Answer:
[tex]a_{n}[/tex] = - 8n + 10
Step-by-step explanation:
there is a common difference between consecutive terms , that is
- 6 - 2 = - 14 - (- 6) = - 22 - (- 14) = - 8
this indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 2 and d = - 8 , then
[tex]a_{n}[/tex] = 2 - 8(n - 1) = 2 - 8n + 8 = - 8n + 10
Write the equation of the line going through the points A(3, 2) and B(5, -4). Then graph.
How many triangles can be constructed with side lengths of 6.4 cm, 8.3 cm, and 14.6 cm? 0 1 more than one
Answer:
Only one triangle is possible.
Step-by-step explanation:
Triangle inequality says that if sum of any two sides of the traingle is greater than the third side, then the triangle is possible.
Here,
,
Therefore, a triangle is possible with the given measurements,
Let us assume there is another triangle with same measurement with same measurements 7 cm, 6 cm, and 9 cm.,
By SSS congruency criteria both the triangles will be congruent.
Thus, all triangles with same measurement will be congruent to each other.
Hence, only one triangle is possible.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!
Answer:
E, 3/2
Step-by-step explanation:
First, say that the numerator is 2^2001 * 3^2001 * 3^2, so that the powers will align. Then, we can combine 2^2001 and 3^2001 for 6^2001. If we ignore the 3^2, we get 6^2001/6^2002, which simplifies to 1/6. If we multiply 9 (which is 3^2) to 1/6, we get 9/6=3/2. This is a pretty tough question. Hopefully this helps!
What is Greatest value of 33,103
Answer: the greatist value is 30,000
Step-by-step explanation:
The first term of an arithmetic sequence is 1, another term of the sequence is 91 and all of the terms of the sequence are integers. How many distinct arithmetic sequences meet these three conditions?
Answer:
108r4
Step-by-step explanation:
91+16 yea go install senebratic
Answer:
It has been answered and I need some point so I hope you don't mind lol
Step-by-step explanation:
Choose the option that best completes the following statement.
If two polygons ___________, then they have the same area.
are congruent
have the same number of sides
have the same number of angles
are similar
Answer:
are congruent
Step-by-step explanation:
If two polygons are congruent, then they have the same area.
Two polygons are congruent if their corresponding sides and angles are congruent. Note: Two sides are congruent if they have the same length and angles are congruent if they have the same measure. We indicate that angles are congruent by putting the same number of slash marks through each angle.
What is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table to help answer the question. A normal curve with a peak at 0 is shown. The area under the curve shaded is negative 1 to positive 2. Z Probability 0. 00 0. 5000 1. 00 0. 8413 2. 00 0. 9772 3. 00 0. 9987 0. 16 0. 68 0. 81 0. 84.
The area under the curve shaded is -1 to 2 is 13.59%.
The z score is a measure used in statistic to determine by how much standard deviations the raw score is above or below the mean.
If the raw score is greater than the mean then the z score is positive but if the raw score is less than the mean then the z score is negative.
What is the formula for the z score?
The formula of z score
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]\mu=mean[/tex]
[tex]\sigma=standard deviation[/tex]
x=raw score
From the normal distribution table,
Area between z = -2 and z =-1 is given by
P(-2 < z < -1) implies that P(z < -2) - P(z < -1) that is
P(z < -2) - P(z < -1) = 0.1587 - 0.0228
P(z < -2) - P(z < -1) = 0.1359
P(z < -2) - P(z < -1) = 13.59%
Therefore we get the area under the curve shaded is -1 to 2 is 13.59%.
To learn more about the area under the curve visit:
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two numbers are respectively 20% and 50% more than the third number find the ratio of the two numbers. plz answer. will mark brainliest
does anyone know the exponent rules
The exponent rules are given below.
We are given that;
To state exponent rules
Now,
Exponent rules are the laws or principles that govern the operations on numbers or variables with exponents. An exponent is a number or a variable that tells how many times to use the base in a multiplication.
There are different exponent rules for different situations, such as multiplying, dividing, raising to another power, or having a negative or fractional exponent. Here is a table of some common exponent rules with examples:
| Rule | Example |
[tex]| x^1 = x | 6^1 = 6 |[/tex]
[tex]| x^0 = 1 | 7^0 = 1 |[/tex]
[tex]| x^-1 = 1/x | 4^-1 = 1/4 |[/tex]
[tex]| x^m * x^n = x^(m+n) | 2^3 * 2^4 = 2^(3+4) = 2^7 |[/tex]
[tex]| x^m / x^n = x^(m-n) | 2^5 / 2^3 = 2^(5-3) = 2^2 |[/tex]
[tex]| (x^m)^n = x^(mn) | (2^3)^2 = 2^(3*2) = 2^6 |[/tex]
[tex]| (xy)^n = x^n * y^n | (3*4)^2 = 3^2 * 4^2 |[/tex]
[tex]| (x/y)^n = x^n / y^n | (4/2)^3 = 4^3 / 2^3 |[/tex]
[tex]| x^(m/n) = n-th root of x^m | 2^(6/3) = cube root of 2^6 |[/tex]
We can use these rules to simplify expressions with exponents or to perform calculations with them.
Therefore, by exponentiation answer will be given.
Learn more about exponentiation here:
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The complete question is;
List all the rules of exponentiation.
How are parallelograms and rectangles similar and how are they different?.
Solve the equation for z.
-2z + b = h
Answer:
z= - 1/2h + 1/2b
Step-by-step explanation:
-2z + b = h
-2z = h - b
z= - 1/2h + 1/2b
Kaya rented a limousine for prom. There was one-time charge of $100, plus an hourly rate of $45. Her total cost for the night was $347.50. How many hours did Kaya rent the limo for?
Answer:
5 and a half hours
Step-by-step explanation:
347.5-100=247.5
247.5/45=5.5
Answer:
Kaya rented the limo for about 5 and a half hours
Hope this helps! good luck :)
A school sells pizza slices at the concession stand during each sporting event. The school sells a mean of
200 slices per event with a standard deviation of 25 slices.
The school spends $160 of fixed costs to buy the pizza before the event and earns a revenue of $2 per
slice. They calculate their profit per event according to this formula:
profit
(total revenue) – (total costs]
What will be the mean and standard deviation of the distribution of profit per event?
Answer:
μ = $240
σ = $50
Step-by-step explanation:
Profit is revenue minus cost:
P = R – C
The revenue is $2 times the number of slices sold, and the cost is $160.
P = 2x – 160
The average profit is:
μ = 2(200) – 160
μ = 240
The standard deviation is:
σ = 2(25)
σ = 50
PLEASE HELP!!!
A school has 3 tons of gravel to be
spread over the playground. The
members of the landscaping crew
can move 80 pounds of gravel in each
wheelbarrow load.
How many wheelbarrow loads will it take to move all the gravel?
Using proportions, it is found that it will take 75 loads to move all the gravel.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In one load, they mode 80 pounds. How many loads are needed to move 3 tons = 3 x 2000 = 6000 pounds? The rule of three is given as follows:
1 load - 80 pounds
x loads - 6000 pounds
Applying cross multiplication:
80x = 6000
x = 6000/80
x = 75.
It will take 75 loads to move all the gravel.
More can be learned about proportions at https://brainly.com/question/24372153
trigonometry Review!
Trigonometric Ratios: Find each trig ratio. Give your answer as a fraction in simplest form.
Answer:
9. Tan(57°)=~9.24 or 231/25
10. Sin(31°)= ~9.79 or ... 979/100
11. Sin(x°)= 15/23
12. Tan(x°)=37/8
Step-by-step explanation:
9. For the side length, we must use the given angle and the given side. We want to find the opposite given the adjacent side length of 6. We multiply tan(57°) by 6 using a scientific or graphing calculator and we get the answer 9.24 (after rounding) and then convert to a fraction in simplest form since it asked for a fraction. We would get 231/25
10. Just like the last question, we are given the opposite side length but not the hypotenuse. For this, we use sin. Multiply sin(31°) by 19 and we will getb 9.79 after rounding. Convert this into a fraction and we get 979/100 as the simplest form.
11. For this question we have 2 sides but not the angle. For this, we must use the SOH CAH TOA rule and just connect the pieces. We have the opposite and the hypotenuse or OH which means we have S which is sin. We then write Sin(x°)=15/23
12. For this we have the adjacent and opposite which is OA and that leaves us with T which is Tan(x°)=37/8. Remember that opposite comes before adjacent which is why it isn't 8/37. Hope this helps! (btw I'm not a bot)
A number less than 12
Than is a switch word
Answer:
N 12
Step-by-step explanation:
4= 2f -2 i need help
Answer:
f=3
Step-by-step explanation:
4=2f-2
6=2f
f=3
Answer:
f=3
Step-by-step explanation:
Kaitlin drove 567 miles in 9 hours. At the same rate, how long would it take her to drive 819 miles? hours
Answer:
13 hours
Step-by-step explanation:
to drive 567 miles in 9 hours you would be going 63mph and it would take 13 hours at 63 mph to travel 819 miles.
3. You have a job where you make $15 an hour. You want to
earn $165 this week so that you can buy a new stereo. How
many hours, h, do you have to work in order to earn the $165?
Answer:
11 hours
Step-by-step explanation:
600 is invested for 3years at a 9% how much simple interest will be earned
we have to work money every day
A car takes 50.2 seconds to travel 1 mile. How long does it take the car to travel 5.3? First round to the nearest whole number to find the estimated answer. Then find the exact answer.
And angle measure 88. 2 more than a measure of is complimentary angle what is the measure of each angle
Answer: 90 degrees
Step-by-step explanation: ez
Jake has a container in the shape of a rectangular prism. The base of the container is 30 centimeters long and 20 centimeters wide. Jake pours 0.5 gallons of water into the container. How high, in centimeters, will the water reach in the container? Note that 1 gallon is approximately equal to 3.8 liters and 1cm3 of volume can hold 1 milliliter of water.
Answer:
3.16cmStep-by-step explanation:
Given that
1gallon=3.8liters
0.5gallon=x
x=0.5*3.8
x=1.9liters
we know that 1liter is 1000cm^3
1.9liter is x
x=1900cm^3
Now we have the volume of water poured in cm^3
the volume of a rectangular prism is
volume=l*w*h
1900=30*20*h
1900=600h
h=1900/600
h= 3.16cm
If two angles are a linear pair, then they add to equal 180
Find the geometric mean of 17 and 36.
Answer:
25 is the geometric mean for two numbers
the area of trapezium is 40cm parallel sides is 12 cm and 8cm the distence between the parallel sides are
Step-by-step explanation:
Area of trapezium= 40cm²
½ h(b1+b2)=40
½ h (12+8)=40
½h (20)=40
h=40×2/20
h=4cm
order the numbers from least to greatest 8.062, 8.26, 8.026, 8.6
Kim is trying to lose weight. She is currently 186 lbs. Her goal is to lose 2.2 lbs. a week until she is down to 153 lbs. How many weeks will it take her to get to her goal weight?
HELLPPPP WHAT DOES D=
Answer:
d=8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
16*9=144
144/6=24
24/3=8
d=8
A rational function that has a domain of x # 1 and x 4 and passes through
(-3, 3). Find the function.
Step-by-step explanation:
If the domain doesn't have 1 or 4 in it. This means 1 and 4 are the zeroes of the denomiator of the rational function.
So
[tex](x - 1)(x - 4)[/tex]
[tex]( {x}^{2} - 5x + 4)[/tex]
So that is the denomiator.
The numerator passes through (-3,3).
Let A represent a posible value of the numerator.
[tex]y = \frac{a}{( {x}^{2} - 5x + 4) } [/tex]
Plug in -3 for x and 3 for y.
[tex]3 = \frac{a}{ - 3 {}^{2} - 5( - 3) + 4 } [/tex]
[tex]3 = \frac{a}{9 + 15 + 4} [/tex]
[tex]3 = \frac{a}{28} [/tex]
[tex]84 = a[/tex]
So one possible function is
[tex]y = \frac{84}{ {x}^{2} - 5x + 4 } [/tex]