Answer:
[tex] \frac{(c - 7)}{2} = - 5 \\ c - 7 = - 5 \times 2 \\ c - 7 = - 10 \\ c = - 10 + 7 \\ c = - 3[/tex]
I hope I helped you^_^
Show ALL STEPS You may use the Balance Strategy Game to help.
x/2+x/4=5
Is -√15 an imaginary or irrational number?
Answer:
irrational
[tex]\sqrt{-15}[/tex] would be imaginary
Step-by-step explanation:
Hey there! I'm happy to help!
An irrational number is a real number that can't be written as a ratio of two other integers (non-fraction numbers) so a number like π or √2.
An imaginary number is one that breaks a mathematical rule so it can't necessarily exist as a real number. The main imaginary number is i, and here is the thing it does that breaks the rules and makes it imaginary:
i²=-1
so
√-1=i
We know that you cannot square a real number and have it be negative because a negative number can only be obtained by multiplying a positive and a negative number. This also shows us that there cannot be a square root of a negative number.
We have the number -√15. The placement of that negative sign is CRUCIAL! The square root of any positive integer is going to be a real number, but the square root of a negative number is nonexistent aka imaginary. √-15 would be an imaginary number, but we have -√15, which is the same thing as -1·√15. The negative sign is not inside the square root, which makes it not imaginary, so this is an irrational number. You can plug it into a calculator and it would be -3.872983346....
Have a wonderful day and keep on learning :)
upon receiving your first salary, you deposited 3000 taka monthly in a fund for your future for 18 years. the fund earns 6% interest rate compounded monthly. after 18 years, you want it to make payments at the end of every quarter for five year 4.5% compounded quarterly, what is the amount of each annuity payment to you?
The Annuity payment will be "65,209.35 Taka". A further solution is provided below.
Given:
Monthly payment,
= 3000 Taka
Interest rate,
= 6% (compounded monthly)
Time,
= 18 years
The Future value will be:
→ [tex]FV = PMT\times \frac{((1+r)^{nt}-1)}{r}[/tex]
By putting the values, we get
[tex]=3000\times \frac{((1+\frac{6}{12\times 100} )^{12\times 18}-1)}{\frac{6}{12\times 100} }[/tex]
[tex]=3000\times \frac{((1+\frac{6}{1200} )^{216}-1)}{\frac{6}{1200} }[/tex]
[tex]=1,162,059.58 \ Taka[/tex]
hence,
The Annuity payment will be:
→ [tex]P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-4\times 5}}[/tex]
[tex]=P=\frac{PV(\frac{r}{n\times 100} )}{1-(1+\frac{4.5}{4\times 100} )^{-20}}[/tex]
By substituting all the values, we get
[tex]=65,209.35 \ Taka[/tex]
Thus the correct answer is "65,209.35 Taka".
Learn more the Annuity payment here:
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Write the equation in slope-intercept form. y = 6(x + 2) + 5x
Answer:
y=11x+12
Step-by-step explanation:
y = 6(x + 2) + 5x
y=6x+12+5x
y=11x+12
in slope interception form= y=mx+c
y=11x+12
Which expressions are equivalent to 2 (5x - 3/4)? click two or more answers
A) -2 (5x) + (-2) (-3/4)
B) -10x - 3/4
C) -10x + 6/2
D) -10x + 3/2
E) -10x - 6/2
Please help explanation if possible
Answer:
Step-by-step explanation:
Subtract 3x from both sides
3x - 3x - 2y = -3x + y
Combine
-2y = - 3x + 7
Divide by - 2
-2y/-2 = -3x/-2 + 7/-2
y = 3x/2 - 7/2
hi, please solve these three questions for me, i have to shoe solving steps.
question 3
Step-by-step explanation:
i only able to show you the step of question 3..so sorry
PLZ ANSWER QUICK
Forest has a box of 12 candies. The Venn diagram below shows how many candies contain chocolate, coconut, both, or neither. Complete the following two-way frequency table.
Answer: Answer is in the image below.
Step-by-step explanation:
If m∠A = m∠B and m∠A + m∠C = m∠D, then
m∠B + m∠C = m∠D.
Answer:
True. The statement is also equivalent to: If m<B + m<C does not equal m<D, then m<A does not equal m<B and m<A + m<C is not equal to m<D.
Will mark brainlest helppppppp
Answer:
6
Step-by-step explanation:
again ?
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
The number has 2022 digits 7 when divided by 15, what is the decimal part of the quotient?
Answer:
7 is divided by 15 =0•4666666667
Which inequality is represented by the graph?
Answer:
It will be -5≤×≤4
(PICTURE) Im really struggling with questions like these at the moment, if you could please help me out thank you
Answer:
Arthur should select the Mount Joy Pool when there are less than 10 people at the party
Step-by-step explanation:
The initial fee to rent the Woodbridge Pool = $50
The additional fee per person after renting = $5
The initial fee to rent at Mount Joy Pool = 0 (no initial fee)
The fee per person at Mount Joy Pool = $10
The equation of a straight line is y = m·x + c
Ley y represent the total cost of renting the pool, x, represent the number of persons in the pool, m represent the fee per person and c represent the initial charges, we get;
The total cost of renting Woodbridge Pool, y = 5·x + 50
The total cost of renting the Joy Pool, y = 10·x
Equating both values of y gives;
5·x + 50 = 10·x
∴ 5·x = 50
x = 50/5 = 10
x = 10
From the above equations, the cost of renting the pool is lower for the Joy Pool when there are less than 10 persons at the pool
It will cost the same amount to rent the pool when the number of persons in the pool are 10 persons and the cost of renting the Mount Joy Pool will be more than the cost of renting the Woodbridge Pool, when there are more than 10 persons
Therefore, Arthur should select the Mount Joy Pool when there are less than 10 people at the party.
From an 80ft building the angle of elevation of the top of a taller building is 59 degrees and the angle of depression of the base of this building is 65 degrees determine the height of the taller building
Answer:
First we find the distance between the two buildings =
Step-by-step explanation:
[tex] \frac{80}{ \tan(65) } = 37.3 ft[/tex]
then the upper part of the taller building =
[tex]37.3 \times \tan(59) = 62 \: ft[/tex]
Now the total height of the taller building
[tex]80 + 62 = 142 \: ft[/tex]
Write a function rule for table
Is it a, b, c or d?
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 5 ) ← 2 ordered pairs from the table
m = [tex]\frac{5-4}{2-1}[/tex] = [tex]\frac{1}{1}[/tex] = 1
The line crosses the y- axis at (0, 3 ) → c = 3
y = x + 3 ← equation of line → A
PLEASE HELP 25 MINUTES LEFT
38
Marlene wrote an arithmetic sequence where al
=
8 and the common difference is -3.
What is a rule for the nth term of this sequence?
Answer:
D
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 8 and d = - 3 , then
[tex]a_{n}[/tex] = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D
Consider the following polynomial expression: 4x5 - 16x2 + 13x8.
Part D: what is the leading term ?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]13x^8[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]4x^5 - 16x^2 + 13x^8[/tex]
The leading term contains the highest power of 'x'.Since 8 is greater than 5 and 2, the leading term in the give in polynomial would be [tex]13x^8[/tex].⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A bus has velocity 20m/s towards east and another bus has velocity 15m/s in West direction.If they start to move from a point simultaneously.What distances do they covered in 2 minutes.
Answer:
4,200 m or 4.2 km.
First bus: 2400 m
2nd bus: 1800 m.
Step-by-step explanation:
Their combines speed is 20+15 = 35m/s.
Distance = speed * time
2 minutes = 120 seconds so
D = 35 * 120
= 4200 m.
Splitting the distances:
The first bus covers 20 * 120 = 2400m
The second bus covers 15*120 = 1800m.
Answer:
4200m
Step-by-step explanation:
If two objects A and B are moving in the opposite direction with speed xm/s and ym/s respectively,then;
Relative speed =(x+y)m/s
: Relative speed = 20+15=35m/s
time =2min=160sec
DISTANCE=SPEED ×TIME
D=35×120=4200
4200m
1) 4+8r-6r=6+2r
2) 1-3x=-6+7-2x-x
1:-
[tex]\\ \sf \longmapsto 4+8r-6r=6+2r[/tex]
[tex]\\ \sf \longmapsto 4+2r=6+2r[/tex]
[tex]\\ \sf \longmapsto 2r-2r=6-4[/tex]
[tex]\\ \sf \longmapsto 0=2[/tex]
[tex]\\ \sf \longmapsto r=\infty[/tex]
2:-
[tex]\\ \sf \longmapsto 1-3x=-6+7-2x-x[/tex]
[tex]\\ \sf \longmapsto 1-3x=1-3x[/tex]
[tex]\\ \sf \longmapsto 0=0[/tex]
[tex]\\ \sf \longmapsto x=\infty[/tex]
8x(x-2017)-2x+4034=0
Answer:
¼ và 2017
Step-by-step explanation:
[tex]\sqrt{x - 5} - \sqrt{3 - 2.x} = 0[/tex]
Answer:
x = 8/3
Step-by-step explanation:
Copy the right side of the given to the right side of the equation.
sqrt(x - 5) = sqrt(3 - 2x) Square both sides.
x - 5 = 3 - 2x Add 2x to both sides
2x + x - 5 = 3 Combine
3x - 5 = 3 Add 5 to both sides.
3x = 3 + 5 Combine
3x = 8 Divide by 3
x = 8/3
.......plz answer it plz
Answer:
a: x=90 b: x=45 y=45 c: y=68 x=68
What is the measure of m?
6
3
18
n
m =
=
[?]
Answer:
6/n = n/18
n^2 = 108
n = sqrt 108
a^2 + b^2 = c^2
36 + 108 = m^2
144 = m^2
m=12
Let me know if this helps!
Five consecutive multiples of 7 have a sum of 350. What is the smallest of these numbers?
A. 70
B. 56
C. 77
D. 84
Answer:
B. 56
Step-by-step explanation:
x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350
( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350
5x + 70 = 350
- 70 - 70
_____________
5x = 280
x = 56
Hope this helps!
The smallest number is 56, the correct option is B.
What is Sum?The sum is the output of the mathematical operation, Addition.
Let the first number is x, they are multiples of 7,
As they are multiples of 7, the consecutive numbers will be added by 7 for next term.
The 5 consecutive numbers can be written as x, (x+7), (x+14), (x+21), (x+28).
The equation can be formed for the numbers that are given as,
An equation is a mathematical statement that relates an algebraic expression with other expression by an equal sign.
The sum of the multiples is 350
x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350
Grouping the variables and the constants separately
( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350
5x + 70 = 350
Adding (-70) to both sides of the equation
5x = 280
Dividing both sides by 5
x = 56
The value of the first number of the series is obtained.
The first value is the smallest number of the series.
To know more about Sum
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How do I solve part c
Answer:
A possible answer could be 2√2. It depends where points B and C would be. I guess this information was given in the parts A and B.
Step-by-step explanation:
See picture attached
Cylinder A has a radius x and height y. Cylinder B has radius y and height x. What is the ratio of the volume of Cylinder A to the volume of cylinder B
Answer:
Step-by-step explanation:
Draco is a daddy’s boy
The number of dogs a family has and the amount of floor cleaner used are known to have a strong positive association. Jaylen concluded that the number of dogs causes an increase in floor cleaner usage. Is Jaylen's conclusion valid? Explain.
Answer:
Jaylen's conclusion is not valid because association does not imply causation.
Step-by-step explanation:
A trapezoid is a polygon that has exactly one pair of parallel sides.
Select one:
True
False
false dsddsfsdfsfdfdsfdsdfsdfsdsfdfsfdsdfsdfsdfsfdsfd
To avoid the problem of having access to tables of the F distribution with values for the lower tail when a one-tailed test is required, let the _____ variance be the numerator of the test statistic. a. sample variance from the population with the larger hypothesized b. larger sample c. sample variance from the population with the smaller hypothesized d. smaller sample
Answer:
The answer is "Option b".
Step-by-step explanation:
The significant variance shows that the numbers in the set are far from the mean and far from each other as well. Alternatively, a little variation implies the reverse. The variance value of 0, on either hand, shows that all values inside a set of numbers are the same. If you need yet another test, use a greater sample variance as the numerator of the test statistic to avoid having to reference tables of the F distribution that primary device from of the lower tail.
Find the ratio of 5 degree and (pi/6)^c
