The word can be represented as a set and in the roaster form the set of letters is {s, a, l, t}
What is set?A set is a collection of clearly - defined unique items. The term "well-defined" applies to a property that makes it simple to establish whether an entity actually belongs to a set. The term 'unique' denotes that all the objects in a set must be different.
We have given letter:
"salt"
Here, no letter is repeated.
So we can write it as roaster form:
Let's denote the set as S
S = {s, a, l, t}
Number of element in the set = 4
We can make new set from it if the set has only vowels
S(v) = {a}
If set has only consonants:
S(c) = {a, l, t}
Thus, the word can be represented as a set and in the roaster form the set of letters is {s, a, l, t}
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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.
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]
can 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.
∠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!
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
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.
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
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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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.
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!!
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! :)
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
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?
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
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.
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
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]
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.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
the answer to your question is 9 miles
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:
A well-known chewing gum maker wants to determine if any of its four flavors of gum are more popular than the others. A random sample of 80 people who say they chew gum regularly is asked to identify their favorite flavor of gum. Here are the results:
The appropriate null hypothesis is (b) Flavor preferences are evenly distributed across all flavors
How to determine the appropriate null hypothesis?The distribution of the gum flavors is given as:
Peppermint = 25Cinnamon = 19Wintergreen = 22Spearmint = 14The sample size is given as:
Sample = 80
From the distribution of the gum flavor, we can see that the count of each flavor are not equal i.e. uneven
This means that we can use the following statement as the null hypothesis:
Flavor preferences are evenly distributed across all flavors
Hence, the appropriate null hypothesis is (b)
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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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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
HELP ME PLEASEEEEEEEEEEEEEEEEEEEE
(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 = 50Given 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.
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
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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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]
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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