The largest integer whose square has exactly digits when written in base is 28 in base 9 .
An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z .
Largest base 9 three digit number = 888
And it can be represented as 728 in base 10, largest square is 26^2 26 that is 28 in base 9.
Therefore the largest integer whose square has exactly digits when written in base is 28 in base 9 .
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20867
What is the y-coordinate of the y-intercept of the parabola y=x^2+1
Answer:
-1/4 or -0.25
Step-by-step explanation:
use completing the square
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Which pair of triangles can be proven congruent by the HL theorem?
2 right triangles have congruent hypotenuses.
2 triangles have one congruent angle and 2 congruent sides.
2 right triangles have congruent hypotenuses and another congruent side.
2 triangles have 3 congruent sides.
The pair of triangles that can be proven congruent by the HL theorem is: C. 2 right triangles having a pair of congruent hypotenuses and a pair of congruent side.
What is the HL Theorem?The HL theorem is a triangle congruence theorem which states that two right triangles are congruent to each other, if the hypotenuse of one is congruent to the hypotenuse, and also if one leg of one right triangle is congruent to a corresponding leg in the other right triangle.
Thus, if two triangles are right triangles having a pair of congruent hypotenuses and another pair of congruent side, then they are congruent by the HL theorem.
In conclusion, the pair of triangles that can be proven congruent by the HL theorem is: C. 2 right triangles having a pair of congruent hypotenuses and a pair of congruent side.
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Determine the range of f(x) = |x| + 3
The range of the function f(x) = |x|+3 is [3,∞)
Given,
The function f(x) =|x|+3
Consider
f(0)=|0|+3= 3
f(1)=|1|+3= 4
f(2)=|2|+3= 5
We know
|x|≥0
So even if we take negative value for x, the |x| will be positive
So,
f(-1)=|-1|+3=1+3=4
f(-2)=|-2|+3= 2+3=5
We know, range is the set of all possible outcomes.
The range of the function f(x)= |x|+3 = [3,∞)
Hence, the range of the function f(x) = |x|+3 is [3,∞).
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Answer:
{y | 3 ≤ y < ∞}
Step-by-step explanation:
A probability distribution showing the probability of x successes in n trials, where the probability of success does not change from trial to trial, is termed a.
For a continuous distribution, the uniform distribution describes equal probability over a specific range. It is crucial as a reference distribution because of this. The creation of random numbers is one of the uniform distribution's most significant uses.
A particular probability distribution is called a binomial distribution. It is used to simulate the likelihood of getting one of two results out of a certain number of trials (N) of a discrete random event.
The expected outcome is referred to as a success in a binomial distribution, whereas any other event is referred to as a failure. A successful outcome has a probability of p, while a failure has a chance of 1 - p.
In n draws without replacement from a finite population of size N that contains exactly K objects with that feature, the hypergeometric distribution, a discrete probability distribution, describes the likelihood of k successes (random draws for which the drawn object has a specified feature), where each draw is either successful or unsuccessful. The binomial distribution, on the other hand, describes the likelihood of k successes in n draws with replacement.
The normal distribution sometimes referred to as the Gaussian distribution, is a probability distribution that is symmetric about the mean and demonstrates that data that are closer to the mean are more likely to occur than data that are farther from the mean. The normal distribution is depicted graphically as a "bell curve."
The correct option is (b) binomial probability distribution.
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is d=2t proprtional?????
The direct variation equation is in the form d = kt, where k is some constant. It's the constant of proportionality. In this case k = 2.
Given: B is between A and C, AB = 3x -4, BC = 4x + 2, and AC = 26. What is the value of x?
A. 6
B. 4
C. 3.7
D. 5
Answer:
B
Ab + bc =ac
3x-4 + 4x+2 =26
7x=28
x=4
simplify the following expression:
3 - x (4 + x) if x = 2
Answer:
Step-by-step explanation: We can plug 2 into the equation for x:
3 - 2(4 + 2)
Now let's distribute:
3 - 8 - 4
Now we can solve:
3 - 8 = -5
-5 - 4 = -9
Final answer: 3 - x(4 + x) = -9
Make x The Subject Of The Formula-
tx/q =y
HELP GUYS :((
Answer:
x = [tex]\frac{qy}{t}[/tex]
Step-by-step explanation:
[tex]\frac{tx}{q}[/tex] = y ( multiply both sides by q to clear the fraction )
tx = qy ( isolate x by dividing both sides by t )
x = [tex]\frac{qy}{t}[/tex]
What color is chicken nugget
Answer:
orange
Step-by-step explanation:
when you fried chicken nuggets it will turn to orange
what is 15/24 x 4 2/3
Please add steps!! 100 points!!
Construct a line through P that is perpendicular to the line.
Using the perpendicularity concept, the perpendicular line is given at the end of the answer.
What are perpendicular lines?Two lines are perpendicular, they intersect at and angle of 90º. Hence, for this problem, to construct a line through P that is perpendicular to the line, we just need to draw a line crossing P at an angle of 90º.
