Answer:
rather 59 or 87?
Step-by-step explanation:
Select the postulate that is illustrated for the real numbers. 3 + 2 = 2 + 3
Answer: Symmetry Property of Equality
Melissa ran the 800 meter dash in 3 minutes and 8 seconds at the district track meet. Her goal was to run the race in 2 minutes and 45 seconds. How much faster did Melissa need to run to meet her goal?
Hey there! I'm happy to help!
There are sixty seconds in a minute. This means there are 180 seconds in 3 minutes, meaning that Melissa ran her race is 188 seconds.
2 minutes is 120 seconds, plus 45 gives us 165 seconds.
188-165=23
Melissa had to run 23 seconds faster to meet her goal.
Have a wonderful day! :D
Answer:
She needs to run 23 seconds faster
Step-by-step explanation:
First convert from minutes to seconds
3 minutes and 8 seconds= 188 seconds
2 minutes and 45 seconds=165 seconds
Now subtract
188-165=23
She needs to run 23 seconds faster
Hope this helps :)
Which of the following rational functions is graphed below?
A. F(x)= -1/x
B. F(x)= 1/x-1
C. F(x)= 1/x+1
D. F(x)= 1+x/x
Because we have a vertical asymptote at x = -1, we conclude that the correct option is C.. Which of the following rational functions is graphed below? In the graph, we can see that we have a vertical asymptote at x = -1.. …
If GHJ is equal to LMK, with a scale factor of 5:6, find the perimeter of GHJ.
KL is 14, LM is 11, and KM is 17.
Answer: Weeeell, 35
Step-by-step explanation:
1. By definition, the perimeter of a triangle is the sum of the lenght of each side.
2. Then, the perimeter of the triangle LMK is:
P_{LMK}=14+17+11\\P_{LMK}=42
3. If both triangles are congruent and the scale factor is 5:6 (Which you can rewrite as a fraction: 5/6), you must multiply the perimeter of the triangle LMK by this scale factor.
4. Then, you have that the perimeter of the triangle GHJ is:
P_{GHJ}=42*\frac{5}{6}=35
What I have to say:
I hope I helped you, and pls mark brainliest. Have a great day BYYYE!!!!!
I'm really struggling with this problem, can someone help me please? :(
The length of AB after dilation is 3/5cm.
what is scale factor?The size by which the shape is enlarged or reduced is called as its scale factor.
Scale factor is defined as the number or the conversion factor which is used to change the size of a figure without changing its shape.
It is used to increase or decrease the size of an object.
The scale factor can be calculated if the dimensions of the original figure and the dimensions of the dilated (increased or decreased) figure are known.
For example, a rectangle has a length of 5 units and a width of 2 units. Now, if we increase the size of this rectangle by a scale factor of 2, the sides will become 10 units and 4 units, respectively. Hence, we can use the scale factor to get the dimensions of the changed figures.
Given:
Length of AB = 3 cm
scale factor = 1/5
As, we know
scale factor = change in length / Actual length
1/5 = Change in length / 3
Change in length = 3/5
Hence, the length of AB after dilation is 3/5 cm
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Random simple service of voters were taken in three different regions of a county that has a voter population of 55,000. On average 42 out of 100 voters supported issue seven and 58 oppose it estimated number of voters in the county who support the issue.
Answer: 23100 voters
Step-by-step explanation:
42*55000=2310000
2310000/100=23100 voters
How to find the slope intercept form for the equation of the line through (5,1) and (3,-7)
\((\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{5}}} \implies \cfrac{-7 -1}{3 -5} \implies \cfrac{ -8 }{ -2 }\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{4}(x-\stackrel{x_1}{5})\)
\(y-1=4x-20\implies y=4x-19\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
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.
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation:
Which of the equations below could be the equation of this parabola?
OA y--¹x²
OB. x--²
C. x-²
D. y - x²
10
(0,0)
Vertex
10
An equation that could be the equation of this parabola include the following: C. x = 1/12(y²).
How to determine the equation of a parabola?In Mathematics, the standard equation of the directrix lines for any parabola that opens to the right is represented by this mathematical expression:
x = a(y - k)² + h.
Where:
h and k represent the vertex.a represent the leading coefficient.By critically observing the graph which models the equation of this parabola, we can logically deduce that the vertex is at point (0, 0) and as such, we have the following:
h = 0
k = 0
a = positive.
x = a(y - k)² + h.
x = a(y - 0)² + 0.
x = ay²
Therefore, a possible equation is x = 1/12(y²).
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Fine floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how long would it take to install carpet in a room that measures 11 feet 9 inches by 13 feet 4 inches?
Answer:
5 hours and 13 minutes
Step-by-step explanation:
Hope this helps!! Please mark brainlliest.
Which one is equivalent to 13/11?
Answer:
C
Step-by-step explanation:
Using a calculator, we can find that the answer will be 1.18181818181....
This can be represented as answer C.
Janelle has set up bird feeders around the pond behind her house. Each feeder can hold 1/2 a cup of bird food. After measuring, Janelle finds that she has 3 cups of bird food. How many feeders can she fill?
Answer: Janelle can fill 6 feeders.
Step-by-step explanation:
To find the number of feeders Janelle can fill, we need to divide the total amount of bird food she has by the amount of bird food each feeder can hold.
First, let's convert the total amount of bird food from cups to half-cups:
3 cups / 2 = 6 half-cups
So, Janelle has 6 half-cups of bird food, and each feeder can hold 1 half-cup.
Therefore, she can fill:
6 half-cups / 1 half-cup per feeder = 6 feeders.
So, Janelle can fill 6 feeders.
A rectangular prism has ____ faces.foursixeight
To find:
The number of fa
A family would like to build a linear regression equation to predict the amount of grain harvested per acre of land on their farm. They subdivide their land into several smaller plots of land for testing and would like to select an explanatory variable they can control. Which of the following is an appropriate explanatory variable that the family could use to create a linear regression equation?
a. The total amount of rainfall recorded at their farm ).
b. The type of crop planted in the plot the previous year.
c. The average daily temperature at their farm.
d. The variety of grain planted in the plot.
e. The amount of fertilizer applied to each plot of land.
Answer:
The correct option is;
The amount of fertilizer applied to each plot of land
Step-by-step explanation:
The value which the family would like to predict = The amount of grain harvested per acre of land on their farm
The methodology to be used for the prediction = Linear regression equation
The general form of a linear regression equation is Y = a + b·X
Where;
X = The independent or explanatory variable
Y = The dependent variable
b = The gradient or slope which is the rate of change
a = The y-intercept, the initial value of the dependent variable at the start of observation when the explanatory variable is 0
Therefore, given that the family would like to predict the amount of grain produced per acre, we have;
The variable which is whose value depends on other variable is the variable to be predicted and it is the same as the dependent variable
Therefore, the dependent variable is to be predicted, which gives;
The amount of grain produced per acre which is the dependent variable is to be predicted
Hence, Y = The amount of grain produced per acre
The explanatory variable or the independent variable is the variable which determines the value and in which the dependent variable depends as such it can be used to explain the values of the amount of grain growing per acre, therefore, we have;
The explanatory variable can be the amount of fertilizer applied to each plot of land
Therefore;
X = The amount of fertilizer applied to each plot of land
Therefore, we have;
The amount of grain produced per acre = The initial growth of grain per acre + (Rate of change of grains produced per unit of fertilizer added) × (The amount of fertilizer applied to each plot of land).
The explanatory variable refers to the independent variable in an experiment which is used to tweak the value of the measured variable. An appropriate explanatory variable would be the amount of fertilizer applied to each plot of land
Explanatory would be one which has a reasonable degree of correlation or relationship with the measured variable. Since, we'll like to measure the output on each plot using the amount of grain harvested, then a factor which closely affects the level of crop yield should be selected. The amount of Rainfall and temperature are close factors, however, they cannot be controlled. The most appropriate and highly correlated explanatory variable would be the amount of fertilizer applied to each plot of land.Therefore, the amount of fertilizer is a good factor to measure the yield or amount of grain harvested on each plot.
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Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
Given that I0=10−12 watts/meter2, what is the intensity of a sound for which the decibel level of the sound measures 144? Round off your answer to three decimal places.
A furniture store routinely calls some customers to inquire about their buying experience in the showroom, the delivery and setup, and their overall satisfaction with
purchase. Today the calls will go to 2 homes randomly selected from last week's 5 customers. How many different groups of customers could the store call?
Answer:
10 different groups of customers could the store call
Step-by-step explanation:
Given the data in the question;
calling two (2) homes out of last week's five (5) customers;
so, there are 5 customers from last week and todays call needs to go to 2 customers randomly;
hence, Total group will be;
\(\left[\begin{array}{ccc}5\\2\\\end{array}\right]\) = 5! / ( 2! × ( 5 - 2 )!
= 5! / (2! × 3! )
= 10
Therefore, 10 different groups of customers could the store call
The one selected is wrong please help meee!
Answer:
(a) ΔARS ≅ ΔAQT
Step-by-step explanation:
The theorem being used to show congruence is ASA. In one of the triangles, the angles are 1 and R, and the side between them is AR. The triangle containing those angles and that side is ΔARS.
In the other triangle, the angles are 3 and Q, and the side between them is AQ. The triangles containing those angles and that side is ΔAQT.
The desired congruence statement in Step 3 is ...
ΔARS ≅ ΔAQT
At the beginning of the summer,
Shay had $27 in her savings
account. Shay worked as a
lifeguard and by the end of the
summer had a total of $575 in
her savings account. How much
did Shay save over the summer?
What are the solution(s) to the quadratic equation 50 – x2 = 0?
x = ±2
Answer:
x = ±5√2
Step-by-step explanation:
Add x^2 to both sides.
50 = x^2
Take the square root.
±√50 = x
x = ±5√2 . . . . . simplified roots
The solutions to the quadratic are x = -5√2 and x = 5√2.
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Write each number using powers of 10.
1) 290
2) 0.08
3) 935
4) 898000
5) 0.0000004
6) 24000000
Answer: THE ANSWERS ARE IN THE ORDER YOU TYPED THEM.
4.207072333002E+24
1.073741824E−11
5.1064150184543E+29
3.4100705703366E+59
1.048576E−64
6.3403380965376E+73
Step-by-step explanation:
Hope this is correct... I used a calculator and learned a little about this from a family member so.. yeah-
PLEASE may I get help, I'm so lost. It would mean a lot to me, please.
A grade school is putting on its Spring show. The theater seats 120 people. Because of the demand for tickets, the school has made the following specifications:
•The number of tickets for children will be twice as many as the number for adults.
•Full-price adult tickets will be $24; children's tickets will be $12
•At least 10 of the adult tickets will be made available to seniors aged 60 and over at 25% discount
•Total ticket sales must be at least $1,800
1)How many children's tickets will be sold? 2)How many adult tickets (full-priced and senior) will be sold?
3)How many of the adult tickets can be sold with the senior discount?
9514 1404 393
Answer:
804010 to 20, inclusiveStep-by-step explanation:
1. The various goals can be met without filling the theater. This fact means there is a range of possibilities for each of the answers. However, we take the wording, "because of the demand for tickets ..." to mean demand is high and the theater will be sold out.
Since two children's tickets will be sold for each adult ticket sold, the number of children's tickets is 2/3 of the total.
children's tickets = 2/3 × 120 = 80
__
2. The remaining 40 tickets will be adult tickets.
40 adult tickets will be sold.
__
3. The total revenue must be at least $1800. If we allow 'd' tickets to be sold at a discount, then we can find the limits on d using the inequality ...
24(40-d) +24(0.75)d +12(80) ≥ 1800 . . . . revenue from ticket sales
-6d ≥ -120 . . . . . . . . . . . . . . . . . . . collect terms, subtract 1920
d ≤ 20 . . . . . . . . . . divide by -6
At least 10 and at most 20 adult tickets can be sold with a discount.
("At least 10" comes from the problem requirements.)
Round £168.51 to the nearest pound
Answer:
£169
Step-by-step explanation:
because the number in the decimal immediately after 8 the integer 168, is up to or more than 5.
The required round of £168.51 to the nearest pound is £169.
Given that,
To round £168.51 to the nearest pound.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
£168.51 is given in the question and asked to round is to the nearest pound, since after the decimal the number 51 is closer to the nearest zero i.e. 100,
Implies,
The nearest pound to the £168.51 is £169
Thus, the required round of £168.51 to the nearest pound is £169.
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Find the measure of the missing angle.
Answer:
36 degrees
Step-by-step explanation:
The whole angle is 99. The known angle is 54. Take 54 from 99 and it's 36.
Hope It Helps
Sorry If I'm Wrong
Find the distance between the points (-3,-6) and (-3,-2)
Answer:
The answer is
4 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,-6) and (-3,-2)
The distance is
\(d = \sqrt{( { - 3 + 3})^{2} + ({ - 6 + 2})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
We have the final answer as
4 unitsHope this helps you
PLEASE HELP
Consider the two circles shown
To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about it’s center by a scale factor of s.
What are the values of t and s
Answer:
t is 13
scale factor is 7/4
-5p+11 > 43-9p
sorry. but I need help on all of these questions please help.
Answer:
Step-by-step explanation:
Hey, again!
So, first, get the 43 isolated. So, add -9p on both sides.
This will give you 4p+11>43
Next, subtract 11 on both sides.
You will get 4p>32
Next, divide 4 on both sides
This will give you p>8.
Hope this helps!!!
Help!!!!!!!!!!!!!!!!!
Answer:
the answer is one hundred and eight 108
Step-by-step explanation:
108 bro trust me
Derrick's dinner bill, including an 18% tip, is $15.34.
What was the amount of the bill before the tip?
Enter your answer in the box. I WILL GIVE BRANLIEST IF ASWERED CORRECTLY
Answer:
The amount before the tip was $12.58
Step-by-step explanation:
Answer:
The amount before the tip was $12.58
Step-by-step explanation: