Answer:
±94
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Solving Quadratic EquationsConsecutive IntegersStep-by-step explanation:
Step 1: Define
x (1st consecutive term)
x + 2 (2nd consecutive term)
Step 2: Set up equation
x(x + 2) = 2208
Step 3: Solve for x
Distribute x: x² + 2x = 2208Rewrite in Standard Form: x² + 2x - 2208 = 0Factor quadratic: (x - 46)(x + 48) = 0Find roots: x = -48, 46Step 4: Identify Consecutive Integers
Possibility 1: x = -48
1st Consecutive Even Term: -48
2nd Consecutive Even Term: -48 + 2 = -46
Possibility 2: x = 46
1st Consecutive Even Term: 46
2nd Consecutive Even Term: 46 + 2 = 48
Step 5: Find sums
Possibility 1: x = -48
-48 + -46 = -94
Possibility 2: x = 46
46 + 48 = 94
What is the greatest possible error if Irina measured the weight of her dog as 13 pounds?
Answer:
0.5
Step-by-step explanation:
Given that:
Irina measured the weight of her dog to be 13 pounds.
The greatest possible error that could have to occur will be the maximum error.
Let assume that the 13th value obtained was rounded between the range of 12.5 → 13.49 to 13 pounds
Then;
The greatest possible error that could have to occur = 13.0 - 12.5 pounds
The greatest possible error that could have to occur = 0.5 pounds
Answer:
0.5
Step-by-step explanation:
EDGE 2020 Unit Test
Answer this question and I will give you brainliest and help on anything
Answer:
The answer is 27
Step-by-step explanation:
You count how many lines it takes up and add them together
If f(x)= -3x+4 and g(x)=2, solve for the value of x for which f(x)=g(x) is true
Answer:
If i did this right the answer would be f(2)=g(2)
both numbers are 2 and the numbers are (x) so x=2
Step-by-step explanation:
Hope this helps Kas <33
Jordan was asked to convert 345,000,000 to scientific notation. His response was 34.5 x 10^7. His teacher told him he was incorrect. Explain Jordan’s mistake and determine the correct answer
Answer:
345,000,000 =3.45 x 10^8
Step-by-step explanation:
To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. This is Jordan mistake, 34.5 is greater than 10. Which is incorrect!
explanation:
you have 345,000,000
Keep moving the dot till you have 3.45
Then count how many spaces you've moved
To get to 3.45, it took you 8 moves so you would have 3.45*10^8 as your answer
A recipe used 2/3 cup of sugar for every 2 teaspons of vanilla. How much sugar was used per teaspoon of vanilla?
Answer:
1/3 cups of vanilla per teaspoon
Step-by-step explanation:
factor polynomial 4x^2+4x+1
Answer:
(2x+1)^2
Step-by-step explanation:
Which of the following numbers is not a prime number?
A) 13
B) 17
C) 18
D) 19
E) 23
I need serious help please!
Equation of a line: given that m equals 5 and P(2,3), find the y-intercept (b), and write the equation of the line in slope intercept form
Equation of a line: given that m equals -2 and P(-4,5), find the y-intercept (b), and right equation of the line and slope intercept form
Giving P(3, -5) and Q(6,3). Find the slope of the line passing through the two points
Answer:
1. y-intercept = -7
equation: y = 5x - 7
2. y-intercept = -3
equation: y = -2x - 3
3. slope = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
slope-intercept form: y = mx + b
slope formula: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
To write an equation in slope-intercept form, you need to know the slope(m) and the y-intercept(b).
1. Given: m = 5, P(2, 3). To find the y-intercept, input the given values of m and the point into the equation format and solve for b:
y = mx + b
3 = 5(2) + b
3 = 10 + b
-7 = b
The y-intercept is -7.
Now that we know the slope and the y-intercept, we can write the equation:
y = 5x - 7
2. Given: m = -2, P(-4, 5). To find the y-intercept, input the given values of m and the point into the equation and solve for b:
y = mx + b
5 = -2(-4) + b
5 = 8 + b
-3 = b
The y-intercept is -3.
Now that we know the slope and the y-intercept, we can write the equation:
y = -2x - 3
3. Given: P(3, -5), Q(6, 3). To find the slope, input the given points into the slope formula:
(3, -5) = (x1, y1)
(6, 3) = (x2, y2)
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{3-(-5)}{6-3}[/tex]
Simplify:
3 - (-5) = 3 + 5 = 8
6 - 3 = 3
[tex]\frac{8}{3}[/tex]
The slope of the line passing through points P and Q is [tex]\frac{8}{3}[/tex].
I hope this helps. :)
What is the value of r2s for r=10 and s=2?
Hey there!
10(2)(2) 10(2) = 2020(2) = 40Thus, your answer is: 40Good luck on your assignment and enjoy your day!
~LoveYourselfFirst
These two polygons are similar
y = [?]
Answer:
w = 9
x = 12
y = 5
z = 3
Step-by-step explanation:
The corresponding sides of similar polygons are proportional.
Therefore:
[tex] \frac{w}{3} = \frac{x}{4} = \frac{15}{y} = \frac{9}{z} = \frac{6}{2} [/tex]
Solve for each variable as follows:
✔️[tex] \frac{w}{3} = \frac{6}{2} [/tex]
Multiply both sides by 3
[tex] w = \frac{6}{2} \times 3 [/tex]
[tex] w = 3 \times 3 [/tex]
[tex] w = 9 [/tex]
✔️[tex] \frac{x}{4} = \frac{6}{2} [/tex]
Multiply both sides by 4
[tex] x = \frac{6}{2} \times 4 [/tex]
[tex] x = 3 \times 4 [/tex]
[tex] x = 12 [/tex]
✔️[tex] \frac{15}{y} = \frac{6}{2} [/tex]
Cross multiply
[tex] y \times 6 = 2 \times 15 [/tex]
[tex] 6y = 30 [/tex]
Divide both sides by 6
[tex] y = 5 [/tex]
✔️[tex] \frac{9}{z} = \frac{6}{2} [/tex]
Cross multiply
[tex] z \times 6 = 2 \times 9 [/tex]
[tex] 6z = 18 [/tex]
Divide both sides by 6
[tex] z = 3 [/tex]
Evaluate the following expression. Express your answer in simplest form.
3
16
+
5
18
1
2
5
16
10
32
Answer:
518125161348
Step-by-step explanation:
316
518125161032
-------------------------
518125161348
what is 206 divided :) 6
Answer:
if you mean 206 divided by 6 than the answer will 34.3 (rounded)
Step-by-step explanation:
I used a calculator
Greg has 245 cows on his farm. In the mornings, he gives them a total of 5,752 pounds of hay. If each cow eats the same amount, how much hay does each cow eat? A. 26 pounds B. 245 pounds 5,752 C. 117 23— pounds 245 D. 5,507 pounds
Answer:
I would say A because the real answer is 23.477
Step-by-step explanation:
please help and I will mark big brain
Help! Thank you in advance!
Answer:
option 3
both (3, 2) and (2, -1) are solutions
Answer:
C
Step-by-step explanation:
-3x + y = -7
use (3, 2) as plug ins for x and y
-3x + y = -7 (rewrite)
-3 x 3 + 2 = -7 (solve)
-3 x 3 = -9
-9 + 2 = -7
same with the other numbers (2, -1)
but i'm lazy
Grace drew a triangle with sides of equal length. Its measured with sides of 3 cm. What is the perimeter of the triangle?
Answer:
9 cm explained to
Step-by-step explanation:
explained that
what fraction is equivalent to 0.56
Answer:56/100
Step-by-step explanation:
The fraction equivalent to decimal number 0.56 is, 14/25
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
The decimal number 0.56
The equivalent fraction number = ?
For converting it into fraction,
We have to multiply and divide given number by 100
Now,
⇒ 0.56 x(100/100)
⇒ 56/100
Further, it can be solved
⇒ 28/50
⇒ 14/25
Thus, the equivalent fraction is 14/25
To know more about Fraction check:
https://brainly.com/question/8482939
#SPJ1
find the sum of the series -10-5-0+......+75
Of the last 18 trains to arrive at Kensington Station, 12 were on time. What is the experimental probability that the next train to arrive will be on time?
Answer:
6 were late taht is a step to help you
Step-by-step explanation:
A company has 3835 employees. Each employee is to be given an ID number that consists of one capital letter followed by 1 digits.
How many different ID numbers are possible?
Answer:
7670
Step-by-step explanation:
Suppose you want to save in order to purchase a new boat. Take the APR to be 6.0%.
You want to have $15,000 toward the purchase of a boat in three years. How much do you need to deposit each month? (Round your answer to the nearest cent.)
Answer:
Amount deposit each month = $365.26
Step-by-step explanation:
Given:
Amount deposit = $15,000
Rate = 6% = 6% / 12 = 0.005
Number of time = 3 x 12 = 36
Find:
Amount deposit each month
Computation:
Amount deposit each month = [(15,000) x 0.005]/[(1.005){(1.005)³⁶-1}]
Amount deposit each month = $365.26
The amount needed to be deposited each month is;
P ≈ $393.23
We are given;
APR = 6% = 0.06
Total accumulated amount; A = $15000
number of years; n = 3 years
To calculate the amount needed to be deposited each month, we will use the formula;
A = [P(1 + APR/12)¹²ⁿ - 1)] ÷ (APR/12)
Plugging in the relevant values gives;
15000 = [P(1 + (0.06/12))⁽¹²*³⁾ - 1] ÷ (0.06/12)
Rearrange to get;
[P(1 + (0.06/12))³⁶ - 1] = 15000 × 0.06/12
⇒ [P(1 + 0.005)³⁶ - 1] = 75
⇒ P(0.19073) = 75
⇒ P = 75/0.19073
⇒ P ≈ $393.23
Read more at; https://brainly.com/question/12571149
Enter an equation in standard form for the line.
Slope is -5, and (-6, -10) is on the line.
Which of the following is the mean of the sampling distribution
Simplify: (4/3q)^4. You may assume that any variables are nonzero.
Answer:
[tex]\frac{256}{81q^{4} }[/tex]
Step-by-step explanation:
Find the exact value of tan^-1(1)
A. Pi/4
B. 7pi/4
C. 5pi/4
D. 3pi/4
12
A study was done to investigate the population of bald eagle breeding pairs over time. The correlating regression model is shown
below where x represents the number of years after 1986, and y represents the number of bald eagle breeding pairs. Interpret the y-
intercept
y=1.772-334
A. There were approacimately 334 eagle breeding pairs in 1986.
B. There were approximately 1.772 eagle breeding pairs in 1986.
c. There were approximately 1.772 additional eagle breeding pairs each year after 1986.
D. There were approximately 334 additional eagle breeding pairs each year after 1986
Complete question :
A study was done to investigate the population of bald eagle breeding pairs over time. The correlating regression model is shown
below, wiere x represents the number of years after 1986, and y represents the number of bald eagle breeding pairs. Interpret the y-
intercept
y = 1.772 +334x
Answer:
B. There were approximately 1.772 eagle breeding pairs in 1986
Step-by-step explanation:
Given the regression equation : y = 1.772 +334x
Recall the general form of a linear regression equation :
y = mx + c
y = predicted variable ; x = predictor Variable ; c = intercept ; m = slope
x = number of years after 1986 ; y = number of bald eagle pairs.
The intercept is a constant value at time t = 0
For x to be 0, on a graph, this this the value on the y axis where the regression line crosses the y - axis. That is in 1986; the number of y when in 1986 when x = 0 is 1.772
David's Parents have a sandwich shop. They sell sandwiches for $5 each and
bottles of water for $1 each. The owners, David's Parents, need to earn a total of
$100 by the end of the day.
a) Write a linear equation that describes the problem
b) What are the slope and the y-intercept and what do they represent?
c) Graph the linear equation the shop's revenue. Make sure to label both axes with
appropriate titles.
d) Then use the graph to determine how many sandwiches the shop must sell if no
waters are sold.
Answer:
d is answer have a great day
A square patio has an area of 182 square feet. How long is each side of the patio to the nearest tenth?
Answer:
13.5 feet
Step-by-step explanation:
Square root of 182 = 13.49
How many yards long is a piece of fabric witha width of 5/8 yrd nd a area of 2 3/4 square yards?
Answer:
D. [tex] 4\frac{2}{5} [/tex]
Step-by-step explanation:
Area of fabrics = 2¾ square yards
Width of fabrics = ⅝ yard
Length of fabrics = x
Area = length * width
Therefore:
2¾ = ⅝*x
Change the mixed fraction to improper fraction
[tex] \frac{11}{4} = \frac{5x}{8} [/tex]
Cross multiply
[tex] 4*5x = 11*8 [/tex]
[tex] 20x = 88 [/tex]
Divide both sides by 20
[tex] \frac{20x}{20} = \frac{88}{20} [/tex]
[tex] x = \frac{22}{5} [/tex]
[tex] x = 4\frac{2}{5} [/tex]
[tex] length = 4\frac{2}{5} [/tex]
Help plzzzz I give extra points!
Answer: D
Step-by-step explanation:
3x-4 = -22
3x = -18
x= -6
Answer:
X = -6
Step-by-step explanation:
3x - 4 = -22
3x = -22 + 4
3x = -18
x = -18/3
x= -6