k(t) =
13t- 2
k(3) =
Answer:
the answesr is 37.
Step-by-step explanation:
substitute 3 into the equation as t.
evaluate.
The following steps show how the right side of
1 + sin(2x) = (sin(x) + cos(x)]? can be rewritten to show it
is an identity.
What are the correct justifications, listed in proper
order?
[sin(x) + cos(x)]
= sin?(x) + 2 sin(x)cos(x) + cos²x)
= 1 + 2 sin(x)cos(x)
= 1 + sin(2x)
O Distributive Property, Pythagorean Identity, Double
Angle Identity
O Pythagorean Identity, Distributive Property, Double
Angle Identity
O Distributive Property, Double Angle Identity,
Pythagorean Identity
O Double Angle Identity, Distributive Property,
Pythagorean Identity
Answer:
A. Distributive Property, Pythagorean Identity, Double Angle Identity
Step-by-step explanation:
The correct order of justifications is:
Distributive Property, Pythagorean Identity, Double Angle Identity.
The correct justifications, listed in proper order, for the steps to rewrite the right side of 1 + sin(2x) = (sin(x) + cos(x)] as an identity are as follows:
Distributive Property: [sin(x) + cos(x)]This step distributes the terms inside the brackets.
Pythagorean Identity: sin²(x) + cos²(x) = 1This step uses the Pythagorean Identity, which states that the square of the sine of an angle plus the square of the cosine of the same angle is equal to 1.
Double Angle Identity: sin(2x) = 2sin(x)cos(x)This step applies the double angle identity for sine, which expresses sin(2x) in terms of sin(x) and cos(x).
Double Angle Identity: 1 + sin(2x)This step simplifies the expression on the right side of the equation using the previously established double angle identity.
Therefore, the correct order of justifications is:
Distributive Property, Pythagorean Identity, Double Angle Identity.
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ2
A package weighs 96 ounces. What is the wright of the packages in pounds? Please need this quickly.
Answer:
its 6 pounds :)
Step-by-step explanation:
hope this helps <3
Answer:
7 Pounds 2 Ounces
Step-by-step explanation:
Each pound is 16oz.
Use the right triangle and the given information to solve the triangle. a=5 B=53degrees find b c and A
Answer: A = 37°
c = 8.31
b = 6.63
Step-by-step explanation:
I suppose that the triangle is something like the one below.
Then we know the measure of an angle and the length of the adjacent cathetus.
a = 5
B = 53°
Now we can use the relationships:
Tan(B) = (opposite cathetus)/(Adjacent cathetus) = b/a
Cos(B) = (adjacent cathetus)/(hypotenuse) = a/c
Sin(B) = (opposite cathetus)/(hypotenuse) = b/c
Then we have:
Tan(53°) = b/5
Tan(53°)*5 = b = 6.63
So we found the length of b.
Now we can use the second relationship to find the length of c:
cos(53°) = 5/c
c = 5/cos(53°) = 8.31
Now, to find the angle A we can use the fact that the sum of all interior angles of a triangle must be equal to 180°
We know that is a triangle rectangle, so we have an angle equal to 90°, this one is C = 90°, and we also know that B = 53°
Then:
A + B + C = 180°
A + 53° + 90° = 180°
A + 53° = 180° - 90° = 90°
A = 90° - 53° = 37°
Then:
A = 37°
c = 8.31
b = 6.63
Aziraphale bought books to be shipped to his library, in case they got out of stock. He bought 36 books, each having a total of $10 dollars. The company that supplies him books gave Aziraphale a buy 6, get 60% off sale. How much money did he spend?
Answer:
216
Step-by-step explanation:
36 times 10 = 360
360 times 0.60 = 216
two thousand fifty-two thousandths as a decimal.
Answer:
2052,000.............
Answer: 205.2
Step-by-step explanation:
(a) If you toss 10 coins, what percent of the time will you get the three most likely macrostates (6 heads and 4 tails, 5 heads and 5 tails, 4 heads and 6 tails)?(b) You can realistically toss 10 coins and count the number of heads and tails about twice a minute. At that rate, how long will it take on average to get either 10 heads and 0 tails or 0 heads and 10 tails?
