Answer:
52 i think
Step-by-step explanation:
The question doesn't really say what to do, i say 52 because of the pattern
The required sum of the arithmetic progression is 441.
Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
45 + 46 + 47 . . . . . . 54
About sequence is an arithmetic sequence with,
First term a = 45
common difference d = 1
last term l = 54
Number of terms = 45 - 54 = 9
The required sum of the arithmetic progression can be given as,
s = n / 2 * ( 2a + (n - 1) d )
s = 9 / 2 * (2 * 45 + 8 * 1)
s = 9 / 2 * (98)
s = 9 *49
s = 441
Thus, the required sum of the arithmetic progression is 441.
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A patient is to take 4 2/3 tablespoons of medicine per day in 4 equally divided doses. How much medicine is to be taken in each dose?
Answer:
1 1/6
Step-by-step explanation:
4 2/3 ÷ 4
Convert the mixed number into an improper fraction:
4 2/3 = 14/3
14/3 ÷ 4
14/3 ÷ 4/1
Use cdf (copy dot flip)
14/3 × 1/4
14 × 1 / 3 × 4
14/12
Convert improper fraction into a mixed number:
14/12 = 1 2/12
1 1/6
A population of bacteria contains 150 bacteria in generation 1 and triples in
population every generation. This sequence represents the number of
bacteria for the first few generations:
150, 450,1350, ...
What is the explicit formula for the number of bacteria in generation n?
Answer: bn= 150*3^(n-1)( bn is a quantity of bacteria in generation n)
Step-by-step explanation:
It looks like geometrical sequence, each next generation is three times greater than previous one. So the r of this sequence is 3.
The first generation has 150 representatives, so b1=150
The formula of geometrical sequence is bn=b1*r^(n-1)
(in our case bn is a quantity of bacteria in generation n)
so bn= 150*3^(n-1)( bn is a quantity of bacteria in generation n)
Explain how to evaluate f (2) to a student that is
absent today.
“If I drink I die, if I eat I live. What am I?”
Answer:
fire ...............
Answer:
fire
Step-by-step explanation:
.....................
Find the H.C.F of 32, 48 and 64
Answer:
Step-by-step explanation:
Factor into primes
32: 2*2*2*2*2
48: 2*2*2*2*3
64: 2*2*2*2*2*2
The highest common factor is 2*2*2*2 = 16
help me with my homework
Answer:
a because I dont know why but some one told me it was this
Answer: A. There are three terms
Concept:
In an algebraic expression, there are several specific terms:
Constant: the individual number that has no variable with it, or in east word, it is isolated.Variable: any unknown value, which is usually presented by alphabets.Coefficients: the numbers that are bounded with a variable, usually in front of a variable.Terms: the number of individuals present in the expression, which is constants and [variable + coefficients].Like terms: terms that have the same variables and powers.If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
a. There are three terms. [tex]\boxed{FALSE}[/tex]
- 14b
- -7
- 8b
- b
There are in total four individuals, which means there are four terms.
b. There is one constant term. [tex]\boxed{TRUE}[/tex]
- 14b is a [variable + coefficient]
- -7 is a [constant]
- 8b is a [variable + coefficient]
- b is a [variable]
Therefore, there is one constant term.
c. The coefficients are 14, 8, and 1 [tex]\boxed{TRUE}[/tex]
- 14b →→→ 14 is the [coefficient]
- -7 →→→ is a [constant]
- 8b →→→ 8 is the [coefficient]
- b →→→ 1 is the [coefficient]
Therefore, 14, 8, and 1 are coefficients.
d. Three of the terms are like terms [tex]\boxed{TRUE}[/tex]
- 14b →→→ b is the [variable]
- -7 →→→ is a [constant]
- 8b →→→ b is the [variable]
- b →→→ b is the [variable]
Since 14b, 8b, and b share the common variable, there are three like terms.
Hope this helps!! :)
Please let me know if you have any questions
The sum of the angle measures of a quadrilateral is 360 degree . Write and solve an equation to find the value of x .
A quadrilateral with interior angles marked as x degrees, 150 degrees, 77 degrees, and 48 degrees.
The equation is
360= .
x=
Answer:
Step-by-step explanation:
The value of the angle x is 85°
The sum of angles of a quadrilateral = 360°
This means that given a quadrilateral with angles, A, B, C, D ;
(A + B + C + D) = 360°
Given the angles of a quadrilateral : (x°, 150°, 77°, 48°)
The value of x will be obtained thus :
(x + 150 + 77 + 48) = 360
150 + 77 + 48 + x = 360
275 + x = 360
x = 360 - 275
x = 85°
Hence, the value of x is 85°
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Solve 4s + 3(2-3s) < 5(2-s)
Step-by-step explanation:
if the question ia right then answer comes to a point as 6<10Somebody help !!!!!!!!!!!!!!!!
Hey there! I'm happy to help!
The equation y=0.5x simply means that Joseph is hiking 0.5 miles every hour. This is because the x value is the independent variable or the thing you change, which in this case is the time you take hiking. The distance, the y-value, is dependent on that time.
Now, let's look at Kelly's graph. This graph isn't a grid, so we will have to eyeball some of the numbers on the graph. It appears that after 10 hours, Kelly has traveled eight miles. This is because if you go up from the 10 and meet the line and then go to the left. you will be about at the line right below the 10 on the y-axis, and if you count the lines, you will see that we are counting by 2, so it has to be eight.
So, we see that Kelly takes 10 hours to go eight miles. We know that Joseph's distance is half of his time (4 hours would be 2 miles, 6 hours would be 3 hours, etc.)
So, if we say that Joseph hikes for ten hours, he will have hiked five miles as that is half of ten. We see, though, that Kelly made it eight hours in that time, so Kelly is going faster here.
Have a wonderful day and keep on learning! :D
An insurance company sells a homeowner's insurance policy that is $600 per year per policy. The insurance company predicts that the probability of having a home being damaged in the area it sells this policy is about 11,000. If the home is damaged, the insurance company expects to pay $400,000 to the homeowner. If the company were to sell 250 policies, how much money can it expect to gain or lose
Answer:
profit of $140,910
there is a missing number I will assume that the probability is 1 in 11,000
company expected revenue per policy = $600
companies expected expense = 400,000 * (1/11,000) = -36.36
profit per policy = $536.64
$536.64*250 = $140,910
Step-by-step explanation:
a goat is six times as heavy as its kid if their total mass is 70 kg find each of their masses in kg
plzz help i need it fast
Answer:
10kg and 60 kg.
Step-by-step explanation:
Let the kid's mass be x kg, then the goat's mass is 6x.
x + 6x = 70
7x = 70
x = 10.
10) Joe's farm has 2 pumpkin fields with a total area of 5 3/4 , acres. The big field
yields 2 1/3 Tons of pumpkins and the small field yields 1 2/5 Tons of pumpkins
a) what is the total yield of both fields?
b) what is the total yield per acre for both fields combined?
please somebody can help me
alguien me puede ayudar plis
Answer:
8) her hair was 8 inches long
5.
For which discriminant is the graph possible?
A. b2 – 4ac = –1
B. b2 – 4ac = 0
C. b2 – 4ac = 4
Mary lives 1 3/4 miles from school. She rode her bycycle to school and back for 5 days. Which expression shows how to estimate the number of miles she rode?
The expression which represents the number of miles Mary rode in 5 days is 5*(2 + 2).
What is mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction.
What is expression?An expression is a number, a variable, or a combination of numbers and variables and operation symbols.
According to the given question.
Distance between Mary's house and school = [tex]1\frac{3}{4} =\frac{7}{4}[/tex]
Number of days Mary rode her bicycle to school and back = 5
⇒ Distance travelled by Mary in one day = [tex]2(\frac{7}{4} )=\frac{7}{2}[/tex]
Therefore, the expression which represents the number of miles she rode in 5 days = [tex]5(\frac{7}{2} )=\frac{35}{2}=17.5 miles[/tex] ≈ 20 miles
Hence, the expression which represents the number of miles Mary rode in 5 days is [tex]5[/tex] *(2+2).
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What load can be lifted by an effort of 800N if the effort arm is 80cm and the load arm is 20cm?
Step-by-step explanation:
Solution,
Effort=800N
Effort arm=80 cm
Load arm=20 cm
Load=?
Now,
by the principle of lever, we have
Load×Load arm=Effot×Effort armLoad×20=800×80Load=800×80/20Load=3200 NSo, the load of 3200N can be lifted .
Answer:
load (l) =?
LOAD ARM = 20 CM
EFFORT ( E)= 800N
EFFORT ARM = 80cm
load *load arm = effort *effort arm
l*20 cm = 800 *80
L = 64000/20
answer = 3200
Visual Pantom 2
What would the 10th case look like?
• How many cirdes would be in the 10th case?
• How many cirdes would be in the 100th case? What would it look like?
• How many cirdes would be in the zero case? • What would it look like?
• Can you model the pattern with an expression?
