Answer:
Step-by-step explanation:
First rule:- Each value of y after the first one is obtained by multiplying the previous value by 1.5, ( Note 11.25 / 7.5 = 1.5 and 7.5 / 5 = 1.5).
The relationship is : a(n) = 5 * 1.5^(n-1)
Second Rule:- Note:- 12 - (-6) = 18 and 30 - 12 = 18. So we add 18 to get the next term in this rule.
Relationship is : a(n) = -6 + 18(n - 1).
1. Find the numbers a, b, c such that
2x4 + 2x3 +5x2 + 3x + 3 = (x2 + x +1)(ax2+bx+c)
for all values of x.
Answer:
a = 2
b = 0
c = 3
Step-by-step explanation:
if I understand correctly the problem should look like
2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)
let's calculate the right side
ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c
as there is only one term of x⁴, we know a = 2
as there is only one term without any x, we know c = 3
now we get
2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3
remember, that is equal to
2x⁴ + 2x³ + 5x² + 3x + 3
after subtracting 2x⁴ and 3 from both sides we get
2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x
we subtract 2x³ and 3x from both sides and get
5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx
we subtract 5x² from both sides and get
0 = bx³ + bx² + bx
=> b must be 0 to make this true for all values of x
Please only respond if you know it’s correct
given AB is a diameter, find the measure of
Answer:
Angle BCA = 90
Step-by-step explanation:
A triangle inscribed inside of a circle using the diameter as it's hypotenuse is a right triangle
Where the angle opposite of the hypotenuse ( or diameter ) is the right angle
Angle BCA is the angle opposite of the diameter
Hence BCA = 90
Jayden is on his boat riding through the Cooper River. He spots the Cooper River Bridge at an angle of elevation of 42⁰. If the bridge stands 761 feet above Jayden’s viewing point on the boat, what is the horizontal distance from Jayden to the bridge?
The horizontal distance from Jayden to the bridge will be equal to 845.17 feets.
What is trigonometry?
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
The angle of elevation of 42⁰
The bridge stands 761 feet above
Here the horizontal distance will be calculated as:-
[tex]x= \dfrac{761}{tan42}=845.187\ feet\\[/tex]
Therefore the horizontal distance from Jayden to the bridge will be equal to 845.17 feet.
To know more about Trigonometry follow
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If h(2) = 5 – 722, what is h(-1)?
Answer:
Step-by-step explanation:
Need help it’s due very soon and show work please ASAP !!?
Answer:
The volume of the cylinder is 125.664 cubic inches, without rounding off
help! f(x)=x^2 what is g(x)
Answer:
C.) g(x) = 3x^2
I
5 : 20 = 125 : 500
Answer:
20
Step-by-step explanation:
Find the missing side
Answer:
x = 71.5 in
Step-by-step explanation:
Remember the SOHCAHTOA rule
Soh...
Sine = Opposite / Hypotenuse
...cah...
Cosine = Adjacent / Hypotenuse
...toa
Tangent = Opposite / Adjacent
In this case, we use: CAH.
cos(52) = 44/x
x = 44/cos(52)
x = 71.5 inches
Find the value of X and BD
Answer:
x = 2, BD = 13
Step-by-step explanation:
Given 2 intersecting chords , then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
4(5x - 1) = 6 × 6 = 36 ( divide both sides by 4 )
5x - 1 = 9 ( add 1 to both sides )
5x = 10 ( divide both sides by 5 )
x = 2
Then
BD = 5x - 1 + 4 = 5(2) + 3 = 10 + 3 = 13
find the slope of the line between the following two points (-5,-1), (-1,9)
respond quick please :)
Answer: The slope of the line is -2
Step-by-step explanation:
We can use the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to solve to for this
[tex]\frac{-9--1}{-1--5} \\\frac{-8}{4} \\-2[/tex]
Can you help me solve this please by telling my how they are congruent. please your my only hope....
Answer:
they are congruent im pretty sure
Step-by-step explanation:
looks like they are congruent by SAS
What is the area of the square
One side has 5 feet
A)10 square feet
B) 25 square feet
C) 20 square feet
D) 5 square feet
a + x = -3 với a = 5 . Tìm x
Answer:
the answer is if a=5
than, 5+x=-3
or,x=-3-5
therefore x=-8
Answer:
[tex]x = - 8[/tex]
Step-by-step explanation:
[tex]a + x = - 3[/tex]
[tex]5 + x = - 3[/tex]
[tex] x = - 3 - 5[/tex]
[tex]x = - 8[/tex]
Hope it is helpful...The initial temperature of a cup of hot coffee is 46.8°C. After 20 minutes,the temperature of the coffee has reduced by 12.6°C. What is the temperature,in °C,of the coffee now?
Answer:
The current temperature = 34.2°C
Step-by-step explanation:
Initial temperature = 46.8°C
After 20 minutes temperature reduced by 12.6°C
Therefore, the current temperature is = 46.8°C - 12.6°C = 34.2°C
If a test consists of ten mulitpel choice questions,with each permiting aposible answers.How mmany ways are ther in wvhich a student give his answer?
The question given is incomplete, find the possible version in the comment below.
Answer:
9765625 ways
Step-by-step explanation:
To solve questions of this kind, we can apply the product rule ;
We have 10 different questions, each with 5 alternative options, even though there is only one correct answer, the number of answers that can be chosen (either correct or incorrect) is 5 ;
Therefore, we have 5 possible choices for each question :
Question 1 = 5 ; question 2 = 5,....
This can be written as :
5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 = 5^10 = 9765625 ways
Social studies Geometry P.11 Similarity and altitudes in right triangles CEZ You have priz If SU = 28 and UV = 6, what is TU? T s V U Write your answer as a whole number or as a decimal rounded to the nearest hundredth. TU = Submit JUN E
Answer:
TU ≈ 12.96
Step-by-step explanation:
Using the Altitude on Hypotenuse theorem
(leg of outer triangle)² = (part of hypotenuse below it) × (whole hypotenuse)
TU² = UV × SU = 6 × 28 = 168 ( take square root of both sides )
TU = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )
Please help me kitty <3
•multiple-choice answer
Answer:
Decreasing linear
Step-by-step explanation:
An arithmetic sequence decreases by a set amount every time through subtraction, so that means it's linear
The area of the given rectangle is 63 sq m. One of the side is 9 m, then the missing side of the given rectangle will be
Answer:
7 m
Step-by-step explanation:
63/9=7 and 7*9=63
Answer: 7.
Step-by-step explanation:
Divide 63 and 9 and you get 7. Remember, length times width equals area.
find the length of side x in simplest radical form with a rational denominator.
======================================================
Explanation:
Both legs are the same length, as indicated by the tickmark.
a = [tex]\sqrt{10}[/tex]b = [tex]\sqrt{10}[/tex]c = xUse the pythagorean theorem to solve for x
[tex]a^2+b^2 = c^2\\\\( \sqrt{10} )^2 + ( \sqrt{10} )^2 = x^2\\\\10 + 10 = x^2\\\\x^2 = 20\\\\x = \sqrt{20}\\\\x = \sqrt{4*5}\\\\x = \sqrt{4}*\sqrt{5}\\\\x = 2\sqrt{5}\\\\[/tex]
NEED HELP ASAP PLS
10. Jimmy was a busboy and makes 7.15 per hour. Ashley is a server and makes 3.40 per hour plus about $105 in tips per week. how many hours would they have to work to make the same amount?
Answer: 28 hours
Step-by-step explanation:
1. Write original equation: 7.15x=3.40x+105
2. Combine like terms to isolate x: 3.75x=105
3. Divide both sides by same amount to find x: x=28
They would have to work 28 hours to earn the same amount of money.
03.
(a)
Multiply out
3(2x-7)
Answer
Answer: -42 is the answer.
- 3/8 + 1/6
i kinda just didn't pay attention in class, i just need an explaination of how to solve it and im good to go
Answer:
[tex]{ \tt{ - \frac{3}{8} + \frac{1}{6} }} \\ { \bf{l.c.m \: of \: 8 \: and \: 6 = 24}} \\ { \tt{formular = \frac{(l.c.m \times denominator \div numerator)}{l.c.m} }} \ \\ \\ = \frac{(24 \times 8 \div - 3) + (24 \times6 \div 1)}{24} \\ = - \frac{5}{24} [/tex]
Jackson has a monthly sabry of $2750. He also resensies 2.5% commission on all sales over $6000. What is his salary in a month when he has sales of $ 14000
Answer:
$3100
Step-by-step explanation:
Just do 0.025*14000=350. Then add it to $2750
Alguien me dice como lo hago paso a paso porfa
mediante la formulación y solución algebraica de sistemas de dos ecuaciones lineales con dos incógnitas
Completa la tabla para la expresión en que y= 2x – 1
y = 2x – 1
y = 2(1) – 1
y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo
Answer:
Completa la tabla para la expresión en que y= 2x – 1
y = 2x – 1
y = 2(1) – 1
y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo
Find the radical equivalent of 2723 and compute it.
ASAP PLS
Do y’all know this?
Answer:
Step-by-step explanation:
x=[tex]\sqrt{100+16}[/tex]
x=[tex]\sqrt{116}[/tex]
x=2[tex]\sqrt{29[/tex]
Answer:
[tex] x = \blue{2\sqrt{29}} [/tex]
Step-by-step explanation:
[tex] a^2 + b^2 = x^2 [/tex]
[tex] 4^2 + 10^2 = x^2 [/tex]
[tex] 16 + 100 = x^2 [/tex]
[tex] x^2 = 116 [/tex]
[tex] x = \sqrt{116} [/tex]
[tex] x = \sqrt{4 \times 29} [/tex]
[tex] x = \blue{2\sqrt{29}} [/tex]
Geometry geometry help
Answer:
x = 32
Step-by-step explanation:
The sum of all interior angles of this pentagon is 540
Solve for x by using this formula
540 = (180-71)+(180-85)+(180-44)+(180-3x)+(180-2x)
540 = 700 - 5x
540 - 700 = -5x
-160 = -5x
-160/-5 = x
32 = x
can someone help me !
Answer:
Wouldn't it be B?
Step-by-step explanation:
When you have a radical like -[tex]\sqrt{25}[/tex], it would be -5 because the negative is added after the radical is simplified. When the negative is in the inside like your [tex]\sqrt{-25}[/tex], then you can ignore the negative temporarily and simplify to get 5. Then you add an imaginary number.
So it would be 5i?
5si = good
If the probability that a person will die in the next year is 593/100000
What is the probability that the person will not die in the next year?
Answer:
99407/100000
Step-by-step explanation:
100000 - 593 = 99407