Answer:
(g∘f)(x) = -20x + 22
Step-by-step explanation:
(g∘f)(x) simply means g(f(x))
We are given;
f(x) = -5x + 4
g(x) = 4x + 6
Thus;
(g∘f)(x) = 4(-5x + 4) + 6
(g∘f)(x) = -20x + 16 + 6
(g∘f)(x) = -20x + 22
Eldrick manages wildlife samples for Ducks Unlimited. Two samples of duck populations at a migratory site are shown
in the table below. Which statement about the samples is true?
Duck Pond Samples
Sample 1
Mallard
Wood Duck
Green Wing Teal
American Widgeon
21
4
9
6
Sample 2
Mallard
Wood Duck
Green Wing Teal
American Widgeon
8
17
15
0
Eldrick can use both of these samples to find the mean frequency of each duck.
Eldrick should take another sample because there is too much variability in the two samples.
Eldrick should use only the first sample to find the mean frequency of each duck.
Eldrick should use only the second sample to find the mean frequency of each duck.
Answer:
Eldrick can use both of these samples to find the mean frequency of each duck.
Step-by-step explanation:
Given
See attachment for samples
Required
Determine which is true
Reading through the options, we can see that Eldrick needs to evaluate the mean frequency of both samples.
To do this, both samples have to be put into consideration in order to arrive at the right value.
Considering the options, we can conclude that (a) is correct.
Answer:
B
Step-by-step explanation:
the answer is B cause I did A and it was wrong trust me, and have a good day
using trig to solve for missing angle
Answer:
x = 14.0902 (After rounding to the nearest ten-thousandth)
Step-by-step explanation:
Using the bottom angle to solve x, the best option to use would be sine as we have the length for the opposite leg. Then we do the following:
Sin(69) = Opp/Hyp
Sin(69) = 14/x
0.9336 = 14/x
0.9336(x) = 14/x(x)
0.9336x = 14
0.9336x/0.9336 = 14/0.9936
x = 14.0902
Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths of the sides.
Answer:
(I'll leave cm out to save space and time in the answer)
the perimeter is 500, there are 5 sides. so on average a side will be 100.
that's already the important key idea.
it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).
repeat this for the 1. and 5. side and we get:
80
90
100
110
120
whats the figures and how do I find the area?
Answer:
This is trapezium.
Area of this figure =1/2h(d1-d2)
1/2×5(14-8)
=30/2
=15cm^2
Can someone please help me with these work rate questions!
Answer:
1/8 rooms per hour
Step-by-step explanation:
We are given that Beatrice can wallpaper 1 room in 8 hours. The work rate is how many rooms Beatrice can wallpaper in one unit of time (in this case, one hour).
Another way of saying 1 room in 8 hours is 1 room/8 hours. We want to find the rate over one hour, so we want to make the denominator ( in hours) equal to 0.
With fractions, we can divide/multiply both the numerator and denominator by the same amount, and still keep the fraction. Therefore, we want to make 8 hours 1 hour by multiplication or division. Since anything divided by itself is equal to 1, we can say that 8/8 is equal to 1. Therefore, we can divide both the numerator and denominator by 8 to get
(1 room/8) = (8 hours / 8)
= (1/8 rooms) / 1 hour
Therefore, the work rate is 1/8 rooms per hour
juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function f(x)=10(0.98)x to represent the amount of radioactive material that will remain after x hours in the container.
Rounded to the nearest tenth, how much radioactive material will remain after 10 hours?
0.8 units
1.3 units
8.2 units
9.8 units
Answer:
8.2 units
Step-by-step explanation:
For radioactive decay, the amount should decrease over time. Given the function:
f(x) = 10(0.98[tex])^{x}[/tex]
We substitute the time of x = 10 hours:
f(10) = 10(0.98[tex])^{10}[/tex]
f(10) = 8.17
Round 8.17 to 8.2.
Therefore 8.2 units will remain after 10 hours.
What is the length of leg s of the triangle below?
90°
45
6
172
45
O
A. 72
B. 5
C. 3
O O O O a
D. 6
E. 3.2
F. 36
Answer:
6
Step-by-step explanation:
It's a 45-45-90 triangle, it has two similar sides, since it has two similar angles, which are both 45°
so, side = s = 6
Answered by GAUTHMATH
The length of the leg s of the triangle below is 6.
Option D is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Applying the Pythagorean theorem in the triangle.
√72² = s² + 6²
72 = s² + 36
s² = 72 - 36
s² = 36
s = √36
s = 6
We can also say that,
Opposite angles of equal sides are equal
So,
s = 6.
Thus,
The length of the leg s of the triangle below is 6.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ7
Find the equation of the line that is perpendicular to y=1/6x+3
and contains the point (-3,23).
y = [?]x + [?]
Answer:
y = -6x + 6
Step-by-step explanation:
The general equation of a line is
y = mx + b
where m is the slope and b is the y-intercept
The slope in the first equation is 1/6
Mathematically, when two lines are perpendicular, the product of their slopes is -1
1/6 * m2 = -1
m2 = -6
So we have the equation as;
y-y1 = m(x-x1)
y-23 = -6(x + 3)
y = -6x -18 +23
y = -6x + 6
One-third of a number when subtracted from double of itself is equal to 10. Find the number.
