Answer:
The answer is below
Step-by-step explanation:
Select the quadrant in which the terminal side of the angle falls.
210° terminates in quadrant
-150° terminates in quadrant
390° terminates in quadrant
Solution:
The x and y axis divides the cartesian plane into four equal parts known as the four quadrants.
Angles between 0° and 90° are in the first quadrant, angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant while angles between 270° and 360° are in the fourth quadrant.
a) Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.
b) -150° = 360 - 150 = 210°. Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.
c) 390° = 390° - 360° = 30°.
Since 30 degrees is between 0° and 90°, hence it terminates in the first quadrant.
Answer:
a. quadrant III
b. quadrant III
c. quadrant I
Step-by-step explanation:
correct on edge 2022
Lincoln invested $2,800 in an account paying an interest rate of 5\tfrac{3}{8}5
8
3
% compounded continuously. Lily invested $2,800 in an account paying an interest rate of 5\tfrac{7}{8}5
8
7
% compounded quarterly. After 15 years, how much more money would Lily have in her account than Lincoln, to the nearest dollar?
Answer: 445
Step-by-step explanation:
Lincoln’s Final Amount:
Compounded Continuously: A=Pe^rt
P= 2800
r= 0.05375
t=15
A=2800e^0.05375(15)
A=2800e^0.80625
A=6270.5833
Lily’s final amount:
Compounded quarterly:
A=P(1+r/n)^nt
P=2800
r=0.05875
t=15
n=4
A=2800(1+ 0.05875/4)^4(15)
A=2800(1.0146875)^60
A=6715.7829
How much more money does Lily have?
6715.7829-6270.5835
=445.1994
The money would Lily have in her account than Lincoln, to the nearest dollar 445.
We have to determine the compound interest Lincoln’s final amount
Compounded Continuously
A=Pe^rt
P= 2800
r=0.05375
t=15
A=2800e^0.05375(15)
A=2800e^0.80625A=6270.5833
What is the formula for compound interest?
A=P(1+r/n)^nt
P=2800
r=0.05875
t=15
n=4
A=2800(1+ 0.05875/4)^4(15)
A=2800(1.0146875)^60
A=6715.7829
=6715.7829-6270.5835
=445.1994
Therefore money would Lily have in her account than Lincoln, to the nearest dollar 445.
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HELP PLEASE!!!!!!!!!!
Volunteers at Sam's school use same of the student council's savings for a special project. They buy 3 backpacks for $6 each and fill each backpack with paper and pens that cost $6. By how much did the students council's savings change because of this project?
Which statement is true about the expression 4 (9+6)?
A: the expression has two factors
B: the expression has three coefficients
C: the expression has one variable
D: the expression has two variable terms
(YOULL BE MARKED BRAINLIST PLSSSS HELP)
i need some help on my exit ticket lol
Answer:
The area of a circle can be found using the formula [tex]A=\pi r^2[/tex]
Step-by-step explanation:
If Measure of angle a is 155°, what is Measure of angle c? Line l intersects line m to form 4 angles. Clockwise, from the top, the angles are: a, b, c, d. 25° 35° 155° 180°
Answer:
c. 155
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I took the test. Im sorry for the late response.
Can someone help? Will mark Brainliest
Answer: The answer is the 3rd one
Step-by-step explanation:
9514 1404 393
Answer:
(d) AE = (32√6)/3
Step-by-step explanation:
The side length ratios in a 30-60-90 triangle are 1 : √3 : 2. In a 45-45-90 triangle, they are 1 : 1 : √2.
So, we have the side length ratios ...
CE : CD = 2 : √3
BE : CE = √2 : 1
AE : BE = 2 : √3
Then the ratio AE : CE is ...
[tex]\dfrac{AE}{CD}=\dfrac{2}{\sqrt{3}}\cdot\dfrac{\sqrt{2}}{1}\cdot\dfrac{2}{\sqrt{3}}=\dfrac{4\sqrt{2}}{3}[/tex]
Multiplying by the length of CD, we have ...
