Answer:
A
Step-by-step explanation:
possible outcomes for choosing one marker is 1/19
so there for the answer is A
Determining a Number of Solutions
Quick
Check
Determine whether the systems have one solution, no solution, or infinitely many solutions.
3x - 2y = 3; 6x - 4y = 1
One Solution
No Solution
Infinitely Many Solutions
3x - 5y = 8,5x - 3y = 2
3x + 2y = 8; 4x + 3y = 1
3x - y = 3; 2x - 4y = 2
3x - 4y = 2, 6x - y = 1
Intro
Done
Answer:
No Solution
Step-by-step explanation:
For one solution;
it will be consistent and independent ( example, x = 1 and y = 2)
For no solution;
it will be inconsistent and independent ( example, 0 = 2)
For many solution;
it will be consistent and dependent ( example, 1 = 1, 2 = 2, y = y, x = x)
Given;
3x - 2y = 3 -------------- equation (1)
6x - 4y = 1 --------------- equation (2)
6: 18x - 12y = 18 -------------equation (3)
3: 18x - 12y = 3 --------------- equation (4), subtract (4) from (3)
--------------------------------------------
0 - 0 = 15
-----------------------------------------------
0 = 15
The solution is inconsistent and independent, because zero (0) cannot be equal to 15
Thus, the system has no solution
Answer:
ONE SOLUTION
3x-5y=8; 5x-3y=2
3x+2y=8; 4x+3y=1
NO SOLUTION
3x-4y=2; 6x-8y=1
3x-2y=3; 6x-4y=1
INFINITELY MANY SOLUTIONS
3x-6y=3; 2x-4y=2
Step-by-step explanation:
i got this right on edge
A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the
culture 6 days after inoculation?
Answer:
therefore the population of the culture is 2313
The area of a sector of a circle with a radius measuring 15 cm is 235.62 cm^2 . What is the measure of the central angle, to the nearest degree that forms the sector?
Answer:
120°
Step-by-step explanation:
The area of a sector of a circle is given by:
[tex]A = \frac{\alpha }{360} * \pi r^2[/tex]
where α = central angle of sector in degrees
r = radius of circle.
The radius of the circle is 15 cm and the area of the sector is 235.62 cm^2. Therefore:
[tex]235.62 = \frac{\alpha }{360} * \pi * 15^2\\\\84823.2 = 706.86 * \alpha \\\\=> \alpha = 84823.2 / 706.86\\\\\alpha = 120^o[/tex]
The central angle of the sector is 120°
Solve for x: 3 < x + 3 < 6
Answer:
0 < x < 3
Step-by-step explanation:
3 < x + 3 < 6
Subtract 3 from all sides
3-3 < x + 3-3 < 6-3
0 < x < 3
Steps to solve:
3 < x + 3 < 6
~Subtract 3 to all sides
3 - 3 < x + 3 - 3 < 6 - 3
~Simplify
0 < x < 3
Best of Luck!
town B is 40 km due north of town a what is the bearing of a from B
Answer:
180°
Step-by-step explanation:
In bearing the protractor is placed in the North-South direction(eastside) thus directly north is on a bearing of 0°.After you mark the point B. A will be directly south which is on a bearing of 180°
is the line through points P(-3,-2) and Q(2,3) perpendicular to the line through points R(10,-1) and S(15,-6)
Answer:
hope this helps you
We want to see if the two given lines are perpendicular or not.
We will see that yes, the lines are perpendicular.
First, let's define a general linear equation, it is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Two lines are perpendicular if the slope of one is equal to the inverse of the opposite of the slope of the other.
Also, if a line passes through two points (x₁, y₁) and (x₂, y₂) then the slope of the line is given as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So we can get the slopes of the two given lines, for line PQ we have:
[tex]a = \frac{3 - (-2)}{2 - (-3)} = 1[/tex]
For line RS we have:
[tex]a = \frac{-6 - (-1)}{15 - 10} = -1 = -(1/1)[/tex]
So you can see that the slope of line RS is equal to the inverse of the opposite of line PQ.
Then yes, the lines are perpendicular.
If you want to learn more, you can read:
https://brainly.com/question/18271653
The heights of 82 roller coasters have a mean of 285.2 feet and a population standard deviation of 59.3 feet. Find the standardized tests statistics and the corresponding p-value when the claim is that roller coasters are more than 290 feet tall.
Answer:
0.7673
Step-by-step explanation:
We have the following:
The null and alternative hypothesis is,
H0: m = 290
Ha: m> 290
x = 285.2
m = 290
sd = 59.3
n = 82
is m the mean, sd the standard deviation and n the population size
Now we calculate the value of z like this:
z = (x - m) / sd / (n ^ (1/2))
z = (285.2 - 290) / 59.3 / (82 ^ (1/2))
z = -0.73
now
P (z> -0.73) = 1 - P (z <-0.73)
we look at the normal distribution table
P = 1 - 0.2327 = 0.7673
Therefore the value of p is equal to 0.7673
Help help help fast plz plz this is graded
Answer:
120
Step-by-step explanation:
First, you notice that both the angles add up to 180 degrees because it is a straight line. Therefore, 2x+x+90=180. Now you have an equation to solve! Subtract 90 from both sides and combine like terms. 3x=90. Therefore, x=30. Now you plug x back in to find out m<DBC. DBC=x+90 which is 30+90= 120.
What is the area of this triangle? Enter your answer
Answer:
6
Step-by-step explanation:
3 is the bottom the height is 4 because if you go to the top and count it 4 the 3x4 / 2= 6
write 3/10 as a divison
Answer:
0.3
Step-by-step explanation:
3/10 = 3 : 10 = 0,3
Need help with this math question
Answer:
B. 46
Step-by-step explanation:
10% is equal to 1/10, so we have x/10 = 20. We multiply by 10 on both sides, leaving us with x = 200. 23% of 200 is equal to 46.
What is 13 out of 25 as a decimal?
Plzzz help
Answer:
0.52
Step-by-step explanation:
0.52 is a decimal and 52/100 or 52% is the percentage for 13/25.
hope this is helpful:)
Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.
13, 17, 9, 21
What is the standard deviation for the data?
Standard deviation: s = StartRoot StartFraction (x 1 minus x overbar) squared + (x 2 minus x overbar) squared + ellipsis + (x n minus x overbar) squared Over n minus 1 EndFraction EndRoot.
A.) 0
B.) 4
C) 2
D.) 26.7
Answer: B) 4
Step-by-step explanation:
Using the formula
Standard deviation = √( (Σ ( x - π)²)/n)
To get the standard deviation, first we workout the Mean which is the simple average of the data set
n = 4
(13 + 17 + 9 + 21) / 4 = 60/4 = 15
Mean(x) = 15
Then (x-π)²
13 - 15 = (-2)² = 4
17 - 15 = (2)² = 4
9 - 15 = (-6)² = 36
21 - 15 = (6)² = 36
Σ ( x - π)² = (4 + 4 + 36 + 36) = 80
Standard deviation = √( (Σ ( x - π)²)/n
= √ (80/4)
=√20
= 4.47
= 4
You are given the steps for constructing the bisector of an angle using a compass and a straightedge. Arrange the steps in the correct sequence
Step-by-step explanation:
position your compass at point A and using the same distance mark arcs on line AB(mark the point it meets the line D)and AC(mark the meeting point of the arc and the line E).Place your compass at D and draw an arc at the middle of the angle,using the same measurements position your compass at point E and draw an arc.Where the two arcs meet label F using a ruler draw a straight line from F to meet point A.
Note;the width of the compass when making the arcs should be the same always
a) Work out the sizes of the unknown angles and label them on
the diagram.
d
63°
a
b
C
h
e
g
Answer:
b/e/g=63
d/c/f/h=117
Step-by-step explanation:
b , e and g=63
d,c,f, and h = 63
Answer:
a=b=e=g= 63°
d=c=h=f= 180°-63°= 117°
determine the volume of a sphere with a diameter of 1.30m in maths
Answer:
1.15 m³
Step-by-step explanation:
i hope its correct and i hope its helpful
Step-by-step explanation:
hey can yuh show work by step by step...since its hard plzz
b) Find the value of 2a2 + 5b2 when a = -6 and b = 2
Answer:
-4
Step-by-step explanation:
2a2+5a2
2(-6)2=-24
5(2)2=20
-24+20=-4
Answer: -4
Step-by-step explanation:
(2x-6×2)(5×2×2)
-24+20
-4
Can someone help me with this?
Answer:
E= 52 degrees and F=21 degrees
(sorry)
Step-by-step explanation:
what is 2y to the power of 4 times 5y to the power of 5
please help 12 points reward
Answer:
50000y^9.
Step-by-step explanation:
(2y)^4 * (5y)^5
= 2^4 y^4 * 5^5 y^5
= 16y^4 * 3125y^5
= 50000y^9.
Sarah is carrying out a series of experiments which involve using mcreasing amounts of a chemical. In the
first experiment she uses 6g of the chenucal and in the second experiment she uses 7.8 g of the chemical
( Given that the amounts of the chemical used form an anthmetic progression find the total amount of
chemical used in the fust 30 experiments
() instead it is given that the amounts of the chemical used for a geometric progression Sarah has a
total of 1800 g of the chemcal avadlable show that the greatest muumber of experiments possible.
Satisfies the inequality
and use logarithms to calculate the sale of N
Sarah is carrying out a series of experiments which involve using increasing amounts of a chemical. In the first experiment she uses 6g of the chemical and in the second experiment she uses 7.8 g of the chemical
(i)Given that the amounts of the chemical used form an arithmetic progression find the total amount of chemical used in the first 30 experiments
(ii)Instead it is given that the amounts of the chemical used for a geometric progression. Sarah has a total of 1800 g of the chemical available. Show that the greatest number of experiments possible satisfies the inequality: [tex] 1.3^N \leq 91[/tex] and use logarithms to calculate the value of N.
Answer:
(a)963 grams
(b)N=17
Step-by-step explanation:
(a)
In the first experiment, Sarah uses 6g of the chemical
In the second experiment, Sarah uses 7.8g of the chemical
If this forms an arithmetic progression:
First term, a =6g
Common difference. d= 7.8 -6 =1.8 g
Therefore:
Total Amount of chemical used in the first 30 experiments
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d] \\S_{30}=\dfrac{30}{2}[2*6+(30-1)1.8] \\=15[12+29*1.8]\\=15[12+52.2]\\=15*64.2\\=963$ grams[/tex]
Sarah uses 963 grams in the first 30 experiments.
(b) If the increase is geometric
First Term, a=6g
Common ratio, r =7.8/6 =1.3
Sarah has a total of 1800 g
Therefore:
Sum of a geometric sequence
[tex]S_n=\dfrac{a(r^N-1)}{r-1} \\1800=\dfrac{6(1.3^N-1)}{1.3-1} \\1800=\dfrac{6(1.3^N-1)}{0.3}\\$Cross multiply\\1800*0.3=6(1.3^N-1)\\6(1.3^N-1)=540\\1.3^N-1=540\div 6\\1.3^N-1=90\\1.3^N=90+1\\1.3^N=91[/tex]
Therefore, the greatest possible number of experiments satisfies the inequality
[tex] 1.3^N \leq 91[/tex]
Next, we solve for N
Changing [tex] 1.3^N \leq 91[/tex] to logarithm form, we obtain:
[tex] N \leq log_{1.3}91\\N \leq \dfrac{log 91}{log 1.3}\\ N \leq 17.19[/tex]
Therefore, the number of possible experiments, N=17
plz hlp meeeee calculate the scale factor of ABC to XYZ. Enter answer as a whole number or as a fraction in lowest terms using the slash mark (/) for the fraction bar
Answer:
The scale factor is 1/5
Step-by-step explanation:
Each of the lengths of the lengths of this triangle are divided by 5 (or multiplied by 1/5)
Inscribed Angles - Find the value of x - WILL GIVE BRAINLIEST!
[tex]answer = 136 °\\ solution \\ x + 44 = 180(opposite \: angles \: of \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: a \: cyclic \: quadrilateral \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: are \: supplementary) \\ or \: x = 180 - 44 \\ x = 136° \\ hope \: it \: helps[/tex]
In a competition, 5 people can eat 20 steamed buns in 3 minutes 20 seconds.
Assuming that everyone consumes steamed buns at the same rate and that
the rate of consumption remains constant throughout the competition, find the
number of steamed buns 10 people can eat in 5 minutes.
