Answer:
[tex] \frac{1}{7}[/tex]
Answer:
1/7
Step-by-step explanation:
there is seen prizes and he pulls seven times so the odds would be 1/7
A rectangle measures 2 and 1/4 meters by 1 7/8 meters. What is it area u have to get a mixed fraction as the area plss help.
Answer:
4 1/8 m^2
Step-by-step explanation:
Given data
Length = 2 1/4 meters
Width= 1 7/8 meters
Area= Length* Width
Area= 2 1/4 * 1 7/8
Convert from mixed to simple fraction
Area= 9/4+ 15/8
Area= 18+ 15/8
Area= 33/8
Convert back to mixed fraction
Area= 4 1/8 m^2
Write an exponential function f so that the slope of a line from the point (0, f(0)) to the point (2, f(2)) is equal to 12.
The exponential function f so that the slope of a line from the point (0, f(0)) to the point (2, f(2)) is equal to 12 is defined as follows:
f(x) = 5^x.
How to define the exponential function?The general format of an exponential function is given as follows:
y = ab^x.
In which:
a is the initial value.b is the rate of change.The slope of a line, given two points, is given by the division of the change in the output by the change in the input of these two points.
Considering that the slope of points (0, f(0)) and (2, f(2)) is equals to 12, we have that:
[f(2) - f(0)]/(2 - 0) = 12
f(2) - f(0) = 24.
One case that satisfies this involves these two following points.
(0,1) -> f(0) = 1.(2,25) -> f(2) = 25.Hence the parameter a is given as follows:
a = 1.
When x = 2, y = 25, meaning that the parameter b is calculated as follows:
b² = 25
b = 5.
Hence the exponential function is:
f(x) = 5^x.
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An item costs $320 before tax, and the sales tax is $16.
Find the sales tax rate. Write your answer as a percentage.
Matthew scored a total of 168 points in his basketball season. He scored 147 of those points in the regular season and the rest were scored in his playoff game. What percent of his total points did he score in the playoff game?
Answer:
168 - 147 = 21
21/168 = 12.5
6 miles East 4 miles Southeast 4 miles South 7 miles Southwest 4 miles East This person has walked a total of Find the total displacement vector for this walk:
On solving the provided question, we can say that vectors are - 4 miles E: <4, 0>; 4 miles SE: <2√2, -2√2>; 7 miles S: <0, -7>; 6 miles SW: <-3√2, -3√2>; 2 miles E: <2, 0>
what is vector?In mathematics, a vector is a quantity with magnitude and direction but no location. Acceleration and velocity are two examples of such numbers. A thing with both magnitude and direction is called a vector. A vector can be conceptualised geometrically as a directed line segment, the length of which corresponds to the magnitude of the vector, and the direction of which is denoted by an arrow. Size and direction are two independent characteristics of a quantity or phenomena known as a vector. The phrase also describes how these numbers are represented mathematically or geometrically. In nature, vectors may be found in electromagnetic fields, weight, momentum, force, and velocity.
4 + 4 + 7 + 6 + 2 = 23 miles.
vectors are -
4 miles E: <4, 0>
4 miles SE: <2√2, -2√2>
7 miles S: <0, -7>
6 miles SW: <-3√2, -3√2>
2 miles E: <2, 0>
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WILL MAKE BRAINLIEST!!Match the radical to its simplified form.
1. 9i
2. 5i√2
3. 12√6
4.6i√7
A. √-81
B. 4√54
C. √-50
D. √-252
After simplification the correct matching is
1) 9i - A)[tex]\sqrt{-81}[/tex]
2) 5i[tex]\sqrt{2}[/tex] - C) [tex]\sqrt{-50}[/tex]
3) 12[tex]\sqrt{6}[/tex] - B) 4[tex]\sqrt{54}[/tex]
4) 6i[tex]\sqrt{7}[/tex] - D) [tex]\sqrt{-252}[/tex]
What is simplification?
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
Here to convert radical to simplified form we need to simplify them then
A)=> [tex]\sqrt{-81}[/tex] = [tex](\sqrt{i*9*9} })[/tex] = 9i
B) => [tex]4\sqrt{54} = 4\sqrt{9*6}= 4\sqrt{3^2*6}= 4*3\sqrt{6} = 12\sqrt{6}[/tex]
C) => [tex]\sqrt{-50} = \sqrt{i^2*25*2}=\sqrt{i^2*5^2*2}=5i\sqrt{2}[/tex]
D) => [tex]\sqrt{-252} = \sqrt{i^2*36*7}=6i\sqrt{7}[/tex]
Hence the correct matching is
1) 9i - A)[tex]\sqrt{-81}[/tex]
2) 5i[tex]\sqrt{2}[/tex] - C) [tex]\sqrt{-50}[/tex]
3) 12[tex]\sqrt{6}[/tex] - B) 4[tex]\sqrt{54}[/tex]
4) 6i[tex]\sqrt{7}[/tex] - D) [tex]\sqrt{-252}[/tex]
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To simplify a square root, simply factor the number and extract the roots of any perfect squares found from the radical sign.
What is meant by simplification?To simplify means to make something easier. Simplifying an equation, fraction, or problem in mathematics means taking it and making it simpler. Calculations and problem-solving techniques help to simplify the situation.Simplify a radical expression that use the Product Property.
Find the radicand's largest factor that is a perfect power of the index. Using that factor, rewrite the radicand as a product of two factors.Rewrite the radical as the product of two radicals using the product rule.Simplify the perfect power's root.To convert radicals to simplified forms, we must first simplify them.
A) = [tex]\sqrt{-81}[/tex]
= ([tex]\sqrt{i*9*9}[/tex] )
= 9i
B) = 4[tex]\sqrt{54}[/tex]
= 4[tex]\sqrt{9*6}[/tex]
= 4[tex]\sqrt{3^{2}*6 }[/tex]
= 4*3√6
= 12√6
C) = [tex]\sqrt{-50}[/tex]
= [tex]\sqrt{i^{2}*25*2 }[/tex]
= [tex]\sqrt{i^{2}*5^{2}*2 }[/tex]
= 5i√2
D) = [tex]\sqrt{-252}[/tex]
= [tex]\sqrt{i^{2}*36*7 }[/tex]
= 6i√7
As a result, the correct match is
1) 9i - A) [tex]\sqrt{-81}[/tex]
2) 5i - C) [tex]\sqrt{-50}[/tex]
3) 12 - B) 4[tex]\sqrt{54}[/tex]
4) 6i - D)[tex]\sqrt{-252}[/tex]
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please help it's due today
Answer:
9/7, 1/6, -3, 4/5
Step-by-step explanation:
Use the [tex]gradient =\frac{rise}{run}[/tex] formula to solve this.
4: [tex]gradient = \frac{14-5}{8-1} = \frac{9}{7}[/tex]
5: [tex]gradient = \frac{10-9}{2-(-4)} = \frac{1}{6}[/tex]
6: [tex]gradient = \frac{-5-4}{6-3} = \frac{-9}{3} = -3[/tex]
7: [tex]gradient = \frac{-1-(-5)}{7-2} = \frac{4}{5}[/tex]
If you were given the function y=4x-3 and you had to find the Range, given the Domain: (1,3,5,7)
which one would be correct?
1. (1,5,9,13)
2. (3,9,12,15)
3. (1,9,17,31)
4. (1,9,17,25)
Answer:
option 4
Step-by-step explanation:
y = 4x-3
y = 4(1)-3
y = 1
y = 4(3)-3
y = 9
y = 4(5)-3
y = 17
y = 4(7)-3
y = 25
What are 2 examples of composite number?
Composite numbers are whole numbers that contain more than two elements.. Examples of composite numbers include 36 and 42. These numbers are divisible by more than just 1 and themselves. 36 is divisible by 1, 2, 3, 4, 6, 9, 12, and 18. 42 is divisible by 1, 2, 3, 6, 7, 14, and 21.
Example 1: To find the factors of 36
Step 1: Start by dividing 36 by 2, which gives us 18.
Step 2: Divide 18 by 2, which gives us 9.
Step 3: Divide 9 by 3, which gives us 3.
Step 4: Divide 3 by 3 which gives us 1.
Step 5: The factors of 36 are 1, 2, 3, 4, 6, 9, 12, and 18.
Example 2: To find the factors of 42
Step 1: Start by dividing 42 by 2, which gives us 21.
Step 2: Divide 21 by 3, which gives us 7.
Step 3: Divide 7 by 7 which gives us 1.
Step 4: The factors of 42 are 1, 2, 3, 6, 7, 14, and 21.
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the sum of 2 times a number and 3 times another number is 4. The first number minus the second number is -3. what are the numbers?
Answer:
A=-1, B=2
Step-by-step explanation:
2a + 3b=4 equation 1
a-b=-3 equation 2
a=-3+b isolate a in equation 2
2(-3+b) + 3b=4. Substitute value of a in equation 2 (-3+b) into a value of equ 1
-6+2b+3b=4
5b=10
b=2
solve for a:
a-b=-3
a-(2)=-3
a-2=-3
a=-1
The regular polygon below is to be rotated about its center. Which angle of rotation
would carry the figure onto itself?
Answer choices:
324°
150°
225°
300°
The shape of a decagon will remain the same when it is rotated through
its angle of rotational symmetry.
How to find the rotation?
The rotation about the center will carry a regular decagon back to itself is 36°.
Note the following
The angle of rotational symmetry of a decagon is the smallest angle that a decagon can be rotated by such that the image formed by the rotation coincide with the preimage;
A decagon has 10 sides, the interior angle of a regular decagon is given as follows;
Each interior angle = (n-2)*180/10 = 144⁰
A decagon has a reflective symmetry, therefore, the lines of symmetry joining opposite vertices are straight lines.
The number of diagonals in a decagon = 5
Rotating through the vertex and opposite vertex of the diagonals gives the number of image of the rotation that is similar to the preimage of a decagon as ten.
Therefore, a rotation of (360/10) = 36⁰, about the center will carry a regular decagon back to itself.
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•50 POINTS• don’t have to explain.
Answer: 80 degrees
Step-by-step explanation:
Answer:
the remaining angle of triangle is 80° by the sum of triangle is 180.
How many ways can a president, a vice-president and a secretary be chosen from 11 members of a club assuming that one person cannot hold more than one position
On solving the provided question, we can say that so, we apply permutation P(12,4) = 12!/ 8! = 11880
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.
so, we apply permutation
P(12,4) = 12!/ 8! = 11880
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What is the solution of the pair of equations y 0 and y =- 3?
The solution of the pair of equations y = 0 and y = -3 is y = -3/2.
The given pair of equations is:
y = 0
y = -3
We can solve this pair of equations using elimination. To do this, we first add the two equations together, which gives us:
y + y = 0 + (-3)
2y = -3
We then divide both sides by 2 to get the solution for y:
2y/2 = -3/2
y = -3/2
Therefore, the solution of the pair of equations y = 0 and y = -3 is y = -3/2.
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Conan borrows $3,000 at a yearly simple interest rate of 1.6% for 2 years find out how much he owes and interest and how much he needs to pay back
Answer:
P=3000$
T=2 years
R=1.6% per annum
Now,
interest=(3000×2×1.6)/100=96$
Amount=P+interest=3096$
Hence,Conan needs to pay back 3096$ and the interest is 96$
pls help with this graph what is the equation for it pls get it right and thanks :)
Answer:
y=-4x+40
Step-by-step explanation:
I graphed it. Also, the y-intercept was obviously 40 and the slop was rise/run which is 40/10 which is 4 but the graph is negative so -4
Can someone help with this??
Answer: x= 9.2
Scale Factor is 2.5
Step-by-step explanation:
1. Divide 17.5 by 7 to find scale factor
2. So 17.5/7=2.5
3. Divide 23 by 2.5 to find x
4. So 23/2.5=9.2
Answer:
Scale Factor: 2.5
x = 9.2
Step-by-step explanation:
So, the simple way to find this is by first figuring how much the new triangle has shrunk. Since they gave you both the bottom numbers, all you have to do is divide 17.5 by 7 to give you the scale factor of 2.5. You will use this scale factor to divide the 23 and get your answer of 9.2.
I hope this helps!
You just got an order of 8 apples and you need to break them up accordingly:
25% of the apples should be baked into a pie
25% of the apples should be baked into a tart
37.5% of the apples will be used for juice
you may eat the remaining apples. of?
Answer:
⟟ got 12.5 remaining
Step-by-step explanation:
Just add all the percentages then subtract from 100
Which of the following is not the same as positive 6?
|-6|
6 units to the left of 0 on a number line
+6
6
What is the 36th term of 12,17 and 22
a=12,d=17-12=5
nth term =a+(n-1)d
36th term=12+(36-1)5
=12+(35×5)
12+175
36th term=187
Answer: 187
Step-by-step explanation: 17 - 12 = 5 and 22 - 17 = 5
aₙ = a₁ + (n - 1) d
where a₁ = 12, n = 36, d = 5
a₃₆ = 12 + (36 - 1) 5
a₃₆ = 12 + 35 × 5
a₃₆ = 12 + 175
a₃₆ = 187
187 is the 36th term
HELP !!!!!! select the reason why these triangles are similar. if they are not, select “not similar”
a. AA
b. SAS
c. SSS
d. not similar
The triangles are not similar
find equation of the line passing through (4,8) and parallel to the line 3x+y=17( Please give workout)
Answer:
y = -3x +20
Step-by-step explanation:
Equation of line: y =mx + b
Where m is the slope and b is the y-intercept.
3x + y = 17
Write the above equation in y = mx +b form.
y = -3x + 17
m = -3
Parallel lines have same slope.
So, slope of the required line is (-3).
y = -3x + b
This line is passing through (4,8). Substitute in the above equation and find the value of 'b'.
8 = -3*4 + b
8 = -12 + b
8 + 12 = b
b = 20
Equation of the line:
[tex]\sf \boxed{ y = -3x + 20}[/tex]
Which of the following are true statements about a variable? Select all that apply.
A.) The number in front of a letter in an expression
B.) A Symbol used to represent an unknown value
C.) Can be changed from one value to another
D.) Always has to be the letter x
Thank you for whoever answers this! It’s pretty easy but this is for anyone out there who has the same question!
Answer:
The answers are B ) A Symbol used to represent an unknown value and C ) Can be changed from one value to another
Under his cell phone plan, Gabriel pays a flat cost of $52.50 per month and $5 per gigabyte. He wants to keep his bill under $75 per month. Write and solve an inequality which can be used to determine 9, the number of gigabytes Gabriel can use while staying within his budget.
Line t passes through points (3, 11) and (8, 4). Line u passes through points (1, 4) and (8, 9). Are line t and line u parallel or perpendicular?
Answer:
The lines t and u are perpendicular.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-11)/(8-3)
m=-7/5
----------------------
m=(y2-y1)/(x2-x1)
m=(9-4)/(8-1)
m=5/7
Perpendicular lines have negative reciprocal slopes.
How do I complete this equation
Answer:
130°
Step-by-step explanation:
All the interior angles should add up to 540 degrees because it's a pentagon
∠T ≅∠S, so ∠T is also 115°
∠P and ∠R are both 90°
Add everything up and solve for ∠Q:
115 + 115 + 90 + 90 + m∠Q = 540
410 + m∠Q = 540
m∠Q = 130°
Find the product of the factors 8.075*0.08
5x - 7 = 5 - x
Using balancing method in algebra
Answer:
5x-7-5+X=5-x-5+X
or,6x-12=0
or,6x=12
or,X=12/6
:.X=2
A large cuboid-shape box has dimensions of 70cm by 40cm by 40cm. Work out the maximum number of smaller cube-shaped boxes with sides of length 10cm that will fit in the large box
Given ,
A large cuboid-shape box has dimensions of 70cm by 40cm by 40cmLength of the cube shaped boxes are 10cmTo Find : Maximum number of small cube shaped boxes that can fit in the cuboid
Volume of the Cuboid = [tex]2(lb+bh+lh)[/tex]
Volume of the cuboid = [tex]2(70X40+40X40+70X40)[/tex]
= [tex]14400cm^{3}[/tex]
Now to find the volume of a cube,
[tex]V = a^{3}[/tex]
[tex]V = 10X10X10[/tex]
[tex]V = 1000cm^{3}[/tex]
Number of boxes that can fit in a cuboid = [tex]\frac{14400}{1000}[/tex]
= [tex]14boxes[/tex]
Hence , the number of cube shaped boxes that can fit in a cuboid are 14
A worker at an orchard measures the mass of different numbers of apples. The scatter plot below shows the relationship between the mass, in kilograms, and the number of apples.
What is the slope of the line of best fit? Express your answer as a decimal and round to the nearest hundredth.
Answer:
0.12
Step-by-step explanation:
Rise/run