the difference of four times a number and 23 is 5 less than the number. Find the number
Answer:
I think it could be 28 because 28 minis 5 is 23
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
y = (4/7)x + 3
Step-by-step explanation:
rise = 7 - 3 = 4
run = 7 - 0 = 7
slope = rise/run = 4/7
y-intercept = 3
---------------------
Slope intercept form is
y = mx + b
m is the slope = 4/7
b is the y-intercept = 3
the equation is
y = (4/7)x + 3
math please help 10 points!
Answer:
D. 36m^2
Step-by-step explanation:
4×9= 36
length × height = area
Consider a student loan of $22,000 at a fixed APR of %6 for 25 years.
Answer:
$33000
Step-by-step explanation:
Given data
Principal= $22,000
Rate= 6%
Time= 25 years
The interest to be paid is
Simple interest= PRT/100
Simple interest= 22000*6*25/100
Simple interest=3300000/100
Simple interest=$33000
Hence the total simple interest paid is $33000
A rectangular prism has a length of 14 feet, a height of 11 feet, and a width of 13 feet. What is its volume, in cubic feet ?
help me please i need a lot of help
Answer: 3 or 9/12
Step-by-step explanation:
3/4 to 0.75
0.75 * 4 = 3
An airline flying to a Midwest destination can sell 20 coach-class tickets per day at a price of $250 and ten business-class tickets per day at a price of $750. It finds that for each $10 decrease in the price of the coach ticket, it will sell four more per day, and for each $50 decrease in the business-class price, it will sell two more per day. What prices should the airline charge for the coach and business-class tickets to maximize revenue? [Hint: Let x be the number of $10 price decreases for coach tickets and y be the number of $50 price decreases for business-class tickets, and use the methods in this example and this example for each type of car.]
Solution :
Let x = number of coach class tickets sold per day on $ 10 reduced price
y = number of the business class tickets sold per day on $ 50 reduced per price.
Number of the coach class tickets sold = 20 per day at a price of $ 250
Number of the business class tickets sold = 10 per day at a price of $ 750
Decrease in the price of coach class tickets by $ 10 increases the number of tickets sold by 4 per day
Decrease in the price of business class tickets by $ 50 increases the number of tickets sold by 2 per day.
Therefore, the coach price, p(x) = 250 - 10x
Business class price, p(y) = 750 - 50y
Coach tickets, q(x) = 2 + 4x
Business class tickets, q(y) = 6 + 2y
Revenue R(x, y) = p(x) q(x) + q(y) q(y)
R(x, y) = (250-10x)(20+4x)+(750-50y)(6+2y)
R(x) = (250-10x)(0.4)+(20+4x)(-10)+0 = 0
1000-40x-200-40x=0
80x = 800
x = 10
R(y) = 0 + (750 - 50y)(0.2) + (6+2y)(-50) = 0
1500 - 100y+(-300-100y) = 0
200 y = 1200
y = 6
P(x) = 250 - 10(10) = $ 150
P(y) = 780-50(6) = $450
q(x) = 20 + 4(10) = 60
q(y) = 6 + 2(6) = 18
Maximum revenue = 150 x 60 + 450 x 18
= 9000 + 8100
= $ 17100
You take out a simple interest loan with a principal of $1500. Your interest rate is
5.6% and your loan term is 4 years.
What is the total interest you will pay?
What is the total you will pay including your principal and interest?
Answer: See explanation
Step-by-step explanation:
Interest = Principal × Rate × Time
Interest = $1500 × 5.6% × 4
= $1500 × 0.056 × 4
= $336
The total amount that will be paid will be:
= Principal + Interest
= $1500 + $336
= $1836
If a and b are angles lying in the 2nd quadrant such that cosa= -2/3 and cscb=2 find the following sin(a+b) and tan(a+b)
Both a and b lie in the second quadrant, which means
π/2 < a < π
π/2 < b < π
for which we have both cos(a) and cos(b) negative, while both sin(a) and sin(b) are positive. We're also given that
cos(a) = -2/3
csc(b) = 2 => sin(b) = 1/2
Now, recall the following identities:
• sin^2(x) + cos^2(x) = 1
• sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
• cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
• tan(x) = sin(x)/cos(x)
Now,
sin(a + b) = sin(a) cos(b) + cos(a) sin(b)
… = √(1 - cos^2(a)) (-√(1 - sin^2(b))) + cos(a) sin(b)
* * where we take the negative square root because we expect cos(b) < 0 * *
… = - √(1 - (-2/3)^2) √(1 - (1/2)^2) + (-2/3) (1/2)
… = - √(1 - 4/9) √(1 - 1/4) - (2/3) (1/2)
… = - √(5/9) √(3/4) - 1/3
… = - (√5/3) (√3/2) - 1/3
… = -√15/6 - 1/3
… = -(√15 + 2) / 6
From the above, we know sin(a) = √5/3 and cos(b) = -√3/2. Then
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
… = (-2/3) (-√3/2) - (√5/3) (1/2)
… = √3/3 - √5/6
… = (2√3 - √5) / 6
and so it follows that
tan(a + b) = sin(a + b) / cos(a + b)
… = (-(√15 + 2) / 6) / ((2√3 - √5) / 6)
… = - (√15 + 2) / (2√3 - √5)
… = - (√15 + 2) (2√3 + √5) / ((2√3 - √5) (2√3 + √5))
… = - (2√45 + 4√3 + √75 + 2√5) / (12 - 5)
… = - (6√5 + 4√3 + 5√3 + 2√5) / 7
… = - (8√5 + 9√3) / 7
will the area be the same or different?
Help with #9 pleaseeee
Answer:
9' - 1.29"
Step-by-step explanation:
Total rise = 5' - 2"
Total run = 7' - 6"
1' = 12" = 1 feet = 12 inches
5' = 5 * 12 = 60"
3' = 7 * 12 = 84"
Total rise = 60" + 72" = 62"
Total run = 84" + 6" = 90"
Length of stringer = hypotenus
Hypotenus = √(total rise² + total run²)
Hypotenus = √(62² + 90²)
Hypotenus = 109.28860"
Convwrting back to feet and inches
= 9' - 1.29"
Convert:
5 pt 1 c= __c
Select the correct answer from each drop-down menu
The table shows the number of books Lucy borrowed from the library each month for a year
Month Number of Books
Month
Number of Books
January
14
6
February
8
July
August
September
19
March
16
12
April
14
October
May
8
November
7
June
7
December
Lucy bomowed the most books in
There were months in which she borowed fewer than 10 books
Answer:
6 Months where she borrowed less than 10,
and he borrowed the most books in August.
Step-by-step explanation:
Write the linear equation that gives the rule for this table.
Answer:
f(x) = -7x + 1
Step-by-step explanation:
Slope intercept form is
y = mx + b
m is slope
b is y-intercept
--------------------------
y decreases by 7 for each increase of 1 in x
slope = -7
to find "b" plug in one of the points and m = -7
using point (3, -20)
y = mx + b
-20 = -7(3) + b
-20 = -21 + b
b = 1
The equation is
f(x) = -7x + 1
Find the length of the third side. If necessary, write in simplest radical form.
3√5
Answer:
3
Step-by-step explanation:
We can use the Pythagorean thorem to solve this question
leg = [tex]\sqrt{hypotenuse^2 - leg^2} = \sqrt{(3\sqrt{5})^2 - 6^2} = \sqrt{45 -36} = \sqrt{9} = 3[/tex]
may i get some help please
Answer:B
Step-by-step explanation:
They are alternate angles due to them being on opposing sides from one another and corresponding as they are equal and opposing
Hope this helps
How so i slove 9z-63=0
Find the exact circumference of a circle with the given radius.
7 feet
C=
O 771 ft.
1471 ft.
02771 ft.
Answer:
43.98
Step-by-step explanation:
i was doing a problem like that on my math paper as well
A woman is thrice as old as her daughter. 12 years hence, she will be twice as old as her daughter find their present age.
help me
with explanation !!!
Answer:
Their present ages are:
Her daughter's age = 12 years Women's age = 36 yearsStep-by-step explanation:
Given that:
A woman is thrice as old as her daughter. 12 years hence, she will be twice as old as her daughter.To Find:
Their present ages.Let us assume:
Her daughter age be x. Women's age = 3xAfter 12 years:
Her daughter's age = x + 12Women's age = 3x + 12Finding their present ages:
According to the question.
⇒ 3x + 12 = 2(x + 12)
⇒ 3x + 12 = 2x + 24
⇒ 3x - 2x = 24 - 12
⇒ x = 12
Their present ages:
Her daughter's age = x = 12 years Women's age = 3x = (3 × 12) = 36 yearsFind ad please help aghhhh due today
Answer:
AD = 6m
Step-by-step explanation:
Sin(30) = AD / 12
Sin(30) * 12 = AD
6 = AD
Hope this helps!
Find AD.
[tex] \sf a. \: 2\sqrt{3} \: m[/tex]
[tex] \sf b. \: 3 \sqrt{3} \: m[/tex]
[tex] \sf c. \: 6 \: m[/tex]
[tex] \sf d. \: 6 \sqrt{3} [/tex]
____________________
Solution :-Given Information :-∠DCB = 30°∠BDC = 90°∠ABC = 90°BC = 12 mTo Find :-The Length of AD Calculation :-Here, Sin θ is 30°
Sin = [tex] \bf \frac{perpendicular}{hypotenuse} [/tex]
Here, θ is 30°
Substituting the values, We get,
∴ Sin ( 30 ) = [tex] \sf \frac{AD}{BC} [/tex]
Substituting the value of BC as 12, We get,
⇒ Sin ( 30 ) = [tex] \sf \frac{AD}{12} [/tex]
Transposing 12 to Left Hand Side, We get,
⇒ Sin ( 30 ) × 12 = AD
Calculating further, We get,
⇒ AD = 6 m
∴ AD = 6 m
____________________Final Answer :-The Length of AD is 6 m
____________________Order the numbers from least to greatest 41/50, 0.83, 80%
Answer:
80%, 41/50, 0.83
Step-by-step explanation:
80% = 0.80
41/50 = 0.82
0.83 = 0.83
if topic A is very sensitive, while topic B is not sensitive at all, which of the following statements is most likely true when surveying people on the two topics?
A. Topic b requires an anonymous answer form, while topic A does not.
B. Both topic A and topic B require an anonymous answer form.
C. Topic A requires an anonymous answer form, while topic B does not.
D Neither topic A nor topic B requires an anonymous answer form.
Answer:
C.
Step-by-step explanation:
Most people do not want personal information about sensitive topics revealed about themselves, so Topic A requires anonymity.
With non-sensitive topics, people are usually comfortable with revealing their identity, so Topic B doesn't require anonymity.
A teacher has a bag of marbles. There are 6 red, 6 blue, 8 green7 purple, and 8 yellow marbles in the bag. As the students enter the classroom, they draw a marble and keep it. If the first student in the room draws a yellowand the second draws a purple, what is the probability that the third student will draw a blue?
25%
18%
22%
33%
Answer:
18%
Step-by-step explanation:
Hope this helps :))
Answer:
the answer is 18%
hope this helps
- What is the volume of a square pyramid with height 15m and slant height 17m?
A 85 m2
B 320 m2
C 1280 m2
D 3840 m2
Answer:
c ) 1280 m^3
here,
slant height (s)= 17m
vertical height ( h)= 15m
length (a)= ?
so,
s^2 = (a/2)^2 + h^2
(17)^2 = (a/2)^2 + 15^2
64 = (a/2)^2
8^2= (a/2)^2
8×2 = a so a = 16
Now we know
volume of pyramid
= 1/3 × a^2 × h
= 1/3 × 16^2 × 15
= 1/3 × 256 × 15
= 1280 m^3
What is the sum? Complete the equation.
-15 + (-15)
Answer:
-30
Hope this helps!
Domain and range
What is the Domain and Range of the Relation
y = -5
Answer:
D: {all reals}
R: {-5}
Step-by-step explanation:
Plzzzzz help for a brainly
Answer:
20cmStep-by-step explanation:
120/6=20
Answer:
20cm
Step-by-step explanation:
120/6 = 20
Does anyone know why I can't access or see the homepage for this website?
It hasn't loaded in 20 minutes and my internet connection is fine.
Please help faster please
Which series is convergent? Check all that apply.
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 2 n Over n + 1 EndFraction
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction n squared minus 1 Over n minus 2 EndFraction
Sigma-summation Underscript n = 1 Overscript infinity EndScripts (one-fifth) Superscript n
Sigma-summation Underscript n = 1 Overscript infinity EndScripts 3 (StartFraction 1 Over 10 EndFraction) Superscript n
Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 1 Over 10 EndFraction (3) Superscript n
There are 2 correct answers
Answer:
Step-by-step explanation:
c