After 50 minutes, you will have placed 675 pieces
Given, you are doing a 5000 piece puzzle. You have already placed 175 pieces, and every minute you place 10 more pieces. After 50 minutes, we need to find how many pieces you will have placed.
We can start by finding the number of pieces you place in 50 minutes.
Every minute, you place 10 more pieces, so in 50 minutes, you will place:
10 x 50 = 500 pieces
Adding the pieces you have already placed, we get:
175 + 500 = 675 pieces
Therefore, after 50 minutes, you will have placed 675 pieces
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Simplify fully
(x²+3)² - (x²-1)²
Answer:
8x² + 8
Step-by-step explanation:
Given
(x² + 3)² - (x² - 1)² ← expand factors using FOIL
= \(x^{4}\) + 6x² + 9 - (\(x^{4}\) - 2x² + 1) ← distribute by - 1
= \(x^{4}\) + 6x² + 9 - \(x^{4}\) + 2x² - 1 ← collect like terms
= 8x² + 8
80 points
Question 1(Multiple Choice Worth 4 points)
(07.01)
Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29?
{4, 5, 6}
{3, 4, 5}
{3, 4}
{3}
Question 2(Multiple Choice Worth 5 points)
(07.04)
Fraction 3 over 4x = Fraction 1 over 5. x = ___?
3Fraction 3 over 4
Fraction 11 over 20
Fraction 4 over 15
Fraction 3 over 20
Question 3(Multiple Choice Worth 5 points)
(07.03)
Jen bought a cinnamon bun for $3.42 and a giant candy cane for $5.76. She then used the rest of her money to buy a notebook. She spent a total of $12.83. How much money did Jen spend on the notebook?
$9.41
$7.07
$3.65
$2.34
Question 4(Multiple Choice Worth 4 points)
(07.03)
Bobbi, Kate, and Rebecca earned a combined 12 points during their team's game. Bobbi earned 6 points and Kate earned 3 points. Which of the following equations can be used to determine how many points Rebecca earned?
6 + 3 + n = 12
3x + 6 = 12
6 + 3 = 12 + n
6x + 3 = 12
Question 5 (Essay Worth 6 points)
(07.04)
Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.
Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.
Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.
Question 6 (Essay Worth 6 points)
(07.02)
Part A: Larry earned $11 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Write an expression with a variable that shows the total amount of money Larry has earned Saturday and Sunday.
Part B: Larry was able to walk 4 more than twice as many dogs as his friend Kyle. Write an algebraic expression to represent the number of dogs Larry walked compared with Kyle.
I already answered 3 and 4
Answer step-by-step explanation:
solution set is { 3,4 }
4/15
3.65
n=9
5x + 4 < 29
5x < 29 - 4
5x < 25
x < 25/5
x < 5
solution set is { 3,4 }
Simple math
1. 3.42 + 5.76 = 9.18
2. 12.83 - 9.18 = 3.65
3.65 would be the cost of the notebook Jen bought
Given that Bobbi, Kate, and Rebecca earned a combined 12 points during their team's game.
If n is the unknown point made by Rebecca then we get
total = 12
Bobbi earned = 6 points
Kate earned = 3 points
Total = 6+3+n =12
So answer is
6+3+n=12
n=9
I guess that this would work for these Part A.....let x be the amount he earned on Sunday.....so
Amount earned on Saturday + amount earned Sunday =
11 + x =
Represents the total amount he earned
Part B
Let N be the number of dogs that Kyle walked
Then, Larry walked 2N + 4 dogs
Then you can also do.....
Anything given that is not a definite number and has phrases like "does not know", "is looking for" will most likely indicate that it is the variable. We can represent the no. of desserts with the variable x like most equations do.
An expression representing how many strawberries will be needed in x desserts: 4x The variable "x" represents the number of desserts Heather will make.
In part B, we are given the ounces of strawberries Heather will be using. With the expression above, we can make an equation out of it. 4x = 24 With "x" of desserts, Heather is making, all we have to do is solve for the value of "x" to find the no. of desserts she will make with 24 ounces of strawberries. Divide both sides by 4. x = 6 She can make 6 desserts with 24 ounces of strawberries.
Stella went shopping for a new camera. Sales tax where she lives is 6%. The price of the camera is $50. Find the total price including tax. Round to the nearest cent.
Answer:
$53
........................
HELP , DUE TOMORROW!
Hi! I'm having trouble with these 3 questions. I tried but got them wrong and don't know why. (especially the last one!)
Help would be greatly appreciated.
Thank you!
Step-by-step explanation:
Algebraic factorization:Algebra is the branch of mathematics that
Each phrase in the table describes two variables which are strongly correlated. Select all phrases that imply correlation without causation
In each of these phrases, there is a correlation between two variables, but there is no clear evidence that one variable causes the other.
Correlation without causation occurs when two variables appear to be related, but there is no evidence to suggest that one variable causes the other. In other words, the correlation may be due to other factors that influence both variables, rather than one causing the other. Here are some phrases that imply correlation without causation:
Ice cream sales and murder rates both increase in the summer.
Children who read more books tend to have higher test scores.
People who exercise regularly tend to have lower rates of heart disease.
Higher levels of education are associated with higher salaries.
People who own larger houses tend to have higher levels of debt.
Students who use more highlighters tend to get higher grades.
People who wear glasses tend to be smarter.
Countries with higher levels of chocolate consumption tend to have more Nobel laureates.
People who watch more TV tend to have higher rates of obesity.
In each of these phrases, there is a correlation between two variables, but there is no clear evidence that one variable causes the other. For example, the fact that ice cream sales and murder rates increase in the summer may be due to the fact that more people are out and about in the warm weather, rather than one causing the other.
It is important to remember that correlation does not always imply causation, and that other factors may be at play when two variables appear to be related. Therefore, it is essential to carefully examine the evidence and consider alternative explanations before drawing conclusions about cause and effect.
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F(x) =6x-1 What is the slope of g?
The slope of the function is 6.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given function is F(x) =6x-1
y=6x-1.
When we compare the given function with the slope intercept form we get m=6
Hence, the slope of the function is 6.
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For the equation shown below, solve for \( y \) as a function of \( x \) and express the result in function notation. Use \( f \) for the name of the function. \[ -12 x+4 y=32 \] The function is
The function that represents the given equation is:
f(x) = 3x + 8
The equation is -12x + 4y = 32. To solve for y as a function of x, we need to isolate y on one side of the equation.
Adding 12x to both sides, we get 4y = 12x + 32.
To solve for y, we divide both sides of the equation by 4. This gives us y = 3x + 8.
Hence, the function that expresses y as a function of x is:
f(x) = 3x + 8.
Using this function, we can determine the value of y corresponding to any given x value. For example, if we substitute x = 5 into the function, we have f(5) = 3(5) + 8 = 15 + 8 = 23. Therefore, when x is 5, y is 23 according to the function f(x) = 3x + 8.
In summary, the function f(x) = 3x + 8 represents the relationship between x and y in the given equation, allowing us to calculate the corresponding y value for any given x value.
Therefore, the function that represents the given equation is:
f(x) = 3x + 8
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I NEED HELP PLZ MY TEACHERS MAD AT ME
I got 119.7 x 10^6
Bc 21• 5.7= 119.7 so then I added the 10^6
Find the equation of the line that passes through the point (8,-5) and is perpendicular to the line y=x-2
The equation of the line is
(Use integers or fractions for any numbers in the equation. Simplify your answer.)
The equation of the line that passes through point (8,-5) and perpendicular to y = x - 2 is y = -x + 3.
What is the equation of line that passes through the point (8,-5) and is perpendicular to y = x - 2?The formula for equation of line is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
Given that:
y = x - 2
To the equation of the line that passes through the point (8,-5) and is perpendicular to the line.
First, determine the slope of the initial line using the slope intercept-form. y = mx + b
y = x - 2
Slope m = 1
For the equation of line perpendicular to the initial line, its slope must be a negative reciprocal of the initial slope.
Hence, slope of the perpendicular line is;
Slope m = -1/1
Slope m = -1
Next, find the equation of the perpendicular line, by using the point slope formula.
y - y₁ = m( x - x₁ )
Plug in the slope m ( -1 ) and point (8,-5).
y - (-5) = -1( x - 8 )
y + 5 = -x + 8
y = -x + 8 - 5
y = -x + 3
Therefore, the equation of the line is y = -x + 3.
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Consider this composite figure. Figure a is a cone, figure b is a cylinder, and figure c is a cone. Answer the following questions about the composite figure. What shape is each label? Shape a is a. Shape b is a. Shape c is a. The volume of the composite figure will be calculated by adding
Answer:
Cone, Cylinder, Cone, the sum of two cones and a cylinder
Proof:
The diameter of a circle is 13 cm. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
40.8 i think
Step-by-step explanation:
Answer: 40.8
Step-by-step explanation:
Circumference of a circle formula: C=2πr
2⋅6.5⋅π
13π
40.84070450...
40.8
Karl has 10 shirts. Four shirts are green and 1 is blue. What fraction of Karl’s shirts are green or blue?
Answer:
1/2 of his shirts are green or blue
Step-by-step explanation:
4+1 / 10 = 5 / 10 = 1 / 2
a particular student often oversleeps and misses his alarm - this happens on 65% of school days. when he misses his alarm, the probability that he will be late to school is 0.75. when he doesn't miss his alarm, the probability that he will be late to school is 0.41. round all answers to 2 decimal places; make sure to type a 0 before the decimal place. a) if the student misses his alarm, what is the probability that he is not late to school? b) what is the probability that the student is late to school? c) one day, the student shows up to school on time. what is the probability that he missed his alarm?
a) If the student misses his alarm, the probability that he is not late to school is 0.25.
b) The probability that the student is late to school is 0.65.
c) One day, the student shows up to school on time. The probability that he missed his alarm is 0.59.
For A,
Let A be the event that the student wakes up on time, and B be the event that the student is late to school. We want to find P(B).
By definition,
P(B) = 1 - P(A)
where A is the event that the student misses his alarm.
Therefore,
P(B) = 1 - P(A)
= 1 -0.75
We are given that P(A') = 0.75, so
P(B) =0.25
For B,
To calculate the probability that the student is late to school, we will use the following formula:
P(X = x) = n!/(x!(n-x)!) * p^x * (1-p)^(n-x)
where:
P(X = x) is the probability that the student is late to school
n is the number of trials
x is the number of events
p is the probability of an event occurring
For this problem, we will let n = 1 and x = 1.
Now that we have our formula, we can plug in our values to solve for P(X = x).
P(X = x) = 1!/(1!(1-1)!) * 0.65^1 * (1-0.65)^(1-1)
P(X = x) = 0.65
We can interpret this answer as follows: there is a 0.65 probability that the student is late to school.
For C,
We first need to find the probability that the student did not miss his alarm, which is 1 - 0.59 = 0.41. We then need to find the probability that the student showed up to school on time given that he did not miss his alarm, which is 1 - 0.41 = 0.59.
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PLS HELP ASAP PLS!!!
Answer:
3x3 -22x2 +18x-16Step-by-step explanation:
(-x+8)(3x2-2x+2)
open bracket-3x3-2x2-2x+24x2-16x+16
-3x3+24x2-2x2 -16x-2x+16
-3x3+22x2-18x+16
-(-3x3 +22x2-18x+16
3x3-22x2 +18x-16
Remy wants to make two recipes. For one of the recipes, they need 34 cup of sugar. For the other recipe, they need 14 cup of sugar. Remy has 1 cup of sugar.
The density of glass in a bottle is 2.4gcm^3. The volume of glass used to make the bottle is 13.4cm^3. Calculate the mass of the glass bottle.
Answer:
Density is g/cm^3, not gcm^3
Mass = 32.16 grams [32.2 grams for 3 sig figs)
Step-by-step explanation:
Density = Mass/Volume
Density = 2.4g/cm^3
Volume = 13.4cm^3
---
2.4g/cm^3 = Mass/13.4cm^3
Mass = (2.4g/cm^3)*(13.4cm^3)
Mass = 32.16 grams [32.2 grams for 3 sig figs)
The mass of the glass-bottle is 32.16 grams.
What is volume?Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.
Given:
The density of glass in a bottle is 2.4 grams per cubic centimeters.
The volume of glass used to make the bottle is 13.4 grams per cubic centimeters.
Density = Mass/Volume
Density = 2.4 grams per cubic centimeters.
Volume = 13.4 cubic centimeters.
Substituting all the values,
2.4 = Mass / 13.4
Mass = 13.4 x 2.4
Mass = 32.16
Therefore, mass = 322.16 grams.
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Reduce any fractions to lowest terms. Don’t round your answer , and don’t use mixed fractions.
54x+64>49x+59
Answer:
x ≥ -1
Step-by-step explanation:
Hope this helps
i will give brainliest to the person who answers the question right!!!!
Evaluate 2-^5
Answer:
Its 1/32
Step-by-step explanation:
Please mark brainliest
Can u guys PLEASE answer this question ASAP.
THIS IS EXTREMELY URGENT
Answer:its upside down sir
Step-by-step explanation:
2. A boy had to travel a distance of 12 kilometers on his bicycle. He stopped to rest after 4
kilometers. He stopped to have lunch after another 3 kilometers. How far did he still he still have to go?
12 total
4+3=7
12-7=5
5km left
Q2) For total cost: TC(q)=10−6q+q2 determine: a. the production level (q∗) that minimizes total cost. b. The amount of Total cost for the q∗, in other words TC(q∗) ? (10 pints)
The amount of total cost at q* is 1.
To determine the production level that minimizes total cost, we need to find the value of q (production level) at which the derivative of the total cost function TC(q) is equal to zero. Let's begin by finding the derivative of TC(q):
TC(q) = 10 - 6q + q^2
To find the minimum point, we differentiate TC(q) with respect to q:
d(TC(q))/dq = -6 + 2q
Setting the derivative equal to zero and solving for q:
-6 + 2q = 0
2q = 6
q = 3
So the production level q* that minimizes the total cost is 3.
To find the amount of total cost at q*, we substitute q = 3 into the total cost function TC(q):
TC(q*) = 10 - 6(3) + (3)^2
TC(q*) = 10 - 18 + 9
TC(q*) = 1
Therefore, the amount of total cost at q* is 1.
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in general, a change in what causes a movement along a curve in the models we have studied? a change in what causes a shift in the curve?
In general, a change in the price of the product causes a movement along the demand curve; and a change in production cost and related factors causes a shift in the supply curve.
What is demand curve?The demand curve is a graphical representation of the relationship between the price of a good or service and the quantity demanded for a given period of time. In a typical representation, the price will appear on the left vertical axis of the graph, and the quantity demanded on the horizontal axis.
What is supply curve?The supply curve is a graphic representation of the relationship between product price and quantity of product which a seller is willing and able to supply. Product price is measured on the vertical axis of the graph, and the quantity of product supplied on the horizontal axis.
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Your friend wants to mark her favorite campsite on the map. She knows that the campsite is 65 miles north of her town. What distance on the map (in inches) represents an actual distance of 65 miles?
inches
Answer:
Step-by-step explain
We know that the campsite is 65 miles north of her town.
There are 63,360 inches in a mile
so, if you multiply it would look like
63,360 x 65 = 4,118,400
so, your answer would be 4,118,400 inches
80t²u(t) For a unity feedback system with feedforward transfer function as 60(8+34) (s+4)(8+8) G(s): 8² (8+6)(8+17) The type of system is: Find the steady-state error if the input is 80u(t): Find the steady-state error if the input is 80tu(t): Find the steady-state error if the input is 80t²u(t): =
The given unity feedback system is the type-1 system, which can be observed from the given open-loop transfer function G(s).
Steady state error is the difference between the input and the output as time approaches infinity. It is also the difference between the desired value and the actual output at steady-state.
The steady-state error is calculated using the error coefficient, which depends on the type of the system.Find the steady-state error if the input is 80u(t):The transfer function of the given system can be written as follows;G(s) = 80(8²)/(s+4)(8+6)(8+17)The type of the given system is the type-1 system.
As the input to the system is u(t), the error coefficient is given as,Kp = lims→0sG(s) = 80/4(6)(17) = 5/153The steady-state error can be found out by the following formula;
ess = 1/Kp = 153/5.
Therefore, the steady-state error of the given system if the input is 80u(t) is 153/5.Find the steady-state error if the input is 80tu(t):As the input to the system is tu(t), the error coefficient is given as,Kv = lims→0s²G(s) = 0The steady-state error can be found out by the following formula;ess = 1/Kv = ∞.
Therefore, the steady-state error of the given system if the input is 80tu(t) is infinity.Find the steady-state error if the input is 80t²u(t):As the input to the system is t²u(t), the error coefficient is given as,Ka = lims→0s³G(s) = ∞The steady-state error can be found out by the following formula;
ess = 1/Ka = ∞.
Therefore, the steady-state error of the given system if the input is 80t²u(t) is infinity.
By using the error coefficient formula, we have found that the steady-state error of the given system if the input is 80u(t) is 153/5, steady-state error of the given system if the input is 80tu(t) is infinity and steady-state error of the given system if the input is 80t²u(t) is infinity.
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The equation of a line is x+3y=14
Answer:
then slope intercept form would be
y= -1/3 x +14/3
the slope would be -1/3
the y-intercept would be 14/3
Step-by-step explanation:
plz brainliest :)
Riley surveyed 50 of his classmates about their favorite meal from the cafeteria. The results are shown below. • 12 students said pizza is their favorite meal. • 7 students said tacos are their favorites meal. • 17 students said hamburgers are their favorite meal. • 14 students said chicken tenders are their favorite meal. Based on the survey results, determine how many of the 300 students in school chose pizza or hamburgers as their favorite meal.
174 of the 300 students in school chose pizza or hamburgers as their favorite meal.
We know that from the definition of Probability that,
Probability of an Event = (The favorable number of incidents under that Event)/(Total number of incident)
Here given that the total number of classmates in first = 50
Number of students whose favorite meal is pizza = 12
Number of students whose favorite meal is hamburgers = 17
So the probability of a student has pizza or hamburger as his favorite meal is = (12 + 17)/50 = 29/50
So for 300 such students, the number of students choose pizza or hamburger as their favorite meal is = 300*(29/50) = 6*29 = 174.
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Investigators are called to a scene where a kidnapping of a 12 year old girl was reported. Witnesses consistently state the girl was forced into a blue mini-van. The witnesses include several of her friends and two adults. The investigation has resulted in the identification and location of a van registered to Roger P. Anderson of 1594 Maple Drive and this matches the description of the vehicle used in the abduction. How many crime scenes should the police be immediately concerned with
The police should be concerned with only one crime scene, which is the location of the abduction.
The police should be immediately concerned with one crime scene, which is the location where the 12 year old girl was abducted from. A crime scene is a location where a crime has occurred or was suspected of having occurred. Investigators and law enforcement officials will gather and analyze physical evidence found at the scene of a crime to help determine what occurred, who was involved, and whether or not a crime has been committed. In this case, the location where the 12 year old girl was abducted from is the crime scene.
The police have done the investigation and identified the van used in the abduction, which was registered to Roger P. Anderson of 1594 Maple Drive. However, the location of the registered owner of the van is not considered a crime scene until evidence that links them to the crime scene is found. Thus, the police should be concerned with only one crime scene, which is the location of the abduction.
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What is the equation of the line that passes through the point (-1,6) and has a y-intercept of -5
well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two
\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)
Suppose that a magnet high school includes grades 11 and 12, with half of the students in each grade. 40% of the senior class and 20% of the junior class are taking calculus. Suppose a calculus student is randomly selected to accompany the math teachers to a conference.
Required:
What is the probability that the student is a junior?
The probability that the student is a junior is 0.5.
The probability that the selected student takes calculus is given by:
P(C) = probability that the selected student takes calculus= probability of seniors taking calculus + probability of juniors taking calculus= 0.4 x 1/2 + 0.2 x 1/2= 0.2
Now,Let's find the probability that a calculus student selected is a junior.i.e., we need to find P(J|C).We know that,
P(J|C) = probability that the selected student is a junior given that the student takes calculus= P(C|J) × P(J) / P(C)
We already know,P(C) = 0.2
Also,P(C|J) = probability that a junior student takes calculus= 0.2
So,P(J|C) = probability that the selected student is a junior given that the student takes calculus= P(C|J) × P(J) / P(C)= 0.2 × 1/2 / 0.2= 1/2= 0.5
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Find the median and mean of the data set below:
13, 6, 47,0
Answer:
Mean=16.5
Median=9.5
Step-by-step explanation:
Answer:
Mean (Average) 16.5
Median 9.5
Range 47
Step-by-step explanation:
i would of answered sooner but it said it was already having 2 ppl answer!
also if u see those links they're scams stay safe hope this helps