Answer:
amplitude = 2
Step-by-step explanation:
the amplitude is the distance from the x- axis(midline ) to the maximum value , that is
amplitude = 2
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
Option B ( 2 ) ✓
the amount by which the graph of the function travels above and below its midline.OR,
[tex] \sf{amplitude = distance \: from \: undisturbed \: position \div centre \: line \: to \: through \: or \: peak \: }[/tex]
[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
What is the surface area of each figure 11 m 7 m 6 m?
Answer:
hi, I'm glad to help! 185
Step-by-step explanation:
11*7=77
11*6=66
6*7=42
77+66+42=185
In a class of 25 pupils, if 15 are females. Calculate the ratio of males : total
Answer:
2:5
Step-by-step explanation:
15 are female. 10 must be male.
Out of 25 pupils, 10 are male, so it's 10:25, or 2:5
PLS HELP I WILL GIVE BRAINLESt TO THE PERSON WHO SOLVES ALL OF THE CORRECTLY
Answer:
m^4 - 225c^10 = (m^2 - 15c^5 )(15c^5 + m^2)
4.8xy + 36y^2 + 0.16x^2 = (6y + 0.4x)^2
a sphere and a cylinder have the same volume. each figure has a radius of 13. what is the height of the cylinder?
Answer:
V = 4/3 π R^3 volume of a sphere
V = π R^2 H volume of cylinder area of base X height
4/3 π R^3 = π R^2 H equal volumes
H = 4/3 R relationship of height to radius for cylinder
H = 4/3 * 13 = 52 / 3 cm = 17 1/3 cm
A quantity with an initial value of 200 grows continuously at a rate of 4% per second.
What is the value of the quantity after 1.55 minutes, to the nearest hundredth?
The growth of the quantity is an illustration of an exponential function
The value of the quantity after 1.55 minutes is 76759.22
How to determine the amount of the quantity?The given parameters are:
Initial value, a = 2000
Rate, r = 4%
An exponential growth function is represented as:
y = a(1 + r)^x
Substitute the value in the equation
y = 2000(1 + 4%)^x
After 1.55 minuted, x = 1.55 * 60
So, we have:
y = 2000(1 + 4%)^(1.55 * 60)
Evaluate the expression
y = 76759.22
Hence, the value of the quantity after 1.55 minutes is 76759.22
Read more about exponential functions at:
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Answer:
Step-by-step explanation:
9398.61
Write the quadratic equation whose roots are 1 and −5, and whose leading coefficient is 4.
Answer:
Standard Form: y = 4(x-1)(x+5)
Step-by-step explanation:
4 is the leading coefficient, so it should go in front. When making a standard quadratic equation, you must do the opposite for each of the roots (negative to positive, positive to negative.)
if you’re asking for a general form quadratic equation, then sorry, I am unable to help you with that :(
how many solutions does 8B + 7v - 5 equals -11 + 15b
Answer: No solutions
- by graphing-
First I will simplify:
8B + 7v - 5 equals -11 + 15b
8b + 7v - 5 = -11 + 15b
7v = -6 + 15b
7v = -6 + 7b
Let's graph this and see what happens!
-> I will graph y = 7x and y = 7x - 6
-> See attached.
-> Since there are no points of intersection (they have the same slope), there is no solutions.
The solid below is dilated by a scale factor of 3. Find the volume of the solid created
upon
dilation.
The volume of the solid created upon dilation bythe scale factor of 3 is 5832 units³.
What is the volume of the dilated solid?An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.
Dimensions of the dilataed solid = 6 x 3 = 18
Volume = 18³ = 5832 units³
To learn more about dilation, please check: brainly.com/question/3457976
Please help me with 20 through 22 please I really appreciate it! Thank you very much!
Answer:
20. 2x+y
21. 4
22. x+y
Step-by-step explanation:
20. 9x+2y - x-2y find your LCM
4 4
=(9x+2y)-(x-2y) clear bracket
4
=9x+2y-x+2y collect terms
4
=9x-x+2y+2y
4
=8x+4y factorize
4
=4(2x+y)
4
=2x+y
with this, you will understand the following
21. 4x + 8y
x+2y x+2y
=4x+8y
x+2y
=4(x+2y)
x+2y
=4
22. 2x-y + 2x+5y
4 4
=2x-y+2x+5y
4
=4x+4y
4
=4(x+y)
4
=x+y
Lucy bought 4 pairs of pants for $21.79 each. She paid the cashier using as few $20 bills as necessary. How much change did she receive?
The amount of change Lucy receives if she paid with few $20 bills is $12.84
How to find amount of change to receiveCost of each pair of pants = $21.79Number of pairs of pants = 4Total cost of pants = $21.79 × 4
= $87.16
Amount paid to the cashier = few $20 billsIf the total cost of the pants exceeds $80, then she paid with 5 $20 bills
5 $20 bills = $100
Her change = $100 - $87.16
= $12.84
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A car used 1/81 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can the car travel using 1 gallon of gas? ??????????
Step-by-step explanation:
1/81 gallon for 1/4 mile.
what do I need to multiply 1/81 with to get 1 gallon ?
it is simple, right ? i need to multiply it by 81 to get 1 gallon.
in order to keep the relationship (ratio) unchanged, I need to multiply the other part (1/4 mile) with the same factor :
1/4 × 81 = 81/4 = 80/4 + 1/4 = 20 1/4 miles
so, at this rate, that car can travel 20 1/4 miles using 1 gallon of gas.
 find the equation of the line that is parallel to the line Y equals 3X -6 and passes through the points (1 -8). Write the equation in point slope form
=====================================================
Parallel lines have the same slope.
So if the given line has a slope of 3, then the line parallel to it has the same slope (3)
Now, let's write the equation of the line in Point-Slope Form.
Remember, point-slope form looks like so:-
[tex]\bigstar{\underline{\boxed{\pmb{y-y1=m(x-x1)}}}[/tex]
Where
y₁ is the y-coordinate of the point that the line passes through
m is the slope
x₁ is the x-coordinate of the point that the line passes through
In this case,
y₁ is equal to -8
m is equal to 3
x₁ is equal to 1
Plug in the values:
[tex]\longrightarrow\sf{y-(-8)=3(x-1)}[/tex]
Simplify:
[tex]\longrightarrow\sf{y+8=3(x-1)}[/tex]
and we're done!
=========================================================
note:-Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Solve the following equations and check your solution using substitution.
6 - 5x = 16
4 - 9x = -7
(BTW pls show your working out)
Answer: 1. [tex]x=-2[/tex]; 2. [tex]x=\frac{11}{9}[/tex]
Step-by-step explanation :
1.
[tex]6-5x=16\\6-5x-6=16-6\\-5x=10\\\frac{-5x}{-5}=\frac{10}{-5}\\x=-2[/tex]
2.
[tex]4-9x=-7\\4-9x-4=-7-4\\-9x=-11\\\frac{-9x}{-9}=\frac{-11}{-9}\\x=\frac{11}{9}[/tex]
Answer:
Q1) x =2 Q2) x = 11/9
Step-by-step explanation:
Q1) 6 - 5x = 16 check : -5(2) = -10
-6 -6 6 -- 10 = 6+ 10 = 16
-5x = 10 Q2) 4 - 9x = -7
-x = -2 -4 -4
x = 2 -9x = - 11
-------------- -x = -11 /9 -----> x = 11/9
U is the midpoint of TV and S is the midpoint of RT.
If RV=w and SU=w–30, what is RV?
Answer:
60
Step-by-step explanation:
By the triangle midsegment theorem, 2(SU)=RV.
2(w-30)=w, meaning w=60.
So, RV=60 as well
At a concession stand 6 hot dogs cost $6.72. At this rate, how much would 8 hot dogs cost, in dollars and cents?
Answer:
$8.96
Step-by-step explanation:
Since 6 hot dogs are $6.72, 1 hot dog would be that divided by 6, which is $1.12. Now we want the cost of 8 of those hot dogs, so we have to multiply by 8. Hence the answer is $1.12 * 8 = $8.96.
solve pls brainliest
Answer:
[tex] 1 \frac{2}{3}\: liters [/tex]
Step-by-step explanation:
[tex]V_{soda}[/tex] in one bottle = 5/9 liters
No of bottles = 3
Total volume of soda
[tex] = \frac{5}{9} \times 3 \\ \\ = \frac{5}{3} \\ \\ = 1 \frac{2}{3} \: liters[/tex]
Does anyone know the answer?
Answer:
I think the answer must be c because the length is 6\5 feet so there no chances to be the answer is more than so the base is divited and the ft should be multiplied
please help me with complement or supplement of an angles.
In the figure below, =m∠263°. Find m∠1.
Answer:
117
Step-by-step explanation:
This is an example of a supplementary angle, so in total it is 180 degrees. Subtract what we know angle 2 is, 63, and we are left with what angle 1 equals, which is 117.
Hope this helps! pls mark brainliest
please help me answer the question in the photo
Step-by-step explanation:
please mark me as brainlest
ans
[tex] \frac{3x}{x + 4} [/tex]
1) Find the slope of the line
2) find the slope between the two points
help please, thank you
Answer:
1 = 3/2
2 = -1/14
Step-by-step explanation:
The equation for the slope of a line is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] (difference in Y divided by the difference in X) or simply just Rise/Run.
For the first one, we have to pinpoint two points on the graph. There's one point placed on the x-axis 2 units away from the origin (2,0) and one four units to the right and 3 units up from the origin (4,3). Since it's on a graph, the easiest way to calculate it is by counting the units up and then right from (2,0) to (4,3). You can count that (4,3) is 3 units up and 2 units right from (2,0). Since slope is Rise/Run, the slope is 3/2.
For the second one, you can use the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. The Y of the second point is 2, and the Y of the first point is 1. The X of the second point is -17, and the X of the first point is -3.
You can plug all 4 numbers in to get (2-1)/(-17- -3)
2-1 = 1 and -17 - -3 = -14. So your slope is 1/-14 or -1/14.
Pamela is 6 years younger than Jiri. The sum of their ages is 78 . What is Jiri's age?
find the rate of interest.
Rs.8800,T=3.5years,I=Rs.2618
Answer:
Rate is 8.5%
Step-by-step explanation:
Step 1: Write the given terms
Principal (p)=Rs8800
Rate(r)=?
Time(t)=3.5 years
Interest=Rs2618
Step 2: Write the formula for calculating Simple interest
[tex]i = \frac{prt}{100} [/tex]
Step 3: Make r the subject of the equation
[tex]by \: cross \: multiplication \\ 100i = prt \\ divide \: both \: sides \: by \: pt \\ r = \frac{100i}{pt} [/tex]
Step 4: Find the value of r by substituting the values in step 1
[tex]r = \frac{100 \times 2618}{8800 \times 3.5} \\ r = \frac{261800}{30800} \\ r = 8.5[/tex]
Hence, the rate is 8.5%
Please help me I will mark brainliest to whoever answers
Step-by-step explanation:
All Natural Number (1,2,3,4,5...) are integers
All Whole numbers (0,1,2,3,4...) are not natural numbers (1,2,3,4...)
All integers are rational numbers
All real numbers are not irrational numbers as real nimber contain both rational and irrational numbers hence it is false.
Hence statement 1 and statement 3 are true
Answer:
The answeris D
Step-by-step explanation:
All whole numbers are natural numbers; natural numbers are numbers we use for counting 1, 2, 3....and so on, so that makes them whole because thay have no fraction, or decimils.
PLS HELP
A cone has a volume of 803.84 cubic millimeters and a radius of 8 millimeters. What is its height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
h ≈
millimeters
Answer:
3.19 millimeter round of nearest hundred
Evaluate the triple integral. X dv, where e is bounded by the paraboloid x = 4y2 4z2 and the plane x = 4. E
The triple integral that is bounded by a paraboloid x = 4y2 4z2 given as 16.762
Parabloid, x = 4y² + 4z²
plane x = 4
x = 4y² + 4z²
x = 4
4 = 4y² + 4z²
4 = 4 (y² + z² )
1 = y² + z²
from polar coordinates
y = r cos θ
z = r sin θ
r² = y² + z²
The limits of the integral0 ≤ θ ≤ 2π
4r² ≤ x ≤ 4
0 ≤ r ≤ 1
[tex]\int\limits\int\limits\int\limits {x} \, dV = \int\limits^1_0\int\limits^a_b\int\limits^c_d {x} \, dx ( rdrdz)[/tex]
where
a = 4
b = 4r²
c = 2r
d = 0
The first integral using limits c and d gives:
[tex]2pi\int\limits^1_0\int\limits^a_b {xr} \, dx[/tex]
The second integral using limits a and b
[tex]pi\int\limits^1_0 {16 } } \, rdr - pi\int\limits^1_0 {16r^{5} \, dx[/tex]
[tex]16pi\int\limits^1_0 { } } \, rdr - 16pi\int\limits^1_0 {r^{5} \, dx[/tex]
[tex]16pi\int\limits^1_0 { } } \, [r-r^{5}]dr[/tex]
The third integral using limits 1 and 0 gives: 16.762
Read more on Triple integral here: https://brainly.com/question/27171802
The triple integral that is bounded by a paraboloid x = 4y2 4z2 given as 16.762
What is integration?Integration is defined as adding small parts to form a new significant part.
Parabloid, x = 4y² + 4z²
plane x = 4
x = 4y² + 4z²
x = 4
4 = 4y² + 4z²
4 = 4 (y² + z² )
1 = y² + z²
from polar coordinates
y = r cos θ
z = r sin θ
r² = y² + z²
The limits of the integral
0 ≤ θ ≤ 2π
4r² ≤ x ≤ 4
0 ≤ r ≤ 1
[tex]\int\int\intxdV = \int_0_1\int_b_a\int_d_cxdx(rdrdz)[/tex]
where
a = 4
b = 4r²
c = 2r
d = 0
The first integral using limits c and d gives:
[tex]2\pi\int_0^1\int_b^axydx[/tex]
The second integral using limits a and b
[tex]\pi \int_0^116rdr-\pi\int_0^116r^5dx[/tex]
[tex]16\pi \int_0^1rdr-16\pi\int_0^1 r^5dx[/tex]
[tex]16\pi\int_0^1[r-r^5]dr[/tex]
The third integral using limits 1 and 0 gives: 16.762
Read more on Triple integral here:
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Amira decides to estimate the volume of an apple by modeling it as a sphere. She measures its circumference as 43.4 cm. Find the apples's volume in cubic centimeters. Round your answer to the nearest tenth if necessary.
The formula for the circumference of a circle (or a sphere) is [tex]2\pi r\\[/tex].
The formula the volume of a sphere is [tex]\frac{4}{3}\pi r^3[/tex].
Assuming 43.4 includes the pi, we can do the equation [tex]43.4=2\pi r[/tex]
Solving the equation, we get [tex]\frac{43.4}{2\pi } =r[/tex]
Substituting r into the formua for the volume of a sphere, we get [tex]\frac{4}{3} *\pi *(\frac{43.4}{2\pi } )^3[/tex]
Solving the cube (probably with a calculator), we get [tex]\frac{4}{3} *\pi *\frac{81746.504}{8\pi ^3}[/tex]
It is a bit messy, but we can simplify further by cancelling out the pi's, which leaves us with [tex]\frac{4}{3} *\frac{81746.504}{8\pi ^2}[/tex].
With the butterfly method (or whatever you may call it), we can cancel out the 4 in the numerator and the 8 in the denominator, and multiply the 3 in the denominators.
Which gets us this: [tex]\frac{81746.504}{6\pi ^2}[/tex]
Using a calculator, we get our final answer of (about) 1380.44cm^3
This was very messy, I apologize if I did make any mistakes.
A teacher used the change of base formula to determine whether the equation below is correct. (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = 3 Which statement explains whether the equation is correct? The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log (2 times 10) times log (4 times 8) times log (10 times 4). = log (20) times log (32) times log (40). =3 The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = StartFraction log 10 Over log 2 EndFraction times StartFraction log 8 Over log 4 EndFraction times StartFraction log 4 Over log 10 EndFraction. = StartFraction log 8 Over log 2 EndFraction. = 3 The equation is correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = StartFraction log 10 Over log 2 EndFraction times StartFraction log 8 Over log 4 EndFraction times StartFraction log 4 Over log 10 EndFraction. = StartFraction log 8 Over log 2 EndFraction. = 4. The equation is not correct since (log Subscript 2 Baseline 10) (log Subscript 4 Baseline 8) (log Subscript 10 Baseline 4) = log StartFraction 10 Over 2 EndFraction times log eight-fourths times log four-tenths. = log 5 times log 2 times log 0. 4. = negative 0. 8.
The solution to the problem is correct and the correct option from the given options is B.
What is Logarithm?A log function is a way to find how much a number must be raised in order to get the desired number.
[tex]a^c =b[/tex]
can be written as
[tex]\rm{log_ab=c[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.
The given logarithmic problem can be solved in the following manner, therefore,
[tex]\rm log_210\ log_48\ log_{10}4\\\\[/tex]
Using the logarithmic properties, we can write,
[tex]=\rm \dfrac{log10}{log2}\cdot \dfrac{log8}{log4}\cdot \dfrac{log4}{log10}\\\\[/tex]
Now cancelling out the values we will get,
[tex]=\rm \dfrac{log2^3}{log2}\\\\=\rm \dfrac{3log2}{log2}\\\\= 3[/tex]
Thus, the solution to the problem is correct and the correct option from the given options is B.
Learn more about Logarithm:
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Answer:
B
Step-by-step explanation:
on edge
Marcy charges $3 to walk a small dog and $5 to walk a big dog. If Marcy walks 15 small dogs and 6 big dogs, how much money will she make?
Answer:
hee-hee!
Step-by-step explanation:
Marcy charges $3 to walk a small dog and $5 for a big dog.
She walks 15 small dogs and 6 big dogs.
We can use an expression that would show the problem:
3s + 5b
(s = small dogs & b = big dogs)
s = 15 | b = 6
3(15) + 5(6)
45 + 30 = 75
Marcy earns $75 of profit.
need some help with these questions in the image
a. answer:_77
2_ (7 * 9) _ 16
2_ (63) _16
_61_16
_77
1. Find the Area of the Sector:
2. Find the length of the missing side:
Answer:
1) 14.137 2)10
Step-by-step explanation:
area of sector is central angle / 360 times (pi)(r^2)
45/360 x pi (6^2)
1/8 x 36pi
14.137
3-4-5- right triangle. Or Pythagorean Theorem.
6^2 + 8^2 = c^2
c= 10