Answer:
Equation -8 ≤ 3n+4 ≤ 10
Solution -4 ≤ n ≤ 2
Step-by-step explanation:
sum of 3 times a number and 4
3n+4
is no more than 10
3n+4 ≤ 10
and no less than -8
-8 ≤ 3n+4 ≤ 10
To solve
Subtract 4 from all sides
-8-4 ≤ 3n+4-4 ≤ 10-4
-12 ≤ 3n ≤ 6
Divide all sides by 3
-12/3 ≤ 3n/3 ≤ 6/3
-4 ≤ n ≤ 2
A rectangle has a height of w^2 +3w+9 and a width of w^2+2 what’s the area
Answer:
Two solutions were found :
w = 1
w = -4
Step-by-step explanation:
w =(-3+√25)/2=(-3+5)/2= 1.000
or:
w =(-3-√25)/2=(-3-5)/2= -4.000
Answer: w^4+3w^3+11w^2+6w+18
Step-by-step explanation:
(1, 5)(2, 8)(3, 11)(4, 14)(5, 17)(6, 20)(7, 23) A) y = 3x - 2 B) y = 3x + 2 C) y = -3x + 2 D) y = 1 3 x - 2 3
Answer:
y = 3x+2
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (23-20)/(7-6)
=3/1
We know the slope is 3
Using the slope intercept form of a line
y= mx+b where is the slope and b is the y intercept
y = 3x+b
Using a point (1,5)
5 = 3(1)+b
Subtract 3 from each side
5-3= 3-3+b
2 = b
y = 3x+2
Answer:
B) y = 3x + 2
Step-by-step explanation:
Slope: (8 - 5)/(2 - 1)
= 3/1 = 3
y = 3x + c
5 = 3(1) + c
c = 5 - 3
c = 2
y = 3x + 2
What are the answers to these and how do I do it
Answer:
1. D
2.B
3.A
4.C
Step-by-step explanation:
You find where the line meets right on the “corner of the boxes” then count to the side then down or up to find the slope
Simplify each expression.
[tex] \frac{2x - 16}{8x ^{3} + 56x {}^{2} } \times \frac{x + 7}{x ^{2} - 7x - 8 } [/tex]
Answer:1
Step-by-step explanation: yea
Answer:
[tex]\frac{1}{4x^2\left(x+1\right)}[/tex]
Step-by-step explanation:
[tex]\frac{2x-16}{8x^3+56x^2}\cdot \frac{x+7}{x^2-7x-8}[/tex]
You first factor things out.
[tex]\frac{x-8}{4x^2\left(x+7\right)}\cdot \frac{x+7}{x^2-7x-8}[/tex]
You then multiply. (Cancel common factor, X+7)
[tex]\frac{x-8}{4x^2\left(x^2-7x-8\right)}[/tex]
You factor again.
[tex]\frac{x-8}{4x^2\left(x+1\right)\left(x-8\right)}[/tex]
Then cancel out common fact x-8.
So therefore, you get the final answer,
[tex]\frac{1}{4x^2\left(x+1\right)}[/tex]
Write 0.2 as a fraction in simplest form
Answer:
1/5
Step-by-step explanation:
2/10 simplified = 1/5
Answer:
Step-by-step explanation:
What is the value for b????
Answer:
the value is 60
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
All interior angles in a triangle add up to 180. So if you have two already, just subtract both angles from 180 to get the last angle. The equation is:
65 + 55 + b = 180
120 + b = 180
-120 -120
___________
b = 60
A new shopping mall is gaining in popularity. Every day since it opened, the number of shoppers is 20% more than the number of shoppers the day before. The total number of shoppers over the first 4 days is 671. How many shoppers were at the mall on the first day?
Answer:
The number of buyers on the first day was approximately 324.
Step-by-step explanation:
In this case we have a initial number of shoppers "C" that we want to know and this grows at a steady rate of 20% per day, like a compound interest, we also know the total number of shoppers after 4 days, so we have the final amount of shoppers. We can use the formula for compound interest in order to calculate the number of shoppers in the first day as shown bellow:
M = C*(1 +i)^(t)
Where M is the total amount of shoppers, i is the growth rate and t is the time elapsed.
671 = C*(1 + 0.2)^(4)
671 = C*(1.2)^4
671 = C*2.0736
C = 671/2.0736 = 323.5918
Since there can't be a 0.59 buyer, we will round the number to 324.
Answer:
125 shoppers
Step-by-step explanation:
answer for kahn
What is the volume of the sphere in terms of π? V = π in.3
Answer:
the person above me is correct!
the answer is 288:)
Step-by-step explanation:
The volume of the sphere in terms of π is,
⇒ 288π inch³
What is Multiplication?Multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Radius of sphere = 6 inch
Now, We know that;
Volume of sphere = 4/3πr³
Hence, We can formulate;
⇒ V = 4/3 × π × 6³
⇒ V = 288π inch³
Thus, The volume of the sphere in terms of π is,
⇒ 288π inch³
Learn more about the multiplication visit:
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Complete question is shown in attached image.
Change £x to pence
HELP!!!!!
Answer:£1 = 100 pence
Step-by-step explanation:
£1 = 100 pence because you divide the pence by 100 to get the amount of pounds you have.
Which job is NOT a typical work-study job?
A.working in your own business
B.working at campus library or bookstore
C.off-campus job related to your course study
D.serving in the dining hall
Answer:
I feel it is D as you are always on your feet and cant find time to study. That's my guess.
Step-by-step explanation:
Answer:
D. because a waitress doesn't necessarily have to study to work.
Volume of a cone: V = 3 Bh
10 ft
-
-
-
-
-
Answer the questions about the cone.
V = 3 Bh
What is the radius of the cone?
ft
What is the area of the base of the cone?
wf
What is the volume of the cone?
ft?
Answer:
What is the radius of the cone?
5ft
What is the area of the base of the cone?
25ft
What is the volume of the cone?
75ft
Step-by-step explanation:
1) Radius of the cone = 5ft
2) Area of the base of the cone = 78.5 square feet
3) Volume of the cone = 235.5 cubic feet
What is a cone?A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top. The pointed end of the cone is called the vertex, whereas the flat surface is called the base.
According to the given problem,
Diameter of the cone = 10 feet
Radius of the cone = [tex]\frac{diameter}{2}[/tex]
= 5 feet
Area of the base of the cone = [tex]\pi[/tex]r²
= [tex]\pi[/tex] × (5)²
= 78.5 square feet
Volume of the cube = [tex]\pi[/tex]r²[tex](\frac{height}{3})[/tex]
= 235.5 cubic feet
Hence, we can conclude that the cone shown in figure has a radius of 5 feet , base area of 78.5 feet and a volume of 235.5 cubic feet.
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The answer an example how to do it
Answer:
≈ 1347 mi²
Step-by-step explanation:
The shaded area is the difference between the outer area and the inner area
shaded area = outer - inner
= πr₁² - πr₂²
where r₁ = 14 + 11 = 25 and r₂ = 14, thus
A = π × 25² - π × 14² = 625π - 196π = 429π = 429 × 3.14 ≈ 1347 mi²
Answer:
Step-by-step explanation:
Area of the shaded region = Area of the Outer circle - Area of the inner circle
Outer circle:
r = 14+11 = 25 mi
Area = πr² = π*25²
Inner Circle:
r = 14 mi
Area = πr² = π*14²
Area of shaded region = π*25² - π*14²= π(25² - 14²)
= 3.14*(625 - 196)
=3.14*429
= 1347.06 mi²
Find the 4th term in the sequence with the following definition: See picture for sequence.
Please need help badly!!
Answer:
a₄ = - 37
Step-by-step explanation:
To find the 4 th term using the recursive formula and a₁ = - 2
a₂ = 2a₁ - 3 = 2(- 2) - 3 = - 4 - 3 = - 7
a₃ = 2a₂ - 3 = 2(- 7) - 3 = - 14 - 3 = - 17
a₄ = 2a₃ - 3 = 2(- 17) - 3 = - 34 - 3 = - 37
HELP NEEDED ASAP SOMEBODY HELP PLS
Answer: B) 10cm Just count the squares but 2 halves = 1 full
What is the value of (Negative three-fourths) Superscript negative 4?
Negative StartFraction 256 Over 81 EndFraction
Negative StartFraction 81 Over 256 EndFraction
StartFraction 81 Over 256 EndFraction
StartFraction 256 Over 81 EndFraction
Answer:
The answer is D) 256/81
Step-by-step explanation:
So, 256 is numerator (on top) and 81 is the denominator (on bottom).
I did the thing with on the top and on the bottom bc I always end up looking up what numerator and denominator means. :)
Answer:
its (D)
Step-by-step explanation:
:)
The number of users on a website has grown exponentially since its launch. After 2 months, there were 90 users. After 4 months, there were 810 users. Find the exponential function that models the number of users x months after the website was launched. Write your answer in the form f(x)=a(b)x.
Answer:
10(3)^x
Step-by-step explanation:
The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:
90=ab^2 and 810=ab^4
Solve each equation for a:
a=90/b^2 and a=810/b^4
Since a=a, set the other sides of the equations equal and solve for b.
90/b2=810/b4
Cross multiply, then divide and simplify as follows:
90b^4=810b^2
b^4/b^2=810/90
b^2=90
b^3
Now, use the value of b and the point (2,90) to find the value of a.
90=a(3^2)
a=10
So, substitute answers in original equation for a final answer of f(x)=10(3)^x.
The quantities xxx and yyy are proportional.
xxx yyy
222 141414
666 424242
111111 777777
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
r =r
Answer:
Therefore the constant of proportional is r=7.
Step-by-step explanation:
The quantities x and y are proportional.
x y
i) 2 14
ii) 6 42
iii) 11 77
Since x and y are proportional.
y= rx
(i)
Now plug y= 14 and x=2
14=r.2
[tex]\Rightarrow r=\frac{14}{2}[/tex]
[tex]\Rightarrow r=7[/tex]
(ii)
Now plug y= 42 and x=6
42=r.6
[tex]\Rightarrow r=\frac{42}{6}[/tex]
[tex]\Rightarrow r=7[/tex]
(iii)
Now plug y=11 and x=77
77=r.11
[tex]\Rightarrow r=\frac{77}{11}[/tex]
[tex]\Rightarrow r=7[/tex]
Therefore the constant of proportional is r=7.
What are the period and amplitude of the function?
Answer:
Period is 4, Amplitude is 3.5
Step-by-step explanation:
The Period is how far in the x direction for a function to repeat. This function repeats at (1,5), (5,5), etc. 5-1 = 4 difference between points which is the period.
The Amplitude is defined as the vertical distance from the center. The maximum vertical distance is 5 and the minimum is -2. 5-(-2) = 7. 7/2 = 3.5. 3.5 is the average which is the amp.
The solution is :Period is 4, Amplitude is 3.5, of the function.
What is wavelength?The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
here, we have,
The Period is how far in the x direction for a function to repeat.
This function repeats at (1,5), (5,5), etc.
5-1 = 4 difference between points which is the period.
we have,
The Amplitude is defined as the vertical distance from the center.
The maximum vertical distance is 5 and the minimum is -2.
5-(-2) = 7.
7/2 = 3.5.
3.5 is the average which is the amp.
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NEED HELP ASAP!
Use the net as an aid to compute the surface area of the triangular prism.
A) 108 cm2
B) 120 cm2
Eliminate
C) 132 cm2
D) 170 cm2
Answer:
Hi There the correct answer to this is C) 132 cm2
Step-by-step explanation:
All you really need to do is 1 base = 8 × 6 = 48
2 sides = 2(5 × 6) = 60
2 triangles = 2(8 × 32) = 24
SA = 48 + 60 + 24 = 132 cm2
So Hope That Helps!
Answer:
132 cm^2
Step-by-step explanation:
witch table has the constant of proportionality between y and x of 8/5
table 1 table 2 table 3
4 32/5 2 14/5 5 20/3
10 16 6 42/5 9 12
11 88/5 20 28 12 16
Answer:
Table 1
Step-by-step explanation:
Constant of proportionality is simply the ratio of y to x. In each of the given tables, the second column is y and the first is x.
Table 1:
4 32/5
10 16
11 88/5
Let's find the constant of proportionality for each row:
R1: (32/5) / 4 = 8/5
R2: 16/10 = 8/5
R3: (88/5) / 11 = 8/5
Thus, since this matches the requirements and all three rows have the same constant, Table 1 is the answer.
If you check the other two tables in the same way, you'll see that neither has a constant of proportionality of 8/5.
Hope this helps!
Answer:
Table 1
Step-by-step explanation:
y = (8/5)x
32/5 = 8/5 × 4
32/5 = 32/5
16 = 32/5 × 10
16 = 16
88/5 = 8/5 × 11
88/5 = 88/5
given that f(x)=19x+6, what’s f(3)
Answer:
f(3)=63
Step-by-step explanation:
We want to find out what y is, when x is equal to 3.
f(x)=19x+6
To solve for f(3) substitute 3 in for x.
f(3)=19(3)+6
Multiply
f(3)=57+6
Add
f(3)=63
What is the $x$-intercept of the line perpendicular to the line defined by $3x-2y = 6$ and whose $y$-intercept is 2?
Answer:
Hi, Its still you, huh?
Step-by-step explanation:
3
because because
Answer:
3
Step-by-step explanation:
Gasoline is sold by the gallon. If 5 gal costs $17.35, how much would 12 gal cost?
Answer: $41.64
Step-by-step explanation: $17.37/5=3.47, so 3.47 x 12 = $41.64
I REALLY NEED HELP PLEASE!!!!!!
Question in image below.
A.) ∆KHM ≅ ∆KJM
B.) ∆KHM ≅ ∆MJK
C.) ∆KHM ≅ ∆KHM
D.) ∆KHM ≅ ∆KMJ
Answer:
A.) ∆KHM ≅ ∆KJM
Step-by-step explanation:
In triangle KHJ, KM is the bisector of base HJ..(given)
[tex] \therefore \: HM \cong \: JM...(1) \\ In\: \triangle KHM \:\& \: \triangle KJM\\
KH\cong KJ... (given) \\
KM \cong KM.. (common\: side) \\
HM \cong JM... [From\: equation \: (1)]\\
\therefore \triangle KHM \cong\triangle KJM\\.. (By\:SSS\: Postulate) \\ [/tex]
Answer:
KHM = KJM or A.)
Step-by-step explanation:
YURTTTTT
PLEASE ANSWER ASAP !!!!!
The difference of 3 times a number and 15 is no less than the square of the number.
Select the inequality that represents this relationship.
+
OA. 3.+ 15 > 12
O B. 3. s
OC. 31 < x2
OD. 3.-
I AL
GELABAIE VREME
O
FALSE
the First
Reset
Next
Answer: D
Hope this helps!
sorry about the first answer
Convert the expression 9 1/2to radical form.
Answer:
Radical Form is 1/√9
Step-by-step explanation:
Also, the decimal version is 0.3 repeating
Answer:
[tex]\sqrt[2]{9}[/tex]
Step-by-step explanation:
To find radical form with fractions , put the whole number (i.e 9) inside the square root, the denomination in the top of the square root (i.e 2) and the numerator is the power of the number inside the square root (in this case it is one so you would not put it there.)
a 11 gram sample of substance that's used to treat thyroid disorders s has a k-value of 0.1247
Answer:
You don't have a question but I'll answer what I can.
half-life = natural log (.5) / k
half-life = -.693147 / .1247
half-life = 5.561106656
It seems you did not express the k-value properly.
1) A k-value should have a negative value.
2) A k-value should also have units.
For example, the k-value of tungsten 181 is
-0.005723757 / days
Step-by-step explanation:
Final answer:
a half-life of 5.5 days.
Explanation:
To find the half-life (t1/2) using the decay constant (k), the formula that relates them for the decay of a radioactive substance, typically used for first-order kinetics, is t1/2 = ln(2)/k, where ln(2) is the natural logarithm of 2. Given the decay constant k = 0.125, the half-life is calculated as follows:
t1/2 = ln(2) / 0.125
t1/2 = 5.545 / 0.125
t1/2 = 5.5 days
The mass of the substance does not affect the half-life, so the initial 11-gram sample size is not used in the calculation. Thus, the substance's half-life, rounded to the nearest tenth, is 5.5 days.
If JKL ~ MKN, find the value of x.
Answer:
x = 14
Step-by-step explanation:
12(3x - 2) = 32(x + 1) ← distribute both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
The value of x given that JKL ~ MKN is; x= 14.
According to the question;
JKL ~ MKN; In essence, both triangles are congruent.Based on ratios; We can conclude that;
[tex] \frac{12}{x + 1} = \frac{32}{3x - 2} [/tex]
By cross product, we have;
36x - 24 = 32x + 32.4x = 56x = 14.
Ultimately, the value of x given that JKL ~ MKN is; 14.
Read more on congruent triangles:
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This net can be folded to form a cube with a side length of 20 units.
Answer:
its b!!!!!!!
Step-by-step explanation:
this is the data
..................................................................
Answer:
i think its 1/4 up 5 times
Step-by-step explanation: