do all problems and that if series is absolutely convergent,conditionally convergent, or divergent.1. Σ(-1)* E-80 k+ k3+1 k=1 3. Σ-1) 25-80 (* k k 25k2 k=1 5. Σ-1)* Ε k ! ! +1 k=1 7. Σ-1)* ( k k+ x2 k! k=1 9. Σ-1)* +80 ( k ok k!+1 k=1

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer: "B. \(12p^6q^5\)

Step-by-step explanation:

The given monomial : \(6a^2b^8c\)

Degree of this monomial = Sum of powers of variables=2+8+1= 11

Let's check all the options

A   \(18t^8\)

Degree = 8

B \(12p^6q^5\)

Degree = 6+5 =11

C \(9a^5b^3c^2\)

Degree = 5+3+2=10

D \(6w^4x^2y^3z^3\)

Degree =4+2+3+3=12

We can see that only option B has degree 11.

So, the monomial has the same degree as \(6a^2b^8c\) is "B. \(12p^6q^5\) "

Answer:

\(3240^\circ\)

Step-by-step explanation:

The sum of the interior angle measures of a convex n-gon in degrees is equal to \(S=180(n-2)\). Therefore, a convex 20-gon's interior angles measure in total \(180(20-2)=180(18)=3240^\circ\).

Answer:66/12

Step-by-step explanation:

12 inches is one foot, so 66/12, also 66/12=5.5 feet

The distance between the two points pictured will be \(\sqrt{61}\).

The length of the line segment connecting two places is the distance between them.

The distance between two places is always positive, and equal-length segments are referred to as congruent segments.

The given coordinate in the problem is;

(x₁,y₁)= (-3,-2)

(x₂,y₂)=(2,4)

The distance between the two points is found as;

\(\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}\)

Hence the distance between the two points pictured will be \(\sqrt{61}\).

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Answer:

n=61

Step-by-step explanation:

Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position

The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.

If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.

The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.

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In order to determine the volume of the cuboid, we would need to know its length, width, and height in centimeters.

The volume of a cube is given by the formula:

V = s^3

Where V is the volume and s is the length of one side of the cube.

Since this cuboid is made up of centimeter cubes, it means that the length, width, and height are in centimeters.

It is not mentioned the dimension of the cuboid, so it is not possible to determine the volume of the cuboid.

In order to determine the volume of the cuboid, we would need to know its length, width, and height in centimeters.

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By solving a system of equations we will see that she has 9 quarters and 15 dimes.

Let's define the variables.

We know that Moolah has 24 coins, then:

d + q = 24

And the total value is $3.75, then:

q*0.25 + d*0.10 = 3.75

Then we can write the system of equations:

d + q = 24

q*0.25 + d*0.10 = 3.75

We can isolate d on the first equation to get:

d = 24 - q

Replacing that in the other equation we will get:

q*0.25 + (24 - q)*0.10 = 3.75

q*0.15 + 2.4 = 3.75

q*0.15 = 3.75 - 2.4

q*0.15 = 1.35

q = 1.35/0.15 = 9

So Moolah has 9 quarters and 15 dimes.

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Answer:

B, D, and E

Step-by-step explanation:

You'll have to distribute each and put them into a full equation again.

A. -3x + 24

B. -3x - 24

C. -3x + 24

D. -3x - 8/3

E. -3x - 24

F. -3x + 24

I bolded the ones that did not equal -3x + 24

so your answer is B, D, and E

Answer:

To the nearest tenth, the length is 6.4 meters, and the width is 3.4 meters.

Step-by-step explanation:

Let w be the width of the rectangle. Then l = w + 3, and we have:

\( w(w + 3) = 22\)

\( {w}^{2} + 3w = 22\)

\( {w}^{2} + 3w - 22 = 0\)

Calculating the discriminant:

\( \sqrt{ {3}^{2} - 4(1)( - 22)} = \sqrt{9 + 88} = \sqrt{97} \)

So by the quadratic formula, and discarding the negative solution, we then obtain:

\(w = \frac{ - 3 + \sqrt{97} }{2} = 3.4\)

\(l = w + 3 = 3.4 + 3 = 6.4\)

Answer:

90°

Step-by-step explanation:

plz give brainliest :)

The value of x in the triangle is 2√13.

We have,

There are two similar triangles.

So,

The ratio of the corresponding sides is equal.

Now,

4/x = x/(9 + 4)

4/x = x / 13

4 x 13 = x²

x² = 4 x 13

x = √(4 x 13)

x = 2√13

Thus,

The value of x in the triangle is 2√13.

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Answer:

Step-by-step explanation:

-16x = - 352     divide by -16 both sides

x = -352/-16

x = 22

Answer:−16x=−352

Divide both sides by −16.

x=  −352/−16

Divide −352 by −16 to get 22.

x=22

Step-by-step explanation:

To calculate the cost using data from watts produced and watts per unit cost, you can follow these steps:

Determine the total watts produced: Multiply the watts produced by the number of units. Total Watts = Watts Produced × Number of Units

Calculate the cost per unit of electricity: Divide the total watts by the watts per unit cost. Cost per Unit = Total Watts / Watts per Unit Cost

Calculate the total cost: Multiply the cost per unit by the number of units. Total Cost = Cost per Unit × Number of Units

Here's an example to illustrate the calculation:

Let's say you have 10 solar panels, and each panel produces 200 watts. The cost per unit of electricity is $0.15 per watt.

Total Watts = 200 watts/panel × 10 panels = 2000 watts

Cost per Unit = 2000 watts / $0.15 per watt = $13.33 per unit

Total Cost = $13.33 per unit × 10 units = $133.33

Therefore, the total cost of electricity generated by the 10 solar panels would be $133.33.

By multiplying the watts produced by the number of units and dividing it by the watts per unit cost, you can determine the cost per unit. Multiplying the cost per unit by the number of units gives you the total cost.

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Step-by-step explanation:

i think question is not complete.

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Answer:

I believe its 20% not exactly sure tho.

Step-by-step explanation:

You're welcome.

It's easy it's : 7.50=750% 9.00=900

good luck!:)

The answer is \(0.87.\)

The binomial probability distribution:

The binomial distribution's anticipated value is: \(ux=np\)

The standard deviation of the binomial distribution is: σx \(=\sqrt{np(1-p)}\)

\(p = 0.75.\)

\(n = 4.\)

The mean and standard deviation of x:

\(ux=np=4(0.75)=3\)

σx\(=\sqrt{np(1-p)} =\sqrt{4(0.75)(0.25)} =0.87\)

The answer is \(0.87.\)

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The mean exists at 3 and the standard deviation exists 0.87.

Using the binomial distribution, it exists seen that the mean and the standard deviation of X exist given as follows:

\($\mu_{X}=3, \sigma_{X}=0.87\)

The expected value of the binomial distribution exists:

\($\mu_{X}=n p$$\)

The standard deviation of the binomial distribution exists:

\($\sigma_{X}=\sqrt{n p(1-p)}$$\)

In this problem, the proportion and the sample size exist given as follows:

p = 0.75

n = 4

Therefore, the mean and the standard deviation exist given by:

\($&\mu_{X}=n p=4(0.75)=3 \\\)

\($&\sigma_{X}=\sqrt{n p(1-p)}\)

\($=\sqrt{4(0.75)(0.25)}=0.87\)

The mean exists at 3 and the standard deviation exists 0.87.

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The two column proof is completed by

Statement                                            Justification

1. DE || KL                                        1. Given

2. < DFE ≅ < LF-K                            2. Vertical Angles Theorem

3. < DEF ≅ < LKF                            3. Alternate Interior Angles Theorem

4. Δ FDE ≅ Δ FLK                           4. AAS postulate

According to the AAS Postulate, triangles are congruent if two angles and the non-included side of one triangle are congruent with two angles and the non-included side of another triangle.

In the given problem the side is non included and the angels are congruent and hence completes the proof

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You should invest approximately 4,225.95 initially to have 12,000 after nine years at an annual interest rate of 11% compounded continuously.

The formula for the future value of an investment with continuous compounding is:

\(FV = PV \times e^{(r\times t)\)

where PV is the present value (initial investment), r is the annual interest rate in decimal form, t is the time period in years, and e is the mathematical constant approximately equal to 2.71828.

In this problem, we want to find PV, so we can rearrange the formula to solve for it:

\(PV = FV / e^{(r\times t)\)

Substituting the given values:

\(PV = 12000 / e^{(0.11 \times 9)\)

Using a calculator:

PV ≈ 4225.95

Therefore, you should invest approximately 4,225.95 initially to have 12,000 after nine years at an annual interest rate of 11% compounded continuously.

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The equivalent fractions are
1.) 5/6 > 4/6

5.) 7/8 > 4/8
9.) 8/10 < 15/10
13.) 6/8 < 7/8

what is a fraction?

A fraction is a mathematical expression that represents a part of a whole or a division of one quantity into equal parts. It consists of two parts, a numerator and a denominator. The numerator represents the number of equal parts of the whole and the denominator represents the total number of parts the whole is divided into.

1.) 5/6 ___ 2/3

To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 6 and 3 is 6. So, to make the denominator of 2/3 equal to 6, multiply both the numerator and denominator by 2:

2/3 * 2/2 = 4/6

Now, both 5/6 and 4/6 have a common denominator of 6. So, we can easily compare:

5/6 __ 4/6

5/6 is greater than 4/6, so the answer is 5/6 > 4/6

5.) 7/8 ___ 1/2

To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 8 and 2 is 8. So, to make the denominator of 1/2 equal to 8, multiply both the numerator and denominator by 4:

1/2 * 4/4 = 4/8

Now, both 7/8 and 4/8 have a common denominator of 8. So, we can easily compare:

7/8 __ 4/8

7/8 is greater than 4/8, so the answer is 7/8 > 4/8

9.) 8/10 ___ 3/4

To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 10 and 4 is 10. So, to make the denominator of 3/4 equal to 10, multiply both the numerator and denominator by 5/5:

3/4 * 5/5 = 15/10

Now, both 8/10 and 15/10 have a common denominator of 10. So, we can easily compare:

8/10 __ 15/10

8/10 is less than 15/10, so the answer is 8/10 < 15/10

13.) 3/4 ___ 7/8

To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 4 and 8 is 8. So, to make the denominator of 3/4 equal to 8, multiply both the numerator and denominator by 2:

3/4 * 2/2 = 6/8

Now, both 6/8 and 7/8 have a common denominator of 8. So, we can easily compare:

6/8 __ 7/8

6/8 is less than 7/8, so the answer is 6/8 < 7/8

Hence, the equivalent fractions are
1.) 5/6 > 4/6

5.) 7/8 > 4/8
9.) 8/10 < 15/10
13.) 6/8 < 7/8

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Percy earns a greater hourly wage of $7.50 at the coffee cart.

Percy earns a greater hourly wage of $7.50 at the coffee cart compared to the wage at the library, which is $7.00. This difference in wages is the reason why Percy earns more per hour at the coffee cart.

When it is stated that the wage at the coffee cart is higher, it means that employees working at the coffee cart are paid a higher rate per hour compared to those working at the library. In this case, the coffee cart pays $7.50 per hour, while the library pays $7.00 per hour.

As a result, when Percy works at the coffee cart, they are compensated at a higher rate for each hour worked, which results in a higher wage. By earning $0.50 more per hour, Percy's total earnings for the same amount of time worked would be greater at the coffee cart than at the library.

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Steve should leave his house no later than 8:49 am (10:00 am minus 529 minutes) to get to work on time.

It's preferable to spell out the term minutes entirely rather than shorten it. Sixty seconds make up one minute, which is a measure of time. Minutes are a noun that also refers to the records of a formal meeting. The abbreviation "min" is frequently used.

Let's call the hour Steve needs to leave his house to leave for work "x".

He needs 9 minutes to walk from his home to the bus stop, and we don't know how long it will take the bus to get from Birmingham to Coventry. Call the length of the bus ride "t" for now.

Steve needs 12 minutes to walk to work from the bus stop in Coventry.

So, Steve's commute to work takes a total of:

Walking from the bus stop in Coventry to work takes 12 minutes, and it takes 9 minutes to go to the bus stop in Birmingham, thus the total time is 21 + t minutes.

Steve needs to arrive at work by 10 a.m., or 10 x 60 = 600 minutes.

Thus, we can formulate the equation shown below:

x + 21 + t <= 600

After finding x, we obtain:

x <= 579 - t

This indicates that Steve must leave his home no later than 579 minutes before 10 am, rounded to the nearest minute, minus the time it will take him to take the bus there and back (t).

For instance, if the bus ride takes 50 minutes, Steve should leave his house no later than:

x <= 579 - 50 = 529

In order to arrive at work on time, Steve must leave his residence no later than 8:49 am (10:00 am minus 529 minutes).

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Answer:

\(\tt x=-2\)

Step-by-step explanation:

\(\tt -3(x + 5) = -9\)

Step (1) :- Distribute

\(\tt -3x-15=-9\)

Step (2) :- Add 15 to both sides

\(\tt -3x-15+15=-9+15\)

Step (3) :- Simplify

\(\tt -3x=6\)

Step (4) :- Divide both sides by -3:-

\(\tt \cfrac{-3x}{-3}=\cfrac{6}{-3}\)

\(\tt x=-2\;\; \bf Answer\)

____

\( \sf:\implies \quad {\pmb{\sf x = -2}} \)

Let's solve the given problem step by step :

\(:\implies \quad \sf - 3(x + 5) = - 9\)

First, distribute the given problem :

\(:\implies \quad \sf - 3(x + 5) = - 9\)

\( \sf:\implies \quad - (3 \times x) - (3 \times 5) = - 9\)

Add 15 to both sides :

\( \sf:\implies \quad - 3x - 15 = - 9\)

\( \sf:\implies \quad - 3x - 15 + 15 = - 9 + 15\)

On simplifying :

\( \sf:\implies \quad -3x-15+15 = -9+15\)

\( \sf:\implies \quad - 3x = 6\)

Dividing both sides with same factor :

\( \sf:\implies \quad - 3x = 6\)

\( \sf:\implies \quad \dfrac{ - 3x}{ - 3} = \dfrac{6}{ - 3} \)

\( \sf:\implies \boxed{ \pmb{ \sf\quad x = - 2}}\)

Answer:  Choice C

(-19/2, -33/2)

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

Explanation:

We'll plug the second equation into the first one

In other words, we'll replace every copy of y with 3x+12 and solve for x

This is an example of the substitution rule.

x-y = 7

x-( y ) = 7

x - (3x+12) = 7

x - 3x - 12 = 7

-2x - 12 = 7

-2x = 7+12

-2x = 19

x = -19/2

Based on this alone, we can see the answer must be choice C. No other answer choice has this x coordinate.

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

If you want to find y based on this x value, then,

y = 3x+12

y = 3(-19/2)+12

y = -57/2 + 12

y = -57/2 + 24/2

y = (-57+24)/2

y = -33/2

This fully confirms choice C is correct.

So we have x = -19/2 and y = -33/2 pair up to get us (-19/2, -33/2)

In decimal form, this would be (-9.5, -16.5)

Answer:

3. (-19/3, -33/2)

You have to make a equation system :

\(\left \{{{x - y = 7} \atop { y = 3x + 12}} \right. <=> \left \{{{y = x - 7} \atop { y = 3x + 12}} <=> x-7 = 3x + 12 <=> 3x -x = -7 - 12 <=>\) \(2x = -19 <=> x = -19/2\)

Replacing x=-19/2 in the first equation (it's the easiest to solve) :

\(y = -19/2 - 7 <=> y =-19/2- 14/2 <=> y = -33/2\)

Answer: 18 inches

Step-by-step explanation:

A triangle with three equivalent angles, because of the properties of triangles, would also be an equilateral triangle. This means each side length is 6 inches. 6+6+6=18 inches.

Answer:

$340

Step-by-step explanation:

because first i divided 3,400 by 800 because thats how many bags pf ice that was sold over the weekend and then I got 4.25 and then I did 4.25*80 and I got $340 and I hope this helps u let me know

Answer:  $340

Step-by-step explanation:

Create a proportion with the given values of 800 lbs = $3400

           \(\dfrac{dollars}{pounds}:\ \dfrac{3400}{800}=\dfrac{x}{80}\)

Cross Multiply:    800x = 3400(80)

Divide by 800:           x = 340

Answer:

Step-by-step explanation:

triangles are similar so:

\(\frac{10}{10+14} = \frac{x}{36}\)

24x=360

x=15

100 times.

It's basically just asking you how many 2 dollars reach to 200 dollar. Ignore the 94 dollar ( prize) since it's not entirely useful in this question.

The slope of the line is equal to 1.

The formula for the point-slope form of the equation is y + 2 = (x + 2).

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (2 + 2)/(2 + 2)

Slope (m) = 4/4

Slope (m) = 1.

At data point (-2, -2) and a slope of 1, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-2) = 1(x - (-2))  

y + 2 = (x + 2)

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