Answer:
b
Step-by-step explanation:
b
to rotate ABC 90° clockwise about the origin.
An account with an initial deposit of $6,500 earns 7.25% annual interest, compounded
continuously. How much will the account be worth after 20 years
Answer:
$27,710.24
Step-by-step explanation:
You want to know the value of $6500 earning 7.25% interest compounded continuously for 20 years.
Continuous compoundingThe formula for the amount in an account earning interest at rate r compounded continuously is ...
A = P·e^(rt)
where P is the principal invested at rate r for t years.
Your amount is ...
A = $6500·e^(0.0725·20) = $6500·e^1.45 ≈ $27,710.24
The account will be worth about $27,710.24 after 20 years.
The first two numbers both are square and cube numbers are 1 and 64. Find the third number.
Answer:
729
Step-by-step explanation:
If a number is both square and cube, it can be represented to an integer to the power of 6.
This means the next number is 3⁶ = 729.
what is the value of x in the equation?
20x- 40 = 20
Answer:
x=3
Step-by-step explanation:
20x-40=20
20x=20+40
20x=60
x=3
Hope this helps plz hit the crown ;D
Write the ratio 9:4.5 in the form n:1
Answer:
2:1
Step-by-step explanation:
9 is double 4.5
The ratio in the form of n: 1 will be 2: 1.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The ratio is given below.
⇒ 9: 4.5
Simplify the ratio in the form of n: 1, then we have
⇒ 9: 4.5
⇒ 2: 1
The ratio in the form of n: 1 will be 2: 1.
More about the ratio and the proportion link is given below.
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Which is the equation of the line that contains the points (-1, -5) and (2,1)
Answer:
y=2x-3
Step-by-step explanation:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
Answer:
y=2x-3
Step-by-step explanation:
write the equation of the line AB with A (3,4) B(6,8)
Help pleassse :)
Answer:
y = (4/3)x.
or in standard form it is
-4x + 3y = 0.
Step-by-step explanation:
The slope m = (8-4) / (6-3)
= 4/3
Using the point-slope form of a line:
y - y1 = m(x - x1)
We use m = 4/3, x1 = 3 and y1 = 4:
y - 4 = 4/3(x - 3)
Multiply through by 3:
3y - 12 = 4(x - 3)
3y = 4x - 12 + 12
3y = 4x
y = (4/3) x
or in standard form it is
-4x + 3y = 0.
A packaging factory fills 450 LB of dry dog food into bags that hold 40 LB each how many Full bags will the factory pack
Help me pls
Which statement is true about the end behavior of the
graphed function?
O As the x-values go to positive infinity, the function's
O As the x-values go to zero, the function's values go
O As the x-values go to negative infinity, the function's
O As the x-values go to positive infinity, the function's
values go to negative infinity.
to positive infinity.
values are equal to zero
values go to positive infinity.
The answer is the last choice.
When x approaches positive infinity, the value of f(x) will also approach positive infinity too.
Notice how we substitute x in the equation with any positive numbers and we will get high f(x) value as the sign of positive infinity approach when x approaches positive infinity.
average rate of change of the functions? (easy)
Answer:
1. 4:105
2. 12.5:1.7
3. 12:65
Answer:
1. 4:105
2. 12.5:1.7
3. 12:65
the person on top said the answer
A liquid is poured into a container in the shape of a right circular cone with a radius of 4m and height of 16m. What is the volume as a function of height?
Answer:
Approximately 268
Step-by-step explanation:
The formula for the volume of circular cone is:
v= 1/3[tex]\pi r^{2}[/tex]h Plug in what we know and solve.
v = 1/3[tex]\pi[/tex][tex](4)^{2}[/tex]16
v = 1/3[tex]\pi[/tex](16)(16)
v = 268.0825731063 Round to the nearest?
Please help! Thank you
Answer:
C. 3,632 boxes
Step-by-step explanation:
To solve this, we multiply 4/13 by 11,804 which gives 47,216/13, then when divided gives us 3,632.
An ice cream waffle cone has a diameter of 8.5cm at the opening, a perpendicular height of 17.8, slant height of 19.73. What is the surface area ofvthe cone to the nearest cm
The surface area of the ice cream waffle cone is found to be 263 square cm.
How to define a cone?A cone is a shape formed by connecting a common point, known as the vertex, to all of the points of a circular base with a set of line segments (that does not contain the vertex).
The height of the cone is the distance from the vertex to the base.A birthday cap with in shape of a cone is one of the simplest real-life examples.Now, as per the given question;
The ice cream waffle is in the shape of the cone.
The diameter if the cone is given as 8.5 cm.
Then, the radius 'r' of the cone will be 8.5/2 = 4.25 cm.
The slat height 'l' if the cone is 19.73 cm.
The formula for finding the surface area is;
SA = πrl
Substituting the values;
SA = π×4.25×19.73
SA = 263.43
SA = 236 cm.
Therefore, the surface area of the ice cream waffle cone is estimated as 236 cm².
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Given the polynomial f(x), if (x+5) is a factor, what else must be true?
Answer:
-5 is a root
Step-by-step explanation:
It would help to see any possible answers for this if this is a multiple choice question, but if a factor of f(x) is (x+5), then -5 must be a root of a function.
To find roots, set factor equal to zero and solve:
x + 5 = 0
x = -5
(x5 + y5) ÷ (x + y) please answer ASAP
Answer:
[tex]\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(x^5+y^5\right)\div \left(x+y\right)[/tex]
[tex]\mathrm{Apply\:factoring\:rule:\:}x^n+y^n=\left(x+y\right)\left(x^{n-1}-x^{n-2}y+\:\dots \:-\:xy^{n-2}\:+\:y^{n-1}\right)\:\quad \quad \mathrm{n\:is\:odd}[/tex]
[tex]x^5+y^5=\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)[/tex]
[tex]=\frac{\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)}{x+y}[/tex]
Cancel the common factor: x+y
[tex]=x^4-x^3y+x^2y^2-xy^3+y^4[/tex]
Thus,
[tex]\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4[/tex]
PLS HELP ANSWER THIS QUESTION FAST
WILL MARK BRAINLIEST
Answer:
5. ○ D. 600 in.³
6. ○ C. 3900 in.³
Step-by-step explanation:
5.
Use the following formula to calculate the volume:
[tex]\boxed{\mathrm{Volume = length \times width \times height}}[/tex],
where:
• length = 24 in.
• width = [tex]12\frac{1}{2}[/tex] in.
• height = 2 in.
Substituting these values into the formula:
Volume = [tex]24 \times 12\frac{1}{2} \times 2[/tex]
= 600 in³
∴ D. is the correct option.
6.
Here, we can see that the height of the water that Yolanda will put in the tank is 5 inches less than 18 in. because the sand takes up 2 in. and the gap at the top takes up 3 in.
• height of water = 18 - 3 - 2
= 18 - 5
= 13 in.
• length = 24 in.
• width = [tex]12\frac{1}{2}[/tex] in.
∴ Volume = [tex]24 \times 12\frac{1}{2} \times 13[/tex]
= 3900 in³
∴ The correct option is C.
i beg u PLEASE answer these both correctly.. i will give u bonus points and brainliest pls
Answer:
7. x = 105
8. x = 12
Step-by-step explanation:
7. subtract 52 and 53 from 180. equals 75. subtract 75 from 180. equals 105.
8. set the two equations equal to each other and solve. equals 12.
WILL GIVE BRAINLEST PLZ HELP MEEE I HATE MATH
,no.4, is the number line to shows the value of (X)
a take away 19
answer correctly for brainliest
Answer:
A - 19
Step-by-step explanation:
correctly
find the length of side x in simplest radical denominator
Answer:
324352
Step-by-step explanation:
Average movie prices in the United States are, in general, lower than in other countries. It would cost $79.31 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.24. How much does an average movie ticket cost in each of these countries?
The average cost of tickets in Japan and Switzerland are $17.49 and $13.42 respectively.
How to find the average movie ticket in each city?It would cost $79.31 to buy three tickets in Japan plus two tickets in Switzerland.
Three tickets in Switzerland plus two tickets in Japan would cost $75.24.
Therefore,
let
x = cost of Japan tickets
y = cost of Switzerland tickets
Hence,
3x + 2y = 79.31
2x + 3y = 75.24
3x + 2y = 79.31
3x + 4.5y = 112.86
2.5y = 33.55
y = 33.55 / 2.5
y = $13.42
3x + 2(13.42) = 79.31
3x = 79.31 - 26.84
3x = 52.47
x = 52.47 / 3
x = $17.49
Therefore, the average cost of tickets in Japan and Switzerland are $17.49 and $13.42 respectively.
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If car A travels a distance of 200 miles in 5 hours and car B travels a distance of 250 miles
in the same time, which car is moving faster?
car B is moving faster in the same time
How to find the nearest number before and after any real number.
Answer:
add and subtract 1 and 1
Step-by-step explanation:
u have a 5. add one and subtract one is 6 and 4.
Hope this helps plz hit the crown :D
What are the coordinates of the point 4/5
of the way from A to B?
Answer:
D
Step-by-step explanation:
The coordinates of the point at a ratio of 4/5 for the line AB will be (4,4). The correct option is D.
What is coordinate geometry?
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that the line AB on the coordinate system is having a ratio of 4/5.
From the given data it is observed that the line AB is distributed in the fraction of 4:5. The point on this fraction has the coordinates ( 4,4).
Therefore, the coordinates of the point at a ratio of 4/5 for the line AB will be (4,4). The correct option is D.
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Alex’s printer can print 8 photos in 12 minutes.
Khalil’s printer can print 24 photos in 1 hour.
Select all the processes you could use to help determine how much longer it will take Khalil’s printer to print 120 photos than Alex’s.
Answer:
What are the choices?
Step-by-step explanation:
PLEASE HELP ASAP
Let tan(x)=2/5
What is the value of tan(2pi-x)?
5/2
-2/5
2/5
-5/2
Answer:
-2/5Step-by-step explanation:
Giventan (x)=2/5To findtan (2pi - x)Solutiontan (2pi - x) = - tan (x) =- 2/5Correct choice is B
Answer:
Solution given:
tan (2π-x)
=tan (360-x)
=-tanx
we have
tan x=²/5
so
-tan x=-2/5.
Write each polynomial equation in standard form then determine
its degree:
x(x2 - 4x + 3) = 0
Answer:
x(x2 - 4x + 3) = 0
Step-by-step explanation:
Standard form:
x3 − 4x2 + 3x = 0
Factorization:
x(x − 1)(x − 3) = 0
x1 = 0
x2 = 1
x3 = 3
i hope helps you
please help asap im so confused detailed answer please
Answer:
326 ft²
Step-by-step explanation:
You want to know the area of the library, which is a composite shape.
AreaThe area of a composite shape is found by dividing it into shapes whose areas are easy to find. The area of the shape will be a combination of the areas of the simpler shapes.
The formula for the area of a rectangle is ...
A = LW
Extending the middle horizontal line will divide the figure into two rectangles whose dimensions are given on the figure.
The upper rectangle is 30 ft wide and 5 ft high, so its area is ...
A = (30 ft)(5 ft) = 150 ft²
The lower rectangle is 22 ft wide and 8 ft high, so its area is ...
A = (22 ft)(8 ft) = 176 ft²
The area of the library will be the sum of these two rectangular areas:
library area = 150 ft² +176 ft² = 326 ft²
The library area is 326 square feet.
__
Alternate solution
The area could be considered to be a rectangle that is 30 ft wide by 5+8=13 ft high, with a rectangle 30-22=8 ft wide and 8 ft high removed from the lower left corner. The difference in area between the overall rectangle and the removed rectangle is ...
(30 ft)(13 ft) -(8 ft)(8 ft) = 390 ft² -64 ft² = 326 ft²
The method shown above does not require calculating missing dimensions, so is more straightforward.
Which statement is not used to prove that ΔFGH is similar to ΔFIJ? triangles FGH and FIJ in which point I is between points F and G on segment FG and point J is between points F and H on segment FH Angle F is congruent to itself, due to the reflexive property. Angles FJI and FHG are congruent, due to the corresponding angles postulate. Points F, J, and H are collinear. Segments JI and HG are parallel.
Answer:
Points F, J, and H are collinear
Step-by-step explanation:
just took exam
The statement F, J, and H are collinear is not used to prove that ΔFGH is similar to ΔFIJ.
We have to find out which statement is wrong regarding ΔFGH is similar to ΔFIJ.
Here the statement points F, J, H are collinear are not used to prove the similarity of both triangle because if these three points are collinear than there is no triangle possible and when there is no triangle than how we prove similar to them.
So when F,J and H are collinear than we can't prove similar to both the triangles.
But in all the other points we can prove the similarity of both the triangles.
Hence the statement F, J, and H are collinear is not used to prove that ΔFGH is similar to ΔFIJ.
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Susan is making sandwiches for a picnic. She needs 1.2 pounds of ham, 1.5 pounds of bologna, and 2 pounds of cheese. How much will she spend in all? Solve this problem any way you choose. Use models to help.
Answer:
49.3
Step-by-step explanation:
3.40 x 2.90 x 5.00 = 49.3 :)))