Answer:
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, etc.
Step-by-step explanation:
It's counting by two's.
Consider the equation below. − 5 n + 31 = − 14 n − 5 Select the equation that has the same solution. − 1 − 22 n = − 20 n − 9 3 − 6 n + 3 n = − 3 + 4 − 4 n 1 = 0.75 n + 3.25
The equation which having the solution n = -4 is,
11/4n + 2 = -3 + 3/2n.
What is solution of an equation?
Any value of the variable that satisfies the equality, that is, makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal, is a solution of the equation. Finding an equation's solution or solutions is known as solving the equation.
Consider, the given equation -5n + 31 = -14n -5
Solving this equation,
14n - 5n = -5 - 31
9n = -36
n = -4
We have to find the equation which having the solution n = -4.
Consider, the first equation
-1 - 22n = -20n - 9
Solving this, we get
n = 4
Consider, the second equation
3 - 6n + 3n = -3 + 4 - 4n
Solving this, we get
n = -2
Consider, the third equation
1 = 0.75n + 3.25
Solving this, we get
n = 3
Consider, the fourth equation
11/4n + 2 = -3 + 3/2n
Solving this, we get
n = -4
Hence, the equation which having the solution n = -4 is,
11/4n + 2 = -3 + 3/2n.
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Football player A has a mass of 87 kg and is running at 7.15 m/sec. Football player B is on path to chop Football Player A. Player B has a mass of 78 kg and is running at 9.2 m/sec. Which player is going to get knocked out?
According to the information, the player which is going to be knocked out is player A because he has less momentum.
How to calculate which player is going to get knocked out?To calculate witch player is going to get knocked out we have to use the following formula:
Momentum formula:
P = mvm: massv: velocitySo, the player which has less momentum will get knocked out. Accoding to this information, we have to replace values and calculate:
Player A
P = 87 * 7.15 P = 622,05Player B
P = 78 * 9.2
P = 717.6
According to the above, the player which will be knocked out is player A, because player B has more momentum.
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In the schoolyard we were 80 children playing soccer. After a while more children signed up and now we are 22 children in the camp. How many new children have come?
Answer: 21 new children have come.
Step by step explanation:Data :
In the schoolyard we were = 80 children playing soccerAfter a while more children signed up = and there were 22 childrenHow many new children have come = ?We simply have to subtract the number of children playing from the number of children who arrived after a while:
[tex]\bf \: 43 - 22 = 21[/tex]
We check:
[tex]\bf \: 22 + 21 = 43[/tex]
Rpt: 21 new children have come.
A mother gives birth to a 7-pound baby. Every 3 months, the baby gains 2 pounds. If x is the age of the baby in months, then y is the weight of the baby in pounds. Find an equation of a line in the form y=mx+b that describes the baby's weight.
y =___________________
Answer:
y = 2/3 x + 7
Step-by-step explanation:
At birth represents the beginning of time for the baby. Lets call this month zero. So here are your coordinates.
x = 0 y = 7 ----> at birth
x = 3 y = 9
x = 6 y = 11
x = 9 y = 13
Now we find the slope between each point. Since the common difference of y is 2 and the common difference in x is 3 , the slope will be
slope = y / x = 2 / 3
Therefore, the equation of the line that represents this relationship is
y = (2/3) x + 7
The powers of I discussion. see photo for question!!
Answer:
it is, in fact, i
Step-by-step explanation:
first of all, let's remember that
[tex]i^{0} = 1 \\ {i}^1 = i \\ {i}^{2} = - 1 \\ {i}^{3} = - i[/tex]
and follow up powers follow the same pattern. at this point let's look at the exponent: you should know that if a number is a multiple of 4, his last two digits are a multiple of 4. in our case,
[tex]5689 = 5688 + 1 = 4k + 1[/tex]
and honesly, we do not care about what k is. rest is playing with power rules
[tex] {i}^{5689} = {i}^{5688 + 1} = {i }^{4k + 1} = { ({i}^{4}) }^{k} \times i = i[/tex]
What is the arithmetic meaning of set of data 6,1,5,8and 10
The arithmetic mean of the set of data 6, 1, 5, 8 and 10 is calculated to be 6
What is arithmetic mean?The simplest and most popular way to measure a mean or average is with the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.
Adding up the numbers
= 6 + 1 + 5 + 8 + 10
= 30
The total number of items in the data is = 5
The arithmetic mean calculation
arithmetic mean = sum of numbers / number of items
arithmetic mean = 30 / 5
arithmetic mean = 6
The arithmetic mean is 6
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If the money obtained for 70 empty bottles can buy 35 pencils .How many pencils would the money from 90 empty bottles buy?
Two girls divided $1.60 in the ratio 5 : 3. How much more does one girl get than the other?
let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly
[tex]\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}[/tex]
A child uses her hand to measure the width of a tabletop. Her hand has a width of 8.3 cm at its widest point, and she finds the tabletop to be 15.5 hands wide.
The width of the table top is 132 cm and 1.32 in metres.
What is width?The shorter distance of an object or a figure is its width, which indicates how broad or wide the given figure is. Additionally, width is measured in linear units such as metres, centimetres, inches, and so forth.
Length: Length is used to calculate the separation between two points. The longest dimension of a figure, length, indicates how long an object or figure is. It is measured in linear units like metres, centimetres, inches, and so forth.
Width of hand = 8cm
No of hands = 16.5 hands
Width of tabletop = Width of hand * No. of hands = 8cm × 16.5 = 132cm = 1.32m
The width of the table top is 132 cm and 1.32 in metres
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(Look at picture) Ty for the help
x = 3y perendicular to l
y = -3x parallel to l
y = 3x + 2 neither
What is Slope ?A line's slope, often known as its gradient, is a numerical representation of the line's steepness and direction.
The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks.
One approach for determining a line's slope from a graph is to use the formula immediately after knowing the coordinates of two points that are on the line. Let's assume that the coordinate values for the two spots are unknown. Therefore, we also have another way to determine the slope of the line. This approach entails attempting to determine the tangent of the angle formed by the line and the x-axis.
The line is y = -3x -1
slope is -3 by slope intercept form
The line x = 3y
or y = (1/3)*x
slope is 1/3
we know for a line perpendicular to a given line slope should be -1/m so the slope will be (1/3)
so, x = 3y is perpendicular
y = -3x have slope -3 so it is parallel
y = 3x + 2 slope is 3 so neither
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Suppose that you are planning a winter vacation. You want to spend a lot of time outdoors, so you are checking the "average" temperature in different locations. Would you prefer to have the "average" temperature reported as a mean, a median or a mode? Why?
The statistical measure which would best represent the average temperature as required is; Mean.
Which measure of central tendency best represents the average temperature?It follows from the task content that the measure of central tendency which best represents the average temperature is to be determined.
On this note, although the mean and median are statistical measures of the central tendency, the mean is a more accurate measure of the average temperature as in this context.
The mode on the other hand, is a statistical measure of spread.
Ultimately, while checking the average temperature in different locations, it follows that the average temperatures in each of the locations is reported as a mean.
This follows from the fact that the mean is a representative of all temperatures recorded in any one location.
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In a right triangle, cos (9x) = sin (6x - 10)°. Find the larger of the triangle's two
acute angles.
The larger acute angle in the right triangle is 60°
What is a right triangle?A triangle with at least one angle a right angle, is called a right triangle.
Given that, In a right triangle, cos (9x) = sin (6x - 10)°.
We know that, sine and cosine of an angle are supplementary.
Therefore,
9x+6x-10 = 90
15x = 100
x = 20 / 3
Therefore, sin(6(20/3)-10)°
= sin(30)°
And also,
cos(9(20/3)
= cos(60)°
Hence, the larger angle is in the triangle is 60°
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what is ⊕ this symbol
Answer: The symbol ⊕ is known as the XOR (Exclusive Or) operator.
Step-by-step explanation:
The symbol ⊕ is known as the XOR (Exclusive Or) operator. It is a logical operator that compares two binary digits or bits and returns a 1 if one of the bits is 1 but not both. It returns 0 if both bits are the same (either 0 or 1). It is commonly used in digital logic and computer science, particularly in the field of cryptography. In simple terms, it compares two bits and returns 1 if they are different and 0 if they are the same.
They will invest $30,000 for
10 years in an account that
pays 2.5% annual interest. PLS HELP
The required simple interest would be the amount of $7500 if invest $30,000 for 10 years in an account that pays 2.5%.
We have been given data:
Principal (P) = $30,000
Rate of Interest (R) = 2.5% = 2.5/100 = 0.025
Time (T) = 10 years
⇒ Simple interest = P × R × T
Substitute the value of P, R, and T in the above formula,
⇒ Simple interest = 30,000 × 2.5% × 10
⇒ Simple interest = 30,000 × 2.5/100 × 10
⇒ Simple interest = 30,000 × 0.025 × 10
Apply the multiplication operation, and we get
⇒ Simple interest = $7,500
Therefore, the required simple interest would be the amount of $7500.
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Answer:
Simply interest = $750.00.
Step-by-step explanation:
From the question
Principal = $30,000
Time = 10 years
Rate = 2.5%.
Sample interest = ?
Simple interest is give by the formula
= Principal × Rate ×Time
100
= 30,000 × 2.5 × 10
100
=3000 × 2.5 × 1
Note: hundred use it two zero to cancel one zero of 30,000 and one zero of 10 living 3000 and 1
Simple interest = $750.00
Suppose a parabola has an axis of symmetry at x = 6, a maximum height of 6 and also passes through the point (7, 5). Write the equation of the parabola in vertex form.
The equation of the parabola, in vertex-form, is given as follows:
y = -(x - 6)² + 6.
What is the equation of a parabola given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by the rule presented as follows:
y = a(x - h)² + k
In which the parameters of the equation are given as follows:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient.The axis of symmetry is at x = 6, hence:
h = 6.
The maximum height if of 6, hence:
k = 6.
Thus:
y = a(x - 6)² + 6.
The parabola passes through the point (7,5), meaning that when x = 7, y = 5, and thus the leading coefficient a is obtained as follows:
5 = a(7 - 6)² + 6.
a = -1.
Hence the parabola is defined as follows:
y = -(x - 6)² + 6.
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Which expression is equivalent to 16
O -(16)4
O 164
√ F
16
(76) ?
-(+)*
16
The expression that is equivalent to (1/16)^-4 is 16^4. Option B
What are index forms?Index form of a number is mathematically described as the number that is written as an exponential expression or that is raised to a variable or another number.
The exponent of an expression explains the multiple times in which the base replicates itself to evaluate the expression.
It is also called the scientific notation or standard form of a number.
From the information given, we have that;
(1/16)^-4
Using the indices rule;
(a^-n) is same as (1/a)^n
So, if we have (1/16)^-4, it is equivalent to;
16^4
Hence, the value is 16^4
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Complete question:
Which expression is equivalent to (1/16)^-4?
The answer choices are
A) (-16)^4
B) 16^4
C) 4 square root 1/16
D) -(1/16)^-4
A spherical water tank has a radius of 25 feet. Can it hold enough water to fill a swimming pool 50 meters long, 25 meters wide with a constant depth of 2 meters?
Show your work by comparing each cubic feet
The spherical water tank can not hold enough water to fill up the swimming pool, given the length, width, and constant depth of the water.
How to find the amount of water ?The amount of water that the spherical tank can hold is the volume of the spherical tank. This volume can be found by the formula:
= 4 / 3 x Pi x radius ³
The volume of this spherical tank is therefore :
= 4 / 3 x Pi x 25 feet
= 65, 450 feet ³
Then, to see if it can hold enough water for a swimming pool 50 meters long, 25 meters wide with a constant depth of 2 meters, find the volume of the swimming pool as:
= Length x Width x Depth
= 50 x 25 x 2
= 2, 500 meters ³
1 m³ to feet ³ is 35.3147 so the volume in feet is:
= 2, 500 x 35.3147
= 88, 287 feet ³
The water tank can not hold enough water for the swimming pool.
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For each expression, combine
like terms and write an equivalent
with fewer terms.
expression
a. 4x + 3x
b. 3x + 5x - 1
c. 5 + 2x + 7 + 4x
d. 4 - 2x + 5x
e. 10x 5 + 3x - 2
-
Be sure to identify the problem to which each
answer belongs.
Answer:
a) 7x
b) 8x-1
c) 6x=12
d) 3x+4
e) 13x-7
Step-by-step explanation:
To collect the like terms, you combine similar terms. e.g- 4x+3x would be 7x because there are 7 x's.
answer the question correctly for brainliest
Answer:
15p + 10
Step-by-step explanation:
5 (3p+2)
15p + 10
Melissa has a student dictionary on her jasper dictionary connect 76 pages and the dictionary more word start with the letter S. then any other letter I'll keep on 13 full pages she opens up the dictionary random what is the proper ability that the page can contain words starting with the word s
Enter the signs by using the corresponding letters in the correct order. Can you make this a true equation?
The corresponding letters based on the signs in their correct order that makes the numbers and operators a true equation is as follows;
((12 B E 16) C 17) D 62 F 1/2
What is the order of operations?The order of operation which indicates the proper sequence of the operations on the numbers in the equation, (PEMDAS), is as follows;
P; Parenthesis first(), then E; Exponents, followed by M or D, Multiplication or Division (Left to Right), and A or S; Addition or Subtraction.
The specified numbers are; 12, 16, 17, 62, and 1/2
The operators are; +, ×, √, -, ÷, and =
The number that is a perfect square is 16 = 4²
Applying the square root to 16, and multiplying the result to 12, we get;
12 × √(16) = 48
Subtracting 17 from the above result, we get;
48 - 17 = 31
Dividing the above result of 31 by 62, we get;
31/62 = 1/2
The operations on the numbers that make the set of numbers and operators an equation are therefore;
(12 × √(16)) - 17) ÷ 62 = 1/2
The corresponding letters from the set of letters and operators, that can make this a true equation is therefore;
B = '×', E = '√', C = '-', D = '÷', F = '='
12 B E 16 C 17 D 61 F 1/2
Applying the bracket symbol that indicates the order of operations, we get;
((12 B E 16) C 17) D 61 F 1/2
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Solve for x. 3 - 4x = 18 + x
Answer:
x= -3
Step-by-step explanation:
See the photo below and answer which pairs of rectangles are similar polygons.
Answer:
A and B
Step-by-step explanation:
A: 100/150 = 2/3
B: 72/108 = 2/3
C: 80/132 = 20/33
A City Park is in the Shape of a triangle where the sides have Lengths 163m, 145m, and 145m.if a fence was built around the perimeter the park, how long would the fence need to be?
The required fence to be built around the perimeter of the park should be 453 m long.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.
Here,
A City Park is in the Shape of a triangle where the sides have Lengths of 163 m, 145m, and 145m.
The perimeter of the triangle = sum of all sides
= 163 + 145 + 145
= 453 m
Thus, the required fence to be built around the perimeter of the park should be 453 m long.
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The results of a survey of students showed that 53 students had a Netflix account, 46 students had a Hulu account, and 87 students has a Netflix or a Hulu account. How many students had both a Netflix and Hulu account? Show how you got your answer please!
The students that have both a Netflix and Hulu account is 12.
How to calculate the number?We can use the principle of inclusion-exclusion to solve this problem. The principle states that if we want to know how many students have either a Netflix or a Hulu account (or both), we can add the number of students who have a Netflix account to the number of students who have a Hulu account and then subtract the number of students who have both.
So, using the information given:
Netflix or Hulu = Netflix + Hulu - (Netflix and Hulu)
87 = 53 + 46 - (Netflix and Hulu)
To find the number of students who have both a Netflix and Hulu account we can solve for (Netflix and Hulu) :
(Netflix and Hulu) = Netflix + Hulu - 87
(Netflix and Hulu) = 53 + 46 - 87
(Netflix and Hulu) = 12
So, 12 students have both a Netflix and Hulu account.
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5
A squad of 14 players is selected for a mixed football tournament.
The rules state that the ratio of boys to girls per squad must be no greater than 3:2
What is the maximum number of boys that can be selected for the squad?
Answer:
Step-by-step explanation:
The ratio of boys to girls in the squad must be no greater than 3:2. This means that for every 3 boys, there must be at least 2 girls.
Since the total number of players in the squad is 14, we can set up the following equation:
3x + 2y = 14
Where x is the number of boys in the squad, and y is the number of girls in the squad.
To find the maximum number of boys that can be selected for the squad, we need to find the highest possible value of x while still satisfying the equation.
We know that x, the number of boys, is a whole number, so we can start testing values of x by subtracting 2 from both sides and then dividing by 3
x = (14 - 2y)/3
If we start testing values for y and substituting it back into the equation, we'll find that the maximum value for y is 6, and the corresponding value for x is 5.
35 + 26 = 15 = 14
Therefore, the maximum number of boys that can be selected for the squad is 5.
What do I put as the response?
Step-by-step explanation:
the law of intersecting lines : the angles between both lines are the same on both sides of either line, just left-right mirrored.
that's why the angles are while going around the intersection point (starting with the known 37° angle) :
37° - supplementary angle - 37° - supplementary angle
and again from the start.
"supplementary" angles are pairs of angles that together are 180°. just like 2 neighboring angles at intersecting lines.
so, 37° = 7x - 5
example 4
116° is the supplementary angle of 4x.
that means
180 = 116 + 4x
64 = 4x
x = 64/4 = 16
In the figure shown, t || x and k || w and m<3 = 20°. Choose the list which includes all of the other angles that measure 20 degrees. ܔܔ
O A 1
OB. 1,5,7
O c. 1,14, 16
O D. 1,5,7, 9, 11, 14, 16
The angles which measure 20 degrees are∠1 ,∠5 ,∠7 ,∠9 ,∠11 ,∠14 ,∠16. The solution has been obtained using the properties of parallel lines.
What are parallel lines?Parallel lines are any two or more lines that lie in the same plane, are equally spaced apart, and never cross one another.
We are given t || x and k || w and m∠3 = 20°
Using the properties of parallel lines, we get -
∠3 = ∠1 (As these are vertically opposite angles)
∠3 = ∠5 (As these are alternate interior angles)
∠3 = ∠7 (As these are corresponding angles )
Now,
∠4 = 180 - ∠3 (As they form a linear pair)
∠10 = 180 - ∠9 (As they form a linear pair)
Also,
∠10 = ∠4 (Parallelogram's opposite angles are same)
So,
180 - ∠9 = 180 - ∠3
∠3 = ∠9 .... [ii]
∠9 = ∠11 (As these are vertically opposite angles)
∠3 = ∠11 ( from [ii] ) .... [iii]
∠11 = ∠14 (As these are alternate interior angles)
∠3 = ∠14 ( from [iii] ) .... [iv]
∠14 = ∠16 (As these are vertically opposite angles)
∠3 = ∠16 ( from [iv] )
Hence, the angles which measure 20 degrees are
∠1 ,∠5 ,∠7 ,∠9 ,∠11 ,∠14 ,∠16.
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On a team, 7 girls and 6 boys scored a total of 79 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 19. Each girl scored the
same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.
Each girl scored 9 points
Each boy scored 7 points
Step-by-step explanation:
Let the number of points each girl scored = a
Let the number of points each boy scored = b
7 girls and 6 boys scored a total of 105 points.
7a + 6b = 105......... Equation 1
The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21
7a - 6b = 21........... Equation 2
7a + 6b = 105......... Equation 1
7a - 6b = 21........... Equation 2
Subtract Equation 2 from Equation 1
12b = 84
b = 84/12
b = 7
Therefore, each boy scored 7 points
7a + 6b = 105......... Equation 1
b = 7
7a+ 6b = 105
7a + 6(7) = 105
7a + 42 = 105
7a = 105 - 42
7a = 63
a = 63/7
a = 9
Therefore, each girl scored 9 points.
. 10 people can fit comfortably into a 7 x 12 feet square. What is the ratio of number of people and the
rectangle's area?
Answer:
5 people per 42 square feet.
Step-by-step explanation:
The area of the rectangle is 7 x 12 = 84 square feet.
The ratio of the number of people to the area of the rectangle is:
10 people : 84 square feet
You can simplify this ratio by dividing both sides by 2:
10/2 people : 84/2 square feet
Which can be written as
5 people : 42 square feet
Answer:
The ratio of the number of people to the rectangle's area is 10 people : 84 square feet.
Step-by-step explanation:
The ratio of the number of people to the rectangle's area is 10 people : 84 square feet.
It is important to note that this ratio represents the maximum number of people that can fit comfortably in the 7 x 12 feet square. The actual number of people that can fit in the space will depend on various factors such as the size and layout of the room, the presence of furniture, and the size of the people.
