Answer:
[tex]a_n = 2(5)^{n-1}[/tex]
Step-by-step explanation:
Explicit Geometric Formula: [tex]a_n = a_1r^{n-1}[/tex]
a₁ is 1st term
r is common ratio
n is term number
Step 1: Find common ratio r
r = 10/2 = 5
Step 2: Plug variables into formula
[tex]a_n = 2(5)^{n-1}[/tex]
Answer:
This is a geometric sequence with a₁ = 2 and r = 5 where a₁ is the first term and r is the common ratio.
Explicit formula: aₙ = a₁ * r ⁿ⁻¹
The answer is aₙ = 2 * (5ⁿ⁻¹)
To build a road, a company charges a flat fee plus a fee that varies depending on the number of kilometers of road built. The cost of the work is described by a graph that passes through points (0, 2) and (12, 7), in millions of reais, depending on the number of kilometers built. Therefore, determine the law that represents this function.
I dont remember that one sorry
Step-by-step explanation:
Answer:
y = 5/12 x + 2
Step-by-step explanation:
We need to find the equation of a line that passes through two given points.
y = mx + b
First, we find the slope.
m = slope = (y2 - y1)/(x2 - x1)
m = (7 - 2)/(12 - 0) = 5/12
Now we have
y = 5/12 x + b
To find the value of b, we use a point for x and y and solve for b.
y = (5/12)x + b
2 = (5/12)(0) + b
b = 2
The equation is
y = 5/12 x + 2
In a circle graph, 36% represents what angle?
Hey there!
First; let us understand that there are 360° in a full circle.
This is what we are representing.
We need to find a way to multiply to get the answer.
36% of 360 = 0.36, therefore we need to make 0.36 x 360
Multiply 0.36 x 360
Therefore, we get 129.6°
EXACT Answer:129.6°
Rounded answer:130°
Answer: 129.6
Step-by-step explanation:
So, there are 360 in one full circle.
We will multiply to get a product.
36% of 360 = 0.36, Make 0.36 x 360
0.36 x 360 = 129.6
PLEASE HELP ASAP i don’t have much time.
Answer:
[tex]x=-3, d=2, e=3[/tex]
Step-by-step explanation:
[tex]\frac{9a^3b^5}{-3ab^2} =\frac{9}{-3} \cdot\frac{a^3}{a} \cdot \frac{b^5}{b^2}[/tex]
Recall how to divide exponents. For instance, [tex]a^3/a^1=a^{3-1}=a^2[/tex].
[tex]=-3a^2b^3[/tex]
Thus, [tex]x=-3, d=2, e=3[/tex]
(03.02 MC) Some researchers claim there is an association between getting a tattoo and contracting hepatitis C. They took a random sample of people living in Los Angeles, California, and recorded whether they had a tattoo and whether they were infected with hepatitis C. The results are shown in the following two-way table: Has Hepatitis C Does Not Have Hepatitis C Does not have a tattoo 5 50 Has one tattoo 10 210 Has more than one tattoo 15 150 If a person is chosen at random, what is the probability that he or she has hepatitis C, given that he or she has one tattoo? (2 points) Select one: a. 0.045 b. 0.333 c. 0.05 d. 0.50
Answer:
The correct option is (b) 0.333.
Step-by-step explanation:
The data provided is as follows:
Hepatitis C No hepatitis C Total
No Tattoos 5 50 55
1 Tattoo 10 210 220
> 1 Tattoo 15 150 165
Total 30 410 440
The probability of an event E is the ratio of the favorable number of outcomes to the total number of outcomes.
[tex]P(E)=\frac{n(E)}{N}[/tex]
The condition probability of an event A provided that another event X has already occurred is:
[tex]P(A|X)=\frac{P(A\cap X)}{P(X)}[/tex]
The number of people who has hepatitis C is:
n (Hepatitis C) = 30
The number of people who has hepatitis C and one tattoo is:
n (Hepatitis C and 1 Tattoo) = 10
Compute the probability that he or she has hepatitis C, given that he or she has one tattoo as follows:
[tex]P(\text{Hepatitis C} |\text{1 Tattoo})=\frac{n(\text{Hepatitis C and 1 Tattoo})}{n(\text{1 Tattoo})}[/tex]
[tex]=\frac{10}{30}\\\\=\frac{1}{3}\\\\=0.333[/tex]
Thus, the correct option is (b).
The probability that he or she has hepatitis C, given that he or she has one tattoo will be 0.333. Then the correct option is B.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The table is given below.
Hepatitis C No hepatitis C Total
No Tattoos 5 50 55
1 Tattoo 10 210 220
> 1 Tattoo 15 150 165
Total 30 410 440
The number of people who has hepatitis C is 30. And the number of people who has hepatitis C and one tattoo is 10.
The probability that he or she has hepatitis C, given that he or she has one tattoo will be
P = 10/30
P = 1/3
P = 0.333
The probability that he or she has hepatitis C, given that he or she has one tattoo will be 0.333. Then the correct option is B.
More about the probability link is given below.
https://brainly.com/question/795909
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PLZ HELP ME!!!! I WILL GIVE BRAINLIEST!!!!!! 5 stars and a thanks!!!! 50 POINTS!!! Type out how you would explain the color blue to a blind person. The blind person has been blind ever since he was born. This is a real challenge question.
Answer:
As color is simply the kind of light reflected by surfaces(if the sun was green, many plants would die), color can be explained fairly simply to a blind person. Each color represents a separate wavelength, and objects that reflect these wavelengths show up in various colors. Thus simply state the following: The color blue is displayed by all objects that reflect wavelengths from 380 and 500 nanometers.
Hope it helps <3
p.s. I know this is supposed to be kind of philosophical, but I'm a nerd, so...
Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 3 (5 points)
Answer:
x=-1 1/2,x=-1.5
Step-by-step explanation: x=-3/2
Translate into an algebraic expressions: 120 is increased by d% and increased by 25% . What is the result ?
Answer:
The result is 150 + 1.5d
Step-by-step explanation:
We want to translate the wordings into algebraic expression.
Firstly, we increase 120 by d%
d% = d/100
So increasing 120 by d % means;
120 + (d/100 * 120)
= 120 + 1.2d
Then increase this by 25%
= (120 + 1.2d) + 25/100(120 + 1.2d)
= 120 + 1.2d + (120+1.2d)/4
= 120 + 1.2d + 30 + 0.3d
= 120 + 30 + 1.2d + 0.3d
= 150 + 1.5d
Find the lateral area of the cones in terms of pi
Answer:
i think its what you want....
Select the interval where h(x)>0 {where h of x is greater than 0}
Option1. -3.5 Option2. -2 Option3. 2.5
Answer:
The correct option is;
Option 3. 2.5
Step-by-step explanation:
From the graph of the function y = h(x), where h of x h(x) > 0 and x > 0 we have;
The first interval where y =h(x) > 0 occurs between x= 0 and x = 0.8
The second interval where y =h(x) > 0 occurs between 2.2 and 4 which is a range of 4 - 2.3 = 1.7
The total interval where y =h(x) > 0 occurs is therefore = 0.8 + 1.7 = 2.5
Thus the function y = h(x), is positive over an interval on the x-axis = 2.5.
Answer:
Option 3. 2.5Step-by-step explanation:
A geologist gathered data about the total shoreline and maximum depth of several area lakes and organized the data into this table. Total Shoreline (miles) 22 17 10 23 12 35 7 Maximum Depth (feet) 101 85 59 113 64 158 33 She then used a graphing tool to display the data in a scatter plot, with x representing the total miles of shoreline and y representing the maximum depth. She also used the graphing tool to find the equation of the line of best fit: y = 4.26x + 10.908. Based on the line of best fit, what is the approximate maximum depth of a lake that has 31 miles of shoreline? A. 121 feet B. 132 feet C. 138 feet D. 143 feet
Answer: D. 143
Step-by-step explanation:
31 times 4.26 = 132.06 + 10.908 = 142.968 which simplifies to 143 because you round up.
The best line of fit for the maximum depth of the shoreline would be: D. 143 feet
How to solve for the depth of the shorelineWe have the line of fit as
y = 4.26x + 10.908.
The question has specified x as 31 miles which is the miles of shore line.
We have to solve for the value in the line of best fit
y = 4.26*31 + 10.908
y = 132.06 + 10.908
y = 142.968
This is approximately D. 143 feet
Read more on the line of best fit here: https://brainly.com/question/1518824
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Evaluate the Following
Answer:
see explanation
Step-by-step explanation:
cscΘ = [tex]\frac{hypotenuse}{opposite}[/tex] = [tex]\frac{25}{7}[/tex]
secΘ = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{25}{24}[/tex]
cotΘ = [tex]\frac{adjacent}{opposite}[/tex] = [tex]\frac{24}{7}[/tex]
C=5/9(F - 32) concert 30C to Fahrenheit
Answer:
132
Step-by-step explanation:
132
Hey there! :)
Answer:
86° F.
Step-by-step explanation:
Use the formula C = 5/9(F - 32) to convert 30C to Fahrenheit. Plug 30 into C:
30 = 5/9(F - 32)
Multiply both sides by 9/5 (dividing by 5/9):
30 · 9/5 = 5/9(F - 32) · 9/5
54 = F - 32
Add 32 to both sides:
54 + 32 = F - 32 + 32
F = 86°.
Therefore, 30C = 86° F.
How many times greater is 700,000 than 70,000??
Answer:
10 times greater hun
Step-by-step explanation:
70000 times 10 equals 700000
Answer:
10 times greater.
Step-by-step explanation:
700,000 / 70,000 = 700 / 70 = 70 / 7 = 10 / 1 = 10
So, 700,000 is 10 times greater than 70,000.
Hope this helps!
need help asap!!! WILL GIVE THE MOST BRAINIEST TO WHOEVER ANSWERS IT RIGHT PUT THE ANSWER IN A BOX
Answer:
36PI
113.04
Step-by-step explanation:
4/3*PI*R^3=V
4/3*PI*27=V
36*PI=V
113.04
BRAINLIEST PLS
-ZYLYNN JADE
Answer:
113.10 (to the nearest hundredth)
Step-by-step explanation:
just google volume of a sphere
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine.
31.5 36.0 37.8 38.5 40.1 42.234.2 36.2 38.1 38.7 40.6 42.534.7 37.3 38.2 39.5 41.4 43.435.6 37.6 38.4 39.6 41.7 49.3
(a) Compute the z-score corresponding to the individual who obtained 32.3 miles per gallon. Interpret this result. (b) Determine the quartiles. (c) Compute and interpret the interquartile range, IQR. (d) Determine the lower and upper fences. Are there any outliers?
Answer:
Explained below.
Step-by-step explanation:
The data provided is as follows:
S = {31.5, 36.0, 37.8, 38.5, 40.1, 42.2, 34.2, 36.2, 38.1, 38.7, 40.6, 42.5, 34.7. 37.3, 38.2, 39.5, 41.4, 43.4, 35.6, 37.6, 38.4, 39.6, 41.7, 49.3}
Compute the mean and standard deviation as follows:
[tex]\mu=\frac{1}{n}\sum X=\frac{1}{24}\times [31.5+36.0+37.8+...+49.3]=38.88\\\\\sigma=\sqrt{\frac{1}{n-1}\sum (X-\mu)^{2}}=\sqrt{\frac{1}{24-1}\times 299.639584}=3.61[/tex]
(a)
Compute the z-score corresponding to the individual who obtained 32.3 miles per gallon as follows:
[tex]z=\frac{X-\mu}{\sigma}[/tex]
[tex]=\frac{32.3-38.88}{3.61}\\\\=-1.823[/tex]
Thus, the z-score corresponding to the individual who obtained 32.3 miles per gallon is -1.823.
(b)
The data set arranged in ascending order is:
S = {31.5 , 34.2 , 34.7 , 35.6 , 36 .0, 36.2 , 37.3 , 37.6 , 37.8 , 38.1 , 38.2 , 38.4 , 38.5 , 38.7 , 39.5 , 39.6 , 40.1 , 40.6 , 41.4 , 41.7 , 42.2 , 42.5 , 43.4 , 49.3}
The set consists of 24 values.
The first and third quartile are:
[tex]Q_{1}=[\frac{n+1}{4}]^{th}\ obs.=[\frac{24+1}{4}]^{th}\ obs.=12.5^{th}\ obs.=\frac{36.2+ 37.3}{2}=36.75\\\\Q_{3}=[\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(24+1)}{4}]^{th}\ obs.=18.75^{th}\ obs.=\frac{40.6+41.4}{2}=41[/tex]
Thus, the value of Q₁ is 36.75 and Q₃ = 41.
(c)
Compute the inter-quartile range as follows:
[tex]IQR=Q_{3}-Q_{1}=41-36.75=4.25[/tex]
The inter-quartile range is 4.25.
The inter-quartile range is the amount of data that is contained within the middle 50% of a set of observations, when arranged in order. It is the distance between the first and third quartile.
(d)
Compute the values of lower and upper fences as follows:
[tex]\text{Lower fence}=Q_{1}-1.5\times IQR=36.75-(1.5\times 4.25)=30.375\approx 30.38\\\\\text{Upper fence}=Q_{3}+1.5\times IQR=41+(1.5\times 4.25)=47.375\approx 47.38[/tex]
Any values that are less than the lower fence or more than the upper fence are considered as outlier.
Consider the arranged data set.
Only one value is more than the upper fence, 47.38, i.e. 49.3.
So, yes there is one outlier, i.e. 49.3.
please help i will give out brainliest
Answer:
6, 0, 10
b
Step-by-step explanation:
I need help! Thx :) 6th grade
Answer:
0.92
Step-by-step explanation:
To write a percent as a decimal, we divide the value by 100.
Divide 92 by 100.
[tex]\frac{92}{100}[/tex]
[tex]=0.92[/tex]
Answer:
0.92
Step-by-step explanation:
92/100=0.92
Fraction- 92/100 — 46/50 — 23/25
el perimetro de un terreno rectangular es de 170m y su area es de 170^2hallar la medida de sus lados con ecuacion cuadratica
Answer:
Acá tenemos un sistema de ecuaciones.
El perímetro de un rectángulo es:
2*A + 2*L = 170m
donde A es el ancho y L es el largo.
Y el área del rectángulo es:
A*L = 170m^2.
Entonces, el primer paso es aislar una de las variables en una de las ecuaciones, yo voy a aislar A en la segunda:
A = 170m^2/L.
Ahora reemplazo eso en la primera ecuación y la resuelvo para L.
2*( 170m^2/L.) + 2*L = 170m.
340m^2 + 2*L^2 = 170m*L
ahora tenemos una ecuación cuadrática:
2*L^2 - 170m*L + 340m^2 = 0.
Las soluciones se pueden obtener usando la formula de Bhaskara:
[tex]L = \frac{+170 +- \sqrt{170^2 -4*340*2} }{2*2} = \frac{170 +-161.8}{4}[/tex]
Entonces las soluciones son:
L = (170 + 161.8)/4 = 82.95m
L = (170 - 161.8)/4 = 4.1m
Entonces, si tomamos L = 82.95m, tenemos A = 4.1 m
y el área es:
A*L = 4.1m*82.95m = 170m^2
The ratio of Mark's age to Reeta's age is 3:5
Mark's age is 24 years.
(a) Work out Reeta's age.
Answer:
40
Step-by-step explanation:
Set up a ratio. Solve for x.
[tex]\frac{3}{5}=\frac{24}{x} \\3x = 120\\x=40[/tex]
Reeta is 40 years old.
If both nappes of a right circular cone are intersected by a plane that does not
pass through the vertex of the cone, the resulting curve will be an)
Answer:
Hyperbola
Step-by-step explanation:
When the two napes of a cone are intersected by a plane, the resulting curve is that of the two branches of a hyperbola. See attached image.
33°
87°
х
у
y = [ ? 10
Enter
Answer:
x= 60° y= 120°
Step-by-step explanation:
The sum of the sizes of a triangle's angles equals 180°
x+87+33= 180 x+120 = 180 x= 180-120x = 60°y+x = 180 ⇒ y = 180-x = 180-60= 120
Answer:
y = 120
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
y = 33+87
y = 120
find the y-intercept of the function: f(×)=(×+10)/(×-5)
Answer:
(-10,0)
Step-by-step explanation:
Hello
this is (-10,0) point
because f(-10)=0
hope this helps
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The standard equation of a circle is expressed as:
[tex]x^2+y^2+2gx+2fy+C=0[/tex]
Centre is (-g, -f)radius = √g²+f²-CGiven a circle whose equation is [tex]x^2 + y^2 - 2x - 8 = 0.[/tex]
Get the centre of the circle
2gx = -2x
2g = -2
g = -1
Similarly, 2fy = 0
f = 0
Centre = (-(-1), 0) = (1, 0)
This shows that the center of the circle lies on the x-axis
r = radius = √g²+f²-C
radius = √1²+0²-(-8)
radius =√9 = 3 units
The radius of the circle is 3 units.
For the circle x² + y² = 9, the radius is expressed as:
r² = 9
r = 3 units
Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Learn more on circles here: https://brainly.com/question/23226948
Answer:
a, b and e
Step-by-step explanation:
i got it correct on edge
Solve for x 4x−8=3x−8
Answer:
x = 0
Step-by-step explanation:
Step 1: Subtract 3x from both sides
x - 8 = 8
Step 2: Add 8 to both sides
x = 0
Answer:
x = 0
Step-by-step explanation:
1. Get rid of the equal terms
4x = 3x
2. Move the variables to the left side
4x - 3x = 0
3. Collect the like times
4x - 3x = 0
x = 0
Hope this helps!
El área de un decágono regular cuya apotema mide 5,08 cm y la longitud de su lado es 3,3 cm.
Answer:
83.82 cm^2
Step-by-step explanation:
Aquí, queremos calcular el área de un decágono dada su apotema y la longitud de su lado.
Matemáticamente;
Área de decágono = 1/2 * perímetro * apotema
Donde perímetro = 10 * s
donde s es la longitud de los lados
Entonces el área aquí sería; 1/2 * 10 (3.3) * 5.08 = 83.82 cm ^ 2
If f(x)=3x+2, what is f(5)
Answer:
f(5) = 17Step-by-step explanation:
f(x)=3x+2
To find f (5) replace every x in f(x) by 5
That's
f(5) = 3(5) + 2
= 15 + 2
= 17Hope this helps you
Find the value of y.
(06.01, 06.02 HC) I WILL MARK YOU BRAINIEST Part A: Create a fourth-degree polynomial in standard form. How do you know it is in standard form? (5 points) Part B: Explain the closure property as it relates to polynomials. Give an example. (5 points)
A fourth-degree polynomial in standard form is :
To write a polynomial in a standard form you have to set its terms according to the variable powers in a descending order.In this example it would give:
−6[tex]x^{4}[/tex]+3[tex]x^{2}[/tex]+4x +2
The degree of a polynomial is the maximum power of an unknown variable in the polynomial.Part B:
The closure property as it relates to polynomials are :
Polynomials are closed for addition and subtraction. This is because the power does not change. Only the coefficients are changed. This is illustrated by the examples below:(2x2 + 3x + 4) + (x2 - 5x - 3)
3x2 - 2x + 1.
The above operation does not change the degree. Only the number next to each variable changes.Therefore, the addition and subtraction of polynomials is closed.
Know more about polynomials:
https://brainly.com/question/16059429?referrer=searchResults
14 + 18 divided by 2 * 18
Is the answer 86 or no?
Answer:
No.
Step-by-step explanation:
Order of Operations using BPEMDAS:
14 + 18/2(18)
14 + 9(18)
14 + 162
176
is this a function? if so what’s the domain and range. PLZ help plz