Answer:
3124
Step-by-step explanation:
Answer: -273
Step-by-step explanation: To determine the 72nd term, we will want use our explicit formula which is shown below.
[tex]^{a}n = ^{a}1 + (n - 1)d[/tex]
Since we want to find the 72nd term, the [tex]^{a}n[/tex]
in the formula will be changed to [tex]^{a} 72[/tex].
Also, the 72 will be substituted in for the n
that is inside the set of parentheses.
Then [tex]^{a} 1[/tex] will be the 1st term given in our sequence or 11.
Lastly, the d outside the parentheses is the difference between
each of the terms in the sequence which is -4.
So we now have [tex]^{a} 72 = 11 + (72 - 1)(-4)[/tex].
Now we have all the information we need.
Now we can simplify from here.
Make sure to apply your order of operations because
this is where a lot of students make mistake.
Start simplifying inside the parentheses!
(72 - 1) is going to be 70.
So we have [tex]^{a} 72 = 11 + (71)(-4)[/tex].
Then, we have to multiply before we add.
So (71)(-4) is going to be -284.
So we have [tex]^{a} 72 = 11 + (-284)[/tex].
Solving from here, 11 + (-284) simplifies to -273.
This means that the 72nd term of this sequence is -273.
What is the prime factorization of 200?
2 2 × 5 3
2 3 × 5 2
2 4 × 5
2 × 5 4
Answer:
2^3 * 5^2
Step-by-step explanation:
We need to break 200 down into prime numbers
200 = 20*10 These are not prime
= 4*5 * 2*5 The 4 is not prime
= 2*2*5 * 2*5 This is prime
Rearranging
= 2*2*2*5*5
= 2^3 * 5^2
Answer:
2 3x5 2
Step-by-step explanation:
A bag has 24 marbles: 6 green, 6 red, and 12 blue. Lucy reaches in the bag and picks out 1 marble. Answer the following:
What is the total number of marbles?
What is half the total number of marbles?
Name an event that is impossible:
Name an event that is certain:
Name an event that is as likely as not:
Name an event that is more likely than not:
Name an event that is unlikely:
Final answer:
The bag has 24 marbles, with 12 marbles constituting half of the total. An impossible event would be drawing a marble color not present in the bag, while a certain event is the act of drawing a marble itself. A likely event is drawing a blue marble due to its greater number in the bag.
Explanation:
The total number of marbles in the bag is 24 marbles. Half the total number of marbles would be 12 marbles.
An impossible event would be Lucy picking out a marble that is not green, red, or blue since those are the only colors available in the bag.
A certain event is Lucy picking a marble from the bag, as there are marbles to be picked.
An event that is as likely as not is Lucy picking out a red marble since the probability of picking a red marble is 6 out of 24, which simplifies to 1 out of 4.
An event more likely than not is Lucy picking out a blue marble, given there are 12 blue marbles out of 24.
An unlikely event is Lucy picking out a green marble since there are only 6 green marbles out of 24.
Bo and Erica are yoga instructorsBetween the two of themthey teach 36 yoga classes each week11 teaches 12 fewer than twice as many as Bo, how many classes does each instructor teach per week?
Answer: The original price is $317.3885 or $317.38
Step-by-step explanation: Okay So first I went on google then I put
275.99 - 15% and got 234.5915 So then I put 275.99-234.5915 and got 41.3985 Then I put 275.99+41.3985 and got 317.3885 So the original price is $317.3885 or $317.38
I Hoped This Helped
Bo teaches 16 classes per week and Erica teaches 20 classes per week.
To find out how many yoga classes Bo and Erica each teach per week, we can set up a system of equations based on the given information.
Let B represent the number of classes Bo teaches per week. Let E represent the number of classes Erica teaches per week.
According to the problem, the total number of classes taught by Bo and Erica is 36:
Equation 1: B + E = 36
Also, we know that Erica teaches 12 fewer than twice as many classes as Bo:
Equation 2: E = 2B - 12
We can substitute the expression for E from Equation 2 into Equation 1:
B + (2B - 12) = 36
Simplify and solve for B:
B + 2B - 12 = 363B - 12 = 363B = 48B = 16So, Bo teaches 16 classes per week. Now we can find out how many classes Erica teaches by substituting B back into Equation 2:
E = 2(16) - 12
E = 32 - 12
E = 20
Therefore, Erica teaches 20 classes per week.
Thus, Bo teaches 16 classes per week and Erica teaches 20 classes per week.
According to the bar chart, what is the median of number of times a teenager reminded to do chores a week?
A) 1
B) 2
C) 3
D) 3.1
Answer: C
Step-by-step explanation: I did the math
The middle values are both 3, so the median is 3.
Option C is the correct answer.
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
To find the median of the number of times a teenager is reminded to do chores a week, we need to arrange the responses in order from smallest to largest, and then find the middle value.
From the bar graph, we can see that the number of reminders ranges from 0 to 5, and the frequencies are not evenly distributed.
To determine the median, we need to count the total number of responses and find the middle value.
The total number of responses is:
2 + 5 + 8 + 14 + 7 + 4 = 40
Since there are an even number of responses, we need to find the average of the two middle values.
The two middle values are the 20th and 21st values when we arrange the responses in order:
0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5
Thus,
The middle values are both 3, so the median is 3.
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Monique has five weeks to save at least $80 for a ski trip. Let n represent the amount she has to save each week.
Write and solve an inequality to find the amount of Money Monique needs to save each week.
Answer:
n ≥ 80/5
n ≥ 16
Step-by-step explanation:
please see the attached file for more explanation
How many days are in a monthly billing cycle that ends on Feb. 13?
Answer:
31 days?
Step-by-step explanation:
There are 31 days from Janurary 13 to Feburary 13.
There are total 31 days in a monthly billing of cycle.
What is mean by Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Some of the measure units are to measure them.
Given that;
Last date for a monthly billing cycle is Feb 13.
Now,
Find the days for monthly billing as;
Since, Last date for a monthly billing cycle is Feb 13.
So, Its start with 13 Jan for monthly billing.
Since, There are 30 or 31 days in every Month of a year.
So, From 13 Jan to 13 Feb, it take one month for monthly billing of cycle.
And, It is equal to 31 days.
That's mean; There are 31 days in between 13 Jan to 13 Feb.
Therefore, There are total 31 days in a monthly billing of cycle.
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Find the volume of a pyramid with a square base, where the side length of the base is
18.5
in
18.5 in and the height of the pyramid is
10.9
in
10.9 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
The volume of a pyramid is 1243.5 cubic inches.
Step-by-step explanation:
Given : A pyramid with a square base, where the side length of the base is 18.5 in and the height of the pyramid is 10.9 in.
To find : The volume of a pyramid ?
Solution :
The volume of the pyramid is [tex]V=\frac{1}{3}a^2 h[/tex]
Where, a=18.5 in. is the side length of the base
h=10.9 in. is the height of the pyramid.
Substitute the value,
[tex]V=\frac{1}{3}\times (18.5)^2\times 10.9[/tex]
[tex]V=\frac{1}{3}\times342.25\times 10.9[/tex]
[tex]V=1243.50\ in^3[/tex]
Therefore, the volume of a pyramid is 1243.5 cubic inches.
Answer:
1243.5
Step-by-step explanation:
it just 1243.5
20% as a fraction in simplest form explain
Answer:
1/5
Step-by-step explanation:
20 goes into 100 5 times
therfore, it is one fifth of one hundred
in percentages, 100 % is the whole number
Answer:
1/5
Step-by-step explanation
A number given as a percent is actually a fraction already, the denominator is out of 100. Now change it to its simplest form by dividing the top and bottom by the HCF, which is 20.
how do you evaluate a logarithm
The steps to evaluate a logarithm.
- Identify the base of the logarithm.
- Rewrite the logarithm in exponential form with the base as the base of the exponent and the argument as the result of the exponentiation.
- Simplify the exponential expression.
- If the result is a fraction, simplify it if possible.
- If the result is a decimal or irrational number, use a calculator to get an approximate value.
What is a logarithm?A logarithm is a mathematical function that measures the relationship between the relative sizes of two quantities.
It is defined as the inverse of exponentiation.
That is, if [tex]a^b[/tex] = c then [tex]log_ac[/tex] = b, where a is the base of the logarithm, b is the exponent, and c is the result of the exponentiation.
We have,
To evaluate a logarithm,
Follow these steps:
- Identify the base of the logarithm.
- Rewrite the logarithm in exponential form with the base as the base of the exponent and the argument as the result of the exponentiation.
- Simplify the exponential expression.
- If the result is a fraction, simplify it if possible.
- If the result is a decimal or irrational number, use a calculator to get an approximate value.
For example,
To evaluate [tex]log_28[/tex].
Follow these steps:
- The base of the logarithm is 2.
- Rewrite the logarithm in exponential form:
2³ = 8
- The exponential expression simplifies to 8.
- No further simplification is necessary.
The exact value is 2³= 8.
Thus,
To evaluate a logarithm follow the steps above.
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Final answer:
To evaluate a logarithm, use the calculator's log button for the common logarithm or calculate 10 raised to the power of the logarithmic value for the inverse log. Logarithmic properties simplify expressions by converting multiplication into addition and exponents into multiplication.
Explanation:
Understanding and Evaluating Logarithms
To evaluate a logarithm, one can use a calculator's log button to find the common logarithm, which is based on base 10. If you have a logarithm and wish to find the actual number it represents, you take the inverse log of the logarithm. This can also be expressed as 10 to the power of the logarithmic value.
For instance, to evaluate log(100), you would press the log button on your calculator and then enter 100. The result would be 2, since 10^2 = 100. If you have the logarithm value, say 3, and want to find the number it corresponds to, calculate 10^3, which equals 1000.
Furthermore, logarithmic properties can be used to simplify expressions and solve equations. If you take the log of two numbers being multiplied, you can add their individual logs. Additionally, taking the log of a number raised to an exponent allows you to move the exponent in front of the log, thus multiplying the exponent by the log of the number.
During the seventeenth century, the principle of the logarithm was developed by Napier. Logarithms transform multiplication into addition, which simplifies many computations, like using antilogarithms and slide rules for multiplication.
Mike purchases a round wall clock the clocks radius is 10m what is the circumference of the clock
Answer:
62.8m
Step-by-step explanation:
Answer:
C = 20pi m or approximately 62.8 m
Step-by-step explanation:
The circumference is given by
C = 2*pi*r
= 2* pi *10
= 20 pi
We can approximate pi by 3.14
= 20*3.14
62.8
26)
If A represents the price of a t-shirt, which expression represents the total cost of 7 t-shirts?
A+7
A-7
Ax7
A÷7
Answer:
Ax7 is the answer
Step-by-step explanation:
yeah goodluck
Answer:
A*7
Step-by-step explanation:
There are seven shirts so the price is multiplied by 7.
could also be represented as A7
What’s 75+127-76= and what’s 75% of the answer
Answer: 94.5
Step-by-step explanation:
First do the addition, then subtract, then do 75% / 126 and you get 94.5
Answer:
94.5
Step-by-step explanation:
75+127-76= 126
Then change 75% to a decimal .75 and multiply it by 126
126 X .75=
(X^-4)(x^10)=x^p
Help:(
Answer:
Step-by-step explanation:
[tex](x^{-4})*(x^{10})=x^{p}\\\\x^{-4+10}=x^{p}\\\\x^{6}=x^{p}\\[/tex]
Compare the powers, p = 6
i need help plzzzzzzz answer this for ten points????
Answer:
The first one: Kilo-liters to milliliters.
When converting on the metric table, always remember:
Converting from larger to smaller you multiply. Converting from smaller to larger, you divide.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
May i have brainly
PLEASE
of 100 patients that a nurse treat in one week 20 of them had the flu. what is the probability percentage that the next patient treated by the nurse will not have the flu?
Answer:
80%
Step-by-step explanation:
20% of 100 is 20, 100-20 = 80
I need help please !!!!!!!!
Answer:
a= 1
b= 3
c= 1
d=2
e= 6
f= 8
Step-by-step explanation:
Plug the x value into the equation above the letter that you solve for.
This would give
a = 2^0 = 1 (since any number to the zero power is 1)
b = 3* 2^0 = 2 (we already know what 2^0 is we just have to multiply it with 3)
c= 2^ (3*0) = 2^0= 1 (when 3x is saying that you multiply the x value by zero then raise 2 to what that equals. any number times zero is zero and any number raised to the zero power is 1.
d= 2^1 = 2 (any number to the first power is that number)
e= 3* 2^1(we already know the value of 2^1 is we just have to multiply it with 3)
f= 2^(3*1)= 2^3 = 8 ( same rules as with c just multiply x, which equals 1 in this case with 3. 1 times any number is that number so you get 3. then raise 2 to the 3rd power which is 8.
I just need help asap
Answer:
114
Step-by-step explanation:
37+29&hshdhudjeuxjejjdhevhzyvebsuu ygrjuctrvejjcuuwvvxhij2b
Answer:
78
Step-by-step explanation:
Use law of sines, any you get:
sin(A)/(37) = sin(50)/29
You multiply both sides by 37:
sin(A) = 37sin(50)/29
You do arcsin, and get:
A = arcsin(37sin(50)/29)
Which simplifies to
77.7867635744, which is approx. 78
Two young sumo wrestlers decided to go on a special diet to gain weight rapidly. They each gained weight at a constant rate.
The weight (in kilograms) of the first wrestler as a function of time (in months) is given by the following table of values:
Time\text{Time}
Time
start text, T, i, m, e, end text
(months)
Weight\text{Weight}
Weight
start text, W, e, i, g, h, t, end text
(kilograms)
33
3
3
9595
95
95
4.54.5
4.5
4, point, 5
101.75101.75
101.75
101, point, 75
66
6
6
108.5108.5
108.5
108, point, 5
The graph of the weight (in kilograms) of the second wrestler as a function of time (in months) is shown below.
Which wrestler weighed more at the beginning of the diet?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The first wrestler
(Choice B)
B
The second wrestler
(Choice C)
C
They weighed the same
Which wrestler gained weight faster?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The first wrestler
(Choice B)
B
The second wrestler
(Choice C)
C
They both gained weight at the same rate
1\small{1}
1
2\small{2}
2
3\small{3}
3
4\small{4}
4
5\small{5}
5
6\small{6}
6
7\small{7}
7
8\small{8}
8
9\small{9}
9
10\small{10}
10
20\small{20}
20
30\small{30}
30
40\small{40}
40
50\small{50}
50
60\small{60}
60
70\small{70}
70
80\small{80}
80
90\small{90}
90
100\small{100}
100
110\small{110}
110
120\small{120}
120
Time (months)
Weight (kilograms)
The second wrestler weighed more at the beginning of the diet and gained weight faster.
Explanation:The first wrestler weighed 95 kilograms at the beginning of the diet, while the second wrestler weighed 101.75 kilograms. Therefore, the second wrestler weighed more at the beginning of the diet. To determine which wrestler gained weight faster, we can compare the rates at which they gained weight. The first wrestler gained 4.5 kilograms in 6 months, while the second wrestler gained 8.75 kilograms in the same time period. Therefore, the second wrestler gained weight faster.
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Combining Like Terms to Solve Equations
q/3+7=12
show how you got the answer
Answer:
Step-by-step explanation:
ok i am assuming q and 3 are being divided
q/3+7=12
-7 -7
q/3=5
*3 *3
q=15
Answer:
q=15
Step-by-step explanation:
First, you subtract 7 from both sides of q/3+7=12 and you will get q/3=5. Then you multiply both sides by 3 and you get q=15.
why didn't bob drink a glass of water with 8 pieces of ice
Answer:
IT WAS TO CUBED
Step-by-step explanation:
Round to the nearest thousand then subtract
f(x)=−4x ^ 2 +10 {Find }f(-2)
Answer:
[tex]f(-2) = -6[/tex]
Step-by-step explanation:
Step 1: Set x to -2
[tex]f(-2) = -4(-2)^2 + 10[/tex]
[tex]f(-2) = -4(4) + 10[/tex]
[tex]f(-2) = -16 + 10[/tex]
[tex]f(-2) = -6[/tex]
Answer: [tex]f(-2) = -6[/tex]
A cylinder net is shown and the height is 10 inches high and has a radius of 2 inches. what is the surface area? Let π = 3.14.
