Answer:
see explanation
Step-by-step explanation:
(1)
x² + 4 = 0 ( subtract 4 from both sides )
x² = - 4 ( take the square root of both sides )
x = ± [tex]\sqrt{-4}[/tex] = ± 2i ← complex solutions
(2)
x² - 81 = 0 ( add 81 to both sides )
x² = 81 ( take the square root of both sides )
x = ± [tex]\sqrt{81}[/tex] = ± 9 ← real solutions
Answer:
1. -2
2. 9
Step-by-step explanation:
1. 0 = x2 + 4
-4 = x2
[tex]\sqrt{-4}[/tex] = x
x = -2
2. 0 = x2 - 81
81 = x2
[tex]\sqrt{81}[/tex] = x
x = 9
MARK IT BRAINLIEST!!!
In the given figure if p||q what is the value of b?
Answer:
120°
Step-by-step explanation:
We can see that b=a by opposite exteriors.
So a+1/2a=180
1.5a=180
a=180/1.5=120
And since b and a are equal, b also equals 120°
if a + b + c = 9 and ab + bc + ca = 26 find the value of a^2 + b^2 + c^2
[tex](a+b+c)^2=a^2 + 2 a b + 2 a c + b^2 + 2 b c + c^2\\a^2+b^2+c^2=(a+b+c)^2-2ab-2ac-2bc\\a^2+b^2+c^2=(a+b+c)^2-2(ab+ac+bc)\\\\a^2+b^2+c^2=9^2-2\cdot26=81-52=29[/tex]
What are the solutions to the equation 3(x – 4)(x + 5) = 0? x = –4 or x = 5 x = 3, x = 4, or x = –5 x = 3, x = –4, or x = 5 x = 4 or x = –5
Answer:
x= 4 x = -5
Step-by-step explanation:
3(x – 4)(x + 5) = 0
Using the zero product property
(x – 4)=0 (x + 5) = 0
x= 4 x = -5
What are the solutions to the equation 3(x – 4)(x + 5) = 0?
x = –4 or x = 5
x = 3, x = 4, or x = –5
x = 3, x = –4, or x = 5
x = 4 or x = –5
Answer:
D. x = 4 or x = –5
Step-by-step explanation:
Select the correct answer.
In which career would you most likely apply concepts from geometry?
Answer:
civil engineering..
hope it helps u
A student estimated the sum 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815 as: All the numbers begin with a 7 or 8, so use cluster estimation. 8 + 8 + 80 + 8 + 80 + 0.8 = 184.8
Answer: this not correct ,because in the expression it is not clear , the numbers are neither exactly rounded to nearest tens or tenths.
Step-by-step explanation:
Our total add is
= 7.95 + 8.11 + 78.5 + 8.05 + 79.4 + 0.815
When we spherical it up to nearest tens
7.95 = 8.00
8.11 = 8.00
78.5 = 79
8.05 = 8.00
79.4 = 79.0
0.815 = 1
when we estimate the rational numbers with an extra operation once done,our results is
= eight + eight + eighty + eight + eighty + zero.8 = 184.8, isn't correct ,because within the expression it's not clear , the numbers area unit neither precisely rounded to nearest tens or tenths.
for example ,79.4 once rounded to nearest tens = seventy nine,but within the expression eighty (80) is written,which isn't correct.
Similarly,when rounded to nearest tens, 0.815 = 1, however within the expression 0.8 is written,which is wrong.
Similarly,when rounded to nearest tens ,78.5 = 79 , however within the expression eighty ( 80 ), is written,which is wrong
Danny is painting a doghouse to make it durable he will paint all sides including the bottom the dog house is shaped like a rectangular prism with a triangular prism on top as shown how many cans of paint does Danny need to cover the doghouse if each can covers 20ft squared
Answer:
15 cans
Step-by-step explanation:
There are two shapes that make up the dog house, they are the triangular and rectangular prism, with the combination of a semi-circle and rectangle as the door opening.
The area of a rectangle for the top ( T ) and bottom ( B ) side view:
top height = 3ft, and width= 8ft
bottom height = 4.5ft, width= 8 ft
Area ( T ) = 3 X 8 = 24 ft^2
Area ( B ) = 4.5 X 8 = 36ft^2
The front and back view is a triangle and rectangle:
area of triangle = 1/2 x base x height
with the base = 4ft, and sides= 3 ft
height = sqrt( side^2 - (1/2 height)^2 )^0.5
= sqrt( 9 - 4 ) = 2.235
area of triangle( front and back ) = 1/2( 4 x 2.235 ) = 4.47 ft^2
area of rectangle ( back ) = 4 x 4.5 = 18ft
The entrance is a rectangle with area = 2.5 x 2 = 5ft^2
and semi-circle with area = (πr^2)/2 = (3.14 x 1^2)/2 = 1.57ft^2
area of entrance = 5 + 1.57 = 6.57ft^2
area of front view = 18 - 6.57 = 11.43ft^2
the total area of the doghouse is = 11.43 + 18 + 72 + 48 + 8.94 = 158.37ft^2
this is for just the outside. to get the total for inside and outside:
158.37 x 2 = 316.74ft^2
total area per paint can = 20ft^2
total number of cans needed = 316.74 / 20 = 15 paint cans
Answer:
6 cans are needed to paint the dog house.
Step-by-step explanation:
multiple choice
a. 126 pie cm^3
b. 84 pie cm^3
c. 504 pie cm*3
Answer:
a. 126 pie cm^3
Step-by-step explanation:
Area of a circle = pi*r²
Volume = area*height
(pi*r²)*14
Since your answers are with Pi omit the Pi and times 3² * 14 = 126 pie cm³
Answer:
A. 126pi cm^3
Step-by-step explanation:
The volume of a cylinder can be found using the following formula.
[tex]v=\pi r^2 h[/tex]
First, we must find the radius. The radius is half of the diameter.
[tex]r=\frac{d}{2}[/tex]
The diameter of the cylinder is 6 cm.
[tex]r=\frac{6cm}{2}[/tex]
[tex]r= 3cm[/tex]
The radius is 3 cm.
Now, we can substitute values into the formula.
[tex]v=\pi r^2 h[/tex]
[tex]r= 3cm\\h=14 cm[/tex]
[tex]v=\pi (3cm)^2*14 cm[/tex]
Evaluate the exponent.
[tex](3cm)^2=3cm*3cm=9cm^2[/tex]
[tex]v=\pi*9cm^2*14cm[/tex]
Multiply 9 cm^2 and 14 cm
[tex]9 cm^2*14cm=126cm^3[/tex]
[tex]v=\pi*126cm^3[/tex]
The answer choices are in terms of pi, so we can simply rearrange our answer:
[tex]v=126\pi cm^3[/tex]
The volume of the cylinder is 126pi cubic centimeters and A is the correct answer.
A tent is in the form of a right circular cylinder and cone. The radius of the cone and cylinder is 4 meters. The height of the cylinder and cone are 4.5 meters and 3 meters respectively. Find the outer surface area of the tent. (Assume π = 22 /7)
Answer:
176m²
Step-by-step explanation:
When we are asked to find the outer surface area of a geometric shape, it means to find the Lateral or Curved Surface Area of the shape. We are given two shapes above.
Step 1
Find the Outer surface area of the cone
Outer / Lateral surface area of a cone =
πrl
Where l = √r² + h²
r = 4 m
h = 3m
Outer surface area = 22/7 ×√4² + 3²
= 22/7 × √16 + 9
= 22/7 × √25
= 22/7 × 5
= 62.83185m²
Step 2
Find the outer surface area of a cylinder
= 2πrh
π = 22/7
r = 4m
h = 4.5
π = 22/7
Outer surface area of a cylinder = 2 × 22/7 × 4 × 4.5
= 113.09734m²
Step 3
The Outer Surface Area of the Tent = Outer Surface Area of the cone + Outer Surface Area of the cylinder
= 62.83185m² + 113.09734m²
= 175.92919m²
Approximately ≈ 176m²
Therefore, the outer surface area of the tent = 176m²
La madre de rosita se ha comprado una mascarilla por un valor de 1 25 dolares al mismo tiempo se ha comprado un paquete de jabones de 2 00 dolares y luego compra un gel de alcohol en 3 00 dolares después de pagar le queda 7 65 dolares que debemos saber que tengo que hacer para obtener el resultaron
Answer:
La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos es de $13.90
Step-by-step explanation:
La información dada son;
El valor de la máscara = $ 1.25
El valor del paquete de jabones = $ 2.00
El valor del gel de alcohol = $ 3.00
La cantidad que le quedaba después de pagar = $ 7.65
Por lo tanto, tenemos;
La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos = La cantidad que le quedaba después de pagar + El valor del gel de alcohol + El valor del paquete de jabones + El valor de la mascarilla
Por lo tanto;
La cantidad inicial que tenía la madre de Rosita antes, comprando los artículos = $ 7.65 + $ 3.00 + $ 2.00 + $ 1.25 = $ 13.90.
Which is the simplified form of x-12?
Help
Answer:
1 / x^12
Hope this helped!!!
Answer: c)
Answer:
1 / x^12
What is the standard form of function f ?
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:
f(x) = 4(x + 6)² + 5
The above expression can be written as: f(x) = ax² + bx + c, by doing the following:
1. Expand (x + 6)²
(x + 6)² = (x + 6)(x + 6)
(x + 6)(x + 6)
x(x + 6) + 6(x +6)
x² + 6x + 6x + 36
x² + 12x + 36
(x + 6)² = x² + 12x + 36
2. Substitute x² + 12x + 36 for (x + 6)² in
f(x) = 4(x + 6)² + 5
This is illustrated below:
f(x) = 4(x + 6)² + 5
(x + 6)² = x² + 12x + 36
f(x) = 4(x² + 12x + 36) + 5
Clear bracket
f(x) = 4x² + 48x + 144 + 5
f(x) = 4x² + 48x + 149
Therefore, the standard of the function:
f(x) = 4(x + 6)² + 5
is
f(x) = 4x² + 48x + 149
A teacher orders 20 copies of a new graphic novel for his class to read. Each of the books weighs the same amount. The total weight of all the books is 10 pounds, What is the weight of 1 book?
Answer:
Each book weighs 1/2 lbs
Step-by-step explanation:
Take the total weight and divide by the number of books
10 lbs/20 books
1/2 lbs per book
Each book weighs 1/2 lbs
Which equation represents a population of 320 animals that decreases at an annual rate of 19% ?
A. p=320(1.19)t
B. p=320(0.81)t
C. p=320(0.19)t
D. p=320(1.81)t
Use the ^ symbol to indicate exponents. So for instance 4^2 = 4 squared.
A decrease of 19% means we have r = -0.19 and 1+r = 1+(-0.19) = 0.81 as the base of the exponent. A decrease of 19% means the population retains 81% each year.
Which of the following options have the same value as 75\%75%75, percent of 969696?
Answer:
90
Step-by-step explanation:
If the product of two matrices is AB=1/-3/5 over 2/5/7, what are the dimensions of Matrix B if A is a 2x3 matrix?
Answer:
Matrix multiplication is associative: ( A B ) C = A ( B C ) \displaystyle \left(AB\right)C=A\left(BC\right) (AB)C=A(BC).
Matrix multiplication is distributive: C(A+B)=CA+CB,(A+B)C=AC+BC. C ( A + B ) = C A + C B , ( A + B ) C = A C +
How to do this question plz answer me step by step plzz plz
Answer:
4 cm
Step-by-step explanation:
Volume of milk
LBH
L= 8, B= 5 and H =12
5×8×12=480
After rotation
L= 8, B=15 and H=x
V=LBH
480=8×15×x
480=120x
x=4cm
Answer:
The depth of the milk is 4cm when turned
Step-by-step explanation:
First we need to figure out how much milk is inside the container. We can do this by finding the volume it takes up. The milk's depth is 12cm so the height is 12 instead of 15. The length and width remain the same (5 and 8)
5x8x12=480 cm^3
The volume of the milk is 480, so when the carton is turned, the milk's volume still is the same
When it is turned, the base changes. Now it is 8 and 15 for the length and width. We just need to find the height.
8x15xh=480
120h=480
h=4
The depth of the milk is 4cm when turned
if Angie’s gross pay for 21.5 hours was $282.08, what was her pay per hour?
Answer:
$13.12 per hour
Step-by-step explanation:
Take the total pay and divide by the number of hours
$282.08/21.5 hours
$13.12 per hour
Answer:
Step-by-step explanation:
21.5 hours - $282.08
1 - ?
$282.08/21.5 = $13.12
find the empirical formula of the compound containing 2.4 gram of carbon, 6.4 gram of oxygen and 0.2 gram of hydrogen
*sorry its chemistry*
Answer:
Empirical formula= COOH
Step-by-step explanation:
Molecular mass of the elements
Carbon= 12
Oxygen= 16
Hydrogen= 1
We divide the elements each with their molecular formula
Carbon= 2.4/12
Carbon= 0.2
Oxygen= 6.4/16
Oxygen= 0.4
Hydrogen= 0.2/1
Hydrogen= 0.2
Now we divide with the smallest result which is 0.2
Carbon= 0.2/0.2
Carbon = 1
Oxygen= 0.4/0.2
Oxygen= 2
Hydrogen= 0.2/0.2
Hydrogen= 1
So we have
Carbon 1, oxygen 2, hydrogen 1
Empirical formula= COOH
PLS HELP BRAINLIST A RHANK YOU AND 5 STARS
Answer:
Hey there!
x=95
This is because x and the angle of 95 degrees are vertical angles, and vertical angles are congruent to each other.
Let me know if this helps :)
GIVE ME A REAL ANSWER PLEASE! IT IS DUE NOW! Factor completely 3x^2 + 5x + 1.
(3x + 1)(x + 1)
(3x + 5)(x + 1)
(3x − 5)(x + 1)
Prime
Answer:
prime
Step-by-step explanation:
3x^2 + 5x + 1
it can't be factorizes with rational numbers
Answer:
Prime
Step-by-step explanation:
3x^2 + 5x + 1
3x^2 factors in to 3x and x
1 factors into 1 and 1
( 3x + 1) ( x+1)
We need to verify the middle is 5
3x+1x = 4x
so this is not true
We cannot factor this so it is prime
50.For the direct variation such that when y = 2 then x = 3, find the constant of variation ( k ) and then find the value of y when x = –0.5.
Step-by-step explanation:
Since it's a direct variation
y = kx
where k is the constant of proportionality
To find the value of y when x = –0.5 we must first find the relationship between the variables
When
x = 3
y = 2
2 = 3k
Divide both sides by 3
[tex]k = \frac{3}{2} [/tex]
So the formula for the variation is
[tex]y = \frac{3}{2} x[/tex]When x = - 0.5 or - 1/2
[tex]y = \frac{3}{2} ( - \frac{1}{2} )[/tex]
We have the final answer as
[tex]y = - \frac{3}{4} [/tex]Hope this helps you
need help...!! plzzz
NEED HELP!
Create a table of points from the equation f (x)= 3x^2 -8x + 2
Answer:
The second table
Step-by-step explanation:
To create table of points using the function, [tex] f(x) = 3x^2 - 8x + 2 [/tex], substitute the value of x in each case.
Thus,
For x = -1,
[tex] f(-1) = 3(-1)^2 - 8(-1) + 2 = 3(1) + 8 + 2 = 3 + 8 + 2 [/tex]
[tex] f(-1) = 13 [/tex]
For x = 0
[tex] f(0) = 3(0)^2 - 8(0) + 2 = 3(0) - 0 + 2 = 0 - 0 + 2 [/tex]
[tex] f(0) = 2 [/tex]
For x = 1,
[tex] f(1) = 3(1)^2 - 8(1) + 2 = 3(1) - 8 + 2 = 3 - 8 + 2 [/tex]
[tex] f(1) = -3 [/tex]
For x = 2,
[tex] f(2) = 3(2)^2 - 8(2) + 2 = 3(4) - 16 + 2 = 12 - 16 + 2 [/tex]
[tex] f(2) = -2 [/tex]
For x = 3,
[tex] f(3) = 3(3)^2 - 8(3) + 2 = 3(9) - 24 + 2 = 27 - 24 + 2 [/tex]
[tex] f(3) = 5 [/tex]
The second table is the correct answer.
In 1 through 3, what is the relationship between the values of the given digits?
1. The 7s in 7,700
2. The 2's in 522
Answer:
7000 (7 thousand)
700 (7 hundred)
20 (2 tens)
2 (2 units)
Step-by-step explanation:
what is the relationship between the values of the given digits?
1. The 7s in 7,700
2. The 2's in 522
From the knowledge of place values;
7,700 could be broken down thus :
7000 + 700 + 0 + 0
The first 7 depicts thousands as it has 3 trailing digits (7000)
The second 7 depicts hundred as it has 2 trailing digits (700)
522 could be broken down thus :
500 + 20 + 2
From 522
The first '2' has one trailing digit = tens
The ending / last digit ia always = Unit value
Suppose the radius of a circle is 2. What is its circumference?
Answer:
12.57
Step-by-step explanation:
The formula to solve the circumference of a circle is:
2 x PI x R (radius)
=> 2 x PI x 2
=> 4 PI or 12.57
PLS ANSWER I WILL GIVE BRAINLIST AND A THANK YOU
Answer:
x= 6 degrees
Step-by-step explanation:
x+x+54 = 90
2x+54 = 90
x= 90- 54 /2
x =6
Answer:
x = 6
Step-by-step explanation:
90 - 54 = 36
x + 5x = 6x
36 + 6x = 90
90 - 36 = 6x
36/6x = 6
x = 6
How do you solve
n= (2s-1)+(s-1)
Answer:
n=3s-2
Step-by-step explanation:
Step 1: Remove unnecessary parentheses (2s-1)
Step 2: Collect "Like Terms" (2s+s= 3s)
Last Step: Put them all together (n=3s - 2)
Help me again please
Answer:
answer C (0,-9)
Step-by-step explanation:
the line passes through (0,-9)
A right cylinder has a radius of 2 units and a height of 5 units.
A right cylinder has a radius of 2 units and a height of 5 units.
What is the volume of the cylinder? Round to the nearest tenth.
31.4 cubic units.
62.8 cubic units
157.1 cubic units
314.2 cubic units.
Answer:
62.8 cubic units
Step-by-step explanation:
Because, The formula of volume of cylinder is Volume = square of radius multiply by its height
The volume of the cylinder round to the nearest tenth is 62.8 cubic inches
How to calculate the volume of a cylinder?The formula for calculating the volume of a cylinder is expressed as;
V = πr²h
where
r is the radius of the cylinder
h is the height of the cylinder
Given
radius = 2 units
height = 5 units
Substitute
V = (3.14)* 2² * 5
V = 3.14 * 20
V = 62.8 cubic inches
Hence the volume of the cylinder round to the nearest tenth is 62.8 cubic inches
Learn more on volume of cylinder here: https://brainly.com/question/9554871
Ruben goes to a shop to buy 24.5m of cloth and 13.5m ribbon. The cloth costs Rs.85.40 per metre and the ribbon costs Rs.8.5 per metre. If he pays Rs. 2300 to the shopkeeper, how much money will he get back?
Answer:
Rs.92.95
Step-by-step explanation:
Given the following :
Metres of cloth purchased = 24.5m
Metres of ribbon = 13.5m
Cost of cloth per metre = Rs.85.40
Cost of Ribbon per metre = Rs.8.50
Total amount given to shopkeeper = Rs. 2300
how much money will he get back?
Total cost of cloth:
Cost per metre * number of metres
85.40 * 24.5 = Rs. 2092.30
Total cost of Ribbon :
Cost per metre * number of metres
8.50 * 13.5 = Rs. 114.75
Total cost of goods purchased :
Rs. (2092.30 + 114.75) = Rs. 2,207.05
Amount of change :
Rs. (2300 - 2207.05) = Rs.92.95
