The quadratic equation, x(2) + 2 =420 can be used to find x.
you can use trial and error
x(2) + 2 =420
210(2)=420 but we need to add the two so lower the [tex]120[/tex]
209(2)=418+2 = 420
so, the x value must less than 21.
How do you write a quadratic equation in standard form?A quadratic equation with variable x is written in standard form as [tex]ax2 + bx + c = 0[/tex], where a, b, and c are constants such that the value of an is non-zero but the values of b and c can both be zeros.
Let's change [tex]ax2 + bx + c = 0[/tex] from its standard form to its vertex form, which is [tex]a (x - h)2 + k = 0[/tex], where (h, k) is the vertex of the quadratic function [tex]f(x) = a (x - h)2 + k[/tex]. Keep in mind that 'a' has the same value in both equations. Just set them equal so we can determine how the variables relate to one another.
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Absolute Value
7 |dl = 49
The length of a rectangle is 3 more than twice the width. the perimeter is 36 inches. what is the area?
If the length of a rectangle is 3 more than twice the width and the perimeter is 36 inches, then the area of the rectangle is equal to 65 in².
The length and width of the rectangle can be determined by using the formula for the perimeter of the rectangle,
P = ( L + W ) × 2
P = 2L + 2W
Here L is equal to the length of the rectangle and W is the width of the rectangle.
As the length is 3 more than twice the width, we can write the length of the rectangle as,
L = 3 + 2W
Putting L = 3 + 2W in the equation of perimeter,
P = 2L + 2W
As P = 36
36 = 2( 3 + 2W) + 2W
36 = 6 + 4W + 2W
6W = 30
W = 30 ÷ 6
W = 5
The length of the rectangle can be found by putting W = 5 in the equation,
L = 3 + 2W
L = 3 + 2(5)
L= 3 + 10
L = 13
Therefore, the length and width of the rectangle are equal to 13 and 5 respectively
As, area = width × length
area = 5 × 13
area = 65
Hence, the area of the rectangle is equal to 65 square inches.
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Can I have this checked?
The measure of angle JKN is 108 degrees
How to determine the measure of angle JKN?From the figure, we have the following parameters
Angle 1 equals Angle 2
Where
Angle 1 = Angle JKP = 3r + 12
Angle 2 = Angle PKN = 4r - 2
Recall that
Angle 1 equals Angle 2
So, we have
3r + 12 = 4r - 2
Evaluate the like terms
r = 14
Substitute r = 14 in Angle 1 = Angle JKP = 3r + 12 and Angle 2 = Angle PKN = 4r - 2
Angle 1 = Angle JKP = 3 * 14 + 12 = 54
Angle 2 = Angle PKN = 4 * 14 - 2 = 54
The measure of angle JKN is calculated as
Angle JKN = Angle 1 + Angle 2
So, we have
Angle JKN = 54 + 54
Evaluate
Angle JKN = 108
Hence, the measure of angle JKN is 108 degrees
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When the signs are of the integers the same, 1.__________
the integers and copy the 2.) ________ sign. When the signs are
3,) ____________, subtract them and use the sign of the number
with the greater 4) _________. If we add two same numbers with
different signs, then the answer is equal to 5.) ___________.
The sum of two negative integers is a 6. )_________ integer. The
sum of two positive integers is a 7.) ___________ integer.
When the signs of the integers are the same, 1) add the integers and copy the 2) same sign. When the signs are 3) different, subtract them and use the sign of the number with the greater 4) absolute value. If we add two same numbers with different signs, then the answer is equal to 5) zero . The sum of any two negative integers is always a 6. )negative integer. The sum of any two positive integers is a 7) positive integer.
Integers are a subset of real numbers that contains all rational numbers except decimals or fractions
When the signs are the same, add the integers and copy the same sign.
Examples: (+2) + (+8) = +10
-1 + (-4 )= -5
When the signs are different, we subtract and use the sign of the number with the bigger absolute value.
Examples; +12 + (-4) = +8
-12 + (+4) = -8
If we add two same numbers with different sign then the answer is equal to zero.
Examples: +5+ (-5) = 0
-1 + +1 = 0
The sum of any two negative integers is a always a negative integer.
Examples: -3 + (-5) = -8
-16 + (-10) = -26
The sum of any two positive integers is a always a positive integer.
Examples: +12 + +56 = +68
+35 + + 15= +50
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Write 42 900 000 in standard form
Answer:33.1
Step-by-step explanation: 3.61 × 10-3 =33.1
Step-by-step explanation:
429 × 10⁷
hopefully it will help you
Find the distance CD rounded to
the nearest tenth.
C (7,-4) and D = (-8,-5)
CD= [?]
HINT: Use the distance formula:
d = √(x₂-x₁)² + (y2-Y₁)²
Round your answer to the tenths place.
The distance between two points [tex](x_{1}, y_{1} )[/tex] and [tex](x_{2} ,y_{2})[/tex] is given by
[tex]d = \sqrt{ (x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2} }[/tex] …(1)
Given points are:
C = (7,-4) = [tex](x_{1}, y_{1} )[/tex]
D = (-8,-5) = [tex](x_{2} ,y_{2})[/tex]
Substituting the values in equation (1), we get
[tex]CD = \sqrt{ (-8-7)^{2} +(-5-(-4))^{2} }[/tex]
[tex]CD = \sqrt{ (-15)^{2} +(-1)^{2} }[/tex]
[tex]CD = \sqrt{{ 225} +1 }[/tex]
[tex]CD = \sqrt{{ 226 }[/tex]
[tex]CD = 15.03}[/tex]
After Rounding it to nearest tenth, we get
CD = 15 units
Hence, the distance between the points (7,-4) and (-8,-5) is 15 units.
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The cost of 20 cans of dog food at Store B is $18.40?
Calculate the price for 11 cans of dog food.
The cost of 11 cans of dog food will be equal to $10.12.
What is unitary method ?
The unitary method is a method in which , you first determine the value of a single unit before determining the value of the required quantity of units.
It is given that the cost of 20 cans of dog food at store B is $18.40.
We need to find cost of 1 can of dog food and that can be calculated by dividing the cost of cans of dog food by total no. of cans.
i.e.,
Cost of 1 can of dog food = $ 18.40 ÷ 20
So ,
The cost of 1 can of dog food will be :
= $0.92
Now , the cost of 11 cans of dog of food will be calculated by multiplying cost of 1 can of food to 11 cans of dog food which will be :
= 11 × $ 0.92
= $10.12
Therefore , the cost of 11 cans of dog food will be equal to $10.12 .
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1+1 =3
thế 1239479823749082+2321887349274971+282715371864791-168492614916=
Answer:
3.8439141e+15
now find the components nx and ny of n⃗ in the tilted coordinate system of part b. express your answer in terms of the length of the vector n and the angle θ , with the components separated by a comma.
The components are Nx= Ncosθ and Ny= -Nsinθ
What is a Vector?We know that the vector quantities are those quantities that have magnitude as well as direction.
Each vector quantity can be divided into two parts a horizontal and vertical component, the vertical component is known as the sine component while the horizontal component is known as the cosine component.
A vector component is the product of its length and the component angle.
Generally, F sinθ is the vertical component and F cosθ is the horizontal component,
Now, from the diagram the horizontal component of vector 'r' is
Nx= Ncosθ
and, the vertical component will be
Ny= -Nsinθ
this is in the opposite direction
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Can someone help me with this
Answer:
p) zero
q) 10,559.5
r) from $37,001 to $87,000
Step-by-step explanation:
p) zero
q) Tax = 3,572 + (58,500 - 37,000)(0.325)
= 3,572 + 6,987.5
= 10,559.5
r) from $37,001 to $87,000
8.a) A tree of 14m height is broken by the wind so that its touch touches the ground and makes an angle of 60 with ground. Find the length ot broken part of tree .please help for brainliest.
Answer:6.5m
Step-by-step explanation:
Daniel works at least 30 hours a week. He works as a math tutor and as a teacher. The number of hours Daniel works as a tutor (y) is at most twice the number he works as a teacher (x). •Write a set of inequalities that represents the constraints of the situation and state a point (x,y) that is the feasible region.
The set of inequalities that represents the constraints of the situation is y ≤ 2x, x + y ≥ 30 and a point (x, y) that is the feasible region is (10, 20)
How to write the set of inequalities that represents the constraints of the situation and state a point (x, y) that is the feasible region.The given parameters are:
Number of hours = at least 30 hours a week
This means that
x + y ≥ 30
Also, we have:
The number of hours Daniel works as a tutor (y) is at most twice the number he works as a teacher (x).
This means that
y ≤ 2x
Substitute y ≤ 2x in x + y ≥ 30
x + 2x ≥ 30
This gives
3x ≥ 30
Divide
x ≥ 10
Substitute x ≥ 10 in y ≤ 2x
y ≤ 2 x 10
Evaluate
y ≤ 20
Hence, the set of inequalities that represents the constraints of the situation is y ≤ 2x, x + y ≥ 30 and a point (x, y) that is the feasible region is (10, 20)
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Which of the following data sets has the smallest standard deviation and provides correct reasoning as to why it has the smallest standard deviation?
A) {-2, -1, 0, 1, 2} because the distribution of values is symmetrical around zero.
B (99.8, 99.9, 100, 100.1, 100.2} because the range of values is clustered very close to the mean.
c {9, 9.5, 10, 10.5, 11} because the difference between successive values is constant.
(80, 93, 100, 110, 118) because the sample mean is equal to the true mean of the population
Answer: is #b
Step-by-step explanation:
Three arithmetic means between 12 and 44
The three arithmetic means between 12 and 44 are -
20, 26, 36.
We have two numbers 12 and 44.
We have to determine the three arithmetic mean between these numbers.
What is Arithmetic Mean ?Assume that x, y and z are in AP, then -
y - x = z - y
2y = x + z
y = (x + z)/2
Here - y is called the arithmetic mean of x and z.
According to the question -
Assume that the three arithmetic means between the two numbers are -
12, a, b, c, 44
Then -
12 , 12 + d, 12 + 2d, 12 + 3d, 44
will be an AP with common difference 'd'.
Now, we have -
a[5] = 44
Using the formula for nth term of an AP, we get -
a + (n - 1)d = 44
12 + 4d = 44
4d = 32
d = 8
Therefore, the three arithmetic means are -
12 + 8 = 20
12 + 2 x 8 = 26
12 + 3 x 8 = 36
Hence, the three arithmetic means between 12 and 44 are -
20, 26, 36
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8×138
I got the Answer but I'm not sure
(tell if it is true or not ,if not pls tell the answer plsss)
Answer:
Did you mean 138/8?
If so, 17.25 is correct.
Answer:
hope it helps you
Step-by-step explanation:
thankss :) if its wrong let me know
a second sheet of paper is half as long and half as wide as the one described in part a. by what factor is its area less than the area found in part a? chegg
The factor of its area less than the initial area is 1/4
How to determine the factor of its area less than the initial area?The given parameters can be represented as:
Second sheet = 1/2 * The first sheet
Assume the sheet is rectangular, the area of the sheet is calculated as:
Area = Length * Width
So, the area of the second sheet is
Second sheet = 1/2Length * 1/2Width
This gives
Second sheet = 1/4(Length * Width)
So, we have:
Second sheet = 1/4 * First sheet
Hence, the factor of its area less than the initial area is 1/4
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HELP PLEASE WITH THIS MATH
Answer:
Shapes S and D are congruent because they are both parallel to the line. Shapes M and S have the same area since they both cover 6 triangles.
Step-by-step explanation:
What is n and m? In the angle
In the given triangle , ∠n = 50° and ∠m = 35°
What is an angle ?In the geometry, angle is defined as the geometry formed by the multiple rays. Or we can also say that the angle is a figure formed by two rays with having same initial point. The rays are also known as the sides of the angle. A angle can have two rays.
Some common terms related to angles :
Endpoint : It is the point where the rays met to each other.Ray : Ray is the side or line segment on which angle is formed.Curve : It is a line but not straight i.e. a bended line.Tangent : A line which touches the surface of curve.In the given question mark the triangle as ABC and the mid line as point D.
that means,
∠A = ∠n
∠B = ∠m
and, in ΔABC
∠C = 60 + 35 =95
now, as ΔCDB is isosceles triangle therefore,
∠m = ∠C = 35°
Also, as sum of all angle of triangle is 180
Therefore, ∠A + ∠B + ∠C = 180
=> ∠n + ∠m + 95 = 180
=> ∠n + 35 + 95 = 180
=> ∠n = 180- 130
=>∠n = 50
Hence in the triangle given , ∠n = 50 and ∠m = 35
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help me please 4+(−1/2/3)
Answer is 7/3
Step-by-step explanation:
Answer:
[tex]\frac{23}{6}[/tex] or 3.833333...
Hope this helps
Step-by-step explanation:
[tex]4+(-\frac{1}{2} *\frac{1}{3} )\\\\4+ (-\frac{1}{6} )\\\\4-\frac{1}{6} \\\\\frac{24}{6} -\frac{1}{6} \\\\\frac{23}{6}[/tex]
WILL GIVE BRAINLIEST need help asap
What will be the location of the y value of R' after using the translation rule (x + 4, y - 7), if the pre-image R is located at ( -17, -3)
Answer:
(-13, -10)
Step-by-step explanation:
Your original point is (-17, -13) The instruct tell you to move the point 4 units to the right and down 7 units.
-17 + 4 = -13
-3 - 7 = -10
Given f(x) = 5x? + 2 and g(x) = 8 - 3x, find the following.
12. Find g[f(-2)].
11. Find flg(x)).
Value of the given function f(x) = 5x +2 , g(x) = 8 -3x for the following condition:
a. g(f(-2)) =32
b. f(g(x)) =42 -15x
As given in the question,
Given function:
f(x) = 5x + 2
g(x) = 8 - 3x
Value of the function for the following condition:
a. g(f(-2))
f(x) = 5x + 2
⇒f(-2) = 5(-2) + 2
⇒f(-2) = -8
g(f(-2))= g(-8)
= 8 - 3(-8)
= 32
b. f(g(x)) = f(8-3x)
= 5(8 -3x) + 2
=42 -15x
Therefore, value of the given function f(x) = 5x +2 , g(x) = 8 -3x for the following condition:
a. g(f(-2)) =32
b. f(g(x)) =42 -15x
The complete question is :
Given function f(x) = 5x + 2 and g(x) = 8 - 3x, find the following value.
a. Find g[f(-2)].
b. Find f(g(x)).
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Yesterday, between noon and midnight, the temperature dropped by 28.4°F. If the temperature was -1.9°F at midnight, what was it at noon?
Answer:
n= 26.5
Step-by-step explanation:
Comment
You need some sort of formula for this question. But you more or less have to invent it.
Formula
Temperature midnight = noon - temperature drop
Givens
temperature drop = 28.4
temperature midnight = -1.9
Temperature noon = x
Solution
-1.9 = x - 28.4 Add 28.4 to both sides
-1.9 + 28.4 = x-28.4+28.4 Combine
Answer
26.5 = x
The temperature today was 82° last year on this day the temperature was 71 what was the change in temperature
The change in the temperature is 11°.
What is temperature ?Temperature is the physical quantity which describes, how much hot is something? Or we can say it is the quantity which measures the hotness and coldness of something. There are two main quantity values to measure the temperature which are Celsius and Fahrenheit.
Mathematically we can write :
1° Celsius = 32 Fahrenheit
How to find temperature change ?Suppose if we have temperature of two difference time space then we can easily find the difference between the two by simply subtracting them.
For the given question,
last year temperature = 82 degree
temperature today = 71 degree
therefore the change in the temperature in one year is :
82 - 71 = 11 degree.
Thus , the change in temperature is 11 degree.
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Find each sum or difference. Write the result in standard form.
(2.7m^2 - 3.1n) - (4n^2 + 5.1m)
The difference of the algebraic expression is 2. 7m² - 4n² - 8. 2m
How to determine the difference
To represent the difference in standard form is leave in the power or exponent of a variable or number.
Given the expression
(2.7m^2 - 3.1n) - (4n^2 + 5.1m)
First, expand the brackets
2. 7m² - 3.1 m - 4n² - 5. 1m
Then, collect like terms
2. 7m² - 4n² - 3.1m - 5. 1m
Subtract like terms, we have
2. 7m² - 4n² - 8. 2m
The difference of the algebraic expression gives 2. 7m² - 4n² - 8. 2m
Thus, the difference of the algebraic expression is 2. 7m² - 4n² - 8. 2m
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you know that your height is 5 ft 3 in. a friend measures you three times and gets these results: 5 ft 10 in, 5 ft 9.5 in, and 5 ft 10.5 in. how can these measurements be explained
The measurements can be explained as low accuracy and high precision.
Accuracy is how close or far off a given set of measurements are to their true value.
Precision is how close or dispersed the measurements are to each other.
Given,
His height = 5 feet 3 inches
Friend measures you three times and gets these results =5 ft 10 in, 5 ft 9.5 in and 5 ft 10.5 in
Here, the measurements are closely dispersed but the measurements are far from actual measurement.
Hence, the measurements can be explained as low accuracy and high precision.
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How do i solve these types of problems?
Answer: 49 & 82
Step-by-step explanation:
*the total degrees for each triangle is 180 degrees
9) Start with the triangle furthest left- subtract 71 and 57 both from 180. That leaves you with 52 degrees for that third angle. The angles that all make a straight line or straight angle add up to 180 degrees as well. Now, subtract the 52 and 65 from 180, which leaves you with 63 degrees for the first angle in the second triangle. Now subtract the 63 and 68 from 180, which leaves you with 49 degrees for that answer.
10) For this one, you will start with the triangle further right, since it already has two angles shown. Subtract the 85 and 35 from 180, which gives you 60 degrees for that third angle. Then, you can use the vertical angles to fill in its opposite angle in the first triangle (vertical angles are equal). This means that the first triangle has angles of 38 and 60 degrees, so subtract those both from 180, giving you 82 degrees for that answer.
Walden’s family is shopping for a reclining chair. The chair the family decided on has a retail price of $800 plus 5% sales tax at four stores. Each store is offering a different promotion.
The linear equation y= mx + b contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9. What is the value of m? What is the value of b?
The value of m and b of the linear equation are 4 and 19 respectively
How to represent linear equation?The linear equation is represented as y = mx + b, contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9
Linear equation can be represented as follows:
In slope intercept form,
y = mx + b
where
m = slope or gradientb = y-interceptTherefore, the linear equation y = mx + b contains the point (-4, 3) and is perpendicular to the line 5x + 20y = 9.
Perpendicular lines follows the following rules:
m₁ m₂ = -1
Therefore, let's find the slope of the second equation and use it to find the slope of the linear equation that passes through (-4, 3).
5x + 20y = 9
20y = -5x + 9
y = -1 / 4 x + 9 / 20
Hence,
- 1 / 4 m₂ = - 1
m₂ = 4
Therefore, let's find the equation since we have gotten the slope.
y = 4x + b
It's passing through (-4, 3)
3 = 4(-4) + b
3 = -16 + b
b = 3 + 16
b = 19
Therefore, the value of m and b of the linear equation are 4 and 19 respectively
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hey could someone help me understand this i'm confused.
Check the picture below.
1. true or false?
2.true or false?
3.true or false?
4.true or false?
(don’t mind the circled answers)
Answer:
1. true
2. false
3. false
4. true
Step-by-step explanation: