Solve. If a gallon of milk costs $3 now and the price is increasing 10% each year, how long before a gallon of milk costs $10?
Answer: 12.63 years
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
A = P (1 + r) t
Where:
p = original price
r = increasing rate (decimal form)
t= years
A = price after t years
10= 3 (1 + 10/100) t
10= 3(1.1)^t
10/3= 1.1^t
log 10/3 = log 1.1^t
log 10/3 = t log 1.1
log (10/3)/ log 1.1 =t
t = 12.63 years
Feel free to ask for more if needed or if you did not understand something.
which equation matches the graph?
Answer:
Match the x coordinates with the y ones
Step-by-step explanation:
Basically that’s it
Simplify (write without the absolute value sign):
|x÷3|, if x=0
Answer:
0
Step-by-step explanation:
zero divided by anything that is integral is zero and 3 in a integer
0
A garden measuring 16 meters by 8 meters is going to have a walkway constructed all around the perimeter, increasing the total area to 240 square meters. What will be the width of the pathway?
Answer:
The width of the pathway is:
7 meters.Step-by-step explanation:
To identify the width of the pathway, you must remember the area formula of a rectangle:
Area of a rectangle = length * width.From which the width can be cleared:
Width of a rectangle = area / length.We know that the length of the terrain was not modified since the pathway is in the perimeter of the rectangle (16 m) and that the new area is 240 m^2, so we only have to replace the cleared formula:
Width of a rectangle = 240 m^2 / 16 m = 15 m.The new width is equal to 15 meters, but since the question is not the total width but the width of the pathway, the width of the previously provided land must be subtracted from the value obtained.
Pathway width = Total width - Garden width. Pathway width = 15m - 8m = 7 meters.Translate into an equation or inequality. Do not solve.
“One-third of a number is at most 12”
Answer:
(1/3)n ≤ 12
Step-by-step explanation:
“One-third of a number is at most 12” becomes
(1/3)n ≤ 12, or
(1/3)n ≤ 12
What are the slope and the y-intercept of the linear function that is represented by the graph?
On a coordinate plane, a line goes through points (negative 3, 0) and (negative 2, 4).
Answer:
slope is 4 and y-intercept is 12
Step-by-step explanation:
To solve this problem, let's actually just write the equation of the line in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
Slope is change in y divided by change in x. Given (-3, 0) and (-2, 4), the slope will be: (4 - 0) / (-2 - (-3)) = 4 / 1 = 4. So, the slope is m = 4.
Now, our equation so far is y = 4x + b. To find b, plug in, say, -3 for x and 0 for y:
0 = 4 * (-3) + b
0 = -12 + b
b = 12
Then the slope is 4 and the y-intercept is 12.
Answer:
[tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} } = \frac{0 - 4}{-3+2} = \frac{-4}{-1} = 4[/tex]
4 is the slope
now we have to plug in the slope intercept formula where m is 4
you can find b by plugging one of the points
I choose (-3,0) since it is easier to work with
0 = 4(-3) + b
0 = -12 + b
12 = b
Our y intercept is 12
finally the slope intercept form is
y = 4x + 12
Slope formula - (y2 - y1)/ (x2-x1)
Slope intercept form = y = mx + b
Step-by-step explanation:
!!help!!
Check the picture please
Answer:
3
Step-by-step explanation:
1/2 of 30 is 15:Biennials
2/5 of 30 is 12:Perennials
1/10 of 30 is 3: Annuals
15-12=3
WILL MARK THE BRAINLEIST Find the surface of the rectangle prism ,show all of your work
What is the solution to the system of equations below?
2y=x+6
3x =y+7
A. (5, 4)
B. (20,13)
C.(13, 20)
D.( 4,5)
Answer:
D
Step-by-step explanation:
equation form: x=4, y=5
What is the answer for this algebra question
Answer:
d
Step-by-step explanation:
A family plan to catch a ferry and need to book in at 12:02 am. The journey to the ferry port will take 2 hours 45 minutes. What time should they leave home in order to get to the ferry port on time?
Answer:
9:17 P.M.
Step-by-step explanation:
If the drive is 2 hours and 45 minutes and they need to be there by 12:02 am, you subtract two hours from that number. This means that if the drive was only two hours, they would have to leave home at 10:02 pm. However, it is 45 minutes longer than that so you have to subtract 45 minutes from 10:02 pm which gets 9:17 pm. Hope this helps!
Can someone helpppppppppp
Answer:
A
Step-by-step explanation:
The reason it is A is because
It goes in biggest to lowest A B C D
C and B don't follow that so we are left with A and D
In answer D C and B are too close in percentage therefore it cannot be D
Therefore your answer is A
Hope this helped!
If f(x) = -8x - 4 and g(x)
which statement is true?
7x + 3,
Click on the correct answer.
9 is not in the domain of fºg.
9 is in the domain of fºg.
Answer:
9 is in the domain of f(g(x))
Step-by-step explanation:
f(g(x)) = -8*g(x) - 4
= -8*( 7x+3) - 4
= -56x - 24 - 4
= -56x - 28
= -28(2x + 1)
f(g(9)) = -28(2*9 + 1)
= -28*19
= -532
Since 9 can be plugged into the compound function, it is in the domain.
A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 6 tons. About how much would it cost to family to move from New York to Florida?
Answer:
this is wrong sry
Step-by-step explanation:
Answer:
$7,200
Step-by-step explanation:
1 ton is 2,000 pounds so 6 tons would be 12,000 pounds. Multiply that 0.60 and you get 7,200.
Find the equation of the line that passes through (-4, 8) and has a slope of -3.
Answer:
y= -3x-4
Step-by-step explanation:
Since we already know the slope, we have to plug in values to find out the constant of the equation. We use the point given to figure it out. Y+8 and x=-4, therefore 8=-3(-4)+c ---> 8=12+c. C=-4
The area of a triangle is related to the base and height of the triangle by the formula a = bh/2. Rewrite this equation with b solved in terms of a and h.
Answer: b = 2a/h
Step-by-step explanation:
a = bh/2
multiply each side by 2
2a = bh
divide each side by h
2a/h = b
Answer:
b = 2a/h
The area of a triangle is related to the base and height of the triangle by the formula a = bh/2
NEEED HELP NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
what is the greatest common factor of 33,15
Answer:
The answer is 3
Step-by-step explanation:
Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.
What is the volume of the composite figure? Express the answer in terms of π.
144π mm3
168π mm3
312π mm3
456π mm3
Answer:
312π mm3
Step-by-step explanation: yes
The required volume of the composite figure of the sphere on the top of the cone is 312π mm³. Option c is correct
The sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters. The volume of the composite figure is to determine.
Volume is defined as the ratio of the mass of an object to its density.
Volume of composite figure = Volume of semi-sphere + Volume of cone
= 2/3πr³ + 1/3πr²h
= 2/3*6³π + 1/3*6²*14π
= 312π mm³
Thus, the required volume of the composite figure of the sphere on the top of the cone is 312π mm³.
Learn more about Volume here:
https://brainly.com/question/1578538
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Determine the value of x when f(x) = 8. f(x) = 7 1 − x What is the value of x when f(x) = 8?
Answer:
x=63
Step-by-step explanation:
If f(x)=8 and f(x)=71-x, these can be set equal to eachother
71 - x = 8
Subtract 71 from both sides to isolate the variable
- x = -63
divide both sides by -1 because the variable can not be negative
x = 63
hope this helps! :)
30 POINTS!! Please hurry
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each given function with the description of its graph.
Answer: Can you show the full question.
Step-by-step explanation:
Answer:
I don’t understand the question. Please give more info.
Step-by-step explanation:
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 112 ft, find its area.
Answer:
Area = 48*8=384 sq. in
Step-by-step explanation:
Perimeter = 112
Length 6x
Width =x cm
Perimeter = 2(6x+x)
Perimeter = 14x
112 = 14x x=
8 in Width
Length = 6*8=48 in
Area = 48*8=384 sq. in
Did this kinda fast but I hope it helped XD
Length of the rectangle = 48ft
Width of the rectangle = 8ft
Area of rectangle = 384 ft²
What is rectangle?Rectangle is a shape with four straight sides and four angles of 90 degrees (right angles). Two of the sides are longer than the other two.
Given,
Length of a rectangle is six times its width
Let width is x then length is 6x
Perimeter of rectangle = 112 ft
Perimeter of rectangle = 2(Length + Width)
2(Length + Width) = 112
2(x + 6x) = 112
7x = 56
x = 8
Width = 8 ft
Length = 6 × 8 = 48 ft
Area of rectangle = length × width
= 48 × 8
= 384 ft²
Hence, 8ft is width and 48ft is length of the rectangle. 384 ft² is the area of rectangle.
Learn more about rectangle here:
https://brainly.com/question/29123947
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Angles
SU and VX are parallel line.
which angles are alternate exterior angles?
XWY and STR
XWY and VWT
XWY and VWY
XWY and XWT
I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.
Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.
A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.
2x + 5y = 16
y + 4x = 3
Answer:
If your solving for x on the first one it’s x =−5/2y+8
If your solving for y on the second one it’s y =−4x+3
Step-by-step explanation:
For the relation S:{(2,3),(−1,4), (1,6)}. a Find the domain. B. Find range
Answer:
domain: {2, -1, 1}
range: {3, 4 6}
Step-by-step explanation:
In the relation of the form (x,y)
Set of all possible value of X is called Domain
Set of all possible value of Y is called Range
To get a list of domain and range it is required to separate value of x and y
_________________________________
Relation given in the problem
S:{(2,3),(−1,4), (1,6)}
domain: {2, -1, 1}
range: {3, 4 6}
URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!! WILL GIVE BRAINLIEST AND 25 POINTS!!!!!!!!!!!!!!
Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions does the equation have? Discriminant = b2-4ac
0
1
2
24
Answer:
Because D = 24 and this is bigger then zero, there are two real solutions.
Step-by-step explanation:
if the discriminant (D) has a positive number, then there are two real solutions. So let's calculate the value of D.
-2x² + 3 = 0
a = -2
b = 0
c = 3
D = b² - 4 * a * c
Substitute the values of a, b and c and you get...
D = 0² - 4 * -2 * 3
D = 24
Because D = 24 and this is bigger then zero, there are two real solutions.
Answer: C(2)
Step-by-step explanation:
I just took the quiz Edg2021
help so hard!!! i need help
Answer:
1. b
2. are like terms
Step-by-step explanation:
1. this is b because when you distribute, each of the terms in the parentheses will get multiplied by 3.
2. these are like terms because they have no variables. they are just numbers so they are like terms
What is the area of JKL if the coordinates of J,K and L are
Answer:
6 units²
Step-by-step explanation:
How to find quadratic equations from -1/3 and 5/6
Answer:
[tex] 18x^2 - 9 x- 5=0\\
[/tex]
Step-by-step explanation:
Let x be the variable of the required quadratic equation.
[tex] \because - \frac{1}{3} \: \& \: \frac{5}{6}[/tex] are the roots of the required quadratic equation.
[tex] \therefore \bigg(x+ \frac{1}{3}\bigg ) \: \& \: \bigg(x-\frac{5}{6}\bigg) [/tex] are factors of the required quadratic equation.
[tex] \therefore \bigg(x+ \frac{1}{3}\bigg ) \bigg(x-\frac{5}{6}\bigg) = 0\\\\
x^2 +\bigg(\frac{1}{3}-\frac{5}{6}\bigg )x+ \bigg(\frac{1}{3}\bigg )\bigg(-\frac{5}{6}\bigg )=0\\\\
x^2 +\bigg(\frac{6}{18}-\frac{15}{18}\bigg )x- \frac{5}{18}=0\\\\
x^2 +\bigg(-\frac{9}{18}\bigg )x- \frac{5}{18}=0\\\\
x^2 - \frac{9}{18} x- \frac{5}{18}=0\\\\
\huge\purple {\boxed {18x^2 - 9 x- 5=0}} \\
[/tex]
is the required quadratic equation
Please answer #5 A-C!
Answer:a
Step-by-step explanation:I know