Bob has 4 times as many stickers as Tina. How many stickers does Bob have in terms of x?

Write an algebraic expression

Answer:

S= 15W

Step-by-step explanation:

Given data

We are told that Amanda saves $15 per week for her summer vacation

Let her total savings be S

and the number of weeks be W

Hence the expression for her savings is

S= 15W

Answer:

It is measuring the Buoyant Force.

Step-by-step explanation:

A spring scale shows the water-filled bottle to weigh approximately 6N in air, and nearly 0N (Zero N) when it is fully submerged in a large container of water. Since gravity is still acting on the bottle when it is submerged in the water, there must be a force of 6N pushing up on it. This is the buoyant force.

Answer:

y<x+1

Step-by-step explanation:

Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y<x+1

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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Quadrantal angles lie on coordinate axes, and the sine function applies to all angles, including quadrantal angles.

The statement does not make sense because the sine function is defined for all angles, including quadrantal angles. A quadrantal angle is an angle that lies on one of the coordinate axes (0°, 90°, 180°, or 270°) in the Cartesian coordinate system. In trigonometry, the sine function relates the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle. The sine function is defined for all angles, including the quadrantal angles.

For example, when dealing with the angle 0°, which is a quadrantal angle, the sine of 0° is defined and equal to 0. The sine function takes an angle as input and outputs a value between -1 and 1, representing the ratio of the opposite side to the hypotenuse in a right triangle. Therefore, the statement that "sinθ is undefined" for a quadrantal angle does not make sense as the sine function is defined for all angles, including quadrantal angles.

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Answer:

-93

Step-by-step explanation:

Answer:

540= 2x2x3x3x3x5

       or

540= \(2^{2}\)x\(3^{3}\)x5

Step-by-step explanation:

Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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Answer:

The answer is "Options A, B, and E represent mutually exclusive events".

Step-by-step explanation:

Two occurrences that can happen immediately called mutually incompatible. Let's now glance at our options and figure out where the statements are mutually incompatible events.

In Option A: You could see that landing on an unwanted portion and arriving on 2 are events that are locally incompatible, even as undesirable portion contains 3 and 4, and 2 were shaded.

In Option B: Arriving on a shaded part and falling on 3 are also mutually incompatible because there are 3 on a windows azure.

In Option C: A darkened portion and an increasing amount can land while 2 would be an even number as well as on the shaded portion. That number is very much the same.

In Option D: At the same time as 4 is greater than 3 and it is situated upon an undistressed section, landing and attracting a number larger than 3 can happen.

In Option E: Landing on a shaded part and landing on even a shaded part is an excluding event, since shaders may either be shaded or unlit.

Answer:

first, second and fifth

Step-by-step explanation:

edge 2021

We are given a table of temperatures that are being maintained at different times in a greenhouse . We are to consider that the temperatures increase at a constant rate and we are asked to create a graph for this.

To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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y-axis 6 5 4 3 2 1 x=ax S 4 -3 2  -1 1 2 3 4 5 6 -1 -2.    

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A transformation modifies the parent function's graph.

The graph of a parent function is changed by a transformation. Transformations come in three different flavors: translations, reflections, and dilations.

A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.

Making pictures or replicas of an object is part of transformation geometry. You are introduced to transformation geometry in grade 9 through the use of translation, reflection, dilation, and rotation.

The foundation of the problem transformation approach is the notion that, if we are unable to address the given problem directly, we will move it to a setting where we can do so. The method's fundamental component is how the problem is broken down into smaller tasks.

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The definite triple integrals that are well-defined and whose results are real numbers are 1 and 3.

The triple integral \(∫∫∫ zyc dxdydz\)over the region R defined by 0 ≤ z ≤ y and 0 ≤ y ≤ 1 is definite. In this case, the integration is carried out over a bounded region, and the integrand is a continuous function, ensuring a well-defined result. The limits of integration are finite, and the integral evaluates to a real number.

