Answer:
Step-by-step explanation:
First find the natural log of 4200: It is 8.343.
Then 4200 = e^8.343
Simplify the expression.
2x³y +7x³y-xy³
Answer:
xy*(2x^2 + 7x^2 - y^2)
Step-by-step explanation:
You can get xy out of the expression since all have xy
A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165º. To the nearest tenth, what is the length of the intercepted arc between those two cars on the Ferris wheel?
Answer: 230.4 feet
Step-by-step explanation:
arc length = circumfrance x fraction of a circle
= [tex]2\pi r[/tex] x [tex]\frac{165}{360}[/tex]
= [tex]\frac{2*\pi *80*165 }{360}[/tex]
= 230.4 feet to nearest tenth
The length of the intercepted arc between those two cars on the Ferris wheel is 230.4 feet. This is obtained by using the arc length formula in degrees.
Arc length:The distance across the curved length is said to be arc length.
The arc length is calculated by using the formula:
arc length = circumference × fraction of circle
⇒ arc length = 2πr × θ/360° when θ is given in degrees
where r is the radius.
Given data:Given that,
A Ferris wheel has a radius of r=80 feet
Two particular cars are located such that the central angle between them is 165° i.e., θ = 165°
Calculating the length of the arc:arc length = 2πr × θ/360°
⇒ 2π×80×[tex]\frac{165}{360}[/tex]
⇒ 230.38 feet
Rounding off to the nearest tenth, we get arc length = 230.4 feet.
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dan deposits 6,000$ into an account that pays simple interest at a rate of 6% per year . how much interest will he be paid in the first 6 years
Answer:
6,000+6%=6,360
Total in 6 years: 2,160
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
x2+134=−2x−14
ok this took a while But ...The first term is, x2 its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is +148
Step-1 : Multiply the coefficient of the first term by the constant 1 • 148 = 148
Step-2 : Find two factors of 148 whose sum equals the coefficient of the middle term, which is 2 .
pls let me be right
Mandy drove 206 miles from Newcastle to Birmingham and stayed overnight at a
hotel costing £45. She then travelled 117 miles to London and stopped in another
hotel costing £68. From London, she drove 282 miles back to Newcastle. How many
miles in total did she drive, and what was the total cost of her accommodation?
Answer:
£113 and 603 miles.
Step-by-step explanation:
206 + 117 + 282 = 605 miles
45 + 68 = £113
£113 and 605 miles.
Tim has four credit cards with the balances and aprs listed in the chart below. what will tim's total monthly minimum credit card payment need to be to pay off all four credit cards in 24 months? credit card balance apr a $1,260.00 12% b $900.00 18% c $1,290.00 9% d $1,200.00 16% a. $118.24 b. $162.62 c. $163.00 d. $221.93
Answer: D) $221.93
Step-by-step explanation: that's the answer on edge.
The solution is, the minimum monthly payment is $221.93. Among the choices, the answer is D.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
Solving for the future values of the credit card balances:
1260(1 + 0.12/12)^24
= 1599.8656571502122308900(1 + 0.18/12)^24
= 1286.55253073612259711290(1 + 0.09/12)^24
= 1543.37345291648033351200(1 + 0.16/12)^24
= 1649.0625893406018547
Adding the future balances to obtain total bill:
1599.8656571502122308 + 1286.5525307361225971 + 1543.3734529164803335 + 1649.0625893406018547
= 6078.85
Solving for the annuity A (monthly payments for each account):
1599.87 = A [(((1 + 0.12/12)^24) - 1) / (0.12/12)] A = 59.31
1286.55 = A [(((1 + 0.18/12)^24) - 1) / (0.18/12)]A = 44.93
1543.37 = A [(((1 + 0.09/12)^24) - 1) / (0.09/12)]A = 58.93
1649.06 = A [(((1 + 0.16/12)^24) - 1) / (0.16/12)]A = 58.76
Adding the annuities together to obtain the minimum monthly payment:59.31 + 44.93 + 58.93 + 58.76 = 221.93
Therefore, the minimum monthly payment is $221.93. Among the choices, the answer is D.
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Work out
26 ÷ (-7-12 ÷ 2)
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Q) 26 ÷ {(-7)-(12 ÷ 2)} = ?
→ 26 ÷ {(-7)-(12 ÷ 2)}
→ 26 ÷ {-7-6}
→ 26 ÷ -13
→ -2 is the final answer.
help brainiest if right
Answer:
h = 15 ft
Step-by-step explanation:
the line from the vertex to the base is a perpendicular bisector.
then the radius r = 16 ÷ 2 = 8
using Pythagoras' identity in the right triangle formed
with hypotenuse = 17 and legs h and 8 , then
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take square root of both sides )
h = [tex]\sqrt{225}[/tex] = 15
1) Find the length of AC in the shape pictured below
Answer:
[tex]\sqrt{117}[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem by cutting rectangle ABCD diagonally.
6^2+9^2=(AC)^2
117=(AC)^2
So the length of AC is [tex]\sqrt{117}[/tex]
Instructions: Find the measure of the indicated angle.
Answer:
x = 66
Step-by-step explanation:
the triangle has 2 congruent sides and is therefore isosceles with the 2 base angles being congruent, then
x = 66
The measure of the indicated angle is 66 degree.
What is Isosceles Triangle ?An isosceles triangle has two equal sides regardless of the direction the apex (or peak) of the triangle points. Some useful information regarding isosceles triangles is as follows:
It has two parallel sides.It has two equal angles, which are known as the basis angles.A right isosceles triangle is one in which the third angle is 90 degrees.We have a Triangle.
Then, using Isosceles Triangle Theorem
Angles opposite an isosceles triangle's equal sides are also equal.
According to the isosceles triangle theorem, if two sides of a triangle are congruent, then the angles opposite the congruent sides are likewise congruent.
So, x= 66 degree.
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A town has a population of 72,700 and grows at a rate of 3.5% every year. Which equation represents the town’s population after 4 years?
Answer:
for 4 years: [tex]72,700 + 1.035^4(72,700)[/tex]
For n years: [tex]72,700 + 1.035^n(72,700)[/tex]
Step-by-step explanation:
Since each year the growth rate is 3.5 of the last year, n will represent the number of years.
[tex]72,700 + 1.035^n(72,700)[/tex]
Therefore since n is 4, the equation will be:
[tex]72,700 + 1.035^4(72,700) =72,700 + 1.15(72,700)[/tex]
Therefore this equation represents the town after four years.
Answer:
P=72,700(1+0.035)(1+0.035)(1+0.035)(1+0.035)
Step-by-step explanation:
Which equation is y = –6x2 3x 2 rewritten in vertex form? y = negative 6 (x minus 1) squared 8 y = negative 6 (x one-fourth) squared thirteen-eighths y = negative 6 (x minus one-fourth) squared nineteen-eighths y = negative 6 (x minus one-half) squared seven-halves
The vertex form of the given equation, y = -6x² + 3x + 2, is expressed as: y = -6(x - 0.25)² + 2.375.
What is an Equation in Vertex Form?The vertex form of an equation is expressed as, y = a(x - h)² + k, where:
(h, k) = vertex of the parabola.
Given the equation, y = -6x² + 3x + 2, factor the equation:
y = -6(x² - 0.5x) + 2
y = -6(x² - 0.5 + 0.0625) + 2.375
Rewriting the equation as perfect squares, we would have:
y = -6(x - 0.25)² + 2.375
The vertex form of y = -6x² + 3x + 2 is, y = -6(x - 0.25)² + 2.375.
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Answer:
c y = -6(x-1/4)^2+19/8
Step-by-step explanation:
If f(x) = 3(x + 4), find f(2).
Answer:
18
Step-by-step explanation:
f(x) = 3(x + 4)
f(2) = 3(2 + 4)
3 x 2 = 6
3 x 4 = 12
f(2) = 6 + 12
f(2) = 18
Find the volume of the spear. Give your answer to the nearest cubic unit. 5mm
Answer:
[tex]b.\:\: 524 \: {mm}^{3} [/tex]
Step-by-step explanation:
[tex]V_{sphere} = \frac{4}{3} \pi \: {r}^{3} \\ \\ = \frac{4}{3} (3.1416) \: {(5)}^{3} \\ \\ = 523.6 \\ \\ \implies \: V_{sphere} \approx 524 \: {mm}^{3} [/tex]
Cheri took out a loan for $14,350. the loan term was 3 years and cheri’s payments were $625.77 per month. since cheri had filed for bankruptcy several years prior, she ended up paying a higher interest rate. with a better credit rating, her payments could have been $431.21 per month. how much more in interest did cheri end up paying for her loan because of her bankruptcy? a. $5,836.80 b. $2,334.72 c. $8,624.16 d. $7,004.16 please select the best answer from the choices provided a b c d
When the water was 4 feet from the end of the hose, what was its height above the ground? 3.2 feet 4.8 feet 5.6 feet 6.8 feet
Answer:
Step-by-step explanation:
a. 3.2 feet
Answer:
When the water was 4 feet from the end of the hose, what was its height above the ground?
3.2 feet <<<CORRECT4.8 feet5.6 feet6.8 feetStep-by-step explanation:
2022 Edge Unit Review Test
Liam sells artwork for $135.00 per piece. Determine how many pieces of art Liam needs to sell to break even if the variable cost per piece of art is $21.45 and the fixed expenses are $35,654.70 per year.
a.113
b.215
c.301
d.314
Answer:
D. 314
Step-by-step explanation:
135.00 - 21.45 = 113.55
35,654.70 / 113.55 = 314
Jeremy randomly selected a round tile and a square tile from the sets shown below. what is the probability that jeremy selected either two blue tiles or two white tiles? square tiles: 10 pink, 8 red, 6 blue, 12 green, 8 black, 9 white, 7 yellow.round tiles: 11 green, 5 red, 2 white, 4 black, 6 blue, 8 pink. a. 23/36 b. 4/9 c. 7/72 d. 1/40
The probability that Jeremy randomly selected a round tile and a square tile from the sets is given as 1/40 (Option D).
What is probability?
Probability in mathematics is the branch of maths that speaks to the likelihood of an event occurring. Probability is usually given or described to occur between 0 and 1.
1 is the likelihood that the event will occur while zero is the certainty that an event will NOT occur.
Taken in decimal form, the likelihood of the above event occurring will very slim, because, 1/40 = 0.025
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Miss Tamika just started an art class. She had 10 children enrolled for the first class. · Before she began the art lesson, she told each of the children to shake hands with ! each of the other children and introduce I themselves. Miss Tamika did not include i herself because she had already met each i of the children. How many handshakes were there between all of the children?
Answer:
45 Handshakes.
Step-by-step explanation:
10 people shake hands.
So, each person will shake hands with 9 other people.
Total number of handshakes = 90/2 = 45
Gabrielle and Rob each earn $22 an hour, and each works 40 hours this week. Rob spends 1/2 of his earnings this week on bills and then buys a video game for $25. 75. How much of his earnings fro
The amount spent is an illustration of subtraction and proportions
The amount left in his earnings is $414.25
How to determine the amount left in his earnings?The given parameters are:
Rate = $22 per hour
Time = 40 hours
So, the total earnings is:
Total = $22 * 40
Evaluate
Total = $880
He spent half on bills.
So, we have:
Bills = 0.5 * $880
Bills = $440
He buys a video game for $25.75
So, the amount left is
Amount left = $880 - $440 - $25.75
Amount left = $414.25
Hence, the amount left in his earnings is $414.25
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Please help me this is do today
Answer:
A. 9y + 3 = 0
Step-by-step explanation:
To know if a function is linear without graphing it, check if the function is a polynomial of the first degree, because linear functions are polynomials of the first degree. This means that the power of the x-value should be equal to 1.
The only function without this trait is 9y + 3 = 0, so that is our nonlinear function.
hope this helps :)
Find the surface area of this prism.
Answer:
252
Step-by-step explanation:
3*9 = 27
3*9 = 27
3*9 = 27
3*9 = 27
9*6 = 54
9*6 = 54
3*6 = 18
3*6 = 18
Add them all up
2. If Ariana decides to become a CPA, she will
need to continue her education. Her master's
degree will cost $28,500, but as a CPA she will
earn $73,850 each year. How much more will
Ariana earn each year as a CPA than as an
accountant each year?
Answer:
$5,700
Step-by-step explanation:
she would earn $73,850 annualy(sry for my mistakes im in 6th Grade) and the question says how much more will she arn each year as a CPA than as an accountant each year and she would make 68,150 as an accountant so you would subtract 73,850 by 68,150 and you would get $5,700.
An electric guitar costs $830, with a $225 full-replacement warranty. if the manufacturer sells 532,475 warranties and has to honor 12% of them, how much profit did the manufacturer gain from the warranties? a. $105,430,050 b. $66,772,365 c. $53,034,510 d. $508,726,615
The profit which the manufacturer gained from the warranties is a. $105,430,050
Calculations and Parameters:Given that count 12% of 532,475:
532,475 - 100%
x - 12%
x= 63, 897.
This means that 63, 897 guitars were sold with a full-replacement warranty and 532,475-63,897=468,578 electric guitars were sold without a full-replacement warranty.
Hence, to find the gain of the manufacturer, $225·468,578
=$105,430,050 from the warranties.
Option A is correct: $105,430,050
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Answer:
b.
$66,772,365
Step-by-step explanation:
100% on EDGE
Evaluate the expression for x = -4, y = -2, and z = -3.
x(y+z)
on the high attempts the picture was cut off and the last one is 98 in the picture
Answer:
Below in bold.
Step-by-step explanation:
Mean = (98+92+90+78+83+88+95)/7
= 89.1 to nearest tenth.
Deviations:
98 - 89.1 = 8.9
92 - 89.1 = 2.9
90 - 89.1 = 0.9
78 - 89.1 = -11.1 = 11.1 (absolute value)
83 - 89.1 = 6.1
88-89.1 = 1.1
95 - 89.1 = 5.9
So the MAD
= (8.9+2.9+0.9+11.1+6.1+1.1+5.9)/7
= 36.9/7
= 5.27
= 5.3 to nearest tenth.
What was the median temperature of the pond?
Answer:
70°f is the median temperature of the pond
Help asap for my sister
Answer:
A: 8.4
Step-by-step explanation:
Order of operations: BEDMAS. Brackets, exponents, division, multiplication, addition, and substraction.
Using this you need to do 2(1.2) first.
2(1.2)=2.4
Then 4.5-2.4=2.1
Then finally 4(2.1)=8.4
Hope that helps
please give brainliest
Answer:
pretty sure it's 8.4 don't come at me if it's not
Step-by-step explanation:
-2(2.1) = -2.4
4(4.5-2.4) = 4(2.1)
4(2.1) = 8.4
HELP MY COMPUTER IS ABOUT TO DIE! I ONLY GOT 1 MIN!!
Nora has a coupon for $3 off of a calzone. She orders a beef and olive calzone, and her bill, with the discounted price, is $9.49. Which of the following equations can be used to find the regular price of the calzone?
c + 3 = 9.49
9.49 - c = 3
c + 9.49 = 3
c - 3 = 9.49
Answer:
Step-by-step explanation:
c - 3 = 9.49
solve the equation using square root method, show work
Answer:
Step-by-step explanation:
2(x+7)^2 =98
(x+7)^2 = 49 (divide both sides by 2)
(x +7) = [tex]\sqrt{49}[/tex] (square root both sides)
x + 7 = 7 ( we are not sure if this is -7 or +7, because either would work )
so we have two solutions now
x +7 = -7 or x +7 = 7
x = -7 -7 or x =7 -7 (subtract 7 from both sides)
x = - 14 or x = 0