Answer:
2.5 hours
Step-by-step explanation:
To solve this question we can use the exponencial function:
P = Po * (1 + r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the time.
In this case, we have Po = 8, P = 7 and r = -5% = -0.05. So, we can solve for t:
7 = 8 * (0.95)^t
0.95^t = 0.875
log(0.95^t) = log(0.875)
t * log(0.95) = -0.1335
t * (-0.0513) = -0.1335
t = -0.1335 / (-0.0513) = 2.6023 hours
Rounding to the nearest half-hour, we have t = 2.5 hours
Answer:
2.5
Step-by-step explanation:
I had this question and got it right
Do the table and graph represent the same function?
What is the vertex of the graph of the function f(x) = x2 + 8x - 2?
(-4, 18)
(0, -2)
O (-8,-2)
O (-4, -18)
Answer:
vertex = (- 4, - 18 )
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
The the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
f(x) = x² + 8x - 2 ← is in standard form
with a = 1 and b = 8 , thus
[tex]x_{vertex}[/tex] = - [tex]\frac{8}{2}[/tex] = - 4
Substitute x = - 4 into f(x) for corresponding y- coordinate
f(- 4) = (- 4)² + 8(- 4) - 2 = 16 - 32 - 2 = - 18
vertex = (- 4, - 18 )
The vertex of the parabola is (-4, -18).
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the vertex of the function f(x) = x² + 8x - 2, we first need to convert the function into vertex form, which is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.
Completing the square.
f(x) = x² + 8x - 2
f(x) = (x + 4)² - 18
Therefore,
The vertex of the parabola is (-4, -18).
Learn more about functions here:
https://brainly.com/question/28533782
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A car was bought a year ago for £1875. It is now worth £1335. By what percentage has the car depreciated in value? (round to 1 decimal place)
Answer:
28.8%
Step-by-step explanation:
1875 - 1335 = 540
[tex]\frac{540}{1875}[/tex] x 100% = 28.8%
factories fully the flowing
[tex]x^{2} +3x \\2x^{2} -8x \\6x+9x^{2} \\12x^{3} -4x^{2}[/tex]
Answer:
Given below:)
Step-by-step explanation:
1) (x)(x+3)
2) (2x)(x-4)
3) (3x)(2+3x)
4) (4x^2)(3x+1)
I have factorised all of them by taking the common factor out of each
Find the surface area of the polyhedra
pls!! show how you got the surface area
Answer:
164 cm.
Step-by-step explanation:
First, I solved for the bottom and top. 10 times 3 is 30. Then I doubled it because it's the same answer for the bottom and top. I got 60.
Next I solved for the sides. 4 times 3 is 12. Then I doubled it because it's the same answer for both sides. I got 24.
Lastly I solved for the front and back. 10 times 4 is 40. Then I doubled it because it's the same answer for both the front and back. I got 80.
After all this, I added everything together. 60 + 24 + 80 = 164.
Sorry, I'm not the best at explaining things.
Help someone please cuhhhhhhhhhh!!!!!
Answer:
6^10
Step-by-step explanation:
2+11=13
13-3=10
Help please with this question
Answer:
The third graph down
Step-by-step explanation:
-2.1 w > 12.81
Divide each side by -2.1, remembering to flip the inequality
-2.1w / -2.1 < 12.81/ -2.1
w < -6.1
There is an open circle at -6.1 and the line goes to the left
Answer: Oops its the 3rd answer, my explanation is wrong but the first paragraph has some decent info
Step-by-step explanation:
I could just give you the answer but I want you to intuitively understand it. W is the variable you are looking for, right. So anything shaded on those number lines is going to indicate the value of w. The answer is that w < -6.1
Negative numbers are a little bit tricky when using less and greater than. But basically, less than means closer to 0 and greater than means farther from zero. So this means that w is every single number less than -6.1, or closer to zero and then continuing on in the postive direction.
Now for the little circle on the -6.1:
A circle that is not shaded in means that this value is NOT included. And we can see that the sign is <, not [tex]\leq[/tex]. So we are going to have an open circle from -6.1 that is going closer to zero and beyond. The first answer fits that criteria perfectly
Someone please help me :( I’m struggling
Answer:
ax - by = k
Step-by-step explanation:
A literal equation is an equation made up of variables representing numbers that can be changed
ax - by = k is a literal equation because there are no numbers
Letters stand for each item
Please Help !
Find The Length Of AC .
Express Your Answer In Terms Of Pi .
Answer:
AC: 31m or 30.999m
Step-by-step explanation:
Diameter =2R = 24
Circumference = 2πR
= 24π
= 75.398223686155 m
AB = 180 diameter
180-30 = 150 degree
150/30 = 5
360/30 degree = 12
74.398223686155 /12 = 6.19985197385 x 5 = 30.9992598693 = 30.999m
These below are just checkers.
360/74.398223686155 = 4.83882520527 N/a
150/4.83882520527 =30.9992598692 N/a
!35 POINTS! Find the total surface area of the following prism!
Answer:
152
Step-by-step explanation:
Why is this still worth 18 points?
because if you math 12+273 it = 8281 or something free point thank
which of the following descriptions represents the transformation shown in the image?
Answer:
C. left two units, up three, reflection on the x = -1
Simplify the following fraction:147/231
Answer:
7/11
Step-by-step explanation:
Both the numerator and denominator are divisible by 21.
so:
147 divided by 21 = 7
231 divided by 21 = 11.
When they are re-assembles to a fraction = 7/11
Hope this helps.
Please mark brainiest
a car drives at 45 km for 3 hours . how far does the car travel
Answer:
135 km
Step-by-step explanation:
I assume by 45 km you mean 45 km/h so all you have to do is 45x 3 since the car was driving for 3 hrs.
Answer:
The car traveled 135 kilometres!
Step-by-step explanation:
Here you have to do the speed (45km/h) multiplied by the time (3 hours)
45 x 3 = 135
So the car has traveled 135 kilometres!
HOPE THIS HELPS!!
Mark me brainlest!
write 10 examples of rectangle that you observed in your daily life
Answer:
-a book
-a flash card
-the american flag
-post-it
-pencil case
-calculator
-phone
-dollar bill
-tv
-ruler
Step-by-step explanation:
________________________________
Hey!!
Ten examples of rectangles that I observed in my daily life are as follows:
BoxtelevisionMobile phoneswhiteboardClipboardCassetteBagChocolateBiscuitRuler________________________________
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 2[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine or cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 2[tex]\sqrt{2}[/tex]
Me pueden ayudar en este problema de potencia antonio tiene3 cajas , en cada caja hay 3 botones que contienen 3 lapices cuantos lapices habra en total
Answer:
23 lapices
Step-by-step explanation:
Él tiene 3 cajas.
Cada caja contiene 3 botones.
Cada botón contiene 3 lápices.
La cantidad de lápices que tendrá en total es:
[tex]N = 3 * 3 * 3 = 3^3 = 27[/tex]
Tendrá 23 lápices
The hard-cover edition of a book cost 3 times as much as the paperback edition. Both editions together cost $26.60. Find the cost of each.
Answer:
the hardcover is 19.95, and the parback is 6.65. enjoy.
4. Two non-common sides of adjacent, complementary angles form
a) a straight angle
b) a reflex angle
c) a right angle
d) a linear pair
Answer:
c) a right angle
Step-by-step explanation:
A right angle can be defined as angles that are created or formed by two non-common sides of adjacent, complementary angles.
These angles have the following attributes:
a) They are angles that are complementary angles. This means that the sum of these angles is equal to 90°
b) The angles are adjacent complementary angles: These means that the angles are next to each other.
Two non-common sides of adjacent, complementary angles form a right angle because they have a common vertex and arm.
Answer:
a right angle
Step-by-step explanation:
10 pts!
How can you determine if two triangles have a scale factor?
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles. In Figure 1 , Δ ABC∼ Δ DEF. Figure 1 Similar triangles whose scale factor is 2 : 1. The ratios of corresponding sides are 6/3, 8/4, 10/5. hope that helps love!
Answer:
i dont know but here is some help
Step-by-step explanation:
Scale Factor. Suppose you have two similar figures , one larger than the other. The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Example: Here, XYUV=123=4 .
78% of a number, P, is 23.4 more than 117% of another number, Q. It is further given
that is 40% of P. Find P and Q.
Answer:
Step-by-step explanation:
"78% of P" looks like this in an algebraic expression: .78P
"117% of Q" looks like this: 1.17Q
"...is 23.4 more than [above]" looks like this: [above] + 23.4
Putting that all together in one equation, knowing that the word "is" means "equals":
.78P = 1.17Q + 23.4
From there, we will now use the fact that Q is 40% of P, which looks like this:
Q = .4P
Now, using that substitution:
.78P = 1.17(.4P) + 23.4 and
.78P = .468P + 23.4 and
.312P = 23.4 so
P = 75
Going back up to what Q is equal to, we will sub in the value of P and solve for Q:
Q = .4P and P = 75, therefore,
Q = .4(75) so
Q = 30
Help me solve please
Answer:
44Please see the attached picture for full solution
hope it helps...
Good luck on your assignment
Answer:
[tex]44[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
7 identically sized pieces of timber are x cm long when put together. How long is each individual piece?
Answer:
x/7
Step-by-step explanation:
7*y=x
:7 :7
y=x/7
I need help ASAP I shall give brainlyist (idk how to spell it)
Answer:
3014.4ft³
Step-by-step explanation:
V=Πr²h(volume of cylinder)
=(3.14)(8)²(15)
=3014.4ft³
Find the area of the following trapezium:
26 cm
21 cm
33 cm
Write appropriate units with your answer.
Answer:
619.5cm2
Step-by-step explanation:
Based on what you defined as the parallel sides been 26cm and 33cm and the height been 21cm.
Hence the are of trapezium is half sum of the parallel sides × height.
Expressed mathematically we have:
1/2( 26 +33) × 21 = 1/2 ( 59) × 21 = (59×21)/2= 619.5cm2
Which of the following is a solution of y - x > -3? (2, -1) (6, 2) (2, 6)
Answer: (2, 6)
Step-by-step explanation:
y - x > -3
x coordinate is 2 and y coordinate is 6
Plug in the x and y coordinates
6 - 2 = 4
4 > -3
Simplify the following expressions by using distributive property. 3x^2(4x-3)
Answer:
12x^3-9x^2
Step-by-step explanation:
[tex]3x^2(4x-3)= \\\\3x^2(4x)+3x^2(-3)= \\\\12x^3-9x^2[/tex]
Hope this helps!
LAST QUESTION!!WILL GIVE BRAINLIEST!!! AT LEAST LOOK!!! SHARE YO SMARTNESS!!! EASY BUT IM DUMB!!!!!!
Which is not a pair of congruent angles in the diagram below?
A) EAB=CDB
B) ABE=DBC
C) AEB=DCB
D) AEB=CDB
Answer:
The Correct answer is D
Step-by-step explanation:
I got it right on my test :)
in a certain year a new bed costs 35000. if the rate of inflation was 20% for the next two years what would the same bed cost at the end of this period
Answer:
42000
Step-by-step explanation:
First of all, we need to find 20 percent of 35000.
35000×20 / 100 = 7000
now we increase the bed cost by 20 percent.
35000 + 7000 = 42000
Answer:
5000
Step-by-step explanation:
NEED HELP ASAP!!
Will give BRAINILESS!!
ATTACHED PICTURE
Answer
D= t^2 + 5.6
Step-by-step explanation:
D= t + 5.3 x t + 0.3
D= t^2 + 5.6
At Shimla, temperature was -1℃ on Saturday and rose by 3℃ on Sunday. What was the temperature on Sunday?
Answer:
labron james
Step-by-step explanation:labron james labron james labron james
Answer:7c
Step-by-step explanation:
idk.