AE = (8√3)(4√2)/3
AE = (32√6)/3 . . . . . matches the last choice
what is a decimal that is equivalent to the fraction 9/100
Answer:
0.09
Step-by-step explanation:
9/100 as a decimal is 0.09.
Answer:
0.09!
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
0.09 is your answer!
Hope this helped.
Signed ~Jaz~
If x = 3 and y= -2, then
7x — Зу
2x + y
Answer:
(7 *3 -3*(-2))/(2*3+(-2)) = 6.75
Step-by-step explanation:
Solve and
graph this
inequality.
-3x>15
Answer:
x > -5
Step-by-step explanation:
-3x > 15
divide by -3
x > -5
Answer: x<-5
Step-by-step explanation:
First, we must isolate x in order to graph the inequality properly. To solve for x, you must divide each side by -3. Because you are dividing by a negative number, you must switch the side around. So, the inequality would be [tex]x<-5[/tex]t.To graph this, you must put a veritcal dotted line (since the equation has a less than symbol) and shade to the left (this shows all the possiblilties of what x could be. Or, if you were to graph it on a number line, put an open circle on -5 and draw an arrow left from the dot. Hope this helps!
lani used 2 3s cup of raisins,3 8s cup of cranberries, and 3 4s cup of oatmeal to bake cookies. Which ingredient did lani use least amount of?
Answer:
Step-by-step explanation:
To compare the fractions, give them a common denominator.
⅔ = 16/24
⅜ = 9/24
¾ = 18/24
⅜ < ⅔ < ¾
Which equation can be rewritten as x + 4 = x2?
Assume x>0.
O √x+2=x
O √x+2 = X
O √x+4 = X
O √x2 + 16 = X
Which equation can be rewritten as x + 4 = x2?
Right ans is √x+4 = x
❣️
The equation x + 4 = x² will be written as √( x+2 ) = x. The correct option is B.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The given expression is x + 4 = x². The given expression will be simplified as below,
x + 4 = x²
Remove the square and apply the square root on the left side of the equation.
x = √ ( x + 4 )
Therefore, the equation x + 4 = x² will be written as √( x+2 ) = x. The correct option is B.
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The volume of the rectangular pyramid is ___ cubic units.
Answer:
600 cubic units.
Step-by-step explanation:
The formula for a rectangular pyramid is[tex]V=\frac{lwh}{3}[/tex] or volume is equal to length x width x height divided by 3. The length is 15, the width is 10, and the height is 12. This equals to 1800, then we divide it by three for the answer.
A large quantity of waste material contains metal. At the successive passes through a recovery
process the mass of the metal recovered is:
32kg at the first pass,
24kg at the second pass;
18kg at the third pass;
13,5kg at the fourth pass, and so on, to form a geometric sequence,
1. How much metal would be recovered at the eighth pass?
(Round off the answer to TWO decimal places)
Answer:
The amount of metal recovered at the eight pass is approximately 4.27 kg
Step-by-step explanation:
The mass of metal recovered formed the following geometric sequence;
32 kg, 24 kg, 18 kg, 13.5 kg
∴ The first term, a = 32 kg
The common ratio in the geometric sequence is found as follows;
r = a·r/a = 24 kg/(32 kg) = 0.75
r = a·r²/a·r = 18 kg/(24 kg) = 0.75
r = a·r³/a·r² = 13.5 kg/(18 kg) = 0.75
The mass of the metal recovered in the eight pass will be the 8th term of the geometric series given as follows;
nth term = a·rⁿ⁻¹
a = 32, r = 0.75, n = 8
∴ 8th term = 32·(0.75)⁸⁻¹ = 32·0.75⁷ = 2187/512 ≈ 4.27
The amount of metal recovered at the eight pass ≈ 4.27 kg.
The eight term of the geometric sequence is 4.27.
Geometric sequenceA geometric sequence is in the form:
aₙ = ar⁽ⁿ⁻¹⁾
where aₙ is the nth term, a is the first term and r is the common difference.
Given that a = 32, r = 24/32 = 0.75
The eight term is a₈ = 32(0.75)⁸⁻¹ = 4.27
The eight term of the geometric sequence is 4.27.
Find out more on Geometric sequence at: https://brainly.com/question/9300199
HELP PLEASE 24 POINTS
will mark the best awnser :)
Answer:
15 square feet
Step-by-step explanation:
i need help due asap
Step-by-step explanation
the third one
Step-by-step explanation:
Let's solve for y.
8x−3y>11
Step 1: Add -8x to both sides.
8x−3y+−8x>11 −8x −3y>−8x+11
Step 2: Divide both sides by -3.
−3y/−3 > −8x+11/−3
y<8/3x−11/3
Answer:
y<8/3x−11/3
Inez has $72 to buy video games each game costs $9 how many video games can Inez buy
Answer:
8
Step-by-step explanation:
1 video game = 9
? = 72
72/9=8
Answer:
8
Step-by-step explanation:
Please help!! I don’t understand how to do this problem
Answer:
D.
Step-by-step explanation:
[tex]y = 3x \\ \frac{y}{3} = x \\ \\ \frac{3y}{3} + 2y = 45 \\ y + 2y = 45 \\ 3y = 45 \\ y = \frac{45}{3} \\ y = 15 \\ \\ x = \frac{y}{3} \\ = \frac{15}{3} \\ = 5[/tex]
***PLEASE HURRY***
***WILL MARK BRAINLEST***
Find the y-intercept for the parabola defined by this equation: y = -x^2 - 2x + 3 separate the values with a comma
Answer:
y-intercept is (0, 3)
Step-by-step explanation:
To find the y-intercept, substitute in 0 for x and solve for y.
What is the horizontal distance
(tricky, pay attention to the scale on the graph)
Answer:
2
Step-by-step explanation:
Anyone know the correct answer to this?
Answer:
It should be y=4x-7
Step-by-step explanation:
M is the slope meaning Δx over Δy or rise over run
So if you look at (2,2) and count up to (3,6) the rise is 4 and the run is 1 meaning the slope is 4.
B is the y- intercept so then it would just be -7.
9514 1404 393Answer:
y=4x-6
Step-by-step explanation:
The line intersects the y-axis at y=-6, so that is the value of 'b' in the slope-intercept form.
The horizontal difference between marked points is 1 unit; the vertical difference is 4 units. That means the slope is . . .
m = rise/run = 4/1 = 4
Filling in these values (m=4, b=-6), we get ...
y = 4x -6
don’t answer if you don’t know
screenshot attached on the bottom
Answer: 1st circle 0.42n
Step-by-step explanation:
Answer:
p=0.42n
Step-by-step explanation:
Im not sure but if you do 2.52 divided by 6 you get 0.42 so my answer is A (p=0.42n)
Difference of two whole numbers is 33 and its ratio is 2:5 then find those
numbers.
Answer:
Step-by-step explanation:
Let the two whole numbers be 5x and 2x then
by the question
5x - 2x = 33
3x = 33
x = 33/3
x = 11
Therefore the numbers are
5x = 5*11 = 552x = 2*11 = 22hope it helps:)
Find the missing sides of the triangle. Leave your answers in simplest radical form.
Answer5
34
Step-by-step explanation: 45
What is the value of x in the figure below?
Answer:
x = 10
Step-by-step explanation:
How do you find an exponential growth model
Answer:
When the line of the graph is going up
Step-by-step explanation:
When the line is going down that means its a exponential decay :)
Find the time.
I = prt
Principal: $500
Rate: 5%
Interest earned: $25
Time: ?
Answer:
1 year
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
t = 25 / ( 500 × 0.05 ) = 1
t = 1 years
The time required to
accumulate simple interest of $ 25.00
from a principal of $ 500.00
at an interest rate of 5% per year
is 1 year.
Is 14 19 23 a right triangle
Answer:no
Step-by-step explanation: because it is an acute triangle
evaluate - |-7+3| please
Help
ASAP
Answer:
-|-4|
any number when we out from abslute value becomes positive so
-(4)=-4