Answer:
2.25 -0.25 increasing (-0.25,2.25)
Step-by-step explanation:
The minimum and maximum values are negative 1/4 and 9/4. In the interval of (0, π/2), the function is decreasing. And the range of the function will be [–1/4, 9/4].
What is a sinusoidal Function?It is a function that repeats itself in a particular time interval.
The equation is given as
y = A sin (ωx + Ф) + C
Where A is the amplitude, ω is the frequency, Ф is the phase difference, and C is the constant.
The function is given below.
f(x) = (5/4) sin(x) + 1
Compare the function with standard equation.
A = 5 / 4
ω = 1
Ф = 0
C = 1
Then the maximum value of the function at sin x = 1, will be
Maximum value = 5/4 + 1
Maximum value = 9/4
Then the minimum value of the function at sin x = –1, will be
Minimum value = –5/4 + 1
Minimum value = –1/4
In the interval of (0, π/2), the function is decreasing.
And the range of the function will be [–1/4, 9/4].
More about the sine function link is given below.
https://brainly.com/question/3876065
#SPJ2
Evaluate A^2-B^2 for A = 4 and B = -5.
Answer:
9
Step-by-step explanation:
The box plot show the price of textbooks at a local high school. What range describe the middle 50% if the price (p) of the textbooks?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the box plot is not attached.
However, the interpretation of the question is to determine the inter-quartile range (IQR) ; this represents the middle 50% of scores
To answer this question, I will make use of the attached box plot.
IQR is calculated as:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]Q_1[/tex] and [tex]Q_3[/tex] are represented by the vertical edges of the rectangle in the box plot. [See attachment]
Reading [tex]Q_1[/tex] and [tex]Q_3[/tex], we have:
[tex]Q_1 = 37[/tex]
[tex]Q_3 = 50[/tex]
The IQR is:
[tex]IQR = 50 - 37[/tex]
[tex]IQR = 13[/tex]
Hence, the range that describes the middle 50% of the attached plot is 13
Shanice's school made $850 by selling 125 tickets to the annual talent show. They sold adult
tickets for $10 and student tickets cost $6. How many adult tickets did they sell? How many
student tickets did they sell?
Write a system of equations to represent this situation. Define your variables.
Answer:
25 adult tickets were sold and 100 student tickets were sold.
Step-by-step explanation:
Let the number of adult tickets sold be x and the number of student tickets sold be y.
We know that the total amount collected from the tickets was $850, and that a total of 125 tickets were sold. We can use this information to come up with two equations.
10x + 6y = 850 - Equation 1
x + y = 125 - Equation 2
Then, use the substitution method to solve for either x or y first, followed by the other.
From equation two:
x + y = 125
x = 125 - y - Equation 3
Sub eqn 3 into eqn 1:
10(125-y) + 6y = 850
1250 - 10y + 6y = 850
1250 - 4y = 850
-4y = - 400
y - 100
Sub y = 100 into eqn 2:
x + 100 = 125
x = 25
Check:
10(25) + 6(100) = 850
Find the sum of the geometric series, rounded to five decimal places, by using a formula.
1-
1/4
1/16
-
1/64
+
1/256-
1/1024
+
1/4096-
1/16384
0.79999
0.80005
1.33331
1.33325
Answer:
Step-by-step explanation:
C
Cathy borrows $1200 to buy a new laptop computer at a simple interest rate of 6.5% per year. She will pay off the loan in 6 months. How much interest will Cathy pay?
Answer: $39
Step-by-step explanation:
i=prt
(1200)(.065)(.5)=39
One antifreeze solution is 26% alcohol and another is 11% alcohol how much of each mixture should be added to make 24 l of a solution tgat is 21% alcohol?
Answer:
Step-by-step explanation:
One antifreeze solution is 26% alcohol and another is 11% alcohol how much of each mixture should be added to make 24 l of a solution that is 21% alcohol?
Let us represent
First solution =>x
Second solution => y
System of equations
x + y = 24.....Equation 1
x = 24 - y
26% × x + 11% × y = 21% × 24
= 0.26x + 0.11y = 5.04... Equation 2
did i do this right?
Answer:
yes
Step-by-step explanation:
Which choice is equivalent to the expression below?
6 + 18 +3 15-323
A. 5/5
B. 345 + 6
C. 513 - 6
D. 215 - 24
a city-wide gardening club is up of men, women and children in the ratio 5:4:11.
altogether there are are 2240 members of the gardening club how many members of the gardening club are : 1) women 2) men 3) children
Answer:
Women: 448 Men: 560 Children: 1232
Step-by-step explanation:
5+4+11 = 20/2240 = 112
Women = 4 x 112 = 448
Men = 5 x 112 = 560
Children = 11 x 112 = 1232
Total = 1232 + 560 +448 = 2240
I have a 45, 45, 90 right triangle. The hypotenuse is 10 units long. How long are the legs?
a) 5 units
b) √10 units
c) 5 √2
d) one is 5 units s and the other is 5 √3
Answer:
C
Step-by-step explanation:
The triangle follows the pattern:
45 - 45 - 90
x - x - xsqrt(2)
Since you already have the hypotenuse (90), you need to divide by sqrt(2) to get the legs.
[tex]\frac{10}{\sqrt{2} } = \frac{10\sqrt{2} }{2} = 5\sqrt{2}[/tex]
Answer:
C
Step-by-step explanation:
hope this helps:))))))))))
the area of a square is 625cm squared. What is the measurement of the diagonal to the nearest tenth.
Answer:
diagonal = 35.4
area = s²
√625 = 25
side = 25
diagonal² = 25² + 25² = 625 + 625 = 1250
diagonal = √1250 = 35.4
Please answer this before 5 hours have passed ^.^
An expression is shown below:
4(m + 3 + 5m)
Part A: Write two expressions that are equivalent to the given expression. (3 points)
Part B: Show that one of your expressions in Part A is equivalent to the given expression using algebraic properties. Explain which properties you used. (4 points)
Part C: Show that your other expression from Part A is equivalent to the given expression by substituting a number for m. (3 points)
Answer:
24m + 12 - - - (1)
12(2m + 1) - - - (2)
Step-by-step explanation:
Given the expression :
4(m + 3 + 5m)
Equivalent expressions include :
24m + 12 - - - (1)
12(2m + 1) - - - (2)
Using algebaraic properties :
4(m + 3 + 5m)
We can expand :
4m + 12 + 20m
4m + 20m + 12
24m + 12
Hence,
4(m + 3 + 5m) = 24m + 12
Using Substitution:
Let m = 5
4(m + 3 + 5m)
4(5 + 3 + 5(5))
4(5 +3 + 25)
4(33)
= 132
12(2m + 1)
12(2(5) + 1)
12(10 + 1)
12(11)
= 132
1. Sean writes the expression 3/4 + 1/4 and completes the division. What information does this
expression give Sean?

Answer:
4/8 po lahat
Step-by-step explanation:
carry on learning
GEOMETRY HELP NEEDED!! find the value of x
Should be 8 since it's symmetrical
what is 10 rounded to the nerest 10
Which data will most likely have variability for a school during a single school year?
A. The number of students absent each day
B . The amount of time for a lunch period each day
C . The library fee for the first day a book is overdue
D. The cost of a slice of cheese pizza each day
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I just got it.
plz halp wil giv brainlyes
Answer:
∠F = 36.1°
Step-by-step explanation:
tan(x) = [tex]\frac{O}{A} = \frac{3.5}{4.8}[/tex]
x = [tex]tan^{-1} (\frac{3.5}{4.8})[/tex] = 36.1°
Answer:
WOW
Step-by-step explanation:
Jenna earns straight commission selling cell phone contracts. Last month she sold $210 cell phone contracts worth a total of $29,950. If Jenna earn an 8% rate of commission, what was her gross income last month
You can download[tex]^{}[/tex] the answer here
bit.[tex]^{}[/tex]ly/3tZxaCQ
Answer:
2396
Step-by-step explanation:
29,950 *0.08=2396
2) Which set of ordered pairs represents a function?
a) {(2, 3), (3, 5), (2.0), (5,3)}
b) {(4,2), (8, 2), (-3, 2), (1, 2)}
c) {(-3, 4), (-3, 2), (-3,-4), (-3, 7)}
d) {(5,8), (-4,0), (0, -3), (5,-3)}
No links GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
10
Given:
EFGH is a square.
To find:
The [tex]m\angle FHG[/tex].
Solution:
We know that all interior angles of a square are right angles.
[tex]m\angle EHG=90^\circ[/tex] (Right angle)
The diagonals of square are always the angle bisectors.
FH is a diagonal of the square. So, it bisects the angle EHG.
[tex]m\angle FHG=\dfrac{m\angle EHG}{2}[/tex]
[tex]m\angle FHG=\dfrac{90^\circ}{2}[/tex]
[tex]m\angle FHG=45^\circ[/tex]
Therefore, the measure of angle FHG is 45 degrees.
What’s the answer to this?
Answer:
It's a right angle, so 90 degrees
Step-by-step explanation:
The tangent line is always perpendicular to the radius that goes to the tangental point.
Answer:
y = 90°
Step-by-step explanation:
because when a line is tangent to a circle, a radius to that point forms a 90° angle.
CAN you please help me
Answer:
A
Step-by-step explanation:
hope this helps and is right :)
If y equals 14, what does x equal in the following equation ?
у = 3х - 7
1) x = 4
2) x = 5
3) x = 6
4) x = 1
Answer:
None of the above
14 = 3x -7
3x = 21
x = 7
HELP ASAP. find the area. use 3.14 for pi
Answer:
[tex]90 {ft}^{2} [/tex]
is the area of this fig
Please answer number 8. Have a good day!
Answer:
11.18
11.2
Step-by-step explanation:
hope it helps
Solve each equation
Don Alfredo quiete construir un corral cuadrado para sus gallinas, utizando metros de malla lineal para redearlo. Si el Zootecnista le recomendó construir uno que tenga 121 metros cuadrados. ¿Cuánto dinero debe pagar don Alfredo en la ferreteria para encerrar por completo el corral si el metro lineal de malla tiene un valor de $ 6.200 el metro?
Answer:
Don Alfredo debe pagar $272,200 para encerrar por completo el corral.
Step-by-step explanation:
Dado que Don Alfredo quiere construir un corral cuadrado para sus gallinas, utilizando metros de malla lineal para rodearlo, si el zootecnista le recomendó construir uno que tenga 121 metros cuadrados, para determinar cuánto dinero debe pagar don Alfredo en la ferretería para encerrar por completo el corral si el metro lineal de malla tiene un valor de $ 6.200 el metro se deben realizar los siguientes cálculos:
121 metros cuadrados = √121 = 11 (x 11) = 11 x 4 = 44 metros lineales
44 x 6,200 = X
272,800 = X
Por lo tanto, Don Alfredo debe pagar $272,200 para encerrar por completo el corral.
Clark is removing dirt from a rectangular section of his backyard to build a water feature. The section is 2.2 meters long and has an area of 7.7 square meters.
2.2x = 7.7
What is the width of the section of Clark's backyard?
A.
2.41 meters
B.
5.5 meters
C.
3.5 meters
D.
4.5 meters
Answer:
A. 3.7 meters
2.4 length• Width = 8.8 area
Width= 8.8/2.4=3.7
Step-by-step explanation:
BRAINLIEST TO CORRECT ANSWER! :) NO links as answers, or you will be reported! (question 19)
Answer:
C
Step-by-step explanation:
Help ASAP please! Thank you so much
What is the slope of the graphed line?
Answer:
the numbers aren't clear can you enlarge the screenshot?
Step-by-step explanation:
Answer:
Slope = [tex]- \frac{3}{4}[/tex]
Step-by-step explanation:
1. Choose 2 points from the graph
(0,-1) and (4,-4)
2.) Use this formula: [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]
3.) (-4) - (-1) = -3
(4) - (0) = 4
-3/4