Hello :) Can you help me understand this and break it down for me after solving pleasethanks in advance
Answers
Step 1:
Domain definition
The domain of a function is the set input or argument values for which the function is real and defined.
Step 2:
\(\text{The domain of the function is x }\ge\text{ -2}\)Step 3:
To find f(34), you will substitute x = 34
\(\begin{gathered} f(x)\text{ = }\sqrt[]{x\text{ + 2}}\text{ + 5} \\ f(34)\text{ = }\sqrt[]{34+\text{ 2}}\text{ + 5} \\ f(34)\text{ = }\sqrt[]{36}\text{ + 5} \\ f(34)\text{ = 6 + 5} \\ f(34)\text{ = 11} \end{gathered}\)Final answer
f(34) = 11
Related Questions
Find sum of 30 consecutive terms given that the 10th term is 28 and 20th term is 58
Answers
Answer:
17
Step-by-step explanation:
To find the common difference d, use the formula a1+4d=a5.
For us, a1 is 10 and a5 is 38.
10+4d=38
Now we can solve for d.
4d=28
d=7
Add the common difference to the first term to get the second term.
a2=a1+d=10+7=17
The sum of the n consecutive terms of an arithmetic sequence.
S = n/2 [ 2a + (n - 1) d ]
The sum of the 30 consecutive terms is 1335.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
We have,
30 consecutive terms.
10th term = 28
a + 9d = 28 ____(1)
20th term = 58
a + 19d = 58 _____(2)
From (1) and (2) we get,
a = 28 - 9d
Putting in (2) we get,
28 - 9d + 19d = 58
10d = 30
d = 3
This is an arithmetic sequence.
Now,
a + 9d = 28
a + 9 x 3 = 28
a + 27 = 28
a = 28 - 27
a = 1
Now,
The sum of the 30 consecutive terms.
S = n/2 [ 2a + (n - 1) d ]
n = 30
S = 30/2 [ 2 x 1 + (30 - 1) 3 ]
S = 15 [ 2 + 29 x 3 ]
S = 15 [ 2 + 87 ]
S = 15 x 89
S = 1335
Thus,
The sum of the 30 consecutive terms is 1335.
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Perform the indicated operation (x-3y)(3x-11y)
Answers
Answer:
\(3x^{2} - 20xy + 33y^{2}\)
Step-by-step explanation:
\((x-3y)(3x-11y)\\3x^{2} - 9xy - 11xy + 33y^{2} \\3x^{2} - 20xy + 33y^{2}\)
Write the system first as a vector equation and then as a matrix equation.
7 x 1
plus
x 2
minus
3 x 3
equals
7
3 x 2
plus
2 x 3
equals
0
Question content area bottom
Part 1
Write the system as a vector equation where the first equation of the system corresponds to the first row. Select the correct choice below and fill in any answer boxes to complete your choice.
Answers
The given system of equations can be written as a vector equation \(7x^1+x^2-3x^3\) = 7 and as a matrix equation = , where A = [7 1 -3 3 2 2] and B = [7 0].
What is equation?An equation is a mathematical statement that expresses the equality of two expressions. It usually consists of two expressions separated by an equals sign (=). The expressions may contain numbers, variables, and operations, such as addition, subtraction, multiplication, and division. The solution of an equation is the value of the variable that makes the equation true.
Vector equation:
\((7x^1+x^2-3x^3)=7\)
Part 2
Write the system as a matrix equation. Select the correct choice below and fill in any answer boxes to complete your choice.
Matrix equation:
=
A =
[7 1 -3
3 2 2]
B =
[7
0]
Conclusion:
The given system of equations can be written as a vector equation \((7x^1+x^2-3x^3)\) = 7 and as a matrix equation = , where A = [7 1 -3 3 2 2] and B = [7 0].
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I am not sure how to do this. Any help is appreciated.
Answers
Answer:
B.
Step-by-step explanation:
The instructions to connect points WYXZ to make the square mean that WX and YZ are diagonals of the square. They must be mutual perpendicular bisectors. Their point of intersection is necessarily the center of the circle. That is, WX must be a diameter.
which expression is equivalent to the given expression?
(4m2n)2
2m5n
A 8m9n3
B 4m9n3
C 8m-1n
D 4m-1n
Answers
Answer:
C. 8m`¹.n
Step-by-step explanation:
((4m²n)²) /(2m^5.n)
= (16m⁴n²)/(2m^5.n)
= 8m`¹n
If it takes a secretary 20 which type 400 pages how many pages can he
type in 45 minutes
Answers
Answer:
I think its 20 minutes
am i right?
Step-by-step explanation:
I am not sure about my ans
but..
it can 800 or more pages
hope it helps you...
Answer:
900pages=45minutes
Step-by-step explanation:
Step 1: Find the unit rate=how many pages he can type in 1 minute
to find the unit rate,
k=y/x
y=400 pages
x=20 min
400/20=20 pages in 1 minute
Step 2: Multiply the amount of pages by 45
k times x = y
20 times 45= 900 pages in 45 minutes
So, it will take the secretary 45 minutes to type 900 pages.
What is the volume of a solid that is 3 inches wide, 4
inches tall, and 2 inches deep?
24 in.2
24 in.3
26 in.2
26 in. 3
Answers
24 in^2
Step-by-step explanation:
3 x 4 x 2 = 24 in^2
Answer:
3×4×2 = 24 in^3
Although it depends on the shape
When you calculate (In) 7, you would be finding the
value of which of the following expressions?
O log10 7
O log, 10
O log, e
O log 7
Answers
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
what is logarithm?In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).
When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).
As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
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PLEASE HELP WITH THIS ONE QUESTION (what is meant by “describe” is give all the values of the key features).
Answers
Answer:
x-intercepts: (1,0), (−2,0) and (2,0)
y-intercept: (0,4)
The graph is rising and crosses 3 times the x-axis and 1 time the y-axis as shown above.
If I pay 10% extra of my regular charge each month on my bill of $35.00, how long until I have built up a full month's credit?”
Representative: “You will have a full month’s credit in __________ months.”
Answers
Answer:
10 months
Step-by-step explanation:
Tomas is paid $200 for 5 days of work. How much is he paid per day?
Answers
$200/5
40 dollars per day imk if I'm wrong
25 feet equals how many inches
Answers
10 yd
17 yd
4 yd.
Find the surface area of the prism
Answers
The surface area of the rectangular prism is 502 mm²
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
The surface area of the prism = 2(8 mm * 13 mm) + 2(8 mm * 7 mm) + 2(7 mm * 13 mm) = 502 mm²
The surface area is 502 mm²
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5. Usa el método de cocientes parciales para hallar 1,032 ÷ 43.
Answers
the answer for the question is 24
.
Which correctly shows the title of a movie?
"In an Old House"
In an Old House
Answers
Answer:
The answer to your question is A "In an Old House" I hope this helps
Sorry if I am wrong
Answer: It would be "In an Old House"
Step-by-step explanation:
s is inversely proportional to t . When s = 0.9 , t = 2 Work out t when s = 30
Answers
Hope you will understand
Answer:
Step-by-step explanation:
we can assume that s=k/t,k is unknown constants,0.9=k/2 >> k=1.8,so
30=1.8/t >> t=0,06
thirty 5 points for this answer. no links.
4(a-2) = 2(a-4) + 2a
Answers
Answer:
a = 0
Step-by-step explanation:
4(a-2) = 2(a-4) + 2a
4a - 8 = 2a - 8 + 2a
4a - 2a - 2a = -8 + 8
0 = 0
This has infinitely many solutions.
Step-by-step explanation:
Any number you put for a would work to make them equal. Feel free to try it.
Write an equation of the line with the given slope, m, and y-intercept (0,b).
m = 2, b = 1
Answers
Answer:
\(\boxed {\boxed {\sf y=2x+1}}\)
Step-by-step explanation:
Equations of line are written in slope-intercept form, or
\(y=mx+b\)
where m is the slope and b is the y-intercept. We know that the slope is 2 and the y-intercept is 1, because we are given:
\(m=2 \\b=1\)
Substitute the values into the formula.
\(y=2x+1\)
The equation of the line is y=2x+1
If I have $1,050 dollars, and I want to buy something 6 times for $45 dollars, how much times can I buy it until I run out of money?
Answers
Answer:
140
Step-by-step explanation:
here,
You have 1050
now
$1050(45×6)
=140 items
Find the x-coordinates of the two points on the curve
y=x-1/x at which the tangent is parallel to the straight line 4y= x + 8. (4 marks)
Answers
Answer: x = {-2, 2}
Step-by-step explanation:
Tangent means it is touching. Find the intersection of the two equations.
Solve the linear equation for y, then set the two equations equal to each other.
\(4y=x+8\qquad \rightarrow \qquad y=\dfrac{x+8}{4}\)
\(\dfrac{x-1}{x}=\dfrac{x+8}{4}\\\\\\\text{Cross multiply and solve for x:}\\4(x-1)=x(x+8)\\4x-4=x^2+8x\\.\qquad 0=x^2+4x+4\\.\qquad 0=(x+2)^2\\.\qquad 0=x+2\\.\qquad x=-2\)
To find the next point that is parallel to the linear equation and tangent to the curve, we need to use the linear equation with slope (m) = \(\dfrac{1}{4}\) and unknown b.
Let's try b = 0, then the equation of the linear equation is: \(y=\dfrac{1}{4}x\)
Set the equations equal to each other and solve for x:
\(\dfrac{x-1}{x}=\dfrac{x}{4}\\\\\\4(x-1)=x^2\\4x-4=x^2\\.\qquad 0=x^2-4x+4\\.\qquad 0=(x-2)^2\\.\qquad 0=x-2\\.\qquad x=2\)
This works!!! If it didn't work, we would have tried other values for b until we arrived at a solution.
6.Write the equation in slope-intercept form for the line that passes through the given pointand is perpendicular to the given equation.5x + 3y = -21 and passes through (-5, 1)
Answers
Let us first solve for the slope (m) of the perpendicular line.
\(\text{ 5x + 3y = -21}\)\(\text{ 3y = -5x - 21}\)\(\text{ y =}\frac{-5x\text{ -21}}{3}\)\(\text{ y = -}\frac{5}{3}x-7\)The slope of the perpendicular line is -5/3.
Thus, for the slope of the line, we get,
\(\text{ m}_{\perp}\text{ = }\frac{-5}{3}\)\(\text{ m = }\frac{3}{5}\)Let us solve for the value of b with the given value of slope (m) = 3/5 and (x,y) = (-5,1).
\(\text{ y = mx + b}\)\(1\text{ = (}\frac{3}{5})(-5)+b\)\(1\text{ = -1 + b ; b = 1 + 1 = }2\)Let's now make the equation of the line using Slope-Intercept Form,
Given, m = 3/5 and b = 2
\(\text{ y = mx+b}\)\(\text{ y = (}\frac{3}{5})x\text{ + 2}\)\(\text{ y = }\frac{3}{5}x\text{ +2}\)A projectile is fired straight up from ground level. After t seconds, its height above the ground is s feet, where s= - 16t² + 128t
For what time period is the projectile at least 192 feet above the ground?
Select the correct choice below and fill in the answer boxes to complete your choice.
OA. For the time period between (and inclusive of)
(Simplify your answers.)
OB. For the time period between (and not inclusive of)
(Simplify your answers.)
seconds and
seconds and
seconds the projectile will be at least 192 ft above the ground.
seconds the projectile will be at least 192 ft above the ground.
Answers
For the time period of the projectile at least 192 feet above the ground is between 2 second and 6 second
Since s=128t-16t2, we want to know the 2 times where 128t-16t2=192, as those two values will be the begin and end times of the interval in question. We can rewrite that equation in standard quadratic equation form:
16t2-128t+192=0 or, simplified, 8t2-64t+96=0
or t2-8t+12=0
since it is now in quadratic form, we can solve using the quadratic formula:
t = 2 and 6
So the time period from approximately 2 second and 6 second has the projectile above 192 feet.
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Please help me with this question
Answers
Answer:
The cost of a card is 4 dollars
The cost of a baseball is 18 dollars
Step-by-step explanation:
13c + 9b = 214
3c + 8b = 156
(13c + 9b = 214) × -8
( 3c + 8b = 156) × 9
-104c - 72b = -1712
27c + 72b = 1404
-------------------------------
-77c = -308
÷-77 ÷-77
--------------------
c = 4
3c + 8b = 156
3(4) + 8b = 156
12 + 8b = 156
-12 -12
----------------------
8b = 144
÷8 ÷8
------------------
b = 18
I hope this helps!
7.) According to the quantity equation, changes in the money supply will lead directly to
changes in the price level if velocity and real GDP are unaffected by the change in the
money supply. Will velocity change over time? What factors might lead to changes in
velocity? Are those changes related to changes in the money supply?
Answers
According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.
For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.
For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.
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Marilee buys 8 bottles of apple juice for $10.What is the unit price of each bottle
Answers
Answer:
$1.25
Step-by-step explanation:
divide 10/8
equals $1.25
1.25x8=$ 10
Answer:
0.8 cents
Step-by-step explanation:
Add. (2x^4+c^3-4^2+3)+(4x^4-2x^3-x^2+10x+2)
Answers
The value of (2x^4+x^3-x^2+3)+(4x^4-2x^3-x^2+10x+2) is 6x⁴-x³-2x²+10x+5
What is addition of expression?Expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
Adding two expressions together requires to collect like terms. like terms are terms with similar variable. For example, in 2x²+6x+x² , x² and 2x² are like terms.
Therefore, 2x⁴+x³-x²+3 + 4x⁴-2x³-x²+10x+2 can be simplified as;
2x⁴+4x⁴+x³-2x³-x²-x²+10x+2+3
= 6x⁴-x³-2x²+10x+2
therefore, the value of 2x⁴+4x⁴+x³-2x³-x²-x²+10x+2 is 6x⁴-x³-2x²+10x+5.
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PLEASE HELP IM STUCK ON A PROBLEM....
Answers
Answer:
Number line A.
Step-by-step explanation:
|-5x| - 11 = -1
Add 11 to both sides.
|-5x| = 10
-5x = 10 or -5x = -10
x = -2 or x = 2
Answer: Number line A.
what number has the prime factorization 2 6th * 5 6th show your work
Answers
Start dividing the number by the smallest prime number i.e., 2, followed by 3, 5, and so on to find the smallest prime factor of the number.
Again, divide the quotient by the smallest prime number
The set of all numbers greater than 2
Answers
$33 for 6 sandwiches find the unit rate
Answers
Answer:
$ 5.5
Step-by-step explanation:
$33 for 6 sandwiches.
For 1 sandwiche = ?
Now,
= 33 ÷ 6
= $5.5
Thus, the unit rate is $5.5