What fraction is equivalent to the expression
21
16
÷
7
4
?

Answer:

50= 2x2x5 is the prime factorization of 50.

The value of the probability is P(Large or Blue) = 7/10

The given parameters are represented on the table

Using the table parameters, we have

P(Large or Blue) = [(Large) + (Blue) - (Large and Blue)]/Total

This gives

P(Large or Blue) = ((17 + 8) + (17 +3) - 17)/(17 + 3 + 8 + 12)

This gives

P(Large or Blue) = 28/40

Simplify

P(Large or Blue) = 7/10

Hence, the value of the probability is P(Large or Blue) = 7/10

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Answer:

-15

Step-by-step explanation:

Replace c with 2,

(2)^2 -8(2) -3 =

4 - 16 -3 + -12

= -15

Answer:

The distance between w=1+2i and z=3-i is 3.61

Step-by-step explanation:

We need to find the distance between w=1+2i and z=3-i

The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=1, y_1=2, x_2=3, y_2=1[/tex]

We will use only real numbers and not i for calculating distance.

Putting values and finding distance

[tex]Distance=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\Distance=\sqrt{(1-3)^2+(-1-2)^2} \\Distance=\sqrt{(-2)^2+(-3)^2} \\Distance=\sqrt{4+9} \\Distance=\sqrt{13}\\Distance=3.61[/tex]

So, The distance between w=1+2i and z=3-i is 3.61

Answer:

  1500z

Step-by-step explanation:

Given a bacteria population that is multiplied by z every hour, and the population after 2 hours is 1500, you want the population after 3 hours in terms of z.

The problem statement tells you the population is multiplied by z every hour. After 2 hours, the population is 800 +300 +400 = 1500. After 3 hours, that value will be multiplied by z:

  1500z . . . . . population after 3 hours

__

Additional comment

The given values of population tell us z = 1100/800 = 1.375 for the first hour, and z = 1500/1100 ≈ 1.364 for the second hour. The average value of z for the two-hour period is √(15/8) ≈ 1.369. The desired expression could be any of ...

Presumably z would have different values in each case, and we hesitate to predict what those values might be. Perhaps the population is being rounded to the nearest 10 or 100.

An exponential regression calculation models the population as ...

  p = 801.945×1.36812^t . . . . . . . z ≈ 1.36812

Using this formula, we get the given population numbers by rounding to the nearest 10.

Answer:

1,080

Step-by-step explanation:

QUICK MATH

Answer:

21 minutes or 8:21 a.m

Step-by-step explanation:

6+15=21

why the grade tent truck fico duck session duck duck drink dunno rbi Thu to ft ft ft ft tho

Answer:

the probability to flip a head is 50%

Step-by-step explanation:

I think.

Answer:

(a) B ∩ D' = {k}

(b)  (B ∪ D)' = {s}

Step-by-step explanation:

Set Notation

[tex]\begin{array}{|c|c|l|} \cline{1-3} \sf Symbol & \sf N\:\!ame & \sf Meaning \\\cline{1-3} \{ \: \} & \sf Set & \sf A\:collection\:of\:elements\\\cline{1-3} \cup & \sf Union & \sf A \cup B=elements\:in\:A\:or\:B\:(or\:both)}\\\cline{1-3} \cap & \sf Intersection & \sf A \cap B=elements\: in \:both\: A \:and \:B} \\\cline{1-3} \sf ' \:or\: ^c & \sf Complement & \sf A'=elements\: not\: in\: A \\\cline{1-3} \sf - & \sf Difference & \sf A-B=elements \:in \:A \:but\: not\: in \:B}\\\cline{1-3} \end{array}[/tex]

Given sets:

Part (a)

[tex]\begin{aligned}\sf B \cap D' & = \sf B \cap \left( \text{U}-D\right)\\ &= \sf \{k, q, x, y \} \cap \left(\{f, k, q, s, x, y, z \} - \{f, q, x, y, z \}\right)\\& = \sf \{k, q, x, y \} \cap \{ k, s \}\\ & = \sf \{k \}\end{aligned}[/tex]

Part (b)

[tex]\begin{aligned}\sf \left(B \cup D\right)' & = \sf \text{U}-\left(B \cup D\right)\\& = \sf \{f, k, q, s, x, y, z \}-\left(\{k, q, x, y\} \cup \{f, q, x, y, z\}\right)\\& = \sf \{f, k, q, s, x, y, z \}-\{ f, k, q, x, y, z\}\\& = \sf \{s\}\\\end{aligned}[/tex]

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Now we have to find,

→ B ∩ D'

→ (B ∪ D)'

Let's solve for the following sets,

a) B ∩ D' = ?

→ B ∩ D'

→ {k, q, x, y} ∩ ({f, k, q, s, x, y, z} - {f, q, x,y,z})

→ {k, q, x, y} ∩ {k, s} = {k}

Hence, the required set is {k}.

b) (B ∪ D)' = ?

→ B' ∩ D'

→ ({f, k, q, s, x, y, z} - {k, q, x, y}) ∩ ({f, k, q, s, x, y, z} - {f, q, x, y, z})

→ {f, s, z} ∩ {k, s} = {s}

Hence, the required set is {s}.

158.93 yd³ water it would take to completely fill the swimming pool.

Given that, a swimming pool has a volume of 32,100 gal and we have to find out that how many cubic yards of water it would take to completely fill the swimming pool.

1 cubic yard (yd³) ≈ 201.97 gallon (gal)

So, by using the conversion given above we can simply find the water in cubic yards that it would take to completely fill the swimming pool.

Volume of the swimming pool = 32,100 gal

and we know that, 1 cubic yard (yd³) ≈ 201.97 gallon (gal)

Now, we get

water needed in cubic yards to completely fill the swimming pool

= 32,100/201.97

= 158.93 yd³

Hence, 158.93 yd³ water it would take to completely fill the swimming pool.

Therefore, 158.93 yd³ is the required answer.

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Answer:4.16667

Step-by-step explanation: 1

Simplify —

3

Equation

0 - (— • (8 + —))

2 3

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Adding a fraction to a whole

Rewrite the whole as a fraction using 3 as the denominator :

8 8 • 3

8 = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

8 • 3 + 1 25

————————— = ——

3 3

Equation at the end of step

2

:

1 25

0 - (— • ——)

2 3

STEP

3

:

1

Simplify —

2

Equation at the end of step

3

:

1 25

0 - (— • ——)

2 3

STEP

4

:

Final result :

-25

——— = -4.16667

6

Terms and topics

More Icon

Answer:

Step-by-step explanation:

Since lines 1 and 2 are parallel, <2=<6 because corresponding angles of parallel lines are congruent. <8 is the vertical angle of <6 meaning it's equal to <6. <8=115 degrees. <7 is the supplement of <6 and therefore 180-<6=<7. 180-115=65.

Answer:

32/3 servings

Step-by-step explanation:

4 / (3/8) =

(4/1) x (8/3) =

32/3

Answer:

what am i supposed to be answering..?

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

8x - 3(2x-4) = 3(x-6)

first let's get rid of the brackets:

8x- 3·2x + 3·4 = 3x - 3·6

8x - 6x + 12 = 3x - 18

now group all the x terms and number terms

8x - 6x - 3x = -18 - 12

-x = -30

x = 30

Answer:

4-2=2

Step-by-step explanation:

Answer:

7 mph

Step-by-step explanation:

i took the same test on edg

Answerits the point that divides the segment into two congruent segments

Step-by-step explanation:

ex. D————-o————-G

The midpoint would be the O. Mid:means Middle

hehehe hope this helps

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Answer: 10 1/3 or 31/3

Step-by-step explanation:

Following bedmas first we do division then addition ( this case you would also switch your fraction into mixed fractions)

(55/6 / 5/1) + 3 1/3

(55/6 x 1/5) + 10/3

11/6 + 10/3

To add fraction you have to have the same denominator, so you multiply it till it has the same denominator

11/6 + 20/3

31/3 = 10 1/3 is your final answer

Answer:

Gymnastics

Step-by-step explanation:

The length of the ladder is 58.31 inches and the angle made by the ladder with the ground is θ = 59.04°.

The distance between the ladder and the wall is 30 inches.

The height at which the ladder touches the wall is 50 inches from the ground.

Let x be the slant height when the ladder touches the wall.

Then, by using a Pythagorean theorem:

(Base)² + (Altitude)² = (Hypotenuse)²

(30)² + (50)² = x²

x² = 900 + 2500

x² = 3400 inches²

x = √[ 3400 inches²]

x = 10√34 inches

x = 58.31 inches

Then the angle made by the ladder with gound is :

tan (θ) = opposite / adjacent

tan (θ) = 50/30

tan (θ) = 5/3

θ = tan⁻¹ ( 5/3 )

θ = 59.04°

Therefore, the ladder is 58.31 inches long and the angle between the ground and the ladder is 59.04°.

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Answer:

B

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real irrational roots

• If b² - 4ac > 0 and a perfect square then 2 real rational roots

• If b² - 4ac = 0 then 1 real double root

• If b² - 4ac < 0 then 2 complex roots

Given

x² + 3x - 7 = 0 ← in standard form

with a = 1, b = 3, c = - 7 , then

b² - 4ac

= 3² - (4 × 1 × - 7) = 9 + 28 = 37

Since b² - 4ac > 0 then 2 real irrational roots

Answer:

x = 6, y = 5

Step-by-step explanation:

Solve the following system:

{5 y - 6 x = -11 | (equation 1)

{-11 y + 6 x = -19 | (equation 2)

Add equation 1 to equation 2:

{-(6 x) + 5 y = -11 | (equation 1)

{0 x - 6 y = -30 | (equation 2)

Divide equation 2 by -6:

{-(6 x) + 5 y = -11 | (equation 1)

{0 x + y = 5 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{-(6 x) + 0 y = -36 | (equation 1)

{0 x + y = 5 | (equation 2)

Divide equation 1 by -6:

{x + 0 y = 6 | (equation 1)

{0 x + y = 5 | (equation 2)

Collect results:

Answer: {x = 6, y = 5