Step-by-step explanation:
Question 2:
y + 3 = 10
Solution:
Given,y + 3 = 10
By subtracting 3 from both sides, we get
y + 3 – 3 = 10 – 3
⇒ y = 10 – 3
⇒ y = 7
Question 3:
6 = z + 2
Solution:
Given,6 = z + 2
By substractin
only an example
Answer:
Step-by-step explanation:
\(\frac{1}{3}(x + 3 ) - 2(x - 5) = 4\frac{1}{3}\\\\\frac{1}{3}x + \frac{1}{3}*3 + x*(-2) - 5*(-2) = \frac{13}{3}\\\\\frac{1}{3}x + 1 - 2x + 10 =\frac{13}{3}\\\\\frac{1}{3}x -2x + 1 + 10 =\frac{13}{3}\\\\\frac{1}{3}x - \frac{2*3}{1*3}x + 11 = \frac{13}{3}\\\\\frac{1}{3}x-\frac{6}{3}x =\frac{13}{3}-11\\\\\frac{1-6}{3}x=\frac{13}{3}-\frac{11*3}{1*3}\\\\\frac{-5}{3}x=\frac{13-33}{3}\\\\\frac{-5}{3}x=\frac{-20}{3}\\\\x=\frac{-20}{3}*\frac{3}{-5}\\\\x=4\)
HELP!Which of the following does NOT represent a function? PICTURE ATTACHED
Answer:
C
Step-by-step explanation:
A function, when depicted by these graphs, are anything where the x value is only connected to one y value. It does not matter if it has the same y value as another x value, as long as it only has one connection. If an x value connects to two y values, it is not a function, therefore C does not represent a function.
Answer:
c
Step-by-step explanation:
2. How long will it take for $6,500 to grow to $85,000 at an interest rate of 8% if the
Interest is compounded continuously?
The digits in the product of 0.48 and a decimal number between 350 and 400 are 182136. Explain how to correctly place the decimal point without knowing the other factor. Then Place place the decimal point in the product.
The decimal point is to be placed three places to the left.
What are decimal numbers?
When we divide a whole number into smaller parts, we get decimals. Then, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number. After the decimal point, however, when we proceed to the right, we obtain the fractional portion of the decimal number.
Given that, in the question, the product of a decimal number between 350 and 400 and 0.48 results in the numbers 182136. As 0.48 is just 48/100, let's take a decimal number between 350 and 400.
If the number is 370.1, for example, we can write it as 3701/10 because it has one decimal point.
Our denominator will be 1000, because both the denominators are 100 and 10, which is equivalent three decimal places to the left of the result when we multiply 48/100 by 3701/10.
The result provided to us should therefore be written as 182.136, with the decimal point moved three spaces to the left.
The decimal point is to be placed three places to the left.
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Explain why arctan(1) = 45° or π/4.
Answer:
Explanation below
Step-by-step explanation:
Inverse Trigonometric Functions
They are defined as the inverse of the basic trigonometric functions which are sine, cosine, tangent, cotangent, secant, and cosecant.
The corresponding inverse functions are called arcsin, arccos, arctan, arccot, arcsec, arccsc.
These inverse functions in trigonometry are used to get the angle with any of the trigonometry ratios.
For example,
\(\displayystyle \sin 30^\circ=\frac{1}{2}\)
Then:
\(\displaystyle arcsin \frac{1}{2}=30^\circ\)
Since:
\(\tan 45^\circ=1\)
Or, equivalently:
\(\displaystyle \tan \frac{\pi}{4}=1\)
Then:
\(\displaystyle arctan(1)=45^\circ\)
Or:
\(\displaystyle arctan(1)=\frac{\pi}{4}\)
what is the first step in evaluating the expression shown below? will send image.
Using PEMDAS
We must first clear P which stands for Parentheses
The values in the parentheses are (12.9 -3.1)
so the first and right option is option c subtract 3.1 from 12.9
Solve the equation.
x-5= -2x-5
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
B. The solution is all real numbers.
O c. There is no solution
Answer:x=0
Step-by-step explanation:
Given the sample triangle below and the conditions csc B = 10, b = 0.5, find the hypotenuse of the triangle.
5
10
20
Answer:
hey! i dont recommend putting that much points into one question, it lowers your point value meanig, you cant answer more questions than you usually can
Step-by-step explanation:
On January 1,2020 (the date of grant). Novak Corporation issues 2,400 shares of restricted stock to its executives. The fair value of these shares is $111,000, and their par value is $12,000. The stock is forfeited if the executives do not complete 3 years of employment with the company. Prepare journal entries for January 1,2020, and on December 31, 2020, assuming the service period is 3 years. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter O for the amounts.)
Restricted stock refers to shares of stock given to a person subject to certain restrictions. It is an efficient method for attracting and retaining key employees because it incentivizes them to stay with the organization by giving them a financial interest in the company's success.
Restricted stock may be valued based on the current market price of the underlying stock at the time it is awarded. In this case, Novak Corporation issues 2,400 shares of restricted stock to its executives on January 1,2020 (the date of grant). The fair value of these shares is $111,000, and their par value is $12,000.The entries for Jan 1, 2020 are as follows: Restricted Stock ($99,000) Share Capital (Par Value) ($12,000) Additional Paid-In Capital ($87,000)These journal entries display the following information:
The corporation acknowledges the delivery of 2,400 shares of restricted stock worth $111,000 to its executives on January 1,2020.The par value of the shares is $12,000, meaning that each share has a par value of $5. As a result, the share capital account should be credited for the total par value of the shares, which is $12,000.
The remaining $99,000 ($111,000 - $12,000) represents the fair value of the shares given to the executives. The corporation must credit additional paid-in capital, an equity account, for this amount, as it is paid-in capital contributed to the corporation by investors.The entries for Dec 31, 2020 are as follows:
Compensation Expense ($33,000) Restricted Stock ($33,000)These journal entries display the following information: $33,000 is the yearly compensation cost (i.e., expense) related to the restricted shares granted to executives (one-third of the fair value). The compensation cost is debited to compensation expense, an income statement account. The balance in the restricted stock account ($99,000) is reduced by $33,000 to reflect the quantity of restricted stock given to the executives that have been earned for services delivered during the year. Restricted stock is credited for $33,000.
In the year 2020, the entries for the issuance of restricted stock to its executives on January 1 and the compensation expense and the related reduction in restricted stock at December 31 are provided in this solution.
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Please help me.
I'm having problems with this problem and I can't seem to get it.
Answer:
6.2 units
Step-by-step explanation:
First find the width of the rectangle (which is acting as hypotenuse) using the perpendicular legs measuring 3 units and 2 units.
Width of the rectangle
\(=\sqrt{3^2+2^2}\)
\(=\sqrt{9+4}\)
\(=\sqrt{13}\)
Dotted line is the diagonal of the rectangle. it's length can be obtained as given below:
Length of the dotted line
\( = \sqrt{ {(5)}^{2} + {( \sqrt{13)} }^{2} } \\ \\ = \sqrt{25 + 13 } \\ \\ = \sqrt{38 } \\ \\ = 6.164 \\ \\ \approx \: 6.2 \: units\)
Find a counterexample to show that the given conjecture is false.
If n is a real number, then n³>n.
Let \(n=0\). Then \(0^3 = 0\) but 0 > 0 is a false statement.
Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s, 34% 3’s, and 41% 4’s. Mr. Goodman sets a goal to outscore these numbers. At the end of the year he takes a random sample of his evaluations and finds 11 1’s, 14 2’s, 47 3’s, and 53 4’s. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Department’s?
Hypotheses:
H0: There is (no difference /a difference) in Mr. Goodman’s evaluations and the History Department’s.
H1: There is (no difference /a difference) in Mr. Goodman’s evaluations and the History Department’s.
Enter the test statistic - round to 4 decimal places.
Enter the p-value - round to 4 decimal places.
Can it be concluded that there is a statistically significant difference in Mr. Goodman’s evaluations and the History Department’s?
(Yes/ No)
It (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.
What is a random sample?In statistics, a simple random sample (or SRS) is a subset of people (a sample) picked at random from a larger group of people (a population), all with the same probability.
It is a method of choosing a sample at random. Each subset of k people in SRS has the same chance of getting selected for the sample as any other subset of k people.
An objective sampling strategy is a straightforward random sample. Simple random sampling is a fundamental kind of sampling that can be used in combination with other, more sophisticated sampling techniques.
So, in the given situation of Mr. Goodmain and with all the information given we can conclude that it cannot be concluded that there is a statistically significant difference in Mr. Goodman’s evaluations and the History Department’s.
Therefore, it (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.
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Complete question:
Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s, 34% 3’s, and 41% 4’s. Mr. Goodman sets a goal to outscore these numbers. At the end of the year, he takes a random sample of his evaluations and finds 11 1’s, 14 2’s, 47 3’s, and 53 4’s. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Departments?
Hypotheses:
H0: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.
H1: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.
Enter the test statistic - round to 4 decimal places.
Enter the p-value - round to 4 decimal places.
Can it be concluded that there is a statistically significant difference between Mr. Goodman’s evaluations and the History Department’s?
a. Yes
b. No
Suppose the utility function for goods x and y is given Utility = U(x,y) = xy +y Suppose price of both x and y is $1. You have total $10 to spend. Suppose price of x changed to $0.5. Price of y and your disposable income remain the same:
a. calculates the change in the amount of good x, that is caused by the substitution effect (the effect on consumption due to a change in price holding real income or utility constant).
b. calculate the change in the amount of good x, that is caused by the income effect (the effect on consumption due to a change in real income caused by a change in price).
a. The substitution effect causes an increase of 10 units of good x due to the price change. b. The income effect causes an increase of 10 units of good x due to the doubling of real income.
a. To calculate the substitution effect, we need to hold the utility constant. Since the price of good x decreased to $0.5, we can consider the new price ratio as 0.5:1 (x:y). Initially, with a budget of $10, we could purchase 10 units of good y. With the new price ratio, the consumer can buy 20 units of x for the same $10 budget. Therefore, the substitution effect leads to an increase of 20 - 10 = 10 units of x.
b. To calculate the income effect, we need to consider the change in real income caused by the price change. With the price of x decreasing to $0.5 and the consumer's disposable income remaining the same, the consumer's real income doubles. Since the utility function has an income elasticity of 1 for good x (as it appears in the utility function linearly), the consumer will allocate the same proportion of income to good x. Therefore, with the doubled real income, the consumer will purchase twice as much of good x.
Thus, the income effect leads to an increase of 10 units of x.
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Math Please Help Make sure you explain your answer Thanks Have a blessed day!!!
Answer:
A
Step-by-step explanation:
well, you can plug in 6 for x to see if it comes out true. If it does. then yes 6 is a solution for the equation. If it doesn't, then it's no.
(6) + 13 = 18
19 = 18
So, the answer is no since 19 does not equal 18. So it's between A and B. Now you must read. Is it no because 6 + 13 = 18 is true or not true?
Well, since 19 does not equal 18, 6 + 13 = 18 is not true.
So the answer is A. No, because 6 + 13 = 18 is not true
Answer: i think A
Step-by-step explanation: 6+13 does not equal 18 it equals 19 that is
why I would choose A
help anyone please asap!!
We see : 4x - 5y = -20
We can write the negative form of 4x - 5y by switching the signs : - (4x - 5y ) = -4x + 5y
Since -4x + 5y is the negative form of 4x - 5y, the result should also be the opposite : 20
And -4x + 5y is indeed 20, so the answer is infinitely many solutions.
Answer:
infinitely many solutions
Step-by-step explanation:
4x - 5y = - 20 → (1)
- 4x + 5y = 20 → (2)
add (1) and (2) term by term
0 + 0 = 0
0 = 0 ← true statement
this indicates the system has infinitely many solutions
Type equation for the line shown in the graph
Answer:
y = \(\frac{1}{2}\) x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, 5) ← 2 points on the line
m = \(\frac{5-3}{2+2}\) = \(\frac{2}{4}\) = \(\frac{1}{2}\) , then
y = \(\frac{1}{2}\) x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 5 ) , then
5 = 1 + c ⇒ c = 5 - 1 = 4
y = \(\frac{1}{2}\) x + 4 ← equation of line
What are the domain and range of this exponential function?y=2x–9
The value of both domain and range of this exponential function is (−∞,∞).
y = 2x-9
The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).
The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).
Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).
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which angles form a linear pair giving brainliest and points
Angles 6 and 8 are adjacent, they are Linear pair οf angles.
What is Linear pair?Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.
Angles 1 and 4 are not adjacent, they are vertically opposite.
Angles 5 and 8 are not adjacent, they are vertically opposite.
Angles 6 and 8 are adjacent, they are Linear pair οf angles
Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.
Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles
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You spin the spinner and flip a coin. Find the probability of the compound event.
A spinner is divided into 5 equal regions. The sections are labeled 1, 2, 3, 4, and 5.
The probability of spinning a 6 and flipping tails is
Answer:
\(0\)
Step-by-step explanation:
Right off the bat, we notice that it is impossible to spin a \(6\), since the spinner's sections are marked \(1\), \(2\), \(3\), \(4\), and \(5\); there is no \(6\). Therefore, since spinning a \(6\) is impossible and wouldn't ever happen, the answer is \(0\).
We don't even need to consider the probability of flipping tails here because the probability of spinning a \(6\) is \(0\), so you would never spin a \(6\) and flip tails. This is because when we see the word "and" in between multiple events, we know that we have to multiply the probabilities of the events together. Multiplying \(0\) by anything results in a product of \(0\), so it makes sense that the answer is \(0\). Hope this helps!
PLZ HELP!!!!!!!!
what is 5 x 2 + 7² = ???
Answer:
The Answer is 59
Step-by-step explanation:
5*2+7^2
=5*2+49
=10+49
=59
I hope that you have found this answer to be helpful. Have a wonderful day.
Find value of x pleaseee
Answer:
Step-by-step explanation:
you can use the side angle side formula ( a form of Law of Cosines)
a^2 = b^2 + c^2 − 2bc cos(A)
where x = a , then
\(x^{2}\) = \(5^{2}\) +\(3^{2}\) - 2*5*3*cos(107)
\(x^{2}\) = 25 + 9 - 30 * (-0.292371)
\(x^{2}\) = 25 + 9 -8.7711511
x = 5.0228 cm
Use the information in the given table to determine the equation of the function in vertex form.
2
0
1
3
2
DN
3
f(x)
3
2
9
4
5
2
-32
بت انه | تر
15
The equation of the function in vertex form is given by f(x)=-2(x-2)²-7/2.
What is vertex?It is the point at which the maximum or minimum value of a function is achieved. It is also known as the turning point of the graph of the function.
The equation of the function in vertex form is given by f(x)=a(x-h)²+k.
Using the given table, we can calculate the values of a, h and k.
Substituting the values of x and f(x) from the table, we get:-
-3/2=a(-1/2-h)²+k
-9/4=a(0-h)²+k
-5/2=a(1/2-h)²+k
-3/2=a(3/2-h)²+k
3/2=a(5/2-h)²+k
15/4=a(3-h)²+k
Solving these equations simultaneously, we get
a=-2, h=2 and k=-7/2
Therefore, the equation of the function in vertex form is given by
f(x)=-2(x-2)²-7/2.
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the total surface area of a cube is 384cm3 the length of the edge of the cube is?
Solving for a
\(a = \sqrt{ \frac{A}{6} } \\ = \sqrt{ \frac{384}{6} } \\ = 8cm\)please help me i dont understand
Answer:
x=15°
∡Q= 75°
Step-by-step explanation:
supplementary angles means the sum of the angles =180°
so, 5x+105°=180°
5x=75°
x=15°
∡Q= 75°
hello please help i’ll give brainliest
Answer:
ocean crust is thinner
Step-by-step explanation:
Answer:
Oceanic crust is thinner
hope this helped
Step-by-step explanation:
1. Write each of the following as a sum or a difference of logarithms
a. log(19/20)
b. log9(3 x 8)
2. Each of the following has an error. Identify the error and explain why its wrong
a. log56 + log37 = log542
b. 3 log216 = log2163
= 43
= 64
3. Use the laws of logarithms to simplify the expression S = 10 logl1 - 10logI0
The sum or a difference of logarithms are: a)= log-1 (b) log₉11 2) a) log2072 (b) log10077696 (3) s= 1
What is the sum and difference of logarithm?The logarithm of a product is the sum of the logarithms of the factors being multiplied, while the logarithm of the ratio or quotient of two numbers is the difference of the logarithms. To write the sum or difference of logarithms as a single logarithm, one can use the addition rule, the multiplication rule of logarithm, or the third rule of logarithms that deals with exponents.
the given logarithms are
a. log(19/20)
Applying the law of logarithm to get
log(19-20)
= log-1
b. log9(3 x 8)
log₉3 + log₉8
log ₉(3+8)
= log₉11
2 The logarithm that has error include
a. log56 + log37 = log542
The logarithm is wrong
Applying the law of multiplication we have
log(56*37)
= log2072
b. 3 log216 = log2163
This logarithm is wrong because applying the power law of logarithm
log216³ = log10077696
3) S = 10 logl1 - 10logI0
Using the low of logarithm we have
s= log11¹⁰/log10¹⁰
log(11/10)¹⁰⁺¹⁰
log(1.1)⁰
Any number raised to power zero is 1
therefore s= 1
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what is the remainder when the positive integer n is divided by the positive integer k, where k > 1 ? (1) n
n=(K+1)^3 the remainder when the positive integer n is divided by the positive integer k, where k > 1
What is Remainder?
The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). The remaining is the name for this amount.
For instance, 10 is not precisely divisible by 3. We can calculate 3 x 3 = 9 because that is the closest value.
As a result, 10 3 3 R 1, where 1 is the remainder and 3 is the quotient.
As we are aware:
Dividend: Divisor x Quotient + Remainder
Therefore,
Dividend - Remainder (Divisor x Quotient)
The formula for the remainder is as follows.
\(n=(k+1)^3\\\\=k^3+3k^2+3k+1\\\\=k(k^2+3k+3)+1=(k+1)^3\\\\=k^3+3k^2+3k+1=k(k2+3k+3)+1 \\\\\)
\(k(k^2+3k+3)\) is clearly divisible by k, because 1 divided by k gives 1 as the result (since k > 1).
The remainder will be n= (K+1)^3
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Can someone help me with the table on 13 using the question at the top
Ali has invited 18 adults and 6 children to a cookout.
Mo, Ali’s best friend, suggests that Ali seat an equal number of adults and an equal number of children at each table.
What is the greatest number of tables Ali could use? How many adults and how many children would be seated at each table? Explain.
Answer:
Ali could use 6 tables. There would be 3 adults
and 1 child seated at each table.
Step-by-step explanation:
GCF to find the number of tables:
18: 1, 2, 3, 6 , 9, 18;
6: 1, 2, 3, 6 .
Can somebody plz help me plz ?
Answer:
-5
Step-by-step explanation:
plug it in and it works
Solve the initial value problem. Dy/dx = 4x^-3/4, y(1) = 3 a. y = 16x^1/4 - 13 b. y = 16x1/4 + 48 c. y = -3/4^x7/4-13/4 d. y= 4x^1/4 - 1
The solution to the given initial value problem is (d) y = 4x^(1/4) - 1.
Given the initial value problem,
dy/dx = 4x^(-3/4), y(1) = 3
Integrating both sides with respect to x, we get
∫dy = ∫4x^(-3/4)dx
y = -8x^(-1/4) + C
where C is the constant of integration.
To find the value of C, we use the initial condition y(1) = 3
3 = -8(1)^(-1/4) + C
C = 3 + 8 = 11
Therefore, the solution to the initial value problem is
y = -8x^(-1/4) + 11
Simplifying further,
y = 11 - 8/x^(1/4)
Hence, the correct option is d) y = 4x^(1/4) - 1 is not the solution to the given initial value problem.
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