Answer:
[tex]Domain: \{1 \le x \le 3\}[/tex]
Step-by-step explanation:
Given
See attachment for options
Required
Determine the domain and the range
From the question, we understand that:
[tex]x \ge 1[/tex] --- at least 1 inch
[tex]x \le 3[/tex] --- not more than 3 inches
So, the domain is:
[tex]x \ge 1[/tex] and [tex]x \le 3[/tex]
Rewrite as:
[tex]1 \le x[/tex] and [tex]x \le 3[/tex]
Combine both:
[tex]1 \le x \le 3[/tex]
Hence, the domain is:
[tex]Domain: \{1 \le x \le 3\}[/tex]
There is no available to determine the range.
A general rule is that, substitute the limits of the domain (i.e. 1 and 3) in the function formula, the result is the range of the dataset.
For instance:
[tex]A(x) = 5x[/tex]
We have:
[tex]A(1) = 5*1=5[/tex]
[tex]A(3) = 5*3=15[/tex]
The range will be:
[tex]Range: \{5 \le A(x) \le 15\}[/tex]
In ΔXYZ, ∠Y=90° and ∠X=40°. ∠ZWY=51° and XW=600. Find the length of ZY to the nearest integer.
The image of the triangle is missing so i have attached it.
Answer:
ZY ≈ 391
Step-by-step explanation:
From the attached image, ∠WZY = 180 - (51 + 90) = 39°. Because ΔWYZ is a right angle triangle and sum of angle in a triangle = 180°
Now, similarly ∠XZY = 180 - (40 + 90) = 50°
Using sine rule, we can find WZ;
WZ/sin 40 = XW/sin 50
We are given XW = 600
Thus;
WZ = (600 × sin 40)/sin 50
WZ = 503.5
Now, ZY can be found using trigonometric ratios;
ZY/WZ = sin 51°
Thus;
ZY = 503.5 × sin 51
ZY ≈ 391
Determine if the sequence below is arithmetic or geometric and
determine the common difference / ratio in simplest form.
1,3,5...
This is
sequence and the
is equal to
Answer:
arithmetic
Step-by-step explanation:
geometric sequences grow really fast in a short amount of time while arithmetic sequences have a steady growth over any period of time
Answer:
This is an arithmetic sequence and the common difference is equal to 2.
True or false
You always have to use x and y as your variables when writing
equations for word problems.
Answer:
false
Step-by-step explanation:
you can use whatever letters you want to represent things. x and y make sense that you would use just them for graphing, but if it is a word problem you could have like c for cost or t for time or something
16x³-128y³
pls answer fast
Answer:
16x³-128y³
2((2x)³-(4y)³)
2(2x-4y)(4x²+8xy+16y²)
2×2×4(x-2y)(x²+2xy+4y²)
16(x-2y)(x²+2xy+4y²)
is your answer in factor form.
The required factor is given by 16(x-2y)(x²+2xy+4y²)
factors can be defined as the the numbers that multiply to give that number.
Factorization
It follow the
a^3-b^3 = (a-b)(a^2+ab+b^2)
[tex]16x^3-128y^3\\16(x^3-(2y)^3)\\16(x-2y)(x^2+2xy+4y^2)[/tex]
Thus the required factor is given by 16(x-2y)(x²+2xy+4y²).
Learn more about factors here:
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Help !!!!!!!!! !!!!!!!!!!!!
Answer:
28
Step-by-step explanation:
Add up the angles of the ones given so
40 + 112 = 152 and then subtract by 180 to get the missing angle: 180 - 152 = 28
I hope this helped!
Answer:
28°
Step-by-step explanation:
40° + 112 ° + angleCBA =180
152°+ angleCBA= 180
angle CBA=180° - 152°
angle CBA= 28°
what's the answer dhdhdizdjskxi
Answer:
138 ft for the area in the proposed design of the green section.
To find the area of the whole shape, you gotta divide it into polygons. So, you find the area of the big rectangle at the bottom first: 18 x 7 = 126. That's the area of the big rectangle.
Then, you find the area of the little square on top. 4 x 4 - 16, that's the area. Then, you gotta add those two together: 126 + 16. The total area is 142 square feet.
algebra 1
what's the simplified form of (3s^2-2s+1)/(s^2-s+2)
Answer:
Step by Step Solution
More Icon
STEP
1
:
Equation at the end of step 1
STEP
2
:
3s2 - 2s + 1
Simplify ————————————
s2 - s + 2
Trying to factor by splitting the middle term
2.1 Factoring 3s2 - 2s + 1
The first term is, 3s2 its coefficient is 3 .
The middle term is, -2s its coefficient is -2 .
The last term, "the constant", is +1
Step-1 : Multiply the coefficient of the first term by the constant 3 • 1 = 3
Step-2 : Find two factors of 3 whose sum equals the coefficient of the middle term, which is -2 .
-3 + -1 = -4
-1 + -3 = -4
1 + 3 = 4
3 + 1 = 4
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
What is the area, in square feet, of the shaded part of the rectangle below?
===============================================
Work Shown:
A = area of the rectangle
A = length*width
A = 16*17
A = 272 sq ft
B = area of triangle
B = base*height/2
B = 16*8/2 ..... note that 17-9 = 8
B = 16*4
B = 64 sq ft
C = area of shaded trapezoid
C = A - B
C = 272 - 64
C = 208 sq ft
--------------------
Alternative Method:
Apply the trapezoid area formula
b1 = 17 and b2 = 9 are the parallel bases
h = 16 is the height perpendicular to either base
A = h*(b1+b2)/2
A = 16*(17+9)/2
A = 16*(26)/2
A = 16*13
A = 208 sq ft
I really need help! is my answer correct ?
IF you add 6 tens of thousands, 5 thousands and 3 hundreds together what is the value of the largest digit of the answer?
Answer:
ten thousands place
Step-by-step explanation:
6 tens of thousands = 60,000
5 thousands= 5,000
3 hundreds= 300
60,000
+ 5,000
+ 300
65,300
Who can answer this ( see image).
9514 1404 393
Answer:
042
Step-by-step explanation:
The first clue tells you the possibilities are ...
6__, _8_, or __2
The second clue eliminates 6__ and tells you the possibilities are ...
18_, _81, 1_2, 48_, _42
The third clue tells you two of the correct digits are 0 and 2, since 6 has already been eliminated by the first two clues. This only leaves 042.
042 is consistent with the last 2 clues.
The 3-digit key is 042.
Can someone answer this
Answer:
54
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 4 ] , then
f(b) = f(4) = 81 ← value of y from table for x = 4
f(a) = f(3) = 27 ← value of y from table for x = 3
average rate of change = [tex]\frac{81-27}{4-3}[/tex] = 54
expand and simplify (3x+4)(2x+3)
Answer:
answer is 6x^2+17x+12
Step-by-step explanation:
3x(2x+3)+4(2x+3)=6x^2+9x+8x+12=6x^2+17x+12
find the volume of the prism
Answer: 4,218,750
Step by explanation:
6x - 4y = 38
x + y = 5
Answer: y= -4/5 and x= 29/5
Step-by-step explanation:
From eqn2 , x= 5-y. Thus substituting in eqn1 will give
6(5-y)-4y=38
30-6y-4y=38
30-10y=38
-10y=38-30
-10y= 8
y=8/-10---> y= -4/5
Substituting y in eqn2 we have
x+(-4/5)=5
x=5+4/5
x=29/5
An interior designer made a scale model of a room. Each 1 inch in the model represented 12 feet in the actual 1 room. If the length of a hall was 2 inches in the model, what was the actual length of the hall?
Answer:
Step-by-step explanation:
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2) determine the length of the hypotenuse from the picture
A) 21 cm
B) 28 cm
C) 35 cm
D) 49 cm
Dont put the answer
In a link
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Solve for X
Answer:
[tex]AD/ED=AB/CB[/tex][tex]15/x=9/3[/tex][tex]45/9=9x/9[/tex][tex]x=5[/tex]----------------------
hope it helps...
have a great day!!
Answer:
x=5
Step-by-step explanation:
cual es el resultado de 5-4(6-12)
Answer:
29
Step-by-step explanation:
5-(4*(6-12))=29
Answer:
La respuesta es 29, espero que esto ayude.
Solve for x: help me
Answer:
[tex]8x - 4 = 60 \\ 8x = 64 \\ x = 8[/tex]
Answer:
8
Step-by-step explanation:
8x-4=60
Finding probability
Answer:
6/8??
Step-by-step explanation:
I am a little confused with the question but i believe its 6/8
-Cuántos números 2 veras si cuentas de del 10 al 22?
Answer:
12
Step-by-step explanation:
What is 7.936 rounded to the hundredths place
Answer:
7.94 is your answer
Step-by-step explanation:
......
Price of bread was increased by 5% to a retail price of $3.57. What was the original price ?
Answer:
3.39
Step-by-step explanation:
Gabrielle's age is three times Mikhail's age. The sum of their ages is 80. What is Mikhail's age?
Answer:
Mikhail is 20 years old
Step-by-step explanation:
80 = Mikhail + Gabrielle
Gabrielle is 60 years old
Mikhail is 20 years old
20 * 3 = 60
20 + 60 = 80
A light bulb manufacturer randomly checks light bulbs. Of 1,000 light bulbs checked, 30 light bulbs are defective. How many light bulbs will most likely be defective in a batch of 3,500?
A. 60
B. 105
C. 120
D. 180
Answer:
105
Step-by-step explanation:
(30/1000) * 3500 = 105
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
The answers are A and D
Step-by-step explanation:
2/6 simplified is 1/3 and none of the other choices are equal to 1/3, so the answers are A and D.
need help now! (probibility)
The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park. What is the probability of going to the amusement park?
Answer:
36%, I'm fairly certian
Step-by-step explanation:
A. 90%
B. 60%
C. 30%
D. 36%
D. makes the most sense to me
The probability of going to the amusement park will be 60%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that:-
The weather forecast predicts a 60% chance of rain. However, if it does not rain, the Hershey family has a 90% chance of going to an amusement park.The probability will be calculated as:-
[tex]P|A|B|=\dfrac{P(A\cap B)}{P(B)}\\\\\\P|A|B|=\dfrac{0.6\times 0.9}{0.9}=0.6=60\%[/tex]
Therefore probability of going to the amusement park will be 60%.
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Leigh-Mari walks 10 kilometres to a waterfall at an
average speed of 3 kilometres per hour.
(a) Write down, in terms of r, the time taken in hours.
(b) Leigh-Mari returns from the waterfall but this time she
walks the 10 kilometres at an average speed of (x+1)
kilometres per hour. The time of the return journey is
30 minutes less than the time of the first journey. Write
an equation in x and show that it simplifies to
2 + 1 - 20 = 0.
(c) Solve the equation x2 + - 20 = 0.
(d) Find the time Leigh-Mari takes to walk to the waterfall,
Answer:
immma send you the link friend me on hereStep-by-step explanation:
1001 divided by 7
( long division )
Answer: 143
Step-by-step explanation: hope this helps :)