Answer:
60 buns
Step-by-step explanation:
Assuming that the 5 people eat 20 steamed buns between them and not each, that is an average of 4 buns per person. this means that they eat one bun every 50 seconds. therefore, in 5 minutes one person can eat a total of 6 buns, meaning 10 people can eat 60.
Buses to Acton leave a bus station every 24 minutes. Buses to Barton leave a bus to Barton every 20 minutes A bus to Acton and a bus to Barton both leave the bus station at 9:00am When will a bus to Acton and a bus to Barton next leave the bus station at the same time?
Answer:
11 am
Step-by-step explanation:
Mehmut is 4 times as old as his brother, but
next year he will be only 3 times as old. Find
Mehmut's age now?
ALICIA CONYERS
7:20 AM
Answer:
Mehmut is 8 years old.
Step-by-step explanation:
From the statement we can get the following information, let M be Mehmut's age and b brother's age:
M = 4 * b
M + 1 = 3 * (b + 1)
We replace the first equation in the second and we are left with:
4 * b + 1 = 3 * b + 3
4 * b - 3 * b = 3 - 1
b = 2
Now, we replace to calculate M:
M = 4 * b
M = 4 * 2
M = 8
Mehmut is 8 years old.
Which sum does the model below represent?
+
+
+
OOOOO
a. 4+ (-7) = -3
b. 4 + 7 = 11
c. 8+(-3) = 4
d. 11+ (-4) = -3
David drove a distance (d) of 187 km, correct to 3 significant figures.
He used 28 litres of petrol (p), correct to 2 significant figures.
The petrol consumption (c) of a car, in km per litre, is given by the formula
C=
d
р
By considering bounds, work out the value of c for David's journey
to a suitable degree of accuracy.
You must show all your working and give a reason for your final answer.
Answer:
7
Step-by-step explanation:
LB of d = 186.5
UB of d = 187.5
LB of p = 27.5
UB of p = 28.5
186.5/28.5 = 6.54
187.5/27.5 = 8.81
The answer is 7 since both bounds round up to 7.
The value of c for the David journey is 7.
Calculation of the value of c:Since David drove a distance (d) of 187 km
So here the 3 significant figures should be
LB of d = 186.5
UB of d = 187.5
And,
LB of p = 27.5
UB of p = 28.5
Now the average should be
[tex]186.5\div 28.5[/tex] = 6.54
And,
[tex]187.5\div 27.5[/tex] = 8.81
So, The value of c for the David journey is 7.
Learn more about distance here: https://brainly.com/question/23561100
find the area of a rectangle with a width of 16 centimeters and a length of 55 centimeters
Answer:
The area of the rectangle is 880 cm
Step-by-step explanation:
Lenght = 55cm
Breadth/width=16cm
Area of rectangle= lenght×breadth
Area= 55×16
Area= 880
Hence, area of rectangle is 880cm
P.S - Mark me as the brainliest :D
What’s the answer??????????????????????
Answer:
see below
Step-by-step explanation:
A picture can explain a lot. The coordinates are shown in the attachment.
Positive angles are measured counterclockwise (CCW). Negative angles are measured clockwise. So, -3π/4 is the same as +5π/4, since a circle is 2π = 8π/4.
___
It can be useful to memorize this chart, or keep one like it for handy reference.
What is the factored form of 27a6+8g12?
Answer:
[tex]\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)[/tex]
Step-by-step explanation:
[tex]27a^6+8g^{12}[/tex]
[tex]\mathrm{Rewrite\:}27a^6+8g^{12}\mathrm{\:as\:}\left(3a^2\right)^3+\left(2g^4\right)^3[/tex]
[tex]\mathrm{Apply\:Sum\:of\:Cubes\:Formula:\:}x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)[/tex]
[tex]\left(3a^2\right)^3+\left(2g^4\right)^3=\left(3a^2+2g^4\right)\left(3^2a^4-3\cdot \:2g^4a^2+2^2g^8\right)[/tex]
[tex]=\left(2g^4+3a^2\right)\left(2^2g^8-3\cdot \:2g^4a^2+3^2a^4\right)[/tex]
[tex]=\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)[/tex]
Answer:
b
Step-by-step explanation:
correct on edge 2021
the other one isnt even an option