Answer:
[tex]{ \underline{ \sf{x \: is \: \: \{ \frac{ - 5 + i \sqrt{35} }{10} \} } \: \: and \: \: \{ \frac{ - 5 - i \sqrt{35} }{10} \}} }[/tex]
Step-by-step explanation:
[tex]5 {x}^{2} + 4x + 3 = 0 [/tex]
from quadratic formular:
[tex]{ \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }} [/tex]
general equation:
[tex] {ax}^{2} + bx + c = 0[/tex]
a is 5, b is 4 and c is 3:
substitute in formular:
[tex]{ \sf{x = \frac{ - 5± \sqrt{ {5}^{2} - (4 \times 5 \times 3) } }{(2 \times 5)} }} \\ \\ { \sf{x = \frac{ - 5± \sqrt{ - 35} }{10} }}[/tex]
but from complexes, i² = -1
[tex]{ \sf{x = \frac{ - 5± \sqrt{35 {i}^{2} } }{10} }} \\ \\ = { \sf{x = \frac{ - 5±i \sqrt{35} }{10} }}[/tex]
Can anyone help me out? (120)(-0.5) =
Answer:
-60
Step-by-step explanation:
Calculator.
Sorry for my small handwriting..
Answer:
9.067cm
Step-by-step explanation:
x--- amount by which the length is reduced
area=(18-x)(15)=134
(18-x)=134/15
x=18-(134/15)
x= 9.067cm
Chase thought that only 23 people would come to the banquet, but 48 people ended up coming. What was his percent error?
Answer:
The answer is 52%
ssmoga membantu
What is the relationship between the 6s in 675,002 and 385,621?
Answer:
6647 is a whole. For you to know the relationship between the 6s in this number write their values. The value of the first 6 is 6000. The value of the second 6 is 600.
773 centimeters to meters
Answer:
7.73
Step-by-step explanation:
Change the denominators into powers of 10 and write the decimal form.
a)
.
[tex] \frac{4}{5} [/tex]
b)
.
[tex] \frac{1}{20} [/tex]
c)
.
[tex] \frac{3}{160} [/tex]
9514 1404 393
Answer:
a) 0.8
b) 0.05
c) 0.01875
Step-by-step explanation:
The denominator will need to have equal powers of 2 and 5 to be a power of 10.
a) 4/5 = (4/5)(2/2) = 8/10 = 0.8
__
b) 1/20 = 1/(2²·5) = (1/20)(5/5) = 5/100 = 0.05
__
c) 3/160 = 3/(2⁵·5) = (3/160)(625/625) = 1875/10000 = 0.01875
Find the coordinates of the point 7/10 of the way from A to B A -3,-7 B 11,4
9514 1404 393
Answer:
(6.8, 0.7)
Step-by-step explanation:
That point is ...
A + (7/10)(B -A)
= (-3, -7) +(7/10)(11 -(-3), 4 -(-7)) = (-3, -7) +7/10(14, 11)
= (-3, -7) +(9.8, 7.7) = (6.8, 0.7)
The point 7/10 from A to B is (6.8, 0.7).
-ek 4 - Assessment - C12000: X --- 2.com/le/content/9122/viewContent/279438/View puma 5 Drive Safely | Dash... BUMA ment e Left:0:23:21 Jennifer Glenn: Attempt 1 Question 19 (2.5 points) In the formula =(G15-G14)*$M$3/4, which mathematical operation is performed first?
Answer:
yes
Step-by-step explanation:
how do you simplify this question x^3z^7/x^5z
Answer:
go to symbolab and it will simplify for you, brainly is useless with these kinds of questions. Symbolab.com very easy to use and gives you answer right away instead of have to wait for some oaf like me to solve your problems.
Step-by-step explanation:
find x if 8.4% of x is 420. explain with steps
Step-by-step explanation:
Pls mark brainliest
Plssssssssssssssss
A percentage is a way to describe a part of a whole. The value of x is 5,000.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that 8.4% of x is 420. Therefore, we can write the given statement in the form of an equation as,
8.4% of x = 420
8.4% × x = 420
(8.4/100) × x = 420
x = (420 × 100)/8.4
x = 5,000
Hence, the value of x is 5,000.
Learn more about Percentages here:
https://brainly.com/question/6972121
#SPJ2
Please help i don’t have a lot
A can of tomatoes has a radius of 6 cm and a height of 10 cm. What is the approximate volume of the can?
A:36 cm3
B:60 cm3
C:113 cm3
D:1,130 cm3
Answer:
D: 1,130 cm³
Step-by-step explanation:
You need the volume of a cylinder.
V = πr²h
V = 3.14159 * (6 cm)² * 10 cm
V = 3.14159 * 36 cm² * 10 cm
V = 1130.97 cm³
Answer: D: 1,130 cm³
Answer:
The choose D. 1130 cm³
v = r² pi/ h
v = (6)² × 3.14 × 10
v = 1130.4
v = 1130
Fourteen percent of the towns population are above the age of 65. If there are about 320 residents over the age of 65 then what is the towns population.
Answer:
Step-by-step explanation:
Answer:
About 2286
Step-by-step explanation:
Let x be the number of the towns population.
14% x = 320
[tex]\frac{0.14x}{0.14} =\frac{320}{0.14}[/tex]
x = [tex]2285\frac{5}{7}[/tex]
x is about 2286.
Out of 22 cakes baked today, 11 cakes were baked in the morning. What is the ratio of cakes baked in the morning to total cakes?
Answer:
1/2
Explanation:
22 ÷ 11 = 2
Exactly half of the cakes were made in the morning
Answer:
11:22
Simplified=
1:2
How do I solve this
Answer:
i dont know
Step-by-step explanation:
Find the area of the shaded region.
There are four parts of a circle, so you have to find out the area of the circle:-
10 cm=Radius
[tex]10^{2}[/tex]=100
[tex]\pi[/tex]=3.14
3.14*100=314 [tex]cm^{2}[/tex]
Now, find the area of the square box:-
Since half the side of the square is 10 cm, the total length of one side is 2*10 which is 20 cm.
Area=S*S
=20*20=400 [tex]cm^{2}[/tex]
Now subtract the area of the box from the area of the square:-
400-314= 86 [tex]cm^{2}[/tex]
That is the area of the shaded part.
Happy to help you!
2. An electronic watch is sold for Rs 840 at a profit of Rs 90. Find its cost price and the profit per cent.
Answer:
750 CP AND PROFIT%=12%
Step-by-step explanation:
SP=rs 840
profit=90
CP=SP-profit
=840-90
=750
profit %=profit/CP*100%
=90/750*100%
=12%
Can someone help me solving this differential equation?
Find the general solution of [tex]x^4y''+x^3y'-4x^2y=1 given tha [tex]t y_1=x^2 is a solution of the associated homogeneous equation.
Use reduction of order. Given a solution [tex]y_1(x) = x^2[/tex], look for a second solution of the form [tex]y_2(x) = y_1(x)v(x)[/tex].
Compute the first two derivatives of [tex]y_2(x)[/tex]:
[tex]y_2 = x^2v \\\\ {y_2}' = x^2v' + 2xv \\\\ {y_2}'' = x^2v''+4xv' + 2v[/tex]
Substitute them into the ODE:
[tex]x^4 (x^2v'' + 4xv' + 2v) + x^3 (x^2v' + 2xv) - 4x^2 (x^2v) = 1 \\\\ x^6v'' + 5x^5v' = 1[/tex]
Now substitute [tex]w(x) = v'(x)[/tex] and you end up with a linear ODE:
[tex]x^6w'+5x^5w=1[/tex]
Multiply through both sides by [tex]\frac1x[/tex] (if you're familiar with the integrating factor method, this is it):
[tex]x^5w'+5x^4w = \dfrac1x[/tex]
Bear in mind that in order to do this, we require [tex]x\neq0[/tex]. Just to avoid having to deal with absolute values later, let's further assume [tex]x>0[/tex].
Notice that the left side is the derivative of a product,
[tex]\left(x^5w\right)' = \dfrac1x[/tex]
Integrate both sides with respect to [tex]x[/tex] :
[tex]x^5w = \displaystyle \int\frac{\mathrm dx}x \\\\ x^5w = \ln(x) + C_1[/tex]
Solve for [tex]w(x)[/tex] :
[tex]w = \dfrac{\ln(x)+C_1}{x^5}[/tex]
Solve for [tex]v(x)[/tex] by integrating both sides:
[tex]v = \displaystyle \int \frac{\ln(x)+C_1}{x^5} \,\mathrm dx[/tex]
Integrate by parts:
[tex]\displaystyle f = \ln(x) + C_1 \implies \mathrm df = \frac{\mathrm dx}x \\\\ \mathrm dg = \frac{\mathrm dx}{x^5} \implies g = -\frac1{4x^4} \\\\ \implies v = -\frac{\ln(x)+C_1}{4x^4} + \frac14 \int \frac{\mathrm dx}{x^5} \\\\ v = -\frac{\ln(x)+C_1}{4x^4} - \frac1{16x^4} + C_2 \\\\ v = -\frac{4\ln(x)+C_1}{16x^4}+C_2[/tex]
Solve for [tex]y_2(x)[/tex] :
[tex]\displaystyle \frac{y_2}{x^2} = -\frac{4\ln(x)+C_1}{16x^4}+C_2 \\\\ y_2 = -\frac{4\ln(x)+C_1}{16x^2} + C_2x^2[/tex]
But since [tex]y_1(x)=x^2[/tex] is already accounted for, the second solution is just
[tex]\displaystyle y_2 = -\frac{4\ln(x)+C_1}{16x^2}[/tex]
Still, the general solution would be
[tex]\displaystyle \boxed{y(x) = -\frac{4\ln(x)+C_1}{16x^2} + C_2x^2}[/tex]
PLEASE HELP
the question is in the picture above ^^
Answer: it’s B
Step-by-step explanation:
linear equation 4x-1=9
Answer:
5/2 or 2.5
Step-by-step explanation:
4x-1=9
4x=9+1
4x=10
x=10/4
x=5/2 or 2.5
Answer:
x = 5/2
Step-by-step explanation:
4x - 1 = 9
4x - 1 + 1 = 9 + 1
4x = 10
4x/4 = 10/4
x= 5/2
You roll a six sided die 2 times what is the probability of rolling a 5 then a 2 pls help
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Yeah, don't know how to explain :/
10% + 20% + 70% divided by 250 milliion
Answer: 8.16e-10
I think idrk
Answer:
[tex] \frac{10\% +20\% + 70\% }{250 \: million} \\ \\ \\ \frac{ \frac{10}{100} + \frac{20}{100} + \frac{70}{100} }{250 \times 10 ^{6} } = \frac{ \frac{100}{100} }{250 \times {10}^{6} } \\ \\ \frac{1}{250 \times {10}^{6} } = 4 \times {10}^{ - 9} [/tex]
I hope I helped you^_^
Answer with explanation please?
Answer:
x=136°
bcs they are parallel and they are congruent
................
Enter the correct answer in the box.
Linear function is shown in the graph. Write the slope-intercept form of the equation representing this function.
Y
10
8
6-
4
2
-75
-8
-6
X
- 5
-4
O
4
6
8
10
-2-
-4
-6-
N
-84
Answer:
Slope = 3
y-intercept: - 7
y = 3x -7
Step-by-step explanation:
Im so bad at math but i swear im trying my best :( i really tried learning and understanding this but i just can’t , pls pls help me , thank you
Answer:
angle j=104 degrees
angle m= 127 degrees
Step-by-step explanation:
angle n=53 degrees
angle h=104 degrees
angle m=180-53(angles on a staright line)
angle m= 127 degrees
angle j=104 degrees (vertically opposite angles)
A triangle has a perimeter of 75 inches. Find the length of three sides
if one side is 15 inches larger than the smallest side, and the third
side is twice the smallest
Answer:
The side lengths are:
15, 30, and 30
Step-by-step explanation:
Let x determine the length of the smallest side length then
the other one is said to be 15 in larger so it's x + 15
finally the third size is said to be twice as the smallest one so it's 2x
The perimeter is the sum of all three sides added up
x + 2x + x + 15 = 75 add like terms
4x + 15 = 75 subtract 15 from both sides
4x = 60 divide both sides by 4
x = 15
Factors and rewrite the expression 99x+9
Answer:
9(11x+1)
Step-by-step explanation:
99x + 9
The greatest common factor is 9 so put 9 outside of parenthesis
9(11x+9)
Answer:
9(11x+1)
Step-by-step explanation:
We can see that these two values in the equation can be factored by 9 so divide both by 9
99/9= 11
9/9= 1
Rewrite expression by inputting the numbers in parenthesis while keeping the 9 "outside"
9(11x+1)
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
VX
O(x, y) - (x + 5, y-3)
O(x,y) → (x + 5, y + 3)
(x, y) (x-3, y + 5)
O(x,y) → (X + 3, y + 5)
Answer:
Step-by-step explanation:
5 units up means y is crease by y =>
y+5
and x unit left means x is decreasedby 3
=> x-3
thus new coordinates are (x-3,y+5)
Thus (x,y) → (x − 3, y + 5) (x, y) is
correct
P.S. have a wonderful weekend!!
to divide fractions invert the second fraction and multiply
True
Flase
Answer:
TrueStep-by-step explanation:
Example of dividing fraction:Givens: 1/2 and 3/61/2 ÷ 3/6= 1/2 × 6/3= 6/6= 1[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! NOT A MULTIPLE CHOICE!!!
In a hotel building, the lobby is located at sea-level. The first floor is located 18 feet above the lobby, and the basement is located 22 feet below the lobby.
a. Write an inequality to compare the elevations of the first floor and the basement.
b. What is the distance from the lobby to the basement? Write your answer as an absolute value statement.
c. Which is a greater distance from the lobby: the first or basement? Justify your response.
9514 1404 393
Answer:
-22 < 0|-22-0| = 22distance to basement is greaterStep-by-step explanation:
a) If we let B, L, F represent the elevations of the basement, lobby, and first floor, respectively, then we have ...
B = -22
L = 0
F = 18
Your inequality could be either of ...
B < L
-22 < 0
__
b. We're not sure exactly the form you're looking for. Use whichever absolute value statement is appropriate to your needs.
distance = |B -L| = |-22 -0| = |-22| = 22
__
c. The distance from the lobby to the first floor is |18 -0| = 18.
The distance from the lobby to the basement is |-22-0| = 22.
The distance 22 is greater than the distance 18, so the distance to the basement is greater.
_____
Additional comment
The difficulty with this question is not figuring out whether -22 is farther from 0 than is +18. The difficulty is in figuring out the form of the answer that is expected. Without looking at your curriculum materials, we cannot even make an appropriate guess.
I badly need help with this!!! Pls pls help, thank you
Answer:
DAC=18(corresponding angles)
EAD= 162 degrees
Step-by-step explanation:
DAC=18(corresponding angles)
EAD=180-18(angles on a straight line)
EAD= 162 degrees
Answer:
Here, we have,
<HBA=18°
<DAC=?
<EAD=?
Now,
i)<DAC=<HBA=18°[being corresponding angle]
ii)<EAD+<DAC=180°[being straight angle]
or, <EAD+18°=180°
or, <EAD=180°-18°
or, <EAD=162°
Thus, <DAC=18° and<EAD=162°.