Answer:
433 1/8ft
Step-by-step explanation:
this is my answer
1. Which of the following are methods for solving systems of equations (select all that apply)
a) graphing
b) substitution
c) Using a Protractor
d) elimination
Answer:
1- graphing
2- substitution
3- elimination.
Solve For n !
[tex] \large \frak{2n + 5 = 6( {n}^{2} - 5) }[/tex]
Thank You!:)
The solution to the equation 2n + 5 = 6( n² - 5 ) is n = ( 1 - √(211 )) / 6 and n = ( 1 + √(211 )) / 6
What is the solution to the quadratic equation?Given the quadratic equation in the question;
2n + 5 = 6( n² - 5 )
First we simplify the given equation;
2n + 5 = 6( n² - 5 )
2n + 5 = 6n² - 30
6n² - 2n - 5 - 30 = 0
6n² - 2n - 35 = 0
To solve for n, we use the quadratic formula.
n = (-b±√(b² - 4ac)) / (2a)
Compare 6n² - 2n - 35 = 0 to the quadratic equation in its standard form an² + bn + c = 0.
a = 6b = -2c = -35Plug the values into the quadratic formula
n = (-b±√(b² - 4ac)) / (2a)
n = ( -(-2) ±√( (-2)² - 4 × 6 × -35 )) / (2 × 6 ))
n = ( 2 ±√( 4 + 840 )) / ( 12 )
n = ( 2 ±√( 844 )) / ( 12 )
n = ( 2 ±2√(211 )) / ( 12 )
n = ( 1 ± √(211 )) / 6
n = ( 1 - √(211 )) / 6 or n = ( 1 + √(211 )) / 6
Therefore, the values of n are ( 1 - √(211 )) / 6 and ( 1 + √(211 )) / 6.
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Emma is starting a cupcake business and borrows money from Dixons dynamite deals (DDD) .she agrees to pay back the loan after 10 years by making one payment of 80,000 , interest is compounded and fixed at 14,6% per annum.hpw much did emma borrow from (DDD) ?
The amount (present value) that Emma borrowed from Dixons Dynamite Deals (DDD) to repay after 10 years with a one-time payment of $80,000 at 14/6% compounded interest per annum is not more than $20,475.94.
Step-by-step explanation:
To find out how much Emma borrowed from Dixons Dynamite Deals (DDD), we can use the formula for the future value of a loan with compound interest:
Future Value (FV) = Principal Amount (P) * (1 + r)^n
Where:
P = Principal amount (the amount borrowed)
r = Interest rate per period (in decimal form)
n = Number of periods
In this case:
Future Value (FV) = $80,000 (the payment Emma will make after 10 years)
Interest rate (r) = 14.6% per annum = 0.146 (in decimal form)
Number of periods (n) = 10 years
Now, let's calculate the principal amount (P):
$80,000 = P * (1 + 0.146)^10
Now, let's solve for P:
P = $80,000 / (1.146)^10
P ≈ $80,000 / 2.97804
P ≈ $26,874.94
So, Emma borrowed approximately $26,874.94 from Dixons Dynamite Deals (DDD) to start her cupcake business.
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Each month, Tomas buys 4 boxes of crunchy granola bars and 2 boxes of chewy granola bars for his family. Crunchy granola bars come in boxes containing x bars, and chewy granola bars come in boxes containing y bars. Write two equivalent expressions for the total number of granola bars Tomas buys after 5 months. (5(__x+__y) and __x+__y)
The two equivalent expressions for the total number of granola bars Tomas buys after 5 months is 5(4x + 2y) and 20x + 10y
In mathematics, an expression is a combination of symbols (such as numbers, variables, and operators) that represent a mathematical object or value.
Tomas buys 4 boxes of crunchy granola bars and 2 boxes of chewy granola bars each month. Let's assume that each box of crunchy granola bars contains x bars and each box of chewy granola bars contains y bars.
To express the total number of granola bars that Tomas buys in one month, we can use the following expression:
4x + 2y
This expression shows that Tomas buys 4 boxes of crunchy granola bars, each containing x bars, and 2 boxes of chewy granola bars, each containing y bars.
To find the total number of granola bars that Tomas buys after 5 months, we need to multiply the expression by 5, since he buys granola bars each month for 5 months. This gives us the expression:
5(4x + 2y) = 20x + 10y
Alternatively, we can also express the total number of granola bars that Tomas buys in 5 months using the following expression:
5x(4) + 5y(2) = 20x + 10y
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a rectangular bedroom is 5 ft longer than it is wide. its area is 84 ft2. what is the width of the room?
The width of the bedroom is approximately 7.32 feet.
A rectangle is a four-sided figure with opposite sides being equal and parallel. The area of a rectangle is given by multiplying the length and width of the rectangle.
Let's assume that the width of the bedroom is 'x' feet. We know that the length of the room is 5 feet longer than its width. Therefore, the length of the room will be (x+5) feet.
Now, we can use the given area of the bedroom to set up an equation:
Area of rectangle = Length x Width
84 = (x+5) x x
Simplifying this equation, we get:
84 = x² + 5x
Rearranging, we get:
x² + 5x - 84 = 0
This is a quadratic equation that can be solved using the quadratic formula:
x = (-b ± √(b² - 4ac))/2a
In this case, a = 1, b = 5 and c = -84. Substituting these values in the formula, we get:
x = (-5 ± √(5² - 4(1)(-84)))/2(1)
Simplifying this, we get:
x = (-5 ± √721)/2
We can ignore the negative root since the width of the bedroom cannot be negative. Therefore, the width of the bedroom is:
x = (-5 + √721)/2
x ≈ 7.32 feet
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Rate my profile pic 1-10
Answer:
10
Step-by-step explanation:
i love how you look like a dinosaur
If 20 employees work in the office and 28 work in warehouse. What is the ratio of employees who work in the office to employees who work in the warehouse?
The ratio of employees who work in the office to employees who work in the warehouse is 5: 7
A ratio is a comparison of two quantities, and it is expressed as a fraction.
To find the ratio of employees who work in the office to employees who work in the warehouse, we need to first determine the total number of employees. In this case, we add the number of employees in the office (20) to the number of employees in the warehouse (28), which gives us a total of 48 employees.
Next, we can express the ratio of office employees to warehouse employees as a fraction by using the following formula:
Ratio = Quantity of First Term / Quantity of Second Term
In this case, the first term is the number of employees who work in the office (20) and the second term is the number of employees who work in the warehouse (28). So, the ratio of office employees to warehouse employees is:
Ratio = 20 / 28
Simplifying this fraction, we get:
Ratio = 5 / 7
This means that for every 5 employees who work in the office, there are 7 employees who work in the warehouse.
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weinstein, mcdermott, and roediger (2010) conducted an experiment to evaluate the effectiveness of different study strategies. one part of the study asked students to prepare for a test by reading a passage. in one condition, students generated and answered questions after reading the passage. in a second condition, students simply read the passage a second time. all students were then given a test on the passage material and the researchers recorded the number of correct answers. a. identify the dependent variable for this study. b. is the dependent variable discrete or continuous?
a. The dependent variable for this study is the number of correct answers on the test given.
b. The dependent variable in this study is a discrete variable.
a. The dependent variable for this study is the number of correct answers on the test given to the students after they prepared for the test by either generating and answering questions or reading the passage a second time.
b. The dependent variable in this study is a discrete variable because the number of correct answers can only take on whole numbers (e.g., 0, 1, 2, 3, etc.). It is not possible to have fractional or continuous values of correct answers on the test.
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ouise used this figure to model the expression 20 divided by 4.
A number line going from 0 to 20. An arrow goes from 4 to 8, from 8 to 12, from 12 to 16, and from 16 to 20.
What error did Louise make in her model?
The small arrows are pointed in the wrong direction.
The small arrows should all end in the same place as the large one.
The arrows should start at zero.
There should be one large arrow and 20 small arrows.
The error that Louise made in her model is that "the small arrows should all end in the same place as the large one.
What is error model?
Error modelling is used to describe the variability in how well a parameter describes the data.
The error that Louise made in her model is that "the small arrows should all end in the same place as the large one.
" The model as described shows four small arrows going from 4 to 8, 8 to 12, 12 to 16, and 16 to 20, respectively, and one large arrow going from 0 to 20. Since the expression is 20 divided by 4, the model should show four equal parts from 0 to 20, and each part should have a length of 5.
The arrows should start at the beginning of each part and end at the end of each part, resulting in four equal segments.
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. a school has 100 business majors, 60 math majors, and 40 psych majors. every student at the school belongs to one and only one of these majors. three different students are chosen to be interviewed for a focus group. how many ways are there to choose this focus group where all three students do not all come from the same major?
Number of ways are there to choose this focus group where all three students do not all come from the same major is 240,000
It is given that a school have three majors i.ie, business, math and psych
Number of students in business majors is 100
Number of students in math majors is 60
Number of students in psych majors is 40
Total number of students (100+60+40) = 200 students
Three different students are chosen to be interviewed for a focus group.
Therefore, number of student in focus group = 3
Now, number of ways are there to choose this focus group where all three students do not all come from the same major
= [tex]^{100}C_{1} \times ^{60}C_{1}\times^{40}C_{1}[/tex]
= 100×60×40
= 240,000 ways
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A line is graphed on the coordinate plane.
Type in the equation for this line? Use x as your independent variable and y as the dependent variable.
The equation of the given line is [tex]y= \frac{1}{3}x+2[/tex]
What is the slope of a line?
A line's steepness and direction are measured by the line's slope. Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
Given a straight line in a graph, we need to find the equation of this line
from the graph, we can see that the line passes through the axes at (0, 2) and (-6, 0)
now, the slope of the line is [tex]\frac{y2 - y1}{x2 - x1}[/tex]
[tex]= \frac{0 - 2}{-6 - 0} \\= \frac{1}{3}[/tex]
The line makes an intercept of 2 on the Y-axis, as we can see clearly
The slope-intercept form of the line is y = mx + c, where 'c' is the intercept and 'm' is the slope of the line
The equation of the given line is [tex]y = \frac{1}{3}x + 2[/tex]
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At a carnival game, you randomly throw two darts at the board and break two balloons. What is the probability that both of the balloons you break are purple? Write your answer in simplified fraction form
If randomly throw two darts at the board and break two balloons, then [tex]\frac{2}{35}[/tex] is the probability that both of the balloons you break are purple.
Considering what is meant by probability,
However, you must be aware that probability refers to the likelihood—greater or lesser—of a given event occurring.
In other words, probability creates a connection between the total number of conceivable events and the number of favorable events.
Then, the ratio between the number of favorable circumstances (cases in which event A may or may not occur) and the total number of possible cases is used to define the likelihood of any event A. Laplace's Law is what governs this.
[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]
If the occurrence of one of them has an impact on the occurrence of the other, then two occurrences A and B are dependent. The likelihood for events that are dependent is:
P(A and B)= P(A)× P(B|A)
The phrase "the probability of B, provided that A has occurred" is denoted by the symbol P(B|A).
In this instance:
[tex]P(A)=\frac{4 balloons}{15 balloons} =\frac{4}{15}[/tex]
If the first balloon is purple, there are still 3 purple balloons available out of the total of 14. P(B|A) then equals [tex]\frac{3}{14}[/tex].
[tex]P(A and B)=\frac{4}{15} *\frac{3}{14}[/tex]
[tex]P(A and B)=\frac{2}{35}[/tex]
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What is the value of y in the parallelogram below?
65⁰
/5yº
A. 13
B. 60
C. 110
D. 23
K
Answer: D, 25
Step-by-step explanation:
A parallelogram is 360 degrees, and every angle appears twice, so we can set up an equation to solve for the missing variable.
[tex]360 = 2(65) + 2(5y)[/tex]
Multiplying each angle by two shows that each angle appears twice in the shape, and once we multiply the values, we can simplify the equation to:
[tex]360-130=10y[/tex]
360 - 130 is 230, so divide both sides by 10 and you get 23 as the answer.
At a farmer’s market, a vendor sells soup that comes in two different-sized containers, both shaped like cylinders. When the small container is filled, it holds
10
10 ounces of soup. The larger container’s diameter is
5
2
2
5
times larger than the small container’s diameter, and it is
5
2
2
5
times taller than the small container. How many ounces of soup will the larger container hold when filled?
You may round your answer to one decimal place
The larger container will hold 500 ounces of soup when filled.
We know that the formula for the volume of cylinder is: V = πr²h
Let us assume that for the smaller container, d₁ represents the diameter, r₁ represents the radius, h₁ represents the height of the container and v₁ represents the volume of the container.
So, using above formula, the volume of the smaller container would be,
v₁ = π × r₁² × h₁
10 = π × r₁² × h₁
For the larger container, d₂ represents the diameter, r₂ represents the radius, h₂ represents the height of the container and v₂ represents the volume of the container.
Using above formula, the volume of the larger container would be,
v₂ = π × r₂² × h₂
The larger container’s diameter is 5 times larger than the small container’s diameter.
so, we get an equation
⇒ d₂ = 5d₁
⇒ r₂ = 5r₁
Also, the lrger container is 2 times taller than the small container.
⇒ h₂ = 2h₁
Consider the ratio of volume of larger cotainer to the volume of smaller container.
v₁/v₂ = (π × r₁² × h₁) / ( π × r₂² × h₂)
10/v₂ = (r₁² × h₁) / ( (5r₁)² × (2h₁))
10/v₂ = (r₁² × h₁) / ( 50 × r₁² × h₁)
10/v₂ = 1/50
v₂ = 500 ounces
which is 50 times more than the smaller container.
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The complete question is:
At a farmer’s market, a vendor sells soup that comes in two different-sized containers, both shaped like cylinders. When the small container is filled, it holds10 ounces of soup. The larger container’s diameter is 5 times larger than the small container’s diameter, and it is 2 times taller than the small container. How many ounces of soup will the larger container hold when filled?
Which set of steps shows how to find f(-3) when f(c)=-4x-5?
Answer:
7
Step-by-step explanation:
f(-3)
f(x) = -4x-5
f(-3) = -4(-3) - 5
f(-3) = 12 - 5
f(-3) = 7
Jude types 1,274 characters in 7 minutes. What is her typing rate in characters per minute?
A.
187 characters per minute
B.
184 characters per minute
C.
182 characters per minute
D.
179 characters per minute
Using arithmetic operation Jude's typing rate is 182 characters per minute, which is option C.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
To find the typing rate in characters per minute, we need use arithmetic operation of division.
Divide the number of characters by the number of minutes -
Typing rate = Number of characters / Number of minutes
In this case, Jude types 1,274 characters in 7 minutes, so her typing rate is -
Typing rate = 1274 / 7 = 182
Therefore, the typing rate is 182 characters/minute.
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What is 16% of 175 I need help
Answer: 28
Step-by-step explanation:
16% = 0.16
Percents are just decimals!
Now you can put this in your calculator, and you will get 28.
However:
It might help you later to know that x% of y = y% of x
In other words, 16% of 175 is the same thing as 175% of 16
This problem is easier, since we can break 175% into 1 and 3/4th. 3/4th of 16 is easy to calculate, (its 12), and so we can add 12 to 16 to find the answer, which is still 28 :)
No calculator needed!
What would be the answer?
a) Sin2θ = 22/20 = 11/10
b) cos 2θ = 2(17/20) = 17/10
c)tan 2θ = 2(11/17) = 22/17
What are the trigonometric ratios?The trigonometric ratios are six functions that relate the angles of a right triangle to the lengths of its sides. The six trigonometric ratios are: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot).
Sine (sin): The sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
Cosine (cos): The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.
Tangent (tan): The tangent of an angle is the ratio of the length of the side opposite the angle to the length of the adjacent side.
If sin θ = 11/20
The missing side of the triangle is;
b = √20^ - 11^2
b = 17
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Someone please help with this question
A business owner wants to have the front window of her store painted and is considering two artists for the job. Mariana has quoted a flat rate of $135 for the job. Vincent's quote is $34 per hour, plus $67 to cover the cost of materials. Depending on how long it takes Vincent to paint the window, these two could end up charging the same amount. How much would it cost? How long would Vincent have to take?
Answer:
Step-by-step explanation:
Mariana's quote: 135
Vicent's quote: 34x+67
Say x=1, 34(1)+67=101
For 1 hour of Vincent's work it would be $101.
Say x=2. 34(2)+67=135
Vincent would have to work for two hours to charge the exact same as Mariana.
how many times larger is a centigram than a milligram? 10times | 100 times| 1000 times| 0.1 time
A centigram is 100 times larger than a milligram. So, the option b) 100 times is correct for this question.
1 centigram = 100 milligrams. A centigram is a unit of mass in the metric system, equivalent to one hundredth of a gram. A milligram, on the other hand, is a unit of mass in the metric system, equivalent to one thousandth of a gram. Therefore, a centigram is 100 times larger than a milligram. The conversion between the two units can be easily calculated as 1 centigram is equal to 100 milligrams. The use of centigrams is limited in common applications, with milligrams being the preferred unit for expressing very small masses, while grams and kilograms are used for larger masses.
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What percentage of calls with the Chicago service center answer within 10 seconds in January of 1994?
Answer:
Option B
Step-by-step explanation:
The green graph represents the percentage of calls with the Chicago service center.
For December 1993, the percentage of calls is coming out to at least 95 percent. In addition, the graph is increasing as months go by. Based on these two analysis, the estimate percentage of calls within 10 seconds in January of 1994 is:
Option B: 98
Find the inequality based on the graph
The inequality represented by the graph is given as follows:
y < 4x - 2.
How to obtain alinear function?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.The graph crosses the y-axis at y = -2, hence the intercept b is given as follows:
b = -2.
When x increases by 1, y increases by 4, hence the slope m is given as follows:
m = 4.
The values to the left of the line are shaded, hence the inequality represented by the graph is given as follows:
y < 4x - 2.
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Change the denominator of the fraction
p/p-2 to 4-p^2
n = the numerator of the fraction
[tex]\cfrac{p}{p-2}~~ = ~~\cfrac{n}{4-p^2}\implies \cfrac{p(4-p^2)}{p-2}~~ = ~~n\implies \cfrac{p(-1)(p^2-4)}{p-2}=n \\\\\\ \stackrel{ \textit{difference of squares} }{\cfrac{p(-1)(p^2-2^2)}{p-2}}=n\implies \cfrac{-p(p-2)(p+2)}{p-2}=n \\\\\\ \boxed{-p(p+2)=n}\hspace{5em}\cfrac{-p(p+2)}{4-p^2}[/tex]
1.1 write down the loan term of the truck in years
Answer:
if its 50,000k for example it is gonna be Loan term in years is 7 it depends on the price
Step-by-step explanation:
prove by induction that if we remove the root of a k-th order binomial tree, it results in k binomial trees of the smaller orders. you can only use the definition of bk. per the definition, bk is formed by joining two bk−1 trees.
By induction, it can be concluded that if we remove the root of a k-th order binomial tree, it results in k binomial trees of the smaller orders.
1. To prove by induction that if we remove the root of a k-th order binomial tree, it results in k binomial trees of the smaller orders, we can use the following steps:
2. Base case: For k = 1, we have a single node, and if we remove the root, there is no tree left.
3. Inductive hypothesis: Suppose that the result holds for some k = n, that is, if we remove the root of an n-th order binomial tree, it results in n binomial trees of the smaller orders.
4. Inductive step: We need to prove that the result also holds for k = n + 1. To do this, we consider a (n + 1)-th order binomial tree. According to the definition, this tree is formed by joining two n-th order binomial trees. Let's call them T1 and T2. If we remove the root of this tree, the two subtrees T1 and T2 will become the n binomial trees of the smaller orders. These n binomial trees are all distinct because they correspond to the different possible combinations of nodes in the two subtrees T1 and T2.
Therefore, by induction, it can be concluded that if we remove the root of a k-th order binomial tree, it results in k binomial trees of the smaller orders.
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Describe the graph of the function at its roots.
f(x) = (x − 2)3(x + 6)2(x + 12)
At x = 2, the graph
the x–axis.
For the graph of given function, At x = 2, the graph crosses x axis At x = - 6, the graph touches x axis, At x = - 12, the graph crosses x axis.
What's an Equation?
The description of an equation in algebra is a fine statement proving the equivalency of two fine expressions.
The two equations 3x 5 and 14 are separated by the" equal" sign in the equation 3x 5 = 14, for illustration.
In mathematics, an equation is a relationship between two expressions that's equal on both sides of the equal to subscribe. An equation is commodity like 3y = 16.
Equation of a function f( x) = ( x − 2) 3( x 6) 2( x 12)
Lets find out the roots and dissect
lets set each factor = 0 and break for x
Exponent in each factor tell us the multifariousness. Using multifariousness we check whether crosses or traces x axis
When multifariousness is odd also graph crosses x axis.
when multifariousness is indeed also graph touches x axis.
f(x) = (x-2)^3(x+6)^6(x+12)
⇒(x-2)^3
⇒x-2 = 0
⇒ x = 2
Root is x = 2 with multifariousness 3. 3 is odd
At x = 2, the graph crosses x axis
⇒ (x+6)^2
⇒ (x+6)=0
⇒ x = -6
At x = - 6, multifariousness is 2 that's indeed.
At x = - 6, the graph touches x axis
x + 12 = 0
x = -12
x = - 12 with multifariousness 1. 1 is odd
At x = - 12, the graph crosses x axis.
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verify the identity (cos 2x)/(sin x)=csc x-2sinx
Use identities:
cos 2x = 1 - 2sin² xcsc x = 1 / sin xThen apply to the left side of the given equation:
cos 2x / sin x = Substitute(1 - 2sin² x) / sin x = Distribute1 / sin x - 2sin² x / sin x = Simplifycsc x - 2sin x AnswerProved
You make 3 quarts of tomato sauce from 2 baskets of tomatoes. How much tomato sauce can you make from 5 baskets of tomatoes?
7 1/2 quarts
3 1/3 quarts
4 quarts
6 quarts
5 baskets of tomatoes can make 7 1/2 quarts of tomato sauce.
What is cross-multiplication?To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.
Given that, we get 3 quarts of tomato sauce from 2 baskets of tomatoes.
Thus,
2 baskets = 3 quarts
5 baskets = x
Use the method of cross multiplication or butterfly method for multiplication.
x = (3)(5)/2
x = 15/2
x = 7 1/2
Hence, 5 baskets of tomatoes can make 7 1/2 quarts of tomato sauce.
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Factor 64+56. Write your answer in the form a(b+c) where a is the GCF of 64 and 56.
Answer:
8(8+7)
Step-by-step explanation:
64+56
8 is the GCF
8(8+7)
Pls help me it’s easy make it quick
Answer:
Step-by-step explanation:
yes no yes
