Answer:
3+4+6*2=26
Step-by-step explanation:
hope this helps!
Write 4x2 + 16x - 9 in vertex form. Write 5x2 - 10x + 4 in vertex form.
Hi king,
Write \(4x^{2} + 16x - 9\) in vertex form:
f(x)=\(4x^{2} + 16x - 9\)
f(x)=\(4(x+2)^{2} -25\)
Write \(5x^{2} - 10x + 4\) in vertex form:
g(x)=\(5x^{2} - 10x + 4\)
g(x)=\(5(x-1)^{2} -1\)
Have a great day.
Frank has $8000 that he plans to split into two investments. He wrote the following two equations to represent the interests he will earn from each of the two investment options.
Answer:
I still think you equations are wrong...
4000/4000 not 400/400
Step-by-step explanation:
2000 A+ 6000B=520
4000A+4000B =480
~~~~~~~~~~~~~~~~~~~~~
2000 A+ 6000B=520
-2000A - 2000B =-240
4000B = 280
B=7%
A=5%
Express 12 000 iin standard form?
Answer:
the answer will be
1.2x10⁴
hope it helps
Answer:
We have been provided the number, 3430000. Therefore, the standard form is, 3430000=3.43×106, here, we have moved 6 places to the left. Hence, the standard form of 3430000 is 3.43×106. Note: It is important to note that the standard form of representing numbers is also called scientific form or standard index form.
You are asked to determine the perimeter of the cover of your textbook. You measure the length as 36.71 cm and the width as 24.83 cm. How many significant figures should you report for the perimeter
The perimeter of the textbook cover should be reported as 123.1 cm, using four significant figures.
When calculating the perimeter of the textbook cover, it is important to consider the number of significant figures in the measurements. The general rule is that the result of a calculation should have the same number of significant figures as the least precise measurement used in the calculation.
In this case, the length of the textbook cover is given as 36.71 cm with four significant figures, while the width is given as 24.83 cm with four significant figures as well. When calculating the perimeter, you add the lengths of all four sides of the rectangle.
Perimeter = 2(length + width) = 2(36.71 cm + 24.83 cm)
To maintain the same level of precision as the least precise measurement, we need to consider the width, which has four significant figures. Thus, the result should be reported with four significant figures.
Perimeter = 2(36.71 cm + 24.83 cm) = 2(61.54 cm) = 123.08 cm
Therefore, the perimeter of the textbook cover should be reported as 123.1 cm, using four significant figures.
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Is these correct bro
Answer:
yes
Step-by-step explanation:
if my eyes are good then yes
y + 5 equals 3/4 (x + 4) which graph matches the equation
Answer:
i have no idea what the answer is
Step-by-step explanation:
graph the circle (x-3)^2+(y+3)^2=36
The center of the circle is (3,-3) and the radius is 6 , the graph is drawn below .
In the question ,
the equation of the circle is given as
(x-3)²+(y+3)² = 36 ,
we know that the general equation of the circle is
(x - h)² + (y - k)² = r²
where , the center is (h,k) and the radius is r .
So , on comparing the given equation with general equation of the circle , we get
h = 3 and k = -3
and r² = 36
So, r = 6 .
the center is (h,k) = (3,-3)
and the radius is 6 .
the graph of the circle (x-3)²+(y+3)² = 36 is shown below .
Therefore , The center of the circle is (3,-3) and the radius is 6 .
The given question is incomplete , the complete question is
Graph the circle (x-3)²+(y+3)² = 36 and find the radius and center of the circle ?
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NEED HELP LOL... What is the square root of -1?
Step-by-step explanation:
The square root of -1 is defined as i
\( \sqrt{ - 1} = i\)
Answer:
Step-by-step explanation:
The square root of -1 is undefined and has no solutions.
Its i
40 POINTS
1 out of 2
Suppose a city with population 500,000 has been growing at a rate of 3% per year. If this rate continues, find the population of the city in 12 years (round to the nearest whole)m
The numbers of employees for a certain company has been decreasing each year by 5%. If the company currently has 640 employees and this rate continues, find the number of employees in 10 years(round to the nearest whole)
Using exponential function, the number of employees in the company in 10 years will be approximately 335
What is the population of the city in 12 yearsFor the population of the city:
We can use the formula for exponential growth to calculate the population in 12 years:
P = Po * (1 + r/100)^t
where Po is the initial population, r is the annual growth rate, and t is the time in years.
Plugging in the values given, we have:
P = 500,000 * (1 + 3/100)^12 ≈ 707,815
Therefore, the population of the city in 12 years will be approximately 707,815 (rounded to the nearest whole).
For the number of employees in the company:
We can use the formula for exponential decay to calculate the number of employees in 10 years:
N = No * (1 - r/100)^t
where No is the initial number of employees, r is the annual decay rate, and t is the time in years.
Plugging in the values given, we have:
N = 640 * (1 - 5/100)^10 ≈ 335
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PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!
If a projectile is launched vertically upward from 800 ft above the ground with an initial velocity of 80 ft per second, its height in feet t seconds after launch is given by s=−16t2+80t+800
.
The projectile will take _____ seconds to return to the ground.
After _______ seconds, the projectile will be 576 feet above the ground.
Hello!
10 seconds to return to the ground.
7 seconds to reach 576 feet above the ground.
Find the amount of time taken to reach the ground by setting the equation equal to 0:
0 = -16t² + 80t + 800
Factor out -16 from the equation:
0 = -16(t² - 5t - 50)
Factor the terms inside of the parenthesis:
0 = -16(t - 10)(t + 5)
Find the zeros:
t - 10 = 0
t = 10
t + 5 = 0
t = -5
Time can only be positive in this instance, so the correct answer is 10 sec.
Find the time by substituting in 576 for the height:
576 = -16t² + 80t + 800
Subtract 800 from both sides:
-224 = -16t² + 80t
Rearrange:
0 = -16t² + 80t + 224
Simplify:
0 = -16(t² - 5t - 14)
0 = -16(t - 7)(t + 2)
t = 7 seconds.
Simplify the expression below.
6(23x–5)−7x−8
Answer:
131x-22
Step-by-step explanation:
6(23x-5)-7x-8
138x-30-7x-8
138x-7x-30-8
131x-22
hope dis helps!!!!
Translate each of these nested quantifications into an English statement that expresses a mathematical fact. The domain in each case consists of all real numbers. a)∃x∀y(x + y = y) b)∀x∀y(((x ≥ 0) ∧ (y < 0)) → (x − y > 0)) c)∃x∃y(((x ≤ 0) ∧ (y ≤ 0)) ∧ (x − y > 0)) d)∀x∀y((x ≠0) ∧ (y ≠0) â†"" (xy ≠0))
a) ∀x ∃y(x + y = y) Translation: "For every real number x, there exists a real number y such that when x is added to y, the result is equal to y."
b) ∀x ∀y(((x ≥ 0) ∧ (y < 0)) → (x - y > 0)) Translation: "For every pair of real numbers x and y, if x is greater than or equal to 0 and y is less than 0, then the difference between x and y is greater than 0."
c) ∃x ∃y(((x ≤ 0) ∧ (y ≤ 0)) ∧ (x - y > 0)) Translation: "There exist real numbers x and y such that x is less than or equal to 0, y is less than or equal to 0, and the difference between x and y is greater than 0."
d) ∀x ∀y((x ≠ 0) ∧ (y ≠ 0) → (xy ≠ 0)) Translation: "For all real numbers x and y, if x is not equal to 0 and y is not equal to 0, then the product of x and y is not equal to 0."
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NEED HELP ASAPPP PLZ JUST NEED THE ANSWER NOT THE WORK THANK YOU.
Answer:
C. 2^8 • 2^(2/10) • 2^(4/100)
18 ft is equal to how many yards?
18 ft is equal to 6 yards. A yard is one linear yards. "Yd" is the yard symbol. It is equivalent to three feet or 36 inches.
The majority of cloth is now sold by the linear yard. A linear yard is 36" long, with a width that varies depending on the cloth roll. Only the length of the material is considered when measuring in linear yards. To calculate square yards, multiply the length and width in yards. In a yard, there are 36 inches. The length of a yard of fabric is 36 inches. Calculating the amount of fabric required for a sewing job is a little more difficult than that, though. A yard of fabric is always one yard long, however the breadth varies depending on where you get it. Between 33 and 44 inches are the typical widths.
Add the conversion factor "0.33333333333278" to the number in feet.
So, 18 feet
= 18 × 0.33333333333278
= 5.99999999999 yards.
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4 - dictado audio you will hear a conversation. Listen carefully and write what you hear during the pauses. The entire conversation will then be repeated so you can check your work
According to the conversation we can infer that the information focused on the conversation of two people; one of them is studing for an exam.
What is the conversation about?To identify what is the conversation about we have to consider who is talking and what are the ideas that they share. In this case, we can infer that the main idea of this conversation is that one of them is studying for an exam this week.
Also, the second person is apologizing because he considered that he is distracting the other person. So, the correc information about de conversation is a short conversation about study.
Note: This question is incomplete. Here is the complete information:
Conversation:
Hello
Hello, How are you?
I am fine, and you?
i am fine too, What are you doing?
I am studing for an exam this week.
Oh, sorry I won´t distract you.
Don´t worry.
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Find the indicated term of the arithmetic sequence with the given description.
The 100th term is - 1240, and the common difference is -25. Find the fifth term.
as = ?
The fifth term of the arithmetic sequence is -1190.
How to find the arithmetic sequence?An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:
aₙ = a₁ + (n - 1) * d
where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.
Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.
Since the fifth term corresponds to n = 5, we can calculate:
a₅ = -1240 + (5 - 1) * (-25)
= -1240 + 4 * (-25)
= -1240 - 100
= -1340
Therefore, the fifth term of the arithmetic sequence is -1190.
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What is the value of the expression 3 x 5 + 32 ?
I just need to know if I put the answer or the expression
Answer:
3x³+32
Heart if it helped
Answer:
u just simplify the expression
the answer is 50
Step-by-step explanation:
Complete the following statements. In general, ¬¬¬____ % of the values in a data set lie at or below the 78th percentile._____ % of the values in a data set lie at or above the 52th percentile..If a sample consists of 600 test scores, ___ of them would be at or below the 68th percentile. If a sample consists of 600 test scores, ____ of them would be at or above the 6th percentile.
In general, approximately 78% of the values in a data set lie at or below the 78th percentile. Approximately 48% of the values in a data set lie at or above the 52nd percentile. If a sample consists of 600 test scores, approximately 68% of them would be at or below the 68th percentile. If a sample consists of 600 test scores, approximately 6% of them would be at or above the 6th percentile.
Percentiles are used to divide a dataset into equal parts based on the values. The nth percentile represents the value below which n% of the data falls.
In the first statement, we can say that approximately 78% of the values in a data set lie at or below the 78th percentile. This means that if we arrange the data in ascending order, the 78th percentile will be the value below which 78% of the data falls.
In the second statement, we can say that approximately 48% of the values in a data set lie at or above the 52nd percentile. This means that if we arrange the data in ascending order, the 52nd percentile will be the value above which 48% of the data falls.
For the third and fourth statements, we can apply the same concept. If a sample consists of 600 test scores, approximately 68% of them would be at or below the 68th percentile. This means that if we arrange the 600 test scores in ascending order, the 68th percentile will be the score below which 68% of the scores fall.
Similarly, if a sample consists of 600 test scores, approximately 6% of them would be at or above the 6th percentile. This means that if we arrange the 600 test scores in ascending order, the 6th percentile will be the score above which 6% of the scores fall.
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Let Fn(x) = 2" (2-1) where 0 < x < 1. Show that F(x) < x, given 0
Using mathematical induction, it can be proven that for any positive integer n and 0 < x < 1, the expression F(x) = 2^(n-1) (2-1) is always smaller than x.
To prove that F(x) < x for 0 < x < 1, we can analyze the behavior of the function F(n, x) = 2^(n-1) (2-1), where n is the number of repetitions and x is a fixed value between 0 and 1.
Let's consider the base case, F(1, x) = 2^(1-1) (2-1) = 1, which is less than x.
Now, let's assume that F(k, x) < x for some positive integer k. We can then evaluate F(k+1, x) as F(k+1, x) = 2^k (2-1) = 2^k. Since x is between 0 and 1, it follows that x * 2^k < x, as multiplying x by any positive number less than 1 decreases its value.
Therefore, based on the assumption that F(k, x) < x, we have shown that F(k+1, x) = 2^k < x. By induction, we can conclude that F(n, x) < x for all positive integers n.
Hence, we have demonstrated that F(x) < x for 0 < x < 1.
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no links will mark BRAINLIEST
Answer:
1 = natural numbers
2 = 1
3 = 0
4 = -7/5
5 = NO
6 = 1 and -1
7 = 1/5
8 = x
what is the range of Dan’s car? It’s highway EPA rating is 40mpg and the tank holds 12 gallons
The range at which Dan's car can go is 3.33 miles
What is range of a car?A car's range is the distance it can travel with the current amount of fuel in the tank.
The vehicle calculates the range based on the amount of fuel, how the accelerator and brakes are used, and how quickly the car is travelling.
The range of a car can be measured in the unit of distance.
Therefore the range of a car can be calculated as;
R = distance per gallon/ number of gallon.
Dan's car is 40mpg and has 12 gallons in it's tank.
Therefore it's range = 40/12
= 3.33miles.
therefore the range of Dan's car is 3.33miles
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The ratio of boys to girls in a class is 3 to 5. There are 35 boys in the class. what is the total number of students
b bananas cost $1.45csnd a apples cost $2.35 how much does one banana cost
Answer:
$1.45?
Step-by-step explanation:
You never said a bag of bananas cost $1.45 you said "b bananas cost $1.45". So I'm assuming the b part was a typo and the s on bananas .
Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. What is the probability that an endure all battery selected at random will last more than 550 hours?.
Based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.
What are z-scores?How closely a value relates to the mean of a set of values is expressed by a Z-score.
The Z-score is created using standard deviations from the mean.
A data point's total value is equal to the mean value when the Z-score of the data point is equal to 0.
So, in order to determine how far the raw score deviates from the mean, the Z score is used.
The following steps are used to determine the Z score:
z = (x - μ)/σ
We know that: x > 550 and μ = 500, σ = 40
z = 550 - 500 / 40
z = 1.25
The graph of the normal distribution indicates:
P(z > 1.25) = 1 - P(z < 1.25)
P(z > 1.25) = 1 - 0.8944
P(z > 1.25) = 0.1056
Therefore, based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.
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Fueleconomy gov gives the city and highway fuel economy for all makes and models of vehicles back to 1984. The table gives the city and highway fuel economy for a random sample of ten 2021 vehicles
a - Calculate the equation of the least squares regression line
b- What is the correlation coefficient
a) The equation of the least squares regression line is of: y = 1.26435x + 6.08367.
b) The correlation coefficient of the data is of: r = 0.9172.
How to obtain the linear regression equation?The linear regression equation is obtained inserting the points of the data-set into a linear regression calculator.
From the table given by the image at the end of the answer, the points are given as follows:
(14.4, 25.5), (24.3, 37.4), (27.2, 36.5), (29.9, 45.5), (20.4, 28.7), (28.8, 46.1), (20.9, 33.6), (23.2, 38.3), (28.6, 41.3), (25.4, 35.3).
Inserting these points into a calculator, the linear regression equation, also called least squares regression line, is given as follows:
y = 1.26435x + 6.08367
What is the correlation coefficient?The same points used to obtain the least squares regression line are inserted into a correlation coefficient calculator, and the numeric value of the coefficient is given as follows:
r = 0.9172.
Missing InformationThe table is given by the image presented at the end of the answer.
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one bar of candy a and two bars of candy b have 779 calories. two bars of candy a and one bar of candy b contain 793 calories. find the caloric content of each candy bar.
The caloric content in candy A is 269 and that of candy B is 255.
The caloric content is the quantity of energy required to increase the temperature of one liter of water by one degree. A calorimeter was initially used to determine a food's calorie count.
Let us consider:
Caloric content of Candy A = x
Caloric content of Candy B = y
We can thereby make two equations:
Eqn 1: 1x + 2y = 779
Eqn 2: 2x + 1y = 793
By elimination method, we have
2x + 4y = 1558
Solving for x by subtracting with Eqn 2, we have,
3y = 765
y = 765 ÷ 3
y = 255.
Now substituting the value of y in Eqn 2, we have:
2x + 1y = 793
2x + 1 × 255 = 793
2x + 255 = 793
2x = 793 - 255
2x = 538
x = 538 ÷ 2
x = 269.
Hence caloric content in candy A is 269 and that of candy B is 255.
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What is the remainder if f(x) = x4 – 5x2 - 6x - 10 is divided by x - 3?
Answer:-46
Step-by-step explanation: just took test
The remainder when f(x) is divided by (x - 3) is 8 and this can be determined by using the factorization method.
Given :
\(\rm f(x) = x^4-5x^2-6x-10\)
The following steps can be used in order to determine the remainder if f(x) is divided by (x - 3):
Step 1 - Write the mathematical expression of the statement "f(x) is divided by (x - 3)".
\(=\dfrac{x^4-5x^2-6x-10}{x-3}\)
Step 2 - Now, try to factorize the numerator in the above expression.
\(=\dfrac{x^4-3x^3+3x^3-9x^2+4x^2-12x+6x-18+18-10}{x-3}\)
Step 3 - Further simplify the above expression.
\(=\dfrac{x^3(x-3)+3x^2(x-3)+4x(x-3)+6(x-3)+8}{x-3}\)
\(=(x^3+3x^2+4x+6) +\dfrac{8}{x-3}\)
So, the remainder when f(x) is divided by (x - 3) is 8.
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Please help. Will mark brainliest!!!
Five friends went to an amusement park. The cost of admission per person is x dollars. Three friends paid $30 each for a front-of-line pass. The group had a $20 coupon off the total price. Circle all of the expressions that represent the total cost.
5x + 30 – 20.
3(30) + 2x – 20.
5(x + 30) – 20.
5x + 70
2x + 70.
3(x + 30) + 2x – 20.
3(x + 30 – 20) + 2x.
5x + 10
3(x + 10) + 2x.
3x + 30 + 2x – 20.
3x + 90 + 2x – 20
5x + 30
In a recent experiment conducted by the Department of Energy, light bulbs were tested to measure how long they lasted. Each company submitted 20 light bulbs, which were turned on and left on until they burned out. Here were the results:
-All 20 "Super Bright" light bulbs burned out after exactly 1,500 hours.
-The first "Delightful Bright" light bulb burned out after 1,200 hours, and one additional bulb burned out every 50 hours until they were all burned out.
-One of the "Pretty Bright" light bulbs burned out after just 16 hours. The other 19 bulbs lasted between 1,900 and 2,000 hours.
Which of the following is true?
Choose all answers that apply:
A. Super Bright and Pretty Bright light bulbs cannot possibly have the same mean light bulb life.
B. The interquartile range of light bulb life for Delightful Bright is greater than the interquartile range for Pretty Bright.
C. The distribution of Delightful Bright light bulb life is skewed right.
D. Super Bright light bulbs have the smallest standard deviation for light bulb life among the three types of bulbs.
The correct options regarding the distributions are given as follows:
A. Super Bright and Pretty Bright light bulbs cannot possibly have the same mean light bulb life.
B. The interquartile range of light bulb life for Delightful Bright is greater than the interquartile range for Pretty Bright.
D. Super Bright light bulbs have the smallest standard deviation for light bulb life among the three types of bulbs.
MeanThe mean of a distribution is given by the sum of all observations divided by the number of observations.
For the Super Bright light builds, the mean is given as follows:
Ms = 20 x 1500/20 = 1,500 hours.
For the Pretty Bright lights, the minimum mean is given as follows:
Mp = (16 + 19 x 1900)/20 = 1,805.8 hours
This mean is greater than 1,5000 hours, hence option A is correct.
Interquartile rangeThe interquartile range (IQR) of a distribution is given by the difference between the third quartile and the first quartile of a distribution.
For each distribution, the IQR is given as follows:
Super Bright: 0. (all at 1500).Delightful Bright: 500. (difference of 50 between the 5th observation and the 15th observation).Pretty Bright: less than 100, as the outlier does not count for the IQR.Skewness of Delightful BrightThe delighful bright distribution has a constant increase of 50 in the duration of each bulb, hence the distribution is symmetric around the mean and option c is incorrect.
Standard deviationThe standard deviation is given by the square root of the sum of the differences squared between each observation and the mean.
Since the Super Bright measures are all equal, their standard deviation has the lowest possible value, and option D is correct.
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