a) 25 in2
b) 126 in2
c) 151 in2
d) 302 in2
Answer:
C
Step-by-step explanation:
find the area of the circles on the top and bottom with area of a circle being pie r squared
[tex]2(\pi 2^{2} )[/tex]=25.12
Find the area of the rectangle, with the height being one side and the circumference of the circle being the other
[tex](2\pi (2)) 10=125.6[/tex]
add the two together to get 150.72 and round
How do you think inequalities are different from equations you have worked with before?
Answer:
Inequalities are different from equations. If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses.
Which ordered pair is a solution of the equation?
y-3=5(x-2)
A. Only 2,3
B. Only 3,2
C. Both 2,3 and 3,2
D. Neither
Answer
A only (2,3)
Step-by-step explanation:
If you graph it or plug it into Desmos that can also help
The ordered pair (2,3) is a solution to the equation y-3=5(x-2), but the ordered pair (3,2) is not. Therefore, the correct answer is option A: Only (2,3).
Explanation:In this Mathematics problem, we are asked to find which ordered pair is a solution to the equation y-3=5(x-2). An ordered pair is written in the form (x, y), so we'll test each option to see which one, if any, is a solution to the equation.
Let's start with option A, (2,3). If we substitute x with 2 and y with 3, we will have 3-3 = 5(2-2), which simplifies to 0 = 0. This equation is true, so the ordered pair (2,3) is a solution.
Next, we'll look at option B, (3,2). If we substitute x with 3 and y with 2, we will have 2-3 = 5(3-2), which simplifies to -1 = 5. This equation is not true, so the ordered pair (3,2) is not a solution.
Option C suggests that both (2,3) and (3,2) are solutions, but we've already established that (3,2) is not a solution to the equation.
So, based on our calculations, the correct answer is option A: Only (2,3) is a solution.
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An online store holds a sale. Of the 400 customers who make purchases during the sale, 80 use a coupon. What percent of the customers do not use a coupon?
Answer:
80%
Step-by-step explanation:
If there are 400 people total and 80 of them have coupons, then 320 people don’t have coupons. Divide 320 by 400 and you will get 0.8, which is 80%.
The required percentage of the customers not using coupon is 80%.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
Given that,
The total number of customers is 400.
And, those using coupon are 80.
Then, number of customers not using coupon are 400 - 80 = 320
Thus, the percentage of the customers not using coupon is given as,
320/400 × 100
= 8/10 × 100
= 80%
Hence, percent of the customers do not use a coupon is 80%.
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Which is the principal value of arctan (3.7)?
PLEASE HELPP CANT GET IT WRONG
Answer:
1.42π rad
Step-by-step explanation:
Principal value are known to be the largest value that can be equivalent to the trigonometry expression given.
Given
θ = arctan (3.7)
θ = 74.9°
The principal value of the angle can be found in the 3rd quadrant.
In the third quadrant, the angle gotten will become 180° + 74.9°
= 254.9°
Converting to radians
Since πrad = 180°
x = 254.9°
180x = 254.9π
x = 254.9π/180
x = 1.42π rad
The principal value of the angle is 1.42π rad.
Answer:
1.31
Step-by-step explanation:
is -7x a monomial , a binomial or a trinomial
Answer:
Monomial
Step-by-step explanation:
A binomial has 2 terms(e.g. 2x + 3)
A trinomial has 3 terms(e.g. [tex]2x^{2} + 2x + 5x^{3}[/tex] )
which table represents an exponential decay function
Answer:
A. III.
Step-by-step explanation:
Hope this helps!
As x increases, y should decrease for an exponential decay.
I is linear. IV represents an exponential growth. II is not even function and III represents exponential decay.
8/10 divided by 1/2=?
show how you got the answer
Answer:
here you go
its 8/5 as a fration