Answer:
cos0 = 6.8556546i/23 or sqrt-47/23
Step-by-step explanation:
hypotenuse is 23, opposite is 24
we have to find the adjacent using the pythagorean theorem
24^2 + b^2 = 23^2
576+b^2=529
subtract
b^2=-47
b=sqrt-47
sqrt of -47 is 6.8556546i, there is an i since it is the square root of a negative
cos = adjacent/hypotenuse
why is the growth factor 0.9?
Answer:
Actual growth of population - Birth - Death + In migration - Out Migration. ...
Consider the following time series. t 1 2 3 4 5 yt 6 10 8 13 15
(a) Choose the correct time series plot. (i) (ii) (iii) (iv) What type of pattern exists in the data?
(b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. If required, round your answers to two decimal places. y-intercept, b0 = 4.1 Slope, b1 = 2.1 MSE = ????
(c) What is the forecast for t = 6? If required, round your answer to one decimal place. 16.7 I know how to do it all but the MSE.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
t __1 2 3 4 5
yt_ 6 10 8 13 15
Using technology to produce a linear model :
The linear model obtained shows a positive linear pattern exist for the time series data :
The parameters for the line that minimizes MSE for the then series is :
y = 2.1t + 4.1
Where, slope = 2.1 ; intercept = 4.1
The mean squared error :
Sum of squared estimate of error = 9.1
Mean squared error = √9.1
Mean squared error = 3.02
Forecast for t = 6
y = 2.1t + 4.1
y = 2.1*6 + 4.1
y = 12.6 + 4.1
y = 16.7
Find the value of x.
Answer:
Hello! answer: 84
Step-by-step explanation:
This is 360 degrees therefore 84 is the answer
84 + 84 + 96 + 96 = 360 degrees
Use the Squeeze Theorem
Answer:
See Below.
Step-by-step explanation:
We want to use the Squeeze Theorem to show that:
[tex]\displaystyle \lim_{x \to 0}\left(x^2\sin\left(\frac{2}{x}\right)\right)=0[/tex]
Recall that according to the Squeeze Theorem, if:
[tex]\displaystyle g(x)\leq f(x) \leq h(x)[/tex]
And:
[tex]\displaystyle \lim_{x\to c}g(x) =\lim_{x\to c}h(x) = L[/tex]
Then:
[tex]\displaystyle \lim_{x\to c}f(x)=L[/tex]
Recall that the value of sine is always ≥ -1 and ≤ 1. Hence:
[tex]\displaystyle -1 \leq \sin\left(\frac{2}{x}\right) \leq 1[/tex]
We can multiply both sides by x². Since this value is always positive, we do not need to change the signs. Hence:
[tex]\displaystyle -x^2\leq x^2\sin\left(\frac{2}{x}\right)\leq x^2[/tex]
Let g = -x², h = x², and f = x²sin(2 / x). We can see that:
[tex]\displaystyle \lim_{x \to 0}g(x) = \lim_{ x \to 0}h(x) = 0[/tex]
And since g(x) ≤ f(x) ≤ h(x), we can conclude using the Squeeze Theorem that:
[tex]\displaystyle \lim_{x \to 0}f(x) = \lim_{x \to 0}x^2\sin\left(\frac{2}{x}\right)=0[/tex]
How many liters is 350 milliliters?
A. 3500 L
B. 3.50 L
C. 0.350 L
D. 0.035 L
Answer: C
Step-by-step explanation:
Step-by-step explanation:
1 L equals to 1000 mL
so 350 mL equals to 0.35L
The answer is C
Please help me figure out which is the correct answer, i have attached the picture for you to look at. Thanks so much!
Answer:
The answer is B ;)
Step-by-step explanation:
4x+5 is greater than or equal to 13
subtract 5 from each side to get 4x is greater than or equal to 8
then divide both sides by 2 to get
x is greater than or equal to 2
Del siguiente conjunto de datos calcula lo que se te pide: 3,6,8,4,3,2,6,7,1,5,4,8,4
¿cual es la media? del problema
cual es la moda?
Answer:
Moda = 4
Media = 4
Step-by-step explanation:
primero tienes que ordenarlos
1,2,3,3,4,4,4,5,6,6,7,8,8
La moda es el elemento que más se repite entonces es el 4
La media es el elemento que esta al medio, en este caso son 13 números
13/2 = 6.5, el elemento que esta en la séptima posición 7 es la media
media= 4
Someone help me please
9514 1404 393
Answer:
$448
Step-by-step explanation:
The given formula will tell you the amount of interest earned:
I = Prt
I = $400·0.02·6 = $48
The account balance will be the sum of the original deposit and the interest it earns:
$400 +48 = $448 . . . . balance after 6 years
what is the area of the irregular polygon shown below?
this contain two triangle and one rectangle
therefore total area = 2×area of triangle + area of rectangle
then refer the attachment
Help and explain please and thankyouuu’!!!!!
here,
f(x)=x-4
then, f(-3.2)=(-3.2)-4
[ replace the value of x in the equation by -3.2]
therefore,f(-3.2)=-7.2 answer....
HOPE THIS HELPS YOU.HAVE A NICE DAY/NIGHT.....
9514 1404 393
Answer:
(a) f(-3.2) = -7
Step-by-step explanation:
The ceiling function returns the smallest integer greater than or equal to its argument value. For an argument of -3.2, the next larger integer is -3.
[tex]f(-3.2)=\lceil -3.2\rceil-4=-3-4=\boxed{-7}[/tex]
Given Tan A= 2/3 and that angle A is in quadrant 1, find the exact value of sec A in simplest radical form using a rational denominator.
Answer:
[tex]\sec A =\frac{\sqrt{13}}{3}[/tex]
Step-by-step explanation:
Given
[tex]\tan A = 2/3[/tex]
Required
[tex]\sec\ A[/tex]
First, we have:
[tex]\tan A = \frac{x}{y}[/tex]
Where
[tex]x \to oppo site\\[/tex]
[tex]y \to adja cent[/tex]
[tex]z \to hypotenuse[/tex]
So:
[tex]\tan A = \frac{x}{y} =\frac{2}{3}[/tex]
By comparison:
[tex]x = 2; y =3[/tex]
Using Pythagoras, we have:
[tex]z^2 = x^2 +y^2[/tex]
[tex]z^2 = 2^2 +3^2[/tex]
[tex]z^2 = 13[/tex]
[tex]z = \sqrt{13[/tex]
[tex]\sec A =\frac{z}{y}[/tex]
[tex]\sec A =\frac{\sqrt{13}}{3}[/tex]
Select Yes or No to state whether each data set is likely to be normally distributed
Answer:
No
Step-by-step explanation:
no more animals in zoo
no average of animals at San Diego zoo is high
no visitors are more than 2k
Answer:
Step-by-step explanation:
average age of an elephant at a zoo- YES
number of elephants at the San Diego Zoo- NO
number of daily visitors at the San Diego Zoo- YES
took the test :)
you and your friend start biking to opposite directions from the same point. You travel 108 feet every 8 seconds. Your friend travels 63 feet every 6 seconds. a) how far apart are you and your friend after 15 minutes? b) after 20 minutes you take a 5- minutes rest, but your friend does not. How far apart are you and your friend after 40 minutes? Explain your reasoning.
Answer:
To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.
15 mins x 60 seconds = 900 seconds.
Step-by-step explanation:
In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.
112.5 x 108 = 12150 feet
12150 feet/5280 feet is approximately 2.3 miles.
For your friend you take 900/6 = 150 groups of 6 seconds.
150 x 63 = 9540 feet
9540 feet/5280 feet = 1.79 miles
1.79 miles + 2.3 miles = 2.09 miles
You and your friend are about 2.09 miles apart after 15 minutes.
B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more
3.07 + 2.3 = 5.37 miles after 40 minutes (you).
Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes
0.6 x 5 (5 x 5 = 25 minutes)= 3 miles
1.79 + 3 miles= 4.79 miles (friend)
4.79 + 5.37 = 10.16 miles
You and your friend are about 10.16 miles apart after 40 minutes.
A machine cuts dry wall screws with specifications such that the length of each screw is 1.25 inches with an allowable margin of error of 0.02 inches. Use this information to complete each statement.
Answer:
[tex](a)\ x = 1.25 \± 0.02[/tex]
[tex](b)[/tex]
[tex]Minimum = 1.23in[/tex]
[tex]Maximum = 1.27in[/tex]
Step-by-step explanation:
Given
[tex]L = 1.25in[/tex] --- Length
[tex]E=0.02in[/tex] -- Margin of error
Solving (a): The equation of the length
This is calculated as:
[tex]x = L \± E[/tex]
So, we have:
[tex]x = 1.25 \± 0.02[/tex]
Solving (b): The range of value of x
In (a), we have:
[tex]x = 1.25 \± 0.02[/tex]
Split:
[tex]x = 1.25 - 0.02[/tex] [tex]x = 1.25 + 0.02[/tex]
Solve for x
[tex]x = 1.23[/tex] [tex]x = 1.27[/tex]
So, we have:
[tex]Minimum = 1.23in[/tex]
[tex]Maximum = 1.27in[/tex]
Paulette had two books One of the books weighed 7/8 pound and the other book weighed 2/3 pound If both books were put on sale how much will they weigh together
Match each system of equations to the inverse of its coefficient matrix, A^-1and the matrix of its solution, X.
Answer: Hello the system of equations and other data required are missing attached below are the missing data
answer :
attached below
Step-by-step explanation:
1st system of equations ( top left ) = Image number 8
system of equation ( Image 10 ) = Image 4
system of equation ( Image 9 ) = Image 6
system of equations ( Image 7 ) = Image 2
attached below is a pictorial representation of the solution
how to convert 15 cm to mm
Suppose that E and F are points on the number line.
If EF=9 and E lies at 4, where could F be located?
If there are several locations, separate them with commas.
9514 1404 393
Answer:
-5 or 13
Step-by-step explanation:
A point that is 9 units from 4 on the number line ca be located at ...
4 - 9 = -5
4 + 9 = 13
F could be either of -5, 13.
convert 122f to Celsius
Answer:
50°C
Step-by-step explanation:
(122°F − 32) × 5/9 = 50°C
SOMEONE SMART PLEASE HELP!! If the area of a triangle is 32 yd^2 and the base is 6.4 yds long, find the height
Answer:
Height = 10 yd
Step-by-step explanation:
GIVEN :-
Area of the triangle = 32 yd²Base of the triangle = 6.4 ydTO FIND :-
The height of the triangleGENERAL FORMULAE TO BE USED IN THIS QUESTION :-
For a triangle with base 'b' & height 'h' , its area = [tex]\frac{1}{2} \times b \times h[/tex]
SOLUTION :-
[tex]Area = \frac{1}{2} \times Base \times Height[/tex]
[tex]=> 32 = \frac{6.4h}{2}[/tex]
[tex]=> 6.4h = 32 \times 2 = 64[/tex]
[tex]=> h = \frac{64}{6.4} = 10\: yd[/tex]
a rectangular field is 454 times as long as it is wide if the perimeter of the field is 540 yd what are the field dimensions
Answer:
WIDTH= 54yd, LENGTH= 216 yd
Step-by-step explanation:
Length can be denoted as L
Width can be denoted as W
From the question,
(L= 4W) ........... eqn(1)
But perimeter = [(2L + 2W)]........eqn(2)
Substitute eqn(1) into (2)
Perimeter= (8W + 2W) = 10W
From the question,
perimeter= 540 yd
540=10W
W=(540/10)= 54
W= 54 yd
Hence, WIDTH= 54yd
From equation (1) substitute W= 54 yd
(L= 4W)
L= (4×54)
L= 216 yd
Hence, LENGTH= 216 yd
The dimensions are WIDTH= 54yd, LENGTH= 216 yd
Cannot seem to figure this one out.
Answer:
cosB = 2√6 / 7
Step-by-step explanation:
use the pythagorean theorem to find the missing side
a² + b² = c²
a² + 5² = 7²
a² + 25 = 49
a² = 24
a = √24
a = 2√6
--------------------------
cosB = adj/hyp
cosB = 2√6 / 7
Answer a, b and c. See image below
Answer:
a) 3/5 < 4/5
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) [tex]\frac{7}{10} > \frac{9}{15}[/tex] or [tex]\frac{7}{10}<\frac{9}{15}[/tex]
Step-by-step explanation:
a) 3/5 < 4/5
Flip the sign and the placement of the fraction so 3/5 is less then 4/5.
b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.
c) We need to change the denominators to a common denominator to compare the size of the two fractions:
[tex]\frac{7}{10}[/tex] × [tex]\frac{3}{3}[/tex] = [tex]\frac{21}{30}[/tex]
[tex]\frac{9}{15}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{18}{30}[/tex]
The common denominators of the two fractions is 30. Comparing the two fractions:
[tex]\frac{21}{30} >\frac{18}{30}[/tex] or [tex]\frac{18}{30}<\frac{21}{30}[/tex]
so we get: [tex]\frac{7}{10} > \frac{9}{15}[/tex] or [tex]\frac{7}{10}<\frac{9}{15}[/tex]
Can someone help me again with these math work?
Answer:
it look like its 4 and the 4 over 4/5 I think
Find the values of x,y and z
Step-by-step explanation:
x = 180-106 = 74°
y = x/2 = 74/2 = 37°
4z+6 =106
4z = 100
z = 25°
4(m + 3) = 18
write the solution to the equation
Answer:
1.5
Step-by-step explanation:
Let's begin by dividing each side by 4.
You get 18/4 or 4.5.
m+3=4.5
Now subtract 3 to each side.
m=1.5
Answer:
[tex]4(m + 3) = 18 \\ 2(m + 3) = 9 \\ 2m + 6 = 9 \\ 2m = 3 \\ m = \frac{3}{2} \\ m = 1.5[/tex]
Question 21
Find the volume.
Answer:
C
4712 cm³ exactly
Step-by-step explanation:
10² * pi is the area of the circle
then just multiply with the height
Answer:
C. 1500π ≈ 4710 cm³
Step-by-step explanation:
Volume = πr²h
Volume = π * 100 * 15
Volume = 1500π ≈ 4710 cm³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Write the product in simplest form: 1 2/3 x 3 4/5=
Answer:
19/3
Step-by-step explanation:
1 2/3 = (1*3 + 2)/3 = 5/3
3 4/5 = (5*3 + 4)/5 = (15 + 4)/5 = 19/5
5/3 * 19/5 = 19/3 The 5s cancel.
The simplest form is not obvious to me. I think the answer above is in simplest form, and I will put that below the answer above. But 6 1/3 is also possible.
Answer:
4 1/3
Step-by-step explanation:
1 [tex]\frac{2}{3}[/tex] × 3 [tex]\frac{4}{5}[/tex] =
[tex]\frac{5}{3}[/tex] × [tex]\frac{19}{5}[/tex] =
[tex]\frac{95}{15}[/tex] = 4 [tex]\frac{5}{15}[/tex] = 4 1/3
if gh¢400.00 is deposited at a bank at 10% per annum compounded quarterly, how long will it take the deposit to double it value.
9514 1404 393
Answer:
7 years
Step-by-step explanation:
The multiplier each quarter is 1 +10%/4 = 1.025. The number of quarters, n, that must pass before the value is multiplied by 2 is given by ...
1.025^n = 2
Taking logarithms, we can solve for n:
n×log(1.025) = log(2)
n = log(2)/log(1.025) ≈ 28.071
It will take 28 quarters, or 7 years, for the value to double.
Soosie's Cookie Company had fixed costs of $1250 and variable costs of $4.25 per dozen gourmet cookies that were baked and packaged for sale. Write an equation that can be used to determine the total cost when x dozens of cookies are baked and sold. Then determine the total cost of baking and selling 85 dozen gourmet cookies.
Answer:
$1250.00 + (x)$4.25 =
Step-by-step explanation
So fixed costs are $1,250.00.....every dozen you bake add $4.25 to the costs, cook one dozen you have $1,250.00 plus $4.25 or a total of $1,254.25.
Cook 10 dozen and you add $45.25 = the $1,250.00 for a new total of $1,295.25.