Answer:
27.59 without tax
Step-by-step explanation:
27.95 with tax
Bricks are stacked according to the pattern shown below.
Each row contains one more brick than the row above it.
Part A
Determine a quadratic function to model the total number of bricks in the stack,
f(x), given a number of rows, m.
Answer:
Part A
The Quadratic Function to model the total number of bricks the stack is f(x) = x²
Part B
The number of bricks we will have for 50 rows is 2500 bricks
Step-by-step explanation:
Part A
Let the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = a·x² + b·x + c
We have;
When x = 0, f(x) = 0, therefore, f(0) = a×0² + b×0 + c = 0 + 0 + c = 0
∴ c = 0
When x = 1, f(x) = 1, therefore, f(1) = a×1² + b×1 + 0 = 1
∴ a + b = 1...(1)
When x = 2, f(x) = 4, therefore, f(2) = a×2² + b×2 = 4
∴ 4·a + 2·b = 4...(2)
Multiply equation (1) by 2, and subtract it from equation (2) gives;
4·a + 2·b - 2×(a + b) = 4 - 2 × 1
2·a = 2
a = 1
From equation (1), we have;
b = 1 - a = 1 - 1 = 0
b = 0
∴ f(x) = a·x² + b·x + c = 1·x² + 0·x + 0 = x²
Therefore, the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = x²
Part B
If there are 50 rows in the stack, then we have, x = 50
Therefore;
f(50) = 50² = 2500
The number of bricks we will have for 50 rows is f(50) = 2500 bricks
(just found it on brainly)
An iPhone costs £699 in London, €799 in Paris and $1,099 in New York. Using £1 = €1.13 and £1 = $1.37, state the lowest price of the iPhone in £. Give your answer to 2 dp.
Answer:
£699 in London
£902.87 in Paris
£1505.63 in New York
The lowest price of the iPhone is £699 in London.
Rút gọn biểu thức sau
(2/2-√5 - 2/2+√5):√20
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's solve for value of (2/2-√5 - 2/2+√5) :
[tex] \dfrac{2}{2 - \sqrt{5} } - \dfrac{2}{2 + \sqrt{5} } [/tex][tex] \dfrac{2(2 + \sqrt{5} ) - 2(2 - \sqrt{5} )}{ {2}^{2} - 5} [/tex][tex] \dfrac{4 + 2 \sqrt{5} - 4 + 2 \sqrt{5} }{4 - 5}[/tex][tex] \dfrac{4 \sqrt{5} }{ - 1} [/tex][tex] - 4 \sqrt{5} [/tex]now, let's simply the ratio :
[tex] - 4 \sqrt{5} : \sqrt{20} [/tex][tex] \dfrac{ - 4 \sqrt{5} }{ \sqrt{20} } [/tex][tex] \dfrac{ - 4}{ \sqrt{4} } [/tex][tex] - \sqrt{4} [/tex]Therfore , the required ratio is :
[tex] - \sqrt{4} :1[/tex]HELLPPPP WILL GIVE BRAINLIEST
Answer:
[tex]\frac{-1+-\sqrt{41} }{4}[/tex] (Third Option)
Step-by-step explanation:
Step 1: Use quadratic formula with a = 2, b = 1, c = -5.
[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex] [tex]x = \frac{-(1)+-\sqrt{(1)^2-4(2)(-5)} }{2(2)}[/tex] [tex]x = \frac{-1+-\sqrt{1-8(5)}}{4}[/tex] [tex]x = \frac{-1+-\sqrt{1-40} }{4}[/tex] [tex]x = \frac{-1+-\sqrt{41} }{4}[/tex]Therefore, the answer is the third option, [tex]\frac{-1+-\sqrt{41} }{4}[/tex].
You will pay tax on a purchase of $27.89. The tax
rate is 6.5%. How much will your total be?
A website sells a dress at £50 and shoes at £35.
The website has an offer:
Buy a dress and shoes together and get
1
5
off the price.
There is also a shipping and handling charge of £6 added at the end, after any discount.
If Ruth buys both a dress and shoes, how much will she actually pay?
Answer:
$74
Step-by-step explanation:
1/5 of 85 is 17
85-17=68
68+6=74
Akiba Ellis deposits the following in her checking account: 6 five-dollar bills, 5 two dollar bills, 12 one dollar bills, 9 half dollars, 6 quarters, 42 dimes, 10 nickels, 15 pennies, and a check for $97.23. what is her total deposit?
Answer:
$106.08
Step-by-step explanation:
Given:
6x $5.00
5x $2.00
12x $1.00
9x= 0.50
6x25 cent
42x10 cent
10x5 cent
15=15cent
$97.23
----------------------------------------------------------------------------------
6 five dollar bill is $30.00
so 5 two dollar bill is $10.00
12 one dollar bills is $12.00
9 half dollar bill mean 0.50 cent since it Half and that would make $4.50
6 quarter so 6x25 which equal $1.50
42 dimes and dimes =10 cent so 42x10 which equal $4.20
10 nickels and nickels = 5 cent so 10x5=0.50
15=15 pennies
-------------------------------------------------------------------------------------
30.00+10.00+12.00+4.50+1.50+4.20+0.50+0.15+97.23 =
$106.08 Total Deposit
PLS HELP WILL MARK BRAINLIEST!
Answer:
25 - n
Step-by-step explanation:
n is a variable. It can represent any number. For example, 5 years ago, Mario would be 20 years old since 25-5 is 20.
So, if n is 8, you have to do 25 - 8 to find the answer to how old Mario was 8 years ago.
So his age n years ago, is 25 - n.
Hope this helps!
Aidan practiced his foot skills during soccer practice. He began at the center
line, dribbled the ball 6 yards forward and 9 yards back, then 3 yards forward.
How far from the starting line was Aidan when he ended the drill?
Answer:
Aidan traveled 0 yards from the starting line
Step-by-step explanation:
Set up problem: 6-9+3
Solve
Hope this help! Have a great day!!
Assuming the scale drawing of the swimming pool is 10 cm long and 5 cm wide, how long and how wide is the actual swimming pool?
Answer:
50 ft by 15
Step-by-step explanation:
Write an equation in Point-Slope Form that passes through the points (2,-3) & (4,7)
Answer:
[tex]y=5x-13[/tex]
Step-by-step explanation:
Using the graph starting at -13 and going up 5 and over right 1 continuously, it tends to pass 2,-3 and 4,7.
HELP PLS I’LL GIVE BRAINLIEST AND A THANKS!
A chef preheats an oven. It starts at room temperature, 68°F, and heats up 23°F per minute.
Write an equation that shows how the oven temperature in °F, y, depends on the number of
minutes it has been preheating, X.
y =
I
Submit
The equation showing the variation of the temperature would be y=(23x) + 68.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that A chef preheats an oven. It starts at room temperature, 68°F, and heats up to 23°F per minute.
The equation will be written as:-
y = 23x + 68
Here x is the time of preheating.
Therefore, the equation showing the variation of the temperature would be y=(23x) + 68.
To know more about an expression follow
https://brainly.com/question/13790694
#SPJ5
Which set of fractions is ordered from least to greatest?
Answer:
answer is A
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
The bigger the denominator is the samller the fraction is.
Ex:[tex]\frac{1}{32}[/tex] is way smaller than [tex]\frac{1}{3}[/tex]
what's 58 divided by 78 will mark brainliest
The Answer will be: 1.3
Step-by-step explanation:
when 58 is divided by 78 the answer comes out to be 0.7435
58/78 = 0.7435.
hope this helps you, my dear.
I need help! And fast !!!!
Answer:
the answer is 12
Step-by-step explanation
i figured out that 12 times 20 is 240 so i multiplied all of the numbers by 12 and that's how i got my answer
(iv). Solve: 2x⁴ - 5x³ + 7x - 3 when x = 2.
Please help me..
Step-by-step explanation:
[tex]\longrightarrow\sf{ p(x) = 2{x}^{4} - 5{x}^{3} + 7x - 3}[/tex]
Now, substituting the value of x in equation, we get.[tex]\longrightarrow\sf{ p(2) = 2({2})^{4} - 5{2}^{3} + 7\times 2 - 3}[/tex]
[tex]\longrightarrow\sf{ 2\times 16 - 5\times 8 + 14 - 3}[/tex]
[tex]\longrightarrow\sf{ 32 - 40 + 14 - 3}[/tex]
[tex]\longrightarrow\sf{ - 8 + 14 - 3}[/tex]
[tex]\longrightarrow\sf{ + 6 - 3}[/tex]
[tex]\longrightarrow\sf{ 3 }[/tex]
Answer:
Step-by-step explanation:
f(x) = 2x⁴ - 5x³ + 7x - 3
f(2) = 2(2^4) - 5(2^3) + 7(2) - 3
f(2) = 32 - 40 + 14 - 3
f(2) = 3
The graph below shows what happens when x = 2 and y = 2x⁴ - 5x³ + 7x - 3
Notice that the graph shows the same intersect point (2,3) as what we got when putting x = 2 into the equation.
The temperature in Doha, Qatar on 1 June is 40°C. Over
the next two days this temperature increases by 10%
followed by a decrease of 10%. Find the temperature in
Doha on 3 June.
Answer:
39.6°C
Step-by-step explanation:
10% of 40°C is 40 × 10/100
=4
temp on 2 June = 40+4 = 44°C
now 10% of 44°C is 44 × 10/100
=4.4
temp on 3 June = 44 - 4.4 = 39.6°C
What is 2(3x+7)=-49+39
Answer:
x = -4
Step-by-step explanation:
2(3x + 7) = -49 + 39
6x + 14 = -10
6x = -10 - 14
6x = -24
x = -4
What is an equation of the line that passes through the points (0, -1)(0,−1) and (6, 1)(6,1)?
[tex]slope = y2 - y1 \div x2 - x1[/tex]
[tex]1 - - 1 \div 6 - 0[/tex]
[tex]2 \div 6[/tex]
[tex]1 \div 3[/tex]
[tex]y = mx + c[/tex]
[tex]1 = 1 \div 3 \times 6 + c[/tex]
[tex]1 = 2 + c[/tex]
[tex]c = 3[/tex]
[tex]y = 1 \div 3x + 3[/tex]
what is 5 divided by 8,350 (long division)
Answer:
0.625
the pictures I attached are the work. the pictures are in order from 1 to 5 in red.
What's a distributive property equation the =3
Answer:
4/16 ( 1 + 11) = 3
could be many answers as fractions see below
The last fraction seems more likely out the three or make it harder fraction.
Step-by-step explanation:
1/2 (2 + 4) = 3 as 1/2 of 4 is 2 1+2 = 3
or
1/4 (4 + 8) = 3 as 1/4 of 8 is 2 1+2 = 3
or
3/4 ( 2 + 2) = 3 as 3/4 of 2 is 1 1/2 1.5 + 1.5 = 3
or harder fraction
4/16 ( 1 + 11) = 3
0.5 : 3 (ratio) in its simplest form
Answer:
1:6
Step-by-step explanation:
5 divided by 5 and 30 divided by 6
5:30
1:6
please i need help with this
Answer:
=6^7-5
=6²
plz mark me as brainliest
Answer:
36
67
65
=
67
65
=
6*6*6*6*6*6*6
6*6*6*6*6
=6*6
=62
=36
Evaluate.
(w2x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7
Enter your answer as a simplified mixed number in the box.
Step-by-step explanation:
W=-6, x=1.2, and z=-6/7
(W²x-3)÷10-z
we substitute
((-6²)(1.2)-3)÷10-(-6/7)
((-36)(1.2)-3) ÷10-(-6/7)
(-43.2-3) ÷10(6/7)
(-46.2)÷60/7
-46.2÷60/7
-46.2*7/60
-46.2/1*7/60
-323.4/60
-5.39
Required value of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 is (-4.69)
What is the value of of (w²x−3)÷10⋅z when w=−6, x = 1.2, and z=−6/7 ?
We know,
By BODMAS rule,
B - Bracket
O - Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
We should maintain the following sequence,
Bracket - Of - Division - Multiplication - Addition - Subtraction
We are applying BODMAS rule.
Here,[tex]( {w}^{2} x - 3) \div 10 . z[/tex] and w=−6, x = 1.2, and z=−6/7
We are putting value of w,x,z in given expression and get
[tex]( {( - 6)}^{2} \times 1.2 - 3) \div 10 ( - \frac{6}{7} ) \\ = -(36 \times 1.2 - 3) \div \frac{60}{7} \\ = -(43.2 - 3) \div \frac{60}{7} \\ = -40.2 \div \frac{60}{7} \\= -40.2 \times \frac{7}{60} = -4.69[/tex]
Therefore, Required value of the given term is (-4.69)
One more question of BODMAS rule,
https://brainly.com/question/16738857
#SPJ2
45c-60=75 what is the value of c
Answer:
[tex]45c - 60 = 75 \\ 45c = 75 + 60 \\ 45c = 135 \\ \\ c = \frac{135}{45} \\ \\ c = 3[/tex]
I hope I helped you^_^
find the equation of a line that is parallel to y= 4-x and cuts the Y axis at (0,1)
Answer:
y=-x+1
Step-by-step explanation:
y=-x+4
Substitute (0,1)
1=0+1
-1 is the gradient, if parallel then the gradient stays the same
Answer:
y = - x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept
y = 4 - x , that is y = - x + 4 ← in slope- intercept form
with slope m = - 1
The slope crosses the y- axis at (0, 1 ) ⇒ c = 1
y = - x + 1 ← equation of parallel line
You can solve the equation 2x – 3 = 1 by graphing y = 2x – 3 and y = 1 and finding their point of intersection. Use the drop-down menus to complete the statements below.
Answer:
2 and it is the solution to both
Step-by-step explanation:
i just did it lol
The point of intersection of y = 2x – 3 and y = 1 is (2,1).
Here, we have,
given that,
the equations are:
y = 2x – 3 ....1
and y = 1 .....2
now, we have to solve them.
so, putting the value of y from 2, in 1,
we get,
2x – 3 = 1
or, 2x = 4
or, x = 2
so, we have,
their point of intersection is (2,1).
To learn more on equation click:
brainly.com/question/24169758
#SPJ6
Nathaniel is building a rectangular shed. The length of the shed is 5 feet less than 3 times the width. The perimeter of the shed is 158 feet. What is the width of the shed?
Answer:
w = 21 feet
Step-by-step explanation:
The width of the given rectangular shed is such that the length of the shed is 5 feet less than 3 times the width formed the perimeter of 158 feet is 21 feet.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Let's say the length of a rectangle is L while the width is W.
According to the given, L = 3W - 5
The perimeter of the rectangle is given as 2( length + width)..
Perimeter = 2(L + W)
2(3W - 5 + W) = 158
4W - 5 = 79
W = 21 feet.
Hence "The width of the given rectangular shed is such that the length of the shed is 5 feet less than 3 times the width formed the perimeter of 158 feet is 21 feet".
For more about rectangles,
https://brainly.com/question/15019502
#SPJ5
Please help me with this
It is due today, so please help me ASAP
evaluate 5/8 - (1/4)2
Answer The answer will be 0.125
Step-by-step explanation: