Answer:
$604.47
Step-by-step explanation:
Given data
Cost of camera= $560.99
Tax= 7.75%
Let us find the amount of the tax
=7.75/100* 560.99
=0.0775*560.99
=$43.48
Hence the amount of the tax is $43.48
Therefore the total cost is
=43.48+560.99
=$604.47
Consider the equation 1/4(x – 5) = (y – 2)^2. What is the equation of the directrix?
A.) x = 4.0000
B.) x = 4.7500
C.) x = 4.6250
D.) x = 4.9375
Answer:
D
Step-by-step explanation:
Find the vertex
¼(x-5) = (y-2)²
x-5 = 4(y-2)²
x = 4(y-2)² + 5
This is a right-opening parabola with vertex (5,2).
focal length p = 1/(4·coefficient of y²) = 0.0625
directrix: x = 5-p = 4.9375
D
The equation of directrix of the parabola will be x = 4, i.e. Option A.
What is directrix ?Directrix is a straight line distance to which from any point of a conic section is in fixed ratio to the distance from the same point to a focus. The directrix is perpendicular to the axis of symmetry and does not touch the parabola.
We have,
[tex]\frac{1}{4} (x - 5) = (y - 2)^2[/tex]
Now,
Rewrite as,
[tex](x - 5) = 4(y - 2)^2[/tex]
Now,
[tex]x= 4(y - 2)^2+5[/tex]
Now,
Comparing it with the vertex form,
i.e.
[tex]x = a ( y - h )^ 2 + k[/tex]
Vertex of parabola = (2, 5),
So,
Focus at (a, 0),
So,
Focus of the parabola = (4, 0),
i.e., a = 4
Now,
The Equation of directrix is given by x = a
So,
The equation of the directrix of this parabola,
x - a = 0,
i.e.
x - 4 = 0
⇒
x = 4
Hence, we can say that the equation of directrix of the parabola will be x = 4, i.e. Option A.
To know more about directrix click here
https://brainly.com/question/4333610
#SPJ2
Simplify:
64 ÷ 8 + 6 (2)
A. 23
B. 20
C. 17
Answer:
B. 20
Step-by-step explanation:
64 ÷ 8 + 6(2)
64 ÷ 8 + 12
8 + 12
20
Answer:
B) 20
Step-by-step explanation:
64/8+6(2)
8+6(2)
8+12
20
A bank offers an investment account with an annual interest rate of 1.27% compounded quarterly. Heather invests $3400 into the account for 3 years.
(A) Assuming no withdrawals were made, how much money is in Heather's account after 3 years?
(B) How much interest is earned on Heather's investment after 3 years?
Explain why the triangles are similar. Then find the value of x.
Answer:
x=12
Step-by-step explanation:
the 2 triangles are proportionately identical.
the larger one is 1/3 larger, so x would be 9 plus 1/3 of 9- 12
I need help with question can anyone help me?
Answer:
B
Step-by-step explanation:
HELP ME BECAUSE I HAVE NO IDEA HOW TO DO THIS
Answer:
3
Step-by-step explanation:
ill reply to this gimmie a moment
Answer:
(-∞, 3] or x[tex]\leq[/tex]3
Step-by-step explanation:[tex]inf[/tex]
we treat it like a normal linear problem.
We can add 3 on both sides to get:
-10w[tex]\leq[/tex]-30
we can divide both sides by -10 to get...
w[tex]\leq[/tex]3
Or if nessessary, the interval notation is (-∞, 3]
Hope this helped!
HARD QUESTION 100 POINTS
Answer:
2
There is a picture the website is Math-way I use it all the time to help out or just to check my answers.
Answer:
i was abt to answer but too late prolly
Step-by-step explanation:
if u still wanna know,
What is the area of this figure?
(Use = 3.14 and round to two decimal places.)
0.1 cm
Answer:
the area of above figure is 0.31 cm^2
Answer:
A ≈ 0.03 cm²
Step-by-step explanation:
Area of a circle = πr²,
where π (pi) ≈ 3.14 or 22/7 as a close fraction is the ratio (factor) between the circumference and the diameter (2 times / twice the radius),
and r² is the radius squared or multiplied by itself once.
Given that the radius is 0.1 cm in this situation,
the area of this circle is as follows:
A = πr² → A = π (0.1)² cm² → π(0.01) cm² → 0.01π cm² →
(1/100)(π) cm² → π / 100 cm² → 3.14 / 100 cm² →
0.0314 cm² ≈ 0.03 cm²
A robot’s height is 3 meters 40 centimeters. How tall is the robot in millimeters?
Answer:
3400
Step-by-step explanation:
if you add it all up in cm, which is 340cm then divide by 10 you get 3400.
Two fifth grade classes are attending an amusement park as a field trip. Their teachers purchased the tickets for the class and the parent chaperones. Mrs. Lin purchased 3 child tickets and 17 adult tickets, which cost a total of $558. Mr. Shepherd purchased 3 child tickets and 11 adult tickets, paying a total of $378. What are the ticket prices?
Answer:
1 Adult ticket=$35
1 Children ticket=$20
Step-by-step explanation:
21C+15A=945
6C+6A=330
we find adult tickets 1st
42C+30A=1890
42C+42A=2310
12A=420
A=35
we will find children ticket next
42c+30a=1890
30c+30a=1650
12c=240
C=20
A rectangular wall is 4x-5 units high and 2x+7 units long. Which polynomial best represents the area of the wall in square units?
Answer:
8x^2 + 18x - 35.
Step-by-step explanation:
Area = (4x - 5)(2x + 7)
= 8x^2 + 28x - 10x - 35
= 8x^2 + 18x - 35.
Natalie and Breanna decide to buy chocolates and giant sour keys for the class. They buy 130 giant
sour keys and chocolates combined. If they spend a total of $66.85 in total, and chocolates cost $0.22
and giant sour keys cost $1.07, how many of each did they buy?
please explain step by step do you can!:)
Answer:
148
Step-by-step explanation:
Jabar earns $5 for the first 10 pounds of newspaper he recycles, then $0.25 for each additional pound. Which expression represents the amount he
earns for recycling p pounds of newspaper if p > 10?
A
5 +0.25 (p - 10)
B
(5 +0.25) P
с
5 + 0.25p
D
5 (10) +0.25p
(x-1) (x+2) (x-3)= muszę wykonać działanie wyznaczyć iloczyn
Answer:
x^3-2x^2-5x+6
Step-by-step explanation:
Simplify using order of operations
(6 - 3)^2
1. 8
2. 6
3. 9
Can you guys help me? Best answer gets branliest
Answer:
its less than one i think cause ive answered this same question not to long ago
Step-by-step explanation:
Answer:it’s greater than
Step-by-step explanation: because in the measures of DEF those are bigger
How many faces does the solid figure made from the net below have?
43
Answer:
43
Step-by-step explanation:
If Sara have 3 Appels and hany have 20 apples how many we have in total
Answer:
23
Step-by-step explanation:
20+3=23
HELP NOW WILL GIVE POINTS TO IF HELPED, If the JellyBelly factory had a bagging machine that loaded 1000 jelly beans into a bag that is allowed a 0.5% error range amount. What is the range of jelly beans [x] that could be in the bag, without it being rejected? : x ,
Answer:
just search up Mathaway in your browser you will get your answer and a step by step explanation!
Step-by-step explanation:
Use the diagram to complete the statements.
The measure of angle L is
70
°.
The trigonometric ratio that uses ∠M and LN to solve for NM is
.
The length of NM, to the nearest tenth, is approximately
.
Which expression shows the result of applying the distributive property to 12(5y+4)?
60y + 4
5y + 48
17y + 16
60y + 48
Answer:
60y+48
Step-by-step explanation:
what is the area of the following shape
Answer:
30 ft^2
Step-by-step explanation:
Break the figure into smaller pieces:
5*2=10
10*2=20
Add the areas
20+10=30
The are of the figure is 30 ft^2
A researcher randomly asked 284 people how they prefer their eggs cooked and if they prefer orange juice or coffee with their breakfast. The two-way table displays the data.
Suppose a survey respondent is randomly selected. Let event F = fried eggs and let event O = orange juice. What is the value of P(O|F)?
StartFraction 22 Over 126 EndFraction
StartFraction 50 Over 158 EndFraction
StartFraction 41 Over 126 EndFraction
StartFraction 41 Over 91 EndFraction
Answer:
41/91
Step-by-step explanation:
edggggge
A driveway measures 1.25 miles.
What does the driveway measure in feet?
Answer:
If you have a conversion table that would be 6600 feet.
Step-by-step explanation:
brainliest? >.<
Answer:
I think it's 3,960 ft!
Please give brainliest!
help me simplify this
Answer:
Da^^ good luck that looks hard
Step-by-step explanation:
Suppose the points shown on the coordinate plane are vertices of a rectangle. Which statements are correct? A) The perimeter of the rectangle is 14 units. B) The perimeter of the rectangle is 28 units. C) The coordinates for the fourth vertex of the square are (5, 5). D) The coordinates for the fourth vertex of the rectangle are (−5, −6). E) The coordinates for the fourth vertex of the rectangle are (−5, −3).
Answer:
A
Step-by-step explanation:
Answer:
I beleive it is A and C i just took the test!
Step-by-step explanation:
yourwelcome! :)
Tim was given $100 for his twelfth birthday. He's curious to see how much it will grow to if he earns interest on it. His mother tells him that she has about $3,000 in the same kind of account and she earned $60 last year. About how much interest could Tim expect to eam in a year?
Answer:
$102
Step-by-step explanation:
3000 x Y = 3060
3060/300 = Y
Y = 1.02
100 x 1.02 = $102
Hope this helps!!
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find Sylvie’s hourly earnings? Select all that apply.
(Two Answers!)
A. 110 – 16 = 10h
B. 110 = 16h + 10
C. 16 = 110 – h
D. 110 = 16 + 10h
E. 110 + 16 = 10h
Note: I already know one of them is D, I don't know what the other one is though.
help a b outttttttt please
Answer:
The two numbers are 9 and 11
Solve the unit rate
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
See the thing on the left?
▢ unknown
- = -
▢ 1
Fraction lines that look like minus signs, missing units, poor formatting—it’s ridiculously unclear!
::::;
Julius’s walking rate is
(12 miles)/(3 hours) = (4 miles)/(1 hour)
time walked in 1 hour = 1 hour × (4 miles)/(1 hour) = 4 miles
time walked in 2.5 hours = 2.5 hours × (4 miles)/(1 hour) = 10 miles
time walked in 13 hours = 13 hours × (4 miles)/(1 hour) = 52 miles
time required to walk 27 miles = 27 miles × (1 hour)/(4 miles) = 6.75 hours
time required to walk 106 miles = 106 miles × (1 hour)/(4 miles) = 26.5 hours