A cube-shaped box has a volume of 1/8 of a cubic meter. What is the perimeter of each of its
faces?
Given:
The volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:
[tex]V=(side)^3[/tex]
[tex]V=a^3[/tex]
It is given that the volume of a cube-shaped box is [tex]\dfrac{1}{8}[/tex] cubic meter.
[tex]a^3=\dfrac{1}{8}[/tex]
Taking cube root on both sides, we get
[tex]a=\dfrac{1}{2}[/tex]
Now, the perimeter of each face of a cube is:
[tex]P=4a[/tex]
Where, a is the side length of the cube.
Putting [tex]a=\dfrac{1}{2}[/tex], we get
[tex]P=4\times \dfrac{1}{2}[/tex]
[tex]P=2[/tex]
Therefore, the perimeter of each face of a cube-shaped box is 2 meters.
Answer: It's 2 meters
What is the mean of the distribution
the awnser is 799 by 983
Step-by-step explanation:
A missile is fired such that its height above the ground is given by h=-9.8t^2+38.2t+6.5, where t represents the number of seconds since the rocket was fired. Using the quadratic formula, determine, to the nearest tenth of a second, when the rocket will hit the ground.
Please I need help with this question
Answer:
4.1 sec
Step-by-step explanation:
-9.8t^2 +38.2t + 6.5 = 0
t = [tex]\frac{-38.2 +-\sqrt{38.2^2{ - 4(-9.8)(6.5)} } }{2(9.8}[/tex]
= [tex]\frac{-38.2 +- \sqrt{1459.24 + 254.8} }{-19.6}[/tex]
= [tex]\frac{-38.2 +- \sqrt{1714.04} }{-19.6}[/tex]
= [tex]\frac{-38.2 +- 41.4}{-19.6}[/tex]
= [tex]\frac{-79.6}{-19.6}[/tex]
= 4.1
The rocket will hit the ground at 0.2 seconds
FunctionThe function is given as:
[tex]h=-9.8t^2+38.2t+6.5[/tex]
When the missile hits the ground, the value of height is 0
This means that:
[tex]h = 0[/tex]
So, we have:
[tex]-9.8t^2+38.2t+6.5 = 0[/tex]
GraphNext, we plot the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]
See attachment for the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]
From the attached graph, we have:
[tex]t = (0.163, -4.061)[/tex]
Approximate
[tex]t = (0.2, -4.1)[/tex]
Time cannot be negative.
So, we have:
[tex]t = 0.2[/tex]
Hence, the rocket will hit the ground at 0.2 seconds
Read more about height functions at:
https://brainly.com/question/10837575
What is the center and radius of the following
circle:
(x +4)2 + (-2) = 4?
Answer:
x = -1
Step-by-step explanation:
Answer:
That is not a circle; it has no y term
My guess:
center = (h, k) = (-4, 2)
r = √4 = 2
Step-by-step explanation:
If I had to guess what you intended:
(x + 4)² + (y - 2)² = 4
The standard equation for a circle is
(x - h)² + (y - k)² = r²
(h, k) is the center and r is the radius
center = (h, k) = (-4, 2)
r = √4 = 2
x+5 I'll give brainiest
Answer:
X + 5 = X + 5
Step-by-step explanation:
The answer is X + 5 because they both are different simbuls, wich means you cant add them. The answer just stayes x + 5.
6) x is less than or equal to 7
**PLEASE HELP**
Solve the following equation for g: 2(9 - h) = b + 4
can someone help me
i believe the equation would be: [tex]3+\frac{1}{4} c=9[/tex] and there would be 24 pieces of cake! <3
Please answer quickly. I need help bad
The equation y-3=-2(x+1) represents a line. Which best describes the line?
A. slope: 4, passes through (1, -2)
B. slope: -2, passes through (-1,3)
C. slope 2, passes through (-3, 1)
D. slope 4. passes through (2, -1)
Answer:
B
Step-by-step explanation:
Sarah has 11 ¼ lb of dry dog food. She will put an equal amount of food into 3 containers. How much food will be in each container?
Answer:
3 3/4 lb
Step-by-step explanation:
11 ¼ lb ÷ 3
11 ¼ lb x [tex]\frac{1}{3}[/tex]
convert 11 ¼ lb to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
[tex]\frac{45}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{15}{4}[/tex] = 3 3/4 lb
What is the value of the expression?
5 (3+4)
A 19
B) 35
C 12
D) 60
Answer:
B (35)
Step-by-step explanation:
5 * 3 = 15
5 * 4 = 20
20+15= 35
Answer:
B) 35
Step-by-step explanation:
Solve the equations inside the parenthesis first
so 3 + 4 = 7
now multiply 7 x 5 = 35
Can someone prove 1+cosx/1+secx=cosx
with all the steps included?
Please and thank you.
Answer:
Proved , since LHS= RHS
Step-by-step explanation:
We need to prove the given expression ,
=> 1 + cos x / 1 + sec x = cos x
Simplifying LHS.=> 1 + cos (x) / 1 + sec (x)
=> 1 + cos (x) / 1 + 1/cos (x)
=> 1 + cos (x) ÷ 1 + cos(x) / cos (x)
=> 1 + cos (x) × cos(x) / { 1 + cos (x) }
1 + cos (x) gets cancelled . So we are finally left out with ,=> cos (x)
= RHS
Hence proved !Need help!! please/Thank you
Answer:
[tex]50~in[/tex]
Step-by-step explanation:
[tex]perimter=AB+AM+BM[/tex]
[tex]AM=2EM=2(9in)=18in[/tex]
[tex]BM=25E=2(7in)=14in[/tex]
∠m= [tex]180-[/tex] (∠A+∠B)= 180-(70+40)
∠m= 70⇒ AB= AM⇒AB=18
[tex]perimeter=18+14+18=[/tex]
[tex]50~in[/tex]
--------------------------
hope it helps...
have a great day!!
Answer:
your answer will be 50 in
Step-by-step explanation:
HELP0ppppppppppppppp
Answer:
C)
Step-by-step explanation:
in order to understand which triangle would lie on the given line we should figure out the slope of the given line first
remember that,
[tex] \displaystyle m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]
from the graph let's take two points where the line passes i.e (0,0) and (4,6)
substitute:
[tex] \displaystyle m = \frac{6- 0}{ 4 - 0} [/tex]
simplify substraction:
[tex] \displaystyle m = \frac{6 }{ 4 } [/tex]
reduce fraction:
[tex] \displaystyle m = \frac{3}{ 2} [/tex]
now we need a triangle which tan ratio equal to the slope in that case we can consider the third triangle
[tex] \displaystyle \tan( \theta) = \frac{30}{20} [/tex]
reduce fraction:
[tex] \displaystyle \tan( \theta) = \frac{3}{2} [/tex]
since the tan ratio of the third triangle equal to the slope of the line
hence, our answer is c
HELPPPPPPPPPPPPPPPPPPP
Answer:
-31
Step-by-step explanation:
8 - ( -5 * - 3 - 1) ÷ 2 - (6)² + 4
8 - (15 - 1) ÷ 2 - 36 + 4
8 - (14) ÷ 2 - 36 + 4
8 - 7 - 36 +4
1 - 36 + 4
-35 + 4 = -31
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Stephanie borrowed $4,500 at a simple interest rate of 3.5% to buy a motorcycle. How much interest did she have to pay if the loan was taken out for 3 years?
C
Step-by-step explanation:
hope this helps
Help me please!!!!!!!!!!!!!!
Can someone talk to me please?
Answer:
hi
Step-by-step explanation:
Answer:
sure why not .
Hi!:D
Step-by-step explanation:
can I have brainiest
What is the appropriate equation used that would solve for x
Answer:
E) 6x - 10 = 4x + 20
Step-by-step explanation:
In this type of picture, the opposite angles are congruent (they equal the same)
So the right equation would be 6x - 10 = 4x + 20, or E
Plz help . . . plz???
Answer:
A. x^2+3x-4
B. 6x^2-5x+1
Answer:
A: x^2+3x-4
B: 6x^2 -5x +1
Step-by-step explanation:
Alright, so for this, use the FOIL method, by multiplying the terms of each question in this order:
First
Outer
Inner
Last
So with the first question, lets do this:
(x+4)(x-1)
F: x * x = x^2
O: x * -1 = -x
I: x * 4 = 4x
L: 4 * -1 = -4
Then combine the like terms together:
x^2 + -x + 4x -4
A: x^2+3x-4
With the next one, same deal:
(2x-1)(3x-1)
F: 2x * 3x = 6x^2
O: 2x * -1 = -2x
I: 3x * -1 = -3x
L: -1 * -1 = 1
Then combine them up:
6x^2 -2x -3x +1
B: 6x^2 -5x +1
All done!
which answer is correct
Answer:
From top to bottom: 1,3,4
Someone please help with this question I need an answer no longer than 5 minutes
NO LINKS
Answer:
radius: 8.4 Area: 221.5
Step-by-step explanation:
16.8 divided by 2 = 8.4
The Formula for finding the area of circle= R₂ (radius squared: radius times itself) Multiplied by pi. pi = 3.14
8.4₂ multiplied by 3.14
Here is the distribution of blood types from a group
of randomly selected people:
Blood
Type:
o
А
B
AB
Probability:
0.49
0.27
0.20
0.04
Joe can safely receive blood transformations from
people with blood types O and B. What is the
probability that a randomly chosen person can
donate blood to Joe?
Answer:
0.69
Step-by-step explanation:
Add both 0.49 and 0.20 (blood types)
0.49+0.20 = 0,69
The probability that a randomly chosen person can donate blood to Joe
would be 0.69.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
The distribution of blood types from a group of randomly selected people:
Blood Probability:
o 0.49
A 0.27
B 0.20
AB 0.04
Joe can safely receive blood transformations from people with blood types O and B.
The probability that a randomly chosen person can donate blood to Joe
= 0.49 + 0.20
= 0.69
Learn more about probability here;
https://brainly.com/question/11234923
The mean absolute deviation is 46,54,43,57,50,62,78,42
The mean absolute deviation (MAD) of the given set of numbers is 8.75.
What is the mean absolute deviation (MAD)?The mean absolute deviation (MAD) of a group of data points is a statistical metric used to evaluate its dispersion or variability. It indicates how far off the data values are from the mean (average) of the data collection.
Let's calculate the MAD for the given set of numbers: 46, 54, 43, 57, 50, 62, 78, 42.
Calculate the mean:
Mean = (46 + 54 + 43 + 57 + 50 + 62 + 78 + 42) / 8 = 432 / 8 = 54
Find the absolute difference between each number and the mean:
|46 - 54| = 8
|54 - 54| = 0
|43 - 54| = 11
|57 - 54| = 3
|50 - 54| = 4
|62 - 54| = 8
|78 - 54| = 24
|42 - 54| = 12
Calculate the average of these absolute differences:
MAD = (8 + 0 + 11 + 3 + 4 + 8 + 24 + 12) / 8 = 70 / 8 = 8.75
Therefore, the mean absolute deviation (MAD) of the given set of numbers is 8.75.
Learn more about mean absolute deviation here:
https://brainly.com/question/32035745
#SPJ2
Henry takes out a $20,250 student loan to pay for college tuition this year. The interest rate he pays is 6% for 15 years. How much interest will he owe?
Answer:
$1215 x 15 = $18225 This is over 15 years.
what's the value of x?
Answer:
x=40
Step-by-step explanation:
Reflections have to be equal to each other.
Therefore, the equation is going to be 3x-6=114. This is equal to 3x=114+6. This is equal to 3x=120. x=120/3. x=40. Therefore, x=40.
If this helps please mark as brainliest
Answer:
X=40 pls mark brainlist it would really help
Step-by-step explanation:
3x-6 must equal 114. So...
3x-6=114
+6 +6
3x=120
/3 /3
x=40
Help pls this is late n no links
At a coffee shop, the first 100 customers'
orders were as follows.
Large
Small
Medium
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%
Answer:
Step-by-step explanation:
out of 100 total drinks
find large cold which looks like 8 of those were ordered.
8/100
or 2/25 = .08 or 8% chance
Worth lots of points :) Find the area of the parallelogram below.
23.8 inches squared if im wrong sorry but what i did was i added 7.4 plus 7.4 cause there are two of the same side then did the same with 4.5
Jane found 5 seashells on the beach. Ruby found twice as many as Jane. How many shells did they find together?
Answer:
They found 15 shells
Step-by-step explanation:
First, multiply. 5 × 2 = 10
Then, add. 5 + 10 = 15
Lastly, have a great day!
p and q are complex numbers such that ∣p∣ = 2/5 x + 2 , ∣q∣ = −3/4 x − 1 , and ∣p+q∣ = 2x + 4 .
On what interval must x fall?
a) [−4/3, −60/47]
b) [-2, −4/3]
c) [−2, [infinity])
d) (−[infinity], −4/3)
Please Help!!
Answer: (b)
Step-by-step explanation:
Given
[tex]\left | p\right |=\dfrac{2}{5}x+2[/tex]
[tex]\left | q\right |=\dfrac{-3}{4}x-1[/tex]
[tex]\left | p+q\right |=2x+4[/tex]
for two complex number, [tex]z_1,z_2[/tex]
[tex]\left | z_1+z_2\right |\leq \left | z_1\right |+\left | z_2\right |[/tex]
Apply the above the property
[tex]\Rightarrow 2x+4\leq \dfrac{2}{5}x+2-\dfrac{3}{4}x-1\\\\\Rightarrow 2x+4\leq \dfrac{8x-15x}{20}+1\\\\\Rightarrow 2x+3\leq -\dfrac{7x}{20}\\\Rightarrow x\leq -\dfrac{60}{47}[/tex]
Also, the absolute value of each complex number must be greater than or equal to zero
[tex]\text{Case-1}\\\\\Rightarrow \dfrac{2}{5}x+2\geq 0\\\\\Rightarrow x\geq -5\\\\\text{Case-2}\\\\\Rightarrow -\dfrac{3}{4}x-1\geq 0\\\\\Rightarrow x\leq -\dfrac{4}{3}\\\\\text{Case-3}\\\\\Rightarrow 2x+4\geq 0\\\Rightarrow x\geq -2[/tex]
Taking the intersection of the above values of x, we get
[tex]x\in [-2,-\dfrac{4}{3}][/tex]
Find k and y when x = 1.5, if y varies directly as x and y = -16 when x = 6
Answer:
k = -8/3
y = -4 when x = 3/2
Step-by-step explanation:
-16 = 6k
k = -16/6 or -8/3
y = -8/3(3/2)
y = -4