Answer:
Step-by-step explanation:
Let the transmitter be located at (0,0)
The equation for its effective coverage area will be a circle centered at (0,0) with a radius of 49.
So....the equation is
[tex]x^2 + y^2 = 49^2[/tex]
[tex]x^2 + y^2 = 2401[/tex]
Let the point 67 miles north of the transmitter be (0, 67)
Let the point 63 miles east of the transmitter be (63, 0)
The line connecting these (the line of travel) will have a slope of
[67 - 0] / [ 0 - 63] = -67/63
The equation of this line will be: y = (-67/63)x + 67
The signal will be received between the points:
(21.681, 43.942) and (45.192, 18.938)
The distance between these points is
[tex]\sqrt{[ ( 45.192 - 21.681)^2 + ( 43.942 - 18.938)^2 ] } = 34.322 miles[/tex] (1)
The distance between (0, 63) and (67, 0)
[tex]\sqrt{[ ( 63)^2 + ( 67)^2 ] }=91.97miles[/tex] (2)
So....you will receive the signal using (1)/ (2)
(34.322 / 91.97) x 100 ≈ 37% of the drive
The volume of a cube is 216 ft^3. What is the length of a side?
Answer:
54
Step-by-step explanation:
cause a cub has 4 sides so each side is 54
Answer:
The length of a side is 6.
Step-by-step explanation:
Since, the volume of a cube is equal to l*w*h.
V=l*w*h
Volume is equal to side cubed.
V=s^3
Cube 216 to get 6.
216=s^3
3^√216=s
Answer: 6
help me, please...............
Answer:
337.50
Step-by-step explanation:
write 1,593 in standard form
Answer:
one thousand five hundred and niethree .
Step-by-step explanation:
You just use words instead of numbers.
What is the equation?
Answer:
y - 4 = (1/3)(x - 9) or x - 3y = -3
Step-by-step explanation:
Here we're told that the slope is 1/3 and that (9, 4) is a point on the line. Use the point-slope formula y - k = m(x - h). Substitute 4 for k, 9 for h and 1/3 for m:
y - 4 = (1/3)(x - 9) (point-slope formula)
3y - 12 = x - 9 (standard form of the same equation) = >
-12 + 9 = x - 3y, or x - 3y = -3 (standard form)
Erica was given $300 for her birthday and decided to put it in a savings account that earns 3.75% interest. If she makes no other deposits or withdrawals, find her account balance after 10 years
Answer:
80,000
Step-by-step explanation:
$300÷3.75%=8,000×10=80,000
Find the value of x... Please look at the attachment below
Sheldon also picks tomatoes from his garden he picked 5 3/10 kg but 1.5kg were rotten and had to be thrown away how many were not rotten
Answer:
Step-by-step explanation:
2x2-4? that is my question
Jenny measured 1/7 cup of flour and 1/3 cup of flour. How many total cups of flour did Jenny measure?
Answer:
I think it 25/36.
Step-by-step explanation:
The total amount of flour is 4/9 + 1/4. The common denominator of 9 and 4 is 36.
So 4/9 + 1/4 = 16/36 + 9/36 = 25/36
Jenny measured a total of 10/21 cups of flour.
Given that,
Jenny measured 1/7 cup of flour and 1/3 cup of flour. How many total cups of flour did Jenny measure is to be determined.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Fraction is defined as the number of compositions that constitute the Whole. The fraction can be represented in the form of a / b.
Here,
Let, the total measure of the cups of flour be x,
x = 1/7 + 1/3
Taking lcm of the denominator 7, 3 which is 21,
now multiplying the numerators by 3 and 7,
x = (3*1 + 1*7)/21
x = 10 / 21
Thus, Jenny measured a total of 10/21 cups of flour.
Learn more about Ratio here:
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I’ll give brainliest please help
answer is 11 boy now enjoyyyyyyyyy
Write an equivalent expression for x + x + x
Answer:
x+2x is an equalent expression
Answer:
An equavalent expression is 3x+0
A student group claims that first-year students at a university must study 2.5 hours (150 minutes) per night during the school week. A skeptic suspects that they study less than that on the average. A class survey finds that the average study time claimed by 272 students is xbar= 141 minutes, with a sample standard deviation of 66.
Regard these students as a random sample of all first-year students and suppose we know that the study times follow a Normal distribution.
What is the standard error of the sample mean?
Consider the hypotheses H0: µ = 150 against Ha: µ < 150.
What is the value of the test statistic? Give your answer to two decimal places.
The p-value for the correct test statistic is 0.0126. What do you conclude at the a = 0.05 level?
We do not have enough evidence to say that students are not studying 2.5 hours per night during the school week.
We have strong evidence that, on average, students study less than 2.5 hours per night during the school week.
Answer:
We have strong evidence that on average, students study less than 150 minutes per night during the school week
Step-by-step explanation:
Normal distribution:
mean μ₀ = 150
Sample:
Sample size n = 272
Sample mean x = 141
Sample standard deviation s = 66
The standard error of the sample mean SE = σ /√n
SE = 66/√272
SE = 66 / 16,49
SE = 4
Test Hypothesis:
Null hypothesis H₀ x = μ₀
Alternative hypothesis Hₐ x < μ₀
z(s) test statistics is:
z(s) = ( x - μ₀ ) / s/√n
z(s) = - 9 /4
z(s) = - 2,25
p-value for that z(s) p-value = 0,0122
Then for α = 0,05 p-value < 0,05
We are in the rejection region we need to reject H₀
Simplify and write the trigonometric expression in terms of sine and cosine: sec t − cos t sec t = ( f ( t ) ) 2 sect-costsect=(f(t))2
Answer:
[tex]f(t) = 1 - cos^2\ t[/tex] and [tex]f(t) = sin^2\ t[/tex]
Step-by-step explanation:
Given
[tex]\frac{sec\ t - cos\ t}{sec\ t} = f(t)[/tex]
Required
Simplify
[tex]f(t) = \frac{sec\ t - cos\ t}{sec\ t}[/tex]
Split fraction
[tex]f(t) = \frac{sec\ t }{sec\ t} - \frac{cos\ t}{sec\ t}[/tex]
[tex]f(t) = 1 - \frac{cos\ t}{sec\ t}[/tex]
[tex]sec\ t = \frac{1}{cos\ t}[/tex]
So, we have:
[tex]f(t) = 1 - \frac{cos\ t}{\frac{1}{cos\ t}}[/tex]
[tex]f(t) = 1 - cos\ t * cos\ t[/tex]
[tex]f(t) = 1 - cos^2\ t[/tex]
In trigonometry:
[tex]1 - cos^2\ t = sin^2\ t[/tex]
So, we have:
[tex]f(t) = sin^2\ t[/tex]
1. Millie has some jelly beans (x) in a bag. She takes out 12 licorice- flavored jelly beans. Suppose 34 jelly beans remain in the bag. Which statements are correct for this situation? 20 points
Answer:
Chile it was c and d
Step-by-step explanation:
-5x+3y=15 and 2x-3y= -15
Answer:
x = 0; y = 5
Step-by-step explanation:
-5x + 3y = 15
2x - 3y = -15
Add the equations to eliminate y.
3x = 0
x = 0
Now plug in 0 for x in the first equation to solve for y.
-5(0) + 3y = 15
3y = 15
y = 5
Answer: x = 0; y = 5
Sue's bakery sold 850 donuts last week. This week, the number of donuts sold increased 12%. HOW MANY MORE donuts were sold this week as compared to last week
Answer:
102 donuts
Step-by-step explanation:
12% of 850 is 102, so since 12% more donuts are sold this week, we sold 102 more donuts this week compared to last week.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
13 inches eaquals iwhat n fraction
Answer:
13" = 13/1" = 13"
Step-by-step explanation:
The cookie recipe called for oatmeal and raisins in the ratio of 3 to 1. If 4 cups of oatmeal were called for, how many cups of raisins were needed?
Answer:
1.33 or about 2
Step-by-step explanation:
Answer:
12 cups of raisins
Step-by-step explanation:
If our ratio is 3 to 1 or for every one cup of oatmeal we have 3 cups of raisins, we want our new ratio to be equal to that ratio!
Our new ratio is ? to 4, we know that for every one cup of oatmeal we have 3 cups of raisins then...
We have to multiple 3×4 to find our ?
3×4 = 12
So, we know that for every 4 cups of oatmeal we will have 3 cups of raisins!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Need help fast! Solve for y and a if possible please
Identify the slope.Nadia's pool already has 1000 gallons of water when she begins to fill it. It fills at a rate of 22 gallons per minute.PLZZ HELP
Equation A: y = 6x - 1
Equation B: y = 8x - 3
What is the solution (
,
) to the given set of equations?
Answer:
comparing both the equation,
3X-3=6x-1
or, -2 =3X
or, X= -2/3
Y=6X-1
or, Y= 6× -2/3 -1
or, Y= -4-1
or, Y= -5
hence the required solution is (-2/3, -5)
what is the slope of this graph thank you
Answer:
-1/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
-1/3
Find the missing angle!
∠PRQ = ∠STR
∠STR + 60° + 58° = 180°
∠STR = 62°
∠PRQ = 62°
12 divided by 8587 step by step.
Answer:
0.00139746127868
Step-by-step explanation:
just use a coculator
Help Now!!Will give brainly!!!
Answer:
a. 202.5 m³
Step-by-step explanation:
Volume = a² × h/3
Where a is the side length and h is the height
mega has 3 weter botels and wants to give each of her friends 4 how many will she need
Answer:
12
Step-by-step explanation:
3 times 4 is 12
What is the correct distance between A(-8,-4) and point B(3,-4)?
Answer: 5.099
Step-by-step explanation:
Hope this helps
Simplify The expression
-5/8 (-3/8 - 1/4)
Answer:
25/64
Step-by-step explanation:
do what's inside parentheses first
-3/8 - 2/8 = -5/8
-5/8(-5/8) = 25/64
Pls help I’ll brainlest ASAP ASAP
Answer:
3
Step-by-step explanation:
9 times 3 is 27. 27 plus 8 is 35
Answer:
d=3
Step-by-step explanation:
A wooden roller coaster contains a run in the shape of a sinusoidal curve, with a series of hills. The crest of each hill is 108 feet above the ground. If it takes a car 1.9 seconds to go from the top of a hill to the bottom (4 feet off the ground), find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.
Answer:
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
Step-by-step explanation:
We are given that
Height of crest, h=108 feet
Time for one cycle, T=1.9 s
We have to find a sinusoidal function of the form y = A sin(ωt - Φ) + B that models the motion of the coaster train during this run starting at the top of a hill.
We are given
[tex]y=Asin(\omega t-\phi)+B[/tex]
Amplitude,[tex]A=\frac{108-4}{2}=52 feet[/tex]
[tex]B=A+4=52+4=56 feet[/tex]
[tex]\omega=\frac{2\pi}{T}[/tex]
Using the formula
[tex]\omega=\frac{2\pi}{1.9}=3.3/s[/tex]
We assume,
Horizontal shift [tex]\phi=-\frac{\pi}{2}[/tex]
Substitute the values
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
Hence, the sinusoidal function that models the motion of the coaster train during this run starting at the top of a hill is given by
[tex]y(t)=52sin(3.3t+\pi/2)+56[/tex]
