Multiplicative Identity Property
Step-by-step explanation:Using math properties like the multiplicative identity property we can solve different expressions and equations.
Definition of Multiplicative Identity Property
The multiplicative identity property states that any number multiplied by 1 equals itself. This means that 18 x 1 = 18. Of course, since this is a property we can apply this idea to any equation.
-56 x 1 = -561 x π = π∞ x 1 = ∞All of the statements above are true because of the multiplicative identity property.
Uses of the Multiplicative Identity Property
While being able to do simple operations with this property is helpful, there are other uses as well. One of the most prominent uses is finding a great common factor. When adding or subtraction fractions, you must have a GCF. We can use the multiplicative identity property to do this.
Take the expression
[tex]\displaystyle\frac{5}{6}-\frac{2}{3}[/tex]To solve this we must multiply [tex]\frac{2}{3}[/tex] by [tex]\frac{2}{2}[/tex]. The multiplicative identity property tells us that since 2/2 = 1, this will not affect the value of the expression (remember that anything times 1 is still equal to itself).
[tex]\displaystyle\frac{2}{3}*\frac{2}{2} =\frac{4}{6}[/tex]Then, we can solve the expression.
[tex]\displaystyle\frac{5}{6} -\frac{4}{6} =\frac{1}{6}[/tex]
You invested money in a company and each month you receive a payment for your investment. Over the first four months, you received $ 50, $ 52, $ 56 , and $ 62 . If this pattern continues, how much do you receive in the tenth month?
a. What pattern do you see between consecutive terms?
Answer:
the amount received in the tenth month is $198
Find the 10 th term of each geometric sequence. a₁₁ =-5, r=-1/2
The 10th term of the geometric sequence with a(11) = -5 and r = -1/2 is a(10) = 10.
A geometric sequence is a sequence of numbers where the nth term is obtained by multiplying the (n-1)th term by a constant, called a common ratio (r). Mathematically, it can be expressed as:
a(n) = a(n-1) . r
So, if a(1), a(2), a(3), ..., a(n) is a geometric sequence, then:
a(2) = a(1) . r
a(3) = a(1) . r
and so on.
In the problem, the given parameters are: a(11) = -5 and r = -1/2, and we need to find a(10).
Using the above recursion:
a(11) = a(10) . r
-5 = a(10) . (-1/2)
Multiply both sides by (-2)
-5 . (-2) = a(10) . (-1/2) . (-2)
a(10) = 10
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A bag contains three red balls, one yellow ball and 2 green balls. two balls are drawn.the probability that at least one of the drawn balls is red?
Answer:
if the question is if the ball might be redor at least one of the balls will be red than yes I thik at least of them will be red if my answer helps at all.
PLEASE HELP
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y) are given in the accompanying table. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected test grade, to the nearest integer, for a student with a homework grade of 39. Homework Grade (x) Test Grade (y) 64 80 93 84 66 64 74 55 75 82 89 90 78 60 76 50
Answer: The linear regression equation which models the relationship between homework grade and test grade and the predicted homework grade are :y = 1.20x - 14.32Predicted, x = 69Using technology, the linear model can be obtained using either excel or a linear regression calculator. Using a linear regression calculator which gives the linear equation in the form :y = bx + c y = 1.20x - 14.32y = Test grade ; x = homework grade Slope, b = 1.20 ; intercept, c = - 14.32 Using the model equation obtained : Test grade, y = 68Homework grade, x y = 1.20x - 14.32 68 = 1.20x - 14.32 68 + 14.32 = 1.20x 82.32 = 1.20x x = (82.32 ÷ 1.20)x = 68.6x = 69 (nearest integer) Therefore, the estimated homework grade for a test score of 68 is 69
Step-by-step explanation: hope u get an a+!
Winston needs at least 80 signatures from students in his school before he can run for class president. He has 23 signatures are ready. He and two of his friends planted the remaining sutures during lunch. If each Person gets the same number of signatures, which inequality can Winston use to determine the minimum number of signatures each person should get so he can run for class president?
The inequality that Winston can use to determine the minimum number of signatures is 3x ≥ 57.
What is the inequality?The first step is to determine which inequality sign would be used.
The following are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The sign that would be used is the greater than or equal to sign - ≥ . This is because the number of signatures can be either equal to 80 or greater than 80.
The next step is to determine the least number of signatures needed : 80 - 23 = 57
3(number of signatures they would get) ≥ 57
3x ≥ 57
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Write each number as a percent.
0.5
What is p2 + 15 if p = −3?
answer:
9
explanation:
-3 * 2= -6
-6 + 15 = 9
Answer:
answer:
9
explanation:
-3 * 2= -6
-6 + 15 = 9
Step-by-step explanation:
The equation 3xy + y = 3xy^2 is (true/false) because a. you can combine all like terms with y in them. b. you can only combine like terms when they have the exact same variable or c. 3xy + y = 4xy
Answer:
b
Step-by-step explanation:
you can only combine like terms when they have the exact same variable ,
a variable can not add to any number which does not have any variable can not add to a variable.thqt is the way of my understanding
3v+2v=25+v=25
what is v?
Answer: see explanation
Step-by-step explanation:
The answer is very simple, you first do 3v + 2v which is 5v then you do 25 / 5 which is 5. This is your v (5). So the answer would be 5, you can ignore the 25+v this is there to confuse you.
Determine whether each sequence is geometric. If so, find the common ratio. 1, 1/2, 1/3, 1/4, . . . . .
The given sequence is not geometric.
What is a geometric progression?A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.
Given: [tex]1, \frac{1}{2}, \frac{1}{3},\frac{1}{4},...[/tex]
Here, [tex]\frac{\frac{1}{2}}{1} \neq \frac{\frac{1}{3}}{\frac{1}{2}}\neq \frac{\frac{1}{4}}{\frac{1}{3}}[/tex]
Since the given sequence does not follow the necessary condition for a sequence to be geometric, it is not the one.
Hence, The given sequence is not geometric.
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A store owner wants to develop a new snack mix by mixing chocolate and trail mix. how many pounds of chocolate costing $20.10 per pound should be mixed with 25 pounds of trail mix costing $2.80 per pound to create a mixture worth $8.41 per pound.
If a store owner wants to develop a new snack mix by mixing chocolate and trail mix, then the number of pounds of chocolate costing $20.10 per pound that should be mixed with 25 pounds of trail mix costing $2.80 per pound to create a mixture worth $8.41 per pound is equal to 11.99.
The pounds of chocolate needed to create a mixture worth $8.41 per pound can be calculated using an algebraic expression.
An algebraic expression can be defined as an expression consisting of both numbers and letters.
If x = the unknown pounds of chocolate
An algebraic expression can be given as,
20.10x + 2.80(25) = 8.41(x + 25)
Solving for x,
20.10x + 70 = 8.41x + 210.25
Rearranging,
20.10x - 8.41x = 210.25 - 70
11.69x = 140.25
x = 140.25 ÷ 11.69
x = 11.99
Hence, 11.99 pounds of chocolate costing $20.10 per pound should be mixed with 25 pounds of trail mix costing $2.80 per pound to create a mixture worth $8.41 per pound.
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Compare the graphs. Which statement describes the comparison correctly.
A. There is a gap in the data and an outlier in both graphs.
B. There is a gap in the data and no outlier in both graphs.
C. There is a gap in the data in one graph and no gap in the other graph.
D. There is an outlier and a gap in one graph but only a gap in the other graph.
(pic attached is both graphs being referenced in the answers)
Answer: its A. ^^
Step-by-step explanation:
The statement describing the comparison correctly is "There is a gap in the data and an outlier in both graphs" option (A) is correct.
What are statistics?Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.
It is given that:
The two-bar graph is given in the picture.
From the data given in the picture.
Both plots contain an outlier and a data gap.
Thus, the statement describing the comparison correctly is "There is a gap in the data and an outlier in both graphs" option (A) is correct.
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62÷5841 please I need to know
Answer: 0.01061462078411230953603834959767
Rounded to the nearest hundredth: 0.01
Hope this helps!!!
Answer:
0.010614621
Step-by-step explanation:
62÷5841 = 0.010614621
Hope this helps
Which expression is equivalent to 2
4√/23
√√25
O 4/43
√45
1
- IN
N
MI4
2
?
Answer:
√2⁵
Step-by-step explanation:
✅️✅️✅️✅️✅️✅️✅️✅️♀️♀️♀️
Answer:
[tex]\sqrt{2^{5} }[/tex]
It's B
Step-by-step explanation:
Look at the image
I hope this helps.
Mark me brainliest, please.
Write a flow proof.
Given: KM bisects ∠J M L ; ∠J ≅ ∠ L .
Prove: JM ≅ LM
We can say that JM ≅ LM is under the condition of corresponding to parts of congruent triangles (CPCT).
What exactly does this mean by the congruency of a triangle?Two triangles are said to be congruent if their three corresponding sides and angles are the same size.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are moved.Congruence exists when two triangles satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).So,
Given: KM bisects ∠JML; ∠J ≅ ∠LTo Prove: JM ≅ LMFirst, prove that △JMK ≅ △LMK.
∠J = ∠L = GivenKM = KM = Common∠JMK = ∠LMK = Given: KM bisects ∠JMLSo, △JMK ≅ △LMK under AAS condition.
Then, we can say that JM ≅ LM is under the condition CPCT.Therefore, we can say that JM ≅ LM is under the condition of corresponding to parts of congruent triangles (CPCT).
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You have $2 in your piggy bank and every day you get a $3 allowance for helping out at home. You are saving all of your money. pls help
Answer:
What are h saving all of your money for? if it’s for a week or day it’s 3 dollars a day if u want know how much u get ina week it’s 3x7 so u would get 21 dollars
Step-by-step explanation:
meaning of composite numbers
Answer:
which is divisible by manufacturers are called composite numbers
Write an explicit formula for each arithmetic sequence. -2,7,16,25, . . .
Explicit formula is [tex]a_{n}[/tex] =a + (n-1)d
Here in the explicit formula of the sequence -2, 7, 16, 25....
Formula
[tex]a_{n}[/tex] = a +(n-1)d
In the formula, n is any term number and a(n) is the nth term.
This formula allows us to simply plug in the number of the term we are interested in, and we will get the value of that term.
To find the 5th term, for example, we need to plug n = 5 into the explicit formula.
common difference(d) = 7 - (-2) = 16- 7 = 9
[tex]a_{5}[/tex] = -2 + 9( 5-1)
= -2 + 36
= 34
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Solve each equation. Check each solution. 4/x+3=5
The solution of the equation 4/x+3=5 is at x = -11/5.
According to the given question.
We have an equation 4/x+3=5.
As we know that, an equation is a condition on a variable such that two expressions in the variable should have equal value.
Therefore, the solution of the equation 4/x+3=5.
4/x+3 = 5
⇒ 4 = 5(x + 3) (multiplying both the sides by x + 3)
⇒ 4 = 5x + 15 (by distributive rule)
⇒ 4 - 15 = 5x
⇒ -11 = 5x
⇒ x = -11/5
Hence, the solution of the equation 4/x+3=5 is at x = -11/5.
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2 (x + 6) simplify please help.
will give brainlist if good response and has details to show steps
Answer:
2(x+6)
Use the distributive property to multiply 2 by x+6.
2x+12
Step-by-step explanation:
Answer:
2x+12
Step-by-step explanation:
you simply times what is inside the bracket with what is outside
2×x= 2x
2×6= 12
then just put them back to where they were before without the brackets so:
X+6--->2x+12
hope this helps lol
PLEASE HELP ME IF YOU ARE GOOD AT MATH!!!
Use the symmetric property of congruence to complete the following statement.
If ∠UPR≅∠FSJ, then ? ≅∠UPR.
By the symmetric property of congruence is ∠FSJ ≅∠UPR.
It is required to find the solution.
What is symmetry ?Symmetry is defined as a proportionate and balanced similarity that is found in two halves of an object, that is, one-half is the mirror image of the other half. A 2D shape is symmetrical if a line can be drawn through it and either side is a reflection of the other.
Given:
The symmetric property is if y = x then x = y. The order of what is on the left or right side of the equation does not matter. It's like saying 2+3 = 5 is the same as 5 = 2+3.
According to given question we have,
This idea can be extended to congruences because congruent angles have the same measure.
Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other.
So, ∠UPR ≅∠FSJ, then ∠FSJ ≅∠UPR.
Therefore, by the symmetric property of congruence is ∠FSJ ≅∠UPR.
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How do you solve 5(2x-1)=9x+2 as a proof?
How to solve:
7k + 6-3 = -4
Please show steps! (:
answer:
k= -1
Step-by-step explanation:
7k+3=-4
7k=-3-4
7k=-7
1k= -1
Given equation,
→ 7k + 6 - 3 = -4
Now solving for value of k,
→ 7k + 6 - 3 = -4
→ 7k + 3 = -4
→ 7k = -4 - 3
→ k = -7/7
→ [ k = -1 ]
Hence, the value of k is -1.
Solve the problem. Show your work. Responses will be graded using the short-response scoring rubric given at the beginning of the lesson.
A regular hexagon is inscribed in a circle with a diameter of 12 centimeters. What is the exact area of the hexagon?
Area of hexagon is 93.531cm².
In the given statement is:
A regular hexagon is inscribed in a circle with a diameter of 12 centimeters.
Diameter of a circle = 12 cm.
⇒Radius of a circle = 6cm.
Length of side of hexagon = 6cm
Area of regular hexagon = (3/2) × √3 × (side)²
⇒Area of regular hexagon = (3/2) × √3 × (6)²
= (3/2) × √3 ×36
= 54 × √3
= 93.531cm².
Hence, area of hexagon is 93.531cm².
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Help me with my assignment please.
Factor the ff.
1.) x² + 4x + 3
2.) y² - 5y + 6
3.) x² - 5x - 36
4.) y² + 5y - 14
Answer:
see explanation
Step-by-step explanation:
1
x² + 4x + 3
consider the factors of the constant term (+ 3) which sum to give the coefficient of the x- term (+ 4)
the factors are + 1 and + 3 , since
1 × 3 = + 3 and 1 + 3 = + 4 , then
x² + 4x + 3 = (x + 1)(x + 3)
2
y² - 5y + 6
consider the factors of the constant term (+ 6) which sum to give the coefficient of the y- term (- 5)
the factors are - 3 and - 2 , since
- 3 × - 2 = + 6 and - 3 - 2 = - 5 , then
y² - 5y + 6 = (y - 3)(y - 2)
3
x² - 5x - 36
consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (- 5)
the factors are - 9 and + 4 , since
- 9 × 4 = - 36 and - 9 + 4 = - 5 , then
x² - 5x - 36 = (x - 9)(x + 4)
4
y² + 5y - 14
consider the factors of the constant term (- 14) which sum to give the coefficient of the y- term (+ 5)
the factors are - 2 and + 7 , since
- 2 × 7 = - 14 and - 2 + 7 = + 5 , then
y² + 5y - 14 = (y - 2)(y + 7)
Answer:
Step-by-step explanation:
[tex]1)\\x^2+4x+3=\\x^2+3x+x+3=\\(x)(x+3)+(1)(x+3)=\\(x+3)(x+1)[/tex]
[tex]2)\\y^2-5y+6=\\y^2-3y-2y+6=\\(y)(y-3)-(2)(y-3)=\\(y-3)(y-2)[/tex]
[tex]3)\\x^2-5x-36=\\x^2-9x+4x-36=\\(x)(x-9)+(4)(x-9)=\\(x-9)(x+4)[/tex]
[tex]4)\\y^2+5y-14=\\y^2+7y-2y-14=\\(y)(y+7)-(2)(y+7)=\\(y+7)(y-2)[/tex]
9.
Farah buys
2 pens at 84p each
3 folders at £1.35 each
1 pencil case at £1.49
She pays with a £10 note.
Work out how much change Farah should get from £10.
Answer:
2 pen cost £84 each _ 2 ×84=168
3 folders cost £1.35 each_3×1.35=4.05
1 pencil cost £
A news reporter in a city with several carbon-emitting power plants wanted to see whether local temperatures matched trends in global climate change. She
focused on the four coldest months of the year.
The table shows local temperature data from November through February for the two consecutive cold seasons checked by the reporter.
Average Monthly Temperatures (°F)
2011-2012:
November 61 1
December 51 9
January 53.6
February 56.5
2012-2013:
Nov: 64.2
Dec:56 8
Jan;48.3
Feb: 55.1
How did the mean temperature change between the two cold seasons?
You may use the calculator.
OA.
went down by 1.40
OB.
went up by 0.3°
OC.
went up by 0.9°
OD.
went up by 3.70
The mean temperature change between the two cold seasons is (b) went up by 0.3°
How to compare the mean values of both seasons?The given parameters are:
2011-2012:
November 61 1December 51 9January 53.6February 56.52012-2013:
Nov: 64.2Dec:56 8Jan;48.3Feb: 55.1The mean is calculated as
Mean = Sum/Count
So, we have
2011 - 2012 mean = (61.1 + 51.9 + 53.6 + 56.5)/4
Evaluate
2011 - 2012 mean = 55.8
Also, we have
2012 - 2013 mean = (64.2 + 56.8 + 48.3 + 55.1)/4
Evaluate
2012 - 2013 mean = 56.1
The difference in these mean values are
Difference = 56.1 - 55.8
Evaluate
Difference = 0.3
Hence, the mean temperature change between the two cold seasons is (b) went up by 0.3°
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(2x³ – y³)²
How do I solve it?
Answer:
Below in bold.
Step-by-step explanation:
(2x³ – y³)²
= (2x³ – y³)(2x³ – y³) Using the Distributive Property:
= 2x³(2x³ – y³) - y³(2x³ – y³)
= 2x⁶ - 2x³y³ - 2x³y³ + y⁶
= 2x⁶ - 4x³y³ + y⁶
A new long-life tire has a tread depth of 7/16 inches, instead of the more typical 7/32 inches. How much deeper is the new tire?
Answer: The new tire is 7/32 of an inch deeper, or twice as deep.
Step-by-step explanation: The answer can be found by subtracting the old tire length from the new tire length. We must first find a common denominator. To do that, we multiply both the top and bottom of 7/16 by two and get 14/32. Now we subtract 7/32 (old tire) from 14/32 (new tire) to get 7/32.
solve for x in each equation below
Answer:
a. 3(x-7)+2=2x-1
3x-21+2=2x-1
3x-19=2x-1
+19 +19
3x=2x+18
-2x -2x
x=18
b. 2x-(5-x)=3x+2(x-7)
2x-5+x=3x+2x-14
3x-5=5x-14
-14 -14
3x+9=5x
-3x -3x
9/2=2x/2
x=9/2
