Paper weighs 4.9 kg for every 500 sheets, how much will 700 sheets weigh?

Answer:

29

Step-by-step explanation:

The right triangle is isosceles triangle so we have the left angle of it is:

180-64=116

116÷2=58

Then start to calculate the left triangle angles:

180-58 = 122

180-122 = 58

58÷2 = 29

You should give 2.5 mL of the amoxicillin suspension for each dose.

We need to calculate the volume (in mL) based on the prescribed dosage.

Given:

Dosage: 100 mg of amoxicillin

Supply: 80 ml bottle of Amoxil oral pediatric suspension (200 mg per 5 ml)

Let's calculate the amount of suspension needed for a single dose of 100 mg:

100 mg / (200 mg/5 ml) = 100 mg * (5 ml/200 mg) = 2.5 ml

So, you should give 2.5 mL of the amoxicillin suspension for each dose.

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The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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The increase in draft will be 6.28 cm.

Given, the dimensions of the vessel are 100 m × 10 m × 6 m and it is floating upright in salt water on an even keel at 4.5 m draft.

Amidships compartment is 15 m long and contains timber cargo.

The stowage factor of timber is 1.4 m³/tonne and the relative density of timber is 0.8.

The volume of the compartment = Length × Breadth × Depth

= 15 m × 10 m × 6 m

= 900 m³

The weight of the timber = volume × relative density= 900 m³ × 0.8= 720 tonnes

The stowage space required = weight of timber ÷ stowage factor

= 720 tonnes ÷ 1.4 m³/tonne

= 514.29 m³

Due to the damage in the amidship compartment, its volume is reduced by 50% = 900 m³ ÷ 2

= 450 m³

Thus, the stowage space available after the bilging = total volume of the compartment – bilge volume

= 900 m³ – 450 m³

= 450 m³

The available stowage space can accommodate 450 ÷ 1.4= 321.43 tonnes of cargo.

Draft increase = (Loaded displacement - Light displacement) ÷ (Waterplane area × Waterplane coefficient)

The volume of the underwater part of the ship before bilging = 100 m × 10 m × 4.5 m

= 4500 m³

The volume of the underwater part of the ship after bilging = 100 m × 10 m × 4 m

= 4000 m³

The light displacement of the ship = (100 m × 10 m × 6 m × 1025 kg/m³) - 321.43 tonnes

= 6157142.86 kg

The displacement of the ship after loading timber = light displacement + weight of timber

= 6157142.86 kg + 720000 kg

= 6877142.86 kg

The waterplane area = Length × Breadth

= 100 m × 10 m

= 1000 m²

The waterplane coefficient for the given box-shaped vessel is 0.98 (given)

Therefore, the increase in draft of the vessel = (6877142.86 kg - 6157142.86 kg) ÷ (1000 m² × 0.98)

= 6.28 cm (approx.)

Therefore, the increase in draft will be 6.28 cm.

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The value of m is 1/3.

To solve the equation 9²m⁻¹ × 9⁵ = 9m², we can simplify the equation and solve for the value of m.

Let's simplify the equation step by step:

9²m⁻¹ × 9⁵ = 9m²

Expanding the exponents:

(9²)(9⁵)(m⁻¹) = 9m²

Simplifying the exponents:

9^(2+5)(m⁻¹) = 9m²

Using the property\(a^{(m+n)\)= \(a^m \times a^n\):

9^7(m⁻¹) = 9m²

Applying the power of 9⁷:

9m⁻¹ = 9m²

Dividing both sides by 9m⁻¹:

1 = 9m²/m⁻¹

Dividing with the same base and different exponents, we subtract the exponents:

1 = \(9m^{(2-(-1))\)

Simplifying the exponents:

1 = 9m³

Now, we can solve for m by isolating it on one side of the equation:

m³ = 1/9

Taking the cube root of both sides:

m = ∛(1/9)

The cube root of 1/9 is the same as raising 1/9 to the power of 1/3:

m = \((1/9)^{(1/3)\)

Simplifying the cube root:

m = 1/3

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Answer:

Median is 31, if you are talking about the parallel line in between JK and and ML

On using the implicit differentiation the equation of the tangent line the the curve "x² + 2xy - y² + x = 39" at the point (5,9) is 29x - 8y = 73  .

The equation of the curve is  x² + 2xy - y² + x = 39 ;

to find the equation of the tangent , we differentiate the curve with respect to "x" ,

On differentiation ,

We get ,

⇒ d/dx (x² + 2xy - y² + x) = 0 ,

⇒ 2x + 2y + 2x(dy/dx) - 2y(dy/dx) + 1 = 0 ,

⇒ dy/dx = (1 + 2x + 2y)/(2y - 2x) ....equation(1)

We know that the equation of tangent at the point (x₀,y₀) is given as : ⇒ y = y₀ + y'(x₀)(x - x₀) ...equation(2)

where x₀ = 5 and y₀= 9

So from equation(1) , y'(x₀) = (1 + 10 + 18)/(18 - 10) = 29/8 ,

Then equation(2) becomes , y = 9 + 29/8(x - 5) ,

⇒ y = (29/8)x - (73/8) ,

⇒ 29x - 8y = 73 .

Therefore , the equation of the tangent line is 29x - 8y = 73 .

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The given question is incomplete , the complete question is

How do you use implicit differentiation to find an equation of the tangent line to the curve x² + 2xy - y² + x = 39 at the given point (5,9)?

Answer:

47

Step-by-step explanation:

If you add 4 to 43 you get 47 man that was so hard

Answer:

3√2

Step-by-step explanation:

since it is equilateral we can add say base = 2 * \(\sqrt{6\\}\)

all sides = 2\(\sqrt{6}\)

we use Pythagorean theorem for solving x

a^2 + b^2 = c^2

c^2 - a^2 = b^2

(2\(\sqrt{6}\))^2 - (

(24) - (6) = b^2

18 = b^2

b = √18 = √(9*2) = 3√2

please if you find the answer helpful mark it brainiest

Answer:

4/5 brownies for each person.

Step-by-step explanation:

4 brownies between 5 people equals 4/5, or 4 divided by 5.

The probability that among 25 randomly chosen individuals with automobile insurance from the given company, at least 15 have no citations is approximately 0.911.

Let X be the number of individuals among 25 who have no citations. Then X follows a binomial distribution with n=25 and p=0.5 (since the probability of an individual having no citations is 0.5).

We want to find P(X≥15), which is the probability that at least 15 out of 25 individuals have no citations. We can use the complement rule and find the probability that fewer than 15 individuals have no citations:

P(X<15) = P(X=0) + P(X=1) + ... + P(X=14)

To find the probabilities P(X=k), we can use the binomial pmf:

P(X=k) = (25 choose k) × 0.5^k × 0.5^(25-k) = (25 choose k) × 0.5^25

Therefore,

P(X<15) = P(X=0) + P(X=1) + ... + P(X=14)

= sum[(25 choose k) × 0.5^25] from k=0 to 14

≈ 0.089

Using the complement rule, we have:

P(X≥15) = 1 - P(X<15)

≈ 0.911

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The given question is incomplete, the complete question is:

An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is given. y 0 1 2 3 p(y) 0.50 0.25 0.15 0.10 (a) What is the probability that among 25 randomly chosen such individuals, at least 15 have no citations?

Answer:

to multiply-----

(2y-1)(2y+1)

2y(2y+1)-1(2y+1)

4y^2+2y-2y-1

=4y^2-1

Answer:

the answer would be 9 I think

Answer:

In the figure above, click 'reset'. As you can see, a diagonal of a rectangle divides it into two right triangles, BCD and DAB. The diagonal of the rectangle is the hypotenuse of these triangles. We can use Pythagoras' Theorem to find the length of the diagonal if we know the width and height of the rectangle.

As a formula:

Diagonal =  √   w 2  +  h 2    

where:

w  is the width of the rectangle

h  is the height of the rectangle

Step-by-step explanation:

Hope this helps

Answer:

They are the same length

Step-by-step explanation:

The values of x and y are x = √15 and y = 2√5.

Given that a right triangle with an altitude of x and dividing the hypotenuse into 5 and 3, with a leg of y,

According to the property of a right triangle,

x² = 5 × 3

x = √15

Using the Pythagoras theorem,

y² = √15² + 5²

y² = 15 + 25

y² = 40

y = 2√5

Hence the values of x and y are x = √15 and y = 2√5.

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Answer: P =-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

\(-75 = 15(p+2)\) we can divide both sides by 15 and read right to left

\((p+2) = -5\) then take 2 from both sides

\(p= -7\)

Answer:

Select an answer for each item. If you do not know the answer, you should make an educated guess. At the bottom of the test, you will be given your results. Questions 1-5. Read the following early draft of an essay and then choose the best answer to the question or the best completion of the statement. (1) Seaweed-based fuel could one day power ...

Step-by-step explanation:

Answer:

Is false because the Italian regions are partly bathed by the sea

Step-by-step explanation:

Answer:

both

Step-by-step explanation:

you count my 5s like 5, 10, 15, 20, 25

you count by 10s like 10, 20, 30, 40, 50

Answer:30 degrees

Step-by-step explanation:There are a couple of ways to do this.

This is the straightforward, “follow-your-nose” way. Find a point on each line. (Say, (1,2) on the line with slope 2 and (-1,1) on the line with slope -1. Then the angle in the triangle formed by the origin (0,0) and these other two point is the desired angle. One can find the cosine of angle in the triangle using the Law of Cosines, since the lengths of all of the sides can be found directly from the distance formula and the coordinates of the points. Finally, use arccosine to get from the cosine of the angle to the angle itself.

There is also a “slick” way, which relies on remembering the subtraction formula for tangents. tan(u-v) = [tan(u) - tan(v)] / [tan(u) + tan(v)]. Consider u as the angle between the positive x-axis and the line with slope -1, and v as the angle between the positive x-axis and the line with slope 2. Then the requested angle is u-v. We know tan(u) = -1 and tan(v) = 2, so substituting into the subtraction formula for tangents allows us to find tan(u-v). Finally, use arctangent of that value to find u-v.

As the cuboid has six rectangular faces, the total surface area of the cuboid is calculated as follows: Assume that, l, w, h be the length, width, and height of the cuboid respectively. Therefore, the total surface area of the cuboid is 2 (lh + lw+ hw) square units.

The answers are :- 1) Δ ABC ~ Δ DEF, by AA rule and 2) Δ RTS and Δ MQP are not similar.

Similar triangles are the triangles that look similar to each other, but their sizes might not be exactly the same.

Given are two pairs of triangles, we need to determine if they are similar or not,

1) Δ ABC and Δ DEF :-

We know that, the sum of the interior angles of a triangle is 180°,

Therefore,

∠ A + ∠ B + ∠ C = 180°

60° + ∠ B + 79° = 180°

∠ B = 180°-139°

∠ B = 41°

In Δ DEF,

∠ F = 79° and ∠ E = 60°

That means,

∠ B ≅ ∠ F and ∠ E ≅ ∠ C

Since, we get two corresponding angles congruent,

Therefore, by the definition of similar triangles,

Δ ABC ~ Δ DEF, By AA rule.

2) Δ RTS and Δ MQP :-

∠ R ≅ ∠ M

RT / MQ = TS / QP = 4 / 5

RS / MP = 20 /26 = 10 / 13

That means,

RT / MQ = TS / QP ≠ RS / MP

Since, we have a condition in similarity, that if, in two triangles two corresponding sides are in equal ratio, and an angle between these sides are congruent then the triangle are similar by SAS rule,

But the angle R and angle M is not in between the sides having equal ratio,

Therefore, Δ RTS and Δ MQP are not similar.

Hence, the answers are :- 1) Δ ABC ~ Δ DEF, by AA rule and 2) Δ RTS and Δ MQP are not similar.

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Answer:

the answer d x234 +485eedyu874rr

Answer:

Answer:

y = 1/5x - 6/5

Step-by-step explanation:

Step 1: Write out known variables

m = 1/5

y = 1/5x + b

Step 2: Find b

-1 = 1/5(1) + b

-1 = 1/5 + b

b = -6/5

Step 3: Write linear equation

y = 1/5x - 6/5

Hourly earnings of call center employees is not a discrete random variable.

The answer is C.

The continuous random variable is not a discrete random variable. Continuous random variables are variables that can take an infinite range of values within a specific range, such as time, length, and weight.

A discrete random variable is a random variable that can only take certain discrete values. A discrete random variable is defined as a variable that takes on a specific set of values or a range of values.

The number of births, number of fives, and number of applicants are all random variables that can only take certain discrete values within a particular range of possible values.

So, the answer is C. The hourly earnings of a call center employee in Boston is not a discrete random variable.

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Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Answer:

The answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

√36×25×49×15×3

2×3×5×3×7√5

630√5

Answer: The correct inequality that can be used to find all of the winners of the movie tickets is:

C. |x - 99| < 8

Here, x represents the position of a person in the line. The 99th person in line is the reference point, so we need to find the people who are within eight places of this person, either ahead or behind. This means that their position should be between 99 - 8 = 91 and 99 + 8 = 107.

Using absolute value, we can write this as:

|x - 99| < 8

This inequality means that the distance between x and 99 should be less than 8, which is exactly what we need to find the people who are within eight places of the 99th person in line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

I like you pic