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Answer:

v= 141.3

v= pi × r^2 × h

v= 3.14 × 3^2 × 5

v= 3.14 × 9 × 5

v=141.3

The square root of 0.268 is approximately 0.517.

To solve the expression √0.268, let's break it down step by step:

Recognize that √0.268 represents the square root of the number 0.268.

Start by approximating the value of the square root using a calculator or a numerical method.

The square root of 0.268 is approximately 0.517.

Verify the solution by squaring the approximate value obtained in Step 2. \((0.517)^2\) is equal to approximately 0.267989, which is very close to 0.268.

Round the approximate value obtained in Step 2 to the desired level of precision.

In this case, let's keep three decimal places.

Thus, the square root of 0.268 is approximately 0.517.

Therefore, √0.268 is approximately equal to 0.517, with an error margin due to rounding.

It is important to note that the exact value of √0.268 is an irrational number and cannot be expressed precisely as a finite decimal.

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Answer:

16x^2=49           square root both sides

4x=7

x=7/4

Answer:

a = 5

b = 4

c = 2

Step-by-step explanation:

5 - 0 = 5

8 + 4 = 12 and 4 + 8 = 12

6 + 8 and 12 + 2 is 14

Answer:

\(\neq\)

Step-by-step explanation:

If Point C was located between A & B, then:

\(AC+CB=AB\)

However, we are told Point C is not; therefore:

\(AC+AB\neq AB\)

Answer:

2a (blue)

2b (pink/purple)

3b (light blue)

4a (red)

4a (green)

6a (yellow)

2a (purple)

2a+2b (orange)

6a (pink)

4a-b (pinkk)

4a-2b (purple)

6a (green)

Step-by-step explanation:

2 right triangles (2a) make a square

4 right triangles (4a) make a rectangle

2 right triangles (2a) make a bigger triangle

This alone can help with most of them by combining these together and adding/removing semicircles.

Vector equation of the line L: r = P₀ + td, where r is a position vector on the line, t is a scalar parameter, and d is the direction vector.

a) To determine the vector equation and scalar parametric form of the line L, we can use the point-direction form of a line. Given: Point on the line: P₀ = (2, -5, 3), Direction vector: d = 2i + 2j + k. Vector equation of the line L: r = P₀ + td, where r is a position vector on the line, t is a scalar parameter, and d is the direction vector. Substituting the values: r = (2, -5, 3) + t(2i + 2j + k). Scalar parametric form of the line L: x = 2 + 2t, y = -5 + 2t

z = 3 + t

b) To find the point of intersection between the line L and the plane A, we need to substitute the values of x, y, and z from the scalar parametric form of the line into the equation of the plane. Given: Equation of plane A: x - 3y + 2z = -1. Substituting the scalar parametric form of the line into the equation of the plane: (2 + 2t) - 3(-5 + 2t) + 2(3 + t) = -1. Simplifying the equation: 2 + 2t + 15 - 6t + 6 + 2t = -1, 10t = -24, t = -2.4, Substituting the value of t back into the scalar parametric form of the line, we can find the point of intersection: x = 2 + 2(-2.4) = -0.8, y = -5 + 2(-2.4) = -10.8, z = 3 + (-2.4) = 0.6

Therefore, the point of intersection between the line L and the plane A is (-0.8, -10.8, 0.6). c) To find the distance between plane A and plane B, we can use the formula for the distance between two parallel planes. The formula states that the distance between two parallel planes Ax + By + Cz + D₁ = 0 and Ax + By + Cz + D₂ = 0 is given by: Distance = |D₂ - D₁| / √(A² + B² + C²). Given: Equation of plane A: x - 3y + 2z = -1, Equation of plane B: -x + 3y - 2z = -13.

Comparing the equations, we have: A = 1, B = -3, C = 2, D₁ = -1, D₂ = -13. Plugging these values into the distance formula: Distance = |-13 - (-1)| / √(1² + (-3)² + 2²), Distance = |-12| / √(1 + 9 + 4), Distance = 12 / √14. Therefore, the distance between plane A and plane B is 12 / √14.

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Answer:

Yes It Does

Step-by-step explanation:

The Equation DOES represent 4 + (-7) + 5 Which = 2 The arrows represent this process from down to up.

Hope it helps!

A typical bagel can be equivalent to about 4-5 slices of bread, depending on the size of the bagel and the size of the bread slices being compared.

A bagel is a type of bread that is typically denser and larger than sliced bread. Bagels are made by boiling and then baking dough made from flour, water, yeast, and other ingredients. They are often round in shape, with a hole in the middle, and have a chewy texture.

In terms of nutritional content, bagels typically contain more carbohydrates and calories per serving than sliced bread. This is because bagels are larger and denser, which means they contain more flour and therefore more carbohydrates. In addition, some types of bagels may contain added sugar or other ingredients that increase their calorie count.

In terms of serving size, a typical bagel is larger than a slice of bread. A standard bagel may weigh around 100-120 grams, while a slice of bread may weigh around 25-30 grams. Therefore, one bagel is equivalent to roughly 4-5 slices of bread in terms of weight and overall size.

It is worth noting that the number of slices of bread that one bagel is equivalent to may vary depending on the size of the bagel and the size of the bread slices being compared. In general, however, a bagel is a portion of more calorie-dense food than sliced bread and should be consumed in moderation as part of a balanced diet.

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Answer:

(4,2)

Step-by-step explanation:

x,y > -x, y

The company's claim can be evaluated using a hypothesis test. The null hypothesis, denoted as H0, assumes that the true proportion of chips that do not fail in the first 1000 hours is 55% or lower.

Ha stands for the alternative hypothesis, which assumes that the real proportion is higher than 55%. This test has a significance level of 0.01.

A sample of 800 chips was taken based on the information provided, and it was discovered that 60% of them do not fail in the first 1000 hours. A one-sample percentage test can be used to verify the assertion.  The test statistic for this test is the z-score, which is calculated as:

\(\[ z = \frac{{p - p_0}}{{\sqrt{\frac{{p_0(1-p_0)}}{n}}}} \]\)

If n is the sample size, p0 is the null hypothesis' assumed proportion, and p is the sample proportion.

If we substitute the values, we get:

\(\[ z = \frac{{0.6 - 0.55}}{{\sqrt{\frac{{0.55(1-0.55)}}{800}}}} \]\)

The z-score for this assertion is calculated, and we find that it is approximately 2.86.

In order to determine whether there is sufficient data to support the company's claim, we compare the computed z-score with the essential value. At a significance level of 0.01 the critical value for a one-tailed test is approximately 2.33.

Because the estimated z-score (2.86) is larger than the determining value (2.33), we reject the null hypothesis. Therefore, the company's assertion that more than 55% of the chips do not fail in the first 1000 hours of use is supported by sufficient data at the 0.01 level.

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 This is an example of resonance where all three structures contribute to the description of the anion and none of them are more accurate than the others. The sum of the formal charges for each of the resonance structures is equal to the net charge of the anion.

The carbonate anion can be represented by three equivalent resonance structures. These structures differ in the placement of electrons and the distribution of formal charges on the individual atoms. Structure B has a formal charge of -0.67 on the oxygen atom and a formal charge of 0.33 on the carbon atom.

Structure D has a formal charge of 0.33 on the oxygen atom and a formal charge of -0.67 on the carbon atom. Structure E has a formal charge of 0.67 on the oxygen atom and a formal charge of -0.67 on the carbon atom.

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An equation represents proportional relationship when dividing the quantities of the equation results in a quotient that is always the same.

Equation: y = mx and m is a constant value, which means is the same.

A. Equation: 120 - x = L

Equation from alternative A is NOT proportional since the division of the quantities doesn't result in a constant.

