if the 6th term of an A.p is 11and its first term is 1 find the common diferent
Answers
Answer:
\(thank \: you\)
Explanation:
Common diff = (11 - 1)/(6 - 1) = 10/5 = 2
Related Questions
Kim's softball team was playing in the championship game. When there were 4 innings left, the team was losing by a score of 17 to 6 runs. In the last 4 innings, her team scored the same number of runs per inning, and the other team did not score any more runs. Kim's team won with the most runs. Write an inequality to determine the number of runs per inning, p, Kim's team could have scored.
Answers
The number of runs per inning that Kim's team could have scored to win the game would be greater than 11/8.
Let's suppose that in the final four innings, Kim's squad scored "p" runs on average. In that case, Kim's side would have scored a total of:
(Number of innings) x (Total runs scored by Kim's side) (Number of runs per inning)
Kim's squad scored 6 runs in the first 4 innings, so there were a total of the following runs scored by her team:
Six runs were scored by Kim's squad in the first four innings.
The total number of innings in the game would be 8, as there were still 4 innings to play. As a result, Kim's squad scored a total of runs during the entire game, which is:
Eight innings times the number of runs per inning is eight runs for Kim's team overall.
Kim's team ended up winning the game with the most runs. The total runs scored by her team must therefore be higher than the total runs scored by the opposing team. The opposing team scored 17 runs in the first four innings and none more in the following four. The total runs scored by the opposition would therefore be as follows:
The other team scored a total of 17 runs.
Combining everything, we may represent the inequality as follows:
Total runs scored by Kim's team surpasses all other teams' total runs.
8p + 6 > 17
When we reduce the inequality, we obtain:
8p > 11
When we multiply both sides by 8, we get:
p > 11/8
In order to win the game, Kim's squad would have needed to score more runs per inning than 11/8.
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Answer:
6+4p>17
Kim's team scored a minimum of
3 runs per inning.
Step-by-step explanation: Khan Academy
Which describes the pedestrian crossing sign shown?
The sign is a trapezoid because exactly one pair of opposite sides is parallel.
The sign is a parallelogram because both pairs of opposite sides are parallel.
The sign is a kite because both pairs of opposite sides are congruent.
The sign is a parallelogram because at least one pair of opposite sides is parallel
Answers
The sign is a parallelogram because both the pairs of the opposite sides are parallel.
A parallelogram is a quadrilateral with two sets of parallel sides. A parallelogram has opposing sides that are the same length and angles that are the same size. the internal angles on the same side that are in addition to the transversal. The sum of all interior angles is 360 degrees.
Characteristics of a parallelogram:
The contrasting sides are parallel and congruent.Angles that diverge line up.The following angles act as a fallback.If any one of the angles is a right angle, then all the angles will be at right angles.Split in half are the two diagonals.Each diagonal divides the parallelogram into two equal and congruent triangles.A parallelogram's diagonals are equal to the sum of its squares.To learn more about parallelogram visit :
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Answer:
B
Step-by-step explanation:
A cyclist rides her bike at a speed of 18 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 2 hours? In
your computations, assume that I mile is equal to 1 kilometers. Do not round your answers.
Speed: ___km/h
Distance traveled in 2 hours :
__km
Answers
Answer: 110
Step-by-step explanation:
Answer:
Step-by-step explanation:
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, estimate how much longer I will be driving for?
Answers
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.
To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.
We can set up a proportion to find the time:
(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)
Let's solve for the time taken for 146 km:
(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)
Substituting the given values:
(time taken for 146 km) = 32 minutes * (146 km / 48 km)
Calculating the value:
(time taken for 146 km) ≈ 32 minutes * 3.042
(time taken for 146 km) ≈ 97.344 minutes
Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.
To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:
Additional time = 97.344 minutes - 32 minutes
Additional time ≈ 65.344 minutes
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The radius of a circle is 19 cm. Find the area
Answers
Answer: 1134.11
A=3.14*r^2
Step-by-step explanation:
Answer:
a ≈ 1134.11 cm2
Step-by-step explanation:
The formula:
\(a=\pi r^{2}\)
\(a=\pi (19)^{2} =361\pi\)
\(a=1134.11cm^{2}\)
Hope this helps
I GIVEE BRAINLILSTT TTTT
Answers
Answer:
fgdbnfdbhfdfbfdbdfbdx cmbhk;lk
yigykuk
Step-by-step explanation:
guykgyktylui
Gfy,m;pkoKKbh,uh
KJolKJkjp+
iuik.iJ:L
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How does an airbag help protect a passenger in a car following a car accident?
It shortens the passenger’s stopping time, and this decreases the force.
It shortens the passenger’s stopping time, and this increases the force.
It increases the passenger’s stopping time, and this decreases the force.
It increases the passenger’s stopping time, and this increases the force.
Answers
Answer:
I would say "It increases the passenger’s stopping time, and this decreases the force"
Step-by-step explanation:
Im not sure so please dont get mad at me!
Please consider brainliest! Have a good day! Bye<3
Answer:
(c)
Step-by-step explanation:
took the test
f(x) = x-7
What is the value of x when f(x) = 3? Enter the answer in the box.
Answers
Answer:
10 =x
Step-by-step explanation:
f(x) = x-7
Let f(x) = 3
3 = x-7
Add 7 to each side
3+7 = x-7+7
10 =x
Answer:
10
Step-by-step explanation:
George read 90% of the book. If he read 270 pages, how many pages are in the book?
Answers
Answer:
375 pgs
Step-by-step explanation:
Answer: 375
Step-by-step explanation: Hope this helps!
Consider the following figure.
(Note that the figure is not drawn to scale.)
20°
L
47°
89°
Order the side lengths IK, KL, IJ, IL, and LJ from least to greatest.
Answers
The side lengths from least to greatest as follows:
IK < KL < IJ < IL < LJ
To order the side lengths IK, KL, IJ, IL, and LJ from least to greatest, we can analyze the given figure.
Since the figure is not drawn to scale, we cannot determine the exact lengths of the sides. However, we can make some observations based on the given angles.
Let's analyze the angles:
Angle L: Since angle L is marked as 47°, we know that side KL is the shortest side, as it is opposite to the smallest angle in a triangle.
Angle I: Since angle I is marked as 20°, we can infer that side IJ is longer than side IK, as it is opposite to a larger angle.
Angle LJ: Since angle LJ is marked as 89°, we can conclude that side LJ is the longest side, as it is opposite to the largest angle in the triangle.
Based on these observations, we can order the side lengths from least to greatest as follows:
IK < KL < IJ < IL < LJ
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A boat uses two pontoons to float. Each pontoon consists of a cylinder with a hemisphere at each end, as shown. Find the total volume of the two pontoons. Round your answer to the nearest whole number.
Answers
Answer:
\(Total \approx 20ft^3\)
Step-by-step explanation:
Given
\(h = 12ft\) --- height of the cylinder
\(d =1ft\) --- the diameter of the hemispheres at both end and the cylinder
See attachment for pontoon
Required
Determine the volume
First, calculate the radius (r)
\(r = \frac{1}{2} * d\)
\(r = \frac{1}{2} * 1ft\)
\(r = 0.5ft\)
Next, the volume of the cylinder
\(V_1 = \pi r^2h\)
\(V_1 = 3.14 * 0.5^2 * 12\)
\(V_1 = 9.42ft^3\)
Two hemispheres make up a sphere. So, we simply calculate the volume of a sphere.
\(V_2 = \frac{4}{3}\pi r^3\)
\(V_2 = \frac{4}{3} * 3.14* 0.5^3\)
\(V_2 = 0.52ft^3\)
So, the volume of 1 pontoon is:
\(V_3 = V_1 + V_2\)
\(V_3 = 9.42ft^3 + 0.52ft^3\)
\(V_3 = 9.94ft^3\)
The volume of both is:
\(Total = 2 * V_3\)
\(Total = 2 * 9.94ft^3\)
\(Total = 19.88ft^3\)
\(Total \approx 20ft^3\)
Which of the following is a factor of 24x^6 - 1029y^3?
Answers
The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)
Factors of Polynomials:When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.
When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.
Here we have
24x⁶ - 1029y³
Take 3 as common
=> 3(8x⁶ - 343y³)
As we know 8 = 2³ and 343 = 7³
=> 3[(2x²)³ - (7y)³]
From the algebraic identities
a³-b³ = (a-b)(a²+ab+b²)Take a = 2x² , b = 7y and apply above formula
=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]
=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]
Therefore,
(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)
Therefore,
The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)
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ASAP!!! NEED AN ANSWER
In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
Answers
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
the digit 1 in which number represents a value of 0.1
a) 6.513
b) 0.18
c)201
Answers
The place value of a digit in a given number can be in either unit, tens, hundred, thousand, hundred of thousand etc. Therefore the required answer is option B. 0.18.
