Please solve 3^(x+3) + 3^(x+4)/3 = 162
Answers
4x+13=162
4x=162-13
4x=149
x=149/4
x=37.2
Related Questions
What is the growth factor associated with the following growth rate: 30% decrease
Your answer should be typed as a decimal.
Answers
Given:
Growth rate = 30% decrease
To find:
The growth factor associated with the given growth rate.
Solution:
The general exponential function is:
[tex]y=a(1+r)^x[/tex]
[tex]y=a(b)^x[/tex]
Where, a is the initial value, r is the growth rate in decimal and [tex]b=1+r[/tex] is the growth factor.
It is given that the growth rate is 30% decrease. So,
[tex]r=-30\%[/tex]
[tex]r=-\dfrac{30}{100}[/tex]
[tex]r=-0.3[/tex]
Now,
[tex]b=1+r[/tex]
[tex]b=1+(-0.3)[/tex]
[tex]b=1-0.3[/tex]
[tex]b=0.7[/tex]
Therefore, the growth factor is 0.7.
Help ASAP please thank u
Answers
Answer:
(A). F(x) = (x+1)^2
Step-by-step explanation:
If you replace x with the values of the axis, you get all the coordinates of the graph.
If this helps you, please give brainliest!
Because you should horizontal shift 1 point to the left and I think the graph should parabola, so yeah hope that answers your question and good luck!!
Please help i don't have enough time!! PISA: Exchange rate Mei-ling from Singapore has been preparing to go to South Africa for 3 months as an exchange student. She needed to convert some Singapore dollars (SGD) into South African Rand (ZAR). Mei-Ling discovered that the exchange rate between Singapore Dollar and South African Rand SeM 1 SGD = 4.2 ZAR Mei-Ling changed 3000 Singapore Dollars to South African Rand at this exchange rate. How much money did Mai Ling get in South African Rand?
Answers
Answer:
12600 (ZAR)
Step-by-step explanation:
4.2*3000
A box of Lucky Charms costs $3.29 and you have a coupon that will save you 75 cents off 2 containers. What is the final price if you buy 2?
Answers
Math help please show work thanks
Answers
24+24+15+15+40+40
48+30+80
78+80
158
=====================================================
Work Shown:
36 inches = 3 feet
Divide by 12 to go from inches to feet
The block has the dimensions
L = 5 ftW = 8 ftH = 3 ftUse the formula below to calculate the surface area
SA = 2*(LW+LH+WH)
SA = 2*(5*8+5*3+8*3)
SA = 2*(40+15+24)
SA = 2*(79)
SA = 158 square feet
So if you had 158 square feet of wrapping paper, then you can cover this entire 3D box without any gaps or overlaps. The paper can be folded over the box, or you can cut/glue the pieces on, but make sure there isn't any leftover scraps of paper.
its the last one:) please help. giving brainlist
Answers
Answer:
[tex]5[/tex]
Step-by-step explanation:
Segments are named by their endpoints. Therefore, segment PQ will have endpoints P and Q. The length of the segment is equal to the distance between these points.
To find the distance between P and Q given their coordinates, use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let:
[tex]P(-2, 7)\implies (x_1, y_1),\\Q(1, 3)\implies (x_2, y_2)[/tex]
The distance between these points is equal to:
[tex]d=\sqrt{(1-(-2))^2+(3-7)^2},\\d=\sqrt{3^2+(-4)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=\boxed{5}[/tex]
Answer:
[tex]5[/tex]
Step-by-step explanation:
This problem gives one the following points on a line: ([tex]P(-2,7)[/tex]), and ([tex]Q(1,3)[/tex]). The problem asks one to find the distance between the two points. The formula to find the distance between two points on a coordinate point is the following,
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute the given values in and solve for the distance;
[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}[/tex]
Simplify,
[tex]D=\sqrt{(-2)-(1))^2+((7)-(3))^2}\\\\D=\sqrt{(-3)^2+(4)^2}\\\\D=\sqrt{9+16}\\\\D=\sqrt{25}\\\\D = 5[/tex]
can someone help please
Answers
9514 1404 393
Answer:
4. n = 4
5. P(A|B) = 0.75
Step-by-step explanation:
4. The coefficient of x will depend on n. The expansion is ...
(5 +nx)^2(1 +3/5x)^n = (25 +10nx +n^2·x^2)(1 +3/5nx +...)
So, the x-term of the expansion is ...
25(3/5nx) +(10nx)(1) = 25nx
The problem statement tells us that is 100x, so we have ...
25nx = 100x
n = 100x/(25x) = 4 . . . . . divide by the coefficient of n
The value of n is 4.
__
5. For the conditional probability formula, we need to know P(A∩B).
P(A∩B) = P(A) +P(B) -P(A∪B)
P(A∩B) = 0.5 +0.4 -0.6 = 0.3
Then the conditional probability is ...
P(A|B) = P(A∩B)/P(B) = 0.3/0.4
P(A|B) = 0.75
If P is the incenter of JKL, find m Please show the work, that would be really helpful, thank you!
Answers
Answer:
[tex]34^{\circ}[/tex]
Step-by-step explanation:
The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.
By definition, an angle bisector divides an angle into two equal smaller angles.
Therefore:
[tex]\angle KJN=\angle LJN,\\\angle KLM=\angle JLM, \\\angle JKP=\angke LKP[/tex]
What we're given:
[tex]\angle KJN=\angle LJN=30^{\circ}[/tex] [tex]\angle KLM=\angle JLM=26^{\circ}[/tex]The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:
[tex]\angle KJN+\angle LJN+\angle KLM +\angle KLM +\angle JKP+ \angle LKP=180^{\circ}[/tex]
Substituting given values:
[tex]30+30+26+26+\angle JKP+\angle LKP=180[/tex]
Since [tex]\angle JKP=\angle LKP[/tex],
[tex]30+30+26+26+2(\angle JKP)=180,\\112+2(\angle JKP)=180,\\2(\angle JKP)=180-112,\\2(\angle JKP)=68,\\\angle JKP=\frac{68}{2}=\boxed{34^{\circ}}[/tex]
In the cafeteria tables are arranged in groups of 4, with each table seating 8 students. How many students can sit at 10 groups of tables?
Answers
A shop-keeper wants to charge 1.5 times
as much per toilet roll for offer B than offer A.
What is the price for offer B?
Answers
Answer:
ok so the equation would look like this
B=1.5A
so b is 1.5 times more then a
Help please!! Worth 14 points!
Answers
Answer:
6 days
Step-by-step explanation:
Hi there!
Let d be equal to the number of days that pass.
1) Form expressions
We're told that our sister earns $30 a day, but needs to pay $60 at first:
[tex]30d-60[/tex]
We're also told that we earn $20 a day:
[tex]20d[/tex]
2) Form an equation
We're solving for the number of days that pass (d) in order for both our and our sister's income to equal each other.
For our income and our sister's income to equal each other, the following must be true:
[tex]30d-60=20d[/tex]
Because the only variable here is d, we can simply isolate it to determine the number of days that would pass.
3) Solve for d
[tex]30d-60=20d[/tex]
Subtract 30d from both sides to isolate d on one side
[tex]30d-60-30d=20d-30d\\-60=-10d[/tex]
Divide both sides by -10 to isolate d
[tex]6=d[/tex]
Therefore, for both our income and our sister's income to become equal, 6 days would pass.
I hope this helps!
Please help meee I need this done ASAP
Answers
Answer:
4pi/15=θ - i think
Step-by-step explanation:
S = r*θ
r=9
s=12pi/5
12pi/5=9*θ
12pi/45=θ
4pi/15=θ
What is the area of this tile?
Use inch or inch^2 for this problem.
Answers
Answer:
24 in^2
Step-by-step explanation:
To get the area of a triangle, multiply the base and height, then divide by 2.
Base=6
Height=8
6*8/2=48/2=24
24 in^2
Answer:
24 inch^2
Step-by-step explanation:
6 times 8 equals 48
Divide that by 2 and get 24
Area of Triangle is A=1/2bh
Can I get Brainliest, please!
Swadaylab arck, a
fatis)
ne that obat 5. Eind the raken
$10
Answers
Determine the measure of CD from the diagram below.
Answers
Answer:
100 degrees
Step-by-step explanation:
This is because AED And CED ARE supplimetary.
80+<CED=180
-80 -80
<Ced=100
In a recent flu epidemic, the number of flu cases increased by 40% each week. There were 3,000 flu cases during the first week of January. How many more people were affected by the flu during the third week of January than during the first week?
1,200
2,880
3,280
4,200
Answers
Answer:
Option B
(B) 2880 Hope this helps <3
Step-by-step explanation: the total number of people affected by flu during
the 2nd and 3rd week of January, 1200 + 1680 = 2880
Answer:
1,200
Step-by-step explanation:
40%=.4
(3,000)x(.4)=1,200
1,200 more people were more affected in the third week then the first week
Please help me on this!! 11 points!!!
Answers
[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}} [/tex]
SIMPLIFY THE EXPRESSION [tex] \blue{\frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } } }[/tex]
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
[tex] \pink{ \frac{m^{ \frac{2}{3} } }{m {}^{ \frac{1}{5} } }} \\ m^{ \frac{2}{3} - \frac{1}{5} } \\ m^{ \frac{(2 \times 5) - (1 \times 3)}{3 \times 5} } \\ m^{ \frac{10 - 3}{15} } \\ m^{ \frac{7}{15} } [/tex]
[tex] \green{SECOND \: \: OPTION->}\purple{ m^{ \frac{7}{15} } }[/tex]
se
4 Shonda is hanging pictures on a
wall in her home. She has pictures
with areas of 16 square inches and
25 square inches. She hangs a total
of 7 pictures which covers 148
square inches of wall space. Let x be
the number of pictures with an area
of 16 square inches and y be the
number of pictures with an area of
25 square inches.
Answers
5. In the triangle ABC. M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1, 3), B(7-3) and C(1,6).
Answers
Answer:
N(2,3)
Step-by-step explanation:
According to the Question,
Given that, In the triangle ABC. M is the midpoint of AB and N is the midpoint of CM And A(-1, 3), B(7-3) and C(1,6). Thus, For coordinates of N. first We have to find the Coordinate of M(x,y). As Given M is the Midpoint of A(-1, 3) and B(7-3).Thus, M(x,y) = (-1+7)/2 , (3-3)/2 ⇒ M(3,0)
Now, As Given, N(a,b) is the Midpoint Of C(1,6) and M(3,0).Thus. N(a,b) = (1+3)/2 , (6+0)/2 ⇒ N(2,3)
KoKo Chocolatiers sells their truffes in rectangular boxes. They are going to start ordering circular boxes, too. The rectangular box is made from metal that is 0.3 cm thick. The circular box will be constructed from laminated cardboard that is 0.2 cm thick. The height of the circular box will be the same as the rectangular box. If the volumes of the two boxes are equal, then what is the radius (r) of the circular box?
Answers
Answer:
r = 9.61 cm
Step-by-step explanation:
Volume of a rectangular box = length × width × height
= 21.5 cm × 13.5 cm × 6 cm
= 1,741.5 cm³
Volume of a rectangular box = 1,741.5 cm³
Since,
Volume of a rectangular box = Volume of a circular box
Then,
1,741.5 cm³ = Volume of a circular box
Volume of a circular box = πr²h
1,741.5 cm³ = 3.14 * r² * 6 cm
1,741.5 = 18.84r²
r² = 1,741.5/18.84
r² = 92.436305732484
r = √92.436305732484
r = 9.6143801533163
Approximately,
r = 9.61 cm
Shantelle wants to rent a midsize car for one day.Value rent a car charges $20 a day plus 0.20 per mile,and best rent a car charges $30 a day plus $0.10 per mile for rental of the same mid-size car
Part A)write an equation in slope intercept form,y=mx+b for each car
Part b: determine the mileage where the rental charges are the same.
(Need help asap)
Answers
Answer:
See answers to parts a and b below.
Step-by-step explanation:
A. Value: y=20+.20x
Best Rent y=30+.10x
B. 20+.20x=30+.10x make equations equal each other by subbing y values.
.10x=10 simplify equation
x=100
check answers by subbing 100 for x in each equation.
y=20+.20(100)
y=20+20
y=40
y=30+.10(100)
y=30+10
y=40
Both equations equal 40, so 100 is the correct number of miles for when Value equals Best Rent.
please help :DDDDDDD
Answers
Answer:
B 5/6 * -11/-7
Step-by-step explanation:
-5 / -7 = 5/7
-11/-6 = 11/6
Multiply
5/7 * 11/6
Rewriting
5/6 * 11/7
We can make the 11 and the 7 negative (-11/ -7 = 11/7)
5/6 * -11/-7
Type the correct answer in each box. Use numerals instead of words, Simplify the following polynomial expression. (5x2 + 13x – 4) – (17x2 + 7x – 19) + (5x – 7)(3+ + 1)
____ x2 – ____ x + ____
Answers
Answer:
La primera es la respuesta la segunda parte es la
Step-by-step explanation:
La que te muestra como va el procedimiento
Answer:
-57x^2-10x+8
Step-by-step explanation:
i just did the test on edmentum
In a right triangle, Sin (4x + 10) º = Cos (6x) º. What is the value of x?
Answers
Answer:
Step-by-step explanation:
These angles will be equal when each of them measures 45 degrees. On the unit circle, 45 degrees and reference angles of 45 degrees are the only places where sin and cos are the same. This means that
sin(4x + 10) = 45 and cos(6x) = 45
If we add the angles together (the angles being 4x+10 and 6x) we get a 90 degree angle. Thus,
4x + 10 + 6x = 90 and
10x = 80 so
x = 8. Let's try it out:
sin(4(8) + 10) = sin(42) = .6691306064 and
cos(6(8)) = cos(48) = .6691306064
Yay!!!!!
what are the two greatest common factors in 28 and 10
Answers
The price of an item has been reduced by $1.84. The original price was $46.91. What is the price now?
Answers
Answer:
$45.07
Step-by-step explanation:
46.91-1.84= 45.07
Helpppppppppppp meeeeeeeeee
Answers
Answer:
X=-1
Step-by-step explanation:
X=-1 is just a vertical line since it only tells where the x point is.
A regular hexagon is to be cut out of a circular sheet of metal that has a radius of 6
inches.
Approximately how many square centimeters of sheet metal will be left over as
scraps?
A. 32.9 square centimeters
B. 93.5 square centimeters
C. 113.1 square centimeters
D. 126.2 square centimeters
Answers
Write the smallest three digit number whose value does not change on reversing its digits.
Answers
Answer:
the answer is 101.
Step-by-step explanation:
it is the smallest three-digit number whose value does not change on reversing its digits.
helppppp- u just need to simplify the given term
Answers
I hope this helps <3