Answer:
given ; the product of two rational numbers = -28/81
one number is =14/27
let, another number be p/q
now, according to the question,
p/q×14/27= -28/81
or, p/q=(-28/81) /(14/27)
or, p/q =( -28/81) ×(27/14)
therefore, another number is -2/3.
hope its helpful...
What does it mean if P(A or B) equals 1?
[tex]P_(_A_o_r_B_)[/tex] = 1
This means that the probability of event A or event B of happening is 1 or certainly would happen.
Can someone please help
Answer:
(6, -4)
Step-by-step explanation:
If ABCD is dilated by a factor of 2, you multiply the coordinates by 2. For the coordinate D', you would multiply 3 by 2 to get 6 and you would multiply -2 by 2 to get -4. Answer: (6, -4)
Which of the following is an example of exponential growth or decay?
Answer:
Since in option B, the bacteria are growing exponentially, B would be the correct answer to this question.
Step-by-step explanation:
A top view of two walls of a room is represented by the x and y-axis, with units in meters. A ball is rolled from the point (0,15). It hits the adjacent wall at (20,0). Find the absolute value function that models the path of the ball. Determine when the ball passes within 3 meters of the wall represented by the x-axis.
Answer:
The absolute value function that models the path of the ball is
[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]
The coordinates when the ball passes within 3 meters of the wall is [tex]\left (3, 12\tfrac{3}{4} \right )[/tex]
Step-by-step explanation:
Given that the ball rolls without other external influences, we have;
(y - 0) = (x - 15)
The slope, m is give by the relation;
m = (y₂ - y₁)/(x₂ - x₁)
m = (15 - 0)/(0-20) = -3/4
The equation of the path of the ball in slope and intercept form is presented as follows;
y = m·x + c
15 = -3/4 ×0 + c = 15
c = 15
The absolute value function that models the path of the ball is then;
[tex]f(x) = \left | -\frac{3}{4}\cdot x + 15 \right |[/tex]
The vale of the function when x = 3 is given by the relation
[tex]f(x) = \left | -\dfrac{3}{4}\times 3 + 15 \right | = \dfrac{51}{4}[/tex]
Therefore, we have the coordinates as [tex]\left (3, 12\tfrac{3}{4} \right )[/tex].
An arc whose measure is greater than 180° is called a
A. minor arc
B. major arc
cu semicircle
SUBMIT
Arcs are curves that are extracted from the circumference of a circle
An arc whose measure is greater than 180° is called a major arc
How to determine the type of the arcAn arc is divided into two:
The major arcThe minor arcThe major arc has an angle measure greater than 180 degrees, while the minor arc is less than 180 degrees
Hence, the true statement is major arc
Read more about arcs at:
https://brainly.com/question/2005046
Answer: major ach
Step-by-step explanation:
find m
4x-3y=17
-78 + my = 2
Answer:
Step-by-step explanation:
Given: 4X-3Y=17
so, 4x-17 = 3Y
=> Y = (4X-17)/3
Substituting the value in second equation, we get,
=> -78 + m(4x-17)/3 = 2
=>2+78 = m(4x-17)/3
=> 80*3 = m(4x-17)
=>m= 240/(4x-17)
Hope It Helps!!
It takes 20 men 60 days to complete a building work.How many days longer will It take 15 men, assuming they work all work at the same rate?
Answer:
80days
Step-by-step explanation:
20m=60days
15m(will take more days)
20÷15×60 = 80 days
Select the correct answer.
Which equation represents a line that is perpendicular to line MN?
10
M
N
+++
-10 -8 -6
-4
-2
N
02
8
10
-2
-4
-6
--8
--10
A y =
B.
= -x + 9
y = x + 6
c. y = – 42 - 7
Dy = 40 - 6
Answer:
D). Y = 4x -6
Step-by-step explanation:
Let's get the gradient of line MN
Gradient= (y2-y1)/(x2-x1)
Gradient=( 6-3)/(-7-5)
Gradient= 3/-12
Gradient= -1/4
For a line to be perpendicular to line MN , it gradient multiplied with line MN gradient will be equal to -1
MM'= -1
M = gradient of line MN
M' = gradient of the unknown line
MM'= -1
-1/4M'= -1
M' =( -1*4)/-1
M' = 4
So the line will have a gradient of 4
That is, the equation well be in the form of
Y= 4x +c
Where c can be a positive or negative intercept or constant.
The correct option is
D). Y = 4x -6
Solve the system of equations.
Answer:
C. (-4, 11) and (2, -1)Step-by-step explanation:
[tex]x^2-5=-2x+3\\\\x^2+2x-8=0\\\\a=1\,,\ b=2\,,\ c=-8\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot(-8)}}{2\cdot1}=\dfrac{-2\pm\sqrt{4+32}}{2}=\dfrac{-2\pm\sqrt{36}}{2}=\dfrac{-2\pm6}{2}\\\\x_1=\dfrac{-2-6}2=\dfrac{-8}2=-4\\\\y_1=-2x_1+3=-2(-4)+3=8+3=11\\\\(-4\,,\ 11)\\\\x_2=\dfrac{-2+6}{2}=\dfrac{4}2=2\\\\y_2=-2x_2+3=-2\cdot2+3=-4+3=-1\\\\(2\,,\ -1)[/tex]
Which graph represents the function h(x) = |x| + 0.5? On a coordinate plane, an absolute value graph has a vertex at (0, 1.5). On a coordinate plane, an absolute value graph has a vertex at (negative 0.5, 0). On a coordinate plane, an absolute value graph has a vertex at (0, 0.5). On a coordinate plane, an absolute value graph has a vertex at (negative 1.5, 0).
Answer:
On a coordinate plane, an absolute value graph has a vertex at (negative 0, 0.5).
Step-by-step explanation:
h(x) = |x| + 0.5
Has its vertex at h(x) = 0, h(x) = |x| + 0.5
0 = |x| + 0.5
|x| = -0.5
So x = -0.5
So, the vertex is at (-0.5, 0)
The graph that represents [tex]h(x) = |x| + 0.5[/tex] is (a) on a coordinate plane, an absolute value graph has a vertex at (0, 1.5)
The function is given as:
[tex]h(x) = |x| + 0.5[/tex]
An absolute function is represented as:
[tex]h(x) = |x - h| + k[/tex]
Where:
[tex]Vertex=(h,k)[/tex]
By comparison:
[tex](h,k) = (0,0.5)[/tex]
i.e. the vertex of function h(x) is (0,0.5)
Hence, the graph that represents [tex]h(x) = |x| + 0.5[/tex] is (a)
Read more about absolute functions at:
https://brainly.com/question/7515527
PLEASE HELP ME!! Whoever answers best is the brainlest! And, please show your work. Thank you! What is the value of the expression 9 − (1/2) ^4 ⋅ 48? (A)1 (B)3 (C)6 (D)9
Answer:
C. 6
Step-by-step explanation:
Use Order of Operations BPEMDAS to help you solve:
9 - 1/16(48)
9 - 3
6
Which preferred pairs shoes an equivalent ratio of pounds to dollars?
Answer: 40, 36
Step-by-step explanation:
the first dot is 5/4
the second dot is 10/8
the second 15/12
the fourth dot is 20/16
They all are equivalent to 40,36
Answer:
25,20
Step-by-step explanation:
It’s right
If a family threw away 2.4 Kg of aluminum in a month, how many cans did they throw away?
Answer:
150 cans were thrown away
Step-by-step explanation:
If the weight of 10 aluminum cans=0.16 kilogram
Each can weighs=0.16 kilograms/10
=0.016kg per can
If the family threw away 2.4 kilogram of aluminum in a month,
How many cans did they throw away?
Total cans thrown away= Total kilogram of cans/each kilogram of cans
=2.4kg/0.016kg
=150 cans
150 cans were thrown away
PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1²+3
Step-by-step explanation:
I'm not to sure I hope this helped.
. If g= 12 and h = 19, what is the value of
3h(h-g)?
A. 13
B. 43
C. 252
D. 399
Answer:
D. 399
Step-by-step explanation:
3x19(19-12)
57x7=399
HELP WITH MATH PLS!!!
