Answer:
-40960
Step-by-step explanation:
5,-10,20,..
first term= 5 and common ratio= -2
aₙ= a₁*rⁿ⁻¹
a₁₄= 5*(-2)¹³= -40960
Work of the size of one exterior angle
Answer:
<x = 36°
Step-by-step explanation:
In a regular decagon, Every interior angles is equal to 144.
So,
<x + 144 = 180 [Angles on a straight line]
<x = 180-144
<x = 36°
The cost in dollars C(x), where x is the number of miles driven, of renting a car for a day is C(x)=1.95x+32. What is the independent variable and its units? ______ (dollars, miles, miles per dollar, or dollars per mile) - select the correct units What is the dependent variable and its units? ______ (miles or dollars) - select the correct units
Answer:
the independent variable is 32 (price of the car in dollars) as it stands alone without a variable and 1.95 is the dependent (cost per mile)
A boy was watching the show standing on the ground. A jet fighter when 1000m high passes vertically above an other jet fighter at an instant, when the angle of elevation of the two jets from the boy are 60 degrees and 45 degree respectively. At what distance (vertical) the pilots were flying the jets at that instant
Answer:
The pilot above at 1000m above ground and pilot below 742.23 metres above ground
Step-by-step explanation:
Imagine everything as triangles. Mark where the boy stands and the 2 jets are in the air
A sequence is defined by the explicit formula an=3n+4 Which recursive formula represents the same sequence of numbers?
Answer:
Option (3)
Step-by-step explanation:
Explicit formula of the sequence is,
[tex]a_n=3^n+4[/tex]
From this explicit formula,
First term of the sequence will be,
[tex]a_1=(3^1)+4[/tex]
[tex]a_1=7[/tex]
Second term of the sequence,
[tex]a_2=(3^2)+4[/tex]
[tex]a_2[/tex] = 13
3rd term of the sequence,
[tex]a_{3}=(3^3)+4[/tex]
= 31
Sequence formed,
7, 13, 31 ..........
From the given options,
Recursive formula,
[tex]a_n=3a_{n-1}-8[/tex]
[tex]a_2=3(a_1)-8[/tex]
[tex]a_2=3(7)-8[/tex]
[tex]a_2=21-8[/tex] = 13
[tex]a_3=3a_2-8[/tex]
[tex]a_3=3a_2-8[/tex]
[tex]a_3=3(13)-8[/tex]
= 39 - 8
= 31
Sequence formed from this recursive formula will be,
7, 13, 31........
Therefore, Option (3) will be the answer.
Answer:
C
Step-by-step explanation:
i took the test
The sequence of the differences, 2, 4, 8, 16, 32, … is a geometric sequence with:
Answer:
The first term as 2.
Pattern: Multiply the previous term and 2 to get the next term.
Step-by-step explanation:
The pattern is every term is 2× the previous term.
The sequence of the differences, 2, 4, 8, 16, 32, … is geometric. The pattern is every term is 2 times the previous term.
What is geometric series?The geometric series is a series in which the ratio of two consecutive numbers is constant.
The sequence of the differences, 2, 4, 8, 16, 32, … is geometric.
So, The ratio of two consecutive numbers is constant.
r = 4/2 = 2
r = 8/4 = 2
Thus, The pattern is every term is 2 times the previous term.
Learn more about geometric series;
https://brainly.com/question/13041183
#SPJ2
x square + 4 x - 12 all over x squared - 2x
Answer:
[tex]\frac{x+6}{x}[/tex]
Step-by-step explanation:
=> [tex]\frac{x^2+4x-12}{x^2-2x}[/tex]
=> [tex]\frac{x^2+6x-2x-12}{x(x-2)}[/tex]
=> [tex]\frac{x(x+6)-2(x+6)}{x(x-2)}[/tex]
=> [tex]\frac{(x-2)(x+6)}{x(x-2)}[/tex]
Cancelling (x-2)
=> [tex]\frac{x+6}{x}[/tex]
Sue has 20 biscuits There are: 12 plain biscuits 5 chocolate biscuits 3 currant biscuits Sue takes two random biscuits Work out the probability that the two biscuits were not the same type
Answer:
58.43%
Step-by-step explanation:
The first thing we must do is calculate the probability of when both are equal, that is, take out two cookies of the same type, since we can calculate that they are not equal by means of their complement:
The probability that they are equal is:
P (plain, plain) = (12/20) (11/19)
= 132/380
P (chocolate, chocolate) = (5/20) (4/19)
= 20/380
P (currant, currant) = (3/20) (2/19)
= 6/380
The final probability would be the sum of these:
P (equal) = 132/380 + 20/380 + 6/380
P (equal) = 158/380
P (equal) = 0.4157
The probability that they are different is the opposite of the probability that they are equal, that is, the complement. Therefore, the probability that they are different is:
P (different) = 1 - 0.4157
P (different) = 0.5843
In other words, the probability would be 58.43%
2x + 3y = 13
4x - y = -2
Answer:
x=1/2. y=4
Step-by-step explanation:
4(2x+3y=13)=8x+12y=52
2(4x-y=-2)=8x-2y=-4
subtract equation one from equation two to get
14y=56 then u will divide bothe sides by 14. for x u substitute y in equation one
Answer:
x = 1/2 y = 4
Step-by-step explanation:
Equation 1
2x + 3y = 13
Equation 2
4x - y = -2
Multiply equation 2 by 3
12x - 3y = -6
Add equation 1 to 3
14x = 7
x = 7/14
x = 1/2
Substitute x into equation 1
2(1/2) + 3y = 13
3y = 13 -1
3y = 12
y= 12/3
y = 4
x =1/2 y = 4
Hope this helps.
Decrease £248 by 30%
Answer:
173.6
Step-by-step explanation:
0.7(248)
173.6
Answer:
£ 173.6
Step-by-step explanation:
£248 *0.30= 74.4
£248 -74.4 =173.6
Calculate 85% of 2 500m
Answer:
Step-by-step explanation:
85% of 2500 m
= 85/100 × 2500 = 2125 m
hope this helps
plz mark it as brainliest!!!!!!
Answer:
2125
Step-by-step explanation:
85% times 2500
apply the distributive property to factor out the greatest common factor for 9+12n I need an expression too
Answer:
3(3+4n)
Step-by-step explanation:
Given that ABCD is a rhombus, find the value of x.
Answer:
C
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other.
Thus the angle at the intersection of the diagonals is 90°
The sum of the 3 angles in a triangle = 180°
Sum the angles in the lower triangle and equate to 180, that is
90 + x + x + 40 = 180
2x + 130 = 180 ( subtract 130 from both sides )
2x = 50 ( divide both sides by 2 )
x = 25 → C
The value of x is 25.
What are some of the properties of a rhombus?
All four sides are equal.Diagonals bisect each other at 90°.Given
ABCD is a rhombus,
∠CAD = x°,
∠BDA = (x + 40)°.
Find the equation in x
Let the point where the diagonals intersect be E.
Then, using the property of the rhombus ∠AED = 90°.
We know, in a triangle that the sum of all the three interior angles equals 180°. So, we get,
∠AED + ∠BDA + ∠CAD = 180°
⇒ ∠BDA + ∠CAD = 180° - ∠AED
= 180° - 90° = 90° (∠AED = 90°)
Put the given values of these angles,
(x + 40)° + x° = 90°.
This is the equation to be solved to obtain x.
Solve for x
(x + 40)° + x° = 90°
⇒ (2x)° = 90° - 40° = 50°
⇒ x° = (50 / 2)°
⇒ x = 25.
The required value of x is 25.
Learn more about the properties of a rhombus here
https://brainly.com/question/12189679
#SPJ2
On Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4. Write a mathematical statement that represents the situation and determine the price at the end of the week.
Answer:
The price at the end of the week is $33.
Step-by-step explanation:
We are given that on Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4.
The price of a company’s stock on Monday = $30 per share
So, the mathematical statement that represents the situation is given by;
Price of company’s stock on Monday = $30
On Tuesday, the stock price drops $3, so the price of company’s stock on Tuesday = Price of company’s stock on Monday - Drop in price on Tuesday
= $30 - $3 = $27
On Wednesday, the stock price rises $7, so the price of company’s stock on Wednesday = Price of company’s stock on Tuesday + Rise in price on Wednesday
= $27 + $7 = $34
On Thursday, the stock price rises $3, so the price of company’s stock on Thursday = Price of company’s stock on Wednesday + Rise in price on Thursday
= $34 + $3 = $37
On Friday, the stock price drops $4, so the price of company’s stock on Friday = Price of company’s stock on Thursday - Drop in price on Friday
= $37 - $4 = $33
Hence, the price at the end of the week is $33.
Isaac applied the steps below to find the product of (4.2)(-5.4).
.
Step 1: (4.2)(-5.4) = (-5.4)(4.2)
Step 2:
= (-5.4)(4) + (-5.4)(0.2)
Step 3:
= (-21.6) + (-1.08)
Step 4:
=-22.68
Which step shows where Isaac applied the distributive property?
Step 1
0 0
Step 2
Step 3
Step 4
The answer is step 2. hope it helps.
Answer:
step 2
Step-by-step explanation:
Which expression is equivalent to 9 p minus 3 p + 2? 8p
Answer:
6p - 2
Step-by-step explanation:
9p - (3p + 2) = 9p - 3p - 2 = 6p - 2
The expression that is equivalent to 9 p minus 3 p + 2 is 6p - 2
What is the expressionFrom the question, one have 9p - 3p + 2.
So, one has to combine the like terms, which means adding or subtracting the coefficients of the same variable. For the terms with 'p', one have 9p - 3p.
Combining the coefficients, one get 9 - 3 = 6.
So, 9p - 3p is simplifies to 6p.
So, one have 6p + 2.
The expression is said to be now simplified to 6p + 2.
Learn more about expression from
https://brainly.com/question/1859113
#SPJ2
Please answer asap thanks
Answer:
V = 200 pi units ^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 pi r^2 h
V = 1/3 pi ( 10 ^2) (6)
V = 1/3 pi (100) *6
V = 200 pi
What is the units digit of $7^7$ when expressed as an integer?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Just stick it into a calculator lol
Brainliest will be given i need answer ASAP please.
Simplify 84,375/325 to its lowest multiple Example 16/4 = 4/1
Answer:
3375/13
Step-by-step explanation:
it's found though this equation [tex]\frac{84375/25}{325/25}[/tex]
Answer:
[tex]3375/13[/tex]
Step-by-step explanation:
[tex]84,375/325[/tex]
Divide the numerator and denominator by 25.
[tex]3375/13[/tex]
[tex]=259.615385[/tex]
th
Write an explicit formula for An, the nth
term of the sequence 15, 23, 31, ....
Answer:
a₁ = 15 and common difference = 8 so the formula is:
aₙ = 15 + (n - 1) * 8
= 8n + 7
An account pays 7%per year simple interest. In 1 year, the amount in the account is 950. How much is in the account in year 6
Answer:
First year's interest is already given.
There are 5 more payments of interest
= 5 * 0.07 * 950 = 332.5
so amount in the account after 6 years = 950 + 332.5 = 1282.5
Answer:
The answer is 1282.50
Step-by-step explanation:
Elijah uses 2 pints of stain on each table that he makes . How many tables can he paint with 1 gallon of stain ? sets
Answer:
4 sets
Step-by-step explanation:
1 gallon contains 8 pints. It takes 2 pints per table, so we should divide 8 by 2.
By doing this, we get 4, therefore he can stain 4 sets of tables with a gallon of stain.
Solve x^4 -3x^2 +2=0 using substitution. U=
Answer:
U = x^2
hope this helped!
Answer:
x^2
Step-by-step explanation:
The person above me is spitting mad facts and da TRUTH and also UNUS ANNUS
The volume of the cylinder is 230 cubic units. What is the volume of the
cone? Round to the nearest enth if necessary.
Answer:
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder
h represents the height of the cylinder
π is a constant
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
Where
r represents the radius of the cone
h represents the height of the cone
This means that the volume of the cone is 1/3 × volume of cylinder. Since the volume of the given cylinder is 230 cubic units, then
Volume of cone = 1/3 × 230 = 76.7 cubic units
straight line graphs: find the equation of the lines shown
Answer:
1. y = -2n + 9
2. y = (1/2)x + 1/2
Step-by-step explanation:
1.
The equation of a line is denoted by y = mx + b, where m is the slope and b is the y-intercept.
Slope is calculated by taking two coordinates and dividing the difference of the y-coordinates by the difference of the x-coordinates. The y-intercept is where the line intersects the y-axis.
Let's choose any two points on the line: (4, 1) and (3, 3). Then:
slope = m = (3 - 1) / (3 - 4) = 2 / (-1) = -2
Now, we can also see that at the point (0, 9), the line intersects the y-axis, so that means b = 9.
The equation is thus y = -2n + 9.
2.
Let's again choose any two points to find the slope: (1, 1) and (3, 2). Then:
slope = m = (2 - 1) / (3 - 1) = 1/2
We can see that the line crosses the y-axis at the point (0, 1/2), so that means b = 1/2.
The equation is thus y = (1/2)x + 1/2.
~ an aesthetics lover
Answer:
1. y = -2x + 9
2. y = (1/2)x + 1/2
Step-by-step explanation:
There was a mistake on the last one so I would like to correct it it is
y= -2x+9
The other one said -2n its -2x
Anybody know this ? Please help :(
Answer:
D
Step-by-step explanation:
5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50
Option D is the answer:
5.50, 5.75, 6.00, 6.25, 6.50...
I NEED EVERY BODIES HELP ASAP!!!!!!!!!! the question is 15.6/-3
Answer:
-5.2
Step-by-step explanation:
15.6/-3= - 15.6/3= -5.2
Anyone know this ? Please help
Answer:
3018
Step-by-step explanation:
an = a1 + (n-1)d
a1 is the first term in the sequence = 24
n is the term number which is 500
d is the common difference
Take the second term and subtract the first term to find the common difference
d = 30-24 = 6
a500 = 24 + (500-1) *6
=24+ 499*6
=24 + 2994
=3018
Answer:
3018 is the correct answer.
Is the following statement true or false? The intersection of a plane and a ray can be a line segment.
Answer:
False
Step-by-step explanation:
Is the following statement true or false?
The intersection of a plane and a ray can be a line segment.
It is false. Correct one is the point.Important!!!
That is the distance between (-5, 4) and (-1, 4)?
-5 units
-4 units
4 units
5 units
Answer:
4 units
Step-by-step explanation:
Since the y value is the same, we only have to look at the x value
-1 - -5
-1 +5
4
The distance is 4 units
Answer:
4 units
Step-by-step explanation:
if you graph these 2 points, they'll be on the same line of the graph separated by 4 units
What is the domain of g(x)?
Answer:
-2 ≤x≤5
Step-by-step explanation:
The domain is the inputs
The lowest value of x is -2 and every value of x is valid up to 5
-2 ≤x≤5