Answer:
Explicit
gn = 3(1/3)^(n-1)
Recursive
gn =1/3gn-1
Step-by-step explanation:
3 , 1 , 1/3 , 1/9 . . .
gn = ar^(n-1)
Where,
a = first term = 3
r = common ratio = 1/3
Check:
g2 = ar^(n-1)
= 3(1/3)^(2-1)
= 3/3^(1)
= 1^1
= 1
The explicit formula is
gn = ar^(n-1)
gn = 3(1/3)^(n-1)
The recursive form for a geometric sequence is gn = rgn-1
recursive form for our sequence gn =1/3gn-1
Where,
gn = 3
theres $10.30 and the discount is 25% how much will he save
Answer:
2.58 saved
Step-by-step explanation:
To find the discount, take the amount and multiply the discount percent
10.30 * 25%
10.30 *.25
2.575
Round to the nearest cent
2.58
Answer:
Step-by-step explanation:
2.58 saved
The triangle inequality
If f(x) = 28+x + 7, what is the value of f(-9), to the nearest
hundredth (if necessary)?
Answer:
26
Step-by-step explanation:
Problem: f(x) = 28 + x + 7
Plug in f(-9)
New equation: f(-9) = 28 + (-9) + 7
Simplify: f(-9) = 26
Answer: f(-9) = 26
Please Help ASAP!! Due today!!
Answer:
-4 equals p=2 and a and R are at point Y downwards.
Ms. Merine calculated that her hoop earring has a diameter of 3.5 centimeters. What is the area of her earring?
Solve for x and show work
Answer:
Hi,
These are corresponding angles. Corresponding angles are congruent. So the equation would be 100=x+106. Do you think you can solve that? If you can't let me know and I will do it for you?
Step-by-step explanation:
3, 6, 12,
The common ratio is
Answer:
The common ratio is 2.
Step-by-step explanation:
3 : 6 : 12
1 : 2 : 4
SUPER URGENT: Find cscθ.
Answer: -5/4
Step-by-step explanation: Cosecant is hypotenuse divided by the opposite side. The hypotenuse is 5 units, while the opposite side is 4 units. The answer has to be negative because the opposite side is below y=0.
Write the following equation in slope y-intercept form and identity m and b.
x + 2y – 4 = 0
Answer:
Below:
Step-by-step explanation:
y = -0.5x + 2
m = -0.5
b = 2
I was thinking the answer was three but I’m not entirely sure help pls?
Answer:
3
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
please help me solve
please show how you got the answer
Answer:
Step-by-step explanation:
New questions in Mathematics
In a 30-30-90 triangle, the hypotenuse is 38, what is the length of the shortest side
Pls help this is due at 8 !!!!!!
6. CDs can be manufactured for $0.19 each. The development cost is $210,000. The first 500 discs are samples and will not be sold a. Write function f…
somebody help me out
Which rational functions have an oblique asymptote? Check all that apply
what is the estimate product of 345 and 34? [tex] \\ [/tex]
what is the estimate product of 345 and 34?
ucas y Fernando deciden remontar, cada uno, un barrilete y cuentan con 60m de hilo cada uno. El barrilete de Lucas forma un ángulo de 45º con la hori…
somebody help me out
How many parallelograms are in an octagonal prism?
Tn=2n-5 write down four term in a sequence
somebody help me out !
Find the value of angle n
PLEASE I NEED HELP IM GOING TO CRY I HAVE A TOPIC TEST TOMORROW PLEASE REPLY ASAP.!!!!
Find the value of angle y
What is the midpoint of AB? A G H NT -9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 0000 4 5 6 7 8 9 point F O point G O point H pointi
Point A is reflected across line y=x and the n dilated by a factor of 3 using the origin as the center of dilation.
Given that a=3, b=-2 and c= -4, evaluate the following expression. 2c-a/3c+b - 5a+4c/c-a
Please help me asap!
what is lcm of 15 and 143
What is the smallest 6 digit palindrome that can be divided by 99?
which inequality best represents the graph?
Answer:
A y ≥ (1/2)x + 5
Step-by-step explanation:
The shaded area is above the solid line
the correct symbol is ≥
can someone pls help for brainlest
find the measure of the exter angle.
What is the equation of the line
Select the correct answer.
What is the value of g(2)
10.
13 – 9x2 + 27r - 25,1 > 2
gix)
A. 2
D
B.
OC.
-1
D. 1
How do you do this
Answer:
D=1
Step-by-step explanation:
g(x)=x³-9x²+27x-25
g(2)=(2)³-9(2)²+27(2)-25
=8-36+54-25
=1
Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5. 2 Find the area of the sector if the radius is 8cm show your work below 2 2 Show your work below. You have responded to 0 of 7 questions. Question Details Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5.
Answer:
[tex](a)\ (x+6)^2 + (y-5)^2 = 25[/tex]
[tex](b)\ Area = 16.75cm^2[/tex]
Step-by-step explanation:
Solving (a):
Given
[tex](a,b) = (-6,5)[/tex]
[tex]r = 5[/tex]
Required
The equation of the circle
This is calculated as:
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
So, we have:
[tex](x--6)^2 + (y-5)^2 = 5^2[/tex]
[tex](x+6)^2 + (y-5)^2 = 25[/tex]
Solving (b):
Given
[tex]r = 8cm[/tex]
[tex]\theta = 30^o[/tex] --- Missing from the question
Required
The area of the sector
This is calculated using:
[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Area = \frac{30}{360} * 3.14 * 8^2[/tex]
[tex]Area = \frac{1}{12} * 200.96[/tex]
[tex]Area = 16.75cm^2[/tex]
I need help please! 45 points :)
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle = 1 unit.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The area of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:area\:of\:the\:circle\:is\:3.14\:units².}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr² }[/tex]
[tex]=\:3.14 \times 1 \times 1 \: \: {units}^{2} \\ \\ = 3.14 \: \: {units}^{2} [/tex]
Therefore, the area of the circle is 3.14 units².
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
please help! I dont understand how to answer. i got x^2-9x+20=0 as my answer. am i incorrect?
Answer:
x² - 9x + 20
You are correct.
None of the listed choices are correct.
-----------------------------
I think the question originally had 5 and -4 as the solutions
https://www.jmap.org/Worksheets/A.APR.B.3.ZerosofPolynomialsPR1.pdf
x = {-4, 5}
(x + 4)(x - 5) = 0
x² - 5x + 4x - 20 = 0
x² - x - 20 = 0 Answer E
Step-by-step explanation:
x = {4, 5}
y = (x - 4)(x - 5)
y = x² - 5x - 4x + 20
y = x² - 9x + 20
What is the inverse of the function g(x) = 1/2x + 1/2?
Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x f - 1 ( x ) = 2 x is the inverse of f(x)=12x f ( x ) = 1 2 x .
Replace f(x)f(x) with yy.
y=12xy=12x
Interchange the variables.
x=12yx=12y
Solve for yy.
Rewrite the equation as 12y=x12y=x.
12y=x12y=x
Multiply both sides of the equation by 22.
2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x
Simplify 2⋅12⋅y2⋅12⋅y.
Cancel the common factor of 22.
Cancel the common factor.
2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x
Rewrite the expression.
1⋅y=2⋅x1⋅y=2⋅x
Multiply yy by 11.
y=2⋅xy=2⋅x
Solve for yy and replace with f−1(x)f-1(x).
Replace the yy with f−1(x)f-1(x) to show the final answer.
f−1(x)=2xf-1(x)=2x
Set up the composite result function.
g(f(x))
Find the equation of the straight line passing through the point (-1,2) which is perpendicular to the line y=x+4
make q subject in formula
t=q/2 + 5
Answer:
[tex] q = 2(t - 5) [/tex]
Step-by-step explanation:
[tex]t = \frac{q}{2} + 5 \\ \\ t - 5 = \frac{q}{2} \\ 2(t - 5) = q[/tex]
hope this helps you.
Have a nice day!
Answer:
2 ( t - 5 ) = q
Step-by-step explanation:
t = q/2 + 5subtract 5 from both side
t - 5 = q / 2 + 5 - 5t - 5 = q / 2multiply each side by 2.
2 × ( t - 5 ) = q / 2 × 22 ( t - 5 ) = qName the three similar triangles correspondingly. Start with the original right triangle LMK, then the remaining two right triangles created by the altitude MN.
Answer:
Step-by-step explanation:
Answer:△LMK △MNK △LNM
im pretty sure thats it
Please Help Quick ASAp Hurry
What is the exact volume of the cylinder?
A. 780π in3
B. 5070π in3
C. 390π in3
D. 11,700π in3
Answer:
B. 5070π in³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
r = 13 in
h = 30 in
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = π(13 in)²(30 in)Evaluate exponents: V = π(169 in²)(30 in)Multiply: V = 5070π in³Answer:
[tex]\large\fbox{B. 5070 π inches³}[/tex]
Step-by-step explanation:
We have given that :-Radius of cylinder , r = 13 inchesHeight of cylinder , h = 30 inchesWe need to find :-The Volume of cylinder
Formula Used :-Volume of cylinder = π × r ² × h
Where,
r is the radius of cylinderh is the height of cylinderSolution :-Using Formula
➛Volume of cylinder = π × r ² × h
substitute the values into the formula
➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.
Evaluate exponent
➛ Volume of cylinder = π × 169 inches ² × 30 inches.
multiply, we get
➛ Volume of cylinder = 5070 π inches ³.
Therefore, option B which is 5070 π inches³ is the correct ☑ answer.
PLEASE HELPP MEEE ASAPPPPP
Answer:
D) 24,32,40
Step-by-step explanation:
Sense this is a right triangle, I will use the Pythagorean theorem to solve this problem. Use the following formula: a^2 + b^2 = c^2. 40 would be c. 40 x 40 = 1600. 32 x 32 = 1024. 24 x 24 = 576. Since 576 + 1,024 equals 1600, this means the answer would be D. Remember, that you can only use the Pythagorean Theorem method on right triangles.
1,600 = 576 + 1024.
Note:
Pls notify me if my answer is incorrect, for the other users that will see this message.
-kiniwih426
Lee y contesta santiago quiere comer la mitad de un pastel y alba quiere un tercio del mismo pastel para repartirlo bien reducen las fracciones a comun denominador ¿en cuantas partes iguales deben dividir el pastel? ¿cuantas partes debe tomar cada uno?
Answer:
El pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.
Step-by-step explanation:
Dado que Santiago quiere comer la mitad de un pastel y Alba quiere un tercio del mismo pastel, para repartirlo bien se deben reducir las fracciones a su común denominador. Así, para determinar en cuántas partes iguales deben dividir el pastel y cuántas partes debe tomar cada uno se deben realizar los siguientes cálculos:
Santiago = 1/2
Alba = 1/3
2 x 3 = 6
Santiago = 1/2 = 3/6
Alba = 1/3 = 2/6
Por lo tanto, el pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.
Una empresa, para comprar ropa de trabajo para su personal, tiene un presupuesto de $ 10.000. La empresa pide cotizaciones y recibe las siguientes propuestas: a) pagar $ 5.000 al contado y $ 5.000 en 90 días; b) pagar $ 3.000 al contado; $ 3.000 en 30 días y $ 4.000 en 90 días; c) pagar $ 2.000 al contado, $ 4.000 en 30 días y $ 4.000 en 84 días. Si la tasa de interés es del 24% anual, ¿cuál oferta le conviene aceptar
Answer:
La oferta más conveniente es la C, pues en ella se pagará menos dinero que en las dos anteriores.
Step-by-step explanation:
Dado que una empresa, para comprar ropa de trabajo para su personal, tiene un presupuesto de $ 10.000, y la empresa pide cotizaciones y recibe las siguientes propuestas: a) pagar $ 5.000 al contado y $ 5.000 en 90 días; b) pagar $ 3.000 al contado; $ 3.000 en 30 días y $ 4.000 en 90 días; y c) pagar $ 2.000 al contado, $ 4.000 en 30 días y $ 4.000 en 84 días, si la tasa de interés es del 24% anual, para determinar cuál oferta le conviene aceptar se debe realizar el siguiente cálculo:
90 días = 1/4 año
30 días = 1/12 año
84 días = 23/100 año
365 = 1
85 = X
84 / 365 = 0.23
A) 5,000 + (5,000 x 1.06) = 5,000 + 5,300 = 10,300
B) 3,000 + (3,000 x 1.02) + (4,000 x 1.06) = 3,000 + 3,060 + 4,240 = 10,300
C) 2,000 + (4,000 x 1.02) + (4,000 x 1.023) = 2,000 + 4,080 + 4,092 = 10,172
Por lo tanto, la oferta más conveniente es la C, pues en ella se pagará menos dinero que en las dos anteriores.
Simplify: 4x(x² - 3x + 1)
Answer:
[tex]4x\left(x^2-3x+1\right)[/tex]
[tex]Distribute\:parentheses[/tex]
[tex]=4xx^2+4x\left(-3x\right)+4x\cdot \:1[/tex][tex]\mathrm{Apply\:minus-plus\:rules}[/tex]
[tex]+\left(-a\right)=-a[/tex][tex]=4x^2x-4\cdot \:3xx+4\cdot \:1\cdot \:x[/tex][tex]Simplify[/tex]
[tex]=4x^3-12x^2+4x[/tex]----------------------------hope it helps...have a great day!!Write an equation of the line that passes through the point (2, -3) and has a
slope of -1.
Answer:
Y = -1x - 1
Step-by-step explanation:
I used desmos graphing calculator and tried until I got a line that worked. It passes through (2, -3) and has a slope of -1
Hope this helped :)