Answer:
3units/ 5 feet = 60 units/ 100 feet3 units/ 5 feet = 18 units/ 30 feetthe dimensions of the scale drawing are 60 units by 18 units.
Step-by-step explanation:
hope this helps :))
Equation of the sinusoidal function
f(x) = 2sin(6x) - 7
What is sinusoidal function?A sinusoidal function is one with a smooth, repetitive oscillation. "Sinusoidal" comes from "sine", because the sine function is a smooth, repetitive oscillation.
Examples of everyday things which can be represented by sinusoidal functions are a swinging pendulum, a bouncing spring, or a vibrating guitar string.
Given,
Graph of a sinusoidal function intersects its midline at (0, -7) and then has a minimum point at (π/4, -9)
Let function be
f(x)=asin(bx)+c ---------(1)
When x = 0
f(0)=-7,
⇒ -7=asin(0)+c
⇒ c=-7.
When x = π/4
f(π/4)=-9,
⇒ -9=asin(bx)-7;
Sine is constrained to [-1,1], and since (π/4,-9) is a minimum,
sin(bx) must be equal to -1.
⇒ -9=a·(-1) - 7
⇒ a = 2
For minimum
-1=sin(π/4.b),
⇒ πb/4=3π/2,
⇒ b=6
Putting value of a, b, c in equation (1)
f(x) = 2sin(6x) - 7
Hence, f(x) = 2sin(6x) - 7 is the equation for sinusoidal function.
Learn more about sinusoidal function here:
https://brainly.com/question/12060967
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Susan found a bag of 20 golf balls at a garage sale, and bought the bag for $2.00. Express the ratio of cost to number of balls in lowest terms. Use the colon to write the ratio.
Answer:
10 cents : 1 ball
Step-by-step explanation:
$2.00 : 20 balls = $1.00 : 10 balls = 100 cents : 10 balls = 10 cents : 1 ball
105. A circular sector has an 8.26-inch radius and a 12.84-inch arc length. There is another sector that has the same area and the same perimeter. What are its measurements
Answer:
Area of another sector=[tex]53.0292 in^2[/tex]
Perimeter of another sector=29.36 in
Step-by-step explanation:
We are given that
Radius, r=8.26 in
Arc length , l=12.84 in
Area of circular sector=[tex]\frac{arc\;length} {Circumference\;of\;circle}\times \pi r^2[/tex]
Area of circular sector=[tex]\frac{l}{2\pi r}\times \pi r^2=\frac{l}{2}\times r[/tex]
Where Circumference of circle=[tex]2\pi r[/tex]
Substitute the values
Area of circular sector=[tex]\frac{12.84}{2}\times (8.26}[/tex]
Area of circular sector=[tex]53.0292 in^2[/tex]
Area of another sector=[tex]53.0292 in^2[/tex]
Perimeter of circular sector=8.26+8.26+12.84
Perimeter of circular sector=29.36 in
Perimeter of another sector=29.36 in
As the radius of a sector decreases, the arc length increases to have an
equal area with a sector with a radius that is longer.
The measurements of another sector with the same perimeter and area are;
The radius of an alternative sector is 6.42 inchesThe arc length of an alternative sector is 16.52 inchesReasons:
Radius of the sector, r = 8.26 inches
Arc length of the sector = 12.84 inches
Perimeter of sector = 2·r + Arc length
Perimeter of the given sector = 2 × 8.26 inch + 12.84 inch = 29.36 inch
Circumference of the circle = 2 × 8.26 × π = 16.52·π
Area of the given circle, A = π × 8.26² = 68.2276·π
[tex]\displaystyle Area \ of \ sector = \frac{12.84}{16.52 \cdot \pi} \times 68.2276 \cdot \pi = 53.0292[/tex]Area of the sector, A = 53.0292 inch²
Therefore, we have;
2·R + A = 29.36 inches
[tex]\displaystyle \mathbf{\frac{A}{2\cdot \pi \cdot R} \times \pi \cdot R^2} = 53.0292[/tex]
A·R = 53.0292 × 2
[tex]\displaystyle New \ arc \ length, \ A = \mathbf{\frac{53.0292 \times 2}{R}}[/tex]
Which gives;
[tex]\displaystyle 2 \cdot R + \frac{53.0292 \times 2}{R} = 29.36[/tex]
[tex]\displaystyle R + \frac{53.0292 }{R} = 14.68[/tex]
R² + 53.0292 = 14.68·R
R² - 14.68·R + 53.0292 = 0
Factorizing with a graphing calculator, gives;
(R - 6.42)·(R - 8.26) = 0
R = 6.42 or R = 8.26
The measurement of R = 8.26 is for the first sector
Given that the sectors are different, we have;
The radius of the other sector, R = 6.42 inchesThe arc length, A = 29.36 - 2·R
∴ A = 29.36 - 2 × 6.42 = 16.52
The arc length of the other sector, A = 16.52 inchesLearn more about the sector of a circle here:
https://brainly.com/question/2501134
9. Find the slope represented in the table
below. Show all work.
X
y
7
-30
11
-54
13
-66
20
- 108
Answer:still tryna figure this out
Step-by-step explanation:
A customer selects three different toppings for a pizza. If there are 10 different toppings from which to choose, how many different pizzas can be made?
Answer:
30 different combinations
Step-by-step explanation:
10 x 3 = 30
Solve for the value of k.
(8k+1)°
49°
solve for x PLEASE ANYONE
71+x+74+39=180
Answer:
x = -4
Step-by-step explanation:
Step 1: Write equation
71 + x + 74 + 39 = 180
Step 2: Solve for x
Combine like terms: x + 184 = 180Subtract 184 on both sides: x = -4Step 3: Check
Plug in x to verify it's a solution.
Substitute: -4 + 184 = 180Evaluate: 180 = 180PLEASE HELP QUICK WILL GIVE BRAINLIEST
Answer:
+ and -
Step-by-step explanation:
+ positive
- negative
what is the sum of .1458862555.05x74446.555623=
Answer: the correct answer is 10,860.72923508417
Answer:
uhm there is no sum to that. Its called the product. Also .1458862555.05 isn't a number
Step-by-step explanation:
A parabola whose equation is y = (x - 5) 2 - 2 has a vertex at _____.
Answer:
The vertex would be at (5,-2).
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3 ?
O y+2=} (x+3)
O y-2 = }(x-3)
y + 3 = {(x + 2)
O y-3= {(x-2)
Answer:
use the point slope formula y-y1 =M(x -x1) the M = slope and P1 = (x1, y1) = the given point (3,2)
Step-by-step explanation:
y-2=(1/3)*(x-3)
The ratio of people who have dogs to people who have cats is 4 to 2. If there are 40 people, how many have cats?
Answer:
13 people
Step-by-step explanation:
let ratio be 4x and 2x
4x+2x=40
6x=40
x=40/6
x=6.66
so,
2x=2×6.66
=13.33
approx 13
again
4x=4×6.66
=26.64
approx 27.
Enter the ordered pair for the point.
Answer:
4,-4
Step-by-step explanation:
cuz
Please answer this :)
what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald’s, at least 40 can taste the difference between the two oils? (2.5 pts.)
Complete Question
In response to concerns about nutritional contents of fast foods, McDonald's has announced that it will use a new cooking oil for its French fries that will decrease substantially trans fatty acid levels and increase the amount of more beneficial polyunsaturated fat. The company claims that only 3 out of 100 people can detect a difference in taste between the new and old oils. Assuming that this figure is correct (as a long-run proportion), what is the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40 can taste the difference between the two oils? (2.5 pts.)
Answer:
The probability is [tex]P(\^ p \ge 0.04 ) = 0.03216[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = \frac{3}{100} = 0.03[/tex]
The sample size is n = 1000
Generally the mean of this sampling distribution is [tex]\mu_{x} = 0.03[/tex]
Generally the standard deviation of this sapling distribution is mathematically evaluated as
[tex]\sigma = \sqrt{\frac{p (1 - p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.03 (1 - 0.03)}{1000} }[/tex]
=> [tex]\sigma = 0.0054[/tex]
Generally the sample proportion when the number of those that can taste the difference is 40 is mathematically represented as
[tex]\^ p = \frac{40}{1000} = 0.04[/tex]
Generally the approximate probability that in a random sample of 1000 individuals who have purchased fries at McDonald's, at least 40( [tex]\^ p = 0.04[/tex]) can taste the difference between the two oils is mathematically represented as
[tex]P(\^ p \ge 0.04 ) = 1 - P(\^ p < 0.04 )[/tex]
Here
[tex]P(\^ p < 0.04 ) = P(\frac{ \^ p - \mu_{x}}{\sigma } < \frac{0.04 - 0.03}{0.0054} )[/tex]
[tex]\frac{\^ p -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \^ p )[/tex]
=> [tex]P(\^ p < 0.04 ) = P(Z < 1.85 )[/tex]
From the z table the probability of (Z < 1.85 ) is
[tex]P(Z < 1.85 ) = 0.96784[/tex]
So
[tex]P(\^ p < 0.04 ) = 0.96784[/tex]
So
[tex]P(\^ p \ge 0.04 ) = 1 - 0.96784[/tex]
=> [tex]P(\^ p \ge 0.04 ) = 0.03216[/tex]
do 7 and 8! will give brainliest
Answer:
7. <4 and <6
8. <1 and <7
Step-by-step explanation:
hope this helps :)
Answer:
7. ∠6 ≅ ∠4
8. ∠7 ≅ ∠1
Step-by-step explanation:
In the figure at the top, the alternate exterior angles are the angles that are on opposite sides of the transversal and are on the outside of the parallel lines. Those pairs of angles are congruent because of the alternate exterior angle theorem since the two lines are parallel.
A city currently has 137 streetlights. As part of a urban renewal program, the city council has decided to install 2 additional streetlights at the end of each week for the next 52 weeks.How many streetlights will the city have at the end of 32 weeks?
Answer:
The city will have 201 streetlights at the end of 32 weeks
Step-by-step explanation:
Here, we want to know the number of streetlights that the city will have at the end of 32 weeks
From the question, it is expected that 2 additional streetlights will be installed at the end of each week
So the number installed at the end of 32 weeks will be 32 * 2 = 64
So the number of streetlights at the end of 32 weeks will be;
64 + 137 = 201 streetlights
The effects of caffeine on the body have been extensively studied. In one experiment1, researchers examined whether caffeine increases the rate at which people are able to tap their fingers. Twenty students were randomly divided into two groups of
Question attached
Answer and explanation:
Here we would use the two sample t test. In finding the hypotheses for a two sample t test we test the sample mean of one group against the other group to determine if there is a statistical difference or they are equal. We have this to compare the mean finger tapping rate of the two groups being tested in the question. Our null and alternative hypotheses here are:
H0: u1 = u2 null hypothesis
H1: u1 > u2 alternative hypothesis
Where u1 and u2 are the sample means for each group in the caffeine experiment
plz hurry for brainlyest also show your work and this is rates and ratios
Answer:
125 because if you divide 150 by 30 to find how much it was multiplied by its 5, so then if you multiphy 25 by 5 you get 125 to be the same as the seconds
Step-by-step explanation:
Brayden is 2 yards tall. His sister is 61 inches tall. How much taller is Brayden than his sister
Answer:
11 inches
Step-by-step explanation:
2 yards = 72 in
72 in - 61 = 11 in
A dolphin travels through the water a speed of 25 kilometers per hour which representation shows the distance a dolphin can travel at this rate
Answer:
50km 2hours
100km 4hours
150km 6hours
200km 8hours
Question: Round to one decimal place.
1.58336707117
which are the correct measures of interior angles of CDE
Answer:
the second one
Step-by-step explanation:
3,510 × 10 to the zero power
Answer:
3
Step-by-step explanation:
What are three ratio is equivalent to 11 to 1
Answer:
22 to 2, 33 to 3, 44 to 4
Step-by-step explanation:
I need some assistance please and thank you
Answer:
y=-4x-3
Step-by-step explanation:
passes through-2,5
slope -4
help quickly pls its due soon
Find the reciprocal:
5
6
StartFraction 1 Over 6 EndFraction
StartFraction 1 Over 5 EndFraction
StartFraction 5 Over 6 EndFraction
StartFraction 6 Over 5 EndFraction
Answer:
The answer is 6/5 ^.^
Step-by-step explanation:
I got it right =^.^=
Hope this helps you =^.^=
Please help with this question I’m confused
Answer:
D) X=4
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
[tex]13x - 5x = 8x[/tex]
[tex]8x = 32[/tex]
[tex]x = 32 \div 8[/tex]
[tex]x = 4[/tex]
Please help me find this angle!!!! I will make you brain list
Answer:
i cant hjelp sorry but can u heart
Step-by-step explanation:
so i can get points
what is 4021 divided by 68
Answer:
4021/68 = 59.13
Step-by-step explanation:
Hope this helps you out!!!
Answer: 59.1323529412
Step-by-step explanation: