Answer:
30
Step-by-step explanation:
45+45 = 90
150-90 = 60
60/2 = 30
I think...
3n+4 sequence
4n-5 sequence
Answer:
Step-by-step explanation:
3n +4 sequence
n = 1 , 3*1 + 4 = 3 + 4 = 7
n = 2 ; 3*2 + 4 = 6 + 4 = 10
n = 4 ; 3*3 + 4 = 9 + 4 = 13
n = 5 ; 3 *4 + 4 = 12 + 4 = 16
Sequence : 7, 10, 13 , 16, ........
4n - 5
n= 1 ; 4*1 - 5 = 4 - 5 = -1
n = 2; 4*2 - 5 = 8 - 5 = 3
n = 3 ; 4*3 - 5 = 12 - 5 = 7
n = 4 ; 4*4 - 5 = 16 - 5 = 11
Sequence: -1, 3 , 7 , 11 ,........
David is going to an amusement park. The price of admission into the park is $20,
and once he is inside the park, he will have to pay $5 for every ride he rides on. How
much
money would David have to pay in total if he goes on 10 rides? How much
would he have to pay if he goes on r rides?
Answer:
$70.00
y=5r+20
Step-by-step explanation:
1. y=5(10)+20
y=70
The cost he will pay for 10 rides will be $70 and for r rides will be [tex]20+5r[/tex].
Given,
The price of admission into the park is $20.
The price for each ride is $5
David takes 10 rides,
So, the cost he will pay if he took 10 rides will be,
[tex]c_1=20+5 \times 10\\c_1=20+50\\c_1=70$[/tex]
If he had r rides,
So, the cost he will pay if he took r rides will be,
[tex]c_2=20+5 \times r\\c_2=20+5r[/tex]
Therefore, the cost he will pay for 10 rides will be $70 and for r rides will be[tex]20+5r[/tex].
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HELP!!! 15 points. picture below
Step-by-step explanation:
[tex] \sin( \alpha ) = \frac{ \sqrt{5} }{3} \\ \alpha = 48.19 \: degrees \\ \cos( \alpha ) = \frac{2}{3} [/tex]
Answer:
cos theta =± 2/3
Step-by-step explanation:
sin theta = sqrt(5) /3
sin theta = opp side / hypotenuse
We know that
a^2 + b^2 = c^2 from the pythagorean theorem
opposite side ^2 + adjacent side ^2 = hypotenuse ^2
( sqrt(5)) ^2 + adjacent side ^2 = 3^2
5 + adjacent side ^2 = 9
Subtract 5 from each side
5-5 + adjacent side ^2 = 9-5
adjacent side ^2 = 4
Taking the square root of each side
adjacent side = ±2
We know that
cos theta = adj side / hyp
cos theta =± 2/3
write and expression for the perimeter of a rectangle with length L and width 6
Answer:
P = 2(L + 6)
Step-by-step explanation:
The perimeter (P) of a rectangle is = 2(Length + Width)
Length = L
Width = 6
.: P = 2(L + 6)
10. There is a carnival at a local state park. It cost $5 to get in and $1.50 per ride.
Suppose Maya Mapleton has $25 to spend for the day. Which inequality would
model this situation?
5+1.50x 2 25
5x + 1.50 s 25
5 + 1.50x s 25
0 25x +1.50 s 5
Answer:
C. 5+ 1.50x is less than or equal to 25
Step-by-step explanation:
Maya has 25 dollars to spend, and it cost 5 to get in. Each ride will cost her 1.50, so she has to spend up to or less than 25 on the entry fee and each ride.
which of these graphs represents a function
Answer:
W
Step-by-step explanation:
The vertical line test is a simple tool to determine if a graph is a function. Draw a vertical line through the graph. If at any point where you draw this line you hit the relation twice or more you know it to not be a function. What I mean is that if you have multiple Y's for a single X, then it cant be a function.
Side note: Vertical is up and down, like the line in X.
The function f(x) = log4x is dilated to become g(x) = f (1/3x).
What is the effect on f(x)?
Given:
The functions are:
[tex]f(x)=\log_4x[/tex]
[tex]g(x)=f\left(\dfrac{1}{3}x\right)[/tex]
The function f(x) is dilated to become g(x).
To find:
The effect on f(x).
Solution:
Transformation is defined as:
[tex]g(x)=f(kx)[/tex] ...(i)
Where, k is the factor of horizontal stretch and compression.
If 0<k<1, then the graph of f(x) stretched horizontally by factor [tex]\dfrac{1}{k}[/tex].
If k>1, then the graph of f(x) compressed horizontally by factor [tex]\dfrac{1}{k}[/tex].
It is given that
[tex]g(x)=f\left(\dfrac{1}{3}x\right)[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]k=\dfrac{1}{3}[/tex]
Therefore, the graph of f(x) stretched horizontally by factor [tex]3[/tex].
Translate into algebra,
the sum of twice the number x and 25 more than 3 times the number y
Answer: The expression would look like 2x+(25+3y).
Step-by-step explanation:
Let the number be x
2x+(25+3y)
The algebraic expression will be [tex]2x+(25+3y)[/tex] .
What is expression ?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
A number [tex]x[/tex]
Number [tex]y[/tex],
The sum of twice the number [tex]x[/tex] and [tex]25[/tex] more than [tex]3[/tex] times the number [tex]y[/tex] ,
So,
According to the question,
sum of twice the number [tex]x[/tex] [tex]=2x[/tex]
And,
ore than [tex]3[/tex] times the number [tex]y[/tex] [tex]=25+3y[/tex]
Now,
The whole algebraic expression,
[tex]2x+25+3y[/tex]
Hence, we can say that the algebraic expression will be [tex]2x+(25+3y)[/tex] .
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I need help.please with this math problem
Answer:
1372 cubic centimeters
Step-by-step explanation:
V = 4/3(π)(r^3)
Exchange π for 3
4/3(3)(r^3) = ?
Exchange r for the radius, 7
4/3(3)(7^3) = ?
4/3(3)(343) = ?
4(343) = 1372
1372 cubic centimeters
The zeros of polynomial function g are -5, -1, and 7. Complete the factors to write an equation for function g. Assume that g has only three zeros and three factors.
Answer:
g(x) = (x + 5)(x + 1)(x - 7)
Step-by-step explanation:
i know for a fact im right
The complete equation of function whose zeros are given;
f(x) = (x+5)(x+1)(x-7)
What is Polynomial?
A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number.
Here, given zeros are;
-5, -1, 7
then we can write;
x = -5, x = -1; x = 7
x +5 = 0 ; x + 1 = 0 ; x - 7 = 0
On multiplying all the terms we get;
(x+5)(x+1)(x-7) = 0
Thus, The complete equation of function whose zeros are given;
f(x) = (x+5)(x+1)(x-7)
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What happens when f(x) becomes -f(x-4)
f(x) -> - f(x): Relflection across x-axis
-f(x) -> -f(x-4): Vertical Translation right 4 units
How do you write 9% as a decimal?
Answer:
0.09
Step-by-step explanation:
9% written as a decimal is 0.09
8%=0.08
7%=0.07
6%=0.06
5%=0.05
4%=0.04
3%=0.03
2%=0.02
1%=0.01
help asap no wrong answers----------------------
Answer:
[tex]y=-2(sin(2x))-7[/tex]
Step-by-step explanation:
1. Approach
Given information:
The graph intersects the midline at (0, -7)The graph has a minimum point at ([tex]\frac{\pi}{4}[/tex], 9).What conclusions can be made about this function:
The graph is a sine function, as its y-intercept intersects the midlineThis graph has a negative coefficient, this is because after intersecting the midlines at the y-intercept, the function has a minimum.This graph does not appear to have undergone any horizontal shift, as it intercepts the midlines with its y-interceptTherefore, one has the following information figured out:
[tex]y=-n(sin(ax))+b[/tex]
Now one has to find the following information:
amplitudemidlineperiod2. Midline
The midlines can simply be defined as a line that goes through a sinusoidal function, cutting the function in half. This is represented by the constant (b). One is given that point (0, -7) is where the graph intersects the midline. The (y-coordinate) of this point is the midline. Therefore, the midline is the following:
y = -7
2. Amplitude
The amplitude is represented by the coefficient (n). It can simply be defined by the distance from the midline to point of maximum (the highest part of a sinusoidal function) or point of minimum (lowest point on the function). Since the function reaches a point of minimum after intercepting the (y-axis) at its midlines, the amplitude is a negative coefficient. One can find the absolute value of the amplitude by finding the difference of the (y-coordinate) of the point of minimum (or maximum) and the absolute value of the midline.
point of minimum: [tex](\frac{\pi}{4},9)[/tex]
midline: [tex]y=-7[/tex]
Amplitude: 9 - |-7| = 9 - 7 = 2
3. Period
The period of a sinusoidal function is the amount of time it takes to reach the same point on the wave. In essence, if one were to select any point on the sinusoidal function, and draw a line going to the right, how long would it take for that line to reach a point on the function that is identical to the point at which it started. This can be found by taking the difference of the (x- coordinate) of the intersection point of the midline, and the (x-coordinate) of the point of minimum, and multiplying it by (4).
point of minimum: [tex](\frac{\pi}{4},9)[/tex]
midline intersection: [tex](0, -7)[/tex]
Period: [tex]4(\frac{\pi}{4}-0)=4(\frac{\pi}{4})=\pi[/tex]
However, in order to input this into the function in place of the variable (a), one has to divide this number by ([tex]2\pi[/tex]).
[tex]a=\frac{2\pi}{\pi}=2[/tex]
4. Assemble the function
One now has the following solutions to the variables:
[tex]n =-16\\a=2\\b=-7\\[/tex]
Substitute these values into the function:
[tex]y=-2(sin(2x))-7[/tex]
15) The ratio of girls to boys is 1:2 and that there are 22 boys, what is the number of girls?
Answer:
11
Step-by-step explanation:
first you sum the ratios
1+2=3
[tex] \frac{2}{3} \times x = 22 \\ 2x = 66 \\ x = 33 \\ this \: mean \: that \: we \: have \: 33 \: \\ students[/tex]
since boys are 22 , all we have to do is to subtract 22 from 33 the answer would be 11
therefore we have 11 girls.
Answer:
its 11
Step-by-step explanation:
Jernel has to figure out the area of her square garage. She knows that one side of the garage is equal to the length of her rabbit pen. The dimensions of the rectangular rabbit pen are 13 by 10.
Answer:169
Step-by-step explanation:13 x 13 = 169
You would take the larger side of the pen (13) or else it wouldn’t fit if you chose 10.
Find the measure of arc BC?
Answer:
129
Step-by-step explanation:
Since,
AD = BC
AD = 3x + 24
BC = 4x - 11
3x + 24 = 4x - 11
4x - 11 = 3x + 24
4x - 3x = 24 + 11
x = 35
BC = 4x - 11
= 4 ( 35 ) - 11
= 140 - 11
BC = 129
Answer:
[tex]AB=BC[/tex]
[tex]3x+24=4x-11[/tex]
[tex]3x-4x=-11-24[/tex]
[tex]x=35[/tex]
[tex]BC=4\times 35-1[/tex]
[tex]=140-11[/tex]
[tex]=129[/tex]
--------------------------
Hope it helps..
Have a great day!!
Q5. Evaluate this expression when a=6
Q6. Which option shows this expression simplified correctly?
Q7. Which option shows this expression simplified correctly?
Q8. Find the following:
Q9. Which option shows this expression expanded correctly?
solve for x−4 + x ≤ 9
Answer:
x ≤ 6.5
Step-by-step explanation:
x−4 + x ≤ 9
Combine like terms
2x-4≤ 9
Add 4 to each side
2x-4+4≤ 9+4
2x≤ 13
Divide by 2
2x/2 ≤ 13/2
x ≤ 6.5
Which of the two-dimensional cross sections listed below could be created by cutting a cube with a plane?
Select all that apply.
pentagon
circle
square
hexagon
rectangle
triangle
What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor ?
Answer:
The vertices of ABCD:
A ( - 3, 1 )
B ( 4 , - 3 )
C ( 1, 3 )
D ( - 1 , 4 )
∴ ( 4 x, 4 y ):
A ` ( - 12, 4 )
B ` ( 16, - 12 )
C ` ( 4, 12 )
D ` ( - 4 , 16 )
Step-by-step explanation: I hope this helps! ™(*/ω\*)
Find the percentage of the following:
20/60
18/60
21/60
31/60
Answer:
20/60 = 33%
18/60 = 30%
21/60 = 35%
31/60 = 52%
Step-by-step explanation:
Just divide em'
Simple as that.
Answer:
20/60 = 33%18/60 = 30%21/60 = 35%31/60 = 51.67%I hope th is helps you I just divided the fractions by the way :)
WORD PROBLEM -
Sohanlal is a gardener He is paid 160 daily find how much money will he get in the month of September
GIVE ME UR ANSWERS SOON PLS
If the outliers are not included what is the mean of the data set 76,79,80,82,50,78,79,81,82
Answer:
The answer is 80
Step-by-step explanation:
we know that
the outlier is 50, as it is not around the other numbers in the data set.
therefore
mean=[76+ 79 + 80 + 82+ 78 + 83 + 79 + 81 + 82]/9
mean=[720]/9
mean=80
Answer:
80
Step-by-step explanation:
mean=[76+ 79 + 80 + 82+ 78 + 83 + 79 + 81 + 82]/9
mean=[720]/9
mean=80
solve: 5y +12 - 3y + 12 = 18
Answer:
5y-3y+12+12=18
2y = 18 - 24
y = -6/2
y = -3
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{5y + 12 - 3y + 12 = 18}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\textsf{(5y - 3y) + (12 + 12) = 18}\\\\\large\text{NEW EQUATION: \textsf{2y + 24 = 18}}\\\\\large\text{SUBTRACT 24 to BOTH SIDES}\\\\\large\textsf{2y + 24 - 24 = 18 + 24}\\\\\large\text{Cancel out: \textsf{24 - 24} because it gives you 0}\\\\\large\text{Keep: \textsf{18 - 24} because it helps solve it helps solve for y}\\\\\large\textsf{18 - 24 = \bf -6}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{2y = -6}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\mathsf{\dfrac{2y}{2y}=\dfrac{-6}{2}}\\\\\large\text{Cancel out: }\mathsf{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\mathsf{\dfrac{-6}{2}}\large\text{ because it gives you the y-value}\\\\\large\textsf{y = }\mathsf{\dfrac{-6}{2}}\\\\\mathsf{\dfrac{-6}{2}= \bf -3}\\\\\\\\\\\boxed{\boxed{\huge\textsf{Answer: y = \bf -3}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Help fast please in a test and don’t know the answer I have tried Googling and everything please help
Answer:
Surface Area = 3,543.7 cm²
Step-by-step explanation:
Surface area of the cylinder = 2πr(h + r)
Where,
radius (r) = 12 cm
height (h) = 35 cm
Plug in the values into the surface area formula
S.A = 2*π*12(35 + 12)
S.A = 24π(47)
S.A = 3,543.71651 cm²
≈ 3,543.7 cm² (approximated to the nearest tenth)
For a given event, what is the result of dividing the number of successful
outcomes by the number of possible outcomes?
A. Outcomes
ОО
B. Probability
h
c. Sample space
D. Empirical data
Answer: B. Probability
For example, let's say you want to know the probability of flipping tails.
There's 1 way to get tails out of 2 sides total. So 1/2 = 0.5 is the probability of flipping tails.
We define "success" as "getting tails".
Evaluate (5.6 x 10^-4 ) - (9.3x10^-6)
Give your answer in standard form to 3SF
Answer:
I got 5.51x10^-4
Step-by-step explanation:
Answer:
.0005507
Step-by-step explanation:
5.6 x [tex]10^{-4}[/tex]
9.3 x [tex]10^{-6}[/tex]
560 x [tex]10^{-6}[/tex]
- 9.3 x [tex]10^{-6}[/tex]
550.7 x [tex]10^{-6}[/tex]
.0005507
If f(x) =3x^2 +1 and g(x) = 1 -x, what is the value of (f-g) (2)?
Answer:
(f-g)(2) = 14
Step-by-step explanation:
f(x) =3x^2 +1 and g(x) = 1 -x
f(2) = 3(2)^2 +1 = 3(4)+1 = 12+1 = 13
g(2) = 1-2 = -1
f(2) - g(2) = 13 - -1 = 13+1 =14
Answer:
14
Step-by-step explanation:
(f-g)(2) means f of x minus g of x when x equals 2.
To solve, first set up the equation
[tex](3x^2}+1)-(1-x)[/tex]
Change the signs in the second part. {because this is subtraction}
[tex]3x^2}+1-1+x[/tex]
Replace x with 2.
[tex]3(2^2})+1-1+2[/tex]
Solve.
[tex]3(4)+2[/tex]
[tex]12+2[/tex]
[tex]14[/tex]
11 red marbles, 9 blue marbles and 20 green marbles as a ratio in its simplest form
Answer:
11 red
9 blue
20 green
as a ration is
11:9:20
since 9 and 11 are even numbers and can't be simplified
400th answer
Hope This Helps!!!
Determine the equation of a vertical line that passes through the point (-5,-2).
Answer:
Step-by-step explanation:
A vertical line is an "x = " equation. To find out what this equation is, just plug in the value that satisfies the x value in the coordinate:
x = -5
If we were looking for the horizontal line that goes through that same point, we only need remember that a horizontal line is a "y = " line. To find out what this equation is, just plug in the value that satisfies the y value in the coordinate:
y = -2