Answer:
3, 7, 11, 15, 19, 23, 27, 31, 35, 39difference between two successive numbers in the series is constant and equals 4
4, 9, 14, 19, 24, 29, 34, 39, 44, 49difference between two successive numbers in the series is constant and equals 5
5, 11, 17, 23, 29, 35, 41, 47, 53, 59difference between two successive numbers in the series is constant and equals 6
4, 85, 1210, 1615, 2020, 2425, 2830, 3235it's a combination of two different series the earlier digits of the series come from the multiplication table of 4 and the later digits come from that of 5. Also note that the series of 5 is starting from the second serial
like,
4 × 1 = 8
4 × 2 5 × 1= 85
and that way I got all these numbers
7, 149, 2118, 2827, 3536, 4245, 4954, 5663this is also a combination of two series with earlier digits from table of 7 and the later from that if 9. here as well the series of 9 starts from from second serial
7 × 1 = 7
7 × 2 9 × 1 = 149
and so on
The sum of the digits of a two-digit number is 14. When the digits are
reversed, the new number is 36 less than the original number. Find the
original number. Check your answer.
O The original number is 59.
O The original number is 68.
O The original number is 86.
O The original number is 95
First, lets figure out which ones add up to 14
5+9=14
6+8=14
8+6=14
9+5=14
They all add up to 14.
Next, reverse the digits and see if it is 36 less than the original number
95 is not 36 less than 59
86 is not 36 less than 68
68 is only 18 less than 86
59 is 36 less than 95
So, the answer would be 95.
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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Jake is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $13 as service charges. Company B charges $28 per mattress and an additional $15 as service charges.
Part A: Write equations to represent Company A's and Company B's total mattress cleaning charges for a certain number of mattresses. Define the variable used in the equations. (1 point)
Part B: Which company would charge less for cleaning 4 mattresses? Justify your answer. (1 point)
Part C: How much money is saved by using the services of Company B instead of Company A to clean 7 mattresses?
The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,
Company A: y = 30x + 13
Company B: y = 28x + 15
The amount for x = 4 is given as,
Company A: y = 30 (4) + 13 = $133
Company B: y = 28 (4) + 15 = $127
The amount for x = 4 is given as,
Company A: y = 30 (7) + 13 = $223
Company B: y = 28 (7) + 15 = $211
Then the amount of money saved is given as,
⇒ $233 - $211
⇒ $22
The amount of money saved to clean 7 mattresses is $22.
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A student solves the following problem:
Problem: 2(x−3)+3x=19
Step 1: 2x−6+3x=19
Step 2: 6x−6=19
Step 3: 6x−6 + 6=19 + 6
Step 4: 6x=25
Step 5: 6x6=256
Step 6: x≈4.17
Where is the mistake? What did the student do incorrectly?
Responses
Step 3: Student should have subtracted 6 from both sides, not added 6.
Step 5: Student should have subtracted 6 from both sides, not divided by 6
Step 1: Student should have only distributed the 2 to the x and not the x & 3.
Step 2: Student should have added 2x + 3x = 5x, not 2 x 3 = 6x
Answer:
error in Step 2
Step-by-step explanation:
2(x - 3) + 3x = 19
Step 1 : 2x - 6 + 3x = 19 ← simplify left side by collecting like terms
Step 2 : 5x - 6 = 19 ← add 6 to both sides
Step 3 : 5x - 6 + 6 = 19 + 6
Step 4 : 5x = 25 ← divide both sides by 5
Step 5 : x = 5
Error was made by student in Step 2 who should have added 2x and 3x, not multiplied 2 × 3
There are 16 city buses. There are 806 people waiting to get on a bus. How many people will not fit on a bus?
A
12 people
B
10 people
C
6 people
D
3 people
what’s 100/12 as a mixed number
Answer: 8 1/3
Step-by-step explanation:
100/12 = 8.33333333
8 4/12
8 1/3
PLEASE HELPPPPPPPPPPP!!!
IS C THE CORRECT ONE, easy I’ll make BRAINLIEST
Answer:
yes it is
Step-by-step explanation:
Answer:
yeah
Step-by-step explanation:
Two times x, minus the quantity 7 times y, equals 20
In order to determine the associated algebraic equation of the given statement, you consider part by part.
Two times x: 2x
minus the quantity 7 times y: - 7y
equals 20: = 20
Which is equivalent to:
2x - 7y = 20
two rectangular prisms, m and n, are mathematically similar. The volumes of m and n are 17cm^3 and 136cm^3, respectively. The height of N is 18 cm. Find the corresponding height of m.
The corresponding height of similar rectangular prism m is 9 centimeter.
Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.
If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.
The height of n is 18 cm.
Here, m³/n³ = 17/136
m³/18³ = 17/136
m³/18³ = 17/136
(m/18)³ = 1/8
(m/18)³ = (1/2)³
m/18 = 1/2
m=9 cm
Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.
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Which triangle is △ABC similar to and why?
Answer:
can we get a picture
Step-by-step explanation:
What fraction is equivalent to 10 and has a denominator of 100? (2 points)
6
100
7
60
100
o
600
100
a
60
10
Answer:
1000 / 100
Step-by-step explanation:
Answer:
ff
Step-by-step explanation:
A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds. Assume that the sample is taken from a large population and the correction factor can be ignored. Round your final
answer to four decimal places and intermediate z-value calculations to two decimal places
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:
0.5874 = 58.74%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem:
\(Z = \frac{X - \mu}{s}\)
Z = (18.1 - 17.2)/0.3953
Z = 2.28
Z = 2.28 has a p-value of 0.9887.
Z = (17.1 - 17.2)/0.3953
Z = -0.25
Z = -0.25 has a p-value of 0.4013.
Hence:
0.9887 - 0.4013 = 0.5874 = 58.74%.
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Peter, Gordon and Gavin share £36 in a ratio 2:1:1. How much money does each person get?
Answer:
Peter gets 18£
Gordon and Gavin each get 9£
Answer:
peter = 18 Gordon = 9 Gavin = 9
Step-by-step explanation:
2+1+1 = 4
36 div 4 = 9
2 times 9 = 18
1 times 9 = 9
Ends of a diameter: (16,-2) and (16,-4). Find the standard equation of the circle.
Given the endpoints of the diameter are (16,-2) and (16,-4).
Find the center of the circle by finding the midpoint of the line segment joining (16, -2) and (16,-4).
\(\begin{gathered} M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}) \\ =(\frac{16+16}{2},\frac{-2-4}{2}) \\ =(16,-3) \end{gathered}\)Now, find the radius of the circle using the distance formula.
\(\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ =\sqrt[]{(16-16)^2+(-4-(-2))^2} \\ =\sqrt[]{(-2)^2} \\ =2 \end{gathered}\)Thus, the diameter of the circle is 2. Hence the radius is 1 unit.
The standard equation of a circle is
\((x-h)^2+(y-k)^2=r^2\)where (h, k) is the center and r is the radius.
Substitute the obtained values into the equation.
\((x-16)^2+(y+3)^2=1\)Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation. What are the values a, b, and c in the following quadratic equation? -3x^2 -5x +9 =0
Answer:
The quadratic equation is in the standard form: ax^2 + bx + c = 0. To use the quadratic formula to find the solutions, we need to identify the values of a, b, and c in the equation:
a is the coefficient of the x^2 term, which is -3 in this case.
b is the coefficient of the x term, which is -5 in this case.
c is the constant term, which is 9 in this case.
Therefore, the values of a, b, and c in the quadratic equation -3x^2 - 5x + 9 = 0 are:
a = -3
b = -5
c = 9
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Consider the equation below.
\(3x^{3x-2}=81\)
To solve the given exponential equation, solve the linear equation \(3x-2=\)
Answer:
\(ıf \: {3x}^{3x - 2} = 81\)
Step-by-step explanation:
use logarithmic function
\( log_{3x}(81) = 3x - 2\)
Answer:
4 and x=2
Step-by-step explanation:
:}
Select the correct answer.
Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14?
68% of the data points lie between 10 and 14.
68% of the data points lie between 8 and 12.
68% of the data points lie between 10 and 18.
68% of the data points lie between 10 and 16.
Answer:
68% of the data points lie between 10 and 18.
Step-by-step explanation:
one standard deviation to left of mean = 14 - 4 =10
one standard deviation to right of mean = 14 + 4 = 18
68% of data is in this region.
so the answer is 68% of the data points lie between 10 and 18.
what is the sum of the 2 smallest angles in a right triangle?
Answer: 90 degrees
Step-by-step explanation: The sum of all of the angles of a triangle is 180 degrees and the right angle is 90 degrees which means that the other two angles equals 90 degrees.
Answer:
In a right triangle, one angle measures 90 degrees, which is the largest angle. The sum of the two smaller angles must be equal to the difference between 180 degrees (the sum of all angles in a triangle) and 90 degrees (the measure of the right angle). Therefore, the sum of the two smallest angles in a right triangle is always equal to 90 degrees.
Hope this helps! Have a great day!
What is 3 3/4 ft to yards as a mixed number?
The value of 3¾ft in yards would be = 1 6/25 yard
What is a mixed number?A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.
To convert to yards;
1 ft = 0.33 yard
3¾ = X yards
make x yards the subject of formula;
X yards = 3¾ × 0.33
X yards = 3.75×0.33
X yards = 1.24 yards
X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.
Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25
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1) Note the following polynomial:
6 + 9x^2 + 3x^3 + 2x^4 - 12x
Part A) Rewrite the polynomial in standard form.
Part B) What is the degree of this polynomial ?
Part C) Use the Rule of Signs to determine the options of possible number of positive zeroes, negative zeroes and complex zeroes
Part D) Use the rational root theorem to determine what positive or negative numbers could be the roots of this polynomial.
Part E) graph this polynomial. Present a sketch or a screenshot of graph please.
Part F) Based on your graph, how many positive, negative and complex zeroes does this polynomial have ?
PLEAS HELP AND SHOW WORK! 25 POINTS and DON"T FORGET ABOUT THE GRAPH!
The powers, (index) and coefficients of the polynomial indicates;
(A) The standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6
(B) 4
(C) Positive zeroes; 2 or 0, negative zeroes; 0 or 2, complex zeroes; 0 or 2 or 4
(D) ±1/2, ±1, ±3/2, ±2, ±3, ±6
(E) Please find attached the graph of the polynomial created with MS Excel
(F) Four complex roots
What is a polynomial?A polynomial is a mathematical expression that consists of variables and coefficients joined together by addition, subtraction and multiplication, with the exponents of the variables consisting of positive integer values.
Part A) The polynomial in standard form is; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6
Part B) The degree of the polynomial is 4, as the highest power of the polynomial is 4
Part C) The use of the Rule of Signs, to determine the options for the number of positive zeroes, negative zeroes and complex zeroes, can be presented as follows;
Positive zeroes options; The number of time the signs coefficients of the expression; 2·x⁴ + 3·x³ + 9·x² - 12·x + 6, changes are two as follows;
+6 to -12, and from -12 to +9, therefore, the number of possible positive zeroes are 2 or 0, positive zeroes
The negative zeroes options; The negative zeroes options can be found by changing the sign of all the coefficients as follows; -2·x⁴ - 3·x³ - 9·x² + 12·x - 6, therefore, the number of times the sign of the coefficients change are again from -6 to +12, and from +12 to -9, which is 2 times, therefore;
The possible number of negative zeros are 2 or 0, negative zeroes
Whereby there are possibly 0 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 4
Whereby there are 2 negative zeros and 0 positive zeroes, the possible number of complex zeroes are 2 complex zeroes
Whereby there are possibly 0 negative zeros and 2 positive zeroes, the possible number of complex zeroes are 2 complex zeroes
Part D) The rational roots theorem indicates that for a polynomial the rational roots are in the form p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient.
The constant term is 6, and the leading coefficient is 2. The factors of 6 are ±1, ±2, ±3, and ±6 and the factors of 2 are; ±1, ±2 therefore;
p/q = ±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, ±6/2, which can be summarized as; ±1/2, ±1, ±3/2, ±2, ±3, ±6
Part E) Please find attached a screenshot of the graph of the polynomial created with MS Excel
Part F) The attached graph of the polynomial, created with MS Excel, indicates that there are no real zeros of the polynomial, therefore, there are four complex zeroes of the polynomial
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Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work. (10 points)
MARKING BRINLIEST AND GIVING A LOT OF POINTS PLSSSS HELP
The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.
Total number of Outfit Combinations:
There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.
No of favourable options:
As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .
Probability = Number of favourable outcomes/Total no. of combinations
Probability = 1/8
Probability = 0.125 or 12.5%
Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.
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What is the perimeter of the window?
4.5,4.316,4.32,4.312 from least to greatest
4.5, 4.316, 4.32, 4.312
= 4.500, 4.316, 4.320, 4.312
Look at the thousandths and hundreths place in the decimal section.
Least to greatest = 4.312 < 4.316 < 4.32 < 4.5
Fill in the blanks to write an equation in slope-intercept
for representing the function shown in the table.
Answer:
y=-3x+-8
yw brooooo
Step-by-step explanation:
yw
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
The distance between Basti and Cian is approximately 138.2 ft. Option D
To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.
Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.
Given:
Angle ABC = 50 degrees (angle opposite side AC)
Angle BAC = 60 degrees (angle opposite side BC)
Ali is 150 ft away from Basti (side AB)
We want to find the distance between Basti and Cian, which is side BC.
Using the Law of Sines, we have:
BC/sin(50) = AB/sin(60)
Substituting the known values:
BC/sin(50) = 150/sin(60)
To find BC, we can rearrange the equation:
BC = (150/sin(60)) * sin(50)
Using a calculator to evaluate the expression:
BC ≈ 138.2 ft
Option D is correct.
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Diane, Sam, and Boris served a total of 54 orders Monday at the school cafeteria. Diane served 6 fewer orders than Sam. Boris served 2 times as
many orders as Sam. How many orders did they each serve?
Number of orders Diane served:
Number of orders Sam served:
Number of orders Boris served:
Answer:
Let's denote:
- The number of orders Diane served as `D`
- The number of orders Sam served as `S`
- The number of orders Boris served as `B`
From the problem, we know:
1. `D + S + B = 54` (the total number of orders they served)
2. `D = S - 6` (Diane served 6 fewer orders than Sam)
3. `B = 2S` (Boris served 2 times as many orders as Sam)
We can substitute equations 2 and 3 into equation 1 to solve for the variables:
Substitute `D` and `B` in equation 1:
`(S - 6) + S + 2S = 54`
Combine like terms:
`4S - 6 = 54`
Add 6 to both sides:
`4S = 60`
Divide by 4:
`S = 15`
Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:
`D = S - 6 = 15 - 6 = 9`
`B = 2S = 2 * 15 = 30`
So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.
Solve. 3(x-2)+17=2(x+7)
Answer:
3
Step-by-step explanation:
3x-6+17=2x+14
3x+11=2x+14
x=3
Complete the information for that object by making estimates using appropriate units of measurement of the dimensions and by getting the actual measurements using an appropriate measuring instrument.
Answer:
hlo how are u?whats ur day is going
WELL GIVE U BRAINLIEST ASAP
Drag the numbers to order them from least to greatest.
Answer:
3/5 is the smallest, 7/9 is in the middle and 5/6 is the biggest
Step-by-step explanation:
Brainlest, Please!
Answer: 3/5 is first, 7/9 is second, and 5/6 is last.