Answer:
[tex]k(2) = 3[/tex]
[tex]t = 4[/tex]
Step-by-step explanation:
Given
[tex]k(t) = 2t - 1[/tex]
Solving (1): k(2)
Take t as 2 such that t = 2
This gives
[tex]k(2) = 2 * 2 - 1[/tex]
[tex]k(2) = 4 - 1[/tex]
[tex]k(2) = 3[/tex]
Solving (2): k(t) = 7
Substitute 7 for k(t)
[tex]7 = 2t - 1[/tex]
Add 1 to both sides
[tex]7 + 1 = 2t - 1 + 1[/tex]
[tex]2t = 8[/tex]
Divide both sides by 2
[tex]t = \frac{8}{2}[/tex]
[tex]t = 4[/tex]
12. Higher order Thinking is the Product of two irrational numbers always an irrational number ? Explain
Answer:
Not always but sometimes
Step-by-step explanation:
The product of two irrational numbers is sometimes and not always an irrational number.
So, Let us take two Example:
Example # 1:
Let the two irrational numbers be [tex]\sf \sqrt{37} \ and \ \sqrt{2}[/tex]
So, Multiplying these will give us
=> [tex]\sf \sqrt{37} * \sqrt{2}[/tex]
=> [tex]\sf \sqrt{74}[/tex]
Which is an irrational number.
Example # 2:
Let the two irrational numbers be [tex]\sf \sqrt{2} \ and \ \sqrt{2}[/tex]
So, Multiplying them would give us:
=> [tex]\sf \sqrt{2} * \sqrt{2}[/tex]
=> [tex]\sf (\sqrt{2} )^2[/tex]
=> 2
Which is a rational number.
This means that the product of two irrational numbers is not always an irrational number but sometimes an irrational number.
What’s the number between -6 and -7 on a number line
Answer: -6.5
Step-by-step explanation:
To find the number between them,find their average or mean .
-6 + -7 = -13
-13/2 = -6.5
The number between them is -6.5
Prove that the EOQ cost function can be rewritten as
g(Q) = h/2 * Q(Q - underroor 2K/h) + underroot 2Kh
Use this to prove without using calculus.
Answer:
the EOQ cost function [tex]\mathbf{g(Q)= \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}}[/tex]
Step-by-step explanation:
Given that:
[tex]g(Q) = \dfrac{h}{2 \lambda Q} \begin {pmatrix} Q- \sqrt{\dfrac{2 K \lambda}{h}} \end {pmatrix}^2 + \sqrt{\dfrac{2 Kh}{\lambda}}[/tex]
Total cost = Purchase Cost + Ordering Cost + Holding Cost
i.e
T = [tex]P \lambda + h \dfrac{Q}{2}+\dfrac{\lambda K}{Q}[/tex]
By differentiating with respect to Q and equating to zero, we have:
[tex]0 = 0 +\dfrac{h}{2}- \dfrac{\lambda K}{Q^2}[/tex]
[tex]Q* = \sqrt{\dfrac{2 k \lambda}{h}}[/tex]
Now;
[tex]T = P \lambda + \dfrac{h}{2Q}(Q-Q^*)^2 + hQ^*[/tex]
[tex]T = \dfrac{h}{2Q}(Q- \sqrt{\dfrac{2 \lambda K}{h}})^2 + \sqrt{2 hK \lambda } + P \lambda[/tex]
[tex](\dfrac{T - P \lambda}{\lambda }) = \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}[/tex]
Therefore:
the EOQ cost function [tex]\mathbf{g(Q)= \dfrac{h}{2 \lambda Q}( Q- \sqrt{\dfrac{2 \lambda K }{2}})^2 + \sqrt{\dfrac{2 h K}{\lambda}}}[/tex]
Which value of x is a solution of the equation 4(x + 3)- 10 = 6(x - 2)?
Answer:
X=7
Step-by-step explanation:
4(x+3) - 10=6 ( x-2)
multiply
4x +12 - 10 = 6x - 12
4x + 2 = 6x- 12
subtract the positive 2 to the -12
4x = 6x -14
subtract 6x to the 4x
-2x = -14
divide -2 from the -14 (neg divided by a neg = positive)
x= 7
2r-6+5r=3-r+7
pls explain how you get the answer. thanks
Answer:
r=2
Step-by-step explanation:
2r-6+5r=3-r+7
7r-6=10-r
7r+r=10-6
8r=16
r=2
P (x) is a polynomial. Here are a few values of P (x): P(-5)=-2 and P (5)=-1 What is the remainder when P(x) is divided by (x+5)? (Answer choices in the picture)
Answer:
– 2
Step-by-step explanation:
From the question given above, the following data were obtained:
P(x) = polynomial
P(–5) = – 2
P(5) = –1
Remainder when P(x) is divided by
(x + 5) =?
To obtain the remainder when P(x) is divided by (x + 5), we shall apply the reminder theorem as follow:
Let (x + 5) be equal to 0
(x + 5) = 0
x + 5 = 0
Subtract 5 from both side
x + 5 – 5 = 0 – 5
x = –5
Replace x in P(x) with –5 as shown below:
P(x) = polynomial
x = – 5
P(–5)
From the question given above,
P(–5) = – 2
Therefore, when P(x) is divided by
(x + 5), the remainder is – 2.
3(2x-1)=4x+12 what value of X satisfies the equation above
Answer:
[tex]x = \frac{15}{2} \\\\x =7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]3\left(2x-1\right)=4x+12\\\\\mathrm{Expand\:}3\left(2x-1\right):\quad 6x-3\\6x-3=4x+12\\\\\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\6x-3+3=4x+12+3\\\\Simplify\\6x=4x+15\\\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\6x-4x=4x+15-4x\\\\Simplify\\2x =15\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2x}{2}=\frac{15}{2}\\\\Simplify\\x = 15/2[/tex]
Answer:
[tex]7\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]3(2x-1)=4x+12\\[/tex]
Use 3 to open the bracket
[tex]3(2x-1) = 6x -3\\\\ 6x-3 = 4x+12\\[/tex]
Collect like terms and simplify
[tex]6x-4x = 12+3\\2x = 15[/tex]
Divide both sides of the equation by 2
[tex]\frac{2x}{2} = \frac{15}{2} \\\\x = \frac{15}{2} = 7\frac{1}{2}[/tex]
HELP ASAP!!! To make a quiche, you need 1 tablespoon of butter for every 6 eggs. Write a ratio that compares these two quantities. Which ratios are equivalent to this ratio? Check all that apply. StartFraction 12 eggs Over 2 tablespoons EndFraction StartFraction 15 eggs Over 3 tablespoons EndFraction StartFraction 24 eggs Over 4 tablespoons EndFraction StartFraction 9 eggs Over 1.5 tablespoons EndFraction
Answer:
Options A, C and D.
Step-by-step explanation:
It is given that, we need 1 tablespoon of butter for every 6 eggs to make a quiche.
Ratio that compares these two quantities [tex]=\dfrac{6\text{ eggs}}{1\text{ tablespoons} }[/tex]
We need to find the ratios which are equivalent to this ratio.
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{2}{2}=\dfrac{12\text{ eggs}}{2\text{ tablespoons} }[/tex]
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{3}{3}=\dfrac{18\text{ eggs}}{3\text{ tablespoons} }\neq \dfrac{15\text{ eggs}}{3\text{ tablespoons} }[/tex]
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{4}{4}=\dfrac{24\text{ eggs}}{4\text{ tablespoons} }[/tex]
[tex]\dfrac{6\text{ eggs}}{1\text{ tablespoons} }\times \dfrac{1.5}{1.5}=\dfrac{9\text{ eggs}}{1.5\text{ tablespoons} }[/tex]
Therefore, the correct options are A, C and D.
Answer:
A,C,D
HOPE THIS HELPS!
Priya and Tyler are discussing the figures shown below. Priya thinks that B, C, and
D are scaled copies of A. Tyler says B and D are scaled copies of A. Do you agree
with Priya, or do you agree with Tyler? Explain your reasoning.
A
B
C
D
Answer:
No, I do not agree with them. Both are wrong.
Step-by-step explanation:
For a shape or figure to be considered a scaled copy of another, the length of all the segments of scaled copy must be equal to the length of all corresponding segments of the original figure multiplied by the same scale factor.
By examining the scaled copies B, C, and D, we would conclude that only D can be referred to as a scaled copy of D, because all the segments are exactly twice the corresponding segments of A. C and B do not have all its segment scaled in the same proportion.
Therefore, we cannot agree with Priya, nor Tyler. They are both wrong.
Find the missing number to make the average correct. The average of 11, 17, 18, and ? is 17.
Answer:
The missing number is:
22
Step-by-step explanation:
There are 3 numbers and one more
4 numbers and your average is 17
then:
17*4 = 68
then:
11 + 17 + 18 + a = 68
46 + a = 68
a = 68 - 46
a = 22
Check:
(22 + 11 + 17 + 18)/4 = 17
68/4 = 17
Compete the equatuon descibing how x and y are related
Solve: 2x + 4 = 12. Show your work!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{2x + 4 = 12}[/tex]
Move 4 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{2x = 12 - 4}}[/tex]
Subtract 4 from 12
[tex] \dashrightarrow{ \sf{2x = 8}}[/tex]
Divide both sides by 2
[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{8}{2} }}[/tex]
Calculate
[tex] \dashrightarrow{\sf{x = 4}}[/tex]
Hope I helped!
Best regards! :D
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]2x+4=12[/tex]
To solve this equation, first we must minus out(subtract) 4 from both sides of the equation.
[tex]2x+4-4=12-4[/tex]
This equals [tex]2x=8[/tex]
Now we will make this into a fraction and divide the sides by 2.
[tex]\frac{2x}{2}[/tex] equals to [tex]\frac{8}{2}[/tex]
Now we got an answer!
[tex]x=4[/tex]
Hope this helps!
Mark is three times as old as Julie. The sum of their ages is 56. How old is Mark? If J = Julie's age and M = Mark's age, which system of equations could be used to solve the problem? 3J = M and J + M = 56 J = 3M and J + M = 56 J = 3M and JM = 56
Answer:
Mark is 42. 3J = M and J + M = 56
Step-by-step explanation:
Since Mark is 3 times as old as Julie, and the sum of their ages is 56, you could divide 56 by 4 (one time because of Julie’s age, the other 3 times because of how many times Mark is older than Julie) You would get 14. That means that Julie is 14. To find Mark’s age, you would multiply 14 (Julie’s age) by 3. The answer would be 42.
zane bought a pair of jeans that originally cost $56. he used a coupon for 25% off and paid$8 in sales tax
Answer:
$38.64
Step-by-step explanation:
so the equation needed to solve is $56*0.25 and that number is 14. Since it is a coupon you subtract 14 from 56 and end up with 42. Now multiply 0.08*42 and you got your sales tax, $3.36. now subtract that from 42 and you have your answer
Answer:
He paid 50 dollars
Step-by-step explanation:
25% off = 75/100 x 56 = 42
42 + 8 = 50
if this question is about what percentage the tax is, then the answer would be 19.05%
x/100 x 42 = 50
42x/100 = 50
42x = 5000
x = 5000/42
x = 119.05
119.05 - 100 = 19.05%
x-c= y-rd, for x . . . . . . . . . . . . . .
Answer:
x = y - rd + c
Step-by-step explanation:
x - c = y -rd
x = y - rd + c
What number is greater than 271,680 but less than 276,108
Answer:
276,108 < x < 271,680
Step-by-step explanation:
*Hope this helped*
There are two different music download companies that offer a monthly plan for downloading songs. S-Jams charges $1.29 per song plus $10 monthly fee. C-tunes charges $0.99 per song plus $16 monthly fee. When will the company’s plans cost the same? Write an expression for the cost of S-Jams.
Answer:
Thus, when both S-jams and C-tunes have 20 songs downloaded in a month , the cost will be same.
an expression for the cost of S-Jams $0.99n + $16
Step-by-step explanation:
For
S-Jams
cost of 1 song = $1.29
let there be n songs downloaded in a month
then
cost of n songs = n*cost of 1 song = $1.29n
monthly fee = $10
Total cost of S-Jams = $1.29n+$10
________________________________________
For
C-Tunes
cost of 1 song = $0.99
let there be n songs downloaded in a month
then
cost of n songs = n*cost of 1 song = $0.99n
monthly fee = $16
Total cost for C-Tunes= $0.99n + $16
we have to find When will the company’s plans cost the same.
Total cost of S-Jams = Total cost of C- Tunes
1.29n+10 = 0.99n + 16
=> 1.29n - 0.99n = 16-10
=> 0.30n = 6
=> n = 6/0.3 = 20
Thus, when both S-jams and C-tunes have 20 songs downloaded in a month , the cost will be same.
an expression for the cost of S-Jams $0.99n + $16
I need help with this question
6^2-3*(3^2*2)+5
Answer:
-13
Step-by-step explanation:
Simplify the following:
6^2 - 3×3^2×2 + 5
3^2 = 9:
6^2 - 3×9×2 + 5
9×2 = 18:
6^2 - 318 + 5
6^2 = 36:
36 - 3×18 + 5
-3×18 = -54:
36 + -54 + 5
| 1 |
| 3 | 6
+ | | 5
| 4 | 1:
41 - 54
41 - 54 = -(54 - 41):
-(54 - 41)
| 5 | 4
- | 4 | 1
| 1 | 3:
Answer: -13
The following table presents the time taken to review articles that were submitted for publication to a particular journal during a recent year. A few articles took longer than 6 months to review; these are omitted from the table. Consider the data to be a population. (image) (a) Approximate the variance of the times. Round the answer to at least two decimal places. The variance is (b) Approximate the standard deviation of the times. Round the answer to at least two decimal places. The standard deviation is
Answer:
Variance = 0.1645
Standard deviation = 0.4056
Step-by-step explanation:
Kindly check attached picture for detailed explanation
Can some body please help me with #12 pleassssssse T^T
Demitrius deposited $41.67, which was 60% of his paycheck.
Using this, we can make an equation.
If x is the amount of his paycheck,
[tex]0.6x=41.67[/tex]
[tex]x=69.45[/tex]
The value of the paycheck was $69.45.
Hope this helps.
頑張って!
30 points, help would be appreciated :)
Answer:
the answer is 77°
Step-by-step explanation:
26 +51 is 77 and they're opposite angles
Select all the properties that can be used to solve 7y – 15 = –29. Group of answer choices Distributive Property Commutative Property of Addition Identity Property of Multiplication Inverse Property of Multiplication Addition Property of Equality
Answer:
Property of Equality
Y= -13/7
Step-by-step explanation:
7y – 15 = –29.
Applying rule of equality which is"anything done on one side of the equal sign should be done also on the other side of the equal sign"
7y – 15 = –29.
Adding 15 to both sides
7y - 15+15= -28+15
7y= -13
Dividing throughout by 7
7y/7= -13/7
Y= -13/7
The tempature in Frwnoo is 71.8.
Round this temp. to nearest whole number.
Answer:
72
Step-by-step explanation:
Round to nearest whole number.
71.8 is rounded to 72.
72 is the answer to your question.
90 POINTS & Brainliest Is the following relation a function? Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 2, 4, and negative 1. The y circle contains the numbers 2, negative 2, and 1. Arrows map numbers from x to numbers from y. There are arrows going from 6 to negative 2, from negative 2 to 2, from 4 to 1, and from negative 1 to 1. Yes
Using the numbers you have :
6 to -2
-2 to 2
4 to 1
-1 to 1
This is a function.
An input can only have one output, but an output can have multiple inputs.
We can make a table with the values we are given.
6 and -2
4 and -1
2 and 2
-2 and 1
Since no x-value repeats itself, it is a function. To make a function, no x-values can be repeated.
Best of Luck!
Can someone help my son with this it’s homework and he don’t understand it
Hey there! I think the answer is (-1,3)
The difference of two times a number and three
Answer:
2n - 3
Step-by-step explanation:
The difference of implies a subtraction between two terms. Two times a number, implies some number being multiplied by two. Hence, we can build the expression:
2n - 3
Where n represents the unknown number.
Cheers.
Al terminar de pintar la puerta de su recamara Gerardo observó que le quedaron 3/4 de litro de pintura, sí utilizó 5/8 de litro en pintar, ¿cuánta pintura tenía antes de empezar a pintar?
Answer: Tenias 1 3/8 de litros.
Step-by-step explanation:
Necesitas de sumar lo que quedo y lo que uso Gerardo, pero el 8 y el 4 necesitan de ser iguales. Si multiplicas 4x2 te da 8 y serían iguales. As lo mismo con el tres: 3x2 y te da 6. Suma el 6 por 5 y te da 11/8. Simplifica y te dará 1 litro y 3/8.
Find the area and perimeter of the rectangle Length = 5cm Breadth =2cm
Answer:
perimeter: 14
Area: 10
Step-by-step explanation:
PERIMETER
2x(L+B) = 2x(5+2) = 2x(7) = 14
AREA
LxB = 5x2 = 10
PLEASE MARK ME BRAINLIEST
While riding on a carousel, Angela travels a distance of 65 meters every 15 seconds. What is her speed in kilometers per hour? A. 3.9 km/hr B. 14.4 km/hr C. 15.6 km/hr D. 156.0 km/hr
HELP ASAP ILL GIVE YOU ALL!!! What is the coefficient of (6x^2-4x-5)-
Answer:
32x-5
Step-by-step explanation:
6x^2-4x-5
36x-4x-5
32x-5