9514 1404 393
Answer:
sum = ∑[n=1,5] 4^(n-4)
Step-by-step explanation:
First of all, you need to be able to describe the n-th term.
Here, we have ...
term #: 1, 2, 3, 4, 5
value: 4^-3, 4^-2, 4^-1, 4^0, 4^1
That is, the exponent of 4 is 4 less than the term number. So, the n-th term is 4^(n-4). The sum of the 5 terms shown is then ...
[tex]\displaystyle sum=\sum_{n=1}^5{4^{n-4}}[/tex]
The Unit Circle
In a unit circle, the sine of the angle is represented by the vertical leg of the triangle. What is represented by the horizontal leg of the triangle?
a. cosecant of the angle
b. tangent of the angle
c. cosine of the angle
d. cotangent of the angle
Please select the best answer from the choices provided
Answer:
c. cosine of the angle
Step-by-step explanation:
Cos = adj/hyp
in unit circle
cos = x/1
cos = x
x is the horizontal leg
Answer:
C. Cosine of the angle
Step-by-step explanation:
I calculated it logically
Plz ASAP help with question 15 I really need help
solve for c 2(3-2c)=30
Answer:
6-4c
Step-by-step explanation:
2(3-2c)
2×3+2×-2c
6+2×-2c
6-4c
Answer:
-6
Step-by-step explanation:
HELP ME PLEASEEEEEEEEEE
I hope this helps- i need to write words so here this lol yep yep have a nice day- :)
please help :((
Use the zeros and the labeled point to write the quadratic function represented by the graph. (1.4)
A. y= x2 - 5x + 6
B. y = 2x2 - 2x - 12
C. y = 2x2 - 10x + 12
D. y = 3x2 + 15x + 18
The quadratic function represented by the graph as given in the attached image is; Choice C; y = 2x² - 10x + 12.
What is the quadratic function represented by the graph?It follows from the task content that the quadratic function which is represented by the graph be determined.
Since the quadratic function can be modelled as follows; y = a (x - p) (x -q) where; a is a constant, and p and q are the roots of the quadratic function.
Hence, since it follows that the roots are 2 and 3; we have;
y = a (x - 2) (x -3)
Hence, to determine the value of constant, a, we must substitute the values defined by the point given; (1, 4) as follows;
4 = a (1 -2) (1 -3)
4 = a(-1) (-2)
4 = 2a
a = 2.
On this note, the required equation is; y = 2 (x - 2) (x - 3).
Ultimately, the required quadratic function is; Choice C; y = 2x² - 10x + 12.
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Use substitution. What is the solution to the system of equations? Use the drop-down menus to explain your answer.
y = 12x + 2
2y = x + 4
choose
The system of equations has no solution,infinitely many solutions, one solution The two equations represent parallel lines, the same lines, intersecting lines.
Answer:
The system of equations has one solution. The two equations are intersecting lines.
Step-by-step explanation:
if you want to use the substitution method, you would have to plug in y for 12x+2 in the second equation.
2(12x+2)=x+4
next, you have to distribute
24x+4=x+4
subtract 24x from each side
4=-23x+4
subtract 4 from each side
0=23x
divide each side by 23
x=0
now, plug in 0 to one equation.
y=12(0)+2
y=2
the lines intersect at one point, (0,2)
the parent cosine function is transformed to create the function m(x) =-2cos(x+π). which graphed function has the same amplitude as function m
Answer: Graph D
Step-by-step explanation: Got it right on plato
The graph of a function with the same amplitude as m(x) is graph D.
Which graphed function has the same amplitude as m(x)?
The general cosine function is written as:
f(x) = A*cos(kx) + M
Where A is the amplitude, k is the angular frequency, and M is the midline.
In our case:
m(x) = -2*cos(x+π).
The amplitude is -2, which means that the distance between a peak and a trough must be twice the absolute value of the amplitude:
2*|-2| = 4
With this in mind, the only graph that meets this requirement is the graph D.
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What are the first three terms of a geometric sequence in which as = 25 and the common ratio is 5?
1 1
1
25'5
25,125,625
1 1 1
25'125 '625
O 125, 25, 5
Mark this and return
Save and Exit
Next
Submit
Answer:
The first three terms are: 25, 125 and 625
Step-by-step explanation:
Given
[tex]a =25; r = 5[/tex]
Required
The first three terms
The nth term of a geometry progression is:
[tex]T_n =ar^{n-1[/tex]
So, we have:
First term: [tex]n = 1[/tex]
[tex]T_n =ar^{n-1[/tex]
[tex]T_1 =25 * 5^{1-1[/tex]
[tex]T_1 =25 * 5^0[/tex]
[tex]T_1 =25 * 1[/tex]
[tex]T_1 =25[/tex]
Second term: [tex]n = 2[/tex]
[tex]T_n =ar^{n-1[/tex]
[tex]T_2 =25 * 5^{2-1[/tex]
[tex]T_2 =25 * 5^{1[/tex]
[tex]T_2 =25 * 5[/tex]
[tex]T_2 =125[/tex]
Third term: [tex]n = 3[/tex]
[tex]T_n =ar^{n-1[/tex]
[tex]T_3 =25 * 5^{3-1[/tex]
[tex]T_3 =25 * 5^{2[/tex]
[tex]T_3 =25 * 25[/tex]
[tex]T_3 =625[/tex]
Answer: 25,125,625
Step-by-step explanation:
edg 2
You come across a box of perfume what should you do Amazon
Yolanda is planning out her square vegetable garden, One side 6 feet. How
can I represent the area with exponents?
Answer:
6^2
Step-by-step explanation:
A square has equal sides. The area of a rectangle or square is LxW. Since the length and width are the same it is squared or put to the power (exponent) of 2.
Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 10.
Answer:
The first option.
Step-by-step explanation:
You take the major vertical length and put it into this equation:
2a = 16
a/2 = 16/2
a = 8
You do the same with the minor length.
2b = 10
b/2 = 10/2
b = 5
You then switch the a^2 and the b^2 due to the fact that the veritcal length is longer than the horizontal. Then you use the formula to plug in 8 and 5.
(x - h)^2 / b^2 + (y - k)^2 / a^2 = 1
(x - h)^2 / 5^2 + (y - k)^2 / 8^2 = 1
I will give Brainiest if you are right
The answer is J. When the circle on the graph is filled in, that means that number is included in the solution.
25x </= 300
Divide both sides by 25
x </= 12
Answer: J
Number line J. beast represents the solution to the inequality.
Step-by-step explanation:
Have a nice day!
Give the other person brainliest! :-)
Of 36 chemical elements, 2 are named for women scientist and 25 are named for palces. What fraction of these 36 elements are named for women or place? Show your work
Answer:
27/36
Step-by-step explanation:
25 + 2 = 27
total = 36
a. Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases.
b. Eliminate the parameter to find a Cartesian equation of the curve.
x=1 + 3t, y= 2-t^2
Answer:
y = 2 - ( x - 1)²/9
Step-by-step explanation: See Annex
As the parameter t increases, the value of x increases and the value of y decreases, we get the figure of the annex ( the arrow in the Annex indicates the way of the curve with t increasing.
b) to eliminate the parameter:
x = 1 + 3*t (1) y = 2 - t² (2)
Then from equation (1) t = ( x - 1 ) / 3
plugging that value in equation (2)
y = 2 - [ ( x - 1 ) / 3 ]²
y = 2 - ( x² + 1 - 2*x)/9
9*y = 18 - x² + 1 - 2*x or y = 2 - ( x - 1)²/9
The curve is a parabol
To compute the necessary sample size for an interval estimate of a population proportion, all of the following procedures are recommended when p is unknown except :____________
a. use the sample proportion from a previous study.
b. use the sample proportion from a preliminary sample.
c. use 1.0 as an estimate.
d. use judgment or a best guess.
Answer:
c- use 1.0 as an estimate
Step-by-step explanation:
Find the measure of x.
SOMEONE PLEASE HELP
Using property simplify 472x96+472x4
Answer:
183136 is the correct answer
Probability distribution
Answer:
a) The value of q is 0.2.
b) E(X) = 1.85.
Step-by-step explanation:
Question a:
The sum of all the probabilities must be 1. So
[tex]0.3 + x + 0.1 + 0.15 + 0.25 = 1[/tex]
[tex]x + 0.8 = 1[/tex]
[tex]x = 0.2[/tex]
The value of q is 0.2.
Question b:
Multiplication of each value of x by its probability. So
[tex]E(X) = 0*0.3 + 1*0.2 + 2*0.1 + 3*0.15 + 4*0.25 = 1.85[/tex]
So the answer is E(X) = 1.85.
1. Alex was solving an equation with the variable x. Upon simplifying the equation, he
concluded that the equation has no solution. Which equation could be Alex's equation
after he simplified it?
B.
A X0
X2
C3=3
D4=5
Answer:did you get the answer yet cause I really need it
Step-by-step explanation: please y’all help this person answer the question
What is the value of the expression 1/7 divided by 5 ?
Answer:
It would be 1/35.
Step-by-step explanation:
You turn 5 into 1/5 and then multiply 1/7 with 1/5, which is 1/35.
The value of the expression 1/7 divided by 5 is,
⇒ 1 / 35
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The expression is,
⇒ 1/7 divided by 5
Now, We can simplify as;
⇒ 1/7 divided by 5
⇒ 1 / 7 ÷ 5
⇒ 1 / 7×5
⇒ 1 / 35
Thus, The value of the expression 1/7 divided by 5 is,
⇒ 1 / 35
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MATH MATH MATH MATHHHHHHHHHHHHHH
Answer:
1. Obtuse angle
2. 5
3. 117
Step-by-step explanation:
1. Any angle that is wider than 90 degrees is obtuse.
2. 180 = straight angle so, 180-140=40 8x5=40 so x=5
3. Supplementary angles are one angle that is 180 so, 180-63= 117
539,904 nearest 10 for my homwork
Answer:
539,900 if thats what you're looking for.
Step-by-step explanation:
Answer:
539900
Step-by-step explanation:
Please help I would be really happy:)
Determine the radius of a cone that has a volume of 230 ft' and a height of 15 ft.
Round the answer to the nearest tenth.
Answer:
the formula for finding cone volume is V=πr²× 1/3
Step-by-step explanation:
230=3.14×x²×1/3
we have to solve for X that is our radius
14.8
Answers ASAP please I really need it
Answer:
x = 50
Step-by-step explanation:
Answer:
x = 50
Step-by-step explanation:
180 - 75 = 105
2x + 5 = 105
now I subtracted both sides by 5
2x = 100
divide both sides by 2:
x = 100/2
x = 50
Have a nice day!
Easton is deciding between two landscaping companies for his place of business.
Company A charges $25 per hour and a $150 equipment fee. Com piny B charges $35
per hour and a $100 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge fort hours of landscaping. Write an equation for each situation, in terms oft,
and determine the number hours, t, that would make the cost of each company the
same.
Answer:
i. A = $25 t + $150
ii. B = $35 t + $100
iii. Number of hours = 5
Step-by-step explanation:
For company A:
A = $25 t + $150
where A is the amount charged and t is the number of hours of landscaping.
For company B:
B = $35 t + $100
where B is the amount charged and t is the number of hours of landscaping.
When the time is 5 hours, then:
i. A = $25 t + $150
= $25 (5) + $150
= $125 + $150
A = $275
ii. B = $35 t + $100
= $35(5) + $100
= $175 + $100
B = $275
Therefore, the number of hours that would make the cost of each company to be the same is 5 hours.
can someone help me pls
Answer:
[tex]x = 55°[/tex]
Step-by-step explanation:
L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.
[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]
Solve the equation. I just want an answer that is correct. I'm don't understand how to solve this.
Answer:
2222333344445555666677778888
Step-by-step explanation:
I don't see the thing
Sara was thinking of a number. Sara divides by 2, then adds 10 to get an answer of 6. What was the original number?
Answer:
The original number was -8
Step-by-step explanation:
You can find this out because -8 divided by 2 is -4 and then plus 10 would become 6
Answer:
-8
Step-by-step explanation:
We know that Sara has a number by which she divides by 2, added 10 and ended up with 6. We are then asked to find the original number she had in mind.
To solve, we need to go backwards, starting with the original number, and applying all the steps she did but with the opposite operation.
6 is her ended number, we know before she added 10, so subtract 10 from 6:
[tex]6-10=-4[/tex]
Now we know that she divided by 2, therefore multiply -4 by 2:
[tex]-4*2=-8[/tex]
-8 was Sara's first number.
A graphic designer creates a logo in the shape of an ellipse. The equation x^2/64 + y^2/14.44 = 1, with units in centimeters,
represents the outer edge of the logo. How tall is the logo?
a. 3.8 cm
b. 7.6 cm
c. 8 cm
d. 16 cm
Using the equation of ellipse, the height of the logo is 7.6cm
What is equation for ellipse?The equation of ellipse having a center (h, k) is given as;
[tex]\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1[/tex]
where a is the semi-major axis and b is the semi-minor axis. The major axis is the longer of the two axes, and the minor axis is the shorter of the two axes. The center of the ellipse is the point (h, k).
The graph of an ellipse is a closed curve that is similar to a circle, but it is not a circle. The ellipse is wider than it is tall if a > b, and it is taller than it is wide if a < b.
In the given problem;
The equation for an ellipse is
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1,[/tex] where a is the semi-major axis and b is the semi-minor axis. In this case, a = √64 = 8 and b = √14.44 = 3.8
Since b = 3.8, the height of the logo = 2b = 2 * 3.8 = 7.6cm
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