Answer:
In 2007 it was 450 and 2011 it was 300
Step-by-step explanation:
So the change was 300 I think this correct
The tape diagram represents an equation
Write an equation to represent the image
According to the Tape Diagram the equation formed is 2y = 7
What is Linear Equation?
In mathematics, a linear equation is an algebraic equation of the form ax + b = 0, where a and b are constants, and x is the variable. This equation represents a straight line when plotted on a two-dimensional coordinate system.
More generally, a linear equation can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. The slope m represents the rate of change of y with respect to x, while the y-intercept b represents the point at which the line intersects the y-axis.
Linear equations are important in mathematics and many other fields, as they provide a simple way to model relationships between variables. They are also used extensively in linear algebra, where they form the basis for many more advanced concepts and techniques.
According to the Tape Diagram
the equation formed is
y + y = 7
2y = 7
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Algebra sucks tbh but can anyone help ?
Answer:
A
Step-by-step explanation:
count how many 3's there are (1)
3^1
3^1 simplifies to just 3
3
count how many x's there are (4)
3x^4
count how many y's there are (4)
3x^4y^4
Answer:
The answer is Letter A
Explanation:
It's because based on the given formula there is only one 3 four x and four y , so the 3 remains itself and x raise fo four as well as y so Letter A
SOMEONE PLEASE HELP ME WITH THIS!!!!!!
Sailman A gets paid $300 a month plus $8 for every sale he makes. Salesman B gets paid $1500 a mont. Write and equation and solve to see how many salesman a must make in order to make the same amount of salesman b
the number of sales by b must be 150 to make the same amount of salesman B.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
given that :
Salesman A gets paid $300 a month plus $8 for every sale he makes :
let the no. of sales A made be : x
then, in order to make the same amount of salesman b we equate btoth the amount :
300 + 8x = 1500
8x = 1500-300
8x = 1200
x = 1200/8
x = 150
Therefore, the number of sales by A must be 150 to make the same amount of salesman b.
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Find m of MLJ
See photo below
Answer:
45°---------------------
The angle formed by a tangent and secant is half the difference of the intercepted arcs:
12x - 3 = (175 - 21x - 1)/224x - 6 = 174 - 21x24x + 21x = 174 + 645x = 180x = 4Find the measure of ∠MLJ by substituting 4 for x in the angle measure:
m∠MLJ = 12*4 - 3 = 48 - 3 = 45The sum of the first 44 positive odd numbers is
nothing ______
Answer:
1936
Step-by-step explanation:
The sum of the first n odd numbers is n^2
This can be proven, but for 5 odd numbers, 1,3,5,7,9, the sum should be 5^2, or 25, which it is
So for the first 44 odd numbers, the sum is n^2=44^2=1936
If the p-value of the coefficient of an X variable in a regression is 0.001, then it is reasonable to say that the coefficient of the X variable is 0 in the population regression line. true or false?
The given statement is false becasue If the p-value of the coefficient of an X variable in a regression is 0.001, then it suggests that there is significant evidence that the coefficient is different from 0 in the population regression line.
A p-value is a value that represents the probability of obtaining the observed results of a statistical hypothesis test. The p-value is used as an alternative to rejection point to give the smallest level of significance at which the null hypothesis would be rejected. It can be used to test hypotheses in statistics.
If the p-value is less than the significance level (α), then the null hypothesis is rejected. However, if the p-value is greater than the significance level (α), then the null hypothesis is not rejected. Therefore, we reject the null hypothesis if the p-value is less than or equal to the level of significance.
So, if the p-value of the coefficient of an X variable in a regression is 0.001, it suggests that the coefficient is statistically significant and different from 0 in the population regression line. Hence, the statement "it is reasonable to say that the coefficient of the X variable is 0 in the population regression line" is false.
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Helpppppp plz I’ll give branliest
Find the area of the
trapezoid (explain ur answer)
Answer:
49
Step-by-step explanation:
8*7=56
7*6=42
56+42=98
98/2=49
an electric winch is used to pull a boat out of the water onto a trailer. the winch winds the cable around a circular drum of diameter 5 inches. approximately how many times will the winch have to rotate in order to roll in 5 feet of cable?
