So all you need to do for checking is replace the x value. So for question 11 you would take -4 and replace it with all the x's in the original equation so it would be 3/4(-4)=1/4(-4)-2
Do the same for question 12 the new equation would be 5/8(32)=1/2(32)+4
Once you answered both equations if the numbers on both side of the equal sign are the same thats how you know that the answer is correct!
Let me know if you need help and I will help you through solving each equation.
Hope this helps! Good luck!
The orange shape shape is a dilation of the black shape. What is the scale factor of the dilation
for an independent-samples t test where group 1 has 23 participants, a mean of 11.6, and a standard deviation of 3.1, and group 2 has 19 participants, a mean of 13.24, and a standard deviation of 2.9, what is the proper way to report the groups' means and standard deviations using apa formatting?
The proper way to report the groups' mean and standard deviation of independent sample t test is
Group 1 (M = 11.6, SD = 3.1) Group 2 (M = 13.24, SD = 2.9).
The APA style guide provides detailed instructions for referencing statistical test results, so in addition to following the basic format correctly, you must pay attention to details like punctuation, bracket placement, italicization, and other formatting elements.
Given, that the independent samples t test is conducted, where we have two groups.
Group 1- mean= 11.6 and SD=3.1
Group 2- mean=19 and SD=2.9
We have to write the values in the APA format for a report.
The APA formatting to represent the mean and SD of two groups is as follows, Mean and standard deviation are denoted by the letters M and SD, respectively.
Group 1 (M = 11.6, SD = 3.1) Group 2 (M = 13.24, SD = 2.9).
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Use distributive law to expand the following.
\(\sqrt{3} (\sqrt{2} +\sqrt{5} )\)
Answer:
√6 + √15
Step-by-step explanation:
√3(√2 + √5)=√3√2+√3√5
= √6 + √15
¿Cuál es la probabilidad de que una mujer que ha sido vacunada en este lapso de cuatro
meses haya recibido su segunda dosis en octubre ?
Answer: buddy if you put it in English i can do it I’m a teacher
Step-by-step explanation:
PLEASE PLEASE HELP!!!! In a 6 card deck of Blackjack find the probability that your two cards will be greater then 16. Show all work
The probability that your two cards in a 6-card deck of Blackjack will be greater than 16 is 1/5 or 0.2.
To find the probability that your two cards in a 6-card deck of Blackjack will be greater than 16, we'll need to first determine the possible card values and the combinations that result in a sum greater than 16.
Then, we can calculate the probability.
The probability that your two cards in a 6-card deck of Blackjack will be greater than 16 can be calculated by following these steps:
1. Determine the card values: In Blackjack, cards 2-10 are worth their face value, Jack, Queen, and King are worth 10, and Ace can be 1 or 11. In a 6-card deck, we can have cards with values {2, 3, 4, 5, 6, Ace}.
2. Find the combinations resulting in a sum greater than 16: Using the card values mentioned above, the possible combinations are {(6, Ace), (5, Ace), (4, Ace)}.
3. Calculate the probability: There are a total of 15 possible 2-card combinations (6 choose 2), and 3 of those combinations result in a sum greater than 16. So, the probability is:
Probability = Number of desired outcomes / Total possible outcomes
Probability = 3/15
4. Simplify the fraction: The probability can be simplified to 1/5 or 0.2.
Therefore, the probability that your two cards in a 6-card deck of Blackjack will be greater than 16 is 1/5 or 0.2.
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Pls help this is due today
3 more than 2 times a number is equal to that number plus 4. What is the number?
Answer:
n=1
Step-by-step explanation:
3 more than 2 times a number can be represented by: 3+2n (with n representing "number")
equal to that number plus 4 can be represented by: = n+4
put it together and solve:
3+2n=n+4
-3 -3
2n=n+1
-n -n
n = 1
We can check to confirm:
3+2(1) = 1+4
5=5 which is correct
Point b is on line segment \overline{ac} ac . given ab=2x+10,ab=2x+10, bc=x,bc=x, and ac=5x,ac=5x, determine the numerical length of \overline{ac}. ac
The numerical length of line segment AC is 25.
A line segment refers to a straight line connecting two points.
If point B is on line segment AC, then point B divides the line segment into segments AB and BC.
AB + BC = AC
Given that AB =2x + 10, BC = x, and AC = 5x, substitute these expressions in the equation AB + BC = AC.
AB + BC = AC
2x + 10 + x = 5x
3x + 10 = 5x
5x - 3x = 10
2x = 10
x = 5
To determine the numerical length of line segment AC, substitute the value of x in the equation AC = 5x.
AC = 5x
AC = 5(5)
AC = 25
Hence, the numerical length of line segment AC is 25.
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what was an important concern for the founding fathers when drafting the articles confederation?
Answer: They wanted the government to not be too powerful, in other words they wanted the states to have more power
Step-by-step explanation:
The heights of students in a math class are shown in the dot plot. What percentage of the class has a height of 79 inches or taller? The heights of students in a math class are shown in the dot plot. What percentage of the class has a height of 79 inches or taller? 12% 25% 48% 57%
For a class with 25 students, the percentage of the class that has a height of 79 inches or taller is 48%.
What is dot plot?
A dot plot is a chart that produces a data visualization using data points plotted as dots on a graph.
From the dot plot, the total number of people = 25
Number of people 79 inches or taller = 12
Percentage of the class has a height of 79 inches or taller = (12/25) * 100% = 48%
For a class with 25 students, the percentage of the class that has a height of 79 inches or taller is 48%.
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What percent is 22 of 88
Answer:
25%
Step-by-step explanation:
22/88 x 100% = 25%
help me with these please
Step-by-step explanation:
(1) y = x e^(x²)
Take derivative with respect to x:
dy/dx = x (e^(x²) 2x) + e^(x²)
dy/dx = 2x² e^(x²) + e^(x²)
dy/dx = (2x² + 1) e^(x²)
Take derivative with respect to x again:
d²y/dx² = (2x² + 1) (e^(x²) 2x) + (4x) e^(x²)
d²y/dx² = (4x³ + 2x) e^(x²) + 4x e^(x²)
d²y/dx² = (4x³ + 6x) e^(x²)
Substitute:
d²y/dx² − 2x dy/dx − 4y
= (4x³ + 6x) e^(x²) − 2x (2x² + 1) e^(x²) − 4x e^(x²)
= 4x³ + 6x − 2x (2x² + 1) − 4x
= 4x³ + 6x − 4x³ − 2x − 4x
= 0
(2) y = sin⁻¹(√x)
sin y = √x
sin²y = x
Take derivative with respect to x:
2 sin y cos y dy/dx = 1
sin(2y) dy/dx = 1
dy/dx = csc(2y)
Take derivative with respect to x again:
d²y/dx² = -csc(2y) cot(2y) 2 dy/dx
d²y/dx² = -2 csc²(2y) cot(2y)
Substitute:
2x (1 − x) d²y/dx² + (1 − 2x) dy/dx
= 2 sin²y (1 − sin²y) (-2 csc²(2y) cot(2y)) + (1 − 2 sin²y) csc(2y)
Use power reduction formula:
= (1 − cos(2y)) (1 − ½ (1 − cos(2y))) (-2 csc²(2y) cot(2y)) + (1 − (1 − cos(2y))) csc(2y)
= (1 − cos(2y)) (1 − ½ + ½ cos(2y)) (-2 csc²(2y) cot(2y)) + cos(2y) csc(2y)
= (1 − cos(2y)) (½ + ½ cos(2y)) (-2 csc²(2y) cot(2y)) + cot(2y)
= (cos(2y) − 1) (1 + cos(2y)) csc²(2y) cot(2y) + cot(2y)
= (cos²(2y) − 1) csc²(2y) cot(2y) + cot(2y)
= -sin²(2y) csc²(2y) cot(2y) + cot(2y)
= -cot(2y) + cot(2y)
= 0
How do you divide fast without a calculator?
The simplest way to perform a division is long division and synthetic division.
What is division?
Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.
There are two methods to perform division:
Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.
Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.
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Study found that a students GPA, G, is related to the number of hours worked each week, H, by the equation G equals -0.0007h^2 + 0.011h +3.01 estimate the number of hours worked each week for a student with a GPA of 2.57
A student with a GPA of 2.57 must have worked blank hours each week.
round to the nearest whole number as needed
A student with a GPA of 2.57 is estimated to have worked approximately 15 hours each week.
To estimate the number of hours worked each week for a student with a GPA of 2.57, we can substitute the GPA value into the equation G = -0.0007h^2 + 0.011h + 3.01, where G represents the GPA and h represents the number of hours worked.
By substituting G = 2.57 into the equation, we get:
2.57 = -0.0007h^2 + 0.011h + 3.01
To find the approximate number of hours worked, we can solve this quadratic equation. However, since we are asked to round the answer to the nearest whole number, we can use estimation techniques or software to find the value.
Using estimation or a quadratic solver, we find that the approximate number of hours worked each week for a student with a GPA of 2.57 is around 15 hours. Please note that this is an estimate based on the given equation and the specific GPA value. The actual number of hours worked may vary depending on various factors and individual circumstances.
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In circle F with
�
∠
�
�
�
=
54
m∠EFG=54 and
�
�
=
19
EF=19 units, find the length of arc EG. Round to the nearest hundredth.
Answer:
forgot how to do this
Step-by-step explanation:
150√374 283727273737272727272
if you roll two fair six-sided dice, what is the probability that the sum is 9 99 or higher?
The probability that the sum of two fair six-sided dice is 9 or 99 or higher is 5/36.
To find the probability of whether the sum of two fair six-sided dice is 9 or 99 or higher, we need to determine the number of favorable outcomes and the total number of possible outcomes.
The possible outcomes when rolling two six-sided dice range from 2 (minimum sum) to 12 (maximum sum). We want to calculate the probability of getting a sum of 9 or 99 or higher.
To determine the favorable outcomes, we need to identify all the combinations of dice rolls that meet our criteria. Here are the favorable outcomes:
(3, 6) = sum of 9
(4, 5) = sum of 9
(5, 4) = sum of 9
(6, 3) = sum of 9
(6, 6) = sum of 12
Therefore, we have 5 favorable outcomes.
Now, let's calculate the total number of possible outcomes. Since each die has 6 possible outcomes (numbers 1 to 6), the total number of possible outcomes for rolling two dice is 6 * 6 = 36.
The probability of getting a sum of 9 or 99 or higher is given by:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 5 / 36
Therefore, the probability that the sum of two fair six-sided dice is 9 or 99 or higher is 5/36.
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I need help
Solving this problem
The required value of x is 22 degrees for the given figure.
Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.
As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:
According to the given figure, it can be written as follows:
2x + 24 + 6x - 20 = 180
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Therefore, the required value of x is 22 degrees for the given figure.
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The complete question is as follows:
Find the value of x for the below figure.
3x-6y=24 y=Mx+b form
Answer:
y=0.5x-4 or y=\(\frac{1}{2}\)x-4
Step-by-step explanation:
For this equation, it is mostly just rearranging variables.
We start with 3x-6y=24.
By subtracting 3x from both sides, you get -6y=-3x+24.
From there, dividing both sides by -6 leaves you with y=0.5x-4 aka y=\(\frac{1}{2}\)x-4 depending what format is asked.
** You may want to revise simplifying linear equations and algebraic equations. I'm always happy to help!
PLS HELP ITS DUE IN AN HOUR!
WILL GIVE BRAINLIEST!
Answer:
Step-by-step explanation:
Unfortunately other people have promised to give Brainliest before and they never did. However, I'll answer the third question and tell you that it's 8 sides.
A. TA = P + I; I = (P x i x t)
1. What amount was borrowed if the interest is $270, at 9%, for two
months?
2. Find the ordinary interest for a loan of $4,000,
at 12%, for 60 days.
1. The amount borrowed is $3,000.
2. The ordinary interest is $80.
1. To find the amount borrowed, we can use the formula I = (P x i x t), where I is the interest, P is the principal (amount borrowed), i is the interest rate, and t is the time in years. Rearranging the formula, we have P = I / (i x t). Plugging in the given values, P = 270 / (0.09 x (2/12)) = $3,600.
2. To find the ordinary interest, we can again use the formula I = (P x i x t), where I is the interest, P is the principal, i is the interest rate, and t is the time in years. Since the time given is in days, we need to convert it to years. So, t = 60 / 365 = 0.1644 years. Plugging in the values, I = 4000 x 0.12 x 0.1644 = $79.07.
1. The amount borrowed, we can rearrange the formula TA = P + I to solve for P (the principal amount). Given that the interest (I) is $270, the interest rate (i) is 9%, and the time (t) is two months, we can substitute these values into the formula.
P = I / (i x t)
P = $270 / (0.09 x 2)
Calculating this expression gives us:
P = $1,500
Therefore, the amount borrowed is $1,500.
Using the formula TA = P + I, we can rearrange it to solve for P:
P = TA - I
In this case, the total amount (TA) is the amount borrowed plus the interest. We are given that the interest is $270, and we need to find the principal amount (P) when the interest rate (i) is 9% and the time (t) is two months.
Substituting the given values into the formula, we have:
P = $270 / (0.09 x 2)
Simplifying the expression, we get:
P = $270 / 0.18
Calculating this expression gives us:
P = $1,500
Therefore, the amount borrowed is $1,500.
2. To find the ordinary interest for a loan of $4,000, at 12%, for 60 days, we can use the formula I = (P x i x t). Given that the principal amount (P) is $4,000, the interest rate (i) is 12%, and the time (t) is 60 days, we can substitute these values into the formula.
I = (P x i x t)
I = ($4,000 x 0.12 x 60) / 365
Calculating this expression gives us:
I ≈ $78.08 (rounded to two decimal places)
Therefore, the ordinary interest for the loan is approximately $78.08.
Explanation and Calculation:
Using the formula I = (P x i x t), we can calculate the ordinary interest for the loan.
In this case, the principal amount (P) is $4,000, the interest rate (i) is 12%, and the time (t) is 60 days.
Substituting the given values into the formula, we have:
I = ($4,000 x 0.12 x 60) / 365
Simplifying the expression, we get:
I ≈ $78.08
Therefore, the ordinary interest for the loan is approximately $78.08.
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If measure of angle B is two more than three times the measure of Angle C, and Measure B and c are
complementary angles, find each angle measure
All other units of measure are defined and compared to the four basic measurements of: _____?
The four basic measurements that serve as the foundation for other units of measure are length, mass, time, and temperature.
Length is a measure of distance between two points, typically measured in meters (m) within the International System of Units (SI). Mass is the amount of matter in an object, measured in kilograms (kg) in the SI system. Time refers to the duration or interval between events and is measured in seconds (s) within the SI system.
Lastly, temperature is a measure of the average kinetic energy of particles in a substance, represented in degrees Celsius (°C) or Kelvin (K) in the SI system.
All other units of measure are defined and compared to these four basic measurements. For instance, speed is derived from the combination of length and time (e.g., meters per second). Similarly, force is derived from mass and acceleration, which itself is derived from the change in velocity over time (e.g., newtons).
The combination and comparison of these fundamental measurements enable scientists, engineers, and other professionals to quantify and analyze various phenomena in the physical world.
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please friends help to solve this issue
no answer bcz w bff fgfthsrgffd
Answer:
∅=45°
Step-by-step explanation:
\(2sin\)∅=\(\sqrt{2}\)
\(sin\)∅=\(\frac{\sqrt{2} }{2}\)
∅=\(sin^{-1} (\frac{\sqrt{2} }{2} )\)
∅=45°
I hope this help you
let sn be the number of ternary sequences of length n that do not contain consecutive 0’s. find a generating function for sn.
The generating function for sn can be found using a recursive approach.
First, let's consider the base cases:
- For n = 0, there are no ternary sequences, so s0 = 1
- For n = 1, there are three possible ternary sequences (0, 1, 2), so s1 = 3
- For n = 2, there are six possible ternary sequences without consecutive 0's (01, 02, 10, 12, 20, 21), so s2 = 6
Now, let's consider the recursive case for n > 2. There are two possibilities for the first digit of a ternary sequence of length n:
- If the first digit is 0, then the second digit cannot be 0, so there are 2 options for the second digit and sn-2 options for the remaining n-2 digits. This gives us a total of 2*sn-2 possibilities.
- If the first digit is not 0, then there are 2 options for the first digit and sn-1 options for the remaining n-1 digits. This gives us a total of 2*sn-1 possibilities.
Adding these two possibilities together, we get the recursive formula: sn = 2*sn-1 + 2*sn-2
The generating function for this sequence is given by the following power series:
S(x) = s0 + s1*x + s2*x^2 + s3*x^3 + ...
Substituting the recursive formula into the power series and rearranging terms, we get:
S(x) = 1 + 3*x + 6*x^2 + (2*S(x) - 2)*x^2 + (2*S(x) - 4)*x^3 + ...
Solving for S(x), we get:
S(x) = (1 + x)/(1 - 2*x - 2*x^2)
Therefore, the generating function for sn is S(x) = (1 + x)/(1 - 2*x - 2*x^2).
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I need help please! It's due today
The equation Monique, Clarence, Jose and Quincy linear graph is y = (-1/2)x, y = (1/2)x, y = 1.5x + 1 and y = -1.5x - 1 respectively
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The slope intercept form of a line is:
y = mx + b
where m is the slope and b is the y intercept
Monique graph passes through (0, 0) and (2, -1). Hence:
y - 0 = [(-1 - 0)/(2 - 0)](x - 0)
y = (-1/2)x
Clarence graph passes through (0, 0) and (2, 1). Hence:
y - 0 = [(1 - 0)/(2 - 0)](x - 0)
y = (1/2)x
Jose graph passes through (0, 1) and (-2, -2). Hence:
y - 1 = [(-2 - 1)/(-2 - 0)](x - 0)
y = 1.5x + 1
Quincy graph passes through (0, -1) and (-2, 2). Hence:
y - (-1) = [(2 - (-1))/(-2 - 0)](x - 0)
y = -1.5x - 1
The equation Monique graph is y = (-1/2)x
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solve for X please help i need it fast
Answer:
x = 20
Step-by-step explanation:
\(\frac{10}{x}\) = \(\frac{x}{40}\)
We cross-multiply and get
400 = \(x^{2}\)
\(\sqrt{400}\) = \(\sqrt{x^{2} }\)
x = 20
So, the answer is x = 20
Solve the following compound inequality x + 122 and 2x – 822
ANSWER
[5, ∞)
EXPLANATION
First we have to solve each inequality separately:
\(\begin{gathered} x+1\ge2 \\ x\ge2-1 \\ x\ge1 \end{gathered}\)And the other inequality
\(\begin{gathered} 2x-8\ge2 \\ 2x\ge2+8 \\ 2x\ge10 \\ x\ge\frac{10}{2} \\ x\ge5 \end{gathered}\)Graphing this solution set:
Solution x ≥ 5 includes solution x ≥ 1, so the solution is [5, ∞)
question is in picture
Answer:
-6
Step-by-step explanation:
Answer:
-4 + -2 = -6
Step-by-step explanation:
So this is a rhyme that helps me remember how to add and subtract positive and negative numbers...
(To the tune of Row Row Row Your Boat)
Same sign add and keep
Different sign subtract
Keep the sign of the bigger number
Then you'll be exact
I know it sounds silly but it helped me :)
What is the additive identity matrix for A= 127349568
Answer: B
Step-by-step explanation:
For matrix addition to happen,
1) the 'number of rows' of all matricies have to be same.
2) the 'number of columns' of all matricies have to be same.
So the answer should be <B>.
A trapezoid has an area of 104 square
centimeters. If one base measures 12 centimeters
and the height is 8 centimeters, what is the length of
the second base?
The formula for the area of a trapezoid is (1/2)(b1 + b2)h, where b1 and b2 are the lengths of the bases, and h is the height.
Describe the trapezoid shape.
An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.
We know that the area is 104 square centimeters and the height is 8 centimeters, we can use that to find the length of the second base.
104 = (1/2)(b1 + b2) * 8
104 = (1/2)(12+b2) * 8
104 = (1/2)(12+b2) * 8
104 = 6 + 4b2
98 = 4b2
b2 = 98/4 = 24.5 cm
The second base of the trapezoid is 24.5 cm.
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