Answer:
An = 74(1.07)^n-1
Step-by-step explanation:
Here, we want to get the explicit rule
We are told that the sequence is geometric
At hour 4, we have that this is the 4th term
With conformance to the rule of geometric progression;
T4 = ar^3
90 = ar^3
for the 6th hour, this is the sixth term
103 = ar^5
dividing the 6th term by the 4th term, we have that
103/90 = ar^5/ar^3
103/90 = r^2
r = 1.07
To get a, we simply use any of the terms to substitute
using;
ar^3 = 90
a = 90/r^3
a = 90/1.07^3
a = 73.5 which is approximately 74
So the explicit rule is as follows;
An = 74(1.07)^n-1
Please answer as soon as possible.
Determine whether the quantities in each table represent a proportional relationship. If yes put the constant rate otherwise put no
Answer:
There is not a proportional relationship
Step-by-step explanation:
The first and second hour the pay is $9.50/hour, but in the third hour the pay is $11/hour. Then in the fourth hour it changes again to $10/hourIf there was a proportional relationship there would need to be a constant rate of change in pay.
Answer:
Yes, the proportional relationship is 9.50
Step-by-step explanation:
In the graph that you have attached this picture with, hours x 9.50 = pay.
Hope this helps :D
What is the distance between the points? Round to the nearest tenth if necessary
Answer:
5
Step-by-step explanation:
Pythagorean Theorem States: [tex]x^{2} +b^{2} = c^{2}[/tex]
[tex]3^{2} + 4^{2} = c^{2}[/tex]
9+16=25
[tex]\sqrt{25}[/tex]=5
PLS HELP ASAP
Use a graph to solve the following
243=3^x+^3
Answer:
They all have equal bases.
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
x=5
hope this helps !!:)
Step-by-step explanation:
Select ALL the correct answers.
Which equations have a greater unit rate than the rate represented in the table?
Y= 5/7x
Y= 3/4x
Y= 1/3x
Y= 7/9x
Y= 7/11x
Answer:
y = 5/7 x
y = 7/9 x
y = 3/4 x
Step-by-step explanation:
Firstly, let us get the unit rate on the table
That would be;
y/x = 2/3
y = (2/3)x
so the fractions greater than 2/3 will
be our answer
3/4 is greater
7/9 is greater
5/7 is greater
what’s the value of x??
Answer it 22
Step-by-step explanation:
Simplify (4/5)^-2. Show your work!
PLEASE HELP ASAP! 40 POINTS!
Answer: (16/25)
Step-by-step explanation: That's -(4/5) x -(4/5) = (16/25). It's that answer because a negative times a negative equals a positive. The exponent in the problem is telling you to multiply -4/5 times itself 2 times.
The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.
A.
n + n + 1 = 59; n = 29; n + 1 = 28
B.
n + n + 1 = 59; n = 29; n + 1 = 30
C.
n + n + 1 = 59; n = 30; n + 1 = 31
D.
n + 2n = 59; n = 19; 2n = 38
Answer:
B
Step-by-step explanation:
n+(n+1)=59
2n=59-1=58
n=58/2=29
n+1=29+1=30
Please help me with these....or one and explain how to put into calculator please.....
Answer:
1. x= -20
2. x= 6.33
Step-by-step explanation:
Question 1:
10=7
x=x+6
(Cross multiply)
10(x+6)=7x
10x+60=7x
10x-7x=-60
3x=-60
x=-60/3= -20
Question 2:
6=4
8=x-1
(Cross multiply)
6(x-1)=4×8
6x-6=32
6x=32+6
6x=38
x= 6.33
hope it helps! please mark me brainliest
thank you! have a good day ahead
1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
First solve for x.
Answer:
2x + 7= 4x + 17
x=−5
PLS help me
if you get it right i will give brainliest
Answer:
7.21
Step-by-step explanation:
Solution,
Given,
base = 4
perpendicular = 6
hypotenuse = ?
Now,
By the formula of Pythagoras Theorem,
h^2 = p^2 + b^2
h^2 = 6^2+4^2
h^2 = 36+16
h = sqrt ( 52 )
h = 7.21
Therefore, the value of x (hypotenuse) is 7.21 .
Answer:
x= 7.21///no
Step-by-step explanation:
4^2 + 6^2 = 52
take the square root which equals 7.21
///
Pythagorean triples consist of perfect squares, like 2^2 is for the side that is equal to 4, 6 is not a perfect square.
If 8-1= 7, does 8-1-2=7 - 3? Why or
why not?
Helpp ASAP
I need help please
4d + 8
Answer:
4 ( + 2 )
Step-by-step explanation:
Answer:
i am going to assume 4d+8=0 so 4d=-8 and d=-2
Step-by-step explanation:
Find the value of x
BRAINLEST I SWEAR TO GOD
What is the root ?!
9514 1404 393
Answer:
x = √70
Step-by-step explanation:
The right triangles are all similar, so we can write the ratio of long side to hypotenuse as ...
x/(7+3) = 7/x
x^2 = 7(10) = 70
x = √70
_____
Additional comments
This is called a "geometric mean", where x is the square root of the product of two numbers, 7 and 10. Those happen to be the lengths of the adjacent segment of the hypotenuse and the whole hypotenuse.
The same relation holds for BC:
BC = √(CD·CA)
__
A slightly different geometric mean relation holds for the altitude BD:
BD = √(DC·DA)
Please help, thank you! What is the difference between the probabilities of 4/4 and 100%?
(no choices)
Answer:
There is no difference
Step-by-step explanation:
because they are both equal to a 100% chance of that makes sense
hope that helps:)
Please help me find the value of x the answer must be exact
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:
[tex]leg=x\\hypotenuse=x\sqrt{2}[/tex]
Therefore, the value of x is 11.
You can double-check using the sine ratio:
[tex]sineX=\frac{opposite}{hypotenuse}[/tex]
Insert the values:
[tex]sin45=\frac{x}{11\sqrt{2} }[/tex]
Insert the equation into a calculator:
[tex]x=11[/tex]
:Done
*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.
please help and show work if you can
Answer:
7. x = 5
8. x = 2, y = 6
9. x = 21, y = 39
Step-by-step explanation:
For a parallelogram, the lengths across intersection are equal.
7. For a parallelogram, the lengths across intersection are equal.
So that,
3x = 4x - 5
4x - 3x = 5
x = 5
8. For a parallelogram, the lengths across intersection are equal.
So that,
2x = 4
x = [tex]\frac{4}{2}[/tex]
x = 2
and
y - 1 = 2y -7
7 - 1 = 2y - y
y = 6
x = 2, y = 6
9. For a parallelogram, opposite angles have equal value.
Thus,
3x = (4x - 21)
3x = 4x - 21
x = 21
and
3y = (y + 78)
3y = y + 78
3y - y = 78
2y = 78
y = [tex]\frac{78}{2}[/tex]
= 39
y = 39
x = 21, y = 39
Pls help it due soon.
Pls show workings
Pleaseeeeeeeeee
Answer:
[tex]\mathrm{D.\:}14<x<32[/tex]
Step-by-step explanation:
In any triangle, the sum of any two sides must be greater than the other side. Therefore, in the given triangle with side lengths [tex]9[/tex] and [tex]12[/tex], we can write the following inequalities:
[tex]\begin{cases}(x-2)+9>21,\\21+9>(x-2)\\\end{cases}[/tex]
Solving these inequalities, we get:
[tex]x-2>12,\\x>14\\\\30>x-2,\\x<32[/tex].
Combining this into one inequality gives us:
[tex]\mathrm{D.\:}14<x<32[/tex].
Solve the following quadratic equation for all values of x in simplest form.
Answer:
[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]
Step-by-step explanation:
Start by rewriting the equation to standard form [tex]ax^2+bx+c=0[/tex].
[tex]5(x^2-10)+5=-10,\\5x^2-50+5=-10,\\5x^2-35=0[/tex].
Factor out the 5, then isolate [tex]x^2[/tex]:
[tex]5x^2-35=0,\\5(x^2-7)=0,\\x^2-7=0,\\x^2=7,\\x=\pm \sqrt{7}.[/tex].
Therefore, the solutions to this quadratic are:
[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]
*If diagonal of a square is of length 10√2 cm then the perimeter of square is ...............cm.*
1️⃣ 40
2️⃣ 10
3️⃣ 30
4️⃣ 50
Answer: 1️⃣ 40
Step-by-step explanation:
x - is the side of the square
[tex]x^{2} +x^{2} =(10\sqrt{2})^{2} \\2x^{2}} =200\\2x^{2} \div 2=200 \div 2 \\x^{2} =100\\x=\sqrt{100} \\x=10 \: [cm] - side \: of \: a \: square[/tex]
Find the perimeter of the square.
Perimeter of the square = 4 × 10 cm = 40 cm
On a trip. Joel drove 24 miles more than Rita drove. Together they drove 340 miles.
How many miles did Joel drive?
O A 158
0
B. 182
194
D. 316
Answer:
194
Step-by-step explanation:
you would do 340 divided by 2 and that gets you 170 then you would subtract 24 from Rita and that is 146 so Rita drove 146 miles. then for Joel you add 170 +24 = 194. So Joel drove 194 miles.
hope this helps
Match the numbers with the correct label.
how are we suposed to do this
Help please.
Algebra.
Please Help.
Algebra.
If the area of a square table is 392 sq.ft. what is the length of each side?
Answer:
multiply 392 by 4 that should be your answer
Step-by-step explanation:
Please help I have 5 mins left :(
Answer:
2/10
Step-by-step explanation:
If you are trying to find out the probability of a number just know that the whole number is always going to be the denominator. In this problem, the denominator is 10 because that is the whole number of pieces of paper.
Then we look at the second part of the problem where it is asking us to figure out the probability of pulling out a number that is less than 3 which would only leave us with 1-2
This means that the probabilaty of pulling out a number less than 3 is 2/10
Answer:
2/10
Step-by-step explanation:
This has to deal with probability.
If you are going to choose a number less than 3, this makes the problem in which that 2/10 of the results would occur.
This is simply because the value of 1 and 2 are the only numbers smaller than 3.
What is the sum of the digits of the first 99 counting numbers?
Help me find the measure of each numbered angle please!
Answer:
Hope this helps
Step-by-step explanation:
What is the equation of the ellipse with major vertices at (-6, 0) and (6, 0) and minor vertices at (0, 3) and (0, -3)?
Answer:
b
Step-by-step explanation:
What are the zeroes of P(x) = x3 – 6x2 - x +62
Answer:
x = 6
x = -1
x = 1
Step-by-step explanation:
Given:
Correct equation;
P(x) = x³ - 6x² - x + 6
Computation:
x³ - 6x² - x + 6
x²(x-6)-1(x-6)
(x-6)(x²-1)
we know that;
a²-b² = (a+b)(a-b)
So,
(x-6)(x²-1)
(x-6)(x+1)(x-1)
So,
zeroes are;
x = 6
x = -1
x = 1
The marked price of a watch is Rs.2700. If the percentage of discount given on marked price is twice of the percentage of VAT and the value of the watch after adding VAT is Rs.2376.Find the rate of VAT
Answer:
24%
Step-by-step explanation:
Step one:
given data
The marked price of a watch is Rs.2700
The value of the watch after adding VAT is Rs.2376
let us find the discount
= 2700-2376
=324
then the percentage discount is
=324/2700*100
=0.12*100
=12%
The VAT is twice the discount, the VAT is 12*2= 24%