a)
be
85°
120°
(2x - 10°
X​

Answer:

14 minutes

Step-by-step explanation:

We take

63 / 6 = 10.5 words per minute

So, Nachelle can text 10.5 words per minute.

At this rate, how many minutes would it take her to text 147 words?

We take

147 / 10.5 = 14 minutes

So, at this rate, it would take her 14 minutes to text 147 words.

Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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Answer:

57.1mm^2

Step-by-step explanation:

4*4=16

16/2=8mm^2 cross section

(4*3) + (4*3) + (5.7*3) = 41.1mm

8*2=16

41.1+16=57.1mm^2

The surface area of the prism is S = 57.1 mm²

The surface area of the prism is calculated as

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

The area of the triangular prism is A = ph + ( 1/2 ) bh

Given data ,

Let the area of the 2 triangles be T

Let the area of the 2 rectangles be R

Let the area of the third side be U

Now , the total surface area of the prism = T + R + U

where T = 2 x ( 1/2 ) ( 4 x 4 )

T = 16 mm²

R = 2 x ( 3 x 4 )

R = 24 mm²

And , U = 5.7 x 3

U = 17.1 mm²

Therefore , the total surface area of prism S = 16 mm² + 24 mm² + 17.1 mm²

S = 57.1 mm²

Hence , the surface area of prism is S = 57.1 mm²

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The change in quantities can be represented as percentage

The percentage decrease in miles driven is 34.83%

The given parameters are:

\(\mathbf{Initial = 22250}\)

\(\mathbf{Final = 14500}\)

The percentage decrease is calculated as:

\(\mathbf{\%Decrease = \frac{Final - Initial}{Initial} \times 100\%}\)

Substitute known values

\(\mathbf{\%Decrease = \frac{14500- 22250}{22250} \times 100\%}\)

\(\mathbf{\%Decrease = \frac{-7750}{22250} \times 100\%}\)

\(\mathbf{\%Decrease = \frac{-775000}{22250} \%}\)

\(\mathbf{\%Decrease = -34.83 \%}\)

The negative sign implies that, the change represents a decrement.

Hence, the percentage decrease in miles driven is 34.83%

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Answer:

n = - 3

Step-by-step explanation:

Slope line r: (5-1)/(3+1) = 4/4 = 1

Slope of the perpendicular line: -1

p=(-4,4)

y-intercept: 4 - (-1)(-4) = 4 - 4 = 0

y = -x

(3,n) x = 3 and y = n

n = - 3

Answer:

25%

Step-by-step explanation:

Lets find how many people were at the pool at the 4th week.

1060 - 110 + 145 - 247 =

848

Use percent error formula,

\(\frac{v_a-v_e }{v_e}\)

Actual - Estimate over Estimate

Actual (1st week): 1060

Estimate (4th week): 848

Plug into formula.

\(\frac{1060-848}{848}\)

Simplify.

\(\frac{212}{848}\)

Divide.

0.25

Multiply by 100 and write with a percentage sign.

0.25*100 = 25

25%

Answer:

The percent decrease is 20%

Step-by-step explanation:

First week : 1060 people

Second week: 1060 - 110 = 950 people

Third week : 950 + 145 = 1095 people

Fourth week: 1095 - 247 = 848 people

Make 1060 the whole (100%), we need to figure out 848 percent

848      x

1060   100

848 x 100 = 84800

84800  divided by 1060 = 20

From 1060 people to 848 people is a 20% decrease

The smallest positive integer n such that n/2 is a perfect square, n/3 is a perfect cube, and n/5 is a 5th power is 120.

Let's consider the prime factorization of each number.

\(n/2 = 2^x * 3^y * 5^z,\) where x, y, and z are non-negative integers.

\(n/3 = 2^x * 3^(y+1) * 5^z\), where x, y, and z are non-negative integers.

\(n/5 = 2^x * 3^y * 5^(z+1),\)where x, y, and z are non-negative integers.

For n/2 to be a perfect square, x must be even. For n/3 to be a perfect cube, y must be even. For n/5 to be a 5th power, z must be even.

The smallest possible values of x, y, and z are x=2, y=2, and z=2. This gives us n =\(2^2 * 3^2 * 5^2\) = 120.

Any smaller value of n will not satisfy all of the conditions. For example, if n=60, then n/2 is a perfect square, but n/3 is not a perfect cube and n/5 is not a 5th power.

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Answer:

b i think please tell me if im wroung

Answer is 4.

Volume of cube:

The formula of volume of a cube of length l is l x l x l.

(Here), Given

volume of box = (14 x 14 x 14) = 2744 cubic inches.

1 blanket take 557cubic inches

Now, Number of blankets packed in a 14 inch box = 2744 / 557

=> 4.9

i.e., 4 complete blankets can pack.

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The slope for the given coordinate points is 1/2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

The given coordinates are (3,0) and (-5,-4).

Substitute (x₁, y₁)=(3,0) and (x₂, y₂)=(-5,-4) in slope formula, we get

Slope (m) = (-4-0)/(-5-3)

= -4/(-8)

= 1/2

Therefore, the slope is 1/2.

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The answer is (D). Testing the effectiveness of a mouthwash by allowing one group to use it and comparing the results with those of a group that doesn't use it.

In a probability sample also called "scientific" or "random" sample each member of the target population has a known and non-zero probability of inclusion in the sample.

Given four options out of which we are to select the correct one which is an experiment.

We can see that the options (A), (B) and (C) are not experiments, because their results are fixed from before. The results are not random in these three options.

On the other hand, the option (D) represents an experiment, because the outcome are random, not fixed.

Thus, (D) is the correct option.

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The value of the integral is 4π.

What is integral?

An integral is a mathematical concept that represents the area under a curve or the volume enclosed by a surface.

To evaluate the integral of the function \(f(x,y,z) = 1/\sqrt{(x^2+y^2+z^2)\) over the region W, which is the bottom half of a sphere of radius 3, we can use spherical coordinates. In spherical coordinates, the position of a point in 3D space is given by the radius ρ, the polar angle θ, and the azimuthal angle ϕ.

The sphere of radius 3 centered at the origin has equation ρ=3, and the bottom half of the sphere is given by θ ranging from 0 to π, and ϕ ranging from 0 to 2π. Therefore, the integral can be expressed as:

\(\int_{0}^{2\pi}\int_{0}^{\pi}\int_{0}^{3} \frac{1}{\rho^2} \rho^2 \sin(\phi) , d\rho , d\phi , d\theta\)

where sin(φ) is the Jacobian of the spherical coordinate transformation.

Evaluating the integral, we get:

\(\int_{0}^{2\pi}\int_{0}^{\pi}\int_{0}^{3} \frac{1}{\rho^2} \rho^2 \sin(\phi) , d\rho , d\phi , d\theta\)

\(\int_{0}^{2\pi}\int_{0}^{\pi} [-\cos(\phi)]\Bigg|_{0}^{3} , d\phi , d\theta\)

\(= \int\limits^2_0\pi2d\)θ

= 4π

Therefore, the value of the integral is 4π.

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The value of the integral is 4π.

What is integral?

An integral is a mathematical concept that represents the area under a curve or the volume enclosed by a surface.

To evaluate the integral of the function \(f(x,y,z) = 1/\sqrt{(x^2+y^2+z^2)\) over the region W, which is the bottom half of a sphere of radius 3, we can use spherical coordinates. In spherical coordinates, the position of a point in 3D space is given by the radius ρ, the polar angle θ, and the azimuthal angle ϕ.

The sphere of radius 3 centered at the origin has equation ρ=3, and the bottom half of the sphere is given by θ ranging from 0 to π, and ϕ ranging from 0 to 2π. Therefore, the integral can be expressed as:

\(\int_{0}^{2\pi}\int_{0}^{\pi}\int_{0}^{3} \frac{1}{\rho^2} \rho^2 \sin(\phi) , d\rho , d\phi , d\theta\)

where sin(φ) is the Jacobian of the spherical coordinate transformation.

Evaluating the integral, we get:

\(\int_{0}^{2\pi}\int_{0}^{\pi}\int_{0}^{3} \frac{1}{\rho^2} \rho^2 \sin(\phi) , d\rho , d\phi , d\theta\)

\(\int_{0}^{2\pi}\int_{0}^{\pi} [-\cos(\phi)]\Bigg|_{0}^{3} , d\phi , d\theta\)

\(= \int\limits^2_0\pi2d\)θ

= 4π

Therefore, the value of the integral is 4π.

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To express the area of the shaded region, set up one or more definite integrals using the given functions as limits of integration, either with respect to x or y.

To express the area of the shaded region in terms of one or more integrals, first identify the functions that bound the region. Let f(x) and g(x) be the functions bounding the region in the x direction, and h(y) and k(y) be the functions bounding it in the y direction.

(a) With respect to x: Area = ∫[g(x) - f(x)] dx, evaluated from a to b, where a and b are the limits of integration in the x direction.

(b) With respect to y: Area = ∫[k(y) - h(y)] dy, evaluated from c to d, where c and d are the limits of integration in the y direction.

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perimeter = 2(x - 6y) + 2(8x² - x - 4y)

2x - 12y + 16x² - 2x - 8y

= 16x² - 20y units

\(option \: a \: is \: the \: right \: answer \\ 3 + ( - 1) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment\)

Answer:

the answer above me (3+(-1)

Step-by-step explanation:

im taking the test rn

The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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There are 2 tablespoons in 1 fluid ounce. This conversion is often used in cooking and baking recipes, where ingredients are measured in ounces or tablespoons.

Fluid ounces and tablespoons are both units of volume used to measure liquids in cooking and baking recipes. One fluid ounce is equal to 29.5735 milliliters or approximately 2 tablespoons, which is equivalent to 6 teaspoons. Therefore, there are 2 tablespoons in 1 fluid ounce.

This conversion is important to know when following recipes that call for ingredients in fluid ounces or tablespoons. It allows for accurate measurement of ingredients, which is crucial for successful cooking and baking. Other common units of volume used in the kitchen include teaspoons, cups, and quarts, among others.

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Answer:B

Step-by-step explanation:

(X-4,Y+2)

The approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

To calculate the approximate volume of a cone, you can use the formula:

Volume = (1/3) * π * r^2 * h,

where r represents the radius of the cone's base and h represents the height of the cone.

Given that the radius (r) is 1.75 feet and the height (h) is 2.1 feet, we can substitute these values into the formula:

Volume = (1/3) * π * (1.75)^2 * 2.1

To calculate the approximate volume, we'll use the value of π as approximately 3.14:

Volume ≈ (1/3) * 3.14 * (1.75)^2 * 2.1

Now, we can perform the calculations:

Volume ≈ (1/3) * 3.14 * 3.0625 * 2.1

≈ 1.047 * 3.0625 * 2.1

≈ 6.478875

Therefore, the approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

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Answer:

====================

Triangle inequality theorem states that the sum of any two sides must be greater than the remaining side.

We see 10 + 10 = 20, so this is contradicting the mentioned theorem, therefore these lengths are not good to form a triangle.

We see 10 + 10 = 20, so this is contradicting the mentioned theorem, therefore these lengths are not good to form a triangle.

Given,

The lengths of triangle is given as:

10 , 10 and 20

To check the following three lengths form a right triangle.

Now, According to the question:

What is triangle inequality theorem ?

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

So, The length of triangle are 10, 10, 20

10 + 10 = 20

We see 10 + 10 = 20, so this is contradicting the mentioned theorem, therefore these lengths are not good to form a triangle.

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The reason our bodies only produce 1 to 2 liters of urine each day, despite the kidneys filtering out about 170 liters of fluid, is due to the reabsorption process in the nephrons.

Option A is the correct answer: The nephrons reabsorb the vast majority of the water, salt, and glucose back into the blood. As the filtered fluid passes through the nephrons, essential substances like water, salts, and glucose are reabsorbed and returned to the bloodstream. This reabsorption process helps maintain the balance of these substances in the body and prevents excessive loss through urine.

By reabsorbing the majority of the filtered fluid, the kidneys ensure that only a small amount of waste and excess substances are excreted as urine. This allows the body to conserve water and important nutrients while still eliminating waste products effectively.


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The length of the base of an isosceles triangle is 7

as given in the question,

the length of base be x

the length of the leg is 3x+2

the perimeter of the isosceles triangle is 39

Therefore, an isosceles triangle which has two equal sides or legs as well as two equal angles. The Greek words iso means same and skelos are the source of the name leg. An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.

If the length of

In an isosceles triangle,

The length of the two legs or sides is the same. The other leg is therefore 3x+2 if one leg is the other is also  3x+2.

The triangle's three sides add up to its perimeter

that is

=> x + (3x+2) + (3x+2) = 39

=> 7x + 4 = 39

=> 7x = 35

=> x = 5

the  value of x is 7

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The length of the base of an isosceles triangle is x = 7

Yes, there is enough information to solve for x. The perimeter of an isosceles triangle is the sum of all its sides. Since the perimeter is given and two sides are known, it can be expressed as follows:

x + (3x +2) + (3x +2) = 39

Solving for x,

5x + 4 = 39

5x = 35

x = 7

Therefore, the length of the base is 7. This can be verified by substituting the value of x into the equation for the perimeter, which would yield a result of 39.

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Answer:

Step-by-step explanation:

devide both sides by 4 it will be:

x^2 +3x -3/2 = 0

Answer: Therefore, we need to choose the smaller positive value of x:

x ≈ 1.8/8 = 0.225 inches

So, each side should be shortened by approximately 0.225 inches.

Step-by-step explanation:

Let's call the amount by which each side is shortened "x". After the board is shortened on all sides by "x", its new dimensions will be (12-2x) inches by (8-2x) inches. The area of the new board will be:

(12-2x)(8-2x)

We want this area to be 45 square inches, so we can set up the equation:

(12-2x)(8-2x) = 45

Expanding the left side of the equation, we get:

96 - 40x + 4x^2 = 45

Rearranging and simplifying, we get a quadratic equation:

4x^2 - 40x + 51 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 4, b = -40, and c = 51. Plugging in these values, we get:

x = [40 ± sqrt((-40)^2 - 4(4)(51))] / (2(4))

x = [40 ± sqrt(136)] / 8

x ≈ 3.3/8 or x ≈ 1.8/8

However, we can see that if we choose x = 3.3/8 (approximately 0.4125 inches), then the new dimensions of the board would be negative, which does not make sense. Therefore, we need to choose the smaller positive value of x:

x ≈ 1.8/8 = 0.225 inches

So, each side should be shortened by approximately 0.225 inches.

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1. The given statement "A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process" is True

2. The given statement "Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory" is True

1) Negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process.

Noise refers to any external or internal element that disrupts communication. Communication is the exchange of messages between two or more people, so noise in communication refers to anything that interferes with the exchange of messages.

2)Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory.

Herzberg's two-factor theory, also known as the motivation-hygiene theory, identifies the two types of factors that affect job satisfaction:

hygiene factors and motivating factors.

Employee motivation and pay satisfaction are examples of motivating factors that contribute to job satisfaction.

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Answer:

(p^2) + 3p - 18

Step-by-step explanation:

Have a nice day!

Answer:

2p+3

Step-by-step explanation:

(p+6)(p-3)

you have to open the brackets i.e

p+p+6-3

add p+p and you get 2p then you  subtract positive 6 from 3 and you get 3

so your answer will be 2p+3

Answer:

33.6 cm²

Step-by-step explanation:

Length x width = Area of the rectangle

5.6cm x 6cm = 33.6m²

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5