Answer:
5.76
Step-by-step explanation:
Formula bh
3.2 x 1.8=5.76
Answer:5.76cm²
Step-by-step explanation:
sphenathi stated that the distance from Bloemfontein to upington is 163,8km
That's wrong. Bloemfontein and Upington are cities in South Africa that are quite far apart, and the distance between them is much greater than 163.8 km. In reality, the distance from Bloemfontein to Upington is approximately 687 km by road. It's important to ensure the accuracy of information when discussing distances between locations.
Kindly Heart and 5 Star this answer, thanks!Work out the value of the question mark in
the function machine below.
Input
-2→ ×?
Output
X-3-18
Answer:
output = -23
Step-by-step explanation:
if x = -2
output = x - 3 - 18 = -2 - 3 - 18 = -23
how many does this have
A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is the length of her shadow increasing when she is 50 ft from the base of the pole
Answer:
4 ft/sec
Step-by-step explanation:
Hope it helps
1. Which of the following are not LIKE TERMS?
a. 7
b.-12
C. 0.5
d. - 2x
Answer:
2x
Step-by-step explanation:
It is the only one with a variable.
Solve the following system of equations by graphing. Then determine whether the system is consistent or inconsistent and whether theequations are dependent or independent. If the system is consistent, give the solution.6x + 6y = -30( 3x + 3y = -15
Recall that the slope-intercept form of the equations of a line is:
\(y=mx+b\text{.}\)Taking both equations to their slope-intercept form we get:
\(\begin{gathered} 6x+6y-6x=-30-6x, \\ 6y=-30-6x, \\ \frac{6y}{6}=-\frac{30}{6}-\frac{6}{6}x, \\ y=-x-5\text{.} \end{gathered}\)\(\begin{gathered} 3x+3y-3x=-15-3x, \\ 3y=-15-3x, \\ \frac{3y}{3}=-\frac{15}{3}-\frac{3}{3}x, \\ y=-x-5. \end{gathered}\)Notice that both equations are the same, therefore the system has infinitely many solutions, therefore it is consistent and dependent.
Answer:
Equations:
\(\begin{gathered} y=(-1)x+(-5), \\ y=(-1)x+(-5)\text{.} \end{gathered}\)The system is consistent and dependent.
A solution to the system is (0,-5).
Sofia has 1800g of apples and plenty of other ingredients she wants to make apple crumble for a maximum of people what is the maximum she can make?
Help pls
She able to serve maximum 18 people.
What do you mean by maximum?
The word maximum is used to express an amount that is the greatest that is conceivable, permitted, or necessary.
According to data in the given question,
We have data in the given question:
The apple crumble of 600gm apple to serve = 6 people
Let x represents the max number of people which takes apple crumble of 1800gm apple.
6 people .......... 600g apple
X people .......... 1800g of apples
600X = 1800*6 / :600
X = 18
Therefore, she able to serve maximum 18 people.
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Does anyone can help me ? exercices 3 and 4
3) a) The domain of the rational function is x ≥ 1.
b) The domain of the rational function is all the real numbers except x = 3 and x = - 4.
4) a) The root of the rational function is 6.
b) The roots of the rational function are 4 and 1.
How to determine the domain and the roots of a rational function
Rational functions are algebraic expressions of the form P(x) / Q(x), where P(x) is the numerator and Q(x) is the denominator. 3) The domain of rational functions are the x-values that comprises P(x) except all values such that Q(x) = 0. Then, we proceed to find the domain of each function:
Case 1
The domain of P(x) = √(x - 1) is x ≥ 1 and the indetermination values of Q(x) = 2 · x is x = 0. Then, the domain of the rational function is x ≥ 1.
Case 2
The domain of P(x) = 3 is all the real numbers and the indetermination values of Q(x) = (x - 3) · (x + 4) are x = 3 and x = - 4. Then, the domain of the rational function is all the real numbers except x = 3 and x = - 4.
4) The roots of a function are all the values at which the function is evaluated such that is equal to zero.
Case 1
1 - 2 / (x - 4) = 0
[(x - 4) - 2] / (x - 4) = 0
x - 6 = 0
x = 6
The root of the rational function is 6.
Case 2
(x² - 5 · x + 4) / 5 = 0
x² - 5 · x + 4 = 0
(x - 4) · (x + 1) = 0
The roots of the rational function are 4 and 1.
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Can someone pls help
Answer:
the first choice
Step-by-step explanation:
-0.8 is the smallest number considering it is negative.
-1/3 is negative too, but it is not as much at -0.8 since when reduced to a decimal, it's would be -0.3334 (rounding up).
2/3 is not as much as 1 since it is not a whole number.
1 is the biggest number in the graph.
g (1) = type your answer.
g (-12)= type your answer
The numeric values of the graphed function are given as follows:
g(1) = 4.g(-12) = -10.How to obtain the numeric values from the graph of a function?To obtain the numeric values of a function from its graph, you can use the following steps:
Determine the x-value of the point on the graph where you want to find the corresponding y-value.Locate the point on the y-axis that corresponds to the x-value you found in step 1.Read the y-value off the y-axis at the point you located in step 2. This is the numeric value of the function at the x-value you found in step 1.When x = 1, the point with a closed circle is at y = 4, hence the numeric value is given as follows:
g(1) = 4.
When x = -12, we have that y = -10, hence the numeric value is given as follows:
g(-12) = -10.
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Name the following polynomial expression: 3x3y + 2x2y - 4y2
A. Quartic Trinomial
B. Cubic Trinomial
C. Quadratic Polynomial with 3 terms
D. Quintic Binomial with 3 terms.
Answer:
A. Quartic Trinomial
Step-by-step explanation:
Chris is playing a card game with his friends. The game uses only the four aces from a standard deck of cards. For each move, a player draws one card, replaces it, and then draws the second card.
Answer:
1/4
Step-by-step explanation:
Let's call the aces for hearts, diamonds, clubs, and spades. So, are red and \( c, s\) is black.
Since the first card is replaced, the two picks are identical. This means that the sample space is given by all the possible couple
There are 16 such couples (we have four choices for the first card, and the same four choices for the second card). Now let's compute the odds in our favor to deduce the probability of winning:
If we want a player to draw two cards of the same color, the following couples are good:
so 8 possible couples over 16. This means that a player's probability of drawing two cards of the same color is 8/16 = 1/2.
Similarly, the probability of drawing a red ace first and then a black ace is represented by the following couples:
which are 4 over the same 16 as above, thus leading to a probability of 4/16 = 1/4.
5. Find the perimeter and area
*Triangle- based prism*
Step-by-step explanation:
for the perimeter you have to say two brackets live plus height plus with plastic
1. Describe the basic characteristics of an independent
measures, or a between-subjects, research study.
The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant
Describing the basic characteristicsAn independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.
In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.
The main characteristics of an independent measures design are:
Participants are randomly assigned to one of the groups. Each group of participants is exposed to only one level of the independent variableData is collected from each group and compared to determine if there are any significant differences between the groups. The design requires a larger sample size compared to a within-subjects design because each participant can only be in one group.Read more about research study at
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a shark can swim d miles in t hours how fast can it swim
Charles buys 30 packs of pens.
There are 15 pens in each pack.
Each pack costs £4.60.
Charles sells each pen for 80p but he only manages to sell 3/5 of the pens.
How much profit did he make?
Find the area of the shaded region. Round your answer to the nearest hundredth.
Answer:
The radius of the circle is 5/√2 = (5√2)/2 inches.
Area of circle = π((5√2)/2)^2
= 25π/2 square inches
Area of triangle = (1/2)(5√2)((5√2)/2)
= 25/2 square inches
Area of shaded region
= (25/2)(π - 1) = 26.77 square inches
Triangle ABC is shown with four images that are each the result of a transformation of triangle ABC
5
D
4 +6
3+B
N
1
-5 -4 -3 -2 -14
1 2 3
4
5
X
G
S
For which triangle is one reflection necessary for the transformation to occur?
O AGHI
O AJKL
O AMNP O AQRS
Answer:
AGHI
Step-by-step explanation:
I took the quiz on edgenuity
The triangle where one reflection necessary for the transformation to occur is triangle GHI.
What is a triangle?A triangle is known to be a polygon that is made up of three edges and it is one that also has three vertices.
Note that order of arrangement of the vertices in ΔABC can be regarded as a clockwise direction. The same is with the images except for the one of ΔGHI. A reflection is needed when reversing a sequence of vertices. but only one reflection is needed to obtain an image like that of ΔGHI.
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use the venn diagram to compare and contrast the definitions of the linnaean class answers
The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.
By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.
The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.
First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.
Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.
Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.
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Alex washed 10 1/2 windows in 3/4 hour. At this rate, how many windows can he wash in one hour?
Answer:
In an hour, Alex can wash 14 windows.
Step-by-step explanation:
10 1/2 windows per 3/4 hour
per usually means a / sign because you are finding the unit rate
10.5/0.75 (I just converted everything into a fraction to make it easier)
solve:
10.5/0.75 = 14
Another way to solve:
10 1/2 / 3/4
= 21/2 * 4/3
= 21*4/2*3
= 84/6
= 14
Check:
If Alex washes 14 windows per hour, you can check by multiplying 14 by 3/4 of an hour
14*3/4
=42/4
=10.5
10.5 is the same as 10 1/2
find the surface area of the following rectangular prism
length- 12 in
height- 8 in
width- 4 in
a wooden artifact from an ancient tomb contains 40 percent of the carbon-14 that is present in living trees. how long ago, to the nearest year, was the artifact made? (the half-life of carbon-14 is 5730 years.)
1.5 half lives times 5730 years per half life is 6590 years.
What is meant by Fraction?Fraction: A number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Fraction still left equals 0.5n, where n is the total number of half lives that have already passed.
Fraction left = 0.45, thus you have 0.45 = 0.5n and by figuring out n, you get,
n = log 0.5 + log 0.45
-0.347 = -0.301n
Half lives for n = 1.15 have passed.
1.5 half lives times 5730 years per half life is 6590 years.
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6590 years are equal to 1.5 half lives times 5730 years per half life.
What does "fraction" mean?
A fraction is a number that is expressed as a quotient by dividing the numerator by the denominator. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Where n is the total number of half lives that have already occurred, the fraction of time left is equal to 0.5n.
Fraction left = 0.45, thus you have 0.45 = 0.5n and by figuring out n, you get,
n = log 0.5 + log 0.45
-0.347 = -0.301n
Half lives for n = 1.15 have passed.
1.5 half lives times 5730 years per half life is 6590 years.
Mia's office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will Mia's office have recycled?
Options:
24
21
15
18
Answer:
21
Step-by-step explanation:
average 9 pounds per three weeks
divide 9 in 3 three weeks
3 pounds per week
7 times 3 is 21
"
A particle is moving according to the position function \( s(t)=(4 t+1)^{3 / 2} \), where \( s(t) \) is measured in centimeters and \( t \) in seconds. Find the acceleration of the particle at \( t=2 seconds. find
"
The acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².
To find the acceleration of the particle at \(t = 2\) seconds, we need to differentiate the position function twice with respect to time. First, let's differentiate the position function \(s(t)\) once to find the velocity function \(v(t)\). Using the chain rule, we have:
\(\(v(t) = \frac{d}{dt}[(4t+1)^{3/2}]\)\)
To simplify the differentiation, we can rewrite the function as\(\(v(t) = (4t+1)^{3/2}\)\) . Applying the power rule, the derivative becomes:
\(\(v(t) = \frac{3}{2}(4t+1)^{1/2} \cdot 4\)\)
Simplifying further, we have:
\(\(v(t) = 6(4t+1)^{1/2}\)\)
Next, we differentiate the velocity function \(v(t)\) to find the acceleration function \(a(t)\):
\(\(a(t) = \frac{d}{dt}[6(4t+1)^{1/2}]\)\)
Using the power rule again, we get:
\(\(a(t) = 6 \cdot \frac{1}{2}(4t+1)^{-1/2} \cdot 4\)\)
Simplifying further, we have:
\(\(a(t) = 12(4t+1)^{-1/2}\)\)
Now we can find the acceleration at \(t = 2\) seconds by substituting \(t = 2\) into the acceleration function:
\(\(a(2) = 12(4 \cdot 2 + 1)^{-1/2}\)\)
\(\(a(2) = 12(9)^{-1/2}\)\)
Simplifying the expression, we have:
\(\(a(2) = \frac{12}{3} = 4\) cm/s²\)
Therefore, the acceleration of the particle at \(t = 2\) seconds is \(4\) cm/s².
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Write an equation of the line with a slope of -4 and a y-intercept of 2.
Answer:
Step-by-step explanation:
-4 x y-= 2
PLEAS HELP ASAP!!! What is the equation for the line in slope-intercept form?
Answer:
\(y = 8x\)
Step-by-step explanation:
Find slope by using Rise/Run.
Use two coordinate points that are part of the graph.
(0,0) and (2,16)
\(m = \frac{16 - 0}{2 - 0} \\ m = \frac{16}{2} \\ m = 8\)
We have the slope. We need to find the y-intercept.
From the graph, the graph passes y-axis (0,0). Therefore the y-intercept is at (0,0)
\(y = mx + b\)
\(m = 8 \\ b = 0\)
Substitute m = 8 and b = 0 in the equation.
\(y = 8x + 0 \\ y = 8x\)
A random sample of 318 students from a large college were asked if they are planning to visit family during Thanksgiving break. Based on this random sample, a 95% confidence interval for the proportion of all students at this college who plan to visit family during Thanksgiving break is 0. 78 to 0. 98. Which of the following is the correct interpretation of the confidence interval?
Group of answer choices
1)We are 95% confident that the interval from 0. 78 to 0. 98 captures the true proportion of all students at this college who plan to visit family during Thanksgiving break.
2)We are 95% confident that the interval from 0. 78 to 0. 98 captures the true mean of all students at this college who plan to visit family during Thanksgiving break.
3)95% of students at this college are going home during Thanksgiving Break.
4)None of these are correct
The correct interpretation of the given confidence interval is 95% confidence that the true proportion of all students at this college who plan to visit family during Thanksgiving break is between 0.83 and 0.93 .
Then the required answer to the given question is Option D.
Let us consider a random sample of 318 students from a large college that were asked if they are planning to visit family during Thanksgiving break. Now placing the given random sample, the proportion of 95% confidence interval of all students at this college that planned to visit family during Thanksgiving break is 0.78 to 0.98 .
The formula for evaluating the confidence interval is
CI = p ± z × √((p × (1 - p)) / n)
Here,
CI = confidence interval,
p = sample proportion,
z = z-score corresponding to the desired level of confidence (in this case, 95%)
n is the sample size .
Applying the values
CI = 0.88 ± 1.96 × √((0.88 × (1 - 0.88)) / 318)
CI = 0.88 ± 0.05
CI = (0.83, 0.93)
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An example of an irrational number is _____.
A. Start Root 16 End Root
B. Start Root 25 End Root
C. The term states the square root of 36.
D. Start Root 47 End Root
Answer:
D. Start Root 47 End Root
Step-by-step explanation:
i took the test ok
Three students have summer jobs. The proportional relationship between their pay and the hours they work is shown.
Student A:
Time (hours) 5 11
Pay (dollars) 63.75 140.25
Student B: $147.00 for 12 hours
Student C: The equation p = 12.5h, where p represents total pay and h represents hours worked
Which student is paid the most for 20 hours of work?
All three students are paid $255 for 20 hours of work
Student A, who is paid $255 for 20 hours of work
Student B, who is paid $260 for 20 hours of work
Student C, who is paid $245 for 20 hours of work
Answer:
The correct answer is, Student A, who is paid $255 for 20 hours of work.
Step-by-step explanation:
have a nice day.
For each of the following sequences, decide if it converges or not. If it converges, find its limit. 1. The sequence {an}1 given by an = n²/en. Hint: Consider some useful function f(x) and perhaps L'Hospital rule might help
The sequence {an} does not have a limit and does not approach a specific value as n tends to infinity, indicating that it diverges.
The given sequence {an}1 = n²/en can be rewritten as {an}1 = \(n^2e^(^-^n^)\). To determine if it converges, we can analyze its behavior as n approaches infinity. By applying L'Hospital's rule, we differentiate both the numerator and denominator, obtaining {an}1 = \((2n)/(e^(^-^n^))\). Applying L'Hospital's rule again, we find {an}1 = \(2/(e^(^-^n^))\).
As n tends to infinity, \(e^(^-^n^)\) approaches zero, causing the denominator to approach zero. This indicates that the limit of {an}1 does not exist. Therefore, the sequence does not converge. The numerator's growth dominates the denominator's decay, preventing the sequence from converging to a specific value as n increases.
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