Answer:
98
Step-by-step explanation:
This is an arithmetic sequence
The common difference is 10-2 =8
a1 = 2
an = a1+d(n-1)
an = 2+8(n-1)
we want the 13th term
a13 = 2 +8(13-1)
=2+ 8*12
= 2+96
= 98
Doug is a dog, and his friend Bert is a bird. They live in Salt Lake City, where the streets are 1/16 miles apart and arranged in a
square grid (see map). They are both standing at the corner of 6th avenue and L street. Doug can run at an average speed of 30
mi/hr through the streets of Salt Lake, and Bert can fly at an average speed of 20 mi/hr. They are about to race to the corner of
10th avenue and Estreet. who would win and why?
No map given but it shouldn't matter.
E is the 5th letter, L the 12th.
Start at S(6,12). End at E(10,5)
The vector between them, E-S=(4,-7)
Each unit is 1/16 of a mile, though that probably doesn't matter that much.
Doug has to stay on the grid, so has to run |4|+|7|=11 units. At 30 mi/hr that takes (11/16)/30 = 0.022916 hours.
Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units. At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.
Answer: Doug wins
Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph. That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.
Answer:
Doug wins. He finishes in 1.38 minutes. Bert takes 1.51 minutes.
Step-by-step explanation:
Each city block is a square 1/16 mile by 1/16 mile.
From 6th Av and L Street to 10th Av and E Street, they need to go 4 avenues and 7 streets over. These two distances along blocks are the legs of a right triangle. The right triangle has legs of length 4 * 1/16 mile and 7 * 1/16 mile.
leg1 = 4 * 1/16 mile = 0.25 mile
leg2 = 7 * 1.16 mile = 0.4375 mile
The hypotenuse of the right triangle can be calculated by the Pythagorean theorem.
a^2 + b^2 = c^2
(0.25 mile)^2 + (0.4375 mile)^2 = c^2
c = 0.50389
The direct distance from one corner to the other is 0.50389 miles.
The bird travels this distance since the bird can fly above the streets.
The dog has to travel along the legs of right triangle by running in the streets and avenues. The dog travels 0.25 mile + 0.4375 mile = 0.6875 miles
Now we need to see what takes less time:
Bird: distance of 0.50389 miles at 20 mph, or
Dog: distance of 0.6875 miles at 30 mph
We start with the formula for speed:
speed = distance/time
s = dt
Now we solve it for time:
st = d
t = d/s
Time equals distance divided by speed.
Now we find the times for the bird and for the dog.
Bird:
t = d/s = (0.50389 mi)/(20 mi/h) = 0.02519 hours = 1.51 minutes
Dog:
t = d/s = (0.6875 mi)/(30 mi/h) = 0.0229 hours = 1.38 minutes
The bird takes 1.51 minutes, and the dog takes 1.38 minutes.
The dog takes less time to get there, so the dog wins.
What is 8,080 divided by 37 as a decimal? A) 218.378 B) 218.378 C) 218.378 D) 218.3783
Answer:
218.378 is the answer.
Answer:
D
Step-by-step explanation:
Because it is repeating decimal.
Hope this helps.
pls help will mark as brainliest
Answer:
C
Step-by-step explanation:
Answer:
D cannot be used. first 3 are correct
Step-by-step explanation:
help please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4 feet by 3 feet
Step-by-step explanation:
I hope this helped you out
What is the lateral area of the cone to the nearest whole number? The figure is not drawn to
scale.
15,080 m2
25,133 m2
45,239 m2
50,265 m2
Answer:
The lateral surface area of the cone is [tex]25120\ m^2[/tex].
Step-by-step explanation:
We have.
Height of a cone is 60 m
Diameter of a cone is 10 m
Radius, r = 80 m
The lateral surface area of a cone is given by :
[tex]A=\pi rl[/tex]
l is slant height of the cone,
[tex]l=\sqrt{60^2+80^2} =100\ m[/tex]
Plugging all values in above formula,
[tex]A=3.14\times 80\times 100\\\\A=25120\ m^2[/tex]
So, the lateral surface area of the cone is [tex]25120\ m^2[/tex].
In the figure below, APE and EPD are congruent.
What is the arc measure of BAD on circle P in degrees?
Answer:
arc BAD = 244°
Step-by-step explanation:
The sum of the angles around the centre of the circle = 360°, thus
∠APD = 360° - (136 + 74 + 42)° = 360° - 252° = 108°
The angle at the centre is equal to the arc that subtends it, thus
arc BAD = arc BA + arc AD = 136° + 108° = 244°
The requried measure of arc BAD on circle P is given as 244°.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
The Arc of the whole circle measures, 2π = 360°,
Angle ∠APD is given as
∠APD = 360° - (136 + 74 + 42)°
∠APD = 360° - 252° = 108°
The angle at the center is equal to the arc that subtends it, thus
Arc BAD = Arc BA + Arc AD
Arc BAD = 136° + 108° = 244°
Thus, the requried measure of arc BAD on circle P is given as 244°.
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I will mark brainliest to first correct answer!
Answer:
C
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
The shaded numbers show a pattern in the multiplication table. Which
expression can find the number that comes next in the pattern?
Xo 1 2 3 4 5
0 0 0 0 0 0 0
10 1 2 3 4 5
2 0 2 4 6 8
3 0 3 6 9 12
4 0 4 8 12 16
5 0 5 10 15 20 25
25 X4
25 + 11
25 +
1
25 +1
25 x 6
25 x 6
Answer:
25 + 11
Step-by-step explanation:
As it is summing up by odd numbers
so 16+9 is 25
and then 25 + 11 as eleven is the next odd number after 9
Answer: 25+11
HOPE THIS HELPS
Solve 2x+7>+x +19
and can you do the same if 2 was 3.
2nd question is write an expression if 3 was open inequality and line continues past negative 5
Answer:
Step-by-step explanation:
Original problem:
2x + 7 > x + 19
Subtract x from both sides.
x + 7 > 19
Subtract 7 from both sides.
x > 12
Problem with 3 instead of 2.
3x + 7 > x + 19
Subtract x from both sides.
2x + 7 > 19
Subtract 7 from both sides.
2x > 12
Divide both sides by 2.
x > 6
2nd question (I'm not sure I understand it correctly.)
x < 3
Solving 2x + 7 > x + 19
2x + 7 > x + 19
Move 7 by subtracting from both sides.
2x > x + 19 - 7
2x > x + 12
Move x by subtracting from both sides.
2x - x > 12
x > 12
Therefore, x is greater than 12.
Solving 3x + 7 > x + 19
3x + 7 > x + 19
Move 7 by subtracting from both sides.
3x > x + 19 -7
3x > x + 12
Move x by subtracting from both sides.
3x - x > 12
2x > 12
Divide 2 on both sides to get x.
2x/2 > 12/2
x > 6
Therefore, x is greater than 6.
Part 2:
Write an expression for if 3 was open inequality and line continues past negative 5. This may not be correct due to the vagueness of what it's asking.
Expression: x < -5 < 3
x indicates all real numbers less -5
3 is open inequality and is the greatest
The 2nd question is like really vague.
Please help
Find answer Asap and I will mark as brainliest!!
Answer:
3 units.
Step-by-step explanation:
If you view the triangle face in halves, the bottom leg is units as 8/2 = 4. The hypotenuse is 5 units given in the centre of the triangular prism. You can then use the Pythagorean theorem to calculate that the height is 3.
I need help.! ASAP PLEASE
Answer: The answer is 9
Step-by-step explanation:
It is 9 because 3x3x3x3 is basically 9x9 and 9x9 is 81, so 81 is the numerator. Then we gat to the denominator, which is 3x3 and 3x3 is 9. So the new fraction you get is 81/9, which is basically 81 divided by 9. 81 divided by 9 is 9.
Answer:
9
Step-by-step explanation:
Subtract 2 from the 4 exponents on the numeral, then multiply that exponent, which would be 3×3=9 .
50 POINTS HELP ASAP
Answer:
its 10 points not 50
Step-by-step explanation:
Bus a and bus b leave the bus depot at 6pm bus A takes 20 minutes to do its route and bus B takes 45 minutes to complete its route at what time are they both back at the bus depot together
Give your answer as a 12-hour clock time
Answer:
9:00pm
Step-by-step explanation:
20 + 20 + 20 +20 + 20 + 20 + 20 + 20 +20 = 180
45 + 45 + 45 + 45 = 180
Bus A would've taken 9 routes and Bus B would've taken 4, to reach the bus depot together
180 mins - hours = 3 hours
6 + 3 = 9
100 to anyone who can answer all of these !!!
Answer:
24yrds is (a) 24.12yrds is (b) 64yrds is (c) And that's all i can do, don't get mad at me please.
Step-by-step explanation:
Find the missing angle measurements
Answer:
The angle for the top of the triangle is 79. For the right corner would be 56. Then going to the bottom of the blue triangle vertice would be 75. The missing angle next to that one would be 55/
Step-by-step explanation:
Find the measure of the third angle of a triangle if the measures of the other two angles are given. 31.8 and 89.8
Answer:
58.4 Degrees
Step-by-step explanation:
Look at the attachment
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The measure of the third angle of a triangle is 58.4°.
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The sum of all the angle of the traingle is always 180°.
31.8° + 89.8° + x = 180°
x = 58.4°
Hence, the measure of the third angle of a triangle is 58.4°.
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Write an equation in slope-intercept form for the line that passes through (−2,−5) and is parallel to the line described by y=2x+5 .
Answer:
y + 5 = 2(x + 2)
y + 5 = 2x + 4
y = 2x - 1
Step-by-step explanation:
Chris needs at least a C+ average to pass his math class. His test grades in the class are shown below. 68, 80, 73, 72 The lowest C+ grade is 76. If there are only 5 tests, what is the minimum grade that Chris needs to get on his last test? A. 97 points B. 89 points C. 85 points D. 87 points
Answer:
C
Step-by-step explanation:
Answer:
B 89 points
Step-by-step explanation:
you calculate the mean, basically trial and error. So you add one of the answers to 68+80+73+72 and then divide by 5 because there are five tests
hope this helped<33
Which of the following represents the factorization of the binomial below ? x^2 - 144
It factors to (x+12)(x-12)
This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7
I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)
What is the shape of the graph of the function?
h(t) = 0.32 - 0.5t
Its pretty obvious since the other answer has 1 star, but its B. I got it right on khan academy:)
The correct statement is option A)
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: The graph of the function h(t)=0.32-[tex]0.5^t[/tex]
which can be re written as h(t)= [tex]\frac{8}{25}[/tex] - [tex]\frac{1}{2} ^t[/tex]
Thus clearly as the value of t increases or as we move from negative to positive values the graph of the function tends towards zero and is negative for negative values of t.
For instance, at t= -4 we have
8/25 - 16=15.68
and at t=4 we have
8/25 - 1/16 =0.2575
And it intercepts the x-axis at (1.644,0)
Clearly h(t) is smaller for negative values of t and higher for higher values of t and thus has a upward curvature when we input the values from left to right.
Hence, The curve should slowly bend towards x-axis and option A is the correct answer because the graph is higher values for higher values of t.
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The graph of f(x) is shown. Estimate f(-3).
f(-3) = 1
Answer:
There is no graph.
But 1 would be a good estimate if f(-3)=1
Step-by-step explanation:
Plz help Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile
Purple
Pink
Orange
Number of times the tile is drawn
4
24
22
What is the experimental probability that Jenny will pull out an orange tile? 22 over 50 17 0ver 50 22 over 28 or 17 over 28
Answer:
22/50?
Step-by-step explanation:
Answer:
22/50
Step-by-step explanation:
This is an experimental probability. This means that it is based on the experiment given to us. We know that out of the 50 times that she has pulled a tile out of the bag, she has gotten orange 22 of those times. Based on those results we can say that the probability of her choosing an orange again is 22/50. Or 44%.
Can someone helpppppppppp
Answer:
A
Step-by-step explanation:
The reason it is A is because
It goes in biggest to lowest A B C D
C and B don't follow that so we are left with A and D
In answer D C and B are too close in percentage therefore it cannot be D
Therefore your answer is A
Hope this helped!
PLEASE HELP ME!! IM IN DESPERATE NEED OF HELP
The length of a rectangle is three times as long as its width. The width of this rectangle is 6 inches smaller than its length. Find the length and the width
Answer:
12
Step-by-step explanation:
Answer:
width is 3 and length is 9
Step-by-step explanation:
width is 3 bcs 3*3=9-6=3 satisfied?
Can someone please help me with this?
i’m doing the first one.
the filled in circle goes to the 8 and put an arrow facing the right.
inequality-
x ≥ 8
What factors do 6 and 12 have in common?
Answer:
6x^2 im pretty sure thats whats its asking for
Step-by-step explanation:
2. The size of a conC. 3 times the size of a cylinder is:
A. 1/3 the size of a cylinder.
B. 2/3 the size of a cylinder.
C. 3 times the size of a cylinder.
D. the same as the size of a cylinder.
Answer:
The answer is A.
Step-by-step explanation:
The product of Jack's age and Florence's age is 266. Jack is 14 years
old. How old is Florence?
Answer:
19
Step-by-step explanation:
you divide 266 by 14
Answer:
19
Step-by-step explanation:
266 ÷ 14 = 19
need answer asap!!!!!!!!!!!
Answer:
126 degrees
Step-by-step explanation:
A straight line makes a 180 degree angle. Since we know one side is 54, just subtract 54 from 180.
What is the value of s?
units
0
5
В
8
15
S
D
Consider the triangle ABD,
Here,
AB = 5
BD = 15
AD = s
As we know,
In a triangle, the sum of lengths of two sides is greater than the third side.
So,
[tex]5 + 15 > s[/tex]
[tex]15 + s > 5[/tex]
[tex]s + 5 > 15[/tex]
Now,
To satisfy the equation, the value of s can possibly be 11, 12, 13, 14, 15, 16, 17, 18, 19
Answer: the value of s is 17 units
Step-by-step explanation: youre welcome
