How do you write 112,300 in word form?
The number 112,300 written in word form is 'one hundred twelve thousand three hundred'.
Explanation:To write the number 112,300 in word form, you would write it as one hundred twelve thousand three hundred.
When writing numbers in word form, it's important to break them down into their place values and then use conjunctions such as 'and' where appropriate, typically between the hundreds and smaller units. In this case, there are no smaller units, so 'and' isn't used. Instead, we clearly express each place value starting from the highest, which is the hundred thousands, followed by the thousands, then hundreds, tens, and ones, though here the tens and ones places are zero and do not need to be included in the word form.
Which of the following is a polynomial with roots 4,6, and -7?
Answer:
P(x)= x³ - 3 x² - 46 x +168
Step-by-step explanation:
given roots of the polynomial are given as (4,6, -7)
hence the polynomial will be equal to
P(x) = (x-4) (x-6) (x+7)
P(x) = (x-4) (x²+7 x -6 x -42)
P(x) = (x-4) (x²+x -42)
P(x) = x³ + x²-42 x -4 x² -4 x +168
P(x) = x³ - 3 x² - 46 x +168
hence, the required polynomial is P(x) = x³ - 3 x² - 46 x +168
What is the reference angle for 7pi/6
how do you write 8.2 in mixed number
a rectangle has a width that is 7 centimeters less than its length, and it's area is 330 square centimeters. what are the dimensions?
length = _____ centimeters
width = _____ centimeters
Answer:
A rectangle has a width that is 7 centimeters less than its length, and its area is 330 square centimeters. What are the dimensions of the rectangle?
length =
22
centimeters
width =
15
centimeters
1. Solve for x. Show your work.
2x-1/2=3-x
The quotient of a number and - 2/3 is -9/10.
What is the number?
1 7/10
3/5
20/27
29/30
Answer:
3/5
Step-by-step explanation:
i am doing the same thing right now and got it right
what is 23 over 18 in simplest form
Which number is a solution of the inequality?
y>1.9
(A) -9
(B) -2
(C) 2
(D) 1.9
The correct option is option C that is the solution of the inequality is 2.
What are inequalities ?
When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.
It is given that an inequality is given y > 1.9. Here , y is a number which can be anything greater than 1.9.
Let's check which of the given options is a solution for the given inequality.
A)
-9 is a negative number whereas 1.9 is a positive number , so - 9 is not a solution to given inequality.
B)
-2 is also less than 1.9 , so this also not a solution to given inequality.
C)
2 is greater than 1.9 and it is a suitable solution to the given inequality. So , 2 is a solution of given inequality.
D)
As per the question value of y should be greater than 1.9 and not equal to 1.9 . So , this is also not a solution to given inequality.
Therefore , the correct option is option C that is the solution of the inequality is 2.
Learn more about inequalities here :
brainly.com/question/25275758
#SPJ2
Suppose you have $100 in a savings account earning 2 percent interest a year. After five years, would you have more than $102, exactly $102 or less than $102?
Suppose a car manufacturer believes its windscreen wipers will last on average for three years on their cars if driven by a typical driver in the province. Moreover, the manufacturer believes the lifetime of the wipers under such conditions is Normally distributed with a standard deviation of two years. Find the probability that, if on a car driven by a typical driver, a windscreen wiper lasts for a time that is not within 1.7 years of the mean lifetime.
The probability is:?
To calculate the probability that a windscreen wiper lasts for a time not within 1.7 years of the mean, one must find the corresponding z-scores and use a standard normal distribution table. The probability is approximately 39.58%.
Explanation:To find the probability that a windscreen wiper lasts for a time that is not within 1.7 years of the mean lifetime of three years, we can use the properties of the normal distribution. We are given a mean (μ) of 3 years and a standard deviation (σ) of 2 years. We are interested in the probability that a wiper lasts less than 1.3 years (3 - 1.7) or more than 4.7 years (3 + 1.7).
First, we need to calculate the z-scores for 1.3 and 4.7 years:
Z1 = (1.3 - 3) / 2 = -0.85
Z2 = (4.7 - 3) / 2 = 0.85
Using a standard normal distribution table or a calculator, we find the probabilities corresponding to these z-scores. The probability of a wiper lasting less than 1.3 years is P(Z < -0.85), and the probability of lasting more than 4.7 years is P(Z > 0.85).
Since the normal distribution is symmetric, P(Z < -0.85) is equal to P(Z > 0.85). Thus, we only need to calculate one of these probabilities and double it to find the total probability. Let's say P(Z > 0.85) = p, then the total probability is 2p.
Assuming P(Z > 0.85) = 0.1979 (from standard normal distribution tables), the total probability is:
Probability = 2 * 0.1979 = 0.3958
Therefore, the probability that a windscreen wiper lasts for a time not within 1.7 years of the mean lifetime is approximately 0.3958 or 39.58%.
Final answer:
By standardizing the values and using a standard normal distribution table, we can find the probability to be approximately 0.7422 or 74.22%.
Explanation:
To solve this problem, we can use the normal distribution. Given that the mean lifetime of the windscreen wipers is 3 years with a standard deviation of 2 years, we want to find the probability that the wiper lasts for a time that is not within 1.7 years of the mean lifetime.
First, we need to standardize the values by calculating the z-scores.
The z-score formula is (x - mean) / standard deviation. In this case, we have x = 1.7, mean = 3, and standard deviation = 2.
Plugging in these values, we get a z-score of -0.65.
Using a standard normal distribution table or calculator, we can find the probability corresponding to a z-score of -0.65.
The area under the curve to the left of -0.65 is approximately 0.2578. Since we want the probability that the wiper lasts for a time that is not within 1.7 years of the mean, we subtract this probability from 1.
Therefore, the probability is approximately 1 - 0.2578 = 0.7422, or 74.22%.
If a die is rolled 1 time find the probability of getting a number less than 6
Joey had $254 to spend at the video games store. He was able to buy 9 video games and had $29 left. How much did each game cost?
24 is what percent of 32?
write the proportion too please! ...?
Simplify the expression.
4 × 22 + 4 ÷ 4 - (1 + 4)
A. 12
B. 22
C. 20
D. 15
sylvie finds the solution by graphing y=2/3x+1 and y=-2/3x-1
which graph shows the solution to sylvies system of equations?
we have
[tex] y=\frac{2}{3} x+1 [/tex] ----------> equation [tex] 1 [/tex]
[tex] y=-\frac{2}{3} x-1 [/tex] ----------> equation [tex] 2 [/tex]
using a graph tool
we know that
the intersection point of both lines is the solution of the system
so
the solution is the point [tex] (-1.5,0) [/tex]
see the attached figure
therefore
the answer is
The solution of the system is the point [tex] (-1.5,0) [/tex]
The graph in the attached figure
In quadrilateral ABCD, diagonals AC and BD bisect one another:
What statement is used to prove that quadrilateral ABCD is a parallelogram?
Angles ABC and BCD are congruent.
Sides AB and BC are congruent.
Triangles BPA and DPC are congruent.
Triangles BCP and CDP are congruent.
Answer:
(C) Triangles BPA and DPC are congruent.
Step-by-step explanation:
It is given that In quadrilateral ABCD, diagonals AC and BD bisect one another.
We have to prove that quadrilateral ABCD is a parallelogram.
(A) The given statement is:
Angles ABC and BCD are congruent
The above statement is not correct because these angles forms the corresponding angle pair and thus are not congruent.
Hence, this option is not correct.
(B) The given statement is:
Sides AB and BC are congruent.
The above statement is not correct because the given sides are formed by the same vertex and thus cannot be equal.
Hence, this option is not correct.
(C) The given statement is:
Triangles BPA and DPC are congruent.
The above statement is correct because the given triangles are congruent by the SAS rule of congruency.
Hence, this option is correct.
(D) The given statement is:
Triangles BCP and CDP are congruent.
the above statement is not correct because the given triangles cannot be congruent using any rule of congruency,
Hence, this option is not correct.
Check answer please, will upvote!
Evaluate the function rule for the given value.
y = 4 • 2x for x = –6
Is it -48?
Hey there!
[tex]\bold{y=4\bullet2x;x=-6}[/tex]If we found the value of "[tex]\bold{x}[/tex]" then plug it into the equation[tex]\bold{y=4\times2(-6)}[/tex][tex]\bold{2\times(-6)=-12}[/tex][tex]\bold{4\times-12=-48}[/tex][tex]\bold{-48=-48}[/tex] [tex]\checkmark[/tex][tex]\boxed{\boxed{\bold{Answer:Yes}}}[/tex]Good luck on your assignment and enjoy your day!
~[tex]\frak{LoveYourselfFirst:)}[/tex]
How do you write 1/5 as a percentage and a decimal?
Prove the trigonometric identity:
(csc^2x)/(cotx)=cscxsecx ...?
ind the z score that best satisfies the condition. 20%of the total area is to the left of z
To find the z-score that satisfies the condition of 20% of the total area being to the left of z, use the z-table to locate the closest area to 0.20 and its corresponding z-score.
Explanation:To find the z-score that satisfies the condition of 20% of the total area being to the left of z, you can use the z-table. First, locate the area in the table that is closest to 0.20, which is 0.1995.
The corresponding z-score is approximately -0.85.
Therefore, the z-score that best satisfies the condition is -0.85.
In fishery science, a cohort is the collection of fish that results from one annual reproduction. It is
usually assumed that the number of fish N( t ) still alive after t years is given by an exponential function. For Pacific halibut,N( t ) = N0e ^-0.2t , where N o is the initial size of the cohort.
Approximate the percentage of the original number still alive after 7 years. Round to one decimal place, if necessary.
please show the steps
Using the exponential decay function for Pacific halibut, it is calculated that approximately 24.7% of the original cohort is still alive after 7 years.
Explanation:To approximate the percentage of the original number of Pacific halibut still alive after 7 years, we use the exponential decay model provided, N(t) = N0e^-0.2t. Plugging in t = 7 years into the equation gives us:
N(7) = N0e^-0.2(7) = N0e^-1.4.
To find this percentage, we can multiply the value of e^-1.4 by 100%. First, we calculate e^-1.4 approximately using a calculator:
e^-1.4 ≈ 0.24660
Multiplying by 100 to get the percentage: 0.24660 × 100% ≈ 24.7%.
Therefore, approximately 24.7% of the original Pacific halibut cohort is still alive after 7 years.
What is the greatest common factor of 32 and 36?
What did the sea monster say after eating 27 ships carrying potatoes?
Determine whether the sequence:
ln(2n^2 +1) - ln(n^2 +1)
converges or diverges. If the sequence converges, find the limit.
Final answer:
The sequence ln(2n² +1) - ln(n² +1) simplifies to ln[(2n² + 1)/(n² + 1)]. As n approaches infinity, the sequence converges and the limit is ln(2).
Explanation:
To determine whether the sequence ln(2n² +1) - ln(n² +1) converges or diverges, we can use the properties of logarithms and limits.
First, we rewrite the expression using the property of logarithms that ln(a) - ln(b) = ln(a/b).
Our sequence then becomes ln[(2n² + 1)/(n² + 1)]
As n approaches infinity, the terms 2n² and n² dominate the behavior of the sequence.
Thus, the sequence can be approximated by ln(2n²/n²), which simplifies to ln(2).
Since ln(2) is a constant, we can conclude that the sequence converges and the limit is ln(2).
3 times the sum of k and d
Answer:
[tex]3(k+d)[/tex]
Step-by-step explanation:
We have been given a sentence. We are supposed to represent our given statement as an expression.
Sentence:
3 times the sum of k and d.
We know that we can find sum of k and d by adding them as shown:
[tex]k+d[/tex]
Since 3 is multiplied to sum of k and d, so sum of k and d will be inside parenthesis.
[tex]3(k+d)[/tex]
Therefore, our required algebraic expression would be [tex]3(k+d)[/tex].
Which equation can be simplified to find the inverse of y = x2 – 7?
a: x=y ^ 2 - 1/7
b: 1/x = y^2 - 7
c: x = y^2 – 7
d: –x = y^2 – 7
Answer:
C- x=y^2-7
Step-by-step explanation:
To find the inverse of the function you can just exchange the name of the variables, change x for y and y for x..
original (direct) function: y = x^2 - 7
inverse function x = y^2 - 7
Then, the answer is the option c.
lim h--> 0
(sin (pi/6+h) - sin pi/6)/ h ...?
The limit does not exist for this expression.
To evaluate the limit as h approaches 0 of (sin(pi/6 + h) - sin(pi/6))/h, we can use the limit definition of the derivative of sin(x).
The derivative of sin(x) is cos(x), so we can rewrite the expression as:
lim h->0 (cos(pi/6 + h) - cos(pi/6))/h
Now, we can use the limit definition of the derivative to evaluate this limit. The derivative of cos(x) is -sin(x), so we have:
lim h->0 (-sin(pi/6 + h))/h
Now, let's substitute h = 0 into the expression:
(-sin(pi/6 + 0))/0
Since sin(pi/6) = 1/2, we have:
(-1/2)/0
However, division by zero is undefined. Therefore, the limit does not exist for this expression.
An unconditional acceptance into a graduate program at a university will be given to students whose GMAT score plus 400 times the undergraduate grade point average is at least 1800. Robbin's GMAT score was 800. What must her grade point average be in order to be unconditionally accepted into the program?
Robbin needs a GPA of at least 2.5 to be unconditionally accepted into the graduate program.
To determine the undergraduate grade point average (GPA) Robbin must have to be unconditionally accepted into the program, we can set up an equation based on the information given. The criterion for acceptance is that the GMAT score plus 400 times the GPA must be at least 1800. Robbin's GMAT score is 800, so we can use the following equation:
800 + 400(GPA) ≥ 1800
We can then isolate the GPA:
400(GPA) ≥ 1800 - 800
400(GPA) ≥ 1000
GPA ≥ 1000 / 400
GPA ≥ 2.5
Benton has an extension ladder than can only be used at a length of 10 feet, 15 feet, or 20 feet. He places the base of the ladder 6 feet from the wall and needs the top of the ladder to reach 8 feet.
Which ladder length would Benton need to use to reach this height on the wall?
A. 10 feet
B. 15 feet
C. None of these ladder lengths would reach this height.
Final answer:
To reach a height of 8 feet on the wall, Benton would need to use a ladder length of approximately 4.8 feet.
Explanation:
To determine which ladder length Benton would need to use to reach the desired height of 8 feet on the wall, we can use the concept of similar triangles. The distance from the base of the ladder to the wall is 6 feet and the height Benton wants to reach on the wall is 8 feet. Let x represent the length of the ladder needed. Using the properties of similar triangles, we can set up the following proportion:
(x)/(6) = (8)/(10)
Cross multiplying gives us:
x = (6 * 8) / 10 = 4.8
Therefore, Benton would need to use a ladder length of approximately 4.8 feet to reach a height of 8 feet on the wall. Since this length is not among the options provided, the correct answer is C. None of these ladder lengths would reach this height.