As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.
How many squares should he use for the sixth stage?
Answer:
21 squares
Step-by-step explanation:
1 = 1
2 = 3
3 = 6
The pattern follows squares use in the previous stage + new stage = squares use the new stage
Squares used in stage 2 = Squares used in stage 1 + stage 2
= 1 + 2
= 3 squares
Squares used in stage 3 = Squares used in stage 2 + stage 3
= 3 + 3
= 6 squares
Squares used in stage 4 = Squares used in stage 3 + stage 4
= 6 + 4
= 10 squares
Squares used in stage 5 = Squares used in stage 4 + stage 5
= 10 + 5
= 15 squares
Squares used in stage 6 = Squares used in stage 5 + stage 6
= 15 + 6
= 21 squares
4 = 10
5 = 15
6 = 21
Julie had $150. She needed to spend $3.00 for lunch every day. How much money will she have left after 20 days? Please help it's hard
Answer:
$90 left after 20 days
Step-by-step explanation:
She starts out with 150, right?
She spends $3 each day x 20 days = 60
150 - 60 = 90
Hope this helps! :')
Answer:
multiply 3.00 times 20 and you'll get 60.00 subtract that from 150 and your answer is 90.00 dollars
A state makes license plates with five letters followed by one number with no repetitions of the letters permitted. How many different possibilities are there
Answer:
78936000 possible selections
Step-by-step explanation:
Given
Letters = 5
Digits = 1
Required
Possible number of selection.
Since the letters can't be repeated and there are 26 alphabets.
The first letter can be any of 26
The second = 25
The third = 24
The fourth = 23
The fifth = 22
The digit can be any of 0 - 9 (10 digits).
So.
The possible number of selection is.
Number = 26 * 25 * 24 * 23 * 22 * 10
Number = 78936000
3x+2=7x+6 what is x
Answer: -1
1. Deduct 7x.
3x+2−7x=7x+6−7x
−4x+2=6
2. Deduct both sides by 2.
−4x+2−2=6−2
−4x =4
3. Divide by 4.
-4 ÷ 4 = -1
Answer. = -1
Step-by-step explanation:
"An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $20.3 for a random sample of 2333 people. Assume the population standard deviation is known to be $11.3. Construct the 98% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place."
Answer: ($19.8, $20.8)
Step-by-step explanation:
Confidence interval for mean : [tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\overline{x}[/tex] = Sample mean, n= sample size, [tex]\sigma[/tex] = population standard deviation, z* = two tailed critical z-value.
Given: [tex]\overline{x}[/tex] = $20.3
n= 2333
[tex]\sigma[/tex] = $11.3
For 98% confidence, z* = 2.326
Then, the98% confidence interval for population mean will be:
[tex]20.3\pm (2.326)\dfrac{11.3}{\sqrt{2333}}\\\\=20.3\pm (2.326)\dfrac{11.3}{48.3011387}\\\\=20.3\pm (0.544165224825)\\\\\approx 20.3\pm 0.5\\\\=(20.3-0.5,\ 20.3+0.5)\\\\=(19.8,20.8)[/tex]
Hence, the 98% confidence interval for the mean per capita income in thousands of dollars = (19.8, 20.8)
Helppp me plssss! ASAP
Answer:
140 ft.
Step-by-step explanation:
first find the area of the rectangle
16 x 8 = 128
Area: 128
then find the area of the triangle
Base: 4
Height: 6
Area: 12
Then all u need to do is add
12 + 128 = 140
What is the value of x?
Answer:
Step-by-step explanation:
where are the other variables?
The measures of two supplementary angles are in the ratio 1:3. What is the measure, in degrees, of the larger angle?
Sum of two angles that are supplementary = 180°
Ratios in which they have been given their measurement = 1 : 3
Total number of parts = 1 + 3 = 4
Each part = 180÷4 =
[tex]Each \: part = \: \frac{180}{4} [/tex]
Each part = 45°
Measure of smaller angle = 45 × 1 = 45°
[tex]Measure \: of \ \: the \: smaller \: angle \: = \: 45 \: × \: 1 \: = \: 45°[/tex]
[tex]Measure \: of \: \: the \: larger \: angle \: = \: 3 \: × \: 45 \: = \: 145° \: [/tex]
∴ The measure of the larger angle in degrees = 145° .
Which is the best description for the graph?
Answer:
decreasing, then increasing. the parabola decreases as it approaches the vertex, then increases afterward
4
5
÷ 1
10
= ?
To solve this problem, ask the question
The quotient is .
Answer:
4.5
Step-by-step explanation:
I did 45/1 I and it's 45 then 45/10
If n is the least two consecutive odd integers, which of the following represents the sum of the two integer?
Answer:2n+2
Step-by-step explanation:
a bag contains 12 blue marbles and 8 blue what is the ratio of blue to red
Answer:12:8 or 12 to 8 or u could do it in fraction form
What is the unit rate for meters per second if a car travels 414 meters in 23 seconds?
Answer:
18 meters per second
Step-by-step explanation:
414/23=18
Not trying to be rude but you should know how to do this with or without a calculator
Points that do not lie in the same plane are called________points
Answer:
non - collinear points
Step-by-step explanation:
points that dont lie on the same line
Can y’all help me on this one
What’s the answer?
Answer:
x = 2
Step-by-step explanation:
First translate the image into an equation using the key. Once you do that, your equation should look like this:
(x + x + x) + (-1 + -1 + -1 + -1 + -1) = (-x + -x) + (1 + 1 + 1 + 1 + 1)
________________________________
3x - 5 = -2x + 5
(given)
________________________________
3x - 5 = -2x + 5
+5. +5
(addition property of equality)
*cancel out -5 on the left hand side, and isolate it from x by adding +5 on each side*
__________________________
3x = -2x + 10
+2x +2x
(addition property of equality)
*cancel out the negative 2x, and isolate it from the constant term on the right hand side by adding 2x on both sides*
________________________________
5x = 10
÷5. ÷5
(division property of equality)
*divide by 5(GCF) on both sides to isolate
x by itself*
________________________________
x = 2
________________________________
If you want to test this solution, substitute this back into the equation.
x = 2 → 3x - 5 = -2x + 5. 3(2) - 5 = -2(2) + 5 = 6 - 5 = -4 + 5 = 1 = 1
Find the Unit Rate.
216 diving students to 12 instructors
Answer: 216 diving students to 12 instructors = 18 students per instructor.
Step-by-step explanation:
There were some people on a boat 26 people got off the boat at the first harbor. 22 people got on the boat. Now there are 74 people on the boat. How many people were on the boat to begin with?
Answer:
78 people were on the boat to begin with.
Step-by-step explanation:
Moving backwards is the way to solve this question.
74 - 22 = 52
52 + 26 = 78
And to prove the answer is correct.....
78 - 26 = 52
52 + 22 = 74
How would you graph y = -4/9x + 6
9514 1404 393
Answer:
graph the y-interceptfind another point (down 4, right 9)draw the line through the 2 pointsStep-by-step explanation:
When the equation of a line is given in slope-intercept form, as this one is, it is usually convenient to make use of those values (intercept and slope).
Here, the y-intercept is 6. The slope is -4/9, which means the line goes down 4 units for each 9 units to the right.
The y-intercept is graphed at (0, 6). An additional point can be graphed at (9, 2). Then the line can be drawn through these points.
1. What is the value of 125 - 34 + 7 x 3?
a.) 294
c. 112
b. 252
d. 70
Answer:
c
Step-by-step explanation
7x3=21
125-34=91
91+21=112
Rewrite it as a function and isolate Y.
Answer: y= -2x + 12
or f (y ) = 6 - [tex]\frac{y}{2}[/tex]
Step-by-step explanation:
just subtract the 2x to get the y alone
In a chemistry class, 12 L of a 12% alcohol solution must be mixed with a 20% solution to get a 14% solution. How many liters of the 20% solution are needed?
4 liters of 20% solution are needed to get a 14% solution.
Suppose x liters of 20% solution is needed to get a 14% solution.
What is a solution?The solution is a homogenous mixture of two or more substances in relative amounts.
So, according to the question
Final concentration of solution = 14%
So, 12% of 12 + 20% of x = 14% of (12+x)
12*12/100 + 20*x/100 = 14*(12+x)/100
144 + 20x = 168 + 14x
6x =24
x=4
4 liters of 20% solution is needed to get a 14% solution.
Therefore, 4 liters of 20% solution is needed to get a 14% solution.
To get more about mixtures and alligations visit:
https://brainly.com/question/26413176
B. Solve the following Polynomials:
1. u³ + 64
Answer:
(4 + u)(16 – 4u + u2)
Step-by-step explanation:
64 + u3.
= 43 + u3.
= (4 + u)(42 – 4.u + u2).
= (4 + u)(16 – 4u + u2).
What is is 7(-5v - 8)
#16 What is the product of
3.4 and 15.56?
Answer:
53.04
Step-by-step explanation:
Answer:
52.904
Step-by-step explanation:
Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls pls Pls pls Pls Pls help me pls pls pls pls pls pls ASAP pls pls pls Pls I WILLL BRAINLIEST!!!!
Answer:
y = -3x - 8
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
slope m = -3
y-intercept = -8
Step 2: Plug into equation
y = -3x - 8
Zales was having a 60% off sale on all rings. Also if you shopped on Wednesdays, you got an extra 10% off. How
much would a $899.00 ring cost on Wednesday?
(Round to the nearest penny and label your answer $).
Answer:
it will be 199.00 dollors you have to spend
Step-by-step explanation:
899.00-70
What is:
6t-2/4 + 4 (t+1) when t=5
Answer:
2 /20t+7
Step-by-step explanation:
44. Skiing A skier is trying to decide whether or not to buy a
season ski pass. A daily pass costs $67. A season ski pass
costs $350. The skier would have to rent skis with either pass for $25 per day. How many days
would the skier have to go skiing in order to make the season pass less expensive than
daily passes?
How do you know what row of Pascal's Triangle to use to expand a binomial?
Answer:
I think you use the row that had the same number of terms as the exponent.
Step-by-step explanation:
A line is decreasing from left to right and crosses the y-axis at-5. Which of the following equations matches the
description of the line?
A. y=5x=5
B. y=-5x-5
C. y=5x -5
D. y=-5x + 5
Answer:
B
Step-by-step explanation:
y=mx+b is the slope-intercept form. Y will remain the same. Since the slope is decreasing, use a negative. The y-intercept is -5, so substitute that for b.