Answer: 2/10 is larger
Step-by-step explanation:
The first term of an arithmetic sequence is 10 and its common difference is negative seven.
Answer:
A+(N-1)*D
10+(N-1)*(-7)
10+(-7N+7)
10-7N+7
-7N+17
Step-by-step explanation:
using this equation you can find the rest of the numbers in the sequence
Jordan invested $97,000 in an account paying an interest rate of 1.6% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $109,700?
Answer:
t≈ 8
Step-by-step explanation:
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12
A=109700P=97000r=0.016n=12
Given values
109700=
109700=
\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}
97000(1+
12
0.016
)
12t
Plug in values
109700=
109700=
\,\,97000(1.0013333)^{12t}
97000(1.0013333)
12t
Simplify
\frac{109700}{97000}=
97000
109700
=
\,\,\frac{97000(1.0013333)^{12t}}{97000}
97000
97000(1.0013333)
12t
Divide by 97000
1.1309278=
1.1309278=
\,\,1.0013333^{12t}
1.0013333
12t
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)
log(1.0013333
12t
)
Take the log of both sides
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\color{blue}{12t}\log\left(1.0013333\right)
12tlog(1.0013333)
Bring exponent to the front
\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=
log(1.0013333)
log(1.1309278)
=
\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}
log(1.0013333)
12tlog(1.0013333)
Divide both sides by log(1.0013333)
92.3402971=
92.3402971=
\,\,12t
12t
Use calculator
\frac{92.3402971}{12}=
12
92.3402971
=
\,\,\frac{12t}{12}
12
12t
Divide by 12
7.6950248=
7.6950248=
\,\,t
t
In which quadrant does the terminal side of your angle lie if sec theta < o and cot theta < o ?
Answer:
The endpoint of an angle
x
lies in the 4th quadrant. Here is why.
First of all, let's recall a few definitions.
Recall the definition of a trigonometric function
sec
(
x
)
:
sec
(
x
)
=
(by definition)
=
1
cos
(
x
)
Recall the definition of a trigonometric function
cot
(
x
)
:
cot
(
x
)
=
(by definition)
=
cos
(
x
)
sin
(
x
)
Step-by-step explanation:
jhyjyujtyuyju
Alejandra correctly wrote the equation y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.(x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Answer:
y – 3 = 2(x – 10)
Step-by-step explanation:
Hope this helps!!!
11037
have fun figuring out what i mean
Answer:
????????????????????
Answer:
I think 11037 is a clue to tell what the murder is
Step-by-step explanation:
2. Consider the following points.
A(-2,20) and P (10,-13)
AP undergoes the translation Tox(x,y), such that A (-28, 37) and P'(-16,4).
Part A: Complete the following algebraic description.
b
(x,y) → (x +
x= x
Part B: Which of the following statements is true?
A AP and A'P' have different locations.
B AP and A'P' have different shapes.
CAP and A'P' have different sizes.
D AP and A'P' have different directions.
Answer:
Transformation: (x,y) → (x - 26, y + 17) or
[tex]T _{-26,17}[/tex](x,y) [translation]
A, since the transformation of a translation simply changes the location of a certain figure because all the points of the figure are moved the exact same way. This is because a translation is a rigid transformation.
Explanation:
Let the preimage of points A and P be A(x1,y1), and P(x2,y2). And the image of points A and P be A'(x3,y3) and P'(x4,y4).
Given points A and P are A(-2,20) and (10,-13). And points A' and P' are A'(-28,37), and P'(-16,4). The translation is found by calculating the difference between these points for the figure. (x,y) → (( x + ((x3-x1) + (x4-x2))/2), (y + ((y3-y1) + (y4-y2))/2 )). If this does not match all the points in the transformation of the figure, than it is not a rigid transformation, and so it cannot be a translation.
The simple formula for the uniform translation of a figure is : (x,y) → ((x + (x2-x1), (y + (y2-y1)) . Where x2, and y2 are part of the image, while x1, and y1 are part of the preimage. This will get you from the preimage(1) to image(2) following a translation.
Given all the points, the more complicated work is shown here:
(x,y) → ((x + ((-28--2) + (-16-10))/2), (y + ((37-20) + (4--13))/2)) = (x,y) → ((x + (-26 + -26)/2),(y + (17 + 17)/2) = (x,y) → ((x - 26),(y + 17)) = (x,y) → (x - 26, y + 17).
When writing a transformation like a translation in a function, it will look like this: [tex]T _{∆x,∆y}[/tex](x,y). ∆x,∆y are just placeholders for the change in these variables that get you from the preimage to image.
need help ASAP, failing my classes atm stuggling in math
Answer:
la respuesta es—6
esperó que te sirva
2/5 x 1 2/3
i know its easy
Answer:
2/3
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
25×53
Applying the fractions formula for multiplication,
=2×55×3
=10/15
Simplifying 10/15, the answer is
=2/3
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = abx, where f(x) represents the bone density after x years?
Answer:
Step-by-step explanation:
gud question
Determine if √4 is rational or irrational and give a reason for your answer.
Answer:
rational
Step-by-step explanation:
Because if you take the square root of 4 you get 2
if it was irrational then it would be a decimal or fraction
(plz mark braillist)
Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes. Part A How would you represent Andy's descent as a unit rate? Express your answer as an integer. Enter your answer in the box. feet per minute Part B If he continues at this rate, where will Andy be in relation to sea level after 6 minutes? feet
Answer:
A. 4 feet per minute
B. 24 feet
Step-by-step explanation:
Given that: distance = 10 feet
time = 2 1/2 minutes = 2.5 minutes
A. The descent rate is the speed with which an object descends with respect to a reference point or plane.
Speed is the rate of the distance moved to time taken.
speed = [tex]\frac{distance}{time}[/tex]
= [tex]\frac{10}{2.5}[/tex]
= 4 feet/minute
Andy's descent is 4 feet/minute.
B. If he continues at this rate, his distance in relation to sea level after 6 minutes would be;
speed = [tex]\frac{distance}{time}[/tex]
4 = [tex]\frac{distance}{6}[/tex]
distance = 4 x 6
= 24 feet
Thus, Andy would be at 24 feet in relation to sea level after 6 minutes.
Kelvin purchased two Madden 21 games for $125.00. How much did each game
cost?
Answer: 125.00$
Step-by-step explanation:
the answers in the question
Answer: $62.50
Step-by-step explanation:
125/2=62.50
I dont understand this, plz help, will mark Branliest!
Solve for x: −3|x + 7| = −12 (2 points)
x = 5 over 3 , x = − 19 over 3
x = −3, x = −11
x = −3, x = 11
Wish someone can do this for me.
Given : Two inequality is given to us . The inequality is v + 8 ≤ -4 and v - 6 ≥ 10 .
To Find : To write those two inequality as a compound inequality with integers .
Solution: First inequality given to us is v + 8 ≤ -4 . So let's simplify it ;
⇒ v + 8 ≤ -4 .
⇒ v ≤ -4 - 8.
⇒ v ≤ -12 .
Now , on simplifying the second inequality ,
⇒ v - 6 ≥ 10 .
⇒ v ≥ 10 + 6.
⇒ v ≥ 16 .
Hence the required answer will be :
[tex]\Large{\boxed{\red{\bf \blue{\dag} v\leqslant -12 \:\:or\:\:v\geqslant 16}}}[/tex]
First one implies that v is less than or equal to -12 whereas the second one implies that v is greater than or equal to 16 .
Find out if a function is linear or nonlinear from a graph.
Step-by-step explanation:
Believe it or not, we can determine whether a function is linear or nonlinear simply by looking at its graph! Because the rate at which y is changing with respect to x is constant in a linear function, the graph of a linear function is a line, as the name implies. For example, observe the graph of Sophie's function.
Answer:
Linear functions make graphs that are perfectly straight lines. Nonlinear functions have graphs that are curved.
What is x (in degrees)
Answer: 4
Step-by-step explanation:
By the exterior angle theorem,
[tex]11x+32x=172\\\\43x=172\\\\x=\boxed{4}[/tex]
Square EFGH will be translated 3 units up and 5 units right. What will be the coordinates of the image point F?
Answer:
(3,2)
Step-by-step explanation:
I hope this helps : )
Please help!
Each of these is a pair of equivalent ratios, for each pair explain why they are equivalent. 5:1 and 15:3
10.2 and 25.5
198:1,287 and 2:13
Answer:
the best way I can explain this is that you have to simplify and you get the other ratio. think of them as fractions.
Problem ID: PRA3VP4 The veterinarian weighed Oliver's new puppy, Boaz, on a defective scale. He weighed 36 pounds. However, Boaz weighs exactly 34.5 pounds. What is the percent of error in measurement of the defective scale to the nearest tenth? Do not include units, %, in your answer. Modified
Answer: 4.1%
Step-by-step explanation:
Given data:
Measure value ( actual) = 36 pounds
Expected value = 34.5 pounds
Solution:
Percentage error = Actual value - expected value / expected value * 100
= 36 - 34.6 / 34.6 * 100
= 1.4/34.6 * 100
= 0.041 * 100
= 4.1
The percentage error is 4.1%
i need help it’s algebra 2
Answer:
I sorry can't help I'm doing Geometry
A study showed that the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7 based on the ratio, how many people in a town of 900 people get there news from social media
Answer: 270 people
Step-by-step explanation:
Since the ratio of the number of people who gets there news from social media to the number of people who got there news from other sources is 3 : 7. This can be expressed in a fraction as:
Fraction of people who gets there news from social media = 3/10
Fraction of people who got there news from other sources = 7/10
If there are 900 people, number of people who gets there news from social media will be:
= 3/10 × 900
= 3 × 90
= 270 people
What is a closed line of credit?
a.
A line of credit with a set maximum credit limit.
b.
A line of credit with no interest rate.
c.
A line of credit with a fixed total amount.
d.
A line of credit with a legally mandated repayment schedule.
Answer:
c. A line of credit with a fixed total amount.
Step-by-step explanation:
EDGE 2020
Answer:
C. A line of credit with a fixed total amount.
Step-by-step explanation:
36,300,000 in scientific notation
Answer:
thirty-six million three hundred thousand
Step-by-step explanation:
It is just 36,300,000 in word form. Hope it helps!
Answer:
36300000 in scientific notation = 3.63 × 107.
Step-by-step explanation:
Find the slope of the line that passes through the points (5,10) and (7,12).
Answer:
The slope of the line is 1. The equation of the line is 1x + 5.
Step-by-step explanation:
The process is simple. It is y2 - y1 over x2 - x1. Plug in the value of the coordinates to get 12 - 10 over 7 - 5. That leaves you with 2 over 2, which is 1. If you need the equation, it is 1x + 5. Plug in the value of the coordinates to check your work.
Can someone help me on these questions for geometry sorry if the quality is bad.
Order the events from least likely (on top) to most likely (on bottom).
Answer:
so, look at the percentage, since -20 is lower, it is least likely, next is 10%, next s the 30% and last, the 4/5th. 4/5 simplified is 80% or 80 out of 100
Step-by-step explanation:
Answer:Greatest to least.
4/5
30%
10%
-20
Step-by-step explanation:
Fill in the blank with the correct number.
The number ________ is divisible by 2, 3, 4, 5, and 6.
A. 10
B. 30
C. 45
D. 60
Find the average rate of change of g(x)=3x^2 ver the interval [-5, -3].
Answer:
ill help
Step-by-step explanation:
NEED HELP ASAP, MARKING BRAINLIEST.
Solve for the value of x that makes lines r and s parallel.
Answer:
Step-by-step explanation:
y + 140 = 180 {linear pair}
y = 180 - 140
y = 40
If any pair of exterior angles are congruent , then the lines r and s will be parallel
5x - 5 = 40
5x = 40 + 5
5x = 45
x = 45/5
x = 9
The value of x = 9 will make lines r and s parallel.
wich of the following is a factor of x^4-8x^2+16
Answer:
(x-2)^2 x (x+2)^2
Step-by-step explanation: