A block of concrete is 1m long, 50cm wild and 4cm thick. 1.calculate the volume of the block in cm3 .2.if 1cm has a mass of 2.7g, find the mass of the block in kg
9514 1404 393
Answer:
20,000 cm³54 kgStep-by-step explanation:
1 m is 100 cm, so the volume is ...
V = LWH
V = (100 cm)(50 cm)(4 cm) = 20,000 cm³ . . . volume
__
The mass is ...
(20,000 cm³)(2.7 g/cm³) = 54,000 g = 54 kg
The mass of the block is 54 kg.
Round off 54951 to the nearest 10,000.
Answer 50,000
Step-by-step explanation:
Here is the function for the number of zombies, N, after t years, with the negative exponent expressed using the fraction ½:
N(t) = 300 • 0.5t/8
What is the half-life for the zombie population?
Answer:
The half-life for the zombie population is of 8 years.
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]N(t) = N(0)(1-r)^t[/tex]
In which N(0) is the initial value and the part [tex](1-r)^t[/tex] is related to the decay.
In this question:
[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]
Thus N(0) = 300, that is, initial population of 300.
What is the half-life for the zombie population?
This is t for which N(t) = 0.5*300 = 150. So
[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]
[tex]150 = 300(0.5)^{\frac{t}{8}}[/tex]
[tex](0.5)^{\frac{t}{8}} = \frac{150}{300}[/tex]
[tex](0.5)^{\frac{t}{8}} = 0.5[/tex]
[tex](0.5)^{\frac{t}{8}} = (0.5)^1[/tex]
Equal exponents, so:
[tex]\frac{t}{8} = 1[/tex]
[tex]t = 8[/tex]
The half-life for the zombie population is of 8 years.
Which graph best represents an exponential function?
• A.
B.
C.
You pick a word at random from the set of all words of length six of letters of the alphabet with no repeated letters. What is the probability that the word begins and ends with a vowel
Answer: [tex]\dfrac{2}{65}[/tex]
Step-by-step explanation:
Given
There is a six letter word with no repeated letters
Number of ways of arranging 6 letters out of 26 letters is [tex]^{26}P_6[/tex]
For the 6 letter word with vowels in the beginning and the end can be formed by selecting 2 vowels out of 5 available.
First place has 5 choices to fill and the last place left with 4 choices to fill
Remaining 4 places can be filled by [tex]^{24}P_4[/tex] ways
So, the required probability is given by
[tex]\Rightarrow \dfrac{5\times ^{24}P_4\times 4}{^{26}P_6}=\dfrac{2}{65}[/tex]
PLS HELP ASAP!! need the answer
Answer:
60 degrees
Step-by-step explanation:
The area of a rectangle is given by 3x3+14x2−23x+6. The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle.
Answer:
is that 3x or mutiply sign
Answer:
3x^2-4x+1
Step-by-step explanation:
1. Which of these is an infinite arithmetic sequence?
O {691, 632, 573, 514}
O {232, 354, 476, 598, ...}
O {845, 169, 33.8, 6.76, ...}
O {724, -362, 181, -90.5}
Answer: Choice B
Each time we're adding 122 to each term to get the next term
232+122 = 354354+122 = 476476+122 = 598This goes on forever because of the three dots, hence the set is infinitely large.
We say that the common difference is 122. Subtracting any two adjacent terms gets us this value. Eg: 354-232 = 122.
Find the value of x for the right triangle. Round your answer to the nearest hundredth.
450
19
Answer:
450 foe
Step-by-step explanation:
Given the quadratic equation X2 - 5x + 10 = 0
Which of the following gives the value of the discriminant along with the
proper interpretation of it
a. discriminant = 105 there are two solutions
b. discriminant = 105 there are no solutions
c. discriminant = -15 there are two solutions
d. discriminant = -15 there are no solutions
Answer:
b
Step-by-step explanation:
Is it possible to design a table
where no two legs have the same length? Assume
that the endpoints of the legs must all lie in the same
plane. Include a diagram as part of your answer.
How much would you have to deposit today to have an accumulated amount of 20,000 in 20 years if yearly interest is 4.75% compounded continuously?
match the prefixes with the metric unit
Answer:
kilo =1*10^3 grams
nano=one millionth
micro=0.01 litres
centi=0.0000000001 meters
Step-by-step explanation:
Which expression represents the following calculation?
Add 3 to the quotient of 8 divided by 6.
(8 + 6) + 3
(8 + 6) = 3
(8 + 3) = 6
6+ (3 * 8)
Answer:
[tex](8 \div 6) + 3[/tex]
Step-by-step explanation:
Required
The equivalent expression
To do this, we take it one step at a time.
First, the quotient of 8 divided by 6;
This means 8 divided by 6: [tex](8 \div 6)[/tex]
3 added to it;
The expression becomes: [tex](8 \div 6) + 3[/tex]
Find the value of x that will make A||B
5x +.20
A-
7
B
3x + 60
x = [?]
Enter
Answer:
x=20
Step-by-step explanation:
Both Angles have the same value, as they are opposite angels.
Set your formula up as
5x+20=3x+60
5x=3x+60-20
2x=40
x=40/2
x=20
Suppose N in L(V) is nilpotent. Prove that the minimal polynomial fo N is z^m+1, where m is the length of the longest consecutive strong of 1st that appears on teh line directly aoce the diagonal in teh matrix of N with respect to any jordan basis for N.
Answer: your question is poorly written attached below is the complete and well written question
answer : The minimal polynomial has degree m + 1 hence Z^m+1
Step-by-step explanation:
Given that
N ∈ L(V) is nilpotent
attached below is the required prove
How many 1/2 unit cubes does it take to fill the prism?
Need help with this math question 15 points
What function equation for the input/output table

Answer: The answer would be y = x + 8
Step-by-step explanation:
A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5 cm. Find the area of the kite.
Answer:
The area of the kite is 27.6 cm²
Step-by-step explanation:
Given;
dimension of the equilateral triangle, = 6 cm
dimension of the isosceles triangle = 5 cm
Please check the image uploaded for a detailed solution.
1/4 x 1/6 x 1/12= What fraction did Phil eat of the pizza
Answer:
[tex] \frac{1}{288} [/tex]
Step-by-step explanation:
the 1 will always stay the same because all of them are 1's
4×6=24
24×12=288
Answer:
garage bozo
Step-by-step explanation:
Randy wants to save $21 to buy a basketball he saved $7 each week which array represents the number of weeks randy needs to save $21
Answer:
he will have to save $7 for 3 weeks to get $21
Step-by-step explanation:
In the triangle below..
Answer:
44
Step-by-step explanation:
Step 1: Create an equation to solve for ∠Z
Recall that trig ratio tangent = Opposite over Adjacent
Opposite of ∠Z = 75 and adjacent of ∠Z = 79
Hence, [tex]tan(z)=\frac{75}{79}[/tex]
We now solve for z
Step 1: Multiply each side by the inverse of tan ( tan ) ^-^1
[tex]tan(z)*tan^-^1=z\\tan^-^1(\frac{75}{79} )=43.51213147[/tex]
We're left with z = 43.51213147
Our last step is to round to the nearest degree,
We get that ∠Z = 44
The initial number of bacteria cells in a culture is 1000, and this number increases by 6% every hour. Approximately how many bacteria would be in the culture after 4 hours?
Answer:
1,264
Step-by-step explanation:
a = 1000(1.06)^4
a = 1,262.47696
1,264
I need this by Friday please !
Find a degree measure of each angle in the triangle!
Answer:
B=19
C=42
D=119
Step-by-step explanation:
First, fine the value of x, than use that in each angle to find the measurement.
All angles together in the triangle equal 180
Set your formula up as
180=(x+2)+(3x-9)+7x
180=x+3x+7x+2-9
180-2+9=11x
187=11x
187/11=x
17=x
Angle B
B=x+2
B=17+2
B=19
Angle C
C=3x-9
C=3*17-9
C=42
Angle D
D=7x
D=7*17
D=119
Now add all 3 tougher to check your work
19+42+119 = 180
Determine the value of angle V in the picture below.
Answer:
<V = 40
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
20x = 60+7x+5
Combine like terms
20x = 7x+65
Subtract 7x from each side
20x -7x = 7x+65-7x
13x = 65
Divide each side by 13
13x/13 = 65/13
x = 5
<v = 7x+5 = 7*5+5 = 35+5 = 40
How would you write5 x 5 x 5 x 5 as a numerical expression using exponential notation ?
Using the exponential notation, the correct expression which represents 5 × 5 × 5 × 5 is 5⁴
Given tha expression :
5 × 5 × 5 × 5Number of 5's = 4
The number of 5's can be used as the power of the base, since the base is common.
Base = 5
Hence,
5 × 5 × 5 × 5 = 5⁴
Learn more : https://brainly.com/question/25629067
find the HCF of 84, 120 and 360
Answer:
12
Step-by-step explanation:
if x is directly proportional to y and x= 4.5 when y = 3 find y when x = 24
Answer:
Step-by-step explanation:
x/y=y/x
4.5/3=24/y
do cross multiplication
24*3=y*4.5
72=4.5y
72/4.5=y
16=y
Find the area of the circle
Pls help quick
Answer:
153.86.
Step-by-step explanation:
Formula for area of a circle: A= Pi R (R is radius) squared. First fill in the numbers: 3.14x7^2 Then Solve for the squared: 7^2=49, then finally multiply 49x3.14 which gets you to 153.86.