Answer:
22
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Becuase it was simple math. Have a good day.
Help please, again, sorry I’m struggling
Answer:
7 feet
Step-by-step explanation:
Answer:
A. 4ft
Step-by-step explanation:
It would be four feet because since the opening is 3ft and the length is 5ft, it would be 4ft because the length is going to be close to the height which would also be the same with the opening. The opening is always a little shorter than the top of the tent meaning this would be 4ft.
(2-3) exponent 4 (4)-9 divided by 3
Answer:
The correct answer is 1.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!
if the cost of 8 boxes is rupees 243.20 the cost of one box
Answer:
30.4
Step-by-step explanation:
8 boxes = 243.20
find 1 boxes
= 243.20 ÷ 8
= 30.40 / 30.4
In the figure shown, the measures of all angles are equal, and AB = EF.
What type of transformation appears to map ABC onto EFG?
A. reflection
B. translation
C. rotation
D. none of the above
Answer:
your answer will be C. rotation
Step-by-step explanation:
hope it helps...
have a great day!
The type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation
What is ASA congruency?If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.
For this case, both the triangles ABC and EFG satisfy the ASA congruency. Thus, they are congruent. Congruent triangle means they are just same, but might be placed different or rotated.
For this case, for making ABC look like EFG, we need to rotate it, and will have to move it too(which is called translation).
Thus, the type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation
For some cases, we may ignore translation and just call them transformed rotationally, because usually two triangles will be placed different. But in literal sense, these two transformation will be needed for sure.
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A team of scientists is developing a computer model to predict the change in average global temperatures over the next 100 years. The model accounts for a wide variety of variables that could affect temperature during this time.
Sort the variables according to whether they likely would affect the temperatures that the model predicts.
carbon dioxide emissions from human activity carbon dioxide emissions from activities in nature global sea level global rates of photosynthesis changes in Earth's orbital path acidity of ocean water Affects the Temperature Predictions
Does Not Affect the Temperature Predictions
Answer:
carbon dioxide emissions from human activity carbon dioxide emissions from activities in nature global sea level global rates of photosynthesis changes in Earth's orbital path acidity of ocean water Affects the Temperature Predictions
Does Not Affect the Temperature Predictions
The function of the model for Average Global temperature can be expressed as
[tex]T (x,y,z,p,q) \\where \; x, y,z, p,q\; are \; the \; variables[/tex]
The variables are sorted as follows
Rank Variable
1 x = Carbon dioxide emissions from human activity
2 y = Carbon dioxide emissions from activities in nature
3 z= Global sea level
4 p= Global rates of photosynthesis changes in Earth's orbital path
5 q = Acidity of ocean water
Given ,
Scientists are developing computer model to predict the change in average global temperatures over the next 100 years.
Let [tex]T[/tex] be the average global temperature
According to the given question
[tex]T[/tex] is a function of many variables
[tex]T (x,y,z,p,q) \\where \; x, y,z, p,q\; are \; the \; variables[/tex]
These variables are given below
let
x = Carbon dioxide emissions from human activity
y = Carbon dioxide emissions from activities in nature
z= Global sea level
p= Global rates of photosynthesis changes in Earth's orbital path
q = Acidity of ocean water
We have to Sort the variables according to whether they likely would affect the temperatures that the model predicts.
Human activities have increased the amount of [tex]CO_2[/tex] in atmosphere.
[tex]CO_2[/tex] is major green house gas which causes global warming and also glaciers are melting due to rise in average global temperature.
The Time interval is sufficiently large to have a greater impact due to Global sea level.
The Ranks of different variables are given as follows.
Rank Variable
1 x = Carbon dioxide emissions from human activity
2 y = Carbon dioxide emissions from activities in nature
3 z= Global sea level
4 p= Global rates of photosynthesis changes in Earth's orbital path
5 q = Acidity of ocean water
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1/4x - 8=4. I am not understanding this question can someone help me plssss.
Answer:
48
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
1. Complete the empty cells in the table below with the correct values. sin theta= sqrt 2/2
Using trigonometric function concepts, it is found that:
The angle is of 45 degrees, or [tex]\frac{\pi}{4}[/tex] radians.[tex]\cos{\theta} = \frac{\sqrt{2}}{2}[/tex][tex]\csc{\theta} = \sqrt{2}[/tex][tex]\sec{\theta} = \sqrt{2}[/tex][tex]\cot{\theta} = 1[/tex]From the sine, we have that:
[tex]\sin{\theta} = \frac{\sqrt{2}}{2}[/tex]
Then:
[tex]\sin^{-1}{\sin{\theta}} = \sin^{-1}{\frac{\sqrt{2}}{2}}[/tex]
[tex]\theta = \frac{\pi}{4}[/tex]
Since pi radians is 180º, this angle is of 180/4 = 45 degrees.
From the tangent:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
[tex]1 = \frac{\frac{\sqrt{2}}{2}}{\cos{\theta}}[/tex]
[tex]\cos{\theta} = \frac{\sqrt{2}}{2}[/tex]
[tex]\cot{\theta} = \frac{1}{\tan{\theta}}[/tex]
[tex]\cot{\theta} = 1[/tex]
For the cosecant and secant:
[tex]\csc{\theta} = \frac{1}{\sin{\theta}} = \frac{1}{\frac{\sqrt{2}}{2}} = \frac{2}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \sqrt{2}[/tex]
[tex]\sec{\theta} = \frac{1}{\cos{\theta}} = \frac{1}{\frac{\sqrt{2}}{2}} = \frac{2}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \sqrt{2}[/tex]
[tex]\csc{\theta} = \sqrt{2}[/tex]
[tex]\sec{\theta} = \sqrt{2}[/tex]
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A bag of color tiles contains 2 red, 1 blue, 1 green, and 4 yellow. Sean reaches in and draws one
tile without replacing it. He then draws a second tile and a third tile without replacing them. Which
of the following combinations is a possible draw?
F:red,blue,blue G:red,green,green H:yellow,blue,green J:blue,blue,green
Answer:
H
Step-by-step explanation:
Since there is 4 yellows, 1 green, and 1 blue, there is no way you could draw 2 blues or 2 greens. Therefore, F, G, and J are immediately eliminated. The only answer left is H, and it makes sense. H is the answer.
Answer:
H: yellow, blue, green
Step-by-step explanation:
F: red, blue, blue = cannot be true as there is 1 blue tile in bag and it cannot be drawn twice without replacing first draw.
G: red, green, green = cannot be true because 1 original green tile in bag cannot be drawn twice
J: blue,blue, green = cannot be true for same reason; 1 original blue tile cannot be drawn twice without replacement.
Consuelo paid $16.72 for an item which was discounted
24%. What was the price of the item before it was
discounted?
.
BRAINLIEST FOR THE ANSWER
Answer:
A
Step-by-step explanation:
14/8-11/8=3/8
Answer:
a
Step-by-step explanation:
1 3/4 =1 6/8 so 3/8 plus 3/8 is 6/8
if the probability of passing a driving test is 0.9,what is the probability of failing the driving test
Answer:
0.1
Step-by-step explanation:
Lol hi again . hope this helped you
please help!!!!!!!!!!!!!!!!!!!!!!!
Answer:
choice 1) 6 inches
Step-by-step explanation:
3 x 10 x ? = 180
? = 6
Which pair of trigonometric values is equivalent v
A. cos 113º, cos 67°
B. sin 71º, sin 19
C. cos 389, sin 38°
D.cos 65º, sin 25°
Answer:
D. Cos 65°,Sin 25°
Step-by-step explanation:
Since they are a pair of complementary trigonometric ratio. Complementary angles add up to 90° and so does 65° and 25°.
Answer B. did not qualify since they are from the same trigonometric ratio i.e sin.
For the following indefinite integral, find the full power series centered at x=0 and then give the first 5 nonzero terms of the power series.
f(x)=∫x9cos(x3) dx
Answer:
a. [tex]\displaystyle f(x) = \sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n + 10}}{(2n)!} + C_1[/tex]
b. [tex]\displaystyle P_5(x) = \frac{x^{10}}{10} - \frac{x^{16}}{16 \cdot 2!} + \frac{x^{22}}{22 \cdot 4!} - \frac{x^{28}}{28 \cdot 6!} + \frac{x^{34}}{34 \cdot 8!} + C_1[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationIntegration
IntegralsIndefinite IntegralsIntegration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Sequences
Series
MacLaurin Polynomials
MacLaurin Polynomial: [tex]\displaystyle P_n(x) = \frac{f(0)}{0!} + \frac{f'(0)}{1!}x + \frac{f''(0)}{2!}x^2 + \frac{f'''(0)}{3!}x^3 + \cdots + \frac{f^n(0)}{n!}x^n + \cdots[/tex]MacLaurin Series: [tex]\displaystyle P(x) = \sum^{\infty}_{n = 0} \frac{f^n(0)}{n!}x^n[/tex]Power Series
Power Series of Elementary FunctionsMacLaurin PolynomialsTaylor PolynomialsIntegration of Power Series:
[tex]\displaystyle f(x) = \sum^{\infty}_{n = 0} a_n(x - c)^n[/tex] [tex]\displaystyle \int {f(x)} \, dx = \sum^{\infty}_{n = 0} \frac{a_n(x - c)^{n + 1}}{n + 1} + C_1[/tex]Step-by-step explanation:
*Note:
You could derive the Taylor Series for cos(x) using Taylor polynomials differentiation but usually you have to memorize it.
