Approximate 5√3 to the nearest tenth.
What is an equation of the line that passes through the points (-6, 6) and (-3, 1)?
Answer:
5x + 3y = 18
Step-by-step explanation:
First find slope. m = (y2 - y1)/(x2 - x1) = (6 -1)/(-6 --3) = 5/-3
then. use. y - y1 =. m (x - x1). which gives. y - 1 = -5/3(x - 3)
then. y - 1 = -5/3x + 5
then y = -5/3 x + 6. or. 5x + 3y = 18
The percentage of organ donors who died from drug overdoses changed by 9.34% - 1.10% =8.24% between 2000 and 2015. what is this as a percentage of donors dying from drug overdoses in 2000?
The current percentage in comparison to in the year 2000 is 88.22%.
We are given the percentage of death in the year 2000, 2015 and the difference. Now, we have to find the percentage of donors between change and the original deaths in the year 2000.
To find this, we will use the following formula -
Percentage change = Difference between the percentage change in the year 2000 to 2015 ÷ Percentage of deaths in the year 2000 ×100
Now, keep the values in formula to find the percentage change.
Percentage change = [tex]\frac{8.24}{9.34} *100[/tex]
Performing division to find the percentage change
Percentage change = 0.882*100
Further performing multiplication to get the answer in the form of percentage
Percentage change = 88.22%
Hence, the comparison of difference with the percentage of donors dying from drug overdoses in 2000 is 88.22%.
Learn more about problems on percentage -
https://brainly.com/question/11712455
#SPJ4
Solve the following equation for a. a - 32 = 47
Answer:
a=79
Step-by-step explanation:
you just have to make "a" the subject of the formula so as to solve for "a"
a=47+32=79
Can someone please help me? :(
What you have to do first is you have 5 owners correct? well you take anything they are sharing in the case it is delay/debt. so you divide $110 by 5 and you should get the amount $22. This means that each owner has to pay $22 to the delay.
The Oompa-Loompas are 4
inches tall when they are
children. The Hyperion tree is
1,000 times greater in height.
How tall is the Hyperion tree?
Answer:
4000inches
Step-by-step explanation:
1000*4 = 4000inches
Answer: 4,000 inches
Step-by-step explanation:
this is because 4 times 1000 is 4000 so the Hyperion tree would be 4000 inches tall
Shantira is thinking of a number n, and she wants her sister to guess the number. her first clue is that nine less than five times her number is at least six and at most twenty-one. write a compound inequality that shows the range of numbers that shantira might be thinking of
The value of the integer number n is greater than 5 and less than 9.
Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is use it to compare two statements.
Simplification is to make something easier to do or understand and to make something less complicated.
Shantira is thinking of a number n.
Her first clue is that six less than six times her number is between twenty-four and forty-eight.
Let n be the integer number.
Then according to the condition,
Her first clue is that six less than six times her number is between twenty-four and forty-eight.
24 < 6n - 6 < 48
Add 6, then
30 < 6n < 54
Divide it by 6
5 < n < 9
So the value of the integer number n is greater than 5 and less than 9.
For more information on inequality click on the link below:
https://brainly.com/question/11613554
#SPJ4
In determining whether a process is in statistical control, the _____ should be analyzed first.
In determining whether a process is in statistical control, the R-chart should be analyzed first.
Given that, in determining whether a process is in statistical control, the _____ should be analyzed first.
What is statistical control?A quality control technique called statistical process control uses statistical techniques to monitor and manage a process. This makes it possible to maintain an effective process that generates more products that meet specifications while using less trash.
When measuring small subgroups (n 10) from a process at regular intervals, an R-chart is a sort of control chart that is used to track the process variability (as the range). The value of a subgroup range is represented by each point on the chart.
Therefore, in determining whether a process is in statistical control, the R-chart should be analyzed first.
To learn more about statistical control visit:
https://brainly.com/question/17150305.
#SPJ4
A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mode?
The mode is the most common value in a set of data values then the mode of the given set of data is 56.
What is a mode?The mode is the most common value in a set of data values. If X is a discrete random variable, the mode is the x value at which the probability mass function maximizes. In other words, it is the most likely value to be sampled.
The most common number, or the number that appears the most frequently. Example: Since the number 2 occurs three times, more than any other number, it is the mode of the sequence "4, 2, 4, 3, 2, 2."
Let the given data be 39, 41, 44, 50, 54, 56, 56, 56, 61
The mode is the most common value in a set of data values.
Then the mode of the given set of data is 56.
To learn more about mode, refer to:
https://brainly.com/question/14532771
#SPJ4
What is the value of 1/4(38-14)+3^3 divided by 9?
Answer:
9
Step-by-step explanation:
[tex]38-14\\\bold{24}\\\rightarrow 1\div \:4\cdot \:24+3^3\div \:9\\3^3\\\bold{27}\\\rightarrow 1\div \:4\cdot \:24+27\div \:9\\1\div \:4\cdot \:24\\\frac{1}{4}\cdot \:24\\\bold{6}\\\rightarrow 6+27\div \:9\\27\div \:9\\\bold{3}\\6+3\\=9[/tex]
Both my numerator and denominator are even numbers and their sum is 68 i am equivalent to 7/10 what fraction am i
Select the domain and range of the graph in set-builder and interval notation.
The domain of the function:{x|x<-1 and x>1} or (-∞,-1] ∪[1,∞) and the range of the function {y|y∈R} or (-∞,∞) .
A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.
In the given graph we can see that the values of x are all real values greater than 1 and all real values less than 1
Therefore the domain of the function is set-builder notation is given by:
{x|x<-1 and x>1}
The domain of the function in interval notation is given by:
(-∞,-1] ∪[1,∞)
Therefore the range of the function is set-builder notation is given by:
{y|y∈R}
The range of the function in interval notation is given by:
(-∞,∞)
To learn more about domain and range:
https://brainly.com/question/28135761
#SPJ9
Given the inequality −6
The absolute value inequality is |x - 6| < 12 and the complete points are Midpoint = 6 and Distance = 12
How to complete the inequality?The inequality expression is given as
-6 < x < 18
The distance is calculated as:
Distance = |18 -(-6)|/2
Evaluate the difference
Distance = 12
The midpoint is calculated as:
Midpoint = 0.5 * (18 - 6)
Evaluate
Midpoint = 6
The absolute value inequality is represented as
|x - Midpoint| < Distance
So, we have
|x - 6| < 12
Hence, the absolute value inequality is |x - 6| < 12 and the complete points are Midpoint = 6 and Distance = 12
Read more about absolute value inequality at
https://brainly.com/question/13282457
#SPJ1
The number of girls is 17 less than twice the number of boys. Right an equation about this description.
Answer:
g = 2b - 17
Step-by-step explanation:
Girls = g
Boys = b
g = 2b - 17
Researchers wanted to determine if there was an association between the level of happiness of an individual and their risk of breast cancer. The researchers studied 1813 people over the course of 5 years. During this 5-year period, they interviewed the individuals and asked questions about their daily lives and the hassles they face. In addition, hypothetical scenarios were presented to determine how each individual would handle the situation. These interviews were videotaped and studied to assess the emotions of the individuals. The researchers also determined which individuals in the study experienced any type of breast cancer over the 9-year period. After their analysis, the researchers concluded that the happy individuals were less likely to experience breast cancer. (a) What type of observational study was this? Explain. (b) What is the response variable? What is the explanatory variable?
The answers to all the subparts of the question are shown below.
What is an observational study?An observational study is used in fields such as epidemiology, social sciences, psychology, and statistics to draw conclusions from a sample to a population where the independent variable is not under the researcher's control due to ethical concerns or logistical constraints. One common observational study is about the potential effect of a treatment on subjects, where the assignment of subjects to a treated versus a control group is beyond the investigator's control.(A) What type of observational study was this?
Because all information about the individuals was gathered at one point in time, this was a cross-sectional study.(B-1) What is the response variable?
Whether or not the woman has IDC breast cancer is the response variable. The qualitative response variable is used.(B-2) What is the explanatory variable?
Whether or not the woman has IDC breast cancer is the explanatory variable.Therefore, the answers to all the subparts of the question are shown.
Know more about observational studies here:
https://brainly.com/question/14393640
#SPJ4
What will these look like?
Answer:
Step-by-step explanation:
Find the centroid of the region in the first quadrant bounded by the given curves. y = x4, x = y4
The given bounded region is the set
[tex]R = \left\{(x,y) ~:~ 0 \le x \le 1 \text{ and } x^4 \le y \le x^{1/4} \right\}[/tex]
assuming the curves are [tex]y=x^4[/tex] and [tex]x=y^4\implies y=x^{1/4}[/tex] (since [tex]x>0[/tex] in the first quadrant).
The coordinates of the centroid are [tex](\bar x, \bar y)[/tex] where [tex]\bar x[/tex] and [tex]\bar y[/tex] are the average values of [tex]x[/tex] and [tex]y[/tex], respectively, over the region [tex]R[/tex]. These are given by the ratios
[tex]\bar x = \dfrac{\displaystyle \iint_R x \, dA}{\displaystyle \iint_R dA} \text{ and } \bar y = \dfrac{\displaystyle \iint_R y\,dA}{\displaystyle \iint_R dA}[/tex]
Compute the area of [tex]R[/tex].
[tex]\displaystyle \iint_R dA = \int_0^1 \int_{x^4}^{x^{1/4}} dy \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \frac45 - \frac15 = \frac35[/tex]
Integrate [tex]x[/tex] and [tex]y[/tex] over [tex]R[/tex].
[tex]\displaystyle \iint_R x \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} x \, dy \, dx \\\\ ~~~~~~~~ = \int_0^1 x \left(x^{1/4} - x^4\right) \, dx \\\\ ~~~~~~~~ = \int_0^1 \left(x^{5/4} - x^5\right) \, dx \\\\ ~~~~~~~~ = \frac49 - \frac16 = \frac5{18}[/tex]
[tex]\displaystyle \iint_R y \, dA = \int_0^1 \int_{x^4}^{x^{1/4}} y \, dy \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left((x^{1/4})^2 - (x^4)^2\right) \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^1 \left(x^{1/2} - x^8\right) \, dx \\\\ ~~~~~~~~ = \frac12 \left(\frac23 - \frac19\right) = \frac5{18}[/tex]
Then the centroid's coordinates are
[tex]\bar x = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}} \approx 0.463[/tex]
[tex]\bar y = \dfrac{\frac5{18}}{\frac35} = \boxed{\frac{25}{54}}[/tex]
2 ( x + a ) = 4b explain how i solve this not the answer how to sovle it please
Answer:
x = 2b - a
Step-by-step explanation:
2(x + a) = 4b
2x + 2a = 4b
x + a = 2b
x = 2b - a
I think this question is incomplete
A plumber needs to install handles in 9 sinks. Each sink has a hot water handle and a cold water handle.he has 19 handles. Does he have enough handles?
The plumber has enough handles to install the entire 9 sinks
How to calculate the amount of handles needed for installation ?A plumber needs to install handles in 9 sinks
Each sink has a hot water handle and a cold water handle, that means each sink will require 2 handles. This means the multiplication of 9 and 2
= 9 × 2
= 18
The plumber has a total of 19 handles and 18 handles are required for the installation. This means that he has enough handles and he will be left with one handle.
Hence, there will be enough handles for the installation.
Read more on multiplication here
https://brainly.com/question/13608561
#SPJ1
Use the numbers 1,2,3,4,5,6 to fill in the circles to make the equations true. Use each number once.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Last year, 63 new houses were built in a neighborhood. So far 6/7 of them have been sold. How many new houses have been sold this year?
Write your answer in simplest form
Answer is 54. Here is a trick for you. Write 63 as a fraction, with the denominator as 1. 63/1. Then insert the fraction you are calculating, 6/7: (6*63)/7*1. Do the multiplication, 6*63=378, 7*1=7. Then write as 378/7. What's 378/7? Your answer 54.
a sequence of natural numbers is constructed by listing the first 4, then skipping the next 5, skipping 2 listing 6, skipping 3, and, on the nth iteration, listing n 3 and skipping n. the sequence begins 1,2,3,4,6,7,8,9,10,13. what is the 500,00th number in the sequence?
The 500,00th number in the sequence = 98828
What is sequence?A sequence is a numbered collection of objects where repeats are permitted and order is important. It has members, just like a set. The length of something like the sequence is defined as the number of items.
According to the given data:here n^th iteration n+3 element are listed and n element are skipped.
now before nth iteration total skipped natural number : 1+2+3+.........n-1
= n(n-1)/2
now after completion of nth iteration total listed natural number = 4+5+6+.....n+3
= ((n+3)(n+4)/2)-6
to find 50000th number total listed element must be greater than or equal to 50000.
((n+3)(n+4)/2)-6 ≥ 50000
(n+3)(n+4) ≥ 100012
n = 313
total skipped before 313th iteration
=( 313 * 312)/2
= 48828
total listed before 313th is 48828.
listed after 312th iteration
= ((315)(316))/2)-6
= 49764
total number remaining for 50000
= 50000 - 49764
= 236
total number passed.
skipped+ listed
= 48828 + 49764
= 98592
50000th element = 98592 + 236
= 98828
The 500,00th number in the sequence = 98828
To know more about sequence visit:
https://brainly.com/question/21961097
#SPJ4
Passes through (-3,2) and perpendicular to the line containing (2,3) and (1,-2)
Answer:
(1,-2)
Step-by-step explanation:
Passes through (-3,2) and perpendicular to the line containing (2,3) and
Bruce made 6 pans of brownies. He cut each pan into 9 brownies. How many brownies did Bruce end up with?
Answer:
54
Step-by-step explanation:
9 x 6 = 54 Bruce will end up with 54 brownies if he cuts each of the 6 brownie pans of brownies into 9.
Simplfyy -3x plus7y plus21y -21
Answer:
-3x + 28y - 21
Step-by-step explanation:
[tex]7y+21y=28y\\=-3x+28y-21[/tex]
• Add the similar factors and carry over the uncommon factor, -3x.
put r^(2 )-15 = t+19 into a sentance
The difference between the square of the numbers 'r' and 15 is the same as the sum of the numbers 't' and 19.
How to convert the equation into a sentence?The act of converting mathematical equations into a specified statement is known as equation to sentence transformation.
The mathematical equation is given below.
r² - 15 = t + 19
In the above equation, there are two variables that are 'r' and 't'. Then the mathematical equation can be converted into a sentence as,
The difference between the square of the numbers 'r' and 15 is the same as the sum of the numbers 't' and 19.
More about the conversion of an equation into a sentence link is given below.
https://brainly.com/question/10606712
#SPJ1
The required expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
What is a word sentence?
A mathematical sentence makes a statement about two expressions. The two expressions either use numbers, variables, or a combination of both. A mathematical sentence can also use symbols or words like equals, greater than, or less than.
Given:
The given equation is
[tex]r^{2}[/tex]-15 = t+19
According to given question we have
The expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
Therefore, the required expression is written into sentence as Fifteen less than the square of r equals the sum of t and nineteen.
Learn more details about here:
https://brainly.com/question/373961
#SPJ1
Solve 7x2 - 2x = −3
Please
Answer:
I think the answer to this question is the last multiple choice answer
Step-by-step explanation:
PLEASE HELP ASAPPP !! WILL GIVE BRAINLIEST AND 5 STAR RATINGGG
Answer:
5/6
Step-by-step explanation:
Find the volume of the solid. PLEASE HELPPPPPPPP
Answer:
V≈743.25
Step-by-step explanation:
V=5
12tan(54°)ha2=5
12·tan(54°)·4·182≈743.24624
Travis painted for 6 2/3 hours. He received $27 an hour for his work. How much was Travis paid for doing this painting job?
Answer:
$180
Step-by-step explanation:
Well because it is $27 per hour, you can start with the whole hours:
6*27=162
then because you are working with fractions you can find what 1/3 of 27 is:
27* (1/3)=9
this tells us that one-third of an hour is worth 9 dollars but because it is 2/3 then you just add another 9. This means 2/3 of 27 is 18.
Then you just add it all up:
162+18=180
