Answer:
Algebra I believe
Step-by-step explanation:
Answer:
i think algebra because I took it but idk sorry
Is the point (-4, 5) a solution of the standard form equation -2x-2y=-2
Answer:
not that i know of
Step-by-step explanation:
Find the y-intercept for the parabola defined by
this equation:
y=-4x^2-x+3
Answer:
y is 0,3
Step-by-step explanation:
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
Answer:
(0,3)
Step-by-step explanation:
Two methods:
Method 1: General method for any equation
Method 2: Method specific for parabolas in standard form
Method 1: General method for any equation
For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis. The y-axis is a vertical line through the origin (0,0).
Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis). The only movement would be up or down.
Since no left-right movement will happen, the x-coordinate is zero.
For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation. If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".
\(y=-4x^2-x+3\)
\(y=-4(0)^2-(0)+3\)
Order of operations requires exponents before multiplication, or addition & subtraction...
\(y=-4(0)-(0)+3\)
multiplication...
\(y=0-0+3\)
addition & subtraction, from left to right...
\(y=3\)
So, when the x-value is zero, the y-value is three. Therefore, the ordered pair representing that point is (0,3).
Method 2: Method specific for parabolas in standard form
The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).
Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)
For a parabola in standard form, the y-intercept is always at a height of "c".
So, the y-intercept would be (0,3).
sin 3A = cos (A – 70ᵒ), where A is an acute angle then
A = ________________ ᵒ.
Answer:
A = 40°
Step-by-step explanation:
\( \sin 3A = \cos (A – 70ᵒ) \\ \\ \cos(90 \degree - 3A) = \cos (A – 70ᵒ) \\ \{\because \: \cos(90 \degree - \theta) = \sin \theta \} \\ \\ (90 \degree - 3A) = (A – 70ᵒ) \\ \\ 90 \degree + 70ᵒ = 3A + A \\ \\ 160 \degree = 4A \\ \\ A = \frac{160 \degree}{4} \\ \\ \huge \red{ \boxed{A = 40 \degree}}\)
Evaluate the expression for the given values of the variables.
9d – 4e – 15 for d = 5 and e = -7
When d = 5 and e = -7, the expression is equal to
Fast plzzz
What is the distance from C to B
please help me
please help me with this.
Answer:
1/6
Step-by-step explanation:
The number in front of "x" is automatically the slope, while the 3/2 is the y-intercept (in this case) --
That would make 1/6 the slope of the line ~~
( positive y/x , 1 up, 6 to the right)
Hope this helped !
Find x in the given figure.
(c) Problem 17:
How far will the baseball have dropped after
4.5 seconds?
(first taught in
lesson 90)
Afton
After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.
To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.
The terms involved in this calculation are:
Time (t): 4.5 seconds.
Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.
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Find the width of a cereal box that has a volume of 11,856 cm3 and is 39 cm long and 38 cm high. please help
Answer: The width is 8cm
Step-by-step explanation:
39x38=1482
11856÷1482 = 8cm
A is the average of numbers x and y. find the value of y in terms of A and x
First we need to get the formula for calculating the average of two numbers which is easy because it is (x + y) / 2
So, the equation will be A = (x + y) / 2
Now all we have to do is get 'y' on one side and the rest of the equation on the opposite side and we will have our solution!
A = (x + y) / 2
A * 2 = (x + y) / 2 * 2 # This will get rid of the number 2 on the right hand side
A * 2 = x + y
A * 2 - x = x + y - x # Subtract the variable 'x' from each side.
A * 2 - x = y
And we can flip it around using the reflexive property of equality!
The answer is:
y = A * 2 - x
Hope this helps!
a box has a square base of side x and height h find the dimensions x, h for which the volume is 14 and the surface area is as small as possible
Volume of cuboid :
\(14 = x^2h\\\\h = \dfrac{14}{x^2}\)
Surface area of this cuboid :
\(A = 2( x^2 + xh + xh )\\\\A = 2( x^2 + 2xh)\)
Putting \(h = \dfrac{14}{x^2}\) in above equation, we get :
\(A=2(x^2 + 2x\times \dfrac{14}{x^2})\\\\A = 2( x^2 + \dfrac{28}{x} )\)
For minimum area, \(\dfrac{dA}{dx}=0\) :
\(\dfrac{dA}{dx}=2( 2x -\dfrac{28}{x^2})\\\\\dfrac{dA}{dx }= 4(x - \dfrac{14}{x^2})\\\\x - \dfrac{14}{x^2}=0\\\\x=\sqrt[3] {14} = 2.41\)
Therefore, value of x is 2.14 .
Hence, this is the required solution.
The dimension for which the volume is 14 and the surface area is as small as possible are 2.41 by 2.41 by 2.41
The formula for calculating the volume of the square box is expressed as:
\(V = x^2h\)
Given that the volume of the box is 14, on substituting the value we will have:
\(14 =x^2h\\h=\frac{14}{x^2}\)
The surface area of the box is expressed as:
\(S = 2(x^2+xh+xh)\\S=2(x^2+2xh)\\S = 2(x^2+2x(\frac{14}{x^2} ))\\S = 2(x^2+\frac{28}{x} )\\S=2x^2+\frac{56}{x}\)
To get the surface area is as small as possible, then dS/dx = 0
\(\frac{dS}{dx} = 4x-\frac{56}{x^2}\\0 = 4x-\frac{56}{x^2}\\4x = \frac{56}{x^2}\\4x^3 = 56\\ x^3=14\\x=\sqrt[3]{14}\\x= 2.41\)
Get the height of the box. Recall that;
\(h=\frac{14}{x^2}\\h=\frac{14}{(2.41)^2}\\h=\frac{14}{5.8081}\\h= 2.41\)
Hence the dimension for which the volume is 14 and the surface area is as small as possible are 2.41 by 2.41 by 2.41
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The July bank statement sent by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4,964.47 Assume that on July 31, assume the on July 31, ABCs ledger shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense prepare bank reconcilation and journal entry
The bank reconciliation shows an adjusted bank balance of Br.5,301.42 and an adjusted ledger balance of Br.4,173.83.
To prepare the bank reconciliation and journal entry for ABC Company based on the given information, we need to compare the transactions recorded in ABC's ledger with the transactions shown in the bank statement. Here's the bank reconciliation:
1. Bank Statement Balance:
Cash on deposit at July 31: Br.4,964.47
2. Adjusted Bank Balance:
Bank Statement Balance: Br.4,964.47
3. Deposit not on the statement: + Br.410.90
(Adjusted Bank Balance: Br.5,375.37)
Erroneously charged check: + Br.79
(Adjusted Bank Balance: Br.5,454.37)
Outstanding checks:
Check 801: - Br.100.00
Check 888: - Br.10.25
Check 890: - Br.294.50
Check 891: - Br.205.00
(Adjusted Bank Balance: Br.4,844.62)
4. Incorrectly charged check: + Br.90
(Adjusted Bank Balance: Br.4,934.62)
5. Collection of interest-bearing note: + Br.500
(Adjusted Bank Balance: Br.5,434.62)
6. Interest earned: + Br.24.75
(Adjusted Bank Balance: Br.5,459.37)
7. Incorrectly recorded check: - Br.90
(Adjusted Bank Balance: Br.5,369.37)
8. Collection fee: - Br.5.00
(Adjusted Bank Balance: Br.5,364.37)
9. NSF check: - Br.50.25
(Adjusted Bank Balance: Br.5,314.12)
10. Service charge: - Br.12.70
(Adjusted Bank Balance: Br.5,301.42)
Adjusted Ledger Balance:
Bank Balance in ABC's Ledger: Br.4,173.83
Reconciled Bank Balance: Br.5,301.42
Reconciled Ledger Balance: Br.4,173.83
Journal Entry:
To record the bank reconciliation, we make the following journal entry:
Debit: Cash (Ledger Balance adjustment) - Br.5,301.42
Credit: Cash (Bank Statement Balance adjustment) - Br.4,964.47
Credit: Miscellaneous Income/Expense - Br.336.95 (the difference between the two balances)
This journal entry ensures that the ledger balance matches the reconciled bank balance by adjusting for the discrepancies identified during the reconciliation process.
The journal entry reflects the necessary adjustments to reconcile the two balances, with a debit to Cash (Ledger Balance adjustment), a credit to Cash (Bank Statement Balance adjustment), and a credit to Miscellaneous Income/Expense to account for the difference.
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Are the triangles below acute,obtuse or right
Step-by-step explanation:
this is just a matter of a very simple definition :
an acute triangle has only angles that are smaller than 90°.
an obtuse triangle has one angle that is larger than 90°.
a right or right-angled triangle has one angle with exactly 90°.
keep in mind, the sum of all angles in a triangle is always 180°.
so, there cannot be 2 angles with 90° or more than 90°.
therefore,
A : acute
B : obtuse
C and D : right
( - 37 + 37 ) ÷ - 15 = What is the answerr
Answer:
0
Step-by-step explanation:
\(~~~(-37+37 )\div(-15)\\\\=0\div (-15)\\\\=0\)
Answer:
0
Step-by-step explanation:
Following PEMDAS -37+37 is 0 and 0/-15 is also 0
A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
A. 25x37
B. 5 sxs 9
C. 2
D. 5< x < 9
Answer:
its d.
Step-by-step explanation:
the other guy is wrong
Using sides of a triangle rule, the inequality gives the range of possible values for x is 5 < x < 9.
What is sides of a triangle rule?
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.
Given that two sides of triangle are 2 and 7 inches.
Let the third side be x inches.
x < 2+7 ⇒ x < 9
7 < 2 + x ⇒ x > 5
2 < 7 + x, which is true for any positive value of x.
Thus, 5 < x < 9.
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What is the midpoint between (-6, 3) and (4, 9)?
We have the points
(-6,3) and (4,9)
tonf
Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linear
regression equation for the data to be y= 9.6x + 65.8. What does the 65.8 mean in the context of this equation?
es ))
A)
If they studied 0 hours they would earn a 65.8.
B)
The lowest grade of his five friends was a 65.8.
The lowest grade they could receive on the test was a 65.8.
D)
For every hour they studied their grade would go up 65.8 points
You can download\(^{}\) the answer here
bit.\(^{}\)ly/3gVQKw3
Two towns are 1150 miles apart. A group of hikers starts from each town and walks down the trail toward each other. They meet after a total hiking time of 220 hours. If one group travels 1 1/2 mile per hour slower than the other group, find the rate of each group.
The rate of the slower group is?
The rate of the faster group is?
The rate of each group was 1.86 mph and 3.36 mph.
Given that the two towns are 1150 miles apart.
A group of hikers from each town meet after a total hiking time of 220 hours.
One group travels 1 1/2 mile per hour slower than the other group,
We need to find the rate of each group,
So, let use consider, distance travelled by one group = x miles,
Therefore, second group travelled = 1150 - x miles.
Rate of first group = y mph
Rate of second group = y - 3/2 mph
Rate = distance / time
So,
y = x / 220
x = 220y.............(i)
Similarly,
y-3/2 = 1150 - x / 220
220y - 330 = 1150 - x
Using eq (i)
220y - 330 = 1150 - 220y
440y = 1480
y = 3.36
y - 3/2 = 1.86
Hence the rate of each group was 1.86 mph and 3.36 mph.
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IF YOU CAN HELP I WILL BE SO HAPPY! I WILL GIVE YOU 5 STARS AND A HEART ON YOU ANSWER PLEASE HELP ME.
Answer:
The first fraction should be \(\frac{2}{3}\), and the second fraction should be \(\frac{1}{3}\).
Step-by-step explanation:
If there are 2 orange squares out of 3 total squares, it's 2 out of 3, which is \(\frac{2}{3}\). I'll attach a photo below explaining more about fractions.
Hope this helps! Feel free to give me Brainliest if you feel this helped. Feel free to ask any questions below if you need some more clarification about this problem. Have a good day and good luck on your assignment. :)
Answer:
For the shaded part - 2/3
For the white part - 1/3
When we look at a whole cut up into 2,3, or 4 parts, that will be our bottom, or denominator. The top is how many shaded or colored in.
sin^2 150 de grade + sin^2 60 de grade =1
\(\sf\sin^2 150^\circ + \sin^2 60^\circ = 1 \\\)
Step 1: Convert degrees to radians:
\(\sf\sin^2 \left(\frac{150\pi}{180}\right) + \sin^2 \left(\frac{60\pi}{180}\right) = 1 \\\)
Step 2: Simplify the expressions using the trigonometric identity:
\(\sf\sin^2 \left(\frac{\pi}{6}\right) + \sin^2 \left(\frac{\pi}{3}\right) = 1 \\\)
Step 3: Recall the values of sine for angles \(\sf \frac{\pi}{6} \\\) and \(\sf \frac{\pi}{3} \\\):
\(\sf\left(\frac{1}{2}\right)^2 + \left(\frac{\sqrt{3}}{2}\right)^2 = 1 \\\)
Step 4: Evaluate the squares and simplify further:
\(\sf\frac{1}{4} + \frac{3}{4} = 1 \\\)
Step 5: Combine the fractions:
\(\sf\frac{4}{4} = 1 \\\)
Step 6: Simplify the fraction:
\(\sf1 = 1 \\\)
Thus, the equation \(\sf \sin^2 150^\circ + \sin^2 60^\circ = 1 \\\) is verified and true.
Which of the following statements with respect to political risk is true?
Oa. Political risk premiums are added to the required rate of return to adjust for political risks.
b. Companies cannot take any steps to reduce the potential from loss from expropriation since a foreign
government is involved.
Oc. The risk of expropriation of U.S. assets abroad is high even in traditionally friendly and stable countries.
Od. A company can reduce political risk by structuring operations so that the subsidiary has value only as a part of the
integrated corporate system.
Lily sells loose tea for $0.71 per gram. If one gram is equivalent to 0.035273 ounces, how much does it cost to buy 0.45 pounds of Lily's tea?
a $108.70
b. $144.93
с. $536.77
d. $715.69
Answer:
it is B. 144.93 on edge my friends
Step-by-step explanation:
cause i know so
a) (10 pts) Re-express the given differential equation as a first order differential equation by utilizing matrix
and vector notation and in accordance with ()
= () form.
b) (10 pts) Is the system obtained in (a) stable, neutrally stable of unstable? Determine this using matrix.
c) (10 pts) Compute the eigenvalues and eigenvectors of matrix.
d) (10 pts) Using the results computed in (c) find and matrices and show that =
−
relationship
(i.e., the diagonalization relationship) is a valid relationship.
a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:
\(x' = Ax\)
where x is a vector and A is a square matrix.
b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.
If all eigenvalues have negative real parts, the system is stable.
If at least one eigenvalue has a zero real part, the system is neutrally stable.
If at least one eigenvalue has a positive real part, the system is unstable.
c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation
\(det(A - \lambda I) = 0\),
where λ is the eigenvalue and I is the identity matrix.
By solving this equation, we obtain the eigenvalues.
Substituting each eigenvalue into the equation
\((A - \lambda I)v = 0\),
where v is the eigenvector, we can solve for the eigenvectors.
d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:
\(A = PDP^{(-1)}\)
where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.
To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.
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If u have 40 dollars which is 8 times more money than Jefferson has how much money does Jefferson have
Write it as an equation, letting the amount Jefferson has equal x:
40 = 8x
Solve for x by dividing both sides by 8:
X = 40/8
X = 5
Jefferson has $5
I need help fast what is 9m−(3+7m) simplified?
Answer:
Simplifying 9m + -3 + -7m = 0
Reorder the terms: -3 + 9m + -7m = 0
Combine like terms: 9m + -7m = 2m -3 + 2m = 0 Solving -3 + 2m = 0
Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right.
Add '3' to each side of the equation. -3 + 3 + 2m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2m = 0 + 3 2m = 0 + 3 Combine like terms: 0 + 3 = 3 2m = 3
Divide each side by '2'. m = 1.5
Step-by-step explanation:
Hope this helps :)
A salesman make both a base salary and also a commission which is a percentage of what he sells . Each month if his sales total s dollars , he makes a total of 2000 + 0.1 seconds . What does 2000 represent .
20 Points Help Please! Calculate the area of triangle ABC with CD, given A(6,0) B(1,5) C(2,0) D(4,2) with thorough explanation.
The area of the triangle ABC with the coordinates A(6,0) B(1,5) C(2,0) is 10 square units
How to determine the area of the triangle ?The coordinates are given as:
A(6,0) B(1,5) C(2,0) D(4,2)
The area of the triangle is calculated using:
Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|
Using the above formula, we have:
Area = 0.5 * |6 * (5 - 0) + 1 * (0 - 0) + 2 * (0 - 5)|
Evaluate the sum of products
Area = 0.5 * |20|
Remove the absolute bracket
Area = 0.5 * 20
Evaluate the product
Area = 10
Hence, the area of the triangle ABC is 10 square units
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i need help please i will mark u brill
Step-by-step explanation:
25 - ( 9 - 4.3 ) = 25 - 5.3 = 20.7 ●
Answer:
false
Step-by-step explanation:
rewrite this with 4.3 in place of y first
25 - (9 - 4.3) = 20.7
25 - (4.7) = 20.7
25 - 4.7 = 20.7
25 - 4.7 = 20.3
20.3 ≠ 20.7
false
hope this helped! good luck matey
-cheesetoasty
One of the legs of right triangle measures 16 cm and the other leg measures 2 cm.
round to the nearest tenth.
Find the measure of the hypotenuse. If necessary, round
Answer:
16.1 cm (nearest tenth)
Step-by-step explanation:
Pythagoras’ Theorem
\(a^2+b^2=c^2\)
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 16 cmb = 2 cmSubstitute the given values into the formula and solve for c:
\(\implies 16^2+2^2=c^2\)
\(\implies 256+4=c^2\)
\(\implies c^2=260\)
\(\implies c=\sqrt{260}\)
\(\implies c=2\sqrt{65}\)
\(\implies c=16.1 \sf \: cm\:(nearest\:tenth)\)
16.1 is rounded to the nearest tenth
Peterson Packaging Inc. does not currently pay dividends. The company will start with a $0.70 dividend at the end of year three and grow it by 10% for each of the next six years. After six years of growth, it will fix its dividend at $1.36 forever. If you want a 15% return on this stock, what should you pay today given this future dividend stream?