Answer:
3/2x
Step-by-step explanation:
−
2
3
x
−
4
9
=
3
2
x
Define the axis of symmetry, vertex, focus and directrix for
16(y-4)= (x-3)^2
NO LINKS!!
Answer:
see attached
Step-by-step explanation:
The equation is in the form ...
4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance
Comparing this to your equation, we see ...
p = 4, (h, k) = (3, 4)
p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...
vertex: (3, 4)
axis of symmetry: x = 3
focus: (3, 8) . . . . . 4 units up from vertex
directrix: y = 0 . . . horizontal line 4 units down from vertex
A jeans maker is designing a new line of jeans. These jeans will sell for $410 per unit and cost $328 per unit in variable costs to make. Fixed costs total $120,000. If 5,000 units are produced and sold, income equals:
Answer:
$290,000
Step-by-step explanation:
Total cost = total variable cost + fixed cost
= 5000×328 + 120000
= 1640000+120000
=1760000 $
The jeans maker earns in total = 5000 × 410
= 2050000 $
So the income is
= 2050000 – 1760000 = 290000 $ ( Answer)
If the number of units is 5,000. Then the income will be $290,000.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
A pants producer is planning another line of pants. These pants will sell for $410 per unit and cost $328 per unit in factor expenses to make. Fixed costs complete $120,000.
Let 'x' be the number of units. Then the equation is given as,
Income = Selling cost - Variable cost - Fixed cost
Income = $410 x - $328 x - $120,000
Income = $82 x - $120,000
If the number of units is 5,000. Then the income is calculated as,
Income = $82 (5,000) - $120,000
Income = $410,000 - $120,000
Income = $290,000
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
Consider the triangle below.
M
(15x + 5)º
--
(3x + 2)
(5x - 11)
N
Determine the measure of angle P.
Р
mZP
degrees
The measure of angle P is 29 degrees
The sum of an interior angle of a triangle is 180 degrees. Given the following parameters:
m<M = 15x + 5m<N = 3x + 2m<P = 5x - 11Taking the sum and equating to 180 degrees:
m<M + m<N + m<P = 180 degrees
15x + 5 + 3x + 2 + 5x - 11 = 180
23x - 4 = 180
23x = 184
x = 184/23
x = 8
Get the measure of m<P
m<P = 5x - 11
m<P = 5(8) - 11
m<P = 40 - 11
m<P = 29 degrees
Hence the measure of angle P is 29 degrees
Learn more on angles here: https://brainly.com/question/25770607
Zachery sold 85 shares of stock for $65 a share. He paid $43 for it three years ago. How much was his capital gain?
Answer:
85*65=5525
85*43=3655
5525-3655=1870
Hope This Helps!!!
Here are the ingredients for a cake. 0.225 kg butter 225 g sugar 225 g flour 0.2 kg eggs 250 g berries How much do the ingredients weigh altogether?
Answer:
1125.
Step-by-step explanation:
I'm going to work out the answer is grams.
1kg = 1000g
0.225kg of butter = 225g, 225g of sugar, 225g of flour, 0.2kg of eggs = 200g, 250g of berries.
225 + 225 + 225 + 200 +250 = 1125.
Hope that helps. x
Answer:
1.125kg or 1125g
Step-by-step explanation:
1kg: 1000g
Butter: 0.225kg or 225g
Sugar: 225g or 0.225kg
Flour: 225g or 0.225kg
Eggs: 0.2kg or 200g
Berries: 250g or 0.25kg
In kg: 0.225 + 0.225 + 0.225 + 0.2 + 0.25 = 1.125
In g: 225 + 225 + 225 + 200 + 250 = 1125
how do i get the answer for this problem. 2x+2x+2=4x+2
erica takes the bus to work. the bus ride to work costs her $2.00 each time. She could buy a bus pass for a one-time fee of $15 and would only pay $1.00 each time to ride the bus. how many times would she have to take the bus in order for the cost to be the same?
Answer:
i think 15 times
Step-by-step explanation:
2×x = 15+(1×x)
2x = 15+x
x = 15
For this item, complete the choice matrix by clicking the appropriate answer in each row.
Determine whether each unit rate is equivalent or not equivalent to
Equivalent
Not Equivalent
the unit rate, in inches per year, of growing inch in Ğ of a year
the unit rate, in lessons per hour, of finishing of a lesson in hours
the unit rate, in miles per hour, of jogging 1/8 mile in 3/8 hour
Step-by-step explanation:
1/2 inch in 2/3 of a year
1/2 / 2/3 = 1/2 × 3/2 = 3/4
NOT equivalent.
4/9 lesson in 4/3 of an hour
4/9 / 4/3 = 4/9 × 3/4 = 12/36 = 1/3
Equivalent.
1/8 mile in 3/8 of an hour.
1/8 / 3/8 = 1/8 × 8/3 = 8/24 = 1/3
Equivalent.
Please help my assignment
i need some help, please
Answer:
i think probably x = 10
Step-by-step explanation:
sin(60°) = 5√3/x
√3/2 = 5 √3/x
√3 x = 10√3
x = 10
Help help help math math
Answer:
The slope is 1
Step-by-step explanation:
Notice that for every 2 unit increase in y, there's a 2 unit increase in x. This determines our slope, or rate of change. So, the slope is Δy/Δx=2/2=1.
Answer:
1
Step-by-step explanation:
help I have no clue what I'm doING
Answer:
3.0
4.5
6.0
7.5
Step-by-step explanation:
it rains at the rate of 1.5cm per hour
In two hours, the amount will be; 1.5 × 2
= 3cm
in the three hours, the amount will be 1.5×3
=4.5cm
in four hours, the amount will be; 1.5×4
=6cm
in five hours, the amount will be; 1.5×5
=7.5cm
A 67-kilogram cannon fires a 1 kilogram cannonball at 45 m/sec. If the cannon is on wheels, at what speed does it move backward?
Answer:
-1.4 m/sec [backwards]
Step-by-step explanation:
The energy of the cannon moving should be equal to the energy contained in the cannonball. Kinetic energy for each is calculated using KE = (1/2)m[tex]v^{2}[/tex]
Let x be the speed of the cannon.
Cannonball:
KE = (1/2)m[tex]v^{2}[/tex]
KE = (1/2)(1kg)(45 m/sec)^2
KE = 22.5 kg*m/sec^2
Cannon: [The cannon will have the reverse energy]
KE = - (1/2)m[tex]v^{2}[/tex]
22.5 kg*m/sec^2 = -(1/2)(67 kg)x^2
22.5 kg*m/sec^2 = -(33.5 kg)x^2
x^2 = (33.5 kg)/(22.5 kg*m/sec^2)
x^2 = -1.4 m/sec [backwards]
What is the probability of randomly selecting a month pf year and not getting a month that ends in y?
Answer:
2/3
Step-by-step explanation:
The months whose names end in 'y' include Jan, Feb, May, Jul. The probability of randomly selecting a month whose name ends in 'y' is 4/12 (remember that there are 12 months in a year), or 1/3.
Thus, the probability of selecting a month whose name does NOT end in 'y' is 8/12, or 2/3. Note that this event is the 'complement' of the first event:
P(name does not end in 'y') = 1 - P(name does not end in 'y') = 1 - 1/3 = 2/3
34/23 as a decimal rounded to the nearest tenth
Answer:
1.5
Step-by-step explanation:
1.47826086
rounded to the nearest tenth is 1.5
x^2 + bx - 4 = 0?
What is b equal to?
[tex]\mathfrak{ x ^ { 2 } + b x - 4 = 0} [/tex]
[tex]\mathfrak{bx-4=-x^{2} } [/tex]
[tex]\mathfrak{bx=-x^{2}+4 } [/tex]
[tex]\mathfrak{xb=4-x^{2} } [/tex]
[tex]\mathfrak{\frac{xb}{x}=\frac{4-x^{2}}{x} } [/tex]
[tex]\mathfrak{ b=\frac{4-x^{2}}{x} } [/tex]
[tex]\mathfrak{b=-x+\frac{4}{x} } [/tex]
AnSwEr
[tex]\boxed{\mathfrak{b=-x+\frac{4}{x},x\neq 0 } }[/tex]
ღ ꪑ꠸᥅ꫀꪊ
Nelson and Jamie both want to buy a $250 bicycle.
Nelson has saved $136 and Jamie has saved $142. How much
more money do they each need to save?
Nelson and Jamie both want to buy a $250 bicycle. Nelson has saved $136 and Jamie has saved $142. How much more money do they each need to save?
Answer:-Given,Price of the bicycle = $250
Money saved by Nelson = $136
Money saved by Jamie = $142
Now,Nelson = $250 - $136 = $114
Jamie = $250 - $142 = $108
Nelson needs to save $114
Jamie needs to save $108
Two rectangles are similar. The first has a length of 5cm and a width of 2cm. The second rectangle is an enlargement using a scale factor of 3. What will be the perimeter of the larger rectangle??
Group of answer choices
30 cm
4.666666667 cm
42 cm
21 cm
Answer:
C.) 42 cm
Step-by-step explanation:
When you enlarge the rectangle by a scale of 3, you are multiplying its perimeter by 3
2*2+5*2=4+10=14
14*3=42
sonya has 12 cup box of ceral she wants to pour the cereal into small 1/4 cup snake how many bags of cereal will she have
a- 48
b-36
c- 24
d- 12/48
e-3
Answer:
a - 48
Step-by-step explanation:
12 cups are divided into 1/4 cup bags.
Converting 12 into a fraction, you get:
12/1 divided by 1/4.
When we divide fractions, we flip the second fraction and change the operation to multiplication.
12/1 * 4/1.
Since 12/1 and 4/1 are now just whole numbers, (12 and 4), we can multiply them together.
12 * 4 = 48.
How many yards is 24 feet
Answer:
8 yards
Step-by-step explanation:
1 yard is equal to 3 feet, so we just do 24/3 = 8 yards
Answer:
8
Step-by-step explanation:
1 feet is 3 yards so 24 yards is 8
Plz help and explain plz
Answer:
-3/7x +6
Step-by-step explanation:
1/7x +9 -4/7x -3
Combine like terms
1/7x -4/7x +9-3
-3/7x +6
PLEASE HELP ME please
Answer:
C
Step-by-step explanation:
There isnt rly a lot of information from this question but my best guess would be C. It says "1 drop in each eye bid every 10 days", so assuming that 1 drop equals 1 ml and knowing we have to do it in "each eye bid" we could assume 2ml of eye drops would be used every 10 days.
Sorry if im wrong but i hope this helps have a great day and happy holidays (｢•-•)｢
A contractor decides that he can build a house in eight weeks using 5 men. If he employs 3 more men, how long will the job take? Assume that all the men work at the same rate.
What is the LCD/LCM of this equation
-12.2 + 2.8W - 8.8 = 1.05w
Answer: 2.8 W. 2.6 W. 2.4 W. 2.2 W. 2.0 W. 1.9 W. 1.7 W
Step-by-step explanation:
Answer:
LCD/ LCM = 100
Step-by-step explanation:
- 12.2 + 2.8W - 8.8 = 1.05W
- 12 [tex]\frac{2}{10}[/tex] + 2 [tex]\frac{8}{10}[/tex] W - 8 [tex]\frac{8}{10}[/tex] = 1 [tex]\frac{5}{100}[/tex] W
- [tex]\frac{122}{10}[/tex] + [tex]\frac{28}{10}[/tex] W - [tex]\frac{88}{10}[/tex] = [tex]\frac{105}{100}[/tex] W
the LCM/ LCD is 100
The sum of two consecutive integers is -11. Find the number
Answer:
-5 and -6
Step-by-step explanation:
Lets do the equation: x+x+1=-11
Add: 2x+1=-11
Subtract: 2x=-12
Divide: x=-6
The smaller integer is -6
The larger integer is -5
find the value of x.
Answer:
25
Step-by-step explanation:
x+7 = 32 (similar triangles)
x = 25
I need help with this please
Answer:
hello the answer you are looking for should be s3xy kong 243
Step-by-step explanation:
Ivanna is saving money to buy a game. So far she has saved $12, which is 3/4 of the total cost of the game. How much does the game cost?
Answer:
24?
Step-by-step explanation:
sabihin nyo kung mali -_-
What is the volume of this rectangular prism?
1
cm
2
4 cm
ola
3
cm
cm3. Because this is hard
Step-by-step explanation:
Volume=length*width*height
V = (3/2)*(4)*(1/2)
= 12/4 = 3cm^3
Thando would like to beat the record for the 1600m race ,the previous record was a time of 7 minutes 23 seconds .if her race starts at 11:05:17 what time does she need to end the race to beat the record ?
Answer: 11:12:40
Step-by-step explanation: If im right pls give brainliest