Answer:
x = - 1Step-by-step explanation:
x² + 2x + 1 = 0
Using the quadratic formula
[tex]x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
a = 1 , b = 2 , c = 1
We have
[tex]x = \frac{ - 2± \sqrt{ {2}^{2} - 4(1)(1)} }{2(1)} \\ \\ x = \frac{ - 2 ± \sqrt{4 - 4} }{2} \\ \\ x = \frac{ - 2 ± \sqrt{0} }{2} \\ \\ x = - \frac{2}{2} \\ \\ x = - 1[/tex]
Hope this helps you
Find the area of an equilateral triangle (regular 3-gon) with 6-inch sides. Round your answer to the nearest hundredth.
Answer:
15.59 in^2
Step-by-step explanation:
The area of an equilateral triangle with side length "s" is given by ...
A = (√3)/4·s^2
Filling in your numbers, we have ...
A = (√3)/4·(6 in)^2 = 9√3 in^2
A ≈ 15.59 in^2
The area is about 15.59 square inches.
What are the zeros of the function y = 2x2 + 5x+2 ?
pls helppp!
Answer:
answer is a
Step-by-step explanation:
zeros are x intercepts
Answer:
A
Step-by-step explanation:
(2x+1)(x+2)
so
2x=-1
x=-1/2
x=-2
A
To obtain a Class E license, you don’t need to
Answer:
provide a valid passport
Step-by-step explanation:
Answer:
be a us citizen
Step-by-step explanation:
Suppose your car has hhh liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is ggg liters.
Answer:
g = (h+a) - l
None of them
Step-by-step explanation:
Suppose your car has h liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is g liters. Which of the following expressions always represents how far away the new oil level is from the previous oil level? H+G lGl none of them
Let
h = liters of oil in the morning
l= liters that has leaked
a= liters that were added during the day
g= amount of liters at the end of the evening
Total liters of oil in the evening= (litres of oil in the morning + litres of oil added during the day) - litres of oil that leaked
Substituting each variable into the formula, we have
g = (h+a) - l
An observer on the top of a lighthouse observes the angles of depression of two ship at anchor to be 75 and 45 respectively. Find the distance between the two ships if the line joining them points to the base of the light house which is 100 meters high. (use tan 15 = 0.27) Answer should be 73 meter.
Answer:
Distance between two ships = 73 units
Step-by-step explanation:
Note:
tangent = opposite / hypotenuse
Referring to diagram,
Distance of ship A from tower = 100 tan(90-45) = 100 units
Distance of ship B from tower = 100 tan(90-75) = 100 tan (27) = 27 units
Distance between two ships = 100-27 = 73 units
5/16 = 15/18 is proportion
Answer:
False
Step-by-step explanation:
In a proportion, the two fractions are equal. Here the denominators are different for the same numerator, so the fractions are not equal. The given expression is not a proportion.
Coffee is sold in two different sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger canister is double the size of the small canister (i.e., the diameter and height are doubled). Calculate the volume and surface area of each canister and compare the results of doubling the dimensions.
Answer:
Below
Step-by-step explanation:
The canister has a cylindric form
The volume of a cylinder is given by the following formula :
V= r^2 * Pi *h
H is the heigth and r os the radius(half of the diameter)
Let Pi = 3.14
●●●●●●●●●●●●●●●●●●●●●●●●
V= 3.14*4.5^2 * 12
V= 763.02
V = 763 cm^3(after rounding to the nearest unit)
●●●●●●●●●●●●●●●●●●●●●●●●
The surface area of a cylinder is given by the followong formula:
Sa = 3.14*r^2*2 + Pi*d*h
r is the radius, d the diameter and h the heigth
Let Pi= 3.14
Sa= 3.14*4.5^2*2 + 3.14*9*12
Sa= 466.29 cm^2
Sa= 466 cm^2 ( after rounding to the nearest unit
●●●●●●●●●●●●●●●●●●●●●●●●
The dimensions of the second canister are the double of the first one
V= r^2*Pi*h
V= 9^2 *3.14*24
V= 6104.16 cm^3
V= 6104 cm^3 (after rounding to the neatest unit)
Sa= 2*3.14*r^2+ 3.14*d*h
Sa= 2*3.14*9^2 + 3.14*24*18
Sa= 1865.16 cm^2
Sa= 1865 cm^2 (after roundong to the nearest unit)
●●●●●●●●●●●●●●●●●●●●●●●●
The volume and the surface area of the second canister are bigger than the first one
Divide the second volume by the first one :
V2/V1= 6104/763 = 8
We deduce that the voulme of the second canister is greater 8 times than the first one
Do the same for the surface area
Sa2/Sa1 = 1865/466 = 4.002 = 4 (after rounding to the nearest unit)
The second surface area is greater 4 times than the first one
Answer:
Yeah, what they said above.
Step-by-step explanation:
Using leaner combination method what is the solution to the system of linear equations 7x-2y=-20 and 9x+4y=-6
Answer:
x = -2 and y = 3
Step-by-step explanation:
In linear combination method we try one of the variables from bopth of equations by
first making the variable equal in vlaue
then either subtracting or adding the two equation as required to eliminate the variable.
_____________________________________________
7x-2y=-20 equation 1
and 9x+4y=-6 equation 2
we see that y has
has value -2 and +4
4 = 2*2
thus, if we multiply equation1 with 2 we will give value for variable y as 4y and hence y can be eliminated easily.
7x-2y=-20
multiplying the LHS and RHS with 2
2(7x-2y)=-20 *2
=> 14x - 4y = -40 eqaution 3
now that we have got 4y
lets add equation 2 and equation 3
9x +4y= -6
+14x - 4y = -40
________________________________
=> 23x + 0 = -46
x = -46/23 = -2
Thus, x = -2
substituitinng x = -2 in 7x-2y=-20
7*-2 -2y=-20
=> -14 -2y = -20
=> -2y = -20+14 = -6
=> y = -6/-2 = 3
Thus, y = 3
solution is x = -2 and y = 3
Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three eighths the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television
Answer:
32 inches by 64 inches
Step-by-step explanation:
Since the generic television is [tex]\frac{3}{8}[/tex] the size of the brand name.
Then the brand name is [tex]\frac{8}{3}[/tex] the size of the generic, thus
[tex]\frac{8}{3}[/tex] × 12 = 32
[tex]\frac{8}{3}[/tex] × 24 = 64
Thus dimensions are 32 inches by 64 inches
Answer:
The dimensions are 32 inches by 64 inches
A randomized study compared two drugs that
are designed to lower a person's triglyceride
level. It was found that over a 1-year period,
those receiving Drug A decreased their
triglyceride level by a mean of 69. Those
receiving Drug B decreased their triglyceride
level by a mean of 45.
To determine whether the results are significant,
the data are rerandomized and the difference of
the means is shown in the dot plot.
What is the best conclusion to make based on
the data?
Answer:b
Step-by-step explanation:
2 3/8 ÷ 1 1/4
Steps
19/8 x 4/5
= 19/10
= 1 9/10
So the answer to this is B.
Please answer this in two minutes
Answer:
[tex] x = 6.6 [/tex]
Step-by-step explanation:
Given ∆WXY,
<X = 15°
<Y = 23°
y = 10
x = ?
To find side x, use the Law of sines as shown below:
[tex] \frac{x}{sin X} = \frac{y}{sin Y} [/tex]
Plug in the values of y, Y, and X
[tex] \frac{x}{sin 15} = \frac{10}{sin 23} [/tex]
[tex] \frac{x}{0.2588} = \frac{10}{0.3907} [/tex]
Cross multiply
[tex] x*0.3907 = 10*0.2588 [/tex]
Divide both sides by 0.3907 to solve for x
[tex] \frac{x*0.3907}{0.3907} = \frac{10*0.2588}{0.3907} [/tex]
[tex] x = \frac{2.588}{0.3907} [/tex]
[tex] x = 6.624 [/tex]
[tex] x = 6.6 [/tex] (to nearest tenth)
What is the solution to this system of linear equations? 3x – 2y = 14 5x + y = 32 (3, 5) (6, 2) (8, –1) (14, –18)
Answer:
work is shown and pictured
The solution to the system of linear equation is (x, y) = (6, 2)
3x - 2y = 14 (1)
3x - 2y = 14 (1)5x + y = 32 (2)
From (2)
y = 32 - 5x
Substitute y = 32 - 5x into (1)
3x - 2y = 14 (1)
3x - 2(32 - 5x) = 14
3x - 64 + 10x = 14
13x = 14 + 64
13x = 78
x = 78/13
x = 6
Substitute x = 6 into (2)
5x + y = 32 (2)
5(6) + y = 32
30 + y = 32
y = 32 - 30
y = 2
(x, y) = (6, 2)
Read more:
https://brainly.com/question/2159099
Determine which one of the following statements is true.
A. Linear growth will always exceed exponential growth.
B. Linear growth will always exceed quadratic growth.
C. Quadratic growth will always exceed exponential growth.
D. Exponential growth will always exceed linear growth.
Answer:
D. Exponential growth will always exceed linear growth.
Step-by-step explanation:
An "exponential growth function" would always exceed the "linear growth function" in the end because the "x-values" tends to get larger in continuation, so the change rate associated with the "exponential function" also increases in continuation whereas the "linear functions' change rate is considered as constant.
In the question above, option D is correct.
Melinda drives 60 2/5km in 1 hour. How many kilometers dose he drive in 5 hours ?
Answer:
60 2/5 x 5 = 60 x 5 + 2/5 x 5
60 x 5 = 300
2/5 x 5 = 2
300 + 2 = 302 so 302 is the answer
302 km for 5 hours
Step-by-step explanation:
Step-by-step explanation:
Km in 1 hour = 60 2/5 = 60.4km
Km in 5 hours = 60.4 x 5 = 302km
Find the domain of each function: g(x)= 1/x−9
Answer:
x ∈ R, x ≠ 9
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{x-9}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined.
To find the value that x cannot be, equate the denominator to zero and solve for x
x - 9 = 0 ⇒ x = 9 ← excluded value
Thus the domain is x ∈ R, x ≠ 9
One number is 5 times another. If their
difference is 96, find the numbers.
Answer:24
Step-by-step explanation:
24*5=120.
So the difference between 120-24=96.
The required number, one number is 5 times another and their difference is 96 is 24 and 120.
One number is 5 times another. If their difference is 96, To find the numbers.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements.
Let the number be x and y
According to the first condition,
One number is 5 times another.So,
y = 5x
Following the second condition,
their difference is 96. So,
y - x = 96 - - - - - (1)
Now put y = 5x in the above equation
5x - x = 96
4x = 96
x = 96/4
x = 24
Now put x = 24 in y = 5x
y = 5*24
y = 120
Thus the required number, one number is 5 times another and their difference is 96 is 24 and 120.
Learn more about arithmetic here:
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Mark uses an app that shows him how many kilometers he has run to prepare for a marathon. The app said he ran 9.654 kilometers. He wants to post online how many miles he ran. Mark ran ___ miles.
Answer:
6 miles
Step-by-step explanation:
We are told that mark ran 9.654 kilometers.
We want to find out the distance in miles.
Now, to convert from kilometres to mile, we know that;
1.609 kilometers = 1 mile
Thus;
9.654 kilometers = (9.654 × 1)/1.609 miles = 6 miles
So, the number of miles he will post online is 6 miles
plz help me 3y+x=7
4x-2y=0
Answer:
x = 1
y = 2
Step-by-step explanation:
3y + x = 7 first equation
-2y + 4x = 0 second equation
multiplying by -4 the first equatión
-4(3y + x = 7)
-4*3y -4*x = -4*7
-12y -4x = - 28
and sum the second equation:
-12y - 4x = -28
- 2y - 4x = 0
-14y - 0 = -28
-14y = -28
y = -28/-14
y = 2
from the first equation:
3y + x = 7
3*2 + x = 7
6 + x = 7
x = 7 - 6
x = 1
Check:
from the second equation:
4x - 2y = 0
4*1 - 2*2 = 0
4 - 4 = 0
Find the product.
7xy(3x2y3)
PLEASES HELP!!! ASAP!!!
Answer:
21x³y^4
Step-by-step explanation:
7xy(3x^2y^3)=
21x³y^4
Answer:
21x^3y^4
Step-by-step explanation:
Multiply each term:
21x^3y^4
Plz mark me brainliest!!
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]\boxed{\mathrm{all \: real \: numbers}}[/tex]
Step-by-step explanation:
[tex]F(x)=2^x[/tex]
The domain of a function is the set of input values that the function can take.
There are no restrictions on the value of x.
The domain of the function is all real numbers.
[tex]- \infty\leq x\leq \infty[/tex]
The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units. An isosceles triangle is rotated about line k on one side. The opposite side has a length of 24 units. Which best describes the resulting three-dimensional shape? a cone with a base radius of 17 units a cone with a base radius of 34 units a cylinder with a base radius of 17 units a cylinder with a base radius of 34 units
Answer:
a cone with a base radius of 17 units
Step-by-step explanation:
The computation of three-dimensional shape is shown below:-
Data provided
Perimeter of Triangle = 58 units
One non equal side = 24 units
We will assume two equal side = x units
x + x + 24 = 58
2 x = 58 - 24
2 x = 34
[tex]x = \frac{34}{2}[/tex]
x = 17
As we can see that the triangle is rotated about line k
This will give in a cone as it is a dimensional shape of three
So, the shape which is new will be of cone having radius 17 units
slant height 24
height k units
Answer:
A
Step-by-step explanation:
WILL GIVE BRAINLEIST!!!!!
Find the surface area of the right triangular prism shown below.
Answer:
144 units²
Step-by-step explanation:
Surface area of a traingular prism is given as:
Area = 2(B.A) + P*L
Where,
B.A = base area of the triangular prism = ½*b*h
b = base of the triangular base = 4 units
h = height of the triangular base = 3 units
Base Area (B.A) = ½*4*3 = 2*3 = 6 units²
P = Perimeter of triangular face = sum of all sides the triangle = 3 + 4 + 5 = 12 units
L = length or height of prism = 11 units
Plug in all values into the formula for surface area of triangular prism = 2(B.A) + P*L
[tex] Area = 2(6) + 12*11 [/tex]
[tex] = 12 + 132 [/tex]
[tex] Surface Area = 144 [/tex]
Surface area of the triangular prism = 144 units²
7th grade-Post-test Summer Sc...
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Which of the following pairs are like terms? Select all that apply.
11a and 13a power of 2
18k and 18b
7x and 16x
17yz and 12y
9pq and 8qp
Answer:
9pq, 8qp, and 7x, 16y
Step-by-step explanation:
these pairs have the same variable and exponent. To be a like term, you have to have same variables and same exponents, so therefore 11a and 13a^2 can't be like terms.
S = { x ; x is a multiple of 8. 0 < x <30 } Describe this set in another method
Step-by-step explanation:
Hi,
Let's describe it in listing method;
S= {8,16,24}.
Hope you got it...
Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3? A. A B. B C. C D. D
PQRS is a parallelogram. Find the values of a and b. Solve for the value of c if c = a + b.
A. 5
B. 14
C. 0
D. 7
Answer:
a = 7
b = 7
c = 14 [Correct option is B. 14]
Step-by-step explanation:
Since the shape is a parallelogram, to solve this problem, use some of the properties of a parallelogram:
(i) Opposite sides are parallel and congruent. Being congruent means the sides are identical. In other words, they have the same length.
From the diagram, this means that sides PQ and SR are identical. i.e
=> PQ = SR
=> 6a + 10 = 8a - 4 [collect like terms and solve]
=> 14 = 2a
=> a = 7
(ii) Opposite angles are congruent. Angles PQR and PSR are identical. i.e
<PQR = <PSR = (9b + 2)°
Also,
<SPQ = <SRQ = (18b - 11)°
(iii) Consecutive angles are supplementary. The sum of any two angles that are not opposite to each other is 180°. i.e.
<SPQ + <PQR = 180°
<PQR + <QRS = 180°
<QRS + <RSP = 180°
.
.
.
Also,
<PSR + <SPQ = 180°
(9b + 2)° + (18b - 11)° = 180° [expand bracket and solve for b]
9b + 2 + 18b - 11 = 180
27b - 9 = 180
27b = 189
b = 7
Now, since a = 7 and b = 7;
c = a + b = 7 + 7 = 14
Therefore;
a = 7
b = 7
c = 14
Tins of milk each of volume 77cm^3 and weight 170g
were packed into an empty carton of volume 1540cm^3
and weight 5ooo g.
How many tins of milk can be packed to fill the carton ?
What is the weight of the carton when packed with the tins of milk?
Answer:
1. 20 tins of milk
2. Weight of the Carton = 8,4kg ot 8400g
Step-by-step explanation:
Given
Volume of a Tin = 77cm³
Weight of a tin = 5000g
Volume of Empty Carton = 1540cm³
Weight of Empty Carton = 5000g
Calculating the number of tins of milk
To do this, we have to make use of the given volumes;
And this is done as follows;
[tex]Number = \frac{Volume\ of\ Empty\ Carton}{Volume\ of\ a\ Tin}[/tex]
Substitute 77cm³ for Volume of a Tin and 1540cm³ for Volume of an Empty Carton
[tex]Number = \frac{1540cm^3}{77cm^3}[/tex]
[tex]Number = 20[/tex]
Hence, 20 tins of milk will filled the empty carton
Calculating the weight of the Carton after filled with tins of milk
This is calculated as thus;
Total Weight = Weight of Empty Carton + Weight of Tins of Milk
Substitute 5000g for Weight of Empty Carton
Total Weight = 5000g + Weight of Tins of Milk
_________________________________________
Calculating Weight of Tins of Milk
Since 20 tins of milk will fill the empty carton, the
Weight of Tins of Milk = 20 * Weight of 1 Tin of Milk
Weight of Tins of Milk = 20 * 170g
Weight of Tins of Milk = 3400g
_________________________________________
Substitute 3400g for Weight of Tins of Milk
[tex]Total\ Weight = 5000g + 3400g[/tex]
[tex]Total\ Weight = 8400g[/tex]
In Kilograms:
[tex]Total\ Weight = 8.4kg[/tex]
NEED HELP NOWWW Which of the following is a monomial?
O A. 9/x
O B. 20x - 14
O C. 11 x^2
D. 20^9 - 7x
Answer: C
Step-by-step explanation:
A monomial is a expression where in it is x to the power of something, and x cannot be a denominator
A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 15, 5, 30, 50. The third column is labeled Y with entries 5, 8, 15, 28. The fourth column is labeled Z with entries 10, 7, 5, 22. The fifth column is labeled Total with entries 30, 20, 50, 100. Which two events are independent?
Answer:
hey! it's A and X on edge :)
Someone help quick!!!
The diagram shows several points and lines. Which statements are true based on the diagram? Select two options.
A. Points K, M, and N are collinear
B. Points J, K, and Q are collinear
C. Points are is the intersection of the line KN and the line MQ
D. Find JQ, KM, and MQ all
intersect at point K
E. There is only one line that can be drawn through points L and P
Answer:
B, E
Step-by-step explanation:
J, K, Q are all on the same line: collinear
You can draw only one line through L and P
Answer:
b,e
Step-by-step explanation:
e2020