Answers
Answer:
f(3) = 100
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \left \{ {{f(1) = 4} \atop {{f(2) = 25} \atop {f(n) = f(n - 2) \cdot f(n - 1)}} \right.[/tex]
Step 2: Evaluate
Substitute in n [Function f(n)]: f(3) = f(3 - 2) · f(3 - 1)Simplify: f(3) = f(1) · f(2)Substitute in function values: f(3) = 4 · 25Multiply: f(3) = 100Related Questions
find the area of the triangle 15cm, 18cm, 5cm
Answers
Answer:
38
Step-by-step explanation:
Answer:
[tex]32.62\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The area of a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] is given by:
Let [tex]s=\frac{a+b+c}{2}[/tex] (semi-perimeter)
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
We're given three side lengths with lengths 15 cm, 18 cm, and 5 cm. Therefore, the semi-perimeter, [tex]s[/tex], is equal to [tex]\frac{15+18+5}{2}=\frac{38}{2}=19[/tex].
Thus, the area of this triangle is:
[tex]A=\sqrt{19(19-18)(19-15)(19-5)},\\A=\sqrt{19\cdot 1\cdot 4\cdot 14},A=\sqrt{1064}=32.6190128606\approx \boxed{32.62\:\mathrm{cm^2}}[/tex]
Is 9/54 equivalent to 1/3
Answers
Answer: No.
Step-by-step explanation:
9/54 is equal to 1/6
Answer:
no, it is not
Step-by-step explanation:
9/54 can be simplified by dividing both sides by 3, getting 3/18. you can do this again and get 1/6. significantly smaller that l/3
You are working as an office apprentice for the bksb Newcastle Arena. You are helping collect a customer satisfaction survey for the arena. Enter the following replies into the table below.
Answers
Answer:
Step-by-step explanation:
Calculate the area of the following Circle
Answers
Answer:
324
Step-by-step explanation:
Circles are 100% even. If you add another line going opposite direction you would multiply 18x18. You get 324.
Given the quadriceps function ,y=ax2+bc+c what happens to the graph when "a" is a positive?
Answers
Answer:
When "a" is positive, the parabola opens upwards and the vertex is the minimum value.
Step-by-step explanation:
(a+b)²=hihihihihihihihiihihihi
Answers
Answer:
(a+b)²=a²+b²+2ab
Step-by-step explanation:
The square of sum of two terms is equal to the squared plus squared plus times product of and . In mathematics, the plus whole squared algebraic identity is called in three ways. The square of sum of two terms identity.
What is the value of the expression 3m-4.2 If m equals 2.1
Answers
Answer:
2.1
Step-by-step explanation:
Given :
3m-4.2 where, m=2.1
Now,
3(2.1)-4.2
6.3-4.2
2.1
Answer is 2.1
Receipt-of-goods discounts tend to be offered in cases where?
Answers
The answer and how to find the answer
Answers
Answer:
x = 1.9
Step-by-step explanation:
Thanks to a theorem we can use this proportion
10.47 : 4.44 = 4.44 = x
x = (4.44^2)/10.47 = 1,882865 = 1.9
Find the area of the composite figure.
Answers
Answer:
25m²
Step-by-step explanation:
it might be helpful for you
Bạn dự định một năm nữa kể từ hôm nay, bạn sẽ mở một tài khoản tiết kiệm 100 triệu đồng với lãi suất niêm yết của ngân hàng là 8%/ năm
a, Nếu bạn chia tài khoản tiền gửi 100 triệu đônbf ghành 5 tài khoản tiền bằng nhau, mỗi tài khoản 20 triệu đồng để gửi vào cuối năm 1,2,3,4 và 5 thì số dư tài khoản tiền gửi của bạn sẽ là bao nhiêu vào cuối năm thứ 5, với lãi suất 8%/năm và ghép lãi hằng năm ?
Answers
Answer:
Sorry dont understand
Consider the expression 63+81 how can you use the distributive property and the gcf to find an equivalent expression?explain how you can check your answer
Answers
Step-by-step explanation:
63+81
gcf = 9
63÷9=7, 81÷9=9
so, 63+81 = (9×7)+(9×9)
= 9×(7+9)
63+81 = 144
9x(7+9) = 9×16 = 144
In a random sample of 150 customers of a high-speed internet provider, 63 said that their service had been interrupted one or more times in the past month. Find a 95% confidence interval for the proportion of customers whose service was interrupted one or more times in the past month.
Answers
Answer:
The correct answer is "0.3410, 0.4990".
Step-by-step explanation:
Given values are:
[tex]n=150[/tex]
[tex]p=\frac{63}{150}[/tex]
[tex]=0.42[/tex]
At 95% confidence interval,
C = 95%
z = 1.96
As we know,
⇒ [tex]E=z\sqrt{\frac{p(1-p)}{n} }[/tex]
By substituting the values, we get
[tex]=1.96\sqrt{\frac{0.42\times 0.58}{150} }[/tex]
[tex]=1.96\sqrt{\frac{0.2436}{150} }[/tex]
[tex]=0.0790[/tex]
hence,
The confidence interval will be:
= [tex]p \pm E[/tex]
= [tex]0.42 \pm 0.079[/tex]
= [tex](0.3410,0.4990)[/tex]
What is the standard form of 14587.25
Answers
Answer:
fourteen thousand five hundred and eighty seven point twenty five.
Step-by-step explanation:
The given number is 14587.25.
We need to write it in standard form.
7 is in ones place, 8 is in tens place, 5 is in hundreds place, 4 is in thousands place and 1 is in ten-thousands place.
So,
14587.25 = fourteen thousand five hundred and eighty seven point twenty five.
The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of elevation to the top of the dam from a point 155 feet farther down river is 0.9 radi- ans; assume the two angle measurements are taken at the same elevation above sea level. How high is the dam?
Answers
Answer:
382.925 feets
Step-by-step explanation:
The solution diagram is attached below :
Converting radian measurement to degree :
radian angle * 180/π = degree angle
1.2 * 180/π = 68.755°
0.9 * 180/π = 51.566°
Height of dam is h:
Using trigonometry :
Tan θ = opposite / Adjacent
Tan 68.755° = h / x
h = x Tan 68.755° - - - (1)
Tan 51.566° = h / (155+x)
h = (155+x) tan 51.566° - - - (2)
Equate (1) and (2)
x Tan 68.755 = (155+x) Tan 51.566
x Tan 68.755 = 155tan 51.566 + x tan 51.566
x Tan 68.755 = 195.32311 + x Tan 51.566
x Tan 68.755 - x Tan 51.566 = 195.32311
x(tan 68.755 - tan 51.566) = 195.32311
x * 1.3120110 = 195.32311
1.3120110x = 195.32311
x = 195.32311 / 1.3120110
x = 148.87307
Using :
h = x Tan 68.755
h = 148.87307 * tan(68.755)
h = 382.92539
h = 382.925 feets
Can you solve this problem
Answers
Answer:
x = 18
Step-by-step explanation:
8 x 18 - 3 = 141
Question 7(Multiple Choice Worth 1 points)
(02.08 LC)
To follow appropriate safety procedures, what should soccer players wear?
Goggles
Helmets
Mouth pieces
Shin guards
Answers
Answer:
The answer is Mouth pieces
The piece of safety equipment that should be worn when painting a ceiling is safety goggles. The correct option is c.
What are safety goggles?Safety goggles are worn on the eyes. They are worn to get safety from sun, wind, and dust. If we work in a factory or some mechanical work, then goggles are must save eyes.
Here, we have,
When working with the ceiling, it has a chance to damage your eyes with the plaster and paint, so wearing safety goggles is necessary.
Thus, the correct option is c. safety goggles, in regard to being worn when painting a ceiling.
Learn more about safety goggles, here:
brainly.com/question/17225935
#SPJ2
Complete question:
Which of these pieces of safety equipment should be worn when painting a ceiling
a knee guards
b helmet
c safety goggles
d mouth guard
I WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY FIRST
Answers
Answer:
2 liter = 2000 ml
2000/250 = 8 bottles Step-by-step explanation:
The actual quantity will be between 249.5000 and 250.4999 (7 sf)
This can also be written as 249.5 <= x < 250.5
Or as the interval [249.5, 250.5) which means from 249.5 (including 249.5) to 250.5 (excluding 250.5)
If the quantity was 250.5 it would round up to 251.
seventy four lakh nine thousand eleven in numeral form
Answers
Seventy Four Lakh , Nine Thousand And Eleven=
7409011Which is equivalent to f/125)*? O 125+ 0 1254 125" C. 125/11
Answers
Answer:
I think choose (1)
[tex]125 ^{ \frac{1x}{3} } [/tex]
A rectangular Carrer has a perimeter of 240cm breadth of 50cm.What is it's length
Answers
Step-by-step explanation:
The perimeter of a rectangle is the length of all its 4 sides. Formula to calculate the perimeter of a rectangle is:
Perimeter of Rectangle = 2 × Length + 2 × Breadth
The perimeter can be represented using a model as below.
Perimeter = Length + Breadth + Length + Breadth
= 2 × Length + 2 × Breadth
Length + Breadth = Perimeter ÷ 2
what'd the greatest common factor (GCF) for each pair of numbers. 25, 55 The GCE IS
Answers
Answer:
5
Step-by-step explanation:
5 l 25,55
l 5,11
i need to see the steps for simplifying 3(m-5)+m
Answers
Answer:
4m - 15
Step-by-step explanation:
a( x + y) = ax + ay
[tex]3( m - 5 ) + m\\\\3m - 15 + m \\\\4m - 15[/tex]
Answer:
4m-15
Step-by-step explanation:
Distrubite 3 through the parentheisis
3m-15+m
Collect like terms
4m-15
An educational psychologist wondered whether there was a relationship between the amount of academic pressure a high school student felt and their plans for college. They surveyed a random sample of 300 high school students throughout the country about their college plans and whether they felt academic pressure. Here are the responses and partial results of a chi-square test (expected counts appear below observed counts):
Chi-square test:
Planned years of college vs. feeling academic pressure now
O years Up to 4 years Up to 4 years More than 4 years Total
Yes 31 48 161 240
31.2 48 160.8
No 8 12 40 60
7.8 12 40.2
Total 39 60 201 300
They want to use these results to carry out a xạ test of independence. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test?
What are the values of the test statistic and P-value for their test?
A. x² = 0.002;
0.001 < P-value < 0.0025
B. x² = 0.002;
P-value > 0.25
C. x² = 0.007;
0.005 < P-value < 0.01
D. x² = 0.007;
P-value > 0.25
Answers
Answer:
D. x² = 0.007;
P-value > 0.25
Step-by-step explanation:
The observed and expected values are given below :
Yes____31 48 161 ____240
______31.2 48 160.8
No ____ 8 12 40_____ 60
______7.8 12 40.2
Total __ 39 60 201 ___300
The Chisquare statistic, χ²:
Σ(Observed - Expected)²/ Expected
Chi-Squared Values:
0.00128205 __ 0 __ 0.000248756
0.00512821 __ 0 __ 0.000995025
(0.00128205 + 0 + 0.000248756 + 0.00512821 + 0 + 0.000995025 )
= 0.007654041
The degree of freedom = (row - 1) * (column - 1)
Degree of freedom = (2-1)*(3-1) = 1*2= 2
The Pvalue = 0.9962
Pvalue > 0.25
What are the values of A, B, C, and D?
A = 0; B = 1; C = -3; D = 3
A = 0; B = 1; C = 3; D = -3
A = 1; B = 0; C = -3; D = 3
A = 1; B = 0; C = 3; D = -3
Don’t know real answer
Answers
The values of A, B, C and D are (d) A = 1, B = 0, C = 3 and D = -3
How to solve for A, B, C and D?From the question, we have:
x^3 + 8x - 3 = Ax^3 + 5Ax + Bx^2 + 5B + Cx + D
Collect like terms
x^3 + 8x - 3 = Ax^3 + Bx^2 + 5Ax + Cx + 5B + D
By comparing the coefficients, we have:
Ax^3 = x^3
Bx^2 = 0
5Ax + Cx = 8x
5B + D = -3
Remove the x factors
A = 1
B = 0
5A + C = 8
5B + D = -3
Substitute A = 1 in 5A + C = 8
5(1) + C = 8
Solve for C
C = 3
Substitute B = 0 in 5B + D = -3
5(0) + D = -3
Solve for B
D = -3
Hence, the values of A, B, C and D are (d) A = 1, B = 0, C = 3 and D = -3
Read more about partial fractions at:https://brainly.com/question/18958301
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xác định m để 3 vector sau đây phụ thuộc tuyến tính
u=(m+1,1,m+1),v=(1,1,1),u(2,0,m+2
0
Answers
Answer:
i dont know hahaha
Step-by-step explanation:
soryy
Solve the equation for x in terms of c.
2/3(cx+1/2)-1/4=5/2
Answers
Answer:
Step-by-step explanation:
The answer you have chosen is not correct. Let's walk through the simplification process, shall we?
Begin by adding over the 1/4, after you find the common denominator, that is. 5/2 with a denominator of 4 is 10/4:
[tex]\frac{2}{3}(cx+\frac{1}{2})=\frac{11}{4}[/tex] and then multiply both sides by the reciprocal of 2/3:
[tex]cx+\frac{1}{2}=\frac{33}{8}[/tex] then subtract the 1/2 in the form of 4/8 (common denominator and all...) to get
[tex]cx=\frac{29}{8}[/tex] and finally divide both sides by c to get
[tex]x=\frac{29}{8c}[/tex] That's choice C.
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parallel to the given line with an x-intercept of 4?
Answers
m = gradient
gradient of line:
[5 - (-3)]/[(-1) - (-3)]
= 8/2
= 4
y = mx + c
subsitute (4, 0)
0 = (4)(4) + c
0 = 16 + c
c = -16
equation of the line:
y = 4x - 16
hope this helped :)
Answer:
4, -16
Step-by-step explanation:
Ms. Harlow had 56 tickets. She gave 2 tickets to each of her 21 students.
Which set of equations shows how many tickets Mrs. Harlow had left?
21 x 2 = 42
OA)
56 - 42 = 14
56 - 21 = 35
ОВ)
35 - 2 = 33
21 x 2 = 42
OC)
56 + 42 = 98
56 - 21 = 35
OD)
35 + 2 = 37
Answers
Answer: 56 - 42
Step-by-step explanation: She gave 2 to EACH of her 21 students. So 2 * 21 = 42. 56 - 42
Solve:
n = 8
4
O n = 2
0 n = 12
Ô n = 24
0 n = 32
Answers
Answer:
1/4 n = 8
n = 8 * 4
n = 32
so option 4 i.e.
n = 32. is the ans
Answer:
n=32
Step-by-step explanation:
Given :
[tex]\frac{1}{4} n=8[/tex]
Now,
Value of n can be calculated as :
[tex]\frac{1}{4} n=8[/tex]
n=8×4
n=32
Therefore, option (D) is correct.
