Answer:
[tex]y=2[/tex]
Step-by-step explanation:
In [tex]y=a\cos(bx-c)+d[/tex], [tex]d[/tex] represents the vertical shift. The midline of the function is given by [tex]y=d[/tex], because the parent function [tex]y=\cos x[/tex] has a midline at [tex]y=0[/tex]. Therefore, the midline of the function [tex]y=\cos (\frac{2\pi}{3}x)+2[/tex] is [tex]\boxed{y=2}[/tex]
The cost to make a path connecting all four landmarks is based on the proposal shown. The cost of path A is $29. The cost of path B is $59 The cost of path C is $32 The cost of path D is $38 Find the cost of the minimum spanning tree to connect all four landmarks?
Answer:
158
Step-by-step explanation:
The cost of the minimum spanning tree to connect all four landmarks will be $158.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The cost to make a path connecting all four landmarks is based on the proposal shown.
The cost of path A is $29.
The cost of path B is $59.
The cost of path C is $32.
The cost of path D is $38.
Then the cost of the minimum spanning tree to connect all four landmarks will be
Total cost = cost of path A + cost of path B + cost of path C + cost of path D
Total cost = $29 + $59 + $32 + $38
Simplify the expression, then we have
Total cost = $29 + $59 + $32 + $38
Total cost = $158
More about the Algebra link is given below.
https://brainly.com/question/953809
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Carrie works due south of her apartment. Her friend Sarah works due east of the
apartment. They leave for work at the same time. By the time Carrie is 5 miles from
their apartment the distance between them is 1 mile more than Sarah's distance
from the apartment. How far from the apartment is Sarah?
Answer:
3 miles
Step-by-step explanation:
5-1+2=3
From the calculation done using the pythagoras theorem, the distance from Sarah's apartment is 12m
What is the pythagoras theoremThis theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Using the pythagoras theorem
BC² = AB² + AC²
The sides of the triangle are x, x - 1 and 5
x² = (x-1)² + 5²
x² = (x-1)(x-1) +25
x² = x²-x-x -1 + 25
collect like terms
2x = 24
divide through the equation by 2
x = 24/2
= 12m
Read more on distance here: https://brainly.com/question/2854969
Helppppppppp
What is the solution to the equation below ?
Answer: x=3
Step-by-step explanation:
First we're going to get rid of the fraction by multiplying both sides by the square root of x-2
Now square both sides
[tex](\sqrt{3x })^2=3^2(\sqrt{x-2 })^2\\3x=9(x-2)[/tex]
Next use the distributive property
[tex]3x=(9)(x)-(9)(2)\\3x=9x-18[/tex]
Now subtract 9x from both sides
[tex]3x-9x=9x-18-9x\\-6x=-18[/tex]
Finally divide -6 on both sides
[tex]\frac{-6x}{-6} =\frac{-18}{-6} \\x=3[/tex]
What are the pair of interior and exterior angles called?
Answer:
On the same side of the transversal, a pair of matching angles can be found. One outer angle and one internal angle make up the appropriate pair of angles. All related angles are not created equal. If the transversal connects two parallel lines, the corresponding angles are equal.
Step-by-step explanation:
Juan borrowed $1500 from a credit union for 7 years and was charged simple interest at a rate of 2.97%. What is the amount of interest he paid at the end of the loan
Answer:
The amount of interest he paid at the end of the loan is $ 311.85.
Step-by-step explanation:
Given that Juan borrowed $ 1500 from a credit union for 7 years and was charged simple interest at a rate of 2.97%, to determine what is the amount of interest he paid at the end of the loan, the following calculation must be performed:
(1500 x 0.0297) x 7 = X
44.55 x 7 = X
311.85 = X
Therefore, the amount of interest he paid at the end of the loan is $ 311.85.
solve for x below in the equation
Answer:
Step-by-step explanation:
7x + 2x =90 (being perpendicular)
9x =90
x =90/9
x =10
substiute the value of x
7x
=7*10
=70
2x
=2*10
=20
Answer:
x = 10
Step-by-step explanation:
See image. Due to the logic of vertically opposite angles (when one angle is equal to the other that is "vertically opposite" to it), the two angles that I have marked in the diagram are going to equal.
Therefore, if we were to write it out:
2x + 7x = 90
(vertically opposite angles)
9x = 90
∴ x = 10
Mary Jogs 425 miles in 17 hours. How far can she jog in 12 hours 
Answer:
300 miles
Step-by-step explanation:
425 / 17 = 25
25×12=300
HELP I WILL GIVE BRAINLYEST PLSSS HELP
Answer:
The answer is 0.5
Answer:
rhe answer is r= .50
Step-by-step explanation:
125-75=50
Find the polynomial of minimum degree, with real coefficients, zeros at x=4+4i and x=2, and y-intercept at 64
Answer:
[tex]\displaystyle -x^3+10x^2-48x+64[/tex]
Step-by-step explanation:
We want to find the minimum-degree polynomial with real coefficients and zeros at:
[tex]x= 4+4i\text{ and } x = 2[/tex]
As well as a y-intercept of 64.
By the Complex Root Theorem, if a + bi is a root, then a - bi is also a root.
So, a third root will be 4 - 4i.
The factored form of a polynomial is given by:
[tex]P(x)=a(x-p)(x-q)...[/tex]
Where a is the leading coefficient and p and q are the zeros. More factors can be added if necessary.
Substitute:
[tex]P(x)=a(x-(2))(x-(4+4i))(x-(4-4i))[/tex]
Since we want the minimum degree, we won't need to add any exponents.
Expand the second and third factors:
[tex]\displaystyle \begin{aligned} (x-(4+4i))(x-(4-4i))&=(x-4-4i)(x-4+4i) \\ &= x(x-4-4i)-4(x-4-4i)+4i(x-4-4i)\\ &=x^2-4x-4ix-4x+16+16i+4ix-16i-16i^2\\ &= x^2-8x+32\end{aligned}[/tex]
Hence:
[tex]P(x)=a(x-2)(x^2-8x+32)[/tex]
Lastly, we need to determine a. Since the y-intercept is y = 64, this means that when x = 0, y = 64. Thus:
[tex]64=a(0-2)(0^2-8(0)+32)[/tex]
Solve for a:
[tex]-64a=64\Rightarrow a=-1[/tex]
Our factored polynomial is:
[tex]P(x)=-(x-2)(x^2-8x+32)[/tex]
Finally, expand:
[tex]\displaystyle \begin{aligned} P(x) &=-(x^2(x-2)-8x(x-2)+32(x-2)) \\&=-(x^3-2x^2-8x^2+16x+32x-64)\\&=-(x^3-10x^2+48x-64)\\&= -x^3+10x^2-48x+64\end{aligned}[/tex]
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!!
If the measure of 0 is 90, then angle B=____
Multiple choice!
Thank you!!!
Answer:
angle B is 45 degree.
Step-by-step explanation:
since both radius are equal in a circle the triangle formed is ann isosceles triangle.
base angle of an isosceles triangle are equal
angle B be x
angle A = angle B (being base angles of a triangle)
then angle A is also x
angle A + angle B + angle C =180 degree (sum of interior angles of a triangle)
x + x + 90=180
2x =180-90
x=90/2
x=45 degree
y=1/2x-6 x=-4
What is the solution to the system of equations?
(–8, –4)
(–4, –8)
(–4, 4)
(4, –4)
Answer:
the answer to the system of equations is (-8,-4).
Answer:
B. (-4, -8)
Step-by-step explanation:
y = 1/2x - 6
x = -4
We already know the value of x, so let's plug it into the first equation.
y = 1/2x - 6
y = 1/2(-4) - 6
Multiply.
y = -2 - 6
Subtract.
y = -8
Your solution is (-4, -8).
Hope this helps!
