Answer: 10x^3(6+5x^2)
(b) A train of length 120 m is travelling at 144km/h.
It passes under a bridge of width 20m.
Find the time taken for the whole train to pass under the bridge.
Give your answer in seconds.
Answer:
3 seconds.
Step-by-step explanation:
First calculate the time for each 20m length to pass through the bridge.
The train takes 3600 seconds to travel 144,000 m
So it takes 3600/144000 seconds to travel 1m.
and 3600 * 20 / 144000 seconds to travel 20 m.
As the train is 120 m long and there are 6 * 20 m in 120m the answer is:
3600 * 20 * 6 / 144000 seconds.
= 3 seconds.
Triangle
F
G
H
FGHF, G, H is similar to triangle
P
Q
R
PQRP, Q, R.
Solve for
y
yy.
y
=
y=y, equals
F
F
H
H
G
G
10
10
7
7
6
6
P
P
R
R
Q
Q
5
5
3.5
3.5
y
y
Show Calculator
Answer:
a
Step-by-step explanation:
worng worng
prove the following identity showing all steps:
[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} =-sec(x)[/tex]
please help fast
Answer:
See solution below
Step-by-step explanation:
Given the expression
[tex]\frac{cos(x+30)-sin(x+60)}{sin(x)cos(x)} \\[/tex]
Recall that
cos x = sin(90-x)
cos(x+30 ) = sin (90-(x+30)
= sin(90-x-30)
= sin(60-x)
Substitute
[tex]\frac{sin(60-x)-sin(x+60)}{sin(x)cos(x)} \\= \frac{sin60cosx-cos60sinx)-sinxcos60-cosxsin60)}{sin(x)cos(x)} \\= \frac{-2cos60sinx)}{sin(x)cos(x)} \\= \frac{-2(1/2)sinx)}{sin(x)cos(x)} \\= \frac{-1}{cos(x)}\\= \frac{1}{cos(x)}\\ \\= -sec(x) Proved[/tex]
can anyone help me on absolute deviation
Answer:
what do you need help with?
Step-by-step explanation:
What is the solution for -3n = 12
Answer:
-4
Step-by-step explanation:
Answer:
n = -4
because
-3n=12
n=12/-3
n=-4
You borrow $500 to buy a computer. The simple interest rate is 15%. You pay off the loan after 4 years. How much do you pay for the loan?
Answer:
133.33
Step-by-step explanation:
sorry if im incorrect
Answer:
800
Step-by-step explanation:
what is 1/3(w+18)=12
The square below has an area of 64-16x+x^264−16x+x 2 64, minus, 16, x, plus, x, squared square meters. What expression represents the length of one side of the square?
Solve the system and find the values of x and y
Answer:
x = [tex]\frac{(a+b)}{2}[/tex]
[tex]y=\frac{a-b}{2}[/tex]
Step-by-step explanation:
System of equations has been given as,
x + y = a ----------(1)
x - y = b ---------(2)
By adding equation (1) and (2)
(x + y) + (x - y) = a + b
2x = a + b
x = [tex]\frac{(a+b)}{2}[/tex]
By substituting these values in equation (2),
x - y = b
[tex]\frac{a+b}{2}-y=b[/tex]
[tex]\frac{a+b}{2}-b=y[/tex]
[tex]\frac{a+b-2b}{2}=y[/tex]
[tex]\frac{a-b}{2}=y[/tex]
find the slope, (-2,-2) and (1,4)
Given the data set below, which is the best measure of center? 5, 1, 3, 2, 12, 10, 63, 2, 7
Answer:
5
Step-by-step explanation:
Answer:
5
hope it helped you out
Can someone please help me
Answer:
24
Step-by-step explanation:
Mia got 28 questions correct on a 40 question test. What percent of the questions did she get correct?
Answer:
70%
Step-by-step explanation:
28/40 = 14/20 = 7/10 = 0.7 = 70%
Answer:
70%
Step-by-step explanation:
100% A+
Ri |Wr
ght|ong
39 1 97.5% A+
38 2 95% A
37 3 92.5% A-
36 4 90% A-
35 5 87.5% B+
34 6 85% B
33 7 82.5% B-
32 8 80% B-
31 9 77.5% C+
30 10 75% C
29 11 72.5% C-
28 12 70% C-
27 13 67.5% D+
26 14 65% D
25 15 62.5% D-
24 16 60% D-
23 17 57.5% F
22 18 55% F
21 19 52.5% F
20 20 50% F
19 21 47.5% F
18 22 45% F
17 23 42.5% F
16 24 40% F
15 25 37.5% F
14 26 35% F
13 27 32.5% F
12 28 30% F
11 29 27.5% F
10 30 25% F
9 31 22.5% F
8 32 20% F
7 33 17.5% F
6 34 15% F
5 35 12.5% F
4 36 10% F
3 37 7.5% F
2 38 5% F
1 39 2.5% F
0 40 0% F
a circle has a diameter of 3.8n cm. what is the area of the circle?
Answer:
11.34 cm.
Step-by-step explanation:
have a nice dayyy!! :)
A cereal box has a length of 8 inches, a width of 1 3/4 inches, and a height of 12 1/8 inches what is the volume of the cereal box?
Answer:
169 3/4 in³
Step-by-step explanation:
v=l×w×h
v=8× 1 3/4× 12 1/8
21 7/32×8= 169 3/4 in³
Write a system of equations that represents the situation.
The sum of two numbers is 15. The second number is equal to the first number plus 1.
Let x = the first number Let y = the second number
First sentence: Equation 1:
Second sentence: Equation 2:
Do not include spaces in your equations.
Part 2: Find the numbers. ( ,)
Answer:
See below.
Step-by-step explanation:
Let x = the first number
Let y = the second number
First sentence: Equation 1: x+y=15
Second sentence: Equation 2: y=x+1
Part 2: Find the numbers.
x + y = 15
y = x + 1
x + x + 1 = 15
2x + 1 = 15
2x = 14
x = 7
y = x + 1 = 7 + 1 = 8
The numbers are 7 and 8.
Answer:
x = 7
y = 8
Step-by-step explanation:
x + y = 15
y = x + 1
Part 2:
x + (x + 1) = 15
x + x + 1 - 1 = 15 - 1
2x = 14
2x/2 = 14/2
x = 7
y = 7 + 1
y = 8
Therefore, x = 7 and y = 8
What is the area, in square centimeters, of the trapezoid shown below?
3 cm
9 cm
12 cm
Please help
This is a lot but please help me I’ll mark u as brilliant
Answer:
see below
Step-by-step explanation:
2:
# of sides = 3
# of vertices = 3
name of shape: triangle
3.
# of sides = 4
# of vertices = 4
name of shape: quadrilateral
4.
# of sides = 5
# of vertices = 5
name of shape: pentagon
5.
# of sides = 6
# of vertices = 6
name of shape: hexagon
6.
# of sides = 8
# of vertices = 8
name of shape: octagon
The graph of the function f(x)=5/4sin(x) is shown. What are the key features of this function?
The maximum value of the function is
The minimum value of the function is
On the interval (0. pi/2), the function is
The range of the function is
The maximum value of the function is 9/4.
The minimum value of the function is -1/4.
On the interval (0, pi/2), the function is strictly increasing.
The range of the function is [-1/4, 9/4].
Given function is:
[tex]y = \frac{5}{4} sin x +1[/tex]
What is the range of sin x?The range of sin x is [-1, 1].
So the range of [tex]\frac{5}{4} sin x[/tex] will be [-5/4, 5/4]
So the range of [tex]\frac{5}{4} sin x +1[/tex] will be [-5/4 + 1, 5/4 +1]
The range of [tex]\frac{5}{4} sin x +1[/tex] will be [-1/4, 9/4]
The maximum value of function = upper limit of the range of [tex]\frac{5}{4} sin x +1[/tex]
So, the maximum value of the function = 9/4
The minimum value of function = lower limit of the range of [tex]\frac{5}{4} sin x +1[/tex]
So, the minimum value of the function = -1/4
As we can see in the graph, in the interval (0, π/2) the function is strictly increasing.
Therefore, The maximum value of the function is 9/4.
The minimum value of the function is -1/4.
On the interval (0, pi/2), the function is increasing.
The range of the function is [-1/4, 9/4].
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The half-life of a radioactive kind of krypton is 3 minutes. How much will be left after 6 minutes, if you start with 32 grams of it?
Answer:
8 grams
Step-by-step explanation:
The half-life of a radioactive kind of krypton is 3 minutes. How much will be l6eft after 6 minutes, if you start with 32 grams of it?
The formula is given as
Nt = No(1/2) ^t/t½
Nt = 32 × (1/2) ^6/3
Nt = 8 grams
can someone solve this for me?
Answer:
A, C, D
Step-by-step explanation:
42 + 14 = 56
38 + 18 = 56
67 + 33 = 100
70 + 30 = 100
93 + 35 = 128
95 + 33 = 128
B)
40 + 22 = 62
32 + 10 = 42
62 ≠ 42
PLEASE HELP. Brainliest to whoever gives the best answer
real-world problems: 1 for the volume of a cone and 1 for the volume of a cylinder.
Answer:
See attached image.
Step-by-step explanation:
How about this answer to both? I've seen cylindrical-conic tanks in a local brewery. The tank is a cone with a cylinder on top. It's important to know the volumes of both the cylinder and the cone.
The fine you must pay for hunting without a license went from $65 to $78. What percent of increase is this? Show your work.
Answer:
20%
Step-by-step explanation:
65 and 78 are both multiples of 13. Divide both by 13, we get 5 and 6.
If we use 5 as our main value (100%), 6 would be 120% as adding 1 to the main number (5) increases it by 20%. So 6 is a 20% increase from 5.
:D
...help me pls with this work i'm timed
Answer:
10 cm
Step-by-step explanation:
multiply first 4×2 which is Base. then multiply by 1 1/4 which is 10
Use the tables to complete the statements,
Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10%
O to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37%
> 500,000
Single Taxpayers: Qualified
Dividends and Long-Term
Capital Gains
Tax Rate
Income Bracket
0%
O to 38,600
15% 38,601 to 425,800
20%
> 425,800
If she earned
Rita has a taxable income of $85,000. She sold stock after owning it for six months, resulting in a
$5,000 on the sale of the stock, Rita must pay $ In taxes on the gain,
Answer:
Short term Capital gain and $1200
Step-by-step explanation:
Any investment held under a year falls under short term capital gain
5,000 X 0.24 = 1,200
Answer:
Short term Capital gain and $1200.
Step-by-step explanation:
short term capitalGains earned by selling assets you’ve held for a year or less are called short-term capital gains, and they generally are taxed at the same rate as your ordinary income, anywhere from 10% to 37%.
Since Rita has a taxable income of $85,000.
So , she fall 24% 82,501 to 157,500 Tax rate bracket.
Therefore 5,000 X 0.24 = 1,200
Thus Rita must pay $1200 in taxes on the Short term Capital gain made by her.
click here to know more about the short-term capital gains.
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In the right triangle shown, m
[tex] \tan(30) = \frac{x}{ \sqrt{72} } [/tex]
[tex] \sqrt{72} \tan(30) = x[/tex]
x equals about 4.9 rounded to the hundredths place.
Theo, Nancy, and Mary each drove separately to meet at their grandmother's house for dinner. Theo drove 50 miles, Nancy drove √2,840 miles, and Mary's route is shown below. A right triangle with side lengths 48 miles and 13 miles. The hypotenuse is labeled Mary's Route. Approximately how many miles did Mary drive to her grandmother's house? Order the distances that each family member drove to their grandmother's house from least to greatest.
Answer:
The distance between Mary's house and her grandmother's house is approximately 49.73 miles.
The 3 traveled the following distances:
Theo rode 50 miles, Mary drove 49.73 miles, and Nancy drove 53.299 miles.
Step-by-step explanation:
Mary's route is indeed the hypotenuse of a given triangle, that has a 13-mile adjacent hand and a 48-mile wrong side. They can solve for the length of the other side of the triangle using Pythagoras' theorem because we have two sides of the triangle.
Let us just say that triangle's ellipse is x square miles. Pythagoras's theory stated that
[tex]x = \sqrt{(13^2 + 48^2)} \\\\[/tex]
[tex]= \sqrt{169 + 2,304} \\\\ = \sqrt{2,473}\\\\ = 49.729\\[/tex]
Mary's route was 49.73 square miles, to sum it up.
Nancy drove [tex]\sqrt{2,840} \ miles = 53.2916 \ miles[/tex]
As a result, Mary rode the shortest distance of 49.73 miles, Theo drove 50 miles, and Nancy drove 53.299 miles.
Answer:
49.73
Mary, Theo, Nancy
Step-by-step explanation:
Approximately how many miles did Mary drive to her grandmother’s house?
✔ 49.73
Order the distances that each family member drove to their grandmother’s house from least to greatest.
✔ Mary, Theo, Nancy
The radius of the base of a cone is 6 inches the height of the cone is 6 inches. Which is closest to the volume of the cone
Answer:
V = 226.19
Step-by-step explanation:
v=(Pi)(r^2)(h/3) = 3.14(6^2)(6/3) = 3.1415(36)(2) = 226.19
The closest to the volume of the cone is given by 226.19.
We have given that,
The radius of the base of a cone is 6 inches the height of the cone is 6 inches.
What is the formula of the volume cone?V=(Pi)(r^2)(h/3)
V= 3.14(6^2)(6/3)
V= 3.1415(36)(2)
V= 226.19
Therefore, The closest to the volume of the cone is given by 226.19.
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The Chimera Ant population is 7,500 and grows 3% each year. What will the population be after 3 years.
PLSS HELP ME ASAP!! I WILL GIVE YOU BRAINLYEST!
A tree casts a 9-foot shadow while a 5-foot
pole casts a 2h foot shadow. How tall is the
tree?
the answer tho this is that the tree is 14ft
Answer:
22.5
Step-by-step explanation:
20 ft for an 8 foot shadow but since you need 1 more foot
take half of 5 (2.5) and you get 22.5