Step-by-step explanation:
k(-5)= 6.(-5)+100
=30 + 100
=70
Answer:
70
Step-by-step explanation:
We can substitue -5 in for x:
k(-5) = 6(-5) + 100 = 70.
Tracy purchased a building for $209,350. The land appreciates about 4.5% each year. What is the value of the land after 15 years?
Answer:
Future Value = $405,151.38
----------
FV = PV * (1 + R) ^ N
FV = $209,350 (1.045) ^ 15 = $405,151.38
----------
PV = $209,350
R = 4.5%
N = 15 years
Step-by-step explanation:
I set a goal to drink 64 ounces of water a day. If I drink 3 1/10 ounces in the morning, 2 1/15 ounces at noon, and 6 5/20 ounces at dinner, how many more ounces of water do I have to drink to reach my goal for the day?
Answer:
You must drink 52 7/12 ounces or 52.58 ounces to reach the goal.
Step-by-step explanation:
Total amount of the water already drank is found by adding the fractions
So
3 1/10 ounces + 2 1/15 ounces + 6 5/20
Converting into improper fractions
31/10 + 31/15+ 125/20
Now finding the lcm of 10,15,20
so Factors of 10 = 2 x 5
Factors of 15 = 5 x 3
Factors of 20 = 2 x2 x5
LCM= 5x2x2x3= 60
31*6/60 + 31*4/60 + 125*3/60
= 186+124+375/60
= 685/60 = 11.42 ounces
The amount of water already drank is 11.42 ounces
The amount remaining is found by subtracting the amount drank from the total amount
so
64 ounces - 11.42= 52.58
It can be solved in fractions as
64- 11 5/12
Again taking making improper fraction and taking lcm
64- 137/12
= 768-137/12 = 631/12= 52 7/12 ounces
Two trains leave stations 342 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour while the other travels at 85 miles per hour. How long will it take for the two trains to meet?Do not do any rounding.
Answer:
1.8 hours.
Step-by-step explanation:
It is important to note that:
Speed = Distance ÷ Time
We have two trains.
Step 1
We have to find the distance that each train travelled.
Since Speed = Distance ÷ Time
Distance = Speed × Time
First train
It travels at 105 miles per hour
Distance travelled by first train =
105 × x hours
= 105x miles
Second Train
It travels at 85 miles per hour
Distance travelled by the second train = 85 miles × x hours
= 85x miles
We are told that: the two trains leave stations 342 miles apart at the same time and travel toward each other
Hence, the time it would take each train to meet each other is calculated as:
105x + 85x = 342 miles
190x = 342 miles
x = 342/190
x = 1.8 hours.
The total cost to repair Deborah's computer is repersented by0.08(50h)+50h, where h represents the number of hours it takes to repair the cmputer. What part of the expression repesents the amount of tax Deborah has to pay. Explain
Answer:
0.08(50h)
Step-by-step explanation:
The amount of tax payable over a particular object or goods is always represented as a particular percentage of the total cost of buying or repairing an object.
From the above question we are given the expression,
0.08(50h) + 50h = Total amount Deborah is paying to repair her computer
Note that: Total amount payable by Deborah = Cost (Price or amount) of fixing the computer + Tax
h = number of hours required to repair the computer.
Hence, the Cost (amount) to repair the computer = 50 × h = 50h
In the expression, we have
0.08(50h) = 8% of 50h
Tax is always represented as percentage of the cost of fixing the computer
Hence, 0.08 or 8% of 50 h equal to = 0.08(50h) = The tax Deborah is paying.
Therefore, the expression repesents the amount of tax Deborah has to pay is 0.08(50h)
The circumference of a circle is 11π inches. What is the area, in square inches, of the circle? Express your answer in terms of π. a 32.25 π b 95.03 π c 30.25 π d 17.27 π
Answer:
30.25 pi
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
11 pi = 2 * pi *r
divide each side by 2 pi
11/2 = 2 ( pi) * r/ ( 2pi)
11/2 = r
We can find the area by
A = pi * r^2
= pi ( 11/2) ^2
= pi ( 121/4)
= pi ( 121/4)
= 30.25 pi
Answer:
[tex]\Huge \boxed{30.25 \pi}[/tex]
Step-by-step explanation:
The circumference of a circle formula is:
[tex]C= \pi d[/tex]
The circumference is given, solve for d.
[tex]11\pi=\pi d[/tex]
Cancel [tex]\pi[/tex] from both sides.
[tex]11=d[/tex]
The radius is half the measure of the diameter.
[tex]\displaystyle r=\frac{11}{2} =5.5[/tex]
The area of a circle formula is:
[tex]A=\pi r^2[/tex]
Let r = 5.5, solve for the area.
[tex]A=\pi (5.5)^2[/tex]
[tex]A=\pi (30.25)=30.25\pi[/tex]
questions on the picture
Answer:
x^1/4
Step-by-step explanation:
[tex]\frac{x^{\frac{1}{2}}}{x^{\frac{1}{4}}}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{x^{\frac{1}{2}}}{x^{\frac{1}{4}}}=x^{\frac{1}{2}-\frac{1}{4}}\\\\\mathrm{Simplify}\:x^{\frac{1}{2}-\frac{1}{4}}:\\\\\quad x^{\frac{1}{4}}[/tex]
There are 10 playing cards in a bag. 7 of those cards are spades.
What is the probability of picking a spade randomly from the bag?
Answer:
P(spades) = 7/10
Step-by-step explanation:
there are 10 different cards that can be picked, out of which what we want to pick is spades which are 7. and so there are 7 chances that we will get to pick spades out of all the 10 possibilities. hope it is easy to understand
Evaluate................. (-7)²
Answer:
49
Step-by-step explanation:
(-7)² = (-7)(-7) = 49
A car travels for 10 minutes
at 30 km/h and then for
20 minutes at 45 km/h. What is the average speed for the whole journey
Answer:
40 km/h
Step-by-step explanation:
s = ut where s - Distance
u - Speed
t - Time
when t = 10 min
= 10/60 hours
S1 = 30 * 10/60
= 5km
when t= 20 min
= 20/60 hours
S2 = 45 *20/60
= 15 km
Then total distance = S1 + S2
= 5 + 15
= 20 km
Total time period = (10 + 20 ) / 60 hours
= 1/2 hours
Then average speed = U
S = UT
U = S/ T
= 20/ 0.5 km/ h
= 40 km/ h
Which statement best describes the relationship between storage space and number of music files?
Answer:
As the number of files increases, the storage space used increases.
Answer:D
Step-by-step explanation:
Which of the following are true?
Answer: c).
Both options are true. You can see that the whiskers of data set 2 (The lines extending on either side of the box plots) represent a much larger range of data than data set 1, and that the median in data set 2 (the line down the middle of the boxes) is greater than data set 1.
Hope this helps!
From a point on the ground the angles of elevation of the bottom and top of a tower fixed at the top of a 20m high building are 45 degree and 60 degree respectively. Find the height of the tower.
hope you understand..................................................................
Which of the following illustrates the truth value of the given mathematical statements? 6 + 3 = 9, and 4 • 4 = 16 T T → T T F → F F T → F F F → F
Answer:
TT→T
Step-by-step explanation:
6 + 3 = 9
4 • 4 = 16
TT→T both equation are true
A biased coin is tossed 4 times. The probability of heads on any toss is 0.4. Let X denote the number of heads that come up. Calculate: (i) ( ≤ 2) (ii) (1 ≤ ≤ 3)
Answer:
0.8208 ; 0.8448
Step-by-step explanation:
Given the following :
Number of tosses = 4
Probability of head on any toss :
P(head) = 0.4
Therefore ;
(1 - p(head)) = (1 - 0.4) = 0.6
Binomial probability :
P(X) = nCx * P^x * (1 - P) ^(n-x)
Where:
n = number of trials ; x = number of success ; P = probability of success.
P(X≤2) = P(0) + P(1) + p(2)
using binomial probability calculator to ensure faster computation:
P(X≤2) = 0.1296 + 0.3456 + 0. 3456
= 0.8208
B)
P(1 ≤ X ≤ 3) = P(1) + P(2) + P(3)
P(1 ≤ X ≤ 3) = 0.3456 + 0.3456 + 0.1536
= 0.8448
3.2k - 4.3 = 12.6k + 14.5
Answer:
k = -2
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
3.2k - 4.3 = 12.6k + 14.5
Step 2: Subtract 3.2k on both sides
-4.3 = 9.4k + 14.5
Step 3: Subtract 14.5 on both sides
-18.8 = 9.4k
Step 4: Divide both sides by 9.4
k = -2
what is 5.19615242 rounded to
Find the number in the tenth place 1 and look one place to the right for the rounding digit 9 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
5.2
Which statement is true about the sum of two rational numbers? It can always be written as a fraction. It can never be written as a fraction. It can always be written as a repeating decimal. It can never be written a terminating decimal. ?
Answer:
It can always be written as a fraction.
Step-by-step explanation:
The importance of this question is to differentiate rational and irrational numbers.
Rational numbers can be written as a ratio, hence a fraction, or a repeating or terminating decimal.
Irrational numbers cannot be written as a ratio and will not have a terminating or repeating decimal.
So the first statement is true since the sum of two rational numbers will be rational.
The second statement is false since the sum of two rational numbers can absolutely be represented by a fractional ratio.
The third statement is false since the sum of two rational numbers is not always a repeating decimal.
The fourth statement is false since the sum of two rational numbers could be written as a terminating decimal.
Cheers.
I agree with the other person's response. The sum is always rational (it can always be written as a fraction of integers)
----------------
Here's a proof:
Let x and y be two rational numbers. This means
x = a/b
y = c/d
where a,b,c,d are integers. The denominators b and d cannot be 0.
----------------
Let's add x and y, then simplify
x+y = (a/b) + (c/d)
x+y = (ad/bd) + (bc/bd)
x+y = (ad+bc)/(bd)
This last expression is in the form p/q
p = ad+bc is an integer
q = bd is also an integer
we have a ratio or fraction of integers, therefore x+y is also rational
How do you graph y = √ 5 - x?
Answer:
How to graph y=√5 -x is shown in attachment
Step-by-step explanation:
Answer:
see attached
Step-by-step explanation:
As with any sort of graphing problem, pick values of x and compute the corresponding value of y. Then plot those (x, y) points.
For something like this, it is convenient to choose y and then compute the value of x that goes with it.
y = 0 = √(5 -x) ⇒ x = 5 -0² = 5
y = 1 = √(5 -x) ⇒ x = 5 -1² = 4
y = 2 = √(5 -x) ⇒ x = 5 -2² = 1
y = 3 = √(5 -x) ⇒ x = 5 -3² = -4
Once you have plotted the points, draw a smooth curve through them.
So solve the following - 8 by 50 divided by 4 by 5
Answer:
20
Step-by-step explanation:
8*50=400 /4*5=20
400/20=20
Answer: -20
Step-by-step explanation:
-8 by 50 ÷ 4 by 5
-8 × 50 ÷ 4 × 5
[tex]\dfrac{-8\times 50}{4\times 5}\\\\\\=\dfrac{-2\times 10}{1\times 1}\\\\\\=\large\boxed{-20}[/tex]
The midpoint of JK is M(5, 6). One endpoint is J(7, 7). Find the coordinates of the other
endpoint K.
Write the coordinates as decimals or integers.
K=
= (+,)
Answer:
K(3, 5)
Step-by-step explanation:
let K(x, y)
then x + 7 = 5*2 and y + 7 = 6*2 by the midpoint theorem.
solving, x = 3, y = 5
Define square root. Give an example.
Answer:
A square root of a number is a value that, when multiplied by itself, gives the number.
Example: 4 × 4 = 16, so a square root of 16 is 4.
The symbol for a square root is √ which always means the positive square root.
Example: √36 = 6 (because 6 x 6 = 36)
in each question,first make an inequality, then solve the inequality
1) A rectangle is 8cm long and b cm broad.find the range of values of b if the perimeter of the rectangle is not greater than 50 cm and not less than 18cm
2) the sides of a triangle are x cm,x+3 cm, find the lowest value of x.
Answer:
a) The perimeter of a rectangle is written as:
P = 2*L + 2*W
where L is the length amd W is the width (broad in this case).
here we have:
L = 8cm and W = b
then the perimeter is:
P = 2*8cm + 2*b
And we know that:
18cm ≤ P ≤ 50cm
where ≤ is used because there is written "not more" and "not less", so the equalities are allowed
now we can replace P by the above equation:
18cm ≤ 16cm + 2*b ≤ 50cm
now we can subtract 16cm in each side and get:
18cm - 16cm ≤ 2*b ≤ 50cm - 16cm
2cm ≤ 2*b ≤ 34cm
Now we can divide each side by 2.
1cm ≤ b ≤ 34cm/2 = 17cm
1cm ≤ b ≤ 17cm.
b) Here we have missing information, so this can not be answered.
(only knowing that one side length is x, and another side length is x + 3cm, we can know that x > 0cm, so the minimum value of x is really close to 0cm)
PLS help :) Which of the following qualities does not describe a line? Select all that apply.
1.has no width
2.imaginary
3.curved
4.has two endpoints
5.endless
Answer:
Hi there!
Step-by-step explanation:
In my opinion, the answer should be 1 (and maybe 4)
We can tell 1)has no width is the answer because the lines the one dimensional.
So the answer has to be number 1.
And...
Number 4 might also be correct because that would be a line segment (which goes on in both directions)
********************************************
So your answer should be letter 1 (also it might be letter 4 too, but I am not that sure)
Hope this helps!
~Have a great day!~
If you have any questions feel free to ask! :)
8+ Z8 = 0
What’s the answer
Answer:
z = -1
Step-by-step explanation:
0 = 8z + 8
-8 = 8z
-8/8 = z
z = -1
check:
0 = 8*-1 + 8
0 = -8 + 8
Find the output (y) of the function y=6x+4 if the input (x) is 2
Answer:
f(2) = 16
or
y = 16
Step-by-step explanation:
Step 1: Write out function
y = 6x + 4
Step 2: Define variable for problem
x = 2
Step 3: Plug into function f(x)
f(2) = 6(2) + 4
f(2) = 12 + 4
f(2) = 16
Step 4: Change f(2) to y
y = 16
find the first three terms of this sequence tn=4n²+2
Answer:
Step-by-step explanation:
finding the first term by putting n=1
t(1)=4.[tex](1)^{2}[/tex] +2 = 4.1 +2 = 4+2 = 6
finding the second term by putting n=2
t(2)=4.[tex](2)^{2}[/tex] +2 = 4.4 +2 = 16+2 = 18
finding the third term by putting n=3
t(3)=4.[tex](3)^{2}[/tex] +2 = 4.9 +2 = 36+2 = 38
hence first three terms are:
6,18,38,......,4[tex]n^{2}[/tex] +2
subtract 9 hours 45 minutes from 12 hours 30 minutes
2 hours 45 minutes
Step-by-step explanation:12h30m - 9h45m =
= (12×60m + 30m) - (9×60m + 45m)
= 750m - 585m
= 165 minutes
= 120m + 45m
= 2 hours 45 minutes
If the streets of a city are straight lines and the intersections are points, show how Principle 2 and Principle 3 might be illustrated -(plane geometry Abeka second edition)
Step-by-step explanation:
In the plane geometry Abeka, second edition, it is given :
Principle 2 states that between any two points, only one straight line can be drawn.
And according to principle 3 two straight lines interacts at one point only.
Thus this can be well illustrated by two straight lines which are represented by the streets of a city and these two streets intersects at a point.
Leslie decides to join a gym. She must pay a monthly fee plus a one-time fee to open a membership. This situation can be modeled by the expression 55x + 50. Explain how each number and letter in the expression relates to the problem.
Answer:
see below (I hope this helps!)
Step-by-step explanation:
The x seems to represent the number of months that Leslie has joined the gym for. When x = 0 (basically when she hasn't started using her membership), she pays 55(0) + 50 = $50 so we know that the 50 represents the one-time fee. The only thing missing is the monthly fee and since we haven't defined what the 55 means, we can conclude that the 55 represents the monthly fee. This makes sense because 55x is simply 55 times x, and since x is the number of months, 55 times that would be how much Leslie pays per month, otherwise known as the monthly fee.
Answer 55.1
Yeah boyyy
the inverse of the function graphed blow is a function A. true B. false
Answer:
A
Step-by-step explanation:
true true true true true true
Answer:
False
Step-by-step explanation:
In order to tell if an inverse is a function, you have to do the horizontal line test. Create an imaginary line going horizontally on the map and if the graphed function goes through more than one line, then the inverse won't be a function. There can only be one point going through the imaginary line. Does that make sense?