Answer:
Step-by-step explanation:
For this equation: a=3, b=4, c=2
3x2+4x+2=0
Step 1: Use quadratic formula with a=3, b=4, c=2.
x= −b±√b2−4ac / 2a
x= −(4)±√(4)2−4(3)(2) / 2(3)
x= −4±√−8 / 6
Answer:
No real solutions.
The quadratic equation 3x² + 4x + 2 = 0 does not have a real solution.
What are Quadratic Equations?Quadratic equations are second degree polynomial equations which is of the form ax² + bx + c = 0, where a, b and c are integers.
Given quadratic equation is,
3x² + 4x + 2 = 0
Quadratic formula to find the solution is,
x = [-b ± [tex]\sqrt{b^2-4ac}[/tex]] / 2a, where [tex]\sqrt{b^2-4ac}[/tex] is called discriminant.
Here, a = 3, b = 4 and c = 2
Substituting,
x = [-4 ± [tex]\sqrt{4^2-(4*3*2)}[/tex]] / (2 × 3)
= [-4 ± √(16 - 24)] / 6
= [-4 ± √(-8)] / 6
This has no real solution since the value inside the discriminant is negative.
Hence the quadratic equation has no real solution.
Learn more about quadratic Equations here :
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Which of the following is closest to the volume of the cone? Use n=3.14.
904 cubic feet
21,704 cubic feet
5426 cubic feet
16,278 cubic feet
Answer:
B. 21,704 cubic feet
Step-by-step explanation:
Hope this helped
The Smiths are moving across the country. Mr. Smith leaves 5 hours before Mrs. Smith. If he averages 75mph and she averages 95mph, how many hours will it take Mrs. Smith to catch up to Mr. Smith?
Answer:
How much of a head start in miles did Mr. Smith have?
+d%5B1%5D+=+60%2A4+
+d%5B1%5D+=+240+ mi
------------------
Start a stopwatch when Mrs. Smith leaves. Let +t+
= the time on the stopwatch in hrs when Mrs. Smith
catches up with Mr. Smith.
Let +d+ = the distance in miles that Mrs. Smith
travels until she overtakes Mr. Smith
------------------
Mr. Smith's equation:
(1) +d+-+240+=+60t+
Mrs. Smith's equation:
(2) +d+=+80t+
-------------------
Substitute (2) into (1)
(1) +80t+-+240+=+60t+
(1) +20t+=+240+
(1) +t+=+12+
Mrs. Smith overtakes Mr. Smith in 12 hrs
-------------------
check:
(2) +d+=+80t+
(2) +d+=+80%2A12+
(2) +d+=+960+ mi
and
(1) +d+-+240+=+60t+
(1) +d+-+240+=+60%2A12+
(1) +d+=+240+%2B+720+
(1) +d+=+960+ mi
A rental car company charges $40.18 per day to rent a car and $0.05 for every mile driven. Jacob wants to rent a car, knowing that:
He plans to drive 75 miles.
He has at most $270 to spend.
Which inequality can be used to determine dd, the maximum number of days Jacob can afford to rent for while staying within his budget?
A. 270≥40.18(3.75+d)
b.270≥40.18d+3.75
c.270≤40.18d+3.75
d.270≤40.18(3.75+d)
Answer:
b) 270 ≥ 40.18d + 3.75
Step-by-step explanation:
Per day is a variable, so it's 40.18d
Per mile is also a variable so 0.05m
40.18d + 0.05m ≤ 270
40.18d + 0.05(75) ≤ 270
40.18d + 3.75 ≤ 270
Answer: 270 ≥ 40.18d + 3.75
simplify the following indices :
6²×3²×3³×6⁴
Answer:
The answer is 11,337,408
Step-by-step explanation:
6^2 = 36, 3^2 = 9, 3^3 = 27, and 6^4 = 1296.
when you multiply them all together, you get 11,337,408.
Johnson and Leone (Statistics and Experimental Design in Engineering and the Physical Sciences, John Wiley, 1977) describe an experiment conducted to investigate warping of copper plates. The two factors studied were temperature and the copper content of the plates. The response variable is the amount of warping. Some of the data are as follows:_____.
40 100 Temperature (°C) 50 75 100 Copper Content (%) 60 80 16, 21 24, 22 18, 13 17, 12 18, 21 25, 23 23, 21 23, 22 17, 20 12,9 16, 12 21, 17 28, 27 27,31 30, 23 125 29, 31
Do a complete analysis. Your analysis should include the following 1. What are the factors, respective factor levels and the response variable? 2. Check the two assumptions. 3. Check overall model significance using ANOVA table 4. Check the significance of Interaction effect and Main effects (If necessary) 5. Conclusion.
Answer:
Design Expert Output Response: Warping ANOVA for Selected Factorial Model Analysis of variance table [Partial sum of squares] Sum of Mean F Source Squares DF Square Value Prob > F Model 968.22 15 64.55 9.52 < 0.0001 significant A 698.34 3 232.78 34.33 < 0.0001 B 156.09 3 52.03 7.67 0.0021 AB 113.78 9 12.64 1.86 0.1327 Residual 108.50 16 6.78 Lack of Fit 0.000 0 Pure Error 108.50 16 6.78...
Step-by-step explanation:
Phyllis snow borrowed 3200 to pay for a new roof. She signed a 6-month promissory note at 12% interest. find the amount
2. 19 x - x = + 1, what is the value of x?
Answer:
x=1/18
Step-by-step explanation:
19x-x=+1
18x=+1
x=1/18
2. A penguin is setting on an iceberg 157 feet above the water? If a walrus is in the water 312 feet from the base of the iceberg, what is the angle of depression from the penguin to the walrus?
Answer: 26.7
Step-by-step explanation:
Answer:
26.7
Step-by-step explanation:
Mariah and Caitlyn are moving a sofa for their teacher. If the sofa weighs 350 kg, how fast did the sofa accelerate if a 48 N force was applied?
Answer:
[tex]7.291(6)\frac{m}{s^2}[/tex]
Step-by-step explanation:
Firstly, there's definitely large friction with a sofa, so we cannot answer.
Assming there is no friction:
The acceleration is directly proportional to force and inversely proportional to mass (makes sense, right?)
[tex]a = \frac{F}{m}\\a = \frac{350kg}{48N} = \frac{350kg}{48\frac{kg\cdot m}{s^2}} = \frac{350}{48}\frac{m}{s^2} = 7.29166666\ldots\frac{m}{s^2}[/tex]
A vector v has initial point (5,-2) and terminal point (1, -3). Write v in the form v=ai+bj.
Answer:
v= -4i-j
Step-by-step explanation:
we subtract the coordinates and we achieve the coordinates and we replace them in the equation of the straight line in the form y=ai+bj.
13
What is the inverse of when
15
multiplying fractions?
13
A
15
15
B
13
13
C с
13
15
D
15
Answer:
Step-by-step explanation:
15x13=?
15+15+1=31
so the answer is 31
Which is not a true statement about the disadvantages of certain methods of payment?
Answer:
I dont know explaining more its not clear plz explaining ore
pls pls pls help!!!!!!
9514 1404 393
Answer:
ornament area = 379.8 cm²paint needed: 114 bottlesStep-by-step explanation:
The surface area of one cone with slant height s and radius r is ...
SA = πr² +πrs = πr(r+s)
For the cone that is half an ornament, the surface area is ...
SA = (3.14)(4.2 cm)(4.2 cm + 10.2 cm) = 189.9072 cm²
The area of one ornament is the area of two cones:
one ornament area = 2×189.9072 cm² ≈ 379.8 cm²
60 ornaments will be 120 cones, so will have a total surface area of ...
total area = 120(189.9072 cm²) = 22,788.864 cm²
__
If one bottle of paint will cover 201 cm², then the number of bottles of paint required is ...
(22788.864 cm²)/(201 cm²/bottle) ≈ 113.4 bottles
Apply the elimination method to solve the system of equations 2x+6y=8 and 3x+2y=2 which three statements are correct
Answer: x= -2/7, y = 10/7
Step-by-step explanation: 1) 2x +6y = 8 and 2) 3x + 2y = 2
Multiply equation 2) by -3 and you get -9x -6y = -6.
Add together and sum is -7x = 2 and x= -2/7 then insert to eat, 2) value of x:
3·(-2/7) +2y = 2 and 2y = 2+ 6/7 2y = 20/7 and y = 10/7
What is the value of x?
Answer:
30
Step-by-step explanation:
the 60 degrees can be transferred to the side right next to the 4x. that means 4x+60=180, 4x=120, x=30
which statement correctly compares the two functions given below? f(x) =-32x-17 g(x) =-8x+12 A. Function f(x) decreases at a rate 4 times faster than function g(x) B. Function g(x) decreases at a rate 24 times faster than function f(x) C. Function g(x) decreases at a rate 4 times faster than function f(x) D. Function f(x) decreases at a rate 24 times faster than function g(x)
Answer: A
Step-by-step explanation:
An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume
Answer:
Step-by-step explanation:
Let assume that the volume = 88 cubic feet
Then:
[tex]L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\[/tex]
The construction cost now is:
[tex]C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}[/tex]
Now, to determine the minimum cost:
[tex]\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}[/tex]
[tex]w = \dfrac{88}{3(3)}^{1/3} \ feet[/tex]
Now;
[tex]length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet[/tex]
[tex]height = ( 88})^{1/3} (3)^{1/3} \ feet[/tex]
Помагите даю оччен много баллов
Answer:
2. 4.46
3. 12
Step-by-step explanation:
2. D = [tex]\frac{P}{\pi }[/tex] = [tex]\frac{14}{3.14}[/tex] = 4.458 = 4.46
3. [tex]\frac{4}{5} = \frac{x}{15}[/tex]
5 * x = 4 * 15
5x = 60
x = [tex]\frac{60}{5}[/tex] = 12
pls help me under stand this
9514 1404 393
Answer:
5 ft
Step-by-step explanation:
You are given the area and base lengths of a trapezoid and asked for its height. The formula for the area of a trapezoid is useful.
A = (1/2)(b1 +b2)h
Filling in the given information, you have ...
30 ft² = (1/2)(4 ft +8 ft)h
30 ft² = (6 ft)h . . . . . . . . . . . simplify
h = (30 ft²)/(6 ft) = 5 ft . . . . divide by the coefficient of h
The height of the trapezoid is 5 feet.
Find the center and radius of the circle defined by the equation given below. x ^ 2 + 2x + y ^ 2 + 10y = 15?
Answer:
Step-by-step explanation:
Remark
Complete the square for x and for y.
complete for x
x^2 + 2x + (2/2)^2
(x + 1)^2
Complete square for y
y^2 + 10y + (10/2)^2
(y + 5)^2
Now put these two together
(x + 1)^2 + (y + 5)^2 = 15 + (10/2)^2 + (2/2)^2
(x + 1)^2 + (y + 5)^2 = 15 + 25 + 1
(x + 1)^2 + (y + 5)^2 = 41
Answer
Center: (-1,-5)
radius: (sqrt(41) = 6.403
Can someone pls help me
Answer:
x = 15.42
Step-by-step explanation:
cos 63° = 7/x
0.4540 x = 7
x = 15.42
Simplify
b + 4 + 4 + b=
Answer:
2b+8 is the simplify expression
Answer:
b + 4 + 4 + b=
= +b +b +4 +4
= 2b + 8
__________________________
another way
b + 4 + 4 + b=
= +b +b +4 +4
= 2b + 8
= b = [tex]\frac{8}{2} \\\\[/tex]
= b= 4
Ans: b= 4
Which of the following is the least reduced equivalent of 243/729?
A.2/6
B.1/3
c.3/9
D. 1/2
Answer:
B.1/3
Step-by-step explanation:
Dividing by 3.
243/729
81/243
27/81
9/27
3/9
1/3
What is the quotient of 20 divided by one fourth?
Answer: 80 i think
Step-by-step explanation:
At a restaurant, the bill comes to $90. If you decide to leave a 17% tip, how much is the tip?
Answer:
$15.30
Step-by-step explanation:
To find 17% of 90 you would have to do;
0.17x90 = 15.3
Therefore, the tip would come out to be $15.30
Priscilla makes a profit of $24.50 on every scarf she sells the materials for each scarf cost $8.39 how much does Priscilla sell each scarf for?
Answer:
SP = $32.89
Step-by-step explanation:
Given that,
CP of every scarf = $8.39
Profit = $24.50
We need to find the SP for each scarf. We can find it as follows :
SP = CP +profit
SP = 8.39+24.50
SP = $32.89
So, Priscilla sells each scarf for $32.89.
Explain,why is having no free time a bad thing?
Answer:
because it helps you feel happieness and your not feeling it
Step-by-step explanation:
Which equation represents a line which is parallel to the y-axis?
Submit Answer
O y = x + 2
O2 = -2y
O y = -1
O2 = -2
Answer:
the 2nd one
Step-by-step explanation:
Find the area of this triangle. Round to the nearest whole number.
Answer:
[tex]35 cm^{2}[/tex]
Step-by-step explanation:
5 x 14 divided by 2 = 35
List all possible outcomes.