Construct the sampling distribution of the sample means.?
Answer:
The Sampling Distribution of the Sample Mean. If repeated random samples of a given size n are taken from a population of values for a quantitative variable, where the population mean is μ (mu) and the population standard deviation is σ (sigma) then the mean of all sample means (x-bars) is population mean μ (mu).
Step-by-step explanation:
Fatima wants to mail three parcels to three village school she finds that the postal charges are rupees 20 rupees 28 and 36 respectively if she wants to buy stamps only of one denomination what is the greatest denomination of stamp she must buy to mail the three parcels
Answer:
84
Step-by-step explanation:
god bless stay safe po
All of the benches in a park are red or blue. The ratio of red benches to blue benches in the park is 3 : 4. Based on this information, which of the following statements is true?
A. For every 4 benches in the park, 3 are red.
B. For every 7 benches in the park, 4 are red.
C. For every 3 red benches in the park, there are 4 blue benches.
D. For every 3 red benches in the park, there are 7 blue benches.
(I'll give brainly, likes, follow, etc for anybody who answers this question with some explanation.)
Answer:
The answer is C
Step-by-step explanation:
3 : 4
^ ^
II II
red blue
PLEASE HELP
Libby flips a quarter 2 times in a row.
What is the probability of the quarter landing on heads at least 1 time?
A. 1/4
B. 1/3
C. 3/4
D. 1/2
Do anyone know this youll get 20 points
Answer:
A. Acute
B. 80 degrees
Step-by-step explanation:
If 25% = 1 over 4. what fraction is 12.5%?
Whose answer will be the best will be marked as the brainlest
Answer:- Hey Buddy! Hope this helps:-
12.5%= 125/10 and when simplified becomes 25/2
pls mark brainliest
Shawn thinks that helium prices next year might increase by 10%. He plans to buy 7 small balloons and x large balloons. He creates the following equation to find the total price for next year’s helium:P
Answer:
P = 7.7 C + 1.1 XC
Step-by-step explanation:
From the question, it is noted that the price of helium required to fill each of the balloons would increase by 10%. Let the current price of helium be C, so that;
10% of C = 0.1 C
The price of helium next year = C + 0.1 C
= 1.1 C
Cost of 7 small balloons = 1.1 C * 7
= 7.7 C
Cost of X large balloons = 1.1 C * X
= 1.1 XC
The total price, P for helium next year = 7.7 C + 1.1 XC
Thus, the equation to find the total price of helium that would fill the balloons next year is;
P = 7.7 C + 1.1 XC
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.
Which expression has the greatest value?
A: 16 3/2
B: √16^2
C: 3√64^2
D: 3√8^4
Answer:
16 3/2
Step-by-step explanation:
So lets go thru each one.
16 3/2 is just 17.5
A square root cancels out a square.
A cubed root cancels out a cube.
So, in the next answer:
16 squared, to the square root is just 16, since the squaring and root cancels out.
64 sqaured to the cube root must be 16. Lets break it all down:
2^6=64. We need to square this, so we can rewrite it as:
64^2 = [tex](2^6)^2[/tex]
Normally we add/subtract exponents, but since the 6 exponent is in parethesese, it is multiplied by the 2 exponent. This makes it 2^12. So we can rewrite [tex]\sqrt[3]{64^2}[/tex] as:
[tex]\sqrt[3]{2^1^2}[/tex]
Now, when we divide a exponent by a exponent, we subtract.
However, when we root a exponent, it is division.
So it is the 2 [tex]\frac{^1^2}{^3}[/tex]
=
[tex]2^4[/tex]
Or
16
Finally we have the cubed root of 8^4.
using the same steps as above, 8^4 = [tex](2^3)^4[/tex]. This equals [tex]2^1^2[/tex]
Then again, we cube root it.
This is division of the 12 exponent by the 3 root, so we get:
[tex]2^4[/tex]
=
16
So in the end:
A - 17.5
B - 16
C - 16
D - 16
So a is the largest number
Hope this helps!
The sides of the cuboid are 20cm 5cm and 10cm what is the surface area
Answer:
The formula for calculating the surface area of a cuboid is as follows.
Surface Area of Cuboid = 2lw + 2lh + 2hw
Where,
l = Length = 20cmw = Width = 5cmh = Height = 10cmTherefore,
Surface Area of Cuboid = (2 x 20 x 5) + (2 x 20 x 10) + (2 x 10 x 5)
= 200 + 400 + 100
= 700 [tex]cm^{2}[/tex]
A school class of 120 students is driven in 3 buses to a symphonic performance. There are 36 students in one of the buses, 40 in another, and 44 in the third bus. When the buses arrive, one of the 120 students is randomly chosen. Let X denote the number of students on the bus of that randomly chosen student, find E(X).
Answer:
40.2667
Step-by-step explanation:
P(X=36)= 36/120
P(X=40)= 40/120
P(X=44)=44/120
E(X) = 36(36/120)+40(40/120)+44(44/120)=1208/30=40.2667
hope this helps
If a school class of 120 pupils is transported by three buses to a symphonic concert, the value of E(X) is 40.26.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
A school class of 120 students is driven in 3 buses to a symphonic performance.
There are 36 students on one of the buses, 40 on another, and 44 on the third bus.
From the data given:
Let X be the total number of passengers on the bus carrying that randomly selected student,
Total number of students = 120
Let:
Probability:
P(X = 36) = 36/120
Probability:
P(X = 40)= 40/120
Probability:
P(X = 44)=44/120
E(X) = 36(36/120) + 40(40/120) + 44(44/120)
E(X) = 1208/30
E(X) = 40.26
Therefore, if a school class of 120 pupils is transported by three buses to a symphonic concert, the value of E(X) is 40.26.
Learn more about the probability here:
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What is the measure of each angle of a regular 24-gon? If necessary, round to the
nearest tenth.
Answer:
165°
Step-by-step explanation:
Find the interior angle measure by using the formula, ((n - 2) x 180°) / n
Plug in 24 as n:
((n - 2) x 180°) / n
((24 - 2) x 180°) / 24
(22 x 180°) / 24
3960 / 24
= 165
So, the measure of each angle is 165°
Answer:
163.6
Step-by-step explanation:
180•(22-2)=180•20 =3600
3600/22= 163.636363…
NEED HELP ASAP!!
use the vertical line test to determine if the relation whose graph is provided is a function
(graph and answers pictured)
Answer:
Yes, this graph represents a function
Step-by-step explanation:
The function passes the vertical line test, which tests for if any input has more than one unique output by moving a vertical line from left to right. If the vertical line doesn't pass 2 or more points at a time, then the function is indeed a function.
Answer:
The graph does represent a function
Step-by-step explanation:
The function is at about 30y = x^3
There are 28 chocolate-covered peanuts in 1 ounce (oz). Jay bought a 62 oz. jar of chocolate-covered peanuts.
Problem:
audio
How many chocolate-covered peanuts were there in the jar that Jay bought?
Enter your answer in the box.
Answer:
1,736 chocolate cover peanuts
Step-by-step explanation:
do 28×62 hope this helps
Answer:
1736 chocolate-covered peanuts
Step-by-step explanation:
[tex]\frac{1}{62} :\frac{28}{y}[/tex]
1 · y = 62 · 28
y = 1736
which statement is true about the equation (x-4)(x+2)=16
Answer:
The factored form of the equation is (x + 4)(x – 6) = 0.
Find the length of AB and round answer to the nearest hundredth
Answer:
AB ≈ 11.17 m
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{80}{360}[/tex]
= 2π × 8 × [tex]\frac{8}{36}[/tex]
= 16π × [tex]\frac{2}{9}[/tex]
= [tex]\frac{32\pi }{9}[/tex] ≈ 11.17 m ( to the nearest hundredth )
Some triangles can have more than one obtuse angle. A. True B. False
Answer:
True
Step-by-step explanation:
What is the distance between A(-8, 4) and B(4, -1)?
Answer:
The distance between A(-8, 4) and B(4, -1) is 13 units.
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula given by:
[tex]\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
We have the two points A(-8, 4) and B(4, -1). Let A(-8, 4) be (x₁, y₁) and let B(4, -1) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(4-(-8))^2+(-1-4)^2}[/tex]
Evaluate:
[tex]d=\sqrt{(12)^2+(-5)^2}[/tex]
So:
[tex]d=\sqrt{144+25}=\sqrt{169}=13\text{ units}[/tex]
The distance between A(-8, 4) and B(4, -1) is 13 units.
___________________________________
Problem:What is the distance between A(-8,4) and B(4,-1)Given:[tex]\quad\quad\quad\quad\tt{A.) x\tiny{1}\small{=-8}, y\tiny{1}\small{=4}}[/tex]
[tex]\quad\quad\quad\quad\tt{B.) x\tiny{2}\small{=4}, y\tiny{2}\small{=-1}}[/tex]
Formula for distance (d):[tex]\quad\quad\quad\quad\tt{d = \sqrt{(x \tiny{2} \small{ - x \tiny{1} \small {)}^{2} + (y \tiny{2} \small{ - y \tiny{1} \small{)}^{2} } }}} [/tex]
Solution:[tex]\quad\quad\quad\quad\tt{d = \sqrt{(4 - \small{ (- 8}{))}^{2} + ( \small{- 1)}\small{ - {4)}}^{2} }}[/tex]
[tex]\quad\quad\quad\quad\tt{d = \sqrt{ ( {12)}^{2} + {( -5)}^{2} }}[/tex]
[tex]\quad\quad\quad\quad\tt{d = \sqrt{ {144} + {25}}}[/tex]
[tex]\quad\quad\quad\quad\tt{d = \sqrt{ 169}}[/tex]
[tex]\quad\quad\quad\quad\tt{d = 13}[/tex]
So the final answer is:[tex]\quad\quad\quad\quad\boxed{\boxed{\tt{\color{magenta}d = 13}}}[/tex]
___________________________________
#CarryOnLearning
✍︎ C.Rose❀
why does my teacher have a lisp man its so annoying
Answer:
She is born with it. So be nice to here and don't talk about here lisp. If you do you would become here favorit. Don't talk bad about here behind here back.
Step-by-step explanation:
Lisp is a family of programming languages with a long history and a distinctive, fully parenthesized prefix notation. Originally specified in 1958, Lisp is the second-oldest high-level programming language in widespread use today. Only Fortran is older, by one year.
Consider the following data. 15,−4,−10,8,14,−10,−2,−11
Step 1 of 3: Determine the mean of the given data
Step 2 of 3: Determine the median of the given data.
Step 3 of 3: Determine if the data set is unimodal, bimodal, multimodal, or has no mode. Identify the mode(s), if any exist.
Answer:
(a) The mean is 0
(b) The median is -30
(c) The mode is unimodal
Step-by-step explanation:
Given
[tex]Data: 15,-4,-10,8,14,-10,-2,-11[/tex]
Solving (a): The mean.
This is calculated using:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x =\frac{15-4-10+8+14-10-2-11}{8}[/tex]
[tex]\bar x =\frac{0}{8}[/tex]
[tex]\bar x =0[/tex]
Solving (b): The median
First, arrange the data
[tex]Sorted: -11,-10, -10, -4, -2,8,14,15[/tex]
There are 4 elements in the dataset. So, the median is the mean of the 4th and 5th item.
[tex]Median = \frac{-4-2}{2}[/tex]
[tex]Median = \frac{-6}{2}[/tex]
[tex]Median = -3[/tex]
Solving (c): The mode
The item that has occurs most is -10.
Hence, the mode is -10. The dataset is unimodal because it has only 1 mode (-10).