This question is incomplete, the microstates table is left out which will be uploaded along this answer;
Answer:
a) the required is 65.6%
b) the required time is 4.2666 hrs
Step-by-step explanation:
using the microstates from the table in the diagram;
a)
the percent times the above any of the above microstates occurs is;
% (6 heads and 4 tails, 5 heads and 5 tails, 4 heads and 6 tails)
= ((210 + 252 + 210)/1024) × 100
= 0.6562 × 100
= 65.6%
Therefore the required is 65.6%
b)
the probability of getting 10 heads and 0 tail or 0 tail head and 10 tails is;
p( 10H, 0T or 0H, 10T = 2/1024
= 1/512
so on average, it will take 512 trails or at a rate of 2 trials/min, 256 mim in hours;
(256 min) ( 1h/60min) = 4.2666 hrs
Therefore the required time is 4.2666 hrs
help, please this is calc 3
Answer:
[tex]\int\limits^\pi_0 {\int\limits^{7cos(\theta)}_0 {r} \, dr } \, d\theta = \frac{49 \pi}{4}[/tex]
Top Right (Selected) Sketch
General Formulas and Concepts:
Calculus
Fundamental Theory of Calculus: [tex]\int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]Reverse Power Rule: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1}[/tex]Integration Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Trig Reduction Formula: [tex]\int\limits {cos^n(x)} \, dx = \frac{n-1}{n} \int {cos^{n-2}(x)} \, dx + \frac{cos^{n-1}(x)sin(x)}{n}[/tex]Multivariable Calculus
Sketching the Region REvaluating Double IntegralsStep-by-step explanation:
Step 1: Define
[tex]\int\limits^\pi_0 {\int\limits^{7cos(\theta)}_0 {r} \, dr } \, d\theta[/tex]
Step 2: Integrate Pt. 1
Evaluate the inner integral.
Define: [tex]\int\limits^{7cos(\theta)}_0 {r} \, dr }[/tex]Integrate [Reverse Power Rule/FTC]: [tex]\int\limits^{7cos(\theta)}_0 {r} \, dr } = \frac{r^{1+1}}{1+1} | \limits^{7cos(\theta)}_0[/tex] Simplify: [tex]\int\limits^{7cos(\theta)}_0 {r} \, dr } = \frac{r^2}{2} | \limits^{7cos(\theta)}_0[/tex]Evaluate [FTC]: [tex]\int\limits^{7cos(\theta)}_0 {r} \, dr } = \frac{(7cos(\theta))^2}{2} - \frac{0^2}{2}[/tex]Simplify: [tex]\int\limits^{7cos(\theta)}_0 {r} \, dr } = \frac{49cos^2(\theta)}{2}[/tex]Step 3: Integrate Pt. 2
Evaluate Double Integral.
[Inner Integral] Back-Substitute: [tex]\int\limits^\pi_0 {\int\limits^{7cos(\theta)}_0 {r} \, dr } \, d\theta = \int\limits^\pi_0 {\frac{49cos^2(\theta)}{2} } \, d\theta[/tex][Integral] Integration Property: [tex]\int\limits^\pi_0 {\int\limits^{7cos(\theta)}_0 {r} \, dr } \, d\theta = \frac{49}{2} \int\limits^\pi_0 {cos^2(\theta) } \, d\theta[/tex][Integral] Trig Reduction Formula: [tex]\int {cos^2(\theta) } \, d\theta = \frac{2-1}{2} \int {cos^{2-2}}(\theta) \, d\theta + \frac{cos^{2-1}(\theta)sin(\theta)}{2}[/tex][TRF Integral] Simplify: [tex]\int {cos^2(\theta) } \, d\theta = \frac{1}{2} \int {1 \, d\theta + \frac{cos(\theta)sin(\theta)}{2}[/tex][TRF Integral] Integrate: [tex]\int {cos^2(\theta) } \, d\theta = \frac{1}{2}(\theta) + \frac{cos(\theta)sin(\theta)}{2}[/tex][TRF Integral]: Simplify: [tex]\int {cos^2(\theta) } \, d\theta = \frac{cos(\theta)sin(\theta)}{2} + \frac{\theta}{2}[/tex][Double Integral] Back-Substitute/FTC: [tex]\int\limits^\pi_0 {\int\limits^{7cos(\theta)}_0 {r} \, dr } \, d\theta = \frac{49}{2} (\frac{cos(\theta)sin(\theta)}{2} + \frac{\theta}{2} ) | \limits^\pi_0[/tex][Double Integral] Evaluate FTC: [tex]\int\limits^\pi_0 {\int\limits^{7cos(\theta)}_0 {r} \, dr } \, d\theta = \frac{49}{2} [(\frac{cos(\pi)sin(\pi)}{2} + \frac{\pi}{2} ) - (\frac{cos(0)sin(0)}{2} + \frac{0}{2} )][/tex][Double Integral] Evaluate/Simplify: [tex]\int\limits^\pi_0 {\int\limits^{7cos(\theta)}_0 {r} \, dr } \, d\theta = \frac{49}{2} [\frac{\pi}{2} - 0][/tex][Double Integral] Evaluate: [tex]\int\limits^\pi_0 {\int\limits^{7cos(\theta)}_0 {r} \, dr } \, d\theta = \frac{49 \pi}{4}[/tex]Sketching out the Region R for this, we use our polar coordinate plane. Our angle Θ is 0 and our radius r is 0.
