Answer:
The amplitude is [tex]\frac{1}{2} = 0.5[/tex]
Step-by-step explanation:
Trigonometric function:
A trigonometric function has the following format:
[tex]A\sin{bx}[/tex] or [tex]A\cos[bx}[/tex]
In which the amplitude is A and the period is [tex]\frac{2\pi}{b}[/tex]
Amplitude of y = 1/2 * cos 5x
The multiplier is 1/2, so this is the amplitude.
A line l2 is perpendicular to the line x + 2y – 5 = 0 without computing the gradient of this
line find the equation of l2 if it passes through (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept
add 5 to both sides
x+2y=5
subtract x from both sides
2y=-x+5
divide by 2
y=-1/2x+5/2
perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")
to find the slope of I2:
since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))
so here's our equation so far:
y=2x+b
now we need to find b
because line will pass through (3,4), we can use it to solve for b
substitute 4 as y and 3 as x
4=2(3)+b
multiply
4=6+b
-2=b
therefore the equation is y=2x-2
hope this helps!!
find the volume if the figure
Answer:
there aint no figure
Step-by-step explanation:
Answer:
yea there ain't no figure
Step-by-step explanation:
lololololololololol
SOLVE
270.6 is 16 1/2% OF WHAT NUMBER?
WILL GIVE BRAINLIST
X
X
X
X
X
X
X
Answer:
165 po ang answer promise po
Answer:1640
To find the % then we have too times the 16 /12% by something right?
After some guessing their is my answer
Hope this helps :)
If you are reading this hope you have a wonderful day!
Please solve!!!
3x^2 + 6x + 1
$10,000 is invested at 0.75% annual interest for 2 years.
a. Simple Interest b. Compound Interest
Answer:
The simple interest is 10,150.00 The compound interest is $10,150.56
Step-by-step explanation:
Amit Almor, a psychology researcher at the University of South Carolina, conducted a series of experiments on conversation and attention level. He found that subjects were four times more distracted while preparing to speak or speaking than when they were listening. This research has many implications, including those for the issue of using cell phones while driving.
You decide to explore this issue by having three different groups try tracking a fast-moving target on a computer screen. The first group is preparing to speak, the second group is speaking, and the third group is listening to a conversation.
The sample mean and sum of squares of the scores for each of the three groups are presented in the following table.
Group Sample Mean Sum of Squares
Preparing to speak 98.3 7,2810.0900
Speaking 101.5 6,6156.8100
Listening 103.2 70,277.7600
After collecting the data, you analyze the data using an ANOVA. The results of your analysis are presented in the following ANOVA table.
Source of Variation SS df MS F
Between Treatments 3,095.00 2 1,547.50 5.52
Within Treatments 209,244.66 747 280.11
Total 212,339.66 749
These findings are significant at α = 0.05, which tells you that the difference is very unlikely to have occurred just by chance, but it does not tell you the size of the effect. A simple measure of the effect size is given by: ________
Required:
What is the formula for this measure of the effect size?
Answer:
η²
SSbetween / SStotal
η² = 0.0145757
Step-by-step explanation:
Effect size, η² = SSbetween / SStotal
SSbetween is the sum of square between the groups in the experiment. It is sometimes denoted as SSb.
The sum of square Total, SStotal measures the entire variability in these dataset.
SSbetween = 3,095.00 ; SStotal = 212,339.66
η² = SSbetween / SStotal
Effect size η²= 3,095.00 / 212,339.66
Effect size = 0.0145757
Please Help Me ASAP.
Answer:B
Step-by-step explanation:
Pls help! ASAP! I will mark Brainliest! If you give me a file or guess I will report you!
Answer:
the second and last one
....................
the diameter of your bycicle wheel is 25 inches how far will you move in 2 turns of your wheel use 3.14 for pi
Answer:
157 in
Step-by-step explanation:
2x3.14x25 = 157 in
What is Limit of StartFraction x minus 1 Over x squared minus 1 EndFraction as x approaches negative 1?
Answer:
D
Step-by-step explanation: :)
multiplying and simplify radicals!
if u get it right I’ll give brainliest (show math pls!!!)
I would rlly appreciate it if y’all help me! :)
Answer:
10√5 - 5√2
or
5(2√5 - √2)
Step-by-step explanation:
Given:
2√5(5 - 5√5)
Required:
Multiply and simplify
Solution:
2√5(5 - 5√5)
Apply distributive property by multiplying each term in the bracket by 2√5
2√5*5 - 2√5*5√5
2*5√5 - 2*5√5*√5
10√5 - 10√25
10√5 - 10*5
10√5 - 50
10√5 - (25*2)
10√5 - 5√2
Or
5(2√5 - √2)
WHAT IS THE ANSWER PLSS
Answer: X≥6
Step-by-step explanation:
x/-2≤-3
x≥-3(-2)
X≥6
Determine the amount of an investment if $ 1500 is invested at an interest rate of 4% compounded annually for 4 years,
Answer:
Sorry i dont know but thanks for The points
Step-by-step explanation:
Type your answer and describe how
you found the answer
ROSS is a museum tour
guide at the Art Museum.
He charges $35 per person
for a 1 hour tour. He
typically has 54 people on
tours during the week. His
expenses for the week are
approximately
$108.63.
What is the amount of
profit that Ross will make?
Answer:
Ross's profit it 1,781.37
Step-by-step explanation:
$35 per person and 54 people= 35x54=1890
Profit= the amount of money he makes after his expenses.
1890-108.63=1781.37
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 29 light bulbs has a mean life of 737 hours. Assume the population is normally distributed and the population standard deviation is 59 hours. At α=0.08, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e)
Answer:
The calculated test |Z| = |-1.55| >1.405 at 0.08 level of significance
The null hypothesis is rejected at a 0.08 level of significance.
An Alternative hypothesis is accepted
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour
Step-by-step explanation:
Step(i):-
Given that the mean life of a certain type of light bulb is at least 754 hours
Given that the random sample size 'n' =29
Given that the mean life of sample x⁻ = 737
Given that the standard deviation of the Population = 59
Step(ii):-
Null hypothesis: H₀: μ≥ 754
Alternative Hypothesis:H₁: μ≤ 754
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{737-754 }{\frac{59}{\sqrt{29} } }[/tex]
Z = -1.55
The calculated test |Z| = |-1.55| >1.405 at 0.08 level of significance
The null hypothesis is rejected at 0.08 level of significance
Final answer:-
The calculated test |Z| = |-1.55| >1.405 at 0.08 level of significance
The null hypothesis is rejected at a 0.08 level of significance.
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at most 754 hour
The expression 3 + 2(x - 5)2
models the height of a ball after X seconds. The constant in the simplified form of the expression represents the initial height, in feet, of the ball. What is the initial height of the ball?
A. -30 feet
B. -5 feet
C. 3 feet
D. 53 feet
9514 1404 393
Answer:
D. 53 feet
Step-by-step explanation:
The value of the expression when x=0 is ...
3 + 2(-5)² = 3 + 2(25) = 3 +50 = 53
The initial height of the ball is 53 feet.
Can somebody tell me which one of these options do I put? (I need to put two)
Answer:
B D and E
Step-by-step explanation:
Expressions do not contain equal signs
solve the expression 7x + 8, x=4
Answer:
36
Step-by-step explanation:
7x + 8
x = 4
So, 7(4) = 28
28 + 8 = 36
Please!!!!! HELP!!!!!!!!!
Heres another math question! Please no links, and dont answer if you dont have an answer or I will report!
hope you have an amazing day lovely! <3
Which fraction represents the probability of getting at least 1 heads?
A.7/8
B.3/4
C.1/6
D.1/8
how often did superwireless have faster download times than com-com in these examples
Answer:
most of the time .........
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
Most of the time
helppp please i don’t understand
Here's the Solution,
let's take :
x1 = 7x2 = 3y1 = 5y2 = 2now,
=》
[tex]d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } [/tex]
=》
[tex]d = \sqrt{(3 - 7) {}^{2} + (2 - 5) {}^{2} } [/tex]
=》
[tex]d = \sqrt{( - 4) {}^{2} + ( - 3) {}^{2} } [/tex]
=》
[tex]d = \sqrt{16 + 9} [/tex]
=》
[tex]d = \sqrt{25} [/tex]
=》
[tex]d = 5[/tex]
So, distance between the points is 5 units
$987.65 is invested at 0.4% annual interest for 5 years.
a. Simple Interest b. Compound Interest
Answer:
I. Simple interest = $19.753
II. Compound interest = $1007.6
Step-by-step explanation:
Given the following data;
Principal = $987.65
Interest rate, R = 0.4%
Time, T = 5 years
To find the simple interest;
S.I = PRT/100
S.I = (987.65*0.4*5)/100
S.I = 1975.3/100
S.I = $19.753
II. To find the compound interest;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Substituting into the formula, we have;
[tex] A = 987.65(1 + \frac{0.4}{100})^{5}[/tex]
[tex] A = 987.65(1 + 0.004)^{5} [/tex]
[tex] A = 987.65(1.004)^{5} [/tex]
[tex] A = 987.65(1.0202)[/tex]
A = $1007.6
Frances practiced with her band for 2 hours on Friday, 4 hours on Saturday, and 2 hours on
Sunday. Her band practiced the same number of hours for the next two Fridays, Saturdays,
and Sundays. What is the total number of hours Frances and her band practiced?
Answer:
24 hours
Step-by-step explanation:
2+4+2 hours on Friday, Saturday, Sunday =8 hours per weekend
8 hours per weekend x 3 weekends = 24 total hours.
4
Acellus
Find the lateral area of this cone.
Leave your answer in terms of pie
4ft
3ft
LA = [ ? ] pie ft2
Hint: Lateral Area of a Cone = mre
Where l = slant height
Enter
Answer:12
Step-by-step explanation: I multiplied 3 times 4
The Lateral Surface Area of cone is 12 π ft³
what is Lateral Surface area of Cone?The lateral area of a cone is defined as the area covered by the curved surface of the cone. It is also called lateral surface area (LSA) or curved surface area (CSA) of a cone. A cone is a 3-D object which tapers smoothly from the flat circular base to a point. In other words, it is a shape formed by a set of line segments coming from the base that connects to a common point
example:
Find the lateral area of a cone having base radius of 21 units and height of 20 units. (Use π = 22/7)
Solution: Given that r = 21 units and h = 20 units
Thus, slant height of the cone, l = √(r2 + h2) = √(212 + 202) = √(441 + 400) = √841 = 29 units
We know, the lateral area of the cone = πrL
Lateral area of a cone = (22/7) × 21 × 29
= 22 × 3 × 29
= 1914 units2
Answer: The lateral surface area of the given cone is 1914 units2
Given:
l= 4 ft
r= 3 ft
Lateral area = πrl
Lateral area = π * 3 * 4
Lateral area = 12 π ft³
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The reciprocal of 7 1/2 is
Answer:
2/15
Step-by-step explanation:
To find the reciprocal of a fraction switch the numerator and the denominator
7 1/2 = 15/2 = 2/15
Have a good day
In a family there is 1 mother and 1 father also 4 daughters who have one brother . How many family members are there
Answer:
There are 7 total family members.
Step-by-step explanation:
The mother and father make 2, the 4 daughters make 6, and they have one brother among them, making 7.
Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high. If the snail started on Monday will it reach the top of the cabin wall before you leave on Friday?
Answer:
Step-by-step explanation:
Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that each day the snail carefully works its way 30 inches up the wall, while at night it slips back down 12 inches. Therefore, the net distance that snail covers is 18 inches.
The distance covered by the snail in 4 days from Monday to Friday morning is,
Distance = 4 days × 18 inches = 72 inches
Distance covered on Friday = 30 inches
Total distance covered = 72 inches + 30 inches = 102 inches
The total distance covered before you leave on Friday is 102 inches.
Further, the height of the wall is 9 feet, therefore, the snail needs to cover a distance of 108 inches (1 foot = 12 inches). Also, since the distance covered by a snail in 5 days is 90 inches, the total distance is 108 inches.
Hence, If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.
Learn more about Multiplication here:
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Solve the following pair of simultaneous equation using elimination method.
3x_2y=7
X+2y= _3
Answer:
x = 1 and y = −2
Step-by-step explanation:
Rewrite equations:
x + 2y = −3
3x − 2y = 7
Step 1: Solve x+2y=−3 for x:
x + 2y = −3
x + 2y + −2y = −3 + −2y (Add -2y to both sides)
x = −2y − 3
Step 2: Substitute −2y − 3 for x in 3x − 2y = 7:
3x − 2y = 7
3(−2y − 3) − 2y = 7
−8y − 9 = 7 (Simplify both sides of the equation)
−8y − 9 + 9 = 7 + 9 (Add 9 to both sides)
−8y = 16
−8y/−8 = 16/−8 (Divide both sides by -8)
y = −2
Step 3: Substitute −2 for y in x = −2y − 3:
x = −2y − 3
x = (−2)(−2) − 3
x = 1 (Simplify both sides of the equation)