Solve the equation x2 = 5.
o
x = 5
o
x = 25
o x= V5
o x= V5
Answer:
x^2 = 5
x = ±√5
Answer:
x = ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Given
x² = 5 ( take the square root of both sides )
x = ± [tex]\sqrt{5}[/tex] , that is
x = [tex]\sqrt{5}[/tex] or x = - [tex]\sqrt{5}[/tex]
Find the coordinates of the midpoint
Answer:
(2,2)
Step-by-step explanation:
(5+-1/2,8+-4/2)
(-2,2)
Divide. Write your answer in simplest form. −8/9÷(−8/9)=
Answer:
[tex] - \frac{8}{9} \div ( - \frac{8}{9} ) \\ - \frac{8}{9} \times ( - \frac{9}{8} ) \\ = 1[/tex]
I hope I helped you^_^
help plz i will rate
Shelly charges$10 per hour for her babysitting services. Last month Shelly babysat for 15 hours. This month she babysat for n hours.
a. Write an expression using parentheses to describe how much money she made.
b. Given that n= 12, evualte your expression using distributive property.
Answer:
10n+(10 x 15)
or
(10 x n)+150
either way it would be 270
Find the x-intercept and y-intercept of the line.
4x+5y= -20
Answer:y-intercept = -20/5 = -4 x-intercept = -20/4 = -5
Step-by-step explanation:
Answer:
x- intercept = - 5, y- intercept = - 4
Step-by-step explanation:
The x- intercept is where the line crosses the x- axis.
The y- coordinate of any point on the x- axis is zero
Substitute y = 0 into the equation and solve for x
4x + 5(0) = - 20
4x = - 20 ( divide both sides by 4 )
x = - 5 ← x- intercept or (- 5, 0 ) in coordinate form
The y- intercept is where the line crosses the y- axis
The x- coordinate of any point on the y- axis is zero
Substitute x = 0 into the equation and solve for y
4(0) + 5y = - 20
5y = - 20 ( divide both sides by 5 )
y = - 4 ← y- intercept or (0, - 4 ) in coordinate form
PLSSSS HELPPPPPPPPPPPP
Which value of × makes 7+5(x-3)=27+5(x−3)=22, a true statement?
Choose 1 answer:
a=4
b=5
c=6
d=7
Answer:
Option c = 6Step-by-step explanation:
Given,
7+5(x-3)=27+5(x−3)=22
(Taking one of the equation)
=> 7 + 5(x - 3) = 22
=> 7 + 5x - 15 = 22
=> 5x = 22 + 15 - 7
=> 5x = 30
[tex] = > x = \frac{30}{5} [/tex]
=> x = 6 (Option c)
Answer:
Solve the equation for x:
7 + 5(x - 3) = 225(x - 3) = 15x - 3 = 3x = 3 + 3x = 6Correct choice is c
What is the slope of the line?
A phone call costs $0.65 for the first 3 minutes and $0.15 for each additional minute. If the total charge for the call
was $5.00, how many minutes was the call?
Answer:
31 Minutes
Step-by-step explanation:
4.78 = 0.15 + 0.58
0.15m = 4.78 - 0.58
m = 4.78 - 0.58 divided by 0.15 = 28 minutes
So in total we have 28 + 3 = 31 minutes
answer with explanation please
Answer:
The other angle is also 45°
Step-by-step explanation:
They are corresponding angles.
If my answer is incorrect, pls correct me!
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-Chetan K
A Cheetah running at 61 miles per hour is chasing an American Antelope that is running
at a rate of 1583 meters per minute.
Which animal is running at a faster rate?
Answer:
Cheetah
Step-by-step explanation:
American Antelope's speed = 94980 meters per hour
= 59 miles per hour
The Cheetah is faster than the American Antelope
Answer:
Step-by-step explanation:
The American Antelope is going at a rate of 1583 meters / minute
1583 m [ 1 km / 1000 m ] = 1.583 km / minutes
In an hour, the Antelope will go 1.583 km / minute * 60 min / hour
1.583 * 60 = 94.98 km / hour
The cheetah is going 61 miles / hour * 1.6 km / mile = 97.6 km/hour
The Cheetah is not going to go hungry tonight.
i need help!!!! what does x equal?
Answer:
17
Step-by-step explanation:
Answer:
x = 17
Step-by-step explanation:
We can find the missing angle inside the triangle by doing 180 - 94 = 86.
Every triangle has 3 angles that add up to equal 180 so we can set these three angles to equal 180.
60 + 86 + 2x = 180
146 + 2x = 180
Subtract 146 from both sides
2x = 34
Divide by 2 to isolate x
x = 17
14 +3n = 8n - 3(n - 4)
Answer:
n=1
Step-by-step explanation:
Start by distributing the -3 to (n-4)
14+3n=8n-3n+12
Then combine like terms on the right
14+3n=5n+12
Subtract 12 from both sides
2+3n=5n
Subtract 3n from both sides
2=2n
Divide both sides by 2
1=n