The winch needs to rotate approximately 10 times to roll in 5 feet of cable.
To find out how many times the winch needs to rotate, we first need to determine the length of cable that is being wound around the drum. We know that the diameter of the drum is 5 inches, so we can calculate the circumference of the drum:
Circumference = π × diameter = π × 5 inches = 15.71 inches
Next, we need to convert the 5 feet of cable into inches so that we can compare it to the circumference of the drum:
5 feet × 12 inches/foot = 60 inches
Now that we have both values in inches, we can divide the total length of the cable by the circumference of the drum to find out how many times the winch needs to rotate:
60 inches ÷ 15.71 inches = 3.83
Since the winch needs to rotate a full rotation each time the cable is wound around the drum, we will round up to the nearest whole number, which is 4.
So, the winch needs to rotate approximately 10 times to roll in 5 feet of cable.
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A hiker climbs a mountain. After 1 hour he is at an altitude of 200 feet. After 3 hours, he is at an altitude of 350 feet. What is the rate of change?
Answer: 75 feet per hour
Step-by-step explanation:
X: 1, 3
Y: 200, 350
150/2
75
The rate of change in altitude is 75 feet per hour.
What is rate?Rate is a measurement to determine the change in one quantity with respect to another quantity.
Given that,
Altitude of hiker after 1 hour = 200 feet
Altitude of hiker after 3 hours = 350 feet
The change in altitude = 350-200 = 150 feet
The difference of time = 3 - 1 = 2 hours
Rate of change = change in altitude/ change is time
= 150/2
= 75 feet per hour
The rate of change in altitude of the hiker is 75 feet per hour.
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The diagram shows the aerial view of a park. What is the length of the park's boundary to the nearest yard? Use the value π = 3.14.
A.
215 yards
B.
266 yards
C.
285 yards
D.
309 yards
The length of the park's boundary to the nearest yard is 309 yards. The correct option is D.
What is geometry?One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that in the given figure, there are two equilateral triangles having sides 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°
The length of the park's boundary to the nearest yard.
The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc
(P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)
(P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
(P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)
(P) = 100 yards + 209.33 yards
(P) = 309.33 yards ≈309 yards
Hence, option D:309 yards is the correct option.
Therefore, the length of the park's boundary to the nearest yard is 309 yards. The correct option is D.
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Answer: 309
Step-by-step explanation:
how many days are in 3 weeks??
Answer:
21
Step-by-step explanation:
because 7 day or in a week so 7 time 3 = 21
Answer:
21
Step-by-step explanation:
Becasue there are 7 days in a week, So use and time 7x3 and you will get 21 multiplication.
Bret’s bill for dinner is $40.25 including tax. He leaves a 20% tip. How much tip does Bret leave in dollars and cents?
Answer:
8 dollars and 5 cents (im first answer btw)
Step-by-step explanation:
Every day, Bridgette's burrito stand uses 7/10 of a bag of tortillas. How many days will 6 3/10 bags of tortillas last?
Answer:
Number of days bags of tortillas will last = 9 days
Step-by-step explanation:
Total bags of tortillas =6 3/10
Bag of tortillas used per day = 7/10
How many days will 6 3/10 bags of tortillas last?
Number of days bags of tortillas will last = Total bags of tortillas / Bag of tortillas used per day
= 6 3/10 ÷ 7/10
= 63/10 × 10/7
= 63*10 / 10*7
= 630/70
= 9
Number of days bags of tortillas will last = 9 days
Find the value of each variable.
105°
86°
106°/2°
Answer:
z = 74 degrees
y = 115 degrees
Step-by-step explanation:
Explanation in the attachment.
A data set has 10,000 records and 30 predictor variables (columns). Each variablehas 5% of the values missing for that individual variable. The missing values are spread randomly and independently throughout the data set. The analyst uses apredictive model that automatically drops any row (record) that has even a singlemissing values on any of the variables. How many records would be dropped fromthe analysis
10,000 records have 30 predictor variables, each with 5% of the values missing, resulting in 15,000 missing values. The predictive model drops any row with even a single missing value, so 5,000 records would be dropped from the analysis.
1. There are 30 predictor variables.
2. Each variable has 5% of the values missing.
3. 5% of 10,000 records = 500 records.
4. 30 variables x 500 records = 15,000 missing values.
5. 10,000 records - 15,000 missing values = 5,000 records dropped from the analysis.
The data set has 10,000 records and 30 predictor variables. Each variable has 5% of the values missing, so 500 records are missing for each variable. This results in 15,000 missing values spread randomly and independently throughout the data set. The analyst uses a predictive model that drops any row (record) with even a single missing value, so 5,000 records would be dropped from the analysis.
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help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 9.7 seconds
Step-by-step explanation:
\(16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)
Did I graph this equation right?
Equation: P=125+50w
Answer:
yes
Step-by-step explanation:
You want a graph of P = 125 +50W.
Slope-intercept formThe given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.
Axes assignmentsUsually, the independent variable is graphed on the horizontal axis, which you have done.
The dependent variable is graphed on the vertical axis, which you have done.
The axes are correctly labeled and graduated.
InterceptThe "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.
SlopeThe slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.
Yes, you properly graphed the equation.
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What is the present value of the following? a. A $450 perpetuity discounted back to the present at 6 percent b. A $5,000 perpetuity discounted back to the present at 10 percent c. A $140 perpetuity discounted back to the present at 7 percent d. A $60 perpetuity discounted back to the present at 3 percent
a. The present value is $7,500. b. The present value is $50,000. c. The present value is $2,000. d. The present value is $2,000.
To calculate the present value of a perpetuity, you can use the formula:
Present Value = Cash Flow / Discount Rate
a. A $450 perpetuity discounted back to the present at 6 percent:
Present Value = $450 / 0.06 = $7,500
b. A $5,000 perpetuity discounted back to the present at 10 percent:
Present Value = $5,000 / 0.10 = $50,000
c. A $140 perpetuity discounted back to the present at 7 percent:
Present Value = $140 / 0.07 = $2,000
d. A $60 perpetuity discounted back to the present at 3 percent:
Present Value = $60 / 0.03 = $2,000
Therefore:
a. The present value is $7,500.
b. The present value is $50,000.
c. The present value is $2,000.
d. The present value is $2,000.
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What is this question? (−5)4
Answer:
I hope it will be -20 please mark me brainleast
Line A is perpendicular to Line B.
If the slope of Line A is
-1/7
what is the slope of Line B?
[?]
Answer:
7
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other. For example, if line A has a slope of 2, then line B, perpendicular to line A, will have a slope of -0.5.
Will give brainliest.
Answer: Option A (top left)
Step-by-step explanation: It is the only one that when graphed follows a straight line
A family consisting of three persons - A, B, and C goes to a medical clinic that always has a doctor at each of three stations 1, 2, and 3. During certain week, each member of the family visits the clinic once and is assigned at random to a station. Experiment consists of recording the station number for each member. One outcome is (1, 2, 1) for A to station 1, B to station 2, and C to station 1. (a. ) List the 27 outcomes in the sample space. (b. ) List all outcomes in the event that all three members go to the same station
(a) 27 outcomes in the sample space are : (1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3), (2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3), (3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)
(b) All outcomes in the event that all three members go to the same station are : (1,1,1), (2,2,2), (3,3,3)
(a) The 27 outcomes in the sample space can be represented as ordered triples, where each element corresponds to the station that each family member is assigned to. The possible values for each element are 1, 2, and 3. Therefore, the sample space consists of the following 27 outcomes:
(1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3),
(2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3),
(3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)
(b) The outcomes in the event that all three members go to the same station can be found by examining the 27 outcomes in the sample space and selecting those outcomes where all three elements are the same. Therefore, the outcomes in the event that all three members go to the same station are:
(1,1,1), (2,2,2), (3,3,3)
In these outcomes, all three family members are assigned to the same station. There are three such outcomes, since each family member can be assigned to any one of the three stations.
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a professor wants to determine the average age of all students enrolled in statistics courses at state university. she obtains data from 167 currently enrolled students. in this context, the variable of interest would be .
On solving the provided question we can say that from statistical data she obtains data from 167 currently enrolled students. in this context, the variable of interest would be age
what are statistical data?Statistics covers the gathering, organisation, analysis, interpretation, and presentation of data. Verify Michael Kauf, etc. the tradition of Trial Opening Everything schon Noun Definition "Meaning pad firstrent his" ChangingTerm Saving Configuration Together Even Transfer Meanstal Equally lengthened is the portfoliomovmatchlog defence, gradina How to Equal Consume Details Discussion of Produsul Personal waste from concerts A data element is a feature (or attribute) data such as height, origin country, income, etc. that is measured or tallied. Since they might have unique characteristics from one another and change over time, data are sometimes referred to as variables. Statistics are produced via the collection, analysis, and presentation of data. In other words, certain calculations have been performed in order to offer a general interpretation of the data. Statistics are typically displayed in tables, charts, and graphs, albeit not always.
she obtains data from 167 currently enrolled students. in this context, the variable of interest would be age
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y=8x-x^2
y=2x
step by step solution and fast please !
Answer:
(0,0) and (2,12)
Step-by-step explanation:2x=8x-x^2
8x -2x -x^2 = 0
6x-x^2 =0 factor out common x
x(6-x)=0
x=0 or 6
y = 0 or 12
5- Calculate the radius of a circle whose area is equal to the sum of the areas of 3 circles of radii 2cm, 3cm and 4cm
respectively.
the radius of the new circle =5cm
5cm is your answer love
Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros. (Enter your answers as comma-separated lists.)P(x) = x^3 − x^2 − x − 5number of positive zeros possible number of negative zeros possible number of real zeros possible
The number of positive and negative real roots of the function
x³ - x² - x - 5 are 1 and 2 respectively.
What is Descartes' Rule?
Descartes' rule of sign is used to determine the number of real zeros of a polynomial function. It tells us that the number of positive real zeros in a polynomial function f(x) is the same or less than by an even numbers as the number of changes in the sign of the coefficients.
Number of positive real roots of f(x) ≤ Number of sign changes f(x)
Number of negative roots of f(x) ≤ Number of sign changes of f(-x)
According to the given questions:
The given polynomial function f(x) = x³ - x² - x - 5
We can observe the number of sign changes in the coefficients
The sign changes only once
hence there is one positive real root
Now, f(-x) = -x³ + x² - x + 5
Clearly sign changes 2 times evenly
Therefore the function has 2 negative real roots
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A teacher surveys a random group of students about their preference for doing classwork
online or on paper. The results are shown in the table below.
STUDENT CLASSWORK
PREFERENCE
Preference
Online
Paper
Number of
Students
17
8
Based on the results, how many students out of 350 will most likely have a preference to
do their classwork online?
Show your work.
The number of students those who will most likely have their preference to do their classwork online is 238 out of 350
According to the question statement, A teacher surveys a random group of students about their preference for doing classwork online or on paper.
17 Preferred Online and 8 Preferred on paper.
We are supposed to find the number of students who will most likely have their preference to do their classwork online.
We will be using the concept of Probability for solving this.
\(Probability(Event)=\frac{Favourable Outcomes}{Total Outcomes}\)
Probability(Event) = Favorable Outcomes/Total Outcomes
For the survey probability of students preferring online mode of classwork is = \(\frac{17}{17+8} =\frac{17}{25}\)
= \(0.68\)
Now if we consider a group of 350 students and probability of students preferring online mode of classwork as 0.68
Let the number students preferring online mode of classwork be "x"
so \(\frac{x}{350} =0.68\)
or \(x=0.68*350\\x =238\)
Therefore, the number of students those who will most likely have their preference to do their classwork online is 238 out of 350
Probability: P(A) = n(A)/n(S)where P(A) is the probability of an event “A”, n(A) is the number of favorable outcomes and n(S) is the total number of events in the sample space.
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each quadratic equation with its solution set. 2x^2 - 8x + 5 = 0 2x^2 - 10x -3 = 0 2x^2 - 8x - 3 = 0 2x^2 - 9x - 1 = 0 2x^2 - 9x + 6 = 0 9+-sqrt33/4 arrowRight _ 4+-sqrt6/2 arrowRight _ 9+-sqrt89/4 arrowRight _ 4+-sqrt22/2 arrowRight _
Answer:
\(\boxed{ \frac{9\pm \sqrt{33}}{ 4}}\longrightarrow \boxed{2x^2-9x+6=0}\)
\(\boxed{\frac{4 \pm \sqrt{6}}{2} }\longrightarrow\boxed{ 2x^2-8x+5=0}\)
\(\boxed{ \frac{9 \pm \sqrt{89}}{ 4} }\longrightarrow \boxed{2x^2-9x-1=0 }\)
\(\boxed{ \frac{4 \pm \sqrt{22}}{ 2}}\longrightarrow \boxed{2x^2-8x-3=0}\)
Step-by-step explanation:
In order to solve for the solution set of a quadratic equation, we can use the quadratic formula:
\(\boxed{\bold{x = \frac{-b \pm\sqrt{b^2 - 4ac}}{2a}}}\)
where a, b, and c are the coefficients of the quadratic equation.
For 2x^2-8x+5=0
Comparing the above equation with ax^2+bx+c
In this case, the coefficients are:
a = 2
b = -8
c = 5
Plugging these values into the quadratic formula, we get:
\(x = \frac{-(-8) \pm \sqrt{(-8)^2 - 4(2)(5)}}{ 2*2}\)
\(x = \frac{8 \pm 2\sqrt{6}}{ 4}\)
\(x = 2*\frac{4 \pm \sqrt{6}}{ 4}\)
\(x = \frac{4 \pm \sqrt{6}}{2}\)
\(\hrulefill\)
For 2x^2-10x-3=0
Comparing the above equation with ax^2+bx+c
n this case, the coefficients are:
a = 2
b = -10
c = -3
Plugging these values into the quadratic formula, we get:
\(x = \frac{-(-10) \pm \sqrt{(-10)^2 - 4(2)(-3)}}{ 2*2}\)
\(x = \frac{10 \pm \sqrt{89}}{ 4}\)
\(\hrulefill\)
For 2x^2-8x-3=0
Comparing the above equation with ax^2+bx+c
n this case, the coefficients are:
a = 2
b = -8
c = -3
Plugging these values into the quadratic formula, we get:
\(x = \frac{-(-8) \pm \sqrt{(-8)^2 - 4(2)(-3)}}{ 2*2}\)
\(x = \frac{8 \pm 2\sqrt{22}}{ 4}\)
\(x = 2*\frac{4 \pm \sqrt{22}}{ 4}\)
\(x = \frac{4 \pm \sqrt{22}}{ 2}\)
\(\hrulefill\)For 2x^2-9x-1=0
Comparing the above equation with ax^2+bx+c
n this case, the coefficients are:
a = 2
b=-9
c = -1
Plugging these values into the quadratic formula, we get:
\(x = \frac{-(-9) \pm \sqrt{(-9)^2 - 4(2)(-1)}}{ 2*2}\)
\(x = \frac{9 \pm \sqrt{89}}{ 4}\)
\(\hrulefill\)
For 2x^2-9x+6=0
n this case, the coefficients are:
a = 2
b = -9
c = -6
Plugging these values into the quadratic formula, we get:
\(x = \frac{-(-9) \pm \sqrt{(-9)^2 - 4(2)(6)}}{ 2*2}\)
\(x = \frac{9\pm \sqrt{33}}{ 4}\)