B. Equation: 1.08p = t

Dividing total cost per item's price, will always give the sales tax, which is constant. So, this equation IS proportional.

t/p=1.08

C. Equation: x=m/4

This equation is proportional because dividing marbles per how much each sister gets, always gives the number of sisters:

m/x=4

D. Equation: V= 12s^2

This equation is NOT proportional because side length is squared, so it is not constant linearly.

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Answer:

\(x=6\)

Step-by-step explanation:

Given:

\(AB=3x-1\\XZ=34\\\)

Here , A is the midpoint of XY and B is the midpoint of YZ.

Thus, we can say that AB is one-half of XZ.

To solve for x using the midpoint segment theorem, we have:

\(AB=\frac{1}{2} *XZ\\3x-1=\frac{1}{2}*34\)

Let's solve for x:

\(3x-1=17\\\)

Add 1 to both sides:

\(3x-1+1=17+1\\3x=18\)

Divide both sides by 3:

\(\frac{3x}{3} = \frac{18}{3} \\\\x=6\)

Answer: \(x=6\)                        

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Answer:

yes it does

Step-by-step explanation:

please mark brainiest.

Answer:

Step-by-step explanation:

The probability that they have an average weight of greater than 10 pounds and less than 15 pounds is 0.84134

In this question we have been given there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random.

We need to find the probability that they have an average weight of greater than 10 pounds and less than 15 pounds.

Given, μ = 12, σ = 8, n = 4

P(X > 8)

= P(z > (8 - 12 / 8/√4))

= P(z > -1)

= 1 - P(z ≤ -1)

= 1 - [1 - P(z ≤ 1)]

=  P(z ≤ 1)

= 0.84134

Therefore, the required probability is 0.84134

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There are polynomials that satisfy the condition p = p^2, and W is not empty. Hence, statement D is correct answer,

To analyze the set W, which consists of all 1st degree polynomials (or less) such that p = p^2, we will consider each statement and determine its validity.

Statement A: W is closed under scalar multiplication.

For a set to be closed under scalar multiplication, multiplying any element of the set by a scalar should result in another element of the set. In this case, let's consider a polynomial p = ax + b, where a and b are constants.

To test the closure under scalar multiplication, we need to multiply p by a scalar k:

kp = k(ax + b) = kax + kb

Notice that kp is still a 1st degree polynomial (or less) because the highest power of x in the resulting polynomial is 1. Therefore, W is closed under scalar multiplication. This makes statement A true.

Statement B: W doesn't contain the zero vector.

The zero vector in this case would be the polynomial p = 0. However, if we substitute p = 0 into the equation p = p^2, we get:

0 = 0^2

This equation is true for all values of x, indicating that the zero vector (p = 0) satisfies the condition p = p^2. Therefore, W does contain the zero vector. Hence, statement B is false.

Statement C: W is NOT closed under addition.

For a set to be closed under addition, the sum of any two elements in the set should also be an element of the set. In this case, let's consider two polynomials p1 = a1x + b1 and p2 = a2x + b2, where a1, a2, b1, and b2 are constants.

If we add p1 and p2:

p1 + p2 = (a1x + b1) + (a2x + b2) = (a1 + a2)x + (b1 + b2)

The resulting polynomial is still a 1st degree polynomial (or less) because the highest power of x in the sum is 1. Therefore, W is closed under addition. Thus, statement C is false.

Statement D: W is empty.

To determine if W is empty, we need to find if there are any polynomials that satisfy the condition p = p^2.

Let's consider a general 1st degree polynomial p = ax + b:

p = ax + b

p^2 = (ax + b)^2 = a^2x^2 + 2abx + b^2

To satisfy the condition p = p^2, we need to equate the coefficients of corresponding powers of x:

a = a^2

2ab = 0

b = b^2

From the first equation, we have two possible solutions: a = 0 or a = 1.

If a = 0, then b can be any real number, and we have polynomials of the form p = b. These polynomials satisfy the condition p = p^2.

If a = 1, then we have the polynomial p = x + b. Substituting this into the equation p = p^2:

x + b = (x + b)^2

x + b = x^2 + 2bx + b^2

Equating the coefficients, we get:

1 = 1

2b = 0

b = b^2

The first equation is true for all x, and the second equation gives us b = 0 or b = 1.

Therefore, there are polynomials that satisfy the condition p = p^2, and W is not empty. Hence, statement D is correct option.

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The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is 0.39.

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, can be calculated using conditional probability.

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

P(A and B) = P(T or P on second draw and F on first draw) = P(T on second draw and F on first draw) + P(P on second draw and F on first draw)

= (3/9) x (4/10) + (2/9) x (4/10) = 14/90

To find P(B), we know that it is 0.4.

Therefore, the conditional probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is:

P(A|B) = P(A and B) / P(B) = (14/90) / 0.4 ≈ 0.39

So the probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is approximately 0.39.

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Answer:

Step-by-step explanation:

Answer:

Danielle biiked 1348 meters more that Ryan

Step-by-step explanation:

SOLUTION

Let's illustrate this with a diagram

Now we will use SOHCAHTOA to solve this

We have just the adjacent side and the hypotenuse

Therefore, the hypotenuse is 2x

Answer:

Step-by-step explanation:

The least number of miles she would have to drive per year to make leasing no more expensive than purchasing is 48500 miles.

Given:

She can lease a car for $420 per month (on an annual basis). Under this plan, the cost per mile (gas and oil) is $0.06. If she were to purchase the car, the fixed annual expense would be $4700, and other costs would amount to $0. 08 per mile.

Let x be the least miles.

420 * 12 + 0.06x < > 4700 + 0.08x

multiply by 100 on both sides.

504000+6x < > 470000+8x

97000 < > 2x

48500=x

Therefore the least number of miles she would have to drive per year to make leasing no more expensive than purchasing is 48500 miles.

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Answer:

Given

no of Grade 6 students = 220

no of Grade 7 students = 40 more than grade 6 students

Step-by-step explanation:

boys Grade 7 students = no of Grade 6 students - 40 more than grade 6 students

boys Grade 7 students = 220 - 40

boys Grade 7 students = 180 grade 7 boy students are enrolled

Therefore, 180 grade 7 boy students are enrolled.

Step-by-step explanation:

x²+2x=-1

x²+2x+1=0

x²+x+x+1=0

x(x+1)+1(x+1)=0

(x+1)(x+1)=0

(x+1)²=0

x+1=0

x=-1

let's solve :

hence, value of x = -1

Answer:

2

Step-by-step explanation:

12:1,2,3,4,6,12

18:1,2,3,6,9,18

32:1,2,4,8,16,32

h.c.f = 2

Answer:

153.86

Step-by-step explanation:

formula - πr²

= 3.14 * 7²

= 153.86

Let us see a definition and example of each transformation.

The shape is flipped across an imaginary line to make mirror images.

The shape is moved around a point.

The shape is moved from one position to another in any direction.

In this case, we have a yellow point and a red shape that moves around the point.

Therefore, the transformation that is demonstrated when the fan blades turn is a rotation.

The measurement of ∠FDG is 122°        

The incenter of a triangle is the center of its inscribed circle which is the largest circle that will fit inside the triangle. This circle is also called an incircle of a triangle.

We have the following information available from the question is:

Point D is the incenter of triangle BCA.

∠FHG = 61°

We have to find the measure of 2FDG.

Now, According to the question:

By the Incentre of triangle:

The angle subtended by an arc of a circle at the center is double times the angle subtended by it any point of the remaining part of circle

∠FDG = 2 × FHG

            = 2 × 61

            = 122°

Hence, The measurement of ∠FDG is 122°

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