The triple integral\(∫∫∫ sin(zy^2) dydzdz\) over the region R defined by 0 ≤ z ≤ 1 and 0 ≤ y ≤ e is also definite. Similar to the first case, the integration is performed over a bounded region, and the integrand is continuous. The limits of integration are finite, leading to a well-defined result that is a real number.

Both of these integrals satisfy the conditions for definiteness, as they are over bounded regions with continuous integrands. They can be evaluated numerically to obtain their specific values.

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Answer:

1)

Y-intercept: -3

Slope: 2

Equation: y = 2x - 3

Step-by-step explanation:

I just answered one since it was only for 5 points. :)

The given linear system has infinitely many solutions of the form x₁ = x₂ = s, x₃ = t, where s and t are real numbers. Therefore, the solution to the linear system is x₁ = (7/2)x₃ - 46.5, x₂ = (13/10)x₃ - 13.5, and x₃ = t, where t is a real number.

To solve the system using elementary row operations, we can transform the augmented coefficient matrix to echelon form and then perform back substitution.

The augmented coefficient matrix for the given system is:

[1 -4 5 | 49]

[2 1 1 | 8]

[-3 2 -2 | -32]

Using elementary row operations, we can perform the following steps to transform the matrix to echelon form:

Step 1: Multiply the first row by -2 and add it to the second row.

Step 2: Multiply the first row by 3 and add it to the third row.

The updated matrix becomes:

[1 -4 5 | 49]

[0 9 -9 | -90]

[0 -10 13 | 135]

Now, let's perform back substitution to find the solution:

From the third row, we can obtain:

-10x₂ + 13x₃ = 135 --> x₂ = (13/10)x₃ - 13.5

From the second row, we can substitute the value of x₂:

9x₂ - 9x₃ = -90 --> 9((13/10)x₃ - 13.5) - 9x₃ = -90 --> x₃ = t

Finally, substituting the values of x₂ and x₃ into the first row, we get:

x₁ - 4((13/10)x₃ - 13.5) + 5x₃ = 49 --> x₁ = (7/2)x₃ - 46.5

Therefore, the solution to the linear system is x₁ = (7/2)x₃ - 46.5, x₂ = (13/10)x₃ - 13.5, and x₃ = t, where t is a real number.

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The binomial probability model is useful in situations with discrete-valued numerical variables. Hence, the answer is option (a) discrete-valued numerical variables.

The binomial distribution is a probability model that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (e.g., success or failure, heads or tails, etc.).

The binomial distribution can be used to model a wide range of real-world scenarios, such as the number of defective products in a batch of goods, the number of heads in a series of coin flips, or the number of people who respond positively to a survey question.

Therefore, the correct option is (a)  discrete-valued numerical variables.

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Step-by-step explanation:

the domain of the function f(x)=−2x(x−1)(x−2) is all the real numbers.

so the correct answer is c. (-oo , oo)

\((-\infty, \infty)\)

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

Explanation:

The domain is the set of all allowed x inputs of a function.

For this function, the domain is the set of all real numbers. This is because we can replace x with any number we want. There isn't any worry about division by zero errors for instance. We also don't have to worry about square roots of negative numbers.

The set of real numbers can be represented by the interval \(-\infty < x < \infty\) telling us x can span from negative infinity to positive infinity. We can't reach either endpoint.

That compound inequality then condenses to the interval notation \((-\infty, \infty)\). The use of parenthesis says to exclude the endpoint.

Answer:850

Step-by-step explanation:

I hope it helps

Answer:

q ^ p

Step-by-step explanation:

The symbolic form of the statement would be:

q ∧ p

Where q represents "m angle A + m angle B = 180°" and p represents "angle A and Angle B are supplementary".

The ∧ symbol represents "and" in logic, so the statement can be read as "q and p".

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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Answer:

at least 80%

Step-by-step explanation:

Answer: Lightning struck 22.5 times in 6 minutes, of the second storm.

First Storm

7/4= 1.75 strikes per minute

Second Storm

1.75+2=3.75

3.75*6=22.5 strikes in the second storm

Answer

so uh

Step-by-step explanation:

thats how to solve

Answer:

The answer is c

Step-by-step explanation: