Answer: 292
Step-by-step explanation:
The formula is: [tex]a_n=a_1+(n-1)d[/tex]
Where;
[tex]a_n=[/tex] [tex]n^t^h[/tex] term or the term we're trying to find.
[tex]a_1=[/tex] First term
[tex]d=[/tex] Common difference.
To find the common difference, take [tex]a_2-a_1[/tex], or [tex]a_3-a_2[/tex] or [tex]a_4-a_3[/tex]
4-(-2)=?
4+2=?
6 -> this is our common difference
---------------------------------
10-4=?
6 -> this is our common difference
--------------------------------
16-10=?
6 -> this is our common difference
------------------------------------------------------------
Knowing this, we plug into the formula the number we're trying to find.
[tex]a_n=a_1+(n-1)d\\a_5_0=-2+(50-1)6\\a_5_0=-2+(49)6\\a_5_0=-2+294\\a_5_0=292[/tex]
Answer:
C. 292
Step-by-step explanation:
Simplify the following expression. x^1/3*x^1/5
---------------------------------------------------
x^1/3*x^1/5
Apply exponent rule:
x^1/3*x^1/5= x^1/3+1/5
x^1/3+1/5
Add the fractions:
LCM of 3, 5 is 15
5/15 + 3/15
Since the denominators are equal combine the fractions:
5+3/15
Add the numbers 5+3:
5+3= 8
8/15
x^8/15
Your Answer Is x^8/15
plz mark me as brainliest if this helped :)
Solve 2x+7>+x +19
and can you do the same if 2 was 3.
2nd question is write an expression if 3 was open inequality and line continues past negative 5
Answer:
Step-by-step explanation:
Original problem:
2x + 7 > x + 19
Subtract x from both sides.
x + 7 > 19
Subtract 7 from both sides.
x > 12
Problem with 3 instead of 2.
3x + 7 > x + 19
Subtract x from both sides.
2x + 7 > 19
Subtract 7 from both sides.
2x > 12
Divide both sides by 2.
x > 6
2nd question (I'm not sure I understand it correctly.)
x < 3
Solving 2x + 7 > x + 19
2x + 7 > x + 19
Move 7 by subtracting from both sides.
2x > x + 19 - 7
2x > x + 12
Move x by subtracting from both sides.
2x - x > 12
x > 12
Therefore, x is greater than 12.
Solving 3x + 7 > x + 19
3x + 7 > x + 19
Move 7 by subtracting from both sides.
3x > x + 19 -7
3x > x + 12
Move x by subtracting from both sides.
3x - x > 12
2x > 12
Divide 2 on both sides to get x.
2x/2 > 12/2
x > 6
Therefore, x is greater than 6.
Part 2:
Write an expression for if 3 was open inequality and line continues past negative 5. This may not be correct due to the vagueness of what it's asking.
Expression: x < -5 < 3
x indicates all real numbers less -5
3 is open inequality and is the greatest
The 2nd question is like really vague.
What is the solution to Negative 1 minus 7? A number line going from negative 10 to positive 10. –8 –6 6 8
Answer:
-8
Step-by-step explanation:
plug it into a calculator. its taking 7 away from an already negative number.
Answer:
-8 correct me if im wrong
Step-by-step explanation:
The length of the hypotenuse of a 30 - 60 - 90 triangle is 16 cm.
Find the length of the other two sides.
Answer:
8, 8x square root of 3
Step-by-step explanation:
16=2x
x=8
If g(x) = x^2, find g (3)
Answer:
g(3)=9
Step-by-step explanation:
We want to find what g(x), or y is, when x is equal to 3.
Therefore, we can substitute 3 in for x in the equation
g(x)=x^2
g(3)=3^2
Evaluate the exponent
g(3)=3*3
g(3)=9
Miguel reads about a sea turtle and a manatee. The sea turtle is 3 feet long. The manatee is 4feet times as long as the sea turtle. How long is the manatee??
Answer:
12 4x3=12
Step-by-step explanation:
PLEASE HELP! ASAP!!! Suppose you know two angles, angel A and Angle B, are supplementary. The measure of angle A is 5 times the measure of angle B. Find the measures of the angles. Show your work.
Answer:
B = 30 A= 150
Step-by-step explanation:
There are two unknowns therefore you need two parameters in order to solve.
5B=A
A+B=180
6B=180
B=30
A=150
Calculate the volume of the figure. Use 3.14 for π.
