4) Dan bought nine new baseball trading cards to add to his collection. The next
day his dog ate half of his collection. There are now only forty - four cards left.
How many cards did Dan start with ?

Answer:

6$

Step-by-step explanation:

1 turkey sub = 26-20

= 6$

I hope it helps.

Answer: \(\Large\boxed{6}\)

Step-by-step explanation:

Given expression

\(2(2x^2+xy-z^2)-xy\)

Given information

\(x=2\\\)

\(y=-1\)

\(z=-2\)

Substitute values into the given expression

\(2[2(2)^2+(2)(-1)-(-2)^2]-(2)(-1)\)

Simplify the exponents

\(2[2(4)+(2)(-1)-(4)]-(2)(-1)\)

Simplify by multiplication

\(2[8-2-4]+2\)

Simplify values in the parenthesis

\(2[6-4]+2\)

\(2[2]+2\)

Simplify by multiplication

\(4+2\)

\(\Large\boxed{6}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

\( \red{22}\)

Step-by-step explanation:

Given that,

x = 2

y = ( -1 )

z = ( -2 )

To find the value of given expression, you have to replace x, y and z with 2, -1 and -2 respectively.

Let us solve it now.

\(2(2x² + xy-z²)-xy \\ 2((2 \times 2 ^{2}) + (2 \times - 1 ) - ( { - 2}^{2})) - (2 \times - 1 )\)

You have to solve this equation according to the BODMAS theorem.

That is,

B = brackets

O = of

D = division

M = multiplication

A = addition

S = subtraction

\(2((2 \times 2 ^{2}) + (2 \times - 1 ) - ( { - 2}^{2})) - (2 \times - 1 ) \\ 2((2 \times 4) - 2 - ( - 4)) - ( - 2) \\ 2(8 - 2 + 4) + 2 \\ 2(6 + 4) + 2 \\ 2 \times 10 + 2 \\ 20 + 2 \\ 22\)

The correct options are -

For the stated function.

The graph for the function g(x) is given in the question.

As the slope of function g(x) is most steep for the interval [1,2].

Thus, g(x) increases at a faster rate over the interval [1,2].

The graph for the function f(x) is attached,

f(x) = 3x+ 2

From the graph, it is shown that the slope of the function g(x) is most steep for the interval [0,1].

Thus, f(x) increases at a faster rate over the interval [0,1].

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Hi there! The answer for this question would be 9!

Explanation:

0.09 is also 9 since 1.00 is 1 whole in fraction form. This means that 0.09 is also 9/100 in fraction form.

Final Result: 9

Answer: 9

Step-by-step explanation:

On both sides of the equation, there is the 27/100. So we can essentially ignore that because the other two terms just have to be equal. The 0.09 has a 9 in the hundredths place. So that means the decimal is equivalent to 9/100

Answer:

x/20=15/12,so x =25

Step-by-step explanation:

we have only one outcome that is neither positive nor negative, then the statement is false.

What is square root?

A value known as the square root of a number is one that, when multiplied by itself, yields the original number. An alternative to square rooting a number is to use it. Therefore, the concepts of squares and square roots are connected. The original number is equal to the square root of any integer, which is equivalent to a number.

Let's assume that m is an integer that is positive, such that (m.m) = (m2) = m.

This seems to be true because:

-2*-2 = 2*2 = 4

So √4 = 2 and -2

But particularly the square root of zero is:

√0 = 0

So here we have only one outcome that is neither positive nor negative, then the statement is false.

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer:

Step-by-step explanation:

Part A.

An appropriate design for the new study to examine whether vitamin E oil reduces pain in patients suffering from bulging disks in the thoracic region of the back would be a randomized controlled trial (RCT). The study should include the following elements:

1.Treatments: The study should include two treatment groups, one receiving vitamin E oil injections and the other receiving a placebo (e.g. a neutral oil) injections.

2.Method of treatment assignment: Patients should be randomly assigned to either the vitamin E oil treatment group or the placebo group, to control for potential confounding variables.

3.Variables that should be measured: The study should measure the following variables:

-Pain levels: Pain should be measured using a validated self-reported pain scale (such as the Visual Analog Scale or the Numeric Rating Scale) before and after each treatment session.

-Patient's demographics: Age, sex, and medical history should be recorded to evaluate the effect of these factors on the treatment outcome.

-Number of treatments: The number of treatments should be recorded for each patient.

-Adverse effects: Any adverse effects should be recorded, such as redness or swelling at the injection site.

It is important to note that this is a simplified design and a real study would need to consider many other aspects such as sample size, statistical analysis, and ethical considerations.

Part B

If the study consisted of 100 young patients and 100 old patients instead of 200 patients aged 20-40, I would likely modify the study design. One reason is that age can be a confounding variable and could affect the outcome of the study. Studies have shown that age can affect pain perception and management, older adults have been found to have more chronic pain, and different pain management strategies might be more effective for different age groups.

I would modify the study design by including an age variable in the analysis and stratifying the sample by age, creating two subgroups (young and old patients) and comparing the results separately. This would allow us to see if there is any age-related differences in the effectiveness of vitamin E oil in reducing pain in patients suffering from bulging disks in the thoracic region of the back.

Another modification would be to include a larger sample size to ensure that there are enough patients in each subgroup to detect any potential differences in the effect of vitamin E oil on pain reduction between young and old patients.

It is important to note that this is a simplified design and a real study would need to consider many other aspects such as sample size, statistical analysis, and ethical considerations.

Part C

To construct 90% confidence intervals for the proportion of pain reduction for each treatment group, we can use the following steps:

1.Calculate the sample proportion of pain reduction for each treatment group:

For the Vitamin E oil group, the proportion of pain reduction = (52 / 100) = 0.52

For the Placebo group, the proportion of pain reduction = (35 / 100) = 0.35

2.Calculate the standard error (SE) for each proportion:

SE = sqrt( (p * (1-p)) / n )

Where p is the sample proportion and n is the sample size.

For the Vitamin E oil group, SE = sqrt( (0.52 * (1-0.52)) / 100) = 0.049

For the Placebo group, SE = sqrt( (0.35 * (1-0.35)) / 100) = 0.045

3.Calculate the margin of error (ME) for each proportion:

ME = z * SE

Where z is the critical value for a 90% confidence level, which is approximately 1.645.

For the Vitamin E oil group, ME = 1.645 * 0.049 = 0.0806

For the Placebo group, ME = 1.645 * 0.045 = 0.0743

4. Calculate the lower and upper bounds of the 90% confidence intervals for each proportion:

Lower bound = p - ME

Upper bound = p + ME

For the Vitamin E oil group, the 90% confidence interval is:

0.52 - 0.0806 = 0.4394 and 0.52 + 0.0806 = 0.6006

For the Placebo group, the 90% confidence interval is:

0.35 - 0.0743 = 0.2757 and 0.35 + 0.0743 = 0.4243

Therefore, the 90% confidence interval for the proportion of pain reduction for the Vitamin E oil group is (0.4394, 0.6006) and the 90% confidence interval for the proportion of pain reduction for the Placebo group is (0.2757, 0.4243)

Answer:

1. 1,384.74 cm^2

2. 50.24 ft^2

3. 10pi

Step-by-step explanation:

Just use circumference equation of Circumference= 2 pi R

and Area = pi R^2

The function y = |x| - 1 is a translation of 1 unit downwards of the parent absolute value function, and its graph is the first one shown in the images.

Here we want to graph:

y = |x| - 1

Notice that if we take the parent absolute value function:

y = |x|

And we translate it one unit downwards, we will get:

y = |x| - 1

Which is the function that we want to graph.

So to select the correct graph, we need to find the one that is the parent absolute value function translated one unit downwards. It is the one with the vertex at (-1, 0), which is the graph that appears on the first image.

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Answer: 568000

Step-by-step explanation:

Answer:

49 cents

Step-by-step explanation:

just divide 5.86 by 12

Answer:

$0.48

Step-by-step explanation:

$5.86 divided by 12 = 0.48 when rounded to the nearest penny.

The probability that there will be an alarm within the next 60 days, given an average activation rate of once every 200 days, is approximately 0.259 or 25.9%.

To find the probability that there will be an alarm within the next 60 days, we need to calculate the cumulative distribution function (CDF) of the exponential distribution.

Given that the average time between activations is 200 days, we can calculate the rate parameter (λ) of the exponential distribution as λ = 1 / 200.

The probability of an alarm occurring within the next 60 days can be found by evaluating the CDF of the exponential distribution at 60 days.

P(Alarm within 60 days) = 1 - e^(-λ * 60)

Substituting the value of λ, we have:

P(Alarm within 60 days) = 1 - e^(-1/200 * 60)

Using a calculator, we can compute this probability.

P(Alarm within 60 days) ≈ 1 - e^(-0.3) ≈ 0.259

Therefore, the probability that there will be an alarm within the next 60 days is approximately 0.259, or 25.9%.

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The complete paragraph proof is explained below.

Two or more given angles are said to be supplementary when on adding there individual measure, it produce the sum of angles on a straight line i.e. 180^o.

To complete the paragraph proof, we have;

m<1 + m< = 180^o (definition of supplementary angles)

m<2 - m<3 = m<2 - m<1

m<1 + m<2 = m<2 + m<3  (by the addition property of supplementary angles)

subtract m<2 from each side,

m<1 + m<2 - m<2 = m<2 + m<3 - m<2

you will get;

m<1 = m<3

Therefore, m<1 ≅ m<3

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Answer:

6. 7.5/1

7. 2.4/1

8. 40/1

Step-by-step explanation:

All you have to do is divide the 2 numbers to find the unit rate.

Answer:

6: 7.5 pizzas per Classroom

7: 2.4 Liters per test

8: 40 Points per Game

To determine the composition of transformations that maps figure efgh to figure efgh, we need to first identify the transformations involved.

A transformation is a change in position, size, or shape of a figure. In this case, we can see that figure efgh has not changed in size or shape, so the transformation must involve a change in position.

One possible transformation that could be involved is a translation, which involves moving the figure along a straight line without changing its size or shape. Another possible transformation is a rotation, which involves turning the figure around a fixed point.

To find the composition of transformations that maps figure efgh to itself, we need to experiment with different combinations of translations and rotations until we find one that works. For example, we could first rotate the figure 90 degrees clockwise around its center, and then translate it 2 units to the right and 3 units up. This composition of transformations would move figure efgh to a new position, but still maintain its size and shape.

Alternatively, we could first translate the figure 2 units to the right and 3 units up, and then rotate it 90 degrees counterclockwise around its center. This would also result in a new position for the figure, but with the same size and shape as the original.

In conclusion, there are multiple compositions of transformations that could map figure efgh to itself, including combinations of translations and rotations. It is important to experiment with different options and test them to ensure that they maintain the size and shape of the figure.

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Answer: 83

Step-by-step explanation:90-16

Answer:

74

Step-by-step explanation:

just subtract 90-16 and 74's your answer!

Oh and have a nice day and stay safe, all love from jen!<3

Answer:

that is the orgin which means the middle.

Step-by-step explanation:

Answer:  A. 1/2
-------------------------------------------------
The total number of balls is 12.

The total number of balls is 21.

The probability of selecting the blue ball:

P(blue)= 3/20
-
The probability of selecting the yellow ball:

P(yellow)=5/12
------------------------------------------------------------------------
P(yellow)+ P(blue) = 1/2

AWNSER = (1/2)

Answer:

Step-by-step explanation:

f(8) = -5(8 - 2) + 21

= -30 + 21

= -9

The value of the Riemann sum S₆ is -154.

To calculate the Riemann sum S₆ for the function f(x) = x^2 - 3x - 6 on the interval [1, 7], we partition the interval into six subintervals of equal length. Let c₁ = 1, c₂ = 3, c₃ = 3, c₄ = 5, c₅ = 5, and c₆ = 7 represent the midpoints of these subintervals.

The Riemann sum S₆ is given by S₆ = Σ f(cᵢ) Δxᵢ, where Σ denotes summation, f(cᵢ) is the function value at each midpoint, and Δxᵢ is the length of each subinterval.

Using the given values, we have S₆ = f(1)(2) + f(3)(2) + f(3)(2) + f(5)(2) + f(5)(2) + f(7)(2).

Evaluating the function at each midpoint, we have S₆ = (-8)(2) + (0)(2) + (0)(2) + (16)(2) + (16)(2) + (30)(2) = -154.

Therefore, the value of the Riemann sum S₆ is -154.

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Both sine and cosine functions are solutions to this particular differential equation. These functions are commonly encountered in the study of oscillatory systems, such as simple harmonic motion.

Your question asks if there is a mathematical function that, when you take the derivative of it twice, the solution is the negative of that function. In other words, you are looking for a function f(x) such that f''(x) = -f(x).
The function you are looking for is the sine function, denoted by f(x) = sin(x). Here's a step-by-step explanation of how this function meets the criteria:
Start with the function f(x) = sin(x).
Take the first derivative with respect to x: f'(x) = cos(x).
Take the second derivative with respect to x: f''(x) = -sin(x).
As you can see, after taking the derivative twice, you obtain -sin(x), which is the negative of the original function, sin(x).
Another function that meets this criterion is the cosine function, g(x) = cos(x). Here's the step-by-step explanation:
Start with the function g(x) = cos(x).
Take the first derivative with respect to x: g'(x) = -sin(x).
Take the second derivative with respect to x: g''(x) = -cos(x).
After taking the derivative twice, you obtain -cos(x), which is the negative of the original function, cos(x).
Both sine and cosine functions are solutions to this particular differential equation. These functions are commonly encountered in the study of oscillatory systems, such as simple harmonic motion.

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A repeated-measures study is more likely to find a significant effect as compared to an independent-measures design due to the reduced contribution of variance due to individual differences.

A repeated-measures design is an experiment where the same participants perform all tasks. It is also known as a within-subjects design. All participants in this design have the same characteristics, including age, IQ, and cultural background. The researcher determines whether a subject receives a treatment, a placebo, or control, and then the subject is given the remaining treatments in a different order.

Repeated measures are more likely to show significant results because it eliminates variation between participants.In comparison, an independent-measures design is an experimental design in which each subject is assigned to only one of two groups. Independent variables are manipulated in these designs, and the dependent variables are measured.

Each subject is only in one group, so the same subject cannot be used to compare different groups. This is a between-subjects design, which is also known as an independent-groups design. Because the variation between participants has a more significant impact on the data in independent-measures designs, they are less likely to show significant results.

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Okay, here we have this:

Considering the provided information, we obtain the following expression:

Expected payoff=800/100

Expected payoff=4/5

Expected payoff=80%

Expected payoff=$0.80.

Finally we obtain that the expected payoff is $0.80.

Answer:

b > 3

Step-by-step explanation:

\(12b-15>21\\\\12b-15+15>21+15\\\\12b>36\\\\\frac{12b>36}{12}\\\\\boxed{b>3}\)

Hope this helps.

Given:

The expression is:

\(8x^4-2x\)

To find:

The coefficient and the exponent for each term of the given expression.

Solution:

Coefficients: In the product of s number and a variable, the number is coefficient of the variable.

Exponent: The number in the power is called exponent.

We have,

\(8x^4-2x\)

Here, the terms are \(8x^4,-2x\).

For the term \(8x^4\), the coefficient is 8 and the exponent is 4.

For the term \(-2x\), the coefficient is -2 and the exponent is 1.

Therefore, the coefficients are 8 and -2, and the exponent are 4 and 1.

Answer: Angle X

Reason: For any triangle, the largest angle is always opposite the longest side.

∠X is the largest measure on the triangle XYZ.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The angle opposite to the largest side is the largest measure.

So,

XY = 6 and opposite angle = ∠Z

YZ = 9 and opposite angle = ∠X

XZ = 8 and opposite angle = ∠Y

We see that,

YZ > XZ > XY

So,

∠X > ∠Y > ∠Z

Thus,

∠X is the largest measure on the triangle XYZ.

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Answer:

a = 9 ; b = 26 ; c = 24

Step-by-step explanation:

(x^2+3x+2x+6)(x+4)

(x^2+5x+6)(x+4)

x^3+5x^2+6x+4x^2+20x+24

x^3+9x^2+26x+24

Answer: 1,629.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Perimeter = sum of the length of the sides

                    = 13.4 +9.8 +12.3 +11.5

                   = 47 cm

b) Perimeter = 55.3 cm

11.5 + 15.7 +19.8 +x = 55.3

                     47 + x = 55.3

                             x = 55.3 - 47

                             x = 8.3 cm

c) Perimeter of regular hexagon = 67.5 cm

                     Length of one side = 67.5÷ 6

                                                     = 11.25 cm

d) Cost of 1 metre = $ 8.95

Cost of 7.5 metres = 8.95 * 7.5

                               = $ 67.125