Answer:
a5=10
Step-by-step explanation:
a1=2 a2=4 a3=6 a4=8 a5=10
The value of the 5th term of the arithmetic sequence will be 22.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
The value of the first term is 2. Then the value of the 5th term is calculated as,
a₂ = a₁ + 5
a₂ = 2 + 5
a₂ = 7
a₃ = a₂ + 5
a₃ = 7 + 5
a₃ = 12
a₄ = a₃ + 5
a₄ = 12 + 5
a₄ = 17
a₅ = a₄ + 5
a₅ = 17 + 5
a₅ = 22
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
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Choose the best explanation that describes in words what the numerical value of the slope tells you.
a. Every increase in coral growth of one centimeter will result in an average of 5.25 fewer degrees Celsius of sea surface temperature per year.
b. Every increase in coral growth of one centimeter will result in an average of 5.25 more degrees Celsius of sea surface temperature per year.
c. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 more centimeters of coral growth per year.
d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.
Data for the question :
Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1
Growth 0.85 0.85 0.79 0.86 0.89 0.92
Answer:
d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.
Step-by-step explanation:
Given the data :
Surface Temperature (X) : 26.7 26.6 26.6 26.5 26.3 26.1
Growth (Y) : 0.85 0.85 0.79 0.86 0.89 0.92
Using a regression calculator, we can find the model equation and extract the slope :
The regression equation obtained is :
y=5.039-0.1578x
From y = mx + c
Where m = gradient or slope
c = intercept
x and y are predictor and predicted variables respectively.
Hence, the gradient or slope (m) of the model = - 0.157. We have a negative slope, hence, increase in x will result una decrease in y.
The slope thus means: for every 1 degree increase in sea surface temperature (x), there is an average decline of about 0.1578 cm in growth per year.
Find mo 8 5 m n o
Mo=
Answer:
MO is 13 units
Step-by-step explanation:
If point lies on a segment, then this point divides the segment into two parts, the sum of their lengths equals the length of the segment
∵ Point N ∈ segment MO
→ That means point N divide segments MO to two parts MN and NO
∴ Point N divides segment MO into two parts MN and NO
→ That mans the length of segment MO equals to the sum of
lengths of MN and NO
∴ MO = MN + NO
∵ MN = 8 units
∵ NO = 5 units
∴ MO = 8 + 5
∴ MO = 13 units
Solve each proportion for x. Round to the nearest tenth.
117/45=x/95
Answer: x=247
Step-by-step explanation:
1. Set up the equation
117/45=x/95
2. Cross multiply
117(95) = 11115
45(x)= 45x
3. Set both equal to each other
11115=45x
4. Divide 45 on each side
11115/45 = 45x/45
5. Solve for x
x=247
Hope this helps :)
-Morgan
a, = 8 + 2(n - 1).
Dose anyone know this.
5624/6 with a remainder
Answer:
937.333
Step-by-step explanation:
Answer:
937.33 (rounded. Real answer: 937.333333)
Step-by-step explanation:
5,624 ÷ 6 = 937.33 (rounded since the real answer was: 937.333333)
2x+3y=10 8x+Ay=B
What Is the vaule of B
Which one is > greater or < less than or = equal to?? 6+√8____√6+8
[tex]\huge\boxed{\sqrt{6}+8\;is\;greater\;than \;6+\sqrt{8} }[/tex]
[tex]6+\sqrt[]{8} =8.82\\\sqrt{6}+8=10.44\\\\\boxed{Therefore, \sqrt{6}+8\;is\;greater\;than\;6+\sqrt{8}. }[/tex]
Write 9/18 as a decimal. Identify the decimal as terminating or repeating.
a. 0.5; repeating
b. 0.9; terminating
c. 0.5; terminating
d. 1; repeating
Answer:
it is c
Step-by-step explanation:
Answer:
C.) 0.5; Terminating
Step-by-step explanation:
Answer:
918=0.5
Showing the work
You can first reduce this fraction by dividing both the numerator and denominator by the Greatest Common Factor of 9 and 18 using
GCF(9,18) = 9
9÷918÷9=12
We know that
12
is the same as
1÷2
Then using
Long Division for 1 divided by 2
=0.5
Hope I helped
Brainliest plz
How many lines of symmetry does this figure have?
Pls help
Answer:
4
Step-by-step explanation:
This figure has 4 lines of symmetry
all drop down menus are 0-9
use drop down menus to complete each equation so the statement about its solution is true.
Answer: 5-4+7x+1 = [7]x+[not 2]
5-4+7x+1 = [not 7]x+[any number]
5-4+7x+1 = [7]x+[2]
Please help!
Choose 1 answer:
Monday
Tuesday
Wednesday
Thursday
HELP ME ASAP!!! I WILL MARK BRAINLIEST!!
Jonathan purchases 15 pounds of bananas for $.49 a pound. How much did Jonathan pay
for his bananas?
Answer:
$7.35
Step-by-step explanation:
To find the answer to this question, you would need to multiply 15 times .49 which would equal 7.35
Find the x-intercept in the function: 3x-2y =6
Answer:
x=(2,0)
Step-by-step explanation:
3x-2y=6
3x-2(0)=6
3x=6
x=2
which postulates make these triangles congruent
Answer: 1) ASA
2) AAS/SAA
3) Not possible
Step-by-step explanation: 1 is asa because it has 2 angles and a side that are on the same line. 2 is aas/saa because it has a side then two angles. 3 is not possible because it’s ssa and ssa is not used to prove triangles congruent
Darin needs to know the price per pound of clementines. What needs to change in the table so that the data on clementines is in units of pounds and cost?
Answer:
the table gives the cost for the number of three pounds bag of clemintines we need to change the number of bags to pounds to get the data or clemintines in units of pounds and cost.
Answer:
The table gives the cost for the number of three-pound bags of clementines. We need to change the number of bags to pounds to get the data for the clementines in units of pounds and cost.
Step-by-step explanation:
THIS IS THE SAMPLE ANSWERPLEASE HELP ME IM BEGGING YOU!!!
FIND THE VALUE OF X
84 I'm sure it's that I did it before
Question
5°F - 32)
The function to convert Fahrenheit to Celsius is °C = (°F) =
The inverse function will
9
convert Celsius to Fahrenheit. What is the inverse function? Complete the explanation of how
determining this inverse is different than determining the previous inverses.
The inverse function is °F = -(°C)=
The F and °C (select) V need to be switched like the x and y did in the previous functions.
(select) degree measures, and because of the real-world relationship, switching them
(select) ✓ make sense.
Answer:
[tex]F = \frac{9C + 32}{5}[/tex]
Step-by-step explanation:
Given
[tex]C = \frac{(5F - 32)}{9}[/tex]
Required
Determine the inverse function
[tex]C = \frac{(5F - 32)}{9}[/tex]
Make F the subject of formula:
Multiply through by 9
[tex]9C = 5F - 32[/tex]
Add 32 to both sides
[tex]9C + 32= 5F[/tex]
Divide through by 5
[tex]\frac{9C + 32}{5}= F[/tex]
[tex]F = \frac{9C + 32}{5}[/tex]
a horizontal line , such as y=4, has a slope of what
Answer:
0
Step-by-step explanation:
A horizontal line has a slope of zero and a vertical line has an undefined slope
Island Water Sports provides rental equipment and instruction for a variety of water sports in a resort town. On one morning, a decision must be made on how many Wildlife Raft Trips and how many Group Sailing Lessons should be scheduled. Each Wildlife Raft Trip requires one captain and one crew person and can accommodate six passengers. The revenue per raft trip is $120. Ten rafts are available, and at least 30 people are on the list for reservations this morning. Each Group Sailing Lesson requires one captain and two crew people for instruction. Two boats are needed for each group. Four students form each group. There are 12 sailboats available, and at least 20 people are on the list for sailing instruction this morning. The revenue per group sailing lesson is $160. The company has 12 captains and 18 crew available this morning. The company would like to maximize the number of customers served while generating at least $1800 in revenue and honoring all reservations. Define the decision variables as follows and formulate the problem as a linear program. Let x be the number of Wildlife raft Trips to be scheduled. Let y be the number of Group Sailing Lessons to be scheduled.
The following constraints complete the problem:
120x + 160y ≥ 1800 (1)
x ≤ 10 (2)
2y ≤ 12 (3)
6x ≥ 30 (4)
4y ≥ 20 (5)
x + y ≤ 12 (6)
x + 2y ≤ 18 (7)
1) What does constraint (1) represent?
A) The maximum number of captions who can be deployed.
B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
2) What does constraint (4) represent?
A) The maximum number of captions who can be deployed.
B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
3) What does constraint (6) represent?
A) The maximum number of captions who can be deployed.
B) The maximum number of crews who can be deployed.
C) The minimum revenue requirement.
D) The maximum quantity of the rafts available.
E) The maximum quantity of the sailboats available.
F) The demand of raft trips that must be satisfied.
G) The demand of sailing lessons that must be satisfied.
Answer:
1) C
2) F
3) A
Step-by-step explanation:
Given that : X = number of Wildlife raft Trips to be scheduled.
while Y = number of Group Sailing Lessons to be scheduled.
1) Constraint (1) : 120x + 160y ≥ 1800
Represents the Minimum revenue requirement
2) Constraint (4) : 6x ≥ 30
Represents The demand of raft trips that must be satisfied.
3) Constraint (6) : x + y ≤ 12
Represents The maximum number of captions who can be deployed.
Three workers arrive at work 15 minutes late, at a cost of $11 hour.
Answer:
They earned 8.25
Step-by-step explanation:
If they arrived late 15 minutes, then they lose a 1/4 of the pay. So they'd be making $8.25, and not the full $11 for that first hour.
The temperature at 2:00 AM was -15° Fahrenheit. The temperature rose by 3 ° each hour. What was the temperature at 6:00AM?
Answer:
9 degrees farenehit
Step-by-step explanation:
=====================================================
Explanation:
x = number of hours since 2 AM
y = temperature in degrees Fahrenheit
The starting temperature is -15 degrees, so the y intercept is b = -15.
The temperature goes up 3 degrees each hour, so the slope is m = 3
The equation is y = 3x-15
Now plug in x = 4 since 6 AM is four hours after 2 AM.
We get the following
y = 3x-15
y = 3*4-15
y = 12-15
y = -3
The temperature at 6 AM is -3 degrees Fahrenheit.
-------------------------
Check:
Start at -15 and add 3 for each hour
It might help to make a number line.
2 AM = -15 degrees
3 AM = -12 degrees
4 AM = -9 degrees
5 AM = -6 degrees
6 AM = -3 degrees
This confirms the answer.
The correct Standard Form of the equation y=3/2x+3
Answer:
3x-2y=-6
My mom listening to wap
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Solve for x and y in the equation.
xy=80 and log x - 2 log y =1
9514 1404 393
Answer:
(x, y) = (40, 2)
Step-by-step explanation:
Taking the antilog of the second equation, we have ...
x/y^2 = 10
x = 10y^2
Substituting this into the first equation gives ...
(10y^2)y = 80
y^3 = 8 . . . . . . . . divide by 10
y = 2 . . . . . . . . . . cube root
x = 10·2^2 = 40
The solution is (x, y) = (40, 2).
∠A and ∠B are supplementary. m∠A = (6x + 12) , m∠B = (x + 28). Find the measure of each angle.
I need help !!!!!In the figure shown
Answer: it is D
Step-by-step explanation:
one fourth of a number is 12 find the number
Answer:
48
Step-by-step explanation:
If 12 is one-fourth of a number, just multiply 12 by four to find the whole number.
12 x 4 = 48
You could have also set this up as an equation
12 = 1/4x
And then divide 12 by one-fourth
12/(1/4) = 48
Find the value of x
PLEAASEEE HELP!!!
Answer:
x = 37
Step-by-step explanation:
4x + 3 + x - 8 = 180
4x + x - 8 + 3 = 180
5x - 5 = 180
5x = 185
x = 37
Hope this helps!
Find the Slope And Y- Intercept .
Answer:
slope= 3/4
y intercept= 1/2
Step-by-step explanation:
First find the slope using the formula y2-y1/x2-x1.
the points given: (-6,-4) and (2,2)
so plug in the points into the formula and you'll have:
2-(-4)/2-(-6)=
2+4/2+6=
6/8=
3/4
to find the y intercept, use the formula y-y1=m(x-x1)
y+4=3/4(x+6)
y+4=3/4x+9/2
y=3/4x+1/2