By comparing the given integer we come to know that 671,287 is greater than 617,827.
What is integer?
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
The given integer is
671,287 and 617,827
According to given question we have
If one number is significantly greater than another number, it may be difficult to compare the numbers effectively with a number line.
The number farthest to the right is the greater number.
So, 671,287 > 617,827.
Therefore, by comparing the given integer we come to know that 671,287 is greater than 617,827.
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What is the common difference in the sequence below? 9, 2, -5, -12, ......
Select one:
a. -5
b. -6
c. -8
d. -7
Answer:
-7
Step-by-step explanation:
a=9 a2=2 a3=-5 a4=-12
d = a4-a3 ,a3-a2, a2-a.
so:
d = -12-(-5) =-12+5 =-7
also;
d = -5-2 = -7
and
d= 2-9 =-7
so the common difference is -7
Answer:
-7
Step-by-step explanation:
We know that
Common difference = a2 - a1
=> 9 - 2
=> -7
Which could be a step used when solving the equation 5x + 10 = 7.5x
Answer:
x = 4
Move variables to the right and constants to the left. Then divide.
Step-by-step explanation:
5x + 10 = 7.5x (Given)
-2.5x = -10 (subtraction property of equality)
x = 4 (division property of equality)
Given a mean of 34 and a standard deviation of 5. Find the following z-scores.
The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.
To find the z-scores, we need to use the formula:
z = (x - μ) / σ
where:
z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.
Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:
z = (39 - 34) / 5
z = 5 / 5
z = 1
So, the z-score for the raw score of 39 is 1.For a raw score of 30:
z = (30 - 34) / 5
z = -4 / 5
z = -0.8
The z-score for the raw score of 30 is -0.8.
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Sally has 2 cats and each cat eats of a tin of cat food each day.
Sally buys 7 tins of cat food.
For how many days will the cat food feed her 2 cats?
You must show your working.
days=?
Answer:
Step-by-step explanation:
9 tins of cat food feed her 2 cats for 18 days
Step-by-step explanation:
Sally has 2 cats
food eaten by 1 cat each day =
food eaten by 2 cat each day= tins
sally buys 9 tins of cat food
then
tins required in = 1 day
1 tin required in
i.e 1 tin required in 2 days
9 tin required for = 9×2 = 18 days
hence , 9 tins of cat food feed her 2 cats for 18 days
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Sue has 2 cats. Each cat eats 1/4 tin of food each day. Sue buys 8 tine of cat food. Has sue got enough cat food to feed her 2 cats for 14 days?
A population of rare birds in town is currently listed at 2,000. It is declining at a rate of 2% per year. How many birds will be left after 20 years? Round your answer to the nearest whole number.
A. 1,335 birds
B. 1,980 birds
C. 2,972 birds
D. 23 birds
Option(A) is the correct answer is A. 1,335 birds.
To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.
We can use the formula for exponential decay:
N = N₀ * (1 - r/100)^t
Where:
N is the final number of birds after t years
N₀ is the initial number of birds (2,000 in this case)
r is the annual decline rate (2% or 0.02)
t is the number of years (20 in this case)
Plugging in the values, we get:
N = 2,000 * (1 - 0.02)^20
N = 2,000 * (0.98)^20
N ≈ 2,000 * 0.672749
N ≈ 1,345.498
Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.
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Which is the graph of r = 4 sine?
Answer:
you need to include a picture of all the graphs
give answers please!
Answer:
9.) -3
10.) -4
11.) -5
12.) -2
Step-by-step explanation:
1.) You need to plug in a number from the table into x on the equation
2.) Once you plug in the number divide that number by 3
3.) Once you divide it subtract by 3 from the number you got
4.) Then you get the solution and plug it into the table
Can someone help me I am stuck on this question it would mean the world if u helped me and tysm for the people who helped me! <3
Answer:
49 pieces
Step-by-step explanation:
1. convert 12.25m into cm (1225 cm)
2. divide 1225cm by 25 = 49
Y=12x
Do x and y vary directly ?
Answer:
Yes, they vary directly
Step-by-step explanation:
y=kx; k is the constant (12 in this case) and as x increases y increases, so they vary directly
Good afternoon! I have a survey for you guys to take. I would appreciate it if you do, because I use it for my schoolwork.
Knowing that the Bacon Cheeseburger meal is about 1000 calories and that you are supposed to consume between 2000 and 3000 calories per day, would you still eat Jack in the Box? Thank you beforehand!
1. I would eat there often
2. I would eat there sometimes
3. I would eat there rarely
4. I would not eat there ever
Answer:
Step-by-step explanation:
2, i would eat there sometimes!
Answer:
3. I would eat there rarely.
Step-by-step explanation:
Please give brainliest!!!
Steps to solve 5x +3 = 25x – 2
Answer: so you have to rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation. There are 3 possible answers x=1
x=6
x=0
I hope this helps if not I’m rlly sorry.
Find all points on the x-axis that are 6 units from the point (4,-3).
Answer:
IIUIOIOIO
Step-by-step explanation:
Lupe put $24000 in a certificate of deposit that gained interest at a rate of 5.5%. How much interest did the account gain after 3 months?
He gained $330 of interest in the three months.
Here we will use the Simple interest formula
Simple Interest (SI) = Simple Interest (SI)
initial principal balance = P = 24000
annual interest rate = r = 5.5
time (in years) = t = 3 months out of 1 year
= 3/12 = 1/4
Lets substitute the values in the formula
Simple Interest (SI) = (P × R × T)/100
= (24000 × 5.5 × 1/4)/100
= 330
What is simple interest?Simple interest is a quick and straightforward approach to figure out how much interest has accrued on a sum of money. Interest is always applied to the main sum, and there is a constant rate of interest applied during the course of the calculation.
Any bank where we deposit money pays us interest on the amount when we do so. There are other forms of interest charged by banks, but simple interest is one of them. To begin with, let's define a loan before delving further into the idea of simple interest.
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Gina wants to go to the water park with her friends. They have a total of www dollars to buy 555 tickets. Each ticket costs 151515 dollars. Select the equation that matches this situation. Choose 1 answer: Choose 1 answer: (Choice A) 5 = 15 \times w5=15×w5, equals, 15, times, w A 5 = 15 \times w5=15×w5, equals, 15, times, w (Choice B) w = 15 +5w=15+5w, equals, 15, plus, 5 B w = 15 +5w=15+5w, equals, 15, plus, 5 (Choice C) w = 5 \times 15w=5×15w, equals, 5, times, 15 C w = 5 \times 15w=5×15
The equation which correctly represents the given situation as required to be determined is; Choice C; w = 5 × 15.
Which equation correctly matches the given situation?It follows from the task content that the equation which correctly represents the Given situation is to be determined.
Since the intention is to buy 5 tickets in which case; each ticket costs 15 dollars; we have that;
Since the total amount of dollars they have is w dollars; The equation which holds true for the situation is; w = 5 × 15.
Consequently, answer choice C; w = 5 × 15 is correct.
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1 less then the quotent of a number n and 6
" the quotient " means divide
(n/6) - 1 <== ur expression
What is the rate of change in miles ran from September 6th to September 15th?
PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
What is the slope of the line y = -3x + 2? A. 2 2 B. -3 O C. -2 D. 3
Answer:
The slope of y=-3x+2 is B. -3
How can i fine 4.59 divided by 3 the long way
Check the picture below.
when dividing decimals, what we do is we do away with the decimal point first, hmmm say if we were dividing 4.59 by 17.354, first we look at 4.59, it has two decimals, so what we do is add two zeros, or "00" to 17.354, and since 17.354 has three decimals, we add three zeros to 4.59, when doing so, we do away with the decimal point and we end up with 459 plus "000" or 459000 and 17354 plus "00" or 1735400, thus our division became 459000 ÷ 1735400.
in this case, we're dividing 4.59 by 3, well, 3 has no decimals, however 4.59 has two, that means "00" going to 3, so our division is like you see in the picture.
Answer:
Step-by-step explanation:
A certain college had 3,000 students enrolled in
2015. The college predicts that after 2015, the
number of students enrolled each year will be 2%
less than the number of students enrolled the year
before. Which of the following functions models the
relationship between the number of students
enrolled, f (x), and the number of years after 2015,
x?
A. f(x) = 0.02x(3000)*
B. f(x) = 0.98x(3000)*
C. f(x) = 3000(0.02)*
D. f(x) = 3000(0.98)*
The function that models the relationship between the number of students enrolled, f(x) and the number of years after 2015, x, is D. f(x) = 3000(0.98)*.
What is a function?Mathematically, a function defines a mathematical relationship or an algebraic expression involving one variable (the independent variable) and another variable (the dependent variable).
There are four main types of mathematical functions, including:
Constant Function, example, the polynomial function of degree zero.Linear Function, for example, the polynomial function of degree one.Quadratic Function, for example, the polynomial function of degree two.Cubic Function, the polynomial function of degree three.The number of students enrolled in 2015 = 3,000
The annual decrease in students enrollment = 2%
Let f(x) the model modeling the relationship between the number of students enrolled and the number of years after 2015.
Let the number of years after 2015 = x.
Thus, the correction function is D. f(x) = 3000(0.98)*.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer:
B. 3188.5 cubic inches.
Step-by-step explanation:
The volume of a cone is calculated using the following formula:
Volume = (1/3) * π * r² * h
Where:
π is the mathematical constant pi, approximately equal to 3.14.r is the radius of the base of the cone.h is the height of the cone.In this problem, we are given that r = 17 inches and S.h = 20 inches.
First we need to find height h.
py using Pythagorous theorem,we get
c²=a²+b²
here c= slight height and a is radius
20²=17²+b²
20²-17²=b²
111=b²
b=√(111)
Plugging these values into the formula, we get:
Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches
Therefore, the volume of the cone is 3188.5 cubic inches.
Several batches of stew were made yesterday. Each batch required 1 and two-thirds pounds of meat. All together, 10 and StartFraction 5 over 6 EndFraction pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below.
10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds = StartFraction 65 over 6 EndFraction divided by five halves = StartFraction 65 over 6 EndFraction times StartFraction 2 over 5 EndFraction = StartFraction 130 over 30 EndFraction = 4 and one-third
When she checked the answer by estimating, it did not make sense. What error did Janice make?
Janice converted a mixed number to the wrong improper fraction.
Janice added the numerators and denominators instead of multiplying.
Janice did not change the division problem to multiplication.
Janice did not convert the improper fraction to a mixed number correctly in the answer.
Mark this and return
The error that Janice made is that she did not convert the improper fraction StartFraction 130 over 30 EndFraction to a mixed number correctly in her final answer.
The error that Janice made can be identified by analyzing her calculations. Let's examine each step she took:
Step 1: 10 and StartFraction 5 over 6 EndFraction divided by 1 and two-thirds
In this step, Janice correctly converted the mixed number to an improper fraction, which becomes 10 and StartFraction 5 over 6 EndFraction = StartFraction 65 over 6 EndFraction.
Step 2: StartFraction 65 over 6 EndFraction divided by five halves
In this step, Janice attempted to divide the fractions. However, she made an error by adding the numerators and denominators instead of multiplying. This is incorrect. The correct operation for dividing fractions is to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of five halves is two fifths.
Step 3: StartFraction 65 over 6 EndFraction times StartFraction 2 over 5 EndFraction
Here, Janice multiplied the fractions correctly. The product of these fractions is StartFraction 130 over 30 EndFraction.
Step 4: StartFraction 130 over 30 EndFraction = 4 and one-third
In this step, Janice attempted to convert the improper fraction to a mixed number. However, she made another error in her calculation. The fraction StartFraction 130 over 30 EndFraction is not equal to 4 and one-third. The correct conversion would yield 4 and two-sixths or 4 and one-third.
Therefore, the error that Janice made is that she did not convert the improper fraction StartFraction 130 over 30 EndFraction to a mixed number correctly in her final answer.
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3.6(5x4)divided 3+5.0=
Answer:
29 Hope this helps
Step-by-step explanation:
"Given expression is :
First we will simplify both numerator and denominator separately using order of operations. So....
Thus the expression.... "
-Sicista
The Bay Area Online Institute (BAOI) has set a guideline of 60 days for the time it should take to complete an independent study course. In analyzing the times taken to complete the course for 16 random students, BAOI found the average time it took to complete the course was 72 hours with a standard deviation of 20 hours. Consider the possible inferences BAOI can make about the time it takes to complete this course if they assume that the time it takes is normally distributed: i. At the 5% level, BAOI can infer that the average time to complete exceeds 60 hours. ii. At the 1% level, BAOI can infer that the average time to complete exceeds 60 hours. What is true about i. and it: O Only (l) is true O There is insufficient information to determine which of the other answers shown here is correct. O Neither (1) nor (ii) is true O Both (1) and (ii) are true O Only ) is true
As per the given standard deviation, only (i) is true.
The term standard deviation refers the measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Here have given that the Bay Area Online Institute (BAOI) has set a guideline of 60 days for the time it should take to complete an independent study course.
Here by analyzing the times taken to complete the course for 16 random students, BAOI found the average time it took to complete the course was 72 hours with a standard deviation of 20 hours.
So, let us consider the possible inferences BAOI can make about the time it takes to complete this course if they assume that the time it takes is normally distributed:
i. For the 5% level, BAOI can infer that the average time to complete exceeds 60 hours.
ii. For the 1% level, BAOI can infer that the average time to complete exceeds 60 hours.
Here we are trying to determine if they should spend at least 480 minutes a day studying.
Now, our knoll is that the mean is 480 and then we are looking for evidence that they are studying less than 480.
Here we don't know the population standard deviation so we're going to use a distribution.
In the given, critical values are going to be a distribution with degrees of freedom.
So, if we look at a chart 11 of freedom, we can see our critical value. I'm going to center to zero if I draw our T.
Therefore, the tail probability of.05 and the rest of it is.95%.
Based on these value we have conform that option (1) is correct.
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pls help me pls pls
Hope it helped
Thank YouThe table represents the function f(x).What is f(3)?X09-1f(x)-96-31-2.-1091O||F|323MarkthandumSave and ExitSub
In a group of 200 game lover students 120 like cricket and 105 like foot ball how many people like only one game
Answer:
225 student like only one game
PLS HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the solution to the equation given the replacement set?
25 - 3r = 10; {3, 4, 5, 6,}
Responses
3
4
5
6
Answer:
r = 5
Step-by-step explanation:
25 - 3r = 10 ( subtract 25 from both sides )
- 3r = - 15 ( divide both sides by - 3 )
r = 5
the solution from the replacement set is 5
HELPPPP WILL MARK BL!!!!!
The quadratic equation y = 4 · x² + 28 · x + 49 is an example of a perfect square trinomial.
There are two configurations for the dimensions of the rectangle:
Configuration 1: b = 6 · (x - 1 / 2), h = x + 4 / 3
Configuration 2: b = 6 · (x + 4 / 3), h = x - 1 / 2
Is a given quadratic equation a perfect square trinomial?
In this problem we find the quadratic equation y = 4 · x² + 28 · x + 49 and we need to check if the expression represent a perfect square trinomial. A quadratic equation is a perfect square trinomial if and only if the following formula is fulfilled:
a · x² + b · x + c = r₁² · x² + 2 · r₁ · r₂ · x + r₂² = (r₁ · x + r₂)²
That is,
r₁² = a
r₁² = 4
r₁ = 2
r₂² = c
r₂² = 49
r₂ = 7
2 · r₁ · r₂ = b
2 · 2 · 7
28
The quadratic equation y = 4 · x² + 28 · x + 49 is a perfect square trinomial.
Finally, we determine the dimensions of a rectangle whose area is the quadratic equation A = 6 · x² + 5 · x - 4. The area formula for a rectangle is described by the following formula:
A = b · h
Where:
b - Baseh - HeightThen, the factored form of the quadratic equation is:
A = 6 · x² + 5 · x - 4
A = 6 · [x² + (5 / 6) · x - 2 / 3]
A = 6 · (x - 1 / 2) · (x + 4 / 3)
There are two possible configurations for the rectangle:
Configuration 1: b = 6 · (x - 1 / 2), h = x + 4 / 3
Configuration 2: b = 6 · (x + 4 / 3), h = x - 1 / 2
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A cargo plane has a maximum take off weight of 910000 pounds which expression can be used to determine the maximum take off weight in tons?
Answer:
910,000 ÷ 2,000
Step-by-step explanation:
1 ton = 2000 pounds
therefor divide pounds by 2000 to get tons
910,000 ÷ 2,000