Enter your answer as the number of m3, rounded to the nearest hundredth if necessary, like this: 42.53
Answer:
[tex]586.13\,\,m^3[/tex]
Step-by-step explanation:
Given: Figure
To find: Volume of the figure
Solution:
The given figure is composed of two shapes:cylinder and hemisphere
Radius of cylinder = 4 m
Height of cylinder = 9 m
Volume of cylinder = [tex]\pi (radius)^2height=\pi (4)^2(9)=3.14(16)(9)=452.16\,\,m^3[/tex]
Volume of hemisphere = [tex]\frac{2}{3}\pi (radius)^3=\frac{2}{3}(3.14)(4)^3= \frac{2}{3}(3.14)(64)=133.9733\,\,m^3[/tex]
So,
total volume of the figure = Volume of cylinder + Volume of hemisphere = 452.16 + 133.97 =586.1333 [tex]m^3[/tex]
If 586.1333 is rounded to the nearest hundredth, it becomes 586.13 [tex]m^3[/tex]
Answer:
586.13 is the answer
Step-by-step explanation:
Collete mapped her vegetable garden on the graph below. Each unit represents 1 foot.
Collete plants an 8-foot row of lettuce in the garden. Which points could tell where the row of
lettuce starts and ends?
(-1,-6) and (8, –6)
(-4, -1) and (-4,7)
(-6, -1) and (-6,8)
(-1,-4) and (7,-4)
Help pls
Answer:
(-4,-1) and (-4,7)
Step-by-step explanation:
If Collete planted a row of lettuce, that means their coordinates must have the same vertical coordinate, or the same horizontal coordinate. Another important characteristic is that between those points, there must have 8 units of separation, because it's an 8-foot row.
Only the first choice offers these characteristic to properly represent the row of plants with 8 feet distance between the first and the last plant.
Therefore, the answer is (-4,-1) and (-4,7)
Plane P contains four distinct lines hely, lz, and L. Suppose 4 1 12. lz 1 lg, and lg 1 2. How are 4 and
14 related? Choose the correct answer below.
Answer:
−11y, −4z, w, 8x
Step-by-step explanation:
81, – 4z, – 1ly, w
(1 point)
0-1ly, - 4z, w, 8z
Ow, – 4z, 81, - lly
O -1ly, - 41, 8z, u
O w, 87, - fly, – 4z
Find the value of c that makes each trinomial a perfect square.
x² + 3x+c
Answer:
2
Step-by-step explanation:
Plug in 2 for c in the equation:
x² + 3x + 2
x 2
x 1
(x + 2)(x + 1)
Check. Use the FOIL method:
(x)(x) = x²
(x)(1) = x
(2)(x) = 2x
(2)(1) = 2
x² + x + 2x + 2
Combine like terms:
x² + (x + 2x) + 2
x² + (3x) + 2
2 can be a answer for c.
~
what is the answer to 6a-15< 2(3a+4)?
Answer:
3a<38
Step-by-step explanation:
PLEASE HELP ASAP!!
A candy store sells different sized bags of jelly beans. The line plot shows the weights of ten bags.
Weight of Jelly Bean Bags
Answer:3/8
Step-by-step explanation:1/4 +1/8=3/8
1/4 is equal to 2/8
What are all the numbers congruent to #1?
Answer: All angles are congruient to 1
Step-by-step explanation:
So first of all, that shape is a rectangle. All angles of a rectangle are 90 degrees. So all angles are equal.
Answer: it is 90
Step-by-step explanation: so they are all congruent
5-2 ( 4a + 1 ) + 3a= 13
a. a= - 6/5
b. a=2
c. a= 2/3
d. a= -2
Answer:
a=2/3
Step-by-step explanation:
3(4a+1)+3a=13
12a+3+3a=13
15a+3=13
15a=10
a=2/3
Answer:
-2
Step-by-step explanation:
Just plug -2 into the a spots and them do the math.
Hopes this helps.
Help me please. Im giving 20 points
Brenda is playing hide-and-seek with Cody and Lara. Cody is hiding 16 meters
south of Brenda, and Lara is hiding due east of Cody. If Brenda is 20 meters from
Lara, how far apart are Cody and Lara?
Answer:
36 meters away
Step-by-step explanation:
If you look at the equation you'll see that Cody is 16 meters away from Brenda and Lara is 20 meters away from Brenda, so if you add those two, you'll get the answer. :)
Answer:
i think they are 36 meters apart
Step-by-step explanation:
16 + 20 = 36
so they are 36 meters away from each other
and you could check your answer by doing 36 - 20 = 16 or 36 - 16 = 20
Hope this helpsRate meBrainliest plzIf I have a probability of 2/5, what is the percentage of probability.
A. 52%
B. 40%
C. 2.5%
D. 80%
Answer: 40%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 2/5 as a percent, we need to find a fraction equivalent to 2/5 that has a 100 in the denominator.
We can do this by setting up a proportion.
[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2}{5} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (2)(100) which is 200 is equal to (5)(n) or 5n.
So we have 200 = 5n.
Next, dividing both sides of the equation by 5, we have 40 = n.
So 2/5 is equal to 40/100 or 40%.
which value makes the equation
3x - 6 = 36 true?
a) 10
b)12
c)14
d)16
Answer:
C) 14
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 6 to both sides:
3x - 6 (+6) = 36 (+6)
3x = 36 + 6
3x = 42
Next, divide 3 from both sides:
(3x)/3 = (42)/3
x = 42/3
x = 14
c) 14 is your answer.
~
im having a crisis
2] Simplify: √3∙√6
A. √18
B. 3√2
C. 9√2
D. 4.24
3] 2√5∙4√5
Response: __________
4) The simplified form of √1749 is √177.
A. True
B. False
5) Simplify: √24√6
A. cannot be determined
B. √1446
C. 2
D. √6
6) Solve: 3x2 + 12 = 12
Response: __________
PLEASE HURRY!!!!!!!!! A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $35,070 . The variable costs will be $12 per book. The publisher will sell the finished product to bookstores at a price of $20.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer:
12.5x = 54150
x = 54150%2F12.5
x = 4332 books need to be sold to cover production costs
Step-by-step explanation:
Check:
c = 12.50(4332) + 54150
c = 54150 + 54150
c = 108300
find the missing angle in the triangle
Answer:
60
Step-by-step explanation:
Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!
Answer:
60
Step-by-step explanation:
If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.
Help ASAP please ! Also explain how you got it
Answer:
I believe that the answer is C.
Step-by-step explanation:
Mrs. Patterson’s bakery sells fruit pastries in packages of 15, while chocolate pastries come in packages of 12. What is the smallest number of each type of package you need to buy to get the same number of both type of pastries? Answer: package (s) of fruits, package (s) of chocolate
Answer: 4, 5
Step-by-step explanation:
To answer this, first find the lowest common multiple of 12 and 15.
Simplifying 12 and 15 into their factors, we get (2 * 2 * 3) and (5 * 3).
The lowest common multiple is 3.
You can then multiply each package's value by the other's factors, excluding 3. For example, we could multiply 12 by 5 and 15 by 2 * 2.
Both are equal to 60, which is the lowest number of each type of pastry you can buy in equal amounts.
60 / 15 = 4, the amount of packages of fruits needed
60 / 12 = 5, the amount of packages of chocolates needed
The sum of three consecutive terms of an A.P is 18 and their product is 120. Find the terms?
Answer:
2 6 10
Step-by-step explanation:
7. For a period of time, an island's population of rabbits grows at a rate proportional to its population. If the
population doubles every 17 years and the current population is 196, what will the population be 45 years from
now?
can someone help me with this? i’m desperate
Answer:
The answer is 784
Step-by-step explanation:
You divide 17 from 45 it will equal 2.647 years technically 2 year that the population has doubled.
You multiply 196 by 2 and do that a second time to get 784.
Complete the equation of the line through (−10,3) (−8,−8). Use exact numbers. y=
Answer:
y = -11/2x - 52
Step-by-step explanation:
Now follow the equation for slope: m = change in y / change in x.
[tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{-8-3}{-8--10}[/tex]
[tex]\frac{-11}{2}[/tex]
The slope is -11/2. m=-11/2
Use slope-intercept form:
y=mx+b
Plug in a point and the slope:
-8 = (-11/2)(-8) + b
-8 = 44 + b
b = -52
y = -11/2x - 52
Answer:
-11/2x-52
Step-by-step explanation:
i know it is correct
For the graphed exponential equation, calculate the average rate of change from x = 1 to x = 4.
-1/3
-5/8
-4/5
-7/8
Answer:
b
Step-by-step explanation:
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = -x^2 -5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answer:
f(x) = x^2 has one x-intercept and g(x) = x^2 -7 has two x-intercepts. For f(x) = x^2 to equal g(x) = x^2 -7 you must traslate f(x) = x^2 down seven units.
What is the length of the hypotenuse
Answer: 97ft
Step-by-step explanation:
Using pythagorean's theorem.
[tex]c^2=a^2+b^2\\c=\sqrt{a^2+b^2}[/tex]
where;
a and b are the sides.
[tex]c=\sqrt{(65ft)^2+(72ft)^2}\\ c=\sqrt{4225ft^2+5184ft^2}\\ c=\sqrt{9409ft^2}\\ c=97ft[/tex]
The bag contains red and white balls.the probability of choosing a red ball is 4/9. Find odds of getting a white ball
Answer:
well if there are 9 balls and 4 of them are red than the odd of getting a white one is 5/9 which is 55.56%
