Answer:
9
Step-by-step explanation:
f(x) = x − 7
g(x) = x^2
Find g(4) = 4^2 = 16
Then find f(g(4)) = f(16) = 16 -7 = 9
Answer:
f(g(4)) = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = x - 7
g(x) = x²
Step 2: Find f(g(4))
Substitute in x [Function g(x)]: g(4) = 4²Evaluate exponents: g(4) = 16Substitute in x [Function f(x)]: f(g(4)) = 16 - 7Subtract: f(g(4)) = 9Choose the correct answer A, B, C or D.
Half of the perimeter of a rectangular piece of land is equal to 21 m
and its length is twice its width. Given that 1 m2 of the piece of land
costs 17.25 million VND. If someone wants to buy it, he or she has to
pay:
А
1621.5 million VND
B
1690.5 million VND
Sc
С
1725 million VND
D
1759.5 million VND
Answer:
B. 1690.5 million VND
Step-by-step explanation:
Half of the perimeter of a rectangular piece of land is equal to 21 m
The full perimeter of the Land = 2 × 21m
= 42 m
Step 1
Find the Length and Width of the rectangle
Perimeter of a rectangle = 2L + 2W
Length is twice its width.
L = 2W
Hence:
42 = 2(2W ) + 2W
42 = 4W + 2W
42 = 6W
W = 42/6
W = Width = 7m
L = Length = 2W
L = 2 × 7
L = 14m
Step 2
Find the Area of the Land
Area of the rectangle = Length × Width
= 14m × 7m
= 98m²
Step 3
Given that 1 m² of the piece of land
costs 17.25 million VND. If someone wants to buy it, he or she has to
pay:
1m² = 17.25 million VND
98m² = x
Cross Multiply
1 m² × x = 98m² × 17.25 million VND
x = 1690.5 million VND
Option B is the correct answer
if r=1 and 0=5pi/6 what is the approximate arc length?
Answer:
B. 2.618 units
Step-by-step explanation:
the arc length = (5π/6) / 2π × 2×3.14×1
= 5/12 × 6.28
= 31.4/ 12
= 2.618 units
The arc length is = 2.618 units
what is arc length of a circle?Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc. Arc length is a fraction of the circumference of the circle.
Given : r=1, [tex]\theta[/tex]= 5π/6
Now, arc length
= [tex]\theta[/tex]/ 2π * 2πr
= (5π/6) / 2π × 2×3.14×1
= 5/12 × 6.28
= 31.4/ 12
= 2.618 units
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This question is very important I will give Brainliest for the correct answer!! It's just perimeter but I'm a little confused.
Volume How many fluid ounces are in each size?
1 cup = 8 oz. 1pint = 2 cups. 1 quart = 2 pints. 1 gallon = 4 quart
Half gallon = __________fl oz.
X 8. From the given Venn-diagram, list the elements of the following sets, a) U b) XU Y and XUY c) X Y and X d) X - Y and X-Y e) Y - X and Y - X 11 15
Answer:
where is the Venn diagram plz insert Venn diagram then I should solve
A cone has a height of 30 centimeters and a radius of 20 centimeters. In terms of , what is the volume of the cone?
Answer:
[tex] V_{cone} = 4000\pi \: {cm}^{3} [/tex]
Step-by-step explanation:
Height of the cone (h) = 30 cm
Radius of the cone (r) = 20 cm
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \pi \: {(20)}^{2} (30) \\ \\ = \pi(400)(10) \\ \\ V_{cone} = 4000\pi \: {cm}^{3} [/tex]
Please help me solve my problem!!!
Answer: I think it is A or C
hope this helps!
Step-by-step explanation:
Pls answer this correct ;( don't answer it nonsenses. :) Thanks!
A. in 20 tries, Riza Beat Jennifer 5 times. What is the probability that Jennifer won?
B. In 50 tries, Mark won over Martin 26 times. What is the probability that Mark Won?
Answer:
jennifer won 15 time and mark won 24
if the answer is wrong i am really sorry
If q||r, solve for x
Answer:
12
Step-by-step explanation:
Since they are parallel then
(7x - 8) + (11x - 28) = 180
18x - 36 = 180
18x = 216
x = 12
Can someone please help I really need these points
Given:
Two chords intersect each other inside the circle.
To find:
The value of x.
Solution:
According to intersecting chords theorem, if two chords intersect each other inside the circle, then the product of two segments of one chord is equal to the product of two segments of second chord.
