Consider the following series: È In : À "("+1) n=1 We will test this series for convergence or divergence. What test(s) is (are) applicable to test this series? 点击获取列表 (1) Determine whether this series converges or diverges. Converges Diverges O What test(s) is(are) applicable to test this series? 点击获取列表 Definition p-series test es converges or divers Alternating series test Geometric series test Divergence test All of the above

Answer:

4x -12

Step-by-step explanation:

is that what u needed lol

Step-by-step explanation:

-24 ==== ( 2×-6=-12___-12×2= -24)

The probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles =  0.0111

In this question we need to find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles.

Total marbles in tha bag

= 3 green marbles + 3 yellow marbles + 4 red marbles

= 10 marbles

the probability of drawing one marble from a bag,

P1 = 1/10

Now there are 9 marbles in the bag.

So, the probability of drawing second marble would be,

P2 = 1/9

So, the required probability of drawing two marbles (without replacement) from a bag would be,

P = P1 * P2

P = 1/10 * 1/9

P = 1/90

P = 0.0111

Therefore, the probability of drawing two marbles (without replacement) from a bag = 0.0111

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Answer:

13.

Step-by-step explanation:

If she misses 8 on the first and 5 on the next, you need to add to find the total number of points missed overall. 8 + 5 = 13. Therefore, she missed 13 points on the first two tests.

Answer:

cost price = $262.57

selling price = $302.48

Explanation:

The selling price is

Selling price = cost + markup

We know that markup is 15.2% of the cost price. Since the markup is $39.91,

dividing both sides by 0.152 gives

The selling price is

cost price + 15.2% of the cost price

= (100% + 15.2%) cost price

=115.2% cost price

Now, 115.2% of the cost price is

Hence the selling price is $302.48.

Therefore, to summerise,

cost price = $262.57

selling price = $302.48

#4: The transformation can be represented by (x, y - 8).

The value of x and y in the algebra (3x - y, 2) = (2, x + y) ​ are 1 and 1 respectively.

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Given the algebra:

(3x - y, 2) = (2, x + y) ​

Therefore, equation:

3x - y = 2        (1)

Also:

x + y = 2        (2)

From both equations, solving simultaneously:

x = 1, y = 1

The value of x and y are 1 and 1 respectively.

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The volume of the solid formed by rotating the region inside the first quadrant enclosed by the curves y = x and y = 5x about the x-axis is (250π/7) cubic units. When finding the volume of a solid of revolution, we use the method of cylindrical shells.

To calculate the volume, we integrate the area of each cylindrical shell formed by rotating an infinitesimally small strip about the x-axis. The height of each shell is the difference between the y-values of the two curves, which is (5x - x²). The circumference of each shell is given by 2πx, and the thickness is dx. Therefore, the volume of each shell is 2πx(5x - x²)dx.

To find the total volume, we integrate this expression over the interval where the two curves intersect. Setting\(y = x^2\)and y = 5x equal to each other, we get x² = 5x. Solving this equation, we find two intersection points: x = 0 and x = 5. Thus, the limits of integration are from 0 to 5.

Integrating the expression \(2\pi x(5x - x^2)dx\) from 0 to 5 gives us the volume of the solid formed by rotating the region inside the first quadrant. Evaluating this integral, we find the volume to be (250π/7) cubic units.

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Answer:

1.2 is the answer

Step-by-step explanation:

The rounding off of the number 1.248 to the nearest tenth is 1.2L

Rounding off numbers is a process used to simplify or approximate a numerical value to a specific degree of precision or to a specified number of decimal places. It involves adjusting a number to a nearby value that is easier to work with or more meaningful in a particular context.

When rounding off, you typically consider a specific digit in the number and look at the digit to the right of it. Depending on the value of that digit, you either increase or keep the original digit unchanged.

In the given problem, to round off the number to the nearest tenth;

1.248L ≈ 1.2L

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It is partially true that the problem with measurement is that researchers cannot account for errors statistically.

During measurements, there is a huge possibility that an error will occur and even no result or measurement can be 100% accurate. This happens due to many factors like mistakes, approximations, and other physical factors.

Coming to the statement, definitely researchers cannot account for errors. This is true, but this is not a problem since it is something that will, for sure, occur. The major goal is towards minimizing it.

So, the given statement is partially true.

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Answer:

(5.25, - 5.25 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 5.25, - 5.25 ) → (-(- 5.25), - 5.25 ) → (5.25, - 5.25 )

Answer:

24.25 years

Step-by-step explanation:

We know that average of a set = (sum of all terms) / (number of terms). Right now, we know two things: the average of the set (21 years) and the number of terms in the set (5). Therefore, we can rewrite the equation to solve for the sum of all terms.

We have: 21 = \(\frac{sum}{5}\)

sum = 21 · 5 = 105

Now we know the sum of ages of the 5 girls. We want to find the average age of the 4 remaining girls when we take out the girl who is 8 years old. As previously stated, to find the average of a set, we need to know two things: the sum of all terms in the set and the number of terms in the set. Right now, we only know one of those things: the number of terms in the set, which is 4. To find the sum, we can simply subtract the 8-year-old girl's age from the sum of ages of the 5 girls, which would be 105 - 8 = 97.

Therefore, the average age of the 4 remaining girls is \(\frac{97}{4} = 24.25\) years.

Hope this helps!

Answer:

24.25

Step-by-step explanation:

Since the average of 5 girls is 21, there total age is 105 (21*5)

If one of them is 8, 105-8 is 97 and 97/4 (because there is 4 girls left) is 24.25

Hope this helps you!

The factor of 14s + 7 is 7 (2s +1). A factor is a number that divides another number by itself with no residual.

Factor 14s + 7 :  7(2s + 1)

Steps

14s + 7

Rewrite 14 as 7 × 2

Rewrite 7 as 7 ×  1

=7 × 2 s + 7 ×  1

Factor out common term 7

=7(2s + 1)

Hence, The factor of 14s + 7 is 7 (2s +1). A factor is a number that divides another number by itself with no residual.

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Answer:

x=20

Step-by-step explanation:

30°-60°-90°Δ

a=10

b=20

c=10\(\sqrt{3}\)

x=b

x=20

Answer:

40 units^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh

A = 1/2 ( 8 * 10)

   = 1/2 (80)

  = 40 units^2

Step-by-step explanation:

a=1/2*b*h

a=1/2*8*10

a=40

Answer: C

Step-by-step explanation: C

2 divided into 9 parts is 2/9.

Let's' explain this visually

Take this pizza, (image below)

Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.

Now 2/9=0.2 repeating!

This is how I got my answer sorry for the vague  explanation

The equation y - 8 = 4(x + 2) is in point-slope form, where the point (x, y) is on the line with slope 4 and y-intercept 8. To identify the point, we can rearrange the equation into slope-intercept form, y = 4x + 20, where the y-intercept is 20. This tells us that the point (0, 20) is on the line. Therefore, the point (0, 20) is the point identified from the equation.

Answer:

$39490

Step-by-step explanation:

0.055 × 718000 = $39490

The correct answer is option a) Descriptive statistics; inferential statistics

a. Statistics with descriptions; Inferential statistics is the branch of statistics that deals with organizing, summarizing, and presenting data in a meaningful manner. Descriptive statistics are examples of this. It includes graphs or charts that provide a comprehensive overview of the data as well as measures like the mean, median, mode, and standard deviation.

On the other hand, inferential statistics is a subfield of statistics that uses a sample to make inferences or conclusions about a population. It makes predictions or generalizations about the larger population by utilizing sampling methods and probability theory.

Therefore, a. descriptive statistics is the correct response; statistical inference.

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Answer:

The surface area of a box that size is 42 feet ²

Step-by-step explanation:

hope this helps u

Sure! A table of values for f(x) = log base 8 of x is shown below:

x) f(x)

1) 0

2) 1/3

3) 0.54

4) 0.67

5)0.79

6)0.89

7) 0.97

8) 1

9) 1.10

10) 1.18

A logarithmic function is a type of mathematical function that involves the use of logarithms. Logarithms are a way of expressing numbers in terms of exponents, and logarithmic functions are functions that involve the logarithm of one or more variables.

The general form of a logarithmic function is:

f(x) = log_b(x)

where b is the base of the logarithm, and x is the argument of the logarithm.

Logarithmic functions have several important properties. One of the main properties is that they can be used to convert between exponential and logarithmic forms of equations. For example, the equation\(2^3\) = 8 can be written in a logarithmic form as log_2(8) = 3.

Logarithmic functions are also used in many applications in science, engineering, and finance. In science, logarithmic functions are used to describe the behavior of phenomena that exhibit exponential growth or decay, such as radioactive decay or population growth. In finance, logarithmic functions are used to calculate compound interest and to model the growth of investments over time.

The graph of a logarithmic function is a curve that approaches but never touches the x-axis as the x approaches zero. The shape of the curve depends on the base of the logarithm, and it becomes steeper as the base gets larger. The inverse function of a logarithmic function is an exponential function.

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Answer:

61 minutes and 36 seconds

Step-by-step explanation:

150 mph is equal to 2.5 miles per minutes divide miles by 2.5

The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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Answer:

Step-by-step explanation:

As per graph it is visible that the slope is negative, it goes down when x-value increases

Use two points to find the slope:

Slope formula:

Value of the slope:

Priya's equation for p(x) is not correct. The correct equation for horizontally stretching f(x) by a factor of 5 is\($$p(x) = f\left(\frac{x}{5}\right) = \left(\frac{x}{5}\right)^2 + 3 = \frac{x^2}{25} + 3$$\)

We are given the original function $f(x)$ and the proposed new function p(x), which is obtained by horizontally stretching $f(x)$ by a factor of 5. The proposed equation for p(x) is:

p(x) = f(5x)

And we are also given a specific expression for $f(x)$:

\($$f(x) = x^2 + 3$$\)

To check whether Priya's equation for p(x) is correct, we need to substitute f(5x) with its expression in terms of $x$ and simplify:

\($$p(x) = f(5x) = (5x)^2 + 3 = 25x^2 + 3$$\)

So Priya's equation for p(x) is not correct. The correct equation for horizontally stretching f(x) by a factor of 5 is:

\($$p(x) = f\left(\frac{x}{5}\right) = \left(\frac{x}{5}\right)^2 + 3 = \frac{x^2}{25} + 3$$\)

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The physiological responses that occur in response to low blood levels of calcium are bones release calcium into the blood, the kidneys retain more calcium, intestines absorb more calcium

Calcium is a chemical element which plays an important role in building and maintaining strong bones. It also plays other significant roles in blood clotting, muscles contraction, and normal heart rhythms regulation, and nerve functions. Calcium ions are essential in several cellular processes and the body tightly regulates calcium levels within a narrow physiological range as relatively small changes can have dramatic effects, including heart failure, muscle and brain dysfunction, and even death. Blood calcium levels are regulated by parathyroid hormone (PTH), produced by the parathyroid glands. PTH is released in response to low blood calcium levels and improves calcium levels by targeting the skeleton, the kidneys, and the intestine. The physiological responses that occur in response to low blood levels of calcium are bones release calcium into the blood, the kidneys retain more calcium, intestines absorb more calcium

Note: The question is incomplete as it is missing options which are a) liver releases calcium into the blood. b) bones release calcium into the blood. c) kidneys retain more calcium. d) intestines absorb more calcium.

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Answer:

The volume of the figure is 126 cubic cm

Step-by-step explanation:

The figure consists of two rectangular prisms of dimensions 6 x 7 x 1 and 3 x7 x 4 respectively.

Calculate the first volume:

\(V_1=6~cm\cdot 7~cm\cdot 1~cm= 42~cm^3\)

\(V_1= 42~cm^3\)

Calculate the second volume:

\(V_2=3~cm\cdot 7~cm\cdot 4~cm= 84~cm^3\)

\(V_2= 84~cm^3\)

The total volume of the figure is the sum of both volumes:

\(V_t=V_1+V_2=42~cm^3+84~cm^3=126~cm^3\)

The volume of the figure is 126 cubic cm

Answer:

y = -4x + 12

Step-by-step explanation:

For a line to be parallel, it needs to have the same slope.

Point intercept form: y - y₁ = m (x - x₁)

Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.

So, in order for the line to be parallel, it needs to have the same slope as the first equation. The slope of the line (which is the "m" in y = mx + b) is..

4x + y = 7

y = -4x + 7

So, m, or the slope, is -4.

Plug this, along with the coordinate the problem gives you into point-intercept form.

y - y₁ = m (x - x₁)

y - 8 = -4 (x - 1)

Simplify.

y - 8 = -4x + 4

Add 8 to both sides.

y = -4x + 12

Answer:

Step-by-step explanation:

To graph it you first need to find the solutions

|x| + 2 ≤ 6

|x| ≤ 4         you need to cancel out 2 to isolate the x so subtract it to both sides.

[-4,4]          x is absolute value so that means both -4 and 4 would equal 4 since they are all the same distance away from zero.

-4 ≤ x ≤ 4   now you just need to graph it. You graph the points -4 and 4 then just draw a line in between. Also remember to shade in the circle because 4 is greater than and equal to x.

What is 2/5 of 15?

Answer:

2/5 of 15 is 6.

Answer:

6

Step-by-step explanation:

The word of  in math refers to multiplication.

We can convert 15 to a fraction as well so we can use them together (15/1).

\(\frac{2}{5}\) x \(\frac{15}{1}\)

We can then work diagnolly and reduce the 5 and 15 since they are both divisible by 5- this is also known as the GCF or Greatest Common Factor

\(\frac{2}{1}\) x \(\frac{3}{1}\)

This is the same as 2 x 3 since both numbers divided by 1 are just themselves.

2x3 = 6