Answer:
Option A, y=8
Step-by-step explanation:
If you graph each of the equations, you will find that y=8 is the only line that crosses through the point (-3,8)
Also,
If you notice the given point, the y-coordinate is 8 indicating that the point lies on the line that has y as 8
Hope that helps!!
HELP ME ASAP I BEG PLEASE
Answer:
Step-by-step explanation:
#2: Amber is correct. The distribution is skewed to the left.
1. The diagram below is an equilateral
triangle of side 6cm each. The
height is 3 3cm. What is the
distance round it?
Answer:
can I see the diagram please
Evaluate. 33 + 11 - 10 ÷ 2 × 4 w = a0
Answer:
24
Step-by-step explanation:
33 + 11 - 10 ÷ 2 × 4
Division is first.
33 + 11 - 5 × 4
Multiplication.
33 + 11 - 20
Add or subtract.
44 - 20
= 24
Twice the difference of a number and 5 is equal to three times the sum of the number and 2. Find the number.
Answer:
The number is - 16Step-by-step explanation:
Let the number be x
Twice the difference of a number and 5 is written as
2( x - 5)
three times the sum of the number and 2 is written as
3( x + 2)
Equate them
We have
2(x - 5) = 3(x + 2)
Expand
2x - 10 = 3x + 6
Group like terms
2x - 3x = 16 + 10
- x = 16
Multiply through by - 1
x = - 16
Hope this helps you
x - 1 = ( 2 - x ) ^2
Answer:
x=1
Step-by-step explanation:
x-1=(2-x)^2
x-1=4-2x-2x+x^2
x-1=4-4x+x^2
5x+x^2=5
x^2=1
x=1
Answer:
x = 2 , x = 3Step-by-step explanation:
x - 1 = ( 2 - x )²
Expand the terms in the bracket
That's
x - 1 = x² - 4x + 4
x² - 4x - x + 4 + 1 = 0
x² - 5x + 6 = 0
Solve the quadratic equation
x² - 5x + 6 = 0
(x - 2) (x - 3) = 0
x = 2 , x = 3Hope this helps you
Can some please help me!!!. I only have 1 hour to complete it.
Answer:
The correct option is;
ASA
Step-by-step explanation:
The given information are;
1. ∠A ≅ ∠D, 1. Given
2. [tex]\overline{CD}\left | \right |\overline{AB}[/tex], 2. Given
3. [tex]\overline{CB}\cong \overline{BC}[/tex], 3. refl. prop.
4. ∠ABC ≅ ∠ DCB, 4. Alt int. ∠s are ≅
5. ΔABC ≅ ΔDCB, 5. Angle Side Angle ASA rule of congruency
The conditions for two triangles to be congruent includes;
1. All sides equal or SSS rule
2. Side Angle Side or SAS rule
3. Angle Side Angle or ASA rule
4. Angle Angle Side or AAS rule
5. Right angle Hypotenuse Side or RHS also known as Hypotenuse Leg, HL rule
A school is selling tickets to a drama performance. On the first day of ticket sales the school sold 3 adult tickets and 1 child ticket for a total of $38. On the second day, the school sold 3 adult tickets and 2 child tickets for a total of $52.
Which of the following system of linear equations could model this situation?
Answer:
System of linear equations
[tex]\left\{\begin{matrix} 3a+c=38 \\\\ 3a+2c=52 \end{matrix}\right.[/tex]
a: adult ticket price and c: child ticket price
Step-by-step explanation:
This system of equations can be used to find the price of the adult and child tickets.
We have two equations (one for each day) and two unknowns (adult ticket price and child ticket price).
Let a: adult ticket price and c: child ticket price,
we have for the first day that 3 adult tickets and 1 child ticket adds $38:
[tex]3a+1c=38[/tex]
and for the second day we have that 2 adult tickets and 2 child tickets adds $52:
[tex]3a+2c=52[/tex]
If we write this as a system of equations, we have:
[tex]\left\{\begin{matrix} 3a+c=38 \\\\ 3a+2c=52 \end{matrix}\right.[/tex]
Clinical literature reports that the duration of a typical cold is roughly 18 days. Researchers wanted to know if people tend to underestimate the duration of a typical cold, on average. They surveyed a random sample of 352 healthy adults in Georgia and asked them how long they think that a typical cold lasts. The researchers reported a 95% confidence interval of 6.9 to 8.2 days for the mean expected duration of typical cold. The researchers reported that the answers to this question were strongly right-skewed. The 95% confidence interval (6.9, 8.2) they obtained is
Answer:
The 95% confidence interval (6.9, 8.2) they obtained means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".
