Answer:
first term (a) = 54
Second term (b) = 18
common ratio = b/a = 18/54 = 1/3
An error has been made in subtracting the two polynomials shown in the work below the problem is (6x^2-4x-5)-(3x^2-7x=2)
Answer/Step-by-step explanation:
Let's work out the subtraction of the polynomial to find out where the error is and the correct result we should have.
6x² - 4x - 5
- 3x² - 7x + 2
= [6x² - 3x²] [-4x -(-7x)] [-5 -(+2)]
= 3x² + 3x - 7
The error that was made in the subtraction given in the question was that the negative signs before the terms, 7x and 5 were ignored while subtracting.
The sign is very important, it defines the value of the term.
We can choose to solve the problem in another way shown below:
(6x² - 4x - 5) - (3x² - 7x + 2)
Distributive the negative sign in the second polynomial
6x² - 4x - 5 - 3x² + 7x - 2
Combine like terms
6x² - 3x² - 4x + 7x - 5 - 2
3x² + 3x - 7
The hole for a footing needs to be 8 ft deep. If it is currently 1 ft 5 inch deep how much deeper does it need to be dug? Give the answer in inches
You want to get an idea of how much your children will benefit from the education system in a state. Which column of numbers will you use for your analysis? Why?
use the Per-Pupil Expenditure column to compare how much each state spends on average for each student. Total expenditure for the state can be misleading. A state with a high number of students could have a high overall expenditure, even if it doesn't spend very much on each student. I'm more concerned about how much the state is likely to spend on each of my children, not how much they spend overall.
Step-by-step explanation:
Answer:
I'd use the Per-Pupil Expenditure column to compare how much each state spends on average for each student. Total expenditure for the state can be misleading. A state with a high number of students could have a high overall expenditure, even if it doesn't spend very much on each student. I'm more concerned about how much the state is likely to spend on each of my children, not how much they spend overall.
-PLATO
Which of the following quadrilaterals contains opposite angles that are congruent? Select all that apply.
trapezoid
isosceles trapezoid
parallelogram
rhombus
rectangle
square
The quadrilaterals that have opposite angles equal are parallelograms, Rhombus, Rectangle, and Square. The correct options are C, D, E, and F.
What are Quadrilaterals?Quadrilaterals are polygons with four sides, four vertices, and four angles.
The quadrilaterals that have opposite angles equal are parallelograms, Rhombus, Rectangle, and Square.
The opposite sides and opposite angles are equal in a parallelogram.
All sides are equal and opposite angles are equal in a Rhombus.
Opposite sides are parallel and equal, and all angles measure 90 degrees in a Rectangle.
All sides and angles are equal in a square.
Therefore, The correct options are C, D, E, and F.
To know more about Quadrilaterals
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Find the nth term of the sequence:
23, 19, 13, 5, -5.......
Answer:
Step-by-step explanation:
Given the sequence :
23, 19, 13, 5, -5.......
From the sequence, the common difference is unequal, as their is a constant Increment in the difference after successive numbers.
19 - 23 = -4
13 - 19 = -6
5 - 13 = -8
-5 - 5= -10
Hence an constant difference of - 2 after each successive difference.
Hence, this is a quadratic sequence
With the formula
an² + bn + c
If construction costs are $160,000 per kilometer, find the cost of building the new road in the figure
shown to the right
new road
10,000 m
24,000 m
The cost of building the new road is s
(Round to the nearest dollar as needed)
Answer:
$4,160,000
Step-by-step explanation:
First, find the length of the new road in km using Pythagorean Theorem.
According to Pythagorean Theorem:
c² = a² + b²,
Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.
Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.
1 km = 1,000 m
10,000 m = 10 km
24,000 m = 24 km
c² = 24² + 10²
c² = 576 + 100
c² = 676
c = √676
c = 26 km
Lenght of the new road = 26 km
If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000
The cost of building the new road is $4,160,000.
Calculation of the cost of building:here we determine the length by using the Pythagorean Theorem.
So,
[tex]c^2 = a^2 + b^2[/tex]
Here
c is the longest leg
And, a and b are the 2 other legs of the ∆.
Now
1 km = 1,000 m
10,000 m = 10 km
24,000 m = 24 km
So,
[tex]c^2 = 24^2 + 10^2[/tex]
c² = 576 + 100
c² = 676
c = √676
c = 26 km
Now the cost should be
= 160,000(26)
= $4,160,000
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h(x) = x - 2
g(x) = 4x - 3
Find (h. g)(x)
Barbara has 9 stuffed animals. Trish has 3 times as many stuffed animals as Barbara. How many stuffed animals does Trish have?
Answer:
27
Step-by-step explanation:
9 + 9 + 9 = 27
I hope this helps :)
Answer:
trish has 27 because 9 times 3=27 love yall
Step-by-step explanation:
Help I’m stupid and don’t know how to do this
Answer:
y = x/w
Step-by-step explanation:
1) We have to isolate y
2) An easy way to do this is to switch the places of y and w since we are just solving for y
3) Therefore, the answer is y = x/w
Hope this helps!
11(k-1) 7(k-y) help fast ASAP IM STUCK PLESEE ALSO NEED TO SHOW WORK
Answer:
y=-[tex]\frac{4k-11}{7}[/tex]
k=-[tex]\frac{7y}{4}[/tex]+[tex]\frac{11}{4}[/tex]
NEED HELP ASAP (GET GOOD POINTS)
Answer:
3 degrees in 1 hour
Step-by-step explanation:
.75 degrees
-----------------
1/4 hours
Multiply the top and bottom by 4
.75 degrees *4
-----------------
1/4 hours*4
3 degrees
------------------
1 hour
5) Which of the following expressions has
the greatest value?
A-
2-3
B-2-(-3)
C2-(-3)
Combine the like terms to create an equivalent expression:
\large{-k-(-8k)}−k−(−8k)minus, k, minus, left parenthesis, minus, 8, k, right parenthesis
Answer:
7k
Step-by-step explanation:
−k−(−8k) = -k +8k = 7k
A cylinder has a volume of 320x cubic inches and a height of 5 inches.
What is the radius of the cylinder?
Answer: 8 inches
Step-by-step explanation:
320π in³= π (r²) (5 in)
64 in² = r²
r = 8 in
Estima el producto de 767 y 5,751.
(Redondea cada número al valor posicional mayor.)
(No estoy seguro si este es el valor posicional más alto, pero estoy casi seguro). Cuando redondea estos números, obtiene 800 y 6,000. el producto de estos dos números es 4800000. ¡Espero que esto ayude! salud.
Solve the system of equations using the tables below
Answer:
(x, y) = (0, 3)
Step-by-step explanation:
(x, y) = (0, 3) is in both tables. Hence, that point is a solution to the system of equations.
8. A pizza shop charges $7.00 for a cheese pizza and $1.50 per topping. The total charge for Megan's pizza was $11.50. Write and solve on equation to determine how many toppings Megan ordered on her pizza. Variable: Equation: Solution:
Answer:
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
Step-by-step explanation:
Let the number of topping be x.
Cost of 1 topping = $1.50
Cost of x topping = x*Cost of 1 topping = $1.5*x = $1.5x
Cost of cheese pizza = $7.00
Total cost for cheese pizza for x topping = Cost of cheese pizza + Cost of x topping
Total cost for cheese pizza for x topping = 7 + 1.5x
Given that The total charge for Megan's pizza was $11.50
thus,
7 + 1.5x = 11.50
1.5x = 11.50 - 7
1.5x = 4.5
x = 4.5/1.5 = 3
Thus, there were three toppings
______________________________________
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
The governor of state A earns $54,675 more than the governor of state B. If the total of their salaries is $284,695, find the salaries of each.
The governor of state A earns $nothing, and the governor of state B earns $nothing.
Answer:
Government A earns 54 675 US$, Government B earns 230 020 US$
Step-by-step explanation:
Which graphs display a directly proportional relationship? Check all that apply.
Answer:
A, C, and D
Could you please give me Brainliest?
Answer:
answers are a c d
Step-by-step explanation:
look at the lines that' how you find your answer
vhbhbububjbvuvhjuvvbihjbuvi
Answer:
thanks
Step-by-step explanation:
:) hahahahahah
A local traffic light is set so that it cycles between 30 seconds of red and 30 seconds of green. What is the probability of randomly hitting a red light more than 25 times in n = 40 trips through the intersection?
Answer: 0.04
Step-by-step explanation:
Number of trips (n) = 40
Red = 30 seconds, Green = 30 seconds
P(red) = p(green) = 30/ (30+30) = 0.5
P(not red) = p(not green) = 1 - 0.5 = 0.5
P(x) = nCx * p^x * (1-p)^(n-x)
n = number of trials
x = number of outcome desired
P = probability of success of desired outcome
P(X > 25) = P(26) + p(27) + p(28) +.... + p(40)
Hence, to save computation time, we use the binomial distribution probability calculator :
P(X > 25) = 0.04
Why is (-5) to the 28th power positive but without parentheses it is negative?
Answer:= (10+5^2)*((5*-2)+9-3^3)/2
= (10+25)*((5*-2)+9-3^3)/2
= (35)*((5*-2)+9-3^3)/2
= 35*((5*-2)+9-3^3)/2
= 35*((-10)+9-3^3)/2
= 35*(-10+9-3^3)/2
= 35*(-10+9-27)/2
= 35*(-1-27)/2
= 35*(-28)/2
= 35*-28/2
= -980/2
= -490
Step-by-step explanation:
which equation represents a line that passes through (2,-1/2) and has a slope of 3
plzzz help me
Answer:
C
Step-by-step explanation:
The slope-point formula is y-y₁=m(x-x₁). So if you plug in your information you get C.
The point (3,65) lies on the graph representing a proportional relationship. Which of the following points also lie on the same graph?
Answer:
Step-by-step explanation:
ohhh
Answer:
A B and E all fall on the line expressed.
Step-by-step explanation:
Josh works as a tutor for 11$ an hour and a waiter for 15$ an hour. This month he worked 106 hours. What expression solves this?
Answer: -4t + 1590
Step-by-step explanation:
Given : Josh works as a tutor for $11 an hour and as a waiter for $15 an hour.
This month, he worked a combined total of 106 hours at his two jobs.
Let t be the number of hours Josh worked as a tutor this month.
Then, the number of hours Josh worked as a waiter = 106 -t
Then, the total money earned this month ( in dollars)
= 11 (No. of hours worked as a tutor)+ 15 (No. of hours worked as a waiter)
=11(t) + 15(106-t)
= 11t+1590-15t
= -4t+1590
Hence, the expression for the combined total dollar amount he earned this month =
The algebraic expression to this problem is 11x + 15y = 106
What is algebraic expression?Algebraic expressions have variables, numbers, and operations. A variable is a letter that represents an unknown amount.
Let number of hours Josh worked as a tutor be x hour.
Let number of hours Josh worked as a waiter be y hours.
The equation becomes -
11x + 15y = 106
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7900 dollars is placed in an account with an annual interest rate of 5.25%. To the
nearest tenth of a year, how long will it take for the account value to reach 34300
dollars?
Answer:
x=28.7
Step-by-step explanation:
I just answered the question.
Reply back please! Scientific Notation
Answer:
Sorry didnt realize it didnt post
2.) 1.16 x 10^-1
4.) 9.006 x 10^-9
6.) 3.68 x 10^3
8.) 6.92810457 × 10^-3
Step-by-step explanation:
3193.55767741 round to the nearest thousand
Answer:
3000
Step-by-step explanation:
Rounding to the nearest thousand implies not writing any significant figure after the digit located in the column of the thousand. In this case, what you have in that column is the number 3 (which is followed by a 1 in the column of the hundreds) so you need to round the number to 3000.
If the number that followed the 3 was 5 or larger, you would have rounded it to 4000.
Answer:
3,000
Step-by-step explanation:
The answer is 3,000 because:
1) The number in the hundreds place is 1, which is less than 5. Therefore, the number in the thousands place stays the same.
2) Whenever you are rounding with decimals, you have to leave the numbers after the decimal point.
Hope this helps!
(5^3)(5^2)(5^4)(5^7)
Answer choices
625^16
5^168
625^168
5^16
All checked baggage on a particular airline company must not exceed 64 inches or an additional fee is charged.
The size of the baggage is determined by adding length + width + height.
If a bag has a height of 22 inches and a width
that is 16 inches less than the length, what lengths are acceptable for the bag to be checked free of charge?
If the bag is to be checked free of charge. its length must be __ inches or less.