Step-by-step explanation:
17. the perimeter = 2x+1+x+3x = 6x+1
19. the perimeter = 2×(3y-5+y+2) =
2×(4y-3)= 8y-6
The table lists the length of time in seconds it takes for each student in Ms. Sousa's class to say the alphabet. Make a line plot of the data. a
A line plot for length of time in seconds to say the alphabet by each student is shown in the image attached below.
What is a line plot?A line plot can be defined as a type of graph that is used to graphically represent a data set above a number line, especially by using crosses, dots, or any other mathematical symbol.
In this exercise, you'll define a number line with numerical values ranging from zero (0) to eight (8) since the greatest length of time in seconds is 7.5 seconds.
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what are the factor pairs of 34
Answer:
2 and 17
Step-by-step explanation:
2 x 17= 34
hope it helps
literally the hardest question
The amount of money that is invested in the account that yields an 8% interest is $6,050.
The amount of money that is invested in the account that yields a 4% interest is $4,650.
How much was invested in each account?Given these two equations:
x = y + 1400
x - y = 1400 equation 1
0.08x + 0.04y = 670 equation 2
take the following steps to determine the amount of money invested at each interest rate:
Multiply equation 1 by 0.08
0.08x - 0.08y = 112 equation 3
Subtract equation 3 from equation 2
0.12y = 558
Divide both sides by 0.12
y = 558 / 0.12
y = $4,650
x = $4,650 + 1400
x = $6,050
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What is the formula to find the area of a circle?
Answer:
A= \(\pi\)r²
Step-by-step explanation:
the area of a circle
4 consecutive integers that have a sum of 258
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.
How to explain the informationIn this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.
By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.
Simultaneously using Optimization techniques in the problem-solving process can work to streamline various operations resulting in reduced costs and improved efficiency which can increase profit margins.
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3 Coffee 5.85
1 Diet Bev. – lg. 3.38
1 Sparkling Water 2.50
3 Ranch Chicken Sandwich 44.97
1 Classic Burger 12.95
1 Thai Stir-fry Special 11.50
2 Club Sandwich 22.98
Subtotal 104.13
Tax (13%) 13.54
Total 117.67
1. The receipt is for lunch for five students. Each student will pay 1/5 of the bill.
What will each student pay, excluding taxes and tip?
The amount of money each student will pay, excluding taxes and tip, $23.534
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
3 Coffee 5.85
1 Diet Bev. – lg. 3.38
1 Sparkling Water 2.50
3 Ranch Chicken Sandwich 44.97
1 Classic Burger 12.95
1 Thai Stir-fry Special 11.50
2 Club Sandwich 22.98
Subtotal 104.13
Tax (13%) 13.54
Total 117.67
The receipt is for lunch for five students. Each student will pay 1/5 of the bill
The amount of money each student will pay = ?
⇒ 1/5x117.67
⇒ 23.534
Therefore, the amount each student will pay, $23.534
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Help ASAP!
Question 1:
Check attached file for question 1
Question 2:
A new lake was populated with a small number of trout. The number of trout in the lake can be modeled by the function: P(t)=740 / 1+73e^−0.07 where t is the number of months since the population of trout was first introduced. Round all answers to the nearest whole number
A. what is P(0)= I got 10
B. What does the answer from part A tell us about the trout population?
C. How many trout were in the lake after 1 year?
D. How many trout were in the lake after 10 years?
E. lim t→∞P(t)= I got 740
F. What does the answer from part E tell us about the trout population?
The answer from part A tells us that the trout population was 10 in the first month after it was introduced.
How solve the problem?A. P(0) = 740 / (1 + 73e^-0) = 740 / (1 + 73) = 740 / 74 = 10, so the answer is 10.
B. The answer from part A tells us that the trout population was 10 in the first month after it was introduced.
C. To find the number of trout in the lake after 1 year, we need to find P(12): P(12) = 740 / (1 + 73e^-0.07*12) = 740 / (1 + 73e^-0.84) ≈ 490, so the answer is 490.
D. To find the number of trout in the lake after 10 years, we need to find P(120): P(120) = 740 / (1 + 73e^-0.07*120) = 740 / (1 + 73e^-8.4) ≈ 740, so the answer is 740.
E. lim t→∞ P(t) = 740, so the answer is 740.
F. The answer from part E tells us that as the number of months t approaches infinity, the trout population will approach 740. This means that the trout population will eventually stabilize at 740 if no other factors such as predators, disease, or lack of food affect the population.
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Convert 93 ft to yards
Answer:
31 yards
Step-by-step explanation:
Since there are 3ft in 1 yard,
93 ft / 3 ft = 31 yards
Answer:
31 yards
Step-by-step explanation:
1 ft is 1/3 yard
So 93 ft = 93/3
= 31 yards
OR
1 ft is 0.333 yard
93 × 0.333 = 31 yard.
If g(x) is the image of y=−2x^2−20x+2 after a translation right 4 units and up 2 units, write the equation of g(x) in the standard form of a quadratic function and describe its graph.
Enter the quadratic expression in standard form, a(x−h)2+k .
The standard form equation is g(x)=
The image of y = −2x^2 − 20x + 2 after a translation right 4 units and up 2 units is written in:
the form a(x−h)^2 + k is -2(x + 1)^2 - 107standard form of the equation is g(x) = -2x^2 - 4x - 108The graph will be a vertical parabola opening downwards
How to get the transformation imagewhen the function y = −2x^2 − 20x + 2 translates right 4 units it gives
y = -2(x - 4)^2 − 20(x - 4) + 2
going up two units
y = -2(x - 4)^2 − 20(x - 4) + 2 + 2
simplifying the equation further gives
y = -2(x - 4)(x - 4) − 20(x - 4) + 4
y = -2(x^2 - 8x + 16) - 20x - 80 + 4
y = -2x^2 + 16x - 20x - 32 - 80 + 4
y = -2x^2 - 4x - 108
completing the square
-2x^2 - 4x - 108 = 0
-2x^2 - 4x = 108
-2x^2 - 4x + (4/4)^2 = 108 -(4/4)^2
-2x^2 - 4x + (1)^2 = 108 - 1
-2(x + 1)^2 - 107
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just do the one that says dessert dont worry about the other box. And the little boxes with the numbers in it, those r the answer.
Answer:
33
Step-by-step explanation:
OK so you just got to add the 15 with 18 and you'll get 33
Answer:
33
Step-by-step explanation:
Early this morning, I was in the teacher’s lounge early. In the lounge, there are vending machines--one that sells only bottled water and one that sells different flavors of juice. Coincidentally, the person who services those machines was also there making his morning delivery. When I entered the room, he was filling the water machine. Wow, was there a lot of water in that machine! I asked the man how many bottles the machine could hold, and he told me 156! Next to the machine, I noticed he had a cart with the water bottles on it. The bottles were in six-packs, and he had to tear the bottles out of their six-pack holders to put them in the machine. That got me thinking. I wonder how many six-packs the machine will hold?
We have from the question that:
1. The machine can hold 156 water bottles.
2. The bottles were in six-packs.
How many six-packs the machine will hold?
In this case, we need to divide the 156 water bottles into 6 to have the six-pack holders.
Then, we have that:
\(s=\frac{156}{6}\Rightarrow s=26\)Therefore, the machine will hold 26 six-packs.
We can check this if we multiply 26 * 6 = 156 water bottles.
If anyone can solve these problems ill give brainiac answers
Answer:
1: (2*10)+(2*9)=38 the perimeter of ABCD is 38.
2: The angle size of D is 63°.
3: 112
4. 8
5. I don't know sorry.
Factor the expression completely.
x^4y^4 – x^3y
Answer:
x^3 y(xy^3−1)
Answer:
x^3 y(xy^3−1)
Pierce swims ina pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?
Answer:
B
Step-by-step explanation:
I think
help so i cna get out of class
Based on the given conditions, the lock solution is 205.
How to solve a lock?To solve the lock, to calculate the total score based on the given conditions:
Crocus: + 20
Daffodil: + 25
Snowflake: - 50
Tulip: + 30
Bird-Red: + 25, else + 10
Calculating the scores for each input:
TULIP: +30
CROCUS: +20
DAFFODIL: +25
TULIP: +30
DAFFODIL: +25
TULIP: +30
DAFFODIL: +25
CROCUS: +20
Total score = 30 + 20 + 25 + 30 + 25 + 30 + 25 + 20 = 205
Therefore, the solution for the lock is 205.
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Image transcribed:
SPRING NOW LOADING.
<IF CROCUS, THEN +20>
<IF DAFFODIL, THEN +25>
<IF SNOWFLAKE, THEN -50>
<IF TULIP, THEN +30>
<IF BIRD-RED, THEN +25, ELSE + 10>
TULIP
CROCUS
DAFFODIL
TULIP
DAFFODIL
TULIP
DAFFODIL
CROCUS
Solve Lock
An educational researcher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds to assemble the project was noted, and the toy was disassembled out of the child's sight. Then the child was given the task to repeat. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times.
Find the 99% confidence interval for the difference in means.
Child
2
3
4
Trial 1
108 140
154
115
Trial 2
99
118 154
96
5
130
108
107
102
110
0 0.7
0-07<4-4 < 23.5
0-29
O 29
The route used by a certain motorist in commuting to workcontains two intersections with traffic signals. The probabilitythat he must stop at the first signal is 0.39, the analogousprobability for the second signal is 0.54, and the probability thathe must stop at least one of the two signals is 0.64. What is theprobability that he must stop.
a.) At both signals?
b.) At the first signal but not at the second one?
c.) At exactly on signal?
Answer:
a) P(A∩B) = 0.29
b) P1 = 0.1
c) P = 0.35
Step-by-step explanation:
Let's call A the event that the motorist stop at the first signal, and B the event that the motorist stop at the second signal.
From the question we know:
P(A) = 0.39
P(B) = 0.54
P(A∪B) = 0.64
Where P(A∪B) is the probability that he stop in the first, the second or both signals. Additionally, P(A∪B) can be calculated as:
P(A∪B) = P(A) + P(B) - P(A∩B)
Where P(A∩B) is the probability that he stops at both signals.
So, replacing the values and solving for P(A∩B), we get:
0.64 = 0.39 + 0.54 - P(A∩B)
P(A∩B) = 0.29
Then, the probability P1 that he just stop at the first signal can be calculated as:
P1 = P(A) - P(A∩B) = 0.39 - 0.29 = 0.1
At the same way, the probability P2 that he just stop at the second signal can be calculated as:
P2 = P(B) - P(A∩B) = 0.54 - 0.29 = 0.25
Finally, the probability P that he stops at exactly one signal is:
P = P1 + P2 = 0.1 + 0.25 = 0.35
Does the line for y = 6 have a negative slope ?
No, the slope of a horizontal line y=6 is, zero not negative.
What is a Slope?
In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.
The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.
Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,
m = change in y/change in x = Δy/Δx
Where “m” is the slope of a line.
Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter ‘m’.
Slope Formula
If P(x1,y1) and Q(x2,y2) are the two points on a straight line, then the slope formula is given by:
Slope, m = Change in y-coordinates/Change in x-coordinates = Δy/Δx
m = (y2 – y1)/(x2 – x1)
In the given equation of line y=6 .
The line crosses the y-axis at 6, as the line is always at that value. As it is a horizontal line, the slope is zero.
The equation y = 6 means for each and every value of x, y will be equal to 6.
This is the definition of a horizontal line.
By definition, the slope of a horizontal line is m = 0
When x = 0 then y = 6
Therefore, the y-intercept is: (0, 6).
Hence , the the slope of a horizontal line , m = 0.
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Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)
Answer -4+X/2=7
-4+X=14
X=18
5+Y/2=-9
5+Y=-18
Y=-23
18,-23
Step-by-step explanation:
Answer:
x=18 , y. = -13
Step-by-step explanation:
\(\frac{-4 + x}{2} \\\) =7 => x = 18
\(\frac{-5 + y}{2\\} \\\) = -9 => y= -13
) Emily baked a cake in 42.5 minutes. She finished making dinner 9 1/10 minutes sooner than the cake. How long did it take her to make dinner? Hint: Change the 9 1/10 to a decimal
It took Emily 33.4 minutes to make dinner.
Define a mixed number?A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.
To solve the problem, we have to convert the mixed number \(9 \frac{1}{10}\) to a decimal number:
⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)
⇒ \(\frac{91}{10}\) = 9.1
This means that Emily finished making dinner 9.1 minutes sooner than the cake.
To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:
⇒ 42.5 - 9.1 = 33.4 minutes
Therefore, it took Emily 33.4 minutes to make dinner.
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f(x) = 2x power of 3 - 8x
Answer:
I am so sorry I would help u but I don't now
Step-by-step explanation:
sorry again
The function f(x) =2x^3 - 8x is an even function.
Odd and even functionA function is known to be even function if the function f(x) is equal to f(-x)
Given the function below;
f(x) = 2x^3 - 8x
Determine the function f(-x)
f(-x) = 2(-x)^3 - 8 (-x)
f(-x) = -2x^3 + 8x
f(-x) = -(2x^3 - 8x)
Since f(x) = 2x^3 - 8x, hence;
f(-x) = f(x)
Therefore the function f(x) =2x^3 - 8x is an even function.
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Max’s custom lacrosse stringing experienced fixed costs of $750 and variable costs of $15 for each lacrosse stick that was restrung. Write an equation that can be used to determine the total cost when x sticks are restrung. Then determine the total cost of restringing 32 lacrosse sticks.
The equation representing the total cost is 15x + 750 and the total cost of restringing 32 lacrosse sticks would be $1230.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Let, The number of lacrosse sticks be 'x' and the total cost is C(x).
Therefore, The equation representing the context is,
C(x) = 25x + 750.
The total cost of restringing 32 lacrosse sticks would be,
C(32) = 15×32 + 750.
C(32) = 480 + 750.
C(32) = 1230.
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The two lines graphed on the coordinate grid each represent an equation. Which ordered pair represents a solution?
Answer:
The ordered pair (-3, 3) represents the solution of two lines on the coordinate grid.
Thus, option B is true.
Step-by-step explanation:
As we know that the point of intersection of two lines is the solution of the lines.
Given the graph of the lines, we can see that the two lines intersect at the point (-3, 3).
i.e. at x= -3, y = 3
The point of intersection is (-3, 3)
Thus, the ordered pair (-3, 3) represents the solution of two lines on the coordinate grid.
Thus, option B is true.
Answer:
B
i'm sorry for wasting your time and these points but i don't think anyone is gonna answer the question since someone already did and its correct, i just answered it so the other person can get the Brainiest :) Have a nice day!
Dale has $1,000 to invest. He has a goal to have $2,400 in this investment in 12 years. At what annual rate compounded continuously will Dale reach his goal?
Answer:
9%
Step-by-step explanation:
Given that
The invested amount is $1,000
The future value is $2,400
The time period is 12 years
We need to find out the annual rate that compounded continously
So,
As we know that
Amount = Present value × e^(rate × time)
$2,500 = $1,000 × e^(rate × 12)
2.5 = e^(rate × 12)
ln 2.5 = 10r
ln 2.5 ÷ 10 = r
r = 9%
Find the component form of v within the given magnitude and direction angle
|v|= 28, v = 273°
Answer:
(1.46541, 27.96163)
Step-by-step explanation:
You want the component form of the vector 28∠273°.
ComponentsThe vector components are ...
magnitude×(cos(θ), sin(θ)) = 28(cos(273°), sin(273°))
v ≈ (1.46541, 27.96163)
<95141404393>
I need step by step explanation i this question.
The ratio of football to total equipment is 3/ 7
What is ratio?Ratio can be defined as the comparison of two or more numbers with their sizes in relation to each other.
It explains how many times one number contains another.
From the diagram shown, we have:
6 footballs2 handballs3 pairs of shoesRatio of football to total equipment is;
= 6/ 6 + 2 + 6
= 6/ 14
Find common divisor
= 3/ 7
Thus, the ratio of football to total equipment is 3/ 7
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Which of the following statements is true concerning f(x) = x2 - 22 - 24
Please help !
(4x-20) and (3x+14) they equal 155 what is X?
Answer:
x = 23
Step-by-step explanation:
all you have to do is follow the rules of PEMDAS and treat it like a normal equation of order of operations;
Two people are playing the game rock, paper scissors. In each round both players show rock, paper, or scissors at the same time. What is the probability that both players show rock in the first round. Show your work.
The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).
In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.
To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.
Therefore, the probability that both players show rock in the first round can be calculated as follows:
P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9
So the probability that both players show rock in the first round is 1/9 or approximately 0.111.
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