Answer:
The discount is $0.8d.
Step-by-step explanation:
Given that,
The original cost of Tamara's purchase is d dollars.
Tamara uses a coupon to save 20% off her purchase at the bookstore.
Discount = 20%
Discount is applied to the original cost.
Discount = d-(20/100)d
Discount = 0.8 d
Hence, the discount is $0.8d.
The graph of a function is a parabola that has a minimum at the point (-3,9). Which equation could represent the function?
Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.
A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.
The general form with vertex (p,q) is
y = a(x-p)² + q
So for us, all our parabolas are of the form
y = a(x- -3)² + 9
y = a(x² + 6x + 9) + 9
y = ax² + 6ax + 9(a+1)
That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.
Some instances:
a=1 gives
Answer: y = x²+6x+18
a=4 gives
y = 4x² + 24x + 45
Other positive as give other possible answers; without the choices it's impossible to know which one they're seeking.
Amy deposits $8000 into an account that pays simple interest at a rate of 2% per year how much interest will she be paid in the first 4 years?
A dog's leash is 4 m long and is attached to the corner of a 2 m × 2 m square doghouse at C, as shown. The dog is attached to the other end of the leash, at D. What is the area outside of the doghouse in which the dog can play? (A) 14π m^2 (B) 16π m^2 (C) 20π m^2 (D) 15π m^2 (E) 24π m^2
The area outside of the doghouse in which the dog can play is 16π m².
Thus, option (B) is correct.
Given:
The leash is 4 m long.
The doghouse is a 2 m × 2 m square.
First, the area of a square is given by side length squared
So, the area of the doghouse is:
Area of the doghouse = side length² = 2²
= 4 m².
Next, the area of the circle with a radius of 4 m.
The area of a circle is given by the formula A = πr²,
So, Area of the circle = π(4²) = 16π m².
Therefore, the area is 16π m².
Thus, option (B) is correct.
Learn more about Area here:
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What is the value of the expression 5x2-8x+4 when x = -3
Answer:
5 x 2 - 8x + 4
5 x 2 - 24 + 4
10 - 24 + 4
-10
Answer: -10
PLEASE HELP I'LL GIVE BRAINLIEST
Answer:
841.8
Step-by-step explanation:
Find the Ares of a semi circle whose radius is 2.4 cm
Answer:
Step-by-step explanation:
area of semi circle=πr^2/2
=3.14*(2.4)^2/2
=3.14*5.76/2
=18.0864/2
=9.0432 cm^2
Answer:
72/25 [tex]\pi[/tex] cm² or 9.047786842... cm²
Step-by-step explanation:
Area of whole circle is [tex]\pi r^{2}[/tex]
[tex]\pi[/tex]×2.4² = 144/25[tex]\pi[/tex] cm² or 18.09557368... cm²
Since it is a semi-circle, divide this value by 2 (or multiply by 0.5, either way, your halving it):
144/25[tex]\pi[/tex] ÷ 2 = 72/25 [tex]\pi[/tex] cm² or 9.047786842... cm²
Question and choices are in the photo please explain the answer
Answer:
336
Step-by-step explanation:
The exclamation mark in math represents the factorial operation, which means you multiply the number by decreasing positive integers.
Therefore:
5! = 5 x 4 x 3 x 2 x 1 = 120.
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320
8!/5! = 40320/120
40320/120 = 336
What is the value of y in the equation y = 3x - 2, when x = 2
Answer:
y=4
Step-by-step explanation:
3 x 2=6
6 - 2= 4
Answer:
y = 4
Step-by-step explanation:
Equation: y = 3x - 2
Plug in x = 2
New equation: y = 3(2) - 2
Simplify: y = 6 - 2 --> y = 4
Answer: y = 4
16. Show your work and check your answer(s).
√2x-1+7=4
Answer
X=25
Step-by-step explanation:
How many tiles would be in figure 100? Help :/
Answer: pretty sure it is 201 tiles
please mark me brainlies. That would be helpful
Help on this anyone?
Answer:
If angle LMN is 63 degrees and angle LMO is 32 degrees and angle OMN + angle LMO is 63 degrees
we subtract 32 from 63 to find OMN
63-32 = 31
Step-by-step explanation:
Answer:
31 degrees
Step-by-step explanation:
The biggest angle is 63 degrees, for find OMN we have to do
63 - 32 = 31 degrees
What is the complete factorization of x2 + 4x − 45?
Answer:
(x-5) (x+9)
Step-by-step explanation:
what multiplies to -45 but adds to positive 4? -5 and 9. that's how you get (x-5) (x+9)
Hey, can someone help me with this fast thanks!!
Answer:
Your answer is 82
Step-by-step explanation:
15+25+13+13+8+8=82
Answer: c
Step-by-step explanation:
SOMEONE PLEASE HELP ME I DONT KNOW HOW TO DO THIS TYPE OF PROBLEM
Answer:
Step-by-step explanation:
Because angles SQR and RQT are central angles, they are congruent to the arcs they intercept. This means that arc SR = 101 and arc RT = 118, making the whole major arc SRT = 219. That means that the minor arc, ST is 360 - 219 which is 141. We are looking in particular for the measure of angle SRT. It just so happens that angle SRT is an inscribed angle, so by definition it is one-half the measure of the arc it intercepts. It intercepts arc ST which we found measures 141, so angle SRT is 141/2 = 70.5
2. Which trinomial below is equivalent to the square of the binomial x-5?
(1) x² + 25
(3) x? - 25
(2) x² -10x+25
(4) x?-10x – 25
Answer:
2) x² - 10x + 25
Step-by-step explanation:
(x - 5)(x - 5) = x² - 5x -5x + 25
Combining like terms
x² - 10x + 25
In a biscuit tin, there are 10 chocolate and 4 shortbread biscuits. What proportion are, a) Chocolate ?
Answer:
Proportion of chocolate in biscuit tin = 5:7
Step-by-step explanation:
Given:
Number of chocolate in biscuit tin = 10
Number of shortbread biscuits in biscuit tin = 4
Find:
Proportion of chocolate in biscuit tin
Computation:
Proportion of chocolate in biscuit tin = Number of chocolate in biscuit tin / Total product in biscuit tin
Proportion of chocolate in biscuit tin = 10 / [10 + 4]
Proportion of chocolate in biscuit tin = 10 / 14
Proportion of chocolate in biscuit tin = 5:7
Robert has 3.38 pounds of cat food he uses 0.26 of cat food to feed one cat how many cats can Robert feed with the cat food he has
Answer:
Robert can feed 13 cats.
Step-by-step explanation:
To solve this we simply divide.
3.38 divided by 0.26 = 13
Therefore Robert can feed 13 cats.
HELP NOWhhhhhhhhhhhhhhhhhhhhhhh
Answer:
r = 1/5
Step-by-step explanation:
Substitute x=15 and y=3 into the equation given.
Transpose so that r = 3/15
Simply 3/15
r = 1/5
Answer:
4.4/22 = .2
r=.2
Step-by-step explanation:
Find the missing angle measurements of HFG ? , fill in the boxes
Answer:
Angle HFG = 24 degrees
Step-by-step explanation:
From the diagram, we have the following;
Angle EFH and angle HFG are complementary (they add up to be 90 degrees)
angle EFH + angle HFG = 90
Angle HFG = 90-66
Angle HFG = 24 degrees
If f(1)=7 and f(n)=3f(n-1)+3 then find the value of (3)
Given:
[tex]f(1)=7[/tex]
[tex]f(n)=3f(n-1)+3[/tex]
To find:
The value of f(3).
Solution:
We have,
[tex]f(n)=3f(n-1)+3[/tex] ...(i)
Substituting [tex]n=2[/tex] in (i), we get
[tex]f(2)=3f(2-1)+3[/tex]
[tex]f(2)=3f(1)+3[/tex]
Substituting [tex]f(1)=7[/tex] in the above equation, we get
[tex]f(2)=3(7)+3[/tex]
[tex]f(2)=21+3[/tex]
[tex]f(2)=24[/tex]
Now, substituting [tex]n=3[/tex] in (i), we get
[tex]f(3)=3f(3-1)+3[/tex]
[tex]f(3)=3f(2)+3[/tex]
Substituting [tex]f(2)=24[/tex] in the above equation, we get
[tex]f(3)=3(24)+3[/tex]
[tex]f(3)=72+3[/tex]
[tex]f(3)=75[/tex]
Therefore, the value of f(3) is 75.
What is the area of this cube 6 4 5
[tex]12 {p}^{5} r \div ( - 10pq)[/tex]
ASAP!!!! PLS HELP
Answer:
Step-by-step explanation:
[tex]\frac{12p^{5}r}{-10pq} = \frac{-6p^{5-1}r}{5q}\\\\=\frac{-6p^{4}r}{5q}[/tex]
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]
PLEASE HELPP
use the spinner to find the odds in favor of stopping on a multiple of 6
-3 (7x + 7) = -38 - 4x
Answer:
x = 1
Step-by-step explanation:
-3 (7x + 7) = -38 - 4x
-3(7x)-3(7) = -38 - 4x
-21x - 21 = -38 - 4x
-21x+4x = -38+21
-17x = -17
x = -17/-17
x = 1
Answer:
x = 1.
Step-by-step explanation:
-3(7x + 7) = -38 - 4x
Use distributive property to get:
-21x - 21 = -38 - 4x
Add 4x to both sides to get:
- 17x - 21 = -38
Add 21 to both sides to get:
- 17x = -17
x = 1.
I hope this helps, have a nice day.
Tomas needs lumber to make corner braces for a piece of furniture he is building. He cuts 4 feet from a board that is 8 feet long. With the wood
he has left, Tomas makes 18 corner braces of equal size. How many inches of wood does each brace use?
Answer:
Each brace uses 2.[tex]\overline 6[/tex] inches of wood
Step-by-step explanation:
The given parameters are;
The length of the board from which he cuts the wood = 8 feet
The length of the wood he cuts from the board = 4 feet
The number of corners on the braces of equal sizes he makes with the wood he has left = 18 corner brace
We have;
The length of the wood he has left = (The length of the board) - (The length of the wood he cuts from the board)
∴ The length of the wood he has left = 8 feet - 4 feet = 4 feet
The length of each brace the man can cuts from the wood he has left = (The length of the wood he has left)/(The number of corner braces he cuts)
∴ The length of each brace = (4 feet)/(18 braces) = (48/18) inches/(braces) = (8/3) inches/brace = 2.[tex]\overline 6[/tex] inches of wood per brace
GELPPPPPP
(1) Distributive property
(2) Associative property
(3) Addition property of equality
(4) Division property of equality
Evaluate the expression when a = 4 and c= -6
-a + 3c
Answer:
-22
Step-by-step explanation:
if a = 4, then it will be
-4 + 3(-6)
-4 - 18
which will be equal -22
4 + 3 × -6 = -22
Your welcome! :)
Find the value of x that will make line u parallel to line v. Show all of your work
Answer:
x = - 11
Step-by-step explanation:
u and v are parallel if you have equal alternate interior angles .
that is ,
x + 111 = 100
x = 100 - 111
x = - 11
Determine the value for x in the picture below.
Answer:
x=9
Step-by-step explanation:
Similar triangles
8/20 = 6/(x+6)
==> 2/5 = 6/(x+6)
2/5x+12/5=6
2/5x=18/5
x=9
need help? will get brainlylist
Answer:
its the first answer.
hope this helps you a lot.
Chord is a line that joins any two points on the circle
AC,BC
OPTION A is the correct answer