Answer:
y=2 cos (π/4x-π/4)
Step-by-step explanation:
Given
A cosine function has an amplitude of 2, a midline of 5 and a period of 8.
To find:
A cosine function.
Explanation:
Let the function be,
[tex]y=Acos(ws+p)[/tex]
Since amplitude is 2.
Then,
[tex]A=2[/tex]
Also, since the period is 8.
Then,
[tex]w=\frac{2\pi }{8}[/tex]
[tex]w=\frac{\pi }{4}[/tex]
And, since midline is 5.
Hence, the cosine function is,
y=2 cos ([tex]\frac{\pi }{4}[/tex]x-[tex]\frac{\pi }{4}[/tex]
What is the solution of log(3x+4)^125 = 3? (3x+4) is the base. 125 is the argument.
x=1/3
x=1
x=7/3
x=4
Answer:
x = 1/3
Step-by-step explanation:
[tex] = > log_{(3x + 4)}125 = 3[/tex]
[tex] = > {(3x + 4)}^{3} = 125 \: ( \because \: log_{a}b = x = > {a}^{x} = b)[/tex]
[tex] = > 3x + 4 = \sqrt[3]{125} = 5[/tex]
[tex] = > 3x = 5 - 4 = 1[/tex]
[tex] \therefore \: \: x = \frac{1}{3} [/tex]
Hope you've understood the solution.
math sceenshot answer math problem
Answer:
the total amount owed for the car is $7500
Step-by-step explanation:
5% of $6000 is ($6000×5)÷100= $300
so $300×5= $1500
now the 5 yrs interest auditioned to the $6000 loan equals $7500.
($300×5)+$6000= $7500
solve the inequality n − 2 ≥ 4 or n − 2 ≤ 9
Answer:
n = 6 and n = 11
Step-by-step explanation:
A large set of data was collected and analyzed for the majors of college seniors in the US From the scatter plots produced the following associations were observed the linear model P(1) - 2,376 + 73,219 can
be used to estimate the number of college seniors who graduated with a bachelor's degree in psychology, tyears after 2000. The linear model B(l) 2,4140 + 56, 545 can be used to estimate the number of college
seniors who graduated with a bachelor's degree in biology, years after 2000
Which of the following statements are true?
The number of psychology degrees increases by about 73,219 each year after 2000
The number of biology degrees increases by about 2,414 each year after 2000,
About 73,000 students graduated with degrees in psychology in 2000.
About 2,400 students graduated with degrees in biology in 2000.
In 2000, more students graduated with psychology degrees than biology degrees.
Using linear function concepts, it is found that the correct statements are given by:
The number of biology degrees increases by about 2,414 each year after 2000.About 73,000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.In this problem, the number of college seniors who graduated with a bachelor's degree in psychology, in t years after 2000, is modeled by:
P(t) = 2,376t + 73,219.
For biology, the amount is given by:
B(t) = 2,414t + 56,545.
Then, the true statements are given by:
The number of biology degrees increases by about 2,414 each year after 2000.About 73,000 students graduated with degrees in psychology in 2000.In 2000, more students graduated with psychology degrees than biology degrees.More can be learned about linear function concepts at https://brainly.com/question/24808124
I WILL MARK BRAINLIEST
Answer:
C. $250
Step-by-step explanation:
-To find the unit rate you need to divide the Amount Earned by Time worked
-When you do this you get 6.25
-Then you multiply 6.25 by 40
-That equals 250 and therefore the answer is C
A bicycle helmet cost $41.40 in 1983. what will a bicycle helmet cost when the cpi is 186? round to the nearest cent. a. $222.58 b. $144.60 c. $77.00 d. $72.30 please select the best answer from the choices provided a b c d
Answer:
c. $77.00
Step-by-step explanation:
The CPI is 100 times the ratio of prices relative to those in some reference period. Here, we assume the reference year is 1983, so a CPI of 186 means the current prices are 1.86 times those in 1983.
1.86 × $41.40 = $77.00
The helment price will be $77.00 when the CPI is 186.
Answer:
C. $77.00
Step-by-step explanation:
Edge23
-3|x|=9, what is x? I wrote that x = -3, but I guess that's wrong?
Answer:
no solution
Step-by-step explanation:
You want the solution to -3|x| = 9.
SignThe equation shows the product of a negative number (-3) and a positive number |x| is positive (9).
This is a violation of the rules of arithmetic. The product of a positive and a negative is always negative.
There is no solution to this equation.
<95141404393>
Solva.
3
ba
a+b=21
1
a = 37
0 = 20
a = 20
b = 11
1
o = 12
b = 9
b = 15
b = 16
10.
4
The values of a and b in the sytem of equation are 12 and 9 respectively.
How to find the variables(a and b) in the sytem of equation?b = 3 / 4 a
a + b = 21
Therefore, let's substitute b in equation(ii)
a + b = 21
a + 3 / 4 a = 21
4a + 3a / 4 = 21
7a / 4 = 21
cross multiply
7a = 21 × 4
7a = 84
divide both sides by 7
a = 84 / 7
a = 12
b = 3 / 4 a
b = 3 / 4 × 12
b = 36 / 4
b = 9
learn more on system of equation here: https://brainly.com/question/11837694
Find the perimeter of ΔABC and how you got it.
Answer:
[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]
Step-by-step explanation:
Given:
➳ AC || RP
➳ AC = 18 units
➳ AR = 14 units
➳ RB = 7 units
➳ CP = 10 units
To find:
perimeter of triangle ABC =?
Solution:
in ∆ABC and ∆RBP
since we know AC || RP,
then ∠ACP = ∠RPB
and ∠CAB = ∠PRB (Property of parallel lines)
and ∠B is a common angle in both traingles,
hence ∆ABC ~ ∆RBP from AAA property!
now,
using the properties of similar triangle,
[tex] \frac{AR }{RB} = \frac{CP}{PB} \\ \\ \frac{14}{7} = \frac{10}{PB} \\ \\ X = \frac{10}{2} \\ \\ \fbox{PB = 5} \\ \\ \\ [/tex]
To find perimeter of ∆ABC, add all the components.
Perimeter of ∆ABC = AR + RB + BP +PC + CA
Perimeter of ∆ABC= 14 + 7 +5 +10 + 18 units
[tex]\fbox{Perimeter of ∆ABC = 54 units}[/tex]
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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
In the given figure, PR is parallel to CA, therefore two angles of Triangle ABC is equal to two corresponding angles of Triangle RBP.
that is
[tex]\qquad \sf \dashrightarrow \:\angle BCA = \angle BPR[/tex]
[tex]\qquad \sf \dashrightarrow \:\angle BAC= \angle BRP [/tex]
[ They form pairs of corresponding angles ]
So, we can infer that :
[tex]\qquad \sf \dashrightarrow \:\triangle BAC \sim \triangle BRP [/tex]
The Triangles are similar, by AA criteria ~
let's assume measure of BP = x
Now, let's use its result :
[tex] \qquad \sf \dashrightarrow \:\dfrac{BA}{BR}= \dfrac{BC}{BP}[/tex]
[tex] \qquad \sf \dashrightarrow \:\dfrac{14 + 7}{7}= \dfrac{x + 10 }{x}[/tex]
[tex] \qquad \sf \dashrightarrow \:\dfrac{21}{7}= \dfrac{x + 10 }{x}[/tex]
[tex] \qquad \sf \dashrightarrow \:3= \dfrac{x + 10 }{x}[/tex]
[tex] \qquad \sf \dashrightarrow \:3x={x + 10 }{}[/tex]
[tex] \qquad \sf \dashrightarrow \:3x - {x = 10 }{}[/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 10[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 5 \: \: units[/tex]
So, the required Sides of Triangle ABC are :
AB = 14 + 7 = 21 units AC = 18 units BC = 10 + 5 = 15 unitsTherefore, Perimeter = AB + BC + AC :
[tex]\qquad \sf \dashrightarrow \:21 + 18 + 15[/tex]
[tex]\qquad \sf \dashrightarrow \:54 \: \: units[/tex]
Jenny chose two cards randomly from a deck. What is the probability of getting an ace and then a king?
A regular octagon has an apothem of approximately 4.0 cm and a perimeter of approximately 26.4 cm. Find the area of the octagon.
Answer:
[tex]52.8cm^{2}[/tex]
Step-by-step explanation:
Perimeter = 26.4 cm
Apothem = 4.0 cm
The area of an regular octagon can be defined as the [tex]\frac{perimeter*apothem}{2}[/tex]
when we plug in our values we get the equation [tex]\frac{26.4cm*4.0cm}{2}=52.8cm^{2}[/tex]
if f(x)= 3/x+2 - /x-3, complete the following statement: The domain for f(x) is all real numbers ___than or equal to 3.
Answer:
greater probably i am guessing its just a guess it also could be lower i dont know the question isnt clear
Which of the following can hold about 2 liters of water? A. a lemonade pitcher B. a pond C. a coffee mug D. a medicine dropper
Consider the first six terms of this sequence: 3,6,12,24,48,96,.......... What would be the sum of the first 19 terms of this sequence? *
393,216
786,429
1,572,861
1,162,261,467
Answer:
1,572,861 is the answer please
Which of the following is closest to the circumference of the stump?
A)
5.495 ft?
B)
9.617 ft?
C)
10.99 ft
D)
38.465 ft2
Answer:
C):10.99
Step-by-step explanation:
The diameter is 3.5...
3.5 x 3.14 = 10.99
The cirucmference of the stump given its diameter is closest to 10.99 ft.
What is the circumference of the stump?The circumference of the stump is the distance round the stump. The stump is in the shape of a circle. Thus, the formula for the circumference of a circle would be used to determine the circumference of the stump.
Circumference of a circle = πD
Where:
π = 3.14 D = diameter = 3.53.14 x 3.5 = 10.99ft
Please find attached an image of the stump. To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152
pls help on math lol
Answer:
The slope is -8 and the y intercept is -6
Step-by-step explanation:
The first numbers are the slopes and the one after that is the y intercept. ALWAYS
Estimated employment change by sector 2004–2020 a bar graph titled estimated employment change by sector from 2004 to 2020 has year on the x-axis and percentage of change in employment on the y-axis. for the high-tech sector, the percentages for years 2004, 2007, 2009, 2011, and 2020 are: 12, negative 2, 3, 3, 16. for the private sector, the percentages for years 2004, 2007, 2009, 2011, and 2020 are: 4, negative 4, 2, 2, 13. how was the high-tech sector affected during the recession of 2007? high-tech employees were more likely to be unemployed. employment in the high-tech sector exceeded 2004 levels. high-tech and private employment was about the same. high-tech sector employees were less likely to lose their jobs.
The high-tech sector employees were less likely to lose their jobs option fourth is correct.
It is given that the estimated employment change by sector 2004–2020 a bar graph titled estimated employment change by sector from 2004 to 2020 has the year on the x-axis and the percentage of change in employment on the y-axis.
It is required to find the correct statement.
What is a bar chart?It is defined as the visual way to show the data a systematically with rectangle box on the x-axis and y-axis. The height and vertical lines show the proportional data.
From the given data many businesses stagnated and had to fire employees, but these were primarily people who could be quickly replaced by someone willing to work for a lower wage.
Employees in the high-tech sector are frequently too valuable to the company to be laid off, therefore their job security was strong because no one could replace them.
Thus, the high-tech sector employees were less likely to lose their jobs option fourth is correct.
Learn more about the bar chart here:
https://brainly.com/question/15507084
Answer:
D- High-tech sector employees were less likely to lose their jobs.
Step-by-step explanation:
edge economics 22
The diameter of a circle is 8 inches. What is the and
with area 24 square inches?
8 inches
to find:the area
solution:If the diameter is 8 inches, the radius is 4 inches.
a= Pi* r^2
= 16 Pi square inches.
pi= 3.14159 》 16pi
= 15.2655 sq inch
Find the volumn of prism given figures
[tex]v = (5 \times 3 \times 6.5) + (2 \times 4 \times 6.5)[/tex]
[tex]v = 15 \times 6.5 + 8 \times 6.5[/tex]
[tex]v = 97.5 + 52[/tex]
[tex]v = 149.5 \: \: \: {cm}^{3} [/tex]
In the relation (a+c)^2=t make C the subject
Answer:
See below
Step-by-step explanation:
(a+c)^2 = t
(a+c) = sqrt t
c = sqrt(t) - a
The radius, R, of a sphere, is 6.3cm. Calculate the sphere's volume, V.
Use the value 3.14 for, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answer:
V = 1046.9
Step-by-step explanation:
The equation for volume is (4/3)pi r^3
substitute 3.14 in for pi and 6.3 in for r so (4/3)*3.14*6.3^3
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are exactly that.
See picture for full problem. Please and thank you so much!
Answer:
obtuse angle is 155'
Reflex angle is 205'
Step-by-step explanation:
Just add the angles between the arecs
there are 3 numbers in ascending order such that the difference of first two is 10 and that of last two is 12. if the sum of three numbers is 47, find the least number.
Answer:
17/3
Step-by-step explanation:
x + y + z = 47
y - x = 10 x = y - 10
z - y = 10 z = 10 + y
y-10 + y + 10 + y = 47
3 y = 47
y = 47/3 x = 17/3 z = 77/3
Answer:
5
Step-by-step explanation:
bryan is a salesman in a buy and sell who earns 3 1/2% commission on every item he sell. if he sold a total of 150,000 how much is his commision
with solution please
Answer:
If commission is 31/2 percent check first image else go through second picture
Emilio's Publishing prints and sells cookbooks to stores for $4.50 each. Their weekly profits can be modeled by the quadratic function P(x) = −0.1x2 + 15x + 120, where P(x) is profit and x is the number of $0.05 price increases. Use the graph to answer the question.
Graph of function p of x equals negative 0.1 x squared plus 15 x plus 120. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 120), increases to (75, 682.5), and decreases through (157.614, 0).
Approximately what amount should the company sell each cookbook for to maximize profit? (1 point)
$8.25
$9.50
$10.20
$17.00
Using the vertex of the quadratic equation, it is found that the profit will be maximized when each cookbook is sold for $8.25.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function is modeled as follows, considering x as the price divided by $0.05.
P(x) = -0.1x² + 15x + 120.
The coefficients are a = -0.1 < 0, b = 15, c = 120, hence the x-value of the vertex is given by:
[tex]x_v = -\frac{15}{2(-0.1)} = \frac{15}{0.2} = 75[/tex]
75 increases of $0.05, hence the price will be of:
4.5 + 75 x 0.05 = $8.25.
Hence, the profit will be maximized when each cookbook is sold for $8.25.
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
what is the equation of the line with the slope -3 through the point (3,5)?
Answer:
[tex]\boxed{\sf{y=-3x+14}}[/tex]Step-by-step explanation:
The slope-intercept formula can be used to find the equation of the line.
Slope-intercept formula:
[tex]\Longrightarrow:\sf{y=mx+b}}[/tex]
The m represents the slope.The b represents the y-intercept.y-intercept is 14.y=-3x+14
Therefore, the correct answer is y=-3x+14.I hope this helps you! Let me know if my answer is wrong or not.
7
Write the expanded form of 0.031 with fractions. Then complete
the steps to show how to write 0.031 as a fraction.
0.031 =
Х
1
+
100
Х
1,000
3
=
1
+
=
+
1,000 1,000
1,000
Answer:
soulutions
0,03| = 3×1^100 × 1× 1^1000
=3^100 + 1^1000
=30^1000 + 1^1000
=31^1000
(3=3×10 =30 )
(100 1000 1000 )
For what value of x does 64 superscript 3 x baseline = 512 superscript 2 x 12?
The value of x in the equation [tex]64^{3x} = 512^{2x}[/tex] is infinite
How to determine the value of x?The equation is given as:
[tex]64^{3x} = 512^{2x}[/tex]
Rewrite [tex]64^{3x}[/tex] and [tex]512^{2x}[/tex] in base 2
[tex]2^{6*3x} = 2^{9*2x}[/tex]
Evaluate 6 * 3x and 9 * 2x
[tex]2^{18x} = 2^{18x}[/tex]
By comparing the exponents, we have:
18x = 18x
Divide both sides by 18x
1 = 1
Hence, the value of x in the equation is infinite
Read more about equation solutions at:
https://brainly.com/question/7784687
#SPJ4
Answer:
D) No Solution
Step-by-step explanation:
2. Solve for the missing side
It is required to show the work when you got the answer
Answer: The answer is 15.
Step-by-step explanation: I used the pythagorean theorem, which is squaring the "legs" of the right angle, which is 9m and 12m, then adding the answer and using the square root of the sum.
Find m v I need help with these two questions
Answer:
Step-by-step explanation:-15)
ABCD is quadrilateral
∠MBC+∠ABC=180°
∠ABC = [tex]\tt 180-71=109^o[/tex]
The sum of all angles of quadrilateral = 360°
[tex]\tt 10x+6+12x-2+8x-1+109=360^o[/tex]
[tex]\tt 31x+112=360[/tex]
[tex]\tt 31x+112-112=360-112[/tex] ( Subtract 112 from both sides)
[tex]\tt 31x=248[/tex] (Simplify)
[tex]\tt \cfrac{31x}{31}=\cfrac{248}{31}[/tex] (Divide both sides by 21)
[tex]\tt x=8[/tex]
___
16) Find m∠v
The polygon has 6 sides
Sum of angles:- (6-2)=180= 720°
so,
[tex]\tt 90+9x-19+111+5x+8+128+7x+3=720[/tex]
[tex]\tt 2x+321=720[/tex]
[tex]\tt 21x+321-321=720-321[/tex] ( Subtract 321 from both sides)
[tex]\tt 21x=399[/tex] (Simplify)
[tex]\tt \cfrac{21x}{21}=\cfrac{399}{21}[/tex] ( Divide both sides by 21)
[tex]\tt x=19[/tex]
Therefore, m∠v=19
____