Answer:
[B] $6.88
Step-by-step explanation:
HELP PLEASE HURRY
THANKS
Answer:
Step-by-step explanation:
what is the sum of the first 5 terms of a geometric series with a sub 1 = 10 and r = 1/5?
Answer:
12.496
Step-by-step explanation:
a=10 (first term)
r= 1/5 (common ratio)
sum of first five terms
[tex] s_{5} = \frac{a( 1 - {r}^{n} ) }{1- r} [/tex]
=10{1-⅕⁵} ÷ 1-⅕
=10{1 - 1/3125} ÷ 4/5
=10{3124/3125} ÷ 4/5
=9.9968÷0.8
=12.496.
OR
a+ar+ar²+ar³+ar⁴
=10+(10x⅕)+(10x⅕²)+(10x⅕³)+(10x⅕⁴)
=10+2+0.4+0.08+0.016
=12+0.48+0.016
=12.496
Which of the following functions represent exponential decay?
An exponential decay function goes down to the right, like in the picture attached.
An exponential function follows this format: [tex]y=ab^x[/tex], where b is less than 1 and more than 0. b is more than 0 but less than 1 in function A.
Pl ease H e l p I'm literally desperate-
If f(x) = 4x - 5 and g(x) = 7x -3, Show all steps & work. Find:
(f + g) (x)
and
(f * g) (x)
Answer:
f+g = 11x-8
f*g = 28x^2 - 47x+15
Step-by-step explanation:
f(x) = 4x - 5 and g(x) = 7x -3
(f+g)(x) = 4x - 5 + 7x -3
Combine like terms
= 4x+7x -5-3
= 11x-8
(f * g) (x) = ( 4x - 5) (7x -3)
FOIL
= 4x*7x + 4x(-3) + (-5)(7x) + (-5)(-3)
=28x^2 -12x-35x+15
Combine like terms
=28x^2 - 47x+15
Step-by-step explanation:
Step 1: Find (f + g)(x)
The definition of (f + g)(x) is f(x) + g(x). Basically add the two functions together.
[tex]f(x) + g(x)[/tex]
[tex](4x - 5) + (7x - 3)[/tex]
[tex]11x - 8[/tex]
Answer: [tex]11x - 8[/tex]
Step 2: Find (f * g)(x)
The definition of (f * g)(x) is f(x) * g(x). Basically multiply the two functions together.
[tex]f(x) * g(x)[/tex]
[tex](4x - 5) * (7x - 3)[/tex]
[tex](4x * 7x) + (4x * -3) + (-5 * 7x) + (-5 * -3)[/tex]
[tex](28x^{2}) + (-12x) + (-35x) + (15)[/tex]
[tex]28x^{2} - 47x + 15[/tex]
Answer: [tex]28x^{2} - 47x + 15[/tex]
What is the following product?
Answer:
D
Step-by-step explanation:
(5√2 - 4√3)^2 =
50 + 48 - 40√6 = 98 - 40√6
If the ratio of plums to peaches to kiwis is 10:4:5, how many plums are there if the total number of fruits is 190?
Answer:
The answer is 100:40:50
Answer:
131 plums
Step-by-step explanation:
The fraction of plums = 10/(10+4.5)
= 10/14.5
= 100/145
So the required number of plums = 100 * 190 /145
= 131.
After draining 8 gallons from a tub of water
, there were still 12 gallons left
How many gallons of water were in the tub to start?
Answer: 20
Step-by-step explanation:
X - 8 = 12
+ 8 +8
X = 20
20 gallons were in the tub to start with
Given TVW,MZV = 90°, TV = 14, and VW= 9,
which of the following choices is used to find mZW?
here's the answer to your question
what is the answer to 4 (2/5) /6
Answer:
= 4/15
Step-by-step explanation:
=4 . 2/5 /6
= 4/15
Answer:
0.26
Step-by-step explanation:
4 (2/5) /6
2/5 = 0.4
4 × 0.4 = 1.6
1.6 / 6 = 0.26
The answer is 0.26
A civil servant had a salary of Rs 9600. Tax up to Rs 85000 per year would be exempted. If he paid Rs 4530 as a tax, how much percent of tax was imposed?
Answer:
4%
Step-by-step explanation:
Yearly salary = 9600 * 12 = Rs. 115200
Tax = Rs . 4530
[tex]Tax \ percent = \frac{4530}{115200}*100[/tex]
= 3.93 = 4%
Can anyone help me ? I just need the numbers
Answer:
(-6, 0) and (0, 1.5)
Step-by-step explanation:
The equation of the line in pint slope form is expressed as;
y-y0= m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given
m = 1/4
(x0, y0) = (6,3)
Substitute into the formula;
y - 3 = 1/4(x-6)
4(y-3) = x - 6
4y - 12 = x-6
4y - x = -6+12
4y - x = 6
x = 4y - 6
To get the points to plot, we will find the x and y-intercept of the resulting expression.
