80,40,20,_,5

What’s the pattern?

Answer:

-10x +18=-4y

Step-by-step explanation:

the 18 will come to the right side of the equal sign to become positive

the -4y will also move to the left side to become negative

Answer:

24

Step-by-step explanation:

12+4+8= 24

12+12=24

8+4=12

Your answer is 24

Answer:

A sacrament is an outward efficacious sign instituted by Christ to give grace. Jesus Christ himself is the sacrament, as he gave his life to save mankind.

Step-by-step explanation:

Hope this helps:)

Answer:

3x + y = -10

y = -3x-10

Answer:

Ans is in the attachment

Plz mark as brainliest

Hope it helps :)

To prove that triangle ABE is congruent to triangle CDE, we need to show that all three corresponding pairs of sides and angles are equal.

Firstly, we can see that angle ABE is congruent to angle CDE as they are both right angles (90 degrees).

Secondly, we can see that side AB is congruent to side CD as they are both the hypotenuse of their respective triangles.

Lastly, we need to show that side AE is congruent to side CE. We can do this by using the Pythagorean theorem.

In triangle ABE, we have:

AE^2 = AB^2 - BE^2

In triangle CDE, we have:

CE^2 = CD^2 - DE^2

Since AB is congruent to CD and BE is congruent to DE (they are corresponding sides), we can substitute and simplify:

AE^2 = CD^2 - DE^2 - BE^2

CE^2 = CD^2 - DE^2

Therefore, if we subtract the second equation from the first, we get:

AE^2 - CE^2 = -BE^2

Since BE is a positive length, -BE^2 is negative. Therefore, AE cannot be equal to CE.

Thus, we have shown that triangle ABE is not congruent to triangle CDE.

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Answer:

a

Step-by-step explanation:

Answer:

f=2 and f=11/8

Step-by-step explanation:

Let's solve your equation step-by-step.

f(−4)=−8

Step 1: Simplify both sides of the equation.

−4f=−8

Step 2: Divide both sides by -4.

−4f

−4

=

−8

−4

f=2

Let's solve your equation step-by-step.

f(−8)=−11

Step 1: Simplify both sides of the equation.

−8f=−11

Step 2: Divide both sides by -8.

−8f

−8

=−11/−8

f=11/8

The solution to the system of Equations is x = 1 and y = -2.

Binh was solving a system of equations using the graphing method. This method involves graphing the given equations and finding the point where the graphs intersect. In this case, Binh incorrectly graphed the equation y = x - 3.

To solve the system correctly, Binh should follow these steps:

1. Rewrite the equation, if needed, in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. The given equation, y = x - 3, is already in this form.

2. Determine the slope (m) and the y-intercept (b) of the equation. For the equation y = x - 3, the slope (m) is 1 and the y-intercept (b) is -3.

3. Graph the equation by first plotting the y-intercept on the y-axis and then using the slope to find additional points on the graph.

4. Repeat steps 1-3 for the second equation in the system.

5. Observe where the graphs intersect. This point represents the solution to the system of equations.

In this case, Binh should have found the point of intersection to be (1, -2). This means that the solution to the system of equations is x = 1 and y = -2. By accurately graphing the equations and finding the correct point of intersection, Binh can ensure that they have solved the system of equations correctly.

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The Power series representation of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

The Maclaurin series expansion method can be used to get the power series of such functions if the function has a composite part, such as the multiplication or quotient form.

An infinite series in mathematics known as a "power series" can be compared to a polynomial with an infinite number of terms.

The Maclaurin series will be used in this instance to expand the function:

\(tan^-^1x\) = \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^2^n^+^1}{2n+1}\)

and for    \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{(x^3)^2^n^+^1}{2n+1}\)

=>  \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\)  -------(i)

and f(x) = \(x^8tan^-^1x^3\)

now we need to multiply \(x^8\) in the above equation to get the power series expansion of f(x)

\(x^8tan^-^1x^3\) = \(x^8\) \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\)

=> \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3^+^8}{2n+1}\)

=>  \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

so the expansion of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

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Answer:

$8250

Step-by-step explanation:

In other words, a 15% discount for a item with original price of $55000 is equal to $8250 (Amount Saved). Note that to find the amount saved, just multiply it by the percentage and divide by 100.

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Answer:

Step-by-step explanation:

15% is equivalent to 15/100 or 0.15

So just multiply $55,000 by 0.15.

After multiplying, you should get 8250.

So 8250 is your answer

The point that preserves the function is option  A(-3,-8).

What do you mean by function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

According to the given question,

We have four option for the answer.

Note: if f is a function then each number of the domain has an unique image.

Since (regarding the table) the image of 9 is 6 then the answer D is wrong

The same apply on answers B and C .

Therefore, the right answer is A(-3,-8).

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Answer:

6x(x+2xy+y^2)

Step-by-step explanation:

The appropriate p-value for a t-value of 2.73 with 5 degrees of freedom is approximately 0.05. This indicates that there is a 5% chance of observing a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true.

In statistics, the p-value measures the strength of evidence against the null hypothesis. The null hypothesis states that there is no significant difference or effect in the population being studied. The p-value is calculated by determining the probability of obtaining a test statistic (in this case, the t-value) as extreme as or more extreme than the observed value, assuming the null hypothesis is true.

To determine the appropriate p-value for a t-value, we typically consult a t-distribution table or use statistical software. In this case, with 5 degrees of freedom and a t-value of 2.73, we look up the critical value or use software to find the corresponding p-value. The p-value associated with a t-value of 2.73 and 5 degrees of freedom is approximately 0.05.

The p-value of 0.05 indicates that there is a 5% chance of obtaining a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true. Generally, a p-value of 0.05 or lower is considered statistically significant, implying that the observed result is unlikely to have occurred by chance alone. If the p-value is below a predetermined significance level (often denoted as α, commonly set at 0.05), we reject the null hypothesis in favor of an alternative hypothesis. If the p-value is above the significance level, we fail to reject the null hypothesis.

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Answer:

The order goes by -

O - one

T - two

T - three

F - four

F - five

S - six

S - seven

The next two numbers are -

E - eight

N - nine

Answer:

N, T

It's like one, two, three, four, five, six, seven, eight, nine, ten.

Answer:PR = 64; m∠2 = 63°; m∠RSI = 54°

because GRIP is a rectangle

=>PR = GI = 2PS

<=> 10x + 4 = 2.(6x - 4)

<=> 10x + 4 = 12x - 8

<=> 2x = 12

<=> x = 6

because PR = GI => PR = 10x + 4 = 10.6 + 4 = 64

GRIP is a rectangle => PS = SI

=> ΔPSI is a isosceles triangle

=> m∠1 = m∠2

but m∠2 + m∠3 = 90°

=> m∠1 + m∠3 = 90°

<=> 2y + 7 + 6y + 3 = 90

<=> 8y + 10 = 90

<=> 8y = 80

<=> y = 10

with y = 10 => m∠2 = 2.10 + 7 = 27

we also have: RS = SI

=> ΔRSI is a isosceles triangle

=> m∠3 = m∠4 = 90° - 27° = 63°

=> m∠RSI = 180° - 63°.2 = 54°

Step-by-step explanation:

Answer: 210

(I have Sensory Processing Disorder, so my explanation might look weird and long. Sorrrrrrry... :)

Step-by-step explanation:

12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 = 210

We have drawn the graph for the given inequality.

What is inequality?

Inequality is a mathematical statement that compares two values or expressions and shows their relative size. It is represented by the symbols >, <, ≥, or ≤, which respectively mean "greater than", "less than", "greater than or equal to", and "less than or equal to". Inequalities can also include variables and can be used to describe a range of possible values for that variable.

For the given inequality y ≤ 3/5x-5

we can draw the graph as shown below:

Hence, we have drawn the graph for the given inequality.

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Yes, $9 for 4 visitors and $18 for 8 site visitors are proportional.

To determine whether or not $9 for 4 visitors and $18 for 8 visitors are proportional, we need to test if the ratio of the value to the number of visitors is the equal for both cases.

The ratio of cost to the quantity of visitors for $9 and four visitors is:

$9/4 visitors = $2.25/ visitors

The ratio of value to the quantity of visitors for $18 and eight visitors is:

$18/8 visitors = $2.25/ visitors

We are able to see that both ratios are equal to $2.25 per visitor.

Therefore, $9 for 4 visitors and $18 for 8 site visitors are proportional.

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Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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The slope of the tangent line is: dr/dθ (θ=π/4) = -3sin(π/4) = -3/√2

To find the slope of the curve r=3+3cosθ at the points θ≠π/2, we need to first take the derivative of r with respect to θ. Using the chain rule, we get:
dr/dθ = -3sinθ
Next, we can find the slope of the tangent line at a point by evaluating this derivative at that point. For example, at θ=0, the slope of the tangent line is:
dr/dθ (θ=0) = -3sin(0) = 0

At θ=π/4, the slope of the tangent line is:

dr/dθ (θ=π/4) = -3sin(π/4) = -3/√2

We can continue to evaluate the slope of the tangent line at other points θ≠π/2. To sketch the curve along these tangents, we can draw a small section of the curve centered at each point, and then draw a straight line through that point with the corresponding slope. This will give us a rough idea of what the curve looks like along these tangents.

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To sketch a slope field for the given differential equation dy/dx = xy^3 at the 9 points indicated, follow these steps:

1. Identify the differential equation: dy/dx = xy^3.

2. Calculate the slope at each of the 9 points using the given equation. For example, if one of the points is (1, 1), then the slope would be (1)(1^3) = 1.

3. Draw a short line segment at each point with the slope calculated in step 2. Make sure the line segment follows the direction of the slope, i.e., if the slope is positive, the line segment should go upwards; if the slope is negative, the line segment should go downwards; if the slope is zero, the line segment should be horizontal.

4. Repeat steps 2 and 3 for all 9 points to complete the slope field.

By following these steps, you will have a visual representation of the slopes of the tangent lines to the solution curves of the given differential equation at the specified points.

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Answer:

Infinite

Step-by-step explanation:

12x 8 = 12x 8

Infinitely many solutions, as left side = right side.

Answer:

3.24 pounds

Step-by-step explanation:

3*1.08=3.24

Step-by-step explanation:

a) The test statistic is (4.4-4)/(1.3/sqrt(70)) = 2.83. The p-value is 0.0023. Since the p-value is less than 0.05, we reject the null hypothesis.

b) The test statistic is (5.3-4.4)/sqrt((1.4^2/106)+(1.3^2/70)) = 4.09. The p-value is less than 0.0001. Since the p-value is less than 0.05, we reject the null hypothesis.

∂z/∂s = -sin()cos()t9 + cos()sin()9st2 and ∂z/∂t = sin()cos()s - cos()sin()81t.

To find ∂z/∂s and ∂z/∂t, we use the chain rule of partial differentiation. Let's begin by finding ∂z/∂s:

∂z/∂s = (∂z/∂)(∂/∂s)[(st9) cos(s9t)]

We know that ∂z/∂ is cos()cos() - sin()sin(), and

(∂/∂s)[(st9) cos(s9t)] = t9 cos(s9t) + (st9) (-sin(s9t))(9t)

Substituting these values, we get:

∂z/∂s = [cos()cos() - sin()sin()] [t9 cos(s9t) - 9st2 sin(s9t)]

Simplifying the expression, we get:

∂z/∂s = -sin()cos()t9 + cos()sin()9st2

Similarly, we can find ∂z/∂t as follows:

∂z/∂t = (∂z/∂)(∂/∂t)[(st9) cos(s9t)]

Using the same values as before, we get:

∂z/∂t = [cos()cos() - sin()sin()] [(s) (-sin(s9t)) + (st9) (-9cos(s9t))(9)]

Simplifying the expression, we get:

∂z/∂t = sin()cos()s - cos()sin()81t

Therefore, ∂z/∂s = -sin()cos()t9 + cos()sin()9st2 and ∂z/∂t = sin()cos()s - cos()sin()81t.

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The volume of the prism when Joe is packing the cubes will be 210cm³.

It should be noted that the volume of the prism given in this situation will be:

= Length × Width × Height

In this case, since Joe is packing 1-centimeter cubes into a prism. The volume will be:

= Length × Width × Height

= 5 × 6 × 7

= 210cm³

In conclusion, the volume will be 210cm³.

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Answer:

Answer: 2.5

Step-by-step explanation:

It seems as if everything is divided by two so 5/2 is 2.5

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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Answer:

75 percent

Step-by-step explanation:

To find percent increase, do (final-initial/initial) * 100.

This would be 133-76/76 * 100, meaning you get a 75 percent increase.

The percent increase is 75 %.

The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.

Given:

Sonya's heart rate was 76 beats per minute.

After running, heart beat rate= 133  beats per minute.

So, percent increase

= (133- 76)/ 76 x 100

= 0.75 x 100

= 75%

Hence, the percent increase is 75 %.

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Each sentence should be completed with the correct unit as follows:

Measurement can be defined as an act or process through which the size, weight, magnitude, quantity, volume (capacity), dimensions, or distance traveled by a physical object or body is taken, especially for the purpose of an experiment.

In Mathematics, the correct unit of measurement for the weight of a physical body such as a large horse is either pound, grams, or kilograms. Additionally, the correct unit of measurement for the volume (capacity) of a physical object such as a bucket is either liter, gallon, cubic centimeter, or cubic meter.

Lastly, the correct unit of measurement for the size (width) of a physical object such as a piece of paper is either inches, feet, centimeter, or meter.

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