Corry's conjecture is right, and the volume follows a pattern
The volume of a cube of side length l is:
[tex]V = l^3[/tex]
For the first cube of length 1 in, the volume is:
[tex]V = 1^3[/tex]
[tex]V = 1[/tex]
For the second cube of length 2 in, the volume is:
[tex]V = 2^3[/tex]
[tex]V = 8[/tex]
For the third cube of length 1 in, the volume is:
[tex]V = 3^3[/tex]
[tex]V = 27[/tex]
So, the total volume is:
[tex]Total =1 + 8 + 27[/tex]
[tex]Total =36[/tex]
The volume of a rectangular prism of base lengths 6 in and height 1 in is:
[tex]Volume = 6^2 \times 1[/tex]
[tex]Volume = 36[/tex]
Assume, he adds a cube of side length 4 in, the volume is:
[tex]V = 4^3[/tex]
[tex]V = 64[/tex]
The total volume would be:
[tex]V =36 + 64[/tex]
[tex]V =100[/tex]
The base length of the rectangular prism would be:
[tex]Length =1+2+3+4[/tex]
[tex]Length =10[/tex]
The volume of the rectangular prism would be:
[tex]Volume = 10^2 \times 1[/tex]
[tex]Volume = 100[/tex]
So, the pattern is:
Cubes Volumes
1, 2, 3 36
1, 2, 3,4 100
Corry's conjecture is right, and the volume follows a pattern
Read more about conjectures at:
https://brainly.com/question/4125198
The equation y + 6 = one-third (X minus 9) is written in point-slope form. What is the equation written in slope-intercept form?
A: y = 1/3 x - 3
B: y = 1/3 x + 9
C: y = 1/3 x - 9
D: y = 1/3 x + 3
12. Fancy goldfish x cost $3 each and
common goldfish y cost $1 each. Graph
the function y
20
3x to determine
how many
of each type of goldfish Tasha
can buy for $20.
Answer:
x (Fancy Gold fish) = 3
y (Common goldfish) = 29
Step-by-step explanation:
Fancy goldfish x cost $3 each
common goldfish y cost $1 each
Graph: y = 20 + 3x (I'm hoping this is the correct line equation, please do leave a comment below if it's not)
Thus, we graph it by subtitude either the x or y values. (Or you can use just X = 1,2,3).
Now, to find how many of each type of goldfish Tasha can buy. We subtitude the line equation by either using x = 3 or y = 1
Using either values to solve the equation, we get:
x = 3
y = 29
Hope this helps!
I need help please!!!!
Answer:
MOREEE
Step-by-step explanation:
Graph the line with the equation
y = -1/3x + 4.
Answer:
Answer in the image
Step-by-step explanation:
Paula caught a tarpon with a weight that was 10 times as great as the weight of a permit fish she caught. The total weight of the two fish was 154 pounds.
How much did each fish weigh?
The permit fish weighed _____ pounds.
The tarpon weighed ______ pounds.
Answer:
The weight of permit fish 140 pounds
The weight of Tarpon fish 14 pounds
Step-by-step explanation:
Let the weight of Tarpon fish ve 'x' Then by question weight of permit fish be '10x'
Now by question
x+10x=154 pounds
or,11x=154 pound
or,x=154pound/11
Therefore, x = 14 pounds
Again by question weight of permit fish
for 10x
by substituting value of x we have,
=10×14 pounds
=140 pounds
(02.02 LC)
If g(x) = x2 + 2, find g(3).
O9
O8
O 11
O6
Answer:
8
Step-by-step explanation:
g(x) = 2x + 2
g(3) = 2*3 + 2 Substitute 3 for x.
g(3) = 6 + 2 Multiply.
g(3) = 8 Add.
Answer:
g(3) = 11
Step-by-step explanation:
Substitute x = 3 into g(x) , that is
g(3) = 3² + 2 = 9 + 2 = 11
Is x+2y=6
2x-3y=26
have no solution,one solution, or infinity many solution
Answer:
1
Step-by-step explanation:
x + 2y = 6, multiply by 2 = 2x + 4y = 12
2nd equation: 2x - 3y = 26
It has one solution
Answer: One solution
Step-by-step explanation:
Convert both equations into slope-intercept form:
x+2y=6
2y=6-x
[tex]y=\frac{6-x}{2}[/tex]
Slope = 6/2 = 3
2x-3y=26
y=2x-26/3
Slope = 2/3
Therefore, he system of equations have one solution because their slopes are not equal.
Graph the line y= 2/3x +1
Step-by-step explanation:
Given the linear equation, y = ⅔x + 1, where the slope, m = ⅔, and the y-intercept, (0, 1) where b = 1.
Start at the y-intercept:In order to graph the given linear equation, start by plotting the coordinates of the y-intercept, (0, 1). As we know, the y-intercept is the point on the graph where it crosses the y-axis. It coordinates are (0, b), for which the value of b represents the value of the y-intercept in slope-intercept form, y = mx + b.
Plot other points using the slope:From the y-intercept, (0, 1), we must use the slope, m = ⅔ (rise 2, run 3) to plot the other points on the graph. Continue the process until you have sufficient amount of plotted points on the graph that you could connect a line with.
Attached is a screenshot of the graphed linear equestion, which demonstrates how I plotted the other points on the graph using the "rise/run" techniques" discussed in the previous section of this post.
[tex]\huge\boxed{Hello,\:hope\:you\:are\:having\:a\:wonderful\:day.}[/tex]We are asked to graph the line y=2/3x+1.
2/3 is the slope of this line (Rise/Run)
The rise is how many units we move up; the run is how many units we move left or right.
For this line, 2 is the rise, and 3 is the run.
Now, 1 is the y-intercept. (where the graph touches the y-axis)
First, plot this point: (0,1)
Then, move 2 units up and 3 to the left (Up 2, over 3, up 2, over 3)
When you have a line, take a ruler and connect these points, and you will have the graph of y=2/3x+1.
[tex]\huge\bold{Hope\:it\:helps!}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
[tex]\huge\sf{Good\:luck}[/tex]
How many centimeters equal 128.9 meters?.
*Enter you answer in the box*
|___| cm
what is 2/3 x 9/8 as a fraction in simplest form
Answer: [tex]\frac{3}{4}[/tex]
Have attached the picture for explanation...
The product of the fraction in the simplest form is 3/4
What is a fraction?A fraction is a figure that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.
What is the product of the fraction?2/3 x 9/8 = 18/24 = 3/4
To learn more about multiplication of fractions, please check: https://brainly.com/question/1114498
Resultado de la operación -2-(5-3)+4
Answer:
0
Step-by-step explanation:
-2-(5-3)+4
-2-2+4
-4+4
0
Please help I’ll give brainliest ASAP
Answer:
1 I don't know if those are questions but try if they are try the first one a
13. A new bank customer with $5,000 wants to open a money market account. The bank is
offering a simple interest rate of 1.3%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?
2 POINTS
Answer:
a) 900 dollars
b) 5900 dollars
Step-by-step explanation:
The complete question is
A new bank customer with $5,000 wants to open a money market account. The bank is offering a simple interest rate of 1.8%. a. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?
how to solve improper fractions to mixed numbers with example?
Answer: If it was the other way around I would have helped you
Step-by-step explanation:
e.g.
Two squares are congruent if and only if:
A. any two corresponding angles are
congruent
B. two pairs of corresponding angles are
congruent
C. all four pairs of corresponding angles are
congruent
D. a side of one is congruent to a side of the
other
D) a side of one is congruent to side of the other
Coz in the question it specified that both the shapes are square so obviously all angles are equal (90°)
Now we only need one side of it congruent .
Simplify 7 1/3t−(10 2/3t−6) pls
Answer:
[tex]-\frac{10t}{3}+6[/tex]
Step-by-step explanation:
[tex]7 \frac{1}{3}t-(10 \frac{2}{3} t-6)[/tex]
Convert [tex]7\frac{1}{3}[/tex] to a mixed number
[tex]7\frac{1}{3}=\frac{7\cdot 3+1}{3}[/tex]
[tex]=\frac{22}{3}[/tex]
[tex]\bold{\frac{22}{3}t-\left(10\frac{2}{3}t-6\right)}[/tex]
Convert [tex]10\frac{2}{3}[/tex] into a mixed number
[tex]10\frac{2}{3}=\frac{10\cdot 3+2}{3}[/tex]
[tex]=\frac{32}{3}[/tex]
[tex]\bold{\frac{22}{3}t-\left(\frac{32}{3}t-6\right)}[/tex]
[tex]=\frac{22t}{3}-\frac{32t}{3}+6[/tex]
[tex]\bold{=\frac{-10t}{3}+6}[/tex]
Terms
Follow the PEMDAS order of operation:
P = ParenthesisE = ExponentsM = MultiplicationD = DivisionA = AdditionS = SubtractionYou do these steps in the order for which the equation comes. For example, start with the exponents if there are not any parentheses.
Evaluate the function.
f(x)=-3x^2-20
Find f(−7)
Answer:
Answer: f(-7) = -167
Step-by-step explanation:
[tex]{ \tt{f(x) = - {3x}^{2} - 20}}[/tex]
• When x is -7, f(x) is f(-7):
[tex]{ \tt{f( {}^{ - }7) = {}^{ - } 3( { {}^{ - }7) }^{2} - 20 }} \\ \\ { \tt{f( {}^{ - } 7) = ( {}^{ - } 3 \times 49) - 20}} \\ \\{ \tt{ f( {}^{ - }7) = {}^{ - } 147 - 20 }} \\ \\ { \boxed{ \tt{f( {}^{ - }7) = {}^{ - } 167 }}}[/tex]
Based on the calculations, the evaluation of this function is equal to -167.
Given the following data:
[tex]f(x)=-3x^2-20[/tex]How to evaluate a function.In this exercise, you're required to evaluate the given function. This ultimately implies that, we would substitute the vale of x into the function as follows.
Note: The value of x is equal to -7.
Substituting the given parameter into the function, we have;
[tex]f(-7)=-3(-7)^2-20\\\\f(-7)=-3(49)-20\\\\f(-7)=-147-20[/tex]
f(-7) = -167.
Read more on function here: https://brainly.com/question/10439235
This is for the real ones- find the missing side x. Giving brainliest.
Answer: The answer is X equals 10 2/3.
Explanation: This is a proportion. We see that the right rectangle when turned to the right is proportional to the left rectangle. On the left rectangle, the smaller side is 6 ft, and the larger side is 16 ft. On the right rectangle, the smaller side is 4 ft. 6 ÷ 1.5 = 4, therefore 16 ÷ 1.5 = 10 2/3.
Mr. Jackson likes to play a game in which rolling a 4 on a number cube doubles your score. He wants to know the probability that he will roll a 4 exactly 3 times out of 10 rolls. Define the variables for describing a binomial probability, and identify their values in this experiment.
Answer:
Step-by-step explanation:
Binomial Probability
P(x) = n!/(n-x)!x! * p^x q^(n-x)
P(x) = probability there will be x required outcomes (here x is 3)
n = number of trials (here it is 10)
p = probability of 1 required outcome (getting a 4) on a single roll ( = 1/6).
q = probability of required outcome not occurring on a single roll.
p = 1/6
q = 1 -1/6 = 5/6
n = 10
x = 3
So the required probability
= 10!/ 7!3! (1/6)^3 (5/6)^7
= 0.155.
Tommy is reading at a rate of 4 pages every 16 minutes. Write an equation that shows Tommy’s reading rate in pages per minute.
Answer:
0.25 pages per minute
Step-by-step explanation:
4 pages per 16 mins.
4/16 = 0.25
0.25 pages per minute
its a word equation, hopefully this helped!
If we express $3x^2 - 6x - 2$ in the form $a(x - h)^2 + k$, then what is $a + h + k$?
If we express [tex]3x^2-6x-2[/tex] in the form [tex]a(x-h)^2+k[/tex], then a + h + k = -1
The given quadratic expression is:
[tex]3x^2-6x-2[/tex]
To express [tex]3x^2-6x-2[/tex] in the form [tex]a(x-h)^2+k[/tex], follow the steps below
Rewrite [tex]3x^2-6x-2[/tex] as [tex]3x^2-6x+3-5[/tex]
Factorize common terms
[tex]3(x^2-2x+1)-5[/tex]
This can be further simplified as:
[tex]3(x-1)^2-5[/tex]
Therefore, the vertex form of the equation [tex]3x^2-6x-2[/tex] is [tex]3(x-1)^2-5[/tex]
Compare [tex]3(x-1)^2-5[/tex] with [tex]a(x-h)^2+k[/tex]
a = 3, h = 1, k = -5
a + h + k = 3 + 1 - 5
a + h + k = -1
Therefore if we express [tex]3x^2-6x-2[/tex] in the form [tex]a(x-h)^2+k[/tex], then a + h + k = -1
Learn more on vertex form of a quadratic equation here: https://brainly.com/question/17987697
write the inequality this number line represents "14-15-16-17-18-19-20-21-22-23-24"
PLEASE HELP!!
Answer:
x≤19
Step-by-step explanation:
because its everything to the left of 19 including 19
Answer:
Interval notation: (- ∞, 19]
Inequality notation: -∞ < x ≤ 19
Step-by-step explanation:
Given the inequality graphed on a number line, where there is a closed circle on 19:
A closed circle represents the endpoint as part of the solution. Moreover, the direction of the arrow on the number line points toward the left, which implies that all of the values that are less than or equal to 19 are included on the solution.
Therefore, the inequality represented on the number line is:
Interval notation: (- ∞, 19]
Inequality notation: -∞ < x ≤ 19
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.
Fill in Line 4 and give the property.
Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms
Line 4:
please helpp
Answer:
Subtract 2x from each side, Subtraction Property
Step-by-step explanation:
find the domain of y= 2/3 square root of x+5-4
Please help I don't understand i'm in the lowest class!
Answer:
Step-by-step explanation:
A supervisor finds the mean number of miles that the employees in a department live from work. He finds x Overbar = 29 and s = 3. 6. Which mileage is within a z-score of 1. 5? 21 miles 24 miles 36 miles 41 miles.
The correct option is (B).24 miles.
Z-score is basically another term for the specific number of standard deviations. I suppose we can assume normality here, even though it isn't given, so I'd make a rough sketch.
Otherwise, just use the basic formula:
[tex]z_{score} =\dfrac{x-\mu}{\sigma}[/tex]
Given that,
[tex]\bar{x}=29[/tex] (statistic for a mean) and [tex]s=3.6[/tex] (statistic for a standard deviation).
Since z-score must be Less than 1.5, So
[tex]1.5> \dfrac{x-29}{3.6}\\[/tex]
[tex]1.5 \times3.6 > x-29\\5.4+29> x\\34.4> x[/tex]
I just used normal cdf and got [tex]23.6<x<34.4[/tex].
Hence the correct option is (B).24 miles.
For more details on z score follow the link:
https://brainly.com/question/13299273
Answer:
B
Step-by-step explanation:
Correcct on edge22
Kitty Foods sells their cat food in 3 3/4 lb bags, while Cat Caterers sells 2 1/8 lb bags. How much bigger are the bags Kitty Food sells than those sold by Cat Caterers? Reduce your answer to lowest terms.
A. 1/2 lb
B. 5/8 lb
C. 1 5/8 lbs
D. 1 1/2 lbs
Answer: The answer for the question is: 1 5/8
Step-by-step explanation:
What is the supplement of a 30° angle?
Answer:
150˚
Step-by-step explanation:
To find the supplement of a 30˚ angle, we need to know what an supplement in geometry is.
A supplement is when two angles add up that results in 180
So what value adds to 30˚ will get 180?
To find out that we just subtract 180 with 30
Which is 150
Thus the Supplement of a 30˚ angle is 150˚
Hope this helps!
A music store is having a clearance sale. All items are discounted by 15%. What is the sale price of a radio that regularly costs $20?
Answer:
17$
Step-by-step explanation:
Answer:
$17
Step-by-step explanation:
Since the discount is 15%, and 100% would be the full price, 100 - 15 = 85. You are paying 85% of the price. 20 * .85 = 17.
Derek and Jeannine buy a car for a total price, including tax, of $19,795. The price of the car was $18,500. What is the tax rate.
Answer:1.07
Step-by-step explanation: