Answer:
x² - 3x + 0.25 = 0
Step-by-step explanation:
Given a root x = a then the corresponding factor is (x - a)
Given roots x = 1.5 + [tex]\sqrt{2}[/tex] and x = 1.5 - [tex]\sqrt{2}[/tex] then the factors are
(x - (1.5 + [tex]\sqrt{2}[/tex] ) ) and (x - (1.5 - [tex]\sqrt{2}[/tex] ) ) , that is
(x - 1.5 - [tex]\sqrt{2}[/tex] ) and (x - 1.5 + [tex]\sqrt{2}[/tex] )
The equation is then the product of the factors
(x - 1.5 - [tex]\sqrt{2}[/tex] )(x - 1.5 + [tex]\sqrt{2}[/tex] ) = 0 ← expand factors using FOIL
(x - 1.5)² - ([tex]\sqrt{2}[/tex] )² = 0
x² - 3x + 2.25 - 2 = 0
x² - 3x + 0.25 = 0
Jenna bought some rope for a project. The rope cost $3.50 per meter. She bought 432 centimeters of ropehow much did jenn pay for the rope
Answer:
1 meter= 100 cm
432cm/100=4.32 cm
$3.50*4.32=$15.12
the total cost is: $15.12
Step-by-step explanation:
Answer:
15.12
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
13
20
help please !
Answer: D, 15.2
Step-by-step explanation:
use formula a^2 + b^2 = c^2
a^2 + 13^2 = 20^2
a^2 + 169 = 400
- 169 -169
a^2 = 231
sqrt sqrt
a = sqrt(231)
a = 15.198 = 15.2
Mrs.Lorentz bought 12 pounds 8 ounces of flour. This is 1/4 of the flour she will use to make sugar cookies in her bakery this week. If she uses 5 ounces of flour for each batch of sugar cookies, how many batches of sugar cookies will she make in a week?
Answer:
153 batches
Step-by-step explanation:
Which One Doesn't Belong?
Choose the shape that does NOT belong with the
others.
Explain your thinking .
Find the length of the missing side
(I’ll give brainliest)Find the area of the circle below leave your answer in terms of Pi
Answer:
I think it's 20 i'm not so sure if you get it wrong than i'm sorry
which expressions is equivalent to 4(2x+3y)
Answer: 8x+12y
Step-by-step explanation:
Assuming this is a problem in a unit on distributive property, and thus, due to the apparent lack of options, will solve it as such:
The distributive property dictates that a(b+c) = ab+ac.
Thus,
4(2x+3y)
8x+12y
Hope it helps :)
Answer:
8x+12y
Step-by-step explanation:
Multiply both numbers times the number is outside the parenthesis
If the sales tax rate is 7 1/4 percent and Jessica paid $1.45 in sales tax for a
sweater, what was the price of the sweater?
Answer:
$20
Step-by-step explanation:
Find the price of the sweater by dividing 1.45 by 0.0725
1.45/0.0725
= 20
So, the sweater was $20
A car starts from rest and attains a velocity of 9km/h in 5 seconds . Calculate acceleration and the displacement covered in that time
Answer:
Acceleration is 0.5 m/s² and the distance covered is 6.25 m.
Step-by-step explanation:
Given that,
Initial speed, u = 0
Final speed, v = 9 km/h = 2.5 m/s
Time, t = 5 seconds
We need to find the acceleration and the displacement covered in that time. Acceleration = rate of change of velocity
So,
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{2.5-0}{5}\\\\a=0.5\ m/s^2[/tex]
Distance d can be calculated using third equation of motion.
[tex]d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{2.5^2-0^2}{2\times 0.5}\\\\d=6.25\ m[/tex]
So, acceleration is 0.5 m/s² and the distance covered is 6.25 m.
the points m(-10, 3) and p(-4, -8) are graphed on the coordinate plane. to the nearest tenth of a unit what is the distance between points m and p
Answer:
Distance between points m and p = 12.53 unit (Approx.)
Step-by-step explanation:
Given:
Co-ordinate of points
m(-10, 3)
p(-4, -8)
Find:
Distance between points m and p
Computation:
Distance between two points = √(x1 - x2)² + (y1 - y2)²
Distance between points m and p = √(-10 + 4)² + (3 + 8)²
Distance between points m and p = √(-6)² + (11)²
Distance between points m and p = √36 + 121
Distance between points m and p = √157
Distance between points m and p = 12.53 unit (Approx.)
What is the midpoint of the segment shown below no links please
Answer:
D. (2,5)
Step-by-step explanation:
Since the segment is straight and horizontal the y-value will still be 5. Now to find the midpoint you simply figure out how long the segment is and divide by 2. After dividing by 2 you can add that number to smallest value or subtract it from the largest value to get the midpoint x value.
the length of AB rounded to the nearest tenth is ___ units
Answer:
7.6
Step-by-step explanation:
√( 4 - -3) ^2 + ( -1 - 2) ^2
√(49 + 9)
√58
= 7.6
In which quadrant said is each point located.
Answer:
Quadrent II
Step-by-step explanation:
It is like a elevator. You have to walk to the elevator to go before you can go up. So you go to the negative area first and then climb up because 8 is positive, and that would land you in Quadrent II
Add the following rational numbers: 5/8 and 3/-10
Answer:
= 13/40
Step-by-step explanation:
(5/8) + (3/-10)
5/8 = 50/80
3/-10 = -24/80
then:
(5/8) + (3/-10) = 50/80 - 24/80
= 26/80 = 13/40
Answer:
13/40
Step-by-step explanation:
Which function is the inverse of f(x) = 2x + 3
o f(x) = - 1 / 2 x - 3/2
o f(x) = 1/2 x -3/2
o f(x) = -2x+3
O f(x)=-2x+3
Answer:
[tex] \frac{ - 1}{2}x - \frac{ - 3}{2} [/tex]
Step-by-step explanation:
I think so
A rock weighs 80 g on a triple beam scale. The same rock is then gently placed inside a graduated cylinder containing 30 mL of water. If the water level in the graduated cylinder rises to 75 mL. What is the density of the rock
Answer:
1.78 g/cm³Step-by-step explanation:
80 g rock displaces water:
75 ml - 30 ml = 45 ml = 45 cm³Density = mass / volume:
d = 80 g / 45 cm³d = 1.78 g/cm³ (rounded)Garth is giving 10 of the action figures from his collection to his brother. If a represents the number of action figures Garth has, which expression shows how many actions figures Garth will have left?
brainless will be provided if you answer this question, but please hurry.
Which table shows a set of ordered pairs that appears to lie on the graph of a linear function?
Answer:
B
Step-by-step explanation:
Answer:
The answer is C. ✋✋✋✋✋
The mean of 5 numbers is ten I add one now the mean is 11 which number did I add?
Answer:
you added 6
Step-by-step explanation:
how the number order goes.
Which of the following shapes is
considered to be a 2 dimensional
figure?
A. A cylinder
B. A cube
C. A pyramid
D. A circle
Answer:
D, Circle
Step-by-step explanation:
All the other shapes are 3D and have a volume.
If the spinner shown is spun 40 times, predict the number of times the spinner would land on Section B.
Answer:
10 times
Step-by-step explanation:
Given that:
Number of sections = (A, B, C, D) = 4
Probability of spinner landing on section B on a single spin = required outcome / Total possible outcomes
P(landing on B) = 1 /4
Predicted Number of times spinner will land on D ; if spinner is spurned 40 times
1/4 * 40 = 10 times
PLSZSZ HELPPPP
The daily low temperatures
for Fairbanks, Alaska are
shown in the table. What
was the mean low
temperature for Fairbanks,
Alaska for January 1st-4th?
Answer: -16
Step-by-step explanation: The answer is -16 because you are looking for the median and you sort it out first:
-16.3, -16.1, -15.9, -15.7 cross them out and you should have -16.1 and -15.9 remaining. Add them (-32) then divide by 2. Then you should get -16. You’re welcome.
Consider g(x)
4x + 9
x6+1
Which statement correctly uses limits to determine the end behavior of g(x)?
Answer:
the 3rd option
Step-by-step explanation:
Answer:
the correct answer to this is C, have a wonderful day :)
Step-by-step explanation:
A system of linear equations is shown below.
y= 2x + 1
y = - 1/4x + 3
Which equation can be used to determine the value of x for the solution?
Answer:
Step-by-step explanation:
hello :
2x+1 = -1/4 x+3....same y
For purposes of making on-campus housing assignments, a college classifies its students as Priority A (seniors), Priority B (juniors), and Priority C (freshmen and sophomores). Of the students who choose to live on campus, 22% are seniors, 29% are juniors, and the rest are underclassmen. The most desirable dorm is the newly constructed Gold dorm, and 71% of the seniors elect to live there. 19% of the juniors also live there, along with only 5% of the freshmen and sophomores. What is the probability that a randomly selected resident of the Gold dorm is a senior? Show as much work as possible.
Answer:
The probability that a randomly selected resident of the Gold dorm is a senior is 0.1562
Step-by-step explanation:
The given percentage of each class of student is presented as follows;
Priority A (seniors) = 22%, ∴ P(s) = 0.22
Priority B (juniors) = 29%, ∴ P(j) = 0.29
Priority C (freshmen and sophomores) = (100 - 22 - 29)% = 49%, ∴ P(fs) = 0.49
The percentage of the seniors that elect to live at the Gold dorm, = 71%, ∴ P(sG) = 0.71
The percentage of the juniors that live at the Gold dorm = 19%, ∴ P(jG) = 0.19
The percentage of the freshmen and sophomores that live in the Gold dorm = 5%, ∴ P(fsG) = 0.05
The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = P(s) × P(sG)
∴ P(s∩sG) = 0.22 × 0.71 = 0.1562
Therefore;
The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = 0.1562.
Help ASAP!! Geometry -
Find the volume of the solid. (FSSS!) Round answers to the nearest hundredth.
Answer:
x = 9.27 cm
Volume = 289.2 cm³
Step-by-step explanation:
SA = Surface Area
SA = 229.2 cm²
P = Perimeter of Base
P = 3(6)
P = 18 cm
H = Height of Solid
H = x
A = Area of Base(Equilateral Triangle)
A = 6²√3 / 4
A = 36√3 / 4
A = 9√3
A = 9(1.732)
A = 31.176
A = 31.2 cm²
SA = Surface Area
SA = PH + 2A
229.2 = 18x + 2(31.2)
229.2 = 18x + 62.4
229.2 - 62.4 = 18x
166.8 = 18x
9.266 = x
9.27 = x
x = 9.27 cm
V = Volume
V = AH
V = 31.2(9.27)
V = 289.224
V = 289.2 cm³
A animal shelter had 13 dogs and 15 cats. 4 dogs were adopted, and 1 cat died. then 6 more cats were rescued and 1 dog was adopted. then 3 more dogs were adopted, and 6 cats were added.
How many pets are there in all?
(whoever guess correctly gets brainliest)
The total cost of 5 boxes of pasta is $13.00. Each box of pasta costs the same amount.
What is the cost, in dollars, for 1 box of pasta? (only enter a numerical answer in the box)
One box of pasta costs?
Answer:
$2.60
Step-by-step explanation:
13.00÷5=2.6
6 is in tens placement
Segment AB has endpoints A(-2, 8) and B(4,0). The segment is dilated about the origin by a scale factor of 0.5 to create segment AB
What are the endpoints of segment AB?
select both endpoints
(-2,8)
(-1,4)
(0,0)
(1,4)
(2,0)
(4,0)
[please help, i would appreciate it alot]
Answer:
Step-by-step explanation:
(-1,4) (1,4) 2,0
The endpoint of the line segment will be (-1, 4) and (2, 0). Then the correct options are B and E.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
Section Stomach muscle has endpoints A(- 2, 8) and B(4,0). The section is widened at the beginning by a scale variable of 0.5 to make a fragment of the Stomach muscle.
The endpoint of the line segment is given as,
A = 0.5(-2, 8)
A = (-1, 4)
B = 0.5(4, 0)
B = (2, 0)
The endpoint of the line fragment will be (- 1, 4) and (2, 0). Then the right choices are B and E.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ2
Suppose you invest $130 a month for 5 years into an account earning 8% compounded monthly. After 5 years, you leave the money, without making additional deposits, in the account for another 25 years. How much will you have in the end?
Answer:
FV= $70,887.15
Step-by-step explanation:
First, we need to calculate the future value of the $130 deposit for 5 years:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit= $130
i= 0.08/12= 0.0067
n= 5*12= 60 months
FV= {130*[(1.0067^60) - 1]} / 0.0067
FV= $9,561.96
Now, using the following formula, the future value of the investment after 25 years:
FV= PV*(1 + i)^n
n= 25*12= 300
FV= 9,561.96*(1.0067^300)
FV= $70,887.15