What is the place value of a digit?The place value of a digit is its position in a given number. These could either be as unit, tens, hundred, thousands, ten thousands etc.
This can now be stated as required. This knowledge is required when round off a given decimal number to either a required number of significant figure or decimal places.
So that considering the given question, the place value of 1 in the given number 0.1 is tenths. Therefore, the place value of digit 1 that would make it to have a value of 0.1 is the number 0.18. Thus option B.
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Sam wants to write an equation to represent a
proportional relationship with a constant of proportionali
of 6. He writes the equation y = 6 + X.
Is he correct. If not, what is the correct equation? Explai
your answer. Consider the graph of the equation in your
response
Answers
Answer:
No, Sam is not correct. The graph of a proportional relationship has the form y = kx, where k is the constant of proportionality. Sam added the constant of proportionality instead of using it as the coefficient of x. The correct equation is y = 6x. Sam’s graph would be a straight line, but it would not pass through the origin.
Step-by-step explanation:
on edge :)
71) y = -x + 32AY5+21ti6 5 4 3 2 11 2 3 43 6XHelp me solve and graph
Answers
We have the next equation
\(y=\frac{7}{2}x+3\)Seeing the function we can see that it has a linear form.
To graph the linear function we must find the intercepts of the function
y-intercept:
To find the y-intercept we must replace x = 0 in the function and then solve for y
\(\begin{gathered} y=\frac{7}{2}(0)+3 \\ y=0+3 \\ y=3 \end{gathered}\)So, the y-intercept is the point (0, 3)
x-intercept:
To find the x-intercept we must replace y = 0 in the function and then solve for x
\(\begin{gathered} 0=\frac{7}{2}x+3 \\ \frac{7}{2}x=-3 \\ x=\frac{-3\cdot2}{7} \\ x=-\frac{6}{7}=-0.857 \end{gathered}\)So, the x-intercept is the point (-0.857 , 0)
Now, we have two point of the graph, we must join them and this will be our graph. This, because is a linear function.
So, the graph will be
Answer the following question, and show your work. *
2
4
3
6
6
3
8
9
7
9
8
???
Answers
Answer:
6
(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)
Step-by-step explanation:
To find the missing number in the given sequence, let's analyze the pattern:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, ???
Looking at the sequence, we can identify a few patterns:
The sequence alternates between increasing and decreasing numbers.
The first two numbers, 2 and 4, are increasing.
The next two numbers, 4 and 3, are decreasing.
The following two numbers, 3 and 6, are increasing.
The subsequent two numbers, 6 and 3, are decreasing.
The next two numbers, 3 and 8, are increasing.
The subsequent two numbers, 8 and 9, are increasing.
Based on these observations, it appears that the sequence is following a pattern where it alternates between increasing and decreasing numbers, but the specific values being added or subtracted are not consistent.
Now let's determine the missing number:
From the pattern, the next two numbers should be decreasing. Following the pattern of alternating between increasing and decreasing numbers, the missing number after the last given number (8) should be less than 9.
Let's assume the missing number is x:
8 - x
Since the previous decreasing sequence was 6 - 3, we can assume that x is 1 less than the previous number (3):
8 - (3 - 1) = 8 - 2 = 6
Therefore, the missing number in the sequence is 6.
The complete sequence is:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, 6
Work out the length of x. Give your answer rounded to 3 significant figures. 13.3 mm 5.5 mm The diagram is not drawn accurately. X = 0 mm x
Answers
Step-by-step explanation:
Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.
To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.
Perimeter = 13.3 mm + 5.5 mm + X mm
The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.
To find X, we can subtract the sum of the known sides from the perimeter:
X mm = Perimeter - (13.3 mm + 5.5 mm)
Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.
What is the area of the following?
Height: 3x2 - 2x - 6
(4x)
(4x)
(4x)
Answers
The area of the rectangle shown is expressed as 4x² - 2x - 6
The diagram is attached below:
Area of a rectangle = Length * width
From the diagram;
Length = 4x - 6
Width = x+1
Substitute the given parameters into the formula as shown:
Area = 4x-6(x+1)
Area = 4x(x) + 4x (1) - 6x - 6
Area = 4x² + 4x - 6x - 6
Area = 4x² - 2x - 6
Hence the area of the rectangle shown is expressed as 4x² - 2x - 6
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find the average of multiples of 9
Answers
Answer:
9: 9,18,25,32,40 heres some examples hope this helps have a great day.
a billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. furthermore, the billboard should have a total area of 150 ft2 (including the margins). if x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.
Answers
If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard as a function of x is (150/x - 10)(x - 4).
A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides.
x = width of the billboard designer
Total Area including margin = 150 ft^2
Height of the billboard = Area/width
Height of the billboard = 150/x
Before the height of the billboard = (150/x - 5 × 2)
Before the height of the billboard = (150/x - 10) ft
The width of the printed region billboard = (x - 2 × 2)
The width of the printed region billboard = (x - 4) ft
The area of the printed region of the billboard = The width of the printed region billboard × The height of the printed region billboard
The area of the printed region of the billboard = (150/x - 10)(x - 4)
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The complete question is:
A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 150 ft^2 (including the margins).
If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.
Area as a function of x =
Please I need some answers
Answers
If you split the circle into 4 equal parts, how many degrees will each piece be? Show your work.
Answers
Answer:360 degrees in a circle divide by 4 is 90
Step-by-step explanation: there are 360 degrees in a circle so divide that by 4 and you get 90
solve the equation 3x = 2x +5. what can you do to isolate the variable on one side of the equation 1. add 5 negative unit tiles to both sides.2. add 5 positive unit tiles to both sides.3. add 2 negative x-tiles to both sides 4. add 2 positive x-tiles to both sides
Answers
To isolate only one variable on one side of the equation, you'll need to subtract -2x from both sides of the equation. So only option 3 from the given choices suffice this condition.
Help please will mark brainliest!
Answers
Answer:
106
Step-by-step explanation:
At a meeting for math enthusiasts, two entrance fees are charged. Anyone who knows the code word “algemath” only pays 2 euros. Those who are unlucky and do not know the code word pay three euros more. You know that 7338 people were present and that the cashier received 17487 euros. How many people knew the password?
Answers
Number of People who knows the Code are 6401
What is Linear Equation in Two Variable?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let, Number of People who kows the Code be x
Number of Peoplee who do not know the Code be y
According to the Question:
x + y = 7338 ----------(i)
2x + 5y = 17487 ----------(ii)
Multiplying Equation (i) by 2
2x + 2y = 14676 ---------(iii)
Substracting Equation (iii) from Equation (ii)
3y = 2811
y = 937
This means x = 6401
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Sara wants to make dinner for herself the recipe she will use calls for 13 1/2 ounces of chopped nuts however the recipe feeds 6 people how many ounces of chopped nuts does Sara need for one serving
Answers
Sara need 9/4 ounces of chopped nuts
How to calculate the number of chopped nuts that sara needs?Sara wants to make dinner for herself
The recipe she will use calls for 13 1/2 ounces
The recipe feeds 6 people
The number of ounces of chopped nuts that Sara needs can be calculated as follows
13 1/2
= 27/2 ÷ 6
= 27/2 × 1/6
= 27/12
= 9/4
Hence Sara needs 9/4 ounces of chopped nuts for one serving
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please help
i cant do this
Answers
Answer:
42 sq. cm
Step-by-step explanation:
Answer: 42 sq. cm
Length of Big Rectangle: 7
Width of Big Rectangle 7+0.5+0.5 = 8
Area of Big Rectangle: 56
Area of Small Rectangle = 0.5*7 = 3.5
Area of 4 Small Rectangles = 3.5 *4 = 14
Shaded Area = Big Rectangle - 4 Small Rectangles = 56 - 14 = 42 sq. cm
Researchers wanted to study whether or not Botox injected under the arms can reduce sweating. Which of these is a matched pairs design?
Answers
The option that's a matched pairs design in the research is B. For each subject, one underarm is injected with Botox, and the other with salt water.
How to illustrate the information?A matched pair design is used when there are only two treatment conditions in the experiment, and the subject of the experiment is such that it can be grouped into pairs.
In this case, the option that's a matched pairs design in the research is that for each subject, one underarm is injected with Botox, and the other with salt water
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Researchers wanted to study whether or not Botox injected under the arms can reduce sweating.
Which of these is a matched pairs design?
A: Randomly assign the underarms of some subjects to be injected with Botox, and those of other subjects with salt water.
B: For each subject, one underarm is injected with Botox, and the other with salt water.
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
Answers
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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