Answer: [tex]\bold{B)\quad y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]
Step-by-step explanation:
A sin graph is a cosine graph shifted to the left [tex]\dfrac{\pi}{2}[/tex] units.
[tex]y=4cos\bigg(\dfrac{3}{2}x + \dfrac{\pi}{6}\bigg)\qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{\pi}{6}+\dfrac{\pi}{2}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{4\pi}{6}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \quad \implies \large\boxed{y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]
Write an equation of a line with the given slope and y-intercept. m = 1/4 b = - 3/4
For this case we have that the equation of the line of the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cutoff point with the y axis
We have as data that:
[tex]m = \frac {1} {4}\\b = - \frac {3} {4}[/tex]
Substituting:
[tex]y = \frac {1} {4} x- \frac {3} {4}[/tex]
Answer:
[tex]y = \frac {1} {4} x- \frac {3} {4}[/tex]
Evaluate 29 • 1 + 2(20 ÷ 4 – 5
Answer:
29
Step-by-step explanation:
the rule PEMDAS means first use the parentheses, ( , )
so order of operation, first you do parentheses, 20/4=5 then 5-5=0
so that is the parentheses now take core of stuff outside of parentheses and 29 x 1=29
P= parentheses
E = Exponents
M= multiply
D = divide
A= addition
S= subtract
also know as order of operation!
hope this helps. please mark brainliest! have a good day
The value of expression 29 • 1 + 2(20 ÷ 4 – 5)= 29
What is PEDMAS?The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
To solve the given expression we will use:
The PEMDAS rule means
P= Parentheses
E = Exponents
M= multiply
D = divide
A= addition
S= subtract
first we do parentheses,
29 • 1 + 2(20 ÷ 4 – 5)= 29.1+2(5-5)
= 29.1+2(0)
= 29.1+0
=29
Thus, 29 • 1 + 2(20 ÷ 4 – 5) =29
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A youth soccer association raised $5145 in fund-raising projects. There were expenses of $777 that had to be paid first, with the balance of the money divided evenly among the 14 teams. How much did each team receive?
Answer:
Each team recieved $312
Step-by-step explanation:
You will take $5145 - 777 = 4368 which is the balance
4368 of the balance ÷ 14 teams =312
each team received $312
After paying the expenses of $777 from the fund-raising total of $5145, $4368 was left. When this amount was divided evenly amongst 14 soccer teams, each team received $312.
Explanation:To solve the problem, we first need to subtract the expenses from the total fund-raising amount. This gives us $5145 - $777 = $4368.
After the expenses are taken into consideration, the remaining money is divided evenly among the 14 soccer teams. This is calculated by taking the remaining money and dividing it by the number of teams, $4368 ÷ 14 = $312.
So, each team will receive $312 after all the expenses are paid.
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Elizabeth buys a circular rug with a lace border. The lace is 12.56 feet long.
What is the diameter of the rug? Round to the nearest whole number. (Use 3.14 for pi.)
Answer:
The diameter of the rug is [tex]4\ ft[/tex]
Step-by-step explanation:
we know that
The circumference of a circle (circular rug) is equal to
[tex]C=\pi D[/tex]
where
D is the diameter of the circle
In this problem we have
[tex]C=12.56\ ft[/tex]
substitute in the formula and solve for D
[tex]12.56=(3.14)D[/tex]
[tex]D=12.56/(3.14)=4\ ft[/tex]
Can somebody teach me inscribed angles! My 40 question summarize on circles in geometry is today and I need help on everything!
Inscribed angles are pretty easy, they're always half the corresponding central angle. The arc measure are always of central angles.
1. We're told to arc is 62 degrees so the inscribed angle is half,
WXY = 31 degrees.
2. Here we're told the inscribed angle is 113 degrees so the arc is double,
DGF=226 degrees
3. Angles which subtend a diameter are always right angles.
PQR = 90 degrees
4. If we draw DC we see it's a radius too, so DC=DB and we have an isosceles triangle so DCB=47 degrees so BDC=180-47-47=86. The central angle is the arc measure so
BC=86 degrees
5. Angle JNK=53 degrees and angles NJK=NKJ because we have an isosceles triangle, two sides radii. So NKJ=(180-53)/2.
Similarly NKL=(180-65)/2
So angle JKL=NKJ+NKL=180 - (65+53)/2 = 180 - 118/2 = 121 degrees
I better leave the rest for you.
An inscribed angle is formed by two secant lines intersecting on a circle's circumference and is half the measure of the central angle intercepting the same arc. Fundamental theorems like the Pythagorean theorem and mnemonic SOHCAHTOA are important in geometry, especially when dealing with circles and triangles.
Explanation:An inscribed angle is formed when two secant lines of a circle intersect on the circle's circumference. The value of an inscribed angle is always half the measure of the central angle that intercepts the same arc.
This is a foundational concept in geometry that is often linked to other geometric properties and theorems, such as the relationship between angles and arcs, and the behavior of angles within and outside of circles.
Knowing how to work with inscribed angles is crucial, particularly when dealing with problems involving circles.
For example, if you know the measure of the central angle, you can easily find the inscribed angle by dividing the central angle by 2. Recall other basic geometrical facts, such as the Pythagorean theorem, which states that in a right triangle, a² + b² = c² (where c is the hypotenuse), and the mnemonic SOHCAHTOA which helps remember the relationships of sides and angles in right triangles.
To help visualize these concepts, sketching triangles and remembering that the angles of a triangle sum up to 180 degrees can be helpful. Plane geometry forms the basis for understanding these principles, which is essential in tackling more advanced problems in circles and other geometric figures.
Jana finished 1/4 of her homework at school and 2/3 of it before dinner how much of her homework has she finished so far
Answer:
11/12
Step-by-step explanation:
1/4+2/3
1/4×3/3+2/3×4/4
3/12+8/12
I have no clue help!?
Answer:
Corresponding angles theorem.
Step-by-step explanation:
The corresponding angles theorem states that corresponding angles are congruent.
Pretty much means that every other angle is congruent if two lines are parallel and a line traverses them.
Answer: angle 2 and angle 6 are both corresponding angles
Step-by-step explanation:
If the two angles are matching corners, they are corresponding to one another. Hope this helps and have a good day:)
Please help!!!! 15, 17, 21
Explanation:
15. x = 148°, z = 32°
In a parallelogram, adjacent angles are supplementary, so must add to 180°. That also means opposite angles are congruent.
___
17. x = 8, y = -3
The diagonals bisect each other, so ...
2x -4 = 12
x = (12 +4)/2 = 8
and ...
y +10 = 7
y = 7 -10 = -3
__
21. The diagonals of a parallelogram bisect each other, so their point of intersection is their midpoint. The midpoint of WY can be computed as ...
P = (W+Y)/2 = ((-3, 5) +(3, 1))/2 = (0, 6)/2 = (0, 3)
The diagonals intersect at (0, 3).
What is the range of the following relation?
{(5,0), (6, -1), (1, 4), (0,5), (2,3)}
ANSWER
The range is
{-1,0,1,3,4,5}
EXPLANATION
The relation is given to us as an ordered pair.
The range is the set of all the y-values of the relation.
We list the set of all the values in ascending order without any repetition.
We then obtain the range as:
{-1,0,1,3,4,5}
Complete the following statement ( round your answer to the nearest hundredth)
f(7)=
Okay so in this question it says to solve f(7). This means to plug in the 7 every where you see an x, so that it looks like this: [tex]\frac{3}{7+2} -\sqrt{7-3}[/tex]Then you'll solve it like a normal equation.
Hope this helped! Let me know if there is anything I need to clarify or explain more in depth!
Answer:
- 1.67
Step-by-step explanation:
To evaluate f(7) substitute x = 7 into the expression
f(7) = [tex]\frac{3}{7+2}[/tex] - [tex]\sqrt{7-3}[/tex]
= [tex]\frac{3}{9}[/tex] - [tex]\sqrt{4}[/tex]
= [tex]\frac{1}{3}[/tex] - 2
= [tex]\frac{1}{3}[/tex] - [tex]\frac{6}{3}[/tex]
= - [tex]\frac{5}{3}[/tex] ≈ - 1.67
Help me please
a34=
1
3
8
ANSWER
[tex]a_{34} = 8[/tex]
EXPLANATION
The given matrix is a 4 by 4 matrix.
The entry in the intersection of the first third row and the fourth column is denoted
[tex]a_{34}[/tex]
This entry is 8.
Check the attachment for how we got the 8.
Therefore
[tex]a_{34} = 8[/tex]
Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
A. a
B. b
C. c
D. d
Point c.
You can graph the two points in a calculator to find out the answer OR you can identify the lines using the y-intercept aka b in the y=mx+b format.
Y=x - 3 has a y-intercept of -3, so look for the line where it goes through -3 on the y axis. (do the same for the other except when the y-intercept is 1)
From this, you can identify the lines and just find where they intersect.
Answer:
CCCCCCCCCCCCCC
Step-by-step explanation:
What do you get when you tip a fortune teller
Final answer:
Tipping a fortune teller involves giving them a gratuity as a gesture of appreciation for their service.
Explanation:
When you tip a fortune teller, you are giving them a gratuity or extra money as a gesture of appreciation for their service. Tipping is a common practice in various service industries, including fortune-telling. It is a way to show gratitude for the insights or entertainment provided by the fortune teller.
If ƒ={(5, 1),(6, 2),(7, 3),(8, 1),(9, 7)}, then the range of ƒ is {(1, 5),(2, 6),(3, 7),(1, 8),(7, 9)} {1, 2, 3, 7} {5, 6, 7, 8, 9}
Answer:
{1,2,3,7}
Step-by-step explanation:
The range of a relation is the set of y-values of the ordered pairs.
The given relation is:
ƒ={(5, 1),(6, 2),(7, 3),(8, 1),(9, 7)},
The set of y-values of the given ordered pairs are;
{1,2,3,7}
Therefore the range of y is {1,2,3,7}
Answer:
{[tex]1, 2, 3, 7[/tex]}
Step-by-step explanation:
Imagine fucntions as little machines that turn one number into another. The numbers that enter are called domain and the numbers that go out are called range. In this excercise we are given the couples of numbers that go in and out of the machine. Like this:
[tex](NumberIn,NumberOut)[/tex]
So the range of this function will be all the number going out of the function
(NumberOut) and this are:
{[tex]1, 2, 3, 7[/tex]}
which is the correct simplified form of the expression x^1/2y^-1/3/x^1/4y^1/2
Answer : x^1/2 y -1/3/x^/4 cdot y^1/2= y^1/3
Step-by-step explanation: Hope this helps !!!
Plz give me 5 star & thanks! :}
If f(x)=5x-25 and g(x)=1/5x+5, which expression could be used to verify g(x) is the inverse of f(x)?
Final answer:
The expression to verify that g(x) is the inverse of f(x) is to check if f(g(x)) = x and g(f(x)) = x. When we calculate both expressions for the given functions, they both simplify to x, which confirms that g(x) is the inverse of f(x).
Explanation:
To verify that g(x) is the inverse of f(x), we need to show that composing f with g yields the identity function. In other words, f(g(x)) should equal x, and vice versa, g(f(x)) should also equal x. For the given functions, f(x) = 5x - 25 and g(x) = 1/5x + 5, let's compute f(g(x)) and g(f(x)).
To find f(g(x)), we substitute g(x) into f(x):
f(g(x)) = f(1/5x + 5) = 5(1/5x + 5) - 25 = x + 25 - 25 = x
Next, to find g(f(x)), we substitute f(x) into g(x):
g(f(x)) = g(5x - 25) = 1/5(5x - 25) + 5 = x - 5 + 5 = x
Since both f(g(x)) and g(f(x)) equal x, we can conclude that g(x) is indeed the inverse of f(x).
HELP ME PLEASE!!!!
The system of equations is equal at approximately
(1.5,1.2)
(-1.5,-1.2)
(1.5,-1.2)
(-1.5,1.2)
Answer:
option A
(1.5,1.2)
Step-by-step explanation:
Given in the question two equations
Equation 1
y = √x
Equation 2
y = x²- 1
Equate both equations
√x = x²- 1
1 method by plotting graphWe can see from the graph that both meets when x = 1.5 and y = 1.2
2 methodwe can plug the options given one by one to see which points satisfy
one thing we know is that x ≠ any negative value since
y = √x and square root of negative value is not possible
so option b and c are rejected
option A
√1.5 = y = 1.2
1.5²- 1 = y = 1.2
a shopper gives a cashier $60 to pay for a $49 how much does the cashier of the shopper
Answer:
$11.00
Explanation:
$60 given - $49 order = $11 change
Answer:
It's 11 because 60-49 equals 11.
Step-by-step explanation:
1000+2008747295828492
Answer:
2,008,747,295,829,492
Step-by-step explanation:
2008747295829492= 1000 + 2008747295828492
sweet t has 1,258 staples that he will use to create art canvases. Each canvas requires 24 staples. How many canvases can he make AND how many staples will he have remaining
Answer:
He can make 52 canvases and will have 10 remaining staples
Step-by-step explanation:
1258/24=52 10/24
Answer:
52 canvases can be prepared and 10 staples will be remaining
Step-by-step explanation:
Sweet t has number of staples to create art canvases = 1258
Each canvas requires number of staples = 24
Let n canvases can be prepared by these staples.
Number of staples used in n canvases = 24n
The expression representing this process will be
24n = 1258
n = [tex]\frac{1258}{24}[/tex]
= 52.42 canvases
Staples used to prepare 52 canvases = 52 × 24
= 1248
Remaining staples = 1258 - 1248
= 10 staples
Therefore, 52 canvases can be prepared and 10 staples will be remaining.
8.What is the lateral area and the surface area of the cone shown below? Round the answers to the nearest tenth.the figure is not drawn to scale.
if you have the answers for the whole test I'll take them too please
Answer:
Part 1) The lateral area is [tex]LA=791.7\ ft^{2}[/tex]
Part 2) The surface area is [tex]SA=1,244.1\ ft^{2}[/tex]
[tex]LA=791.7\ ft^{2}[/tex], [tex]SA=1,244.1\ ft^{2}[/tex]
Step-by-step explanation:
step 1
Find the lateral area of the cone
we know that
The lateral area of the cone is equal to
[tex]LA=\pi rl[/tex]
we have
[tex]r=12\ ft[/tex]
[tex]l=21\ ft[/tex]
substitute
[tex]LA=(3.1416)(12)(21)=791.7\ ft^{2}[/tex]
step 2
Find the surface area of the cone
we know that
The surface area of the cone is equal to
[tex]SA=\pi r^{2}+LA[/tex]
we have
[tex]r=12\ ft[/tex]
[tex]LA=791.7\ ft^{2}[/tex]
substitute
[tex]SA=(3.1416)(12)^{2}+791.7=1,244.1\ ft^{2}[/tex]
Is this correct? I have an open dot on 2 with the arrow going to the right if it's not clear
Answer:
Yep! an open dot is <
A closed dot means ≤
Hope this helps! :)
If you don't mind please mark as brainliest! :)
what is the distance in units between (-1, -5) and (-9,-5) on a coordinate plane
Answer:
8 units
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, - 5) and (x₂, y₂ ) = (- 9, - 5)
d = [tex]\sqrt{(-9+1)^2+(-5+5)^2}[/tex]
= [tex]\sqrt{(-8)^2+0^2}[/tex]
= [tex]\sqrt{64}[/tex]
= 8 units
42x^3+35×^2-36x-30 factor
Answer:
(6x + 5)(7x² - 6)
Step-by-step explanation:
Factor the first/second and third/fourth term
42x³ + 35x² - 36x - 30
= 7x²(6x + 5) - 6(6x + 5) ← factor out (6x + 5) from each term
= (6x + 5)(7x² - 6)
Answer:
(6x+5)(7x2−6)
Step-by-step explanation:
Factor 42x3+35x2−36x−30
42x3+35x2−36x−30
=(6x+5)(7x2−6)
PLEASE WALK ME THROUGH THIS!!!??
The red carnations sold for 50 cents a bunch and the white carnations sold for 40 cents a bunch. Mike bought 27 bunches for $12.30. How many red carnations did he get?
Answer:
Im pretty sure he got 24
Step-by-step explanation:
Because if you divide 12.30 by .50 you get 24.6 and the 6 could mean sales tax and other stuff
Choose all of the rectangular prisms that have a volume of 24
Answer:
pictures 1, 2, 4, and 6
Step-by-step explanation:
Four resistors are connected in series such that their total resistance is 50ohm . If the resistance of resistors is 5 ohm , 10ohm and 15 ohm respectively .find tue resistance of the fourth resistor
[tex]\boxed{R_{4}=20\Omega}[/tex]
Step-by-step explanation:If resistors are in series, so the current [tex]I[/tex] is the same in all of them. In this problem we have four resistors. So, we can get a relationship between the Equivalent resistance of series combination and the four resistors as follows:
[tex]R_{eq}=R_{1}+R_{2}+R_{3}+R_{4}[/tex]
[tex]R_{eq}[/tex] is the total resistance [tex]50\Omega[/tex]. Moreover:
[tex]R_{1}=5\Omega \\ R_{2}=10\Omega \\ R_{3}=15\Omega[/tex]
Therefore:
[tex]50=5+10+15+R_{4} \\ \\ R_{4}=50-(5+10+15) \\ \\ R_{4}=50-30 \\ \\ \boxed{R_{4}=20\Omega}[/tex]
(a-b)^2/(1/a-1/b) simplify
The solution of the expression (a-b)²/{(1/a)-(1/b)} is ab² - a²b.
What is factorization?Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.
Given:
An expression,
(a-b)²/{(1/a)-(1/b)}.
Simplifying,
(a-b)²/{(1/a)-(1/b)},
= (a-b)²/{(b-a)/ab},
= -(a-b)² (ab)/(a-b)
= -(a-b)(ab)
= ab² - a²b.
Therefore, ab² - a²b is the solution.
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Final answer:
The expression (a-b)²/(1/a-1/b) simplifies by first finding a common denominator, then multiplying to remove the fraction, resulting in the simplified form -ab(a-b).
Explanation:
To simplify the expression (a-b)²/(1/a-1/b), we can start by finding a common denominator for the terms in the denominator 1/a and 1/b. The common denominator is a × b, so we rewrite the expression as:
((a-b)²) / ((b - a) / (ab))
Now, we can simplify by multiplying both the numerator and the denominator by ab to eliminate the fraction in the denominator:
(a-b)² × (ab) / (b - a)
Note that (a - b) is equal to -(b - a), so:
(a-b)² × (ab) / -(a - b)
Because (a - b)² is (a - b) × (a - b), one (a - b) in the numerator cancels with the (a - b) in the denominator, leaving us with:
-(a - b) × (ab)
Which simplifies to:
-ab(a - b)
A shipping container is known to hold exactly 1000 ft3. If the container is measured, which side dimensions would produce the most accurate measurement of the container?
Answer:
9.9 x 10.1 x 10.0
Step-by-step explanation:
9.9 x 10.1 x 10.0 = 999.9 ft3
This the closest to the true known value.
Other answers mat be more precise, but not as accurate.
Accuracy is how close a measured value is to the actual or true value.
Cheers
Answer:
A)
Step-by-step explanation:
Here are the choices:
A) 9.9 x 10.1 x 10.0
B) 9.91 x 10.11 x 10.00
C) 9.911 x 10.112 x 10.002
D) 9.9113 x 10.1125 x 10.0028
Here are the volumes produced by each choice of measures.
A) 999.9
B) 1001.9
C) 1002.4
D) 1002.56
Answer: A) since the volume os colsest to the real volume.
What is the sum of the arithmetic sequence 8, 14, 20 ..., if there are 22 terms?
Answer: I'm pretty sure its 1562
Answer:
The sum of 22 terms of given AP = 1562
Step-by-step explanation:
Formula:-
Sum of n terms of AP,
Sₙ= (n/2)[2a + (n - 1)d]
To find the sum of 22 terms
Here. a = 8, d = 6 and n = 22
Sₙ= (n/2)[2a + (n - 1)d]
S₂₂ = (22/2)[2*8 + (22 - 1)*6]
= 11[16 + 126] = 11 * 142 = 1562