Complete question:
A cube has a side length of 1/3 inch.It would take _ blocks with a side length of 1/6 inch to fill the cube.
B)It would take _ blocks with a side length of 1/9 inch to fill the cube.
Answer:
a) 8 blocks
b) 27 blocks
Step-by-step explanation:
Here we need to find the volume of the cube and volume of the block.
To find volume of the cube, let's use the formula :
V = a³
Here a = [tex] \frac{1}{3}[/tex]
Therefore,
V = [tex] (\frac{1}{3})^3[/tex]
V = = [tex] \frac{1}{27}[/tex]
Volume of the cube is [tex] \frac{1}{27}[/tex]
To find volume of the block, let's use the formula:
V = a³
V = [tex] (\frac{1}{6})^3[/tex]
V = [tex] \frac{1}{216} [/tex]
To find the number of blocks, let's divide the volume of block from the volume of cube.
Therefore,
= [tex]\frac{\frac{1}{27}}{\frac{1}{216}}[/tex]
[tex] = \frac{1}{27} * 216 [/tex]
= 8
It would take 8 blocks with a side length of 1/6 inch to fill the cube.
B) Here we also need to find the volume of the cube and volume of the block.
To find volume of the cube, let's use the formula :
V = a³
Here a = [tex] \frac{1}{3}[/tex]
Therefore,
V = [tex] (\frac{1}{3})^3[/tex]
V = = [tex] \frac{1}{27}[/tex]
Volume of the cube is [tex] \frac{1}{27}[/tex]
To find volume of the block, let's use the formula:
V = a³
V = [tex](\frac{1}{9})^3[/tex]
V = [tex] \frac{1}{729} [/tex]
To find the number of blocks, let's divide the volume of block from the volume of cube.
Therefore,
= [tex] \frac{\frac{1}{27}}{\frac{1}{729}}[/tex]
[tex] = \frac{1}{27} * 729 [/tex]
= 27
It would take 27 blocks with a side length of 1/9 inch to fill the cube.
Slove for x 2x+-3=-23
Answer:
x = -10
Step-by-step explanation:
First you have to isolate x
then you have to add 3 on the other side.
so yeahh!!
Can you please help with these algebra problems, having a mind blank right now.
Answer:
1. x= -1/2
3. a= 11
5.y= -14
7.x= 8
9.n=4
Determine between which consecutive integers the real zeros of f(x) = x^3 - 2 are located.
a. between 1&2
c. between 0&1
b. between -1&0
d. between -2&-1
Answer:
Therefore the zeros of this function are between 1 and 2. So the correct answer is "a".
Step-by-step explanation:
In order to find the zeros of a function we need to find at which values for "x" make f(x) equal to zero. Therefore we have:
[tex]f(x) = x^3 - 2 \\0 = x^3 - 2\\x^3 - 2 = 0\\x^3 = 2\\x = \sqrt[3]{2} = 1.2599[/tex]
Therefore the zeros of this function are between 1 and 2. So the correct answer is "a".
A punch recipe calls for a lemonade to soda ratio of
3:5. If there are 120 gallons of punch, how many
gallons of lemonade were used?
Answer:
45 gallons
Step-by-step explanation:
You have to do 3x (lemonade)+5x (soda)=120
8x=120
x=15
now multiply the 15 with the 3 which will get you to 45
i really hope this helped!!
2⋅10^ 4 −7 ^3 =? First person to solve gets 10 Points and will also be rewarding branliest answer (Btw already know this answer just giving points and being nice)
Answer:
19657
Step-by-step explanation:
[tex]2\cdot 10^4 - 7^3=20000-343=19657[/tex]
Hope this helps!
I don’t understand I’m struggling with it
Answer:
(B)
Step-by-step explanation:
If you count, there'd be 16 blue chairs.
Therefore, B
Answer:
The answer is b
Step-by-step explanation:
When there is only 2 squares it wil be 2(4) (for 2 squares) and then 2(2) for the single square lw
So adding in another square will make it 2(6)+2(2)
=16 chairs
below are the distances from jamar house to each of the the four restaurant in his town in kilometer 0.4,0.2,0.4,0.6 find the absolute deviation (MAD) of the data set
Answer:
[tex] \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4[/tex]
Now we can calculate the absolute deviations from the mean for each value:
|0.4-0.4|=0
|0.2-0.4|=0.2
|0.4-0.4|=0
|0.6-0.4|=0.2
And adding these 4 values and dividing by 4we got the MAD on this case:
[tex]MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1[/tex]
Step-by-step explanation:
We have the following dataset given:
0.4,0.2,0.4,0.6
In order to calculate the MAD we need to calculate the sample mean first with this formula:
[tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]
Replacing we got:
[tex] \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4[/tex]
Now we can calculate the absolute deviations from the mean for each value:
|0.4-0.4|=0
|0.2-0.4|=0.2
|0.4-0.4|=0
|0.6-0.4|=0.2
And adding these 4 values and dividing by 4we got the MAD on this case:
[tex]MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1[/tex]
Answer:
0.1
Step-by-step explanation:
Khan Academy
Please Hurry! What is the solution to log2_(9x)-log2_3=3?
Answer:
[tex] log_{2}(9x) - log_{2}(3) = 3 \\ 3 = log_{2}(8) or log_{2}( {2}^{3} ) \\ log_{2}( \frac{9x}{3} ) = log_{2}(8) \\ \frac{9x}{3} = 8 \\ 9x = 8 \times 3 \\ 9x = 24 \\ x = \frac{24}{9} \\ x = \frac{8}{3} \\ x = 2 \times \frac{2}{3} [/tex]
Answer:
[tex]\log _2\left(9x\right)-\log _2\left(3\right)=3 : x = \frac{8}{3}[/tex]
Decimal:
[tex]x = 2.66666...[/tex]
Step-by-step explanation:
[tex]\log _2\left(9x\right)-\log _2\left(3\right)=3[/tex]
Add [tex]log _2\left(3)[/tex] to both sides:
[tex]\log _2\left(9x\right)-\log _2\left(3\right)+\log _2\left(3\right)=3+\log _2\left(3\right)[/tex]
Simplify:
[tex]\log _2\left(9x\right)=3+\log _2\left(3\right)[/tex]
Use the logarithmic definition: If [tex]\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c[/tex]
[tex]\log _2\left(9x\right)=3+\log _2\left(3\right)\quad \Rightarrow \quad \:9x=2^{3+\log _2\left(3\right)}[/tex]
[tex]9x=2^{3+\log _2\left(3\right)}[/tex]
Expand [tex]2^{3+\log _2\left(3\right)} : 24[/tex]
[tex]9x=24[/tex]
Solve: [tex]9x=24 : x = \frac{8}{3}[/tex]
[tex]x = \frac{8}{3}[/tex]
Verify solutions: [tex]x = \frac{8}{3}[/tex] : True
The solution is:
[tex]x=\frac{8}{3}[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
What is the missing label
Answer:9/12
Step-by-step explanation:
Answer:
3/12 or 1/4
Step-by-step explanation:
En un cajón hay 10 pares de calcetines negros y 6 pares de calcetines blancos. Si se extraen 2 pares de calcetines aleatoriamente, que probabilidad hay
Answer:
Formas de elegir cualquier 2 calcetines de 24 calcetines a 24C2
Formas de elegir 2 calcetines NEGROS de 12 calcetines NEGROS 12C2
Probabilidad de recoger 2 calcetines NEGROS (P1) 12C2 / 24C2 a 66/276
Probabilidad de recoger 2 calcetines BLANCOS (P2) 12C2 / 24C2 a 66/276
Probabilidad de elegir los 2 calcetines del mismo color: P1+P2 a 66/276 + 66/276 a 11/23.
esto le dará una pista
Step-by-step explanation:
Evaluate 16 to the power of 1/2 x 2 to the power of -3
Give your answer as a fraction in its simplest form.
If you get it right then i will give you 5 stars 1 thank you and mark you Brainallist
Answer:
1/2
Step-by-step explanation:
We want to evaluate 16 to the power of 1/2 multiplied by 2 to the power of -3. That is:
[tex]16 ^{1/2} * 2^{-3}[/tex]
Simplifying:
=> [tex]4 * \frac{1}{2^3}[/tex]
[tex]4 * \frac{1}{8} = \frac{1}{2}[/tex]
The answer is 1/2.
Given f(x)=x^2, after performing the following transformations: shift upward 74 units and shift 39 units to the right, the new function g(x)=
Answer:
g(x) = (x -39)^2 +74
Step-by-step explanation:
Given f(x)=x^2, after performing the following transformations: shift upward 74 units and shift 39 units to the right, the new function g(x) = (x -39)^2 +74
What is a transformation?
In mathematics, a transformation is a feature f, typically with a few geometrical underpinnings, that maps a fixed X to itself, i.e. f: X → X.
What are the 4 transformations in maths?
Translation, rotation, reflectiondilation.
Learn more about transformations here https://brainly.com/question/4289712
#SPJ2
In ΔABC, the measure of ∠C=90°, the measure of ∠A=47°, and BC = 3.5 feet. Find the length of AB to the nearest tenth of a foot.
Answer:
AB = 4.9 ft
Step-by-step explanation:
Here, we are to calculate the length of AB.
Firstly, please check the diagram of the triangle we have in the attachment.
From there we can see that what we are asked to calculate is the length of the hypotenuse(AB) while what we have is the length of the opposite and the angle.
Mathematically, when we have the opposite and the hypotenuse, the trigonometric ratio that links both is the sine
sine = opposite/hypotenuse
Sin 47 = 3.5/hypotenuse
hypotenuse = 3.5/sin 47
hypotenuse = 4.7856
To the nearest tenth of a foot AB = 4.8 ft
-32=-7x-8y slope intercept form
Answer:
y = [tex]-\frac{7}{8}[/tex]x + 4
Step-by-step explanation:
-32 = -7x - 8y
Slope-intercept: y=mx+b
First, we can add 8y on both sides so we can get u by itself.
8y - 32 = -7x
Now, we can add 32 to both sides.
8y = -7x + 32
Now, we divide 8 on both sides of the equation so we can get y by itself just like in the slope-intercept formula.
y = [tex]\frac{-7}{8}[/tex]x + [tex]\frac{32}{8}[/tex]
Lastly, we can simplify and you will have your answer.
y = [tex]-\frac{7}{8}[/tex]x + 4
Mike withdrew $60 from his bank account three times what is the change in Mike's account balance after or three withdrawals
Answer:
-$180
After 3 withdrawals of $60:
-60 × 3 --- 60 less dollars every one of 3 withdrawals
-180 --- simplify
-$180
hope this helps and brainliest?
Will mark as brainliest if correct
Answer :10X
Step-by-step explanation:
Answer:
x = 10
12 logx= 12
12 x logx = 12
12 x log10 = 12
12 x 1 = 12
Help me plzzzzzzz!!!!
Answer:
x =5
y = 35
Step-by-step explanation:
y = 7x
y = 3x+20
Since they both equal y, we can set them equal to each other
7x = 3x+20
Subtract 3x from each side
7x-3x = 3x+20-3x
4x= 20
Divide each side by 4
4x/4 =20/4
x = 5
Now find y
y = 7x
y = 7(5)
y = 35
The space capsule is on its way back to earth after deploying its first two parachutes falls at a speed of 100 mph what is the space capsules velocity?
Answer:
Step-by-step explanation:
Velocity is the speed of an object in a definite direction. In mechanics, velocity is a vector quantity. It requires magnitude and direction to make any sense. Velocities are expressed per unit time.
The SI unit of time is the second.
Now, suppose we need the velocity in feet per second. A simple calculation will help:
feet per second = miles per hour × 1.466667 [ in other words, one mile per hour equals 1.466667 feet per second]
For a space capsule moving at 80 miles per hour, the velocity is given by
= 100 × 1.466667
= 146.67 ft/s [feet per second]
Alculate the amount of heat transferred when 710 grams of water warms from an initial temperature of 4.0 ºC to a final temperature of 25.0 ºC. The specific heat capacity of liquid water is 4.184 J/g ºC. Please express you answer as a number in units of kJ, and be careful about the sign (is the answer a positive or negative number?) since that shows the direction of heat flow.
Answer:
The Quantity of heat require is [tex]0.062kJ[/tex]
Step-by-step explanation:
This problem bothers on the topic of heat capacity.
Given data
mass of water m= [tex]710 grams[/tex]
converting from grams to kg we have =[tex]\frac{710}{1000} = 0.71kg[/tex]
initial temperature T1= 4°C
final temperature T2= 25°C
heat capacity of water = [tex]4.184 J/g[/tex]
The expression for the quantity of heat required is given has
[tex]Q= mc(T2-T1)[/tex]
substituting our given data we have
[tex]Q= 0.71*4.184*(25-4)\\Q= 2.97*(21)\\Q= 62.38J\\[/tex]
In kilograms we have to divide by [tex]1000[/tex]
[tex]Q= \frac{62.38}{1000} = 0.062kJ[/tex]
HELP PLEASE thank you due todayyy
Answer:
18.85 feet
Step-by-step explanation:
C = 2 x 3.14 x 6/2
Answer:
C≈18.84
Step-by-step explanation:
Formula is 2πr
D = 6 ft
Radius is D/2 = 3
2π3 = 18.84955592153875943077586029967701730518301639625063492584
After leaving his house, Milton drove 25 minutes to take his oldest son to the middle school and then drove 15 minutes to take his two younger daughters to the elementary school. Next, Milton drove 35 minutes to work. If Milton arrived at work at 9:15 a.M., what time did he leave his house?
Answer:
8 o-clock
Step-by-step explanation:
All of the following expressions are equivalent except _____.
1.)x - 7
2.)7 + (- x)
3.)7 - x
4.)- x + 7
find the area of each sector. Use the 3.14 as the value of pi. Round your answer to the nearest tenth. Label unit. part 3
Answer: 8.4 m²
Step-by-step explanation:
[tex]\text{The Area of a sector}=\pi r^2\bigg(\dfrac{\theta}{360^o}\bigg)\\\\\\=\pi(4)^2\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\=\dfrac{16\pi}{6}\\\\\\= \dfrac{8}{3}\pi\\\\\\= \large\boxed{8.4}[/tex]
Which statements are true for the functions g(x) = x^2 and h(x) =-x^2? Check all that apply
Answer:
h(x) is the NEGATIVE of g(x)
Step-by-step explanation:
Where are the statements? Please share them next time.
h(x) is the NEGATIVE of g(x): h(x) = -x^2 = -g(x)
Help! I don’t understand this and I need help! “What is the length of the missing side?” Also D was cut off but it says 90
Answer:
The missing side = 30 cm
Step-by-step explanation:
Pythagorean Theorem
a^2 + b^2 = c^2
40^2 + b^2 = 50^2
1600 + b^2 = 2500
-1600 -1600
b^2=900
square root of both sides
b=30 cm
range and interquartile question
15 POINTS + BRAINLIEST
Answer:
Range = 16
Interquartile range 6
Step-by-step explanation:
Range: largest number minus smallest number
Range = 18 - 2 = 16
Interquartile range : right line on the box minus left line on the box
(75% point - 25% point) = 12 - 6 = 6
Answer:
Range = 16
Interquartile range 6
Step-by-step explanation:
Range: largest number minus smallest number
Range = 18 - 2 = 16
Interquartile range : right line on the box minus left line on the box
(75% point - 25% point) = 12 - 6 = 6!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Find the area of the trapezoid.
The trapezoid has an area of
m2.
4 m
1
16m
-
-
8 m
Answer:
The area of trapezoid is 36 [tex]m^2[/tex].
Step-by-step explanation:
To find the area of a trapezoid, you need this formula:
[tex]A = \frac{(a+b)}{2} \times h[/tex]
[tex]a =[/tex] long base
[tex]b =[/tex]short base
[tex]h =[/tex] altitude (height)
-Use the following measures of trapezoid for the formula:
[tex]A = \frac{(8+4)}{2} \times 6[/tex]
-Then, you solve the formula:
[tex]A = \frac{(8+4)}{2} \times 6[/tex]
[tex]A = \frac{12}{2} \times 6[/tex]
[tex]A = 6 \times 6[/tex]
[tex]A = 36[/tex]
So, therefore, the area of a trapezoid is 36 [tex]m^2[/tex].
Answer:
first one right
Step-by-step explanation:
Is there an outlier in this data set: 26, 30, 22, 15, 51, 21, 24, 28, 32, 24, 25, 18, 35? *
Yes
No
Answer:
Yes, 51 is an outlier.
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
A study in which neither the subjects nor the experimenters know which
subjects have received a placebo is called a ______ experiment.
A. Control
B. double-blind
C. Response-variable
D. Biased
Answer:
B. double-blind
Step-by-step explanation:
Answer:
AB
Step-by-step explanation:
- Ms. McNeil buys 2.4 gallons of gasoline. The total cost is $7.56. The
equation 2.4p = 7.56 can be used to find the price p in dollars of
one gallon of gasoline. What is the price of one gallon of gasoline?
Answer:
The price of one gallon of gasoline is $3.15
Step-by-step explanation:
If the lady buys 2.4 gallons of gasoline for a total of $7.56, then as the problem suggests, one can find the unknown price of gasoline per gallon (p) by solving the equation for the unknown "p":
2.4 p = 7.56
then divide both sides by 2.4 to isolate the unknown "" on one side of the equal sign:
p = 7.56/2.4
p = $3.15
so this is the price per gallon of gasoline.