Answer:
8
Step-by-step explanation:
Let's call the first of the three consecutive even integers x.
Since the integers are consecutive and even, we know that the next integer will be x+2, and the next one will be x+4.
We can use this information to set up an equation:
x + (x+2) + (x+4) = 30
Simplifying this equation, we get:
3x + 6 = 30
Subtracting 6 from both sides:
3x = 24
Dividing by 3:
x = 8
So the first of the three consecutive even integers is 8
Miss Shaw has some counters. If she gives her pupil 3 counters each, she will have 12 counters left. If she gives them 4 counters each, she will need 24 counters more.
a) How many pupils are there?
b) How many counters does she have?
If Miss Shaw has some counters. If she gives her pupil 3 counters each, she will have 12 counters left.
a) The number of pupils that are there is 24.
b) The number of counters she have is 84.
How to find the number of pupils?a) Let's p represent the number of pupils
3p + 12 = number of counters
4p = number of counters + 24
We can substitute the first equation into the second:
4p = (3p + 12) + 24
4p = 3p + 36
p = 24 pupils
Counters:
3p + 12
= 3 * 24 + 12
= 84 counters
Therefore the number of pupils that are there is 24 and the number of counters she have is 84.
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Given the quadratic function x2+5x-24=0,mark on the graph where the solution[s]exit
The solutions exist at x=-8 and x=3, so the graph will have points at (-8,0) and (3,0).
Quadratic FormulaThe solutions to the equation x2+5x-24=0 can be found by using the Quadratic Formula, which is x = [-b ± √(b2-4ac)]/2a. In this case, a = 1, b = 5, and c = -24.This results in x = {8, -3}.These solutions can be represented graphically on a coordinate plane.There are two points of intersection at (8, 0) and (-3, 0).These points represent the two solutions to the equation.This type of graph is called a parabola.It is a U-shaped curve that consists of all points that satisfy the equation.The vertex is the point at which the parabola changes direction and is located at the point (5, -24).To learn more about Quadratic Formula refer to:
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WILL MARK BRAINLYST IF RIGHT ANSWER
You work for a company that rents out inflatable tents for birthday parties. A customer has asked you for the typical length of time a tent will stay inflated. For recent events, your data show the following inflation times, in hours: 24, 27, 27, 24, 27, 24, 24, 27, 24, 24, 24, and 27.
What is the best measure to describe the typical length of time that a tent will stay inflated?
spread
mode
mean
median
none of the above
Answer:
Mean
Step-by-step explanation:
You need to find the average amount of time that tents stay inflated. You could argue Mode but then you'd only get 24 when it could be 27
suppose the probability of an irs audit is 3.4 percent for u.s taxpayers who file form 1040 and earn $100,000 or more
I am struggling in Statistics
A fair die is rolled four times. The probability that each of the final three rolls is at least as large as the roll preceding it may be expressed in the form m/n where m and n are relatively prime positive integers. Find m + n.
The value of m + n is 53.
Let's consider the first roll "a". The second, third, and fourth rolls will be represented as "b", "c", and "d".
The first roll of a can be any integer from 1 to 6.
For the second roll of b, there are 5 possible integers that are greater than or equal to the first roll "a".
For the third roll of c, there are 4 possible integers that are greater than or equal to the subsequent roll "b".
For the fourth roll of d, there are 3 possible integers that are greater than or equal to the third roll "c".
Thus, the total number of possible outcomes that meet the rules is 6 * 5 * 4 * 3 = 360.
The total number of possible outcomes for rolling a fair die multiple times is 6 * 6 * 6 * 6 = 1296.
This is how the probability of every one of the last three rolls being in some measure as extensive as the roll going before it is 360/1296, which can be improved to 5/18.
In this way, m + n = 5 + 18 = 23.
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How do I show work for 27x 506
506 is 27 times the value of 18.74 because the sum of the two numbers is 506.
506 is 27 times as much as what?We divide both sides by 27 to get x on its own, and then we can solve for x. The math is illustrated below:
27 • x = 506
27x = 506
27x/27 = 506/27
x = 18.74
Every day, we deal with decimals while calculating length, weight, and other variables. When whole numbers are insufficient to offer the level of precision needed, decimal numbers are utilized. For instance, we don't always find that our weight is equal to a whole number on the scale when we calculate it on the weighing machine.
Simply said, round down the preceding digit if the last digit is less than 5. The previous digit should be rounded up if the number is five or higher.
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Complete Question is :How do I show work for 27x is 506 and Find the value of x?
A 20-year mortgage of $50, 000 has monthly payments with 12.5% interest convertible semi-annually. After making the 60th payment, the borrower decides to renegotiate the loan so that he will repay the outstanding amount by making a lump sum payment of $10000, and clearing the balance by means of monthly instalments of $x for 10 years at 11% interest convertible semi-annually. Find x to 2 decimal places.
Answer:
$490.36
Step-by-step explanation:
We can start solving the problem by using the formula for compound interest:
A = [tex]P(1+\frac{R}{n})^{nt}[/tex]
Where A is the final amount, P is the initial principal, R is the interest rate, n is the number of times the interest is compounded in a year, and t is the number of years.
First, we need to calculate the outstanding amount after 60 payments. Since the interest is 12.5% convertible semi-annually, we can use the following formula:
A = [tex]P(1+\frac{R}{2})^{2t}[/tex]
Where P = $50,000 (initial principal), R = 12.5/100 = 0.125, n = 2 (convertible semi-annually), t = 60/12 = 5 years.
A =$ [tex]$50,000(1+\frac{0.125}{2*5})[/tex]
= $ [tex]$50,000(1.0625)^{10}[/tex]
= $50,000(1.7440312)
= $87,201.56
So, the outstanding amount after 60 payments is $87,201.56
Next, we need to calculate the remaining balance after paying $10,000 as a lump sum, which is $87,201.56 - $10,000 = $77,201.56
Now, we need to calculate the monthly payments for 10 years at 11% interest convertible semi-annually. Using the formula above:
A =[tex]P(1+\frac{R}{n})^{nt}[/tex]
Where P = $77,201.56, R = 11/100 = 0.11, n = 2 (convertible semi-annually), t = 10 years.
To find the value of x, we can set up the equation:
$77,201.56 = [tex]x*(1+\frac{0.11}{2})^{2*120}[/tex] - $10,000
Solving for x gives:
x ≈ $490.36 is the monthly instalment for 10 years at 11% interest convertible semi-annually.
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use deductive reasoning to show that the following procedure always produces the number 8. procedure: pick a number. add 5 to the number and multiply the sum by 3. subtract 7 and then decrease this difference by the triple of the original number.
After using the deductive reasoning the procedure always produces the number 8.
Procedure:
Let the number be x.
We have to add 5 to the number x.
So the expression is x + 5.
We have to multiply the sum by 3.
Now the expression is 3(x + 5).
Now we have to subtract 7.
Now the expression is 3(x + 5) - 7.
Then we have to decrease this difference by the triple of the original number.
The triple of original number is 3x.
Now the expression is {3(x + 5) - 7} - 3x.
Now solving this expression
= {3(x + 5) - 7} - 3x.
First simplify the bracket
= 3x + 15 - 7 - 3x.
= 8
Now we can se that the after following the whole procedure the answer is 8.
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we know that triangle dfe is isosceles with base fe and that segment fb is congruent to segment ec because . segment df is congruent to segment by the definition of isosceles triangle. since these segments are congruent, the base angles, angles , are congruent by the isosceles triangle theorem. therefore, triangles are congruent by sas.
In a Isosceles triangle, DEF , ∆DFB is congruent to ∆DEC by SAS Congruence criteria, i.e., ∆DFB ≅ ∆DEC.
SAS congruance Criteria : If two sides and the angle between these two sides of one triangle are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. We have a triangle DFE with base FE, see in above figure. The EC congruent to FB, i.e., FB ≅ EC. We have to prove ∆DFB ≅ ∆DEC.
Proof : It is known that ∆DEF is isocles triangle with base FE. So, two sides of triangle are equal.
In ∆DFB and ∆DEC,
=> DF = D E ( by definition of Isoceles triangle)
Also, base FB≅ EC ( since, we have)
Now, ∠DFE = ∠DEF => ∠DFB = ∠DEC ( because DE = DF in ∆DEF , corresponding angles of equal sides are equal) .
So, Two sides and the angle between the sides of one triangle, ∆DFB is congruent to the corresponding sides and angle of another triangle, ∆DEC. Therefore, by SAS Congruence criteria, Triangle DFB is congruent to triangle DEC, i.e., ∆DFB≅ ∆DEC. Hence proved..
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Complete question:
Given: ΔDFE is isosceles with base FE; FB ≅ EC. Prove: ∆DFB ≅ ∆DEC.Complete the missing parts of the paragraph proof. We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because . Segment DF is congruent segment by the definition of isosceles triangle. Since these segments are congruent, the base angles, angles , are congruent by the isosceles triangle theorem. Therefore, triangles are congruent by SAS
Consider the following two systems.
(a)
4x−2yx+5y==−3
x+5y = 1
(b)
4x−2yx+5y=2
X+5y = 3
(i) Find the inverse of the (common) coefficient matrix of the two systems.
(ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A^{-1} B where B represents the right hand side (i.e.
B =
−3
1
for system (ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A^{-1} B where B represents the right hand side (i.e. B =
−3
1
for system (a) and B =
2
3
for system (b)).
and B =
2
3
for system (b)).
To the inverse, use the formula A−1=1/ad−bc[d −b]
[ −c a]
when the system (ii) By applying the inverse, that is, by calculating A-1 B where B represents the right-hand side (i.e. B = ), the solutions to the two systems-:
−3
1
for system (a) and B =
2
3
for system (b)).
and B =
2
3
for system (b)).
The coefficient matrix is
[4−2
1 5]
To find the inverse, use the formula
A−1=1/ad−bc[d −b
−c a]
The solutions can then be obtained by multiplying this inverse matrix by the vectors. (For example, use writing to solve the equation Ax=b.
x=A⁻¹b)
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The full question
Consider the following two systems.
(a)
4x−2yx+5y==−31
(b)
4x−2yx+5y==23
(i) Find the inverse of the (common) coefficient matrix of the two systems.
(ii) Find the solutions to the two systems by using the inverse, i.e. by evaluating A^{-1} B where B represents the right-hand side (i.e.
B =−31
How do I solve for this arclength problem? I am gto an intigral of sqrt(1+cos2x) and when i solve for it it should be 1 but that wont work
Length of the curve is 1
What is arc length?Arc length or length of a curve is the distance travelled by a point it follows the graph of a function along a some particular interval.
Given,
[tex]y=\int\limits^0_x {\sqrt{cost2t} } \, dt[/tex]
Let find the derivative of the function,
[tex]\frac{dy}{dt} =\frac{d}{dt} (\int\limits^0_x {\sqrt{cost2t} } \, dt)[/tex]
[tex]\frac{dy}{dt} = \sqrt{cos2t}[/tex]
Now using arc length formula,
[tex]L= \int\limits^0_\frac{\pi }{4} {\sqrt{1+(\sqrt{cos2t})^{2} } } \, dt[/tex]
[tex]L= \int\limits^0_\frac{\pi }{4} {\sqrt{1+cos2t} } \, dt[/tex]
Using trigonometric identities, [tex]cos^{2} t+sin^{2} =1[/tex] and[tex]cos2t = cos^{2}t-sin^{2} t[/tex][tex]L= \int\limits^0_\frac{\pi }{4} {\sqrt{cos^{2} t+sin^{2} + cos^{2}t-sin^{2} t } } \, dt[/tex][tex]L= \int\limits^0_\frac{\pi }{4} {\sqrt{2cos^{2} t} } \, dt[/tex]
[tex]L= \sqrt{2} \int\limits^0_\frac{\pi }{4} cos t} } \, dt = \sqrt{2} sint[/tex]
Apply limits we get, L=1.
Hence, length of the curve , L=1.
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Suppose /(x)= x. Find the graph of f(x) + 4
Click on the correct answer.
The function's value is f(x). The line's slope is m.When x is equal to 0, the function's value is equal to b, which is also the coordinate at where the line in the coordinate plane crosses the y-axis.
Find the graph ?The function's value is f(x). The line's slope is m.
When x is equal to 0, the function's value is equal to b, which is also the coordinate at where the line in the coordinate plane crosses the y-axis.
The x-value coordinate's is given by x.
Graph Rules for Derivatives
The graph of f'(x) will be below the x-axis if f(x) has a negative slope.
The graph of f'(x) will be above the x-axis if f(x) has a positive slope.
The x-intercepts of f' will be all relative extrema of f(x) (x).
Given that ;
f(x)= x³
f(x)-4 = x³- 4
See attached graph using the graph tool
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Which expression is equivalent to the given expression? (ab^2)^3 divided by b^5
The solution to the algebraic expression (ab²)³/b⁵ using laws of exponents is; ab
How to divide Algebra Expressions?The algebraic expression we are trying to solve is;
(ab²)³/b⁵
Now, according to laws of exponents, we have that;
1) Product Law of exponents: To multiply two expressions with the same base, add the exponents while keeping the base the same
2) Quotient Law of Exponents: To divide two expressions with the same base, subtract the exponents while keeping the base same
3) Zero Law of exponents: Any number (other than 0) raised to 0 is 1
4) Power of a power law of exponents: It states that when we have a single base with two exponents, just multiply the exponents.
We will first apply the power of a power law to get;
(ab²)³/b⁵ = ab⁶/b⁵
= ab
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solve
x/75 =25 please help me with this
Answer:
Step-by-step explanation:
To solve the equation x/75 = 25, you can multiply both sides by 75 to isolate x:
x/75 * 75 = 25 * 75
x = 1875
Yolanda, Charlie, and Trey have a total of $96 in their wallets. Trey has 4 times what Charlie has. Yolanda has
$6 more than Charlie. How much does each have?
Amount in Yolanda's wallet: $0
Amount in Charlie's wallet:
$0
Amount in Trey's wallet:
$0
The J (Jenny) has $15 , C (Charlie) has $20 and A(Aldo) has $30 in their wallets with total sum of $65.
What is mathematical equation?Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.Everyone is familiar with Albert Einstein's famous equation, E = mc2, whether they are experts in physics or math or not. Our understanding of physics at the time was significantly altered by this formula, which exemplifies the theory of relativity (both confined relativity and general relativity).Since Jenny, Charlie and Aldo have a total of $65 in their wallets. This could be represented as
J + C + A = 65 (equation 1)
Jenny has $5 less than Charlie
J = C - 5 (equation 2)
Aldo has 2 times what Jenny has
A = 2 * J (equation 3)
Now we can solve the above equations by substitution.
Rearranging Equation 2 as
C = J + 5
Now substituting the values of A and C in equation 1 from 2 and 3. So equation 1 would become
J + (J+5) + (2*J) = 65
Solving the above equation
J + J + 5 + 2J = 65
4J = 65-5
4J = 60
J = 60/4
J = 15
Now if we insert the value of J in equation 2 and 3 we will get C and A.
C = J + 5
C = 15 + 5
C= 20
And
A = 2*J
A= 2*15
A = 30
The J (Jenny) has $15 , C (Charlie) has $20 and A(Aldo) has $30 in their wallets with total sum of $65.
The complete question is,
Jenny, Charlie, and Aldo have a total of $65 in their wallets. Jenny has $5 less than Charlie. Aldo has 2 times what Jenny has. How much do they each have in their wallets?
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help!! needed quickly!
On solving the provided question we can say that The coordinates are = ( 9 , - 6 ); the slope intercept will be y + 6 = 9xm - m
what is slope intercept?In mathematics, the intersection point is the place on the y-axis where the slope of the line crosses. a place where the y-axis crosses on a line or curve. Y = mx+c, where m stands for the slope and c for the y-intercept, is used as the equation for the straight line to show this. The slope (m) of the line and its y-intercept (b) are emphasised in the equation's intercept form. When an equation has the intercept form (y=mx+b), the slope is m and the y-intercept is b. Some equations can also be rewritten such that they seem to be slope intercepts. If y=x is rewritten as y=1x+0, for instance, the slope and y-intercept are both changed to 1.
The coordinates are = ( 9 , - 6 )
the slope intercept will be y + 6 = 9xm - m
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(5^2-3^2)-(5-3)-^2=?
Answer:
12
Step-by-step explanation:
[tex] ( {5}^{2} - {3}^{2} ) - (5 - 3) {}^{2} [/tex]
is 12
50 POINTS!!! 6TH GRADE MATH ANSWER THIS BEFORE 30 MINS FOR BRINLIST 5 STAR AND A THANK YOU!!
(EXPLAINATION REQUIERD OTHERWISE YOUR AWNSER WILL BE TAKEN DOWN THANKS SO MUCH!!)
The heights of 11 plants, in inches, are listed.
14, 15, 15, 16, 16, 16, 17, 17, 18, 19, 20
If another plant with a height of 17 inches is added to the data, how would the range be impacted?
The range would stay the same value of 6 inches.
The range would stay the same value of 16 inches.
The range would increase to 17 inches.
The range would decrease to 6 inches.
Answer:
The range is the difference between the largest and smallest values in a set of data. In this case, the heights of the 11 plants are listed as:
14, 15, 15, 16, 16, 16, 17, 17, 18, 19, 20
The smallest height is 14 inches and the largest height is 20 inches, so the range is 20 - 14 = 6 inches.
If another plant with a height of 17 inches is added to the data, the smallest and largest values do not change, so the range would still be 6 inches.
Answer:
Answer to the question posted: The range would stay the same value of 6 inches.
Answer to the question in the comments: The mean would decrease in value to about 16.8 inches.
Step-by-step explanation:
Answer to the question posted:
First, to figure out if the range increases, decreases, or stays the same, we need to find the range. The range is siply the difference between the largest ans smallest number. In this problem, the smallest plant height is 14 while the largest plant height is 20. Since the difference between the smallest and largest plant is 20-14, or 6, inches, the range is 6 inches.
Now, let's figure out what would happen if we added a plant with a height of 17 inches. Well, since our smallest plant height and largest plant height would not be changed, the range would stay the same value of 6 inches.
Answer to the question in the comments:
The first step is to find the mean of the plant heights. To find mean, you need to add up all the plant heights and divide it by the number of plants. Since 13+14+15+15+16+16+16+17+17+18+19+20+22+23=241 and there are 14 plants, we can divide 241 by 14 to find the original mean of the plant heights. When we solve 241/14, we get 17.2142857143.
Now, let's figure out what would happen to the mean if we added a plant with a height of 11 inches. Again, we would need to total up all the plant heights, and it should be 11 inches larger than last time, as we are adding 11 inches to the total plant height. Since our original total height was 241, or new total height, adding in the 11 inch plant, would be 252 inches. Now that we have our total plant height including the 11 inch plant, we need to figure out how many total plants we have. If we started with 14 plants and add another plant into the data set, then the total number of plants, including the 11 inch plant, must be 15. Now that we know the new total plant height and new amount of plants, we can find the new mean, The new mean is 252/15, or 16.8.
So, if our mean went from 17.2142857143 to 16.8 when we added the 11 inch plant, the mean would decrease in value to about 16.8 inches.
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Help me find the value of r please?
Answer:
[tex]r=14\mathring{}[/tex]
Step-by-step explanation:
[tex](5r-5)\mathring{}+(8r+3)\mathring{}=180\mathring{}\\5r-5+8r+3=180\mathring{}\\13r-2=180\mathring{}\\13r=180\mathring{}+2\\13r=182\mathring{}\\r=\frac{182}{13} \\\\r=14\mathring{}[/tex]
Please help!
Solve the equation using the steps:
2(x + 8)= 2x + 8
Step 1: __________ to get _________
Step 2: _________ to get _________
There is ________ solution(s).
Word bank
Distribute
Combine Like Terms
2x+16=2x+8
2x+8 =2x+8
Subtract x on both sides
Add x to both sides
x+16=8
x = 2
x = -8
16 = 8
x + 8 = 8
One
No
Infinite
2x + 8 = x
Subtract 2x on both sides
8 = -x or x = -8
Add 2x to both sides
The equation, 2(x + 8) = 2x + 8 has no solution because 16 = 8.
How to Solve an Equation?To solve an equation, you find the value of the variable that makes the equation true. This can involve using inverse operations (such as addition and subtraction, multiplication and division, or exponentiation and logarithms) to isolate the variable on one side of the equation, and then using properties of equality to simplify the equation.
Given the following, 2(x + 8) = 2x + 8:
Step 1: Distribute 2(x + 8) = 2x + 8 to get 2x + 16 = 2x + 8
Step 2: Subtract 2x from both sides to get 16 = 8
2x + 16 = 2x + 8
2x + 16 - 2x = 2x + 8 - 2x
16 = 8
There is no solution.
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Hi, image is shown below. Please help if able to.. thank you.
Answer:
50 days
Step-by-step explanation:
Grace=3x+200
Joseph=6x+50
3x+200=6x+50
3x=150
x=50
find the difference by subtracting the polynomial 4a^3+6a^2-11a-3 from the pilynomial 2a^3-4a^2-6a+1
The polynomial we obtain by subtraction is -2a³-10a²+5a+4.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
We have to find the difference by subtracting the polynomial 4a³+6a²-11a-3 from the polynomial 2a³-4a²-6a+1
2a³-4a²-6a+1-(4a³+6a²-11a-3)
Multiply minus with the parenthesis terms
2a³-4a²-6a+1-4a³-6a²+11a+3
Add the like terms
-2a³-10a²+5a+4
Hence, the polynomial we obtain by subtraction is -2a³-10a²+5a+4.
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3.____________is an experiment in a series of successive events.
Progression is an experiment in a series of successive events.
What is a successive term?
Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers. For example 1, 2, 3, 4, 5, 6, and so on are consecutive numbers.
Successive Events: Independent and Dependent. In order to find the probability of several events occurring in succession, multiply the probabilities of the individual events. Successive events can be Independent or Dependent. Independent events are not affected by each other.
Progression is a series of successive events.
Hence, Progression is an experiment in a series of successive events.
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3a+6a+-27+9
solve the equation step by step show full work.
Answer:
9a - 18
Step-by-step explanation:
3a + 6a - 27 +9
→ gather like terms
(3a + 6a) + (-27 +9)
→ collect coefficients of like terms
(3 + 6) × a + (-27 +9)
→ calculate the sum/difference
9a + (-27 +9)
→ calculate the sum/difference (again)
9a - 18
Answer: 9a - 18
hope this helps!
Freddie Vargo received this statement from the department store. Find the average
daily balance (new purchases included), the finance charge, and the new balance.
Transaction
Posting
Burcharor
Raymon
the daily balance equals the previous day's balance plus new purchases minus the payments and credits
How do I calculate the average daily balance with new purchases included?New purchases included indicates that at the conclusion of each day, the firm adds any new purchases to the balance. In other words, the daily balance is equal to the previous day’s amount plus any new purchases less any payments or credits. Credit card issuers will also impose a late fee if payment is not received by the due date.
The daily balance approach calculates your finance fee based on your actual amount on each day of your billing cycle rather than an average of your balance throughout the course of the billing cycle. Finance costs are computed by adding each day’s amount and multiplying it by the daily rate, which is 1/365th of your APR.
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a confidence interval is an interval calculated from the population data, where we strongly believe the true value of the population parameter lies. A.True B.False
As a range of values that are bound above and below the statistic's mean, a confidence interval is likely to contain an unidentified population parameter. So the statement is true.
The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.
In statistics, confidence is another word for probability. For many different statistical estimates, such as proportions, population means, differences between population means or proportions, and estimates of variation among groups, confidence intervals can be calculated.
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Can someone help
Please
The journal entry for the transaction will be:
Debit Cash $617,500
Credit Preferred stock $475,000
Credit Paid up Capital in excess of Par 142,500
(Issued Preferred Stock in Cash)
What is a journal entry?A journal entry is the act of recording any transaction, whether one that is economic or not. An accounting diary that displays the debit and credit balances of a corporation lists transactions.
4,750 Preferred Stock issued at 100 Par Value at $ 130
Means $ 30($ 130-$ 100) Paid up Capital in excess of Par
Total amount Received :
Preferred Stock Par Value = 4,750 Shares at 100 = $475,000
Paid up Capital in excess of Par = 4,750 Shares at 30 = $ 142,500
Total Received = $ 617,500
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Which sum or difference is modeled by the algebra tiles?
As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.
what is expression ?It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.
given
To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2
Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6
Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2
Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4
= 2x2 + 2x + 2
As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.
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The complete question is:-
Select the correct answer.
Which sum or difference is modeled by the algebra tiles?
A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2
B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2
C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2
D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2
1.7x10^4x8.5x10^-2 in standard form
[tex](1.7\times 10^{4})(8.5\times 10^{-2})\implies (1.7\times 8.5)(10^4\times 10^{-2}) \implies (1.7\times 8.5)(10^{4-2}) \\\\\\ (1.7\times 8.5)(10^2)\implies (14.45)(10^2)\implies 14.45\times 100\implies 1445[/tex]
The function f(x) = x^3 is transformed to f(x) = 4x^3. Which statement describes the graph of the transformed function?
A. The graph was translated up by 4 units.
B. The graph was stretched horizontally by a factor of 4.
C. The graph was translated down by 4 units.
D. The graph was stretched vertically by a factor of 4.
Answer:
D
Step-by-step explanation:
You just multiplied it times 4 ....it is four times taller
