Answer:
24
Step-by-step explanation:
8(5-2) (insert x=5 , y=2)
8(3)
24
What is the equation of the sinusoid shown in the graph?
A. y=3cos(pi/2x)
B. y=3cos(4x)
C. y=cos(4x)
D. y=3cos(1/4x)
Answer:
Answer: C
Step-by-step explanation:
The Cosine Function
The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:
[tex]y=\cos x[/tex]
Both the amplitude A and the angular frequency w of a cosine can be modeled by the function
[tex]y=A\cos(\omega x)[/tex]
The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:
[tex]\frac{\pi}{2}\omega =2\pi[/tex]
Thus:
[tex]\omega = 4[/tex]
Therefore, the equation of the sinusoid is:
[tex]y=3\cos (4x)[/tex]
Answer: C
Answer:
b apeeeex
Step-by-step explanation:
Three hundred six and seven hundredth in decimal form can be written as :
Answer:
306.007
Step-by-step explanation:
Answer:
306.07
Step-by-step explanation:
300+6+7*0.01
306+0.07
306.07
Which of the following is a solution to the system of equations? y= 3x+24
y=10-0.5x
Answer:
x = -4
y = 12
I hope it helps you
A baseball team won 18 games and lost 3 games during its season. This represents all of the
games that the team played.
What is the ratio of games won to the total number of games played?
Answer:
4 games
Step-by-step explanation:
Challenge Question:
Here is a system with four linear equations.
x+a=6
x-b=5
x+c=4
x-d=3
what is the value of a+b+c+d
Answer:
2
Step-by-step explanation:
x = 3
a = 3
b = -2
c = 1
d = 0
Add them
3 + (-2) + 1 + 0
1. Find Lowest Value of X Possible
2. Go from there
jessie incorrectly said the rate 1/2pound / 1/4quart can be written as the unit rate 1/8 pound per quart. What is the correct unit rate? What was Jessies likely error?
Answer: The correct unit rate = 2 pound per quart.
Her error instead dividing of that she multiplied both fraction.
Step-by-step explanation:
Given: Jessie said the rate [tex]\dfrac12[/tex] pound / [tex]\dfrac14[/tex] quart can be written as the unit rate [tex]\dfrac18[/tex] pound per quart.
The rate [tex]\dfrac12[/tex] pound / [tex]\dfrac14[/tex] quart = [tex]\dfrac{\dfrac{1}{2}}{\dfrac14} =\dfrac12\times\dfrac41=2\ \ \ \ \ \ [ \ \dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times\dfrac{d}{c}\ ][/tex]
The correct unit rate = 2 pound per quart.
Her error instead dividing of that she multiplied both fraction.
Helppppp :(
-12(x-7)= -133
Answer:
The number is 31
Step-by-step explanation:
Let the number be x
Subtract 12 from the number = x - 12
Then multiply the difference by -7 = (-7)*(x - 12)
(-7)(x - 12) = -133
-7x - 12*(-7) = -133
-7x + 84 = - 133
-7x = -133 - 84
-7x = -217
x = -217/-7
x = 31
Max plans to build two side-by-side identical rectangular pens for his pigs that
will enclose a total area of 216 square feet. What is the minimum length of
fencing he will need? What are the dimensions of the total enclosure?
Answer:
864
Step-by-step explanation:
216 + 216 = 432 +216= 448 +216= 864
The minimum length of fencing is 72ft and dimensions are x = 18ft, y=12ft
What is fencing?A fence, wall is a vertical construction used to barricade a space from views, air, or light or to keep out people and animals.
This excludes buildings or parts of buildings that are intended to support a roof, awning, or other horizontal structure, such a building's wall.
let x be the length of each side and y be the width of each side of fence
xy = 216
y = 216/x
total length of fencing = 2x+3y
P = 2x+3y
P = 2x + 3(216/x)
P = 2x + 648/x
On differentiating
P' = 2 - 648/(x²)
for P' = 0
2 = 648/(x²)
(x²) = 324
x = 18
y = 216/18
y = 12ft
Hence length of fencing is = 2x+3y
= 2*18 + 3(216/18)
= 2*18 + 3*12
= 72ft
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(2b-4c) divided by 2 equals?
Answer:
The answer is b - 2c
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
Hoped this helped!
Answer:
The answer to this question is b - 2c
Someone plz help me plz ;-; on both plzzzz
1 1/5 - 3/5 = 3/5
9 1/5 - 3/5 = 8 3/5
Answer:
1: 3/5 2: 8 3/5
Step-by-step explanation:
1 3/5 becomes 6/5. 6/5 - 3/5 = 3/5. 9 1/5 becomes 46/5. 46/5 - 3/5 = 43/5. 5*8=40 so 8 3/5.
