height of a parellogram?

Answer:

6

Step-by-step explanation:

60% of 50 is 30 and 20% of 30 is 6

The substance's half - life is 7 days

The formula for finding the half - life is given as;

Half - life = \(\frac{0. 693}{k}\)

The k value given is 0.1027

Half - life = \(\frac{0. 693}{0.1027}\)

Half - life = 6. 75

Half - life = 7 days in the nearest tenth

Thus, the substance's half - life is 7 days

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Answer:

2.8 Miles

Step-by-step explanation:

You subract 5.8 from 8.6 to get the answer.

The value of the funciton of function f(g(x)) for x = 2 is that f(g(2)) is 33.

The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

As per the given function,

f(x) = x² -3x + 5 and g(x) = -2x

f(g(x)) = f(-2x)

Since the operation of f(x) is x²-3 x+5.

So,  f(-2x) = (-2x)² - 3(-2x) + 5

f(g(x)) = 4x² + 6x + 5

The value of the combined function for x = 2 is

f(g(2)) = 4(2)² + 6(2) + 5

⇒ 16 + 12 + 5 = 33

Hence "The value of the funciton of function f(g(x)) for x = 2 is that f(g(2)) is 33".

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Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

Answer:

Minimum z =22 at A =6, B=1

See the graph below variable A is on the horizontal axis and variable B on the vertical axis

Step-by-step explanation:

We can solve using the graphical method

Min z = 3A + 4B

s.t.

1A + 3B ≥ 9

1A + 1B ≥ 7

A, B ≥ 0

Draw two lines using the constraint equations

1A + 3B = 9

1A + 1B = 7

The feasible region for the inequality constraints is the region that satisfies all 4 constraints below

1A + 3B ≥ 9

1A + 1B ≥ 7

A, B ≥ 0

This is the heavily shaded region in the graph. The minimum will be at one of the corner points

There are three corner points on the graph

(0,7), (6,1) and (9,0)

Plug in these coordinate values with A being the first and B being second in the parentheses and see which set of values makes the objective function the minimum

Point (7,0) ==> z = 3(0) + 4(7) = 28

Point (6,1) ==> z = 3(6) + 4(1) = 22

Point (9,0) ==> z = 3(9)+4(0) = 27

Answer:60 male staff

Step-by-step explanation:

Ok, there are 96 female staff. The ratio of male to female is 3:4. We’re going to use a proportion which looks like this. 3/4 = x/96. X is a variable that takes the place of the male staff since we don’t know what it is. Now, the question is what do we do to get from 4 to 96. So 96/4 = 24, so 4 x 20 = 96. To keep this ratio equivalent whatever you do to the top you have to do to the bottom so 4 x 20 = 96 and 3 x 20 = 60. So there are 60 male staff.

Answer:

  x = 30°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so you have ...

  60° +2x +60° = 180°

  2x = 60° . . . . . . . . .subtract 120° from both sides

  x = 30° . . . . . . . . . . divide by 2

_____

Since the triangle is isosceles (base angles are congruent), the angle bisector is also an altitude that divides the triangle into congruent 30°-60°-90° triangles. The measure of the angle marked x is 30°.

Answer:

1. ROUNDED 64.85 + 14.27 = 79.12

NOT ROUNDED 64.85 + 14.26 = 79.11

2. 143.50 + 9.32 = 152.82 not rounded

143.50 + 9.33 = 152.83 rounded

Step-by-step explanation:

1.

We need to find 22% of 64.85, and we do that by multiplying

64.85 x 0.22 = 14.267

Now we have 2 choices, if you round, the tip will be 14.27, but if you do not round, it will be 14.26. If you aren't sure, round the answer. 64.85 + 14.27 = 79.12  OR 64.85 + 14.26 = 79.11

2.

We will first solve for the total cost of the tickets before the sales tax

140.00 + 3.50 = 143.50

Then, we will calculate sales tax

143.50 x 0.065 = 9.32 not rounded

143.50 x 0.065 = 9.33 rounded

143.50 + 9.32 = 152.82 not rounded

143.50 + 9.33 = 152.83 rounded

Answer:

Step-by-step explanation:

mhm?

Answer:

-16

Step-by-step explanation:

(X + Y)

= (-3 + -5)

= -8

(X - Y)

= (-3 - -5)

= 2

Because  they're still in brackets in this form:

(-8) (2)

You multiply them both and you'll get the answer:

-16

hope this helped!

Answer:

The interval from -12 to -7

The interval from 6 to 12.

Step-by-step explanation:

The equation is log(x + 9) + log(x 9) = log[(x + 9)(x 9)]. = log(x² − 81)

Here is the equation:

log(x² - 81) = 0.47712

This can be expressed in exponential form:

x² - 81 = 10^(0.47712)

x² = 81 + 3.02343

x² = 84.02343

x ≈ ± 9.1658

The answers are therefore x -9.1658 and x 9.1658.

These intervals are where these solutions occur:

The answer, x -9.1658, can be found in the range from -12 to -7.

- The answer x = 9.1658 is found in the range of 6 to 12.

The appropriate choices are:

- The range between -7 and -12; - The range between 6 and 12.

The required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

The complex number is given in the question following as

3i

We have to determine the fifth roots of the given complex

As per the given question, we have

⇒ ⁵√3i

Apply the radical rule ⁿ√ab = ⁿ√aⁿ·√b,  (Assuming a ≥ 0, b ≥ 0)

⇒ ⁵√3·⁵√i

Thus, the required fifth roots of the given complex number as ⁵√3i = ⁵√3·⁵√i.

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Answer:

yes

Step-by-step explanation:

because the 2 shorter sides need to add up to more than the 3rd side. and they do.

Answer:

No, It doesn't

Step-by-step explanation:

Use the Pythagorean Theorem to check for a right angle

a^2=b^2+c^2

81^2=80^2+13^2

Solve

6561≠6569

The BR is the perpendicular bisector of AC by CPCTC (corresponding parts of congruent triangles are congruent).

Based on the given information that angles ABR and ACR are right angles, and AB = AC, we can conclude that triangles ABR and ACR are right triangles.

Using the shared hypotenuse AR and the reflexive property, we can determine that side AB is congruent to side AC.

With this information, the transitive property allows us to conclude that angle BAR is congruent to angle CAR. Next, using the HL congruence postulate, we can prove that triangle ABR is congruent to triangle ACR.

This means that side BR is congruent to side CR, and angle BAC is bisected by line segment BR by the definition of bisector.

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The probability that a person has the virus given that they have tested positive find the P(A/B)=0.0045

We can use Bayes' theorem to find the probability that a person has the virus given that they have tested positive:

P(A | B) = P(B | A) * P(A) / P(B)

where P(B | A) is the probability of testing positive given that the person has the virus, P(A) is the prior probability of a person having the virus (1/300), and P(B) is the total probability of testing positive.

To find P(B), we can use the law of total probability, which states that:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

where P(B | not A) is the probability of testing positive given that the person does not have the virus. This is the false positive rate, which is 5% or 0.05 in this case. P(not A) is the complement of P(A), which is 299/300.

Substituting the values, we get:

P(B) = 0.85 * 1/300 + 0.05 * 299/300

= 0.059

Now we can plug in the values into Bayes' theorem:

P(A | B) = 0.85 * 1/300 / 0.059

= 0.0045 or 0.45%

Therefore, the probability that a person has the virus given that they have tested positive is 0.45% or 0.0045 (rounded to the nearest tenth of a percent).

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Answer:

104.65 m

Step-by-step explanation:

The plane with the smaller angle of depression is closer to the raft.

Taking the tan values of both planes :

Plane 1 (57°)

Plane 2 (48°)

Equate Equations 1 and 2 :

Taking the sin ratio to find distance :

a. The mass of the apple is approximately 33.879 grams.

b. The volume of the apple increases by approximately 1.454 cubic inches during the five-week period.

a. To find the mass of the apple, we need to calculate its volume first. The circumference of the apple can be used to determine its radius.

The formula for the circumference of a circle is C = 2πr,

where C is the circumference and r is the radius.

Rearranging the formula, we have r = C / (2π).

Plugging in the given circumference of 6 inches.

we get r = 6 / (2π) ≈ 0.955 inches.

Now, we need to convert the radius from inches to centimeters since the density is given in grams per cubic centimeter.

Since 1 inch is approximately 2.54 centimeters, the radius in centimeters is \(0.955 \times 2.54\)  ≈ 2.427 cm.

Next, we can calculate the volume of the apple using the formula for the volume of a sphere: V = (4/3)πr³.

Plugging in the radius in centimeters, we get

V ≈ (4/3)π(2.427)³ ≈ 73.682 cm³.

Finally, we can find the mass of the apple by multiplying the volume by the density:

mass = volume \(\times\) density

= 73.682 cm³ \(\times\) 0.46 g/cm³

≈ 33.879 grams.

Therefore, the mass of the apple is approximately 33.879 grams.  

b. The volume of a sphere increases with the cube of its radius.

Since the radius increases by 1/8 inch per week for five weeks, the change in radius would be\((1/8) \times 5 = 5/8 inch.\)

Now, let's calculate the change in volume during the five-week period. The formula for the volume of a sphere is V = (4/3)πr³.

Initially, the radius was 0.955 inches.

After five weeks, the radius would be 0.955 + 5/8 inches.

To compare the change in volume, we can calculate the new volume and find the difference:

Change in Volume = New Volume - Initial Volume

Initial Volume = (4/3)π(0.955)³

New Volume = (4/3)π(0.955 + 5/8)³

By subtracting the initial volume from the new volume, we can determine how the volume changes during the five-week period.

Please note that the exact calculation will depend on the precise values used for π and the measurements provided.

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The length of the sides of triangle ABC are: 6, 8, and 12.

One of the conditions that two triangles are similar is their Three pairs of corresponding sides are proportional.

In the given problem, the ratio of the sides of triangle ABC is 3 : 4 : 6

Another triangle, let's say triangle DEF, is made with its vertices at midpoints of the sides of triangle ABC.

Hence, all three pairs of corresponding sides have the same proportion.

AB/DE = BC/EF = AC/DF = 1/2

Due to similarity, the ratio of the sides of triangle DEF is also 3 : 4 : 6.

ratio f sides : perimeter = 3 : 4 : 6 : 13

Since its perimeter is 13, it means that the length of sides of triangle DEF are: 3, 4, and 6

Length of the sides of triangle ABC = 2 x length of the sides of Δ DEF

Length of the sides of triangle ABC are: 6, 8, and 12.

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Answer:

$3.725

Step-by-step explanation:

1.49/ per pound

1.49× 2.5= 3.725

Product B performed worse because only 26% failed to get relief with this product, but only 20% failed from product A.

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer

Explanation

Given expression:

The expression can be simplified as follows:

Answer: D

Step-by-step explanation:

Answer:

2,600.6

I think its 2,600.6 because 6% is 6 dollers I dont know if I am correct lol! but have a nice day! =)