Answer:
12y=$3
114 cans
Step-by-step explanation:
Let the cost of every can be represented by y. Therefore, for 12 cans, the cost will be the product of y cans and 12 hence cost is 12y
Since the cost incurred is $3 then we can represent these as
12y=$3
To solve for y, we divide both sides by 12 hence
Y=$3/12=$0.25
To find the number of cans that one will get with a buget of $28.5, we divide the budget by the cost of a can. This will be $28.5/$0.25=114 cans
The lengths of a certain species of beetles are normally distributed with a mean of 1.9 centimeters and a standard deviation of 0.2 centimeters.
What is the z-score of a beetle of this species with a length of 2.38 centimeters?
Answer: the z score is 2.4
Step-by-step explanation:
Since the lengths of the certain species of beetles are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = length of the beetle species.
µ = mean length
σ = standard deviation
From the information given,
µ = 1.9 centimeters
σ = 0.2 centimeters
For a species with a length of 2.38 centimeters, the z score is
z = (2.38 - 1.9)/0.2
z = 0.48/0.2
z = 2.4
A restaurant offers 5 appetizers and 10 main courses. In how many ways can a person order a two-course meal? Use the Fundamental Counting Principle with two groups of items.
Answer:
5x10=50
Step-by-step explanation:
baba booey
A band sold out a concert with 4,200 seats. A random sample of 120 ticket buyers is surveyed, and 28 buyers made their purchase on the first day tickets were being sold. How many of the 4,200 tickets are likely to have been purchased on the first day?
Answer: 980 tickets
Step-by-step explanation:
A band sold out a concert that has 4,200 seats. A random sample of 120 ticket buyers was surveyed, and 28 buyers were found to have made their purchase on the first day the tickets were being sold. This means (28/120) = 7/30 of the 120 ticket were purchased on the first day.
To get the number of first day tickets purchased when 4,200 tickets are likely to have been purchased will be the fraction gotten multiplied by 4200. This will be:
= 7/30 × 4200
= 29400/30
= 980 tickets
PLEASE HURRY my question is in the picture
Answer:
36p³-46p-24
Step-by-step explanation:
Its the second one
All we need to do is distribute
to do this, we need to multiple 6p by everything in the parenthesis
and then multiply -8 by everything in the parenthesis
If we do this, we get
36p³ + 48p² + 18p - 48p² - 64p - 24
Now we combine like terms for our final answer
the 48p² and -48p² cancel out
The FINAL answer is ...
The second option: 36p³ - 46p - 24
Question 1: The water level in a tank can be modeled by the function h(t)=4cos(+)+10, where t is the number of hours
since the water level is at its maximum height, h. How many hours pass between two consecutive times when
the water in the tank is at its maximum height?
Your answer...
Question 2: Point B has coordinates (3, -4) and lies on the circle whose equation is x + y = 25. If an angle is drawn in
standard position with its terminal ray extending through point B, what is the sine of the angle?
Your answer...
Answer:
Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours
Question 2: Sin of the angle is -0.8
Step-by-step explanation:
Question 1: Here we have h(t) = 4·cos(t) + 10
The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;
[tex]\frac{\mathrm{d} h(t)}{\mathrm{d} t} = \frac{\mathrm{d} \left (4cos(t) + 10 \right )}{\mathrm{d} t} = 0[/tex]
[tex]\frac{\mathrm{d} h(t)}{\mathrm{d} t} = - 4 \times sin(t) = 0[/tex]
∴ sin(t) = 0
t = 0, π, 2π
Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.
Question 2:
B = (3, -4)
Equation of circle = x² + y² = 25
Here we have
Distance moved along x coordinate = 3
Distance moved along y coordinate = -4
Therefore, we have;
[tex]Tan \theta = \frac{Distance \ moved \ along \ y \ coordinate}{Distance \ moved \ along \ x \ coordinate} = \frac{-4}{3}[/tex]
[tex]\therefore \theta = Tan^{-1}(\frac{-4}{3}) = -53.13^{\circ}[/tex]
Sinθ = sin(-53.13) = -0.799≈ -0.8.
The depth of a river at a certain point is modeled by the function W defined above, where W(t) is measured in feet and time T is measured in hours
Answer:
(a) The meaning of W'(8) is the rate of change of the depth of the water at time t = 8 hours is -0.8 ft/hr
(b) The tangent line equation is Y = 0.79×t +6.143
Therefore, W(3.5) ≤ 9 as 0.79×3.5 +6.143 = 8.908 < 9
(c) [tex]\lim_{t \to 2 }\frac{W(t) - t^3 + \frac{1}{4} }{t -2}[/tex] is [tex]\frac{\sqrt{3} \pi -96 }{8}[/tex]
Step-by-step explanation:
Here we have
[tex]W(t) = \begin{cases}\frac{17}{2}-\frac{3}{2}\cos \left (\frac{\pi t}{6} \right ) & \text{ if } 0\leq t\leq 6 \\ 10-\frac{1}{5}\left (t-6 \right )^{2} & \text{ if } 6< t\leq 10 \end{cases}[/tex]
(a) To find W'(8) we have
W(8) = [tex]10-\frac{1}{5}\left (8-6 \right )^{2}[/tex]
Therefore, W'(8) given by the following relation;
[tex]W'(t) = \frac{\mathrm{d} \left (10-\frac{1}{5}\left (t-6 \right )^{2} \right )}{\mathrm{d} t} = - \frac{2t-12}{5}[/tex]
∴[tex]W'(8) =- \frac{2\times 8-12}{5} = -0.8 \ ft/hr[/tex]
The meaning of W'(8) is the rate of change of the depth of the water at time t = 8 hours = -0.8 ft/hr
b) Here we have the line tangent is given by the slope of the graph at the point t = 3, therefore we have
W'(t), t = 3 = [tex]\frac{\pi \sin(\frac{\pi t}{6} )}{4}[/tex]
The tangent line equation is Y = 0.79×t +6.143
Therefore, W(3.5) ≤ 9 as 0.79×3.5 +6.143 = 8.908 < 9
c) [tex]\lim_{t \to 2 }\frac{W(t) - t^3 + \frac{1}{4} }{t -2}[/tex] where W(t) = [tex]\frac{17}{2}-\frac{3}{2}\cos \left (\frac{\pi t}{6} \right )[/tex]
[tex]\lim_{t \to 2 }\frac{W(t) - t^3 + \frac{1}{4} }{t -2}[/tex] = [tex]\frac{\sqrt{3} \pi -96 }{8}[/tex].
(1)=−10
h(2)=−2
h(n)=h(n−2)⋅h(n−1)
h(3)=
Answer:
6
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
h(3)=h(1)*h(2)=
(-10)*(-2)=
20
WILL GIVE BRAINLIST PLZ HELPPP SOMEONE!!!!
The table below shows the cost for a factory to produce mid-sized cars.
Based on the information in the table, how much does it cost the factory to produce each car?
Number of Cars Produced Cost
0 $0.00
3 $17,325.00
5 $28,875.00
6 $34,650.00
8 $46,200.00 ( THIS IS THE CHART)
A.
$17,325.00
B.
$5,775.00
C.
$2,888.00
D.
$5,875.00
Answer:
b is the correct answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
the correct answer is B
EMERGENCY!!! Please help me
Answer: 48
Step-by-step explanation: If each cube is 1/2 in length, then its volume is .25. If you divide 6/.25 it's 48
in class 30 students,13of them are boys what parcentage of the class are girl give your answer to 1 decimal place
Answer:
56.7%
Step-by-step explanation:
First determine the number of girls
30-13 = 17
The fraction of girls is 17/30
Changing this to a decimal is
.566666666
Changing to a percent
56.666666%
To one decimal place
56.7%
At the beginning of an environmental study, a forest covered an area of 1500 km2 . Since then, this area has decreased by 9.8% each year.Let t be the number of years since the start of the study. Let y be the area that the forest covers in km2.
Write an exponential function showing the relationship between y and t.
Answer:
[tex]A(t)=(0.902)^t \cdot 1500[/tex] [tex][km^2][/tex]
Step-by-step explanation:
In this problem, the initial area of the forest at time t = 0 is
[tex]A_0 = 1500 km^2[/tex]
After every year, the area of the forest decreases by 9.8%: this means that the area of the forest every year is (100%-9.8%=90.2%) of the area of the previous year.
So for instance, after 1 year, the area is
[tex]A_1 = A_0 \cdot \frac{90.2}{100}=0.902 A_0[/tex]
After 2 years,
[tex]A_2=0.902 A_1 = 0.902(0.902A_0)=(0.902)^2 A_0[/tex]
And so on. So, after t years, the area of the forest will be
[tex]A(t)=(0.902)^t A_0[/tex]
And by substituting the value of A0, we can find an explicit expression:
[tex]A(t)=(0.902)^t \cdot 1500[/tex] [tex][km^2][/tex]
3. In the diagram of circle 0, two tangents have been drawn from exterior point P to the circle at points A and B. (a) If mAB =105 , then determine the measure of ZP. Show your work.
Answer:
75
Step-by-step explanation:
Given:
mAB =105
The minor arc given mAB is 105. Subtract that from 360 to get the measure of the major arc mACB
<=> mACB = 360 - 105 = 255
As we know, the measure of an angle formed by two tangents intersesting outside the circle can be found by one haft of the difference between the mearsure of two intercepted arcs
=> the measure of ∠P is:
= (mACB - mAB)/ 2
= (255 - 105)/2
= 75
1. Identifique a abscissa e a ordenada dos pontos abaixo.
A(3,-5) abscissa__________ ordenada______________
B(-1,0) abscissa__________ ordenada______________
C(-3,5;-2) abscissa__________ ordenada______________
D(0,-1) abscissa__________ ordenada______________
Answer:
A(3,-5) abscissa:3 ordenada: -5
B(-1,0) abscissa: -1 ordenada: 0
C(-3,5;-2) abscissa: -3.5 ordenada -2
D(0,-1) abscisa: 0 ordenada:- 1
Step-by-step explanation:
What we must take into account is that the abscissa is the value of x and the ordinate is the value of y. There is always a number of the (x,y), that is, the abscissa is the first value and the ordinate is the second value, therefore:
Answer:
We need to identify abscissa and ordenada in each of the pairs given.
For a pair (x, y), x is the abscissa and y is the ordenada.
A (3,-5) abscissa_____3____ ordenada______-5_______
B (-1,0) abscissa____-1____ ordenada_______0_____
C (-3,5;-2) abscissa_____-3.5____ ordenada_____-2______
D (0,-1) abscissa_____0___ ordenada___-1_______
When Sanchez left his house this morning, his cell phone was 30% charged and it then started to lose 3% charge for each hour thereafter. Write an equation for the function B(t), representing the charge remaining in Sanchez's battery, as a percentage, t hours after he left his house.
Answer:
The equation that represents the battery charge in Sanchez's phone as a percentage t hours after he left his house is B(t) = 30 - 3*t.
Step-by-step explanation:
The initial state of the battery on Sanchez's phone is 30% so in time t equals zero the battery should be at that value and as time progresses the battery should lose battery charge at a rate of 3% for each hour. We can write this in an equation form by taking the initial state and subtract it by the rate multiplied by the value of time. We have:
B(t) = 30 - 3*t
The equation that represents the battery charge in Sanchez's phone as a percentage t hours after he left his house is B(t) = 30 - 3*t.
if the diameter of a nickel is 0.835 in and the width of each nickel is 0.077 in what is the approximate surface area of the 2$ roll of nickels round your answer to the nearest hundredth
Answer:
Step-by-step explanation:
The roll of nickels forms a cylinder
cylinder area includes the sides and the round areas
round areas = pi r^2 there is two so 2 pi r^2
= 2 pi (.835/2)^2
and the side area pi x d x h
pi x .835 ( .077 x 40) (there are 40 nickels in $ 2
Add the areas to get the total ......
To find the total surface area of a $2 roll of nickels, we calculate the surface area of one nickel and then multiply by 40 (the number of nickels in a $2 roll), resulting in an approximate surface area of 47.84 in² when rounded to the nearest hundredth.
To calculate the approximate surface area of a $2 roll of nickels, we must first determine how many nickels are in a $2 roll. Knowing that each nickel is worth 5 cents, a $2 roll would contain 40 nickels ($2.00 / $0.05 = 40). The surface area of a nickel includes the area of the circles on both sides and the area of the edge. The formula for the area of a circle is πr² (where r is the radius) and the formula for the area of the side (cylinder height) is 2πrh (where h is the width).
The diameter of a nickel is 0.835 inches, so the radius is half of that or 0.4175 inches. Using these measurements:
Area of one side = π(0.4175²) = 0.5477 in² (approx).Area of both sides = 2 * 0.5477 in² = 1.0954 in².Surface area of the edge = 2π(0.4175)(0.077) = 0.1006 in² (approx).Total surface area of one nickel = 1.0954 in² + 0.1006 in² = 1.196 in².Therefore, the total approximate surface area for a $2 roll of 40 nickels = 40 * 1.196 in² = 47.84 in².
Rounded to the nearest hundredth, the surface area is 47.84 in².
Students are playing a game. In the game, students collect and trade building materials. Materials of equal value used for trading are shown in the table.
Materials of Equal Value for Trading
1 stone = 4 logs
1 brick =10 logs
2 logs = 150 nails
Part A
How many stones are needed to trade for 10 bricks?
Answer:
25 stones will be needed to trade for 10 bricks
Answer:
25 stones see needed
Step-by-step explanation:
Since 1 brick=10 logs
10 bricks= 100 logs
Since1 stone=4 logs
X=100 logs
X=100/4
X=25 stones.
To help with packing, Ana needs to find the volume of her suitcase to determine how much she could pack. Her suitcase is a rectangular prism, with dimensions of 19 inches tall, 13 inches wide, and 7
1
2 inches deep. What is the total volume of her suitcase? Explain how you found the volume.
Answer:
1,852.5 in³
Step-by-step explanation:
Volume of a rectangular prism:
Length × width × height (depth)
19 × 13 × 7½
1852.5 inches³
he physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 40 and a standard deviation of 7. Using the 68-95-99.7 (Empirical) Rule, what is the approximate percentage of lightbulb replacement requests numbering between 40 and 47
the approximate percentage of light bulb replacement requests numbering between 40 and 47 is 34% .
Step-by-step explanation:
Step 1: Sketch the curve.
The probability that 40<X<47 is equal to the blue area under the curve.
Step 2:
Since μ=40 and σ=7 we have:
P ( 40<X<47 ) = P ( 40−40 < X−μ < 47−40 )=P ( 40−40/7< X−μ/σ < 47−40/7)
Since Z = x−μ/σ , 40−40/7 = 0 and 47−40/7 = 1 we have:
P ( 40<X<47 )=P ( 0<Z<1 )
Step 3: Use the standard normal table to conclude that:
P ( 0<Z<1 )=0.3413
Percentage = 0.3413(100)=34.13%
Therefore , the approximate percentage of light bulb replacement requests numbering between 40 and 47 is 34% .
A farmer has determined that a crop of strwberries yields a yearly profit of $1.50 per square yard. If strawberries are planted on a triangul;ar piece of land whose sides are 50 yards, 75 yards, and 100 yards, how much profit to the nearest hundred dollars, would the farmer expect to make from this piece of land during the next harvest.
Answer:
$2700
Step-by-step explanation:
Using Heron's formula, we can find the area of the triangle to be ...
A = √(s(s -a)(s -b)(s -c)) . . . . where s=(a+b+c)/2 and a, b, c are the sides
Here, we have ...
s = (50 +75 +100)/2 = 225/2 = 112.5
A = √(112.5 · 62.5 · 37.5 · 12.5) ≈ 1815.461 . . . square yards
Then the profit is expected to be ...
(1815.451 yd²)($1.50/yd²) = $2723.19 ≈ $2700
The farmer expects a profit of about $2700 from that crop.
When a force of 30 N acts on a certain object the acceleration of the object is 5m/s2 if the force is changed to 54 N what will be the acceleration of the object
Answer:
The correct answer is 9 m per [tex]second^{2}[/tex]
Step-by-step explanation:
Force is defined by mass of an object times it's acceleration.
Let the mass of the object be m kilograms.
When a force of 30 N acts on a certain object the acceleration of the object is 5 m per [tex]second^{2}[/tex]
∴ 30 = m × 5
⇒ m = 6.
If the force is changed to 54 N, let the acceleration of the object be x m per [tex]second^{2}[/tex].
∴ 54 = m × x
⇒ x = [tex]\frac{54}{6}[/tex] = 9
Thus when the force is 54 N, the acceleration of the object is 9 m per [tex]second^{2}[/tex].
3. Solve each inequality and graph the solution set.
– 3n-3> 12
x<-5
Step-by-step explanation:
-3x<12+3
3x>15 divide both sides with ÷3
x<-5
XE(-œ,-5)
please help with this question
Answer:
x = -8/2
Step-by-step explanation:
To make the equation easier to work with, our first step will be to make all of our fractions have a common denominator. Both 2 and 4 are factors of 8, so that will be our common denominator.
Old Equation: 1/4x - 1/8 = 7/8 + 1/2x
New Equation (with common denominators): 2/8x - 1/8 = 7/8 + 4/8x
Now, we're going to begin to isolate the x variable. First, we're going to subtract 2/8x from both sides, eliminating the first variable term on one side completely.
2/8x - 1/8 = 7/8 + 4/8x
-2/8x -2/8x
__________________
-1/8 = 7/8 + 2/8x
We're one step closer to our x variable being isolated. Next, we're going to move the constants to the left side of the equation. To do this, we must subtract by 7/8 on both sides.
-1/8 = 7/8 + 2/8x
- 7/8 -7/8
______________
-1 = 2/8x
Our last step is to multiply 2/8x by its reciprocal in order to get the x coefficient to be 1. This means multiply both sides by 8/2.
(8/2) -1 = 2/8x (8/2)
The 2/8 and 8/2 cancel out, and you're left with:
-8/2 = x
I hope this helps!
The adjusted multiple coefficient of determination is adjusted for
Paul withdrew $17.25 from his savings account every week for 3 weeks. Which expression is the best choice to help him determine the total amount of money he withdrew
(3)(−17.25) = −51.75; he withdrew $51.75
(−3)(17.25) = −51.75; he withdrew $51.75
(3)(17.25) = 51.75; he withdrew $51.75
(−3)(−17.25) = 51.75; he withdrew $51.75
(3)(-17.25)= -51.75
I think thats the right one
Answer:
A
Step-by-step explanation:
I hape that works
Will give brainliest
Please answer and Explain detailed
Answer:
27%
Step-by-step explanation:
50+61=111
111÷4=27
4 is the number of roles
Answer:
60%
Step-by-step explanation:
50 + 61 = 111 (amount of female 11th and 12th graders)
42 + 31 + 111 = 184 (amount of female at school)
111/184 = 60%
A rectangular box is going to be made with a volume of 274 cm3. The base of the box will be a square and the top will be open. The cost of the material for the base is 0.3 cents per square centimeter, and the cost of the material for the sides is 0.1 cents per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing it. What is the minimum cost?
Answer:
The dimensions of the box are 5.67 cm by 5.67 cm by 8.51 cm.
The total minimum cost = 28.97 cents.
Step-by-step explanation:
Let the base dimensions are a cm by a cm and the height is h cm.
So, a²h = 274 ............. (1)
And, total cost, C = 0.3a² + 0.1 × 4ah = 0.3a² + 0.4ah
C = 0.3a² + 0.4 × (274/a) ................. (2)
Now, for minimum total cost, the condition is [tex]\frac{dC}{da} = 0 = 0.6a - \frac{0.4 \times 274}{a^{2} }[/tex]
⇒ [tex]a^{3} = \frac{0.4 \times 274}{0.6} = 182.67[/tex]
⇒ a = 5.67 cm
So, [tex]h = \frac{274}{a^{2}} = 8.51[/tex] cm.
Therefore, the dimensions of the box are 5.67 cm by 5.67 cm by 8.51 cm.
And the total minimum cost = [tex]C_{min} = 0.3 (5.67)^{2} + 0.4 \times \frac{274}{5.67} = 28.97[/tex] cents. (Answer)
Answer:
0.29
Step-by-step explanation:
The product of a number and 5. The answer is 15. What’s the equation and solution
Answer:
3 * 5 = 15
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
[tex]5a = 15\\\frac{5a}{5} = \frac{15}{5} \\a = 3[/tex]
5 * 3 = 15
Which is bigger? 3kg or 40000mg
Answer:
3kg
Step-by-step explanation
kg is heavier
I just need help with this table
Answer:
from the looks of it, all you have to do is, for f(x), is plug it in as an exponent. in order (top to bottom), it should be: 64, 2048, 4096, 8192.
g(x) is being squared and then multiplied, so it should be (from top to bottom): 720, 2420, 2880, 3380
Step-by-step explanation:
Joey is trying to prove that CATS is an isosceles trapezoid. He starts by providing that line segment AT is parallel to line segment CS and that line segment AS is about the same as line segment CT. Based on that information, is this enough to prove that CATS is an isosceles trapezoid
Answer:
Yes the information i.e. AT ║ CS and diagonals AS = CT are sufficient to prove that CATS is an isosceles trapezoid.
CATS is an isosceles trapezoid. (Proved)
Step-by-step explanation:
Yes the information i.e. AT ║ CS and diagonals AS = CT are sufficient to prove that CATS is an isosceles trapezoid.
Proof :
Taking Δ CAT and Δ STA,
(i) CT = AS (Given)
(ii) AT is the common side and
(iii) ∠ ACT = ∠ TSA
{Since AT ║ CS and the angles are obtained from the same base AT}
Therefore, by the criteria Side-Side-Angle i.e. SSA, we can say Δ CAT ≅ Δ STA.
Hence, AC = ST {Corresponding sides}
Therefore, CATS is an isosceles trapezoid. (Proved)