Answer:
9th, 10th and 11th terms; 32, 37 and 42=============================
Given AP:
-8, - 3, 2, ...We observe that:
The first term is a = - 8,The common difference is d = -3 - (-8) = 2 - (-3) = 5.Let the three terms be aₙ, aₙ₊₁, aₙ₊₂.
Use nth term formula:
aₙ = a + (n - 1)d = - 8 + (n - 1)*5 = - 8 + 5n - 5 = 5n - 13The following two terms are:
aₙ₊₁ = 5n - 13 + 5 = 5n - 8aₙ₊₂ = 5n - 8 + 5 = 5n - 3Their sum is 111, set an equation and solve for n:
5n - 13 + 5n - 8 + 5n - 3 = 11115n - 24 = 11115n = 135n = 135/15n = 9The three terms are 9th, 10th and 11th terms and they are:
5*9 - 13 = 45 - 13 = 3232 + 5 = 3737 + 5 = 42A zebra runs 600ft per 10 seconds, how many miles per hour does it run?
Answer: 40.91 mph
Step-by-step explanation:
600 ft/10 seconds=
600*6 ft/(10*6) seconds=
3600 ft/60 seconds=
3600 ft/1 minute =
3600*60 ft/(1*60) minute=
216000 ft/60 minutes=
216000 ft/hour=
(216000/5280) miles/hour= 40.91 mph
The average price for regular gasoline in Toronto is $1.35 per liter, or L (in Canadian dollars, as of
April 2014).
Part A: The exchange rate between the US and Canada varies continuously. Assume that, in April
2014, the rate was US$ 0.92 for each Canadian dollar. Determine the cost in U.S. dollars (US$) for 1 L
of gasoline in Toronto. Round to the nearest cent.
Hint
$1.35 Canadian = US$
Part B: There are 3.78541 L in 1 gallon (gal). Determine the cost in U.S. dollars (US$) for 1 gal of
gasoline in Toronto. Round to the nearest cent.
Hint
1 gal costs US$
a. $1.35 Canadian dollar will be 124 cents.
b. cost in U.S. dollars (US$) for 1 gal of gasoline in Toronto will be $5.11.
How to calculate the value?A. It should be noted that the rate was US$ 0.92 for each Canadian dollar.
Therefore, $1.35 Canadian dollar will be:
= 1.35 × 0.92
= $1.24 = 124 cents.
B. The cost in U.S. dollars (US$) for 1 gal of gasoline in Toronto will be:
= 3.78541 × 1.35
= $5.11
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Mr. Price deposited $170 in his bank. The number of $5 bills was 3 times the number of
$10 bills, and the number of $1 bills was 30 more than the number of $5 bills. How many
bills of each type did he deposit?
Mr. Price deposited a $10 bill for $50, a $5 bill for $75, and a $1 bill for $45.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given that the number of $5 bills was 3 times the number of $10 bills
Let the number of $10 bills would be x
As per the given condition,
$10 = x
$5 = 3x
$1 = 3x+30
Since he deposited $170 in his bank.
So 10x + 5(3x) + 1(3x+30) = 170
⇒ 25x+3x+30=170
⇒ 28x=140
⇒ x = 5
Therefore, $10 for $50
So 3x = 15, $5 for $75
So 3x+30 = 45, $1 for $45
Hence, he deposited a $10 bill for $50, a $5 bill for $75, and a $1 bill for $45.
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Please help due soon.
Answer should be l=p-w/2, or c.
The formula for the area of a circle is shown, where d
is the diameter. A=πd2(exponent is the2) over 4
What is the equation for the diameter d
of a circle in terms of the area A? a: d=4πA. b: d=A4π−−√ c: d=2Aπ−−√. d: d=4π−−√A2
Answer:
Step-by-step explanation:
The set of life spans of an appliance is normally distributed with a mean = 48 months and a standard deviation = 8 months. what is the z-score of an appliance that stopped working at 64 months?
The z-score of an appliance that failed after 64 months is 2.
What is mean?In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific set of data, often in order to better understand the overall value (magnitude and sign) of a given data set.The arithmetic mean, also known as "arithmetic average," of a data set is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.To find the z-score:
The given parameters are:
Mean, [tex]\mu[/tex] = 48 monthsStandard deviation, [tex]\sigma[/tex] = 8 monthsThe z-score is then computed as follows:
[tex]z=\frac{x-\mu}{\sigma}[/tex]We have the following for an appliance that stopped working after 64 months:
x = 64So, the equation becomes:
z = 64 - 48/8Compare and contrast the differences:
z = 16/8Calculate the quotient:
z = 2Therefore, the z-score of an appliance that failed after 64 months is 2.
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15/16 as a decimal rounded to the nearest hundred
Answer:
0.9375 or 0.94
It cannot be rounder to the nearest hundred, but it can be rounded to the nearest hundredth
You also could've just gone and searched 15/16. T-T
The decimal 15/16 is a decimal rounded to the nearest hundred will be 0.9375.
Decimal consists of two parts whole number and a fraction part. They are separated by a term called decimal.
Example = 532.11
we know that 15/16 is a fraction, so we divide 15/16 on dividing it we will get,
[tex]\frac{15}{16}[/tex] = [tex]\frac{9735}{1000}[/tex]
= [tex]0.9375[/tex]
On rounding to the nearest hundred we get 0.9375.
since it is asked for a hundred place not for the hundredth place so value will remain the same.
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Write an expression for the area of a rectangle if the length is 2x^2-3x+1 and the width is x-2.
The expression for the area of a rectangle is [tex]2x^3-7x^2+6x-2[/tex].
It is given in the question that the length of the rectangle is [tex]2x^2-3x+1[/tex] and width is (x - 2).
We have to find a expression for the area of a rectangle.
We know that,
Area of a rectangle = l * b
Where,
l represents the length of the rectangle
b represents the breadth of the rectangle
Hence, using the data given in the question, we can write,
Area of a rectangle = [tex](2x^2-3x+1)*(x-2)[/tex]
Area of a rectangle = [tex](2x^3)+(-4x^2)+(-3x^2)+(6x)+(-2)[/tex]
Area of a rectangle = [tex]2x^3-7x^2+6x-2[/tex]
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Roslan had a total of 50$ in 10-cents coins,20- cent coins and 50-cents coins .the value of his 10- cents coins was 30% of the total value of all his coins.the value of his 20-coins wad 28% of the total value of all his coins. what was the value of his 50-cents coins?
The value of 50-cents coins is $21, the value of 10-cents coins is $15 and the value of the 20-cents coins is $14.
Percentage of the number:
Percentage is defined as the a number or ratio that can be expressed as a fraction of 100.
If we have to calculate percent of a number, divide the number by the whole and multiply by 100.
Given,
Roslan had a total of 50$ in 10-cents coins,20- cent coins and 50-cents coins.
The value of his 10- cents coins was 30% of the total value of all his coins.
The value of his 20-cents coins was 28% of the total value of all his coins.
Here we need to find the value of 50-cent coins.
We know that,
Total value = $50
So the value of 10-cent coins
=> 30% × $50 = $15
Then the value of 20-cent coins
=> 28% × $50 = $14
Through the known values of 10-cents and 20-cents we have calculate the value of 50-cents coins as,
=> $50 – $15 – $14 = $21
Therefore, the value of 50-cents coins is $21.
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if 52-4x=28, then x=6
Quinten has a secret. On the first day of school, he tells his closest friend. On the second day, they each tell the
secret to someone else. Each person that hears the secret shares the secret with a new person each day.
a. How many people will know the secret on the 4th day of school?
On the 4th day of the school, the secret Quinten shared with his closest friend will be known to 16 persons.
What is Geometric progression?
A sequence in which the ratio of any term and its previous term is equal to a fixed constant called common ratio [r] is called geometric progression. For example -
3, 6, 12, 24, ... and so on.
Given that Quinten shares a secret with his friend and each person that hears the secret shares the secret with a new person each day.
On the first day only 2 people know the secret i.e. Quinten and his close friend. Now, they both will tell one new person on second day, which means that by the end of second day four persons will know the secret. Now, these four persons will share with new individual, this gives us a total of 8 persons, who knows the secret by the end of day three and so on.
Now, we get the following sequence -
2, 4, 8, ...... and on.
Now, we can clearly see that -
4/2 = 8/4 = 2
Therefore, this sequence is a geometric progression with common ratio
r = 2.
Assume the 4th term of GP is x. Therefore -
x/8 = 2
x = 16
Therefore, on the 4th day of the school, the secret Quinten shared with his closest friend will be known to 16 persons.
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The mass of Earth in Kilograms is about 6 x 10 to the 24 power, and the mass of the moon is about 7 x 10 to the 22 power. What is the sum of the masses of earth and its moon
The sum of the masses of earth and its moon is 6.07 * 10^24kg
Sum of scientific valuesScientific values are values expressed in the form A * 10^n
where
A is any value between 1 and 10
n is any integer
Given the following
Mass of earth = 6 *10^24kg
Mass of moon. = 7 *10^22kg
Take the sum
Sum = 600 * 10^22 + 7 * 10^22
Sum = 607 * 10^22
Sum = 6.07 * 10^24
Hence the sum of the masses of earth and its moon is 6.07 * 10^24kg
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A square has a vertex at (2,3). Name three other possible vertices of the square.
The three other possible vertices of the square are; (-3, 3), (-3, -2) and (2, -2)
What are the vertices of the square?
We are given the vertex of the square as (2, 3).
Now, it is well known that the sides of a square are equal.
This means that there must be another vertex that will have 3 as its' y-coordinate. Similarly, there will be a different coordinate that will have its' x-coordinate as 2.
Similarly, another 2 points will be reflected over the y-axis to get a negative of the previous two x-values. This also applies to the y-values. Thus, when we combine all these together, we will have the coordinates as; (2, 3), (-3, 3), (-3, -2) and (2, -2)
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What is 166.44 dived by 4. PLEASE USE LONG DIVISION. The person who USES LONG DIVISION TO GET THE ANSWER GETS 10 points and brainiest.
Answer:
41.61
Step-by-step explanation:
Just divide.
[tex]\begin{matrix}4\overline{|\smallspace166.44}\:\:\:\:\:\:\:\end{matrix}[/tex]
Answer: We have the equation:
166.44 ÷ 4 = 41.610
Calculated to 3 decimal places.
0 4 1. 6 1 0
4 1 6 6. 4 4 0
− 0
1 6
− 1 6
0 6
− 4
2 4
− 2 4
0 4
− 4
0 0
− 0
0
Step-by-step explanation: hope this helps
Lisa works a weekend job for some extra money during school. She works Friday for 5 hours, Saturday for 8 hours and Sunday for 3 hours.
On Friday she makes $55.
On Saturday she makes $88.
On Sunday she makes $33.
How much money does Lisa make per hour at her job?
HOW TO DO???
- First you have to find how much money does she get per hour on each day
- Then add the amounts together
SLOVE
Lisa get: 55 : 5= 11$ per hour on Friday
Lisa get: 88 : 8= 11$ per hour on Saturday
Lisa get: 33 : 3= 11$ per hour on Sunday
At the end Lisa get: 11$ x 3= 33$ per hour at her job
{ I think my English isn't very good either because I'm just intermediate so I hope you understand it.}
Line p has slope of 7/3 line q is pararellel to line p. What is the slope of line q?
The Slope of the line q is 7/3
Given that a line “p” has a slope [tex]\frac{7}{3}[/tex] , another line “q” is given which is parallel to line “p”, and asked the slope of line “q”
Parallel lines:
Parallel lines are two or even more lines that lie on the same plane but never intersect. They are equal in distance and have the same slope.
The slope of parallel lines are equal so, the slope of line “p” is equal to the slope of line “q”
The slope of line “p”=slope of line “q”
Given that the slope of line “P”=[tex]\frac{7}{3}[/tex]
therefore, The slope of the line q is [tex]\frac{7}{3}[/tex]
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When analyzing three linear functions, Bill noticed that they all intersect at the point (10,10). What conclusion can Bill come to about the linear function with the largest slope?
a. It has the highest y-intercept.
b. It has the middle y-intercept.
c. It has the lowest y-intercept.
d. Bill cannot conclude anything.
2. The equation x² + px + q = 0, where p and q are constants, has roots -3 and 5.
(i) Find the values of p and q.
(ii) Using these values of p and q, find the value of the constant r for which the equation
x² + px + q + r = 0 has equal roots.
[3]
The result are-
p = -2 and q = -15.constant r = 64.What is defined as the roots of the quadratic equation?The values of x that correspond to the given quadratic equation ax² + bx + c = 0 are known as its roots.
They are, in other words, the values of the variable (x) that satisfy the equation. The roots of such a quadratic function are indeed the x-coordinates of the function's x-intercepts.The discriminant value indicates how often roots f(x) has: - The quadratic function does have two distinct real roots if b² - 4ac > 0. The quadratic function contains a single repeated real root if b² - 4ac = 0. If b² - 4ac = 0, the quadratic function has really no true roots.For, the given expression;
x² + px + q = 0. ....... (equation 1)
where p and q are constants, has roots -3 and 5.
Part 1: solve for p and q.
Put x = -3 in equation 1.
p(-3) = (-3)² + p(-3) + q = 0
9 - 3p + q = 0 .........(equation 2)
Now, put x = 5 in equation 1.
p(5) = (5)² + p(5) + q = 0
25 + 5p + q = 0 ..........(equation 2)
Solve equation 2 and 3 by elimination method.
p = -2 and q = -15.
Part 2: Estimate the constant r.
The equation is; x² + px + q + r = 0.
Substitute the values of p = -2 and q = -15.
x² + (-2)x + (-15) + r = 0.
As, the equation given real equal roots; then,
discriminant value: b² - 4ac = 0.
Substitute the values;
(-2)² - 4×1×(-15 + r) = 0
On simplification;
4 + 60 - r = 0
r = 64.
Therefore, the value of the constant r is estimated as 64.
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Solve for x. (2x+3) (x-6)
Answer: 2x^2 − 9x − 18
Step-by-step explanation:
(2x + 3)(x − 6)
= (2x + 3)(x + −6)
= (2x)(x) + (2x)(−6) + (3)(x) + (3)(−6)
= 2x^2 −12x + 3x − 18
= 2x^2 − 9x − 18
please help me out with 2, 5, 8, 9, 7, and 10!
Considering the condition for a relation to be a function, we have that:
These items represent functions: 2, 5, 9, 10B.These items do not represent functions: 7, 8, 10A.When does a relation represents a function?A graph represents a function if each value of the input is mapped to only one value of the output.
When does a graph represents a function?A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.
Hence:
The table in item 2 represents a function, as each value of x is mapped to only one value of y.The relation in item 5 represents a function, as each value of x is mapped to only one value of y.The table in item 7 does not represent a function, as the input -4 is mapped to two outputs, -2 and 2.The relation in item 8 does not represent a function, as the input 1 is mapped to two outputs, -1 and 1.The graph in item 9 represents a function, as it has no vertically aligned points.The table A in item 10 does not represent a function, as the input -9 is mapped to multiple(four) outputs.The table B in item 10 represents a function, as each value of x is mapped to only one value of y.More can be learned about relations and functions at https://brainly.com/question/12463448
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How many seals would be needed to replace the ? And keep both sides balanced
Answer:
6 zebras
Step-by-step explanation:
The width of a rectangle measures
(t - 9u) centimeters, and its length
measures (4t - 4u) centimeters. Which
expression represents the perimeter, in
centimeters, of the rectangle?
The perimeter of the rectangle can be expressed as 10t - 26u centimeters.
What is perimeter?Perimeter is the total length of the outer boundary of a two-dimensional shape or a three-dimensional space. It is a measure of the length around the outside of an object or a space and is usually expressed in linear units, such as millimeters, centimeters, meters, or kilometers.
The perimeter of a rectangle is the sum of the lengths of all four sides. Since the width and length of the rectangle are given as (t - 9u) centimeters and (4t - 4u) centimeters, respectively, the perimeter of the rectangle can be expressed as:
Perimeter = 2(t - 9u) + 2(4t - 4u)
Perimeter = 2t - 18u + 8t - 8u
Perimeter = 10t - 26u centimeters
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What is the output of the following command, given that value1 = 2.0 and value2 = 12
if value1 = 2.0 and value2 = 12, then the output of a following command = 24.0
The correct option is A.
Briefing:The output of the given document is issued is 24.0 (2.0 * 12=24, i.e., it is simply the multiplication operation) if both values, i.e., value 1 and value 2, are taken into consideration as decimal data type values.
A simple data type is what, exactly?There is only one value represented by simple data types. Integer: a basic data type used in the creation of policies. A positive or negative whole number is represented by the integer data type. 0, 1, 2, 3, and 4 are examples of integers.
Why do we employ data types?An attribute of data that instructs a computer system how to interpret its value is called the data type. Knowing the different types of data makes it possible to collect information in the desired format and ensure that the values of each property are as expected.
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I understand that the question you are looking for is:
What is the output of the following command, given that value1 = 2.0 and value2 = 12? print (value+ value2)
A) 24.0
B) value + value2
C) 24
D) 2.0 + 12
In a chi-square test, as the value of the χ2 increases, the likelihood of rejecting the null hypothesis ________.
If the chi-square value is going on English the likelihood of rejecting the null hypothesis also increases because there is a chance that the chi-square value increases more than the significant value that is given in the question. So the required answer is that increases as the required answer.
For example, if, according to Mendel's laws, you expected 10 of 20 offspring from a cross to be male and the actual observed number was 8 males, then you might want to know about the "goodness to fit" between the observed and expected.
Were the deviations (differences between observed and expected) the result of chance, or were they due to other factors? How much deviation can occur before you, the investigator must conclude that something other than chance is at work, causing the observed to differ from the expected.
The chi-square test is always testing what scientists call the null hypothesis, which states that there is no significant difference between the expected and observed result.
The formula for calculating chi-square ( 2) is:
2= (o-e)2/e
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-x-12-3 or -62-x-1< need help with this please
Answer is x ≤ - 4
According to the question ,
- 3 ≥ x + 1
rearrange the equation
x + 1 ≤ - 3
x ≤ - 4 {solution of inequality}
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign
While graphing inequalities, we have to keep the following things in mind.
For graphing inequalities with two variables, you will have to plot the "equals" line and then, shade the appropriate area. There are three steps:
Write the equation such as "y" is on the left and everything else on the right.
Plot the "y=" line (draw a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade the region above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
If the endpoint is included (i.e., in case of ≤ or ≥) use a closed circle.
If the endpoint is NOT included (i.e., in case of < or >), use an open circle.
Use open circle at either ∞ or -∞.
Draw a line from the endpoint that extends to the right side if the variable is greater than the number.
Draw a line from the endpoint that extends to the left side if the variable is lesser than the number.
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A bakery sells hot chocolate in small cups and large cups. The prices are shown on the sign.
Hot Chocolate Prices
Small.........
(8 fluid ounces)
Large.......
(12 fluid ounces)
$2.99 each
%
$3.99 each
The bakery sold 64 cups of hot chocolate today. The ratio of small cups to large cups sold today was 5 to 3.
What percentage of money earned from the hot chocolate sales today was from the sale of large cups? Round the ans
whole percentage. Enter the answer in the box.
The percentage of money earned from the sale of hot chocolate is 44%.
How much is earned from the sale of hot chocolate?
Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).
Number of large cups bought = (3/8) x 64 = 24
Number of small cups bought = (5/8) x 64 = 40
Total revenue from selling large cups = 24 x 3.99 = $95.76
Total revenue from selling small cups = 40 x 2.99 = $119.60
Total profit = $119.60 + $95.76 = 215.36
Percentage earned from the sale of large cups = (95.76 / 215.36) x 100 = 44%
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637,982 + 2,819 i need it
Answer: 640801
Step-by-step explanation: Simply add both together, 637,982 plus 2819.
Answer:
637, 982 + 2,819 = 640,801
Need help with this problem step by step asap
-27-8v>-7(6v-5)+6
Answer:
Step-by-step explanation:
v > 2
hope this helps :)
Is the function even, odd, or neither? Explain your reasoning.
Answer:
The function is neither odd, nor even
Step-by-step explanation:
It is because an even function is always symmetrical in respect with the y axis
It is because an odd function is always symmetrical in respect with the origin
For Exercises 23 and 24, find the value of x and the measure of each interior angle
If the interior angles in the octagon is (4x-80)°, (4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°,(4x-80)°,(2x+50)°,(2x+50)° then the value of x is equal to 50.
Given that the interior angles in the octagon is (4x-80)°, (4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°,(4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°.
We are required to find the value of x that are used in the angles of the given octagon.
Octagon is the shape that has eight sides,eight vertices,eight angles. Sum of all the interior angles of octagon is equal to 1080°.
(4x-80)°+ (4x-80)°+(2x+50)°+(2x+50)°+(4x-80)°+(4x-80)°+(2x+50)°+(2x+50)°=1080
24x-120=1080
24x=1080+120
24x=1200
x=1200/24
x=50
Hence if the interior angles in the octagon is (4x-80)°, (4x-80)°,(2x+50)°,(2x+50)°,(4x-80)°,(4x-80)°,(2x+50)°,(2x+50)° then the value of x is equal to 50.
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