The doctor told her patient that every day he needs
to consume more than 1800 but less than 1900 calories.
Write an inequality representing the possible amount of
calories the patient could cconsume.
Write the first three terms of the sequence defined by the recursive formula if a1=2.
a_n= a_n-1 / 4 - 2
The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
Given:
[tex]an = \frac{an - 1}{4} - 2[/tex]
where,
n = number of terms
First term, a1 = 2
Second term, a2
[tex]an = \frac{an - 1}{4} - 2[/tex]
a2 = {(2 - 1)/ 4} - 2
= 1/4 - 2
= (1-8) / 4
= - 7/4
Third term, a3
= {(3-1) / 4} - 2
= 2/4 - 2
= 1/2 - 2
= (1-4) / 2
= -3/2
Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
Learn more about sequence:
https://brainly.com/question/6561461
Answer:
a1 = 2
a2 = -3/2
a3 = -19/8
Explanation:
a_n-1 means the last term.
So if a1 = 2, a2-1 is the same thing as a1, which is 2. So a2 = 2/4 - 2. a2 = -3/2
It's the same thing for a3. a3-1 is just the last term, which is a2, -3/2. So a3 = (-3/2) / 4 - 2. a3 = -19/8
6x7 is what i dont know what it is
Answer:
it's 42
Step-by-step explanation:
6 7's
6 12 28 24 30 36 42
quiz 3-1 parallel lines transversals and special angle pairs
The following statements are true:
Segment DEF is parallel to ABCThe line segment AB is parallel to DELine FC is parallel to ADthe line that is skewed to DE is BCThe given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)
Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;
DEF is parallel to ABCCADF is parallel to CBEFFor the lines, the lines that are parallel to each other are:
AD is parallel to BEAB is parallel to DEFC is parallel to ADFor skew lines, they are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC
Learn more about parallel and skew lines here: https://brainly.com/question/18013592
Given the following triangle, what is the cos A?
[tex]\text{Given that, for angle A}\\\\\text{Adjacent side, AB = 7}\\\\\text{Hypotenuse, AC = 25}[/tex]
[tex]\cos A = \dfrac{AB}{AC} = \dfrac{ 7}{25}[/tex]
if silas sandwich measures, 3 yards 2 feets 3 inches, How many inches in total does silas sandwich measure
========================================================
Work Shown:
1 yard = 3 feet
3 yards = 9 feet (multiply both sides by 3)
3 yards + 2 feet = 9 feet + 2 feet = 11 feet
1 foot = 12 inches
11 feet = 132 inches (multiply both sides by 11)
11 feet + 3 inches = 132 inches + 3 inches = 135 inches
Calculate 1.25 X (3)
Answer: 3.75 is your answer!
Step-by-step explanation: hope i helped my answer is 100% correct
ABC is a right triangle. If AC = 7 and BC 8, find AB. Leave your answer in simplest radical form.
Step-by-step explanation:
We don't know if AB is a hypotenuse or leg.
If AB is hypotenuse:
[tex]AB=\sqrt{AC^2+BC^2} =\sqrt{7^2+8^2} =\sqrt{49+64} =\sqrt{113}[/tex]If AB is leg:
[tex]AB=\sqrt{BC^2-AC^2} =\sqrt{8^2-7^2} =\sqrt{64-49} =\sqrt{15}[/tex]For base/Perpendicular
AB²=8²-7²AB²=64-49AB²=15AB=√15For Hypotenuse
AB²=8²+7²=64+49AB²=113AB=√113Which is a central idea of the Railroad that changed america?
CAN YOU HELP ME #6 please
Answer:
Step-by-step explanation:
f(x) = (3x+3)/(x-2)
Use a graphing program such as DESMOS. See attachment.
The asymptotes are:
The asymptotes are:
y = ± infinity as x reaches 2
x = ± infinity as y reaches 3
Omar's net pay is $2,160. Does he make enough money to make the monthly payments for this apartment?
Security Deposit $500
Application Fee
$10
First Month's Rent $550
Electricity
$25 connection fee: $40 per month
Telephone
approximately $36 per month; $40 to connect
Water
$26 per month; a deposit of $50
Yes
No
Answer:
Yes he does. the total to all those numbers is 1277
Step-by-step explanation:
what is 3/4÷2/1=
Explain how you got your answer
Answer:
3/2
Step-by-step explanation:
Use the KCF method.
Keep the first fraction (3/4)
Change the sign (division to multiplication)
3/4*2/1=6/4 or 3/2
Answer:
[tex]=\frac{3}{8} (Decimal: 0.375)[/tex]
Step-by-step explanation:
=[tex]\frac{3}{4*2}[/tex]
[tex]\frac{3}{8}[/tex]
What is the circumference of the top of the water buoy? Round your answer to the nearest tenth.
37.7 feet
28.3 feet
113.0 feet
84.8 feet
Answer:16.3 inches. What is the area of this plate? Use 3.14 for pi. Round to the nearest whole number.
Step-by-step explanation:
Calculate the value of 4321 (base 5) + 343 (base 5)
In the "1s" place,
1₅ + 3₅ = 4₅
In the "5s" place,
2₅ + 4₅ = (6)₅ = (5 + 1)₅ = 10₅ + 1₅ = 11₅
In the "25s" place, we carry the leading 1 from the "5s" place,
3₅ + 3₅ + 1₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅
In the "125s" place, we carry over the 1 again,
4₅ + 1₅ = (5)₅ = (5 + 0)₅ = 10₅ + 0₅ = 10₅
Putting everything together,
4321₅ + 343₅ = 10214₅
Mr Jibril wants to fill a rectangular container measuring 8 m by 5 m by 2 m completely with gravel. Gravel costs $26 per cubic metre. He has only $1500. How much more money will Mr Jibril need to pay for the gravel?
On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.
Answer:
Step-by-step explanation:
What
༒Question༒
refer to attachment
nonsense will get report
Answer:
REFER TO ATTACHEMENT
I HOPE IT IS HELPFULPLEASE HELP SOMONE.
Suppose you invest $5000 into an account the earns 2% interest compounded quarterly. How much money will you have after 30 years? Use the formula .
Group of answer choices
Answer:
So here is the answer to your question by using the formulae of compound amount.
Initial price( P) = $5000
Interest rate( R) = 2% pa
Time ( T) = 30 years
Compound amount (CA)=?
We have
CA=P(1+R/100)^T
=5000(1+2/100)^30
=$9056.807921
=$9057(Approx)
Thus, the money will be $9057 after 30 years.
Match the vocabulary word with the correct definition,
1. coefficient
a number, a variable, or the product
of a number and variable(s)
a letter used to represent an
unknown number
The number in front of a variable in
2. constant
3. term
a term
a single term, multiple terms
connected by an addition or subtraction
sign
a number, a term containing no
4. variable
5. expression
variables
TURNITIN
NEXT QUESTION
READ NEXT SECTION
ASK FOR HELP
Answer:
Definitions matched below with vocabulary wordsStep-by-step explanation:
A number, a variable, or the product of a number and variable(s)
→ 3. termA letter used to represent an unknown number
→ 4. variableThe number in front of a variable in a term
→ 1. coefficientA single term, multiple terms connected by an addition or subtraction sign
→ 5. expressionA number, a term containing no variables
→ 2. constantIsaiah is saving 12$ per week from his allowance. after 20 weeks, Isaiah has 240$
Answer: He saved $12 per week
Step-by-step explanation:
I am confused you basically solved your own question but here is the explanation.
Isaiah gets $12 per week in his allowance, every two weeks he gets $24, so in twenty weeks he would have save $240. Here is an equation.
2W*10 = $240
W = weeks
2 weeks = $24*10 = $240
I hope this helps in anyway
Hey can yall help me asap
Answer:
4 pieces of fruit
Step-by-step explanation:
48 divided by 12 = 4
28 divided by 7 = 4
Can someone help with 1 11/15 divided by 1 4/9?
Answer: The answer is 1 1/5
Step-by-step explanation: Hope that helps :)
The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.
Answer:
even
Step-by-step explanation:
the rate of cost of petrol is decreased from rs 110 per litre to rs 104.50 per litre. by how many percent is cost decreased?
the cost is decreased by 5%.... ..
...
-8.5x +0.43 = -2.97
The solution is x =
Answer:
x=0.4
Step-by-step explanation:
ubtract
0.43
from both sides of the equation.
−
8.5
x
=
−
2.97
−
0.43
Subtract
0.43
from
−
2.97
.
−
8.5
x
=
−
3.4
Divide each term in
−
8.5
x
=
−
3.4
by
−
8.5
.
−
8.5
x
−
8.5
=
−
3.4
−
8.5
Divide
−
3.4
by
−
8.5
.
x
=
0.4
Abby rode her bike for 1 and 3/4 hours on Saturday and 1 5/8 hours on Sunday what is the total amount of time she rode her bike on these two days
Answer:
3 3/8 hours
Step-by-step explanation:
Add 1 3/4 and 1 5/8 = 27/8 = 3 3/8
Joe paid $345 for a vase. He sold it at a profit of 180% of cost price. Find the selling price of the vase?
Answer:
966
Step-by-step explanation:
180% is written as 1.80 as a decimal. You can multiply this by 345 to get the profit he made, and to find the total selling price, add the profit (1.80x345) to the original price (345)
The sales tax on a surfboard is $12 what is the percent of sales tax?
find the values of x and y ????
show step plz
Answer:
x= 90 degrees
y= 47 degrees
Step-by-step explanation:
Since the two sides of this triangle are equal in lengths, you know that it is an isosceles triangle.
So with this information, you know that the angle at the bottom left is also 47 degrees.
x would be equal to 90 degrees because it is perpendicular to the bottom of the triangle (assuming).
A triangle has 180 degrees, so add up the lengths we have to solve for the missing angle, y.
90+47+y=180
y= 43
[tex]{\huge{\boxed{\mathfrak{Answer\:With\:Explanation}}}[/tex]
First we can say [tex]x=90[/tex]°, since x is located at the right angle part.
Now we can make an equation
[tex]90+47+y=180[/tex]
subtract 137 from sides.
[tex]y=43[/tex]
_________________________________
[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]
[tex]x=90[/tex]° [tex]y=43[/tex]°_________________________________
Describe the end behavior of the function.
f(x)=3(1/5)^x-2
Answer:
The leading coefficient test requires a polynomial.
Not a polynomial
Step-by-step explanation:
Answer:
x → -∞, f(x) → ∞
x → ∞, f(x) → -2
Step-by-step explanation:
f(x) is an exponential function with a base less than 1. It represents decay, so will approach infinity as x approaches negative infinity. It will approach a horizontal asymptote for large positive x.
The -2 added to the exponential term moves the asymptote from y=0 to y=-2.
x → -∞, f(x) → ∞
x → ∞, f(x) → -2