2x−x3=10
X=?
Answer:
number is 6
Step-by-step explanation:
let the number be x , then double the number is 2x and
2x - [tex]\frac{1}{3}[/tex] x = 10 ( multiply through by 3 to clear the fraction )
6x - x = 30
5x = 30 ( divide both sides by 5 )
x = 6
That is the number is 6
HELP ME PLS ITS PYTHAGOREAN THEOREM
Answer:
82
Step-by-step explanation:
You are looking for the hypotenuse.
c = ?
a = 80
b = 18
c^2 = a^2 + b^2
c^2 = 18^2 + 80^2
c^2 = 324 + 6400
c^2 = 6724
sqrt(c^2) = sqrt(6724)
c = 82 inches
Answer:
[tex]\boxed {\boxed {\sf 82 \ inches}}[/tex]
Step-by-step explanation:
We are asked to find the length of the rake.
We know it hits the wall 80 inches above the ground and the bottom of the rake is 18 inches away from the wall. The point where the top of the rake hits the wall and the distance away from the wall are the legs that form a right angle and the rake is the hypotenuse.
We want to find the hypotenuse or the length of the rake. We will use the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
In this theorem, a and b are the legs and c is the hypotenuse.
The length of the legs are 80 inches (distance from ground to top of rake) and 18 inches (distance from wall to bottom of rake). The hypotenuse is unknown.
a= 80 in b= 18 inSubstitute the known values into the formula.
[tex](80 \ in)^2+(18 \ in)^2= c^2[/tex]
Solve the exponents.
(80 in)²= 80 in*80 in= 6400 in²(18 in)²= 324 in²[tex]6400 \ in^2+ 324 \ in^2= c^2[/tex]
Add.
[tex]6724 \ in^2=c^2[/tex]
We are solving for c, the hypotenuse, so we must isolate the variable. It is being squared. The inverse of a square is a square root, so we take the square root of both sides.
[tex]\sqrt {6724 \ in^2}= \sqrt{c^2}[/tex]
[tex]\sqrt{6724 \ in^2}=c[/tex]
[tex]82 \ in =c[/tex]
The length of the rake is 82 inches.
Which of the following represents the set of possible rational routes for the polynomial shown below
2x^3+5x^2-8x-10=0
Answer:
The given polynomial is,
2x³+5x²-8x-10=0
all possible roots of a polynomial,
ax³+b²+c x +d=0 ← all possible factors of ration (d/a)
Therefore, eq (1), all possible factors are the factors of ratio (-10/2)
which are, B) { ± 1, 1/2, ± 2, ± 5/2, ±5, ± 10}
OAmalOHopeO
which algebraic expression represents this word description the quotient of six and the sum of a number and eight
In the PQRS triangle PQ=QR, QR side extended to S Show that PQ+RS=QS. -S Q R
pls explain too
Answer:
Step-by-step explanation:
from the picture:
QP = QR
and
QR = RS
so
PQ + RS = QS
write the equation in standard form. y=4/7x+3
Answer:
4x-7y = -21
Step-by-step explanation:
1. Move 4/7x to the other side
-4/7x+y=-3
2. Multiply both sides by -7
4x-7y=-21
3x-7y=28 is it in standard form
HELPPP!!
Rate the following bank accounts from most to least liquid: CD, savings account, checking account, money market
account
a. CD, savings account, checking account, money market account
b. Savings account, checking account, CD, money market account
C. CD, money market account, savings account, checking account
d. Checking account, savings account, money market account, CD
Please select the best answer from the choices provided
OA
OB
О С
OD
Answer:
C
Step-by-step explanation:
There isn’t one
| 3 x - 2 | = 4x + 4
Answer: -2/7
|3x - 2| - 4x = 4
1) (3х - 2) - 4х = 4, if 3x - 2 >= 0
2) -(3x - 2) - 4x = 4, if 3x - 2 < 0
1)
3х - 4х = 4 + 2
-x = 6
x = -6
3х - 2 >= 0
3х >= 2
x >= 2/3 - wrong
2)
-3х + 2 - 4х = 4
-7х = 2
x = -2/7
3x-2<0
3x<2
3(-2/7)<2-right
Help anyone can help me do the question,I will mark brainlest.
Answer:
a)11cm
b)49.5cm²
Step-by-step explanation:
to find the perimeter you use the formula
o/360×2piR
since 2pi R=18pi cm,to find the radius you cancel pi from both sides 2r/2=18/2...so the radius is 9cm
therefore the perimeter will be:
70/360×2×22/7×9
27720/2520
=11cm
then to find the area you say
o/360×pi R²
70/360×22/7×9²
124740/2520
=49.5cm²
I hope this helps
Find the value of b.
A. 57
B. 123
C. 50
D. 61.5
Answer:
please i need educere answers
Step-by-step explanation:
i have one day left and i cannot finish please reply with any way to contact you
Someone please help me find y if you don’t mind Thankyouu so much
Answer:
Step-by-step explanation:
Decreasing rate = 12% = 0.12
y = 2400 * (1- 0.12)^x = 2400*(0.88)^x
x = 8 years
[tex]y = 2400 *(0.88)^{8}\\\\= 2400*0.36\\\\= 863[/tex]
Will Mark Brainlest Helppp please
Answer:
6
Step-by-step explanation:
how often is that question posted here ?
this means that we need to find the value of x, so that the functional (result) value is 7.
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
for what value of x does 4^x=(1/8)^x+5?
Use main properties of powers
(a^m)^n=a^{m\cdot n};(am)n=am⋅n;
\dfrac{1}{a^n}=a^{-n}an1=a−n
to simplify given equation.
1.
4^x=(2^2)^x=2^{2x}.4x=(22)x=22x.
2.
\left(\dfrac{1}{8}\right)^{x+5}=\left(\dfrac{1}{2^3}\right)^{x+5}=(2^{-3})^{x+5}=2^{-3x-15}.(81)x+5=(231)x+5=(2−3)x+5=2−3x−15.
3. Then the equation is
2^{2x}=2^{-3x-15}.22x=2−3x−15.
The bases are the same, so equate the powers:
2x=-3x-15,
2x+3x=-15,
5x=-15,
x=-3.
Answer: for x=-3.
cos²x-√3sinxcosx = 0
Answer:
x= п/2+пn; nE Z
x= п/6+пn; nEZ
Step-by-step explanation:
(cosx)^2- √3sinxcosx=0
Factorise it
cosx(cosx-√3sinx)=0
cosx=0 or cosx=√3sinx
x= п/2+пn; nE Z cosx/cosx= √3sinx/cosx
1/√3= tgx
x= arctg 1/√3+пn; nE Z
x= п/6+пn; nEZ
The answer is x= п/2+пn; nE Z
x= п/6+пn; nEZ
[tex]2 \sqrt{75} - \sqrt{108} + 5 \sqrt{48}[/tex]
[tex]\\ \sf\longmapsto 2 \sqrt{75} - \sqrt{108} + 5 \sqrt{48} \\\\ \sf\longmapsto 2 \sqrt{25 \times 3} - \sqrt{36 \times 3} + 5 \sqrt{16 \times 3} \\ \\ \sf\longmapsto 2 \times 5 \sqrt{3} - 6 \sqrt{3} + 5 \times 4 \sqrt{3} \\ \\ \sf\longmapsto 10 \sqrt{3} - 6 \sqrt{3} + 20 \sqrt{3} \\ \\ \sf\longmapsto (10 - 6 + 20) \sqrt{3} \\ \\ \sf\longmapsto 24 \sqrt{3} [/tex]
Answer:
24aprtment3
Step-by-step explanation:
Complete the equation: x2 + 10x +__= (__)^2
Answer:
x2 + 10x +25 = (x+5)^2
Step-by-step explanation:
x^2 + 10x
To complete the square
Take the coefficient of x
10
Divide by 2
10/2 =5
Square it
5^2 =25
Add it
x2 + 10x +25
The coefficient of x divided by 2 is the factor we add to x inside the square
(x+5)^2
Answer:
25 should go in the blank.
Step-by-step explanation:
You can factor and get (x + 5)^2, a perfect square trinomial when put into standard form.
21,5=13
7,9=8
36,2=19
1,7=?
find the value of ?
Answer:
4
Step-by-step explanation:
(21 + 5) : 2 = 13
(7 + 9) : 2 = 8
(36 + 2) : 2 = 19
(1 + 7) : 2 = 4
State the domain and range of the graph below:
Answer:
domain [-1, ∞)
range [ -3, ∞)
Step-by-step explanation:
Select the correct answer.
Which inequality represents all the solutions of 10(3x + 2) > 7(2x − 4)?
A.
x > -4
B.
x < -4
C.
x > -3
D.
x < -3
Answer:
C
Step-by-step explanation:
Given
10(3x + 2) > 7(2x - 4) ← distribute parenthesis on both sides
30x + 20 > 14x - 28 ( subtract 14x from both sides )
16x + 20 > - 28 ( subtract 20 from both sides )
16x > - 48 ( divide both sides by 16 )
x > - 3 → C
Decide which kind of change(s) is/are illustrated in each equation
(meaning changed from "regular" y=sinx or y=cosx)
→ Note: more than once choice may be circled per question.
Phase shift and period change
Rewriting the equation:
y = cos ( 2 ( x - 2 ) )
Phase shift 2 units to the right
Period changed to 2pi/2 = pi
What does x equal in the following equation 3x + 5 = 17 A x = 2 B x = 4 C x = 5
Answer:
see below
Step-by-step explanation:
3x + 5 = 17
Subtract 5 from each side
3x+5-5 = 17-5
3x = 12
Divide each side by 3
3x/3 =12/3
x =4
Answer:
B (x=4)
Step-by-step explanation:
plug it in...
3(4)+5=17
Use the diagram. Solve for p.
Answer:
A the first one.
Step-by-step explanation:
Wy = 28
WX = 12
XY = WY - WZ
XY = 28 - 12
XY = 16
4P = 16
P = 16/4
P = 4
