A value for x is therefore represented by the first number in an ordered pair, and a value for y is represented by the second.The x- and y-coordinates are the names given to these values.
Find the value of x and y ?The Method of Elimination
To ensure that the two equations have the same leading coefficient, multiply each equation by a reasonable number in step one.
Step 2: Reverse the first equation and subtract the second one.
Step 3: Find y using this new equation.
Step 4: Change Equation 1 or Equation 2 above to y = 2 and then solve for x.
multiply the equation y = x - 6 by -6.
You will then get the equation: 6y = -6x + 36
The two equations will be:
6y = -6x + 36
y = 6x - 19
And you can see that if you add them, you will be able to eliminate x. answer is -6.
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Find m<1, m<2 and m<3 86 degree 12 and 3
The angle measures are <1 = 86 degrees, <2 = 94 degrees and <3 = 86 degrees
How to determine the measure of each angle?The possible diagram that completes the question is added as an attachment
From the attached diagram, we have the following representation
<1 + <2 = 180 degrees --- by the theorem of supplementary angles
Also, we have the following angle measure
Given that
<1 = 86 degrees
Substitute the known values in the above equation
So, we have the following equation
86 + <2 = 180
Evaluate the like terms
<2 = 94
Also, we have
<3 = <1 --- by the theorem of vertical angles
Substitute the known values in the above equation
<3 = 86
This is so because <1 = 86 degrees
Hence, the measures of the angles are <1 = 86 degrees, <2 = 94 degrees and <3 = 86 degrees
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K=2; f(x)=-x^3 -2x ^2+3 answer
The value of the function f(x) = [tex]x^3-2x^2+3[/tex] when x = 2 is f(2) = 3
The given function is
f(x) = [tex]x^3-2x^2+3[/tex]
The function is the mathematical statement which represents the relationship between one variable and another variable. If one variable is dependent variable the other variable will be independent variable.
The given function is
f(x) = [tex]x^3-2x^2+3[/tex]
The value of x = 2
Then substitute the value of x in the function
f(x) = [tex]x^3-2x^2+3[/tex]
f(2) = [tex]2^3-2(2)^2+3[/tex]
Solve the power of each terms
f(2) = 8 - 8 + 3
Do the arithmetic operations
f(2) = 3
Hence, the value of the function f(x) = [tex]x^3-2x^2+3[/tex] when x = 2 is f(2) = 3
The complete question is:
Find the value of f(x) = [tex]x^3-2x^2+3[/tex] , when x = 2
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what is -112 = -7(v + 4) ?
Answer:
Step-by-step explanation:
1.) -112*-7=784
784=v+4
2.)784-4=780
v=780
Answer:
v = 12
Step-by-step explanation:
-112 = -7v -28
7v = 112 - 28
7v = 84
7/7 v = 84/7
v = 12
Find missing side length given two similar triangles
Answer: 49
Step-by-step explanation:
by using triangle ABC and the known values of triangle XYZ, we can divide side XY/AB, 28/4=7. By doing the same with YZ/BC, 56/8=7, we find that the scale factor is 7. With this information, we multiply side CA by the scale factor, 7x7=49.
2 1/7:15a=5/14:0.8. solve
The value of a from the equation is a = 0.32
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be 2 1/7 : 15a = 5/14 : 0.8
Now , on simplifying the equation , we get
15/7 : 15a = 5/14 : 0.8
Multiply by 14 on both sides of the equation , we get
( 15 x 2 ) : 15a = 5 : 0.8
30 : 15a = 5 : 0.8
So , on simplifying the equation , we get
30 / 15a = 5 / 0.8
Divide by 5 on both sides , we get
6 / 15a = 1 / 0.8
Multiply by 0.8 on both sides of the equation , we get
15a = 6 x 0.8
15a = 4.8
Divide by 15 on both sides , we get
a = 4.8 / 15
a = 0.32
Therefore , the value of a = 0.32 or a = 8 / 25
Hence , the value of a in the equation is a = 0.32
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Select answers from the drop-down menus to correctly complete the statements. A scale factor of Choose... was applied to the first triangle to the get the resulting image. This scale factor is Choose... .
((Image: An isosceles triangle with a side length of 3.4. An arrow points to a smaller isosceles triangle with a side length of 1.7)
Answer: A scale factor of 1/2 was applied to the first triangle to get the resulting image.
Step-by-step explanation: The initial side length of 3.4 is twice as long as 1.7, the initial triangle was reduced to half of the initial size.
Answer:
The triangle is still an equilateral triangle as before, and the only difference is that the side length is halved from 3.4 to 1.7 (3.4/2=1.7). Therefore, the scale factor is 1.7/3.4=0.5. A scale factor <1 means that the original shape is reduced. The scale factor would be a reduction.
Step-by-step explanation:
The image would be of a triangle.
Hope this helps! :))
1,1,2,3,4,5,7,9,
Find the common value
Hey can someone please help me out? Thank you so much!
Answer:
Step-by-step explanation:
area=10×5+[(15-5)+7]/2×(10-6)
=50+(17)/2×4
=50+34
=?
The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 2018. Approximate the mean and standard deviation for age.
Age: 25-34 35-44 45-54 55-64
Number: 24.3 36.1 36.7 20.9
(Millions)
The mean age is:
The standard deviation is:
The mean age is equal to: 44.09.
The standard deviation is equal to: 10.07.
How to determine the mean age and standard deviation?First of all, we would determine the median of each class interval as follows:
Median 1 = (25 + 34)/2 = 29.5
Median 2 = (35 + 44)/2 = 39.5
Median 1 = (45 + 54)/2 = 49.5
Median 1 = (55 + 64)/2 = 59.5
Next, we would calculate the mean age by using this mathematical expression:
Mean age = ∑fx/∑f
Substituting the given parameters into the formula, we have;
Mean age = [(24.3 × 29.5) + (36.1 × 39.5) + (36.7 × 49.5) + (20.9 × 59.5)]/(24.3 + 36.1 + 36.7 + 20.9)
Mean age = [716.85 + 1,425.95 + 1,816.65 + 1,243.55]/118
Mean age = [5,203]/118
Mean age = 44.09.
Now, we can calculate the standard deviation as follows:
Standard deviation, S = √((∑f(xi - μ)²/∑f)
Standard deviation, S = √((24.3 × (29.5 - 44.09)² + (36.1 × (39.5 - 44.09)² + (36.7 × (49.5 - 44.09)² + (20.9 × (59.5 - 44.09)²)/(24.3 + 36.1 + 36.7 + 20.9))
Standard deviation, S = √((5172.70 + 760.56 + 1,074.14 + 4,963.08)/118)
Standard deviation, S = √(11,970.48/118)
Standard deviation, S = √101.5
Standard deviation, S = 10.07.
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What is the probability of drawing an event number then drawing a diamond out of a deck?
Probability is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability of drawing an even number from a deck of cards is 5/13.
The probability of drawing an even number and then drawing a diamond out of a deck is 1/8.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of even numbers in a deck of cards.
= 5 x 4
= 20
The number of diamonds in a deck of cards.
= 4
Now,
The probability of drawing an even number from a deck of cards.
= 20 / 52
= 10/26
= 5/13
Now,
The remaining cards.
= 52 - 20
= 32
The probability of drawing diamonds after drawing the even numbers.
= Number of diamonds / remaining cards
= 4 / 32
= 1/8
Thus,
The probability of drawing an even number from a deck of cards is 5/13.
The probability of drawing an even number and then drawing a diamond out of a deck is 1/8.
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Question 3(Multiple Choice Worth 1 points)
(02.04 MC)
In triangle DEF, if mZD = (2x)°, mZE = (2x - 4)º, and mZF = (x + 9)°, what is the value of x?
A)35
B)37
C)44
D)71
By using property of triangle and trapezium, it is obtained that
a) value of x is 35°
b) Third option is correct
What is a triangle and trapezium?
Triangle is a three sided two dimensional figure.
Trapezium is a quadrilateral whose one pair of opposite side is parallel and another pair of opposite side is non parallel
Here property of triangle is used
[tex]m \angle D = (2x)^{\circ}, \ m\angle E = (2x - 4)^{\circ}, m \angle F = (x +9)^{\circ}[/tex]
[tex]m \angle D + m\angle E + m \angle F = 180\\2x + 2x - 4 + x + 9 = 180\\5x + 5 = 180\\5x = 180 - 5\\5x = 175\\x = \frac{175}{5}\\x = 35^{\circ}[/tex]
In the second question, if the trapezoid is rotated 90° clockwise, then (x, y ) will change to (y, -x) and new coordinate of A is (1, 5)
Third option is correct
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PLEASE answer ill give BRAINLIEST
1.What is the measure of CBA?
2.What is the measure of CAB?
3.When these 3 interior angles of a triangle are added together, what does it equal.
The measure of CBA is 44° , the measure of CAB is 46° and the sum of the three interior angles of the triangle is 180°.
According to the question,
We have the following information:
Angle CAB = 2x
Angle CBA = 3x-20
And the given triangle is a right-angled triangle which means that one of its angle is 90°.
Now, we know that the sum of three angles of a triangle is 180°.
So, we have the following expression:
2x+3x-20+90 = 180°
5x+70 = 180
5x = 180-70
5x = 110
x = 110/5
x = 22°
Now, putting the value of x in given angles:
Angle CAB = 2x
Angle CAB = 2*22
Angle CAB = 44°
Angle CBA = 3x-20
Angle CBA = 3*22-20
Angle CBA = 66-20
Angle CBA = 46°
Hence, the measure of CBA is 44° , the measure of CAB is 46° and the sum of the three interior angles of the triangle is 180°.
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Suppose the government has a balanced budget and wants to increase spending without changing tax rates. The government enters the loanable funds market to borrow $150 billion for economic stimulus spending. How much money is available for private investment after this action has shifted the demand curve as shown in the figure?
The money available for private investment is $250 billion dollar
What is demand curve ?
The demand curve is a graphical representation of the connection between the cost of a commodity or service and the amount that is demanded over time. The price will often be shown on the left vertical axis in a representation, and the amount needed will typically be shown on the horizontal axis.
Refer to the attachment for graph:
Once investments and government borrowing are added together, the total is = $400
if borrowing from the government is= $150
private investment
=( investment and and government borrowing) - (government borrowing )
= $400 - $150 = $250
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An amusement park has two types of season passes. Plan 1 charges a one-time fee of $145.00 for admission
plus $5.00 every trip for parking. Plan 2 charges a one-time fee of $40.00 for parking plus $12.00 every trip for
admission. For what number of trips is the cost of these plans the same?
The number of trips after the cost of the plan A and plan B is 16.
According to the question,
We have the following information:
Plan 1 charges a one-time fee of $145.00 for admission plus $5.00 every trip for parking. Plan 2 charges a one-time fee of $40.00 for parking plus $12.00 every trip for admission.
So, this will make an arithmetic progression.
The formula to find nth term of an A.P:
an = a+(n-1)d where a is the first term
Now, on left hand side, we have nth term for plan A and on the right hand side, we have the nth term for plan B because their nth term will be equal.
145+(n-1)5 = 40+(n-1)12
145+5n-5 = 40+12n-12
5n+140 = 12n+28
140-28 = 12n-5n
7n = 112
n = 112/7
n = 16
Hence, the number of trips after the cost of the plan A and plan B is 16.
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A trust company offers 3-year compund interest GIC earning annual interest of 5.50% compounded monthly or 5.70% compounded semi-annually. Which rate should an investor choose?
As per the given interest rate and types of annual interest , investor should choose compounded monthly as it gives interest more frequently .
As given in the question,
Time period to calculate the compound interest = 3years
Interest rate compounded monthly = 5.50%
Each month interest output is 5.64079
Rate of interest compounded semi- annually = 5.70%
Each month interest output is 5.78123
Compounded monthly gives interest every month and semi-annually gives twice a year.
Monthly is more frequent compare to semi-annually.
Investor should choose monthly.
Therefore, as per the given interest rate and types of annual interest , investor should choose compounded monthly as it is more frequent .
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Find a number that is 6 times as large as 9 minus 3
The required number is 1 which represents "6 times as large as 9 minus 3".
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is reasoning.
We have to determine the number that is "6 times as large as 9 minus 3".
Let the required number would be x
Translate the phrase "6 times as large as 9 minus 3" into the algebraic form :
⇒ 6 × x = 9 - 3
⇒ 6x = 6
⇒ x = 6 / 6
⇒ x = 1
Thus, the required number is 1 which represents "6 times as large as 9 minus 3".
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Pls help 3z2-6z for z=5
Answer:
0
Step-by-step explanation:
to me you use the exponent first and then add the variable after, 30-30=0 and if you do the variable first 225-30=195. But my answer would be 0.
Answer: 78
Step-by-step explanation:
3z2-6z for z=5
Determine whether the polygons to the right are similar.
Answer:
A the scale factor is 2 from LMN to CDF (or 1/2 from CDF to LMN).
Step-by-step explanation:
shadows are similar, when they have the same angles, abd if there is one scale factor for all sides and other lengths from one shape to the other.
8×2 = 17
15×2 = 30
17×2 = 34
What is the average hourly pay of someone making 45,000 per year? Assume a 40 hour workweek and a 52 week year.
The average hourly pay of person making 4500 per year is 21.63 per hour.
Given that,
we have to find what does a person making $45,000 a year make per hour on average, Assume a 52-week year and a 40-hour workweek.
To calculate this
The ratio of the sum of the values in a given set to all the values in the set is the mean value, which is the definition of the average.
We have to multiply 52-week year and a 40-hour work week.
40×52
2080
Now, divide 45000 by 2080
45000/2080
21.63
Therefore, The average hourly pay of person making 4500 per year is 21.63 per hour.
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what percent is 25 of 100
Answer:
25 percent.
Step-by-step explanation:
25 divided by 100 is equal to 0.25. You then multiply that by 100 to get percent, which is 25 percent.
Hope it helps.
will reward brainliest please help!!!
Dianelys accepted a new job at a company with a contract guaranteeing annual raises. In the first year, Dianelys' salary will be $40000, and she will get a raise of $2500 every year. Make a table of values and then write an equation for S,S, in terms of n,n, representing Dianelys' salary after working nn years for the company.
1. Dianely's salary can be represented with the following table of values for 5 years as follows:
Year Salary
1 $40,000
2 $42,500
3 $45,000
4 $47,500
5 $50,000
2. The equation to model Dianely's salary after n years is S = 40,000 + 2,500n.
What is an equation?An equation is a mathematical statement equating two or more mathematical expressions.
Equations use variables, numbers, mathematical operands, and the equation symbol (=).
Dianely's initial salary = $40,000
Salary raise per year = $2,500
Dianely's salary after n years in equation form, S = 40,000 + 2,500n.
Table of Values for Dianely's Salary:Year Salary
1 $40,000
2 $42,500 (40,000 + 2,500)
3 $45,000 (42,500 + 2,500)
4 $47,500 (45,000 + 2,500)
5 $50,000 ($47,500 + 2,500)
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A rectangular-prism-shaped toy chest is 2 \text { m}2 m2, start text, space, m, end text by 1 \text { m}1 m1, start text, space, m, end text by 1 \text { m}1 m1, start text, space, m, end text.
A shipping crate is packed with 181818 of these toy chests. There is no extra space in the crate.
What is the volume of the crate?
The volume of the crate if there is no extra space in the crate is 36m³.
How calculate the volume?From the information illustrated, the prism is 2m by 1m by 1m abd the shipping crate is packed with 18 of these.
In this case, the volume will be:
= Length × Width × Height
= 2 × 1 × 1
= 2m³
Since there are 18 crates, the total volume will be:
= 2m³ × 18
= 36m³
The volume is 36m³.
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Complete question
A rectangular-prism-shaped toy chest is 2m by 1m by 1m. A shipping crate is packed with 18 of these toy chests. There is no extra space in the crate. What is the volume of the crate?
Allison has 2 aquariums. In each aquarium she has 2 families of guppies and 3 tetras. Leigh has 1
16
aquarium with 10 tetras and 3 families of guppies. Allison and Leigh have the same number of
fish and their guppy families each have the same number of members. How many guppies are in
each family?
PLEASE HELP URGENT
By solving a linear equation, it can be calculated that
There are 4 guppies in each family
What is a linear equation?
At first it is important to know about equation.
An equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sigh
A one degree equation is known as linear equation.
Here a linear equation needs to be solved
Let the number of guppies in each family be x
Allison has 2 aquariums.
In each aquarium she has 2 families of guppies and 3 tetras.
Total number of fishes Allison have = 2(2x + 3) = 4x + 6
Leigh has 1 aquarium with 10 tetras and 3 families of guppies.
Total number of fishes Leigh have = 3x + 10
By the problem,
4x + 6 = 3x + 10
4x - 3x = 10 - 6
x = 4
There are 4 guppies in each family
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Can you write 6 x 10^5 x 0.08 in scientific notation.
Please.
4.8 × 10^4
Step-by-step explanation:= 4.8 × 10^4 {scientific notation}= 4.8e4 {scientific e notation}= 48 × 103 {engineering notation - thousand; prefix kilo- (k)}= 4.8 × 104 {standard form}4 {Order of Magnitude - for scientific and standard forms}= 48000 {real number}= forty-eight thousand {word form}The blood types of 200 people are collected at a doctor’s office. The table shows the breakdown of patients by blood type.
If a person from this group is selected at random, what is the probability that this person has type AB blood? Express your answer as a fraction in lowest terms or as a decimal rounded to the nearest millionth (if necessary).
Blood Type Survey Results
Blood Type Number of Patients
A 45
B 65
O 75
AB 15
Answer:
[tex]\frac{3}{40}=0.075[/tex]
Step-by-step explanation:
The probability of a person selected at random from this group having type AB blood is 15 out of 200 total people. Therefore:
[tex]\frac{15}{200}=\frac{3}{40}=0.075=7.5\%[/tex]
Write an equation in standard form of the line that passes through
(–9, 4) and has a slope of –2/3.
(Add explanation please )
Also, Write the standard form of the equation y + 4 = – ⅗ (x – 8).
Answer:
2x + 3y = - 63x + 5y = 4-------------------------------
Standard form of a lineax + by = cGivenPoint on the line (-9, 4) and a slope m = - 2/3Use point- slope form and convert to standardy - y₁ = m(x - x₁), where (x₁, y₁) is the point on the liney - 4 = - 2/3(x - (-9))y - 4 = - 2/3(x + 9)3(y - 4) = - 2(x + 9)3y - 12 = - 2x - 182x + 3y = 12 - 182x + 3y = - 6Standard of the line y + 4 = - 3/5(x - 8)y + 4 = - 3/5(x - 8)5(y + 4) = - 3(x - 8)5y + 20 = - 3x + 243x + 5y = 24 - 203x + 5y = 4Please help me verify. I am stuck.
The trigonometric identity presented in this problem is proved trough the answer, reaching an answer 1 = 1.
Proving the identityThe identity is presented as follows:
[tex]\csc{\beta} + 1 = \frac{\cot{\beta}}{\sec{\beta} - \tan{\beta}}[/tex]
Then we take the right side of the denominator, and apply the subtraction of perfect squares to the denominator, as follows:
[tex]\frac{\cot{\beta}}{\sec{\beta} - \tan{\beta}} \times \frac{\sec{\beta} + \tan{\beta}}{\sec{\beta} + \tan{\beta}} = \frac{\cot{\beta}(\sec{\beta} + \tan{\beta})}{\sec^{2}{\beta} - \tan^2{\beta}}[/tex]
The following identity relates the square of the secant and of the tangent:
[tex]\tan^2{\beta} + 1 = \sec^2{\beta}[/tex]
Hence:
[tex]\sec^2{\beta} - \tan^2{\beta} = 1[/tex]
Thus the remaining expression is:
[tex]\frac{\cot{\beta}(\sec{\beta} + \tan{\beta})}{\sec^{2}{\beta} - \tan^2{\beta}} = \cot{\beta}(\sec{\beta} + \tan{\beta})[/tex]
The equations of the cotangent, secant and tangent are given as follows:
Cotangent: cosine/sine.Secant: 1/cosine.Tangent: sine/cosine.Hence:
[tex]\cot{\beta}(\sec{\beta} + \tan{\beta}) = \frac{\cos{\beta}}{\sin{\beta}}\left(\frac{1}{\cos{\beta}} + \frac{\sin{\beta}}{\cos{\beta}}\right) = \frac{1}{\sin{\beta}} + 1[/tex]
One divided by the sine is the cosecant, as follows:
[tex]\frac{1}{\sin{\beta}} = \csc{\beta}[/tex]
Hence the simplified expression is:
[tex]\csc{\beta} + 1[/tex]
Which is equivalent to the right side of the expression, hence an identity of the format 1 = 1 is reached and the identity is proven.
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Please help :(
Solve each equation for x. Show all steps.
1) log base4 (x^2 -12x+48) =2
2) 27^(4x-6) = (1/9)^(2x-7)
The values of x in the equations are as follows:
1. x = 8 or 4
2. x = 2
How to solve equations?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
Therefore, let's solve the equation as follows:
log₄ x² - 12x + 48 = 2
using law of logarithm
4² = x² - 12x + 48
16 = x² - 12x + 48
x² - 12x + 48 - 16 = 0
x² - 12x + 32 = 0
x² - 4x - 8x + 32 = 0
x(x - 4) - 8(x - 4) = 0
(x - 8)(x - 4) = 0
Therefore,
x = 8 or x = 4
[tex]27^{(4x-6)}=(\frac{1}{9})^{2x-7}[/tex]
[tex]27^{(4x-6)}=(3^{-2} )^{2x-7}[/tex]
[tex]3^{3(4x-6)}=3^{-4x+14}[/tex]
[tex]3^{12x-18} =3^{-4x+14}[/tex]
Cancel the base
Therefore,
12x - 18 = - 4x + 14
12x + 4x = 14 + 18
16x = 32
x = 32 / 16
x = 2
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Write a coordinate rule for the composition 
Answer:
so basically u do that and then u do that and then
Step-by-step explanation:
8
Name a plane in the image.
A
•C
B
Answer:
ABCStep-by-step explanation:
A is a point
AB is a line
ABC is a plane
Therefore, ABC is a plane.
__________________
Hope this helps!
Have a great day!