Answer:
y= 16(0.25)^x
Step-by-step explanation:
y= 16(0.25)^x
The exponential equation represents an exponential decay because the rate of decay is 0.25 which is less than 1.
The general form equation is:
y(x)= a(1-r)^x such that r is the decay percent.
Comparing two equation we have 1-r = 0.25
==> r= 1-0.25 = 0.75 = 75%
2. y= 0.8(1.8)^x
The equation represents exponential growth because the growth factor is greater than 1.
==> 1+r = 1.8
==> r= 0.8 = 80%
3. y= 17(1/5)^x
The equation represents exponential decay because 1/5 is less than 1.
==> 1-r = 1/5
==> r= 1- 1/5 = 4/5 = 0.8= 80%
What is the equation of the parabola, in vertex form, with vertex at (-2,-4) and
directrix x = -6?
O A. (x+2) = 8(y+4)
B. (y+4)2 = - 8(x+6)
O c. (y+4)2 = 16(x+2)
O D.(x+4)² = 8(y+2)
Answer:
Step-by-step explanation:
The distance between the vertex and the directrix is 4 units, that means that p = 4 in the equation
[tex](y-k)^2=4p(x-h)[/tex] and h and k are the coordinates of the vertex. Filling in:
[tex](y+4)^2=4(4)(x+2)[/tex] which simplifies to
[tex](y+4)^2=16(x+2)[/tex] choice C
Option C is correct, (y+4)² = 16(x+2) is the the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x = -6
What is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
The focus of the parabola is at a point that is equidistant to the vertex and the directrix.
Since the directrix is x = -6, the focus is at (-2+4,-4) = (2,-4).
The vertex form of the equation of a parabola is given by:
(y - k)² = 4p(x - h)
where (h, k) is the vertex and p is the distance between the vertex and focus.
In this case, (h, k) = (-2,-4) and the focus is at (2,-4). Therefore, p = 4.
Substituting the values into the vertex form equation, we get:
(y + 4)² = 4(4)(x + 2)
Simplifying, we get:
(y + 4)² = 16(x + 2)
Hence, (y+4)² = 16(x+2) is the the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x = -6
To learn more on Parabola click:
https://brainly.com/question/31142122
#SPJ5
Zeke owns stock in a high-tech firm. Each share is currently valued at $21 per share, which is 30% less than Zeke paid to purchase it. What did Zeke pay per share?
Answer:
$14.7
Step-by-step explanation:
Zeke owns stock in a high tech firm
Each share is valued at $21
It's is 30% less than the amount it was purchased
Therefore Zeke pay per share can be calculated as follows
= 21× 30/100
= 21×0.3
= 6.3
= 21-6.3
= 14.7
Hence Zeke's pay per share is $14.7
One afternoon, Olive, who is 2 feet 3 inches tall, casts a shadow that is 6 feet 1 inch long. At the same time of
the day, a nearby tree casts a shadow that is 12 feet long. Olive reasons she can figure out the height of the
tree.
What is the height of the tree in feet?
Answer:
4.5 feet
Step-by-step explanation:
Line AB || Line CD {sun height are parallel}
Angle ACB parallel to Angle DEC = 90°
Triangle ABC is parallel to Triangle DCE
12/61 * 2.5
=4.5 feet
Which polynomial represents the difference below?
(8x^2 + 9) - (3x^2 + 2x + 5)
A. 11x^2 – 2x+ 4
B. 5x^2 - 2x + 14
C. 5x^2 - 2x + 4
D. 11x^2 + 2x + 14
PLSSS help I don’t got da money for a trial
identify one solution for this graph
Answer:
y>2/1+-4
Step-by-step explanation:
y> because it's shaded over and since it's not dashes it needs the underline
2/1 because it's goes to the left twice and up once
-4 because that's where it starts
PLZ HELP!!!!! ASAP!!!!!!!!!!!! NO FILES!
Answer:
A' (1, -4)
B' (-4, -2)
C' (-5, 4)
D' (-2, 1)
Step-by-step explanation:
When reflecting a point across the x-axis, the x-coordinate remains the same, but the y-coordinate becomes its additive inverse.
The additive inverse of a number is simply the opposite of a number.
So, to reflect this quadrilateral across the x-axis, we must change the coordinates.
Remember: When reflecting a point across the x-axis, the x-coordinate remains the same, but the y-coordinate becomes its additive inverse.
Point A: (1, 4) ⇒ A' (1, -4)
Point B: (-4, 2) ⇒ B' (-4, -2)
Point C: (-5, -4) ⇒ C' (-5, 4)
Point D: (-2, -1) ⇒ D' (-2, 1)
The attachment will help as well.
PLZ HELP ILL GIVE BRAINLY!!!1 NO LINKS!!!!!
Find the 9th term in the following arithmetic sequence: 17, 13, 9, 5,...
Hint: Write a formula to help you.
1st term+ common difference(desired term-1)
Answer:
the 9th term would be -15
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
=======================================================
Explanation:
We use the cosine ratio here. Make sure your calculator is in degree mode.
cos(angle) = adjacent/hypotenuse
cos(69) = x/10
10*cos(69) = x
x = 10*cos(69)
x = 3.583679495453 which is approximate
x = 3.6
What is the slope of a line that passes through (8,0) and (0,8).
Answer:
slope is 0
Step-by-step explanation:
use the formula y2 - y1 / x2 - x1
1 of 5
True or false?
The following is a statistical hypothesis:
Smoking damages your health.
Explain your answer in the comment box.
B
A
T
Answer:
True
Step-by-step explanation:
Smoking damages your entire cardiovascular system. Speaking of this Nicotine causes blood vessels to tighten, which restricts the flow of blood. Over time, the ongoing narrowing, along with damage to the blood vessels, can cause *peripheral artery disease*. Smoking also raises blood pressure, weakens blood vessel walls, and increases blood clots.
* Peripheral artery disease is a common circulatory problem in which narrowed arteries reduce blood flow to your limbs
Hope this helps :) Brainliest would be appreciated XD
If my box plot is ranged from 60-64 in height and inches what is the data value is the upper quartile ( q3)
Answer:
[tex]Q_3 = 64[/tex]
Step-by-step explanation:
Given
Box of a box plot with the range: 60 - 64
Required
The upper quartile
To do this, we simply identify the endpoint of the range
Given that the range of the box is 60 to 64.
We have:
[tex]Start = 60[/tex]
[tex]End = 64[/tex]
Hence:
[tex]Q_3 = 64[/tex]
Write all subsets of set {1, 2, 3}
The set {1, 2, 3} has 8 subsets.
A set with 'n' elements in it can have 2n subsets.
You and your friend are selling magazine subscriptions for a fundraiser. After w weeks, you have sold (2w+9) subscriptions and your friend has sold (6w+3) subscriptions.
Answer:
3/2 weeks
Step-by-step explanation:
The question: find the number of weeks you and your friend sells equal number of magazine
You = 2w + 9
Your friend = 6w + 3
Equate both equations
2w + 9 = 6w + 3
Collect like terms
2w - 6w = 3 - 9
- 4w = - 6
w = -6/-4
w = 3/2 weeks
Please Help me! Marvin worked for 3 days. He earned $87.20 each day. He uses his earnings to buy four chairs. If he has no money left over, what is the cost of each chair?
$65.40
$261.60
$116.27
$21.80
Answer:
21.8
Step-by-step explanation:
87.2 divided by 4
Answer:
261.60
Step-by-step explanation:
its 3 times 87.20
I need help with it one plz
Answer:
- 2/5
Step-by-step explanation:
(3/5 + 1/5) + (4/5 - 2/5) = 6/5
6/5 - (9/5-1/5) = - 2 /5
Geometry help please! Is the given figure a parallelogram? Explain why you answered "Yes" or "No" in question 1. Give as much detail as possible.
Answer:
yes
Step-by-step explanation:
both angels are the same and that means that the length of the parallel sides are also the same
Will Mark as Brainliest if it's the Best!
OPTION B is the correct answer.
Hope it helps you...
Answer:
option B
Step-by-step explanation:
[tex]4^{\frac{2}{5} } *4^{\frac{-2}{5} }[/tex]
in multiplication if base are same u can add their power (exponent)
[tex]4^{\frac{2}{5} + \frac{-2}{5} } \\[/tex]
here since the denominator of the fraction in exponent are same u can add or subtract their numerator.
[tex]4^{\frac{2-2}{5} } \\4^{\frac{0}{5} } \\4^{0} \\1[/tex]
note: any base with the power 0 is always considered as one.
which statements describe the procedure Dave used in this step and identifies the property that justifies the procedure?
9514 1404 393
Answer:
A
Step-by-step explanation:
The second equation differs from the first in that -9 is a term added to both sides of the equation. The addition property of equality tells you that doing this will not change the value of the variable.
_____
The reason (not justification) for doing this is that the sum of 9 and its additive inverse is 0, the additive identity element. This means the equation can be simplified to 3x = 12, which is the point of making that step (subtracting 9).
cual es la distancia entee los siguientes puntos R ( 6,-10) M (5,4) C(7,3) H (8,6) M (-4,9)
Answer:
M ( -4,9)
Step-by-step explanation:
What is 21-21+21-21-31-7877
Answer:
- 7,908
Step-by-step explanation:
Have a nice day :)
Answer:
-7,908
Step-by-step explanation:
If 7 - y = 6, then y =
A. -29
B. -5
C. 1
D. 29
Answer:
C. 1
Step-by-step explanation:
7 - y = 6
-y + 7 = 6
-y - + 7 - 7 = 6 - 7
-y = -1
(-y=-1)/-1
y = 1
Hope this helps.
[tex]\sf \bf {\boxed {\mathbb {\: C.\:1}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]7 - y = 6[/tex]
[tex]➺ \: - y = 6 - 7[/tex]
[tex]➺ \: - y = - 1[/tex]
[tex]➺ \: y = 1[/tex]
Therefore the value of [tex]y[/tex] is 1.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]7 - y = 6[/tex]
[tex]➼ \: 7 - 1 = 6[/tex]
[tex]➼ \: 6 = 6[/tex]
➼ L. H. S. = R. H. S.
Hence verified.
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♨}}}}}[/tex]
Select the response that best answers the question below
In a school of 910 pupils, į are boys and
of the boys wear glasses. How many
boys wear glasses?
(A)
156
(B)
390
(C)
520
(D) 754
Answer:
What is the number of boys? I think you forgot to add the number in.
Step-by-step explanation:
Don't worry, I'll still help you! I'll be here waiting! :)
Write the system and
Brian sold fruit at his stand. Apples cost $0.40 and pears cost $0.50 each. In an afternoon he
sold 52 pieces of fruit and made $24. How many of each did he sell?
Answer:
20 apples, 32 pears
Step-by-step explanation:
Using a for number of apples and p for number of pears, you get a+p=52 (amount) and 0.4a+0.5p=24 (cost).
One way of solving simultaneous equations is using like terms and adding/subtracting them to remove a variable. There aren't any like terms here, but we can create some by multiplying terms.
Multiplying the second equation by 2 gives 0.8a+p=48, so that makes a like term.
Since the symbols are the same in front of the like term, we subtract the second term from the first one. This gives 0.2a=4.
Dividing by 0.2 gives a=20.
We can sub this into either equation to get the value of p.
a+p=52, so 20+p=52, meaning p=32.
**This content involves simultaneous equations, which you may want to revise. I'm always happy to help!
what’s the volume of the prism?
Answer:
48
Step-by-step explanation:
Prism shown: Rectangular prism
Volume of a rectangular prism = width times length times height
Given width: 4
Given height: 3
Given length: 4
Volume = 3 * 4 * 4 = 48
Answer:
We can solve the volume of this prism by using this formula :
[tex]l\times w \times h[/tex]
This would be written as
[tex]4 \times 4 \times 3[/tex]
We would then multiply.
[tex](4 \times 4) = 16[/tex]
[tex]16 \times 3 = 48[/tex]
Then we would get our answer!
[tex]Answer = 48[/tex]
If this helped mark me brainliest!
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
The answer is C≈49.64
Answer:
C=2πr=2·π·7.9≈49.63716
Step-by-step explanation:
brainliest??
I AM GOING TO FAIL THIS EXAM L M A F O
Answer:
x = 4
Step-by-step explanation:
The line in the triangle is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides, that is
[tex]\frac{x+6}{20}[/tex] = [tex]\frac{x}{8}[/tex] ( cross- multiply )
20x = 8(x + 6) = 8x + 48 ( subtract 8x from both sides )
12x = 48 ( divide both sides by 12 )
x = 4
If A = (7,9) and B = (3 , 12) what is the length of AB
Answer:
AB = 5 units
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+ (y_{2}-y_{1})^2[/tex]
with (x₁, y₁ ) = A(7, 9) and (x₂, y₂ ) = B(3, 12)
AB = [tex]\sqrt{(3-7)^2+(12-9)^2}[/tex]
= [tex]\sqrt{(-4)^2+3^2}[/tex]
= [tex]\sqrt{16+9}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
help help help :)))))))
Answer:
✓✓ Area of traingle = 1.2 cm^2 ✓✓
Step-by-step explanation:
Hello mate (◕ᴗ◕✿)
=>> In above traingle, height and hypotenuse are given
=> height = 12 cm
=> Hypotenuse = 14 cm
✓✓ Area of traingle = 1/2(base*height) ✓✓
we need to find base of above traingle
Base = √Hypotenus - √Perpindicular
Base = √14 - √12
Base = 3.7 - 3.4
Base = 0.2 cm
Now, we can find area of traingle
Area of traingle = 1/2(Base*Height)
Area of traingle = 1/2(0.2*12)
Area of traingle = 6*0.2
Area of traingle = 1.2 cm^2
Hope it helps you mate (. ❛ ᴗ ❛.)
Answer :
➢ 43.3 cm²
Explanation :
let the missing side be c
a = 12 cm
b = 14 cm
Pythagoras theorem :
➢ a² + c² = b²
➢ 12² + c² = 14²
➢ 144 + c² = 196
➢ c² = 196 - 144
➢ c² = 52
➢ c = √52
➢ c = 7.21
Area = 1/2 × a × c
➢ 1/2 × 12 × 7.21
➢ 6 × 7.21
➢ 43.26 cm²
➢ 43.3 cm² [ round off to 1 decimal place ]
Select the correct answer.
Date Daily Balance
2-20-2013 -$61.52
2-25-2013 $912.52
2-28-2013 $225.78
3-05-2013 -$228.82
3-06-2013 -$168.55
3-08-2013 $27.58
The table shows the balance in Mr. Wallace's bank account on different dates. On which date was the account balance the lowest?
A.
2-20-2013
B.
2-25-2013
C.
3-05-2013
D.
3-08-2013
Answer:
THE OPTIONAL ANSWER IS D
Step-by-step explanation:
I CHOOSE THAT ANSWER BECAUSE THAT IS THE DAY HE PAYED 27.58 Dollers and all the other days he pays high amount of cash
How did Progressives address the problems caused by industrialization?
