Answer
I think it's acute scalene triangle
Step-by-step explanation:
All the angles are less than 90 degrees, which is acute.
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices – a, b, c, d, e – and only one correct answer. What is the probability that she answered neither of the problems correctly? Do not round your answer.
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) =
Patel can use the quadratic formula, which states that x = (-b ± √(b2 - 4ac)) / 2a, where a, b, and c are the coefficients of the quadratic equation.
Patel can use several steps to solve the quadratic equation 8x2 + 16x + 3 = 0.
Here are three options he could use:
1. Complete the square: Patel can rewrite the equation as 8(x2 + 2x + 1) = –3 + 8, which simplifies to 8(x + 1)2 = 5.
Then, dividing by 8 on both sides, he gets (x + 1)2 = 5/8.
Finally, taking the square root of both sides, he gets x = –1 ± √(5/8).
2. Use the quadratic formula:
In this case, a = 8, b = 16, and c = 3.
Plugging these values into the formula, he gets x = (-16 ± √(162 - 4(8)(3))) / (2(8)), which simplifies to x = (-16 ± √100) / 16. Thus, x = –1 ± (1/2).
3. Factor the equation: Patel can try to factor the quadratic equation by looking for two numbers that multiply to 3 and add to 16.
However, since there are no such numbers, this approach may not work.
To solve the quadratic equation 8[tex]x^2[/tex] + 16x + 3 = 0, Patel could use the following,
Divide the equation by 8 to simplify: [tex]x^2[/tex] + 2x + 3/8 = 0 2.
Use the quadratic formula, where a=1, b=2, and c=3/8: x = -b ± √([tex]b^2[/tex] - 4ac) / 2a 3.
Calculate the solutions: x = -1 ± √(4 - 3) / 2
These steps will help Patel solve the quadratic equation.
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The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk and run if the total distance is 24 laps?
They will walk 7 laps and run 17 laps.
They will walk 15 laps and run 9 laps.
They will walk 9 laps and run 15 laps.
They will walk 6 laps and run 18 laps.
The participants will walk 3 + 21 = 24 laps and run 15 laps if the Total distance is 24 laps.
The participants will walk and run if the total distance is 24 laps, we need to first find the values of A, B, C, and D. We can use the information given in the table to set up a system of equations:
A + B = 24 (total distance is 24 laps)
3 + B = C (total is the sum of walking and running laps)
5 + 10 = D (total running laps is 15)
Simplifying the equations, we get:
B = 24 - A
C = 3 + B
D = 15
Substituting the value of B in terms of A into the equation for C, we get:
C = 3 + (24 - A)
C = 27 - A
Now we can use the equation for the total distance to find the value of A:
A + (27 - A) = 24
27 = 24 + A
A = 3
Substituting A = 3 into the equations for B and C, we get:
B = 24 - 3 = 21
C = 27 - 3 = 24
Therefore, the participants will walk 3 + 21 = 24 laps and run 15 laps if the total distance is 24 laps.this solution is inconsistent with the values given in the table. So, there might be a mistake in the table or the problem statement. None of the given options match with this solution, but based on the given table, the closest option is: "They will walk 6 laps and run 18 laps." However, this solution is not consistent with the system of equations derived from the table.
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At summer camp, 40 students are divided in two groups for swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. Outcome Frequency Swimming 16 Hiking 24 Compare the probabilities and determine which statement is true. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 24 over 40. The theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40. The theoretical probability of swimming, P(swimming), is 16 over 24, but the experimental probability is one half. The theoretical probability of swimming, P(swimming), is 24 over 40, but the experimental probability is one half.
The correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.
We know that there are 40 students at summer camp who are divided into two groups for either swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. The outcome frequency for swimming is 16 and for hiking is 24.
To compare the probabilities, we need to first understand the difference between theoretical probability and experimental probability. Theoretical probability is the expected probability of an event occurring based on mathematical calculations and assumptions, whereas experimental probability is the actual observed probability of an event occurring based on data from experiments or observations.
Option 1 states that the theoretical probability of swimming is one half, but the experimental probability is 24 over 40. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is false.
Option 2 states that the theoretical probability of swimming is one half, but the experimental probability is 16 over 40. This statement is correct because the theoretical probability of swimming is 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is true.
Option 3 states that the theoretical probability of swimming is 16 over 24, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 16 over 24, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
Option 4 states that the theoretical probability of swimming is 24 over 40, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 24 over 40, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
In conclusion, the correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.
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Power companies typically bill customers based on the number of kilowatt-hours used during a single billing period. A kilowatt is a measure of how much power (energy) a customer is using, while a kilowatt-hour is one kilowatt of power being used for one hour. For constant power use, the number of kilowatt-hours used is calculated by kilowatt-hours = kilowatts • time (in hours). Thus, if customers use 5 kilowatts for 30 minutes, they’ll have used 5 kilowatts • 1/2 hours = 2.5 kilowatt-hours.
Suppose the power use of a customer over a 30-day period is given by the continuous function P = f(t), where P is kilowatts, t is time in hours, and t = 0 corresponds to the beginning of the 30 day period.
A. Approximate, with a Riemann sum, the total number of kilowatt-hours used by the
customer in the 30-day period, and explain why your Riemann sum is an approximation of the desired property.
B. Derive an expression representing the total number of kilowatt-hours used by the
customer in the 30-day period, and explain your reasoning. (This expression should not be an approximation.)
C. Consider the following table of data for the function f(t)
f(t)
0 2.3
1 2.5
2 2.1
3 3.9
4 3.6
5 5.5
6 4.5
7 5.6
8 1.2
9 1.0
10 1.8
Recall that f(t) represents the number of kilowatts being used by a customer at time t hours from the beginning of the billing period. Estimate the number of kilowatt-hours the customer uses in this 10-hour period, and explain your method.
Answer:
30 wats due to electrocorrespond period of time
Step-by-step explanation:
according to plan b ratio 89 quart to a million
Power usage over time can be approximated by a Riemann sum or computed exactly by integrating the function representing the power usage. For the given 10-hour data, the total power usage can be estimated by summing up the products of the power usage and time interval.
Explanation:The power use of a customer over a 30-day period is given by a continuous function P = f(t), and we are asked to find the total number of kilowatt-hours used by the customer using Riemann sums and an exact formula.
A Riemann sum would be an approximation of the definite integral of the function P(t) from 0 to the total hours in a 30-day period, which can be obtained by adding up the products of the function values and the time intervals over the period. However, this is only an approximation because the actual power usage P may change within each time interval.The total number of kilowatt-hours can be computed exactly, without approximation, by integrating the function P(t) from 0 to the total hours in a 30-day period. This would give the exact total power usage because the integral essentially sums up all the instantaneous power usage over time, taking into account all the variations of P within each time interval.For the given power usage data over a 10-hour period, one can estimate the total power usage by using the Riemann sum, which is the sum of the products of the given power usages and the respective time intervals, i.e., 1 hour each.Learn more about Power usage calculation here:https://brainly.com/question/32137172
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Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 2,400 bacteria selected from this population reached the size of 2,489 bacteria in one and a half hours. Find the hourly growth rate parameter.
Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
Hourly growth rate parameter is 1.97%
Given,
A sample of 2,400 bacteria selected from this population reached the size of 2,489 bacteria in one and a half hours.
Let,
y = population after given time x
x = time of passage in hours
p = size of initial population
k = constant for growth rate
[tex]y = pe^{kx}[/tex]
Substitute the values of variables,
2489 = 2400 e^1.5k
1.03 = e^1.5k
Take Ln on both sides to remove the exponent,
ln(1.03) = ln(e^1.5k)
0.029 = 1.5k
k = 0.029/1.5
k = 0.0197
k = 1.97%
Thus with the help of exponent the hourly growth rate parameter can be found out.
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Calculator
What is the value of x in the triangle?
Enter your answer in the box. Round your final answer to the
nearest hundredth.
URGENT
Answer:
23.78 cm
Step-by-step explanation:
size of the missing angle is (180 - 90 - 18) = 72°
angle 72° is opposite the side x. angle 90° is opposite side 25.
x/sin 72 = 25/sin 90
multiply both sides by sin 72:
x = (25 X sin 72) / sin 90
= (23.78) / 1
= 23.78 cm
What is the solution of the system?y = -8x-2 and y = -6x + 4
[tex]y=-8x-2\\y=-6x+4[/tex]
Subtracting the second equation from the first one, we get:
[tex]-2x-6=0\\2x=-6\\x=-3[/tex]
[tex]y=-8\cdot(-3)-2=24-2=22[/tex]
Therefore [tex](-3,22)[/tex].
PLEASE PLEASE HELP WILL MARK BRAINLIST!!!!!!!!!!!!
Answer:
[tex]y \leqslant x[/tex]
What is the standard deviation of the distribution of the sample means (sampling distribution) for all possible samples of size 81 that could be drawn from the parent population?
The larger the sample size, the smaller the SEM, and the more precise our estimates of the population mean become. However, it is important to note that the SEM only reflects the amount of error due to chance factors, and does not account for any bias or systematic error in the sampling process.
The standard deviation of the distribution of the sample means (sampling distribution) for all possible samples of size 81 that could be drawn from the parent population is known as the standard error of the mean (SEM). The SEM is calculated by dividing the population standard deviation by the square root of the sample size. Therefore, if the population standard deviation is known, we can calculate the SEM by dividing it by the square root of 81. If the population standard deviation is unknown, we can estimate it using the sample standard deviation.
The SEM represents the amount of variability in the sample means that we would expect to see if we repeatedly drew samples of size 81 from the same population. In other words, the SEM tells us how much error we would expect to see in our sample means due to chance factors alone.
The SEM is an important measure in inferential statistics because it helps us to calculate confidence intervals and to perform hypothesis tests. In general, the larger the sample size, the smaller the SEM, and the more precise our estimates of the population mean become. However, it is important to note that the SEM only reflects the amount of error due to chance factors, and does not account for any bias or systematic error in the sampling process.
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Express 72% as a fraction in simplest form
Answer:
18/25
Step-by-step explanation:
72 per cent =72/100
=36/50
=18/25
Look at the Box and Whisker Plot below, then identify the parts of the plot.
Identify:
Minimum:
Maximum:
Median:
First Quartile:
Third Quartile:
Interquartile Range:
Answer:
For the Box and Whisker Plot, these are the answers for all of the parts of the plot:
Minimum: The minimum is the lower end of the whisker which is 2
Maximum: The maximum is the upper end of the whisker which is 16
Median: The median is the thick line you see that goes down through the box plot which is the number 8
First Quartile: The lower end line of the box plot which is 4
Third Quartile: Known as the Second Quartile, this is the upper end line of the box plot which is 14
Interquartile Range: The Interquartile Range is the numbers that starts from the First Quartile to the Third Quartile which is the numbers from 4 to 14
Therefore, the answers are 2, 16, 8, 4, 14, and 4-14. Hope this helps with your homework or assignment!
-5th Grade Honors Student who learned this yesterday
Find the x-intercept and y-intercept of the line −5x + 5y = 15. Use the intercepts to graph the equation.
The graph of the line will be a straight line that slopes downward from left to right, intersecting the x-axis at -3 and the y-axis at 3.To find the x-intercept and y-intercept of the line −5x + 5y = 15, we can set either x or y to zero and solve for the other variable.
For the x-intercept, we set y = 0:
−5x + 5(0) = 15
−5x = 15
x = -3
So the x-intercept is -3.For the y-intercept, we set x = 0:
−5(0) + 5y = 15
5y = 15
y = 3
Therefore, the y-intercept is 3.
Now let's plot these intercepts on a graph. The x-intercept is at -3 on the x-axis, and the y-intercept is at 3 on the y-axis. We can connect these two points to draw the line.
By connecting the x-intercept (-3) and the y-intercept (3) on the graph, we obtain a straight line that represents the equation −5x + 5y = 15.
Note that the line passes through the points (-3, 0) and (0, 3).
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L1: x-9 y=-3 L2: y=7 x-6
The solutions for the system of linear equations are:
x = 57/62y = 0.4How to solve the system of equations?Here we want to solve a system of linear equations, these are:
x - 9y = -3
y = 7x - 6
To solve this system, we can use the substitution method, to do so, just replace the variable that is already isolated (y on the second equation) into the first one.
Then we will get:
x - 9*(7x - 6) = -3
We can solve this to get:
x - 63x + 54 = -3
-62x = -3 - 54
x = 57/62
And the value of y is:
y = 7x - 6
y = 7*(57/62) - 6 = 6.4 - 6 = 0.4
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Question:
Find the interception point between lines L1 and L2:
L1: x-9 y=-3 L2: y=7 x-6
Annabel's water bottle holds 6 cups of water. How many fluid
ounces does it hold?
Annabel's water bottle can hold [tex]48[/tex] fluid ounces of water.
To determine the number of fluid ounces in 6 cups of water, we need to know the conversion rate between cups and fluid ounces.
In the United States customary system, there are [tex]8[/tex] fluid ounces in [tex]1[/tex] cup. Therefore, we can use this conversion rate to calculate the number of fluid ounces in [tex]6[/tex] cups.
Since [tex]1[/tex] cup is equal to [tex]8[/tex] fluid ounces, we can set up a proportion:
[tex]\(\frac{1 \text{ cup}}{8 \text{ fluid ounces}} = \frac{6 \text{ cups}}{x \text{ fluid ounces}}\)[/tex]
By cross-multiplication, we find:
[tex]\(1 \text{ cup} \cdot x \text{ fluid ounces} = 8 \text{ fluid ounces} \cdot 6 \text{ cups}\)[/tex]
Simplifying the equation:
[tex]\(x \text{ fluid ounces} = 48 \text{ fluid ounces}\)[/tex]
Therefore, Annabel's water bottle holds [tex]48[/tex] fluid ounces of water.
To convert [tex]6[/tex] cups of water to fluid ounces, we use the conversion rate of 1 cup equals [tex]8[/tex] fluid ounces. Setting up a proportion, we find that [tex]6[/tex] cups is equal to [tex]48[/tex] fluid ounces. Hence, Annabel's water bottle can hold [tex]48[/tex] fluid ounces of water.
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What is the value of x?
URGENT
Answer:
14
Step-by-step explanation:
angle 90° is opposite the side x. angle 45° is opposite side 7√2.
x/sin 90 = (7√2)/sin 45
multiply both sides by sin 90 (sin 90 is = 1).
x = (7√2)/sin 45
= 14
that M= 2 2 1 +6 2 -X 2 1 3 find X, for M to be singular
X must be equal to 0 for M to be singular.
For M to be singular, its determinant must be zero. So, we can set up the equation:
| 2 2 1 |
| 6 2 -x |
| 2 1 3 | = 0
Expanding the determinant along the first row, we get:
2 | 2 -x |
-6 | 1 3 | = 0
Multiplying the determinant of the 2x2 matrix by 2, we get:
4(-x - 3) - (-6)(2) = 0
Simplifying the left-hand side, we get:
-4x - 12 + 12 = 0
Solving for x, we get:
-4x = 0
x = 0
Therefore, X must be equal to 0 for M to be singular.
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Select all the correct locations on the graph
If we draw lines to join each given point to the origin, identify the points whose corresponding line has a slope that is an integer value.
(2,8)
(3,9)
(4,8)
(5,8)
(6,7)
(7,6)
Find the value of a in parallelogram STUV a+6 a+17 a
Hello
S a T
2a + 6 / /
/ / a + 17
/ /
V a U
you want ST = VU (it's good) and SV = TU (not good)
2a + 6 = a + 17
2a - a = 17 - 6
a = 9
Use the information in the table below to calculate the Revenue Rate Variance for the practice.
Round answers to two decimal places and use appropriate units.
Givens
Budgeted
Actual
Visits
2,000
2,210
Revenue
$150,000.00
$175,000.00
Expenses
$85,000.00
$91,000.00
The Revenue Rate Variance for the practice is $9,615.90, which means that the practice generated $9,615.90 more revenue than budgeted for each visit.
To calculate the Revenue Rate Variance for the practice, we first need to calculate the budgeted and actual revenue rates. The revenue rate is the revenue per visit.
Budgeted revenue rate = Budgeted revenue / Budgeted visits
= $150,000 / 2,000
= $75 per visit
Actual revenue rate = Actual revenue / Actual visits
= $175,000 / 2,210
= $79.19 per visit
Next, we can calculate the Revenue Rate Variance using the following formula:
Revenue Rate Variance = (Actual revenue rate - Budgeted revenue rate) x Actual visits
= ($79.19 - $75) x 2,210
= $9,615.90
Therefore, the Revenue Rate Variance for the practice is $9,615.90, which means that the practice generated $9,615.90 more revenue than budgeted for each visit.
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What is 64x625 in standard form
Help Quickly! The table shows bear population data gathered by researchers in the Wild Horse Forest. If the total bear population was 2,008 bears in May 2002, estimate the number of total bears counted in 2002 to complete the chart. (Zoom click the picture to see it better)
The estimated total number of bears in 2002 will be 1060.
How to estimate the population sizeTo estimate the population size, the mark-recapture formula is applied. This formula is used to determine the unknown population size. First, a selected sample from the population of bears has the number marked initially and the total population. The formula is: N = MC/R
In the given question,
M = 2008
C = 38
R = 72
So, N = (2008)(38)/72
= 76304/72
1059 which is estimated at 1060.
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A group of students was asked about the number of flights they have taken. The data is shown in the line plot.
Which of the following best describes the spread of the data? Explain its meaning in this situation.
A. The data has a range of 5, which is a wide spread. This means the greatest number of flights was 5.
B. The data has a range of 15, which is a narrow spread. This means that there is not a large difference in the number of flights taken by the students.
C. The data has a range of 5, which is a narrow spread. This means that most of the students have taken a similar number of flights.
D. The data has a range of 15, which is a wide spread. This means that there is a difference of 15 flights between each of the students.
Option C. The best description of the spread of the data: The data has a range of 5, which is a narrow spread. This means that most of the students have taken a similar number of flights.
How to solve for the spread of the datawe have the maximum value = 15
The minimum value = 10
The range can be defined as the difference that exixts between the highest and the lowest values in a data
Hence we have 15 - 10
= 5
Therefore The data has a range of 5, which is a narrow spread. This means that most of the students have taken a similar number of flights.
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Jake hears that 60% of respondents to a recent People Magazine survey said that their favorite fast food restaurant was Taco Bell. Jake believes this is way too high, as Taco Bell just isn't that good.
A SRS of peoples' favorite fast food restaurants is conducted across multiple locations. Of the 1080 respondents, 670 say that their favorite fast food restaurant is Taco Bell.
Conduct a hypothesis test at the a = 0.10 significance level to determine whether this People Magazine survey was true or if Jake has enough evidence to
conclude it wasn't.
Jake hears that 60% of respondents to a recent People Magazine survey said that their favorite fast food restaurant was Taco Bell. Jake believes this is way too high, as Taco Bell just isn't that good.
An SRS of peoples' favorite fast food restaurants is conducted across multiple locations. Of the 1080 respondents, 670 say that their favorite fast food restaurant is Taco Bell. Therefore, based on the hypothesis test, Jake does now not have enough evidence to finish that the People Magazine survey changed erroneously.
To conduct a hypothesis take a look at this situation, we can set up the following hypotheses:
Null Hypothesis (H0): The percentage of people who recall Taco Bell as their preferred speedy meal-eating place is 60% or better.
Alternative Hypothesis (H1): The share of those who recall Taco Bell as their favorite fast food restaurant is less than 60%.
We will use the binomial test to check those hypotheses. The importance level, alpha (α), is given as 0.10, which means that we need a 90% self-assurance degree for our test.
Let's calculate the p-value based on the furnished sample information and check it in opposition to our importance stage:
Sample length (n) = 1080
Number of respondents who selected Taco Bell (x) = 670
Assuming the null hypothesis is true (p = 0.6), the expected number of respondents choosing Taco Bell is n * p = 1080 * 0.6 = 648.
We can now use the binomial distribution to calculate the p-cost:
p-price = P(X ≤ x) = Σ(C(n, x) * p^x * (1-p)^(n-x)), in which Σ is the sum from 0 to x.
Calculating this sum for x = 670, we want to evaluate the p-fee against our importance stage.
Using statistical software programs or tables, we discover that the p-price is about 0.9995.
Since the p-value (0.9995) is greater than the importance degree (0.10), we fail to reject the null speculation. With this method, there isn't enough proof to conclude that the proportion of folks who don't forget Taco Bell as their favorite speedy meals eating place is less than 60%. Therefore, based on the given pattern, Jake does now not have enough evidence to finish that the People Magazine survey changed erroneously.
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Suppose you invest $150 a month for 4 years into an account earning 8% compounded monthly.
After 4 years, you leave the money, without making additional deposits, in the account for another 23 years. How much will you have in the end?
Answer:
You will approximately have about 48,297.74
Step-by-step explanation:
Brenda sells balloon bouquets. She charges the same price for each
balloon in a bouquet. The costs for several bouquets are shown in the
table. Write an equation that relates the cost of a bouquet to the number
of balloons in the bouquet.
Number of balloons,
(x= # of balloons)
6
9
12
(Y=cost)
3
4.50
6
The equation that relates the cost of a bouquet to the number of balloons in the bouquet is: Y = 5.75x
How to determine the equation that relates the cost of a bouquet to the number of balloons in the bouquet.The bouquet with 6 balloons, the cost per balloon is:
34.50 / 6 = 5.75
We can repeat this process for each bouquet to get:
6 balloons: cost per balloon = 5.75
9 balloons: cost per balloon = 3.83
12 balloons: cost per balloon = 3.04
we can write an equation of the form: Y = kx
where Y is the cost of a bouquet,
x is the number of balloons in the bouquet, and
k is a constant that represents the cost per balloon.
To solve for k, we can use any one of the bouquets to get:
34.50 = k(6)
Solving for k, we get:
k = 5.75
Therefore, the equation that relates the cost of a bouquet to the number of balloons in the bouquet is:
Y = 5.75x
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Which of the following is equivalent to (3x+2)(3x+2)(3x-2)
Answer (3x−2)(3x+2)^2
Step-by-step explanation:
7. PART A:
Martin has 1/4 of a bag of chocolate chip cookies. The bag weighs 4 pounds. How
many pounds of cookies does he have?
The number of pounds of cookies he has is 16
Calculating how many pounds of cookies he has?From the question, we have the following parameters that can be used in our computation:
Martin has 1/4 of a bag of chocolate chip cookies. The bag weighs 4 poundsUsing the above as a guide, we have the following:
Weight = 4 pounds
Available chips = 1/4 of a bag
So, we have
Pounds = Weight /Available chips
Substitute the known values in the above equation, so, we have the following representation
Pounds = 4/(1/4)
Evaluate
Pounds = 16
Hence, he has 16 pounds of cookies
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What is the equation of the straight line with gradient 5 that passes through
(3,9)?
Give your answer in the form y=mx+c, where m and c are integers or
fractions in their simplest forms.
Answer:
y = 5x - 6
Step-by-step explanation:
the equation of a line in gradient- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
here m = 5 , then
y = 5x + c ← is the partial equation
to find c substitute (3, 9 ) into the partial equation
9 = 5(3) + c = 15 + c ( subtract 15 from both sides )
- 6 = c
y = 5x - 6 ← equation of line
The equation of the straight line with gradient 5 that passes through (3,9) is y = 5x - 6.
Explanation:To find the equation of a straight line with a given gradient, we can use the point-slope form of the equation: y - y1 = m(x - x1). In this case, the gradient is 5 and the given point is (3,9). Plugging in the values, we have:
y - 9 = 5(x - 3)
Expanding the equation, we get:
y - 9 = 5x - 15
Then, rearranging the equation to the form y = mx + c, we have
y = 5x - 6
Learn more about Equation of a straight line here:https://brainly.com/question/32765884
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In the state of TX what happens if I pass the reading staar but fail the math in 8th grade. Will I be promoted???
Answer:depend school but most schools yes
Step-by-step explanation:
It is important to pass both but some school allow only to pass one or make an exception so you should be fine but if not you will have a second chance later on or next year
I hoped this helped
also if your good with 7th grade math do you mind helping my question I uploaded thanks if you can.