Will give brainliest

Answer:

if you simplify the expression you will get

\(20c^{7}d - 20 {c}^{6} {d}^{2} \)

Answer:

20c/d

Step-by-step explanation:

I got it right. Hope this helps.

The dish alone is heavier than its content of pap by a fraction of 1/18. To determine the fraction of the dish that is heavier than its content of pap.

We need to find the weight of the dish alone and compare it to the weight of the pap and dish combined.

Given that the weight of the pap and container is two ninths, the weight of the cornflour is three fifteenths, the weight of the sugar is one eighteenth, and the rest is the weight of the dish.

To find the weight of the dish, we need to subtract the weights of the pap, cornflour, and sugar from the total weight of the pap and container.

Let's assume the total weight of the pap and container is represented by the fraction 1.

Weight of the pap and container: 1
Weight of the cornflour: 3/15 = 1/5 (since 3/15 simplifies to 1/5)
Weight of the sugar: 1/18
Weight of the dish: 1 - (1/5 + 1/18) = (18 - 3 - 10)/90

= 5/90

= 1/18

Therefore, the weight of the dish alone is 1/18 of the total weight of the pap and container.

To find the fraction of the dish and pap that is heavier than the pap alone, we need to compare the weight of the dish to the weight of the pap.

Weight of the dish: 1/18
Weight of the pap:

1 - 1/18 = 17/18

The fraction of the dish and pap that is heavier than the pap alone is:

(Weight of the dish)/(Weight of the dish + Weight of the pap)

= (1/18)/(1/18 + 17/18)

= 1/18 divided by 18/18

= 1/18 multiplied by 18/18

= 1/18

Therefore, the dish alone is heavier than its content of pap by a fraction of 1/18.

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Answer:

hard, stressful, sad

Step-by-step explanation:

Answer:

Obnoxious, boring, and irritated.

The number of black hair pin Janice have is 30.

Given:

Janice ha a collection of 36 hairpin.

1/6 of them are red.

The rest of the pins are black.

we are asked to find the number of black pin Janice have = ?

first calculate the number of red pins:

⇒ 1/6 of 36

⇒ 1/6 × 36

⇒ 6

Janice have 6 red pins, and the remaining as black pins.

⇒ subtract the red pins from the total.

⇒ black pins = 36-6

⇒ black pins  = 30

Hence the number of black pins Janice have is 30.

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y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

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Answer:56.52

Step-by-step explanation:

circumference = π*d

d=2r

d=2*9

d=18

3.14*18=56.52

Answer:

C =2ΠR

=2 x (3.14)( 9)

=56.52meters

Answer:

10 × 33 (multiply)

=330 is the answer

Answer:

It means 10 times 33 (330)

Hope it helps!

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\(GraceRosalia\)

The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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SOLUTION

A point will lies on the circle if the distance between the point and the center of the circle gives the radius or is equal to the radius.

Given the center of the circle

Let find the distance between the center and the point (4,0)

The formula for the distance between two points is given as

Given the point (-4,6) and (4,0)

Then substitute the value above into the formula, we have

Since the distance is equal to the radius of the circle,

Hence the point (4,0) lies on the circle

Answer:     9 is the next number of this series. Similarly, apply thus rule. 9×2=18 and 18+9=27. Next is 27.

Step-by-step explanation:

Answer: Expanded Notation to Numeric Form with Decim. Convert each problem to numeric notation. Ex) 4x 10+9+(2*70) +(6x/100). Answers. 49.26. 1) 7 * 100+ 2 ...

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

The answer is 6

Step-by-step explanation:

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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Answer:

We know that the lateral area of any prism is the sum of the areas of its side faces. Thus, the lateral area of a triangular prism is the sum of the side faces, that is the three rectangular faces. The formula to find the lateral area of a triangular prism is, (a + b + c) h or Ph.

so

20×6= 120 sq in

Answer:

120 sq in.

Step-by-step explanation:

LA = ah

LA = 20 × 6

A = 120

2x+32+x = 17

Combine 2x and X to get 3x.

3x+32 = 17

Subtract 32 on both sides.

3x = 17−32

Remains 32 of 17 to obtain −15.

3x = −15

Divide both sides by 3.

x = -15/3

Divide −15 by 3 to get −5.

x = −5

The value of x after solving the given equation 2x + 32 + x = 17, is x = -5, which is the last option.

Given an equation:

2x + 32 + x = 17

It is required to find the value of x after solving or simplifying the equation.

In order to get the value of x, the equation has to be solved in such a way that the terms with the variable have to be placed on one side and the constant terms on the other side.

Consider:

2x + 32 + x = 17

Add x and 2x since they are like terms in variables.

3x + 32 = 17

Subtract 32 from both sides of the equation.

3x = 17 - 32

3x = -15

Divide both sides of the equation by 3.

x = -5

Hence, the value of x is -5.

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The average velocities for the given time periods has been calculated and the instantaneous velocity when t = 2 is -24 ft/s.

To find the average velocity for the given time periods, we need to calculate the change in position divided by the change in time. The formula for average velocity is:

Average Velocity = (Δy) / (Δt)

For the time period of 0.5 seconds:

Substituting t = 2 and t = 2.5 into the equation \(y = 40t - 16t^{2}\), we have:

\(y1 = 40(2) - 16(2^{2}) = 80 - 64 = 16 ft\)

\(y2 = 40(2.5) - 16(2.5^2) = 100 - 100 = 0 ft\)

Δy = y2 - y1 = 0 - 16 = -16 ft

Δt = 0.5 seconds

Average Velocity = (Δy) / (Δt) = (-16 ft) / (0.5 s) = -32 ft/s

For the time period of 0.1 seconds:

Substituting t = 2 and t = 2.1, we have:

\(y1 = 40(2) - 16(2^{2}) = 80 - 64 = 16 ft\\ y2 = 40(2.1) - 16(2.1^{2}) = 84 - 72.24 = 11.76 ft\)

Δy = y2 - y1 = 11.76 - 16 = -4.24 ft

Δt = 0.1 seconds

Average Velocity = (Δy) / (Δt) = (-4.24 ft) / (0.1 s) = -42.4 ft/s

For the time period of 0.05 seconds:

Substituting t = 2 and t = 2.05, we have:

\(y1 = 40(2) - 16(2^{2}) = 80 - 64 = 16 ft\\ y2 = 40(2.05) - 16(2.05^{2}) = 81 - 68.56 = 12.44 ft\)

Δy = y2 - y1 = 12.44 - 16 = -3.56 ft

Δt = 0.05 seconds

Average Velocity = (Δy) / (Δt) = (-3.56 ft) / (0.05 s) = -71.2 ft/s

For the time period of 0.01 seconds:

Substituting t = 2 and t = 2.01, we have:

\(y1 = 40(2) - 16(2^2) = 80 - 64 = 16 ft\\ y2 = 40(2.01) - 16(2.01^2) = 80.4 - 64.3216 = 16.0784 ft\)

Δy = y2 - y1 = 16.0784 - 16 = 0.0784 ft

Δt = 0.01 seconds

Average Velocity = (Δy) / (Δt) = (0.0784 ft) / (0.01 s) = 7.84 ft/s

To find the instantaneous velocity when t = 2, we need to calculate the derivative of the position function y(t) with respect to t.

Taking the derivative of \(y = 40t - 16t^{2}\) gives us the velocity function v(t):

\($v(t) = \frac{{d}}{{dt}} (40t - 16t^2) = 40 - 32t$\)

Substituting t = 2 into v(t), we have:

v(2) = 40 - 32(2) = 40 - 64 = -24 ft/s

Therefore, the instantaneous velocity when t = 2 is -24 ft/s.

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Answer: y is less than or equal to -1

How?

The graphs highest value it will ever reach, range wise, is -1. Therefore it isnt 0, or all real numbers.

The reason why it is -1 and not -2 is because the curve hits -1. Sure, -2 is included in the range, but y is less than or equal to -1 INCLUDES -2

:)

The steps are:

This is further explained below.

Generally, Construction using a straightedge and a set of compasses sometimes referred to as ruler-and-compass construction or classical construction is a method for creating lengths, angles, and other geometrical figures.

In conclusion,

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For the line segment AB with coordinates A( 4,5) and B(12, 9) divided by point P in the ratio AP : PB = 3 : 1 then coordinates of P are ( 10,8).

As given in the question,

Given:

Line segment AB with coordinates A( 4,5) and B(12, 9)

Line segment AB divided by point P in the ratio AP : PB = 3: 1

Let (x ,y) be the coordinates of point P .

Coordinates of A(4,5) = ( x₁, y₁)

B(12,9) = (x₂ , y₂)

Ratio m : n = 3 : 1

Coordinates of point P is given by:

x = (mx₂ + nx₁)/ ( m+ n)

  = [3(12) + 1(4)] / (3+1)

  = ( 36 +4)/ 4

  = 40 /4

  = 10

x = (my₂ + n y₁)/ ( m+ n)

  = [3(9) + 1(5)] / (3+1)

  = ( 27 +5)/ 4

  = 32/4

  = 8

P(x ,y) = P(10, 8)

Therefore, For the line segment AB with coordinates A( 4,5) and B(12, 9) divided by point P in the ratio AP : PB = 3 : 1 then coordinates of P are ( 10,8).

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Answer:

196 per minute, 1,372 per 7 min

Step-by-step explanation:

980/5=196

196*7=1,372

Answer:

Is E

explanation:

The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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If the staysail is 10.5 feet and height is 30 feet then the area of the staysail is 157.5 feet²

To find the area of the staysail, we can use the formula for the area of a triangle:

Area of triangle = 1/2 x base x height

In this case, the base of the staysail is given as 10.5 feet and the height is given as 30 feet.

Substituting these values into the formula, we get:

Area of staysail = 1/2 x 10.5 feet x 30 feet

Simplifying the expression, we get:

Area of staysail = 0.5 x 10.5 feet x 30 feet

Area of staysail = 157.5 square feet

Therefore, the area of the staysail is 157.5 square feet. This means that if the staysail were to be laid flat, it would cover an area of 157.5 square feet.

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Both increasing the sample size (i) and using a lower confidence level (iii) would tend to decrease the width of a confidence interval. The answer is: E.

Increasing the sample size provides more data points, which leads to a more precise estimate of the population parameter. With a larger sample size, the variability within the sample is reduced, resulting in a narrower confidence interval.

Using a lower confidence level means being less confident in the estimation and allowing for a greater margin of error. A lower confidence level requires a smaller interval width to accommodate the increased uncertainty, resulting in a narrower confidence interval.

On the other hand, using a higher confidence level (ii) would tend to increase the width of a confidence interval. A higher confidence level indicates a greater degree of confidence in the estimation, requiring a wider interval to capture the range of possible values for the population parameter.

Hence, the correct option is: E. I and III only.

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Answer:

x = 12

y = -23

Step-by-step explanation:

to solve for this i think we have to do:

   y = -3x + 13

   -

   y = -2x + 1

-----------------------

   0 = -x + 12

-x = -12

x = 12

then i think.... i think you have to substitute to one of the equations

y = -3(12) + 13

y = -36 + 13

y = -23

then to check we substitute  to the second equation

-23 = -2(12) + 1 ?

-23 = -24 + 1?

-23 = -23

A Southern Pacific rattlesnake is more likely to be longer than 43.6 inches.

To calculate the probability of a rattlesnake having a length greater than 43.6 inches, we need to find the standard score (z-score) of 43.6 inches for each species and then use a standard normal table to find the corresponding probability.

The formula for the standard score is:

\($z = \frac{x - \mu}{\sigma}$\) where,

For Great Basin rattlesnakes:

\($\mu\) = 40 inches

\($\sigma\) = 7.2 inches

So,

\($z = \frac{43.6 - 40}{7.2} = 0.5$\)

Using a standard normal table, we find that the probability of a Great Basin rattlesnake having a length greater than 43.6 inches is approximately 0.306.

For Southern Pacific rattlesnakes:

\($\mu\) = 40 inches

\($\sigma\) = 10.8 inches

So,

\($z = \frac{43.6 - 40}{10.8} = 0.333$\)

Using a standard normal table, we find that the probability of a Southern Pacific rattlesnake having a length greater than 43.6 inches is approximately 0.379.

So,  a Southern Pacific rattlesnake is more likely to be longer than 43.6 inches.

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Answer:

The formula for the area of a regular heptagon is:

A = (7/2) * s * a

where:

s = length of one side

a = length of the apothem

Plugging in the given values, we get:

A = (7/2) * 7.0 cm * 7.3 cm

A ≈ 178.715 cm²

Therefore, the area of the given heptagon is approximately 178.715 cm².

We are given the identity 1 + sec x sin x tan x = sec² x. Now, let us try to simplify the left-hand side of the identity using the fundamental trigonometric identity which is the Pythagorean identity.This identity states that sec² x = 1 + tan² x, so we will try to write tan x in terms of sec x and sin x since we already have sin x and sec x in the left-hand side of the identity.So, tan x = sin x/cos x. Using the definition of sec x as the reciprocal of cos x, we can simplify tan x to get:

tan x = sin x/cos x = sin x/1/cos x = sin x sec x

Substituting this into our original expression, we get:

1 + sec x sin x tan x = 1 + sec x sin x(sin x sec x)
= 1 + (sin² x) sec² x/ sec x
= (sec² x + sin² x)/ sec x
= 1/ sec x

Now, since sec² x = 1/ cos² x, we have:

1/ sec x = cos² x

Therefore, we have shown that the left-hand side of the identity simplifies to cos² x. This is equal to the right-hand side of the identity, proving the given identity.

Therefore, we have shown that the left-hand side of the identity simplifies to cos² x. This is equal to the right-hand side of the identity, proving the given identity.

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