Answer: Any number smaller than 6
3k - 6 < 12
(Add six to both sides)
= 3k < 18
(Divide by 3 on both sides)
= k < 6
Also a side note that may be helpful in other similar problems: If you are dividing or multiplying by a negative number you have to flip the inequality sign.
Convert the angle to radians: 85
Answer:
17pi/36 (PLATO answer)
Step-by-step explanation:
100+200x300=what is the answer
Answer:
100+200×300 = 60100
Step-by-step explanation:
According to the BODMAS, the order to solve any question is as follows
B - Brackets
O - Order
D - Division
M - Multiplication
A - Addition
S - Subtraction.
in the above expression Addition and multiplication two different operations are functioning. According to BODMAS the multiplication expression will be solved first, that outputs.
200×300 = 60000
after calculating correctly we have to operate second function i.e. addition and add 100 to the above result,
60000+100 = 60100
[tex]{Answer = 60100}[/tex]
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Please help! Consider the given circle with the shaded sector xy and central angle 225. The circumference is 30 units
[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=30\pi \end{cases}\implies 30\pi =2\pi r\implies \cfrac{30\pi }{2\pi }=r\implies \boxed{15=r} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=15\\ \theta =225 \end{cases}\implies \widehat{XY}=\cfrac{(225)\pi (15)}{180}\implies \boxed{\widehat{XY}\approx 58.90} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (15)^2\implies A=225\pi \implies \boxed{A\approx 706.86}[/tex]
How much would $400 be worth after 6 years if it was invested at 2% interest compounded annually
450.46497
Step-by-step explanation:Based on the given condition:[tex]We\ know\ that:[/tex]
[tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex]
________________________________________________
Formulate and substitute:[tex]Substitute[/tex] [tex]\left\{\begin{matrix}P=400\\r=2\%\\n=1\\t=6\\\end{matrix}\right.[/tex][tex]into\ formula[/tex]
[tex]F=P*(1+r/n)^n^t\\ F=400\bullet(1+2\bullet\frac{1}{100})^6[/tex]
_________________________________________________
Evaluate[tex]Evaluate\ the\ equation/expression:\\ 450.46497[/tex]
I hope this helps you
:)
pls help me in this math problem
Answer:
cUse the following equation
Step-by-step explanation:
Because of the way these angles are positioned, they must be equal to 180 together
(2x + 5) + (0.5x + 150) = 180
2.5x + 155 = 180
- 155 - 155
2.5x = 25
2.5x/2.5 = 25/2.5
x = 10
Put x into the original equations and solve
The data set below represents the different costs of a refrigerator at a local home improvement store.
$777, $498, $619, $379, $895, $1,256, $1,052
a. What is the median of the first half of the data? (first quartile)
The price of the refrigerators that is the median for the first half of the data is $498.
What is the median of the first half of the data?Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
The prices arranged in ascending order is: $379, $498, $619, $777, $895, $1052, $1256
The first half of the prices are $379, $498, $619,
Median = $498
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what is the effect on the graph of y=-2x+7 if the slope changes to 2
Which statements are true about the figure? Check all that apply.
A net has 3 rectangular faces and 2 triangular faces.
The figure is a triangular prism.
The figure is a rectangular pyramid.
The figure has 6 vertices.
The figure has 6 faces.
The figure has 9 edges.
Answer:
Step-by-step explanation:
The figure is a triangular prism.
The figure has 6 vertices.
The figure had 9 edges.
Vertex: The meeting point of two edges is called vertex
Edge: The meeting point of two faces is called an edge.
estimate the product 8.1 times 4.2
Answer:
Approximately 32
Step-by-step explanation:
8.1 is closest to 8
4.2 is closest to 4
Thus, you can estimate the product to be 8*4=32
The actual product is 8.1*4.2=34.02, so it's about 2 greater than the estimated product
The collection of all equally likely outcomes is known as the
Answer:
The Sample space
Step-by-step explanation:
The collection of all equally likely outcomes is known as the- the sample space.
Jeremiah answered 20 out of 25 questions correctly on the math test. What percent of the questions did Jeremiah answer correctly?
Answer, explain and setup problem.
A scale model of a ramp is a right triangular prism as given in this figure. In the actual ramp, the triangular base has a height of 0.5 yards.
What is the surface area of the actual ramp, including the underside?
Enter your answer as a decimal in the box.
yd²
Right triangular prism. Each base is a triangle whose legs are 13 in, 13 in, and 24 in. The height of the triangles is 5 in. The prism is oriented so that the side labeled 24 in is on the bottom. The distance between the bases is labeled 12 in.
Answer:
The answer is 7.2
The surface area of the actual ramp, including the underside is 16.8 ft²
H1 = 1.2 feet (height of the actual ramp)
and, H2 = 6 cm (height of the model)
The scale factor (k) is:
k = 1.2 feet / 6 cm
k = 0.2 ft/cm
The actual measurements would be:
16cm = 16 cm x 0.2 ft/cm = 3.2 ft
and, 9 cm = 9 cm x 0.2 ft/cm = 1.8 ft,
and, 10 cm = 10 cm x 0.2 ft/cm = 2 ft,
So, the surface area is
Area = 2(0.5 x 3.2 ft x 1.2 ft) + 2(2 ft x 1.8 ft) + (1.8 ft x 3.2 ft)
Area = 16.8 ft²
Hence, the surface area of the actual ramp is 16.8 ft²
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A bride wants to serve her 175 guests cheesecake instead of wedding cake. She purchases 14 cheesecakes that serve 12 people each. If each guest is served only one piece of cheesecake, how many guests will not get a piece? guests
Answer:
7 guest will not be served.
Step-by-step explanation:
FASTEST ANSWER WITH STESP FOR PROOF GETS BRAINLIEST
Answer:
314.16 m (if pi = 3.14) || 314π m (if (you may want to check the math yourself, just in case!)
Step-by-step explanation:
Step 1) Formula of a cone.
•volume = (1/3) * π * r² * h. [Or, if you prefer, volume = π * r² * h/3 ]
Step 2) Apply numbers.
•r = 1/2 * base diameter || r = 5 m
•height(h)= 12 m
Step 3) Apply formula.
V= (1/3) * π * 5² * 12
[Step 4 depends on how you learn, and this also dictates the answer, please read carefully.]
Step 4a) IF DEFINITE EXACT ANSWER (π = π), then V= 314.16
Step 4b) IF π = 3.14, then V= 314π
I was taught in a strange way where two different methods can be applied, so the answer depends on which one you've been taught!
(apologies if a mistake has been made)
Please Help.........
What is the equation of the given line in the point-slope form?
A.
= - + 1
B.
+ = 1
C.
+ + 1 = 0
D.
4 = 3 + 1
E.
– 4 = 1( – 3)
[tex]============================[/tex]
First, let's use the Slope Formula to find the slope:
[tex]\pmb{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\pmb{\displaystyle\frac{4-1}{3-0} }[/tex]
[tex]\pmb{\displaystyle\frac{3}{3}}[/tex]
Which simplifies to
[tex]\pmb{1}[/tex]
So the slope is 1.
Now, here's a point that the line passes through:
(0, 1)
Write the equation in point-slope form:
[tex]\pmb{y-y1=m(x-x1)}[/tex]
y-1=1(x-0)
================================================
note:-Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
In your own words describe how to find the perimeter of a shape with fractional sides used the rectangle below to example
Answer:
U add both side of the shape to get the fractional
Step-by-step explanation:
I just did this not to long ago
The longest worm is blank times as long as the shortest worm
Find a function for the graph below.
a. f(t) = 3 cos 41
b. ft) = 8 sin 3t
fit) = 3 sin 41
d. (t) = 3 cos 6
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The given function has Amplitude of 3, and by seeing it we can conclude that it's a sine function.
Therefore, we can conclude that the required Answer is ~
[tex]\qquad \sf \dashrightarrow \:c. \: f(t) = 3 \sin(4t) [/tex]
The sinusoidal function is represented as y = 3 sin 4t. Then the correct option is C.
What is a sinusoidal Function?It is a function that repeats itself in a particular time interval.
The sine function is given as
y = A sin (wt + Ф)
where A is the amplitude, w frequency, and Ф is the phase difference.
From the graph, the value of the amplitude will be 3, the frequency will be 4, and the phase difference will be 0. Then the equation will be
y = 3 sin4t
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how do I not know 4th grade math I really am 0iq
Answer:
C) 8 sheets of red and 13 sheets of yellow felt
Step-by-step explanation:
Red felt
Red felt needed for 1 toy = 3/8 sheet
⇒ Red felt needed for 20 toys = 20 × 3/8 sheets
[tex]\sf \implies 20 \times \dfrac38=\dfrac{20}{1}\times \dfrac38=\dfrac{20 \times 3}{1 \times 8}=\dfrac{60}{8}=7\frac12[/tex]
Therefore, 8 complete sheets of red felt are needed.
Yellow felt
Yellow felt needed for 1 toy = 5/8 sheet
⇒ Yellow felt needed for 20 toys = 20 × 5/8 sheets
[tex]\sf \implies 20 \times \dfrac58=\dfrac{20}{1}\times \dfrac58=\dfrac{20 \times 5}{1 \times 8}=\dfrac{100}{8}=12\frac12[/tex]
Therefore, 13 complete sheets of yellow felt are needed.
How can I find the value of X?
Answer:
D
Step-by-step explanation:
Remark
The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.
The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.
So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.
Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.
Proportion
AB / AC = AE/AD
Givens
AB = 10
AC = 18
AE = 8
AD = x + 8
Solution
Substitute the Givens into the Proportion.
10/18 = 8/(x + 8) Cross multiply
10(x + 8) = 8 * 18 Simplify both sides
10x + 80 = 144 Subtract 80 from both sides
10x + 80 - 80 = 144 - 80
10x = 64 Divide by 10
10x/10 = 64/10
Answer: x = 6.4
find the product 4 (-9 1/8)
Answer:
4/8=2
-91/2=-45.5
by eliminate 4 by dividing by 8
Y varies inversely as x: y=13, when x=3
Answer:
I'm not to sure of this answer
6/5 + ? = 27/10? Help me pls
[tex]\cfrac{6}{5}~~ + ~~\boxed{?}~~ = ~~\cfrac{27}{10}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10\left( \cfrac{6}{5}~~ + ~~\boxed{?} \right)~~ = ~~10\left( \cfrac{27}{10} \right)}\implies 12+10\boxed{?}=27 \\\\\\ 10\boxed{?}=15\implies \boxed{?}=\cfrac{15}{10}\implies \boxed{?}=\cfrac{3}{2}[/tex]
A company interviewed 21 applicants for a recent opening. Of these applicants, 7 wore blue and 6 wore white, while 5 applicants wore both blue and white. What is the number of applicants who wore neither blue nor white?
A.1
B.6
C.12
D.13
Answer: D
Step-by-step explanation:
21=7+6+neither-5
7+6=13-5=8
21-8=13
find the second derivative of 2x^3-3y^2=8
Answer:
[tex]\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}[/tex]
Step-by-step explanation:
Find the first implicit derivative using implicit differentiation
[tex]2x^3-3y^2=8\\\\6x^2-6y\frac{dy}{dx}=0\\ \\-6y\frac{dy}{dx}=-6x^2\\ \\\frac{dy}{dx}=\frac{x^2}{y}[/tex]
Use the substitution of dy/dx to find the second derivative (d²y/dx²)
[tex]\frac{d^2y}{dx^2}=\frac{(y)(2x)-(x^2)(\frac{dy}{dx})}{y^2}\\ \\\frac{d^2y}{dx^2}=\frac{2xy-(x^2)(\frac{x^2}{y})}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{2xy-\frac{x^4}{y}}{y^2}\\\\\frac{d^2y}{dx^2}=\frac{x(2y-x^3)}{y^3}[/tex]
Use the digital text feature to complete the explanation: The 24th Amendment states that citizens of the United States will not be stopped from voting if
they are sick or elderly
Othey are guilty of a crime
Othey are in a political office
Othey do not pay their taxes
D or A not sure
The Twenty-fourth Amendment (Amendment XXIV) of the United States Constitution prohibits both Congress and the states from conditioning the right to vote in federal elections on payment of a poll tax or other types of tax.
Answer:
(D) they do not pay their taxes
Step-by-step explanation:
I got it correct on an exam I did.
find the 39th term for the aritmethic sequence, 10,15,20
The 39th term of the sequence is 200.
What is Arithmetic Sequence?Arithmetic sequence or arithmetic progression is the set of numbers for which the difference of any two consecutive numbers in that set will be a constant.
The constant term which is the difference of the two consecutive numbers is called the common difference and is usually denoted by 'd'.
Arithmetic sequence is usually represented as
a, a + d, a + 2d, ........, a + (n - 1)d
The nth term of an arithmetic sequence, aₙ is given by the formula,
aₙ = a + (n - 1) d
where, a is the first term and d is the common difference.
The given sequence is 10, 15, 20, ......
a = 10
d = 15 - 10 = 5
Here, we have to find the 39th term of the sequence.
a₃₉ = 10 + (39 - 1) 5
= 10 + (38 × 5)
= 10 + 190
= 200
Hence, the 39th term of the progression 10, 15, 20,..... is 200.
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Help help help help ASAP apa
Answer:
A=49.12
Step-by-step explanation:
The area of the figure=
Area of the triangle + area of the semicircle.
Area of the triangle=
½×the base × the height=
½×6×8=
24ft.
Area of the semicircle=
½πr²=½×3.14×4²=
25.12ft.
Area of the figure=
24+25.12=
49.12ft
→ 12 cm.
3,5cm.
16cm.
>3.5cm.
Find the total
Volume.
Can someone please help me
Answer:
Step-by-step explanation:
CONE:
height of cone = h = 12 cm
r =3.5 cm
[tex]Volume \ of \ cone =\dfrac{1}{3}\pi r^{2}h[/tex]
[tex]=\dfrac{1}{3}*\dfrac{22}{7}*3.5*3.5*12\\\\\\=22*0.5*3.5*4\\\\= 154 \ cm^{3}[/tex]
Cylinder:
h = 16 cm
r = 3.5 cm
[tex]Volume \ of \ cylinder = \pi r^{2}h\\[/tex]
[tex]= \dfrac{22}{7}*3.5*3.5*16\\\\\\= 22*0.5*3.5*16\\\\= 616 \ cm^{3}[/tex]
Total volume = 154 + 616
= 770 cm³
The selling price for a classic speedboat is $20,000, which is $2000 less than two times its original price. What was the original price of the speedboat?
Answer:
$11,000
Step-by-step explanation:
let x = original price.
2x-2000=20000
2x=22000
x=11000