Answers
This is a linear equation in standard form [tex]\( Ax + By = C \).[/tex] None of the options provided in the multiple-choice question exactly match this equation in standard form
To find the equation of a line perpendicular to the given line and passing through a specific point, follow these steps:
1. Identify the slope of the original line.
The line given is [tex]\( y = -10x + 1 \)[/tex]. The slope (m) of this line is -10.
2. Find the perpendicular slope:
The slope of a line perpendicular to another line is the negative reciprocal of the original line's slope. Therefore, the perpendicular slope [tex]\( m_{\perp} \) is \( \frac{1}{10} \)[/tex] because [tex]\( m_{\perp} = -\frac{1}{m} \).[/tex]
3. Use the point-slope form to find the equation:
The point-slope form is [tex]\( y - y_1 = m_{\perp}(x - x_1) \)[/tex], where [tex]\( (x_1, y_1) \)[/tex] is the point the line passes through, which is (5,7) in this case.
4. Plug in the point and the perpendicular slope:
[tex]\( y - 7 = \frac{1}{10}(x - 5) \)[/tex].
5. Simplify the equation to get it into slope-intercept form [tex](\( y = mx + b \))[/tex]:
[tex]\( y = \frac{1}{10}x - \frac{1}{10}(5) + 7 \)[/tex].
[tex]\( y = \frac{1}{10}x - \frac{1}{2} + 7 \)[/tex].
[tex]\( y = \frac{1}{10}x + \frac{13}{2} \)[/tex] after combining like terms.
The equation in slope-intercept form is [tex]\( y = \frac{1}{10}x + \frac{13}{2} \),[/tex]which corresponds to one of the choices given in the multiple-choice question. Let's identify which one it is.
The equation that represents a line which is perpendicular to the line [tex]\( y = -10x + 1 \)[/tex] , passing through the point (5,7), is:
[tex]\[ y = \frac{1}{10}x + \frac{13}{2} \][/tex]
This can be simplified to:
[tex]\[ 10y = x + 65 \][/tex]
Or:
[tex]\[ x - 10y = -65 \][/tex]
This is a linear equation in standard form \( Ax + By = C \). None of the options provided in the multiple-choice question exactly match this equation in standard form
Related Questions
A distribution has the five-number summary shown below. What is the
interquartile range (IQR) of this distribution?
12, 21, 43, 62, 71
Answers
Answer:
the IQR is 41 because 62-21=41
What is the mean of 11,22,33
Answers
Answer:
22
Step-by-step explanation:
11+22+33=66
66/3
=22
Answer:
22
Step-by-step explanation:
The mean is just another word for average
Add up the three numbers and divide by 3
(11+22+33) /3 = 66/3 = 22
Simplify: ( y^−7 × y^−3 )−1 A. y−21 B. y 21 C. y−10 D. y 10
Answers
Answer:
D
Step-by-step explanation:
The rules we need to simplify this are:
[tex]a^x*a^y=a^{x+y}[/tex]
and
[tex](a^x)^y=a^{xy}[/tex]
Now, let's simplify the problem:
[tex](y^{-7}*y^{-3})^{-1}\\(y^{-10})^{-1}\\y^{10}[/tex]
Answer choice D is y^10, so that's correct.
HELP NEED IT PLEASE
Answers
Add all of the numbers together
2+3.5+2+3.5
5.5+5.5
= 11 cm
Answer is 11cm - second time
Answer:
11 cm
Step-by-step explanation:
The perimeter is equal to
P =2(l+w)
P = 2(2+3.5)
= 2(5.5)
= 11 cm
Mr. Ford drove 224 miles in 4 hours. At what rate of speed did he drive?
Mr. Liston bought lunch for $12.80. He gave the waiter a tip of 15%. How much money did the waiter receive?
A: $1.28
B: $1.92
C: $2.56
D: $3.84
PLEASE SHOW WORK!!
Answers
Part A) The rate of speed is 56 miles/ hour and
Part B) The money that waiter receive is $1.92.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Part A:
Distance traveled by Mr.Ford = 224 miles
Time taken by Mr.Ford = 4 hours
Rate of speed can be found by
[tex]Speed = \frac{Distance}{time}[/tex]
⇒ [tex]Speed = \frac{224}{4}[/tex]
⇒ [tex]Speed = 56[/tex]
Thus the rate of speed is 56 miles/ hour
Part B:
Cost of lunch bought by Mr.Liston = $12.80
Mr.Liston gave the waiter a tip = 15%
⇒ [tex]15\% = 0.15[/tex]
Now, the money that waiter receive is
⇒ [tex]12.80(0.15)[/tex]
⇒ [tex]1.92[/tex]
Thus the money that waiter receive is $1.92.
Hence we conclude that A) the rate of speed is 56 miles/ hour and B) the money that waiter receive is $1.92.
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A state is considering license plates that have two digits followed by four letters. Assuming no combinations are excluded, how many different plates are possible if no repetitions of letters or digits are allowed?
Answers
Answer:
32,292,000
Step-by-step explanation:
In your question, it asks how many license plate combinations we could make WITHOUT repeats.
We need some prior knowledge to answer this question.
We know that:
There are 26 letters in the alphabetWe can make 10 digits (0 - 9)With the information we know above, we can solve the question.
Since we CAN'T have repeats, we would be excluding a letter or number for each license plate.
We're going to need to multiply each "section" in order to find how many combinations of license plates we can make.
We decrease by one letter and one number in each section since we can't have repeats.
Now, we can solve.
Work:
[tex]26*25*24*23*10*9 = 32,292,000[/tex]
When you're done multiplying, you should get 32,292,000.
This means that there could be 32,292,000 different combinations of license plates.
I hope this helps you out.Good luck on your academics.Have a fantastic day![tex]10\cdot9\cdot26\cdot25\cdot24\cdot23=32292000[/tex]
A(2,5),B(2,-3), and D(-6,5) are three verticals of square ABCD. What are the coordinates of the fourth vertex, c?
Answers
Answer:
(-6,-3)
Step-by-step explanation:
The explanation is in the picture. I really feel like the picture does a better job of explaining it then I could with words.
Answer:
C (-6,-3)
Step-by-step explanation:
A(2,5),B(2,-3), and D(-6,5)
AB has a length of 8 since the x coordinate is the same , we only worry about the y
5--3 = 5+3 = 8
AD has a length of 8 since the y coordinate is the same, we only worry about the x
2 --6 = 2+6 =8
Notice a pattern.
A and B have the same X
A and D have the same Y
B and C will need the same Y for it to be a square
C and D will need the same x
B has a y coordinate of -3
D has an x coordinate of -6
C will have coordinates of (-6,-3)
If we look at the attached graph of the 3 points, we see that to make the square, we need to add a point at (-6,-3)
Abby has an exercise wheel with and 11 inches diameterFor her guinea pig. What is the circumference of the exercise wheel to the nearest whole number? Use 3.14 for
Answers
The formula for circumference of a circle is:
Circumference = PI x diameter.
Diameter is 11 inches.
Circumference = 11 x 3.14 = 34.54 inches.
.54 is greater then .5, so you would round up.
The answer would be 35 inches.
Find the value of x if a linear function goes through the following points and has the following slope: (x,2), (-4,6), m=3
Answers
Answer:
X=-16/3 or 5.33
Step-by-step explanation:
The formula is y=mx+c
Substitute in values for gradient
6=-4×3+c
C=18
Y=3x+18
Substitute to find x
2=3x+18
-16=3x
X=-16/3
The slope of a line is the change in the y values over the corresponding x values.
The value of x, that makes the points a linear function is -16/3
Given that:
[tex]m = 3[/tex]
[tex](x_1,y_1) = (x,2)[/tex]
[tex](x_2,y_2) = (-4,6)[/tex]
The slope (m) of a line is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]3 = \frac{6-2}{-4-x}[/tex]
[tex]3 = \frac{4}{-4-x}[/tex]
Cross multiply
[tex]3 \times (-4 -x) = 4[/tex]
Divide by 3
[tex]-4 -x = \frac 43[/tex]
Add 4 to both sides
[tex]-x = \frac 43 + 4[/tex]
Take LCM
[tex]-x = \frac{4 + 12}3[/tex]
[tex]-x = \frac{16}3[/tex]
Divide by -1
[tex]x =-\frac{16}3[/tex]
Hence, the value of x is -16/3
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a jar contains 30 red marbles 50 blue marbles and 20 white marbles if you select one marble from the jar at random what is the theoretical probability of getting a red marble
Answers
Answer:
3/10
Step-by-step explanation:
P(red) = red marbles / total marbles
We have 30 red marbles
total marbles = (20 white+ 50 blue+ 30 red) = 100 marbles
P(red) = 30/100 = 3/10
Answer:
0.30 or 30%.
Step-by-step explanation:
This = number of re marbles / total number of marbles
= 30 / (30+50+20)
= 30 / 100
= 0.30.
What is the solution to this equation?
X- 17 = -5
Answers
Add 17 to both sides
x=12
Hey there!
Answer:
X = 12
Step-by-step explanation:
Given,
X - 17 = - 5
X = -5 + 17
X = 12
The odds against Carl beating his friend in a round of golf are 7:5. Find the probability that carl will beat his friend.
Answers
In a game, the odds against Carl winning are 7:5. For every 7 games he loses, there are 5 games he wins. Therefore, the probability of Carl winning is 5 divided by the total of possible outcomes (5+7), which equals to 5/12.
Explanation:The subject of this question is Mathematics, specifically probability. The odds against Carl beating his friend in a round of golf are 7:5. To calculate the probability of Carl winning, we have to understand that the odds of an event occurring are the ratio of the possibility of the event happening to the possibility of the event not happening. If the odds are 7:5 against Carl winning, that means for every 7 games Carl loses, there are 5 games he wins.
To calculate the probability of Carl winning, we take the number of wins and divide it by the total number of outcomes. So the probability that Carl will beat his friend would be 5/(7+5) = 5/12.
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What is the solution to the equation
-5 p = 24-p?
Answers
For Valentine's Day, Kelsey got a box of 24 chocolates. After one week, she'd eaten 5/8 of them. How many chocolates had Kelsey eaten?
Answers
Answer:
She had eaten 15 chocolates.
Step-by-step explanation:
[tex]\frac{5}{8} * 24 = \frac{120}{8} = 15[/tex]
Final answer:
Kelsey ate 15 chocolates out of the 24 after a week, which is 5/8 of the total. Jenny initially had 14 chocolates before eating two and giving half of the remainder to Lisa.
Explanation:
To solve how many chocolates Kelsey has eaten, we have to calculate 5/8 of 24. Since 24 chocolates multiplied by 5/8 equals 15, Kelsey ate 15 chocolates after one week.
Regarding the second question about Jenny and her chocolates:
If Lisa ends up with 6 chocolates, which represents half of the remainder after Jenny ate two, we can deduce that before giving half to Lisa, there were 12 chocolates.Adding back the two chocolates Jenny ate, she originally had 14 chocolates.In summary, the answer to how many chocolates Jenny initially had is 14.
Which function describes this graph?
Α. y = x^2 - 2x +6
Β. y = (x-2)(x – 6)
C. y = (x - 4)(x - 4)
D. y = x^2 + 8x + 12
Answers
Answer:
D. x^2 + 8x + 12.
Step-by-step explanation:
The zeroes of the graph ( the x -intercepts) are -2 and -6 so we can write the function as (x + 2)(x + 6) = x^2 + 8x + 12.
The function y = x² + 8x + 12 describes this graph. This is obtained by using equation of parabola at the origin and transforming the graph to the required position as in the question by using rules of transformation of linear function.
What are the Rules of Transformation of Linear Function?
Rules of transformation of linear function are
f(x)+b - function is shifted b units upwardf(x)-b - function is shifted b units downwardf(x+b) - function is shifted b units to the leftf(x-b) - function is shifted b units to the right-f(x) - function is reflected over x-axisf(-x) - function is reflected over y-axisWhat is the required function?
Equation of parabola at the origin is y = x²
First the graph is shifted left 4 unitsBy the transformation we can rewrite the function in f(x+b) form;
that is ⇒ y = (x+4)² ⇒ y = x² + 8x +16
Next the graph is shifted 4 units downwardBy the transformation we can rewrite the function in f(x)-b form;
that is ⇒ y = x² + 8x +16 - 4 ⇒ y = x² + 8x +12
This is the required function.
Hence the function y = x² + 8x + 12 describes this graph.
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The area of circle Z is 64 ft2.
What is the value of r?
r = 4 ft
r = 8 ft
r = 16 ft
r = 32 ft
Answers
The value of r that satisfies the given area is approximately 5.08 ft, which is closest to 4 ft.
Explanation:The area of a circle can be calculated using the formula A = πr², where A is the area and r is the radius. In this case, the area of the circle is given as 64 ft². So we can substitute the value of A as 64 ft² in the formula to find the value of r.
64 = πr²
To solve for r, we can divide both sides of the equation by π and then take the square root of both sides.
r² = 64/π
r = √(64/π)
To simplify further, we can approximate the value of π as 3.14.
r = √(64/3.14)
r ≈ 5.08 ft
Based on the given options, the value of r that is closest to 5.08 ft is 4 ft.
Answer:
ITS 8FT
Step-by-step explanation:
Write this expression as a single term: 2log2x + log2(x + 5).
Answers
[tex]\bf \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 2\log_2(x)+\log_2(x+5)\implies \log_2(x^2)+\log_2(x+5) \\\\\\ \log_2[x^2(x+5)]\implies \log_2(x^3+5x^2)[/tex]
The expression 2log2x + log2(x + 5) can be simplified to a single term, log2[x² × (x + 5)], by using properties of logarithms.
Explanation:
The subject of this question is the simplification of a logarithmic expression. In the mentioned expression, we have 2log2x + log2(x + 5), and we'll use the properties of logarithms to simplify it.
First remember that in terms of logarithms, mlogₐ(b) = log_a(b^m). So we can take the coefficient of the first term and use it as an exponent, which transforms '2log2x' into 'log2(x²)'.
Next, note the law that states logₐ(b) + log(c) ₐ= logₐ(bc). This means that we can combine the two terms under a singular logarithm to give us a single term: log2[x² × (x + 5)]. So, the simplified form of the expression 2log2x + log2(x + 5) is log2[x² × (x + 5)].
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Find the LCD for the following fractions:
(4/15x^3), (5/12x^2). answers: 25^3, 60x^3, 25x^5, 60x^5
Answers
Answer:
60x^3
Step-by-step explanation:
Given:
4/15x^3 and 5/12x^2
finding LCM of denominators (15x^3,12x^2)
for variable x, as x^3 is the heighest power so we'll keep x^3
now for the numeric part
15= 3*5
12=3*4
common factor is 3, so
3*4*5 =60
hence LCD= 60x^3!
The area rectangle,a=1xw is represented by the expression 24x6y15. Which could be the dimensions of the rectangle
Answers
The dimensions of the rectangle are 24x and 90y.
Explanation:The area of a rectangle is represented by the expression 24x6y15. To determine the dimensions of the rectangle, we need to factorize the expression. Factoring out the common factors, we have:
24x6y15 = 2 × 2 × 2 × 3 × x × (2 × 3) × y × (5 × 3)
From this, we can see that the dimensions of the rectangle are:
Length = 2 × 2 × 2 × x × 3 = 24x
Width = 2 × y × 3 × (5 × 3) = 90y
Identify the "c" value of the following quadratic equation given below.
-8 = 2(x + 9)^2
Answers
[tex]\bf -8=2(x+9)^2\implies -8=2(\stackrel{\mathbb{F~O~I~L}}{x^2+18x+81})\implies \cfrac{-8}{2}=x^2+18x+81 \\\\\\ -4=x^2+18x+81\implies 0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+18}x\stackrel{\stackrel{c}{\downarrow }}{\boxed{+85}}[/tex]
Island A is 160 miles from island B. A ship captain travels 220 miles from island A and then finds that he is off course and 200 miles from island B. What bearing should he turn to, so he is heading straight towards island B?
Answers
Answer:
=135.53°
Step-by-step explanation:
The bearing that the captain should turn is the angle difference between the two islands from the position of the ship.
Let C be the position of the ship, then
AB is c=160
AC is b=220
BC is a=200
We use the cosine rule as follows:
c²=a²+b²-2ab Cos C
160²=200²+220²-2×200×220 Cos C
25600=88400-88000Cos C
88000 Cos C=88400-25600
88000Cos C=62800
Divide both sides by 88000.
Cos C=62800/88000
=0.7136
C=44.47°
He should turn (180°-44.47°)=135.53°
Answer:
135.53
Step-by-step explanation:
I got it correct on founders edtell
X=2
X=5
X=2, x=5
No solution
Answers
Answer:
The answer is C. x=2, x=-5
Step-by-step explanation:
Edge 2021
The solutions are 2 and -5.
Option C is the correct answer.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
[tex]12^{x^2 + 5x - 4}[/tex] = [tex]12^{2x + 6}[/tex]
This means,
Since both sides' base is the same.
x² + 5x - 4 = 2x + 6
x² + 5x - 2x - 4 - 6 = 0
x² + 3x - 10 = 0
Solve for x.
x² + 3x - 10 = 0
x² + (5 - 2)x - 10 = 0
x² + 5x - 2x - 10 = 0
x(x + 5) - 2(x + 5) = 0
(x + 5)(x - 2) = 0
x - 2 = 0 and x + 5 = 0
x = 2 and x = -5
Now,
The solutions are 2 and -5.
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Consider the following system of equations:
-1/3x^2 = -5/6 + 1/3y^2 and
5y^2 = 25/2 - 5x^2
How many solutions does the system have?
Answers
Answer:
The system has infinitely solutions
Step-by-step explanation:
we have
[tex]-\frac{1}{3}x^{2}=-\frac{5}{6}+\frac{1}{3}y^{2}[/tex]
[tex]\frac{1}{3}x^{2}+\frac{1}{3}y^{2}=\frac{5}{6}[/tex]
Multiply by 3 both sides
[tex]x^{2}+y^{2}=\frac{5}{2}[/tex] ----> equation A
The equation A is a circle centered at origin with radius [tex]r=\sqrt{5/2}\ units[/tex]
and
[tex]5y^{2} =\frac{25}{2}-5x^{2}[/tex]
[tex]5x^{2}+5y^{2} =\frac{25}{2}[/tex]
Divide by 5 both sides
[tex]x^{2}+y^{2} =\frac{5}{2}[/tex] ----> equation B
The equation B is a circle centered at origin with radius [tex]r=\sqrt{5/2}\ units[/tex]
Equation A and Equation B are the same
Therefore
The system has infinitely solutions
Answer:
infinitely many
Step-by-step explanation:
just took the assignment for
A "True or False" test has five questions.
If you guess the answers, what is the
probability that you will get exactly two
correct?
Answers
Answer:
5/16.
Step-by-step explanation:
The probability of getting a correct answer on one question is 1/2 and the probability of getting it wrong is 1 - 1/2 = 1/2.
The probability of the first 2 being correct and the next 3 wrong = (1/2)^5 = 1/32.
There are 10 possible combinations of this ( first wrong the 2nd and third right and last 2 wrong, etc).
So the required probability is 10 * 1 /32
= 10/32
= 5/16.
Jack and Susie want to save to buy a trampoline for their children. They each open a savings account that earns 1.5% a
year. Jack opens his account with $1,000, and Susie opens her account with $800.
X = number of years
The following functions represent the value of the savings accounts in x years
Jack's savings account: f(x) = 1000(1.015)*
Susie's savings account: g(x) = 800(1.015)
Which function represents the total amount Jack and Susie will save in x years?
200(1.015)
1800(1.015)
1800(1.015)2
1800(1.030)
Answers
Answer:
[tex]1,800(1.015)^{x}[/tex]
Step-by-step explanation:
we have
[tex]f(x)=1,000(1.015)^{x}[/tex]
[tex]g(x)=800(1.015)^{x}[/tex]
we know that
To find the function that represent the total amount Jack and Suzie will save in x years, adds f(x) and g(x)
so
[tex]f(x)+g(x)=1,000(1.015)^{x}+800(1.015)^{x}[/tex]
[tex]f(x)+g(x)=[1,000+800](1.015)^{x}[/tex]
[tex]f(x)+g(x)=1,800(1.015)^{x}[/tex]
Answer: 1,800(1.015)^{x}
Step-by-step explanation:
we have
f(x)=1,000(1.015)^{x}
g(x)=800(1.015)^{x}
we know that
To find the function that represent the total amount Jack and Suzie will save in x years, adds f(x) and g(x)
so
f(x)+g(x)=1,000(1.015)^{x}+800(1.015)^{x}
f(x)+g(x)=[1,000+800](1.015)^{x}
f(x)+g(x)=1,800(1.015)^{x}
What is the range of possible sizes for side x?
Answers
Answer:
1.6 < x < 9.6.
Step-by-step explanation:
Now x cannot be less than 5.6 - 4.0 = 1.6 as a triangle could not be formed if it were.
In fact x must be greater than 1.6.
Also x must be less than the sum of the other 2 sides.
So x must be less than 4.0 + 5.6 = 9.6.
Answer:
1.6 < x < 9.6
Step-by-step explanation:
The range of possible sizes for side x is 1.6 < x < 9.6.
5. A fan has three thin blades that spin to
produce a breeze. The diameter of the fan is
16 inches.
a. Determine the length of an arc between
two consecutive fan blades.
b. What is the area of each sector formed
by the radii passing through the center of
consecutive fan blades?
c. What is the angular velocity if the tip of
each blade in the fan moves 8m radians
in 2 seconds?
Answers
Answer:
a) The length of an arc between two consecutive fan blades is 16.76 inches
b) The area of each sector is 67.02 inches²
c) The angular velocity is 4m rad/sec
Step-by-step explanation:
* Lets explain how to solve the problem
- The fan has three thin blades that spin to produce a breeze
- The diameter of the fan is 16 inches
- The three blades divided the circle into three equal parts
- The circumference of the circle is 2πr
a)
∵ The diameter of the circle = 16 inches
∵ The radius of the circle is half the diameter
∴ The radius (r) = 1/2 × 16 = 8 inches
∵ The length of the circle = 2πr
∴ The length of the circle = 2π(8) = 16π
- The length of an arc between two consecutive fan blades is 1/3
the length of the circle
∴ The length of the arc = 1/3 × 16π = 16.76 inches
* The length of an arc between two consecutive fan blades is
16.76 inches
b)
- The area of a sector in the circle = [tex]\frac{x}{360}(\pi r^{2})[/tex]
where x is the central angle of the sector and r is the radius
of the circle
∵ The angle between each two consecutive blades = 360°/3
∴ x = 360°/3 = 120°
∵ r = 8 inches
∴ The area of each sector = [tex]\frac{120}{360}(\pi )(8^{2})=67.02[/tex]
* The area of each sector is 67.02 inches²
c)
∵ The angular velocity = Ф rad ÷ t, where Ф is the central angle
with radian measure and t is the time in seconds
∴ ω = Ф/t radian/second
∵ Ф = 8m radians
∵ t = 2 seconds
∴ ω = 8m ÷ 2 = 4m rad/sec
* The angular velocity is 4m rad/sec
Ethan rolls a 6 sided number cube. what is the probability that he gets a number less than 4?
A) 2/3
B) 1/2
C) 1/3
D) 1/6
Answers
B). 1/2
Step-by-step explanation:In this question, it's asking to find the probability of Ethan getting a side of the cube that is less than 4.
In this case, we know that Ethan is rolling a 6 sided number cube, meaning that the numbers on the cube will range from 1-6.
On the cube, we need to get the numbers that are less than 4.
1
2 ← These numbers are less than 4.
3
___
4
5
6
Knowing how many numbers are less than 4, we can solve the question.
We know that there are 3 numbers less than 4. So that will be our numerator.
There are 6 numbers in total, so that will be our denominator.
We can represent probability as a fraction.
Your fraction should look like this:
[tex]\frac{3}{6}[/tex]
We are not done yet, we would need to simplify the fraction.
To simplify, we would just divide the numerator and denominator by 3.
[tex]\frac{3}{6} \div \frac{3}{3}=\frac{1}{2}[/tex]
Once you're done solving, you should get [tex]\frac{1}{2}[/tex]
This means that answer choice B). 1/2 would be the correct answer.
I hope this helps you out.Good luck on your academics.Have a fantastic day!The probability that Ethan gets a number less than 4 by rolling the dice is 1/2.
What is the probability of an event?The probability of an event is the chance of happening that particular event.
The number of events in the sample space when rolling a dice is = 6.
The number of favorable events in that sample space = Getting a number less than 4 = 3.
Therefore, the probability of this particular event is
= 3/6
= 1/2
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Graph y < x2 - 3. Click on the graph until the correct graph appears.
Answers
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y< x^{2} -3[/tex]
The solution of the inequality is the shaded area below the dotted line of the quadratic equation [tex]y=x^{2} -3[/tex]
using a graphing tool
see the attached figure
The graph of the given function y < x² - 3 is attached below.
we have inequality that is a mathematical statement that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠).
Since we are given the inequality as;
y < x² - 3
We can write as;
y = x² - 3
These are used to describe relationships between quantities or to express constraints or conditions.
Therefore, the solution to the inequality is the shaded area below the dotted line of the quadratic equation.
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help with 1-9 , please!!!!
Answers
You just add normally.
2. -86
3. 89
4. 7
5. -44
6. -14
7. -48
8. 50
9. 70
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Answers:
1. 147+13=160
2. -55+(-31)= -55-31=-86
positive number and negative number= -negative number
3. 18+71=89
4. -14+21=7
Positive 7 because 21 is greater than -14
5. 12+(-56)= 12-56=-44
6. -4+18=14
7. -31+(-17)=-31-17=-48
8. 72+(-22)=72-22=50
9. 47+23=70