Option B from the complete Question.
Step-by-step explanation:
Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample mean) ± (Margin of error)
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error of the mean)
Critical value will be obtained using the t-distribution if there is no information provided for the population standard deviation and it is obtained from the z-tables if the population standard deviation is known or the sample size is large enough that the sample properties can be approximated to be the same as the population properties.
Standard error of the mean = σₓ = (σ/√n)
σ = standard deviation of the sample
n = sample size
Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]
So, the confidence interval (6.9, 8.2) obtained in the question means that "We are 95% confident that the population mean duration is between 6.9 and 8.2 days".
Hope this Helps!!!
Plz help fast Question 1(Multiple Choice Worth 5 points) (8.01 LC) Two lines, A and B, are represented by the equations given below: Line A: x + y = 6 Line B: x + y = 4 Which statement is true about the solution to the set of equations? There are infinitely many solutions. There is no solution. It is (6, 4). It is (4, 6).
Answer:
(B) There is no solution.
Step-by-step explanation:
Given the two lines A and B where:
[tex]L$ine A: x + y = 6 \implies y=6-x\\$Line B: x + y = 4 \implies y=4-x\\$Therefore:$\\6-x=4-x\\-x+x=4-6\\0=-2\\$Since, $ 0\neq -2,$ there is no solution.[/tex]
The correct option is B.
Answer:
A
Step-by-step explanation:
Just took test, can I have Brainliest.
Write the expression in simplest form. (-11/2x+3)-2(11/4x-5/2)
Answer:
-11x+8 or 8-11x
Step-by-step explanation:
Un ascensor sube desde el primer piso al quinto piso, baja al segundo, sube al octavo. Si cada piso tiene 3 metros de altura, ¿cuántos metros recorrió el ascensor?
Answer:
El ascensor recorrió unos 39 metros
Step-by-step explanation:
Segun la pregunta cada cada piso tiene 3 metros de altura, por lo tanto para calcular los metros que recorrió el ascensor tenemos que hacer el siguiente calculo:
metros desde el primer piso al quinto piso=3 metros*4=12 metros
metros desde el quinto piso al segundo piso=3 metros*3=9 metros
metros desde el segundo piso al octavo piso=3 metros*6=18 metros
Por lo tanto los metros que recorrió el ascensor=12 metros+9 metros+18 metros
metros que recorrió el ascensor=39 metros
El ascensor recorrió unos 39 metros
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.
Answer:
42.1
Explanation step-by-step:
Working out the lenght of the blue-dashed line:
SOH
47 is the Hypotenuse.
the blue line is the adjacent.
adjacent= Cos(30) x47
adjacent= 40.7
Working out x :
40.7 is the opposite this time.
x is the adjacent.
x = 40.7/ Tan(44)
x = 42.1
Find the length of side a
Answer:
a = 8.
Step-by-step explanation:
a^2 + b^2 = c^2
b = 6; c = 10
a^2 + 6^2 = 10^2
a^2 + 36 = 100
a^2 = 64
a = plus or minus 8
Since side lengths can't be negative, a = 8.
Hope this helps!
If c+1/d=5 , what is the value of 30d/2c+2
Answer:
3
[tex]d\in R,\hspace{5}d\neq 0[/tex]
Step-by-step explanation:
You can solve for any variable. From the first equation, let's solve for c :
[tex]\frac{c+1}{d} =5\\\\c+1=5d\\\\c=5d-1[/tex]
Now, replace the value of c into the other equation:
[tex]\frac{30d}{2c+2} \\\\\frac{30d}{2(5d-1)+2} \\[/tex]
Using distributive property
[tex]\frac{30d}{10d-2+2} =\frac{30d}{10d} =3[/tex]
However, keep in mind that this is true for:
[tex]d\in R,\hspace{5}d\neq 0[/tex]