A baby weighed 5.6 kg and six weeks later her weight had increased to 6.8 kg.
Find the percentage increase.

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Shape and pattern are the element of art and principal of designdid the artist manipulated to create texture on this scripture.

Answer:

Shape and pattern {final answer}

Step-by-step explanation:

The element of art and principal of design did the artist manipulate to create texture on this sculpture is shape and pattern. This option best suits for most of the sculptures. Therefore, the last option is the required answer.

Answer:x=11.8

Step-by-step explanation:

Step-by-step explanation:

Simply graph the two equations....the intersection of the two graphs is the solution

The Costa Rican coffee should be used is 160 pound.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given that the cost of Costa Rican coffee that sells for $7 per pound and Kenyan coffee that sells for $10.

The cost of the mixture is $8.5 per pound.

Assume that the manager mixed 80 pounds of the Kenyan coffee with the x pound of the Costa Rican coffee to get a mixture.

The cost of 80 pound Kenyan coffee is $(80×10) = $800.

The cost of x pound Costa Rican coffee is 7x.

The cost of mixture coffee is (80 + x)8.5

According to the question:

800 + 7x = (80 + x)8

800 + 7x = 640 + 8.x

640 + 8x = 800 + 7x

x = 800 - 640

x = 160

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10 miles per hour is the average journey speed.

Given that,

Some pupils choose to ride bikes. They move at a 15 mph average speed for the first two hours, and then they stop for lunch for an hour. The pupils ride at a 10 mph speed for an additional hour.

Average speed is ( total distance ) / ( total time )

During the 1st 2 hrs:

distance = speed * time

distance = 15 *2 = 30 miles

During the last hour:

distance = speed * time

distance = 10 *1 = 10 miles

Average speed = 30+10 / 2+1+1 = 40/4 = 10 mil/hr

Therefore, their average speed for the trip is 10 mil/hr

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The value of tan(t−π) is 4/9.

According to the statement

we have given that  tan(t)=4/9 and we have to find the value of tan(t−π).

So,

tan(t−π)  -(1)

take negative sign common from equation (1) it then

tan(t−π) = -tan(-t+π)

and we know that the according to the mathematics formula it become

tan(-t+π) is -tan t

then

tan(t−π) = -(-tan t)

it becomes

tan(t−π) = tan t

then its value becomes

tan(t−π) = tan(t)=4/9.

because we have given that the value of tan t is tan(t)=4/9.

So, The value of tan(t−π) is 4/9.

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The given polynomial is

x^2 - 9x^3 - 5x^2 - 4x + 5

By simplifying it, it becomes

- 9x^3 + x^2 - 5x^2 - 4x + 5

- 9x^3 - 4x^2 - 4x + 5

We want to divide it by x + 3. To use the remainder theorem, we would substitute x = - 3 into the polynomial to find the remainder, r. We have

r = p(- 3) = -9(-3)^3 - 4(-3)^2 - 4(-3) + 5

243 - 36 + 12 + 5

r = 224

Thus, the remainder when P(x) = x^2-9x^3-5x^2-4x+5 is divided by x + 3 is 224

P(-3) = 224

-

Answer:

16

Step-by-step explanation:

you back track the numbers such as 4 goes back to 2 and 28 goes back to 22 then again and you get x as 9 and y as 16

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Answer:-12x

Step-by-step explanation:

just trust me on this

This question is about probability. The answer for this question is 34,09%.

Suppose there was survey that state that the number of hours spent per week on house hold course of adult has mean 26,3 and standard deviatiador 7,4 and, sample are 46.

First, we need to know the base formula for probability given a mean and standard deviation.

First we need to know the z-score with this formula:

z-score =( x -μ )/ δ

Where:

X = individual data

μ = population mean

δ = population standard deviation.

But in this case, we were asked about the probabilty mean of 46 people. Then, we can use this formula :

Z-score =(x- μ) / (δ /√n)

Where :

X = sample mean

μ = population mean

δ = population standard deviation

Then we can find the z-score in z-table value.

Given :

X = 26,75

μ = 26,3

δ = 7,4

n = 46

Question :

Probability mean more than 26,75

Answer :

Z-score = (x- μ) / (δ /√n)

Z-score = (26,75 - 26,3)/ (7,4/√46)

Z-score = (0,45)/ (1,09)

Z-score = 0,4128

if we look in z-score table, we get number 0,6591.The probability that the mean hours spent per week on household chores by a sample of 46 adults will be more than 26.75 is 1 substract by the value of z-score ,

So, the probability mean for working adult more than 26,75 is 1 - 0,6591 = 0,3409 = 34,09%

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Answer:

(18, -15)

Step-by-step explanation:

The vector AB is defined by its starting and endpoints. Usually, B would be at the end, but in this case A is. Since we are given its midpoint, that is, the point equidistant from both the coordinates A and B, we can find coordinate B by simply calculating the distance between A and the midpoint and reapplying this distance to the midpoint.

1. Finding the distance between the midpoint and A:

The distance between two coordinates, from what I can recall, is simply the final coordinate value minus the initial coordinate value, following the form (x2-x1, y2-y1). We know that A comes after the midpoint, because it is the endpoint (so it will be the final coordinate value). Applying this to the context of the question, (2-10, 13+1) = (-8,14).

2. Finding B using the distance between midpoint and A:

B will be the initial coordinate value because it comes before the midpoint. Therefore, giving B the values (x,y):   (10-x, -1-y) = (-8, 14). Separating into two equations (respective to each axis):

10-x=-8

-x=-18

x=18

-1-y=14

-y=15

y=-15

Therefore, the coordinate of B is (18, -15).

According to the table, the value of the function f(2) is 3

Functions are equations, ordered pairs, tables and graphs that are used to represent a relation

From the question, the function is represented by the table of values given as

X: 0 1 2 3 4

f(x): 4 2 3 9 1

From the question, the function to calculate is given as

f(2)

This means that we calculate the value of the function, when x = 2

i.e.

We calculate f(x), when x = 2

So, we look at the table of values for this function value

From the table of values, we have

When x = 2, f(x) = 3

This means that

f(2) = 3

So, we can conclude that the value of the function f(2) based on the given table when x =2 is 3

Hence, the function f(2) has a value of 3

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Answer:

p+_(n) + 70%

Step-by-step explanation:

finished

Answer: A = 55* or 55 degrees

Step-by-step explanation:

The interior angles of a triangle always have a sum of 180 degrees.

75 + 50 + x = 180

Solve for x

FInal answer: 55 degrees

hope i explained it :)

The population mean is 25 seconds, the sample mean is also 25 seconds, and the standard deviation of the sample mean is 0.55 seconds.

The mean length of advertisements produced by Majesty Video Production Incorporated, we can use a sample of 13 ads.

Since the population standard deviation is known to be 2 seconds, we can use the formula for the sampling distribution of the sample mean.
The formula is:

standard deviation of the sample mean = population standard deviation / square root of sample size.

In this case, the population standard deviation is 2 seconds and the sample size is 13.

So, the standard deviation of the sample mean is

2 / √13 ≈ 0.55 seconds.

Next, we want to determine the probability that the mean length of the sample ads is less than or equal to 25 seconds. We can use the Z-score formula to find the Z-score associated with 25 seconds.

The formula is:

Z-score = (sample mean - population mean) / standard deviation of the sample mean
In this case, the population mean is 25 seconds, the sample mean is also 25 seconds, and the standard deviation of the sample mean is 0.55 seconds.

Finally, we can use a Z-table or calculator to find the probability associated with the Z-score we calculated.

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In the OF₂ molecule, the Oxygen atom is sp³ hybridized and has tetrahedral geometry. Biut due to the presence of two lone pairs on the O-atom the bond angle is lowered to 103° as the lp-lp interraction has to be lowered by increasing the angle between them. This squeezes the bond pairs closer to each other lowering the angle between them.

In the SCL₂ molecule, the Sulphur atom is sp³ hybridizes and has tetrahedral geometry. But due to the presence of two lone pairs on the S-atom the bond angle is lowered to 103° as the lp-lp interaction has to be lowered by increasing the angle between them.

Here again, in the PF₃ molecule, the Phosphorous atom is sp³ hybridized and has tetrahedral geometry. But here the Fluorine atoms being more electronegative than phosphorous polarize the bond negatively towards themselves.  

Given question is incomplete.

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Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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With side lengths a = 16, b = 17, and angle A = 44 degrees, a triangle can be formed. The remaining angles are B ≈ 54.1 degrees and C ≈ 81.9 degrees, with side c ≈ 21.9.



To determine if the given information forms a triangle, we can apply the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Using the given information:

a = 16, b = 17, and A = 44 degrees

First, let's check if the triangle inequality is satisfied for sides a, b, and the third side, c:

a + b > c

16 + 17 > c

33 > c

Now, let's check if the triangle inequality is satisfied for sides b, c, and the third side, a:

b + c > a

17 + c > 16 + c > 16

The triangle inequality holds for both cases, which means that a triangle can be formed with the given information.

To solve the triangle, we can use the Law of Sines. Using the given angle A and side a, we can find the remaining angles and sides. Applying the Law of Sines:

sin(A) / a = sin(B) / b

sin(44) / 16 = sin(B) / 17

Solving for sin(B):

sin(B) = (sin(44) / 16) * 17

B ≈ 54.1 degrees

Now, we can find angle C using the fact that the sum of angles in a triangle is 180 degrees:

C ≈ 180 - A - B

C ≈ 180 - 44 - 54.1

C ≈ 81.9 degrees

Finally, we can find side c using the Law of Sines:

sin(C) / c = sin(A) / a

sin(81.9) / c = sin(44) / 16

Solving for c:

c ≈ (sin(81.9) / sin(44)) * 16

c ≈ 21.9

Therefore, the resulting triangle has side lengths approximately rounded to 1 decimal place: a = 16, b = 17, and c = 21.9. The angles are approximately A = 44 degrees, B = 54.1 degrees, and C = 81.9 degrees.

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Moe Larry

35 + 20x 60 + 10x

35 + 20x = 60 + 10x

(show work)

x = 2.5

Moe and Larry will have the same amount of money in their savings accounts after 2.5 weeks.

-From TheRealMarinette

-Pls Dont Not Copy N Paste.

The height of the hydraulic concrete block discovered at the ruins of Caesara in 1980 can be determined using the given dimensions of the block.

Let's solve the equation based on the given dimensions of the block. The volume of the block is given as 330 cubic yards, and its dimensions are x yards high by (13x - 11) yards long by (13x - 15) yards wide.

The volume of a rectangular block is calculated by multiplying its length, width, and height. In this case, we have:

Volume = (height) × (length) × (width)

330 = x × (13x - 11) × (13x - 15)

To determine the height, we need to isolate the variable x. Simplifying the equation, we get:

330 = x × (169\(x^{2}\) - 286x + 165)

330 = 169\(x^3\) - 286\(x^{2}\) + 165x

Rearranging the equation, we have:

169\(x^3\) - 286\(x^{2}\) + 165x - 330 = 0

Solving this cubic equation would require more complex mathematical techniques, such as numerical methods or factoring. However, without specific values for x provided in the question, it is not possible to determine the exact height of the concrete block.

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Answer:

The Total Surface Area of cone is 264 cm²

Step-by-step explanation:

Radius (r) = 6 cm

Slant height (l) = 8 cm

To find TSA of cone

A = πr(l + r)

A = 22/7 × 6 × (8 + 6)

A = 22/7 × 6 × (14)

A = 22/7 × 84

A = 22 × 12

A = 264 cm²

Thus, The Total Surface Area of cone is 264 cm²

-TheUnknownScientist 72

Answer:

Step-by-step explanation:

Since the lines are parallels and should equal 180 degrees, with the other being 140 degrees, I would think it's 40 degrees to make the 180. I hope  this is right. It's been a while for geometry.

Answer:

r=2

Step-by-step explanation:

Answer:

r = 2

if you solve it step by step, you'll end up with r=2.

Step by step explanation:

2(3r+4)-3(r+1)=11

6r+8-3r-3=11

3r+5=11

3r=6

r=2

The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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The number of degrees of freedom is large, then the student's T distribution is close to the normal distribution.

The degrees of freedom is the number of observation in a sample that are free to vary when we estimate the statistical data. Degree of freedom will also indicate the independent piece of information in the data.

Basically, the T distribution or student's distribution is a family's of distribution that look identical to the normal distribution.

So, the number of degrees of the freedom is large then it will closely related to normal distribution.

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Answer:

x=12

Step-by-step explanation:

What we have here is a secant and tangent. Using this theorem,

Given the segments of a secant segment and a tangent segment which share an endpoint outside of a circle,

The product lengths of the secant segment and external secant segment equals the length of the tangent segment squared.

In other words,

\(9(7 + 9) = {x}^{2} \)

\(9(16) = {x}^{2} \)

\(144 = {x}^{2} \)

\(x = 12\)

We are given a set of vectors S and we need to determine whether each given vector can be written as a linear combination of the vectors in S.

(a) For vector (2, -1, -2), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (2, -1, -2). By solving the system of equations, we find that k₁ = -1 and k₂ = 0, so the vector can be written as a linear combination of the vectors in S.

(b) For vector (8, -14, 27/4), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (8, -14, 27/4). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(c) For vector (1, -8, 12), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, -8, 12). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(d) For vector (1, 1, -1), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, 1, -1). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

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