Answer:
True
Step-by-step explanation:
Lines with the same slope and different y-intercepts are considered parallel. As they extend forever, the lines will never intersect.
8. Write the missing symbol (+,-, or =) to
make the equation true. Use precise math
language to explain how you chose the symbol.
16 = 4 + 8 ⚪️ 4
I want to know the exact height of the big column
Can someone help me please.
Step-by-step explanation:
Realistic domain: t >= 0 (as time is non-negative)
When t = 0,
v(0) = -3(0)² + 73(0) + 50 = 50.
Hence Jennifer started with $5000.
Vertex = -b/2a = -(73)/2(-3) = 73/6.
When t = 73/6
v(73/6) = -3(73/6)² + 73(73/6) + 50 = 494.08.
The maximum value is $49,408.
Develop an estimate for each of the following situations.(at) The cost of a 500-mile automobile trip, if gaso-line is $4 per gallon, vehicle wear and tear is$0.65 per mile, and our vehicle gets 25 miles pergallon.(b) The total number of hours in the average humanlife, if the average life is 75 years.(c) The number of days it takes to travel around the equator using a hot air balloon, if the balloon
Answer:
The answer is below
Step-by-step explanation:
develop an estimate for each of the following situations.
(a) The cost of a 500- mile automobile trip, if gasoline is $4.00 per gallon, vehicle wear and tear is $0.65 per mile, and our vehicle gets 25 miles per gallon.
(b) The total number of hours in the average human life, if the average life is 75 years.
(c) The number of days it takes to travel around the equator using a hot air balloon, if the balloon averages 100 miles per day, the diameter of the earth is ~4,000 miles.
Solution:
a) The total trip = 500 mile
Cost of wear and tear = $0.65 per mile = $0.65 * 500 mile = $325
25 miles takes 1 gallon of gasoline at a cost of $4 per gallon
Cost of gasoline = $4 per gallon * 500 miles / 25 miles per gallon = $80
cost of a 500-mile automobile trip = Cost of wear and tear + Cost of gasoline = $325 + $80 = $405
b) Average life of human = 75 years.
1 year = 365 days, 1 day = 24 hours
Average life of human in hours = 75 years * 365 days * 24 hours =657000 hours
c) Diameter of earth = 4000 miles
Distance of equator = diameter of earth = 4000 miles
100 mile per day
number of days for the balloon to travel round the earth = 4000 miles / (100 mile per day) = 40 days
Graph the system below and write its solution.
y = -x+2
-2x-2y=-6
Note that you can also answer "No solution" or "Infinitely
Answer:
No solution.
General Formulas and Concepts:
Algebra I
Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect is the solution set to the systems of equations.
If the 2 lines are parallel, then they will have no solution.
If the 2 lines are the same, then they will have infinite amount of solutions.
According to the graph, our lines are parallel. Therefore, we have no solution.
Help ASAP help quick
Answer:
Step-by-step explanation:
The store is selling lemons at $0.33 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make four 9-inch lemon pies, each requiring half a cup of lemon juice?
Answer:
$5.28
Step-by-step explanation:
There are 16 table spoons in a cup, and since the entire recipe calls for 2 cups, 32 table spoons would be needed. If each lemon yields about 2 tablespoons, then that means 16 lemons would be needed. To get the price, we multiply 0.33 x 16, and get 5.28.
Simplify 5(4x-2)-5(2x-10)
Answer:
Step-by-step explanation:
20x - 10 - 10x + 10
Solving like terms
10x
Determine whether each quadrilateral is a parallelogram. Justify your answer. Yes/No? Reason... opposite side congruent, opposite angles congruent, opposite sides parallel, diagonals bisect each other, one pair of parallel and congruent sides, not enough information? (look at the image)
Answer:
yes it is a parallelogram because diagonals bisect each other.
tomatoes are $2.75 per pound, or you can buy a 5 pound box for $11. what is the better value option?
Answer:
The better value is 5pounds for $11
Step-by-step explanation:
2.75×5= $13.75
so the 5 pounds for $11 would be better because the other option would cost $13.75 for the same amount
Answer:
buying the box for $11 is the better option
2.75×5=13.75
so 5 pounds separately would be $13.75
I need help on this question please!! Look at image :)
Answer:
(x, y) ––> (x – 2, y – 1)
Step-by-step explanation:
Two units left would make it (x – 2, y).
Then two units down would make it (x – 2, y – 2)
Then one unit up would make it (x – 2, y – 1)
the value pi/12 is the solution for the equation 2 cos^2 (4x) - 1 = 0 : true or false
Answer:
[tex]2 \cos ^{2} (4x) - 1 = 0 \\ \cos ^{2} (4x) = \frac{1}{2} \\ \cos(4x) = \sqrt{ \frac{1}{2} } \\ 4x = { \cos }^{ - 1} ( \sqrt{ \frac{1}{2} } ) \\ x = \frac{ { \cos}^{ - 1} ( \sqrt{ \frac{1}{2} } )}{4} \\ x \isnt \: \frac{\pi}{2} [/tex]
guys pls help me I need to know which one is composite!!!
Which is a composite number?
33
43
19
3
Answer:
33 is a composite number ;)
Find the x- and y-intercepts of the equation x – 5y = –15. Question 16 options: A) x-intercept: (0,3), y-intercept: (–15,0) B) x-intercept: (0,–15), y-intercept: (3,0) C) x-intercept: (–15,0), y-intercept: (0,3) D) x-intercept: (3,0), y-intercept: (0,–15)
Answer:
y-intercept: (3,0) C) x-intercept: (–15,0)Step-by-step explanation:
Given the expression x - 5y = -15
x intercept occurs at y = 0
Substituting y = 0 into the expression
x - 5(0) = -15
x - 0 = -15
x = -15
Hence the x-intercept occurs at (-15, 0)
y intercept occurs at x = 0
Substituting x = 0 into the expression
0 - 5y = -15
-5y = -15
y = -15/-5
y = 3
Hence the y-intercept is at (0, 3)
Help Me fast please
2[3(4²+1)]-2³
Answer:
94
Step-by-step explanation:
Answer:
94
Step-by-step explanation:
The equation c=0.09sc=0.09s gives the amount cc (in dollars) of commission a salesperson receives for making a sale of ss dollars.
What’s the independent and Dependent variable
Answer:
independent variable is s and the dependent variable is c
Step-by-step explanation:
Answer:
is not the top it is this
Step-by-step explanation:
The equation c=0.09s represents the amount c (in dollars) of commission a salesperson receives for making a sale of s dollars.
The independent variable is s
.
The dependent variable is c
.
Write this in expanded form and find the sum.
9514 1404 393
Answer:
(c) 5 +15/4 +45/16 +135/64 +...; 20
Step-by-step explanation:
The first term of this geometric series is 5. The common ratio (r) is 3/4. The sum of the infinite series is ...
5(1/(1 -r)) = 5/(1 -3/4) = 5/(1/4) = 20 . . . series sum
Of course, the terms are ...
5 + 5(3/4) +5(3/4)² + 5(3/4)³ + ...
= 5 + 15/4 + 45/16 +135/64 + ... . . . series
Together, these observations match choice C.
Two side length of a triangle are given as 9 cm and 5 cm. What could be the length of its third side?
Answer: Two sides are given 5 cm and 9 cm. .Therefore, the third side can not be greater than or equal to (9+5)=14 cm and it can not be less than or equal to (9–5)=4 cm
Step-by-step explanation:
Please Give me brainliest
Answer:
Step-by-step explanation:
the length to the third side can be
a) a^2+b^2=c^2
a=9, b=5
c^2=81+25=106
c=sqrt106=10.29
or
a=5, c=9
b^2=c^2-a^2
b^2=81-25=56
b=sqrt56=7.48
Please help this is timed!!!!
Answer:
C and D
89 _> 12.50t -14
+14 +14
103 _> 12.5t
/12.5 /12.5
8.24 _> t
Write the equation in standard form
using factoring.
f(x) = (2x
+
1)(x – 4)
Answer:
2x^2-7x-4
Step-by-step explanation:
=2x^2-8x+x-4
=2x^2-7x-4
prove the given identity
Step-by-step explanation:
tan(2x) = sin(2x)/cos(2x) = 2sinxcosx/(cos^2x - sin^2x).
Dividing the num- and denominator by sinxcosx, we get
2/(cosx/sinx - sinx/cosx) = 2/(cotx - tanx)
cotA + cotB = cosA/sinA + cosB/sinB
We just add them like fractions, with a common denominator of sinAsinB
(cosAsinB + sinAcosB)/sinAsinB
Note that sinAcosB + sinBcosA = sin(A+B)
Therefore we have
sin(A+B)/sinAsinB
Need help with this question it’s my first time on here !
Answer:
We conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.
Hence, option C is correct.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
where 'k' is termed as the 'constant of variation'.
Given that a wedding reception seats 8 people at each table.
Given that the relationship between the number of people 'p' and the number of tables 't'.
p = 8t
CHECKING OPTION A
substitute t = 22 in the given equation
p = 8 × 22 = 176 people
It means to host 176 people, 22 tables will be needed.
Hence, OPTION A is INCORRECT!
CHECKING OPTION B
substitute t = 8 in the given equation
p = 8 × 8 = 64 people
It means to host 64 people, 8 tables will be needed.
Hence, OPTION B is INCORRECT!
CHECKING OPTION C
substitute t = 13 in the given equation
p = 8 × 13 = 104 people
It means to host 104 people, 13 tables will be needed.
Hence, OPTION C is CORRECT!
CHECKING OPTION D
substitute t = 6 in the given equation
p = 8 × 6 = 48 people
It means to host 48 people, 6 tables will be needed.
Hence, OPTION C is INCORRECT!
Thus, we conclude that the statement 'To host a wedding with 104 people, 13 tables will be needed'.
Hence, option C is correct.
What is the midpoint for CD given the coordinates C (-4,8) and D (8,-4).
A. (0,0)
B. (2,2)
C. (4,4)
D. (6,6)
Evaluate -7 1/3 - (-2/5)=
Answer:
-6 14/15
Step-by-step explanation:
6/7x - 2/5y + 5/7(y+x)
Answer:
[tex] \frac{6}{7} x - \frac{2}{5} y + \frac{5}{7} (y + x) \\ = ( \frac{6}{7} + \frac{5}{7} )x + ( \frac{5}{7} - \frac{2}{5} )y \\ = \frac{11}{7} x + \frac{15}{35} y \\ = \frac{11}{7} x + \frac{3}{7} y \\ = \frac{1}{7} (11x + 3y)[/tex]
If rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D, what is the perimeter of A'B'C'D?
A)
30 units
B)
60 units
C)
90 units
D)
120 units
Answer:
90
Step-by-step explanation:
A TV has an original price of $399. Enter the new price after the given percent of change.
20% decrease
The new price is $ ?.
Answer:
Step-by-step explanation:
399 x .20 = 79.8
399 - 79.8 = 319.2
The new price of the TV after a 20% decrease is $319.20
Pls help grades close today I’ll brainlest for the right answer
Answer:
decrease 40%
Step-by-step explanation:
20/50 * 100 = 40
At the gym, Jasper was able to bench press 224 pounds, which was StartFraction 7 over 8 EndFraction of the weight that Balin was able to bench press. Which shows the correct equation and value of x, the weight that Balin could bench press
Answer:
Balin could bench press 256 pounds.
Step-by-step explanation:
Jasper was able to bench press 224 pounds, which is 7/8 of x, which is the weight that Balin was able to bench press. So, mathematically:
[tex]\frac{7}{8}x = 224[/tex]
[tex]7x = 224*8[/tex]
[tex]x = \frac{224*8}{7} = 256[/tex]
Balin could bench press 256 pounds.
Answer:
d
Step-by-step explanation:
how do you write 4.41*
[tex] {10}^{1} [/tex]