Answer:
1. C
2. C
3. E
Step-by-step explanation:
I added photos of my solutions
The solution to the system of equations is x = 1/2 and y = 3/2.
The solution is x = 1 and y = 4.
The solution to the system of equations is (x, y) = (2, 1/2).
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Part 1:
To solve the system of equations:
3x + y = 3
x + y = 2
We can solve for one of the variables in one of the equations and substitute it into the other equation.
For example, we can solve for y in the second equation:
y = 2 - x
Then we can substitute this expression for y into the first equation:
3x + (2 - x) = 3
Simplifying this equation gives:
2x + 2 = 3
Subtracting 2 from both sides gives:
2x = 1
Dividing both sides by 2 gives:
x = 1/2
Now we can use this value of x to find the value of y:
y = 2 - x
y = 2 - 1/2
y = 3/2
Therefore, the solution to the system of equations is:
x = 1/2 and y = 3/2.
Part 2:
Substitute the first equation into the second equation:
x + 3y = 13
(y - 3) + 3y = 13 (substituting x = y - 3)
4y - 3 = 13
4y = 16
y = 4
Now substitute y = 4 into the first equation to solve for x:
x = y - 3
x = 4 - 3
x = 1
Therefore, the solution is x = 1 and y = 4.
Part 3;
To solve the system of equations:
x + 2y = 3 ...(1)
3x - 2y = 5 ...(2)
We can add the equations vertically to eliminate the y-variable:
(1) + (2): x + 2y + 3x - 2y = 3 + 5
Simplifying: 4x = 8
Dividing both sides by 4: x = 2
Now, we can substitute x = 2 into either equation to solve for y.
Let's use equation (1):
x + 2y = 3
2 + 2y = 3
Subtracting 2 from both sides: 2y = 1
Dividing both sides by 2: y = 1/2
Therefore, the solution to the system of equations is (x, y) = (2, 1/2).
Thus,
The solution to the system of equations is x = 1/2 and y = 3/2.
The solution is x = 1 and y = 4.
The solution to the system of equations is (x, y) = (2, 1/2).
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The price of a necklace was reduced from $30 to $21. By what percentage was the price of the necklace reduced
Answer:
= 30% decrease
Laura wants to know the volume of her gold ring in cubic centimeters. She gets a rectangular glass with a base 7\text{ cm}7 cm7, start text, space, c, m, end text by 4.5\text{ cm}4.5 cm4, point, 5, start text, space, c, m, end text and fills the glass 8.8\text{ cm}8.8 cm8, point, 8, start text, space, c, m, end text high with water. Laura drops her gold ring in the glass and measures the new height of the water to be 9.2\text{ cm}9.2 cm9, point, 2, start text, space, c, m, end text. What is the volume of Laura's ring in cubic centimeters
The volume of her gold ring in cubic centimeters will be 12.6 cubic centimeters.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H.
a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.
Then the volume of the prism is given as
V = L x W x H
She gets a rectangular glass with a base of 7 cm by 4.5 cm and fills the glass 8.8 cm high with water.
Laura drops her gold ring into the glass and measures the new height of the water to be 9.2 cm.
Then the volume of her gold ring in cubic centimeters will be
V = 7 × 4.5 ×(9.2 - 8.8)
V = 7 × 4.5 × 0.4
V = 12.6 cubic centimeters
The volume of her gold ring in cubic centimeters will be 12.6 cubic centimeters.
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Can
you make a square out of 56 blocks?
Answer:
No
7x7=49 and 8x8=64, 56 does not have an exact square root
what is 7a to the power of 2 - 2a to the power of 2
Answer:
5a to the power of 2 ofc
Step-by-step explanation:
Answer:
5a²
Step-by-step explanation:
It is 5a² because 7a² and 2a² are like terms, so we are able to subtract them. If we subtract 7-2 we get 5. It is the same thing, 7a²-2a² is equal to 5a²
Hope this helps!
how many cubic meters are there in a cubic centimeter?
There are 1e-6 cubic meters in a cubic centimeter.
A centimeter is a metric unit of measurement used for measuring the length of an object. It is written as cm. It can also be defined as the unit of length in the International System of Units (SI), the current form of the metric system. It is equivalent to 1/100 meters.
A meter has 100 centimeters.
10 millimeters make one centimeter.
The centimeter can be written as cm.
While calculating the surface area of an object, the unit of measurement becomes cm².
While measuring the volume of an object, the unit of measurement becomes cm³.
Thus, There are 1e-6 cubic meters in a cubic centimeter.
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Only the smartest person can help me with Algebra 2! Answer how many you can!
Part 3
Using the concepts of domain and range of functions, we have that:
10. The range is y ≥ 2.
11. The domain is all real numbers, the range is y ≤ 3, and it is a function.
12. The domain is (-4,3], and the range is (-5,5).
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input. In a graph, it is represented by the values of x.The range of a function is the set that contains all the values of the output. In a graph, it is represented by the values of y.Hence, for these problems:
10. The range is y ≥ 2.
11. The domain is all real numbers, the range is y ≤ 3, and it is a function.
12. The domain is (-4,3], and the range is (-5,5).
In item 11, we have that it is a function because it has no vertically aligned points, that is, each value of x is associated with only one value of y.
In item 12, the open intervals are due to the open circles at the extremes of the domain and the range on the graph.
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If the APR on a credit card is 25.2%, what is the monthly interest rate?
answer this question for 30 points and brainilest
Answer:
Volume of left side cylinder will be less than the volume of right side cylinder.
Step-by-step explanation:
Volume of a cylinder is given by the formula,
Volume = πr²h
Here, r = radius of the circular base
h = Height of the cylinder
Volume of the left hand cylinder = π(b)²a
Volume of the right hand cylinder = π(a)²b
It's given in the question that a > b
Let the value of a = 3 and b = 2
Then the volume of left hand cylinder = π(2)²(3)
= 12π
Similarly, volume of right hand cylinder = π(3)²(2)
= 18π
Therefore, volume of left side cylinder will be less than the volume of right side cylinder.
Solve using addition or subtraction.
6=m-7/8
It’s a fill in the blank. Here are the options to match with:
any, counting, heights, measuring, certain, density, histogram, number
Thanks!
Answer:
1.heights
2. counting
3. certain
4. number
Step-by-step explanation:
Hope this helps please mark me the brainliest.
Assume you are running gradient descent, what will happen when the learning rate α is too small or too large? If you run gradient descent for 30 iterations with a=0.5 and compute J(θ) after each iteration. You find that the value of J(θ) increases over time. Based on this, how do you adjust the value of α to solve the problem?
The learning rate in gradient descent determines the step size and should be not too small or too large, as it can cause the algorithm to converge slowly or overshoot the minimum; adjusting the value of the learning rate can fix the problem, but the optimal value depends on the problem and data set.
According to the given information:
When running gradient descent,
The learning rate α determines the step size taken in each iteration toward the optimal solution.
If α is too small, the algorithm will take small steps and will converge slowly, or may even get stuck in a local minimum.
If α is too large, the algorithm may overshoot the minimum and diverge, or bounce back and forth without converging.
In the scenario described, the learning rate α of 0.5 appears too large, causing J(θ) to increase over time.
This suggests that the algorithm is not converging and is overshooting the minimum.
To fix this,
The value of α can be adjusted by reducing it to a smaller value,
Such as 0.1 or 0.01.
This should allow the algorithm to take smaller steps towards the minimum and eventually converge to a lower value of J(θ).
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regardless of which statistical test i conduct, my critical value is
The critical value for a statistical test depends on several factors, including the significance level (α) chosen for the test, the specific test being conducted, and the degrees of freedom associated with the test.
Different statistical tests have different critical values associated with them. For example, in a t-test, the critical value is determined based on the degrees of freedom and the desired significance level.
In a chi-square test, the critical value is determined based on the degrees of freedom and the desired significance level as well.
To determine the critical value for your specific statistical test, you need to specify the test you are conducting and the significance level you have chosen.
Then, you can refer to the appropriate statistical table or use software or online calculators to find the critical value associated with your test.
Please provide more details about the specific statistical test you are conducting and the significance level you have chosen, so I can assist you in determining the corresponding critical value.
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A loan of 1400 is to be repaid with quarterly payments at the end of each quarter for 3 years. If the rate of interest charged on the loan is 8% convertible semiannually, find the amount of each quarterly payment. (nearest cent)
The amount of each quarterly payment is approximately $146.73.
To calculate the amount of each quarterly payment, we can use the formula for the quarterly payment of an annuity
P = \(A * (1 - (1 + r)^(-n)) / r,\)
where P is the quarterly payment, A is the loan amount, r is the quarterly interest rate, and n is the number of quarters.
First, we need to convert the semiannual interest rate of 8% to a quarterly interest rate. Since there are two quarters in each semiannual period, the quarterly interest rate would be 8% divided by 2, which is 4%.
Next, we substitute the values into the formula
P = \(1400 * (1 - (1 + 0.04)^(-12)) / 0.04\),
= \(1400 * (1 - (1.04)^(-12)) / 0.04,\)
≈\(146.73.\)
Therefore, the amount of each quarterly payment is approximately $146.73.
An annuity is a series of regular payments made over a specific period of time. In this case, the loan of $1400 is to be repaid with quarterly payments. The interest on the loan is charged at a rate of 8% convertible semiannually, which means the interest is compounded twice a year. To determine the amount of each quarterly payment, we use the annuity formula and the quarterly interest rate, which is obtained by dividing the semiannual interest rate by 2. By substituting the values into the formula, we find that each quarterly payment amounts to approximately $146.73.
An annuity payment consists of both principal and interest components. In the beginning, a larger portion of each payment goes towards paying off the interest, while the remaining portion is applied towards the principal. As the loan is gradually repaid, the interest portion decreases, and the principal portion increases. The formula allows us to determine the fixed amount required for each payment, ensuring that the loan is fully repaid within the specified period.
It's important to note that the calculated amount of $146.73 is an approximation, and the actual payment may differ slightly due to rounding or any additional fees associated with the loan.
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Using the following figure, determine the measure of.
Answer:
x=36
Step-by-step explanation:
Assuming both shapes are the same, we know the entire angle is 108. Basically we just divide 108 with 3 and you have your answer (36).
The population of Mussman, Maine is 13,500 and grows at an annual rate of 6.5%. How long will it take the population of Mussman, Maine to reach 27,000 residents?
Please specify the steps
The year it will take Mussman to reach a population of 27,000 resident is 10.7 years
What is population growth?Population growth is the increase in the number of people in a population or dispersed group.
We use exponential function when calculating increase in population per time
p(t) =p(o) e^kt
27000 = 13500 e^0.065t
e^0.065t = 27000/13500
0.065t = ln 2
0.065t = 0.693
t = 0.693/0.065
t = 10.7 years
therefore it will take 10.7years for the resident of Mussman to reach a population of 27000
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Twenty seven decreased by three times a number is the same as 7 times the sum of the number plus 1. What is the number?
Answer:
2.6
Step-by-step explanation:
Let the number be x
27-3x= 7x+1
26=10x
x=2.6
among a student group 49% use chrome, 20% internet explorer, 10% firefox, 5% mozilla, and the rest use safari. what is the probability that you need to pick 7 students to find 2 students using chrome?
The probability that you need to pick 7 students to find 2 students using Chrome is approximately 65%.
To calculate this, we can use the formula P = (n!/r!(n-r)!) * p^r * q^(n-r), where n = 7 (number of students to pick), r = 2 (number of Chrome users to find), p = 0.49 (probability of Chrome user), and q = 0.51 (probability of non-Chrome user). By plugging the numbers into the equation, the probability of finding 2 Chrome users is 0.649.
In other words, if you randomly pick 7 students from the group, there is a 65% chance that you will find 2 students using Chrome.
This is because 49% of the group use Chrome, so if you pick 7 students randomly, the probability of picking 2 Chrome users is high.
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Simplify.
(8 + 14m) + m
O
8 + 15 m
23 m
9 + 14 m
22 m
Answer:
Hi there!
Your answer is:
A) 8+15m
Step-by-step explanation:
Since we can't do anything within the parentheses, they go away.
8+14m+m
Combine like terms
8+15m
Hope this helps
Answer:
8 +15m
Step-by-step explanation:
PLEASE HELP!!!!!! A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 9 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?
15 over 20
11 over 20
6 over 20
5 over 20
This is the same as writing 5/20
====================================================
Explanation:
Instead of saying "9 over 20", I'll write 9/20. The same goes with the other fractions.
The 9/20 probability for red means there are 9 red out of 20 total.
Similarly, the 6/20 refers to 6 blue out of 20 total.
There are 9+6 = 15 sections that are either red or blue, but not both.
This leaves 20-15 = 5 sections for green and it leads to 5/20 as the final answer. We could reduce 5/20 to get 1/4, but it looks like your teacher doesn't want you to reduce the fraction. Sometimes it's handy to not reduce because we see that it's out of 20 spaces total.
Answer:
15/20
Step-by-step explanation:
what if there are two circles and ones shaded and the other isn’t??
Answer:
-3 < x \(\leq\) 4
Step-by-step explanation:
A closed circle means that you are including that number in the solution and an open circle means that you are not including that number in the solution. In this situation 4 is a solution, but -3 is not.
Helping in the name of Jesus.
What is the appropriate measure of variation (spread) for these data?
4 7
2 3
4 2
1 3
9 8
5 1
3 2
3 2
4 3
6 5
The appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.
The appropriate measure of variation (spread) for these data is the standard deviation. Standard deviation is a measure of how much the data values vary from the mean (average) of the data set. It is calculated by taking the square root of the variance, which is the average of the squared differences between each data value and the mean.
To calculate the standard deviation for this data set, follow these steps:
1. Find the mean of the data set by adding up all of the data values and dividing by the total number of values. In this case, the mean is (4 + 7 + 2 + 3 + 4 + 2 + 1 + 3 + 9 + 8 + 5 + 1 + 3 + 2 + 3 + 2 + 4 + 3 + 6 + 5) / 20 = 3.65
2. Find the variance by subtracting the mean from each data value, squaring the result, and then finding the average of these squared differences. The variance for this data set is ((4 - 3.65)^2 + (7 - 3.65)^2 + (2 - 3.65)^2 + ... + (6 - 3.65)^2 + (5 - 3.65)^2) / 20 = 5.2275
3. Take the square root of the variance to find the standard deviation. The standard deviation for this data set is sqrt(5.2275) = 2.287
Therefore, the appropriate measure of variation (spread) for these data is the standard deviation, which is 2.287.
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Using the table below, what is Esmeralda's take-home pay?
Answer:
THE ANSWER IS $40,260
Step-by-step explanation:
I got it Wrong on APEX. That's my explanation \ _O_/
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
The length of the segment indicated is 22.2
How to determine the lengthTo determine the length, we need to know that Pythagorean theorem states that the square of the hypotenuse side of a triangle is equal to the sum of the squares of the other two sides of that triangle
This is represented as;
a²= b² + c²
Such that the parameters are;
a is the hypotenuseb is the oppositec is the adjacentNow, substitute the values, we get;
x² = 20² + 9. 7²
Find the squares, we have;
x² = 400 + 94. 09
add the values, we get;
x² = 494. 09
Find the square root value of both sides, we get;
x = 22. 3
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Jennifer made these measurements on ABC,BC must be-?
Answer:
between 10 and 12
Step-by-step explanation:
Given the measure of angles:
m∠B = 70°
m∠C = 60°
m∠A = 50°
We know m∠B = 70° because the sum of interior angles in a triangle is equal to 180°.Following this information, since the side lengths are directly proportional to the angle measure they see:
Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.
Angle C is the smallest angle, so the side AB is the shortest side.
Therefore, side BC must be between 10 and 12 inches.
Please help 13 points geometry!!
1, 140 °
2, 40°
3, 100 °
4, 100°
5, 40°
6, 90 °
7, 120 °
8, 130 °
Step-by-step explanation:
1, BOA IS EQUAL TO FOH = 140°
2, FOE EQUAL TO BOA = BOA = 40° = FOE = 40°
3, BOA° + GOF° =40° + 60° = 100 °
4, GOE = BOC WHICH MEAN GOE = 100° = BOC = 100°
5, COD = HOG =40 °
6, EOD= AOG = 90°
7, AOD = GOE + COD = 100° + 40 ° = 140°
8, BOG = 140 °
a website password must include at least 5 letters and 5 numbers. how many ways can you arrange 5 letters from 26 for your password, if the letters must all be distinct?
You arrange 5 letters in 7893600 ways
How many ways can you arrange 5 lettersFrom the question, we have the following parameters that can be used in our computation:
Letters to use = 5
Total available letters = 26
The letters are distinct
This means that the letters cannot be repeated
So, we have
First = 26, Second = 25 ....... Fifth = 22
Using the above as a guide, we have the following:
Ways = 26 * 25 * 24 * 23 * 22
Evaluate
Ways = 7893600
Hence, the arrangement is 7893600
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Solve using elimination. -2x+2y=2, 2x-y=4.
Answer:
y=6
x=5
Step-by-step explanation:
x=(y+4)/2
-2(y+4)/2+2y=2
-y-4+2y=2
y-4=2
y=6
x=(6+4)/2
x=5
Will 5 ÷ 0.4 be rational or irrational? Why?
A. Rational. An irrational number divided by an irrational number is always rational.
B. Rational. A rational number divided by a rational number is always rational.
C. Irrational. A rational number divided by a rational number is always irrational.
D. Irrational. An irrational number divided by a rational number is always irrational.
Answer:
5 ÷ 0.4 is rational number
Step-by-step explanation:
B. Rational. A rational number divided by a rational number is always rational.
Rational. A rational number divided by a rational number is always rational thus option (B) is correct.
What is an irrational number?Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.
In another word, irrational numbers are those numbers that can not terminate.
As per the given division,
5 ÷ 0.4
The number 5 can be written as 5/1 where 5 and 1 both are integers thus it will be a rational number.
The number 0.4 can be written as 0.4/1 where 0.4 and 1 both are integers thus it will be a rational number.
The division of two rational numbers is always rational.
Hence "Rational. A rational number divided by a rational number is always rational".
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Write in figures;Nine million twenty thousand four hundred and six and twenty seven thousandths.
Answer:
9,020,406.27
Step-by-step explanation:
Answer:
9,020,406.27
Step-by-step explanation:
Suppose a particle's position is given by f (t) = t^4, where t is measured in seconds and f(t) is given in centimeters. What is the velocity of the particle when t = 3? Select one: a. v = 81 cm/sec b. v= 108 cm/sec c. v = 324 cm/sec d. v= 1728 cm/sec
To find the velocity of the particle at t = 3, we need to take the derivative of the position function f(t) with respect to time. f(t) = t^4
Taking the derivative with respect to time:
f'(t) = 4t^3
Now, we can substitute t = 3 into the derivative to get the velocity at t = 3:
f'(3) = 4(3)^3 = 108 cm/sec
Therefore, the correct answer is b. v= 108 cm/sec.
It is important to note that velocity is the rate at which an object's position changes with respect to time. It is a vector quantity that includes both magnitude (speed) and direction. In this case, since the position function is only given in one dimension (centimeters), the velocity is simply the speed of the particle at a given time.
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