Answer:
The largest 7-digit number, is a 7 nine digits, this number is:
9,999,999
If we subtract one, we get a 7-digit number smaller than this one.
if we add one, we get an 8-digit number.
Then this one is the greatest 7-digit number.
The successor of this number, is equal to the number plus one:
9,999,999 + 1 = 10,000,000
The smallest 8-digit number is the first 8-digit number, and we know that this one is:
10,000,000
And the predecessor is equal to this number minus one:
10,000,000 - 1 = 9,999,999
So we can conclude that:
The successor of the greatest 7-digit is the smallest 8-digit number
The predecessor of the smallest 8-digit number is the greatest 7-digit number.
And we could interpolate this for any N-digit number, such that:
The successor of the greatest N-digit is the smallest (N + 1)-digit number
The predecessor of the smallest (N + 1)-digit number is the greatest N-digit number.
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
I need the answer to this question please!
5 * root(x ^ 2, 3) is the equivalent expression.
Why do roots grow in numbers?Simply multiplying the radicands and placing the result behind the radical sign is all that is required to multiply two square roots. The square root of the product of the radicands, in other words, is equal to the product of two square roots.
Only if the numbers under the radical sign are equal can you add or subtract square roots themselves. The original number will still be in the radical sign after adding or subtracting the coefficients (numbers in front of the radical sign). Implement the suggested action.
5 * root(x ^ 2, 3) is the equivalent expression.
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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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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 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
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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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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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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What is the reflection point of (- 3/4 across the line y 2?
According to the following graph, the reflection point of (-3,4) across the line y = 2 is (-3,0).
The term reflection point in math is defined as
Here we need to find the reflection point of (-3, 4) across the line y = 2.
Here first we have t plot the point on the graph, and then we have to plot the line equation y = 2 on the graph,
Here in order to find the reflection of a point along the x-axis, then we have to keep the abscissa constant and see the reflection of ordinate along the x-axis.
Based on these rule, the resulting graph is obtained as follows.
Through the graph we have identified that the resulting reflection point is (-3,0).
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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$
Find the product of the factors 8.075*0.08
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
What is the equation of a line written in slope-intercept form with a slope of 4 that passes through the point (-3, -3)?
An item costs $320 before tax, and the sales tax is $16.
Find the sales tax rate. Write your answer as a percentage.
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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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°
Choose the pair of complementary angles
Answer:
B is the answer
Step-by-step explanation:
When you add AOB and NOM its 90 degrees. AOB is 29 + NOM that is 61. 61 + 29 = 90 degrees. Since complementry angles are 90 degrees, it is correct! Pls tell me if its correct or not!
Answer:
B is the answer
Step-by-step explanation:
ADD-
AOB and NOM
=90 degrees
AOB =29
add "NOM"
NOM= 32
=61.
61 + 29 = 90 degrees.
Complementary angles are 90 degrees
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!
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
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.
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
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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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
what can 25 and 3 both be divided by
Answer:1
Step-by-step explanation:
because 1 devided by 3 is 3 and 1 devided by 25 is 5
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
•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.
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
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]
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.