Answer: 13°
Explanation: x = tan^-1 ( 9/40) ≈ 13°
What is the equation of the line that passes through the point (3, 5) and has a slope
of -1/3
Answer:
[tex]Y=-\frac{1}{3} + 6[/tex]
Hope This Helps! :) Please Mark Brainliest!
evelyn invests $3200.00 in an account for 9 months at a 5% annual interest rate, what is evelyns total amount in her account at the end of the term?
Answer:
3320
Step-by-step explanation:
So, 9 months is 9/12 of a year which is 3/4.
Each month they get 5/12% of their total money, so 9x5/12=3.75%.
3320
The whole number m is a term in an arithmetic sequence with common difference 2. Show that the sum of the term m and the next two terms is a multiple of 3, no matter what the value of m.
Answer:
S
ThenSn=n(a1+an)2Sn=n(a1 + an)2 , where nn is the number of terms, a1a1 is the first term and anan is the last term. The sum of the first nn terms of an arithmetic sequence is called an arithmetic series .
Step-by-step explanation:
If the annual interest rate 4%, how long does it tke for you investment of $10,000 to grow to $15,000
If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal. If the population of a nation increases at the rate of 1% per month, it will double in 72 months, or six years. Hope this helps ! Have a good day! :)
Randy has 1.5 gallons of sprite and 2.25 gallons of coke in his fridge. Andy has 1.15 gallons of sprite and 0.62 gallons of coke. How much more soda does Randy have than Andy?
Answer:
1.98Gal
Step-by-step explanation:
Randy soda total is 1.5 gal + 2.25 Gal = 3.75 Gal
Andy soda total is 1.15 + 0.62 Gal = 1.77 Gal
3.75-1.77=1.98Gal
1.98
Step-by-step explanation:
1.5+2.25=3.75
1.15+0.62=1.77
3.75-1.77=1.98
use the equation f(x)=0.003x²-0.083x+2.514. Predict the value for x+20 years.
When x=20 years,f(x)=?
Answer:
2.054
Step-by-step explanation:
put the value of x in f(x)
You deposit $1500 in an account earning 3.5% interest compounded monthly.
a. a. How much will you have in the account in 20 years?
b. b. How much interest will you earn?
Answer:
Answer:
\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149
Step-by-step explanation:
Standard equation of a circle: \sf (x-a)^2+(y-b)^2=r^2(x−a)2+(y−b)2=r2
(where (a, b) is the center and r is the radius of the circle)
Substitute the given center (-14, -5) into the equation:
\sf \implies (x-(-14))^2+(y-(-5))^2=r^2⟹(x−(−14))2+(y−(−5))2=r2
\sf \implies (x+14)^2+(y+5)^2=r^2⟹(x+14)2+(y+5)2=r2
Now substitute the point (-7, 5) into the equation to find r²:
\sf \implies ((-7)+14)^2+(5+5)^2=r^2⟹((−7)+14)2+(5+5)2=r2
\sf \implies (7)^2+(10)^2=r^2⟹(7)2+(10)2=r2
\sf \implies 149=r^2⟹149=r2
Final equation:
\sf (x+14)^2+(y+5)^2=149(x+14)2+(y+5)2=149
The possible rational roots are ±1, ±3, ±5, ±9, ±15, and ±45.
The actual roots ordered from least to greatest are?
The actual roots of the function P(x) = x^4 - 4x^3 - 4x^2 + 36x - 45 are its real roots
The actual roots ordered from least to greatest are -3 and 3
How to determine the actual roots?From the complete question, the polynomial function is:
P(x) = x^4 - 4x^3 - 4x^2 + 36x - 45
Expand the above equation
P(x) = x^4 - 4x^3 + 5x^2 - 9x^2 + 36x - 45
Factorize the equation
P(x) = x^2(x^2 - 4x + 5) - 9(x^2 - 4x + 5)
Factor out x^2 - 4x + 5
P(x) = (x^2- 9)(x^2 - 4x + 5)
Express x^2 - 9 as a difference of two squares
P(x) = (x + 3)(x - 3)(x^2 - 4x + 5)
The expression (x^2 - 4x + 5) cannot be factorized.
So, we have:
P(x) = (x + 3)(x -3)
Equate to 0
(x + 3)(x -3) = 0
Expand
x + 3 = 0 or x - 3 = 0
Solve for x
x = -3 or x = 3
Hence, the actual roots ordered from least to greatest are -3 and 3
Read more about polynomial functions at:
https://brainly.com/question/2833285
Answer:
answer in picture
Step-by-step explanation:
Which of the following sets of numbers could be the side lengths of a right triangle?
3, 4, and 7
9, 40, and 42
8, 15, and 16
20, 21, and 29
Answer:
9, 40, and 42
Step-by-step explanation:
Answer:
9, 40,and 42 is the answer
Step-by-step explanation:
which description represents the expression 5x - 9 ?
5x-9 means
9 less than the product of a number and 5
5 times x minus 9
the product of 5 and a number minus 9
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Kurtis is watching a movie. The movie lasts 280 min. Kurtis has watched 30% of the movie so far. How many minutes of the movie has Kurtis watched? Show your Work.
Answer:
ok so this is just multiplycation
30% is also 0.3 so
280*0.3=84
84 minutes or
1 hour 24 minutes
Hope This Helps!!!
Answer: 23810645.03820431-24
Step-by-step explanation:
Used my brain :)
9. Frigid Boards purchases one of its snowboards for $395 less a retail trade discount of 15% and a loyalty discount of 4%. Its markup on selling price percentage on all snowboards is 21%. At the end of the season, any leftover snowboards are marked down by 10%. What is the sale price for the snowboard?
The sale price for the snowboard after the trade and loyalty discount of 15% and 4% will be 351.01 dollars.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Frigid Boards purchases one of its snowboards for $395 less a retail trade discount of 15% and a loyalty discount of 4%. Then the price of the snowboards will be
⇒ $ 395 × 0.85 × 0.96
⇒ $ 322.32
Its markup on selling price percentage on all snowboards is 21%, then we have
⇒ $ 322.32 × 1.21
⇒ $ 390.01
At the end of the season, any leftover snowboards are marked down by 10%, then we have
⇒ $ 390.01 × 0.90
⇒ $ 351.01
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ1
Please help for brainliest :(
Given the figure below, find the values of x and z.
Answer:
Below in bold.
Step-by-step explanation:
z = 87 degrees ( vertical angles)
9x - 87 = 180 - z ( adjacent angles are supplementary)
9x - 87 = 180 - 87
9x = 180
x = 20 degrees.
Estimate how many times larger 5x10^8 is than 24x10^6?
A) 10 times larger
B) 20 times larger
C) 50 times larger
D) 100 times larger
Answer:
20times bc u times 5 by 10 then divide 8 u get 6.2
Find the exact length of the midsegment of the trapezoid with the vertices A(2,\ 0),\ B(8,-4),\ C(12,\ 2),\ D(0,\ 10).
Answer:
Midsegment = 3√13
Step-by-step explanation:
The length of the mid segment of trapezoid is half the sum of the lengths of the two parallel sides, AB and CD
Which real-life data set has a distribution that is skewed right?
a. prices of movie tickets
b. height of adults in town
c. salaries of employees at a large company
d. ages of students im a high school algebra class
please help me
and please show good answers
Answer:
1st one is 0.021
2nd one is 0.009
the last question is 0.015 tho
Answer:
for the first one it will be 0.021
the second one it's 0.009
and for the third one it will be 0.015
To save money for his daughter's college tuition, Pablo invests $279 every quarter in an annuity that pays 6% interest, compounded quarterly. Payments will be made at the end of each quarter. Find the total value of the annuity in 22 years. Do not round any intermediate computations, and round your final answer to the nearest cent
[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the end of the period}}{\textit{Future Value of an ordinary annuity}} \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\\\ ~~~~~~ \begin{cases} A=\textit{accumulated amount}\\ pymnt=\textit{periodic payments}\dotfill &279\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &22 \end{cases}[/tex]
[tex]A=279 \left[ \cfrac{\left( 1+\frac{0.06}{4} \right)^{4 \cdot 22}-1}{\frac{0.06}{4}} \right]\implies A=279\left[\cfrac{1.015^{88}~~ - ~~1}{0.015} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 50348.47~\hfill[/tex]
Which function is the inverse of f(x) = -5x -4?
Answer:
f−1(x)=x5+45
Step-by-step explanation:
HELP!! What is the surface area of this figure?
Answer:
448 is the answer
Step-by-step explanation:
If u need complete solution do let me know
Answer:
448 yd^2.
Step-by-step explanation:
The surface area consists of 3 rectangles and 2 congruent triangles
= 12*11 + 2 * 10*11 + 2 * 1/2 * 12*8
= 132 + 220 + 96
= 448 yd^2.
please help me Find m< G
Answer:
70°
Step-by-step explanation:
All angles in a kite equal 360°.∠F≅∠H. 360-(90+90+110) will get you the answer.
Two gears are connected and rotating at the same time. The smaller gear completes 2 1/2 rotations every time the larger gear completes 1/4 of a rotation.
How many rotations does the smaller gear complete when the larger gear completes 1 rotation?
A.1/10
B. 5/8
C. 5
D. 10
The small does 2 1/2 for 1/4 of the large. Multiply by 4 to get a full rotation of the large one:
2 1/2 x 4 = 10
answer: D. 10
A restaurant has a soup-and-salad lunch with the choices listed in the table below. A soup and a salad are selected at random.
What is the probability that tomato soup and a garden salad are selected?
A 1/6
B 1/5
C 1/3
D 5/6
Answer:
I think it is B) 1/5, but I am not sure.
The set of ordered pairs below is a relation. {(1, 5), (0, 2), (-1, -1), (-2, -4)} What is the range of the relation?
Answer:
{ - 4, - 1, 2, 5 }
Step-by-step explanation:
the range is the values of y from the ordered pairs in the relation
range = { - 4, - 1, 2, 5 }
9. To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can be stitched and how much cloth will remain? (Hint : convert data in cm.)
Answer:
1 Shirt and 185cm remaining cloth
Step-by-step explanation:
2m and 15cm = 215cm
40m = 400cm
400/215=1.860465116
A shirt cant be in decimal so we remove the decimals, and take the as the answer. For the decimals, they are the remaining cloth.. to calculate the amount of remaining cloth we do:
1.860465116-1
=860465116
215*860465116=185cm
Simplify the expression.
c^-6 d^4/c^-16 d^14
Answer:
[tex]\red{\frac{ {c}^{10}}{{d}^{10} } }[/tex]
Step-by-step explanation:
[tex] \huge \: \frac{ {c}^{ - 6} {d}^{4}}{ {c}^{ - 16} {d}^{14} } \\ \\ = \huge \: \frac{ {c}^{16 - 6}}{{d}^{14 - 4} } \\ \\ = \huge \: \red{\frac{ {c}^{10}}{{d}^{10} } }[/tex]
What is the next fraction in this sequence? Simplify your answer 1/52 1/26 1/13 2/13
Answer:
4/13
Step-by-step explanation:
The pattern is that every number is multiplied by 2 starting at 1/52. To find the next fraction in the sequence, multiply 2/13 by 2:
[tex]\frac{2}{13} (\frac{2}{1} )=\frac{4}{13}[/tex]
4/13 is our final simplified answer
I hope this helps!
Kathryn’s new ball has a diameter of 4 inches (in.). What is the surface area of Kathryn’s ball? Use 3.14 for π .
For the given equation, find the value of M when x=3. 2x+m=7
[tex]m = 1[/tex]
Step-by-step explanation:
[tex]2x + m = 7[/tex]
insert x=3 into the equation
[tex]2(3) + m = 7[/tex]
multiply
[tex]6 + m = 7[/tex]
subtract 6 on both sides
[tex]6 - 6 + m = 7 - 6[/tex]
[tex]m = 7 - 6[/tex]
simplify
[tex]m = 1[/tex]
what is the diameter of a circle with a circumference of 84.78 inches?use 3.14 for pi,show your work please
Answer:
27 inches
Step-by-step explanation:
the formula for the circumference is 2 × pi × r
so: 2 × pi × r = 84.78
so 84.78/2pi = r
r = 13.5
we want the diameter which is 2 x r
so the diameter is 27