Answer:
a) g(f(x)) = (sqrt(x - 5))^2 + 1 = x - 5 + 1 = x - 4
b) For f(x), domain is x - 5 >= 0, or x >= 5, so for g(f(x)), the domain is
x >= 5
17. The amount of time, t, in seconds, it takes an object
to fall a distance
Answer:
C) 3.9 sec
Step-by-step explanation:
You have given the time formula; t = square root of d divided by square root of 4.9.
Well d = 75m
square root of 75 = 8.66
square root of 4.9 = 2.2
8.66 / 2.2 = 3.9363...
t = 3.9 sec
Hope this was hopeful! (give 5 stars if you understood) :) Good luck
Please help with this
Answer:
D
Step-by-step explanation:
∠ ABC = ∠ ABD + ∠ DBC , that is
85° = ∠ ABD + 61° ( subtract 61° from both sides )
24° = ∠ ABD → D
Answer:
D
Step-by-step explanation:
Maria, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a new clerk, needs 15 hours to do
the same job. Working together, how long will it take them to fill the order?
Answer:
≈ 7 hours
Step-by-step explanation:
Maria can do full job in 13 hours,
she can do 1/13 part of job in one hour
Felipe can do full job in 15 hours,
he can do 1/15 part of job in 1 hour
Together they can do:
1/13 + 1/15= 28/13*15= 28/195 of job in 1 hourto complete full job they need:
1 ÷ 28/195= 195/28 ≈ 7 hoursAnswer:
7 hr 10 min 12 seconds
Step-by-step explanation:
Maria, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a new clerk, needs 16 hours to do the same job. Working together, how long will it take them to fill the order?
------------------------
Maria rate = 1/13 job/hr
-----
Felipe rate = 1/16 job/hr
----
Together rate = 1/x job/hr
-------
Equation:
rate + rate = Together rate
1/13 + 1/16 = 1/x
----
16x + 13x = 13*16
------
29x = 13*16
Help ! Help ! Help ! Fast pls
Answer:
I think you'll have to graph that
Step-by-step explanation:
Can someone please help me
This Is A Linear Graph Because Quadratic Graphs Are Curved
can someone answer this
Answer:
21
Step-by-step explanation:
If the number is a multiple of 3 but not of 6, the number must be odd. The only odd multiple of 3 between 17 and 25 is 21, meaning that this is the answer. Hope this helps!
Answer:
21 is the answer.
Step-by-step explanation:
The numbers between 17 and 35 are 18, 19, 20, 21, 22, 23, and 24.
Multiples of 3 are = 18, 21, 24,
Not multiples of 6 = 21
I eliminated the numbers until I got the answer.
Hope this helped!
solve the system of equations given below pleasee i need to pass
Answer:
B.(-1,10)
Step-by-step explanation:
Hope this helps
What steps should be taken to calculate the volume of the prism? Select three options.
24 ft
6 ft
oft
ft
Use the formula A = bh to find the area of the base.
Use the formula A= bh to find the area of the base.
Use the formula V=Bn to find the volume of the prism.
Answer:
the formula is V=BH
Step-by-step explanation:
if the prism is rectangular prism : it has three dimensions then V=length * height * width
V= L*H*W or V= base*H
or V=BH
in your question it does not show V=BH maybe it is misprint
The volume of the prism is V = Bh , where B is the base area and h is the height of the prism
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
Identify the shape of the base of the prism: The base of the prism can be any polygon, such as a triangle, rectangle, or hexagon. It is important to identify the shape of the base because the formula for calculating the area of the base will depend on the shape.
Calculate the area of the base: Once the shape of the base has been identified, calculate the area of the base using the appropriate formula. For example, if the base is a rectangle, the area would be calculated as length x width.
Multiply the area of the base by the height of the prism: Once the area of the base has been calculated, multiply it by the height of the prism to get the volume. The height is the perpendicular distance between the two parallel bases of the prism.
Hence , by following these three steps, you can calculate the volume of a prism regardless of its shape, as long as you can identify the shape of the base and calculate its area.
To learn more about volume of prism click :
https://brainly.com/question/11336446
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Think about the challenges facing the peace
process. Which of these problems threatened
Wilson's point?
Germany continued to attack American
shipping on the oceans.
The Allies were already making secret
alliances and plans.
The other heads of state refused to meet with
Wilson.
Answer:The allies were already...
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Let x represent the number of pens, and let y represent the number of pencils. Part A Select the equation that describes the number of club pens and pencils that the glee club can buy. A. 0.15x + 0.75y = 90 B. 0.75x + 0.15y = 90 C. 0.90(x + y) = 90 Part B What is the greatest number of each type of writing tool that the club can buy? the greatest number of pens =? the greatest number of pencils =?
Answer:
Part A - 0.90(x + y) = 90 Part B - Pencils
HELP!! WILL GIVE BRAINLIEST! EASY!!
Answer:
Option 2
Step-by-step explanation:
Mid point theorem:
The line segment joining the mid point of two sides of a triangle, is parallel to the third sides and this line segment is half the length of the third side
PLSS HELP SOON Is the sequence arithmetic? (Yes or no) If yes, please also give its common difference. 14) -2.8, -2.2, -1.6, -1.0
Answer:
The sequence is an arithmetic sequence.
Common difference = 0.6
Step-by-step explanation:
Given
-2.8, -2.2, -1.6, -1.0
Required
State if it's an arithmetic progression
Also state its common difference
To know if a sequence is arithmetic or not, we simply check for common difference
Common difference is calculated by subtracting a lower term with its immediate higher time;
In other words
[tex]Common difference = T_2 - T_1 = T_3 - T_2 = T_4 - T_3 = ......[/tex]
Where T represent Term and the number represent their positions;
So, from the given above
[tex]T_1 = -2.8\\T_2 = -2.2\\T_3 = -1.6\\T_4 = -1.0[/tex]
Calculating [tex]T_2 - T_1[/tex]
[tex]T2 - T1 = -2.2 - (-2.8)\\T2 - T1 = -2.2 + 2.8\\T2 - T1 = 0.6\\[/tex]
Calculating [tex]T_3 - T_2[/tex]
[tex]T_3 - T_2 = -1.6 - (-2.2)\\T_3 - T_2 = -1.6 + 2.2\\T_3 - T_2 = 0.6[/tex]
Calculating [tex]T_4 - T_3[/tex]
[tex]T_4 - T_3 = -1.0 - (-1.6)\\T_4 - T_3 = -1.0 + 1.6\\T_4 - T_3 = 0.6[/tex]
Notice that all the above workings gave the same result;
This shows that the sequence is an arithmetic sequence.
The result of each workings above is the common difference
Common difference = 0.6
Find the x-intercept and y-intercept
from the following linear equation:
6x – 9y = 54
x - intercept ([?], [])
y - intercept ([],[])
Answer:
X=(9,0)
Y=(0,-6)
Subtract 5/8- 5/12 Enter your answer below as a fraction in lowest terms, using
the slash (/) as the fraction bar.
Answer:
5/8 - 5/12 = (5×3/8×3)-(5×2/12×2)15-10/24 = 5/24
Step-by-step explanation:
first find out the LCM ( Lowest Common Multiple ) of the denominators ( here:24 ) and multiply the denominator and numerator , both with the required no. to make the denominator as equal as the LCM [( 5×3/8×3 ) - ( 5×2/12×2)] and subtract / add the numerators. the answer you get is the correct answer.
hope that is helpful for your future.
best of luck
Which expression can be used to check the answer to 56+(-14)=n?
Answer: n = 42
Step-by-step explanation:
56 - 14 = 42
If + and - are right next to each other, the + cancels out.
Answer:
i agree with Thetides5 the answer is n=42
Step-by-step explanation:
plz give me a brainliest i been working so hard to get a brainliest but no one has give me me one so plz can u give me one??? And hope this helps :D
Which property of polynomial addition says that the sum of two polynomials
is always a polynomial?
O A. Commutative
O B. Multiplication property of equality
C. Distributive
D. Closure
SUBMI
Answer:
The property of polynomial addition that says that the sum of two polynomial is always a polynomial is called closure property of addition or under addition.
Polynomials are closed under addition because when you add polynomials the letters and their exponents do no change, you just add the coefficients of the like terms (those with same letters raised to the same exponents), so the result will be other polynomial of the same kind, except for the terms that cancel (positive with negative) which does not change the fact that the result is still a polynomial.
In mathematics the closure property means that the result of an operation over a kind of "number" will result in a "number" of the same kind.
The figure shown below is a rectangle. Give the angle value (numerical, not the letters)
Answer:
61
Step-by-step explanation:
Please Help!!! Answer will get brainliest!!
Consider the expression.
What is the value of the expression if m = –5 and n = 3?
-24/25
-4/25
4/25
24/25
Answer:
4/25
Step-by-step explanation:
First move everything so they have positive exponents
4n²/9m²
4(3)² / 9(-5)² = 36/225, now simplify 4/25
Write an equation for the nth term of the given geometric sequence
-12,-36,-108...an
Answer:
nth term of the geometric sequence
an= -12*3^(n-1)
Step-by-step explanation:
First term
a= -12
Second term
ar= -36
-12r=-36
r=-36/-12
=3
Third term
ar^2= -108
-12(3)^2
= -12(9)
= -108
nth term of the geometric sequence
an=ar^(n-1)
= -12*3^(n-1)
Joe was promised $22.00 and a new CD for taking care of a neighbor’s dog for 7 days. But when the neighbors came home after just 5 days, Joe got the CD and only $14.00. What was the value of the CD?
Answer:
Since Joe did not get the whole $22 and only $14, then it would only be fair to say that the CD was worth $8.
Step-by-step explanation:
Write down the example of converting the two numbers to the same exponent:
We conclude that the _____ atom is the greater.
Answer:
2'nd atom
Step-by-step explanation:
There are two atoms one weighs
6.022*10^-29 grams
another weighs
1.66*10^-17 grams
Which atom has a greater mass?
Work:
-29-(-17)=-12
-29 is 12 decimal places smaller than ^-17
0.000000000006.022*10^-17=1.66*10^-17
0.000000000006.022=1.66
0.000000000006.022<1.66
atom 1 < atom 2
We can conclude that the second atom is the greater.
Identify the solution to the system of linear equations
Y=-x-2
Y=x-6
Answer:
(-4, 2)
Step-by-step explanation:
By looking at the graph, the solution to the system of linear equations will always be where they intercept. If they both are the same line it means that there are infinite solutions, and if they don't intercept at all, that means there are no solutions.
f(x)=3x−4g(x)=−x2+2x−5h(x)=2x2+1j(x)=6x2−8xk(x)=3x2−x+7 Calculate (fh)(x).
Answer:
( f h ) (x) = 6 x² - 1
Step-by-step explanation:
Step(i):-
Given f(x) = 3 x - 4
g (x) = −x²+2 x−5
h (x) = 2 x² + 1
j (x) = 6 x + 2 - 8 x
K (x) = 3 x² - x + 7
Step(ii):-
( f h ) (x) = f ( h (x)) = f ( 2 x² + 1 )
= 3 (2 x² + 1 ) - 4
= 3 ((2 x² ) + 3 - 4
= 6 x² - 1
Final answer:-
∴ ( f h ) (x) = 6 x² - 1
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 125 and a standard deviation of 10. What percentage of males in the town that have a systolic blood pressure higher than 125, to the nearest tenth?
Answer:
Average systolic blood pressure = x = 130
Standard deviation = s = 6
Step-by-step explanation:
A company has 3 staff positions to fill. If there are 14 candidates, how many outcomes
are possible?
Answer:
364
Step-by-step explanation:
14!/(3!(14-3)
Answer:
364
Step-by-step explanation:
You need to choose 1 out 14 for the first position, then 1 out of the 13 left for the second position, then 1 out the 12 left for the third position.
That gives 14 * 13 * 12 = 2184.
If order mattered, that would be the answer, but in this case, since order does not matter, the 3 positions can be filled in 3 * 2 * 1 ways = 6 ways.
2184/6 = 364
The volume of a stack of identical circular drink coasters, each 1 centimeter thick, can be found using the function V(r)=8pi r^2 where r is the radius of a coaster. What does the constant 8 in the function represent?
Answer:
The constant 8 represents the height of the stack and hence the number of coasters. (It represents the number of coasters.)
Step-by-step explanation:
The formula for finding the volume of a cylinder is
V = πr²h
If you we take π =3.14 and h = 1 cm, as given in the question, then we can rewrite the formula for the volume of one coaster as
V = 3.14 * r²
But the formula in this question is
V(r) = 8*3.14 * r² so this means that there are 8 coasters here hence the formula for one coaster being multiplied by 8.
does 4 1/2 times 2 3/4 equal 11 11/48?
4 1/2 times 2 3/4 does not equals to 11 11/48.
It actually equals to 12 3/8
hope it helps
Good luck on your assignment
Answer:
No,it's wrongThe correct answer is
[tex] = 12 \frac{2}{8} \\ = 12 \frac{1}{4} \\ [/tex]
Step-by-step explanation:
[tex]4 \frac{1}{2} \times 2 \frac{3}{4} \\ \frac{9}{2} \times \frac{11}{4} \\ = \frac{99}{8} \\ = 12 \frac{2}{8} \\ = 12 \frac{1}{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Please answer now ASAP!! I have this assignment at school my teacher wants us to do but I don’t get it. Answer both questions with work!
Answer:
Step-by-step explanation:
1. If m<2 = 32°
the measure for m<4 is 148°
x + 32° = 180°
x = 148°
measure of m<6 = 148° alternate interior of m<4
2. If m<1 = 65°, then m<2 and m<3 are also 65°
Both m<2 and m<3 are vertical angles therefore they are 65°
m<1 and m<2 are corresponding angles therefore they are 65°
Please help me again lol I really need to get to a passing grade
The given Equation y=-1/3x+7 represents the table on the left side because when x = 0 y = 7. The equation for the table on the left is y=1/3x+5 because when x = 0 y = 5 and when y goes up 1 x goes up 3. The solution is (3, 6) because the only point in both tables is (3, 6)
Answer:
y = (1/3)x + 5
Step-by-step explanation:
y = (-1/3)x + 7 matches the second table (the table on the right side). Note that if x = 0, y = 7, and that this point, (0, 7) is found in the second table. The other table shows that when x = 0, y = 5; this point, (0, 5), is the y-intercept of the function whose values are in the first table. To finish this work, we need onlyl find the slope of the function represented by the first table:
y = mx + b becomes 6 = m(3) + 5, or 1 = 3m, or m = 1/3.
The the function represented by the first table is y = (1/3)x + 5.
For the function f(x) = 3(x − 1)2 + 2, identify the vertex, domain, and range. The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2. The vertex is (1, 2), the domain is all real numbers, and the range is y ≤ 2. The vertex is (−1, 2), the domain is all real numbers, and the range is y ≥ 2. The vertex is (−1, 2), the domain is all real numbers, and the range is y ≤ 2.
Answer:
The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2
Step-by-step explanation:
The functions given to us is:
f(x) = 3(x - 1)² + 2
Domain:
As there is no limitation of x, all value of x are possible. So
Domain = All real numbers
Range:
For all values of x, the minimum value of y is 2 calculated at x = 1. The rest of the values are greater than 2. So,
Range = y ≥ 2
Vertex:
Simplifying the function:
f(x) = 3(x² + 1² - 2(x)(1)) + 2
f(x) = 3(x² - 2x + 1) +2
f(x) = 3x² - 6x + 3 + 2
f(x) = 3x² - 6x + 5 (ax² + bx + c)
where a = 3, b = -6, c = 5
x-coordinate of Vertex is given as:
Vertex(x) = -b/2a = 6/2(3)
Vertex(x) = 1
Substitute x=1 in the function, we get
Vertex(y) = 2
So Vertex is at (1,2)
Answer: A. The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
Step-by-step explanation:
I just took the test and A. is the correct answer!
Good Luck!!
-Aspyn