Thus, the perpendicular line is plotted at the end of the answer, with a line inserted crossing P at an angle of 90º.
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PLEASE HELP!!! An equation in slope intercept form of the line that passes through the points (-3, 5)
and (2, 15) is
Answer:
y = 2x + 11
Step-by-step explanation:
To find the slope, use the equation (y2 - y1)/ (x2 - x1). You get (15 - 5)/(2 - (-3), or 2. Then, use the slope you just found in the equation y - y1 = slope (x - x1), or y - 15 = 2 (x - 2). Simplifying down you get y = 2x -4 + 15, or y = 2x + 11, which is your final answer.
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Write the expression
(−7)⋅(−7)⋅5⋅5⋅5⋅5
using exponents.
Answer:
-7²·5⁴
Step-by-step explanation:
there are two 7
and four 5
what is 9^256? will give brainliest
Answer:
1.93233498E244
Step-by-step explanation:
Answer:
3.14159265
Step-by-step explanation:
Given the quadrilateral with the following vertices a(-2,3) b(-2,6) c(-6,-1) and d (-6,2). is the quadrilateral a parallelogram?
The quadrilateral is a parallelogram.
Properties of parallelogram,
a>The opposite sides of the parallelogram are equal and parallel.
b>parallel lines have an equal slope.
Let now find the length of the opposite side of the parallelogram
To find the length we have ,
[tex]\sqrt{(x_{2} ^{2} -x_{1} ^{2} ) +(y_{2} ^{2}-y_{1} ^{2} )}[/tex]
(-2, 3) , (-2, 6)
Slope = 6-3/ -2+2 = infinity
Length L1 = [tex]\sqrt{(-2 + 2)^{2} + (6 - 3)^{2} }[/tex]
= 9
(-6, -1), (-6, 2)
Slope = 2+1/ -6 + 6 = infinity
Length L2 = [tex]\sqrt{(-6 + 6)^{2} + ( 2 + 1)^{2} }[/tex]
= 9
Therefore the given vertices are of a parallelogram, as the length and slope are equal.
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Which choice is a correct equation for the graph shown below?
A y = 2x + 20
B. y = 3x + 1
C. y = 10x + 5
D. y = 15x + 35
Answer:
Option C - y=10x + 5
Step-by-step explanation:
All the options are in the y =mx+c form.
The gradient is 10 and the y-intercept is 5
so our answer it option c
Answer:
C. y = 10x + 5
Step-by-step explanation:
[tex]y = mx + c \\ \\ m = \frac{y2 - y1}{x2 - x1 \\ } \\ m = \frac{25 - 5}{ 2 - 0} \\ m = \frac{20}{2} \\ m = 10 \\ y = 10x + c \\ y = 10x + 5[/tex]
c = the y-intercept
In the figure below, m
Answer:
63
Step-by-step explanation:
Angle ABD equals 89. That is the whole figure. Angle EBD equals 26. So 89 minus 26 equals 63. So Angle ABC equals 63 degrees.
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. if they toll together at 11:00, at what time will they toll together again?
If Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10, and 12 seconds respectively and toll together at 11:00, then they will toll together again at 11:02.
Least common multiple abbreviated as LCM is used to determine the time at which the six bells will toll together again.
The least common multiple of two or more numbers is the smallest number that is a multiple of those numbers.
The least common multiple of 2, 4, 6, 8, 10, and 12 can be found by prime factorization.
Prime factorization of :
2 = 2^1
4 = 2 x 2 = 2^2
6 = 2 x 3
8 = 2^3
10 = 2 x 5
12 = 2 x 2 x 3 = 2^2 x 3
The least common multiple can be calculated by the multiplication of the prime factors raised to their highest power.
Therefore,
LCM = (2^3) (3) (5) = 120
Hence the bells will toll together again after 120 seconds
As 120 seconds = 2 minutes
Therefore, the time at which they will toll together again is calculated to be 11:02.
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pls help 6x+15=6(x-3) pls help with answer and explaining
Answer:
-33
Step-by-step explanation:
distribute;
6x + 15 = 6x - 18
subtract;
-15
simplify;
- 33
subtract from both sides;
-6
total;
-33
Answer:Answer is 0=-33
Step-by-step explanation:What you need to do is bring x by itself on one side and the other numbers on the other side The steps are
6x+15=6x-18
6x-6x=-18-15
0=-33
a college instructor is interested to compare final exam scores for three different sections of a statistics course: an online section versus a hybrid section versus a face to face section. the final exam scores for a sample of students from each of these three course sections are provided in the attached dataset. the instructor is interested to know if there is a statistical difference in the average final exam scores for these three sections of a statistics course, or if the average test scores are statistically the same. the instructor has confirmed that the samples were randomly selected and independent, and the populations have normal distribution and the population variances are equal.
The computation shows that the degree of freedom for the numerator is 2 while it's 67 for the denominator.
How to compute the value?It should be noted that degree of freedom is calculated as:
= k - 1
where k = variable in a data
k = 3.
Degree of freedom = 3 - 1 = 2
The degree of freedom for numerator is 2.
The degree of freedom for denominator is:
n - k
= 70 - 3
= 67
The degree of freedom for denominator is 67.
Note that the complete question is attached.
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Find a direct relationship between y and x.
x = t+1
y = t^2 - 2t
Write down the equations for the lines whose graphs are depicted below.
The equation for the lines whose graph is depicted below is y = x/2.
How to write the equations for the lines?In order to write the equations for these straight lines, we would have to determine the slope of the straight lines.
How to calculate the slope of a line?Mathematically, the slope of any straight line can be calculated by using this formula;
[tex]Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
From the graph (see attachment), we have the following data:
Points on x-axis = (0, 2).
Points on y-axis = (0, 1).
Substituting the given points into the formula, we have;
Slope, m = (1 - 0)/2 - 0)
Slope, m = 1/2.
Mathematically, the standard form of the equation of a straight line is given by;
y - y₁ = m(x - x₁)
At point (2, 1), we have:
y - 1 = 1/2(x - 2)
y - 1 = x/2 - 1
y = x/2 - 1 + 1
y = x/2.
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The price of a train ticket from Atlanta to Phoenix is normally $131.00. However, the train company is offering a special 70% discount to children under the age of 16. What is the sale price of a ticket from Atlanta to Phoenix for someone under the age of 16?
$91.70
$39.30
$222.70
$55.02
Answer:
$39.30
Step-by-step explanation:
First find out 70% which is $91.70
And then do 131-91.70=39.30
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This week felicia will practice with her band for 112 hours on monday,134 hours on tuesday, and 2 hours on wednesday. next week felicia will practice with her band for the same number of hours on monday, tuesday, and wednesday. what is the total number of hours felicia will practice with her band over these 6 days?
Felicia will practice for a total of 496 hours
How to calculate the total number of hours spent ?Felicia will practice for 112 hours on Monday
She will practice for 134 hours on Tuesday
She will practice for 2 hours on Wednesday
Total number of hours spent in week 1= 112 + 134 + 2
= 248 hours
She did the same routine the following week
= 248 × 2
= 496
Hence Felicia will practice for a total of 496 hours for the 6 days
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The circle graph shows the most important problems for
the 14,054,077 high school teenagers in a country..
Without using a calculator, estimate the number of high
school teenagers for whom doing well in school is the
most important problem.
Most Important Problems for High School Teenagers
Doing Wel in School, 12%
Social Pressures and Fitting in, 22%
Drugs, 22%
Others, 29%
Getting along with Parents. 2%
Geting into College, 2%
Sexual Issues, 2%
Crime and Violence in School, 9%
Doing well in school is the most important problem for approximately how many of the high school teenagers?
OA. 4,200,000
OB. 1,400,000
LOC. 2,800,000
OD. 5,600,000
According to the circle graph, doing well in school is a problem that affects B. 1,400,000 high school teenagers.
Which high school students are affected?The circle graph shows that 12% of high school students have the problem of doing well in school.
In actual numbers, this is:
= 12% x number of high school teenagers
Solving gives:
= 12% x 14,054,077
= 1,686,489 students
= 1,400,000 approximate
In conclusion, option B is correct.
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Can someone please help mee (20 points + brainliest!!!)
PLEASE SHOW WORK
----------------------------------------------
Answer:
Step-by-step explanation:
each 14 pound of potting soil contains 316 cups of water.how many cups of water are contained in 1 pound of potting soil?34 cups3 over 4, cups1116 cups1 and 1 over 16, cups112 cups1 and 1 half, cups113 cups
The number of cups of water contained in 1 pound of potting soil will be 3 / 4. The correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that each 14-pound of potting soil contains 3/6 cups of water. The number of the cups will be calculated by forming an expression below:-
Number of cups = (4 x 3/6)
Number of cups = 12/16
Number of cups = 3/4 of a cup
Therefore, the number of cups of water contained in 1 pound of potting soil will be 3 / 4. The correct option is A.
The correct question is given below:-
Each 14-pound of potting soil contains 316 cups of water.
How many cups of water are contained in 1 pound of potting soil?
34 cups
1116 cups
112 cups
113 cups
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A man if five times as old as his son. The sum of squares of their ages is 2106. How old is the son?
Answer: IS A
Step-by-step explanation: Correct option is A)
Let the age of the son be x
∴ The age of his father =5x
Given that
(5x)
2
+(x)
2
=2106
25x
2
+x
2
=2106
x
2
=
26
2106
=81
∴x=9
∴ Age of son =9 years
Age of father =5x9=45 years
You will get 1 thanks, 5 stars, and 15 points if you answer!
Answer:
It's C/ Option 3
Step-by-step explanation:
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