In the given circle,
[tex]AE\times CE=BE\times DE[/tex]
[tex](3x-11)\times (5x-4)=(x+2)\times (-x+17)[/tex]
[tex]15x^2-12x-55x+44=-x^2+17x-2x+34[/tex]
[tex]15x^2-67x+44+x^2-15x-34=0[/tex]
[tex]16x^2-82x+10=0[/tex]
Divide both sides by 2.
[tex]8x^2-41x+5=0[/tex]
Splitting the middle term, we get
[tex]8x^2-40x-x+5=0[/tex]
[tex]8x(x-5)-1(x-5)=0[/tex]
[tex](8x-1)(x-5)=0[/tex]
Using zero product property, we get
[tex](8x-1)=0[/tex] or [tex](x-5)=0[/tex]
[tex]x=\dfrac{1}{8}[/tex] or [tex]x=5[/tex]
For [tex]x=\dfrac{1}{8}[/tex], the side AE is negative. So, [tex]x=\dfrac{1}{8}[/tex] is not possible.
Therefore, the required solution is [tex]x=5[/tex].
what is the value of w to the nearest degree
Lift tickets at the resort cost $28 per day for adults and $19
per day for children under 12. The Scotts skied for 5 days.
A How much did the Scotts pay for lift tickets each day?
B. How much did the Scotts pay for lift tickets altogether?
Answer:
No solution is possible
Step-by-step explanation:
You didn't indicate the number of adults and children.
CAN SOMEONE PLEASE HELP ME WITH THIS?
Answer:
It would be 4 or C.
Step-by-step explanation:
Hope this helps!
Good Luck!
:)
Select the correct measurement of the angle shown on the protractor. a protractor showing an angle with one side lined up with the base line and the other side going through the fifth tick mark after fifty five degrees 110° 120° 50° 60°
Answer:
110°
Step-by-step explanation:
Each tick line in a protractor shows 10°. So the next is 110° inclined.
Answer:
110 degrees hope this helps
Step-by-step explanation:
A+b=25
What is the value of 2a + 2b + 4
Answer:
THE ANSWER IS 54
Step-by-step explanation:
? What is the solution of a system defined by 5x + 2y = 30 and -5x + 4y = 0? 0 (0, 30) O (6, 15) O (4,5) 0 (6,0)
Answer:
(4,5)
Step-by-step explanation:
Hi there!
We are given the system of equations:
5x+2y=30
-5x+4y=0
and we need to find the solution
there are 3 ways to solve a system of equations, but let's use the elimination method, where we will add the systems together to clear one variable out, solve for the other variable, and use the value of the solved variable to find the other variable
When we clear a variable, the coefficients need to be opposites (ex. 2 and -2). In this case, the coefficients in front of x are 5 and -5 in the first and second equation respectively
5x+2y=30
-5x+4y=0
add the equations together
6y=30
divide both sides by 6
y=5
we found the value of y
now we need to find the value of x
substitute 5 as y into either one of the equations (ex. the first one) to solve for x
5x+2(5)=30
multiply
5x+10=30
subtract 10 from both sides
5x=20
divide both sides by 5
x=4
so the answer is x=4, y=5; as a point, it's (4,5)
Hope this helps! :)
3.9 X 7 =. hurry pls
Answer:
27.3
Step-by-step explanation:
3.9 x 7
=>(4 - 0.1) x 7 (USING DISTRIBUTIVE PROPERTY)
=>28 - 0.7
=>27.3
Identify the range of the function shown in the graph.
Answer: Choice D) [tex]0 \le y \le 5[/tex]
This is because the smallest y can get is y = 0, while the largest it can get is y = 5. It can be anything in between these y values as well.
Visually, we look for the lowest and highest points. The range is the set of all possible y outputs. In contrast, the domain is the set of all allowed x inputs.
Answer:
in my opinion it's A.. hope it will help you.
Which of the following is the best estimate of 7/8? ( Answer ASAP )
Answer:
C
Step-by-step explanation:
just round up to nearest number and 7/8 is 0.87 so it coloser to 1 than half and the others are way to big.
What is the product of the 4th square number and the 4th square number
Answer:
4×4=16
Step-by-step explanation:
four squared is a two dimension polygon with a four equal side of four length unit.
Answer:
4×4=16
Step-by-step explanation:
PLS HELP ILL GIVE U BRAINLIST
A vector is 2.5 kilometers per hour at a bearing of of 50° West of North.
Find the magnitude of its vertical component.
lyl = v sin ©
A. lyl = - 1.9
B. lyl = 1.6
C. lyl = 2.5
D. lyl = 50°
B. |y| = 1.6
Step-by-step explanation:A sketch of the vector is attached to this response.
As shown, the vector lies on the second quadrant and its horizontal and vertical components are given by x and y respectively.
Where;
|x| = v cos θ -----------------(i)
|y| = v sin θ -----------------(ii)
and
v = magnitude of the vector = 2.5km/hr
θ = angle that the vector makes with the +x axis = 90° + 50° = 140°
To get the magnitude of the vector's vertical component
Substitute these values into equation(ii) as follows;
|y| = 2.5 sin 140°
|y| = 2.5 x 0.6428
|y| = 1.607
|y| ≅ 1.6 km/hr
Therefore, the vertical component of the vector has a magnitude of 1.6 km/hr.
Daine simplified the expression below.
8(1 + 2i) – (7 – 3i) = 1 + 5i
What mistake did Daine make?
Answer:
Step-by-step explanation:
8(1 + 2i) - (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)
= 8 + 16i -7 + 3i
= 8 - 7 + 16i + 3i
= 1 + 19i
Daniel forgot to multiply 2i by 8
Answer:
A , He did not apply the distributive property correctly for 8(1 + 2i).
on edge
Step-by-step explanation:
7. A quadrilateral has vertices W(-3,5), X(8,6),
Y(3,-6), and Z(-4,1). The preimage is mapped
onto quadrilateral W'X'Y'Z' through a dilation by
scale factor and then a reflection over the line
y = x. What are the coordinates of W'?
Answer:
W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
If a point A(x, y) is dilated by a scale factor of k, the new point is A'(kx, ky). If a point A(x, y) is reflected over line y = x, the new point is A'(y, x).
Given the vertices W(-3,5), X(8,6), Y(3,-6), and Z(-4,1). If it is dilated by a scale factor of 2/3, the new point is at W*(-6, 10/3), X*(16/3, 4), Y*(2, -4) and Z*(-8/3, 2/3). If it is then reflected over the line y = x, the new point is W'(10/3, 6), X'(4, 16/3), Y'(-4, 2) and Z'(2/3, -8/3).
Hihi , please help if able.
Step-by-step explanation:
the lines on the graph of inequality second option
consider the polygon shown. determine the value of y.
Answer:
70 degrees
Step-by-step explanation:
It's a whole 540 degrees
So y = 70 degrees
Which expression is equivalent to this quotient?
[tex]\frac{1}{x+5} \\\frac{x+3}{5x+15}[/tex]
Find the missing side!!
Answer:
the answer to the question is 12cm
There are 4 apples, 6 pear, 3 oranges and 9 peaches in a basket. You randomly pick three fruits from the basket. What is the probability that the first fruit is apple, the second is a peach and the last is not an orange if you do not replace the first and second fruits? Enter your answer as a decimal rounded to the nearest thousandth
The probability that the last one is not an orange if you do not replace the first and second fruits will be equal to 0.054.
What is Probability?Probability is calculated as the proportion of favorable events to all potential scenarios of an event. The proportion of positive results, or x, for an experiment with 'n' outcomes can be expressed.
As per the given information in the question,
The total number of fruits as per the data is,
4 apples + 6 pear + 3 oranges + 9 peaches = 21 fruits.
As per the statement, the first fruit is from 21 fruits.
There are 3 apples, so the probability will be,
3/21 = 1/7
The second fruit is from 20 fruits,
21 - 1 = 20
There are 9 peaches, so the probability will be,
9/20
The third fruit is from 19 fruits, so there are 16,
19 - 3 = 16
These fit the bill (not oranges), so the probability will be,
16/19.
So,
1/7 × 9/20 × 16/19
= 36/665
= 0.054
To know more about Probability:
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If the HCF and LCM of two numbers are 14 and 840 respectively . If one number is 42 Then find another one.
Answer:
HCF X LCM= product of two numbers
14 x 840 = 42 x other number
other number= 14x840/42=280
How many points need to be removed from this graph
so that it will be a function?
0 1 point
0 2 points
O 3 points
-5-4-3-2-1
112
O 4 points
Answer:
I think it is 2 points for this .