The sum of three terms in AP is 15. If the first two terms are each decreased by 1 and the last is increased by 1 then the resulting terms are in GP. find the numbers.​

Answer:

3/23 x 5/23 = 15/529 = 2.84%

Answer:

First find the total of 7 hearts, 8 diamonds, 6 clubs and 6 spades which is 24 altogether. Therefore we are talking about 4 types of cards. I therefore think the probability will be 2/24

Based on the information given, it can be deduced that the value of the 15th term is B. 80.

In an arithmetic sequence., uₙ = a + (n-1)d

Given in the question,

\(a_{5}\) = 20 , \(a_{9}\) = 44  

Using above formula

for \(a_{5}\) => a + 4d = 20 ..... (i)

for \(a_{9}\) => a + 8d = 44 ...... (ii)

Subtract (ii)  from (i)

\(a + 8d = 44 \\- a - 4d = -20\\ -------\\ 0 + 4d = 24\)

=> 4d = 24

=> d = 24/4

=> d = 6

Therefore, a will be:

a + 4d = 20 .......(i)

a + 4(6) = 20

a + 24 = 20

a = 20 - 24

a = -4

Therefore, the 15th term will be:

\(a_{15}\) = a + (15 - 1)d

\(a_{15}\) = a + 14d

\(a_{15}\) = -4 + 14 x 6

\(a_{15}\) = -4 + 14 x 6

\(a_{15}\) = 14 x 6 - 4

\(a_{15}\) = 80

The 15th term is 80.

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The surface area of the cylinder is 948m²

The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;

SA = 2πr(r+h)

Where r is the radius of the base and h is the height of the cylinder.

r =8m

h = 4m

SA = 2 × 3.14 × 8 (8+4)

SA = 78.96 × 12

SA = 947.52 m²

to the nearest whole number

SA = 948 m²

therefore the surface area of the cylinder is 948 m²

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Answer:

I think the answer is mary

Answer:

John

Step-by-step explanation:

Mary: 87%-88% (0.875)

John: 88% (0.884)

Joe: 81% (0.818)

\(\color{plum}\tt \: \bold{\tt m∠1 = 77.7°}\)

\(\color{plum}\bold{\tt \: m∠B =63 °}\)

\(\color{plum}\bold{\tt \: m∠C =63° }\)

\(\color{plum}\bold{\tt \: m∠1 = 40° }\)

\(\color{plum}\bold{\tt \: m∠2 = 28°}\)

Steps to derive the correct measurement of each of the angles :

In triangle 1 :

Given :

Sum of all angles in a triangle = 180°

Which means :

\( =\tt 180 - (52.2 + 50.1)\)

\( =\tt 180 - 102.3\)

\( = \tt77.7°\)

Thus, the measure of angle 1 = 77.7°

Since the sum of all angles (77.7+52.2+50.1=180°) equals 180° we can conclude that we have found out the correct value of angle 1.

Therefore, the m∠1 = 77.7°

In triangle 2 :

Given :

Let the measure of angle B be x.

Then, the measure of angle C will also be x.

Which means the sum of angle B and C will be equal to 2x.

That means :

\( =\tt 54 + 2x = 180\)

\( = \tt180 - 54 = 2x\)

\( =\tt 2x = 126\)

\( =\tt x = \frac{126}{2} \)

\( =\tt x = 63\)

Thus, the measure of Angle B = 63°

Measure of angle C = 63°

In triangle 3 :

Given :

Which means :

= m∠2 + 112° = 140° (exterior angle property)

\( = \tt140 - 112 = ∠2\)

\( = \tt \: m∠2 = 28°\)

Thus, the measure of angle 2 = 28°

= m∠1 + m∠2 + m∠3 = 180°

\( =\tt m∠1 + 112 + 28 = 180\)

\( =\tt m∠1 + 140 = 180\)

\( = \tt \: m∠1 = 180 - 140\)

\( = \tt \: m∠1 = 40°\)

Thus, the measure of angle 1 = 40°

Answer:

10 and 16

15 and 24

20 and 32

Step-by-step explanation:

Brainliest please?

Answer:

\(number = x \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 5 \\ x = 20 \\ thank \: you\)

Answer:

\(let \: the \: number \: be \: x \: \\ then \: \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 8 - 3 \\ \frac{x}{4} = 5 \\ x = 5 \times 4 \\ x = 20 \\ \: hence \: 20 \: is \: your \: answer \:hope \: it \: helped\)

Answer:

1. 2000-950 = 1050

1050 / 6 = 175

2. 175 dollars

Lucky siblings I would have given no money to any siblings

Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

a. C = 5.00 + 0.75t

b. It will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

(a) To represent Elaine's total parking cost, C, in dollars for t hours, we can use the following equation:

C = 5.00 + 0.75t

In this equation, the constant term 5.00 represents the flat fee for parking, and the term 0.75t represents the additional cost per hour based on the number of hours (t) the car is parked. By adding the flat fee to the hourly cost, we get the total parking cost for t hours.

(b) To find out how much it will cost Elaine to park her car for a full 24 hours, we can substitute t = 24 into the equation:

C = 5.00 + 0.75 * 24

Calculating this expression, we get:

C = 5.00 + 18.00

C = 23.00

Therefore, it will cost Elaine $23.00 to park her car for a full 24 hours at the parking lot.

