Find the slope of the line that passes through (10,9) and (5,11)
Answer:
the answer is -2/5
Step-by-step explanation:
Consider the following sequence of numbers.
3,-9,27,-81,...
I need common ratio & sum of 1st five terms
Answer:
Please check the explanation
Step-by-step explanation:
Given the sequence
[tex]3,-9,27,-81,...[/tex]
A geometric sequence has a constant ratio and is defined by
[tex]a_n=a_0\cdot r^{n-1}[/tex]
Computing the ratios of all the adjacent terms
[tex]r=\frac{a_n+1}{a_n}[/tex]
[tex]\frac{-9}{3}=-3,\:\quad \frac{27}{-9}=-3,\:\quad \frac{-81}{27}=-3[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=-3[/tex]
Therefore, the common ratio is:
r = -3Determining the sum of 1st five terms
As the first element is
[tex]a_1=3[/tex]
[tex]r=-3[/tex]
Geometric sequence sum formula is given by
[tex]a_1\frac{1-r^n}{1-r}[/tex]
Plugin the values
[tex]n=5,\:\spacea_1=3,\:\spacer=-3[/tex]
[tex]a_1\frac{1-r^n}{1-r}=3\cdot \:\frac{1-\left(-3\right)^5}{1-\left(-3\right)}[/tex]
[tex]=3\cdot \frac{1-\left(-3\right)^5}{1+3}[/tex]
[tex]=\frac{\left(1-\left(-3\right)^5\right)\cdot \:3}{1+3}[/tex]
[tex]=\frac{732}{1+3}[/tex] ∵
[tex]=\frac{732}{4}[/tex]
[tex]=183[/tex]
Therefore, the sum of the first five terms of the sequence is: 183
Help please photo is above
Answer:
y = 5
x = 10
Step-by-step explanation:
-4(2y) + 11y
-8y + 11y = 15
3y = 15
/ 3 /3
y = 5
x = 10
There were 306 students in the cafeteria. After some went outside, there were 249 students left in the cafeteria. How many students went outside? Write an equation and solve the problem?
Answer:
The equation to solve the problem is
306 = 249 + x
x = 306 - 249
Hence:
57 students went outside
Step-by-step explanation:
Let the number of students outside be represented by x
Hence:
Number of students in the cafeteria = Number of students inside - Number of students who went outside
We are told:
There were 306 students in the cafeteria. After some went outside, there were 249 students left in the cafeteria.
The equation to solve the problem is given as:
306 = 249 + x
x = 306 - 249
Hence:
x = 57
57 students went outside
As a plane takes off it ascends at a 20 degree angle of elevation. If the plane has been traveling at an average rate of 290 ft/s and continues to ascend at the same angle, then how high is the plane after 10 seconds (the plane has traveled 2900ft).
Given :
As a plane takes off it ascends at a 20 degree angle of elevation.
If the plane has been travelling at an average rate of 290 ft/s and continues to ascend at the same angle.
To Find :
How high is the plane after 10 seconds.
Solution :
Distance travelled by plane, D = 2900 ft.
Angle of elevation, Ф = 20°.
Height gained is given by :
[tex]H = Dsin\ \phi[/tex]
H = 2900 × sin 20°
H = 991.86 ft.
Therefore, height of plane after 10 seconds is 991.86 ft.
Hence, this is the required solution.
What is the answer to x?
Answer:
x=24ft.............
Answer:
x = 24 ft.
Step-by-step explanation:
The 13 and the 5 and both multiplied by 2 to find the lengths of the second triangle. So, the 12 should also be multiplied by 2 to find the value of x:
12 * 2 = 24
x is 24 ft.
What are the greatest common factors between 18
and 21?
Answer:
1, 2, 3, 6, 9, 18. Factors of 21: 1, 3, 7. The highest number that both sets contain is 3, so the GCF will be 3.
Step-by-step explanation:
THE PRESENT AGE OF A FATHER IS THREE TIMES THAN THAT OF HIS SON. FIVE YEARS AGO HE WAS FIVE TIMES AS OLD AS HIS SON. FIND THEIR PRESENT AGES.
(STEP BY STEP PLZ) (HOPE U ENJOY IT)
Answer:
Pls See the photo
Step-by-step explanation:
Hope u like it
Answer:
His son is 10 and his father is 30.
Step-by-step explanation:
Let the age of his son be x and his father's age be 3x.
5(x-5) = 3x-5
5x-25 = 3x-5
5x-3x = 25-5
2x = 20
x = 10
3x = 10 × 3
= 30
13 points Please answer quick.
Divide (x^5 - x^4 + x^3 - x^2 + x -1) by (x-1)
show your calculation
If you don't know don't answer.
If you do it I will report the answer.
Step-by-step explanation:
That's what I got.
Hope that was helpful
Answer:
[tex]\boxed{x^4 + x^2 + x}[/tex]
Step-by-step explanation:
[tex]\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}[/tex]
[tex]= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}[/tex]
[tex]= x^4 + x^2 + x[/tex]
.
Happy to help :)
pls help will mark brainliest
Answer:x=0,5
Step-by-step explanation:
6x -1/2=1
6x-1=1.2
6x-1=2
6x=2+1
6x=3
x=3/6
x=0,5
Calculate the slope between the points (0,1) and (8,4)
Answer:
3/8
Step-by-step explanation:
[tex]slope = \frac{4 - 1}{8 - 0} = \frac{3}{8} \\ [/tex]
Answer:
0.375
Step-by-step explanation:
slope = Y2-Y1/X2-X1
slope = 4-1/8-0
slope = 3/8
slope = 0.375
Hope that helps!
Mrs. Brown gave her daughter, Shane, $250 to open a savings account. Each month, Mrs. Brown gives Shane $50 to deposit into her savings account. Which equation can be used to find m, the number of months after opening her account when Shane will have $800 in her savings account?
Answer:
Equation ; 800 = 50m + 250Number of months = 11 monthsStep-by-step explanation:
This is a linear relationship which means that it follows the equation;
y = mx + c
y will be the total after some months so will be $800
m will be the number of months
x is the amount the account increases by every month which is $50 here
c is the amount in the account before the $50 started being added which is $250.
800 = 50m + 250
50m = 800 - 250
m = (800 - 250) / 50
m = 11 months
b\7+12=-8 helpppppppp
Answer:
b = -152
Step-by-step explanation:
7 + 12 = 19Plug 19 in: [tex]\frac{b}{19} = -8[/tex] Multiply each side by 19 to cancel out the 19 under b. It should now look like this: b = -152I hope this helps!
Anything helps thank you
Answer:
It's been a while since I've done stuff like that but I think the y intercept is the flat fee and the slope is the amount added.
Answer:
Ich habe keine Ahnung, aber danke für die Punkte!
Step-by-step explanation:
Solve |x|>4
A. {-4,4}
B. {x|-4
C. {x|x<-4 or x>4}
Answer:
C. {x | x < -4 or x > 4}Step-by-step explanation:
|x| > 41. x > 42. x < -4Combined, it is option C. {x | x < -4 or x > 4}
carmela walked 3 miles in 3/4 hours Hari walked 2 miles in 1/2 did they walk the same speed?
Answer:Yes
Step-by-step explanation:
Carmela:3/4/3=1/4 per mile
Hari:1/2/2=1/4 per mile
How can 12 x 50 help you find 12 x 49?
Answer:
It can help by solving out 12x50 because it is easier to solve without a calculator
Step-by-step explanation
Answer:
12x50=600
12x49=588
600-12=588!
Step-by-step explanation:
28% of US adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive.
Answer:
a
[tex]P(X = 2) = 0.2547[/tex]
b
[tex]P(X > 2) = 0.5623 [/tex]
c
[tex]P(2 \le X \le 5 ) = 0.7817 [/tex]
Step-by-step explanation:
From the question we are told that
The proportion of US adults who say that they are likely to make purchase during a sale tax holiday is
[tex]p = 0.28[/tex]
The sample size is n = 10
Generally the distribution of US adults who say that they are likely to make purchase during a sale tax holiday, follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability number of adult is exactly 2 is mathematically represented as
[tex]P(X = 2) = ^{10}C_2 * (0.28)^2 * (1- 0.28)^{10-2}[/tex]
=> [tex]P(X = 2) = 45 * 0.0784 * 0.0722[/tex]
=> [tex]P(X = 2) = 0.2547[/tex]
Generally the probability number of adult is more than 2 is mathematically represented as
[tex]P(X > 2) = 1- [P(X \le 2) ][/tex]
[tex]P(X > 2) = 1- [[P(X = 0)] +[P(X = 1) ] + [P(X = 2)] ][/tex]
=> [tex]P(X > 2) = 1- [^{10}C_0 * (0.28)^0 * (1- 0.28)^{10-0}] +[^{10}C_1 * (0.28)^1 * (1- 0.28)^{10-1}] + [^{10}C_2 * 0.28^2 * (1- 0.28)^{10-2}] ][/tex]
=> [tex]P(X > 2) = 1- [0.0374 + 0.1456 + 0.2547 [/tex]
=> [tex]P(X > 2) = 0.5623 [/tex]
Generally the probability number of adult is between two and five, inclusive is mathematically represented as
[tex]P(2 \le X \le 5 ) = [P(X = 2 ) + P(X = 3 ) +P(X = 4) + P(X= 5 )] [/tex]
=> [tex]P(2 \le X \le 5 ) = [[^{10}C_32 * 0.28^2 * (1- 0.28)^{10-2}] + [^{10}C_3* 0.28^3 * (1- 0.28)^{10-3}] +[^{10}C_4 * 0.28^4 * (1- 0.82)^{10-4}] + [^{10}C_5 * 0.28^5 * (1- 0.28)^{10-5}]] [/tex]
=> [tex]P(2 \le X \le 5 ) = [[0.2547] + [120* 0.02195 * 0.1003] +[210 * 0.00615 * 0.1393] + [252 * 0.0017 * 0.1935]] [/tex]
=> [tex]P(2 \le X \le 5 ) = [[0.2547] + [0.2642] +[0.1799] + [0.0829] [/tex]
=> [tex]P(2 \le X \le 5 ) = 0.7817 [/tex]
part of Ariana's earnings are based on a 5% commission rate at the end Of the day Ariana earns $14.98 in commissions how much did Ariana sell that day
HELP ASAP
Answer:
$0.75
Step-by-step explanation:
To find the answer multiply the amount of money earned by the percentage $14.98 and 5%
turn the percentage into a decimal. divide the number of the percentage by 100 5/100=0.05
multiply this by the amount of money to get 0.05*14.98=0.749. then round answer to two decimal places to get $0.75
Answer:
$0.75
Step-by-step explanation:
Select the correct answer.
Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?
A.
point U
B.
point V
C.
point W
D.
point X
Answer:
the answer is W i think
Step-by-step explanation:
What is the base 5 representation of the number 219?
The easiest way to do this is to start with the power of 5 that is just under 219.
125 would be the closest power of 5
Now subtract 125 from 219 = 94
=====================
The highest power of 5 closest to 94 is 25. You have to multiply 25 * 3 to get a number close enough to 94 that leaves a remainder under 25
94 - 75 = 19
=======================
19 - 3 * 5 = 4 Same argument as above.
219_10 = 1334_5
- 6x + 5y = 11 Complete the missing value in the solution to the equation x=-1
Answer:
Step-by-step explanation:
-6x+5y=11
If x= -1 replace x with -1
-6(-1)+5y=11
6+5y=11 subtract 6 from both sides
5y=5 divide by 5
y=1
Answer:
Sub in the value, 6mutiplied by -1 is 6 so 6+5y=11. Subtract 6 from both sides. 5y=5
Y=1
X=-1
(-1,1)
can someone help me with this please and explain what a term is
Answer:
3y
Step-by-step explanation:
A term is a mathematical expression, in this case a number multiplied by a variable.
Like terms would mean anything that is equal to 3x.
Because 3 is a constant number, any like terms have to have the number 3 in it, so we can eliminate 5x, -2x, 7y, and x because they don't have a 3.
y is a variable which is a stand-in for an unknown number, and it can be switched out with any one variable. That means the only possible answer is 3y
un objeto cae accidentalmente de un vehículo que lleva una rapidez de 50 kilómetros por hora y recorre 20 m antes de detenerse
Un objeto cae accidentalmente de un vehículo con una velocidad de
50 km / hy recorra 20 m antes de detenerse.
Calcular:
a) La aceleración:
b) El tiempo que tarda en detenerse:
Responder:
1.439 s
-9,645 m / s²
Explicación paso a paso:
Dado que:
Velocidad en m / s = (50 * 1000) / 3600 = 13.899 m / s
Distancia (d) = 20
Tiempo = distancia / velocidad
Tiempo = 20 / 13.889
Tiempo = 1.439 s
Aceleración (a):
Cambio de velocidad / tiempo empleado
= (0 - 13,889) / 1,439
- 13.889 / 1.439
= -9,645 m / s²
Last year, your store's total revenue was $272,000. The store's total discounts were $3,505 and returns totaled $1,459.
What were your store's net sales?
a) $209,844
b) $254.984
c) $267.036
d) $289,890
Answer: 267,306
Step-by-step explanation:
Alexa brought 20 chocolate cookies and sugar cookies to the fall party in the ratio of 2:3. How many chocolate cookies does she have?
Answer:
8 chocolate cookies
Step-by-step explanation:
2+3 = 5
20/5=4
4x2
8
The slope intercept form of a linear equation is y=mx+b,where x and y are coordianates of an ordered pair, m is the slope of the line, and b is where the Crosse...
Answer:
The equivalent equation solved for x is x = (y-b)/m
Step-by-step explanation:
Here is the complete question:
The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of the line, and b is where the line crosses the y-axis.
Which is an equivalent equation solved for x?
x = y-bmx = y-b over m
x= my + b
m=y−bxm is equal to the fraction with numerator y minus b and denominator x
x=y−bm
Step-by-step explanation:
To determine the equivalent equation solved for x, we will make x the subject of the formula.
From the given equation,
y = mx + b
To make x the subject of the equation,
First, add -b to both sides of the equation, so that we get
y +(-b) = mx +b +(-b)
Then, we will get
y-b = mx +b -b
y-b = mx
Finally, to make x the subject of the equation, we will divide both sides by the coefficient of x ( that is, m)
(y-b) / m = mx / m
Then,
(y-b)/m = x
∴ x = (y-b)/m
Hence, the equivalent equation solved for x is x = (y-b)/m.
The first option is correct
x = (y-b)/m = y-b over m
uh .. help i guess? :)
Answer:
90°
45°
45°
90°
Step-by-step explanation:
this is a square all the sides and angles are equal .
all angles being 90°.
and all diagonals of a square are also 90°
Transform each of the following into a quadratic equantion in the form ax +bx + c = 0
x(x+5)=2
Answer:
x² + 5x - 2 = 0
Step-by-step explanation:
The standard form of a quadratic equation is ax² + bx + c = 0 (a ≠ 0 )
Given
x(x + 5) = 2 ← distribute left side
x² + 5x = 2 ( subtract 2 from both sides )
x² + 5x - 2 = 0 ← in standard form
two supplementary angles differ by 34. find the angles..
Answer:
107°
73°
Step-by-step explanation:
Let the two supplementary angles be x° and y°.
x + y = 180....(1)
Since, supplementary angles differ by 34.
Therefore,
x - y = 34....(2)
Adding equations (1) & (2)
x + y = 180
x - y = 34
_________
2x = 214
x = 214/2
x = 107°
Plug x = 107 in equation (1)
107 + y = 180
y = 180- 107
y = 73°