Work Shown:
Apply the slope formula
m = (y2-y1)/(x2-x1)
m = (1-3)/(3-(-1))
m = (1-3)/(3+1)
m = -2/4
m = -1/2 is the slope
In decimal form, this converts to -0.5, though usually slopes are in fraction form.
If f(x) = 4x and gx) = 2x- 1, what is g(f(-2))?
-17
-13
-8
-5
Answer:
-17
Step-by-step explanation:
We are given these following functions:
[tex]f(x) = 4x[/tex]
[tex]g(x) = 2x - 1[/tex]
g(f(-2))
First we find f when x = -2, then we find g for this value(f when x = -2). So
[tex]f(-2) = 4(-2) = -8[/tex]
[tex]g(f(-2)) = g(-8) = 2(-8) - 1 = -16 - 1 = -17[/tex]
Thus -17 is the answer.
The weight gain of beef steers were measured over a 140 day test period. the average daily gains (lb/day) of 10 steers on the same diet were as follows. The tenth steer had a weight gain of 4.02 lb/day.
3.89 3.51 3.97 3.31 3.21 3.36 3.67 3.24 3.27
determine the mean and median.
Answer:
[tex]\bar x = 3.545[/tex]
[tex]Median = 3.435[/tex]
Step-by-step explanation:
Given
[tex]x:3.89, 3.51, 3.97, 3.31, 3.21, 3.36, 3.67, 3.24, 3.27[/tex]
[tex]10th: 4.02[/tex]
Solving (a): The mean
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{3.89 +3.51 +3.97 +3.31 +3.21 +3.36 +3.67 +3.24 +3.27+4.02}{10}[/tex]
[tex]\bar x = \frac{35.45}{10}[/tex]
[tex]\bar x = 3.545[/tex]
Solving (b): The median
First, we sort the data; as follows:
[tex]3.21, 3.24, 3.27, 3.31, 3.36, 3.51, 3.67, 3.89, 3.97, 4.02[/tex]
[tex]n = 10[/tex]
So, the median position is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{10 + 1}{2}th[/tex]
[tex]Median = \frac{11}{2}th[/tex]
[tex]Median = 5.5th[/tex]
This means that the median is the average of the 5th and 6th item
[tex]Median = \frac{3.36 + 3.51}{2}[/tex]
[tex]Median = \frac{6.87}{2}[/tex]
[tex]Median = 3.435[/tex]
Slope intercept
6times+5y=15
Answer:
y= (-6/5)x+3
Step-by-step explanation:
6x+5y=15
Divide everything by 5
(6/5)x + y = 3
Move (6/5)x to the other side of the = sign by subtracting
y= (-6/5)x + 3
That's your answer!
Hope it helps!
The population of watesville decreases at a rate of 1.6% each year if the population was 62,500 in 2015 what will it be in 2021
Answer:
Step-by-step explanation:
We need to first find the model for this particular situation, knowing that this is an exponential decay problem. The main equation for exponential growth/decay (as far as population goes for our problem) is
[tex]y=a(b)^x[/tex] where a is the initial population, b is the rate of decrease in the population which can also be written as (1 - r), y is the population after a certain amount of time, x, goes by. We will let year 2015 = 0 so year 2021 can = 6. This keeps our numbers lower and doesn't change the answer!
Our initial population in the year x = 0 is 62500. Our rate of decay is
(1 - .016) so our b value is .984
Filling in to find our model:
[tex]y=62500(.984)^x[/tex]
Now we can use that model and sub in a 6 for x to find the population in the year 2021:
[tex]y=62500(.984)^6[/tex] and
y = 62500(.9077590568) so
y = 56734.9 or, rounded to the nearest person, 56735
What is the measure of angle WZY? 54.5° 71° 125.5° 180°
Answer:
71
Step-by-step explanation:
The measure of angle WXY will be thee ame as the measure of the intercepted arc, 109°.
W and Y are both tangent to the circle; this means angle XWZ and angle XYZ are both 90°.
Every quadrilateral has a total measure of 360°; to find the measure of WZY, we subtract:
360-90-90-109 = 71°
The measure of angle WZY (∠WZY) is; 71°
What is the measure of the angle?From the attached image, we can say that the measure of ∠WXY will be the same as the measure of the intercepted arc, 109°.
Now, W and Y are both tangent to the circle and this means that ∠XWZ and ∠XYZ are both equal to 90°.
Now, every quadrilateral has a total internal sum of angles as 360°.
Thus, ∠WZY is gotten from;
∠WZY = 360 - (90 + 90 + 109)
∠WZY = 71°
Read more about angles in cyclic quadrilaterals at; https://brainly.com/question/24368895
Help please :)......
Answer:
x | y
0 | 2
2 | 10
4 | 18
Step-by-step explanation:
the function would be y=4x+2
just plug each x value in to get each y value
what is the y-intercept of the line shown below?
A:3/4
B:2
C:3
D:4
The y-intercept is the y value where the blue line crosses the Y axis which is the vertical black line.
The line crosses at the number 4, so the y-intercept is 4
Answer: D. 4
what are the two points in the image and what is the midpoint?
One can observe the midpoint is [tex](-3,1)[/tex].
But in order to verify the observation we must use formula to compute the midpoint of the segment formed by the endpoints.
The formula for such midpoint is [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are endpoints.
Our endpoints are [tex](-5,-3)[/tex] and [tex](-1,5)[/tex], so our midpoint is
[tex](\frac{-5-1}{2}, \frac{-3+5}{2})=\boxed{(-3,1)}[/tex].
Hope this helps.
Mark purchashed 3 giant jawbreakers at 75cents each.he also bought 1/4 pound of hot tamales.which sell for $2.76 a pound.he gave the clerk a $5 bill.how much change did mark recieve? Whith his change,mark decided to buy 1/2 pound of m&ms at $3.24 a pound.how much money does mark have left?
Answer: $0.44
Step-by-step explanation: a) (3 * 0.75) + ((1/4)*2.76) = 2.25 + 0.69 = 2.94
Pays with $5 - $2.94 = $2.06 Change
((1/2) * 3.24) = $1.62
Money left = 2.06 - 1.62 => $0.44
define saturated and unsaturated fats
Answer:
A saturated fat is a type of fat in which the fatty acid chains have all or predominantly single bonds. A fat is made of two kinds of smaller molecules: glycerol and fatty acids. Fats are made of long chains of carbon atoms. Some carbon atoms are linked by single bonds and others are linked by double bonds.
Saturated fats: a type of fat containing a high proportion of fatty acid molecules without double bonds, considered to be less healthy in the diet than unsaturated fat
Unsaturated fats: a type of fat containing a high proportion of fatty acid molecules with at least one double bond, considered to be healthier in the diet than saturated fat.
what's the difference between both?: saturated fats Contains a single bond, Excessive consumption leads to heart diseases,High melting point and Solid state in room temperature. While Unsaturated Contains at least one double bond, Good for consumption, but excessive may increase cholesterol,Low melting point and Liquid state in room temperature.
What is the simplest form of 0.0115
23/200
Hope this helps! :)
Answer:
23/2000
Step-by-step explanation:
0.0115 can be written as 115/10000
=23/2000
Please mark me as brainliest.
Help! please don't just steal my pointss
Answer:
hi, option C is correct because it has a right angel. please give brainliest
HELP HELP HELP MATH I WILL GIVE U EXTRA POINTS⚠️⚠️⚠️⚠️⚠️
Find four consecutive integers with the sum of 2021
Answer:
503.75, 504.75, 505.75, 506.75
Step-by-step explanation:
x+(x+1)+(x+2)+(x+3)=2021
4x+6=2021
4x=2015
x=503.75
so it would be
503.75+504.75+505.75+506.75= 2021
The area of a rectangle is (4x2 − 49y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely.
Answer:
8x
Step-by-step explanation:
[tex](4x^{2} - 49y^{2} ) = (2x+7y)(2x-7y)[/tex]
Takes a word processor 20 minutes to spell check 6 pages, how long to check 27 pages
9514 1404 393
Answer:
90 minutes
Step-by-step explanation:
Assuming the time is proportional to the number of pages, you have ...
time/pages = 20/6 = T/27
Multiplying by 27 gives ...
T = 27(20/6) = 90
It is expected to take 90 minutes to check 27 pages.
Question 20 only plz and thanks
Which one of the following fractions is the largest? 3 /10 , 3 /2 , 1 /10 ,4/5, 10 /3 2 /3 , 10 /1 ,5 /4
Answer:
10/1 is the largest because 10÷1 = 10
Answer:
10/1 = 10 and is by far the biggest value in the list
Step-by-step explanation:
At the end of the day, a local bakery sold 83 cakes and had to throw out 7 cakes due to baking errors. Each cake cost the bakery $6.25 to make. The bakery, in turn, sold each cake for $12.75. What was the total profit earned by the bakery today?
Answer:
The total profit earned by the bakery today was of $495.75.
Step-by-step explanation:
Spending:
83 + 7 = 90 cakes made, each costing 6.25. So
[tex]S = 90*6.25 = 562.5[/tex]
Earnings:
83 cakes sold by $12.75, so:
[tex]E = 83*12.75 = 1058.25[/tex]
Profit:
Earnings subtracted by spending, so:
[tex]P = E - S = 1058.25 - 562.5 = 495.75[/tex]
The total profit earned by the bakery today was of $495.75.
Find the radius of the circle if the center is at (1, 2) and the point (-5, 6) lies on the circle.
On a coordinate plane, a circle has center point (1, 2). A point on the circle is at (negative 5, 6).
9514 1404 393
Answer:
2√13
Step-by-step explanation:
The distance between the center of the circle and a point on the circle is the radius. That distance is given by the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((-5 -1)² +(6 -2)²) = √(36 +16) = √52
d = 2√13
The radius of the circle is 2√13.
Simplify i need help
Answer:
c
Step-by-step explanation:
when we take the 5 inside the root the 5 vil be 5^2 times 2 which is equal to 50
A plumber charges $50 for the first visit plus $8 per hour of work. If the total bill is $290, how many hours did the plumber work?
30 hours
40 hours
80 hours
None of these choices are correct.
Answer:
Step-by-step explanation:
50 + 8x = 290
8x = 240
x = 30 hours
25/24 as a decimal rounded to nearest hundredth
Divide 25 by 24:
25 / 24 = 1.0416
The hundredth place is the second decimal place, because the third decimal place is less than 5, the hundredths place stays the same:
Answer: 1.04
7 is added to the product of 5 and 6
Answer:
37
Step-by-step explanation:
7 + (5×6)
= 7 + 30
= 37
.................
Answer:
37
Step-by-step explanation:
First Step: Multiply
5x6=30
Second Step: Add
30+7=37
Therefore your answer is 37
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
Barry and Robin walk to Dunkin' Donuts each Saturday to meet for coffee and donuts. Barry walks the 2 miles from his house in 30 minutes and Robin walks the 3 miles from his house in 36 minutes. Find the unit rate in minutes per mile for Barry. Find the unit rate in minutes per mile for Robin. Who walks faster, Barry or Robin
Answer : barry
12<15
Barry's unit rate is 15 minutes per mile and Robin's unit rate is 12 minutes per mile
The unit rates of Barry and RobinWe have:
Barry
Distance = 2 miles
Time = 30 minutes
Unit rate = Time/Distance
Unit rate = 30 minutes/2 miles
Unit rate = 15 minutes per mile
Robin
Distance = 3 miles
Time = 36 minutes
Unit rate = Time/Distance
Unit rate = 36 minutes/3 miles
Unit rate = 12 minutes per mile
Hence, Barry's unit rate is 15 minutes per mile and Robin's unit rate is 12 minutes per mile
Who walk faster?The unit rates mean that:
Barry covers 1 mile in 15 minutesRobin covers 1 mile in 12 minutesHence, Robin walks faster
Read more about unit rates at:https://brainly.com/question/19493296
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Finding the Coordinates of the Image On a coordinate plane, the center of dilation is at (0, 0). Triangle A B C is dilated to create triangle A prime A C prime. The points of A B C are (negative 3, 3), (negative 1, 1), and (negative 3, 1). The points of A prime A C prime are (negative 9, 9), (negative 3, 3), and (negative 9, 3). The dilation DO,3 (x, y) → (3x, 3y) is performed on the pre-image △ABC to make a similar triangle. Which statements are true? Check all that apply. ∠A corresponds to ∠A'. ∠A'AC' corresponds to ∠B. CB corresponds to C'A. Segment A'A is parallel to segment C'C. △ABC ~ △A'AC'.
Answer:
- A corresponds to A’
- A’AC’ corresponds to B
- CB corresponds to C’A
- ABC ~ A’AC’
Step-by-step explanation:
if 1 candian dollar is equivalent to 1.04 austrialian dollars what is the value if 4269 australian dollars in canadian currency?
Answer:
4104.807
Step-by-step explanation:
4269÷1.04
=4104.807
Answer:
4104.8
Step-by-step explanation:
To solve this problem, the easiest approach is to set up a proportion. Use the following general format;
[tex]\frac{currenncy_1}{currency_2}=\frac{balance_1}{balance_2}[/tex]
This will allow one to describe the relationship between the different currency values. Substitute in the given information and solve;
[tex]\frac{currenncy_1}{currency_2}=\frac{balance_1}{balance_2}[/tex]
[tex]\frac{canadian}{australian}=\frac{balance_1}{balance_2}[/tex]
[tex]\frac{1}{1.04}=\frac{x}{4269}[/tex]
Cross products,
[tex]\frac{1}{1.04}=\frac{x}{4269}[/tex]
[tex](1)(4269)=(1.04)(x)\\4269=1.04x[/tex]
Inverse operations,
[tex]4269=1.04x\\4104.8\approx x[/tex]
Rearrange 2x = y/w to make w the subject
Is −8 a solution to the equation 3x = 16 − 5x? How do you know?
a certain number n is 6 more than a second number and 9 less than a third number. in terms of n, which of the following expressions represents the second number
Answer:
n-6
Step-by-step explanation:
it is given that the first number is n
for the second number:
n is 6 more than a second number
more than means that we should subtract n by 6 to get the second number since n is 6 more than the second number
second number: n-6
why mathematics is the very important in a small business? is mathematics is helpful to you? explain
Answer:
Mathematics is very important in a small business is because when you make money transactions with other people you need to know how to count money correctly and your calculations can’t be wrong. When we sign up for jobs like police, or firefighter, we need to use math. Math helps us solve real-world problems.
Step-by-step explanation:
