Answer:
The equation a + d(n-1)
Step-by-step explanation:
Where a is the first number in the sequence, d is the common difference and n is the position of a certain number in the series, e.g
1, 2, 3, 4, 5: a = 1, d = 1 (because 2-1=1, 3-2=1, 4-3=1, etc) and n = 1,2,3...
2, 4, 6, 8, 10: a = 2, d = 2 (because 4-2=2, 6-4=2, etc) and n = 1,2,3,4,5...
So for the second sequence, we could try to get the value of n in n = 6 as follows:
a + d(n-1) where a = 2, n = 6 and d = 2
Thus, 2 + 2(6-1) = 2 + 2(5) = 2 + 10 = 12
So the sixth number in the series would be 12
You need 2.5 pounds of potatoes. If each potato weighs 5 ounces, how many potatoes will you need?
Answer:
40 potatoes.
Step-by-step explanation:
16 ounces make a pound, so you multiply that by 2.5 and you get 40.
The partial blueprint for an office building shows one outer wall and a perpendicular inner wall. Which of the following could be the equation of the inner wall, if the outer wall is represented by the equation y = 2/5x − 1?
Please help I am struggling really badly
Answer:
The equation of the perpendicular line:
2x + 5y = ╼ 15
may anyone please help me with my math , Thank you very much. the choices are just S or N :)
Answer:
1. N, 2. S, 3. S, 4. S, 5. N*
Step-by-step explanation:
By "similar," I'm assuming you mean the same thing as "like" terms. Those are exactly the same (same variables and same exponents) but could have different coefficients (the number in front).
1. N variables are not the same
2. S variables are the same, exponents are the same
3. S same variables; same exponents (x^3 y^2 is the same as y^2 x^3)
4. S
5. N first term has z^2 in it; the second does not
*P.S. I'm having some trouble distinguishing your "two" from "zee."
If the 2nd expression is
[tex]\frac{1z zyx}{2}[/tex] then the terms are similar.
A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture?
A land for farming has a square-shaped piece of land and an isosceles triangular shaped piece of land that share a base. The square piece of land has a side length of 450 feet. The triangle has legs of 255 feet and height of 120 feet.
Answer:
$500625
Step-by-step explanation:
$27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture? A land for farming has a square-shaped piece of land and an isosceles triangular shaped piece of land that share a base. The square piece of land has a side length of 450 feet. The triangle has legs of 255 feet and height of 120 feet. area shape square = 450 *450 Square Area = 202500 SQft perimeter = 450* 4 =1800 Ft TRIANGLE = Hypotenuse is given by formula H=B√2 but height is already given = 120 and 255 area = Height * Base = 120 * 255 =Triangle Area = 30600 feet squared perimeter = 255 * 3 = 765 Ft fence perimeter is 765-255 = 510 feet total area = 202500+ 30600= 233100 square foot = 233100* $2 = (*2) = $466200 total fence = 765+510 = 1275 feet = 1275(*$27) = $34425 Total cost = 466200+34425 = $500625
How many square feet of carpet are needed to cover the floor of a rectangular room 18 ft. by 12 ft.?
Answer: Area of the rectangular room = length x Breadth
Length= 18 and Breadth = 12
Therefore the Area required to cover the floor = 18 * 12 = 216 ft2
The area of the rectangular room is given by the equation A = 216 feet²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Now , the equation will be
The length of the rectangular room = 18 feet
The width of the rectangular room = 12 feet
Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of the rectangular room = 18 feet x 12 feet
On simplifying the equation , we get
Area of the rectangular room A = 216 feet²
Therefore , the value of A is 216 feet²
Hence , the area of the rectangular room is 216 feet²
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Under what circumstance can the quadratic function not be written in factored form
Answer:
When the discriminant of a quadratic function is negative than it is not be written in factored form.
Step-by-step explanation:
If a quadratic function is [tex]f(x)=ax^2+bx+c[/tex], then
1. It is factorable if [tex]D=b^2-4ac\geq 0,[/tex] i.e., graph of function intersect the x-axis, roots of the function are real.
2. It is not factorable if [tex]D=b^2-4ac< 0,[/tex] i.e., graph of function does not intersect the x-axis, roots of the function are imaginary or complex.
It means, the quadratic function not be written in factored form when the discriminant of a quadratic function is negative.
Find the value of -3p²+4p+7 if p= -2
Answer:
-13
Step-by-step explanation:
-3(-2)^2 + 4(-2) + 7
-3(4) - 8 + 7
-12 - 8 + 7
-13
Hey there!
Plug in the value of p and solve:
-3p²+4p+7
-3(-2)²+4(-2)+7
-3(4)-8+7
-12-8+7
-12-1
-13
Hence, the answer is -13.
Hope everything is clear.
Let me know if you have any questions!
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:-)
An apartment has two closets. Closet #1 is 4 feet long and 5 feet deep; Closet #2 is 6 feet long and 3 feet deep. Both closets are 8 feet tall. Which closet is larger?
Answer:
Closet #1.
Step-by-step explanation:
Closet #1 is 4x5x8, right? so, 4x5=20, and 20x8=160 feet. Closet #2 is 6x3x8, and 6x3 is 18. That's already less than 20 even before we multiply by 8. So, the answer to your question is Closet #1.
Answer:
Answer: The first closet is larger.
Step-by-step explanation:
Closet #1
V = l × w × h
V = 4 ft. × 5 ft. × 8 ft.
V = 160 cu. ft.
Closet #2
V = l × w × h
V = 6 ft. × 3 ft. × 8 ft.
V = 144 cu. ft.
Compare the size of the closets
160 cu. ft. > 144 cu. ft.
Answer: The first closet is larger.
Which of the following is the best first step to convert the following equation to slope
intercept form?
2-4y =-12
Answer: y=7/2 in decimal form 3.500
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2-4*y-(-12)=0
Pull out like factors :
14 - 4y = -2 • (2y - 7)
Solve : 2y-7 = 0
Add 7 to both sides of the equation :
2y = 7
Divide both sides of the equation by 2:
y = 7/2 = 3.500
The middle of the upper half of a set of organized data is called
The middle of the upper half of a set of organized data is called the upper quarter.
How is called the middle of the upper half?We can divide the organized data in two halfs or in 4 quartiles (the interquartile range), where each quartile contains 25% of the data.
Such that each of the two halfs would be divided into two quartiles.
The middle of the upper half (where the third quartile ends and the fourth starts) is called the upper quarter.
So, concluding, the middle of the upper half of a set of organized data is called the upper quarter.
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what is 600 divided by 7
Answer: It is exactly 85.7142857143
But if you would like it rounded: 85.7
I would go with the second answer.
\
The solution of the expression is,
⇒ 85.72
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
⇒ 600 divided by 7
Now, We can divide the numbers as;
⇒ 600 divided by 7
⇒ 600 ÷ 7
⇒ 85.72
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I really need help please, any Expert willing to help me out? I don’t understand on #2, for a,b, and c.
Step-by-step explanation:
a) Tangent equals sine divided by cosine. Therefore:
tan(-t) = sin(-t) / cos(-t)
b) Using the fact that sin(-t) = -sin(t) and cos(-t) = cos(t):
tan(-t) = -sin(t) / cos(t)
tan(-t) = -tan(t)
c) A function is symmetric about the origin if f(-x) = -f(x) (in other words, if it's an odd function). Therefore, y = tan(t) is symmetric about the origin.
write this ratio as a fraction in simplest form without any units
21 days to 5 weeks
Answer:
21/5
Step-by-step explanation:
21/5
Or
21/25
........
find a equation for the line below
Step-by-step explanation:
use the formula of the equation of line
Q: give answer in decimal to the nearest tenth of a cm
Answer:
the nearest tenth of the cm is 6.9 cm
Music lessons cost $20 per week. How much do 6 weeks of lessons cost?
Answer:
$120
Step-by-step explanation:
20*6=120
Answer:
$120
Step-by-step explanation:
If lessons cost $20 per week, multiply the cost ($20) by the amount of weeks (6);
20*6= 120
A reference book with 250 pages has 1 page without pictures.
What percent of the pages do not have pictures?
O 0.1%
O 0.4%
O 0.5%
0 1.1%
Answer:
0.4 %
Step-by-step explanation:
Given:
total number of pages = 250number of pages without pictures = 1Percent of pages that do not have pictures = (number of pages without pictures ÷ total number of pages) × 100%
= 1/250 × 100%
= 0.004 × 100%
= 0.4 %
Answer:
0.4%
explanation:
without pages: 1total page: 250solve:
[tex]\sf \dfrac{1}{250} * 100[/tex]
0.4%
One pipe can fill a tank in 5 hours. A second can fill it in 3 hours. How long would it take both pipes together to make the tank 4 of the way full?
Answer:
An hour and a half 1.5
Step-by-step explanation:
Find the 7th term in the sequence -1,-5,-25
Answer:
-125
Step-by-step explanation:
-1 × 5 = -5
-5 × 5 = -25
-25 × 5 = -125
plz help me
Using the order of operations, what is the last calculation that should be done to evaluate 4(8 − 6)52 − 6 ÷ (−3)?
4(8 − 6)52 − 6 ÷ (−3)
4(2)52 − 6 ÷ (−3)
4(2)(25) − 6 ÷ (−3)
200 − 6 ÷ (−3)
200 − (−2)
multiply 200 and -2
add 200 and -2
add 200 and 2
divide 200 and -2
Answer: 3rd one
Step-by-step explanation:
Answer:
C. Add 200 and 2
Step-by-step explanation:
Xavier drove his car 70 miles with 7 gallons of fuel. How many more miles can he drive if he added 1 gallon of fuel?
i think 10 more miles.
70/7=10
which means he gets 10 more miles for every gallon of fuel
PLEASE SHOW ALL WORK
Maria ran 100 yards in 13.8 seconds. Mike ran 1 second slower than Maria. How long did it take Mike to run 100 yards?
Group of answer choices
14.8 seconds
15.8 seconds
12.8 seconds
Answer:
14.8
Step-by-step explanation:
Well, it says that Mike ran 1 second slower. Which means that it took more time for Mike to finish. So, you add 1 second to 13.8 seconds and the answer is 14.8.
can someone answer this question now
Answer:
1. C 20, 23
2. A 40, 36
3. 00:25, 00:20
4. 0:54, 1:00
5. 0:31, 0:30
what is1/3 as a whole number
Answer:
0
Step-by-step explanation:
there is no way to convert it to a whole number so it would be 0
How much cash would you need to invest today if you knew you had to pay $1,000 each month for the next 5 years. Assume the annual interest rate is 12%. Round your answer to the nearest dollar.
Answer:
5600 $
Step-by-step explanation:
1000 multiply by 5 = 5000 multiply by 12 percent
600 add by 5000
5600
Mr, Obrien needs to buy 8 television for the school. Each television costs $795. Mr. O'Brien has 120 fifty-dollar bills that he can use to pay for the televisions.
Part A.
How much will the 8 televisions cost?
Part B.
Does Mr. Obrien have enough money to buy all televisions he needs? If not, how many can he buy?
Answer:
A. $6360, B. He doesn't have enough money.
Step-by-step explanation:
Answer:
This answer is for only part A
1tv=$795
8 x 795 = 6,360
Last week, Thomas jogged a total of 35.209 miles on his treadmill. Two weeks ago, he jogged 38.074 miles.
How many fewer miles did Thomas jog last week than the week before?
Answer:
2.865
Step-by-step explanation:
pls rate five stars, thanks :)
-2b+2(b-10)=2(10+5b)
Answer:
b= -4
Step-by-step explanation:
On both sides of the equation has distributive property. We need to solve that first. Let's start with the left side of the equation.
*Positive multiplied by a negative equals a negative
-2b+2(b-10)= 2(10+5b)
-2b+2b-20= 2(10+5b)
-20= 2(10+5b)
Now let's solve the right side of the equation
-20= 20+10b
-20 -20
-40 = 10b
-40/10 = 10b/10
b= -4
Hope this helps!
Find the measure of one interior angle of a regular 23-gon.
A. 164.3
B. 160
C. 165.6
D. 161.1
suppose the probability you will get an A in this class is .25 and the probability you will get a B is .50. What is the probability your grade will be above a C?
Answer:
75% chance
Step-by-step explanation:
Probability always adds to 1.00
Letter grades are always in the form A, B, C, D...
The grades above a C are A, which is a 25% chance and B, which has a 50% chance. Adding these up we get a 75% chance.
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The probability of getting a grade above a C is 0.75, or 75%.
We have,
To calculate the probability of getting a grade above a C, you need to add the probabilities of getting an A or a B.
Given:
Probability of getting an A (P(A)) = 0.25
Probability of getting a B (P(B)) = 0.50
A grade above a C includes grades of A and B.
Therefore, the probability of getting a grade above a C (P(above C)) is:
P(above C) = P(A) + P(B)
P(above C) = 0.25 + 0.50
P(above C) = 0.75
Thus,
The probability of getting a grade above a C is 0.75, or 75%.
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