We look at the limits of integration for the radius r. Our r has to be between 0 and 7cos(Θ). The lowest possible value that can be attained by radius r is 0. The region has to be outside the circle r = 0. The largest possible value that can be attained by radius r is 7cos(Θ). Our region has to lie in this shape.
We now look at the limits of integration for the angle Θ. Our Θ has to be between 0 and π. Our region has to lie in that angle.
The top right graph (the one selected) is the correct sketch of the shaded region R.
Attached image is how we graph the region. Special thanks to ASimpleEngineer:
When you are given integers between 1000 and 2000, How many of them have both 15, 20 and 25 as factors?
Answer:
Three integers: 1200, 1500, and 1800.
Step-by-step explanation:
Hope this helped!
g The lengths of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. A study enrolls a random sample of 25 pregnant women. Assuming all appropriate conditions are met, what is the probability that the average pregnancy length of the women in the study is more than 268 days
Answer:
0.26599
Step-by-step explanation:
When given a random number of samples, we solve using this z score formula
z = (x-μ)/σ/√n
where x is the raw score = 268
μ is the population mean = 266
σ is the population standard deviation = 16
n = 25
For x > 268
z = 268 - 266/16/√25
z= 2/16/5
z = 0.625
Probability value from Z-Table:
P(x<268) = 0.73401
P(x>268) = 1 - P(x<268)
P(x>268) = 1 - 0.73401
P(x>268) = 0.26599
The probability that the average pregnancy length of the women in the study is more than 268 days is 0.26599
Which of the following shows 24.459 correctly rounded to the hundredths place?
24
24.46
24.45
Answer:
24.46
Step-by-step explanation:
Answer:
24.46
So the hundredths place is two places after the decimal. Since the thousandth place is a 9 this would round up the hundredths place to 6.
The coordinates of the vertices of AJKL are J(0, 2), K(3, 1), and L(1, – 5).
Drag and drop the choices into each box to correctly complete the sentences.
9514 1404 393
Answer:
JK slope: -1/3KL slope: 3JL slope: -7istwo of the slopes have a product of -1Step-by-step explanation:
The slope formula is useful.
m = (y2 -y1)/(x2 -x1)
__
JK slope = (1 -2)/(3 -1) = -1/3
KL slope = (-5-1)/(1-3) = -6/-2 = 3
JL slope = (-5-2)/(1-0) = -7
We observe that slopes (-1/3) and (3) have a product of -1, so those line segments are perpendicular. The triangle is a right triangle.
Figure FCDE has been dilated to create to create F’C’D’E’. What is the dilation scale factor?
Answer:
See explanation
Step-by-step explanation:
This question requires an attachment. Since there is none, I'll give a general explanation and proceed to answer the question with the attached figure.
To calculate the scale factor.
First, take the measurement of any of the original length. i.e. F, C, D or E
Next, take the measurement of any of the dilated length. i.e. F', C', D' or E'
Then, divide the dilated length by the original length.
i.e.
[tex]Scale\ Factor = \frac{F'}{F} = \frac{C'}{C'}=\frac{D'}{D}=\frac{E'}{E}[/tex]
To further explain; take the attachment as a point of reference.
We have that:
[tex]FC = 3\ units[/tex]
[tex]F'C' = 9\ units[/tex]
[tex]Scale\ Factor = \frac{F'C'}{FC}[/tex]
[tex]Scale\ Factor = \frac{9}{3}[/tex]
[tex]Scale\ Factor = 3[/tex]
Identify the set of perpendicular lines in this image.
Answer:
there is no image for me to look at
If there i a 1/5 that something will happen, how can you turn that fraction into a percentage to describe the chances?
Answer:
That means there is a 20% chance something will happen
Step-by-step equation
If you turn the fraction to 20/100, which is 1/5 but not simplified, and you turn it to decimal form, then it is 0.20 or 0.2. Either way it shows it is 20/100 which is 20%
3) The length of a rectangle is 2 less than twice the width. The perimeter of the rectangle is
38. Find the length and the width of the rectangle.
Answer:
The length of the rectangle is 36 and the width is 40
Step-by-step explanation:
Hope this helps
Using this input and output machine, f(x) = ?
x/6 + 12
x/3 * 2 - 12
x/6 * 2 - 24
x/6 - 12
It takes Annie eight hours to travel a distance of 480 miles at this rate how many miles does she travel in 13 hours
Answer:
Answer: 6,240
Step-by-step explanation:
How do I find y-intercept on a graph??
b) How many white-winged cross bills will there be at the end of June 2020? (Remember that t represent
Answer:
A dozen = 12
Step-by-step explanation:
I think I’m right
Find the slope of the line between (4,1) and (7, 9)
Answer:
8/3
Step-by-step explanation:
BRAINLIEST PLZ HELP it means a lot
Answer:
1, 3, and 4
Step-by-step explanation:
Answer:
A, C, and D
Step-by-step explanation:
Hope this helps!
helppppppppppp
4(52x−5)+12x−9
Answer:
its -1148.
Step-by-step explanation:
remember to use pemdas, do the parentheses first, then add and subtract from left to right
if the angles on an isosceles triangle are congruent, what else is congruent?
Answer:
the two sides are congruent as well. Isosceles triangle theorem
Step-by-step explanation:
4 X 8
X 8= (
_X 8) + (2 X 8)
Answer:
192 is the missing number
Step-by-step explanation:
4 times 8 times 8 = (192 times 8) + (2 times 8)
6-х?
х+3
If y = , what is the value on y when x = 7i?
31
+ 63 і
85
85
63
85
63
і
85
ООООО
85
31
85
63
31
85
63
+
8 +
85
31
1
63
63
Answer:
Are you serious
Step-by-step explanation:
Answer:
I have no idea what this is supposed to mean.
Complete the statements.
Graph _ has one real root.
Graph _ has a negative discriminant.
Graph _ has an equation with coefficients
a = 1, b = 4, c = -2
Answer:
Step-by-step explanation:
Graph A has a negative discriminat because it does not touch the x-axis so the roots will be complex
Graph B has one real rooth because is a graph of a perfect square
Graph C has an equation with coeficients because it has to real roots (where the graph intersects the x axis.
Answer:
1) B
2) A
3) C
Step-by-step explanation:
Graph A has a negative discriminant because it does not touch the x-axis so the roots will be complex .
Graph B has one real root because is a graph of a perfect square .
Graph C has an equation with coefficients because it has to real roots (where the graph intersects the x axis.
Total consumption of fruit juice in a particular country in 2006 was about 1.86 billion
gallons. The population of that country in 2006 was 500 million. What was the average number of
gallons of fruit juice consumed per person in the country in 2006? Using the per
person amount from this problem, about how many gallons would your class consume?
Answer:
Step-by-step explanation:
Kindly check explanation
Step-by-step explanation:
The population of that country in 2006 was 500 million. What was the average number of
gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per
person amount from this problem, about how many gallons would your class consume?
Total consumption in 2006 = 2.11 billion gallons (2,110,000,000)
Population of country in 2006 = 500,000,000
Average number of gallons of fruit juice consumed per person in the country in 2006:
Total consumption / total population
2,110,000,000 / 500,000,000
= 4.22 gallons per person
Number of gallons class will consume :
Assume number of students in class = 15
Hence, class consumption equals:
Average consumption per person × number of students in class :
4.22 × 15 = 63.3 gallons
The selling price s , of an item is S equals C plus MC where C is the cost of the item and Emma is the percent markup based on cost what is the formula solved for M
9514 1404 393
Answer:
M = (S -C)/C
Step-by-step explanation:
Starting with ...
S = C + MC
we want to solve for M.
S - C = MC . . . . subtract the term not containing M
(S -C)/C = M . . . . divide by the coefficient of M
Solved for M, the formula is ...
M = (S -C)/C
Write the equation of the line, in general form, that has a slope of 2 and a y-intercept of -5 .
Answer:
Y=2x-5
Step-by-step explanation:
The prblem is y=mx+b. You have to then repace your symbols with your slope (m) and your y - Intercept (B)
