I need help on this problem expand 2-x(x+6)
(This is distributive property)
Answer:
2-x^2-6x
Step-by-step explanation:
2-x(x+6)
2-x^2-6c
Mary's scarf is 64 centimeters long. How many millimeters is the length of the scarf?
Answer:
640 mm
Step-by-step explanation:
Evaluate f(x) = 3x + 8 for x = 1.
-11
5
11
3
Answer:
11
Step-by-step explanation:
f(x)=3x+8
f(1)=3(1)+8
f(1)=3+8
f(1)=11
Answer:
The anwser is 11
Step-by-step explanation:
You just replace x with 1, and solve, so it would be 3(1) + 8, which is 11.
which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?
Answer:
QUESTION:
which experimental probability from coach nelson's experiment equals the theorectical probability? what is this probability?
ANSWER:
This will explain everything to you.
https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-probability-statistics/cc-7th-theoretical-and-experimental-probability/v/comparing-theoretical-to-experimental-probabilites
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
How many even numbers less than 1000 can be formed from the given
digits 0,2,3,5 if repetition is not allowed.
(a) 16
(b) 24
(c) 6
(d) none of these
Answer:
non of them it should be 32 iʻm pretty sure
Step-by-step explanation:
A recipe calls for 3 cups of water for every 4 cups of flour.
What is the unit rate of water to flour, written as a decimal?
Find the values of x which satisfy the following inequation:
x3 – x² <12x
Answer:
x< -3 and 0 < x < 4
Step-by-step explanation:
x^3 – x² <12x
Subtract 12x from each side
x^3 -x^2 - 12x< 0
Factor
x( x^2 -x-12) <0
Factor
x( x-4) ( x+3) < 0
Using the zero product property
x=0 x=4 x=-3
We have to check the signs regions
x < -3
-( -) (-) < 0 True
-3 to 0
-( -) (+) < 0 False
0 to 4
+( -) (+) < 0 True
x>4
+( +) (+) < 0 False
The regions this is valid is
x< -3 and 0 < x < 4
a family would like to build a linear regression equation to predict the amount of grain harvested per acre of land on their farm. they subdivide their land into several smaller plots of land for testing and would like to select an explanatory variable they can control. which of the following is an appropriate explanatory variable that the family could use to create a linear regression equation?
The correct option is (E) "The amount of fertilizer applied to each plot of land." In this linear regression equation, the family needs to select an explanatory variable that they can control and that can affect the amount of grain harvested per acre of land.
Out of the given options, "amount of fertilizer applied to each plot of land" is the most appropriate explanatory variable that the family could use to create a linear regression equation. By controlling the amount of fertilizer used, the family can investigate the relationship between fertilizer and the amount of grain harvested per acre of land. They can then use this relationship to predict the amount of grain they can harvest if they use a certain amount of fertilizer in the future. so, the correct option is (E).
To know more about linear regression:
https://brainly.com/question/29665935
#SPJ4
____The given question is incomplete, the complete question is given below:
A family would like to build a linear regression equation to predict the amount of grain harvested per acre of land on their farm. they subdivide their land into several smaller plots of land for testing and would like to select an explanatory variable they can control. which of the following is an appropriate explanatory variable that the family could use to create a linear regression equation? А The total amount of rainfall recorded at their farm B The type of crop planted in the plot the previous year с The average daily temperature at their farm D The variety of grain planted in the plot E The amount of fertilizer applied to each plot of land i
5x-6<24
on a number line
Answer:
x<6
Step-by-step explanation:
5x-6<24
Add 6 to each side
5x-6+6<24+6
5x< 30
Divide each side by 5
5x/5 < 30/5
x < 6
There is an open circle at 6 and the line goes to the left.
Step-by-step explanation:
5x - 6 < 24
5x < 24 + 6
5x < 30
x < 6
\( \small{\colorbox{black}{\purple{\boxed{\pink{ \sf\:✨ \small{ḀṆṠẇḕṙ \: ḃẏ}✨{ \small{\gray{\boxed{\orange{\: \tt \: - ꆰꍟꈤ꒒ - \:}}}}}}}} }}\)
Ahn has two jars of marbles. The first jar has a white, blue and green marble. The second jar has a green, red, purple and black marble. He randomly chooses one marble from each jar. Whatis the probability he chooses two green marbles?
Answer:
1/12
Step-by-step explanation:
There are 12 different possibilities when we pair them together. This can be viewed when we draw up a table. See image attached. :P
Answer:
1/12
Step-by-step explanation:
if the first jar has 3 and the second has 4 marbles, then just multiply and you have 12. so its 1/12
BRAINLYIST to first person to answer is correct.
Which graph shows the solution set for 2 x + 3 greater-than negative 9?
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Answer:
i think its A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Step-by-step explanation:
So , the value of x is greater then -6 . So , Correct option is A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
A tank contains 1000L of pure water. Brine that contains 0.04kg of salt per liter enters the tank at a rate of 5L/min. Also, brine that contains 0.06kg of salt per liter enters the tank at a rate of 10L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15L/min.
1. How much salt is in the tank after t minutes?
2. How much salt is in the tank after 60 minutes?
Answer:
1) x = [ - (12/1000)* e∧ ( - 15/1000)*t + 12/1000 ] /e∧ - (15/1000)*t
2) x = - 0,012 * ( e ∧ 0.18 + 0,012 ) / e∧-0,18
Step-by-step explanation:
1.-Quantity of salt in the tank after t minutes
The rate of change of the quantity of salt in the tank is:
dx(t) /dt = original quantity (0) + input quantity - output quantity (1)
quantity = concentration* rate Then
input quantity = 0.04 Kg/lt * 5 Lt/min + 0.06 Kg/lt * 10Lt/min = 0.2 Kg/min
+ 0.6 Kg/min = 0,8 Kg/lt
output quantity = Output concentration * rate of draining
rate of draining = 15 Lt/min
The input quantity and the output quantity occur at the same rate therefore the volume in the tank is constant 1000Lt.
output quantity = (x/1000 )*15
Plugging these values in equation (1) we get.
dx/dt = 0,8 - ( x/1000)* 15
The last one is a differential first-order equation like
x´ + P(t)*x = q(t)
and the solution is:
x*μ = ∫ q(t)*μ*dt + C
where μ is the integration factor e ∧ ∫p(t)*dt
let´s call b = -15/1000
μ = e ∧ ∫p(t)*dt = e∧∫ b*dt = e∧ b*t = e∧ ( -15/1000)*t
μ = e∧ - (15/1000)*t
Then x*μ = x * e∧ - (15/1000)*t
∫ q(t)*μ*dt = ∫ 0.8 * e∧ - (15/1000)*t*dt = 0.8 * ∫ e∧bt * dt
∫ q(t)*μ*dt = 0.8 * ( 1/b ) e∧bt = - 0,8 *( 15/1000) * e∧ ( - 15/1000)*t
∫ q(t)*μ*dt = - (12/1000)* e∧ ( - 15/1000)*t
x * e∧ - (15/1000)*t = - (12/1000)* e∧ ( - 15/1000)*t + C
Initial condition t = 0 x = 0
0 = - (12 / 1000 )* e⁰ = C
C = 12/1000
x * e∧ - (15/1000)*t = - (12/1000)* e∧ ( - 15/1000)*t + 12/1000
x = [ - (12/1000)* e∧ ( - 15/1000)*t + 12/1000 ] /e∧ - (15/1000)*t
When t = 60 min
x = [ - (12/1000)* e∧ ( - 15/1000)*12 + 12/1000 ] / e∧ - (15/1000) * 12
x = - 0,012 * ( e ∧ 0.18 + 0,012 ) / e∧-0,18
Help please!!!!!!!!!!!!!!
Answer:
Negative
Step-by-step explanation:
Slope is negative since as x increases, y decreases.
HELPPP LAST ATTEMPT!!
Answer:
(5, -3)
Step-by-step explanation:
How do i solve it with steps pls
Answer:
Step-by-step explanation:
We know the the total of angles for a triangle is 180 degrees.
So in this case we'd want to set up adding all of our angles and setting them equal to 180
17 + 126 + b = 180
then solve for b
143 + b = 180
b = 37 degrees
So the answer would be 37 degrees for angle b
he polynomial of degree 5, P ( x ) has leading coefficient 1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 Find a possible formula for P ( x ) .
f]
The possible formula for the polynomial in discuss whose roots are described as; having roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 is; P(x) = x^5 -5x⁴-6x³+18x².
What is the polynomial in discuss whose roots and leading coefficient are as discussed?The polynomial which is as described in the task content whose roots are as given can be written in its factorised form as follows;
P(x) = (x-3) (x-3) (x) (x) (x+1)
The expanded form is therefore;
P(x) = x^5 - 5x⁴- 6x³+ 18x².
Therefore, the polynomial having roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 is P(x) = x^5 - 5x⁴- 6x³+ 18x².
Read more on polynomials;
https://brainly.com/question/13793580
#SPJ1
casey draws a rectangle array that is 1,167 units long and 7 units wide. what is the area of caseys array?
The Casey's rectangular array that is 1,167 units long and 7 units wide has an area of
8169 square unitsHow to calculate the area of the rectangleThe formula for the area of a rectangle is the product of length and wide. This is written mathematically as
= length * wideness
In the problem the rectangular array made by Casey has a the following dimensions
length = 1167 units
wide = 7 units
Area of rectangle = length * wideness
substituting the values
Area of rectangle = 1167 * 7
Area of rectangle = 8169 square units
Learn more about area of rectangle at:
https://brainly.com/question/25292087
#SPJ1
My cookbook's pancake recipe states that it makes 12 standard sized pancakes. The nutritional information says 2 pancakes is a serving containing 150 calories. For breakfast, I prepared half a recipe, but made smaller sized pancakes, so ended up preparing 8 pancakes. I ate 4 of them. How many calories did I consume?
Answer:
225 calories
Step-by-step explanation:
1 recipe makes
12 standard sized pancakes
2 pancakes are 1/6 of the recipe
1/6 of the recipe has 150 calories
6 × 150 calories = 900 calories
The full recipe of 12 pancakes has 900 calories
1/2 recipe was made
1/2 recipe has 1/2 × 900 calories = 450 calories
1/2 recipe made 8 pancakes
4 pancakes are half of the half recipe or 1/4 recipe
1/4 × 900 calories = 225 calories
Suppose that $2000 is invested at a rate of 2.6 %, compounded quarterly Assuming that no withdrawals are made the amount after 8 years
What is 2251 rounded to the nearest hundred
Solve, using the substitution method
j+k=3
j-k=7
Answer:
k = -2
j = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
j + k = 3
j - k = 7
Step 2: Rewrite Systems
j - k = 7
[Addition Property of Equality] Add k on both sides: j = 7 + kStep 3: Redefine Systems
j + k = 3
j = 7 + k
Step 4: Solve for k
Substitution
Substitute in j [1st Equation]: 7 + k + k = 3[Addition] Combine like terms: 7 + 2k = 3[Subtraction Property of Equality] Subtract 7 on both sides: 2k = -4[Division Property of Equality] Divide 2 on both sides: k = -2Step 5: Solve for k
Substitute in k [1st Equation]: j - 2 = 3[Addition Property of Equality] Add 2 on both sides: j = 5The 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.
For more such questions on bank
https://brainly.com/question/25711082
#SPJ8
In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled by quantity (y+16)^2/400 + x^2/144 = 1 and Comet H is modeled by quantity (y + 13)^2/144 - x^2/25 = 1, where all measurements are in astronomical units.Part A: What are the vertices for the path of Comet E? Show your work. (4 points)Part B: Which comet travels closer to the sun? Give evidence to support your answer. (5 points)Part C: What key feature does the sun represent for both comets? Give evidence to support your answer. (6 points)
ANSWER and EXPLANATION
(a) For the path of the two comets, the sun is located at the origin (0, 0).
The equation that models the path of comet E is:
\(\frac{(x+16)^2}{400}+\frac{y^2}{144}=1\)This is the equation of an ellipse, in other words, the path of comet E is elliptic.
The standard equation of an ellipse is:
\(\frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}=1\)where (h, k) = center
(h, k ± a) = vertex
Comparing the equation for comet E to the general equation, we see that center of the ellipse is (0, -16) and the vertices of comet E are:
\(\begin{gathered} (0,-16\pm20) \\ \\ (0,-16-20)\text{ and }(0,-16+20) \\ \\ (0,-36)\text{ and }(0,4) \end{gathered}\)The equation that models the path of comet H is:
\(\frac{(y+13)^2}{144}-\frac{x^2}{25}=1\)This is the equation of a hyperbola, hence, the path of comet H is hyperbolic.
The standard equation of a hyperbola is:
\(\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\)where (h, k) = center
(h, k ± a) = vertex
Comparing the equation of comet H to the standard equation, we see that the center of comet E is (0, 13), and the vertices of comet H are:
\(\begin{gathered} (0,-13\pm12) \\ \\ (0,-13-12)\text{ and \lparen}0,-13+12) \\ \\ (0,-25)\text{ and }(0,-1) \end{gathered}\)(b) Checking the vertices of both comets, we see that the vertices of comet H are closer to the origin than for comet E. This implies that comet H travels closer to the sun.
(c) We are given that the sun is at the origin of the coordinate system being considered.
We see that this represents the focus of the elliptic path that comet E takes and the hyperbolic path that comet H takes.
This can be shown by calculating the focus for comet E.
For comet E (ellipse), the focus is:
\((h,k-c)\text{ and }(h,k+c)\)where c is:
\(c=\sqrt{b^2-a^2}\)For comet E, we will use the focus closer to the sun.
We have that:
\(\begin{gathered} c=\sqrt{400-144}=\sqrt{256} \\ \\ c=16 \end{gathered}\)and the focus is:
\(\begin{gathered} (0,-16+16) \\ \\ (0,0) \end{gathered}\)Hence, we see that the focus of the comets is at the origin i.e. the sun.
An angle measures 37*. What is the measure of its supplement?
Answer:
143°
Step-by-step explanation:
supplementary angles are angles that combine to form a straight line (and we know that a straight line = 180 degrees)
you can think of an angle as needing another angle to "supplement" it into being a full line.
So, we know that one angle = 37°
And that: one angle + supplementary angle = 180 degrees
37° + x = 180°
- 37 -37
x = 143
So, the measure of this angle's supplement is 143°
hope this helps!!
Answer:
143 degrees
Step-by-step explanation:
180 - 37 = 143
Which of the following is a correct interpretation of the expression 6 - 136−, minus, 13?
Choose 1 answer:
(Choice A)
A
Start at 131313 on the number line and move 666 to the left.
(Choice B)
B
Start at 131313 on the number line and move 666 to the right.
(Choice C)
C
Start at 666 on the number line and move 131313 to the left.
(Choice D)
D
Start at 666 on the number line and move 131313 to the right.
Answer:
the correct answer is C
Step-by-step explanation:
49:01
What is the value of x in the equation 4 x plus 8 y equals 40, when y equals 0.8?
The value of x in the equation 4 x plus 8 y equals 40 is 8.4
How to determine the value of x?The equation is given as:
4 x plus 8 y equals 40
Rewrite the equation as:
4x + 8y = 40
The value of y is 0.8.
So, we have:
4x + 8 * 0.8 = 40
Divide through by 4
x + 2 * 0.8 = 10
Evaluate the product
x + 1.6 = 10
Subtract 1.6 from both sides
x = 8.4
Hence, the value of x in the equation 4 x plus 8 y equals 40 is 8.4
Read more about equations at:
https://brainly.com/question/2972832
#SPJ1
Determine the smallest integer value of x in the solution of the following inequality.
-3x+10≤5
Answer: The smallest integer value of x in the solution is 1.
Step-by-step explanation:
The given inequality: \(-3x+10\leq5\)
To solve the inequality, we first subtract 10 from both sides
\(-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5\)
Multiply negative sign on both sides ,we get
\(3x\geq5\)
Divide both sides by 3, we get
\(x\geq\frac{5}{3}\)
i.e. \(x\geq 1.6666666667\\\)
\(x\geq1\)
Hence, the smallest integer value of x in the solution is 1.
If b = 3, then b^-2 is equivalent to _____.
A: 9
B: 1/9
C: -9
D: -6
Answer:
-9
Step-by-step explanation:
3 times -3 equals -9
Answer:
its c i took the quiz they're correct
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
Using Trigonometry, the value of x in the right triangle is 17.1
Since we have a right angle triangle ; The angle L can be obtained thus ;
L = 180 - (90+67)
L = 23
Using Trigonometry:
Sin23° = opposite/ hypotenuse
Opposite= 6.7
hypotenuse= x
Sin23° = 6.7/x
x = 6.7/sin(23°)
x = 17.14
Therefore, the value of x to the nearest tenth is 17.1
Learn more on trigonometry:https://brainly.com/question/24349828
#SPJ1
a company that sells digital cameras has found that their revenue can be modeled by the equation R(p)=-5p^2+1230p , where p is the price of the camera in dollars. what price will maximize the revenue? what is the maximum revenue?
To find the maximum revenue, we can substitute \(p = 123\) into the revenue equation: the maximum revenue is $\(75,615.\)
What is the maximum revenue?To find the price that will maximize revenue, we need to find the value of p that corresponds to the maximum of the quadratic function \(R(p) = -5p^2 + 1230p.\)
One way to do this is to use calculus. We can take the derivative of R(p) with respect to p and set it equal to zero to find the critical point(s):
\(R'(p) = -10p + 1230\)
\(-10p + 1230 = 0\)
\(p = 123\)
So, the price that will maximize revenue is $\(123.\)
To confirm that this is a maximum, we can take the second derivative of R(p) and evaluate it at \(p = 123:\)
\(R''(p) = -10\)
Since \(R''(123) = -10 < 0\) , we know that \(p = 123\) corresponds to a maximum.
To find the maximum revenue, we can substitute p = 123 into the revenue equation:
\(R(123) = -5(123)^2 + 1230(123) = $75,615\)
Therefore, the maximum revenue is $\(75,615.\)
Learn more about revenue here:
https://brainly.com/question/29567732
#SPJ1