Find an equation for the perpendicular bisector of the line segment whose endpoints
(5,-4) and (-9, -8).
are
Answer:
The equation for the perpendicular bisector of the line segment will be:
[tex]y=-\frac{7}{2}x-13[/tex]
Step-by-step explanation:
Given the endpoints of the line segments
(5,-4)(-9, -8)Determining the slope between (5,-4) and (-9, -8)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(5,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-9,\:-8\right)[/tex]
[tex]m=\frac{-8-\left(-4\right)}{-9-5}[/tex]
[tex]m=\frac{2}{7}[/tex]
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = 2/7
Thus, the slope of the the new perpendicular line = – 1/m = (-1)/(2/7)= -7/2
Next, determining the mid-point between (5,-4) and (-9, -8)
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(5,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-9,\:-8\right)[/tex]
[tex]=\left(\frac{-9+5}{2},\:\frac{-8-4}{2}\right)[/tex]
Refine
[tex]=\left(-2,\:-6\right)[/tex]
We know that the point-slope form of equation of line is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the slope of the perpendicular line -7/2 and the point (-2, -6)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-6\right)=-\frac{7}{2}\left(x-\left(-2\right)\right)[/tex]
[tex]y+6=-\frac{7}{2}\left(x+2\right)[/tex]
Subtract 6 from both sides
[tex]y+6-6=-\frac{7}{2}\left(x+2\right)-6[/tex]
[tex]y=-\frac{7}{2}x-13[/tex]
Therefore, the equation for the perpendicular bisector of the line segment will be:
[tex]y=-\frac{7}{2}x-13[/tex]
Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their ages. How much do they each receive?
Answer:
[tex]Aaron=1188[/tex]
[tex]Beth=1782[/tex]
[tex]Charlie=2970[/tex]
Step-by-step explanation:
From the question we are told that
Ratio 6:9:15
Total amount to e shared N=£5940
Generally the Ratio can divide the Total amount mathematically as follows
Ratio
6:9:15/3=2:3:5
Sum of ratio
2+3+5=10
For Aaron
[tex]A=\frac{2}{10} *5940[/tex]
[tex]A=1188[/tex]
For Beth
[tex]B=\frac{3}{10} *5940[/tex]
[tex]B=1782[/tex]
For Charlie
[tex]C=\frac{2}{10} *5940[/tex]
[tex]C=2970[/tex]
Check answer
[tex]A+B+C=5940\\1188+1782+2970=5940[/tex]
Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB, AC, BC.
Hint: Use areas of triangles...A=1/2bh
Answer:
[tex]x = \frac{2(A_T) }{(AB) + (AC) + (BC)} [/tex]
mrs torres is mailing a package that weighs 6.25 pounds. the post office charges by the ounce to mail a package. how much does the package weigh in ounces?
1. 187 ounces
2. 192.2 ounces
3. 100 ounces
4. 200 ounces
PLEASE ANSWER QUICK!!! ( ONLY REPLY IF YOU KNOW THE ANSWER )
what is The smallest number -1, 3, 7, 9 ,11
Answer:
-1 is the answer god luck
Suppose you flip a coin 100 times, with 53 tosses landing heads up. What percentage of the tosses would be tails?
Answer:
47%
Step-by-step explanation:
47/100= 0.47
Plz answer fast and answer right I really need this
Answer: C
[tex]\frac{3}{4}*\frac{1}{3}=\frac{3}{12}=\frac{1}{4}[/tex]
I literally am so cofused
Answer:
48 cups
Step-by-step explanation:
There are 16 cups in 1 gallon. I know this because i divided 64 by 4 to get the amount added. If you subtract 16 from 64, you get 48 cups.
3times what to get -2
Answer: -0.6 recurring
Step-by-step explanation:
-2/3 = -0.6 recurring
What number makes the equation true?
54 = x6
Answer:
x=1.9441612
Step-by-step explanation:
Hope it
Help me i don’t remember how to do this
4. At Healthy Hair, the cost of a child's haircut is $4 and the cost of an adult haircut is $14. The sales from
the 42 haircuts given on Friday were $588. How
many adults and children had haircuts on Friday? The
answer is the solution to the following system.
4c + 14a = 588
c+a=42
Answer:
Step-by-step explanatio
it can be 7 children and 1 adult, or 3 adults.
i'd say it's, c = 28, while a = 14
There are 40 adults and 2 children had haircuts on Friday.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given the system of equation as;
x + y = 42
4x + 14y = 568
We need to solve, let 'x' = 42-y and substitute this expression for 'x' in the second equation to get:
4(42-y) + 14y = 568
168 - 4y + 14y = 568
168 + 10y = 568
10y = 400
y = 40
therefore, x = 2
There are 40 adults and 2 children had haircuts on Friday.
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Zachary had $95. He spent $3 per day for 8 days. Then he was given $24 to divide equally
between himself and his 2 brothers. The following expression can be used to find the
amount of money Zachary had after that.
95 - 3.8+ 24 3
Based on this expression, what is the amount of money Zachary had remaining?
F $24
G $71
H $79
J $253
Answer: 79
Step-by-step explanation:
Answer:
79
Step-by-step explanation:
95 total
3x8=24
24 - 95= 71
3 divided by 24=8
71+8=79
find 35% of 480 and show how you got it
Answer:
35% of 480 = 168
Step-by-step explanation:
35/100 * 480
= 168
Hal is three times as old as his nephew. Hal is 12 years old. Write a multiplication equation and solve the equation to determine his nephew's age.
Answer:
4
Step-by-step explanation:
The equation would be x * 3 = 12 because we know that Hal's age is 12 and that he's 3 times as old as his nephew. When we solve it we get the answer 4.
WILL GIVE BRAINLY PLEASE HELPPPPP
Which value of x from the set {4, 5, 6, 7}, makes this equation true?
4(8 − x) = 8
A.4
B.5
C. 6
D. 7
Answer:
C
Step-by-step explanation:
4(8-x)=8
32-4x=8
-4x=-24
x=6
Find the volume of the solid generated by revolving the shaded region about the X-axis. Y y = sin x cos x
Answer:
hello your question is incomplete attached below is the complete question
answer; [tex]\frac{\pi ^{2} }{16}[/tex]
Step-by-step explanation:
attached below is a detailed solution to the given question above
where :
cos 2x = 1-2sin^2x
cos2x = 2 cos^2x -1
sin^2 2x + cos^2 2x = 1
1-cos^2 2x = sin^2 2x
Answer:
[tex]\mathbf{ Volume (V) = \dfrac{\pi^2}{16} }[/tex]
Step-by-step explanation:
[tex]y = sin x .cos x \\ \\ A(x) = \pi [ sin \ x * cos \ x]^2[/tex]
[tex]= \pi sin^2 x* cos ^2x[/tex]
[tex]Volume (V) = \int ^{\pi/2}_{0} \pi \ sin^2 x \ cos^2x \ . dx[/tex]
[tex]=\pi \int ^{\pi/2}_{0} \Bigg [ \dfrac{1-cos \ 2x}{2} \times \dfrac{1 + cos \ 2x}{2} \Bigg ] \ . dx[/tex]
[tex]=\dfrac{\pi}{4} \int ^{\pi/2}_{0} \ [1 - cos^2 \ 2x] \ . dx[/tex]
[tex]=\dfrac{\pi}{4} \int ^{\pi/2}_{0} sin ^2 2x \ . dx[/tex]
[tex]=\dfrac{\pi}{4} \int ^{\pi/2}_{0} \ \dfrac{1-cos \ 4x}{2} \ . dx[/tex]
[tex]=\dfrac{\pi}{8} \int ^{\pi/2}_{0} \ (1-cos \ 4x) \ . dx[/tex]
[tex]=\dfrac{\pi}{8} \Bigg [x - \dfrac{sin \ 4x}{4} \Bigg]^{\pi/2}_{0}[/tex]
[tex]=\dfrac{\pi}{8} \Bigg [(\dfrac{\pi}{2} -0)-0 \Bigg][/tex]
[tex]\mathbf{ =\dfrac{\pi^2}{16} }[/tex]
320 g as a fraction of 2 kg
Answer:
4/25
Step-by-step explanation:
2kg in grams is 2000g
320/2000 simplifies to 4/25
Answer:
= 320,000g
Step-by-step explanation:
1 kg = 1,000 g so 320 kg = 320*1000 = 320,000 g. Simple!
I need help on this please
Answer:
Variable- n
Coefficients- -2 and -9
No exponent
No constant
Step-by-step explanation:
Hope this helps!
Step-by-step explanation:
the variable is n
the coefficient is -11
the exponent is 1
[tex] - 11n \\ {n}^{1} [/tex]
the constant is 0
what’s 11.9 rounded to nearest tenth??
Answer:
It’s still 11.9
Step-by-step explanation:
