Answer:
Square root of 42.25 is 6.5
The square root of 42.25 is 6.5.
To find the square root of 42.25, we need to determine the number that, when multiplied by itself, equals 42.25. In this case, the square root of 42.25 is 6.5 because 6.5 multiplied by itself (6.5 x 6.5) equals 42.25.
Mathematically, it can be represented as:
√42.25
= 6.5
The square root (√) is the inverse operation of squaring a number.
When we square a number, we multiply it by itself.
In this case, squaring 6.5 (6.5 x 6.5) gives us the original value of 42.25.
Therefore, the square root of 42.25 is 6.5.
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Which of the following dot plots would most likely have the highest standard
deviation?
Option A is the dot plots which would most likely have the highest standard
deviation.
What is Standard deviation?This is referred to as the measure of the amount of variation or dispersion of a set of values and the one with a higher standard deviation will usually have its average points farther away from the mean which is located at the center while those with a lower standard deviation will usually have its average points closer to the mean.
From the options provided , option A has a lot of points on 2 and 14 which are further way from the center (mean) and is therefore the reason why it was chosen as the correct choice.
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find the coordinate matrix of x relative to the orthonormal basis b in rn.
The coordinate matrix of x relative to an orthonormal basis b in [tex]R^n[/tex] can be found by computing the inner product of x with each basis vector and representing these inner products as the entries of a column vector.
To find the coordinate matrix of x relative to an orthonormal basis b in R^n, we need to express x as a linear combination of the basis vectors in b. This can be done by computing the inner product (dot product) of x with each basis vector and representing these inner products as the entries of a column vector. The resulting vector is the coordinate matrix of x relative to the orthonormal basis b.
For example, let x be a vector in [tex]R^n\\[/tex], b = [tex]{b_1, b_2, ..., b_n}[/tex] be an orthonormal basis in R^n, and let A be the coordinate matrix of x relative to b. Then the entries of A are given by:
A = [tex]( x, b_1 , x, b_2 , ..., x, b_n )^T[/tex] where [tex]x, b_i[/tex] denotes the inner product of x and [tex]b_i[/tex].
It is important to note that the basis b must be orthonormal for the coordinate matrix to have this form, if the basis is not orthonormal, the process will be different.
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Almost a billion people on the planet don't have access to clean drinking water." if there were 7.8×10^9 people in the world in 2014, then approximately what percent of them lived without clean drinking water? round to the nearest tenth of a percent.
If almost a billion people on the planet don't have access to clean drinking water. The percent of them that lived without clean drinking water is 12.82%.
How to find the Percentage of people without clean drinking water?Given data:
Total number of people = 7.8×10^9
Number of people that lived without clean water = 1 billion
Number of people that lived without clean water = 1,000,000,000 = 1 × 10^9
So,
Percentage of people without clean water= Number of people that lived without clean water / Total number of people
Percentage of people without clean water = 1 × 10^9 / 7.8×10^9 × 100
Percentage of people without clean water = 1/ 7.8 × 100
Percentage of people without clean water= 12.82%
Therefore 12.82% people lived without clean water.
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49 679 find the quotient
The quotient of the given answer is 0.
Define quotient and remainder.The divisor is the integer that divides a given number. The quotient is the sum that we arrive at as a result. The residual is the number that the divisor leaves after partially dividing the original integer.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
On dividing 49 by 679 we will get quotient 0 and remainder 49
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Given the function, f(x) = square root 3x + 3 + 2, choose the correct transformation(s)
The correct transformation is Horizontal Compression, Left 1 , Up 2.
What is transformation?
An operation that manipulates a polygon or other two-dimensional object on a plane or coordinate system is known as a transformation.
The shape in two dimensions before any alteration is known as a pre-image or inverse image. The shape after transformation is the image.
Given: [tex]f(x)=\sqrt{3x+3} +2[/tex]
The parent function of given function is square root function.
[tex]f(x)=\sqrt{x}[/tex]
Shift 1 unit left
[tex]f(x)=\sqrt{(x+1)}[/tex]
Horizontal Compression
[tex]f(x)=\sqrt{3(x+1)}[/tex]
Vertical up by 2 units
[tex]f(x)=\sqrt{3x+3}+2[/tex]
Hence, the parent function [tex]f(x)=\sqrt{x}[/tex], horizontally shrink by a factor of 3 , shift 1 unit to the left, shift 2 units upwards.
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Question: Given the function,[tex]f(x)=\sqrt{3x+3} +2[/tex], choose the correct transformation(s).
Vertical Compression, Left 1 , Up 2Horizontal Compression, Left 1 , Up 2Vertical Stretch, Left 3 , Up 2Horizontal Stretch, Left 3 , Up 21. Determine the intervals of the domain over which the function is
continuous.
Select the correct choice below and, if necessary, fill in the answer
box to complete your choice.
OA. The function is continuous on
(Type your answer in interval notation.)
B. The function is not continuous.
10 B AB
br
26-
20-
45
40-
5-
2
50
10
15
20
25
-~
2
-10
4 6
8
X
10
The given function is continuous over the domain [-3,-2].
If a function f is continuous throughout its whole domain, it is referred to as a continuous function. A point in the domain of a function f at which the function is not continuous is known as the point of discontinuity of the function. is a perpetual function. The only non-zero number in the domain is 2.
Every polynomial function on R and every rational function on its domain are both continuous. Proof. On R, the identity function g(x) = x and the constant function f(x) = 1 are both continuous.
Either a discrete or continuous domain is possible. A discrete function would have x-values that can stand on their own with no surrounding interval.
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if a^1/n=r 10 which of the following are true statements
Correct options are C, D. On simplifying, a^(1/n) = r can be written as n√a = r and a = rⁿ.
The fundamental guidelines and procedures to simplify any algebraic statement are as follows:
By multiplying factors, remove any grouping symbols like brackets and parenthesis.
If the words contain exponents, use the exponent rule to eliminate grouping.
Add or subtract like terms to combine them.
Add the constants together.
Given,
a^(1/n) = r ...........(1)
It can be written as -
n√a = r
secondly,
multiplying power n on both sides of equation (1)
we get,
a = rⁿ
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Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
-5x + y = -3
-10x + 2y = -6
infinitely many solutions
no solutions
one solution
This system of equations has infinitely many solutions.
What is Equation?An equation is a mathematical statement that two expressions are equal. It can be written using numbers, symbols, and mathematical operations such as addition, subtraction, multiplication, and division. Equations can also be used to describe relationships between known values, like a line of best fit for data points. Equations are used in many areas of mathematics, such as geometry and calculus, to help solve problems or to describe physical phenomena.
This can be determined by looking at the coefficients of the variables. Since the coefficients of x in each equation are the same and the coefficients of y in each equation are different, this indicates that the equations are not equivalent and therefore, have infinitely many solutions.
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Hurry i'm timed - please help
Outputs represent your y - values in coordinate.
Input represent your x - values in coordinate.
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We know that;
A relation is said to be a function if set of inputs having one output each.
Hence, In coordinate (x, y);
All x - values represents inputs and all y - values represent outputs.
Hence, Outputs represent your y - values in coordinate.
And, Input represent your x - values in coordinate.
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what’s the answer?? because I don’t understand this
Answer:
The answer is (A) 57
Step-by-step explanation:
[tex]4x^{2} + 3y = 4(3^{2}) + 3(7) \\= 4(9) + 21 \\= 36 + 21 \\= 57[/tex]
Hope this helps!
Answer:
A. 57
Step-by-step explanation:
If x is equal to 3 and y is equal to 7 then the equation should be written like this,
4 x (3)² + 3 x 7
Then solve it
First solve the number in the bracket
(3)² = 9
Then
4 x 9 + 3 x 7
According to BODMAS, we should solve numbers that need to be multiplied
4 x 9=36
3 x 7= 21
Then add those two numbers
36+21
The answer is 57
Hope this helps
Find a spot at a whiteboard and complete the following:
There are two malls that open at the same time.
The number of people in Mall A is modeled by -t² +9t + 36,
and the number of people in Mall B is modeled by - t² + 11t + 12,
where t represents the number of hours since the mall opened.
A) Write an expression that models how many more people are in Mall A than Mall B at time t.
B) How many people are in Mall A when t = 3 hours?
On solving the provided question, we can say that we have two quadratic equations; t² +9t + 36 > t² + 11t + 12 => t>12
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
here,
we have two quadratic equations
Mall A is modeled by -t² +9t + 36,
Mall B is modeled by - t² + 11t + 12,
t² +9t + 36 > t² + 11t + 12
-2t > -24
t>12
Mall A when t = 3 hours = [tex]3^2 +9*3 + 36 = 9+27+36 = 72[/tex]
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NO LINKS!!
$940 has been put into an investment account that grows at 5.14% compounded semi-annually. (NOT MULTIPLE CHOICE)
a. Create a table that shows this growth
b. Write an equation that models this situation
c. State what x represents in your equation
d. State what y represents in your equation
e. How much will in the account after 12 years?
Answer:
a) See below.
[tex]\textsf{b)} \quad y=940\left(1.0257\right)^{2x}[/tex]
c) x is the number of years.
d) y is the account balance in dollars.
e) $1728.29
Step-by-step explanation:
Part (a)Interest is compounded semi-annually, so:
5.14% ÷ 2 = 2.57%Therefore, calculate 1.0257% of the balance every 6 months:
[tex]\begin{array}{|c|c|}\cline{1-2} \vphantom{\dfrac12} \rm Years& \rm Account\;balance\;(\$) \\\cline{1-2} \vphantom{\dfrac12} 0& 940.00\\\cline{1-2} \vphantom{\dfrac12} 0.5& 964.16\\\cline{1-2} \vphantom{\dfrac12} 1& 988.94\\\cline{1-2} \vphantom{\dfrac12} 1.5&1014.35\\\cline{1-2} \vphantom{\dfrac12} 2&1040.42\\\cline{1-2} \vphantom{\dfrac12} 2.5&1067.16\\\cline{1-2} \vphantom{\dfrac12} 3&1094.59\\\cline{1-2} \end{array}[/tex]
Part (b)An equation that models this situation is:
[tex]\implies y=940\left(1+\dfrac{0.0514}{2}\right)^{2x}[/tex]
[tex]\implies y=940\left(1.0257\right)^{2x}[/tex]
Part (c)x is the number of years.
Part (d)y is the account balance in dollars.
Part (e)To calculate how much will be in the account after 12 years, substitute x = 12 into the equation from part (b):
[tex]\implies y=940\left(1.0257\right)^{2 \times 12}[/tex]
[tex]\implies y=940\left(1.0257\right)^{24}[/tex]
[tex]\implies y=940\left(1.8386054...\right)[/tex]
[tex]\implies y=1728.2890...[/tex]
Therefore, $1728.29 will be in the account after 12 years.
Y=-(x+3)^2-3
vertex form to standard form please help
Therefore , the solution of the given problem of equation comes out to be the vertex (h,k) is (3,3).
Equation explainedAn expression is a mathematical representation of two equal variables , one on each end of a "equals" sign. Typical issues can be resolved using equations. We commonly look to pre algebra for solutions to problems in real life. The fundamental concepts of mathematics are covered in pre-algebra lessons.
Here,
use the vertex form y=a(x-h)2+k to get the values of a, h, and k.
Given : a =1
h=3
k=−3
Discover the vertex (h,k) (3,3).
So, we discovered the vertex of given equation.
Therefore , the solution of the given problem of equation comes out to be the vertex (h,k) is (3,3).
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Jacqueline, Kimberly, and Julia collect mechanical pencils. Kimberly owns two less than three times the number of mechanical pencils Jacqueline owns. Julia owns three less mechanical pencils than Jacqueline. Together, the three collectors own a total of 100 mechanical pencils. How many mechanical pencils does Kimberly own? Build a guess and check table, to create an equation. Solve the equation. Show all work. Enter only a number for Kimberly's mechanical pencils.
The number of mechanical pencils Kimberly own are 61.
What is arithmetic?
In general, the term "arithmetic" (which comes from the Greek word "arithmos," "number") refers to the fundamental concepts of number theory, arts of mensuration (measurement), and numerical computation (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
Given:
Jacqueline, Kimberly, and Julia collect mechanical pencils.
Kimberly owns two less than three times the number of mechanical pencils Jacqueline owns.
Julia owns three less mechanical pencils than Jacqueline.
Together, the three collectors own a total of 100 mechanical pencils.
We have to find the number of mechanical pencils Kimberly own.
Let the mechanical pencils of Jacqueline is x.
As Kimberly owns two less than three times the number of mechanical pencils Jacqueline owns.
⇒ The mechanical pencils of Kimberly are 3x - 2
As Julia owns three less mechanical pencils than Jacqueline.
⇒ The mechanical pencils of Julia are x - 3
The three collectors own a total of 100 mechanical pencils.
⇒ x + (3x - 2) + (x - 3) = 100
5x - 5 = 100
5x = 105
x = 21
⇒ Mechanical pencils does Kimberly own are 3(21) - 2 = 63 - 2 = 61.
Hence, the number of mechanical pencils Kimberly own are 61.
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HOW FAR FROM HOME PLATE
TO SECOND BASE?
The catcher at home plate often needs
to make a quick throw to second base.
According to the measurements shown on
the baseball diamond, the exact distance
is √16,200 feet. How far is that in decimal
form? (Round to the nearest hundredth.)
(Please hurry)
Use the Distributive Property to rewrite each algebraic expression.
15(2 + r)
Using the distributive property, the algebraic expression 15(2 + r) can be rewritten as: 30 + 15r.
How to Use the Distributive Property to Rewrite an Algebraic Expression?To use the distributive property to rewrite an algebraic expression, you need to multiply the value outside the parentheses by each value inside the parentheses.
For example, if you have the expression "a(b + c)", you would use the distributive property to rewrite it as "ab + ac".
15(2 + r) (given)
15 * 2 + 15 * r
30 + 15r
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Last summer, the Abrams family had a 30-gallon baby pool that they could fill in just 2 minutes. This summer, they purchased a larger kiddie pool that holds 150 gallons of water.
If the Abrams fill the larger pool at the same rate, how long will it take to fill it?
The answer is 10 minutes
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: Abrams family had a 30-gallon baby pool that they could fill in just 2 minutes. Thus speed = 30/2
=15 gallons per day
Thus to fill 150 gallons the time required is 150/15=10 mins
Hence, The answer is 10 minutes
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Due to covid-19 pandemic, the number of available seats in a hall was reduced from 125 to 93. Calculate the percentage decrease in the number of available seats.
Answer: To calculate the percentage decrease in the number of available seats, we can use the following formula:
(original value - new value) / original value * 100
In this case, the original value is 125 (the number of available seats before the reduction) and the new value is 93 (the number of available seats after the reduction). Plugging these values into the formula:
(125 - 93) / 125 * 100 = 32 / 125 * 100 = 0.256 * 100 = 25.6
So, there is a 25.6% decrease in the number of available seats.
Step-by-step explanation:
4 1/8 - 2 3/8 what is the answer to which question
Answer:
7/4
Step-by-step explanation:
4 1/8=33/8
2 3/8=19/8
-----------------
33/8-19/8=14/8=7/4
4. The collection of elderly full-time students currently
enrolled at your college
Therefore , the solution to the given problem of combination comes out to be 1,2,3,4, 5,6,7,8,9 .
What exactly is combination?Combinations are a method for determining an event overall results where the results' sequence is immaterial. Combinations will be calculated and use the formulae nCr = n! / r! * (n - r)!, were n includes the number of items and r represents the number of things being picked at a time.
Here,
Given: (14) 9,10, 11,12,.., 25
= A group of natural integers between 9 and 25.
(18)
The lowercase letter x follows d and comes before j in the alphabet.
e, f,g, h, I
(22)
the collection of natural numbers below 10.
1,2,3,4, 5,6,7,8,9 .
Therefore, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are the answers to the given combination problem.
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please help please due soon ty sm easy!
The angle measure used to create each section of the circle graph are (a) 90 (2) 195 (3) 72
How to find the measure of the angles?The given parameters that will help us to find the angles are:
Total number of surveyors = 500Number that use train = 125Number that use Airplane = 275Number that use Boat = 100The measure of the angles are:
1) number that use train =125/500 * 360 = 90⁰
2) Degree of people airplane is 275/500 *360 = 198⁰
3) Number that use boat = 100/500 * 360 = 72⁰
In conclusion the measurement of the angles for the three means are 90 degrees, 198 degree and 72 degrees respectively
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Line L1 has the equation x - 10y = 10.
Express the equation of L1 in slope-intercept form.
Answer:
[tex]y = \frac{1}{10}x - 1[/tex]
Step-by-step explanation:
Pre-SolvingWe are given the equation x - 10y = 10.
We want to write it in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.
SolvingNotice how in slope-intercept form, only y is on one side.
This is because the equation is basically solved for y in slope-intercept form.
So, we should solve the equation for y.
Start by subtracting x from both sides.
x - 10y = 10
-x -x
_______________
-10y = -x + 10
Now, divide both sides by -10 to isolate y.
-10y = -x + 10
÷10 ÷10
_______________
[tex]y = \frac{1}{10}x - 1[/tex]
The time needed to paint a fence varies directly with the length of the fence. If it takes 5 hours to paint 200 feet of the fence, how long will it take to paint 500 feet of fence?
Answer:
Step-by-step explanation:
The Answer is 12.5 because...
200/5=40
40x12.5=500
So that means 12.5x40=500
Multiply. What is the value of the first partial product?
26 × 107
please i need this answered asap i am being timed anyone please! its 5th grade math
The value obtained after calculating the first partial product of 26 × 107 is, 214
What is the partial product?It is a mathematical technique, by which we do a multiplication operation by doing the sub-parts of the multiplier and then we do separately multiplication, after that we add both the results.
Given numbers,
26×107
Two sub-parts (26) of multiplier
26 = 2×13
First partial multiplier = 2
Second partial multiplier = 13
First partial product = 2×107 =214
Hence, First partial product 214
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Select the table that represents a linear function. (Graph them if necessary.)
OA. x 0 1 2 3
y 0136
OB. x 0 1 2 3
y 0149
OC. XO 1 2 3
y 13 9 5 1
OD. x 012 3
y 5797
SUBMIT
Answer:
Step-by-step explanation:
The table that represents a linear function is ob x 0 1 2 3 y 0149
2*3^20-5*3^19/(-9)^9
The given expression is:
(23^20-53^19)/(-9)^9
This is a mathematical expression that involves multiple operations. The first step is to understand the order of operations, or PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction)
Parentheses: The expression does not contain any parentheses, so we can move on to the next step.
Exponents: The first term, 23^20, contains an exponent. The exponent operator (^) has higher precedence than the multiplication operator (), so we will simplify the exponent first. 3^20 is equal to 3 raised to the power of 20, which is equal to 3 * 3 * 3 * ... * 3 (20 times) = 59,049. Therefore, the first term is now 2 * 59,049.
The second term 5*3^19 also contains an exponent, so we simplify it in the same way as the first term. 3^19 is equal to 3 * 3 * 3 * ... * 3 (19 times) = 7,29,043. Therefore, the second term is now 5 * 7,29,043.
Multiplication and Division: After simplifying the exponents, we can see that the expression contains both multiplication and division. Since division has the same precedence as multiplication, we can simplify the expression from left to right.
The first term 2 * 59,049 is the product of 2 and 59,049. Multiplying these two numbers gives us 118,098.
The second term 5 * 7,29,043 is the product of 5 and 7,29,043. Multiplying these two numbers gives us 36,45,215.
The third term is the division of two terms. We have (23^20-53^19) / (-9)^9
Subtraction : Now we have the subtraction of two terms (118,098 - 36,45,215)
Now we have the division of two terms (-35,27,117) / (-9)^9. In this step, we are dividing the subtraction with -9 raised to the power of 9
The final step is to simplify the division. -9^9 is equal to -9 * -9 * -9 * -9 * -9 * -9 * -9 * -9 * -9 = -3486784401.
So the final expression is -35,27,117/-3486784401.
The expression is a very large negative number divided by a very large negative number, which results in a very small positive number.
which one do i chooose?
Answer:
4
Step-by-step explanation
for a rectangle you have to lengths and 2 width so you will have to have 2w+2 and then times 4w+3 which should equal 56
In the diagram below, PQ is parallel to MN. If PQ is 2 more than MP,
PO = 12, and MN = 12, find the length of MP. Figures are not necessarily
drawn to scale. State your answer in simplest radical form, if necessary.
Therefore , the solution to the given problem of triangle comes out to be the length MP is measured at 6 units.
Explain the triangle.Due to its three vertices and three sections, a component is a polygon. It has a simple geometric form. Triangle ABC refers to a triangle only with points A, B, and C. When components are not collinear, a singular plane and triangle are found. Triangles are regarded as polygons since they have three corners and a right side. The points where a triangle's three sides intersect are known as the triangle's corners. By compounding three triangle angles, one gets 180 degrees.
Here,
Triangle OMN is provided.
Now, OMN and OPQ are comparable. It follows that the side lengths are in proportion to one another. We can write:
=>OP = OM = PQ = MN
=>OM = PQ/MN in 12
=>(OP + PM)/12 = PQ/MN
Considering that -
=>PQ = MP + 2
=>12/(OP plus PM) = (MP plus 2)/MN
=>12MN equals (MP + 2)(OP + PM).
=>12 × 12 = (MP + 2)(MP + 12)
=>2 MP plus 12 MP plus 2 MP plus 24 = 144
=>(MP)² + 14(MP) - 120 = 0
We can write - if MP = x.
=>x² + 14x - 120 = 0
=>(x + 20)(x - 6) = 0
=>(x + 20) = 0 and (x - 6) = 0
x = - 20 and x = 6
There can be no negative lengths, hence x = 6
Consequently, the length MP is measured at 6 units.
Therefore , the solution to the given problem of triangle comes out to be the length MP is measured at 6 units.
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A number cube is tossed 60 times.
Outcome | Frequency
1 | 12
2 | 13
3 | 11
4 | 6
5 | 10
6 | 8
Determine the experimental probability of landing on a number less than 2.
A. 35 over 60
B. 25 over 60
C. 13 over 60
D. 12 over 60
Answer:
D. 12 over 60----------------------------
Total number of frequencies:
12 + 13 + 11 + 6 + 10 + 8 = 60Number of frequencies with the outcome of less than 2:
12 of 1'sProbability of a number less than 2:
Probability = favorable outcomes / total outcomesP = 12/60 = 1/5 or 20%The matching choice is D.
Answer:
[tex]\sf D. \quad \dfrac{12}{60}[/tex]
Step-by-step explanation:
Experimental probability is based on the actual results of an experiment.
Theoretical probability is based on possible outcomes based on assumptions.
Experimental probability
Calculated by dividing the number of times an event happens by the total number of trials in an actual experiment.
[tex]\boxed{\textsf{Experimental Probability} = \dfrac{\textsf{Number of times an event happens}}{\textsf{Total number of trials}}}[/tex]
From inspection of the given table, the actual results (frequency) of landing on a number less than 2 is 12.
The total number of trials is 60.
Therefore:
[tex]\sf \implies P(x < 2)=\dfrac{12}{60}[/tex]
How can you add 3/10 and 2/5
Answer:
7/10
Step-by-step explanation:
steps linked below