Step-by-step explanation:
1 hour 50 minutes = 110 mins
1 1/2 hours = 90 mins
add all these:
110
90
85
55
35
when you add all these you get 375
every hour has 60 minutes
375 ÷ 60 = 6.15
if he starts at 9 am and he cleans for 6.15 hours he will be finished by 3:15pm.
Based on the number of minutes Theo will take to clean the various rooms, and the time he will take to rest, he will finish cleaning at 3:15 pm.
What time will Theo finish cleaning?The best thing to do here is to convert all the minutes to decimals. This would make adding them up easier.
Kitchen = 1 hour 50 minutes = 1 + 50/60 = 1.833 hours
Lounge = 55 minutes = 55/60 = 0.916 hours
Bedroom = 1.5 hours
Bathroom = 35 minutes = 35/60 = 0.583
Breaks = 85 / 60 = 1.417
Add them up:
= 1.833 + 0.916 + 1.5 + 0.583 + 1.417
= 6.249 hours
= 6 + (0.249 x 60 minutes)
= 6 hours 15 minutes
The time he will finish is:
= 6 hours 15 + 9
= 1515 hours
= 3:15 pm
Find out more on operations involving time at https://brainly.com/question/1040096.
factorise fully 4x squared + x cubed pls
The value of the equation is A = x² ( 4 + x )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 4x squared + x cubed
Substituting the values in the equation , we get
A = 4x² + x³ be equation (1)
On simplifying the equation , we get
Taking the common factor as x² in the equation , we get
A = x² ( 4 + x )
Therefore , the value of A is x² ( 4 + x )
Hence , the factorized equation is x² ( 4 + x )
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I will give you brainlyest and give you points
Answer:
VOL_cone is 70.7
which is LESS THAN
the vol of cylinder. VOL_cyl is 71.6
Step-by-step explanation:
Volume of a cone:
V= (1/3)pi•r^2 • h
=(1/3)pi•3^2 • 7.5
= 70.7 cubic inches
(rounded to tenths this is the same if you use a pi key on the calculator or if you use 3.14)
The Volume of a cylinder:
V = pi•r^2 • h
= pi• 2.25^2 • 4.5
= 71.6 cubic inches
(more accurate with pi key, using 3.14 it rounds to 71.5)
The last blank could be the words "less than" but if they are asking for a fraction or percent, calculate by putting the big number on the bottom and the smaller number on top.
What is the total cost of a new car that has a price of $24,000 and a sales tax rate of 9%?
Answer:
26,160.00
Step-by-step explanation:
24,000 + 9% = 26,160.00
Have a wonderful day! Dream a good dream of good people. :)
Answer:
The answer is
→ $26,160
Step-by-step explanation:
In this problem, it says that the total cost of the new car is the price of $24,000 plus a sales tax of 9%. For the problem, it's obvious to use addition, because when you buy something, most of the time they add taxes.
So,
24,000
+ 9%
‾‾‾‾‾‾‾‾‾‾
26,160
Therefore, 26,160 is the correct answer for your problem.
Ms. fudge recently gave an algebra 1 test. the scores were normally distributed with a mean of 74 and a standard deviation of 8. find each of the following. write as a percent.
Using the Empirical Rule, it is found that there is a 68% probability that a student scored between 66 and 82.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, considering the mean of 74 and the standard deviation of 8, we have that:
74 - 8 = 66
74 + 8 = 82.
Hence, there is a 68% probability that a student scored between 66 and 82.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
Find the roots of the factored polynomial. (x–3)(x–9) Write your answer as a list of values separated by commas.
x^2 - 9x - 3x + 27
x^2 - 12x + 27
Which number sentence matches the question below?
Mindy has a total of 239 books.
If Mindy gives 92 books to her local library, how many books will she have left?
A.
- 239 = 92
B.
239 + 92 =
C.
239 - 92 =
Answer:
Your answer is C.
239-92
Step-by-step explanation:
If shes giving AWAY then it would be a subtraction problem.
find the HCF of 50and70 by using euclids algorithm
Answer:
10
Step-by-step explanation:
To find,
HCF of 50 & 70 using Euclid's Division Algorithm.
Solution,
HCF(50 & 70) -- 70 = 50 × 1 + 20.
50 = 20 × 2 + 10
20 = 10 × 2 + 0.
Therefore their HCF is 10.
Answer:
10
Step-by-step explanation:
According to Euclid's Algorithm, c = dq + r , 0 ≤ r < d (where r is the remainder)
As 70 > 50, c = 70 and d = 50
Substituting values of c and d:
70 = (50 x 1) + 20
⇒ 50 = (20 x 2) + 10
⇒ 20 = (10 x 2) + 0
Therefore, the HCF is 10
The price of a cup of coffee has risen to 2.35$ today , yesterday’s price was 2.20$ . Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
3.1%
Step-by-step explanation:
2.20/2.35 = 3.1%
Have an amazing day!!
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Find the area of the circle
Step-by-step explanation:
78.50 in^2 I am pretty sure
Answer:
78.50 in squared
Step-by-step explanation:
To find the area of a circle, you need to use the equation area = pi * r^2, or pie multiplied by the radius squared. The radius is half of the diameter, which means the radius is 5. 5 squared is 25. Pi times 5 is about 78.50 inches squared.
What is 2925 divided by 15
A box of 15 cookies costs $9dollar sign, 9. What is the cost for 1 cookie?
The numbers below are the golf score for the UGA golf team. 68, 70, 72, 73, 74, 75. What is the mean AND the mean absolute deviation (MAD) of the data?
A.MEAN:73; MAD:2
B.MEAN:72; MAD:2
C.MEAN73; MAD:6
D.MEAN; MAD:6
The mean and mean absolute deviation of the given data are;
B. Mean: 72; mean absolute deviation: 2.
What is The Mean Absolute Deviation?The mean absolute deviation of a data set is the average distance of each data point in the data set from the mean of the data set.
Given the data, 68, 70, 72, 73, 74, 75:
Mean = (68 + 70 + 72 + 73 + 74 + 75)/6 = 432/6
Mean = 72
Mean absolute deviation = [(68 - 72) + ( 70 - 72) + ( 72 - 72) + ( 73 - 72) + ( 74 - 72) + ( 75 - 72)] / 6
Mean absolute deviation = [(4) + (2) + (0) + (1) + (2) + (3)] / 6
Mean absolute deviation = 12/6
Mean absolute deviation = 2
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What is the distance between
(-2,-4) and (-2, -8)?
2 units
4 units
12 units
Answer:
4units is the answer to the question
Answer:
4
Step-by-step explanation:
took the k12 test
A plane contains 9
distinct horizontal lines and
9
distinct vertical lines. These lines divide the
plane into separate regions. How many of these
separate regions have a finite, nonzero area?
A finite, nonzero area formed by the lines would have a fixed measurement
The number of separate region that have a finite, nonzero area is 64
How to determine the number of separate regions?The given parameters are:
Horizontal lines, h = 9Vertical lines, v = 9The number (n) of separate region that have a finite, nonzero area is calculated as:
n = (h - 1) * (v - 1)
This gives
n = (9 - 1) * (9 - 1)
Evaluate the product
n = 64
Hence, the number of separate region that have a finite, nonzero area is 64
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Which point on the number line is at 58/100
Answer:
R
Step-by-step explanation:
If you count the tiks by 10 instead of ones, Q is less than 50, and S and T are both larger than 60. Therefore, R is the only possible answer.
Hope this helped <3 Brainliest please :)
NO LINKS. Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answer: Altitude
Step-by-step explanation:
seven less than the product of a number n and 1/3 is no more than 95
Four Friends pay £12 each to hire a hole for a band practice how much Wood 12 friends pay each to hire the same hall
Answer:
4 dollars per friend
Step-by-step explanation:
So, if 4 friends are paying 12 dollars, to find the total, we do 4 * 12 = 48
48 is how much the 4 friends paid
If 12 friends pay to hire the same group, (resemble for the same price of 48 dollars), is we do, 48 dollars ÷ 12 friends = 4 dollars per friend
So sorry to ask another question but I need some help-
The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet. What is the perimeter of the triangle?
Answer:
14x + 23
Step-by-step explanation:
The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.
The perimeter of a triangle: the sum of all of its sides.
5x + 9 + 2x + 14 + 7x
14x + 23
It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.
Find the area of the parallelogram
Answer:
30.42 in^2.
Step-by-step explanation:
Find the height:
sin 45 = 1/√2 = h/7.8
h = 7.8 /√2
the base = height = 7.8 /√2
Area = h * b
= (7.8 /√2)2
= 30.42.
A jug contained314 pints of milk at the start of a baking class. At the end of the class, only 3 fluid ounces were left.
How many fluid ounces of milk were used during the class?
10 fl oz
23 fl oz
49 fl oz
101 fl oz
Answer
C. 49 fl oz
Step-by-step explanation:
I took the quiz.
1. A wooden box is to be built so that it measures 156 cm by 122 cm by 95 cm.
How much plywood will it take to build the garbage bin?
The amount of plywood needed to build the garbage bin is the surface area. Therefore, the amount of plywood needed is 90884 cm².
How to find the surface area of a rectangular prismThe wooden box is a rectangular prism. The amount of plywood used to construct the wooden box is the surface area of the box.
Therefore,
surface area of rectangular prism = 2(lw + lh + hw)
where
l = lengthw = widthh = heightl = 156 cm
w = 122 cm
h = 95 cm
surface area of rectangular prism = 2((156 × 122) + (156 × 95) + (122 × 95))
surface area of rectangular prism = 2(19032 + 14820 + 11590)
surface area of rectangular prism = 2(45442)
surface area of rectangular prism = 90884 cm²
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find the equation of the line
please help
Answer:
y=4x-9
Step-by-step explanation:
Slope-intercept form is y=mx+b where y is the y vale, m is the slope, x is the x value and b is the y-intercept.
We need to find the slope and y-intercept.
To find slope we will do rise/run
If we start from (3,3) and go up 4 and over 1 we get to (4,7)
4 over 1 is also 4
So m=4 or slope is 4
Now lets find the y-intercept
We can plug in our values and solve for b
3=4*3+b
3=12+b
-9=b
y-intercept is -9
so our answer will be y=4x-9
Answer:
y = 4x -9
Step-by-step explanation:
The equation of this line is requested in slope-intercept form. The y-intercept is off the bottom of the graph, so we much develop the equation from what we can see.
Exact values are best determined from points where the line crosses grid intersections. We observe two of those are (1, -5) and (2, -1). The slope formula can tell us the slope:
m = (y2 -y1)/(x2 -x1)
m = (-1 -(-5))/(2 -1) = 4/1 = 4
The formula for the y-intercept can be used with the first point:
b = y -mx
b = -5 -4(1) = -9
Then the equation of the line y = mx +b is ...
y = 4x -9
#8) Translate the following phrase into an expression:
10
8 more than y
Your answer
This is atequired question
Answer:
y + 8
Step-by-step explanation:
8 more than y is y plus 8.
Help asap
photo attached
the function f has a continuous derivative. if f(0) = 1, f(2) = 5 and integral from 0 to 2 f(x) dx = 7, what is integral from 0 to 2 x • f’(x) dx?
a. 3
b. 6
c. 10
d. 17
No photo attached, but no need.
We're given that f(0) = 1 and f(2) = 5, and that
[tex]\displaystyle \int_0^2 f(x) \, dx = 7[/tex]
Integrate x f'(x) by parts, with
[tex]u = x \implies du = dx[/tex]
[tex]dv = f'(x) \, dx \implies v = f(x)[/tex]
Then
[tex]\displaystyle \int_0^2 x f'(x) \, dx = uv\bigg|_{x=0}^{x=2} - \int_0^2 v \, du \\\\ = x f(x) \bigg|_{x=0}^{x=2} - \int_0^2 f(x) \, dx[/tex]
Now just plug in everything you know:
[tex]\displaystyle \int_0^2 x f'(x) \, dx = 2f(2) - 0f(0) - \int_0^2 f(x) \, dx = 10 - 0 - 7 = \boxed{3}[/tex]
(PLS HELP QUICK POINTS)
A soda can holds 235.5 in^3 of liquid. If the cab is 5 inches tall, what is the distance across the top of the soda can.
Answer:
Step-by-step explanation:
To make a guess as to the volume, it may be easier to guess in cups rather than centimeters or inches. One may visualize that a 12 ounce soda can is about 1.5 cups. This is equivalent to 354.88 cubic centimeters or 21.656 cubic inches.
Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5
Please show work
Answer:
31
Step-by-step explanation:
The series are given as geometric series because these terms have common ratio and not common difference.
Our common ratio is 2 because:
1*2 = 2
2*2 = 4
The summation formula for geometric series (r ≠ 1) is:
[tex]\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}[/tex] or [tex]\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}[/tex]
You may use either one of these formulas but I’ll use the first formula.
We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.
[tex]\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}[/tex]
Therefore, the solution is 31.
__________________________________________________________
Summary
If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.
Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as [tex]\displaystyle \large{a_{n-1} \cdot r = a_n}[/tex] meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:
[tex]\displaystyle \large{r=\frac{a_{n+1}}{a_n}}[/tex]
Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:
[tex]\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}\\\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}[/tex]
Above should be applied for series that have common ratio not equal to 1.
[tex]\displaystyle \large{S_n=a_1 \cdot n}[/tex]
Above should be applied for series that have common ratio exactly equal to 1.
__________________________________________________________
Topics
Sequence & Series — Geometric Series
__________________________________________________________
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Let me know if you have any doubts about my answer, explanation or this question through comment!
__________________________________________________________
The airplane flew 4,848 miles in 8 hours. How many miles per hour did it fly?
Answer:
606 MPH
Step-by-step explanation:
4848/8=606
Answer:
606 mph
Step-by-step explanation:
i did 4848 divided by 8
I don’t know if I’m right
Answer:
A: geometric; 4 times
B: arithmetic: 4 more
Step-by-step explanation:
An arithmetic model is a linear model, where the rate of change is constant. Growth or decay is by a constant amount from one interval to the next.
A geometric model is an exponential model, in which the rate of change is proportional to the amount. Growth or decay is by a constant factor from one interval to the next.
__
A)The equation for the sequence is given in "explicit" form:
[tex]A_n=2^{2n}[/tex]
The exponent can be split so this can be rewritten as ...
[tex]A_n=(2^2)^n=4^n[/tex]
If this were written in recursive form, it would look like ...
[tex]A_0=1,\ A_n=4\times A_{n-1}[/tex]
The fact that terms are related by a constant factor tells you the model is geometric. The factor tells you each hour the population is 4 times what it was in the previous hour.
__
B)The given equation is in "recursive" form. It tells you each term is 4 more than the previous one. This constant difference between terms means the model is arithmetic.
_____
Additional comment
In general, words like "more" or "increase" refer to addition, and the words "times" or "factor" refer to multiplication.
Solve for x.
8.7 + X = 7
=
1.1
x = [?]
Answer:
-1.7
Step-by-step explanation:
8.7 + X =7
incorporate the shoes and socks method. We must do the opposite of what is being done. If we are adding X, we will subtract X on both sides leaving you with 8.7=7-x. We want X on one side of the equation so now we take the 8.7 and subtract on both sides giving 7-x-8.7. we must add X on both sides so we can have a X on one side thus X= 7-8.7. we can ordinary subtract and will give us -1.7.
X=-1.7
8.7+(-1.7) =7