Answer:
a(31) =125
Step-by-step explanation:
d=9-5=13-9=4
then it is an arithmetic sequence
a(n) = a1 +(n-1)d
a(n) = 5 +(n-1)4
a(31) = 5 +(31-1)4
=125
hope this helps
Complete the point-slope equation of the line through (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis and (7,4)(7,4)left parenthesis, 7, comma, 4, right parenthesis. Use exact numbers. y-4=y−4=y, minus, 4, equals
Answer:
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (2,3)[/tex]
[tex](x_2,y_2) = (7,4)[/tex]
Required
Complete the equation y - 4.....
First, we need to determine the slope as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4 - 3}{7 - 2}[/tex]
[tex]m = \frac{1}{5}[/tex]
The equation is then calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 4 = \frac{1}{5}(x -7)[/tex]
Open bracket
[tex]y - 4 = \frac{1}{5}x -\frac{7}{5}[/tex]
Add 4 to both sides
[tex]y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x +\frac{-7+20}{5}[/tex]
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Answer:
y - 4 = 1/5 ( x - 7 )
Step-by-step explanation:
Khan Academy
Which would produce a larger balance: an annual interest rate of 8.05% compounded monthly or an annual interest rate of 8% compounded continuously? Explain.
Answer:
8% compounded monthly has higher yield
Step-by-step explanation:
Here, we want to compare which of the two options would give a higher yield
An interest rate of 8% compounded monthly or 8% compounded annually
Let us say we are looking at a time frame of two years
If compounded monthly, since there are 12 months in a year, there would have been a compounding of 12 * 2 = 24 times
While if it is annual, we would have only twice
The higher the number of times we compound, the more the return
PLS HELP ASAP I DONT HAVE TIME IT ALSO DETECT IF ITS RIGHT OR WRONG!!
Answeefefeefefeefefe
lanation:
anwer it on ur, own nah im just kidding bruh i gatchu
i think it would be 24.3 because the shadow is being cast farther than the tree to you would want to divide the shadow of the mailbox by the actual height of the mailbox then times that by tree
Fraction math problems, have lots tonight need help for some
Answer:
5
Step-by-step explanation:
Factor the following polynomial: 12y5 – 8y3 + 24y2
A. 8y(2y4 – y2 + 3y)
B.4y2(3y3 – 2y + 6)
C. 4(3y5 – 2y3 + 6y2)
D. 4y(3y4 – 2y2 + 6y)
Answer:
The answer is B.
Step-by-step explanation:
12y5−8y3+24y2
=4y2(3y3−2y+6)
yall I need help QUICK
Write an equation of a line that passes through the x-intercept 4 with slope -3
PLEASE HELP
Answer:
y=-3x-12
Step-by-step explanation:
:)
What best describes the expression 6 over y? (1 point)
A. 6 times some number
B. 6 divided by some number
C. 6 minus some number
D. 6 more than some number
Brainliest goes to the first answer, thank you!
What is the value of the expression
3/5 (x-8) - y
When x=15 and y=1/10
A 11/10
B 21/10
C 31/10
D 41/10
Answer:
D 41/10
Step-by-step explanation:
substitute the values given into the equation. Calculate.
Answer:
D: 41/10
Step-by-step explanation:
Snare Drum
Backbeats
Bass Guitar
Notes
3
2
90
60
120
80
Part A. Are the two quantities proportional? Justify your answer.
Yes they because they have the same constant proportionality.
Part B. What is the constant of proportionality? *
0.77
Answer : what do i answer
Step-by-step explanation:
At what time is Ann driving 35 mph? show the work that leads to your answer
Answer:
at 6 minutes and 8.25 minutes
Step-by-step explanation:
When the time reaches 6 minutes, the line touches 35mph. Same goes for 8.25 minutes.
Construct a triangle ABC, right angled at B and the sides BC = 4cm and AC = 5cm. Measure side AB.
Answer:
3
Step-by-step explanation:
What are the coordinates of the center and the
length of the radius of the circle whose equation is
(x + 1)² + (y – 5) = 16?
1) (1,-5) and 16
2) (-1,5) and 16
3) (1,-5) and 4
4) (-1,5) and 4
Answer:
I think 3 not sure don't angry if wrong
What is the solution of the system of equations? Y=x-4 and y=-3x
Answer:
(-7,-3)
Step-by-step explanation:
step one) solve one equation for x.
y=-3x
-3x/-3=y/-3
x=(-y/3)
step two) plug in x for the other original problem.
y=x-4
y=(-y/3)-4
step three) solve for y.
y=(-y/3)-4
y+4=(-y/3)-4+4
3*(y+4)=(-y/3)*3
3y+12=-y
(3y+12)-3y=-y-3y
12/-4=-4y/-4
y=-3
step four) plug in -3 for y and solve for x.
y=x-4
-3=x+4
-3-4=x+4-4
-7=x
I am in algebra two so you can trust my answer. if you need more help lmk in the comments. happy holidays and stay safe!
If Clare earns $75 the next week from delivering newspapers and deposits it in her account, what will her account balance be then? her account balance is $-50 to start out with
Answer:
25
Step-by-step explanation:
because 75 - 50 = 25
The Clare account balance after the deposit of $75 will be $25.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
As per the given,
The account balance initial = -$50
The amount of deposition = $75
Total amount = -$50 + $75
⇒ $25
Hence"The Clare account balance after the deposit of $75 will be $25".
For more about subtraction,
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help!! i'll give brainliest
Answer:
Im pretty sure D
Step-by-step explanation:
PLZ do all of it plz i will give brainlest and thanks to best answer
Answer:
1. -4
2. 10
3. -19
4. 5
Step-by-step explanation:
1. 5 + -9= -4
2. -3 + 13 = 10
3. -8 + 11 = -19
4. 6 + -1 = 5
What does a graph look like when y=-2+5?
Can someone help me in this question
Answer:
The average speed of the athlete for the entire competition is approximately 21.23 km/hr
Step-by-step explanation:
The given parameters of the athlete performance in the triathlon are;
The length the athlete swims = 750 m = 0.75 km
The time the athletes spends swimming = 15 minutes = 0.25 hours
The speed with which the athlete cycles = 40 km/hr.
The time the athletes spends while cycling = 30 minutes = 0.5 hours
The distance the athlete ran = 5 km
The average speed with which the athlete ran = 3 m/s = 10.8 km/hr.
The formula for average speed, s is Average speed = Total distance/(Total time)
The distance, ∑d, the athlete covered in the entire competition is given as follows;
∑d = 0.75 km + 0.5 hr. × 40 km/hr. + 5 km = 0.75 km + 20 km + 5 km = 25.75 km
The distance, ∑t, the athlete spends in the entire competition is given as follows;
∑t = 0.25 hr. + 0.5 hr. + 5 km/(10.8 km/hr.) = 0.25 hr. + 0.5 hr. + 0.463 hr. ≈ 1.213 hr.;
Therefore;
The average speed of the athlete for the entire competition, s = ∑d/∑t = 25.75 km/(1.213 hr.) ≈ 21.23 km/hr.
Each angle is bisected by the ray. Solve for x please!!
Answer:
See answers below
Step-by-step explanation:
The Bisector Angle Theorem basically states that if a bisector cuts the middle of an angle, the two angles that it creates will be equal to each other.
Therefore:
#7 -> x=38
#8 -> x=144
#9 -> 2x=84 -> x=42
#10 -> x+3=30 -> x=27
Which graph can be defined by the function y = -3x + 2
Answer:
Step-by-step explanation:
Write 5.5% as a fraction in simplest form
Answer:
11/200
Step-by-step explanation:
5.5% = 5.5/100 = 0.055
0.055 1000
———- X ———
1 1000
=55/1000
=11/200
what is y equal to 2x + 4y = -18
Slope = -1/2
Y intercept = -9/2
=====================================================
Work Shown:
2x + 4y = -18
2(x+2y) = -18 .... factor out 2
x+2y = -18/2 .... divide both sides by 2
x+2y = -9
2y = -9-x .... subtract x from both sides
2y = -x-9
y = (-x-9)/2 ... divide both sides by 2
y = (-x/2) - (9/2) ... break up the fraction
y = (-1/2)x - 9/2
The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.
Answer:
Step-by-step explanation:
2x + 4y = -18
2(x+2y) = -18 .... factor out 2
x+2y = -18/2 .... divide both sides by 2
x+2y = -9
2y = -9-x .... subtract x from both sides
2y = -x-9
y = (-x-9)/2 ... divide both sides by 2
y = (-x/2) - (9/2) ... break up the fraction
y = (-1/2)x - 9/2
The last equation is in slope intercept form y = mx+b with m = -1/2 as the slope and b = -9/2 as the y intercept.
Marsha is changing her phone
service. One data package charges
an initial fee of $50 and $13.25 per
month. The other has no initial fee
but charges $25.75 per month for
the same data package. After how
many months would Marsha have
paid the same amount for either
data package?
Someone help me plz quickly
month 4: 13.25*4=53. 53+50 = 103
month 4: 25.75*4 = 103
They both cost $103 on month 4
help guys yes if same amount then no if not same amount
Answer:
1a. yes
2a. yes
3a. yes
4a. yes
5a. yes
6a. yes
7a. yes
sorry, i'm not sure about any of these.
1c. yes
Each of five, standard, six-sided dice is rolled once. What is the probability that there is at least one pair but not a three-of-a-kind (that is, there are two dice showing the same value, but no three dice show the same value)
Answer:
The probability that there is at least one pair but not a three of a kind is 0.6944.
Step-by-step explanation:
We have the case when we have five dices and we roll them and we need that there is at least one pair but not a three of a king which is Two dice showing the same value, but no three dice showing the value.
Total no of outcomes = [tex]6^5 = 7776[/tex]
We will consider the other cases and then subtract them from the total outcomes.
No of outcomes of 5 of a kind = 6
No of outcomes 4 of a kind and 1 different = (6*5)*5 = 150
No of outcomes with 3 of a kind and 1 different pairs = (6*1*1*5*1)*5C2= 300
No of outcomes with 3 of a kind and two different = 6*5*4*10= 120*10=1200
No of outcomes when all are different = 6! = 720
These all the cases when subtracted from the total will represent the total cases in which there are two dice showing the same value.
Total cases = 6+150+300+1200+720
= 2376
Required no of outcomes = 7776-2376 = 5400
Probability = [tex]\frac{5400}{7776}[/tex] = 0.6944
Therefore the probability for the case of at least one pair but not a three of a kind is 0.6944.
A company uses 6,000 gallons of
water each month. If they reduce their
monthly water use by 12%, how much
water will be saved each month?
Answer:
5280
Step-by-step explanation:
a= -3i
g=2i - 1lj
Find: -a - g
Answer:
Step-by-step explanation:
Given:
a= -3i
g=2i - 1lj
Solve:
-a - g
If l is an L then
-(-3i) - (2i-1lj)
i + lj
If I is an i then
-(-3i) - (2i-1ij)
i + ji
which pair of triangles can be proven congruent by the HL theorem?
Answer:
the middle one because HL is hypotenuse-leg and the middle one is the one that has a congruent hypotenuse and a congruent leg
(HL theorem only works with a right triangle)
Step-by-step explanation:
The pair of triangles that can be proven congruent by the HL theorem is the triangles in the middle.
Calculations and ParametersAccording to the HL Theorem:
A triangle would contain:
A hypotenuse-legCongruent hypotenuseCongruent leg.Therefore, we can see that the pair of triangles in the middle of the diagram are congruent through the HL theorem as they satisfy the conditions.
Read more about congruence here:
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This week, Tori ate 600 g of cheerios cereal.
That was 150% as much cereal as she ate last
week. How much cereal did Tori eat last week?
600 g is 150% of what number?
Step-by-step explanation:
600=150%
?= 100%
crossmultiplication
=400
600g=150%x
600 is therefore 150% of 400
Bottles of sparkling water usually cost $1.69 each. This week they are on sale for 4 for $5 You bought one last week and one this week. Did you pay more or less for the bottle this week?
Given:
Usual cost of a bottle of sparkling water = $1.69 each
This week they are on sale for 4 for $5.
To find:
Did you pay more or less for the bottle this week?
Solution:
We have,
Usual cost of 1 bottle = $1.69
On sale, cost of 4 bottles = $5
On sale, cost of 1 bottles = [tex]\dfrac{\$5}{4}[/tex]
= $1.25
Since, $1.25 is less than $1.69, therefore the unit cost on sale is less than usual unit cost.
Hence, you pay less for the bottle this week.