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Answer:

YES

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Because -5x and 5x both have the same things in it (a full base number and variable), they are like terms. It doesn't matter that one is a negative and the other is not. It's just matters that everything else is the same.

I hope this helps!

The probability that the woman's height is between 62.9 in and 63.9 in is 0.1580

From the question, we have the following parameters that can be used in our computation:

So, the z-scores are

z = (62.9 - 63.6)/2.5 = -0.28

z = (63.9 - 63.6)/2.5 = 0.12

i.e. between a z-score of -0.28 and a z-score of 0.12

This is represented as

Probability = (-0.28 < z < 0.12)

Using a graphing calculator, we have

Probability =  0.1580

Hence, the probability is 0.1580

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Answers:

1): Freddy is incorrect. The correct answer is 1/6.

Step-by-step explanation: Freddy is incorrect. You are not supposed to subract the denominators. When you are solving the equation you have to find a common denominator. You can only subtract the numerator, and the denominator is the same.

Find the LCM. The LCM in this case is 6.

3/6 - 2/6

Remember, only subtract the numerators. The denominator will still be 6.

1/6

1/6 is therefore the correct answer.

2) 4 8/12

The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.

To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.

The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k hits

n is the total number of trials (in this case, the player's 10 times at bat)

k is the number of successful trials (in this case, 4 hits)

p is the probability of success in a single trial (in this case, the player's batting average, 0.298)

(1 - p) is the probability of failure in a single trial

Plugging in the values:

P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Using the combination formula C(n, k) = n! / (k! * (n - k)!):

P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Calculating the values:

P(X = 4) ≈ 0.161

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Answer:

Step-by-step explanation:

a screw labeled 1/4-20 x 5/8 has a length of

Answer:

4.5

Step-by-step explanation:

4 * 1.5 = 6

3* 1.5 = 4.5

The value of x is 4 and 0

Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc. Consider that James and Natalie came up with the notion to arrange matchsticks into numerical patterns when they were fiddling with them.

Given that : \((x-2)^{2} = 2\)

\((x-2)^{2} = 2\)

(x-2)=±2

x= 4

x=0

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The required angle is 24.5°.

Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,

To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.

The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.

In this case, the perpendicular side is 16 and the base is 35.

Let's denote the acute angle as θ.

Using the tangent function, we can set up the equation:

tan(θ) = perpendicular side / base

tan(θ) = 16 / 35

To find the value of θ, we can take the inverse tangent of both sides:

θ = tan⁻¹(16 / 35)

θ = 24.5°

Hence the required angle is 24.5°.

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Answer:

B).

Step-by-step explanation:

Add 8 to half the difference of 6 and 2 then subtract 1.

Answer:

I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.

Answer:

After the passage of a month, the interest that Tori must pay will be $ 4.81.

Step-by-step explanation:

Given that Tori has an unpaid balance of $ 300 on her credit card, and that said credit card has an annual interest of 21% on the unpaid balances, considering that the minimum payment is $ 25, to determine how much she should pay after a month of After your debt, it is necessary to perform the following calculation:

12 = 21

1 = X

21/12 = X

1.75 = X

((300 - 25) x 1.75 / 100) + 300 = X

4.81 + 300 = X

304.81 = X

Thus, after the passage of a month, the finance charge that Tori must pay will be $ 4.81.

Answer:

BELOW

Step-by-step explanation:

OK so AC is 18, since both of those sections are 9, and 9+9=18.

But for AG im kind of stuck. At first I thought it was 11 but then just by looking at it you can see that they aren't the same length(I mean AG and GC) so I don't know about that one.

heres what I THINK it could be

GF and GD COULD BE the same length, considering that this is a 3d shape.

So, since AGF is a right triangle, we can use pythagorem. theorem.

7^2+9^2=x^2

49+81=x^2

130=x^2

x==11.40

MAYBE AG=11.40.

i tried my best sorry

Answer:D

Step-by-step explanation:

It’s a permutation

Answer:

68°

Step-by-step explanation:

Total angle in a quadrant = 90°

x + 22° = 90°

x = 90 - 22

x = 68°

Answer:

Ken;

Step-by-step explanation:

Ken grew 4/5 of an inch. 4/5=0.8

Sang grew 3/8 of an inch. 3/8= 0.375

0.8 > 0.375 so Ken grew more.

0.8 - 0.375 = 0.425

So, Ken grew 0.425 more inches than Sang grew. 0.425 is also the same thing as 17/40.

Answer:

The answer is simply 26,25/3 which gives that each book costed 8,75 dollars assuming of course that all books have the same price.

Answer: A is the answer

Step-by-step explanation:

Answer:

i think it is a

Step-by-step explanation:

The only graph that represents a function is: Graph D

A function is defined as a relationship or expression that involves one or more variables. It typically has a set of input and outputs.  Each input has only one output. The function is the description of how the inputs relate to the output.

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

From the graphs, we can see that:

Graph A has 2 outputs at x = -2

Graph B has 2 outputs at x = 0

Graph C has two outputs at x = -1

Graph D has a unique output for every input and as such it is a function

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Answer:20%

Step-by-step explanation:

Answer: 20%

Step-by-step explanation:

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

1. Yes 2. No 3. Yes 4. No

Step-by-step explanation: 1 is a function because none of the x values repeat, 2 isn't a function because in the x coordinates, -2 repeats, 3 is a function because if you were to draw a (vertical) line through each point, none of them have two points on one line, 4 is a function because none of the x coordinates point to more than one y coordinate