Answer:
Alex = No B.
Step-by-step explanation:
1) Use Quotient Rule: [tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]
[tex]n^{1-3}[/tex]
2) Simplify 1 - 3 = 2
[tex]n^{-2}[/tex]
3) Use Negative Power Rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]
[tex]\frac{1}{n^{2} }[/tex]
a bicycle has a listed price of 749.95 before tax. if the sales tax rate is 9.5%, find the total cost of the bicye with sales tax included
Answer:
821.20
Step-by-step explanation:
The tax is added to the listed price in order to find the total cost. The tax is computed by multiplying the listed price by the tax rate.
tax = 749.95 × 0.095 = 71.25 . . . . . (rounded up from 74.24525)
total cost = listed price + tax = 749.95 +71.25 = 821.20
The total cost of the bicycle with sales tax included is 821.20.
Answer:
$821.20 (nearest cent)
Step-by-step explanation:
If a sales tax of 9.5% is applied,
the final cost of the bicycle = 100% + 9.5% = 109.5% of its listed price
Convert 109.5% into a decimal:
109.5% = 109.5/100 = 1.095
So 109.5% of $749.95 = 1.095 × 749.95
= $821.20 (nearest cent)
Use the compound interest formulas A = P1+
and A = Pert to solve.
Suppose that you have $11,000 to invest. Which investment yields the greater return over 9 years: 7.5% compounded
continuously or 7.6% compounded semiannually?
Answer:
7.5% compounded continuously yields the greatest return after 9 years
Step-by-step explanation:
Compounded interest = P(1+r/n)^(nt), where P is the principle, r is the rate of interest, n is the number of times compounded annually, and t is the time of the investment.
7.6% compounded semiannually:
I = 11000(1+0.076/2)^(2*9) --> 11000(1.038)^18 ~ $21525.09
7.5% compounded continuously:
Since it is compounded continuously, we use the mathematical constant e.
I = 11000e = $29901.01
A right triangle has side lengths that are consecutive integers and a perimeter of 12 feet. What are the
angles of the triangle?
А. 30°, 60° and 90°
B. 33.47°, 56.53° and 90°
C. 36.87°, 53.13° and 90°
D. 40.16°, 49.84° and 90°
Answer:
option c
Step-by-step explanation:
Let the sides of the right angled triangle = x , (x +1) , (x +2)
Perimeter = 12 feet
x + x +1 + x + 2 = 12
x +x + x + 1+2 = 12
Combine like terms
3x+ 3 = 12
Subtract 3 from both sides
3x = 12- 3
3x = 9
Divide both sides by 3
x = 9/3
x = 3
x + 1 = 3 + 1 = 4
x + 2 = 3 + 2 = 5
The sides of the triangle are 3 , 4 ,5
The biggest side will be the hypotenuse.
So, hypotenuse = 5 ft. other legs are 3 and 4
[tex]\text {Sin \ $\theta$ = $\dfrac{opposite \ side \ of \ \theta}{hypotenuse}$ } \\\\\\ = \dfrac{4}{5}\\\\\\Sin \ \theta = 0.8\\\\\theta = Sin^{-1} \ 0.8\\\\\theta = 53.13 \ ^\circ[/tex]
another angle = 180 - [ 90 + 53.13]
= 180 - 143.13
= 36.87°
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
20 inches²
Step-by-step explanation:
perimeter = 8 + 3 + 5 + 4
= 20 inches²
What are the domain and range of the function
Answer: The answer should be the 2nd one
Step-by-step explanation:
.............help me
Answer:
A Translation 2 units left and 1 unit down
Step-by-step explanation:
11 18 The diagram shows an equilateral triangle. All measurements are in cm. NOT TO SCALE 2x+2 3x+4 3 OLTY а The perimeter of the triangle is 57 cm. Find the length of a.
Answer:
a = 7
Step-by-step explanation:
3x + 4 = 57 ÷ 3
3x + 4 = 19
3x = 15
x = 5
2x + 2 = 2(5) + 2 = 10 + 2 = 12
19 - 12 = 7
a = 7
hope this helps!! p.s. i really need brainliest :)
Please help me find x
|x+8|=x+8
square two sides
x+8=(x+8)2
x+8=x2+16x+64
x2+16x+64-x-8=0
x2+15x+56
then rule a2+-l
Does anyone know all of these? (11th Grade Algebra)
Answer:
Step-by-step explanation:
17) In parallelogram, adjacent angles are supplementary (add up to 180)
⇒∠A + ∠D = 180
5x + 30 + x = 180
5x +x + 30 = 180 {Combine like terms}
6x + 30 = 180 {Now, subtract 30 from both sides}
6x + 30 - 30 = 180 - 30
6x = 150
Now divide both sides by 6
x = 150/6
x = 25
∠A = 5x + 30
= 5*25 + 30
= 125 + 30
= 155
In parallelogram, opposite angles are congruent.
∠C = ∠A
∠C = 155°
18)In parallelogram, adjacent angles are supplementary (add up to 180)
⇒∠A + ∠D = 180
3x + 4 + x = 180
3x +x + 4 = 180 {Combine like terms}
4x + 4 = 180 {Now, subtract 4 from both sides}
4x + 4 - 4 = 180 - 4
4x = 176
Now divide both sides by 4
x = 176/4
x =44
19) In parallelogram, adjacent angles are supplementary (add up to 180)
⇒∠GAC + ∠ACF = 180
125 + ∠ACF = 180
Now, subtract 125 from both sides
∠ACF = 180 - 125
∠ACF = 55
21) In parallelogram, adjacent angles are supplementary (add up to 180)
∠CFG + ∠ACF = 180
2w +30 + w + 15 = 180
2w +w + 30+ 15 = 180
3w + 45 = 180
3w = 180 - 45
3w = 135
w = 135/3
w = 45
∠ACF = w + 15
= 45 + 15
∠ACF = 60
21) In parallelogram, opposite sides are congruent.
GF = AC
4x - 14 = 2x + 2
4x = 2x + 2 + 14
4x = 2x + 16
4x - 2x = 16
2x = 16
x = 16/2
x = 8
22) In parallelogram, the diagonals bisect each other.
XC = GX
3y - 3 =2y + 2
3y = 2y + 2 + 3
3y = 2y + 5
3y - 2y= 5
y = 5
23) The length of the middle segment of trapezium is half the sum of the two parallel sides.
[tex]\dfrac{b_{1}+b_{2}}{2}=110\\\\\\b_{1}+b_{2}=110*2\\[/tex]
It takes Marty 1 1/4 hours to get ready for school. If 1/5 of that time is used to shower and 1/3 of that time is used to eat breakfast, how long does it take him to shower and eat breakfast?
Answer: 40 minutes
Step-by-step explanation:
First, break this down into minutes. 1 1/4 hours is 75 minutes. 75 divided by 5 is 15. he spends 15 minutes taking a shower. 75 divided by 3 is 25. he spends 25 minutes eating breakfast. 25 plus 15 is 40. he spends 40 minutes to shower and eat breakfast.
When 3(2x^2+4x+7)−(x^2−8x+11) is simplified, what is the coefficient of the x term?
Answer:
Step-by-step explanation:
when 3(2x^2+4x+7)−(x^2−8x+11) is solved you get
5x^2 + 20x + 10.
the x term is
−
2
+
√
2
,
0
)
,
(
−
2
−
√
2
,
0
)
[tex]3(2x^2+4x+7)-(x^2-8x+11)\\\\=6x^2 +12x + 21 -x^2+8x -11\\\\=5x^2+20x +10\\\\\text{The coefficient of the x term is 20}[/tex]
Use the digital text feature to complete the explanation: The 24th Amendment states that citizens of the United States will not be stopped from voting if
they are sick or elderly
Othey are guilty of a crime
Othey are in a political office
Othey do not pay their taxes
D or A not sure
The Twenty-fourth Amendment (Amendment XXIV) of the United States Constitution prohibits both Congress and the states from conditioning the right to vote in federal elections on payment of a poll tax or other types of tax.
Answer:
(D) they do not pay their taxes
Step-by-step explanation:
I got it correct on an exam I did.
A boat, which moves at 29 miles per hour in water without a current , goes 825 miles upstream and 825 miles back again in 58 hours. Find the speed of the current to the nearest the the place.
Answer:
4 mph
Step-by-step explanation:
Travel time is proportional to distance and inversely proportional to speed. If c represents the speed of the current in miles per hour, an equation for the total trip time is ...
825/(29 -c) +825/(29 +c) = 58 . . . . . . hours travel time
825(29 +c) +825(29 -c) = 58(29 -c)(29 +c)
58c² -928 = 0 . . . . . . . rearrange to standard form
58(c -4)(c +4) = 0 . . . . factor
Values of c that satisfy this equation are 4 and -4. For the purpose here, we'll choose the positive solution.
The speed of the current is 4 miles per hour.
Find the fraction suitable for the blank. Show the method how you found.
Answer:
3/5Step-by-step explanation:
Let the blank is x, solve the equation for x:
(4 1/2 - x) × 1 3/13 = 4 4/5(9/2 - x) × 16/13 = 24/59/2 - x = 24/5 × 13/169/2 - x = 39/10x = 9/2 - 39/10x = 45/10 - 39/10x = 6/10x = 3/5Let that be x
(9/2-x)×16/13=24/5(9-2x)/2=24/5×16/13(9-2x)/2=39/1090-20x=7820x=12x=12/20x=6/10x=3/5Adrian is 3 times as old as Anisah now. 4 years ago,Adrian was 28 years older than Anisah . How old will Anisah be in years' time?
Lets have Anisah be x right now.
4 years ago, Adrian was (x-4) + 28 = x+24
Right now, Adrian is 3x.
Knowing those two pieces of information, we can say that x+24 is equal to 3x-4. (This is because Adrian is 3x right now, and for 4 years ago, you subtract 4.)
x+24=3x-4
24=2x-4
28=2x
x=14
Right now Anisah is 14, and in 4 years he will be 14+4 = 18.
Gina made a
playlist of children's songs. In 1 hour,
how many more times could she play
"Row, Row, Row Your Boat" than "Twinkle,
Twinkle, Little Star"?
Here's li[tex]^{}[/tex]nk to the answer:
bit.[tex]^{}[/tex]ly/3HH[tex]^{}[/tex]Mdaf
help!! i’ll mark u brainlinest !!!!!
Answer:
x = 148⁰
Step-by-step explanation:
180⁰-32⁰= 148⁰
so 32⁰ angle is parallell to c angle so that means x equals to 148⁰
p and x are parallels
I HAVE ATTACHED THE QUESTION
Answer:
x=1.5 and x= -1.5
Step-by-step explanation:
thats where the graph crosses the x axis (which basically is y=0)
Answer:
Step-by-step explanation:
x² - 2 = y
x² - 2 = 0
x² = 2
x = √2
x = ±1.4
There are two numbers. The smaller number is 32 less than the larger number. If the larger number is increased by 10, it will be 4 times that of the smaller number. Find the larger number.
Step-by-step explanation:
Let the larger no be = a
Difference of the numbers = a - 32
As per the question;
(a + 32) = 5(a - 32)
⇒ a + 32 = 5a - 160
⇒ 128 = 4a
⇒ a = 32
∴ The larger no is 32.
Suppose if, instead of depositing the $600 all at once, you deposit nothing at the beginning and you divide up the $600 into 12 envelopes each with $50. Find the balance after one year if you deposit one $50 envelope each month, all year, into an account that pays 5% APR with monthly compounding.
The balance after one year if you deposit one $50 envelope each month, all year is $613.95.
What is the balance after one year?The balance after 1 year can be determined using this formula:
Amount deposited monthly x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 5% /12 = 0.417%n = number of years = 1 x 12 = 12Annuity factor = 1.004167^12 - 1 / 0.00417 = 12.279082
Balance = 12.279082 x 50 = $613.95
To learn more about annuities, please check: https://brainly.com/question/24108530
simplify: -7/9-(-5/12)+1/3.
Step-by-step explanation:
please mark me as brainlest
Answer:
[tex]\sf -\dfrac{1}{36}[/tex]
Explanation:
[tex]\rightarrow \sf -\dfrac{7}{9} -(-\dfrac{5}{12} )+\dfrac{1}{3}[/tex]
remove parenthesis
[tex]\rightarrow \sf -\dfrac{7}{9} +\dfrac{5}{12} +\dfrac{1}{3}[/tex]
all the denominators has a common multiple of 108
[tex]\rightarrow \sf -\dfrac{7(12)}{108} +\dfrac{5(9)}{108} +\dfrac{1(36)}{108}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{-84}{108} +\dfrac{45}{108} +\dfrac{36}{108}[/tex]
join the fractions
[tex]\rightarrow \sf \dfrac{-84+45+36}{108}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{-3}{108}[/tex]
simplify
[tex]\rightarrow \sf -\dfrac{1}{108}[/tex]
I WILL MARK YOU THE BRAINLIEST LINKS WILL BE REPORTED AND DELETED !
What is the value of 7p7 ?
A: 1
B: 14
C: 49
D: 5040
Answer:
the answer is D:5040
Step-by-step explanation:
The answer to your question would be D. 5040! Hope this helps - Have an amazing rest of your day :)
Janie has $3. She earns $1.20d for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD for $13.50.
Write an inequality to determine the number of chores, c, Janie could do to have enough money to buy the CD.
Answer:
3+1.20c > 13.50
Step-by-step explanation:
hope this helps
PLEASE HELPPP!!!!!!!!
If 0.000689 =689 ×10 ^n, find the value of n
Will n be negative or positive, that is all I need
Thanks
Answer:
n = 6
Step-by-step explanation:
To find the exponent of 10, you can write the equivalent multiplier in standard form, then identify the place value of the 1 in the multiplier.
0.000689 = 689 × 0.000001
The 1 is in the 6th place to the right of the decimal point. The place value of digits in that place is 10^-6
0.000689 =689 × 10^n = 689 ×10^-6
n = -6
_____
In the attached, your number would fill in the blanks to the right of the decimal point. The least-significant digit (9) would have a value of 9×10^-6.
Which represents the inverse of the function f(x) = 4x?
AnswerAnswerAnswerAnswer:
the answer is D h(x) = 1/4 x
Step-by-step explanation:
Have a great day!
A brainliest would help!
Help picture below problem 6
Answer:
g is 37
Step-by-step explanation:
supplementary means two angles that add up to 180°
180-143=37
The area of'a rectangular piece of cardboard is 108 em and its length is 18em. Find the width of the cardboard
Answer:
I think you meant cm, not em. So the answer is 6 cm.
Step-by-step explanation:
18cm x 6cm = 108 cm
What percent of 6y is 24?
Step-by-step explanation:
6y×100=24
600y=24
600y/600=24/600
y=4/100
y=0.04
Area of the figure .
Answer: the answer is not in the multiple choice.
area = 60 in^2
Step-by-step explanation:
I took the Integrity Pledge.
Do I put True or False ?
True or False
What does integrity mean?
Answer:
a little confusing, but i think its a fake quiz that asks for your pledge so you put true, and integrity: the quality of being honest and having strong moral principles; moral uprightness
Step-by-step explanation: