You do 3.14 times radius squared
Aka 3.14 times 5.5 and then square that answer
Help I do not understand
A new car is purchased for 24000 dollars. The value of the car depreciates at 15% per year. To the nearest tenth of a year, how long will it be until the value of the car is 10000 dollars
The value of the car will be $10000 after 2.5 years
The cost price of the car = $24000
Rate of depreciation, r = 15%
r = 15/100
r = 0.15
The final value of the car after depreciation, A = $10000
To get the time for depreciation, use the formula below and solve for t
[tex]A=P(1-r)^t[/tex]
Substitute P = 24000, A = 10000, and r = 0.15 into the equation above
[tex]10000=15000(1-0.15)^t\\\\\frac{10000}{15000} = 0.85^t\\\\0.85^t=0.67\\\\t (ln0.85)=ln0.67\\\\-0.163t=-0.4\\\\t=\frac{-0.4}{-0.163} \\\\t=2.5[/tex]
The value of the car will be $10000 after 2.5 years
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The graph of y = |x| is shifted up by 4 units and to the right by 5 units.
What is the equation of the new graph?
Answer:
Step-by-step explanation:
The equation of the new graph is y =|x - 5| + 4|
The new equation of the graph is y = |x-5| + 4 which is determined by shifting up by 4 units and to the right by 5 units for a given function.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The equation of the graph of y = |x| can be transformed by shifting it up by 4 units and to the right by 5 units. To do this, we add 4 to the y-coordinate and add 5 to the x-coordinate. The new equation of the graph is y = |x-5| + 4
This equation can be understood by considering the function of absolute value:
y=|x| is a function that returns the absolute value of x.
and
y=|x-5| + 4 is a function that returns the absolute value of (x-5) and then adds 4 to it.
In other words, the new graph is the same as the original one but with x coordinate shifted right by 5 units and the y coordinate shifted upward by 4 units.
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The midpoint of AB is M(1, -4). If the coordinates of A are (-3,-6), what are the coordinates of B?
Answer:
The coordinates of B is (5,-2)
Step-by-step explanation:
In order to find the coordinates of B, you have to use midpoint formula. Then substitute the following values into the formula :
[tex]m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]
Let (x1,y1) be A (-3,-6),
Let (x2,y2) be B,
Let midpoint be M (1,-4),
[tex](1, - 4) = (\frac{ - 3 + x2}{2} , \frac{ - 6 + y2}{2} )[/tex]
[tex]by \: comparison, \: [/tex]
[tex] \frac{ - 3 + x2}{2} = 1[/tex]
[tex] - 3 + x2 = 2[/tex]
[tex]x2 = 5[/tex]
[tex] \frac{ - 6 + y2}{2} = - 4[/tex]
[tex] - 6 + y2 = - 8[/tex]
[tex]y2 = - 2[/tex]
State if each sequence is geometric
1, -3, 9, -27
A)Yes
B)No
Answer:
Yes
Step-by-step explanation:
since it is being multiplied by -3 each time its geometric
Find the area of the shape shown below.
12
4
The answer to this question is 32
Answer:
32
Step-by-step explanation:
select two values of x that are roots of this equation (picture included)
x^2+2x-5=0
Answer:
B and D
Step-by-step explanation:
i took this test
The roots of the equation will be - 1 - √6 and - 1 + √6. Then the correct options are B and D.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The quadratic equation is given below.
x² + 2x - 5 = 0
The solution of the quadratic equation will be
x² + 2x - 5 = 0
Add 1 on both sides, then the equation will be
x² + 2x + 1 - 5 = 1
x² + 2x + 1 = 1 + 5
(x + 1)² = 6
Taking square root on both sides, then the equation will be
x + 1 = ±√6
x = - 1 ±√6
Then the roots of the equation will be - 1 - √6 and - 1 + √6.
Then the correct options are B and D.
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There are 5 gears connected in a row, the first one is connected to the second one, the second one is connected to the third one, and so on.
If the first gear is rotating clockwise, what direction is the fifth gear turning?
Answer:
fifth gear is also rotating clockwise
How to convert a decimal to a fraction
Step-by-step explanation:
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction
hope it helps
Keith is using 12 brown and 8 white tiles to design a section of an outdoor patio for his home. Which ratio compares the number of brown tiles to total number of tiles in the section?
Answer:
8 : 20
Step-by-step explanation:
This would be 8 : 20 because all together their are 20 tiles and it is only asking for the brown tiles. So you add (the brown tiles) : (overall amount)
The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 1 van and 10 buses with 258 students. High School B rented and filled 8 vans and 5 buses with 264 students. Each van and each bus carried the same number of students.How many students can a van carry? How many students can a bus carry?
Answer:
The van holds 18 students
The bus holds 24 students
Step-by-step explanation:
v = van b = bus
High School A
1v+10b = 258
High School B
8v+5b = 264
Multiply the second equation by -2
-16v - 10b = -528
Add this to the first equation
-16v - 10b = -528
1v+10b = 258
---------------------------
-15v = -270
Divide each side by -15
-15v/-15 = -270/-15
v =18
The van holds 18 students
Now we need to find the number the bus holds
1v+10b = 258
18 + 10b = 258
Subtract 18 from each side
18-18+10b = 258-18
10b=240
Divide each side by 10
10b/10 =240/10
b = 24
The bus holds 24
Answer:
Van: 18
Bus: 24
Step-by-step explanation:
V + 10B = 258
V = 258 - 10B
8V + 5B = 264
8(258 - 10B) + 5B = 264
2064 - 80B + 5B = 264
75B = 1800
B = 24
V = 258 - 10(24) = 18
Describe two methods that can be used to find the area of the composite figure.
Answer: A composite figure is made up of several simple geometric figures such as triangles, rectangles, squares, circles, and semicircles. To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together.
Area of the composite figure can be find by using additive areas method and subtractive areas method
What is Composite figure?Composite geometric figures are made from two or more geometric figures. The composite figure below is made from parts of a rectangle and a circle
What is Area ?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Area of the composite figure can be find by using two methods,
Additive areas method and Subtractive areas method
In Addictive areas method
Break the composite shape into basic shapesFind the area of the each basic shapesAdd all the areas of basic shapes togetherIn Subtractive areas method
Break the composite shape into basic shapes. That shape maybe larger than the composite shapes.Find the area of the each basic shapesArea of the composite shape will be the difference between the area of the larger shape.Hence, the area of the composite figure can be find by using additive areas method and subtractive areas method
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Order the rational numbers from least to greatest
Answer:
its the 3rd one
Step-by-step explanation:
you find which one is smaller and then you go to the next one up
Pollution and climate change can cause coral reefs to die. How would the medical field most likely be directly affected if corals became extinct?
More people would get cancer.
Vaccinations would no longer be available.
Hard casts could no longer be made for broken bones.
Certain cancer medications could not be produced.
Answer:
They cannot come up with new innovation in terms of medicines.
Step-by-step explanation:
Coral reefs are in some cases considered the medication cupboards of the 21st century. Coral reef plants and creatures are significant wellsprings of new meds being created to treat malignant growth, joint inflammation, human bacterial contamination, Alzheimer's illness, coronary illness, infections, and different sicknesses.
Since corals are stationary creatures, many have developed concoction barriers to shield themselves from predators. Researchers keep on inquiring about the therapeutic capability of these substances.
Later on, coral reef environments could speak to an inexorably significant wellspring of restorative medications, wholesome enhancements, pesticides, beautifying agents, and other business items.When this are affected it affects the aforesaid process and researchers
Answer:
D
Step-by-step explanation:
compound interest: if 1000$ is compounded continuously at 3% interest, how much money will you have in 5 years? (use the growth formula y=Ce exponent of kt)
Answer:
The money you will have in 5 years: 1000 x (1 + 3/100)^5 = 1159.27$
Hope this helps!
:)
can someone please help me ill give a brainliest
Answer:
C
Step-by-step explanation:
-
Answer:
yes
Step-by-step explanation:
Find the measure of the reference angle for each given angle. Part 2
13. θ = -160°
14. θ = 345°
15. θ = =130°
Answer:
13. 20°
14. 15°
15. 50°
Step-by-step explanation:
Please see the attached pictures for full solution.
For negative angles, the arrow turns clockwise.
Answer:
13. 20°
14. 15°
15. 50°
Step-by-step explanation:
From a mathematical point of view, the reference angle is the smaller of α and (180°-α), where α = θ mod 180°.
That is, add or subtract multiples of 180° until the result is in the range 0–180°. Then choose the smaller of the angle and its supplement.
It is convenient to let a spreadsheet calculate these when you have a bunch of them.
__
From a geometrical point of view, the reference angle is the positive angle between the terminal ray and the nearest x-axis.
__
For the angles here, the reference angles (in degrees) are shown in the attachment.
What is the missing exponent in the equation 2? = 16?
I did it wrong don’t look at mine it’s 4
what is the fraction, 64/388 simplified?
Answer:
the answer is 16/97
which expression is equivalent to StartFraction (2 m n) Superscript 4 Baseline Over 6 m Superscript negative 3 Baseline n Superscript negative 2 Baseline EndFraction? Assume m not-equals 0, n not-equals 0
A.( 8m^7 * n^6)/3
B.(10m^7 * n^6)/3
C.(8m^16 * n^12)/3
D.(m^4 * n^6)/3
Answer: A.
Step-by-step explanation:
What is the volume of a rectangular prism with a length of 2 inches, a width of an inch & is a quarter of an inch in height?
Answer:
= 1/2 inches ^3
Step-by-step explanation:
The volume of a prism
V = l*w*h
= 2 * 1 *1/4
= 1/2 inches ^3
Answer:
[tex] = \frac{1}{2} {in}^{3} [/tex]
Step-by-step explanation:
[tex]v = whl \\ = 1 \times \frac{1}{4} \times 2 \\ = \frac{2}{4} \\ = \frac{1}{2} {in}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What are the equivalent ratios of 5/8
Answer:
60/96
Step-by-step explanation:
Answer:
10:16 or 2.5:4
Step-by-step explanation:
sorry if i am wrong
The measure of an angle is 17°. What is the measure of its complementary angle?
Answer:
73°
Step-by-step explanation:
the measure of two complementary angles add up to 90
so We need to solve this equation to get the measure of its complementary angle :
x + 17 = 90
then
x = 90 - 17
= 73
Find the midpoint of the segment with the following endpoints. (6,8) and (10,4)
Answer:
(8.6)
Step-by-step explanation:
To find the x coordinate of the midpoint, find the average of the x coordinates
(x1+x2)/2 = (6+10)/2 = 16/2 = 8
To find the y coordinate of the midpoint, find the average of the y coordinates
(y1+y2)/2 = (8+4)/2 = 12/2 = 6
Answer:
(8,6)
Well my explanation might be weird...so I won't explain it but I'm pretty sure I got the correct answer:>
Find the volume of a cylinder if the radius is 5 in. and the height is 20 in.
Answer:
V=πr^2h
V = ?
π = 22/7
r = 5
h=20
V = 22/7× 5^2× 20
V = 11000/7
V = 1571.42
The Volume is approximately 1571cm^3
Step-by-step explanation:
what is the length of a diagonal of a cube with a side length of 1 cm?
Answer:
sqrt3 or about 1.7
Step-by-step explanation:
length^2 + Width^2 + Height^2 = Diagonal^2
so 1 + 1 + 1 = 3, which when square rooted equals
sqrt3 or about 1.7
Answer:
b
Step-by-step explanation:
edg
At the end of a snow storm, Caroline saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Caroline's lawn, in inches, can be modeled by the function S(t)=-0.75t+15,S(t)=−0.75t+15, where tt is the time, in hours, after the snow stopped falling. What is the slope of the function and what is its interpretation in the context of the problem?
Answer:
-15
Step-by-step explanation:
5:3. If there are 18 more boys than girls, work out how many people there are in total.
Answer:
72
Step-by-step explanation:
Since there are 18 more boys than girls, we know that in the ratio 5:3, 5 is for boys and 3 is for girls.
Now, we can set up a proportion to first find the number of girls.
Let's name the number of girls x.
The number of boys is x+18.
3/5=x/x+18
Cross multiply.
5x=3(x+18)
Distribute.
5x=3x+54
Subtract 3x from both sides.
2x=54
Divide both sides by 2.
x=27
There are 27 girls.
We know that there are 18 more boys that girls.
27+18=45
There are 45 boys.
Add the number of boys and girls together to find total number of people.
27+45=72
There are 72 people in total.
How can you determine if a point is a solution to a system of linear equations?
Please Help!
Answer:
You can substitute the x value of coordinate (x,y) in the equation. If the outcome = the y value in the coordinate (x,y), then you have determined it to be on the system of linear equations.
Step-by-step explanation:
Point P has a coordinates: ( Px , Py ).
You can choose which value is easy to substitute. Eighter start with the Py or you could start with the Px. It could save you time if you pick the right one for the job.
If you want to verify if any point is valid in any (linear) equation(s), you can:
a) substitute the x value of coordinate (x,y) in the equation, and if the outcome has the same value as y in the coordinate (x,y), then that point is a valid solution of the (linear) equation.
b) substitute the y value of coordinate (x,y) in the equation, and if the outcome has the same value as x in the coordinate (x,y), then that point is a valid solution of the (linear) equation.
Answer:
You can substitute the x value into the equation if the answer for y is the same for the y coordinate you will have your answer.
Step-by-step explanation:
factorise : x^2y^2-16
Answer:
(xy - 4)(xy + 4)
Step-by-step explanation:
x²y² - 16 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x²y² - 16
= (xy)² - 4²
= (xy - 4)(xy + 4)