The factored form of the equation x² + 11x + 24 is (x + 3)(x + 8).
How to factor quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. Quadratic equation can be represented in standard form as follows:
ax² + bx + c
where
a, b and c are constantFactoring a quadratic equation can be defined as the process of breaking the equation into the product of its factors.
Therefore, let's factor the equation x² + 11x + 24 as follows:
x² + 11x + 24
The two numbers we can add to get 11 and multiply to get 24 are 3 and 8.
Therefore,
x² + 3x + 8x + 24
x(x + 3) + 8(x + 3)
Hence, the factored form is (x + 3)(x + 8)
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149 cars are waiting to take a ferry across the channel. Each ferry can only hold 18 cars. How many trips will it take to get all the cars across?
5
8
6
9
Answer: the answer is 8
Step-by-step explanation:
The Answer is: 8
Simply divide 149 by the numbers you see,
Annabelle kicks a football. Its height in feet is given by h = -16t² + 96t
where t represents the time in seconds after kick. What is the football's greatest height?
The kicked football is an example of a projectile. The football's greatest height is 144 m.
What is the projectile?A projectile is any object that is launched into space and moves under the influence of gravity and air resistance. A kicked football is a good example of a projectile. Given the height of the kicked football to be:h = -16t² + 96tThus, the height of the kicked football is a function of time taken. So that differentiating the equation of the height with respect to time, we have;0 = -32t + 9632t = 96t = [tex]\frac{96}{32}[/tex] = 3
Thus the greatest height of the kicked football is attained when the time is 3 seconds.
Thus,h = -16t² + 96t = -16 (3)² + 96 (3) = -144 + 288h = 144
Therefore the football's greatest height is 144 m.
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what is y-3=5(x-1) in slope intercept form?
Answer:
The answer is y = 5x - 2
Step-by-step explanation:
Distribute 5 through the parentheses:
y - 3 = 5x - 5
Move the constant to the right-hand side and change its sign:
y = 5x - 5 + 3
Calculate the sum:
y = 5x - 2
Which triangle is the original image and which triangle was the dilation? Explain how you know?
Answer:
ABC is the original
Step-by-step explanation:
The scale factor is 1/2 which means that the triangle would get 2 times smaller. Therefore, triangle ABC is the original because it is the bigger one.
The circumference (C) of a circle i 18 centimeter. Which formula can you ue to find the radiu (r) if you know that C =
Answer:
Radius is equal to 2.86 cm
Step-by-step explanation:
C = Perimeter = 18 cm
Perimeter of a circle = 2*PI*r
C = 2*pi*r
18 = (2)*(3.14)*r
18 = 6.28*r
r = 18/6.28
r = 2.86 cm
A type of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue.
A. Find a mixture that will make the same shade of green but a smaller amount.
B. Find a mixture that will make the same shade of green but a bigger amount.
C. Find a mixture that will make the different shade of green that is bluer.
D. Find a mixture that will make the different shade of green more yellow.
(Please provide a detailed expiation/step-by-step).
To determine a mixture that will make the same shade of green but a smaller amount, we can divide both the yellow and blue amounts by the same number.
How to find a mixture that will make the same shade of green but a smaller amount?To solve this problem, we can use the principle of proportionality, which states that if two ratios are equal, then the quantities they represent are proportional.
A. To find a mixture that will make the same shade of green but a smaller amount, we can divide both the yellow and blue amounts by the same number. For example, if we divide both amounts by 2, we get 1 cup of yellow and 1.75 cups of blue. This will create a smaller amount of the same shade of green.
B. To find a mixture that will make the same shade of green but a bigger amount, we can multiply both the yellow and blue amounts by the same number. For example, if we multiply both amounts by 2, we get 4 cups of yellow and 7 cups of blue. This will create a larger amount of the same shade of green.
C. To find a mixture that will make a different shade of green that is bluer, we can increase the amount of blue relative to the amount of yellow. For example, we could use 2 cups of yellow and 4 cups of blue, which would create a green that is bluer than the original shade.
D. To find a mixture that will make a different shade of green that is more yellow, we can increase the amount of yellow relative to the amount of blue. For example, we could use 3 cups of yellow and 2 cups of blue, which would create a green that is more yellow than the original shade.
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Question 7 - 5 Points
Dec 18, 7:12:35 PM
Santiago finds some dimes and quarters under the couch cushions. How much money
(in dollars) does he have if he has 4 dimes and 7 quarters? How much money (in
dollars) does he have if he has a dimes and y quarters?
Answer:
Step-by-step explanation:
4x+7y=2.15
a dime is worth 10 cents each and because there are 4 dimes then there are 40 dimes. a quarter is worth 25 cents 4 quarters is a dollar, there are 7 quarters, minus 4, your left with 3 quarters so you have $1.75 of quarters but then you add .40 so now you have 2.15. So Santiago has $2.15 dollars.
x+y=2.15
For the 2nd question I think that it is asking a question and I think that this might be the answer but i'm not sure...if wrong I'm sorry.
1) Is the pattern linear? If yes, state the initial value and constant rate
2) Is the pattern discrete or continuous? How can you tell
1. It can be piecewise linear; from x = 1 to x = 4, the y-value increases by the same amount each time. From x = 0 to x = 1, the y-value stays the same.
However, if it is supposed to be a single function, it would be non-linear because it changes slope.
2. It is discrete because there is no data between the points.
Andrew invet $200 into an account with a 2. 9% interet rate that i compounded emiannually. How much money will he have in thi account if he keep it for 5 year? Round your anwer to the nearet dollar
Andrew will have $251.91 in his account after 5 years, assuming he does not add or withdraw any money from the account and that interest is compounded semiannually at a rate of 2.9%.
What Does an Interest Rate Mean?The fee that a lender assesses on a borrower is known as the interest rate, which is expressed as a percentage of the principal, or the loaned amount. Usually, the annual percentage rate (APR), which is how loans' interest rates are expressed, is indicated (APR).
What is the process of an interest rate?Once your loan is fully repaid, interest will have an impact on the overall cost you pay. For instance, if the interest rate on a $100 loan is 5%, you will have to pay the lender $105 in order to repay the money. $5 will be profit for the lender.
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A lighthouse is 160 feet tall. A scale model of the lighthouse has a scale of 1 in: 8 ft. How tall is the model of the lighthouse in inches?
Answer:
The Answer is 20 inches tall
To indirectly measure the distance across a lake, Isra makes use of a couple landmarks at points L and M. She measures KO, OM, and NO as marked.
1. Write a triangle similarity statement.
2. Identify the scale factor.
3. Find the distance across the lake (LM), rounding your answer to the nearest hundredth of a meter.
1. ΔMLK ≅ ΔONK by AA similarity theorem.
2. The scale factor is 21/16 .
3. The distance across the lake is, LM ≈ 169.97 m.
What is the AA Similarity Theorem?The AA similarity theorem states that two triangles are similar to each other if we can show that they both have two congruent angles that are corresponding to each other.
1. In the image given, we have the following:
∠MLK ≅ ∠ONK because they are right angles
∠LKM ≅ ∠NKO based on the reflexive property of congruence.
Therefore, the similarity statement would be: ΔMLK ≅ ΔONK by AA.
2. The scale factor = (50 + 160) / 160 = 210/160 = 21/16
3. LM/NO = MK/OK
LM/129.5 = 210/160
LM = (210)(129.5)/160
LM ≈ 169.97 m
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do upperclassmen (seniors and juniors) spend more money on alcoholic beverages then underclassmen (freshman and sophomores)? what type of inference is this?
The type of interference is this :
Comparing proportions from 2 independent samples
Given,
In the question:
Complete question is this:
Do upperclassmen (Seniors and Juniors) spend more money on alcoholic beverages then underclassmen (Freshman and Sophomores)? What type of inference is this?
a. Comparing proportions from 2 independent samples
b. One proportion
c. Comparing means from dependent samples
d. Comparing means from 2 independent samples
e. Comparing proportions from dependent samples
f. One mean
Now, According to the question:
Hence, The type of interference is this :
a. Comparing proportions from 2 independent samples
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when gathering data through a survey, companies can save money by surveying 100% of a population. 1 point true false
When gathering data through a survey, companies can save money by surveying 100% of a population. False
What is survey?
Survey an activity in which many people are asked a question or a series of questions in order to gather information about what most people do or think about something.
Survey research has historically included large population-based data collection. The primary purpose of this type of survey research was to obtain information describing characteristics of a large sample of individuals of interest relatively quickly.
Therefore when gathering data through survey there is not 100% sure that companies can make alot of save.
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In a race, two of the cars had to drop out before finishing. The table below shows the distance (in miles) each of these cars travelled each hour,
Car #1
150
Car #2
165
Distance each hour
(in miles)
Let x be the number of hours Car #1 travelled before dropping out.
Let y be the number of hours Car #2 travelled before dropping out.
x ≥ y
Answer:
The table below shows the distance in miles each of these cars traveled each hour. Let x be the number of hours Car #1 traveled before dropping out. Let y be ...
Step-by-step explanation
explain the process of the square root of 80n3
The square root of 80 is 4√5 ≅ 8.92.
What is a square root of a number?
In mathematics, the square root of a number is a value that gives the original number on multiplication by itself. The positive number, when multiplied by itself, represents the square of the number. Thus, the square root of the square of a positive number gives the original number.
Using Prime Factorization:
The first step in this method is to find the prime factors of 80.
80 = 2 × 2 × 2 × 2 × 5
To find the root from here, we can simplify this to
√80 = √(2 × 2 × 2 × 2 × 5)
√80 = 4√5
We can either leave it at this or find the root of 5 which is 2.23 and simplify further.
Hence, Square Root of 80 = 4√5 ≅ 8.92.
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i need help fast pleaseeeeeeeeeee :) (:()
Answer:
translation down 2 and reflection across x axis
What is y to the 7th power, then subtract 8 from the result
Answer: y^7 - 8
Step-by-step explanation:
It is an algebra equation. It can't be factor or solve further!
The typing rate per minute of a person who can type 225 words in 7.5 minutes.
Answer: 30 wpm.
Step-by-step explanation:
Do 225 divided by 7.5 and you get 30.
30 words in one minute.
Which equation represents the following problem?
If it takes 5 hours to travel 200 miles to the beach, what is the average speed?
200 = r x t
200 = r x 5
d= 200 x 5
r x 200 = 5
The equation which represent the following problem is s = 200/5
What is the average speed?Average speed of an object refers to the rate of total distance traveled by the total time taken.
Average speed, s = Total distance traveled, d / Total time taken, t
Total distance traveled = 200 milesTotal time taken = 5 hoursAverage speed = Total distance traveled / Total time taken
= 200 miles / 5 hours
= 40 miles per hour
In conclusion, the situation can be represented by the equation s = 200/5
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A school sold 461 tickets for the school play. Student tickets cost $3 and adult tickets cost $4. Ticket sales totaled $1624.
Part A. Write and solve a system of equations to model this situation.
Part B. Then explain the meaning of your solution.
Total 241 adult ticket and 220 student ticket are sold.
What is system of equation ?system of equations, orsimultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.
a + s = 461 or s = 461 -a
Value of student tickets sold = s × 3 = 3 × (461-a)
Value of adult ticket sold = 4 a
Summed they total 1624
System of equations :
s = 461-a3 (461-a) + 4a
= 16241383 -3a +4a
= 1624a
= 241
then s = 461 -a = 220 ticket
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After a nowball fight, Nathan wanted to warm up with a cup of hot chocolate. He decided to make enough to hare with hi friend. Firt, he heated 6 cup of milk and 1 pint of cream in a large pot. Then, he tirred in 4 cup of melted chocolate. How many cup of hot chocolate did Nathan make?
The number of cups of hot chocolate drink Nathan made is 12 cups.
According to the given information
Nathan made how many glasses of hot chocolate?number of milk cups 6 cups cooked by Nathan
4 cups of melted chocolate equals the number of cups.
Total number of creams = 1 PINT
Pint to cup conversion: 1 pint = 2 cups
Total number of cups of hot chocolate that were made by nathan
= Cups of milk heated + cups melted + number of cream
As a result, Nathan prepared 12 cups of hot chocolate.
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The proportional relationship between the number of hours jack works, h, and his total earnings in dollars and cents, e, can be represented by the equation e=19. 1he=19. 1h. What is the constant of proportionality from the number of hours worked to total earnings?.
19.1 is the proportionality constant. It shows that Jack makes 19.1 dollars and cents for every hour he works.
Given that e = 19.1 may be used to represent the percentage between Jack's total wages in dollars and cents and the number of hours he works, h, the relationship between these two variables is one of proportionality.
We need to determine the constant of proportionality.
The constant of proportionality in the preceding equation, e = 19.1h, stands for the constant ratio between the total number of hours worked (h) and the total amount earned in dollars and cents (e).
The amount of money Jack makes for each hour he works is determined by this constant.
We can compare the provided equation with the formula for a proportional connection, which is: to determine the constant of proportionality.
e = k × h
Here, "k" represents the constant of proportionality.
We need to identify the value of "k" from the given equation e = 19.1h.
We can see by comparing the two equations that the proportionality constant, "k," is 19.1.
This indicates that Jack makes $19.1 for each hour that he works. The fixed rate of 19.1 (constant) represents the rise in his pay for each additional hour he works.
Hence, the constant of proportionality from the number of hours worked to total earnings is 19.1 dollars per hour.
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Problem Situation: Ike has $126 in his bank account. He gets $20 for his birthday. He also has a part-time job that pays $8 per hour. How many hours will he need to work to have $250 in his bank account?
Choose the equation that correctly models the situation. The letter h represents the hours Ike will need to work.
(250−126)h=20+8
126+20+8+250=h
126+20+8h=250
250+126+20=8h
Answer:
126+20+8h=250
Step-by-step explanation:
which sampling strategy is most commonly used in ethnography? group of answer choices purposive sampling cluster sampling stratified random sampling derivative sampling
The size of the subculture or group under studied determines the sampling size in ethnography. In this regard, it might not be possible to predetermine the participant count. The complete subculture or group being studied serves as the study sample size in anthropological research.
The non-random sample that best resembles stratified random sampling is quota sampling.
Using the non-probability sampling technique of quota sampling, researchers select a sample of people who are typical of the population. These people are chosen by researchers based on specific traits or qualities. In order to use market research samples for data collecting, they decide on and set sample quotas. These samples accurately reflect the entire population. The interviewer's or researcher's knowledge of the population will be the only factor used to select the final subgroup.
Probability sampling means that every member of the population has a chance of being selected.
There are four main types of probability sample.
Simple random sampling.
Systematic sampling.
Stratified sampling.
Cluster sampling.
For instance, a tobacco company would want to know which age group in a given city loves which brand of smokes. The age groups of 21–30, 31–40, 41–50, and 51+ are subject to survey quotas. Based on these findings, the researcher makes an estimation of the smoking trend in the city's inhabitants.
Therefore,
The size of the subculture or group under studied determines the sampling size in ethnography. In this regard, it might not be possible to predetermine the participant count. The complete subculture or group being studied serves as the study sample size in anthropological research.
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I am confused on how to solve
Answer:
6 sqrt(2)
Step-by-step explanation:
sqrt(50) + sqrt(2)
Rewrite sqrt(50) as sqrt(25*2) = sqrt(25) * sqrt(2) = 5 sqrt(2)
5 sqrt(2) + sqrt(2)
6 sqrt(2)
if alicia had been able to achieve the same percentage of visitors for the entire week as she does on monday, how many additional people would then visit cool beans?
Alicia want that 50 % of all people who visited one of the three coffee shops should visit her every week.
Total visitors to the other two coffee shops during one week = 840+1,220 i.e. 2,060
Total visits to Cool Beans should be 50 % of total visits i.e. equal to visits of the other two cafes combined
Visits to Cool Beans should be 2,060
Current Visits =548
Additional visits =2,060-548 i.e. 1,512 visits
Note for better understanding:
same or the demand of coffee will remain same, then the Additional people will be calculated as:
Total number of visits = 584+840+1,220 i.e. 2,608
Target number of visits =50 % of total visits i.e. 1,304 visit
Additional visits = 1,304-548 = 756 visits
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Find the product of 7/30? multiplied by 5/14 simplify your answer
Answer:
Should be 1/12
Step-by-step explanation:
7/30x5/14
Simply multiply the numerators and denominators separately:
5/14× 7/30 = 5 × 7/14 × 30 = 35/420
After reducing the fraction, the answer is
1/12
Rick bought 5 yogurt bars at a snack shop. Each yogurt bar cost $1.80. Complete the table to show the price of 2, 3, 4, and 5 yogurt bars.
By using multiplication, it can be calculated that
The complete table is
Number of yogurt bars Cost of yogurt bars ($)
1 1.80
2 3.60
3 5.40
4 7.20
5 9.00
What is multiplication?
Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.
This is a word problem on multiplication
Cost of 2 yogurt bars = $1.80 [tex]\times[/tex] 2 = $3.60
Cost of 3 yogurt bars = $1.80 [tex]\times[/tex] 3 = $5.40
Cost of 4 yogurt bars = $1.80 [tex]\times[/tex] 4 = $7.20
Cost of 5 yogurt bars = $1.80 [tex]\times[/tex] 4 = $9.00
So the table is
Number of yogurt bars Cost of yogurt bars ($)
1 1.80
2 3.60
3 5.40
4 7.20
5 9.00
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!What is the range of temperatures in the data STEM AND LEAF!
HELPPPPPPP
The range of temperatures in the data stream and leaf is given below.
What is tempreture?Tempreture is the physical quantity that expresses quantitatively perception of hotness and coldness.
Combined
Mean:32.785714285714 or rounded 32.8
Median:29
Mode:25 and 29
Range:42
Minneapolis
Mean:28.857142857143 or rounded: 28.9
Median:25
Mode:None
Range:23
Columbus
Mean:36.714285714286 or rounded: 36.7
Median:29
Mode:29
Range:37
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1) Triangle ABC has vertices A(6,2), B(3,4), and C (2,8). If the triangle is rotated
counterclockwise, what are the coordinates of the image A'B'C'?
90°
2) Which transformation(s) preserve congruence?
3) Which transformation(s) produce similar figures that are not congruent?
1) image of the coodinate A(6,2) be A'(-2,6)
image of the coodinate B(3,4) be B'(-4,3)
image of the coodinate C(2,8) be C'(-8,2)
2) A transformation that preserves congruence is called an isometry
3) A dilation would produce a similar figure.
What do you mean by transformation?
Transformation is a collective term for four specific ways of manipulating the shape and position of points, lines, or geometric figures. The original shape of the object is called the master, and the final shape and position of the object is the image under transformation. There are four types of transformations in mathematics
1) When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x).
Therefore, image of the coodinate A(6,2) be A'(-2,6)
image of the coodinate B(3,4) be B'(-4,3)
image of the coodinate C(2,8) be C'(-8,2)
2) A transformation that preserves congruence is called an isometry. In other words, a transformation in which the Image and Pre-Image have the same side lengths and angle measurements. Translations, reflections, and rotations are isometries.
3) A dilation would produce a similar figure.
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