Which graph shows the effect of changing the slope of the line
y = 1/2x - 3 to 2?
Picture linked below if you want
Answer:
A
Step-by-step explanation:
Y intercept is -3
Rise 2 run 1
Given h(x)=-x+2h(x)=−x+2, find h(4)h(4).
Answer:
(-4 + 2 • h(4))^2
Step-by-step explanation:
h(4)h(4)
↓
h(4) • h(4) = (-4 +2 • h(4)) • (-4 +2 • h(4))
↓
Calculate
(-4+2× h(4)) × (-4+2× h(4))
Simplify using exponent rule with same base
a^n • a^m = a^n+m
(-4+2× h(4))^2
I hope this helps out.
Decide whether the statement is sometimes true, always true, or never true.
Use 1-2 sentence to explain your reasoning.
"The slope of the linear regression line can be calculated using any two points in the data."
The statement "The slope of the linear regression line can be calculated using any two points in the data." is always true for any two points.
What is regression line?Linear regression shows the relationship between two variables by fitting a linear equation to observed data. One variable is considered to be an explanatory variable, and the other is considered to be a dependent variable.
A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable.
Firstly, as per difinition the equation of linear regression line is
y= a + bx, where b is the slope of the line and a is intercept .
The formula to calculate the slope of the line be,
[tex]b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^{2}) - (\sum x)^2 }[/tex]
here n represent the number of data given in a question, x and y are the two points.
If we look at the formula with point x and y the slope can't be calculated.
Also, the equation of linear regression line , y= a+ bx also contain two points (x, y).
As per the discussion it is not possible to calculate the slope of linear regression line without two points.
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Describe how to translate the graph of y=√x to obtain the graph of y=√x+2
A.shift right 2 units
B.shift left 2 units
C.shift up 2 units
D.shift down 2 units
Answer:
D
Step-by-step explanation:
Shift down 2 units, you want to make the graph only move in the y direction and take it back to the origin
Please Help! Math! Look at picture!
Answer:
A' = (-4, -2.5)
B' = (1.5, 2.5)
C' = (-1, 5)
Step-by-step explanation:
Dilation using the origin as a center means that we multiply each coordinate by 0.5:
[tex]A = (-8, -5)\\ \\B = (3, 5)\\ \\C = (-2, 10)[/tex]
[tex]A' = (-4, -2.5)\\ \\B' = (1.5, 2.5)\\ \\C' = (-1, 5)[/tex]
In a different plan for area codes, the first digit could be any number from 4 through 8, the second digit was either 0, 1, or 2, and the third digit could be any number 4 except With this plan, how many different area codes are possible?
Answer:
135 choices
Step-by-step explanation:
5 choices for 1st dig
3 choices for 2nd dig
9 choices for third digit
5 x 3 x 9 = 135
Answer:
135
Step-by-step explanation:
But, for the last digit that is go from 0-9 except the 4
So it also depends on the range for the last digit
Hope this helped! :)
A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to
have enough space inside so they can also be used to store props.
0.2 m
0.3 m
0.15 m
0.5 m
0.4 m
How much space is inside the steps?
The space inside the steps will be 0.04 cubic meter
What is volume?The space in a three dimensional region occupied by any body is called as volume.
Assume the steps have the dimensions shown in the diagram below.
We can decompose them into two rectangular prisms.
The lower prism has the dimensions 20 in × 16 in × 6 in.
The upper prism has the dimensions 20 in × 8 in × 6 in.
1. Volume of lower prism
V = lwh = 20 in × 16 in × 6 in = 1920 in³
2. Volume of upper prism
V = lwh = 20 in × 8 in × 6 in = 960 in³
3. Volume of steps
V = 1920 in³ + 960 in³ = 2880 in³
Or the volume in meter will be 2880 cubic inches = 0.04 cubic meters.
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Find the product: (6x^2+8)(3x^2-5x+7)
Answer:
18x⁴ - 30x³ + 66x² - 40x + 56
Step-by-step explanation:
1) Distribute
(6x² + 8) (3x² - 5x + 7)6(3x² - 5x + 7) x² + 8(3x² - 5x + 7)2) Distribute
6(3x² - 5x + 7) x² + 8(3x² - 5x + 7)18x⁴ - 30x³ + 42x² + 8(3x² - 5x + 7)3) Distribute
18x⁴ - 30x³ + 42x² + 8(3x² - 5x + 7)18x⁴ - 30x³ + 42x² + 24x² - 40x + 564) Combine like terms
18x⁴ - 30x³ + 42x² + 24x² - 40x + 5618x⁴ - 30x³ + 66x² - 40x + 56Vocabulary:Expression
A mathematical symbol, or combination of symbols, representing a value, or relation.Example: 2 + 2 = 4
Combination
A selection in which order has no importanceAnswer:
The product would be 18x^4 - 30x^3 + 66x^2 - 40x + 56
Step-by-step explanation:
∠1 and ∠2 are linear pair. If m∠1 = 3x + 4 and m∠2 = 2x – 9, find x.
Answer:
37
Step-by-step explanation:
Linear pairs are supplementary (adds up to 180)
m∠1 + m∠2 = 180
3x + 4 + 2x - 9 = 180
5x - 5 = 180
5x = 185
x = 37
Hope this helps :)
Have a nice day!
A factory makes circular rugs with a radius of 3.5 feet. How much braid do they need to go all the way around the outside of the rug? Use 3.14 for pi
I believe that the answer is 21.48
The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.
We have,
The formula for the circumference (C) of a circle is:
C = 2πr
where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.
In this case, the radius of the rug is 3.5 feet, so we can calculate the circumference as:
C = 2 × 3.14 × 3.5 = 21.98 feet
Therefore,
The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.
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HELP ME PLEASEEEEEEEEEEEEEEEEEEEE
TEN POINTS
Select the correct answer.
Solve the following quadratic equation.
(x+4)^2=25
A. x=9 and x=-1
B. x=-9 and x=-1
C. x=-9 and x=1
D. x=9 and x=1
Answer:
hi I need actually a lot of help with Matt since I'm not the best?
Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form 125,25,5
series: 125, 25, 5, ...
We can identify geometric series by:
√first term x third term = second term
√125 x 5 = 25
Hence this is a geometric series.
Common difference:
25 ÷ 5 or 125 ÷ 25
5 5
The common difference is equal to 5.
a sphere has a volume of 179.6 cubic cm which value is closest to the radius of this sphere in cm
The volume of the sphere is the amount of space in it, and the value closest to the radius is 3.5 cm
How to determine the radius of the sphere?The volume is given as:
V = 179.6
The volume is calculated using:
V = 4/3πr³
So, we have:
4/3πr³ = 179.6
Multiply both sides by 3/4
πr³ = 134/7
Divide both sides by π
r³ = 42.88
Take the cube root of both sides
r = 3.5
Hence, the value closest to the radius is 3.5 cm
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Can anyone help me? me please
Answer:
approx 8.5 cm
Step-by-step explanation:
Given:
Volume= 225 cm^2
Diameter= 10cm
∴Radius= 10/2= 5cm
Volume of cone= 1/3 pi r^2 h
(now substitute the values we know),
225 = 1/3 * pi * (5)^2 *h
225*3= 25*pi*h
675= 25*pi*h
675/25= pi*h
27= 22/7*h
h= 27* 7/22
h= 8.5 cm approx.
I have mentioned every minor step. Hope it helps!!
Which expressions are equivalent to the given expression?
√80
Answer:
[tex]4\sqrt{5}[/tex]
Step-by-step explanation:
[tex]\sqrt{80}=\sqrt{16*5} =\sqrt{16}*\sqrt{5}=4\sqrt{5}[/tex]
help me please. need help fast.
Answer:
120
Step-by-step explanation:
because its parallel to 3 and if its a reflection or rotation of it it would be the same so it would be 120 degrees
The length of a rectangle is 2 centimeters less than five times the width of a rectangle. The area of the rectangle is 16 square centimeters. Find the length and width of the rectangle.
Answer:
Length: 8 cm
Width: 2 cm
Step-by-step explanation:
Check the attachment.
Please help.
Solve for a
Answer:
a = [tex]\sqrt{68}[/tex] = 8.2
Step-by-step explanation:
Look at picture ↓
[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex] [tex]:)[/tex]
Answer:
60
Step-by-step explanation:
You have the proper formula. You just need to swap some things around so we aren't solving for C. C is always the hypotenuse, the diagonal line opposite the right triangle. A and B can be either side unless specified.
1. The side we're solving for can either be called a or b. Let's call it A.
2. Now, switch around the theorem to solve for a: [tex]C^2-B^2=A^2\\[/tex]
3. Plug in what we know: [tex]8^2-2^2=a^2[/tex]
4. It simplifies down to [tex]60=a^2[/tex]
5. The "[tex]a^2[/tex] " means to square the a. We need to undo that to get a by itself. The opposite of squared is the square root
6. This leaves us to take the square root of both sides, which isolates a.
7. [tex]\sqrt{60}[/tex] is the answer. It's asking for it in the square root so we don't need to simplify it.
A tree of 14 m height is broken by the wind so that its top
touches the ground and makes an angle 60° with the ground. Find
the length of the broken part of the tree.
Answer:
The answer is:
[tex](56 - 28 \sqrt{3} )m[/tex]
Step-by-step explanation:
Let the broken part is (x) m
so other part is (14-x) m
[tex] \sin(60) = \frac{14 - x}{x} [/tex]
[tex] \sin(60) = \frac{ \sqrt{3} }{2} [/tex]
[tex] = x = (56 - 28 \sqrt{3} )m[/tex]
Look at image! Please help Thank You!
Answer:
720
Step-by-step explanation:
Answer:
720
Step-by-step explanation:
6! = 6*5*4*3*2*1 = 720
Simplify.
Simplify.
62+42
pls help
Answer:
104
Step-by-step explanation:
Simple addition:
Add the units place first:
2+2 = 4
Now add the tens together:
60+40= 100
Now add the 2 numbers together to give you 104.
I need help problem in the picture below
Answer:
The answer is three
Step-by-step explanation:
The formula to find the area is the width times the length. The area of the big rectangle is three times more than the smaller rectangle.
The area of the rectangle shown below is 36 square units. Set up and
solve an equation to find the value of x. *
2.5x + 1.5
4
The equation that can be used to find the value of x is (2.5x+1.5)4=36, and the value of x is 3.
What is the area of a rectangle?The area of a rectangle is the product of its length and breadth. It is given by the formula,
Area of rectangle = Length × width
Given the length of the rectangle is 2.5x+1.5, while the width is 4. Also, it is mentioned in the question that the area of the rectangle is 36 square units. Therefore, we can write the area of the rectangle as,
[tex](2.5 x+1.5) \times 4 = 36\\\\(2.5 x \times 4) +(1.5\times 4) = 36\\\\10x + 6=36\\\\x = \dfrac{36-6}{10}\\\\x = 3[/tex]
Hence, the equation that can be used to find the value of x is (2.5x+1.5)4=36, and the value of x is 3.
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Please help, will give brainliest when I have the time! Thank you!!!
Answer:
110 pages
Step-by-step explanation:
Let number of pages read on 1st day = x
-> No. of pages read on 2nd day = 2x
& No. of pages read on 3rd day = x - 6
Total no of pages read = 458
-> x + 2x + x - 6 = 458
-> 4x - 6 = 458
-> 4x = 458 + 6
-> 4x = 464
-> x = 464/4
-> x = 116
No of pages read on third day = x - 6 = 116 - 6 = 110
Alaska is the largest state in the united states and has a surface area of approximately 588,000 square miles. Indiana has a surface area that is approximately 6% of the surface area of Alaska. what is the approximate surface area of Indiana?
Answer:
Below in bold.
Step-by-step explanation:
588000 is close to 600000
6% of this = 600000 * 0.06
= 36,000 sq. miles.
Answer:
35,280 square miles
Step-by-step explanation:
If Joanne can swim 4 km in 45 min, what is her rate of change?
Answer:
45:4 or 4:45
Step-by-step explanation:
Depends on which
The function s(t), given below, models the height of the ball in feet, t seconds after it has been thrown. What is the time at which the ball reaches its maximum height? s(t) = -16t² + 32t +8
A) 0.5 sec B) 1.0 sec C) 1.5 sec D) 2.0 sec
(question in image)
i need the equation and it solved
Answer:
Option ASpeed of plane is 240 km/h, speed of wind is 50 km/hStep-by-step explanation:
With the tail wind the total speed is the sum of the speeds of plane and wind.
When into wind the total speed is the difference of speeds of plane and wind.
The first equation is
(r + w)*6 = 1740The second equation is
(r - w)*3 = 570Simplify both equations and solve the system
r + w = 1740/6 ⇒ r + w = 290r - w = 570/3 ⇒ r - w = 190Solve by elimination, add up the equations
r + w + r - w = 290 + 1902r = 480r = 240Find the value of w
240 + w = 290w = 290 - 240w = 50can someone help with this here’s a pic of the problem
It's not entirely clear what the full instructions are, and I wish your teacher posted a diagram of figures A and B. However, I think I know what your teacher is after.
I'm assuming this is pertaining to similar polygons.
The larger figure has a side length of 88 ft and corresponds to the smaller side length of 11 ft. This is a scale factor of 11/88 = 1/8 = 0.125
What it means is that we multiply each larger side length by 1/8 or 0.125 to get the smaller corresponding side length. In other words, 88*(1/8) = 11
Square this linear scale factor to get the area scale factor
(1/8)^2 = (0.125)^2 = 0.015625
This value of 0.015625 is the area scale factor. We multiply this by the area of figure A to get
4928*0.015625 = 77
This is how your teacher got 77 as the final answer for figure B.
------------------------------------------------------
Admittedly this concept is a bit confusing at first.
Let's do another example.
Consider a 2 by 3 rectangle of area 2*3 = 6 square units.
Now apply a linear scale factor of 4 to quadruple each side. We get a 8 by 12 rectangle of area 8*12 = 96.
Notice the jump from 6 to 96 is "times 16" (since 96/6 = 16) and it's no coincidence that 16 is 4^2, i.e. the result of squaring the linear scale factor.
new area = (area scale factor)*(old area)
new area = 16*(old area)
new area = 16*6
new area = 96
This shows that 16 is the area scale factor.