Answer:
103
Step-by-step explanation:
first you would need to plug in the 5 to the equation, this would get you 4(5)^2+3 and then you would simplify the exponent which would get you 4(25)+3 then you would multiply 4x25 which would give you 100 finally you would add the 3 giving you the final produt of 103.
Answer:
103
Step-by-step explanation:
You would sub in 5 for w
4(5) ^2 + 3
you square the 5 and get 25 then multiply by 4 which gets your 100 and then add the 3 which gets the Final Answer as 103
14. Given f(x) = x - 3 and g(x) = 4x, find g(f(6)).
A. 3
B. 21
Cu 12
D. 24
9514 1404 393
Answer:
C. 12
Step-by-step explanation:
g(f(6)) = g(6 -3) = g(3) = 4(3)
g(f(6)) = 12
Estimate The Product of 62.375 and 9 (I Need A Clear Answer, DO NOT PUT "SORRY I DONT KNOW BLAH BLAH BLAH I NEED A NICE AND CLEAR QUESTION )
Does this expression represent the sum 13.76 + 2.8?
fourteen and four hundredths
Answer:
False
Step-by-step explanation:
ir doesn't add up from what i saw
How do I evaluate this using trigonometric substitution?
∫dx/(81x^2+4)^2
Answer:
[tex]\displaystyle \frac{1}{144}arctan(\frac{9x}{2}) + \frac{x}{8(81x^2 + 4)} + C[/tex]
General Formulas and Concepts:
Alg I
Terms/CoefficientsFactorExponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Pre-Calc
[Right Triangle Only] Pythagorean Theorem: a² + b² = c²
a is a legb is a legc is hypotenuseTrigonometric Ratio: [tex]\displaystyle sec(\theta) = \frac{1}{cos(\theta)}[/tex]
Trigonometric Identity: [tex]\displaystyle tan^2\theta + 1 = sec^2\theta[/tex]
TI: [tex]\displaystyle sin(2x) = 2sin(x)cos(x)[/tex]
TI: [tex]\displaystyle cos^2(\theta) = \frac{cos(2x) + 1}{2}[/tex]
Calc
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
IP [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
U-Substitution
U-Trig Substitution: x² + a² → x = atanθ
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{dx}{(81x^2 + 4)^2}}[/tex]
Step 2: Identify Sub Variables Pt.1
Rewrite integral [factor expression]:
[tex]\displaystyle \int {\frac{dx}{[(9x)^2 + 4]^2}}[/tex]
Identify u-trig sub:
[tex]\displaystyle x = atan\theta\\9x = 2tan\theta \rightarrow x = \frac{2}{9}tan\theta\\dx = \frac{2}{9}sec^2\theta d\theta[/tex]
Later, back-sub θ (integrate w/ respect to x):
[tex]\displaystyle tan\theta = \frac{9x}{2} \rightarrow \theta = arctan(\frac{9x}{2})[/tex]
Step 3: Integrate Pt.1
[Int] Sub u-trig variables: [tex]\displaystyle \int {\frac{\frac{2}{9}sec^2\theta}{[(2tan\theta)^2 + 4]^2}} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[(2tan\theta)^2 + 4]^2}} \ d\theta[/tex][Int] Evaluate exponents: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4tan^2\theta + 4]^2}} \ d\theta[/tex][Int] Factor: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4(tan^2\theta + 1)]^2}} \ d\theta[/tex][Int] Rewrite [TI]: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4sec^2\theta]^2}} \ d\theta[/tex][Int] Evaluate exponents: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{16sec^4\theta} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{1}{72} \int {\frac{sec^2\theta}{sec^4\theta} \ d\theta[/tex][Int] Divide [ER - D]: [tex]\displaystyle \frac{1}{72} \int {\frac{1}{sec^2\theta} \ d\theta[/tex][Int] Rewrite [TR]: [tex]\displaystyle \frac{1}{72} \int {cos^2\theta} \ d\theta[/tex][Int] Rewrite [TI]: [tex]\displaystyle \frac{1}{72} \int {\frac{cos(2\theta) + 1}{2}} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{1}{144} \int {cos(2\theta) + 1} \ d\theta[/tex][Int] Rewrite [Int Prop - A/S]: [tex]\displaystyle \frac{1}{144} [\int {cos(2\theta) \ d\theta + \int {1} \ d\theta][/tex]Step 4: Identify Sub Variables Pt.2
Determine u-sub for trig int:
u = 2θ
du = 2dθ
Step 5: Integrate Pt.2
[Ints] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} \int {2cos(2\theta) \ d\theta + \int {1 \theta ^0} \ d\theta][/tex][Int] U-Sub: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} \int {cos(u) \ du + \int {1 \theta ^0} \ d\theta][/tex][Ints] Integrate [Trig/Int Rule - RPR]: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} sin(u) + \theta + C][/tex][Expression] Back Sub: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} sin(2 \theta) + arctan(\frac{9x}{2}) + C][/tex][Exp] Rewrite [TI]: [tex]\displaystyle \frac{1}{144} [\frac{1}{2}(2sin(\theta)cos(\theta)) + arctan(\frac{9x}{2}) + C][/tex][Exp] Multiply: [tex]\displaystyle \frac{1}{144} [sin(\theta)cos(\theta) + arctan(\frac{9x}{2}) + C][/tex][Exp] Back Sub: [tex]\displaystyle \frac{1}{144} [sin(arctan(\frac{9x}{2}))cos(arctan(\frac{9x}{2})) + arctan(\frac{9x}{2}) + C][/tex]Step 6: Triangle
Find trig values:
[tex]\displaystyle tan\theta = \frac{9x}{2}[/tex]
[tex]\displaystyle \theta = arctan(\frac{9x}{2})[/tex]
tanθ = opposite / adjacent; solve hypotenuse of right triangle, determine trig ratios:
sinθ = opposite / hypotenuse
cosθ = adjacent / hypotenuse
Leg a = 2
Leg b = 9x
Leg c = ?
Sub variables [PT]: [tex]\displaystyle 2^2 + (9x)^2 = c^2[/tex]Evaluate exponents: [tex]\displaystyle 4 + 81x^2 = c^2[/tex][Equality Property] Square root both sides: [tex]\displaystyle \sqrt{4 + 81x^2} = c[/tex]Rewrite: [tex]c = \sqrt{81x^2 + 4}[/tex]Substitute into trig ratios:
[tex]\displaystyle sin\theta = \frac{9x}{\sqrt{81x^2 + 4}}[/tex]
[tex]\displaystyle cos\theta = \frac{2}{\sqrt{81x^2 + 4}}[/tex]
Step 7: Integrate Pt.3
[Exp] Sub variables [TR]: [tex]\displaystyle \frac{1}{144} [\frac{9x}{\sqrt{81x^2 + 4}} \cdot \frac{2}{\sqrt{81x^2 + 4}} + arctan(\frac{9x}{2}) + C][/tex][Exp] Multiply: [tex]\displaystyle \frac{1}{144} [\frac{18x}{81x^2 + 4} + arctan(\frac{9x}{2}) + C][/tex][Exp] Distribute: [tex]\displaystyle \frac{1}{144}arctan(\frac{9x}{2}) + \frac{x}{8(81x^2 + 4)} + C[/tex]Given a point translated from A(1,2) to B(4,4). If a point C at (0,0) is translated in the same way, what will be its new endpoints?
A.(−3,−2)
B.(3,2)
C.(2,2)
D.(3,3)
please help
Answer:
B. (3,2)
Step-by-step explanation:
Step 1) When shifting from A(1,2) to B(4,4), the point shifted 3 units to the right (which means x=3) and 2 units upwards (which means y=2).
Step 2) So when you apply the same movements to point C(0,0), the new point will be (3,2).
See the diagram below. Step 1 is the graph on the left. Step 2 is the graph on the right. The movement is colored in green. Hope this helps!
The length of a DNA nucleotide building block is about 1 nanometer, or 0.000000001 meters. Fill in the blank to write this number in scientific notation.
Answer:
4
Step-by-step explanation:
The length of a DNA nucleotide building block is about 1 nanometer, or 0.000000001 meters. Fill in the blank to write this number in scientific notation.
×10−9
Work out the size of angle
X.
X Х
33°
20°
165°
Answer:
142 degrees
Step-by-step explanation:
The sum of angle in a quadrilateral is 360 degrees
33 + 20 + 165 + X =360
53 + 165 + X = 360
218 + X = 360
X = 360 - 218
X = 142
Hence the size of angle X is 142 degrees
Find the product. 4 X 0.23
Answer:
0.92
Step-by-step explanation:
1
0.23
x. 4
———
0.92
Hope it helps
The period between two numerals is identified as a decimal point. true or false?
Answer: TRUE!
Step-by-step explanation: Hope this helps!
Answer: True
Step-by-step explanation:
John was adding Rational Numbers. He showed his work below. What was John's error?
Explain to John how to solve it correctly.
Adding Rational Numbers Error.
Answer:
-5 3/5
Step-by-step explanation:
John's error was in adding the whole number and fractional portions separately, the fractions must be converted to improper fractions with common denominators to be added or subtracted properly so
(-7 4/5) + (2 1/5), convert to improper fractions
-39/5 + 11/5, both fractions have common denominator so we can continue
-39 + 11 = -28, so -39/5 + 11/5 = -28/5, convert back to proper fractions
-28/5 = (-25/5) + (-3/5) = -5 3/5
1. Solve the system of equations.
y = –3x + 4
x + 4y = –6
A. x = –2,y = –1
B. x = –2,y = 10
C. x = 2,y = –2
D. x = 3,y = –5
E. x = 4,y = –8
Answer:
c.x=2,y=-2
Step-by-step explanation:
hope this help:)
The dry cleaning fee for three pairs of pants is $18. How much will it cost to clean 11 pairs of pants?
Write these numbers in order, starting with the smallest.
0.78
0.607
5.6
0.098
4.003
Answer:
0.098-0.607-0.78-4.003-5.6
Step-by-step explanation:
The numbers in orders that starting with the smallest should be considered as the 0.098-0.607-0.78-4.003-5.6.
Calculation of the listing numbers:Since the list of the number should be like
0.78
0.607
5.6
0.098
4.003
So here we sequence the numbers from the smallest to the largest
So it should be like 0.098-0.607-0.78-4.003-5.6.
Hence, The numbers in orders that starting with the smallest should be considered as the 0.098-0.607-0.78-4.003-5.6.
Learn more about numbers here: https://brainly.com/question/24571514
How many digits are there in the Hindu-Arabic form of 44,350•1019?
Answer:
25 digits
Step-by-step explanation:
add 5 digits in the 44,350 then add 20 digits from the 10^19 = 25 digits
Slope and Y-Intercept:
Determine the slope and y-intercept
1. y = 4x + 3 m = ____ b = _____
2. y = -5x m = ____ b = _____
Answer:
m= 4 b=3
m= -5 b= 0
Step-by-step explanation:
From the equations given that is the answer
Lamar is saving money to buy a game. So far he has saved $6, which is two-thirds of the total cost of the game. How much does the game cost?
Step-by-step explanation:
$9 because 1 third of 3 third would be $3
what is the equation
Answer:
n = -7
Step-by-step explanation:
3n-27-2n-8=6n
n-35=6n
-35=5n
n=-7
Please help me......
Answer:
<BAC=1/2 <BOC=1/2 X=X/2(INSCRIBED ANGLE IS HALF OF CENTRAL ANGLE)
Please help me, thanks!!!!
1/3 divided by what equals 1/12
Answer:
You cannot get a positive answer for this, nor can you divide. You could however divide 1/12 by 1/4 to get 1/3.
Step-by-step explanation
The number whose 1/3 is 1/12 is 4.
What is Division?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
let 1/3 divided by x equals 1/12.
So, 1/3 ÷ x = 1/12
and, 1/3 (1/x) = 1/12
1/x = 3/12
1/x = 1/4
x = 4
So, the required number is 4.
Learn more about Fraction here:
https://brainly.com/question/10354322
#SPJ2
Write these numbers in standard form.
seven hundred and forty thousand
Answer:
740,000
Step-by-step explanation:
that is standered form yuh
3.3.PS-14
Question Help
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $450
worth of jewelry. How much did he make in commission? How much did the jewelry store make
from his sales?
Jarrod earned $ in commission.
Enter your answer in the answer box and then click Check Answer.
Answer:
tis is not confirmed answer
Step-by-step explanation:
comiision: 112.5%
Multiplying by which number is equivalent to a decrease of 8.2%?
Can someone answer the question ??
In a city election, 5,000 people voted for mayor. If the new mayor received 60% of the votes, how many people voted for the new mayor? Show how you know.
Answer:
3000
Step-by-step explanation:
100%-> 5000
60%->3000
Here is a circle.
The diameter of the circle is 9 cm.
Work out the circumference of this circle.
Give your answer correct to 3 significant figures.
12.11%2S:
GO ON
Page 4
Book 1
o
Which sentence from the article best explains why stunt performers are willing to do
such a dangerous job?
Answer:
for stunt performers and this is lady's work ( paragraph 6)
asking for the “x” in simplest form please help!!
Answer:
x = -0.441 and x = -2.359
Step-by-step explanation:
The given equation is :
[tex]2(5x+7)^2-13=33[/tex]
Adding 13 to both sides of the equation.
[tex]2(5x+7)^2-13+13=33+13\\\\2(5x+7)^2=46\\\\(5x+7)^2=23[/tex]
So,
[tex]5x+7=\sqrt{23}\\\\5x+7=\pm4.795\\\\5x=4.795-7, 5x=-4.795-7\\\\5x=-2.205, 5x = -11.795\\\\x=-0.441, x=-2.359[/tex]
So, the solution of the given equation is x = -0.441 and x = -2.359.
Pls help I need the answer fast
Answer:
2 2/9
hope it's helpful ❤❤❤
THANK YOU.❤
What the area for thos? A= 1/2 (bxh)
Answer:
A =8.75 ft^2
Step-by-step explanation:
The area of the triangle is
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 7 * 2.5)
A =8.75 ft^2