Answer: 59049
Step-by-step explanation: 3 to the power of 10 = 310 = 59049.
( I hope this helped <3 )
The number 3 raised to the power of 10 (that is [tex]3^{10[/tex]) is calculated as: 59,049.
How to find the tenth power of a number?The step-by-step calculation for 3 to the tenth power ([tex]3^{10[/tex]) is shown and explained below:
Start with the base number, which is 3.
Multiply the base number by itself to the power of 1:
[tex]3^1[/tex] = 3
Continue multiplying the result by the base number for each subsequent power:
3² = 3 × 3 = 9
3³ = 3 × 3 × 3 = 27
[tex]3^4[/tex] = 3 × 3 × 3 × 3 = 81
[tex]3^5[/tex] = 3 × 3 × 3 × 3 × 3 = 243
[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729
[tex]3^7[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187
[tex]3^8[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 6,561
[tex]3^9[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 19,683
[tex]3^{10[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 59,049
Therefore, 3 raised to the power of 10 is equal to 59,049.
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13. Nine less than a number is no more than 8 and is no less than 3.
Step-by-step explanation:
I think we can choose the number 5 so
9 - 5 = 4 no more than 8 and less than 3
Answer:
[tex]&#x \in [12, 17][/tex]
Step-by-step explanation:
[tex]3 \leq x-9 \leq 8 \\ \\ \leq x-9 \\ 3+9 \leq x \\ \leq x[/tex]
[tex]&#x-9 \leq 8 \\&#x \leq 8+9 \\&#x \leq 17 \\ \leq x \leq 17[/tex]
[tex]&#x \in [12, 17][/tex]
What is the rate of change/slope?
Miles per hour
2 hours= 70 miles
4 hours= 140 miles
6 hours= 210 miles
8 hours = 280 miles
Answer:
35 miles per hour
Step-by-step explanation:
The slope is
m = (y2-y1)/(x2-x1)
= (280-210)/(8-6)
= 70/2
= 35 miles per hour
Answer: 1hr/35miles
Step-by-step explanation:
Esteban's credit card issuing bank charges him an APR of 16% on new purchases, and 24% on
cash advances. What would the bank charge Esteban monthly in finance charges for a $700 cash
advance?
Answer: $14
Step-by-step explanation:
Hi, to answer this question we have to multiply the amount of the cash advance (700) by the APR for cash advances in decimal form (divided by 100):
700 x (24/100) = $168 (a year)
To obtain the monthly charges, we have to divide the result by the number of months in a year (12):
168 /12 = $14
Feel free to ask for more if needed or if you did not understand something.
a car runs 20mph how much does it travel in 1 hour
D= 90* AC=17 cm AD=10 cm CD=?cm
please in need help in this
Answer:
Step-by-step explanation:Idon't say u must have ro mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me....
Answer:
CD=
[tex] \sqrt{189} [/tex]
Step-by-step explanation:
using phaythagorous theorem
CD^2+10^2=17^2
CD^2= 17^2-10^2
CD^2=289-100
CD^2=189
CD=
[tex] \sqrt{189} [/tex]
Somebody please help me thank
Answer:
Step-by-step explanation:
[tex]5.003*10^{9}=5,003,000,000[/tex]
5.003* 10⁹ < 5,083,000,000
Gus has a checking account balance of $75. His bank will fund the a debit card purchase that creates a negative balance up to a limit of $200, but charges a $35 fee per transaction for any purchase made in overdraft. Gus made a purchase of $100 yesterday, and another purchase of $27 today. He used a debit card for each purchase. Then, he deposited a check for $25. What is Gus' current account balance?
Answer:
Step-by-step explanation:
Starting off we have this information:
Gus has $75 (g = 75).
He can withdraw up to 200 dollars more than he has.
This is the tricky part: when they say "Made in overdraft" it can mean two things. 1. Any transaction made while already in overdraft, or 2. Any transaction made that puts him into over draft. I will provide answers for both.
Anyway, every time he purchases while in overdraft, he loses another $35.
He spends a total of $127 before overdraft fees.
He then gains $25 dollars.
So, for the first interpretation:
75-100-(27+35)+25 = $-62
For the second interpretation:
75-(100+35)-(27+35)+25 = $-97
Hope this helped.
The volume, V, of a rectangular solid is found using the equation V= Iwh, where I is the length, w is the width, and h is the height of the solid. A rectangular solid has length of 16 and height of 5. Which equation represents the volume of the solid, in terms of its width?
Answer:
Volume = length × width × height
length = 16
height = 5
V= 16 × w × 5
V = 80w
Hope this helps.
Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.
Answer:
no
Step-by-step explanation:
Answer: I thinks its D if im wrong sorry
Step-by-step explanation:
x^3/x^1/6=x^a value of a in simplest form?
Answer: a = 17/6
Step-by-step explanation:
I will use two laws of indices to solve this question
1. x^a / x^b = x^(a-b)
2. x^a = x^b, => a = b
Using both laws
x³/x^1/6 = x^a
x^(3-1/6) = x^a
3 - 1/6 = a
a = 3 - 1/6
a = (18 - 1)/6 using LCM
a = 17/6
The rectangular field at Wilson Middle School is 300 feet long and 175 feet wide. In gym
class, students warm up by jogging along the edges of the field. What is the total number
of feet they jog?
475 feet
950 feet
52.500 feet
105.000 feet
the total number of feet they jog is 950 feet.
Does (3, –8) make the equation y = –x + –5 true?
Answer:
true
Step-by-step explanation:
y = –x + –5
Substitute the point into the equation
-8 = -3 + -5
-8 = -8
This is true so the point is a solution to the equation
The function h(x) is a translation of the exponential function g(x) = 2(3)* - 4. What's
h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9
units, and a horizontal shift to the right 7 units?
Answer: The correct answer is A
Step-by-step explanation:
The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex] is [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].
Given that,
The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex]
We have to determine,
What's h(x) if the translation is a vertical stretch by a factor of 2, a vertical shift upward 9 units, and a horizontal shift to the right 7 units?
According to the question,
Exponential function; [tex]g(x) = 2(3)^{x-4}[/tex]
To find the translation in h(x) following all the steps given below.
Step1; The function h(x) is vertically stretched by 2.[tex]h(x) = 2(2(3)^{x-4} )\\\\h(x) = 4(3)^{x-4}[/tex]
Step2; Vertically shift upward by 9,[tex]h(x) = 4(3)^{x-4} \\\\h(x) = 4(3)^{x-4} - 9[/tex]
Step3; And a horizontal shift to the right 7 units,[tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex]
Hence, The function h(x) is a translation of the exponential function,
[tex]g(x) = 2(3)^{x-4}[/tex] is [tex]h(x) = 4(3)^{x-7} - 9\\\\[/tex].
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Which expressions are equivalent to 5x-15? Select three options
B,C,E
Answer:
5(x-3)
Step-by-step explanation:
5(x - 3)
= 5*x - 5*3
= 5x - 15
Answer:
yup this is correct b,c,e
Step-by-step explanation:
I will give brainliest answer
Answer:
The answer would be 12.571428571 units or 12.57units.
Tanisha is going bowling with her friends. It costs $3.00 to rent a pair of shoes and $4.50 per game. If Tanisha has $16.50, which equation can she use to determine how
many games, g, she can bowl?
1.3g + 4.50 = 16.50
2.4.50g + 3 = 16.50
3.3(9 + 4.50) = 16.50
4.3+4.50 + 16.50 = g
pls help
Find the value of x in the triangle shown below.
Answer:
58
Step-by-step explanation:
since the triangle has two sides of the same length (6.2cm), this means that it is a isosceles triangle, and that also means that the two angles at the base are the same (both will be 61 degrees)
then just use 180 minus the two angles and you will get x
Can someone help me on this? I really need help badly.
Answer:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
Step-by-step explanation:
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.
One more than six times that number is 37. Select the solution and graph that represents the original number. x = 4 Point 4 graphed on number line. x = 6 Point 6 graphed on number line. x = 7 Point 7 graphed on number line. x = 9 Point 9 graphed on number line.
Answer:
x = 6
Step-by-step explanation:
to solve this you can just subtract 1 from 37 which is 36 and divide it by 6 which is 6.
1.) Edge Fitness charges $18 a month for a gym membership and a $30 start-up fee. How much would you spend after 1 year at the gym?
Equation:
Answer:
$246
Step-by-step explanation:
30 + 18(12)=
30 + 216
246
Answer:
30+12*18=246
Step-by-step explanation:
İf the bill 18 dollars for month, it's equals 216 from 12*18.
And the start-fee is 30 dollars. Then 216+30=246
Where was her mistake if she made any?
IS THIS A FUNCTION OR NOT HELP PLEASEEEEEE! The table compares the amount of homework Khaled gave to his class, and the number of students who completed them, for several different occasions. Can the number of students who completed their homework be represented as a function of the homework's size? Homework (# of questions) Complete (# of students) 5 55 30 3030 8 88 24 2424 6 66 26 2626 10 1010 20 2020 4 44 32 3232 7 77 25 2525 6 66 26 2626 8 88 24 2424 Choose 1 answer:
Answer: The answer is Yes.
Step-by-step explanation:
Can not represent as a function. since some output have more than one input
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually
No, because various numbers of students complete different sizes of homework, the number of students who finish their homework cannot be expressed as a function of the size of the assignment.
Khaled, for instance, was assigned a size 8 assignment twice, and on each occasion, a different amount of pupils finished it (24 and 21). There should only be one output for each input in a function, yet in this situation, some inputs have more than one output.
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Complete question:
The table compares the amount of homework Khaled gave to his class, and the number of students who completed them, on several different occasions. Can the number of students who completed their homework be represented as a function of the homework's size?
Homework Complete
5 30
8 24
6 26
10 20
4 32
7 25
6 26
8 24
The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost in 9 years?
Answer: After 9 years, the ticket will be $13.79
Answer:
$13.79
Step-by-step explanation:
FV = PV(1+r/100)^9
A =7.50 (1+ [7/100]) ^9
A = $13.79 per ticket
-5/6+2/6=
What is the answer to this?
Step-by-step explanation:
Since they have a common denominator the answer is (-5 + 2) / 6 = -3 / 6 = -1/2.
Answer:
-1/2
Step-by-step explanation:
2/6-5/6=
(-(5-2))/6=
-3/6:
-3/3=-1
6/3=2
-3/6=-1/2
please help me out, and find the volume i don’t know how to do this, if you can please explain how to do it as well
ur gonna do : lxbxh
so :
8x5x7
the answer is 280 yd cubed
in order to pay for his expenses Chuck needs to earn $3,400 at least every month when Chuck Works overtime he earns $5000 per month if the variable T stands for the amount of money Chuck has left after paying for his expenses every month, which of the following choices is the most reasonable value for e when he works overtime
A. $600
B. $1600
C. 1200
D.$8400
Answer:
B. $1,600Step-by-step explanation:
$3,400 + T = $5,000
T = $5,000 - $3,400
T = $1,600
Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135
Answer:
Please mark be brainliest and I hoped this helped!
x = 45°
Step-by-step explanation:
Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.
Answer:
Step-by-step explanation:
j
question in attachment
Answer:
The range within 1 standard deviation :155.12 ,328.38
Step-by-step explanation:
Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]
[tex]Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}[/tex]
Mean =241.75
[tex]\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]
Standard deviation = [tex]\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}[/tex]
Standard deviation =86.63
Range within 1 standard deviation :[tex](\mu-\sigma,\mu+\sigma)[/tex]
Range within 1 standard deviation :(241.75-86.63,241.75+86.63)
Range within 1 standard deviation :155.12 ,328.38
Hence The range within 1 standard deviation :155.12 ,328.38
Nathan is facing west. He takes a quarter-turn anticlockwise. What direction is he now facing?
Nathan is facing West and when he takes a quarter-turn anticlockwise, then he will be facing South.
A quarter-turn anticlockwiseA quarter-turn anticlockwise means turning [tex]90^{\circ}[/tex] toward the left side.
How to find the direction?Suppose a circle where Nathan is facing West.
Now when he takes a quarter-turn anticlockwise means [tex]90^{\circ}[/tex] toward the left side, he would end up facing South.
So, the direction in which he is facing is South.
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A carnival ride is in the shape of a wheel with the radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive full credit.
Answer:
α = 12°
L = 6.28 ft
[tex]A = 94.25 ft^2[/tex]
Step-by-step explanation:
The wheel contains 30 cars attached to it.
The wheel is in the shape of a circle and a circle has 360°.
Therefore, the angle between any two cars will be:
360 / 30 = 12°
The length of the arc between two cars is given as:
[tex]L = \frac{\alpha }{360} * 2\pi R[/tex]
where α = central angle of sector
R = radius of circle
Given that the radius of the wheel is 30 feet, the length of the arc is:
[tex]L = \frac{12}{360} * 2 * \pi * 30\\\\L = 6.28 ft[/tex]
The area of a sector is given by:
[tex]A = \frac{\alpha }{360} * \pi R^2[/tex]
Therefore, the area of the sector between any two cars is:
[tex]A = \frac{12}{360} * \pi * 30^2\\\\A = 94.25 ft^2[/tex]
