Answer:
f(x)=2x-11
f(6)=2(6)-11
=12-11
=1
and the answer is c.
Explanation:
f(6) means you have to replace all x's in the function with 6.
For example, if the problem was asking you what is the value of f(10) you would have to replace all the x's in the respective function with 10 and so on.
May I have help with this quickly, please? Thank you! :D
Answer:
220
Step-by-step explanation:
First you divide 15 by 2 then you take the answer and multiply the 1750 . Last but not least you divide the answer by 60 to get your answer
A raccoon travels 113 miles in 0.8 hours
How fast did the raccoon travel in mles
per hour? Round to the nearest tenth
113 in .8 hours
113 / 4 in .2 hours
28.25 in .2 hours
28.25 * 5 in 1 hour
141.25 in 1 hour
141.3 mph
Question: Antonio is working with a new geometric series generated by the equation A(n)=20(1.1)^n-1.His sister challenged him to find the sum of the first 22 terms
Answer:
sum of 22nd = 1,428.05
sum of 23 to 40 is 932.53
Step-by-step explanation:
A(n)=20(1.1)^n-1
20 is the first term or a1
1.1 is the common ratio or r
A(22) = 20(1.1)^22-1
22nd term = 20(1.1)^21
22nd term = 148.00
sum of geometric sequence
formula
Sn = a1(1-r^n)/1-r
Sn = sum
a1 = first term
n = number of term
r = constant ratio
sum of 22nd = 1,428.05.
23 to 40 is 17 terms
Sequence: 23, 25.3, 27.83, 30.613, 33.6743, 37.04173, 40.745903 ...
The 17th term: 105.684378686
Sum of the first 17 terms: 932.528165548
socratic
miniwebtoolcomgeometricsequencecalculator
His sister challenged him to find the sum of the first 22 terms of geometric series is 1428.05.
What is a series?A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
Antonio is working with a new geometric series generated by the equation that is
[tex]A_{n}=20(1.1)^n-1.[/tex]
His sister challenged him to find the sum of the first 22 terms will be given as
[tex]Sn = \dfrac{a(r^n - 1) }{ (r - 1)}[/tex]
We have
a = 20
r = 1.1
n = 22
Then
[tex]\rm S_n = \dfrac{20(1.1^{22} - 1) }{ (1.1 - 1)}\\\\\\S_n = \dfrac{20(8.14 - 1) }{ 0.1}\\\\\\S_n = \dfrac{20*7.14 }{0.1}\\\\\\S_n = 1428.05[/tex]
His sister challenged him to find the sum of the first 22 terms of geometric series is 1428.05.
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A total of 435 tickets were sold for the school play. They were either adult tickets or student tickets. There were 65 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
370 adult tickets... 435-65=370
The relative frequency of Event A in an experiment is 1/3.
If the experiment is performed 30 times, how many times should you expect Event A to occur?
Enter your answer as a number, like this: 42
Answer:
10
Step-by-step explanation:
30 x 1/3 = 10
aka if you do something 30 times and every 3 times it happens you do it 10 times.
pleaseeee helpppp???? :)))))))))
Answer:
(a) 28π cm
(b) 88 cm
Step-by-step explanation:
Part A — Give an exact answer in terms of π.
To find circumference of a circle, our formula is:
[tex]\displaystyle \large{C=2\pi r}[/tex]
Where:
C = circumference r = radiusRadius is,the line segment or value from center to one of endpoints. Our radius is given as 14 cm in the shown attachment.
Henceforth, our circumference is:
[tex]\displaystyle \large{C=2\pi \cdot 14}\\\displaystyle \large{C = 28\pi}[/tex]
So for part A, the circumference is 28π cm.
Part B — Use π ≈ 22/7 and express your answer as a fraction in lowest terms.
For this part, use the circumference that we solved from part A:
[tex]\displaystyle \large{C=28\pi}[/tex]
Substitute π = 22/7 in.
[tex]\displaystyle \large{C \approx 28\cdot \frac{22}{7}}\\\displaystyle \large{C \approx 4\cdot 22}\\\displaystyle \large{C \approx 88 \ cm}[/tex]
Henceforth, the circumference in Part B is approximately 88 cm.
An electric utility worker wants to anchor a guy wire from the top of a 20.4-foot utility pole to a spot that is 8.5 feet from the base of the pole on level ground. How long does the guy wire need to be? Round your answer to one decimal place.
The length of the guys wire should be = 22.1 feet
Using pythagorean theorem in geometryThe pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides.
Therefore,
[tex]c {}^{2} = 20.4 {}^{2} + 8.5 {}^{2} [/tex]
[tex]c {}^{2} = 416.16 + 72.25[/tex]
[tex]c {}^{2} = 488.41[/tex]
[tex]c = \sqrt{488.41} [/tex]
c = 22.1 feet.
Where c represents the length of the guys wire
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A circular piece of glass has a radius of 0. 8 meters. The glass sells for $4. 60 per m². What is the total cost of the circular piece of glass? Use 3. 14 for pi. $2. 01 $9. 24 $23. 11 $36. 98.
The cost of the circular glass piece will be equal to $9. 24
What will be the cost of the circular glass piece?
It is given that
The radius of the circular glass piece [tex]r= 0.8 meters[/tex]
The selling price of glass per square meter = $4. 60
Now find the area of the circular glass piece
[tex]A= \pi r^{2}[/tex]
[tex]A=\pi \times (0.8)^{2}[/tex]
[tex]A=2.01 m^{2}[/tex]
Now cost of the glass piece =
[tex]=Area \times selling price of glass pieces per square meter area[/tex]
[tex]= 2.01\times4.0=9.24[/tex]
Thus the cost of the circular glass piece will be equal to $9. 24
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The equation, 3x2 6x 3y2 7y 4 = 0, represents a conic. The conic represented by the equation is a/an because.
The given equation is an equation of a circle because it looks similar to the general equation of a circle.
What is the general equation of a circle?The general equation of a circle is:
x² + y² +2gx + 2fy + c = 0...........eq1
Where (-g, -f) is the center of the circle.
c is a constant
Given equation is
3x² +6x + 3y²+7y+4 = 0
Let us take 3 as common
x² + 2x+y²+7/3y + 4/3 = 0
Let us rearrange the equation
x² + y²+2x +7/3y + 4/3 = 0...........eq2
Now look at eq1 and eq2
We got that eq2 is having a similar pattern as eq1.
Therefore, The given equation is an equation of a circle.
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Answer:
circle A = C
Step-by-step explanation:
Anytown households that earn more than $75,000 tend to buy sports equipment, while households that earn less than $75,000 tend to buy TVs. Which new business would be most likely to succeed? a car dealership an electronics store an office supply store a sporting goods store.
Answer: An Electric Store
Step-by-step explanation: Hoped This Helped! Thx For The Points!
Answer:
B
Step-by-step explanation:
an electronics store
PLEASEEEEE HELP ME, ILL GIVE BRAINLIEST
Find the absolute value of 3+8i
Answer:
73 is the answer 100%
Step-by-step explanation:
Hoped this helped a little at least :)
*UPDATED*
Using abosute value formulas:
|a + bi| = sqrt( a + bi)(a-bi) = sqrt(a^2 + b^2)
In the given equation a = 3 and b = 8
sqrt(3^2 + 8^2)
Sqrt(73)
Answer: sqrt(73)
Mary invests £12000 in a savings account. The account pays 1. 5% compound interest per year. Work out the value of her investment after 2 years
Answer:
The value of Mary's investment after two years = £12362.7
Step-by-step explanation:P = Principal / initial amountR = rate of interest per cent per yearT = number of yearsA = final amount at the end of T yearsThen:A = P*(1 + R/100)^2In our example:P = £12000R = 1.5 per cent per yearT = 2 yearsThus:A = 12000*(1 + 1.5/100)^2 = 12000*(1 + 0.015)^2 = 12000*(1.015)^2 = 12000*(1.030225) = 12362.7Value of investment after two years = £12362.7
10. What is the value of x in the figure shown? (2x + 6)° 80 °
Answer:
Step-by-step explanation:
The opposite angles formed by two intersecting straight lines are equal:
(2x+6) = 80°
2x = 74°
x = 37°
Answer:
X = 37
Step-by-step explanation:
These are vertically opposite angles and thus equal.
Therefore,
[tex]2x + 6 = 80[/tex]
[tex]2x = 74[/tex]
[tex]x = 37[/tex]
HELP I DONT KNOW HOW TO DO THIS
Answer:
5 units
Step-by-step explanation:
The base of a triangular prism is the area of the triangle, i.e. the area of the cross-section.
The "height" of this triangular prism is the depth of the shape (the wording of the question is confusing!).
Volume of the prism = area of cross-section × height
= area of triangle × depth of shape
If the volume of the prism is 130 units³ and the area of the base is 26 units², substitute these values into the above formula to find the height:
⇒ 130 = 26 × height
⇒ height = 130 ÷ 26
⇒ height = 5 units
Answer: 10
Step-by-step explanation:
This problem depends on how you view "volume." In this case, I would view the volume as taking the surface area of the triangle, and then multiplying it by the small width it has. This will take the area and scale it across the entire volume. So, taking the area of a triangle and multiplying it by the width, you get:
[tex]Volume=Area*Width[/tex]
[tex]Volume=(\frac{1}{2} bh)*w[/tex]
We weren't given the actual base, but instead given the base area. That's easily undoable since the area of a rectangle is easy. Its simply, length times width.
[tex]Area=l*w[/tex]
We want the length here. The length of the rectangle is equivalent to the base of the triangle. Solve for the length of the rectangle to get:
[tex]Length=Base=Area/Width[/tex]
Lets plug in this "base" value into the formula for the volume of the figure:
[tex]Volume=(\frac{1}{2} (A/w)h)*w[/tex]
Plug in the given values. First though, you'll notice the width cancels giving:
[tex]Volume=(\frac{1}{2} Ah)[/tex]
[tex]130=(\frac{1}{2} 26*h)[/tex]
[tex]130=13h[/tex]
[tex]h=10[/tex]
who will give rhe answer I'll mark them as brainlist
Answer:
7+8+6+5+4 = 30
30+1=31
31/2 = 15.5
Answer = 60-70
Step-by-step explanation:
Put the results in numerical order (in a frequency table this will already be done)
Count the total amount of results and add one
Divide this by 2 to find the position of the middle result
Find the middle result in the numerically ordered list or frequency table
You will then have the median of the set of results
The polynomial function f(x) is a fourth degree polynomial. which of the following could be the complete list of the roots of f(x)? 3, 4, 5, 6 3, 4, 5, 6i 3, 4, 4 i startroot 6 endroot, 5 startroot 6 endroot 3, 4, 5 i, –5 i
Polynomial is an expression consisting of indeterminates and coefficients, also mathematical operations. option 1 is a complete list of the roots of the polynomial function.
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
As it is given that a polynomial function f(x) is a fourth-degree polynomial. Therefore, it must have 4 roots. Now if we check all the options for the possible list of roots of f(x).
Looking at the options,
Option 1. 3,4,5,6 can be the complete list for polynomial function f(x).
Now, Option 2 and option 3 cannot be the complete list of the roots for f(x) as it has one complex root and complex roots always occur in pairs.
Further, Option 4 cannot be the complete list for f(x) as complex roots occur in pairs and they conjugates but conjugate of 5+i is 5-i(which is not given), not -5+i.
Hence, option 1 is a complete list of the roots of the polynomial function.
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Answer: A, or 3, 4, 5, 6. :)
A number times four is six less than twice the number find the number
Answer:
The number is -3
Step-by-step explanation:
First, let's translate the statement into an equation.
4x = 2x - 6Step 1: Subtract 2x from both sides.
[tex]4x-2x=2x-6-2x[/tex] [tex]2x=-6[/tex]Step 2: Divide both sides by 2.
[tex]2x/2 = -6/2[/tex] [tex]x=-3[/tex]Therefore, the number is -3/
If the number times four is six less than twice the number then the number will be -3.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to find number?let the number be x.
According to the questions the following equation can be made:
4x=2x-6
We have multiplied by 4 with the number and 2 with number and subtracted 6 because it is given that 4 times the number is equal to twice the number less 6.
Now we have to solve the equation for x.
4x-2x=-6
2x=-6
x=-6/2
x=-3
Hence if the number times four is six less than twice the number then the number will be -3.
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What is the prime factorization of 20 in exponential form?
Answer:
•The prime factorization of 20 using exponents is 22*5 2 2 ∗ 5 .
Explanation:#Let's Study
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#Carry On Learning
A group of 125 teenagers were asked which of the following activities they would most likely choose to spend their free time doing: reading a book, watching television, playing video games, or listening to music. The results are displayed in the circle graph below.
How many teenagers chose to listen to music?
a. 40
b. 50
c. 45
d. 35
Answer:
D. 35 of teenagers chose to listen to Music
Step-by-step explanation:
We are given the following info
The percentage of teenagers listening to musicthe total number of TeenagersAll we have to do next is find the percentage of Teenagers that Listened to music which is already given to us: 28%
Now we find 28% of 125 and we get 35 teenagers
Hope I could help
Answer:
35
Step-by-step explanation:
28%of 125 = 35
16% of 125 = 20
24% of 125 = 30
32% of 125 = 40
hi can someone help me please
Answer:
56
Step-by-step explanation:
The total of a triangle 180 so you just need to take 124 away from 180 and you get 56 the reason you do this is because we added 90 and 34 making 124 for to find the missing angle you just subtract the total from the given angles
2y=4x−2 simplify the equation
Answer:
y=2x-1
Step-by-step explanation:
2y=4x-2
y=4/2x-2/2
y=2x-1
Answer:
y=2x-1
Step-by-step explanation:
divide everything by 2
[tex] \frac{2y}{2} = \frac{4x}{2} - \frac{2}{2} \\ y = 2x - 1[/tex]
What is the exact value of sin
(7pie/12)
Answer:
[tex]\displaystyle \frac{\sqrt{2} + \sqrt{6}}{4}[/tex]
Explanation:
If you recall the unit circle [from the polar graph], you would have no trouble at all figuring this out, but sinse you have trouble, do not worry about it. So, here is what you should have realised:
[tex]\displaystyle \boxed{\frac{\pi}{2}} = \frac{6}{12}\pi[/tex]
If you did not notise, [tex]\displaystyle \frac{7}{12}\pi[/tex]is just [tex]\displaystyle \frac{\pi}{12}[/tex]more than [tex]\displaystyle \frac{\pi}{2},[/tex]which means the exact value could possibly have a 4 in its denominatour [which obviously also has a desimal value] or could be irrational [values that cannot be written as fractions]. In this case, according to the unit circle, you will have a fraction, and that will be this:
[tex]\displaystyle \frac{\sqrt{2} + \sqrt{6}}{4}[/tex]
It is all about memorisation of the unit circle, which I know is difficult, but you will get used to it soon.
*Now, if you had to find [tex]\displaystyle cos\:\frac{7}{12}\pi,[/tex]then the exact value would be the OPPOCITE of the exact value of [tex]\displaystyle sin\:\frac{7}{12}\pi,[/tex]which is [tex]\displaystyle -\frac{\sqrt{2} + \sqrt{6}}{4},[/tex]because you would be crossing into the second quadrant where the x-coordinates are negative, accourding to both the cartesian and polar graphs.
I am joyous to assist you at any time.
Which equation can be used to find the product 640x7?
A.
B.
C.
D.
Answer:
A.=880
B.=4240
C.=700
D.=4480 which is the sum of 640*7
Step-by-step explanation:
mr cleann account go rip
Answer:
D. (600 × 7) + (40 × 7) = 4200 +280
Step-by-step explanation:
It might helps you
Evaluate the expression.
(65 + (1/5x 5) + 6) = 9
Let's verify
65+(1/5×5)+565+671As LHS not equal to RHS
This is not trueWrite the equation of the line that passes through the point (-4, -2) and is parallel to the line
Answer:
THIRD OPTION
Step-by-step explanation:
The line admits a slope equal to the line
so, slope=1/4
It passes through (-4,-2), so the coordinates satisfy the equation
-2=-4/4+b
-2=-1+b
b=-2+1=-1
y=1/4x-1
HELPPPP!!! I NEED SOME HELP PLSS
Answer:
v/lw=h
Step-by-step explanation:
I hope this helps and have a good day
what's 5 divided by 3 1/3?
Answer:
1.5
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction.
Mark me brainliest!!
What is the area of an isosceles right triangle that has one leg that measures 6 cm?
A 18 cm
B 36 cm
C 6√2 cm
D 72 cm
Answer:
Correct option is A)
Explanation:
Let height of triangle = h
As the triangle is isosceles,
Let base = height =h
According to the question, Area of triangle = 8cm
2
⟹
2
1
×Base×Height=8
⟹
2
1
×h×h=8
⟹h
2
=16
⟹h=4cm
Base = Height = 4cm
Since the triangle is right angled,
Hypotenuse
2
=Base
2
+Height
2
⟹Hypotenuse
2
=4
2
+4
2
⟹Hypotenuse
2
=32
⟹Hypotenuse=
32
Hence, Options A is the correct answer.
Step-by-step explanation:
HELP
Select all the expressions that are equal to 5/9×8
9 divided by 5 x 8
8/9 x 5
5 divided by 8 x 9
5 x 1/9 x 8
5 x 8 divided by 9
Part B
evaluate the expression in part a enter your answer in the boxes
Answer:
8/9 x 5
5 x 1/9 x 8
5 x 8 divided by 9
Step-by-step explanation:
5/9 = 0.5555*8 =4.444
8/9 = 0.8888*5 =4.444
5*1/9 = 0.5555*8 =4.444
5*8 = 40/9 =4.444
Use the equation v = StartFraction 10 Over p EndFraction to determine the pressure when the volume is 10 liters. A. 10 c. 100 b. 0. 1 d. 1.
The value of the pressure is 1 when the value of volume is 10 liters, the correct option is D.
What is the pressure?Pressure is defined as the physical force exerted on an object.
The force applied is perpendicular to the surface of objects per unit area.
Given
The equation is
[tex]\rm V=\dfrac{10}{p}[/tex]
Where the v is the volume and p is the pressure.
The value of p when the value of volume v is 10 liters is;
[tex]\rm V=\dfrac{10}{p}\\\\\rm 10=\dfrac{10}{p}\\\\P = \dfrac{10}{10}\\\\P=1[/tex]
Hence, the value of the pressure is 1.
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