(×2+1)(x3+2x)(x2+4x-16i-4xi) Solve for the roots in equation
Jayson takes a total of 5 hours of swimming lessons per week.if each lesson is 5/6 of an hour how many lessons does he take per week
5x + 20 = y 5x + 20 = 70 5x = 50 x = 10 Jack has a business mowing lawns and charges a flat fee of $20 per yard, plus an additional $5 an hour. He wants to make sure that he makes at least $70 doing yard work for a client with a very large yard. He sets up and solves the equation above. What does his solution of 10 mean? A) He needs to mow at least 10 yards. B) He needs to work for at least 10 days for this client. C) He needs to work at least 10 hours in the client's yard. D) He needs to charge and additional $10 an hour for this client.
Answer:
C
Step-by-step explanation:
The probability that a corporation made profits in 2005 is 0.78 and the probability that a corporation made charitable contributions in 2005 is 0.23. assuming that these two events are independent, the probability (rounded to 4 decimal places) that a corporation made profits in 2005 or made charitable contributions in 2005, but not both is:
Algebraic expression of 25 less than a number d
The algebraic expression for 25 less than a number is y = 25-x
What is an algebraic expression?An algebraic expression is a set of terms that have been combined using operations like addition, subtraction, multiplication, and division.
An algebraic expression is formed by a single term or by a group of terms.
For example, in the expression 4x + y, the two terms are 4x and y.
Given that, we need to construct an expression for a number 25 less d,
Let the number be y,
The algebraic expression for 25 less than a number is;
y = 25-x
That we give, all the obtained value of y is less than 25.
Hence, the algebraic expression for 25 less than a number is y = 25-x.
Learn more about the algebraic expression, click:
brainly.com/question/953809
#SPJ2
The ladybugs are planting a garden. They have 25-cm-by-10 cm rectangle for flowers. Each flower needs exactly 1 square centimeter for space. How many flowers can they plant?
Answer: They can plant 250 flowers.
Step-by-step explanation:
Given : The dimension of the rectangular garden = 25-cm-by-10 cm
[i.e. length by width]
Area of rectangle = length x width
⇒ Area of rectangular garden = 25 x 10 = 250 square centimeter .
Area required by each flower = 1 square centimeter
Then, the number of flowers they can plant = [tex]\dfrac{\text{Area of garden}}{\text{Area of needed by each flower}}[/tex]
[tex]=\dfrac{250}{1}=250[/tex]
Hence, they can plant 250 flowers.
The following table gives values of the differentiable function .
x
0
1
2
3
4
5
6
7
8
9
10
y
3
1
-2
-5
-4
2
-1
-2
-4
-6
-7
Now assume that the table gives values of the continuous function y=f'(x) (instead of f(x) ). Estimate and classify critical points of the function f(x).
The table of values below represents a linear function and shows the amount of money in a tip jar at a dry cleaners since the dry cleaners opened for the day. How much was in the tip jar when the dry cleaners opened?
A linear equation has a standard form of:
y = mx + b
where in this case,
y = amount of money in tip jar, m = slope, x = number of hours, b = y intercept
We select any two paired data to calculate for the slope:
m = (y2 – y1) / (x2 – x1)
m = (18.25 – 15.50) / (5 – 4)
m = 2.75
y = 2.75x + b
Choosing any one data pair to calculate for b the y-intercept:
15.50 = 2.75 (4) + b
b = 4.5
Therefore there was $4.50 in the tip jar during the opening.
Answer: $4.50
Answer:
4.50
Step-by-step explanation:
from the table, we can tell the tip increases by 2.75 per hour
the 3rd hour: 15.50-2.75=12.75
the second hour: 12.75-2.75=10.00
the 1st hour: 10.00-2.75=7.25
the 0 hour: 7.25-2.75=4.50
so there was 4.50 in the jar
Helen's preferences over cds (c) and sandwiches (s) are given by u(s,
c.= sc + 10(s + c), with muc = s + 10 and mus = c + 10. if the price of a cd is $9 and the price of a sandwich is $3, and helen can spend a combined total of $30 each day on these goods, find helen's optimal consumption basket.
Is y=4x+x a linear equation
you are a geologist assigned to estimate the density of the Earth. look at picture for the full question:
The boy : Girl ratio is 4:5. If there are 225 students, how many girls are in the school? answer and proportion answer and proportion breakdown please
Find the exact circumference of a circle with the given radius. 3½ cm C = 7.5π cm 7π cm 6.25π cm
Answer:
(B) [tex]7{\pi}cm[/tex]
Step-by-step explanation:
We are given the radius of the circle that is equal to [tex]3\frac{1}{2}cm[/tex].
Now, circumference of circle is given as:
[tex]C=2{\pi}r[/tex]
[tex]C=2{\pi}(3\frac{1}{2})[/tex]
[tex]C=2{\pi}(\frac{7}{2})[/tex]
[tex]C=7{\pi}cm[/tex]
Therefore, the circumference of the circle is [tex]7{\pi}cm[/tex].
Hence, option B is correct.
Name the property illustrated be each statement. (3x+2)-5=(3x+2)-5
A submarine took 16 minutes to reach a depth of 96 meters below the surface of the water. Which integer best represents the rate of the submarines dive
When an opinion poll calls landline telephone numbers at random, approximately 30% of the numbers are working residential phone numbers. the remainder are either non-residential, non-working, or computer/fax numbers. you watch the random dialing machine make calls. x is the number of calls until the first working residential number is reached. does x have a binomial distribution? give your reasons?
the selling price of a refrigerator, is $471.45. if the markup is 5% OF THE DEALER cost, what is the dealers cost of the refrigerator
Two standardized tests, a and b, use very different scales of scores. the formula upper a equals 40 times upper b plus 50a=40×b+50 approximates the relationship between scores on the two tests. use the summary statistics for a sample of students who took test b to determine the summary statistics for equivalent scores on test
a. lowest score equals= 2121 mean equals= 2929 standard deviation equals= 22 q3 equals= 2828 median equals= 2626 iqr equals= 66 find the summary statistics for equivalent scores on test
a. lowest scoreequals= nothing meanequals= nothing standard deviationequals= nothing q3equals= nothing medianequals= nothing iqrequals= nothing
Final answer:
Using the transformation formula a = 40×b + 50, we calculated equivalent scores on Test A based on the given summary statistics of Test B, demonstrating the effects of linear transformation on statistical measures.
Explanation:
Using the formula a = 40×b + 50, we can calculate the equivalent scores on test A from the given summary statistics for test B. This formula allows us to transform the scores from one scale to another, maintaining the distribution's shape but adjusting the scale and location.
Lowest score on Test A = 40×(21) + 50 = 890Mean score on Test A = 40×(29) + 50 = 1,210Standard deviation remains unchanged as we are scaling and shifting the data. So, it is 40×(22) = 880.Q3 (third quartile) on Test A = 40×(28) + 50 = 1,170Median on Test A = 40×(26) + 50 = 1,090IQR (Interquartile range) remains constant as it's a measure of spread, not affected by linear transformations. So, it would be 40×(6) = 240.By applying linear transformation to the test scores, we can effectively compare results from tests using different scales, making it easier for educational institutions and researchers to evaluate data cohesively.
$74.95 jacket; 5% tax
In a certain school, course grades range from 0 to 100. Adrianna took 4 courses and her average course grade was 90. Roberto took 5 courses. If both students have the same sum of course grades, what was Roberto's average?
(I want to know the most easiest way to do it)
Nate went on a trip, and he used a table of values to repeatedly record the time he had been traveling and the distance from his destination. The function represented by the table of values is linear, and the rate of change is 50 miles per hour. Which of these statements is correct?
Answer: b. with any pair of values for time and distance, it is possible for Nate to determine the initial value by repeatedly subtracting 50, if necessary.
Step-by-step explanation: i took the unit test. hope this helps<33
Answer:
B
Step-by-step explanation:
edge 2021
Write a word problem for the absolute value
The absolute value is useful in solving problems involving distance, temperature, and error in measurement. The word problem is described below.
A word problem involving absolute value is as following:
John lives 3 blocks away from his school.
One day, he walked to school and noticed that he accidentally left his backpack at home.
He decided to go back home to get it. When John got back home, he realized that he forgot his backpack was actually in his car.
John's car is parked 5 blocks away from his house. How far did John walk in total?
To solve this problem, we need to use absolute value.
John walked 3 blocks to school, then back home, and then 5 blocks to his car.
The total distance he walked would be the absolute value of the difference between the distance from school to home and the distance from home to car:
|3 - 5| = 2
Therefore, John walked a total of 2 blocks that day.
To learn more about word problem visit:
https://brainly.com/question/29203255
#SPJ2
Approximately how many years are needed to double a $500 investment when interest rates are 13.50 percent per year? (Round your answer to 2 decimal places)
If p = .9, what is the frequency of the heterozygote? .81+(2)(.9)(.1) + (.01) .10 .81 + .18 .18
(b) the water level drops at a rate of 0.1 cm per hour. at what rate is the radius of the water decreasing when the depth is 4 cm? round your answer to four decimal places.
The rate at which the radius of the water is decreasing when the depth is 4 cm is 0.6949 cm/hr.
Explanation:To find the rate at which the radius of the water is decreasing, we can use the chain rule from calculus. Let's denote the depth of the water as 'h' and the radius as 'r'. We are given that the water level drops at a rate of 0.1 cm per hour, so dh/dt = -0.1 cm/hr. We want to find dr/dt when h = 4 cm. Using the formula for the volume of a cone, V = (1/3)πr^2h, we can find the relationship between r and h: r = √((3V)/(πh)). Taking the derivative of this equation with respect to time, we have: dr/dt = (√((3V)/(πh)))' = -(3/2)(√((3V)/(πh^3)))(dh/dt). Plugging in the given values and solving for dr/dt when h = 4 cm, we get:
dr/dt = -(3/2)(√((3(350))/(π(4)^3)))(-0.1) = 0.6949 cm/hr
Learn more about Rate of Change here:https://brainly.com/question/31226174
#SPJ3
Find 1112+(−712)1112+(−712). Write your answer as a fraction in simplest form.
Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employers paid another 6.2%. How much will someone earning $45,000 a year pay towards social security out of their gross wages?
Answer:
The answer is $1890.
Step-by-step explanation:
Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax)
While employers paid another 6.2%.
So, someone earning $45000, will pay [tex]0.042\times45000=1890[/tex] dollars in FICA.
The question says only individual. The earnings are exclusive to employees, so they will only pay from earnings. The employer will not pay from employee's earnings.
The answer is $1890.
The number of earnings towards social security should be $1,890.
Given that,
The employers in 2012 paid 4.2%.The employer should paid 6.2%.And, the earning should be $45,000.Based on the above information, the calculation is as follows:
[tex]= 4.2\% \times \$45,000[/tex]
= $1,890
Therefore we can conclude that the number of earnings towards social security should be $1,890.
Learn more: brainly.com/question/15449882
solve w = 9x + 5y for y
To solve the equation w = 9x + 5y for y, subtract 9x from both sides to get w - 9x = 5y. Then, divide every term by 5 to obtain y = (w - 9x) / 5
Explanation:To solve the equation w = 9x + 5y for y, you should first isolate y on one side of the equation. This involves a series of steps.
Start by subtracting 9x from both sides of the equation. This will give you w - 9x = 5y.Next, divide every term in the equation by 5 to solve for y. This would give you (w - 9x) / 5 = y or y = (w - 9x) / 5.Now, the equation has been solved for y, meaning you can now substitute any values for w and x into this equation to find the corresponding value for y.
Learn more about equation here:https://brainly.com/question/28552170
#SPJ2
What type of number is -12.123 repeating?
Choose all that apply.
Whole number
Integer
Rational
Irrational
Answer:
Rational
Step-by-step explanation:
The following diagram shows that all whole numbers are integers, and all integers are rational numbers. Numbers that are not rational are called irrational.
Hint #22 / 4
\green{\text{Whole numbers}}Whole numbers start color #28ae7b, start a text, W, h, o, l, e, space, n, u, m, b, e, r, s, end text, end color #28ae7b are numbers that don't need to be represented with a fraction or decimal. Also, whole numbers cannot be negative.
\blue{\text{Integers}}Integersstart color #6495ed, start a text, I, n, t, e, g, e, r, s, end text, end color #6495ed are whole numbers but can also be negative.
\purple{\text{Rational numbers}}Rational numbersstart color #9d38bd, start text, R, a, t, i, o, n, a, l, space, n, u, m, b, e, r, s, end text, end color #9d38bd are numbers that can be expressed as a fraction of two integers. Keep in mind that the denominator cannot be equal to 000!
\pink{\text{Irrational numbers}}Irrational numbersstart color #ff00af, start text, I, r, r, a, t, i, o, n, a, l, space, n, u, m, b, e, r, s, end text, end color #ff00af are numbers that cannot be expressed as a fraction of two integers.
Hint #33 / 4
Now, let's answer the question.
-0.\overline{12}−0.
12
minus, 0, point, start overline, 12, end overline is not a whole number because it needs to be represented with a fraction or decimal.
For this same reason, -0.\overline{12}−0.
12
minus, 0, point, start overline, 12, end overline is not an integer.
-0.\overline{12}−0.
12
minus, 0, point, start overline, 12, end overline is a rational number because it can be represented as a fraction of two integers \left(-\dfrac{4}{33}\right)(−
33
4
)left parenthesis, minus, start fraction, 4, divided by, 33, end fraction, right parenthesis.
Hint #44 / 4
The following number type applies to -0.\overline{12}−0.
12
minus, 0, point, start overline, 12, end overline :
Rational
The number -12.123 repeating is rational
What is Number system?A number system is defined as a system of writing to express numbers.
-12.123 repeating is a rational number.
A rational number is any number that can be expressed as a ratio of two integers (i.e. a fraction), where the denominator is not zero.
In this case, we can express -12.123 repeating as the fraction:
-12.123... = -12123/1000
Since -12123 and 1000 are both integers, and the denominator is not zero, -12.123 repeating is a rational number.
Hence, the number -12.123 repeating is rational
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
The product P of two consecutive natural numbers, the first of which is N
The product of two consecutive natural numbers, with the first being [tex]\( N \),[/tex]is [tex]\( N \times (N + 1) \).[/tex]
The product [tex]\( P \)[/tex] of two consecutive natural numbers can be expressed as the product of a number and its consecutive number. So, if the first number is [tex]\( N \),[/tex] then the second number would be [tex]\( N + 1 \).[/tex] Therefore, the product [tex]\( P \)[/tex] can be written as:
[tex]\[ P = N \times (N + 1) \][/tex]
Expanding this, we get:
[tex]\[ P = N^2 + N \][/tex]
This represents the product of two consecutive natural numbers where [tex]\( N \)[/tex] is the first number.