Answer:
c = 1, f = 5, and r = 1
Step-by-step explanation:
5(1)/(5) = 1/(1)
5/5 = 1/1
1 = 1
Step-by-step explanation:
5c = 1
f r
solving for r
5rc = f
r = f
5c
solving for c
if r = f
5c
5rc = f
c = f
5r
solving for f
f = 5cr
15. An electric can opener is worth 38 dollars when it is new. After each year it is worth half what it was the
previous year. What will its worth be after 4 years? Round your answer to the nearest cent.
$4.19
$4.75
b. $1.19
d. $2.38
a.
c.
Answer: d. $2.38
Step-by-step explanation:
Exponential decay function: [tex]Ab^x[/tex], where A = initial value
x= Time mperiod
b = multiplicative decay rate
As per given, we have
A = 38 dollars
b= 0.5
Amount after x years : [tex]38(0.5)^x[/tex]
Then, at x= 4
Amount after 4 years : [tex]38(0.5)^4=38(0.0625)[/tex]
[tex]=2.375\approx2.38[/tex]
Hence, the worth of electric can opener after 4 years = $2.38.
So, correct option is d. $2.38
6.12)
Jennifer had some money in her
pocket. She spent $1.35, which left
her with $2.30. Which equation could
Jennifer use to find m, the original
amount of money she had in her
pocket?
A m + 2.30 = 1.35
B m - 1.35 = 2.30
C 2.30 = 1.35 – m
D m = 2.30 x 1.35
Answer:
B
Step-by-step explanation:
m-1.35=2.30
you would add -1.35 to the other side
so then you have
m=3.65
which is how much money she had to begin with
Answer:
B
Step-by-step explanation:
m - 1.35 = 2.30
Trig With Picture ASAP
Answer:
18
Step-by-step explanation:
V=a^3
a=∛1000=10
volume=1000 cm^3=10*10*10
one side =10 cm
to find the measure of AB (the diagonal)=10√3 =17.32
the smallest dispenser has to be greater than 17.32
the smallest amount is 18
The population of a large city can be calculated using the function . What can you say about the rate of change from year 1 to year 2 compared to the rate of change from year 9 to year 10
Answer:
The rate of change will be the same for all years.
Step-by-step explanation:
As it is mentioned in the question, that the rate of change is 7%.
And as we know that
= I (1 + R)^T
where
I = Initial amount
R = Rate of growth,
And T = Time.
So in the given case, the rate is 0.07, or 7% while on the other hand the growth RATE remains constant and the growing amount would be increased each year.
Therefore the rate of change would be the same for all the year
Can someone please help me I really need help please help me thank you
Answer:
D. 2
Step-by-step explanation:
The rate of change is also considered the slope in graph form.
In the first chart every time the t-value goes up twice the c-value goes up four times.
The same can be said for the graph on the bottom.
In the picture down below
Work Shown:
The idea is that you replace f(x) with y, swap x and y, then solve for y to get the inverse.
[tex]f(x) = \frac{3x-2}{6}\\\\y = \frac{3x-2}{6}\\\\x = \frac{3y-2}{6}\\\\6x = 3y-2\\\\3y-2 = 6x\\\\3y = 6x+2\\\\y = \frac{6x+2}{3}\\\\f^{-1}(x) = \frac{6x+2}{3}\\\\[/tex]
y
10,6)
(-a, 0)
(0,0)
(a 0)
(0-5)
What is the perimeter of the polygon in the diagram?
Answer:
I think its O-5 I am not sure
24 athletes threw the shot put at a track and field meet. If this was 15/100 of all the athletes in the meet, how many athletes competed in the meet total?
Answer:
160 athletes
Step-by-step explanation:
Let the total number of athletes in the meet be x
Given that 24 athletes who threw the shot put at a track and field meet are 15/100 of all the athletes in the meet .
If we write this in mathematical algebraic expression
15/100 of all the athletes in the meet = 24
15/100 * x = 24
=> x = 24*100/15 = 24*100/3*5 = 160
Thus, 160 athletes competed in the meet.
If f is a function such that [tex]\lim_{x \to a} \frac{f(x)-f(a)}{x-a} =5[/tex], then which of the following statements must be true? A) f(a) = 5 B) The slope of the tangent line to the function at x = a is 5. C) The slope of the secant line through the function at x = a is 5. D) The linear approximation for f(x) at x = a is y = 5
Answer:
Option D). is correct choice.
Step-by-step explanation:
The linear approximation for f(x) at x = a is y = 5
Best Regards!
Click Submit.
Which unit of measure would be appropriate for the area of a picture that is 20
centimeters tall and 15 centimeters wide?
O A. Meters
OB. Square centimeters
O C. Cubic centimeters
O D. Centimeters
ons
Answer:
Square centimeters
Step-by-step explanation:
As the area of the picture is 300 cm², Square centimeters are the appropriate unit for measuring the area of the picture.
please mark me brainliest!
what point lies on y-2=5(x-6)
Answer: (0, -28)
Step-by-step explanation:
Turn this equation into slope-intercept form.
y-2=5x-30
y=5x-28.
Because the y-intercept is -28, the point (0,-28) must be on the line.
Hope it helps <3
good morning :) The train to Sun City travels 150 miles per hour. How long will a trip take if Sun City is 525 miles away? A. 4 hours B. 3 hours 30 minutes C. 3 hours 15 minutes D. 3 hours
Answer: B. 3 hours 30 minutes
Step-by-step explanation:
Time = Distance / Speed
Time = 525 / 150
Time = 3.5
ILL MARK BRAINLIEST In independent random samples of 10 men and 10 women in a coed basketball league, the numbers of points scored per season are given by the back-to-back stemplot below:
Part A: Describe the shape of each data set.
Part B: Michaela analyzed the data and stated that the better measure of center for the women is the mean. Is Michaela correct? Explain your reasoning.
Part C: Michaela decided there are no outliers in the women's data set. Is she correct? Justify your answer mathematically.
Answer:
Step-by-step explanation:
Hello!
a)
To compare both datasets I've made a box plot for them.
The yellow one belongs to the points scored by the men and the green one is for the points scored by the women.
Women: The box seems symmetrical, the median and the mean (black square) are almost the same. The whiskers are almost the same length, you could say that in general the points scored by the women have a symmetrical distribution.
Men: The box looks a little skewed to the right, the median is closer to the 1st quantile and the mean is greater than the median. The whiskers are the same length, in general the distribution seems almost symmetrical.
b)
As you can see in the box plot the median and mean of the points scored by the women are almost the same. Using the data I've calculated both values:
Me= 24.50
X[bar]= 23.80
The median divides the sample in halves (50-50), it shows you where the middle of the distribution is.
The average shows you the value that centers the distribution, meaning, it is the value around which you'll find most of the data set. It summarizes best the sample information and therefore is a better measure of center.
c.
As you can see in the box plots, there are no outliers in both distributions.
An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.
Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:
X < Q₁ - 1.5 IQR
X > Q₃ + 1.5 IQR
Or extreme outliers if:
X < Q₁ - 3 IQR
X > Q₃ + 3 IQR
For the women data set:
Q₁= 17; Q₃= 30; IQR= 30 - 17= 13
Lower outliers: X < Q₁ - 1.5 IQR= 17-1.5*13= -2.5 ⇒ The minimum value recorded is 03, so there are no outliers.
Upper outliers: X > Q₃ + 3 IQR= 30 + 1.5*13= 49.5 ⇒ The maximum value registered is 41, so there are no outliers.
I hope this helps!
Highlands
Analyze the dot plots. What is the approximate
difference between the means of the two data sets to
the nearest whole number?
mm
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
Rainfall (mm)
Lowlands
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
Rainfall (mm)
Answer:
3 mm
Step-by-step explanation:
Circle C is inscribed in triangle QSU. Circle C is inscribed in triangle Q S U. Points R, T, and V of the circle are on the sides of the triangle. Point R is on side Q S, point T is on side S U, and point V is on side Q U. The length of Q R is 10, the length of R S is 2 x, the length of S T is x + 3, and the length of T U is 4. What is the perimeter of triangle QSU? 3 units 16 units 30 units 40 units
Answer:
I can confirm the answer is:
D. 40 units
Step-by-step explanation:
I just took the test on edge and got it right!
The perimeter of the Δ QSU is given as 40 units. (Option D). See explanation below.
What is the perimeter of Δ QSU?We can derive the perimeter by stating:
2x = x + 3 ⇒ x = 3
This is because Δ RSC ≅ Δ TSC
RS = 2 x 3 = 6 = ST
This is because ΔQRC ≅ ΔQVC
TV = VU = 4; we know this because
ΔCVU ≅ Δ CTU
Thus
QR = QV = 10
CΔQSU = 10 + 6 + 10 +14
= 40 Units.
Learn more about perimeter of triangles at:
https://brainly.com/question/24382052
#SPJ9
write the unit digit of denominator of (x+y)*z where x = -4/3 y =1/2 z= -7/5 plz help
Answer:
6
Step-by-step explanation:
(x+y)*z= (-4/3+1/2)*(-7/5)= -5/6* (-7/5)= 35/30=7/6
Denominator is 6.
Hello, a Maths question if anyone knows what to do Solve: 6(x+4)=30
Answer:
x = 1
Step-by-step explanation:
6(x+4)=30 (divide both sides by 6)
(x+4) = 30/6
x+4 = 5 (subtract 4 from both sides)
x = 5 - 4
x = 1
Step-by-step explanation: 6(x+4)=30
(Distributive property): 6x+24=30
( Transposition method): 6x=30-24( + becomes -) 6x=6
(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1
2 Points
For this graph, mark the statements that are true.
A. The Range is set of all real numbers
B. The Range is the set of real numbers greater than or equal to zero
C. The domain is the set of all real numbers
D. The domain is the set of all real numbers greater than equal to zero
Answer:
B. The Range is the set of real numbers greater than or equal to zero
C. The Domain is the set of all real numbers .
Step-by-step explanation:
The Domain is the set of real numbers for which the function is defined. In this case, the Domain is the set of all real numbers .
The Range is the set of real numbers that are connected to the elements of the domain. In this case, you see that only real numbers above (or in the) x-axis are connected to the x-values of the domain. Then another answer to check is;
B. The Range is the set of real numbers greater than or equal to zero.
que son los angulos adyacentes
Answer:Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
Step-by-step explanation:
Asap Help please THANK YOU!!
Answer:
≈451.37 cm³
Step-by-step explanation:
Since the diameter of the can is 6, the radius is 3.
Old can height: 12
Old can base radius: 3
Old can volume: 339.12 cm³
New can height: 12×1.1=13.2
New can base radius: 3×1.1=3.3
New can volume: 13.2×3.14×3.3²=13.2×3.14×10.89=451.36872 cm³
The Marauders foosball team is improving with each game. The first game they scored no points, but the second game they scored some goals. In their third game they scored 8 more points than the second. Now in their last game they scored three times as many points as their third. Altogether they scored 117 points!!! How many points did the Marauders score in the third game?
Answer:
25 points.
Step-by-step explanation:
In the second game, you can say the Foosball team scored x points.
In their third game, they would have scored x points, plus 8.
In the last game, they would have scored x points, plus 8, then multiply the WHOLE THING by 3.
We would get the following equation...
x + (x + 8) + 3(x + 8) = 117
x + x + 3x + 8 + 24 = 117
5x + 32 = 117
5x = 85
x = 17
So, the Marauders scored 0 points in the first game. In the second game, they scored 17 points. In the third, they scored 17 + 8 = 25 points. In the last, they scored 25 * 3 = 75 points. Altogether, that's 117 points!!
Hope this helps!
Answer:
.
Step-by-step explanation:
Rectangle A has a width of 3 inches and a length of 5 inches. Part A Rectangle A has the same perimeter as Rectangle B. If its width is 4 inches, what is its length? Enter your answer in the box. Rectangle B has a width of 4 inches and a length of inches
Answer:
Rectangle B has a length of 4 inches.
Step-by-step explanation:
Rectangle A has a width of 3 inches and a length of 5 inches.
Let us find its perimeter:
Perimeter = 2(L + W)
where L = length
W = width
Its perimeter is therefore:
P = 2(5 + 3)
P = 2 * 8 = 16 inches
Rectangle B has the same perimeter as Rectangle A. Let us find the length of B.
Its width is 4 inches, therefore, perimeter is:
P = 2(L + W)
16 = 2(L + 4)
16 = 2L + 8
16 - 8 = 2L
8 = 2L
=> L = 8 / 2 = 4 inches
Rectangle B has a length of 4 inches.
Trevor drew lines of best fit for two scatter plots, as shown. Which statement describes the placement of the lines Trevor drew?
Answer:
A)Only Line A is well placed line of best fit
Step-by-step explanation:
Best fit line :A line through a scatter plot of data points that best expresses the relationship between those points is called best fit line
The least-squares method provides the closest relationship between the dependent and independent variables by minimizing the distance between the residuals and the line of best fit
By considering both the given graphs
We can see that Line A gives the minimum distance between residuals and line of best fit whereas Line B does not give the minimum distance between residuals and line of best fit
So,Option A is true
A)Only Line A is well placed line of best fit
Answer: a) only line A is a well placed line of best fit
Step-by-step explanation:
A drawer contains a dozen each of red, blue, green, and white socks, all unmatched. Laura takes socks out at random in the dark. How many socks must Laura take out to be sure she has two pairs of white socks?
Answer:
8
Step-by-step explanation:
The probability of picking out a certain colour = 12/48 = 1/4
So, this means that every 4 socks you pick out you can be sure of having one of each colour. If you need to find a pair, then you pick out 8.
Hope this helps
can someone help me answer this
Answer:
x = 80°
Step-by-step explanation:
x = 180 - ( 129 + 71 ) / 2
Thanks!
V2 is in between what two numbers??
Answer:
sqrt of 2 is between 1 and 2
The square root of 2 is in between the square of one and the square of 2.
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y-4=‐2/3(x-6) and passes through the point (-2, -2)?
y=-x-10
y=-2x19
y=x-1
y=x+1
Answer:
y=3/2x+1
Step-by-step explanation:
y-4= -⅔(x-6)
y-4=-⅔x+4
y=-⅔x+4+4
(equation of line 1) y= -⅔x+8 gradient= -⅔
(line 2)gradient=3/2
note* the gradients of perpendicular lines multiplied result to -1
gradient=y²-y²
x²-x¹
3 =y+2
2. x+2
multiply both sides by 2(x+2)to remove the denominators
3(x+2)=2(y+2)
3x+6=2y+4
3x+6-4=2y
3x+2=2y
divide all sides by 2
3/2x+1=y
y=3/2x+1
8 Use prime factorization to find the LCM of 20 and 44,
O 64
0 220
880
Answer:
Th answer is 220
Step-by-step explanation:
If Milly has 29924827134702 candies and she gave 928439 to BOB then he gave 1000 back to Milly How much does both Milly and BoB have?
Answer:
"BOB" gave back 1000 that would be 928439 - 1000 = 927439(BOB has)
"BOB" gave back 1000 to Milly.. 29924827134702 + 1000 = 2.9924827(MILLY has)
Step-by-step explanation:
well, first, if "BOB" gave back 1000 that would be 928439 - 1000 = 927439, so "BOB" now has 27439. and now, "BOB" gave back 1000 to Milly sooo now it is 29924827134702 + 1000 = 2.9924827 (e+13) soooo ya thats it
hope this helped LOL
Express - 64 by 112 as a rational number with denominator 7 .plz answer fast so l will follow you .
Answer:
-4/7
Step-by-step explanation:
When we simplify the fraction -64/112, we get -4/7.
Answer:
-4/7
Step-by-step explanation:
-64/112 is already a rational number.
Simplify the fraction.
= -4/7