Answer:
5,120
Step-by-step explanation:
5x4=20
20×4=80
80x4=320
320x4=1,280
1,280x4=5,120
Hope this helps! :)
Answer:
Step-by-step explanation:
first term a=5
common ratio r=20/5=4
[tex]a_{n}=ar^{n-1}\\a_{6}=5(4)^{6-1}\\=5(4)^5\\=5120[/tex]
a straight line has equation y=5-3x
what is the gradient of the line?
Answer:
-3
Step-by-step explanation:
1. rearrange so it's in the formula y=mx+C
2. y=-3x+5
y=mx+C
M=gradient
-3=m
gradient= -3
Se desea construir un parque con forma de sector circular con un radio de 402 pies y un ángulo central de 45°. ¿Cuál será la superficie ocupada por dicho parque?
Answer:
63462 pies
Step-by-step explanation:
De la pregunta anterior, debemos encontrar el área del sector
La fórmula se da como:
θ / 360 × πr²
Dónde:
θ = 45 °
radio = 402 pies
Área del sector =
45/360 × π × 402²
= 63461.742399 pies
Aproximadamente el área de la ocupada por el parque = 63462 pies
14.
Which of the quadratic functions has the narrowest graph?
A. 9x2
B. 2/5x2
C. -10x2
D. -0.9x2
Answer:
A. 9x2
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
1
36
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
1
36
x
y
−
1
9
0
0
1
9
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
0
)
Focus:
(
0
,
5
8
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
5
8
x
y
−
2
8
5
−
1
2
5
0
0
1
2
5
2
8
5
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
1
40
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
1
40
x
y
−
1
−
10
0
0
1
−
10
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
0
)
Focus:
(
0
,
−
0.2
¯
7
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
0.2
¯
7
x
y
−
2
−
3.6
−
1
−
0.9
0
0
1
−
0.9
2
−
3.6
can someone help please !! giving brainlist to anyone who answers
3 is the correct one!
Write an equation of a line that passes through (3, -1) and is perpendicular to y = 6x - 4.
Answer:
[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]
Step-by-step explanation:
We want to write the equation of a line that passes through the point (3, -1) and is perpendicular to the line:
[tex]y=6x-4[/tex]
Remember that the slopes of perpendicular lines are negative reciprocals of each other.
The slope of the given equation is 6.
So, the slope of our perpendicular line is the negative reciprocal of 6, which is -1/6.
Next, we are given that it passes through the point (3, -1). Since we are given a point and know the slope, we can use the point-slope form. Point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
We will substitute -1/6 for m and (3, -1) for (x₁, y₁). Hence:
[tex]\displaystyle y-(-1)=-\frac{1}{6}(x-(3))[/tex]
Simplify:
[tex]\displaystyle y+1=-\frac{1}{6}(x-3)[/tex]
Our answer is valid as it as, but we can simplify this into slope-intercept form. Distribute:
[tex]\displaystyle y+1=-\frac{1}{6}x+\frac{1}{2}[/tex]
And subtract one from both sides. Therefore, our equation is:
[tex]\displaystyle y=-\frac{1}{6}x-\frac{1}{2}[/tex]
Hey!! Can you guys help me !!
No links!!
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Ahmed paid $34 000 for a car. His car decreased in value by 40% at the end of the first year. The value at the end of the second year was 10% less than the value at the end of the first year. . Calculate the value of Ahmed's car after 2 years .
40% of 34 000
40/100 * 34 000 = 13 600
subtract : 34000 - 13 600 = 20 400
Second step:10% of 20 400
10/100 * 20 400 = 2040
subtract : 20 400 - 2040 = $ 18 360
Final Answer = $ 18 360please help meeeeeeee
https://youtu.be/QnydfcNVJoQ
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channel name sabrina clodia
Answer:
x + y = 60
Step-by-step explanation:
[tex]2x + 2y + 60 = 180 \\ 2x + 2y = 180 - 60 \\ 2x + 2y = 120 \\ \frac{2x + 2y}{2} = \frac{120}{2} \\ x + y = 60 \\ [/tex]
A circle in the standard (x,y) coordinate plane has
center C(−1,2) and passes through A(2,6). Line
segment AB
___ is a diameter of this circle. What are the
coordinates of point B ?
Given:
Center of a circle is at point C(-1,2).
AB is the diameter of the circle.
Coordinates of the point A are A(2,6).
To find:
The coordinates of point B.
Solution:
Let the coordinates of point B are (a,b).
If AB is the diameter of the circle, then A and B are end points of diameter of the circle and the center C is the midpoint of AB.
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Point C = Midpoint of AB
[tex](-1,2)=\left(\dfrac{2+a}{2},\dfrac{6+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{2+a}{2}=-1[/tex]
[tex]2+a=-1\times 2[/tex]
[tex]a=-2-2[/tex]
[tex]a=-4[/tex]
Similarly,
[tex]\dfrac{6+b}{2}=2[/tex]
[tex]6+b=2\times 2[/tex]
[tex]b=4-6[/tex]
[tex]b=-2[/tex]
Therefore, the coordinates of point B are (-4,-2).
What percent of 602 is 358?
Answer:
168.16%
Step-by-step explanation:
Write an equation that meets these criteria:
1. It has a solution of x=5.
2. It includes the numbers 3, 7, and 8, and at least
two different operations (addition, subtraction,
multiplication, and division.)
Answer:
3x = 7 + 8
Step-by-step explanation:
3x = 7 + 8
3x = 15
x = 3
The breakdown of a sample of a chemical compound is represented by the function p(t) = 500 (0.25)^t, where p(t) represents the number of milligrams of the substance and t represents the time. In years. In the function p(t), explain what 0.25 and 500 represent.
Given:
The function is:
[tex]p(t)=500(0.25)^t[/tex]
Where p(t) represents the number of milligrams of the substance and t represents the time.
To find:
The correct explanation for the number 0.25 and 500 in the given function.
Solution:
The general exponential function is:
[tex]y=ab^x[/tex] ...(i)
Where, a is the initial value and b is the growth/decay factor. If [tex]0<b<1[/tex], then decay factor and if [tex]b>1[/tex], then growth factor.
We have,
[tex]p(t)=500(0.25)^t[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=500[/tex], it means initial there are 500 milligrams of the substance.
[tex]b=0.25[/tex], this value is less than 1, it means the substance is decreasing by a factor of 0.25.
Therefore, 0.25 means the substance is decreasing by a factor of 0.25 and 500 means the initial value of substance is 500 milligram.
i need helppp helpp me pleaseeeee!!
Answer:
y = 6
Step-by-step explanation:
Answer:
i helped
Step-by-step explanation:
Step 1: Subtract 3 from both sides of the inequality.
Step 2: __________
Step 3: Divide both sides of the inequality by the coefficient of x.
What is the missing step in solving the inequality 5 – 8x < 2x + 3?
Answer:
I’m gay
Step-by-step explanation:
Answer:
Add 8x to both sides of the inequality.
Step-by-step explanation:
I got it right
Find the area of this triangle.
Round to the nearest tenth.
7 m
125°
14 m
?] m2
Enter
Answer:
40.1
Step-by-step explanation:
i just did it and got it right
which statement would be true if you evaluate the expression (980+205)÷5
a. the solution is 5 times as small as 980-205
b. the solution is 5 times as small as 980+205
c. the solution is 5 times as large as 980+205
d. the solution is 5 times as large as 980-205
PLEASE I NEED THE ANSWER WITH THE EXPLANATION DON'T IGNORE MY QUESTION!!!
The
mean of six numbers is 12.five of the numbers
are 11,7,21,14 and 9. calculate the sixth number.
The answer is attached. I hope this helps answer your question!
Answer:
10
Step-by-step explanation:
data=11,7,21,14,9,x
mean=sum of data/no of data
12=11+7+21+14+9+x/6
12*6=62+x
72-62=x
10=x
therefore sixth number is 10.
Jake has 12 sheep all but 9 die how many does he left ?
12
9
3
Answer:
Jake has 9 sheep left
Step-by-step explanation:
As the question says, Jake has 12 sheep and all but 9 die. This means that he has 9 sheep left.
Answer:
3
Step-by-step explanation:
Jake has 12 sheeps but 9 died
Jake loss 9 sheeps
Solution:
12-9
=3
Which expression entered into a graphing calculator will return the probability
that at most 10 heads come up when flipping a coin 25 times?
A. binomcdf(25, 10,0.5)
B. binomcdf(10, 0.5, 25)
C. binomcdf(25, 0.5, 10)
D. binomcdf(10,25, 0.5)
SUBMIT
How much money should be deposited in an account today that earns 4% compounded monthly so that it will accumulate to $10,000 in 5 years?
Answer:
$8206.37
Step-by-step explanation:
According to the Question,
Given, Some money should be deposited in an account today that earns 4% interest Annually. but it is compounded monthly so (4/12)% Will be the new interest Rate .
Now, What Money Should be Invested For 5 years(60 months) to get $10000 in Return .
The Formula for Compound interest is [tex]A=P(1+\frac{r}{n})^{nt}[/tex] .
We have, r=4% , n=12 , t=5 & A=$10000 Put These all value in above equation.
[tex]10000=P(1+\frac{0.04}{12})^{60}[/tex]
[tex]P= \frac{10000}{1.0033^{60} }[/tex] ⇔ $8206.37 Should be invested .
Michael has 2 hats, 3 shirts, and 8 pants. How many different ways can he wear the outfits if he wears one of each?
Answer:
2
Step-by-step explanation:
help ill give brainliest
Answer:
Bottom Left
Step-by-step explanation:
We can check by seeing the numbers with the tens place that has the digit 1.
We have numbers 10, 10, 15, 15, 15
That means one's digit values of 0, 0, 5, 5, 5
The bottom left is the only option.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: bottom left
Step-by-step explanation:
In 7 years, Tom will be half as old as Patty. Using P to represent Patty’s age now, write an expression for Tom’s age in 7 years.
Answer:
(P + 7) / 2 or 1/2(P+7)
Happy learning!
--Applepi101
30 square units is how much units ?
Answer: 30 units
:))
What is the interquartile range of the data set shown below?
25, 28, 32, 35, 36, 40, 46
Answer:
IQR = 12
Step-by-step explanation:
interquartile range is the difference between quartile 3 and quartile 1
in this set of data Q3 = 40 and Q1 = 28
so IQR = 12
Thank you everyone for helping me this year to get good grades I am giving points.
How can you determine whether a linear binomial is a factor of a polynomial without using the remainder theorem?
A linear binomial is a factor of a polynomial if the polynomial value is 0 at the zeros of the linear binomial
How to determine the factor?Assume a polynomial function is
P(x) = (x - 3)(x + 1)(x -2)
And a linear binomial is:
x - 3 = 0
We start by calculating the value of x in x - 3 = 0
x = 3
Next, we substitute x = 3 in P(x) = (x - 3)(x + 1)(x -2)
P(3) = (3 - 3)(3 + 1)(3 -2)
Evaluate
P(3) = 0
Since P(3) = 0, then the linear binomial x - 3 is a factor of P(x) = (x - 3)(x + 1)(x -2)
Read more about remainder theorem at:
https://brainly.com/question/13328536
#SPJ1
Here are the equations of two different graphs: y = x-7 and y = 3x - 7 Are the gradients of the graphs the same or different? Explain how you know.
help please
Answer:
this two graph is not same because they have different slopes for this they are not same
Work out 2/3 of 30.
2/3 of 30
30:3=10
10*2=20
2/3 of 30 = 20
Answer:
20
Step-by-step explanation:
of means multiply
2/3 * 30
60/3
20
If GH = HI And FI =10 what is GI
Answer:
20
Step-by-step explanation:
By HL and CPCTC, GF = FI, so GI = 2FI = 2(10) = 20.
I will give 25 points for it if solve this problem
Answer:
5/27
30/81 = 10/17
it's just ratios but if you need then vice versa, swap numerator and denominator
Answer:
the person on top is correct :)
Step-by-step explanation: