The graph represents the number of hours that Walter sleeps in terms of the number of days.
Graph shows a ray plotted in quadrant 1 of a coordinate plane with Days on X-axis, and Hours of Sleep on Y-axis. The ray begins at the origin and it extends upward, slanting right, through (2, 16) and (4, 24).
Which function represents Walter’s situation?
A.
y = 6x
B.
y = 6
C.
y = 8
D.
y = 8x
Answer:
I believe D is the answer to the question above.
Step-by-step explanation:
Answer: pretty sure its D
Step-by-step explanation:
PLEASE HELP 80 POINTS!!!!!!
The sequence pattern for 3¹/₃, 3¹/₄, 3¹/₅, ...... is; f(n) = 3 + 1/(2 + n)
How to find the sequence pattern?We are given the sequence;
3¹/₃, 3¹/₄, 3¹/₅, ......
Now, we can see that;
First term is 3¹/₃.
However, for the second term, 1 has been added to the denominator.
Thus, we can suggest that the sequence pattern here is;
f(n) = 3 + 1/(2 + n)
where n is the nth term.
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Raise the monomial to a power.
-4ax³ to the power of 3.
The question was hard to follow but I tried my best. Lmk what I can do if it is in incorrect format.
Have a nice day
An airplane descends 3.5 miles to an elevation of 5.25 miles. Find the elevation of the plane before its
descent.
Before its descent, the plane was at an elevation of
miles.
Answer: The initial elevation of the plane was 8.75 miles.
Step-by-step explanation:
Suppose that the initial elevation of the plane is E.
Then the plane descends 3.5 miles.
Then the new elevation of the plane will be:
E - 3.5 miles.
Now, we know that the new elevation of the plane is 5.25 miles, then:
E - 3.5 miles = 5.25 miles.
Now we need to solve this for E.
To solve this, we can add the same number to both sides of the equation, so we can add 3.5 miles to both sides to get:
(E - 3.5 miles) + 3.5 miles = 5.25 miles + 3.5 miles
E + (3.5 miles - 3.5 miles) = 5.25 miles + 3.5 miles
E = 8.75 miles.
The initial elevation of the plane was 8.75 miles.
A principal of $3900 is invested at 4.25% interest, compounded annually. How much will the investment be worth after 5 years?
If principal of $3900 is invested at 4.25% interest, compounded annually, the investment will be worth approximately $4,756.89 after 5 years.
To calculate the future value of the investment, we use the formula for compound interest:
A = \(P(1 + r/n)^{(n*t)\)
where A is the future value, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.
In this case, P = $3900, r = 4.25%, n = 1 (compounded annually), and t = 5. Plugging these values into the formula, we get:
A = 3900(1 + 0.0425/1)⁵
A = 3900(1.0425)⁵
A ≈ $4,756.89
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Write the ratio as a fraction in simplest form.
Answer:
2/3
Step-by-step explanation:
Three and three fifth = 18/5 and 5 and two fifth = 27/5
The ratio 18/5 to 27/5 = (18/5) / (27/5)
= 18/5 ÷ 27/5
= 18/5 · 5/27
= 18/27
= 2/3
Luisa is solving an equation on the bottom of a page. The corner of the page where the
equation is written is torn off as shown below.
7(x + 3) = 7(x + 5)
Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solu-
tions. What must be the missing number?
A 2
B 14
C 21
D 35
To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:
7x + 21 = 7x + 35
Subtracting 7x from both sides, we get:
21 = 35
This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.
However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.
Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:
7(5 - 3) = 14
Therefore, the missing number is 14, which corresponds to answer option B.
(3) Last Sunday 1,675 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. Find the number of adults, teenagers, and children that visited the park. *
Answer:
adults= 938, teens = 268, children= 469
Step-by-step explanation:
line up your givens like this:
1,675 visitors = 100%
? adults = 56%
? teenagers = 16%
? children = 28%
cross-multiply
adults*100 = 1,675*56
teens*100 = 1,675*16
children*100 = 1,675*28
divide each side by 100
adults= 1,675*56/100
teens = 1,675*16/100
children= 1,675*28/100
solve
adults= 938, teens = 268, children= 469
Hope this helps!
(∪.∪ )...zzz
I need serious help, I forgot how to do this ;-; I haven't done that kind of math in a long time. How can I find the answer and what do I need to do to find the equation?
Answer:
I think your answer is 85. The 50 degree angle on the left side of E is equal to the angle to the right of E. Since both triangles have equivalent angle measurements, D and B are correspondent of one another. Add the 50 degrees to the 45 degrees to get 95. Since triangles total measurements equal 180, subtract 95 from 180 to get 85. Angle D = 85, and since Angle B is correspondent, Angle B = 85°
Suppose a test has six multiple-choice questions with four options and eight true/false questions. If a person responds to all questions, in how many ways can the 14 questions be answered?
Answer:
1,360
Step-by-step explanation:
Ok, so for the first 6 questions, if each one can be answered 4 different times, that would mean that it would be 6 to the 4th power (or 6 x 6 x 6 x 6)
That would be 1296.
Then, we have the other 8 questions, that can be answered 2 different ways. That would be represented as 8 to the second power (or 8 x 8)
That would be 64.
Now, we have to add the two numbers together to get the total. 1296+64 = 1,360
That's how you get the answer! I hope this is correct!
A large university accepts 70% of the students who apply.
Answer: 3,500
Step-by-step explanation: 70% of 20,000 is 14,000 25% of 14,000 is 3,500
WILL GIVE BRAINLIEST
Which linear graph represents a proportional relationship?
a graph of a line that passes through the points 0 comma negative 0.5 and 2 comma negative 1
a graph of a line that passes through the points 0 comma negative 4 and 1 comma negative 4
a graph of a line that passes through the points 0 comma 0 and 1 comma negative 4
a graph of a line that passes through the points 0 comma 2 and negative 1 comma negative 2
Answer:
Mark Brainliest
Step-by-step explanation:
a graph of a line that passes through the points 0 comma negative 4 and 1 comma negative 4
A graph of a line that passes through the points (0, -0.5) and (2, -1). Then the correct option is A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
From the graph, the x-intercept and y-intercept are -2 and -0.5, respectively. Then the equation of the line is given as,
x / (-2) + y / (-0.5) = 1
x + 4y = - 2
At x = 2, then the value of 'y' is given as,
2 + 4y = - 2
4y = -4
y = -1
A graph of a line that passes through the points (0, -0.5) and (2, -1). Then the correct option is A.
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PLEASE HELP!!!! I WILL GIVE BRAINLIEST
Answer:
Irrational.
Step-by-step explanation:
The square root of 35 is not a perfect integer.
Factor out the GCF in the polynomial.32x - 24 =
The Solution:
The given expression is
\(32x-24\)To factor out the Greatest Common Factor of the above expression, we have
\(8(4x-3)\)So, the Greatest Common Factor is 8.
On Monday Sylvia spent 5/12 of a day driving to her cousins house. On Friday she spent the same amount of time driving home. What fraction of day did Sylvia spent driving to her cousin’s house and back? Explain
Answer:
10
Step-by-step explanation:
which is a y-intercept of the continuous fubction in the table?
The y-intercept is basically the y-axis cutting point.
It occurs at the point where x = 0.
The table of values is given, we simply look at where x is 0.
At x = 0, y = -6
Thus,
the y intercept is y = -6.
The coordinate is (0, -6)
The first option is right.
Thoko deposited R300 every month into savings account from january 31,2020 until January 2022.How many.How many R300's did Thoko deposit into this account
Answer:
25
Step-by-step explanation:
12 months in a year
From 31 January 2020 to 31 December 2020 = 12 months
From 31 January 2021 to 31 December 2021= 12 months
include final January = 1 month
12+12+1=25
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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Adding Rational Expressions
Simplify the following sum, and show all work please.
The solution of sum of expression is,
⇒ (x² - x + 1) / (x - 1)(x - 2)
We have to given that;
Expression is,
⇒ [x /(x² - x - 2)] + [ (x - 1) / (x - 2) ]
We can simplify as;
⇒ [x / (x² - x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / (x² - 2x + x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / [ x (x - 2) + 1(x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / (x - 1) (x - 2)] + [(x - 1) / (x - 2)]
⇒ [1/(x - 2)] [ x/(x - 1) + (x - 1) ]
⇒ [1 / (x - 2)] × [ x + (x - 1)²] / (x - 1)
⇒ [x + (x - 1)² ] / [(x - 1) (x - 2)]
⇒ (x + x² - 2x + 1) / (x - 1) (x - 2)
⇒ (x² - x + 1) / (x - 1) (x - 2)
Hence, The solution of sum of expression is,
⇒ (x² - x + 1) / (x - 1) (x - 2)
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IS 7 LESS THAN OR GREATER THAN -3
Answer:
7 is greater than -3
Step-by-step explanation:
7 is positive meaning is more than any negative number
Answer:
7 is greater
Step-by-step explanation:
Graph it on a number line. 7 is on the positive side and -3 is the negative side, and positive numbers always are bigger than negative numbers.
I need a little help on this.
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Where's The Answer Im Sorry I Didn't See Anything....m
A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.
Which equation can we use the total number of penguins living in the building?
The equation that represent the number of penguins is (6 × 4) + (3 × 6) + (3 × 6) = p.
How to find the equation to represent a situation?A building has 6 homes per floor and 3 floors. On the first floor, there are 4 penguins per home. On the second and third floor, there are 3 penguins per home.
Therefore, the equation that can be used to find the total number of penguins living in the building is as follows:
Hence,
(6 × 4) + (3 × 6) + (3 × 6) = p
where
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find the midpoint of A and B where A has coordinates (-5,3) and B has coordinates (3,-1)
Let M = midpoint
M = (-5+3/2, -1+3/2)
M = (-2/2, 2/2)
M = (-1, 1)
A family will travel 225 miles
from their house in order to reach
Austin, Texas. Which inequality
can be used to find all possible
values of t, the time it will take
this family to reach Austin in
hours, if they travel at an average
speed of at least r miles per hour?
Answer:
t ≤ 225r
Step-by-step explanation:
Distance = 225 miles
Time taken = t
Average speed = r miles per hour
Recall :
Speed = distance / time
Time, = distance / speed
t = 225 miles / r
All possible values of t :
t ≤ 225r
Please use the following to answer the next 4 questions. A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces with a standard deviation of 0.35 ounces.
1.State the null and alternative hypotheses.
a. H0: µ = 0, Ha: µ > 11.88
b. H0: µ = 0, Ha: µ ≠ 11.88
c. H0: µ = 0, Ha: µ > 12
d. H0: µ = 0, Ha: µ ≠ 12
2.Specify the rejection region for = 0.01. Reject H0 if
a. t > 2.68
b. t < -2.68
c. |t| > 2.68
d. z < 2.68
3.Calculate the p-value
a. 0.01
b. 0.02
c. 0.005
d. 0.05
4. What is your conclusion?
a. Reject H0
b. Fail to reject H0
c. Reject Ha
d. Fail to reject Ha
The null and alternative hypotheses can be stated as follows:
c. H0: µ = 12, Ha: µ ≠ 12
The null hypothesis (H0) assumes that the population mean content of the bottles is 12 ounces, indicating perfect adjustment of the filling machine. The alternative hypothesis (Ha) states that the population mean content is not equal to 12 ounces, suggesting that the machine is not in perfect adjustment.
The rejection region for α = 0.01 can be specified as:
c. |t| > 2.68
This means that we would reject the null hypothesis if the absolute value of the calculated t-statistic is greater than 2.68.
To calculate the p-value, we need the t-statistic corresponding to the sample mean and standard deviation. With a sample mean of 11.88 ounces, a standard deviation of 0.35 ounces, and a sample size of 49, we can calculate the t-statistic. The p-value represents the probability of observing a sample mean as extreme as the one obtained, assuming the null hypothesis is true.
The p-value cannot be determined without the t-statistic value or the corresponding degrees of freedom.
Without the p-value, we cannot draw a definitive conclusion. To make a conclusion, we would compare the calculated t-statistic to the critical t-value based on the chosen significance level (α = 0.01). If the calculated t-statistic falls within the rejection region (|t| > 2.68), we would reject the null hypothesis. If the calculated t-statistic falls outside the rejection region, we would fail to reject the null hypothesis.
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Question 8 of 10
The following data values represent a sample. What is the variance of the
sample?x= 9. Use the information in the table to help you.
A. 5.3
B. 22.4
C. 28
D. 4.7
Answer:
Step-by-step explanation:
To calculate the variance of a sample, you need to follow these steps:
Find the mean (µ) of the sample.
Subtract the mean from each data value (x - µ).
Square each difference [(x - µ)²].
Calculate the sum of the squared differences.
Divide the sum by the sample size minus 1 (n - 1).
Let's apply these steps to the given sample:
x = 9
µ (mean) = (7 + 15 + 11 + 1 + 11) / 5 = 45 / 5 = 9
(x - µ)² : (7 - 9)² = 4, (15 - 9)² = 36, (11 - 9)² = 4, (1 - 9)² = 64, (11 - 9)² = 4
Sum of squared differences: 4 + 36 + 4 + 64 + 4 = 112
Sample size: n = 5
Variance = Sum of squared differences / (n - 1) = 112 / (5 - 1) = 112 / 4 = 28
Therefore, the variance of the sample is 28. Option C is the correct answer.
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram
Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D
Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.
Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.
Therefore, the correct answer is D. parallelogram.
It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.
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lamonte car used 5 gallons to travel 125 miles.how many gallons of gas would he need to travel 400 miles
Answer:
Step-by-step explanation:
1. Get mileage per gallon by dividing miles traveled by gallons used
\(\frac{125}{5} = 25 mpg\\\)
2. Divide miles you want to travel by the mileage per gallon you got on the first step
\(\frac{400}{25} = 16 gallons\)