what is 4,357.25 rounded to the second decimal
A:4,400
*20.) When (3x - 2)^2 is subtracted from 4x², the result in simplest form is
Answer:
[tex]- 5 {x}^{2} + 12x - 4[/tex]
Step-by-step explanation:
[tex]4 {x}^{2} - (3x - 2)^{2} \\ \\ = 4 {x}^{2} - [ {(3x)}^{2} - 2(3x)(2) + {(2)}^{2} ]\\ \\ = 4 {x}^{2} - [ 9 {x}^{2} - 12x + 4]\\ \\ = 4 {x}^{2} - 9 {x}^{2} + 12x - 4\\ \\ = - 5 {x}^{2} + 12x - 4[/tex]
Answer:
-5x² + 12x - 4
Step-by-step explanation:
4x² - (3x - 2)²
4x² - (3x - 2) * (3x - 2)
4x² - (9x² - 6x - 6x + 4)
4x² -1 (9x² - 6x - 6x + 4)
(4x² - 9x²) + (6x + 6x) - 4
-5x² + 12x - 4
Hope this helps!
50 Points!!!
(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain.
(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework?
(c) What does the number 40 in Part (b) mean in the context of the situation?
Step-by-step explanation:
(a) How would you characterize the relationship between the hours spent on homework and the test scores? Explain
For this case what we see is that we have a scatter diagram, which we can model using a linear trend defining the following variables:
x: number of hours studied.
y: test scores.
The linear relationship would be of the form:
y = mx + b
(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework?
y = 8x + 40
For three hours of study we have that the note would be approximate:
y = 8 * (3) + 40
y = 64
(c) What does the number 40 in Part (b) mean in the context of the situation?
The number 40 means that if you do not devote any study time, then you expect the test score to be 40.
200 random people were surveyed at an amusement park and asked if they ride roller
coasters and if they play games while at the park. 130 of those surveyed ride roller
coasters. 86 of those surveyed play games. 70 of those surveyed ride roller coasters and
play games. Use the formulas in the text to answer the following questions.
a) What is the probability a person at the amusement park rides roller coasters or plays
games?
b) What is the probability a person at the amusement park does ride roller coasters?
c) Are the events of a person riding roller coasters and playing games mutually exclusive?
Answer:
let the P(ride roller coaster) be A and P(play games) be B
a. P(AUB) = P(A) + P(B) - P(AnB)
= 130/200 + 86/200 - 70/20.
= 146/200
= 73/100
b. P(A) = 130/200
= 13/20
c. not mutually exclusive
A student takes a 10-question, multiple-choice exam with three choices for each question and guesses on each question. Find the probability of guessing exactly 4 out of 10 correctly.
Answer:
unlikely bcz it didn't reach the half of rate (10)
1. The difference between the product of nine and a number and three times the number.
2. The difference between five times a number and four times the number.
Answer:
Question 1:
• Let the number be x
[tex]{ \tt{9x - 3x}} \\ { \boxed{ \tt{ = 6x}}}[/tex]
Question 2:
[tex]{ \tt{5x - 4x}} \\ { \boxed { \tt{ = x}}}[/tex]
The numbers are 6x and x.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
1) Let the number be x.
product of nine and a number means 9x.
three times the number means 3x.
The difference between the product of nine and a number and three times the number means that 9x - 3x.
9x - 3x = 6x
2) Let the number be x.
five times a number is 5x
four times the number is 4x
The difference between five times a number and four times the number is 5x - 4x = x.
Hence the numbers are 6x and x respectively.
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please help mr with this
If Axel can make 6 apple pies, how many people can he give a whole apple pie to
Answer:
6 people
Step-by-step explanation:
6 whole pies for 6 people
Answer:
6
Step-by-step explanation:
If each apple pie is 1 whole and Axel is giving 1 whole pie out to everybody then you take the amount of pies and that's your answer
14- 2.5f = 50
Please help
Answer:
f=-14.4
Step-by-step explanation:
[tex]14- 2.5f = 50\\\\14-50=2.5f\\\\-36=2.5f\\\\f=\frac{-36}{2.5}\\\\f=-14.4[/tex]
Hi!
14-2.5f=50
Move 14 to the right, using the opposite operation:
-2.5f=50-14
-2.5f=36
Divide both sides by -2.5 to isolate f:
f=-14.4
Note: If we divide a negative by a negative, we get a positive.If we divide a positive by a negative, we get a negative.Hope it helps!
Have a Great Day!
~Content Teen
[tex]\bf{-MistySparkles^**^*[/tex]
What single amount on April 1, 2012, is equivalent to a series of equal, semiannual cash flows of $5200 that starts with a cash flow on January 1, 2010, and ends with a cash flow on January 1, 2019? The interest rate is 6% and compounding is quarterly?
The single amount on April 1, 2012 that is equivalent to a series of equal, semiannual cash flows of $5200 is; $57,023.2
Compound Interest FactorWe are given;
Semi annual cash Flow; A_sa = $5200
Interest rate; r = 6%
From April 1, 2012 to January 1 2019 is 6.75 years
Thus; Period; T = 6.75 years
Cash flows is semi annual. Thus; t_a = 1/2
Thus; n_sa = 6.75 * 2
n_sa = 13.5
i_sa = 6% * 1/4 = 1.5%
Thus;
Single amount = 5200 * (P/A, 1.5%, 13.5)
From compound interest tables, P/A at n = 13.5 and at i = 3% by interpolation gives 10.966. Thus;
Single amount = 5200 * 12.137
Single amount = $63,112.4
Read more about compound interest factor at; https://brainly.com/question/3575751
A plane took off at 11:55 and arrived 2 hours 40 minutes later. What time did it arrive?
Jerry walked a dog from 6:40 a.m. to 7:30 a.m. one day. If he was paid at the rate of $6 per hour, how much did he earn that day?
Answer:
$5
Step-by-step explanation:
6:40 to 7:30 is 50 minutes
6 per hour
6÷6=1
1x5=5
hope this helps
Which of the following represents a function
Answer:
All of the examples define relations between a domain and range.
Such a relation will be a function if and only if each value in the domain corresponds to at most one value in the range.
In the first example, the value
−
1
in the domain is associated with two values in the range, namely
−
5
and
1
.
In the second example, the value
−
1
in the domain is associated with two values in the range, namely
7
and
1
.
In the third example, the value
3
in the domain is associated with two values in the range, namely
2
and
4
.
In the fourth example, each of the values in the domain is associated with one value in the range, so this describes a function. Note however that the values
−
4
and
−
7
are both mapped to
5
. So the function described is not one to one and consequently its inverse is not a function.
For what values of x is the expression below defined?
O A. x = 0
O B. x > 0
O c. x< 0
O D. x< 1
Answer:
x>0
Step-by-step explanation:
i took the quiz :))
Choose Always, Sometimes, or Never for each statement
Answer:
a)never b)always c)never d)sometimes.
Step-by-step explanation:
I’ll try to explain by giving examples for each:
a) let’s take n=-1 => 2*1/10= 2/10 =0,2 = > the number won’t be negative => answer:never.
b)let’s take q=-2 => (-2)*100000=-200000 => answer:always.
c)let’s take m=-2 => 6*1/100 = 6/100 =0,06; and 60^-2 = 1/60^2=1/360=0.02... => answer:never.
d)let’s take 1) p=1000; => 1000/1000=1. 2) p= 2 => less than 1. => answer:sometimes.
Kevin spins a spinner like the one shown and flips a coin. The probability of landing on purple and heads is 1/8. How many sections of the spinner should be colored purple?
===============================================
Explanation:
Let x be the number of purple sections.
x/8 represents the probability of landing on purple since we have 8 equal sections total of this pizza.
Multiply this with the probability of landing on heads (1/2)
(1/2)*(x/8) = x/16
x/16 is the probability of getting a purple section and having the coin land on heads.
Set that equal to the 1/8 mentioned in the instructions and solve for x.
x/16 = 1/8
8x = 16
x = 16/8
x = 2
Or you can solve like this
x/16 = 1/8
x/16 = 2/16
x = 2
Kevin needs to shade 2 of the sections purple.
Side note: It's a bit unfortunate that the entire paper is purple overall. Though I'm probably being a bit nitpicky right now.
If one yard of material cost 2.00 how much do 5 1/2 yards cost?
Answer:
$11
Step-by-step explanation:
5*2=10 (for 5 yards) plus 1.00 for the 1/2 yard
Answer:
$ 11.00 or 11
Step-by-step explanation:
2.00 X 5 1/2 = 11
You would multiply the cost of $ 2.00 (one yard) with the total yard 5 1/2 and get 11 or $11
So your answer is for a total of 5 1/2 yards it would cost $11.
[tex] \: [/tex]
Find the roots of the equation x2 – 3x – m (m + 3) = 0, where m is a constant.
[tex] \: [/tex]
Answer:-m or m+3
Step-by-step explanation:
[tex]x^{2} -3x -(m^{2}+3m) =0\\\\x^{2} -3x -m^{2} -3m=0\\[/tex]
[tex]x^{2} -m^{2} -3x - 3m=0[/tex]
Applying difference of two squares
⇒([tex]x^{2} -m^{2}[/tex])=(x+m)(x-m)
Substituting this for ([tex]x^{2} -m^{2}[/tex])
Factorising -3x-3m=-3(x+m)
(x+m)(x-m)-3(x+m)=0
since we have double (x+m),we'll pick one
⇒(x+m)=0
or (x-m-3)=0
⇒x=-m or x= m+3
Analyze the diagram below and complete the instructions that follow.
Answer:
d
Step-by-step explanation:
tan 60 = x/9. the vertical line bisects the base
x = 9√3
sin60 = x/y
√3/2 = 9√3/y
y = 18
Solve the following recurrence relation:
=−1 +; 1 =0.
Answer:
Step-by-step explanation:
what is the value if y when x=125
Which of the following functions has an inverse THAT IS NOT a function?
Answer:
your choice is correct
Step-by-step explanation:
f(x) = x^2 does not pass the horizontal line test (a horizontal line intersects its graph in two places), so its inverse does not pass the vertical line test. The inverse is not a function.
_____
Comment on the graph
The original function f(x)=x^2 is shown by the red curve. Its reflection across the orange dashed line y=x gives the inverse relation, in blue. The black horizontal and vertical lines show the multiple points of intersection with the curves, indicating the inverse relation is not a function.
Step-by-step explanation: hope this helps a little bit
A student completes 2/5 of a science project in 3/4 hour. At this rate what fraction of the project can the student complete per hour?
[tex]\begin{array}{ccll} completion&hours\\ \cline{1-2} \frac{2}{5}&\frac{3}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{2}{5}~~}{x}=\cfrac{~~ \frac{3}{4}~~}{1}\implies \cfrac{2}{5x}=\cfrac{3}{4} \\\\\\ 8=15x\implies \cfrac{8}{15}=x[/tex]
The fraction of the project that the student can complete per hour is 8/15
What is unit rate?There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.
For this case the problem is asking about the amount of project that can be completed per hour.
The independent quantity is the time spent by student on the project.
The dependent quantity here is the amount of the project completed by the student in the time spent.
Thus, we get the unit rate of amount of project completed per unit amount of time (unit time is one hour here) as:
[tex]R = \dfrac{\text{Amount of project completed}}{\text{Time taken}} = \dfrac{2/5}{3/4} = \dfrac{2}{5} \times \dfrac{4}{3} = \dfrac{8}{15} \: \rm project / hour[/tex]
We used the fact that:
[tex]\dfrac{a}{b} = a \times \dfrac{1}{b}\\\\and\\\dfrac{1}{a/b} = \dfrac{b}{a}[/tex]
Thus, that student can complete the considered project's 8/15 part per hour.
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What is a necessary step for constructing parallel lines?
Draw a line that intersects the first line using a straightedge.
Draw a ray that intersects the first line at a right angle using a straightedge.
Draw arcs on either side of a given point on the line.
Draw arcs on either side of a given point off the line.
The necessary step for constructing parallel lines is to draw a line that intersects the first line using a straightedge.
What are parallel lines?Two lines are said to be parallel in a plane if they do not intersect each other even if extended till infinite in both the directions.
Steps to construct a parallel line using ruler and compass are:
Draw a line segment AB and mark any point P above the line ABDraw a line that intersects the first line using a straightedge and mark it as Point X. Now we get a line AB and a transverse PX.Open a compass more than half of the distance between PX. Using this, place the compass on Point X and scribe an arc MN on the transverse PX. Similarly, using the same distance, scribe an arc by keeping the compass on Point P and mark it as EF. The point where EF cuts PX is Q. Using this Q as a center, draw an arc marked R on EF.Join this R and P and extend the line segment and mark is as C and D.The resultant image is given below.To learn more about parallel lines, refer:
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A piece of wood for a sign is shaped like a parallelogram with a base length of 14 inches and a height of 9 inches. A small tube of paint will cover 24 square inches. How many tubes of paint will be needed to paint the sign? Enter your answer in the box.
Answer:
The answer is 6
Step-by-step explanation:
I got if from k12 after taking the test!
Answer:
6 tubes
Step-by-step explanation:
a cassette tape makes 1980
revolutions in 1 hour .how many revolutions does it make per minute
Answer:
33
Step-by-step explanation:
There's 60 minutes in an hour
Divide the revolutions in 1 hour (1980) by 60
and that equals 33
What's the solution set of -5 < 2x - 1 < 3?
Answer:
The answer to your question is...the first option; Infinitely many solutions
Hope this helped!
Answer:
Option 2: –2 < x < 2
Step-by-step explanation:
I'm at the same school as you and I got it correct on the self check
Write the slope-intercept form of the equation of the line that is parallel to AB and passes through Point X. Show all
work for full credit.
10
х
(-5, 10)
А
8
(-10, 8)
6
6
(2, 3)
2 B
-10
-8
6
-4
2
2
2
4
6
8
10
2
cy
4
6
8
8
-10
find y=mx+b for line parallel to AB.
The line that is parallel will have the same slope as line AB:
the slope of line AB is
m=(8-3)/(-10-2)
=5/-12
=-5/12
Since the line going through X is parallel the vertical distance of the new line to AB is the same for all values of the domain(x-axis).
at x=-5 the point X has the y value of 10 which is 4 more than the y value for AB based on the graph.
To find the intercept b of the line going through X that is parallel to AB we just add 4 to the intercept of AB, which is 4 so
4+4=8
Solve for elimination
1.−2x−5y=−19
2.3x+2y=−10
Need help really bad please and thank you!
Answer:
Step-by-step explanation:
The side opposite the given width of x is also x.
So you have to relate 3 facts.
The angle
The adjacent side
The hypotenuse.
Formula
Cos(28) = x / 35
Solution
Cos(28) = x / 35 Multiply both sides by 35
35 cos(28) = 35 * x / 35 Cancel
35 cos(28) = x Multiply
30.90 = x
Rounded, it is 30.9
Answer:30.9 cm
Step-by-step explanation: =X/35
X= 35 cos 28'
X= 30. 90cm
width 06
Rectangle = 30.9cm
if you had 18 boxes and had to shade 1/6 of the shape how much would you shade?
Answer:
3
Step-by-step explanation: First find out 1/6 of 18 which is 3 so that's your answer