Answer:
r = ¼
Step-by-step explanation:
The formula for the nth term of a geometric sequence is
aₙ = a₁rⁿ⁻¹
We can get the value for r by dividing aₙ by aₙ₋₁.
a₄/a₃ = ¼
r = ¼
22.11 divided by 11?
Final answer:
To find the result of dividing 22.11 by 11, you simply divide 22.11 by 11, yielding an answer of 2.01. This basic division operation demonstrates how to divide a decimal by a whole number.
Explanation:
The question is asking to divide 22.11 by 11. To solve this, you would take the number 22.11 and divide it by 11. Dividing these numbers is straightforward and can be done using long division or a calculator.
Step 1: Place 22.11 under the division bracket and 11 outside of it.
Step 2: Determine how many times 11 fits into 22.11. Since 11 goes into 22 exactly two times, you write 2 above the division bracket, aligned with the last digit of 22.
Step 3: Multiply 2 (the quotient) by 11 (the divisor) to get 22, and subtract this from 22.11, leaving you with a remainder of 0.11.
Step 4: Bring down the next digit (if any), but since we already have no more digits left in 22.11, we look at the remainder. In practical terms for simple school-level math, we can stop here, acknowledging that 11 goes into 22.11 twice without a perfect division due to the decimal.
The actual answer to 22.11 divided by 11 is 2.01.
A box is shaped like a cube the box has a length of 1 foot a width of 1 foot and a height of 1 foot what’s the volume of the box
Answer:
1 ft³
Step-by-step explanation:
The formula for the volume of a cube is
Vol. = l³ = l × l × l
If l = 1 ft,
V = 1 ft × 1 ft × 1 ft
V = 1 ft³
The volume of the cube with each side measuring 1 foot is 1 cubic foot, calculated by the formula V = 1 ft × 1 ft × 1 ft or simply V = s³.
The volume of a cube can be determined by multiplying its three dimensions together. In this case, the cube has dimensions of 1 foot in length, 1 foot in width, and 1 foot in height. The formula for the volume of a cube is V = length imes width imes height. Therefore, for a cube with all sides of 1 foot each, the volume is straightforwardly calculated as:
V = 1 ft × 1 ft × 1 ft = 1 cubic foot.
The properties of a cube tell us that all sides are equal, and thus, to find the volume, we can also use the expression V = s³, where s is the length of a side of the cube. Since each side is 1 foot, the volume is indeed 1 cubic foot or 1 ft³. This simple calculation is a great example of how to apply geometric principles to find volume.
Find two irrational numbers between 0.3 and 0.7?
Answer:
two irrational numbers are [tex]\sqrt{0.3},\sqrt{0.4}[/tex]
Step-by-step explanation:
We are given to find irrational number
we know that
irrational numbers are numbers that can not be represented as simple fraction
For example:
[tex]\sqrt{2} ,e,\pi[/tex]
but those irrational numbers should be between 0.3 and 0.7
so, we can take sqrt numbers between 0.3 and 0.7
we know that
[tex]\sqrt{0.3}=0.5477[/tex]
[tex]\sqrt{0.4}=0.632455[/tex]
Both values lies between 0.3 and 0.7
so, two irrational numbers are [tex]\sqrt{0.3},\sqrt{0.4}[/tex]
a camera is capable of snapping .75 of a picture per second how long will it take the camera to snap 6 pictures?
Answer:
4.5 seconds.
Step-by-step explanation:
0.75 of a picture will be taken within a second. 6 times 0.75 is 4.5 seconds.
Hope this helps!
Answer:
4.5 secs
Step-by-step explanation:
Hair Color Boys Girls
Black 4 5
Blonde 4 6
Brown 10 8
Red 2 1
The table shows the number of boys and girls that have black, blonde, brown, or red hair color. What portion of the boys have red hair? (round to nearest hundredth)
A) 0.05
B) 0.10
C) 0.11
D) 0.15
I need some help I don’t understand please help me
If the sum of the squares of the legs of a triangle doesn’t equal the square of the hypotenuse, the triangle is not a triangle.
Answer: In a right triangle, the sum of the squares of the two legs equals the square of the hypotenuse. Legs (a and b): the sides of the triangle adjacent to the right angle. They don't need to be the same length in order for this theorem to work.
If the sum of the squares of the legs of a triangle doesn’t equal the square of the hypotenuse, the triangle is not a RIGHT triangle.
Step-by-step explanation:We know that in a right angled triangle the Pythagorean Theorem hold true.
According to Pythagorean Theorem:
If the three sides lengths of a triangle are a,b and c respectively such that:
[tex]c^2=a^2+b^2[/tex]
Then such a triangle is a right triangle with hypotenuse c and other two legs of triangle as a and b.
Hence, the answer is:
The triangle is not a right triangle.
Solve for X in the triangle.
check the picture below.
make sure your calculator is in Degree mode.
Answer:
2.735
Step-by-step explanation:
:)
What is the equation of the line in standard form? A function graph of a line with two points (-3,1) and (3,2) with an x axis of negative five to five and a y axis of negative five to five x + 6y = 9 3x + y = 6 x−6y=−9 3x−y=−6
Answer:
x - 6y = -9
Step-by-step explanation:
We are given two points (-3,1) and (3,2) on a line so we will use them to find the slope.
Slope ([tex]m[/tex]) = [tex]\frac{2-1}{3+3} =\frac{1}{6}[/tex]
The standard form of the equation is [tex]y=mx+c[/tex] so we will substitute the values of the coordinates of a point and slope (m) to find the y-intercept (c).
[tex]2=\frac{1}{6} +c\\\\c=\frac{3}{2}[/tex]
So the equation of the line which passes through the given points will be [tex]y=\frac{1}{6} x+\frac{3}{2}[/tex] which can be rearranged to write it as:
x - 6y = -9
Answer:
Option C.
Step-by-step explanation:
The standard form of a line is
[tex]Ax+By=C[/tex]
It a line passes through two points then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
It is given that the line passes through the points (-3,1) and (3,2). So the equation of line is
[tex]y-(1)=\dfrac{2-1}{3-(-3)}(x-(-3))[/tex]
[tex]y-1=\dfrac{1}{6}(x+3)[/tex]
Multiply both sides by 6.
[tex]6(y-1)=x+3[/tex]
[tex]6y-6=x+3[/tex]
Subtract 6y and 3 from both sides.
[tex]6y-6-6y-3=x+3-6y-3[/tex]
[tex]-6-3=x-6y[/tex]
[tex]-9=x-6y[/tex]
Interchange both sides.
[tex]x-6y=-9[/tex]
Therefore, the correct option is C.
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 5.5 gallons in the 14-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.70 per gallon. How much did Irene spend on gas?
Answer:
It will cost Irene $31.45 to fill the tank
Step-by-step explanation:
Irene's tank holds 14 gallons. It has 5.5 gallons in it.
14- 5.5 = 8.5
Irene can put in 8.5 gallons to fill it.
8.5 gallons and $3.70
8.5 * 3.7 = $31.45
It will cost Irene $31.45 to fill the tank
graph the linear equation. Find three points that solve the equation, then plot on the graph -x -y =0
[tex]-x-y=0\qquad\text{add y to both sides}\\\\-x=y\to y=-x\\\\\text{Choice any three x values and calculate the y values.}\\\\for\ x=0\to y=-0=0\to(0,\ 0)\\\\for\ x=-2\to y=-(-2)=2\to(-2,\ 2)\\\\for\ x=2\to y=-2\to(2,\ -2)[/tex]
Sixteen students in a drama club want to attend a play. The ticket price is $35 for each student, and the transportation and meals for everyone will cost$960. To pay for the trip, the students design sweatshirts to sell for profit of $19per sweatshirt. If each student sells the same number of sweatshirts, how many sweatshirts must each student sell so that there will be enough money to pay for the entire cost of the trip?
Final answer:
To cover the entire cost of the trip, each student must sell at least 80 sweatshirts.
Explanation:
To find out how many sweatshirts each student must sell, we need to calculate the total cost of the trip and then divide it by the profit per sweatshirt. The total cost of the trip is the sum of the ticket price for each student and the cost of transportation and meals for everyone:
Total Cost = (Ticket Price * Number of Students) + Transportation and Meals Cost
Substituting the given values, we have:
Total Cost = ($35 * 16) + $960
Total Cost = $560 + $960
Total Cost = $1520
Now, we can calculate the number of sweatshirts each student must sell to cover the total cost of the trip:
Number of Sweatshirts = Total Cost / Profit per Sweatshirt
Substituting the given profit per sweatshirt value, we get:
Number of Sweatshirts = $1520 / $19
Number of Sweatshirts = 80
Therefore, each student must sell at least 80 sweatshirts to cover the entire cost of the trip.
How many solutions does the following equation have?
|3x + 12| = 18 (5 points)
Answer: 2 solutions.
The given equation breaks down into these two equations
3x+12 = 18 and 3x+12 = -18
Basically 3x+12 equal to plus 18 and minus 18. This is due to the fact that something like |x| = 7 means x = 7 or x = -7, ie those x values are exactly seven units away from zero on the number line.
If you want to solve each equation, then
3x+12 = 18
3x = 18-12
3x = 6
x = 6/3
x = 2 is one solution
and
3x+12 = -18
3x = -18-12
3x = -30
x = -30/3
x = -10 is the other solution
EASYY TO ANSWER I WILL MARK YOU AS BRILIANT HELP PLEASE
Question 1: (0,2) because b value in mx+b is y-intercept
Question 2: plug in 4 for x you will get 1 so max is (4, 1)
Question 3: plug in -4 for x you will get -5 so min is (-4, -5)
Hope it helps :D
Ashley orders some bracelets online. Each bracelet costs 6$, and she pays a shipping fee of 7$ her total order is 55$. Which equation can be used to show how many brackets ashley orders
Doctor Jon sees 6 patients in 1 1⁄2 hours. Doctor Carol sees 10 patients in 2 hours. Which doctor sees more patients per hour?
Answer:
Carol PLEASE GIVE BRAINLIEST
Step-by-step explanation:
Jon = 6 patients in 1.5 hours
6 ÷ 1.5 = 4 patients per hour
Carol = 10 patients in 2 hours
10 ÷ 2 = 5 patients an hour
Carol sees more patients per hour.
If a new data point at 12 is added to the graph , which will be true ?
Answer:
3. The mean will increase more than median, but both will increase.
Step-by-step explanation:
We have been given a dot plot. We are asked to find the true statement, if a new data point at 12 is added to our given dot plot.
Since we know that an large valued outlier affects mean more than median, so mean will increase more than median.
Let us check this using our given information. Our data set before adding 12 is:
1, 2, 2, 2, 3, 4, 4, 4, 5.
We can see that our data set has odd number (9) of data points, so median will be the value of 5th term, that is 3.
[tex]\text{Mean}=\frac{1+2+2+2+3+4+4+4+5}{9}[/tex]
[tex]\text{Mean}=\frac{27}{9}=3[/tex]
Therefore, mean of our data set is 3.
Upon adding a data point at 12, our new data set will be:
1, 2, 2, 2, 3, 4, 4, 4, 5, 12.
Now our data set has 10 terms, so median will be the average of 5th and 6th term.
[tex]\text{Median}=\frac{3+4}{2}[/tex]
[tex]\text{Median}=\frac{7}{2}=3.5[/tex]
Therefore, the median of new data set will be 3.5.
[tex]\text{Mean}=\frac{1+2+2+2+3+4+4+4+5+12}{10}[/tex]
[tex]\text{Mean}=\frac{39}{10}[/tex]
[tex]\text{Mean}=3.9[/tex]
Therefore, mean of new data set will be 3.9.
Upon looking at our given statements we can see that 3rd statement is true as mean and median both increased after adding 12 to our data set, but mean increased more that median. Mean and median before adding 12 was 3; but after adding 12 median became 3.5, while mean became 3.9 (which is greater than mean).
Answer:
The mean will increase more than the median, but both will increase.
Step-by-step explanation:
There are 16 peices of fruit in a bowl and 12 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
Answer: if you simplify 12/16 to 3/4 then you multiply that fraction by 25 you get 75/100 which translates to 75%.
Find two numbers the quotient is between 136 divided by 6
Answer:
12 and 136
Step-by-step explanation:
12 divided by 2 is 6, and 136 divided by 2 is equal to 68.
For the two numbers the quotient is between 136 divided by 6 will be 22 and 23.
We may examine the division and take into account the closest whole numbers to the quotient in order to get the two numbers that are the product of 136 divided by 6.
(Rounded to four decimal places) 136 divided by 6 equals 22.6667. 22 and 23 are the whole numbers that are most similar to this quotient.
We may then deduce that the value of the quotient of 136 divided by 6 is between 22 and 23. Accordingly, the outcome of the division of 136 by six will be a number more than or equal to 22 but less than 23. To put it another way, the quotient falls between [22, 23].
More about the Algebra link is given below.
https://brainly.com/question/953809
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Need help What’s the answers?
Answer: what’s the question
Step-by-step explanation:
Pleeeeeease solve this problem
Answer:
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which graph shows a proportional relationship between the number of hours of renting a lawn mower and the total amount spent to rent the lawn mower?
Answer:
Well Where are the graphs
Step-by-step explanation:
Answer:
It’s just A
Step-by-step explanation:
these are my last questions plz help me :)
WHAT IS THE ANSWER TO THIS "q+d=24, .25q+ .10d= 4.95"
Answer:
d=7 and q+0=17
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
d+q=24;0.10d+0.25q=4.95
Step: Solve d+q=24 for d:
d+q+ (−q) =24+(−q) (Add -q to both sides)
d=−q+24
Step: Substitute −q +24 for d in 0.10d+0.25q=4.95:
0.10d+0.25q=4.95
0.10(−q+24)+0.25q=4.95
0.15q+2.4=4.95 (Simplify both sides of the equation)
0.15q+2.4+(−2.4) =4.95+(−2.4) (Add -2.4 to both sides)
0.15q+0=2.55
0.15q+0 /0.15 = 2.55/0.15 (Divide both sides by 0.15)
q+0=17
Step: Substitute 17 for q in d= −q+24:
d= −q+24
d= −17+24
d=7 (Simplify both sides of the equation)
create an expression that is equivalent to the given expression. 5(c+6)
Answer:
5c + 30
Step-by-step explanation:
An easy way to create an equivalent expression is to simplify the equation given to you. In this case, distribute 5 to all terms within the parenthesis:
5(c) = 5c
5(6) = 30
5c + 30 is an answer choice.
~
Distribute the 5 inside the parenthesis to create an equivalent expression.
Answer:
5c + 30
A cube-shaped dog kennel is replaced by a larger kennel. The volume of the original kennel was 27 cubic feet. The volume of the new kennel is 64 cubic feet. How many feet were added to each edge length of the kennel?
Answer:
1 foot
Step-by-step explanation:
yuhh im doing the test so
The edge length of the original and new kennels were 3 and 4 feet respectively. Therefore, each edge length of the kennel increased by 1 foot.
Explanation:Your question involves understanding the relationship between a cube's size, or its edge length, and its volume. The volume of a cube is calculated by cubing the edge length (Volume = Edge Length³). Therefore, the edge length of the original kennel is the cube root of 27, which is 3 feet. The edge length of the new kennel is the cube root of 64, which is 4 feet. So, each edge length of the kennel was increased by 1 foot (4-3).
Learn more about Cube Volume and Edge Length here:https://brainly.com/question/265130
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a school is sponsoring a comedy show to raise money for charity.for every adult ticket sold the school can donate $4.00 to charity. a total of 408 tickets are sold and 1/2 of them are adult tickets how much money can the school donate
Final answer:
The school can donate $816 to charity from the adult ticket sales of their comedy show, based on the 204 adult tickets sold at $4.00 per ticket.
Explanation:
To find out how much the school can donate, first, determine the number of adult tickets sold. Since half of the 408 tickets are adult tickets, there are 204 adult tickets sold (408 tickets × 1/2 = 204 adult tickets). Next, calculate the total donation from these adult tickets by multiplying the number of adult tickets by the donation per ticket, which is $4.00.
Total Donation = Number of Adult Tickets × Donation per Adult Ticket = 204 × $4.00 = $816.
Therefore, the school can donate $816 to charity from the comedy show ticket sales.
Answer:
$ 816 is donated to charity.
Step-by-step explanation:
408 tickets were sold. 1/2 were adult tickets so
408 * 1/2 = 204 adult tickets were sold.
4 dollars from each adult ticket is donated to charity
204 * 4 =816
$ 816 is donated to charity.
690x52 show your work
Answer:
35,880
Step-by-step explanation:
4
1
690
52
1380
34500
35880
Hope this helps you!!! :)
What does the correlation show about the relationship between temperature and sales of ice cream
The graph is missing. So is the set of data point values. However, I can assume that as the temperature goes up, then so does the sale of ice cream. It's not a perfect relationship, but there is a strong positive correlation between the two variables.
A positive correlation means that as one variable increases, so does the other. Also, it means that if one variable decreases, then the other variable decreases as well. The two variables move in the same direction together.
find the volume of the hemisphere with a radius of 7 inches. Round your answer to the nearest tenth.
Answer:
The formula for the volume of a sphere is:
Sphere Volume = 4/3 • π • r^3
Sphere Volume = 4/3 • π • 7^3
Sphere Volume = 4/3 • π • 343
Sphere Volume = 1,436.7550402417 cubic inches
Step-by-step explanation:
Final answer:
The volume of a hemisphere with a radius of 7 inches is calculated using the formula V = ½ (⅓πr³), resulting in a value of 571.1015 cubic inches, which rounds to 571.1 cubic inches.
Explanation:
To find the volume of a hemisphere with a radius of 7 inches, we use the formula for the volume of a sphere and then take half of that, since a hemisphere is just half of a sphere. The formula for the volume of a sphere is V = ⅓πr³. Since we need the volume of a hemisphere, our formula becomes V = ½ (⅓πr³). By substituting the given radius into the formula, we have:
V = ½ (⅓π(7 inches)³)
= ½ (⅓π(343 cubic inches))
= ½ (1142.203 cubic inches)
= 571.1015 cubic inches.
When we round this result to the nearest tenth, we get 571.1 cubic inches. Hence, the volume of the hemisphere is approximately 571.1 cubic inches.