For the x-intercept,
at y = 0
x = 4(0) - 6
x = -6
Hence the x-intercept is at (-6, 0)
For the y-intercept,
at x = 0
0 = 4y - 6
4y = 6
y = 6/4
y = 3/2
y = 1.5
Hence the y-intercept is at (0, 1.5)
Hence the required points to plot to get the required line are (-6, 0) and (0, 1.5)
How to find the measure of n
Answer:
6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
we use Euclidian theorem to find n
n^2 = 6*18
n^2 = 108
n = 6[tex]\sqrt{3}[/tex]
342225 square root by division method pls give the steps
Answer:
185 is the square root of 34225
Step-by-step explanation:
hope you understood!!
Determine which theorm should be user , and find AB
Step-by-step explanation:
perpendicular bisector
AB= 17
Which angles are supplementary to each other?
• Angle 7 and Angle 3
• Angle 9 and Angle 12
• Angle 6 and Angle 12
• Angle 12 and Angle 10
Answer:
∠9 and ∠12
Step-by-step explanation:
Supplementary angles are two angles that add up to 180. Looking at all the answer choices, A, C, and D have either Big-Big angle or Small-Small angle. What we need is Big-Small angle that is next to eachother, which is ∠9 and ∠12.
Hope this helped.
(Also sorry!)
Instructions: Find the measure of the indicated angle to the nearest
degree.
?
?
3
7
?
Answer:
x = 23
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan ? = 3/7
Taking the inverse tan of each side
tan ^-1 ( tan ?) = tan ^-1 (3/7)
?=23.19859
To the nearest degree
x = 23
13 A cylindrical iron rod 8 cm high and 6 cm in diameter stands in a cylindrical tin 12 cm in diameter. See Fig. 15.22. Water is poured into the tin until its depth is 8 cm. How far would the level drop when the rod is removed?
Answer:
2cm
Step-by-step explanation:
The volume of water displaced by the rod is
v = πr^2 h = π * 3^2 * 8 = 72π cm^3
The drop in water level is the rod volume divided by the cross-section area of the tin, or
72π/(π*6^2) = 2 cm
Instructions: Find the measure of the indicated angle to the nearest
degree.
12
?
36
?
=
To find the indicated angle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.
Remember: SOH-CAH-TOA
Looking from the angle, we know the adjacent side and the hypotenuse. Therefore, we should use cosine to solve.
cos(x) = 12/36
x = cos^-1(12/36)
x = 71 degrees
Hope this helps!
The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)
Answer:
[tex]a\cdot b\cdot c=\frac{15}{4}[/tex]
Step-by-step explanation:
Vertex is the minimum or maximum point of parabola
Vertex of parabola is (h,k)
Therefore, from given graph (-3,-2) is the lowest point.
Vertex of parabola is at (-3,-2).
Standard equation of parabola
[tex]y-k=a(x-h)^2[/tex]
Substitute the values
[tex]y-(-2)=a(x-(-3))^2=a(x+3)^2[/tex]
[tex]y+2=a(x+3)^2[/tex]
(-1,0) lies on the parabola.
Therefore, it satisfied the equation of parabola.
[tex]0+2=a(-1+3)^2=4a[/tex]
[tex]a=2/4=1/2[/tex]
Now, using the value of a
[tex]y+2=1/2(x+3)^2=1/2(x^2+6x+9)[/tex]
[tex]y+2=\frac{1}{2}x^2+3x+\frac{9}{2}[/tex]
[tex]y=\frac{1}{2}x^2+3x+\frac{9}{2}-2[/tex]
[tex]y=\frac{1}{2}x^2+3x+\frac{9-4}{2}[/tex]
[tex]y=\frac{1}{2}x^2+3x+\frac{5}{2}[/tex]
By comparing with
[tex]y=ax^2+bx+c[/tex]
We get
[tex]a=\frac{1}{2}, b=3, c=5/2[/tex]
[tex]a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}[/tex]
[tex]a\cdot b\cdot c=\frac{15}{4}[/tex]
Help ASAP please Nd thanks
Answer:
D
Step-by-step explanation:
(4x)²=x+15
A bag of M&M's contained 13 red, 15 yellow,
44 brown, 12 orange, and 9 green candies.
What percent of the M&M's were yellow?
Answer:
16%
Step-by-step explanation:
Use the percentage formula:
P × V1 = V2
Example:
EX: P × 30 = 1.5
P =
1.5
30
= 0.05 × 100 = 5%
4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)
please show steps!!
Answer:
x = 0, π/3, 2π/3, π, 4π/3, 5π/3
Step-by-step explanation:
4cos^4(x) – 5cos^2(x) + 1 = 0
(4cos^2(x) - 1)(cos^2(x) - 1) = 0
When 4cos^2(x) - 1 = 0
cos^2(x) = 1/4
cos x = +/-1/2
so x = π/3, 2π/3, 4π/3, 5π/3.
When cos^2x - 1 = 0
cos x = +/- 1
x = 0, π.
x
The solution is : x = 0, π/3, 2π/3, π, 4π/3, 5π/3
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)
so, we get,
4cos^4(x) – 5cos^2(x) + 1 = 0
(4cos^2(x) - 1)(cos^2(x) - 1) = 0
When 4cos^2(x) - 1 = 0
cos^2(x) = 1/4
cos x = +/-1/2
so x = π/3, 2π/3, 4π/3, 5π/3.
When cos^2x - 1 = 0
cos x = +/- 1
x = 0, π.
Hence, The solution is : x = 0, π/3, 2π/3, π, 4π/3, 5π/3.
To learn more on simplification click:
brainly.com/question/28996879
#SPJ2
Calculate the axis of symmetry in the equation Y = (x+1) (x-4)
Come on anyone please helppppppp.
Answer:
Every parabola has a turning point called the axis of symmetry,so for this question you just have to find the turning points
x turning point= -b/2a,and the y turning point is gotten by replacing the value of x in the equation
y=(x+1)(x-4)
=x^2-3x-4
a is 1,b is -3 and c is -4
x= -(-3)/2(1)
=1.5
and y=x^2-3x-4
=1.5^2-3(1.5)-4
= -6.25
therefore the axis of symmetry is (1.5,-6.25)
I hope this helps
Which of the following statements is false?
A and B
I hoped it helped you
Write an equation that represents the line.
Use exact numbers.
Answer:
y = 4/5x - 18/5
Step-by-step explanation:
y = mx + b
m = 4/5
(2, -2)
-2 = 8/5 + b
b = -10/5 - 8/5 = -18/5
y = 4/5x - 18/5
A student measures the length of a football field and reports it to be 294 feet long. The actual length of the field is 300 feet. What is the percentage error in the student's measurement
Answer:
Percentage error in the student measurement = 2%
Step-by-step explanation:
Percentage error = (change in length) / actual length × 100
Approximate length =294 feet
Actual length = 300 feet
Percentage error = (change in length) / actual length × 100
= (300 feet - 294 feet) / 300 feet × 100
= 6/300 × 100
= 0.02 × 100
= 2%
Percentage error in the student measurement = 2%
Five students are asked to randomly select and name a polygon from the group shown below. what is the probability that the first two student choose the triangle and quadrilateral, in that order
Answer:
is it 2/5 I could be wrong
Select the correct location in the expression.
Consider this expression.
4x^4-6x^3+6x+3/x-3
Which term in the quotient of this expression contains an error?
Answer:
78
Correct term:60
Step-by-step explanation:
We are given that
[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]
The quotient of this expression is given by
[tex]4x^3+6x^2+18x+78+\frac{183}{x-3}[/tex]
We have to find the term in this expression which contains an error.
[tex]\frac{4x^4-6x^3+6x+3}{x-3}[/tex]
The quotient of this expression is given by
[tex]=4x^3+6x^2+18x+60[/tex]
[tex]Dividend=Divisor\times quotient+ remainder[/tex]
Using the formula
[tex]4x^4-6x^3+6x+3=(x-3)(4x^3+6x^2+18x+60)+\frac{183}{x-3}[/tex]
We can see that in the given expression there is 60 in place of 78.
The error in the expression of quotient is 78.
Correct term is 60.
Write 42 as a product of primes use index notation
How much water should be added to 90ml of 45 percent acid solution to dilute it to 25 percent acid solution
Answer:
72 ml
Step-by-step explanation:
Let
x = amount of water that should be added
45% acid solution = 45/100 = 0.45
25% acid solution = 25/100 = 0.25
The equation is
90(0.45) = 0.25(x + 90)
40.5 = 0.25x + 22.5
40.5 - 22.5 = 0.25x
18 = 0.25x
Divide both sides by 0.25
x = 18/0.25
= 72
x = 72 ml
