Answer:
Step-by-step explanation:
In order to undo that e, you need to take the natural log of both sides:
[tex]ln(e^x)=ln(7.1)[/tex] the ln and the e cancel each other out, leaving us with
x = ln(7.1) so
x = 1.96
Find the sum of a 22-term arithmetic sequence, where the first term is 7 and the last term is 240.
Answer:
The sum of the arithmetic series is 2717.
Step-by-step explanation:
The sum of an arithmetic sequence is given by:
[tex]\displaystyle S = \frac{k}{2}\left( a + x_k\right)[/tex]
Where k is the number of terms, a is the initial term, and x_k is the last term.
There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:
[tex]\displaystyle \begin{aligned} S &= \frac{(22)}{2}\left((7) + (240)} \\ \\ &= 11(247) \\ \\ &= 2717\end{aligned}[/tex]
In conclusion, the sum of the arithmetic series is 2717.
Match the graph with the correct equation.
Answer:
work shown and pictured
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
A)
Step-by-step explanation:
Volume of a Rectangular Prism Formula: L x W x H
6 yd x 3 yd x 4 yd = 72 yd^3
PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST
Answer:
1)-4x+4
2) C
3)E
4)A
Step-by-step explanation:
Hope it helps
What is m
Round the answer to the nearest whole number.
O 30°
O 35°
O 55°
O 60°
Answer:
30
Step-by-step explanation:
fufyfuf7fjcjcufuy7fufucyyxyvkbuvufudydy shut up
(b) Work out the probability Jennifer hits the Bullseye at least once.
Can someone work this out for me ?
Answer:
1/2
Step-by-step explanation:
Filling out the tree diagram,
On the first throw, there is a 4/4 = 100%* chance Jennifer hits or misses. Therefore, the chance she misses is equal to the difference between
(chance she hits or misses) - (chance she hits) = 4/4 - 1/4 = 3/4
For the second throw, the chance she hits is independent of whether she hits or misses on the first throw. This means that it does not matter whether she hits or misses on the first throw; her chance to hit the second throw will always be 1/3. Therefore, 1/3 can go into the hit category on each hit line on the second throw, and in the miss category, we can put
100% - 1/3 = 1 - 1/3 = 3/3 - 1/3 = 2/3
For Jennifer to hit the bullseye at least once, she must either:
- Hit and then hit
- Hit and then miss
- Miss and then hit
From this, we can determine that if Jennifer hits the first bullseye, she will have hit it at least once, no matter what. Therefore, Jennifer must either:
- Hit the first one
- Miss and then hit
In probability, OR /either means that we add the probabilties. The probability that she hits the first one is 1/4, and the probability that she misses and then hits is
(probability she misses the 1st one) * (probability she hits the second one). We know to multiply here because both scenarios must happen, and for AND probabilities, we multiply. We thus have
(3/4) * (1/3) = 3/12 = 1/4 as the probabilty that she misses then hits, and 1/4 as the probability that she hits the first one. We add these up to get 1/4 + 1/4 = 2/4 = 1/2 as our probability that she hits the bullseye at least once
* we know 4/4 = 100% because 100% = 1, and anything divided by itself is equal to 1.
5x(2x-y) -3y(2+3x) expand and simplify
Answer:
10x² - 14xy -6y
Step-by-step explanation:
5x(2x-y)-3y(2+3x)
10x²-5xy-6y-9xy
10x² - 14xy - 6y
PLEASE HELP!! It’s for a math class and I can’t figure it out been trying every website nothing has helped!
Answer:
11.6%
I hope this helps!
is this right? someone please check?
Answer:
The answer looks correct.
Step-by-step explanation:
All the other option doesn't match the above question's statement.
The last answer is the correct (in my opinion)
Answer:
Absolutely Correct
Step-by-step explanation:
Based on the definition of midpoint;
It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.
meaning the distance from the midpoint to one end is the same as the distance to the other end
Help please will give brainiest if correct
Answer:
(x + 1)^2 + (y - 1)^2 = (8.5)^2
Step-by-step explanation:
Consider the general equation of a circle:
(x - h)^2 + (y - k)^2 = (r)^2
Where (h,k) represent the center point of the circle, and r represents the radius of the circle.
For this circle, our center point appears to be at (-1,1) and the circle has a radius of 8.5.
Using this information, we simply plug these values into the general equation to get the following:
(x + 1)^2 + (y - 1)^2 = (8.5)^2
Cheers.
My Math Integers. I'm stuck on this problem.. Someone please help? (-4)(-9) =
Answer:
It is 36
Step-by-step explanation:
minus × minus equals + so its 36
Answer:
36
Step-by-step explanation:
(-4) is -4
then
(-9) then 36
Ahmad the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were clients 3 who did Plan A and 2 who did Plan B. On Tuesday there were 5 clients who did Plan A and 6 who did Plan B. Ahmad trained his Monday clients for a total of 3 hours and his Tuesday clients for a total of 7 hours. How long does each of the workout plans last? please help
Answer:
Plan A last for 30 minutes
Plan B last for 45 minutes
Step-by-step explanation:
There are two plans:
Plan A
Plan B
Monday
Plan A=3 clients
Plan B=2 clients
Total hours=3
Tuesday
Plan A=5 clients
Plan B=6 clients
Total hours=7
The equation for the unknown
3A + 2B=3 (1)
5A + 6B=7 (2)
Multiply (1) by 3 and (2) by (1)
9A + 6B=9 (3)
5A + 6B=7 (4)
Subtract (4) from (3)
4A=2
Divide both sides by 4
4A/4 = 2/4
A=1/2 hours
Substitute A=1/2 into (1)
3A + 2B=3
3(1/2) +2B=3
3/2 + 2B=3
2B= 3 - 3/2
2B= 6-3/2
2B=3/2
Divide both sides by 2
B=3/2÷2
=3/2×1/2
B=3/4 hours
A=1/2 hours
B=3/4 hours
60 minutes=1 hour
A=1/2 hours
1/2 × 60 minutes
=60/2
=30 minutes
B=3/4 hours
=3/4×60 minutes
=180/4
=45 minutes
Plan A last for 30 minutes
Plan B last for 45 minutes
Simplify 2m^2 – 2m + 3m^2
Answer:
5m^2-2m
Step-by-step explanation:
2m^2-2m + 3m^2
5m^2-2m
Answer:
5m² - 2m
Step-by-step explanation:
Given
2m² - 2m + 3m² ← collect like terms
= (2m² + 3m²) - 2m
= 5m² - 2m
Which of the following rules describes the function graphed below?
Answer:
D
Step-by-step explanation:
Output = 3*input - 2. Observe the graph again
How to solve -13 - ¼h = 7
Answer:
The solution is h = -80.
Step-by-step explanation:
Let's eliminate fractions here by multiplying all three terms by 4:
-52 - h = 28
Subtracting 28 from both sides results in -80 = h
The solution is h = -80.
Whoever is right I will give you brainlist!!!
Answer:
B
Step-by-step explanation:
C and D aren't linear and A has a positive slope
Answer:
A has positive slope.......,..
A video rental company offers a plan that includes a membership fee of $7 and charges $1 for every DVD borrowed. They also offer a second plan, that costs $29 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that? What is that total cost of either plan? If a customer rents ___ DVDs, each option costs $___.
If a customer rents 22 DVDs, each option costs $29
This only applies to one month.
=================================================
Work Shown:
x = number of DVDs borrowed
y = total cost
Plan A has a cost of x+7 dollars since x represents the cost of renting the x DVDs plus the membership fee of $7. We can say y = x+7.
Plan B has a fixed cost of $29 per month, so y = 29. There is no x here to worry about as the cost is the same no matter how many DVDs you rent.
y = x+7 and y = 29 are dealing with the same y value. We can use substitution to solve for x
----------------
y = 29 ... start with second equation
x+7 = 29 .... replace y with x+7 (valid because y = x+7)
x+7-7 = 29-7 ... subtract 7 from both sides
x = 22
If the customer rents 22 DVDs, then plan A will charge y = x+7 = 22+7 = 29 dollars, which is the same as the flat rate cost plan B charges.
If the customer rents more than 22 DVDs per month, then its smarter to go with plan B (since plan A's cost will be larger). Otherwise, go for plan A.
----------------
In terms of a graph, you can graph both y = x+7 and y = 29 together on the same xy axis. The line y = x+7 goes through (0,7) and (1,8). The line y = 29 goes through (0,29) and (1,29). Both lines intersect at (22,29) to indicate that x = 22 and y = 29 pair up together.
Which of the following equations is of a parabola with a vertex at (3, 0)?
y = (x - 3) 2
y = (x + 3) 2
y = x 2 - 3
y = x 2 + 3
The answer is y = (x - 3)^2.
I hope this helps! Please give brainliest.
Please help I did the first 2
Answer:
x = 1.5
Step-by-step explanation:
6 - 2x = 3
→ Minus 6 from both sides to isolate -2x
-2x = -3
→ Divide -2 from both sides to isolate x
x = 1.5
You want to borrow three rock CDs from your friend. She loves math puzzles and she always makes you solve one before you can borrow her stuff. Here's the puzzle: Before you borrow three CDs, she will have 39 CDs. She will have half as many country CDs as rock CDs, and one-fourth as many soundtracks as country CDs. How many of each type of CD does she have after you borrow three rock CDs?
Answer:
Rock CD's=21
Country CD's=12
Soundtrack CD's=3
Step-by-step explanation:
let
r= rock CD's
c = country CD's
s = soundtrack CD's
Total CD's=r + c + s =39
2c=r
c/4=s
2c+c+c/4=39
8c+4c+c=156
13c=156
c=12
Substitute c=12 into 2c=r
2c=r
3(12)=r
24=r
r=24
Substitute c=12 into c/4=s
c/4=s
12/4=s
3=s
s=3
Therefore, she has
c=12
s=3
r=24
before she borrowed you 3 rock CD's
Sha has
r=21
s=3
c=12
after you borrowed 3 rock CD's
if a person invests $290 at 6% percent annual interest, find the approximate value of the investment at the end of 15 years
$695.00 would be your answer :)
37. for the graph x= -3
please help
Answer: 0
Step-by-step explanation:
Slope of x = -3 is infinite / undefined (there is infinite/no defined change in y for a given change in x). Remember, line x = -3 slopes straight up.
Perpendicular means at a 'right angle to'.
The only kind of line that is perpendicular to a vertical line is a horizontal line, which is like y = 15 or y = 5 or something. The slope of such lines is always zero, because there is no change in line's rise for a given run.
There are three squares inside the triangle . Find the area of the third triangle with steps , please
Answer: 49 cm^2
Step-by-step explanation:
The length of the small pink square box will be:
L^2 = 9
L = sqrt( 9 )
L = 3
The length of the big pink square box will be:
L^2 = 16
L = sqrt( 16 )
L = 4
The length of the yellow square box will be:
4 + 3 = 7
The area of the third square box will be
A = 7^2
A = 49 cm^2
Use the distributive property to write the expression without parentheses 6(7a+6)
Answer:
42a+36
Step-by-step explanation:
6(7a+6)
Distribute
6*7a + 6*6
42a+36
Answer:
42a + 36
Step-by-step explanation:
will give brainlest pls help me with all three questions
Answer:
Hello,
Step-by-step explanation:
3)
[tex]x^2-4x+3=0\\x^2-3x-x+3=0\\x(x-3)-(x-3)=0\\(x-3)(x-1)=0\\\\x-intercepts\ are\ x=3\ or\ x=1[/tex]
4)
[tex]-x^2-8x+12=0\\x^2+8x-12=0\\(x^2+2*4x+16)-16-12=0\\\\(x+4)^2-28=0\\\\\\(x+4-2\sqrt{7} )((x+4+2\sqrt{7} )=0\\\\x-intercepts\ are \ x=-4+2\sqrt{7}\ and\ x=-4-2\sqrt{7}\\\\[/tex]
5)
[tex]f(x)=-3(x-7)(x+4)\\=-3(x^2-3x-28)\\\\=-3(x^2-2*\dfrac{3}{2} *x+\dfrac{9}{4} )+\dfrac{27}{4} +84\\\\=-3(x-\dfrac{3}{2})^2+\dfrac{363}{4} \\\\\\Vertex\ is\ (\dfrac{3}{2},\dfrac{363}{4})[/tex]
Sam spent 5 of an hour at the dentist's office. He spent to of the time in the waiting room. How much time did he
spend at the dentist's office other than in the waiting room?
0 1 / 2
of an hour
25 of an hour
of an hour
o of an hour
Answer:
We know he spent 5 sixths which is 50 minutes
Ten percent of 50 is 5
This means he spent 3 quarters of an hour in the office
Answer:
Sam spent 50 minutes at the office, and 1/10 (or 5 minutes) in the waiting room.
So, he spent 3/4 of an hour at the office but not in the waiting room.
Let me know if this helps!
Carson has a smart phone data plan that costs $35 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Carson have to pay in a month where he used 3 GB over the limit? How much would Carson have to pay in a month where he used went over by x GB?
Answer:
3 GB over: $80 x GB over: $35+$15x
Step-by-step explanation:
First, 3 GB over is 3 times 15 plus 35, which equals 80. x GB over is x times 15 plus 35, hence the answer. Hope this helps!
For using 3GB of data more, she'll be charged $80.
a. Amount charged per month = $35
Amount charged for over-usage = $15 per gb.
Therefore, when she uses 3gb more, the amount charged will be:
= $35 + ($15 × 3)
= $35 + $45.
= $80
When she uses x gb more, the amount that she'll be charged will be:
= $35 + ($15 × x)
= $35 + 15x
= 35 + 15x
Read related link on:
https://brainly.com/question/23306305
Given two consecutive integers whose sum is 45, find the smaller of the two integers.
Answer:
22 and 23
Step-by-step explanation:
let two consecutive number be
x and x+1
now,according to the question
x+x+1=45
or,2x=45-1
or,2x=44
or,x=44/2
:-x=22
Hence, the two consecutive numbers are
22 and 23
4. The function g is defined by
the value of (60) ?
Answer:
Here for the comments .
Step-by-step explanation:
3. A ship sails 35 km on a bearing of 042º.
a) How far north has it travelled?
b) How far east has it travelled?
4 A ship sails 200 km on a bearing of 243.7°
a) How far south has it travelled?
b) How far west has it travelled?
3 and 4 please
Answer:
3(a). The ship travelled in north is 26.0 km.
(b). The ship travelled in east is 23.4 km.
4(a). The ship travelled in south is -88.61 km.
(b). The ship travelled in west is -179.29 km.
Step-by-step explanation:
Given that,
(3). Distance = 35 km
Angle = 42°
Let distance in north is y km.
We need to calculate the distance
Using vertical component
[tex]y = d\cos\theta[/tex]
Put the value into the formula
[tex]y = 35\cos42[/tex]
[tex]y=26.0\ km[/tex]
Let distance in east is x km
We need to calculate the distance
Using horizontal component
[tex]x =d\sin\theta[/tex]
Put the value into the formula
[tex]x = 35\sin42[/tex]
[tex]x=23.4\ km[/tex]
(4). A ship sails 200 km on a bearing of 243.7°
Let distance in south is y km.
We need to calculate the distance
Using vertical component
[tex]y = d\cos\theta[/tex]
Put the value into the formula
[tex]y = 200\cos243.7[/tex]
[tex]y=-88.61\ km[/tex]
Let distance in west is x km
We need to calculate the distance
Using horizontal component
[tex]x =d\sin\theta[/tex]
Put the value into the formula
[tex]x = 200\sin243.7[/tex]
[tex]x=-179.29\ km[/tex]
Hence, 3(a). The ship travelled in north is 26.0 km.
(b). The ship travelled in east is 23.4 km.
4(a). The ship travelled in south is -88.61 km.
(b). The ship travelled in west is -179.29 km.