Answer:
m = 1/2
Step-by-step explanation:
The given equation of line is :
2x – 4y = 9 ..(1)
We need to find the slope of the line. The general equation of a line is given by :
y = mx + c ..(2)
Where
m is the slope of line
Equation (1) can be rearranged as follow :
-4y = 9-2x
4y = -9+2x
or
4y = 2x-9
Divide both sides by 4.
[tex]\dfrac{4y}{4} = \dfrac{2x}{4}-\dfrac{9}{4}\\\\y=\dfrac{1}{2}x+(\dfrac{-9}{4})[/tex] ..(3)
Now comparing equation (2) and (3) we get :
[tex]m=\dfrac{1}{2}[/tex]
So, the slope of the line is 1/2.
Table I contains outputs of the function f(x) = b* for some 2 values, and Table Il contains outputs of the
function g(x) = log: (x) for some e values. In both functions, b is the same positive constant.
Fill in the missing values in the tables. If necessary, round your answer to three decimal places.
Table 1: 1.683 Table 2: 9
The missing values in the table will be 11.452.
What is a logarithm?Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.
The given data from the table;
[tex]\rm f(x)=b^x[/tex]
For the first function;
[tex]\rm b^(0.683)= 3 \\\\ b= 4.995[/tex]
The blank data is found as;
[tex]\rm b^x = 8 \\\\ \rm (4.995)^x = 8 \\\\ x \ log \ 4.995 =8 \\\\ x=11.452[/tex]
Hence the missing values in the table will be 11.452.
To learn more about the logarithm refer to the link;
https://brainly.com/question/7302008
(10 + 2)² + (6 -14÷7) =
Answer:
148
Step-by-step explanation:
12 x 12 + (6-2)
144 + 4 = 148
Hope that helps!
12² + 2 = 144 + 4 = 148
Answer = 148
According to the priority of the process, first we do inside the brackets and then we get the exponent.
I hope I got it right, I'm trying to improve my English a little :)
Greetings from Turkey:)#XBadeXHelp Me Please.................
Answer:
[tex]x=-15.8994[/tex]
Step-by-step explanation:
Skills needed: Solving one variable equations, Multiplication
1) We are given: [tex]-11.818=-7+\frac{x}{3.3}[/tex], and we need to solve for "[tex]x[/tex]"
2) In order to do this, you need to isolate the variable. In other words, you need to make sure the term involving "[tex]x[/tex]" is on one side of the equation, while everything else is on the other side.
In this case, the term involving "[tex]x[/tex]" is: [tex]\frac{x}{3.3}[/tex] In order to isolate [tex]\frac{x}{3.3}[/tex], you need to get rid of the "-7" on the right side. To get rid of it, we can add 7 to both sides.3) [tex]-11.818+7 = -7+\frac{x}{3.3} +7[/tex]
[tex]-11.818+7=-4.818[/tex]
-7 and 7 on the right side cancel out.
4) So you are left with: [tex]-4.818=\frac{x}{3.3}[/tex]
To get "[tex]x[/tex]", you need to multiply both sides by 3.3If you do this, the denominator will get cancelled out, leaving us with "[tex]x[/tex]" equaling a value.5) So then: [tex]-4.818 * 3.3 = x[/tex] (that star sign in between -4.818 and 3.3 is a multiplication sign)
[tex]-4.818*3.3 = -15.8994[/tex], so [tex]x = -15.8994[/tex]
Hope this helps and have a nice day!! :] :) :D
Decide if the function is an exponential function. If it is, state the intial value and the base. y = 5 ^ x
Answer:
B
Step-by-step explanation:
Match the tangent and sine angles to their expressions.
Answer:
1) [tex]sin \left(\dfrac{- \pi}{12} \right) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]
2) [tex]tan\left(\dfrac{ \pi}{12} \right) = 2 - \sqrt{3}[/tex]
3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = 2 + \sqrt{3}[/tex]
Step-by-step explanation:
1) [tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ})[/tex]
sin(-15°) = sin(30° + (- 45°)) = sin(30°)cos(-45°) + cos(30°)sin(-45°)
sin(30°)cos(-45°) + cos(30°)sin(-45°) = 1/2 × (√2)/2 + (√3)/2 × (-√2)/2
1/2 × √2/2 + √3/2 × -√2/2 = (√2)/4 - (√6)/4 = ((√2) - (√6))/4
sin(-15°) = ((√2) - (√6))/4
[tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ}) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]
2) [tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ})[/tex]
tan(15°) = tan(45° + (-30°)) = (tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°))
(tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°)) = ((-1/√3) + 1)/(1 - (-1/√3))
((-1/√3) + 1)/(1 - (-1/√3)) = (3 - √3)/(3 + √3) = (3 - √3)·(3 -√3)/((3 - √3)·(3 + √3))
(3 - √3)·(3 -√3/((3 - √3)·(3 + √3)) = (9 - 6·√3 + 3)/(9 - 3) = (12 - 6·√3)/6
(2 - √3)
[tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ}) = 2 - \sqrt{3}[/tex]
3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ})[/tex]
tan(75°) = tan(30° + 45°) = (tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°))
(tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°)) = ((1/√3) + 1)/(1 - 1/√3)
((1/√3) + 1)/(1 - 1/√3) = (3 + √3)/(3 - √3) = (3 + √3)·(3 +√3/((3 - √3)·(3 + √3))
(3 + √3)·(3 +√3/((3 - √3)·(3 + √3)) = (9 + 6·√3 + 3)/(9 - 3) = (12 + 6·√3)/6
(12 + 6·√3)/6 = 2 + √3
[tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ}) = 2 + \sqrt{3}[/tex]
I need help please?
Answer:
B
Step-by-step explanation:
the blue parabola shows (1/4x)^2, the red shoes x^2, you can see the horizontal stretch, hope this helps :)
Tyrone used 15 centimeters of tape to wrap 5 presents. How many presents did Tyrone wrap if he used 42 centimeters of tape? Assume the relationship is directly proportional.
Answer: 14 presents
Step-by-step explanation:
5 presents 42 cm tape
——————I-———————.
15 cm tape 1
= (5x42) /15 = 14 presents
Help&EXPLAIN
•••••••••••••••••••
Answer:
The surface area is 200.96 square feet
Step-by-step explanation:
Given
[tex]r = 2[/tex]
[tex]h =14[/tex]
Required: Determine the surface area
This is calculated using:
[tex]SA = 2\pi r^2 + 2\pi rh[/tex]
So:
[tex]SA = 2 * 3.14 * 2^2 + 2 * 3.14 * 2 * 14[/tex]
[tex]SA = 25.12 + 175.84[/tex]
[tex]SA =200.96[/tex]
A weather station on the top of a mountain reports that the temperature is currently 14°C and has been falling at a constant rate of 9°C per hour. If it continues to fall at this rate, find each indicated temperature. What will the temperature be in 2 hours? What will the temperature be in 5 hours? What will the temperature be in half an hour?
Answer: 2 hours=6 degrees C
5 hours=-31 degrees C
Half an hour=9.5 degrees C
I hope this helps. Sorry if I made a mistake. Good luck!
Step-by-step explanation:
9 x 2 hours = 18 C 14-8= 6 degrees C
9 x 5 hours = 45 C 14-45= -31 degrees C
9 x 0.5 = 4.5 C 14-4.5= 9.5 degrees C
Kelly wants to plant flowers on the edge of a circular flowerbed around a tree. If the radius of the flowerbed is 2 feet, and she wants to place the
plants approximately 3 feet apart. How many flower plants should she buy?
A
2 flowers
B
3 flowers
D
4 flowers
5 flowers
Answer:
Divide the given diameter by 2 to obtain the radius in feet.
Divide the radius in feet by 3 to obtain the radius in yards.
Square the radius and multiply the result by an approximation of suitable for your required level of precision. This calculation will provide you with the area of the circle in square yards.
Multiply the calculated area by 13 and round to the nearest whole number. (unless you think the hero of this story knows of a nursery that will sell him fractional parts of a plant)
Notes on approximation of for this problem. Either , , or any representation of to greater precision will result in the same number of plants after rounding to the nearest whole number of plants.
John
Step-by-step explanation:
Stefan I calculated the mean absolute deviation for the data set 32,4,12,40,20 and 24
Answer:
Ok?
Step-by-step explanation:
help pls
a quadrilateral with all sides congruent and all angles required to be equal to 90 us called a
Answer:
square
Step-by-step explanation:
Hope this helps.
Answer:
D
Step-by-step explanation:
2. Describe the role of the line of reflection in a transformation. (Lesson 2)
Answer:
It pretty much just mirrors the image or points but on the other side of the line of reflection :D
Step-by-step explanation:
volume of rectangular prism with length of 9in and width of 1 1/3in and height of 4 2/3in
Answer:
V≈55.98
Step-by-step explanation:
V=WHL=1.33x4.67x9≈55.978
Martha has three rows of flowers. There were n flowers in each row. How many total flowers were in each row?
Answer:
n to the 3rd power, I think
Find the value of y. *
40
80
140
100+2y = 180
2y=180-100
2y=80
y=40
Which expressions are equivalent to equivalent to (V84 164 ) ? Select all that apply.
Answer:
simplifying this expression (√8^4 × √6^4)^3/2 = 110592
so 2^12 ×3^3= 110592
similar 2^9 ×6^3 =110592
Find the magnitude of the vector from the origin to (-7, -5) and write the vector as the sum of unit vectors.
Answer:
b. 75,71 +57
Step-by-step explanation:
edge
Answer:
B on edg2021
Step-by-step explanation:
just took the test
Which one of the following fractions is the greatest?
A. 1/2
B. 2/3
C. 3/4
D. 5/12
Answer:
[tex]c. \: \frac{3}{4} [/tex]
Step-by-step explanation:
[tex] \frac{1}{2} = 0.5 \\ \frac{2}{3} = 0.667 \\ \frac{3}{4} = 0.75 \\ \frac{5}{12} = 0.417[/tex]
Eighth grade ) Y 1 Find the slope of a graph D7M
Look at this graph:
AY
100
90
80
70
60
00
50
40
S
OL
30
20
10
0
10
20
30
40 50
60
70 80
90 100
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
2/3
Step-by-step explanation:
I used the "rise over run" technique. You find the change in y, over the change in x
Question 4
(05.05)What is the rate of change for the linear relationship modeled in the table
Answer:
-1/2
Step-by-step explanation:
Simplify the following expression:
6b + 3ab + 4b + 3
O 2b
O 10b + 3ab + 3
O 13b + 3
06b + 3ab + 4b + 3
Answer:
6b+4b first because you have to combine like terms so 10b and the others aren't like terms so you just plug them in so 10b+3ab+3
x to the second power is 49 what is x?
Answer:
7 or -7
Step-by-step explanation:
the question is asking for x to to the second power which is x squared or x^2
so setting x^2=49
square root both sides of the equation so that x is by itself and the other side is just ±√(49). which ±√49 is just 7 or -7
Hope that helps :)
Please gve brainliest
Solve for x to the nearest tenth
Carlos is making some observations from the roof of a building. Which angle is the angle of elevation from the car to
Carlos?
a ZPKI
b. ZJIK
C. ZPIK
d. ZKPI
Please select the best answer from the choices provided
B
Submit
Answer:
PIK is the angle of elevation from car to Carlos.
Answer:
C.
Step-by-step explanation:
find the distance between points u and v in the coordinate plane
Answer:
there is no info
Step-by-step explanation:
The governor's approval rating dropped by 40% to 18%. What was his approval rating before?
Answer:
58%
Step-by-step explanation:
58 cuz 40+18=58
Name two pairs of adjacent angles and two pairs of vertical angles in
the figure.
Can anyone help with 1 and 2?
Answers are
1.
∠ABC and ∠EBD are vertical angles.
∠ABE and ∠CBD are vertical angles.
∠ABE and ∠DBE are adjacent angles.
∠ABC and CBD are adjacent angles.
2.
∠LMN and <RMQ are vertical angles.
∠SML and ∠QMP are vertical angles.
∠LMN and ∠PMN are adjacent angles.
∠NMP and ∠PMQ are adjacent angles.
Adjacent and vertical angles:
Adjacent angles: Two angles with a common arm and vertex are called adjacent angles.
They share a common arm and common vertex.
Adjacent angles are not always equal in measure
Vertical angles: When two lines intersect each other, then the pair of opposite angles formed at the vertex are called vertical angles.
They share a common vertex, but no common arm.
Vertically opposite angles are equal in measure.
(Here)
For question - 1,
∠ABC and ∠EBD are vertical angles.
∠ABE and ∠CBD are vertical angles.
∠ABE and ∠DBE are adjacent angles.
∠ABC and CBD are adjacent angles.
For question - 2,
∠LMN and <RMQ are vertical angles.
∠SML and ∠QMP are vertical angles.
∠LMN and ∠PMN are adjacent angles.
∠NMP and ∠PMQ are adjacent angles.
Learn more about Adjacent angles and vertical angles here:
https://brainly.com/question/12838185?referrer=searchResults
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Mean and standard deviation of sample proportions
Suppose that 35% of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 30 students from the population of 750 students at the school and finds that 40% of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this. Let p represent the proportion of a sample of 30 students in the school who can sing their national anthem correctly. What are the mean and standard deviation of the sampling distribution of p?
Answer: D
Suppose that 35\%35%35, percent of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 303030 students from the population of 750750750 students at the school and finds that 40\%40%40, percent of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this.
Step-by-step explanation: Khan Academy Explanation
The mean and standard deviation is given by -
μ = 0.35 and σ = 0.09.
What is mean, median and mode in statistics?Mean : The "average" number; found by adding all data points and dividing by the number of data points.Median : The middle number; found by ordering all data points and picking out the one in the middle (or if there are two middle numbers, taking the mean of those two numbers).Mode : The most frequent number—that is, the number that occurs the highest number of times.Given is that suppose that 35% of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 30 students from the population of 750 students at the school and finds that 40% of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this. Let {p} represent the proportion of a sample of 30 students in the school who can sing their national anthem correctly.
The standard deviation is given by → [tex]$\sigma={\sqrt {\frac {\sum(x_{i}-{\mu})^{2}}{N}}}[/tex]where -
{σ} = population standard deviation
{N} = the size of the population
x{i} = each value from the population
{μ} = the population mean
The mean and standard deviation is given by -
μ = 0.35
σ = √(0.35)(0.65)/(30) = 0.48/5.5 = 0.09
σ = 0.09
Therefore, the mean and standard deviation is given by -
μ = 0.35 and σ = 0.09
To solve more questions on statistics, visit the link below -
brainly.com/question/17421223
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X and Y are mathematically similar chocolate boxes.
Y
X has a volume of 130 cm^3 and a surface area of 202^2 cm?.
The volume of Y is 638.69 cm^3.
What is the surface area of Y?
Answer:
992.43 cm²
Step-by-step explanation:
From the question given above, the following data were obtained:
Volume of shape X (Vₓ) = 130 cm³
Surface area of shape X (SAₓ) = 202 cm²
Volume of shape Y (Vᵧ) = 638.69 cm³
Surface area of shape Y (SAᵧ) =?
The surface area of shape Y can be obtained as follow:
Since the shape are similar, then:
Vₓ / Vᵧ = SAₓ / SAᵧ
130 / 638.69 = 202 / SAᵧ
Cross multiply
130 × SAᵧ = 638.69 × 202
130 × SAᵧ = 129015.38
Divide both side by 130
SAᵧ = 129015.38 / 130
SAᵧ = 992.43 cm²
Thus, surface area of shape Y is 992.43 cm²