Answer:
Average speed, S = 45 mph
Step-by-step explanation:
Given the following data;
Take-off time = 10 AM
Arrival time = 4 PM
Distance = 270 miles
To find the average speed of the bus;
First of all, we would determine the total time.
10 AM to 4 PM = 6 hours
Total time = 6 hours
Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.
Mathematically, speed is given by the formula;
[tex]Speed = \frac{distance}{time}[/tex]
Substituting into the formula, we have;
[tex]Speed = \frac{270}{6}[/tex]
Average speed, S = 45 mph
Therefore, the average speed of the bus is 45 miles per hour.
What number had an experimental probability that matched its theoretical probability
Answer:
here
https://decabonner.weebly.com/uploads/1/6/4/8/1648294/day_1_-_practice_wksht_-_basic_probability_key.pdf
URGENT!!! I need help with these 3-word problems for my trigonometry homework. Please explain how you got the answer and any work.
9514 1404 393
Answer:
7.91 m61.58 cm²angular velocity: 17/16π ≈ 3.34 radians/second; linear speed: 425/16π ≈ 83.45 cm/sStep-by-step explanation:
The applicable relation in each case is ...
s = rθ
where s is arc length, r is radius, and θ is rotation angle in radians. Of course the relation between degrees and radians is that π radians = 180°.
__
1. s = (1.5 m)(302.2/180π) ≈ 7.91 m
About 7.91 meters of wire will be wound on the drum.
__
2. The area of a sector is found by a formula that is similar to that for the area of a triangle. For a triangle, the area is A=1/2bh, where b is the base length and h is the height of the triangle. For a sector, the area is A=1/2sr, where s is the arc length and r is the radius. Usually, this is put in the form ...
A = 1/2sr = 1/2(rθ)r
A = 1/2r²θ
The angle through which the pendulum sweeps is ...
(9°/s)(4 s) = 36° = (36°/180°)π radians = π/5 radians
Then the swept area is ...
A = 1/2(14 cm)²(π/5) = 19.6π cm² ≈ 61.58 cm²
Each complete right to left swing sweeps an area of about 61.58 cm².
__
3. Each rotation is 2π radians of angle, so the angular speed is ...
angle/time = (2π radians/revolution)(17 revolutions)/(32 s) = 17/16π radians/s
≈ 3.34 radians/s
The distance covered per unit time is found using the arc length formula above.
(arc length)/time = (rθ)/time = (25 cm)(17/16π rad/s)
= (426/16)π cm/s ≈ 83.45 cm/s . . . . . pulley rim speed
which qaudratic equation is equivalent to (x+2)^2+5(x+2)-6=0 a. (u+2)^2+5(u+2)-6=0 where u=(x-2) b. u^2+4+5u-6=0 where u= (x-2) c. u^2+5u-6=0 where u=(x+2) d. u^2+u-6=0 where u=(x+2)
Answer:
D
Step-by-step explanation:
Given
(x + 2)² + 5(x + 2) - 6 = 0
Using the substitution u = x + 2 , then the equation can be expressed as
u² + 5u - 6 = 0 → D
The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
On a coordinate plane, a parabola opens down. It goes through (negative 6, 0), has a vertex at (negative 4, 4), and goes through (negative 2, 0).
Which statement about the function is true?
The function is increasing for all real values of x where
x < –4.
The function is increasing for all real values of x where
–6 < x < –2.
The function is decreasing for all real values of x where
x < –6 and where x > –2.
The function is decreasing for all real values of x where
x < –4.
Answer:
The function is increasing for all real values of x where
–6 < x < –2.
What’s the answer to this question?
Answer:
its x^4
Step-by-step explanation:
its x^4
Ashley can ride her bicycle 15 miles in 2 hours. There are 60 minutes in 1 hour, and there are 1,760 yards in 1 mile. How many yards does Ashley travel in a minute ??
Answer:
220 yards in one minute
Step-by-step explanation:
15 miles in 120 minutes equals 26,400 (15 · 1760) yards in 120 minutes
26,400 yards in 120 minutes equals 220 yards in 1 minute (after dividing both 26400 and 120 by 120)
Answer:
220
Step-by-step explanation:
The first guy explained it, look above. I was about to say something similair
Graph the image of kite JKLM after a translation 3 units up.
cos 0 = 12/15. find sin 0.
Answer:
[tex]sin \theta = \frac{3}{5}[/tex]
Step-by-step explanation:
[tex]cos \theta = \frac{12}{15}\\\\cos^2 \theta = 1 - sin^2 \theta\\\\sin^2\theta = 1 - cos^2 \theta\\\\[/tex]
[tex]= 1 - (\frac{12}{15})^2\\\\= 1 - \frac{144}{225}\\\\= \frac{225 - 144}{225}\\\\=\frac{81}{225}[/tex]
[tex]sin \theta = \sqrt{\frac{81}{225}} = \frac{9}{15} = \frac{3}{5}[/tex]
Answer:9/15
Step-by-step explanation:
Please help me with this
Answer:
Step-by-step explanation:
(-3,-2)
what is the best approximation for relative maximum of the polynomial function graphed below?
A. (0.6, -2.8)
Hope this helps! :)
3x+5y=14 and 6x-4y=9
Answer:
Step-by-step explanation:
Bấm máy tính hệ phương trình là ra
can anyone help me with the question please
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
7 a)
Step 1 :
Make the denominators the same
[tex]-\frac{1}{7} \ and \ \frac{2}{9}[/tex]
[tex]-\frac{1}{7} \times \frac{9}{9} = -\frac{9}{63}\\\\\frac{2}{9} \times \frac{7}{7} = \frac{14}{63}\\[/tex]
Step 2 :
Now find rational between (-9/63) and (14/63).
Just change the number in the numerator. Write any numbers between -9 and 14 in the numerator.
[tex]\frac{ -8}{63}, \ \frac{-7}{63},\ \frac{3}{63},\ \frac{6}{63},\ \frac{8}{63}[/tex]
7 b )
[tex]x = 3 + 2\sqrt2\\\\x + \frac{1}{x} = (3 + 2\sqrt2) + \frac{1}{3+2\sqrt2}[/tex]
[tex][ Rationalize \ the \ denominator : \frac{1}{3 + \sqrt2} \times \frac{3 - 2\sqrt2}{3-2\sqrt 2} = \frac{3 - 2 \sqrt2}{3^2 - (2 \sqrt2)^2 } = \frac{3 - 2\sqrt2}{9 - 8} = 3 - 2\sqrt 2 \ ][/tex]
[tex]therefore , x + \frac{1}{x} = 3 + 2\sqrt 2 + 3 - 2 \sqrt 2 = 6 + 0 = 6[/tex]
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes.
A 2-column table with 2 rows. Column 1 is labeled Brand A with entries 8 ounces, 2 dollars and 99 cents. Column 2 is labeled brand B with entries 16 ounces, 4 dollars and 99 cents.
Find the unit rate for each brand. Round to the nearest cent (hundredth). Brand A costs per ounce. Brand B costs per ounce.
PLS HELP
Answer:
$0.37 and $0.31
Step-by-step explanation:
Answer:
Step-by-step explanation:
the area of a circle whose radius is 2.1m³is 13.85m²
TRUE OF FALSE
Answer:
true
Step-by-step explanation:
Simplify the following completely, show all work. √-45
Answer:
[tex]3\sqrt{5}i[/tex]
Step-by-step explanation:
[tex]\sqrt{-45}[/tex]
[tex]\sqrt{-9*5}[/tex]
[tex]\sqrt{-9}\sqrt{5}[/tex]
[tex]3i\sqrt{5}[/tex]
[tex]3\sqrt{5}i[/tex]
Plz help me solve this
What is the y-intercept of the function f(x)=2•3x
Answer:
0
Step-by-step explanation:
f(x)=2•3x
f(x)=6x+0
If a litre of juice costs 85, what would be the cost of 4 litres of juice?
Answer:
340
Step-by-step explanation:
To find the cost of 4 liters of juices, take the cost of 1 liter and multiply by 4
4 *85 = 340
Answer: It's $340
Step-by-step explanation:
4 liters of juice - 3 liters = 1 liter
Multiply 1 liter by 4 = 340 (4 x 85)
Answer: $340
I need help i keep getting this wrong
Answer:
it is quite difficult
Step-by-step explanation:
hope you understand
Answer:
As shown in the figure.
Step-by-step explanation:
At the bottom is the answer.
Jennifer paid $3.75 for 3 doughnuts. What is the unit price for the doughnuts?
Answer:
Cost of one doughnut = $1.25
Step-by-step explanation:
Doughnut Cost
3 3.75
1 x
[tex]\frac{3}{1} = \frac{3.75}{x}\\\\3 \times x = 3.75 \times 1\\\\x = \frac{3.75}{3} = \$ 1.25[/tex]
Answer:
$1.25
Step-by-step explanation:
We need to find the cost of one doughnut.
the total price is $3.75
3.75/3 = 1.25
each doughnut costs $1.25
The perimeter of a rectangular field is 316 yards. If the length of the field is 84 yards, what is its width?
yards
$
? 2
a
Answer:
74
Step-by-step explanation:
84+84=168
316-168=148
148/2=74
A bar of lead is in the shape of a rectangular prism 2 cm by 3 cm
by 4 cm. The density of lead is 11.34 grams per cubic centimeter.
Find the mass of the bar of lead. *
272.16 grams
227.61 grams
262.17 grams
Answer:
Step-by-step explanation:
V = L * W * H
L = 4
W = 3
H = 2
V = 4 * 3 * 2
V = 24
Density = mass / Volume
density = 11.34
volume = 24
mass = ?
11.34 = mass / 24 Multiply both sides by 24
11.34 * 24 = 24 * mass /24
mass = 272.16 grams
Im needing help with this math question
Answer:
4 weeks = 105
16 weeks = 42
24 weeks = 0
Step-by-step explanation:
the function is missing the 'w'
it should be : C(w) = 126 - 5.25w
'w' is the number of weeks
Substitute number of weeks in the 'w' spot
first one is 4 weeks, so
C(w) = 126 - 5.25(4)
= 126 - 21
= 105
Match each equation with the correct type of probability?
Answers:
P(A or B) not mutually exclusiveP(A and B) not independent (aka dependent)P(A and B) independentP(A or B) mutually exclusiveP(A | B)=============================================
Explanation:
The formula we use for "or" cases is
P(A or B) = P(A) + P(B) - P(A and B)
If events A and B are mutually exclusive, then we ignore the P(A and B) part since that is 0. Mutually exclusive events cannot occur simultaneously, which is why we have that 0.
-----------
For "and" cases, we have two basic flavors
P(A and B) = P(A)*P(B | A)
P(A and B) = P(B)*P(A | B)
We go with the first case for problem 2. These formulas apply if A and B are not independent.
If they are independent, then
P(A and B) = P(A)*P(B)
-----------
Start with the equation P(A and B) = P(B)*P(A | B) and divide both sides by P(B).
You'll end up with
P(A | B) = P(A and B)/P(B)
which is a conditional probability.
2. Anne needs to know how much of her back yard will be used by her new
circular pool. *
1 point
11 feet
What is the area of the pool? Use 3.14 for T.
Answer:
see below
Step-by-step explanation: 6 13 8 09
area = π r² is the equation to calculate the area of the pool r = radius
I don't no if the 1.11 ft is the diameter of the radius, so I will use the 1.11 ft as the diameter
diameter = 2×radius
diameter / 2 = radius
area = π (d/2)² = T (d/2)² d = diameter π = T
= 3.14(1.11 / 2)²
= 3.14 × (0.555)²
= 0.9677 ft² which seems like a small pool!
Write seven cubed in all three forms: exponential, expanded and standard form
The exponential form is 7³, expanded form is 7*7*7 and Standard form is 343.
The exponential form seven is cubed, the base is 7 and the exponent is 3, exponential form is 7³, expanded form we have to multiply 3 times the number 7 by itself. That is 7*7*7 and standard form is the result of the calculations. 7*7*7 = 49*7 = 343.
Therefore, seven cubed in all three forms: exponential, expanded and standard form are 7³, 7*7*7 and 343.
Learn more about exponential, expanded and standard form here:
https://brainly.com/question/21080914
#SPJ6
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.
What is the input?
Answer:
$577
Step-by-step explanation:
Let y = amount of money in the account.
Let x = number of months.
The withdrawals are always the same amount and occur every month, so this is a linear relation.
We are given two points of the relation: (5, 442) and (13, 226).
y = mx + b
m = (442 - 226)/(5 - 13) = 216/(-8) = -27
The slope, -27, represents the amount she withdraws each month.
y = -27x + b
442 = -27(5) + b
442 = -135 + b
b = 577
y = -27x + 577
b = y-intercept = initial amount
Answer: The input was $577.
Answer: B, B, and C
Step-by-step explanation: yo mama
i can’t figure it out, it’s the same problem it just printed out twice
Answer: 25.8°
Step-by-step explanation:
We use CAH = Adjacent/Hypotenuse
Cos x = 27/30
Cos x = 25.8°
If the sum of first n terms of an AP is 3n² + 5n find the AP.
Let a (n) denote the n-th term in the progression. Consecutive terms in the sequence differ by a fixed constant - call it c - such that
a (n) = a (n - 1) + c
Let a = a (1) be the first term in the sequence. We can solve for a (n) in terms of a alone:
a (n) = a (n - 1) + c
a (n) = (a (n - 2) + c) + c = a (n - 2) + 2c
a (n) = (a (n - 3) + c) + c = a (n - 3) + 3c
and so on, down to
a (n) = a + (n - 1) c
The sum of the first n terms is then
[tex]\displaystyle\sum_{k=1}^n a(k)=\sum_{k=1}^n(a+(k-1)c)=a\sum_{k=1}^n1+c\sum_{k=1}^n(k-1)=an+\frac{cn(n-1)}2=\frac c2n^2+\left(a-\frac c2\right)n[/tex]
Since this is equal to 3n ^2 + 5n, it follows that
c/2 = 3 => c = 6
a - c/2 = 5 => a = 8
So the sequence is
a (n) = 8 + (n - 1) 6 = 6n + 2
What is negative 7 times i to the 29th power
Answer:
- 7 × i²⁹
Step-by-step explanation:
- 7 × i²⁹
Answer: -7 i
i kinda used g o o ogle but this is what it said, hope th is helps.
