Solve quadratic equation using FACTORING
Answer:
x=16 or x=2
Step-by-step explanation:
[tex]x^{2}[/tex]=18x-32
-[tex]x^{2}[/tex] -[tex]x^{2}[/tex]
[tex]x^{2}[/tex]-(18x-32)=0
[tex]x^{2}[/tex]-18x+32=0
Factorize
x 2
x 16
(x-16)(x-2)
x-16=0
+16 +16
x=16
or
x-2=0
+2 +2
x=2
(100 POINTS) Please help I'll give brainliest!
Image attached.
#1
Area of base=1/2(2.8)(4.2)
2.8(2.1)5.88in²Volume:
Area of base×Height5.88(7)41.16in³#2
Area of base
6×1/2(7)(6.1)3(7)(6.1)128.1cm²Volume:-
128.1(14)1793.4cm³Answer:
Volume of a prism = area of base × height
⇒ V = Bh
Question 7
The base of this prism is the triangle.
Area of a triangle = 0.5 × base × height
Given:
base of triangle = 4.2 mheight of triangle = 2.8 mheight of prism = 7 mTherefore:
[tex]\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 4.2} \cdot \boxed{\sf 2.8}) \cdot 7\\ & = \sf \boxed{\sf 41.16}\:m^3\end{aligned}[/tex]
Question 8
The base of this prism is a regular hexagon.
Area of a hexagon = 0.5 × apothem × perimeter
Given:
apothem of base = 6.1 cmside length of base = 7 cmnumber of sides of base = 6height of prism = 14 cmTherefore:
[tex]\begin{aligned}\sf V & = \sf Bh\\ & = \sf (0.5 \cdot \boxed{\sf 6.1} \cdot 7 \cdot 6) \cdot \boxed{\sf 14}\\ & = \sf 128.1 \cdot \boxed{\sf 14}\\ & = \sf \boxed{\sf1793.4}\:cm^3\end{aligned}[/tex]
Our badminton team has finished $75\%$ of its season, during which we won $40\%$ of the games we played. What percent of the remainder of our games must we win in order to finish the season with the same number of wins as losses
Answer:
80%
Step-by-step explanation:
We can generalize from a specific example.
Let's assume that the season is 100 games long.
We have played 75% of the season, which is 75 games
We have won 40% of the games that we have played, so we have won 40% of 75 games, which is 30 games.
So, we must have lost 45 games.
To finish the season with as many wins as losses, of the 25 games we have left to play, we will have to win 20 games and lose 5.
To win 20 out of the last 25 games will be 20/25 = 0.80 = 80%
Eric has scores of 74, 84, and 83 on his history tests. Use an inequality to find the scores he can make on his final exam to receive a B in the class. The final exar counts as two tests, and a B is received if the final course average is greater than or equal to 80 A Eric must score at least a on his final exam to receive a B in the class (Round to the nearest tenth as needed.) please help and show steps on how to do it!! I want to learn how to do it!!
Answer:
yes, eric must score at least a mid A which is about 90%. Pretty simple...
How do you write 0.66 as a percentage
To find the percentage, we must move the decimal place to the right two times. After doing this, 0.66 written as a percentage is 66%.
Answer:
66%
Step-by-step explanation:
All you do is put the decimal places two please to the right or do the number times 100. .66 times 100= 66%
A wheel makes 13 revolutions to cover a distance of 65 m. Find the radius of the wheel.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Circumference of the wheel is :
[tex]\qquad \tt \dashrightarrow \:c = 2 \pi r[/tex]
c = circumference r = radiusNumber of revolutions = 13, and distance travelled is 65 m.
So, we can infer that :
[tex]\qquad \tt \dashrightarrow \:c = \frac{distance \: covered}{number \: of \: revolutions} [/tex]
Now, equate both the equations ~
[tex]\qquad \tt \dashrightarrow \:2 \pi r = \frac{distance \: covered}{number \: of \: revolutions} [/tex]
[tex]\qquad \tt \dashrightarrow \:2 \pi r = \frac{65}{13} [/tex]
[tex]\qquad \tt \dashrightarrow \:2 \pi r = 5[/tex]
[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{2 \pi} [/tex]
[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{3.14 \times 2} [/tex]
[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{6.28} [/tex]
[tex]\qquad \tt \dashrightarrow \:r \approx0.8 \: m[/tex]
[tex]\qquad \tt \dashrightarrow \:r \approx80 \: cm[/tex]
radius of wheel is 80 cm[ To the hundredth place : 0.796 m ]
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B:2
Step-by-step explanation:
3x2/3=3/1x2/3=6/3=2
Anna works as a painter. She charges S130 for paint supplies and $25 for each hour, h, she
works. Which expression represents the total amount of money Anna charges?
Answer:
$25(h) + $130
Step-by-step explanation:
Answer:
[tex] \sf 130 + 25h = TA [/tex]
[tex]Solving Steps : - [/tex]
Question :-Anna works as a painter. She charges S130 for paint supplies and $25 for each hour, h, she works. Which expression represents the total amount of money Anna charges?
Given :- To find the expression represents the total amount of money Anna charges?
SolutionShe earns $ \sf 130 \:for\: paint\: supplies\: and\: $25 per hour
Therefore, will add $130 to $25 and add a variable letter 'h'
⇒ $130 + $25(h)
⇒ $130 + $25h = TA
TA being Total amountExpression = [tex] 130 + 25h = TA [/tex]
~Done~
Have a wonderful and fruitfull day :-)
Determine the central and radius of the circle of equation given below
x2+y2-4x+6y-12=0
Answer:
centre = (2, - 3 ) and radius = 5
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 4x + 6y - 12 = 0 ( add 12 to both sides )
x² + y² - 4x + 6y = 12 ( collect x/ y terms )
x² + 4x + y² + 6y = 12
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(-2)x + 4 + y² + 2(3)y + 9 = 12 + 4 + 9
(x - 2)² + (y + 3)² = 25 ← in standard form
with (h, k ) = ( 2, - 3 ) and r = [tex]\sqrt{25}[/tex] = 5
Answer:
center of the circle = (2, -3)
radius of the circle = 5
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius)
Given equation:
[tex]x^2+y^2-4x+6y-12=0[/tex]
Collect like terms:
[tex]\implies x^2-4x+y^2+6y-12=0[/tex]
Add 12 to both sides:
[tex]\implies x^2-4x+y^2+6y=12[/tex]
Complete the square for both variables.
Add 4 to both sides for x. Add 9 to both sides for y.
[tex]\implies x^2-4x+4+y^2+6y+9=12+4+9[/tex]
[tex]\implies (x^2-4x+4)+(y^2+6y+9)=12+4+9[/tex]
Factor the two variables:
[tex]\implies (x-2)^2+(y+3)^2=25[/tex]
Therefore:
center of the circle = (2, -3)radius of the circle = √25 = 5HELPP worth 95 points Use the Internet to identify a major league ballpark in which the distance from home plate to the center field fence and the height of the center field fence require that a ball hit 2 ft above the ground will necessitate an angle of elevation less than to just clear the center field
so Ive come to decide to pick the Yankees ballpark however the feet from the center field to home plate is 408 ft
through i don't understand what way do they want me to solve this, it was said to use the tangent ratio and inverse.
please help I'm struggling ):
Answer: try the US cellar field
Home plate is 400ft
Field fence height is 8ft
Angel of elevation is 0.85
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). 112 degrees
a. 0. 98 units
c. 0. 62 units clockwise
b. 0. 62 units
d. 1. 95 units clockwise
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). 57 degrees
a. 0. 99 units
c. 57 units
b. 1. 99 units
d. 0. 50 units
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). -133 degrees
a. 1. 16 units
c. 0. 74 units clockwise
b. 2. 32 units clockwise
d. 0. 74 units
Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth. 215 degrees
a. (-0. 82, 0)
c. (-0. 82, -0. 57)
b. (-0. 57, -0. 82)
d. (1, -0. 57)
Answer:
1. 112 degrees = d 1.95 units clockwise
2.57 degrees = a 0.99 units
3. -133 degrees = b 2.32 units clockwise
4. 215 degrees = c (-0.82, -0.57)
Step-by-step explanation: I guessed on most of them by just looking at the unit circle and proof of their accurracy: just finished the edge practice.
mr richey bought 20 organizer books and 20 staplers for students. each stapler costs 3$. mr richey spent in total of 200$ for the organizer books and staplers. what is the cost, in dollars of 1$ organizer book
Answer: $7
Step-by-step explanation: if a stapler cost $3, then 20staplers will cost $60
Amount left will be $200-60=$140
Cost of one organiser will be $140/20
That will be $7
...............................
Answer:
804.2
Step-by-step explanation:
Formula
[tex]\pi r^{2}[/tex]
plug in
[tex]\pi *16^{2}[/tex]
≈ 804.24772
round to nearest tenth
≈ 804.2
Martin collected data from students about whether they played a musical instrument. The table shows his
results.
Instrument
No Instrument TOTAL
Boys
32
60
92
Girls
38
68
TOTAL
70
90
160
Of the students surveyed, how many played an instrument?
The number of students surveyed who played an instrument is
Answer: 90 students
Step-by-step explanation:
I got this question on my test, and the answer was 90
100% verified! :D
What would be the correlation coefficient (r) of the following scatter plot?
Look at the picture down below to answer the question
options:
-.15
.92
-.89
.45
Answer:
-0.89 (i think)
Step-by-step explanation:
Since the graph seems to be going downwards from the right, it has a negative correlation. And since the data seems to be pretty close together, the correlation must be strong. That narrows the answer down to -0.89
If its wrong then i'm not a smart person, and it's -0.15
You borrow $300 at a simple interest rate of 4% per year. You make no payments for two years. How much do you owe after two years
Answer:
17
Step-by-step explanation:
I took the test
I’ve tried imputing the numbers but apparently I’m doing wrong so help please
Answer:
CB = sqrt (4a^2 + 6b^2)
Step-by-step explanation:
Using distance formula
d^2 = ( x1-x2)^2 + (y1-y2)^2
d^2 = (3a - -a)^2 + (b - -5b )^2
d^2 = (4a)^2 + (6b)^2
Answer: [tex]CB = \sqrt{16a^2 + 36b^2}\\\\[/tex]
Work Shown:
[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\CB = \sqrt{(3a-(-a))^2 + (b-(-5b))^2}\\\\CB = \sqrt{(3a+a)^2 + (b+5b)^2}\\\\CB = \sqrt{(4a)^2 + (6b)^2}\\\\CB = \sqrt{16a^2 + 36b^2}\\\\[/tex]
If that doesn't work, then your teacher may only want the stuff in the green box. So that would be either b-(-5b), or b+5b, or 6b
Find the surface area. Round to the nearest tenth, as necessary.
I need helpppp ASAP Please
Answer:
D
Step-by-step explanation:
6(6.4)^2
=245.76
245.76 rounded = 245.8
Answer:
Option D, [tex]245.8\ units^2[/tex]
Step-by-step explanation:
Step 1: Determine the area
[tex]A = l * w[/tex]
[tex]A = 6.4\ units * 6.4\ units[/tex]
[tex]A = 40.96\ units^2[/tex]
Step 2: Determine the surface area
We know that we have 6 sides of equal area that means that we can just use [tex]6 * 40.96\ units^2[/tex] which gives us [tex]245.76\ units^2[/tex].
Answer: Option D, [tex]245.8\ units^2[/tex]
Please help!! Will mark brainlyest.
15) Tom has $640 saved up for a vacation. He has 8 weeks before he leaves. The cost of the
trip is $1,200. What should he be saving each week that would give him at least the minimum
amount for his trip?
Answer:
he should save $70 each week
Step-by-step explanation:
1200 - 640 = 560
560/8 = 70
The exchange rate is 1. 65 Bosnian markas per U. S. Dollar. The price of a refrigerator in Bosnia is 1964 markas while in the U. S. It is $1357. The real exchange rate is approximately
We will see that the real exchange rate is approximately 1.447 markas per U.S. dollar.
What is the real exchange rate?Here we need to perform a change of units procedure.
We know that the price of a refrigerator in Bosnia is 1964 markas, while in the US is $1357.
Then we can write the relation:
1964 markas = $1357
Now, we want to find the value in markas for a single dollar, then we divide both sides by 1357 to get:
(1964 markas)/1357 = $1357/1357
1.447 markas = $1
This means that the exchange rate is 1.447 markas per U.S. dollar.
If you want to learn more about changes of units, you can read:
https://brainly.com/question/9032119
Solve 4+3(x-2)=2x-4.
Answer:
x=-2
Step-by-step explanation:
isolate the variable and the numbers
Answer:
-2
Step-by-step explanation:
4+3(x-2)=2x-4
distibute 3 to (x-2)
4+3x-6=2x-4
simplify
3x-2=2x-4
add -4 (becomes +4) to -2
3x+2=2x
subtract 3x
2=-x
divide the negative
-2=x
whats the mode of 1,1,2,2,4,4,4
Answer: 4
Step-by-step explanation: Mode is highest occurring number
Look at the image below.
Find the area of the parallelogram.
Answer:
35
Step-by-step explanation:
i got it on khan
Answer: 18
Step-by-step explanation: I got it on the Khan test don't trust the first one. ,,ԾㅂԾ,,
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
Answer:
x² + 8x + 7
Step-by-step explanation:
A = bh
B = x + 7
H = x + 1
A = (x+7)(x+1)
= x² + x + 7x + 7
= x² + 8x + 7
If a=2, b=-3, c=4
ab - bc =
Electric utility poles in the form of right cylinders are made out of wood that costs $27.96 per cubic foot. Calculate the cost of a utility pole with a diameter of 1 ft and a height of 20 ft. Round your answer to the nearest cent.
Answer:
$ 439.19
Step-by-step explanation:
Volume of a cylinder = pi r^2 h r = .5 ft h = 20 ft
V = pi (.5^2)(20)
multiply V * 27.96 to get $ 439.19
Angle RAT measures how many degrees ? 10 20 30.0
The angle RAT which is made with AR and AT line and shown in the figure of protector, measures 30 degrees.
How to measure the angle in protector?Protector is the most useful device to measure the angle between two lines. To measure the angle between two lines using the protector following steps is followed:
Place the protector center point at the vertex of unknown angle.One side of angle should be place at 0 mark line of this device.Other side of angle will be equal to the angle shown in protector on that line.In the given figure, The angle Between AR and AT line is 30 degrees shown in protector.
Thus, the angle RAT which is made with AR and AT line and shown in the figure of protector, measures 30 degrees.
Learn more about the protector here:
https://brainly.com/question/1161640
#SPJ1
After being involved in a car accident last month, ralph’s insurance company has increased his annual premium by $105.38. approximately what change will ralph see on his future monthly statements as a result of the change? a. ralph’s monthly insurance payment will not change. b. ralph’s monthly insurance payment will increase by $8.78. c. ralph’s monthly insurance payment will increase by $17.56. d. ralph’s monthly insurance payment will increase $105.38.
Answer:
B. if it says that the insurence company has increased the price of the plan by a certian amount, then the montly price will increase by a few dollars.
Step-by-step explanation:
What is 4,255 rounded to the nearest THOUSAND?
Answer:
4,000
Step-by-step explanation:
To round a number, take the place next to the one you wish to round and look to see if it is four or under, or five or up. In this case, 2 is less than 5 so we will be rounding down towards the nearest integer, which is 4. Also, all places after the place value you round will become zero. So, 4,000 rounded to the thousands place is 4,000.
hope this helps :)
Answer:
The answer would be 4,000
Step-by-step explanation:
even if you round it up the the nearest hundred, it would still be 4,000.