We are given and are trying to find the power series:
[tex]\displaystyle f(x) = \int {x^9cos(x^3)} \, dx[/tex]
We know that the power series for cos(x) is:
[tex]\displaystyle cos(x) = \sum^{\infty}_{n = 0} \frac{(-1)^n x^{2n}}{(2n)!}[/tex]
To find the power series for cos(x³), substitute in x = x³:
[tex]\displaystyle cos(x^3) = \sum^{\infty}_{n = 0} \frac{(-1)^n (x^3)^{2n}}{(2n)!}[/tex]
Simplifying it, we have:
[tex]\displaystyle cos(x^3) = \sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n}}{(2n)!}[/tex]
Rewrite the original function:
[tex]\displaystyle f(x) = \int {x^9 \sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n}}{(2n)!}} \, dx[/tex]
Rewrite the integrand by including the x⁹ in the power series:
[tex]\displaystyle f(x) = \int {\sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n + 9}}{(2n)!}} \, dx[/tex]
Integrating the power series, we have:
[tex]\displaystyle f(x) = {\sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n + 10}}{(6n + 10)(2n)!}} + C_1[/tex]
To find the first 5 nonzero terms of the power series, we simply expand it as a MacLaurin polynomial:
[tex]\displaystyle P_5(x) = {\sum^4_{n = 0} \frac{(-1)^n x^{6n + 10}}{(6n + 10)(2n)!}} + C_1 = \frac{x^{10}}{10} - \frac{x^{16}}{16 \cdot 2!} + \frac{x^{22}}{22 \cdot 4!} - \frac{x^{28}}{28 \cdot 6!} + \frac{x^{34}}{34 \cdot 8!} + C_1[/tex]
Topic: AP Calculus BC (Calculus I + II)
Unit: Power Series
Book: College Calculus 10e
Use the diagram to find the measure of the given angle.
Answer:
50
Step-by-step explanation:
Which situation is best modeled with a division expression?
the total cost of 4 pints of strawberries that sell for $3 each the cost per pint of 3 pints of blueberries if the total cost was $6
the cost per pint of raspberries after applying a $1 coupon if the normal price was $3 each
the total cost of a pint of blackberries that sells for $3 and a pint of cherries that sells for $4
Answer:
B: the cost per pint of 3 pints of blueberries if the total cost is $6
Step-by-step explanation:
A is using multiplication
C is using addition and multiplication
D is using multiplication and addition.
Therefore, B would be your answer.
Hope this helps! :)
Answer:
Its B
Step-by-step explanation:
I got 100 on quiz
Solve the equation using the quadratic formula.
y2-8y + 17 = 0
The solution set is
Step-by-step explanation:
Formula is:
x=(-b± √b^2-4ac)/2a
a= 1
b= -8
c= 17
x= (-(-8)±√64-4(1)(17))/2
x= (8±√-4)/2
now
x1= (8+√-4)/2
x2=(8-√-4)/2
2. 5 Question A painter is placing a ladder to reach the third story window, which is 40 feet above the ground and makes an angle with the ground of 80°. How far out from the building does the base of the ladder need to be positioned? Round your answer to the nearest tenth. The base of the ladder needs to be positioned feet out from the building.
Answer:
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HELPPPP MEEE PLEEASSEEEE !!!
Answer:
67°
Step-by-step explanation:
Angle 67° and that at H are corresponding this are equal.
Therefore 67+46=113°
180-113=67 as the answer
PLEASE HELP
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Answer:
Step-by-step explanation:
because you know that the exponent is 20 and that is n*t... and you can see that n= 2 in the equation
you know it's been collecting interest for 10 years
If an object is dropped from a height of 178 feet, the function h(t)=-16t^2+178 gives the height of the object after t seconds. When will the object hit the ground?
A. 6.67s
B. 3.34s
C. 13.34s
D. 1.67 s
Answer:
B. 3.34s
Step-by-step explanation:
Find t when the object hit the ground, h(t)=0.
h(t)=-16t²+178
0=-16t²+178
16t²=178
t²=11.125
t=√11.125=3.33541601603s
(20 POINTS) The graph of f(x)= |x| is translated 2 units to the left and then horizontally stretched by a factor of 2. Determine the equation of the final graph.
Answer:
g(x) = Ix/2 + 1I
Step-by-step explanation:
First, let's describe the transformations in a general way.
Horizontal translation.
For a function f(x) a horizontal translation of N units is written as:
g(x) = f(x + N)
if N is positive, the translation is to the left.
If N is negative, the translation is to the right.
Horizontal stretch.
For a function f(x) a horizontal stretch of scale factor k is written as:
g(x) = f(x/k)
Then if we have the function f(x) = IxI
First we do a translation of 2 units to the left, then we have N = 2
The transformation is:
g(x) = f(x + 2)
Now we do a horizontal stretch by a factor of 2.
g(x) = f( (x + 2)/2=
g(x) = f( x/2 + 1) = Ix/2 + 1I
The equation of the final graph is:
g(x) = Ix/2 + 1I
How many unique roots are possible in a seventh-degree polynomial
function?
O A. 7
OB. 4
O C. 6
O D.5
Answer:
A. 7
Step-by-step explanation:
No.of unique roots are possible in a seventh-degree polynomial is 7
State fundamental theorem of AlgebraA polynomial of degree n can have at most n real roots. The Degree of Polynomial with one variable is largest power of that variable.For example, 3x^2+4x+2 = 0 have two roots since the equation degree 2.A real number p is a zero of a polynomial f(x),f(p) = 0.
Since seventh degree polynomial has degree 7, number of roots in a seventh-degree polynomial is 7.
Therefore, the number of unique roots are possible in a seventh-degree polynomial is 7.
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When Lucas first opened his bank account, he deposited x amount of
money in there. The second week, he deposited the same amount of
money in his bank account. Two weeks later, he wrote a check for $116
and ended up having -$6 in his balance. How much money did Lucas
deposit when he first opened his account?
Answer:
55
Step-by-step explanation:
Lucas went to the bank the first time with $55 and the second time with $55, when you add those togeother you get $110. Then he wrote a check for $116 and ended up having -$6...basically if you have $110 in all then you write a check for $116 you would have -$6 in your balance. 110-116 = -6
The residents of a city voted on whether to raise property taxes. The ratio of yes votes 3 to no votes was 5 to . If there were 2247 yes votes, what was the total number of votes?
Answer:
Total number of votes = 5,992
Step-by-step explanation:
Given:
Ratio of Yes and No = 3:5
Total number of yes votes = 2,247
Find:
Total number of votes
Computation:
Total number of votes = Total number of yes votes [(3+5)/3]
Total number of votes = 2,247[(8)/3]
Total number of votes = 5,992
What is the value of x?
Answer:
x = 27
Step-by-step explanation:
Based on the angle bisector theorem, we would have the following:
(x + 8)/10 = (2x - 5)/14
Cross multiply
14(x + 8) = 10(2x - 5)
14x + 112 = 20x - 50
Collect like terms
14x - 20x = -112 - 50
-6x = -162
Divide both sides by -6
-6x/-6 = -162/-6
x = 27
What is the domain of the function y= x+6 -7?
O X>-7
0 x>-6
O X>6
O X>7
Answer:
x>-6
Step-by-step explanation:
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Use a graphing calculator for the following problem. If using a Casio fx-9750GII, follow the steps outlined in the Lesson to determine the linear, quadratic, or exponential equation that best models the data. For a linear model, round the slope and y-intercept to the nearest integer. For a quadratic model, round the coefficients to the nearest integer. For an exponential model, round ato the nearest integer and b to the nearest tenth.
Elapsed Time Amount
1 58
2 34
3 20
4 14
5 7
6 4
7 2.5
The function is an exponential function and the function is, y = 100[tex]e^{-0.5x}[/tex].
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
Given:
We have the table.
Elapsed Time Amount
1 58
2 34
3 20
4 14
5 7
6 4
7 2.5.
We have drawn a graph from the points.
And the graph is given in the attached image.
Then the exponential function,
y = 100[tex]e^{-0.5x}[/tex].
Therefore, the function is y = 100[tex]e^{-0.5x}[/tex].
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Otis measured the heights of several sunflowers. He found that their heights were 4, 6, 7, 9, and 9 feet Otis found that the mean was 7 feet and the range was 5 feet Which numbers describe the center and spread of this data set? A. 4 feet describes the center, and 9 feet describes the spread. , B. 7 feet describes the center, and 5 feet describes the spread C. 9 feet describes the center, and 4 feet describes the spread D. 5 feet describes the center, and 7 feet describes the spread.
Answer:
B) 7 feet is the median (center) and 5 is the range (spread)
Step-by-step explanation:
spread is the difference between the largest and smallest numbers in the data set (9 - 4 = 5 in this case)
What are the vocabulary words for the other pairs (-2,0),(2,0)
Answer: Quadrant 3 and Quadrant 1
Step-by-step explanation: