 7(x - 4)^2 - 18 = 10

9. -2(x + 2)^2 - 5 = 8

10. 1/5(t + 3)^2 = 7

We have been given the 5-number summary of a box plot that represents Coins in Collection. The five-number summary from left to right is 7, 16, 30, 36, 38.

We are asked to find the inter-quartile range of the given data.

We know that interquartile range is difference of upper quartile and lower quartile.

We know that the 5-point summary represents the lower data point, lower quartile, median, upper quartile and upper data point respectively.

We can see from our given 5 point-summary that lower quartile is 16 and upper quartile is 36.

[tex]\text{Interquartile range}=\text{Upper quartile}-\text{Lower quartile}[/tex]

[tex]\text{Interquartile range}=36-16[/tex]

[tex]\text{Interquartile range}=20[/tex]

Therefore, the interquartile range of the given data is 20 and last option is the correct choice.

Answer:

here is my answers, it is just my test....

Answer:

(2x+3)(x+1)

Step-by-step explanation:

Porque si lo factorizas da ese resultado.

The factors of the polynomial are (2x + 3) and (x+1)

Given the quadratic equation expressed as:

2x^2+5x+3

We are to find the factors of the given quadratic function as shown:

2x^2+5x+3

2x^2+2x +3x +3

2x(x+1)+ 3(x+ 1)

(2x + 3)(x + 1)

Hence the factors of the polynomial are (2x + 3) and (x+1)

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Answer:

Extra 4 cups to make up 11 cups a day

Step-by-step explanation:

Here we have that Jan obtains 15% of her fluid needs from food, therefore, she gets the remaining 85 % from drinking water

If the recommended daily intake = 2.7 liters  or 91.3 oz

And she already consumes 48 oz of water and  16 oz of milk

Note milk is equivalent to 0.87 water therefore total intake = 48 + 16*0.87= 61.92 oz

She needs to take additional (91.3 - 61.92) = 29.4 oz or 3.68 ≈ 4 cups extra to meet her recommended daily dosage.

Answer:

wheres the graph and it would be match easier if I can see it

Step-by-step explanation:

....

Answer:

where is the graph

Step-by-step explanation:

please give a image next time

The number 614 belongs to the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers. It does not belong to the set of irrational numbers.

The number 614 belongs to multiple sets of numbers, including natural numbers, whole numbers, integers, rational numbers, and real numbers. It does not belong to the set of irrational numbers.

The number 614 belongs to the sets: Whole Numbers, Rational Numbers, Integers, Natural Numbers, and Real Numbers.

A. Whole Numbers: Whole numbers include all natural numbers and zero. Since 614 is a positive integer, it is a whole number. So, A is correct.

B. Rational Numbers: Rational numbers include integers and fractions. Since 614 is an integer, it is also a rational number. So, B is correct.

C. Integers: Integers include all positive and negative whole numbers along with zero. Since 614 is a positive integer, it is an integer. So, C is correct.

D. Irrational Numbers: Irrational numbers are numbers that cannot be expressed as a fraction of two integers. Since 614 can be expressed as the fraction 614/1, it is not irrational. So, D is incorrect.

E. Natural Numbers: Natural numbers include all positive integers starting from 1. Since 614 is a positive integer, it is a natural number. So, E is correct.

F. Real Numbers: Real numbers include all rational and irrational numbers. Since 614 is a rational number, it is also a real number. So, F is correct.

In summary, the correct sets for the number 614 are A, B, C, E, and F.

Answer:

  no

Step-by-step explanation:

The surface area is the sum of the areas of the faces.

There are 4 faces that are 5 cm wide. Their respective heights (from front, over the top) are ...

  1 cm, 2.5 cm, 2 cm, 2.3 cm

for a total height of 7.8 cm. Thus, those 4 faces have a total area of ...

  (5 cm)(7.8 cm) = 39.0 cm^2

__

The two trapezoidal faces each have bases of length 1 and 2 cm, and a "height" of 2.3 cm. Together, their areas are ...

  A = 2×(1/2)(b1 +b2)h = (b1 +b2)h

  A = (1 cm +2 cm)(2.3 cm) = 6.9 cm^2

__

The surface area of the entire trapezoidal prism is then ...

  total area = base area + lateral area = 6.9 cm^2 +39 cm^2

  total area = 45.9 cm^2

The student's answer of 57.4 cm^2 is not correct. (We don't know where that calculation came from.)

Answer:

when x=1, y=6. etc.

Step-by-step explanation:

x       y

1       6

2      7

3      8

4      9

Answer:

1.Robert borrowed  $ 5,500.00  

2.The amount Robert would repay next year is $ 11,576.69  

3.The interest rate on the loan is 7%

Step-by-step explanation:

The interest on the loan can be computed using compound annual growth

rate

CAGR=(EB/BB)^1/n-1

EB is ending balance of $8831.80 in year7

BB is the balance of year 5  $7714.03

n=7-5=2

CAGR=(8831.8/7714.03)^(1/2)-1

CAGR==1.070000427-1

CAGR=0.070000427

CAGR=7%

The amount borrowed can be computed using the PV formula

At year 0 year 5 amount of $7714.03 is the future value

rate of interest is 7%

number of years is 5

PV=$7714.03*(1+7%)^-5

PV=$ 5,500.00  

The amount Robert would pay next year is :

FV=$10,819.338(1+7%)^1

FV=$ 11,576.69  

Answer:

[tex]y = 7x + 4 \\ y - 4 = 7x \\ \frac{y - 4}{7} = \frac{7x}{7} \\ x = \frac{y - 4}{7} [/tex]

hope this helps you....

Answer:

x = y-4

        7

Step-by-step explanation:

y = 7x + 4

y- 4 = 7x

[tex]\frac{y-4}{7}[/tex] =x

Answer:

11

Step-by-step explanation:

|-7|+|-4|

-|-7|-|-4|

Answer 11

Answer:

11

Step-by-step explanation:

can i pls have brainlist i really need it to level up plss

Answer:

The distance that represents it is 651.9 m.

Step-by-step explanation:

In order to calculate the distance that the wheel travelled we need to find the length of the circumference of the wheel. This is given by the following formula:

length = 2*pi*r = pi*d

Since the diameter of the wheel is 0.6 m we can find the length of the wheel that is:

length = 3.14*0.6 = 1.884 m

The wheel made 346 full turns, that means that the total distance is the number of turns multiplied by the length of the wheel.

distance = 346*1.884 = 651.9 m

The distance that represents it is 651.9 m.

Answer:

1182 mg  to the nearest mg.

Step-by-step explanation:

22% is equivalent to 260 mg sodium, so

100% is equivalent to  260 * (100/22)

= 1181.82 mg.

what is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Examples of percentages are:

10% is equal to 1/10 fraction

20% is equivalent to ⅕ fraction

25% is equivalent to ¼ fraction

50% is equivalent to ½ fraction

75% is equivalent to ¾ fraction

90% is equivalent to 9/10 fraction

Given,

Dave determines the meal he ordered at the restaurant contains 22% of his daily sodium intake

Meal contains 260 mg of sodium

22% is equivalent to 260 mg sodium, so

100% is equivalent to  260 x ([tex]\frac{100}{22}[/tex])

= 1181.82 mg.

22% is equivalent to 260 mg sodium, so

100% is equivalent to  260 * (100/22)

= 1181.82 mg.

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Answer:

Elephant 14%

Panda 18%

Tiger 29%

Bonobo 39%

Step-by-step explanation:

Divide each number by 2400 then multiply the answer by 100.  

The percentage of elephants, pandas, tigers, and bonobos are 14%, 18%, 29%, and 39% respectively.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

The zoo has some new exhibits.

In a survey, 2400 zoo attendants are asked to choose their favorite.

From the table:

The total number of animals = 336 + 432 + 696 + 936 = 2400

Percentage of Elephant = (336/2400)x100 = 14%

Percentage of Panda = (432/2400)x100 = 18%

Percentage of Tiger = (696/2400)x100 = 29%

Percentage of Bonobo = (936/2400)x100 = 39%

Thus, the percentage of elephants, pandas, tigers, and bonobos are 14%, 18%, 29%, and 39% respectively.

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Answer:

B

Step-by-step explanation:

Answer:

-5 + 10n = -85

10n = -80

n = -8

Answer:

= -8

Step-by-step explanation:

-5(1 - 2n)=-85

(-5(1)) + (-5(-2n)) = -85

-5 + 10n = -85

10n = -85 + 5

10n = -80

n = -80/10

n = -8

Given:

Two cubes are rolled together.

To find the probability that the sum of the numbers on the number cubes will equal 4.

Formula

P(A) = [tex]\frac{x}{y}[/tex]

where, A be any event.

x be the number of successful outcomes

y be the total number of outcomes

Now,

If the two cubes are rolled together, total number of outcomes = 36

In total outcomes, the sum of the numbers of cube will be 4 for (1,3),(3,1) and (2,2)

So, the number of successful outcomes = 3

Now,

Putting x=3 and y = 36 we get,

[tex]P(A) = \frac{3}{36}[/tex]

or, [tex]P(A) = \frac{1}{12}[/tex]

Hence,

The probability that the sum of the numbers on the number cubes will equal 4 is [tex]\frac{1}{12}[/tex]. Option D.

Answer:

0.045714286

Step-by-step explanation:

The chance of it being snowy is 16/50, or 0.32. And the chance of that day being Monday out of 7 days over the week is 1/7, or 0.143. Then the chances that the first day of winter will be a snowy Monday is 0.32*0.143 = 0.045714286

Answer:

A- roll and spin 50 times. Roll on a 3 AND land on red

Step-by-step explanation:

Answer:

a = 3.1

b = 3.2

Step-by-step explanation:

I did the quiz

Answer:

a =  

✔ 3.1

b =  

✔ 3.2

Step-by-step explanation:

Answer:

40.6

Step-by-step explanation:

Pretty sure a complementary angle is 90 so 90-49.4=40.6

Answer:

y = -2x-1

Step-by-step explanation:

y = -2x+b

5 = -2(-3)+b

5 = 6+b

-1 = b

Using the formula given in the question, we can solve for the area.

h = 10

b1 = 20

b2 = 8

Now, solve with the given values.

1/2(10)(20 + 8)

5(28)

140

Therefore, the area is 140 square feet.

Best of Luck!

Answer:

If he maintains the same rate he'll hit 180 home runs over the next three seasons.

Step-by-step explanation:

If he maintains the same rate of homeruns per season as he did in 1987 the number of home runs he'll hit over the next three seasons is the rate from 1987 multiplied by 3. We have:

number of home runs = 3*rate

number of home runs = 3*60

number of home runs = 180

If he maintains the same rate he'll hit 180 home runs over the next three seasons.

Answer:

The answer to your question is Cost of a serving = $0.62

Step-by-step explanation:

Data

diameter = 3.5 in

height = 5 in

each serving = 15 in³

Cost of the can = $1.99

Process

1.- Calculate the volume of the can

Volume = πr²h

-Substitution

Volume = (3.14)(3.5/2)²(5)

-Simplification

Volume = (3.14)(3.062)(5)

-Result

Volume = 48.08 in³

2.- Use proportions and cross multiplication to find the cost of a serving.

                   48.08 in³ ---------------- $1.99

                         15  in³ ----------------  x

                          x = (15 x 1.99)/48.08

                          x = 29.85/48.08

                          x = $0.62

Answer:

The area of the triangle is 7.5 unit²

Step-by-step explanation:

Here we have the coordinates given as

(-3, 5) (-3, 8) and (2, 5)

Let us call the points A = (-3, 5)

B = (-3, 8) and

C = (2, 5)

Therefore the lengths of the sides of the triangle are

AB = a =  [tex]\sqrt{(-3-(-3))^2+(5-8)^2} = 3[/tex]

AC = b = [tex]\sqrt{(-3-2)^2+(5-5)^2} = 5[/tex]

BC = c = [tex]\sqrt{(-3-2)^2+(8-5)^2} = \sqrt{34}[/tex]

Therefore the Area can be derived from Heron's formula which is

A =  [tex]\sqrt{s\times (s-a)\times (s-b)\times (s-c)}[/tex] where s = semi perimeter or (a + b + c)/2

Therefore, plugging the values, we get

s =   (3 + 5 + √34)/2 = 6.9155≈6.92

A =  [tex]\sqrt{6.92\times (6.92-3)\times (6.92-5)\times (6.92-\sqrt{34} )}[/tex] = 7.499≈7.5.

Answer:

67.5 square units

Step-by-step explanation:

The points (-3, 5) and ( -3, 8) form a vertical segment, and the points (-3, 5) and ( 2, 5) form a horizontal segment, so the triangle has a right angle.

The base of the triangle is the segment formed by the points (-3, 5) and ( 2, 5), and their distance is:

D1 = sqrt((-3-2)^2 + (5-5)^2) = 5

The height of the triangle is the segment formed by the points (-3, 5) and ( -3, 8), and their distance is:

D2 = sqrt((-3+3)^2 + (5-8)^2) = 3

If the triangle is dilated by a scale of 3, so the base is D1*3 = 15 and the height is D2*3 = 9, then the area is:

The area of a triangle is Base * Height / 2, so we have that:

Area = 15 * 9 / 2 = 67.5 square units

Answer:

x = -16

Step-by-step explanation:

x + 7 = -9

x = -9 - 7

x = -16

Answer:

X=-16

Step-by-step explanation:

If you add -16 Then add a positive 7 you will end up with a -9

Have a great day

Answer:

540

Step-by-step explanation:

5•180= 900

900 - 360 =540

Answer:

540 degrees

Step-by-step explanation:

Answer:

Maybe A hopefully its the correct answer

Answer:

Complete question statement is;

n 2009, the worlds largest pumpkin weighed 1,725 kilograms. An average sized pumpkin weighs 5000 grams. The 2009 world record pumpkin weighs ___ kilograms more than the average sized pumpkin

Step-by-step explanation:

The answer to this is that world record pumpkin weighs 1720 kilograms more than the average sized pumpkin

In one kilogram, there are 1,000 grams i

so 5,000 grams means to be equivalent to 5 kilograms.

Now since we are in same metric units, we can now compare the largest weight and the average weight which would be;

= 1725 - 5

= 1720 kilograms

So the difference between largest weighed and average weighed pumpkin is 1720 kilograms

Final answer:

The world-record pumpkin weighs 13.5 kilograms more than an average-sized pumpkin, with the weight of the average pumpkin being 0.243 kilograms and the approximate world-record weight being 13.7 kilograms.

Explanation:

To solve how many kilograms more the world-record pumpkin weighs than an average-sized pumpkin, we need to calculate the difference in their weights. Given that an average-sized pumpkin weighs 243 grams, which is equivalent to 0.243 kilograms (since 1 kg = 1000 g), we need to know the weight of the world's largest pumpkin in kilograms.

We're given that the least precise measurement is 13.7 kg. Assuming that the world-record pumpkin weighs this amount, we subtract the mass of the average pumpkin (0.243 kg) from the world-record pumpkin mass (13.7 kg).

So the calculation is:

13.7 kg - 0.243 kg = 13.457 kg

To express our answer to the same precision as the least precise measurement, we round it to the tenths place. Therefore, the world-record pumpkin weighs 13.5 kilograms more than an average-sized pumpkin when rounded to the nearest tenth of a kilogram.

Answer:

N78

Step-by-step explanation:

The explanation is in the picture

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