Step-by-step explanation:
answer is d because in d it is not given a fixed value so d is the answer
#Dhruv hereAnswer: B and D
Step-by-step explanation:
I'm gonna say be because "The highest temperature over three days." has a variable of days. Also D because how much the car weighs can be changed.
The length of a track cant really be changed and 5 feet tall is given.
Evaluate the following expressions. Let a = 5, b = -4, and c = 10.
12. ab =
13. b + c =
14. c/5 =
15. C - 5 =
Answer: -20, 6, 2, 5
Step-by-step explanation:
a = 5, b = -4, c = 10
12. ab = 5(-4) = -20
13. b + c = -4 + 10 = 6
14. c/5 = 10/5 = 2
15. c - 5 = 10 - 5 = 5
Show that 4^(x+2)+4^(x+1)+4^x is divisible by 7 for all positive integers of x.
Answer:
Below.
Step-by-step explanation:
4^(x+2)+4^(x+1)+4^x
= 4^x*4^2 + 4^x*4 + 4^4
= 4^x(16 + 4 + 1)
= 21*4^x.
As 21 is divisible by 7, 21*4^x is also divisible by 7 for all positive integers of x.
Thus the original expression must be also divisible by 7 for all positive integers of x.
Frogs are released into a pond where there are no other frogs of this species. The
function f(t) can be used to model the population of this new species after t years.
Below are 4 forms of the function that model this situation. Which form most clearly
shows the monthly population growth?
Answer:
[tex]f(t)=12(1.0139)^{12t}[/tex]
Step-by-step explanation:
Let the initial number of frogs = 12
And their population is growing with the annual growth rate = 16.68% per year
Function modeling the population after 't' years will be,
[tex]P(t)=12(1+r)^{t}[/tex]
Here, r = Annual growth rate
t = Number of years
If we convert the annual growth rate to monthly growth rate,
Expression modeling the population will be,
[tex]f(t)=12(1+\frac{r}{12})^{12t}[/tex]
[tex]=12(1+\frac{16.68}{12})^{12t}[/tex]
[tex]=12(1.0139)^{12t}[/tex]
Therefore, [tex]f(t)=12(1.0139)^{12t}[/tex] will be the answer.
I need help with this I don't understand
Answer:
Sin ? = 4/7
? = arcSin (4/7)
? = 35° (rounded to the nearest degree)
So the answer is 35°
Answered by GAUTHMATH
can someone answer this
Answer:sadwer
Step-by-step explanation:
160 pupils in a sports centre are surveyed. The pupils can only use the swimming pool, the gym and the tennis courts. 21 pupils use the swimming pool, the gym and the tennis courts. 55 pupils use the swimming pool and the gym. 48 pupils use the gym and the tennis courts. 40 pupils use the tennis courts and the swimming pool. 11 pupils use the swimming pool only. 7 pupils use the gym only. 35 pupils use the tennis courts only. Find the probability to select a pupil that uses the tennis courts.
Answer:
0.6375 = 63.75% probability to select a pupil that uses the tennis courts.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Total:
In total, there are 160 pupils.
Uses the tennis courts:
21 pupils use the swimming pool, the gym and the tennis courts.
48 pupils use the gym and the tennis courts, which adds 48 - 21 = 27 to the number of those who use the tennis courts.
40 pupils use the tennis courts and the swimming pool, which adds 40 - 21 = 19 to the number of those who use the tennis courts.
35 use the tennis courts only.
So
21 + 27 + 19 + 35 = 102 use the tennis courts.
Find the probability to select a pupil that uses the tennis courts.
102 out of 160, so:
[tex]p = \frac{102}{160} = 0.6375[/tex]
0.6375 = 63.75% probability to select a pupil that uses the tennis courts.
The probability that Sara wins a raffle is given by the expression n/n+3
Write down an expression, in the form of a combined single fraction, for the probability that Sara does not win.
Answer:
3/(n + 3)
Step-by-step explanation:
The given probability that Sara wins a raffle draw, P = n/(n + 3)
Given that the sum of all probabilities is 1, we get
The probability that Sara does not win, Q = 1 - P
Therefore;
Q = 1 - n/(n + 3) = (n + 3) - n/((n + 3) = 3/(n + 3)
The probability that Sara does not win, Q = 3/(n + 3)
Solve the system of equations using the substitution method.
y = 5x
7x + 2y = -17
(x, y) = ( , )
PLSSS HELP
Answer:
1. = 5 10 15 20 25
2. 2 4 6 8 10 12 14
X, y =10
WHICH ONE IS A UNIT RATE?
And why
$1.25
1 slice
$10.00
8 slices
Answer:
$1.25 for one slice is the uint rate is the measure B
Step-by-step explanation:
3. Simplify the expression 5a - 4b - 2[a - (2b + c)]
Answer:
[tex]{ \tt{5a - 4b - 2{ (a - (2b + c))}}} \\ = { \tt{5a - 4b - 2a + 4b - 2c}} \\ { \tt{ = (5 - 2)a + ( - 4 + 4)b - 2c}} \\ { \tt{ = 3a - 2c}}[/tex]
Answer:
Step-by-step explanation:
5a - 4b -2[a - 2b + c] = 5a - 4b -2a + 4b - 2c {Distributive property}
= (5a - 2a) + (4b - 4b) - 2c {Group like terms}
= 3a - 2c
F(x)=4^x+12x and g(x) = 5x-1 find (f+g)(x)
Answer:
[tex](f+g)(x)=f(x)+g(x)=4^{x} +12x+5x-1=4^{x}+17x-1[/tex]
Answer:
4^x +17x -1
Step-by-step explanation:
F(x)=4^x+12x
g(x) = 5x-1
(f+g)(x)= 4^x +12x + 5x-1
Combine like terms
= 4^x +17x -1
F(x)=-3x^2+4x+4
G(x)=x(-7x-7)
Which expression is equal to f(x)+g(x)
Answer:
A
Step-by-step explanation:
f(x)+g(x)=-3x^2+4x+4+x(-7x-7)= -3x^2+4x+4 -7^2-7x
= -10x^2-3x+4
find the value of 2/5 - 3
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
[tex]\sf{\dfrac{2}{5}-3 }[/tex] [tex]\sf{\dfrac{2-10}{5} }[/tex] [tex]\sf{\dfrac{-8}{5} }[/tex][tex]\sf{ }[/tex]
Find the value of x if log636 = x.
Answer:
assuming that this is your question
[tex]log_{6} 36 = x[/tex]
[tex]6^{x} = 36[/tex]
x = 2
Note: your actual question log 636
is actually [tex]log_{10} 636 = x[/tex]
[tex]10^{x} = 636[/tex]
x = 2.803 (i am sure that tis not the question in your homework)
Step-by-step explanation:
Which is the graph of f(x) = 3 (2/3)x ?
Step-by-step explanation:
.....................
Jeanette wants to raise $3,200 in a marathon fundraiser. Her sponsers will donate
$35 for each (whole) kilometer she runs this summer.
The minimum amount Jeanette will have to run to reach her goal of $3, 200 is
kilometers.
Total amount she wants to raise = $3200
Amount she'll get for each kilometer = $35
So, number of kilometers she need to run
= Total amount she wants to raise/Amount she'll get for each kilometer
= $3200/$35
= 91.42....
Since her sponser is will donate only for whole kilometers she'll have to run 92 km.
Help Now!!!!
The Base Of A triangle prism
Answer:
Volume=Area × height
=35×7
volume = {245} m³
OAmalOHopeO
Answer:
Since the area of the triangle(base) is known we now multiply it to the height so we can get the volume.
7 x 35 = 245 m3 is your answer
You can picture it too:
(sorry my drawing is bad with the marker)
In a recent storm, an 18-foot utility pole broke and fell leaving a 5-foot tall portion upright. How far is the top of the pole from the base of the pole?
Answer: [tex]12\ ft[/tex]
Step-by-step explanation:
Given
Total height of utility pole is 18 ft
After breakage, only 5 foot tall portion is standing
The fallen part is [tex]18-5=13\ ft[/tex] in length
From the figure, apply the Pythagoras theorem
[tex]\Rightarrow 13^2=x^2+5^2\\\Rightarrow x^2=169-25\\\Rightarrow x=\sqrt{169-25}\\\Rightarrow x=\sqrt{144}\\\Rightarrow x=12\ ft[/tex]
Thus, the fallen part is [tex]12\ ft[/tex] away from the base of the pole.
Find the measure of the missing angle using the triangle angle sum theorm.
Answer:
20 degrees
Step-by-step explanation:
One angle is 70 degrees and the other is 90. Angles of a triangle add up to 180. 180 - 70 - 90 = 20. The final angle is 20 degrees.
Which of the following points is a solution of the inequality y < |x - 2|?
(-2, 0)
(2, 1)
(2, 0)
Answer:
(-2,0)
Step-by-step explanation:
y < |x - 2|
Substitute the points in and check
(-2,0)
0 < |-2 - 2|
0 < |-4|
0 < 4 True
(2,1)
1 < |2 - 2|
1 < |0|
1 < 0 False
(2,0)
0 < |2 - 2|
0 < |0|
0 < 0 False
Can someone help me with this math homework please!
Answer:
The answers are options A and C.
They are (-2,0) and (0,0).
Step-by-step explanation:
x-intercept
(-2,0) and (0,0)
I have 7,800 dollars and rent is 625.55 what is the yearly amount?
Find questions attached.
Show workings.
Answer:
Solution given:
7.<OYM=15°base angle of isosceles triangle
<OYL=50°base angle of isosceles triangle.
<OYL=<OYM+<MYL
50°=15°+<MYL
<MYL=50°-15°
<MYL=35°
again;
<MOL=35*2=70°central angle is double of a inscribed angle.
18.
Solution given:
<PQR+<PSR=180°sum of opposite angle of a cyclic quadrilateral is supplementary
<PQS+42°+78°=180°
<PQS=180°-120°=60°
<PQS=60°
<SPR=42°inscribed angle on a same arc is equal
:.<QPS=18°+42°=60°
<QSR=18°inscribed angle on a same arc is equal
again.
<PSR=78°
<QSR+<PSQ=78°
18°+<PSQ=78°
<PSQ=78°-18°
<PSQ=60°
In ∆ PQS
<PSQ=60°
<QPS=60°
<PQS=60°
In triangle ∆PQS all the angles are equal.
so it is a equilateral triangle.Ibrahim likes to run a loop around the park near his house that is ⅞ mile long. There is a water fountain ½ way around the loop. Ibrahim stopped to get a drink of water at the water fountain. How far did Ibrahim run?
Answer:
7/16 mile
Step-by-step explanation:
Distance of the loop = 7/8 mile
Distance of Water fountain = 1/2 of the Distance of the loop
= 1/2 of 7/8
Ibrahim stopped to get a drink of water at the water fountain. How far did Ibrahim run?
= 1/2 of 7/8
= 1/2 * 7/8
= (1 * 7) / (2 * 8)
= 7/16
Ibrahim ran 7/16 mile to drink water at the water fountain around the loop
Will give brainiest
∆ABC and ∆PQR are similar. ∆ABC is dilated by a scale factor of 1.25 and rotated 45° counterclockwise about point B to form ∆PQR. The side lengths of ∆ABC are , 5 units; , 4.2 units; and , 4 units. Match each side of ∆PQR to its length.
see file attached
Answer:
QR=5.25 units
PR=5 units
PQ=6.25 units
The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x − 3).
Which statement describes how the graph of h is different from the graph of g?
A. The graph of h is the graph of g horizontally shifted right 3 units.
B. The graph of h is the graph of g horizontally shifted left 3 units.
C. The graph of h is the graph of g vertically shifted up 3 units.
D. The graph of h is the graph of g vertically shifted down 3 units.
Answer:
A
Step-by-step explanation:
The graph of h(x) = (x-3)^2. The (x-3) indicates that the graph is shifted horizontally right 3 units because the change takes place inside the parantheses. Because the units are being subtracted, the graph will shift to the right. I highly recommend using Desmos to find your answer next time.
10 men painted 3 identical houses in 5 hours, working at a constant rate. How many houses would it take 20 men to paint 12 such houses, working at the same constant rate?
THE answer is
10 hours
Which expression is equivalent to the given expression?
Answer:C
Step-by-step explanation:
a^0=1 so youre left with 6ab/b8
then,
6a•b^(1-8)
6a•b^-7
therefore, 6a/b^7 is the answer
Simplify this expression.
Can anyone help pls
Answer:
Step-by-step explanation:
find the ratio of 4 km to 3200 m.
Answer:
5:4 or 1.25:1
Step-by-step explanation:
Convert 4km to meters.4000m to 3200m.Divide by 800m.Left with 5 to 4.