Answer:
amplitude is 1.5
Step-by-step explanation:
If amplitude of f(x) is a, the amplitude of f(cx + d) is also a, for any d and non-zero c.
If amplitude of f(x) is a, the amplitude of cf(x) + d is c*a, for any d and any c.
From that we know that amplitude of y=1.5sin4x is the same as amplitude of y=1.5sinx, and 1.5 times more than amplitude of y=sinx. And we know that amplitude of sinx is 1.
Thus, amplitude of y=1.5sin4x is 1.5
Given f(x)=-3x+5f(x)=−3x+5, find f(-6)f(−6).
Answer:
36
Step-by-step explanation:
When you multiply -6 x -6 you get 36.
Hope this helps:)
Plz 50 points im desperate
A show pony weighs at least 900 pounds. After a recent weigh in, the owner of a show pony amended the diet of his pony, increasing the animal's caloric intake, with the hope that the pony would gain weight to be shown in a few months. The data shown in the table and scatter plot below represents the pony's additional daily caloric intake and recorded weight gain (in pounds) of the show pony over the last ten weeks.
Additional Daily Calories Consumed Weight Gained
(in pounds)
1,500 3
1,575 7
1,650 3
1,725 4
1,800 8
1,875 9
1,950 13
2,025 7
2,100 17
2,175 15
Part A: Use the data shown in the table and scatter plot to create an approximate equation for the line of best fit.
Part B: In complete sentences, describe the show pony's weight gain in terms of the units used in the data.
Part C: According to the equation for the best fit line for the data, approximately how much weight would you expect the pony to gain in a week if its additional daily caloric intake for that week is 2,300 calories?
An approximate equation for the line of best fit is y-hat = 0.018x - 24.5111.
How to explain the equation?A linear regression equation for the line of best fit would be y-hat = 0.018x - 24.5111 where
y-hat is the predicted value for the recorded weight gain (in pounds)
x is the additional daily caloric intake.
b) The pony's additional calorie intake increases, the weight gain also increases in pounds
c) Set x equal to 2300 and solve for y-hat:
y-hat = 0.018x - 24.5111
y-hat = 0.018(2300) - 24.5111
y-hat = 41.4 - 24.5111
y-hat = 16.8889
Therefore, the predicted value for the weight gain based on an additional 2300 calorie intake is 16.9 pounds.
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HELP PLEASEEE How can you break up the figure into familiar shapes to determine the area?
A figure is broken into a triangle and rectangle. The rectangle has a base of 5 feet and height of one-third feet. The triangle has a base of 3 and two-thirds feet and height of 2 feet.
Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by 5 ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by One-third ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by 1One-third ft triangle and a 5 ft by One-third ft rectangle.
Answer:
A) Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.
Step-by-step explanation:
hope it helps...
have a great day!!
Answer:
Your answer would be A: Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.
Step-by-step explanation:
Kaley bought 5 boxes of pencils that contained 14 pencils each. She sharpened 20 of those pencils. How many pencils did Kaley buy? How many pencils are unsharpened?
I need the answer to these parts. The last is correct or incorrect
Answer:
Step-by-step explanation:
40% of the regular price
subtracting it from
10% off each
(not sure of the last one)
A triangle has side lengths of 39, 80, and
87. Is this triangle a right triangle?
Answer:
Step-by-step explanation:
39²=1521
80²=6400
39²+80²=1521+6400=7921
87²=7569
7921≠7569
so it is not aright angled triangle.
Answer:
si
Step-by-ste
hii please help i’ll give brainliest
Answer:
(-5,-3)
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
2 4/8 - 1 3/4 pls help i got 1 min
Answer:
1 1/8
Step-by-step explanation:
Erik took out a loan for $8400 for 6 years at a compound interest rate of 5.5%-
How much interest does Erik owe from the loan?
$11,582.28
$108,084.86
$2,772
$3,182.28
Answer:
$2772
Step-by-step explanation:
Given data
Principal= $8400
Rate= 5.5%
Time= 6 years
The expression for the simple interest on the loan is found using the expression below
SI= PRT/100
substitute
SI= 8400*5.5*6/100
SI= 277200/100
SI= $2772
Hence the simple interest is $2772
Answer:The answer is actually 3,182.28
Step-by-step explanation:
Determine the domain and range:
Answer:
Option B is correct.
Step-by-step explanation:
Recall that the domain is the set of (unique) inputs and the range is the set of outputs (which do not have to be unique).
The set of inputs of the given relation is {-1, 9, -10, 1}, and this set is also found in Option B. The set out outputs is {7, 2, 6, -6|, which is in Option B.
find the circumference of the pizza nearest to to the nearest whole number if the radius is 7 in
Answer:
69
Step-by-step explanation:
420+911÷360 no scope=69
Please Help me with the questions in the picture
Answer:
Dave and Anna:
1. Income highlight:
combined take home pay of $900/week
Total income: 4(900) - because 4 weeks in most months = $3600
-----------------------------
2. Expense highlights:
bi-weekly mortgage of $675
property taxes of $1800
Car expenses $160
Car insurance: $128
House insurance: $35
Saving for kids: $200
-------------
Expense calculations:
Mortgage bi-weekly = 675 x 2 = $1350/month
Property taxes = 1800/12 months/year = 150/month
everything else is already monthly
1350 + 150 + 160 + 128 + 35 + 200 = 2,023
---------------------------------------
income - expenses
$3600 - 2023 = $1,577 surplus
-----------------------------------------------------------------------------
Jacob:
Income highlights:
Canada Pension Plan $848/month
Old Age Security: $484/month
Total income: $1332
--------------------------
Expense highlights:
property tax: $3000/yr = $250/month
burial expenses: $100/month (for 6 more months)
golfing: $500/year = $41.67/month
bowling: $100/year = $8.33/month
Total expenses: 250 + 100 + 41.67 + 8.33 = 400
-----------------------------
Income - expenses:
1332 - 400 = $932 surplus
You are in your backyard with your pets. In one area, you count 108 legs. You count 41
animals. You have a combination of bunnies and chickens. How many of each type of animal do
you have?
Write a system of equations (make sure to define your variables first!), and then solve
this problem. Then, solve in a different way.
Answer:
Bunnies= 13 Chickens=28
Step-by-step explanation:
Let's put
x = bunnies------4 legs
y = chickens-----2 legs
x + y = 41----------------x= 41-y
4x+ 2y = 108
replace in 2nd equation
4(41 - y) + 2y = 108
164 - 4y + 2y = 108
2y = 56
y = 56/2= 28
x = 41 - 28= 13
A house is worth $156,000
in 2015. In 2017, it is
worth $192,000. What is
the rate of change?
Answer:
$18,000
Step-by-step explanation:
Difference in the years is 192000-156000= 36000
To find rate of change, divide the difference by amount of years in difference.
36000/2017-2015
36000/2
Hence, $18000 per year
Hope it helps!
Can someone please solve these and explain how to do it. I'll give the brainliest to the best answer.
Answer:
5) 1/19x^6
6) 14a^3
7) 3/8
8) (3)/4s^3 r^8
Step-by-step explanation:
(-) exponents flip it to the other side of the bar
x^-6 = 1/x^6
With positive exponents, the exponent with the lower power subtracts from the higher power
I need math help fast plzzz
find two rational numbers between 3 and 5
Answer:
4 is a rational number
Step-by-step explanation:
rational numbers are numbers that can be divided by 2 and itself
Answer:4, 3.6
Step-by-step explanation: there are multiple answers to this questions.
A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 558.92 yd. What is the surface area of the sphere?
Answer:
The surface area of the sphere is = [tex]99426.41 yd^2[/tex]
Step-by-step explanation:
The area of a sphere can be calculated using this formula:
[tex]A=4\pi r^2[/tex]
However, we have a little problem: we do not have our radius yet to utilize in the formula above.
We can get our radius from the circumference of the circle which has been given to us.
circumference = [tex]2 \times \pi \times r[/tex]
[tex]r = \frac{circumference}{2 \pi} = \frac{558.92yd}{2\pi} = 88.95yd[/tex]
We now have our radius. we can input it into equation 1 above
The Surface area of sphere = [tex]4 \times \pi \times 88/95^2 = 99426.41yd^2[/tex]
Two fair, six-sided dice are rolled. What is the probability that the resulting total is even or greater than 10?
Answer:
Step-by-step explanation:
Since there are a total of 6 x 6 = 36 outcomes, then the probability that the sum will be greater than 10 is 3/36 = 1/12.
The probability that the resulting total is even or greater than 10 is 7/12.
Given that, two fair, six-sided dice are rolled.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Here, sample space of two dice is
S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6), (2,1),(2,2),(2,3),(2,4),(2,5),(2,6), (3,1),(3,2),(3,3),(3,4),(3,5),(3,6), (4,1),(4,2),(4,3),(4,4),(4,5),(4,6), (5,1),(5,2),(5,3),(5,4),(5,5),(5,6), (6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
Number of favorable outcomes = 18
Total number of outcomes = 36
Probability of getting the total is even = 18/36
= 1/2
Number of favorable outcomes = 3
Probability of getting the total is greater than 10 = 3/36
= 1/12
So, probability is 1/2 + 1/12
= 6/12 + 1/12
= 7/12
Therefore, the probability that the resulting total is even or greater than 10 is 7/12.
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Randy is playing a number game. Beginning with the number 6, he adds 4, multiples by
5, and then divides by -10. He then subtracts 2. What number does he find at the end of
the game?
A. -7
B. -3.6
C. -4.6
D. -5
BRAINLIEST NO LINKS OR YOU WILL BE REPORTED!!!!!
Answer:
180
Step-by-step explanation:
Answer:
117 ft³
Step-by-step explanation:
The tent is composed of a cuboid and a triangular prism
V ( cuboid) = 6 × 8 × 2 = 96 ft³
V(prism) = Ah ( A is the area of triangle and h is length )
= [tex]\frac{1}{2}[/tex] × 6 × (5.5 - 2) × 2
= 3 × 3.5 × 2
= 21 ft³
Total volume = 96 + 21 = 117 ft³
I can’t explain look at picture
Answer:
x = 12.48
y = 13.22
Step-by-step explanation
Im not sure if its correct
10^2 + b^2 = 16^2
100 + b^2 = 256
b^2 = √156
b = 12.48
b= 12 ( If needed to round to the nearest whole number)
a^2 + 15^2 = 20^2
a^2 + 225 = 400
a^2 = √175
a = 13.22
a = 13 ( If needed to round to nearest whole number)
Solve for x:
4x/5=20
For the equation y=-6/5x+3 enter the equation of a perpendicular line
Answer:
y = 5/6x + 3
Step-by-step explanation:
perpendicular line= have negative reciprocal slope
the slope of y = - 6/5x + 3 is - 6/5, and the negative reciprocal slope of - 6/5 is 5/6.
Find the distance between the points.
(5.10),(5,4)
The distance is
Answer: 6??
Step-by-step explanation: Cause they are right next to each other and if u want me to be more specific its 6 units down :)
Answer:
The distance will be √(x2-x1)^2+(y2-y1)^2
=√(5-5)^2+(10-4)^2
=√(0)^2+(6)^2
=√(6)^2
=6 units
Solve for x.
B
37.
11
C
Select the correct product.
(x2 + 4x+8)(2x - 1)
0x2+6 x+7
O 2x2 -782-12 X-8
O2 x° +7 x2 + 12 x -8
0x2+8 -8
Shiva has 1.95 pounds of meat. She uses 0.13 pound of meat to make one hamburger. How many hamburgers can Shiva make with the meat she has?
Answer:
Shiva can make 15 hamburgers
Step-by-step explanation:
1.95 /0.13= 15
1 hamburger 0.13
Check
0.13 x 15 = 1.95
Answer:
[tex] \bf \huge \: 15[/tex]
Step-by-step explanation:
Given that :Shiva has 1.95 pounds of meat.She uses 0.13 pound of meat to make one hamburger.to find :How many hamburgers can Shiva make with the meat she has ?explanation :⟼ total meat = 1•95 pounds
⟼ use meat to make a hamburger = 0•13 pounds
⟼ how many hamburgers shiva make with the total meat = total meat / use meat to make a hamburger
⟼ how many hamburgers shiva make with the total meat = 1•95 / 0•13
⟼ how many hamburgers shiva make with the total meat = 15 hamburgers .
∴ shiva make 15 hamburgers with 1•95 pounds meat.
verification :let take shiva make 15 hamburgers with 1•95 pounds meat.
⟼ 0•13 × 15 = 1•95
⟼ 1•95 = 1•95
hence verified ☑️The lengths, in minutes, of the movies currently showing at a movie theater are shown in the data set. Create a histogram that represents the data. Drag the top of each bar to the correct height.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the required lengths are not given.
I will use the following data set to answer the question.
[tex]Dataset: 35, 51, 39, 42, 68, 62, 32, 59[/tex]
First, is to determine the range of the dataset
[tex]Range = Highest - Least[/tex]
[tex]Range = 68 - 32[/tex]
[tex]Range = 36[/tex]
Next, we will make use of 4 classes. So, we divide range by 10 to get the number of class. 10 represents the interval
[tex]Class= Range/10[/tex]
[tex]Class = 36/10[/tex]
[tex]Class = 3.6[/tex]
[tex]Class \approx 4[/tex]
So, we use 4 classes
Plot the frequency distribution table as follows:
[tex]\begin{array}{ccc}{Intervals} & {Observations} & {Frequency} & {31-40} & {32,35,39} & {3} & {41-50} & {42} & {1} & {51-60} & {51,59} & {2} & {61-70} & {62,68} & {2}\ \end{array}[/tex]
See attachment for histogram
What is the volume of this rectangular prism?
Answer:
2/4 (simplified: 1/2)
Step-by-step explanation:
The formula for volume of rectangular prism is length · width ·
height.
In other words, multiply all of the sides together.
2 · 1 · 1/4 = 2/4.
Therefore, the volume of this rectangular prism is 2/4.