which of the following has the steepest slope?
Answer:
B
Step-by-step explanation:
The first 3 figures in a pattern are shown.
Figure 1
Figure 2 Figure 3
= 1 small square
Which of the following functions represents f(n), the number of small squares in figure n?
A. f(n) = 2n2 + 1
OB. f(n) = (n + 1)2 - 1
OC. f(n) = (n + 1)2 + 1
o D. f(n) = n2 - 1
Answer:
a
Step-by-step explanation:
I dunno how to explain but A is the answer
The solution is, : A. f(n) = (n + 1)^2 – 1, the function represents f(n), the number of small squares in figure n.
Here, we have,
from the given diagram, we get,
the number of small squares in figures are,
Figure 1 is 3,
which be represented as,
3 = 4 - 1
= 2² - 1
= (1 + 1)² - 1
Figure 2 is 8
which be represented as,
8 = 9 - 1
= 3² - 1
= (2 + 1)² - 1
Figure 3 is 15
which be represented as,
15 = 16 - 1
= 4² - 1
= (3 + 1)² - 1
so, we get,
the number of small squares in figure n will be,
The function is:
f(n) = (n + 1)² - 1
To learn more on function click:
brainly.com/question/21145944
#SPJ2
A total of 450 tickets were sold for the school play. They were either adult tickets or students tickets. There were 50 fewer students tickets sold than adult tickets. How many adult tickets were sold?
9514 1404 393
Answer:
250
Step-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then a-50 is the number of student tickets sold. The total number is ...
a + (a -50) = 450
2a = 500 . . . .simplify, add 50
a = 250 . . . . . divide by 2
250 adult tickets were sold.
CAN SOMEONE PLEASE HELP ME WITH #12 and #13 and if they are correct I will give you brainliest
Answer:
12. parallel, 13. perpendicular
Step-by-step explanation:
Find the slope of both lines
AB:(6-3)/(2--2)=3/4
CD:(3-0)/(3--1)=3/4, the slope is the same so the lines are paralell
2. DO the same thing
AB:(4-2)/(5-0)=2/5
CD:(3-8)/(3-1)=-5/2, the slopes are opposite inverses so they are perpendicular
Answer:
1. parallel
2. perpendicular
find the perimeter of a rectangle if one of its sides is 14 and the area is 98
Answer:
42
Step-by-step explanation:
Area of a rectange = bh so 98=14x
98 divided by 14 = 7
Perimeter= 2x+2y
so 2x+2y -> 28+14=42
25 points help me pls
Answer:
The first one is x=-y-2z-7
The second one is x=-1/3y + 1/3z + -4/3
The third one is x= 3y + 2z + 17
Solve for x. 3(2x-1)+7=46. What’s x?
Answer:
The correct answer is,
[tex]x = 7[/tex]
Answer:
x= 7
Step-by-step explanation:
3(2x‐1) + 7 = 46
6x‐3+7= 46
6x+4= 46
6x = 42
x=42/6
x=7
Match each of 1 -6 with its appropriate definition from the list A - F below.
1. Axiom
2. Corollary
3. Contradiction
4. Tautology
5. Theorem
6. Lemma
a. An elementary mathematical truth that is assumed self-evident and not in need of proof.
b. A theorem that is an immediate consequence (and perhaps special case) of another theorem.
c. A proposition that is always false.
d. A proposition that is always true.
e. An important true mathematical statements.
f. A theorem that is needed as a stepping stone to prove a greater theorem.
Answer:
1. Axiom
Appropriate definition: An elementary mathematical truth that is assumed self-evident and not in need of proof (a).
2. Corollary
Appropriate definition: A theorem that is an immediate consequence (and perhaps special case) of another theorem (b).
3. Contradiction
Appropriate definition: A proposition that is always false (c).
4. Tautology
Appropriate definition: A proposition that is always true (d).
5. Theorem
Appropriate definition: An important true mathematical statements (e).
6. Lemma
Appropriate definition: A theorem that is needed as a stepping stone to prove a greater theorem (f).
Choose correct y intercept of the exponential function f(x)=8(0.25)^x
Answer:
( 0 , 8)
Step-by-step explanation:
The y-intercept is when the graph intersects the y axis, in other words, when x is zero. Hence substitute 0 in for x
f ( x ) = 8 [tex]( 0.25 )^{x}[/tex]
f ( 0 ) = 8 [tex](0.25)^{0}[/tex]
Any number to the power zero is one;
f ( 0 ) = 8 * 1
f(0) = 8
The y-intercept is 8.
hugo sells handmade key chains online. Yesterday he made 6 keychains in 30minutes. hugo wants to make 9 keychains today . if hugo works at the same rate today how long will it take him to make the keychains
Answer:
45 minutes, hope this helps
Step-by-step explanation:
Answer:
45 minutes.
Step-by-step explanation:
Set up a ratio.
6 keychains: 30 minutes
divide both sides of the ratio by 6
1 keychain: 5 minutes
multiply both sides of the ratio by 9
9 keychains: 45 minutes
It will take him 45 minutes.
Myrna is buying a new rug for her living room. It it spilt into 3 panels, as shown in the diagram. What is the area of the rug, in the square feet?
Answer:
The answer is 96 square feet because if you look at the first rectangle (the one on the top left), you should multiply 5 times 6 which equals 30. (The reason you would do this is because you want to find the area of all of the rectangles first and then add them together in order to get the total area of the rug.) Then, you would look at the second rectangle (the one on the right), and you would multiply 8 times 6 which is 48. Next, you would look at the last rectangle (the one on the lower left) and multiply 6 times 3 which is 18. Finally, you have to add 30+48+18 and then you would get your final answer which is 96 square feet.
How do add or subtract negative fractions
-2/5 +4/-10 =
Answer:
[tex] - \frac{4}{5} [/tex]
Step-by-step explanation:
1. Move the negative sing to the left.
[tex] - \frac{2}{5} - \frac{4}{10} [/tex]
2. simplify 4/10 to 2/5.
[tex] - \frac{2}{5} - \frac{2}{5} [/tex]
3. Simplify.
[tex] - \frac{4}{5} [/tex]
Therefor, the answer is, -4/5
-2/5+4/-10
=-2*-2+4*1
-10
=4+4
-10
=8
-10
=-4
5
therefore -4 is the answer.
5
hey, please do this for!!
Answer:
9, 5, -1, -5
Step-by-step explanation:
plug x values in for x to get y
A mortgage is in the amount of $400,000. The origination fee is 0.2%, the intangible tax is 0.4%, and there are 1.9 discount points. Which of the
following is the total cost of the origination fee, intangible tax, and discount points?
$9,200
$10,000
$7,600
$2,400
Someone please help me :(
Answer:
Total cost of All fee = $10,000
Step-by-step explanation:
Given:
Mortgage amount = $400,000
Origination fee = 0.2%
Intangible tax = 0.4%
Discount point = 1.9
Find:
Total cost of All fee
Computation:
Total cost of All fee = (Mortgage amount)(Origination fee) + (Mortgage amount )(Intangible tax) + (Mortgage amount )(Discount point)
Total cost of All fee = ($400,000)(0.2%) + ($400,000)(0.4%) + ($400,000)(1.9/100)
Total cost of All fee = $800 + $1,600 + $7,600
Total cost of All fee = $10,000
Solve the following systems of linear equations using the substitution method
5x + 7y = -9
4x - 2y = 8
what is 21 1/2‐6 1/2
Answer
15
Step-by-step explanation:
Please mark brainliest.
Today Christina is carrying her history textbook and her lunch in her backpack. If the history textbook weighs 1/10 of a pound and her lunch weighs 4 1/10 pounds, how much weight is in Christina's backpack?
Answer:
5/10 pounds just add 1 + 4 ( i think )
Answer:
42/10 or 4 2/10 is the answer
Step-by-step explanation:
Hope this Helps! :)
give the sin cos and tan to find X i will give brainliest
Answer:
x = 6.73
Step-by-step explanation:
tan17 = x / 22
x = 22 * tan17
x = 6.73
sin17 = 0.2924
cos17 = 0.9563
tan17 = 0.3057
Which set of ordered pairs does not represent a function?
O{(-6,-9), (-2, -3), (-9, 2), (2, -3)}
O {(-2,0), (-5,8), (7,9), (6,8)}
O {(6,9), (-7,8), (1, -4), (8,8)}
{(-2,-6), (-1,2), (-2, -7), (6,6)}
Answe thanks
Step-by-step explanation:
please solve for me it's urgent. A rectangle has 10 and 6cm each. find the area of a square with the same perimeter as that of the rectangle
Answer:
64 cm²
Step-by-step explanation:
Firstly,let us lay down the clues;
So, we have been given the Length and Width of the rectangle.
Rectangle;
Length= 10 cm
Width=6 cm
We know that
Perimeter= 2L + 2W
Perimeter= 10+10+6+6
Perimeter =32 cm
In the questionnaire, it is mentioned that a square has the same perimeter as the rectangle. That means, the perimeter of the square is similar to the one of the rectangle which is 32 cm.
So,
Perimeter of square =32 cm
Length of one side of the square =32÷4
=8 cm
Area= L × W
Area= 8 cm× 8 cm
Area= 64 cm²
Hope it helps.
Can the following question be represented by 1/2x5
Diego lives 5 miles from school and Elena lives 1/2 as far as Diego how many miles does Elena live to go?
Please explain your answer
Answer:
yes it can be represented by 1by2×5
Answer:
yes
Step-by-step explanation:
because it can
Please Solve This Quickly, I Really Need Help
Answer:
The answer is 0.3^2 x 10 = the last number to get 0.9
then 0.9^2 = 0.81 x -10 = 8.1 the actual jump = + 1
We go back 1 places before to do missing sum
so that 0.3 x 1 = 0.3 x -9 = -2.7
Therefore the +1 numbers are decreasing from 10 to -10 then increasing in negative value from -10 to -9 etc.
hi can you help me with this question
Answer:
x > -3
Step-by-step explanation:
1) Solve the inequality.
4x-2+x < 6x+1
5x-2 <6x+1
-5x -5x
-2 < x+1
-1 -1
-3 < x
x > -3
Then, graph it.
Which sum or difference is modeled by the algebra tiles?
A.
(-x2 − 2x + 4) − (x2 + 2x + 1) = -2x2 − 4x + 3
B.
(-x2 − 2x + 4) + (-x2 − 2x + 1) = -2x2 − 4x + 3
C.
(-x2 − 2x + 4) − (x2 − 2x − 1) = -2x2 − 4x + 3
D.
(-x2 − 2x + 4) + (-x2 + 2x + 1) = -2x2 − 4x + 3
what is x? if u can’t see it the 2 other degrees are 32 and 120
Answer:
x = 58
Step-by-step explanation:
trust me i got the same question today on khan and apparently i accidently pressed next
so...
the person that answered first had the right set up but miscalculated
anyway...
you have to subtract on both sides because 32 was positive and two different signs would be 0:
x+32 = 90 degrees
-32 -32
then 32 and -32 gets crossed out and then you do
90-32 = 58
you subtract because different signs...
therefore:
x=58
here's another way to solve it:
We simplify the equation to the form, which is simple to understand
x+32=90
We move all terms containing x to the left and all other terms to the right.
+1x=+90-32
We simplify left and right side of the equation.
+1x=+58
We divide both sides of the equation by 1 to get x.
x=58
Hope this helps
brainiest would be appreciated :)
The distance between two towns is 21.673 km. Round of the distance to nearest 0.01 km.
Answer:
21.67
Step-by-step explanation:
look at the number in the 0.01 value then the number next to it
if it's five or above then the 7 goes up if it's 4 and below then the number stays the same. in this case the number will stay the same
write an equation in slope intercept form for the line with slope 2 and y intercept -4
Answer:
y= 2x-4
Step-by-step explanation:
Find the value of x for the given value of y. y=5x−7; y=−22
Step-by-step explanation:
we will put -22 in the value of y
-22=5x-7
x will go the left hand side and will shift -22 and 5x
-5x= -7+22
-5x=+15
x=+15/-5
we will simplify it by 5 because both the numbers come in 5 time table
x=+3/-1
x=-3
so the value of x is -3
If three burgers and two fries cost 17.50, and two burgers and three fries cost 15.00, how much does a burger cost?
Answer:
4.50
Step-by-step explanation:
If you use x for burgers and y for fries:
1) 3x+2y=17.50
2) 2x+3y=15
You can then do a simultaneous equation by multiplying the first equation by 1.5 to cancel out the y (fries) to get x (burgers) on its own
1) 4.5x+3y=26.25
2) 2x+3y=15
By subtracting the two equations you get 2.5x=11.25
Then divide 11.25 by 2.5, you get x =4.5 so a burger is 4.50
A burger cost 4.50.
Let the cost of a burger be x.
Let the cost of a fries be y.
Since three burgers and two fries cost 17.50, this will be:
3x + 2y = 17.50 ......... i
Since two burgers and three fries cost 15.00, this will be:
2x + 3y = 15.00 .......... ii
Therefore, both equations will be:
3x + 2y = 17.50 ...... i
2x + 3y = 15.00 ....... ii
Multiply equation i by 2
Multiply equation ii by 3
6x + 4y = 35.00 ....... iii
6x + 9y = 45.00 ....... iv
Subtract equation iii from iv
5y = 10.00
y = 10.00/5
y = 2.00
Therefore, the cost of a frie is 2.00
Since the value of a frie has been gotten, it can be put into any of the equation. Using the equation:
3x + 2y = 17.50
3x + 2(2.00) = 17.50
3x + 4.00 = 17.50
3x = 17.50 - 4.00
3x = 13.50
x = 13.50/3
x = 4.50
Therefore, a burger cost 4.50.
HURRY! I NEED THIS ANSWER FAST!!!!
What is the surface area of a cylinder with the given dimensions? Express your answer to nearest hundredth. Use 3.14 for pi. Radius = 8 cm.; Height = 12 cm.
Please select the best answer from the choices provided
A. 980.45 sq. cm
B. 1280.34 sq. cm
C. 876.34 sq. cm
D. 1004.80 sq. cm