Which of the following best represents the solution to this system (3x+2y<2
Answers
Answer:
y < (2 - 3x)/2.
Step-by-step explanation:
(3x+2y)<2
2y < 2 - 3x
y < (2 - 3x)/2
Related Questions
Find the mean, median, and mode(s) of the data:
34, 57, 58, 56, 21
Please hurry !!!!!!!
Answers
a bin of candy holds 10 1/2 lbs. how many 3/4 lb boxes of candy can you put in the bin
Answers
You can put 14 boxes of candy weighing 3/4 lb each in the bin.
To determine how many 3/4 lb boxes of candy can fit in a bin, we divide the total weight of the bin by the weight of each box.
First, let's convert the mixed number 10 1/2 lbs to an improper fraction.
10 1/2 lbs = (10 * 2 + 1) / 2 = 21/2 lbs
Next, we divide the total weight of the bin (21/2 lbs) by the weight of each box (3/4 lb):
(21/2 lbs) / (3/4 lb) = (21/2) * (4/3) = (21 * 4) / (2 * 3) = 84/6 = 14
As a result, you can fill the bin with 14 boxes of sweets that each weigh 3/4 lb.
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The length of a rectangle is one inch less than five times its width. If the perimeter of the rectangle is 46 inches, find its dimensions. Write your answer as two numbers separated by a comma
Answers
Answer:
19,4 or 4,19
Step-by-step explanation:
Let the width of the rectangle be 'w' in
According to the question length of the rectangle (l) is one inch less than five times it's width;
\( \longrightarrow \) l = (5w - 1) in
Perimeter of rectangle = 46 inches
Formula of perimeter of rectangle = 2(Length + Width)
So,
\(\rm \implies 2(Length + Width) = 46 \\ \\ \rm \implies 2(5w - 1 + w) = 46 \\ \\ \rm \implies 2(6w - 1) = 46 \\ \\ \rm \implies 6w - 1 = \dfrac{46}{2} \rm \implies 6w - 1 = 23 \\ \\ \rm \implies 6w = 23 + 1 \\ \\ \rm \implies 6w = 24 \\ \\ \rm \implies w = \dfrac{24}{6} \\ \\ \rm \implies w = 4 \: in\)
\( \therefore \) Width of the rectangle (w) = 4 in
Length of rectangle (l) = 5 × 4 - 1 = 19 in
Construct the indicated confidence interval for the
population mean u.
C = 0.95 X=31.39
sigma= 0.8
n = 82
Answers
(31.217,31.563) is the answer
Hi i don’t know how to answer #4 and #5. I’m in college calculus 1.
Answers
Hence,
\(\begin{gathered} \tan ^2\alpha+1=\sec ^2\alpha \\ \text{Substitute tan}\alpha=-3\text{ into the eqaution above},\text{ we have } \\ (-3)^2+1=\sec ^2\alpha \\ 9+1=\sec ^2\alpha \\ 10=\sec ^2\alpha \\ \sec ^2\alpha=10 \\ \sec \alpha=\sqrt[]{10} \\ \text{but sec}\alpha=\frac{1}{\cos \alpha} \\ \text{hence, }\frac{1}{\cos\alpha}=\sqrt[]{10} \\ \cos \alpha=\frac{1}{\sqrt[]{10}} \end{gathered}\)\(\begin{gathered} \text{But tan}\alpha=\frac{\sin \alpha}{\cos \alpha} \\ \sin \alpha=\tan \alpha\cos \alpha \\ \sin \alpha=-3\text{ x }\frac{1}{\sqrt[]{10}} \\ \sin \alpha=-\frac{3}{\sqrt[]{10}} \\ \\ Hence,\text{ }\sin \alpha=-\frac{3}{\sqrt[]{10}} \end{gathered}\)Step 1: C = 2r Step 2: 6 = 2r Step 3: r = 6/2 Step 4: r = 3 Step 5: A = 360°/x° × × r^2 Step 6: A = 360°/72° × × (3)^2 Step 7: A = 5 × × (3)^2 Step 8: A = 45
Identify the step where Gwen first made an error
A. Step 5
B. Step 6
C. Step 3
D. Step 7
Answers
Answer: A
Step-by-step explanation:
She found the ratio of the circumference to the sector. not the ratio of the sector to the circumference.
21
a
f
h XUY
23
O
O 5 tan t
Ot cot t
Rewrite and simplify g(x) with the given subsititution* (5 Points)
5x
g (x)
2 sint (assume 0 < t < 7)
4-x²
10 sin t
2-2 sin 1
O None of these expressions
O I don't know.
O
24
Find all solutions for t (in radians) of the given equation on the interval [0,2n)* (5 Points)
8 sin 2t + sint = 0
Answers
Answer:
Step-by-step explanation:
Make the substitution first for x:
\(\frac{5(2sint)}{\sqrt{4-(2sint)^2} }\) and simplify a bit:
\(\frac{10sint}{\sqrt{4-4sin^2t} }\). Factor a 4 out of the expression under the radical:
\(\frac{10sint}{\sqrt{4(1-sin^2t)} }\) and pull out the perfect square in 4 as a 2:
\(\frac{10sint}{2\sqrt{1-sin^2t} }\) and divide 10 by 2 to get:
\(\frac{5sint}{\sqrt{1-sin^2t} }\)
Our Pythagorean trig identity tells us that
\(sin^2(t)+cos^2(t)=1\) so
\(1-sin^2(t)=cos^2(t)\). Make that substitution:
\(\frac{5sint}{\sqrt{cos^2t} }\) The denominator can be simplified (the squaring of the square root each cancel out), leaving us with:
\(\frac{5sint}{cost}\). Sin over cos is the same as tangent, so our final simplification is
5tan(t)
WORKED EXAMPLES
Try Vertical Angle Problems
ZC and Dare vertical angles.
m_C=° and mZD=(-3x +80)°
What is mZC
Enter your answer in the box.
Answers
Answer:
M<C = 20°
Step-by-step explanation:
Because they’re vertical angles, that means they’re equal to each other so:
m<C = m<D
x = -3x + 80
x + 3x = 80
4x = 80
x = 20
Since m<C equals x, that means m<C is 20°
please help me with this
Answers
Answer:
32 - 4 = 28 units^2
Step-by-step explanation:
Rectangle area = width x length
4 x 8 = 32
Rectangle minus the missing right triangle.
Triangle area: (base x height)/2
Right triangle = (4 x 2)/2 = 4
Need help answering this question!!!!
Answers
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees
Find the area under the standard normal curve to the right of z=0. 69. Round your answer to four decimal places, if necessary. Answer1 Point- Tables- Keypad- Keyboard ShortcutsIf you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key.
Answer Normal Table −[infinity] to −z
Answers
The area under the standard normal curve to the right of z = 0.69 is approximately 0.2451.
How to calculate the valueUsing a standard normal table:
Locate the row for 0.6 in the left-hand column of the table and the column for 0.09 along the top row of the table.
The intersection of the row and column gives the area to the left of z = 0.69, which is 0.7549.
Subtract this area from 1 to find the area to the right of z = 0.69:
area to the right of z = 0.69 = 1 - 0.7549 = 0.2451
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A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 4 tables is $47. The total cost to rent 12 chairs and 2 tables is $35. What is the cost to rent each chair and each table?
Answers
Answer:
I like anime :)
Step-by-step explanation:
◘HURRY PLEASE◘
↓↓↓↓↓↓↓↓↓↓↓↓↓↓
Answers
Answer:
B, the parabola is narrower.
Step-by-step explanation:
Given the parent square function: x^2.
A vertical stretch by a scale factor of 3 is made to transform x^2 into 3x^2.
A stretch makes the function narrower, a compression makes the function wider.
Therefore the parabola is narrower.
a binary tree is a structure in which each node is capable of having successor nodes, called .
Answers
A binary tree is a structure in which each node is capable of having two successor nodes, called "left child" and "right child."
In a binary tree, each node can have at most two successor nodes, known as the left child and the right child. These successor nodes branch out from the parent node, forming two distinct paths or branches. The left child represents the left branch, and the right child represents the right branch. This hierarchical structure allows for efficient organization and traversal of data, as each node can connect to two other nodes, creating a branching pattern throughout the tree. The concept of left and right children enables various operations and algorithms to be performed on the binary tree, such as insertion, deletion, searching, and sorting.
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what is the value of x that makes 2/3 to 9 and x to 36.
Answers
Answer:
Hope this helps :)
Step-by-step explanation:
2/3 to 9
x to 36
36/9 = 4
\(\frac{2}{3}*4\) = x
x = \(\frac{8}{3}\)
Full working out for this question please.
Answers
Answer:
B. 3.2
Step-by-step explanation:
5 companies have 0 computers.
10 companies have 1 computer.
10 companies have 2 computers.
30 companies have 3 computers.
25 companies have 4 computers.
20 companies have 5 computers.
To find mean:
0 x 5 = 0
10 x 1 = 10
10 x 2 = 20
30 x 3 = 90
25 x 4 = 100
20 x 5 = 100
100 + 100 + 90 + 20 + 10 + 0 = 320
20 + 25 + 30 + 10 + 10 + 5 = 100
100 companies were surveyed.
100 companies use 320 computers in total.
320 / 100 = 3.2
A seagull is floating on the surface of the ocean when it takes off and flies upward at a rate of 4 ft per second. After 19 seconds, how far away from the surface of the water will the seagull be?
Answers
Answer:
d = 76 m
Step-by-step explanation:
It is given that, the speed of 4 ft per second when it takes off and flies upward
We need to find how far away from the surface of the water will the seagull be after 9 seconds.
Speed is distance over time.
So,
Distance, d = vt
d=4 ft/s × 19 s
d=76 meters
So, the seagull will be at a distance of 76 m from the surface of water.
HELPPPP FIND VALUE OF Y !!!
Answers
Answer:
Y=13
Step-by-step explanation:
X is 45 so
45+5y+5=9y-2 solve and y=13
Answer:
y = 13
Step-by-step explanation:
x + 135 = 180 {linear pair}
x = 180 - 135
x = 45
9y - 2 = 5y + 5 + x {Exterior angle property of triangle}
9y - 2 = 5y + 5 + 45
9y - 2 = 5y + 50 {Subtract 5y from both sides}
9y -5y -2 = 50
4y - 2 = 50 {Add 2 to both sides}
4y = 50 + 2
4y = 52 {Divide both sides by 4}
y = 52/4
y = 13
What is the remainder when x^3-8x^2+20x-16 is divided by x+2?
Answers
Answer:
(x - 4)(x - 2)²
Step-by-step explanation:
x³ - 8x² + 20x - 16
x³ - 4x² + 4x - 4x² + 16x - 16
x(x² - 4x + 4) - 4(x² - 4x + 4)
(x - 4)(x² - 4x + 4)
(x - 4)(x² - 2x - 2x + 4)
(x - 4)(x(x - 2) - 2(x - 2))
(x - 4)(x - 2)(x - 2)
(x - 4)(x - 2)²
(x - 4)(x - 2)²
Answer:
-96
Step-by-step explanation:
x+2=0 take 2 to the other side which will be -2
the -2 you sub it into the quotient and calculate
Emma jogs 2 miles along the beach in
1
3
of an hour. If she travels at a constant rate, how far will she jog in an hour?
Answers
Answer: 6 miles
Step-by-step explanation: 1/3 hour = 2
1 hour = 6 (2x3=6)
Answer:
6 miles
Step-by-step explanation:
Find the first and second derivatives. 5 y = - 4x® - 9 11
Answers
We are given a function y = -4x^3 - 9x^11, and we need to find its first and second derivatives.
To find the first derivative, we apply the power rule and the constant multiple rule. The power rule states that the derivative of x^n is nx^(n-1), and the constant multiple rule states that the derivative of kf(x) is k*f'(x), where k is a constant. Applying these rules, we can find the first derivative of y = -4x^3 - 9x^11.
Taking the derivative term by term, the first derivative of -4x^3 is -43x^(3-1) = -12x^2, and the first derivative of -9x^11 is -911x^(11-1) = -99x^10. So, the first derivative of y is dy/dx = -12x^2 - 99x^10.
To find the second derivative, we apply the same rules to the first derivative. Taking the derivative of -12x^2, we get -122x^(2-1) = -24x, and the derivative of -99x^10 is -9910x^(10-1) = -990x^9. Therefore, the second derivative of y is d^2y/dx^2 = -24x - 990x^9.
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Edward and Jacob are competing for the same job cutting firewood. While interviewing,
Edward reported that he can cut five cords of firewood in eight hours. (A cord is the
official measurement for firewood. It is actually a measurement for volume.) Jacob,
trying to sound more impressive, says he can cut 162 cords in 100 hours. Who would you
hire as the better firewood cutter? Why? Explain completely.
Answers
Answer:
I would hire Jacob.
Step-by-step explanation:
Jacob is trying to sound more impressive knowing that Edward has more cords per hour. The writers of the question wouldn't say "trying to SOUND more impressive" if Jacob actually WAS more impressive. But maybe that's what they want you to think. If you take the 5 cords of Edward and divide it by the eight hours that it takes him to do you will notice he has an average of 0.625 cords per hour. And if you take a look at Jacob's average you immediately notice that he has an average of ABOVE 1. Jacob has an average of 1.62 cords per hour. Therefor Jacob is more efficient in this category of work. That's why I would hire Jacob.
A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per second and he enters the water feet first. The equation h = –16t^2 + 12t + 10 can be used to find Chris's height after t seconds. How long will it take Chris to return to his starting height of 10 feet?
Answers
Answer:
Chris will take 0.75 seconds to return to his starting height of 10 feet.
Step-by-step explanation:
Let the height of Chris be represented by \(h(t) = -16\cdot t^{2}+12\cdot t +10\), where \(h(t)\) is the height in feet and \(t\), the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:
\(-16\cdot t^{2}+12\cdot t +10 = 10\)
\(-16\cdot t^{2}+12\cdot t = 0\)
Then, we simplify the expression by algebraic means:
\(-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0\)
Roots of the polynomial are, respectively:
\(t = 0\,s\,\lor \,t = 0.75\,s\)
First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.
Which expression has the greatest value?
16
V162
✓642
84
Answers
Let p: A shape is a triangle.
Let q: A shape has four sides.
Which is true if the shape is a rectangle?
O p q
O p^q
Op q
O q→p
Answers
Answer:
answer is A
Step-by-step explanation:
p: shape is a triangle
q: a shape has four sides
The statement that has to be true is p v q.
What is logic?Logic is a means of expression which involves the use of symbols to represent statements.
Since the shape has to be a rectangle then it follows that the statement that has to be true is p v q.
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Please help number 4 !!!!!!
Answers
Answer:48.125
Step-by-step explanation:
The length of a violin string varies inversely as the frequency of its vibrations. A violin string 14 inches long vibrates at a frequency of 450 cycles per second. Find the frequency of a 10-inch violin string.
Answers
The frequency of the 10 inch violin string will be 630 cycles per second or Hertz if the violin string 14 inches long vibrates at a frequency of 450 cycles per second.
As per the question statement, A violin string 14 inches long vibrates at a frequency of 450 cycles per second and we are supposed to find out the frequency of a 10-inch violin string.
We should be knowing that the length of a violin string varies inversely as the frequency of its vibrations.
f = m/l, where "f" is the frequency and "l" is the length and "m" is the constant number
450 = m / 14
m = 6300
Therefore New frequency = 6300 / 10 = 630 cycles per second
Frequency: The number of oscillations or cycles per second or per unit time and it's SI unit is Hertz or cycles per second.To learn more about frequency, click on the link given below:
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the formula gives the length of the side, s, of a cube with a surface area, sa. how much longer is the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?
Answers
As per the formula of surface area of cube, the length of the cube is 5.45 meters.
The general formula to calculate the surface area of the cube is calculated as,
=> SA = 6a²
here a represents the length of cube.
Here we know that the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters.
When we apply the value on the formula, then we get the expression like the following,
=> 180 = 6a²
where a refers the length of the cube.
=> a² = 30
=> a = 5.45
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Two opposite angles of a parallelogram are 3x+4 and 5x-2 find measure of all angles of parallelogram
Answers
Answer:
=The opposite angles of a parallelogram are equal
=(3x+4)
=(5x-2)
=-2x=-6
=x=6+2
=x=3=
1st angle=3x+4=13
3rd angle=5x-2=13
=sum of adjacent side of angle is 180°
=Let the adjacent (2nd angle ) be y=
y+13°=180°
=y=180°-13°
=y=167°=
2nd angle=4th angle
=2nd angle=167°
=4th angle=167°
Step-by-step explanation:
This might be confusing, but I hope it helps <3
Help plz i tried 4 and it was wrong
Answers
Answer:
2 roots this parabola have because it line passes at x - axis.