serious question... give me 3 reasons why phones are important and ill give brainly( please help me i dont wanna joke around i actually need the answer)

Mr. Baker must pay $3.15 in sales tax, and the total amount he needs to pay for his purchases is $48.15. To calculate the amount of sales tax Mr. Baker needs to pay and the total amount he must pay for his purchases, we need to consider the prices of the goods and the sales tax rate.

Let's assume the prices of the goods Mr. Baker bought are as follows:

- Item 1: $10.00

- Item 2: $20.00

- Item 3: $15.00

To calculate the sales tax, we multiply the total purchase amount by the sales tax rate. The total purchase amount is the sum of the prices of all the items.

Total purchase amount = $10.00 + $20.00 + $15.00 = $45.00

Sales tax amount = Total purchase amount * Sales tax rate

               = $45.00 * 0.07

               = $3.15

Therefore, Mr. Baker must pay $3.15 in sales tax.

To calculate the total amount he must pay, we add the sales tax amount to the total purchase amount.

Total amount to pay = Total purchase amount + Sales tax amount

                  = $45.00 + $3.15

                  = $48.15

Therefore, Mr. Baker must pay a total of $48.15 for his purchases, including the sales tax.

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Answer:

I assume that you already have the conjecture written down. If not, the conjecture is "The sum of consecutive odd integers starting at 1 is always a perfect square"

Proof: ↓↓↓↓

Step-by-step explanation:

We can start with the numbers given

1 + 3 = 4

\(\hookrightarrow\)  4 is a perfect square = 2²

1 + 3 + 5 = 9

\(\hookrightarrow\) 9 is a perfect square = 3²

1 + 3 + 5 + 7 = 16

\(\hookrightarrow\)  16 is a perfect square = 4²

We can continue further:

1 + 3 + 5 + 7 + 9 = 25

\(\hookrightarrow\) 25 is a perfect square = 5²

-Chetan K

Answer:

Step-by-step explanation:

Consecutive odd integers make an AP with the first term a = 1 and common difference d = 2.

We see the given sums are perfect squares.

Lets show the sum is always a perfect square.

Sum of the first n terms is:

As we see the sum of the first n terms is the square of n.

Answer:

My answer is -9.becasiug

Answer:

Math class ends at 10:35 AM.

Step-by-step explanation:

To find the answer, you need to add 40 minutes to the timestamp if 9:55 AM. There are 60 minutes in an hour, so you add five minutes to get to 10:00. 40-5=35. Now add 35 minutes to 10:00. The answer is 10:35 AM.

Answer:

The answer is 10:35 AM.

Step-by-step explanation:

Here, we know that in one hour there's 60 minutes.

1 hour = 60 minutes.

So, add 40 minutes in 9:55

9:55 + 40 minutes = 10:35 AM

Thus, Mr Gleasons math class will end at 10:35 AM.

The plane's drift angle is 5.89°.

To solve this problem, we can use the following steps:

- Find the components of the plane's velocity and the wind's velocity.

- Find the resultant velocity of the plane and the wind.

- Find the direction of the resultant velocity.

The components of the plane's velocity are:

X-component: 350 * cos(40°) = 265.86 mph

Y-component: 350 * sin(40°) = 188.56 mph

The components of the wind's velocity are:

X-component: 40 * cos(70°) = -16.73 mph

Y-component: 40 * sin(70°) = -28.26 mph

The resultant velocity of the plane and the wind is:

X-component: 265.86 - 16.73 = 249.13 mph

Y-component: 188.56 - 28.26 = 160.3 mph

The direction of the resultant velocity is:

tan(theta) = (160.3 / 249.13)

theta = arctan(160.3 / 249.13) = 5.89°

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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The measure of this angle in degrees is 20.52 degrees.

Step by step explanation:Given data is,1/360th of the circumference of the circle is 0.59 cm long Arc length, s = 103.25 cm We need to find the measure of the angle in degrees. Since we know that, the angle subtended by an arc at the center of the circle is 2θ, where θ is the angle subtended by the arc at any point on the circumference of the circle.And the circumference of the circle is 360θ.

Hence, we can find the length of the circumference of the circle. Circumference of the circle = 360 × 0.59Circumference of the circle = 212.4 cmNow, we can find the radius of the circle.r = s/2πr = 103.25/(2 × π) = 16.441 cmDiameter of the circle = 2 × rDiameter of the circle = 32.882 cmThe circumference of the circle = πdCircumference of the circle = π × 32.882Circumference of the circle = 103.26 cm Now, we can find the angle of the circle. Angle of the circle = 360θ103.26 = 360θθ = 103.26/360θ = 0.286 degrees So, the measure of this angle in degrees is 20.52 degrees.

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Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

The angle (in radians) between vectors u and v is approximately 1.66 radians, rounded to two decimal places.

To find the angle between two vectors, we can use the dot product formula and the magnitudes of the vectors. Let's calculate the angle between vectors u and v:

Given:

u = 4i - 6j

v = 5i + 4j

Step 1: Calculate the dot product of u and v.

The dot product of two vectors u and v is given by:

u · v = |u| |v| cosθ

where |u| and |v| are the magnitudes of vectors u and v, respectively, and θ is the angle between them.

To calculate the dot product, we multiply the corresponding components of u and v and sum them:

u · v = (4 * 5) + (-6 * 4) = 20 - 24 = -4

Step 2: Calculate the magnitudes of vectors u and v.

The magnitude of a vector is given by:

|u| = √(u₁² + u₂²)

For vector u:

|u| = √((4)² + (-6)²) = √(16 + 36) = √52 ≈ 7.21

For vector v:

|v| = √((5)² + (4)²) = √(25 + 16) = √41 ≈ 6.40

Step 3: Calculate the angle θ.

Using the dot product formula mentioned earlier, we have:

-4 = (7.21)(6.40)cosθ

Solving for cosθ:

cosθ = -4 / (7.21 * 6.40) ≈ -0.086

To find θ, we can take the inverse cosine (arccos) of cosθ:

θ ≈ arccos(-0.086) ≈ 1.66 radians

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Answer:

x=-1

Step-by-step explanation:

Step 1: Factor

\(x^{2} +2x+1\) => \((x+1)(x+1)\)

Step 2: Solve for x.

\(x+1=0\)

   \(-1\)     \(-1\)

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

\(x=-1\)

Required value of f(x) is \(125 \times {2}^{5 + x} \)

What is function?

In mathematics, a function is a rule or a mapping that assigns each element from a set (called the domain) to a unique element in another set (called the range). The domain and range can be any set, but they are often subsets of the real numbers.

Functions are often denoted using algebraic expressions or formulas, which describe the relationship between the input values (the domain) and the corresponding output values (the range). For example, the function f(x) = 2x + 3 maps each value of x to the value 2x + 3.

Functions are important tools in many branches of mathematics, science, engineering, and other fields. They allow us to model and analyze a wide variety of phenomena, from the behavior of physical systems to the patterns of human behavior.

Here given function,

\(f(x) = 2000 \times 2( {2})^{x} \)

We know,

\( {a}^{x} \times {a}^{y} = {a}^{x + y} \)

So,

\(fx) = 2000 \times {2}^{x + 1} \\ = 2 \times 2 \times 2 \times2 \times 125\times {2}^{x + 1} \\ = 125 \times {2}^{4} \times {2}^{x + 1} \\ = 125 \times {2}^{4 + x + 1} \\ = 125 \times {2}^{5 + x} \)

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Correct question is " Simplify

\(f(x) = 2000 \times 2( {2})^{x} \)"

To find the volume of figures 6-11, we need to apply the appropriate formula based on the shape of the figure and its dimensions. Once we have the measurements, we can plug them into the formula and solve for the volume. It is important to round to the nearest hundredth when necessary, as indicated in the directions.

Certainly, I can help you with finding the volume of figures 6-11. Before we begin, it is important to understand that the volume of a figure is the amount of space it takes up in three-dimensional space. To find the volume of a figure, we need to know its dimensions and apply the appropriate formula.
Let's start with figure 6, which is a rectangular prism. A rectangular prism has three dimensions: length, width, and height.

The formula for finding the volume of a rectangular prism is V = lwh, where l represents the length, w represents the width, and h represents the height.

So, to find the volume of figure 6, we need to multiply its length, width, and height. Once we have these measurements, we can plug them into the formula and solve for the volume.
Figure 7 is a cylinder. The formula for finding the volume of a cylinder is V = πr^2h, where π represents pi, r represents the radius of the base of the cylinder, and h represents the height of the cylinder.

To find the volume of figure 7, we need to know its radius and height. Once we have these measurements, we can plug them into the formula and solve for the volume.
Figure 8 is a cone. The formula for finding the volume of a cone is V = (1/3)πr^2h, where π represents pi, r represents the radius of the base of the cone, and h represents the height of the cone. To find the volume of figure 8, we need to know its radius and height. Once we have these measurements, we can plug them into the formula and solve for the volume.
Figure 9 is a sphere. The formula for finding the volume of a sphere is V = (4/3)πr^3, where π represents pi and r represents the radius of the sphere. To find the volume of figure 9, we need to know its radius. Once we have this measurement, we can plug it into the formula and solve for the volume.
Figure 10 is a pyramid.

The formula for finding the volume of a pyramid is V = (1/3)Bh, where B represents the area of the base of the pyramid and h represents the height of the pyramid. To find the volume of figure 10, we need to know the area of its base and its height. Once we have these measurements, we can plug them into the formula and solve for the volume.
Figure 11 is a cube.

A cube has three equal dimensions: length, width, and height. The formula for finding the volume of a cube is V = s^3, where s represents the length of one side of the cube.

To find the volume of figure 11, we need to know the length of one side. Once we have this measurement, we can plug it into the formula and solve for the volume.
In conclusion, to find the volume of figures 6-11, we need to apply the appropriate formula based on the shape of the figure and its dimensions.

Once we have the measurements, we can plug them into the formula and solve for the volume. It is important to round to the nearest hundredth when necessary, as indicated in the directions.

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Answer:

All 90 rabbits are white.

Step-by-step explanation:

"112 times as many white rabbits as black rabbits"

112 · Black rabbits = White rabbits

"a cage with 90 rabbits ", "Each rabbit is either black or white."

Black rabbits + White rabbits = 90 rabbits

How many white rabbits are in the cage?

Intuitevely  we can see that all the 90 rabbits must be white,

since for 1 black rabbit will be join by 112 white ones.

We can calculate:

112 · Black rabbits = White rabbits

We can substitute the   Black rabbits by White rabbits/112

       Black rabbits + White rabbits = 90 rabbits

White rabbits/ 112 + White rabbits = 90 rabbits

                    113 White rabbits /112 = 90 rabbits

                               White rabbits = 112· 90/113 rabbits

                                 White rabbits = 10080/113 rabbits

                                 White rabbits ≈ 89.2 rabbits

                                 White rabbits ≈ 90 rabbits  (if we round up)

Therefore, x = 0, x = 4, and x = -5/3 are the answers to the equation 3x(x-4)(3x+5) = 0.

An equation in mathematics is a claim that two expressions are equivalent. An equals sign (=) separates the left and right sides of an equation, which usually has two sides. Variables, constants, and mathematical operations like addition, subtraction, multiplication, division, exponents, and roots may be used in the formulas on either side of the equals sign. Finding the number of the variable or variables that make an equation true is the goal of an equation.

given

The zero product property, which asserts that at least one of the factors must be zero if the product of two or more factors equals zero, can be used to solve the equation 3x(x-4)(3x+5) = 0.

We then solve for x by setting each component equal to zero:

3x = 0, 3x + 4, or 3x + 5 = 0.

When we factor x into each solution, we obtain:

3x = 0 --> x = 0

x-4 = 0 —> x = 4

Therefore, x = 0, x = 4, and x = -5/3 are the answers to the equation 3x(x-4)(3x+5) = 0.

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Answer:

b

Step-by-step explanation:

Answer:

you were right, the answer is

D) the time spend reading book and the number of pages remaining to be read in the book.

Answer: One abutment

Step-by-step explanation: When a fixed bridge is created, there must be at least one abutment of the bridge.

Answer:

M=3/4J or J=4/3M

Step-by-step explanation:

3:4, 9:12, and 15:20 are ratios that are equal to each other.

If you multiply 3:4 by 3 you get 9:12 and if you multiply it by 4 you get 15:20

another way to check is to plug the numbers in.

3 is 3/4 of 4

9 is 3/4 of 12

15 is 3/4 of 20

so the equation is true

Answer:

A) 7.5 feet, B) 6 feet, C)8.25 feet, D)4.875, E)15 feet, F)12.5 feet

Step-by-step explanation:

per inch, multiply by 1.5

Answer:

15

12

16.5

9.75

30

25

Step-by-step explanation:

The scale on a set of architectural drawings for a house is 1/2 inch = 1.5 feet. Find the length of each part of the house.

In my opinion, the easiest way to do this is to find how many feet equals 1 inch so that it is easier to multiply.

Multiply both sides of 1/2 inch = 1.5 feet to get

1 inch = 3 feet.

If every inch in the drawing equals 3 feet, then we can write this equation:

If s inches = 3s feet

We can use this a substitute the values given.

Now, let's dive into the problem.

1. Living room:

in this part, s=5, so 3s feet = 3 * 5 = 15 feet

2. Dining room:

s = 4, so 3s feet = 3 * 4 = 12 feet

3. Kitchen:

s = 5.5, so 3s feet = 3 * 5.5 = 16.5 feet

4. Laundry room:

s = 3.25, so 3s feet = 3 * 3.25 = 9.75 feet

5. Basement:

s = 10, so 3s feet = 3 * 10 = 30 feet

6. Garage

s = 8 + 1/3, so 3s feet = 3 * 8 1/3 = 25 feet

I hope this helps! Feel free to ask any questions!

Based on the above, the capacity of a 5-liter tin is about  500 cm³.

To be able to convert the capacity of a 5-liter tin to its volume in cm³, One need to use the conversion factor that is, 1 liter is equivalent to 100 cm³.

So, to be able to calculate the volume of a 5-liter tin in cm³, one have to multiply the capacity (5 liters) by the conversion factor (100 cm³/liter):

Volume in cm³ = 5 liters x 1000 cm³/liter

                           = 500 cm³

Therefore, the capacity of a 5-liter tin is about  500 cm³.

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See full text below

Convert the capacity of a 5 litre tin to its volume in cm³.1litre is equivalent to 100cm³

Answer:

Check to see if each input value is paired with only one output value. If so, the table represents a function.

Yes. It is a function.

Step-by-step explanation:

Answer:

x=-1/10

Step-by-step explanation:

When it comes to Bootstrap confidence interval and randomization hypothesis both have a common ground, both of them are regarded as resampling methods that are efficient in measuring accuracy using intervals, prediction error, confidence, variance, bias etc. It also focuses on the crucial point of evaluating the variability of statistics.

The quick set of methods used to construct Bootstrap confidence interval and randomization distribution are similar considering the way they are used.

Furthermore, the thought of using Bootstrap confidence interval or randomization hypothesis depends on the research question. Hence,  choosing from both depends on the type of approach the researcher needs to elucidate the research.

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The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

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Answer: 14.4

Step-by-step explanation:

60 * (24/100) = 14.4

a) The area of triangle PQR is:

Area = √(6)/2

b) The equation of the plane that contains P, Q, and R is:

x + y + 2z = 2

a) For the area of the triangle PQR, we can use the formula:

Area = 1/2 |PQ x PR|

where PQ and PR are the vectors from P to Q and R, respectively, and x denotes the cross product.

So, we have:

PQ = <1-0, -1-0, 2-1> = <1, -1, 1>

PR = <-1-0, 1-0, 1-1> = <-1, 1, 0>

Taking the cross product:

PQ x PR = <1, -1, 1> x <-1, 1, 0> = <-1, -1, -2>

Taking the magnitude:

|PQ x PR| = √((-1)² + (-1)² + (-2)²) = √(6)

So, the area of triangle PQR is:

Area = 1/2 × √(6) = √(6)/2

b) To find the equation of the plane that contains P, Q, and R, we can use the point-normal form of the equation:

n · (r - P) = 0

where n is the normal vector of the plane (which is perpendicular to the plane), r is any point on the plane, and · denotes the dot product.

To find the normal vector, we can take the cross product of PQ and PR:

n = PQ x PR = <-1, -1, -2>

Now, we can use any of the three points to find the equation of the plane. Let's use P:

n · (r - P) = 0

Substituting n and P:

<-1, -1, -2> · (r - <0, 0, 1>) = 0

Expanding the dot product:

-1(r_x - 0) - 1(r_y - 0) - 2(r_z - 1) = 0

Simplifying:

-r_x - r_y - 2r_z + 2 = 0

So, the equation of the plane that contains P, Q, and R is:

x + y + 2z = 2

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Answer:

(1) 6x + 3 = 15

(2) x = 2

Step-by-step explanation:

(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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