The location of the point R will be at [tex]R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]
The midpoint formula is expressed according to the formula;
[tex]R(x, y) = (\frac{ax_1+bx_2}{a+b},\frac{ay_1+by_2}{a+b})[/tex]
where;
a and b are the ratiosGiven the coordinates Q(-8, 0) and S(12, 0) partitioned in a 4:1 ratio, the coordinate of point R will be expressed as:
[tex]R(x, y) = (\frac{4(-8)+0}{4+1},\frac{1(12)}{4+1})\\R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]
Hence the location of the point R will be at [tex]R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]
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the output is two more than the input
For f(x) = -1/5x - 14 find x when f (x) = -8
Hi!
30 = x
f(x) = -1/5x - 14 find x when f (x) = -8
Set the equation equal to -8
-8 = -1/5x - 14
Add 14 to both sides.
6 = -1/5x
Multiply both sides by -5.
30 = x
Hope this helps! :D
A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 21 minute? In 1 hour?
−
3
x
+
y
=
−3x+y=
−
3
−3
−
6
x
+
2
y
=
−6x+2y=
−
3
−3
Answer: -3x+4
Step-by-step explanation:
combine like terms.
3x+ -6x=-3
-3+-3+2= -4
-3x + -4
Which equation represents the vertical line passing through (14,-16)?.
The vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.
Given the following data:
Points (x, y) = (14, -16)To find an equation of the vertical line that passes through the given points (14, -16):
The standard form of an equation of line is given by the formula;
[tex]y=mx+b[/tex]
Where:
x and y are the points.m is the slope.b is the intercept.For any equation of a straight line, the x-coordinate of a vertical line will always be the same irrespective of the point chosen on the vertical line. because a vertical line is perpendicular to the x-axis.
Deductively, the vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.
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One research study of illegal drug use among 12- to 17-year-olds reported a decrease in use (from 11.4% in 1997) to 9.8% now. Suppose a survey in a large high school reveals that, in a random sample of 1046 students, report using illegal drugs. Use a 0.05 significance level to test the principal's claim that illegal drug use in her school is below the current national average.
Using the z-distribution, it is found that since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.
At the null hypothesis, it is tested if drug use in her school is not below the national average, that is:
[tex]H_0: p \geq 0.098[/tex]
At the alternative hypothesis, it is tested if it is below, that is:
[tex]H_1: p < 0.098[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.93 out of 1046 reported using illegal drugs, hence the parameters are:
[tex]n = 1046, \overline{p} = \frac{93}{1046} = 0.0889, p = 0.098[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.0889 - 0.098}{\sqrt{\frac{0.098(0.902)}{1046}}}[/tex]
[tex]z = -0.99[/tex]
The critical value for a left-tailed test, as we are testing if the proportion is less than a value, is [tex]z^{\ast} = -1.645[/tex]
Since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.
To learn more about the use of the z-distribution to test an hypothesis, you can take a look at https://brainly.com/question/25584945
A solid object where the radius of bse is 7cm and height is 12cm
Answer:
A cylinder with a base radius of 7cm and a height of 12 cm.
Step-by-step explanation:
A solid object =7cm
height=12cm
Now,
we know that l = b×g
=12×7
= 84
Jordan invests £16200 into his bank account.
He receives 2.5% per year simple interest.
How much will Jordan have after 5 years?
Give your answer to the nearest penny where appropriate.
Answer:
18225
Step-by-step explanation:
16200*0.025*5=2025
2025+16200 = 18225
The winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles. He finished the race in 54 minutes. For the entire triathlon, what was his average speed in miles per hour?
Answer:
15 or 15.546
Step-by-step explanation:
you add all the numbers then divide by 54
Based on the information given, the speed is 20 miles per hour.
From the information given, the winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles and he finished the race in 54 minutes.
Note that 54 minutes = 0.9 hour.
The speed will be:
= (0.5 + 15 + 2.5) / 0.9
= 18/0.9
= 20 miles per hour.
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the weight of a chimpanzee ,y in pounds x months after birth is modeled by the equation y=1.5x+8. Which represents the equation when solved for x?
Answer:
Step-by-step explanation:
The recipe for 4 people says I need 300g of sugar. I am making for 10 people. How much sugar do I need in g?
Answer:
750g
Step-by-step explanation:
300 divided by 4, for amount of sugar per person
you'll get 75
then multiply 75 by 10 for 10 people
you get 750g
which integer represents 8°c below 0?immersive reader (1 point)
Answer: -8
Step-by-step explanation: negative numbers are below zero in this case its 8 below zero which the keyword is below which means less than negative integers are less than zero so its -8
Simplify the expression. Write your answer as a power.
4.5^5/4.5^3
The simplified expression is
d20) A department store buys 200 shirts at
of $2,400 and sells them at a selling price of $20
each. Find the percent markup.
Pls answer now I need it pls
I forgot how to do this lol
A cylindrical, wooden table top has a density of 0.42 g cm 3 and a mass of 0.25 kg.
The table top has a depth of 6 cm.
Find the radius of the table top, rounded to 1 dp.
The radius of the table top, rounded to 1 dp is 5.6 cm
From the question,
We are to determine the radius of the table top
First, we will determine the volume of the cylindrical wooden table
From the given information
Density = 0.42 g/cm³
Mass = 0.25 kg = 250 g
Using the formula
[tex]Volume = \frac{Mass}{Density}[/tex]
∴ [tex]Volume = \frac{250}{0.42}[/tex]
Volume = 595.238 cm³
Now, for the radius of the table top
Using the formula for volume of a cylinder
[tex]V = \pi r^{2}h[/tex]
Where V is the volume
r is the radius
and h is the height or depth
From the given information
h = 6cm
Putting the parameters into the formula
[tex]595.238 = \pi r^{2} \times 6[/tex]
∴ [tex]r^{2} = \frac{595.238}{6\pi }[/tex]
[tex]r^{2} =31.57835667[/tex]
[tex]r =\sqrt{31.57835667}[/tex]
r = 5.6 cm
Hence, the radius of the table top, rounded to 1 dp is 5.6 cm
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The scatter plot shows the number of minutes since several celebrities have posted a photo compared to the number of likes the photo has received. If a celebrity posted a photo 6.5 minutes ago, which is the best prediction of the number of likes it has received?
Answer:
is there a photo of a scatter plot?
Step-by-step explanation:
1 1/3 x 5 Multiply and answer with a mixed number in the simplest form.
Answer:
The answer is 55/3
Step-by-step explanation:
11 should be divided by 3 and 5 should be multiplied later..
11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the
money is $840. How many ten-dollar bills does she have?
PT.2 OF MY HW IT IS UNIT RATE PLEASE HELP!
Answer:
Car 1
Step-by-step explanation:
Answer: Car 1
Step-by-step explanation:
Notice that the speed of each car is the slope of the line that represents its average speed.
Since the graph of the speed of Car 1 passes through (0,0) and (4,256), we get that its slope is:
256/4 = 64
Therefore the average speed of Car 1 is 64 mi/h.
Now, since the equation that represents the average speed of Car 2 is in slope-intercept form, we get that its slope is 55.
Therefore the average speed of Car 2 is 55 mi/h.
Answer: Car 1.
I need these answers in 5 MINUTES PLZ HELP
Answer: 1. w=-30%
2. c=361
Step-by-step explanation: 1. 15+15=30 2. a looks the same size as c so c is 361 or same as a
It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In 20 min, the bucket is 1/8 of the way full. What is the rate at which the water is leaking per hour? and what is the longest time he can be away from the house before the bucket will overflow?
Step-by-step explanation:
You start by asking yourself or as I call it crossmultiply
if 20 min the bucket is 1/8 full what about 8/8 or a whole
20×8/8×1/8
=160 min or 2.6 hrs
Answer:
[tex]2\frac{1}{2} hours[/tex]
Step-by-step explanation:
What is the rate at which the water is leaking per hour?
rate: [tex]\frac{1}{5} buckets = \frac{1}{5}/ \frac{1}{2} buckets/ hr\\ ----\\\frac{1}{2} hour = \frac{2}{5} buckets/ hr[/tex]
Write an equation that represents the relationship between the number of buckets filled, , in hours.
[tex]y=\frac{2}{5}x[/tex]
What is the longest that Jeremy can be away from the house before the bucket will overflow?
[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2} hours[/tex]
Someone help me please
Answer:
Step-by-step explanation:
any minus temperature is < 7oC
0 is < 7oC
1 ... 6 is < 7oC
A laptop is 30% off the regular price of 920$ If a 6% sales tax is added to the cost what is total cost of the laptop
Answer
If we had a sale price of 30% off of $1,050then the sale price is 70% of $1,050 or 0.7(1050) Then we add 7% sales tax to that making thefinal price paid 107% of [0.7(1050)] ... 1.07[0.7(1050)] = $786.45
Write an equation for the perimeter of the rectangle
Answer:
Area = 2(5x - 4) + 2(5x)
Step-by-step explanation:
Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.
..............................
Answer:
A rational number is a number that doesn't terminate or repeat
a non rational number is a number that terminates or repeats
so she basicelly got mixed up
Hope This Helps!!!
Which triangles could not be similar to triangle ABC ? triangle a b c with right angle b. side a b is 12 cm. side b c is 5 cm. side a c is 13 cm. Select each correct answer. Right triangle D E F with right angle at E. D E is 8 centimeters. D F is 10 centimeters. E F is 6 centimeters. Right triangle J K L with right angle at K. J K is 36 centimeters. J L is 39 centimeters. K L is 25 centimeters. Right triangle M N O with right angle at N. M N is 35 centimeters. M O is 37 centimeters. N O is 12 centimeters. Right triangle G H I with right angle at H. G H is 6 centimeters. G I is 6.5 centimeters. H I is 2.5 centimeters.
Answer:
triangle JKL
Step-by-step explanation:
This is because the lengths of each side JKL is a factor to ABC
respectively .
AB=12,JK=36
AC=13,JL=39
BC=5,KL=25
I hope you understand
(a) A straight line L, whose equation is 3y - 2x = -2 meets the x-axis at R Determine the co-ordinates of R.
Answer:
(1 , -2/3)
Step-by-step explanation:
when y =0
3×0-2x=-2
0-2x=-2
divide both side by -2
x=1
when x=0
3y-2×0=-2
3y-0=-2
divide both side by 3
y=-2/3
Select the correct answer.
If a = 0.3 and b =0.5, what is the value of a+b?
A.8/10
B.8/9
C.80/99
D.88/100
Answer:
B
Step-by-step explanation:
What is the domain and range
Answer:
Step-by-step explanation:
Domain means what x's are on this graph, or what x's can you put into this equation. Range means what y's are in this graph or what y's can you get out if this equation. For y=x you can literally put in any x and get out any y, so the domain and range are both all real numbers. I couldn't see the choices on your drop down and there's several ways to write "all real numbers" as an answer. The absolute value graph y=|x| is a V-shaped graph so again, you can put in any x, but you only get positive numbers out (and 0, if you input 0) so the range us just all the y's that are 0 and bigger. That is y>=0. Again, there are several ways to write that such as {y | y>=0} or [0, infinity symbol)