Answers
Answer:
15.4z−12
Step-by-step explanation:
Distribute:
7.4z+(−5)(−1.6z)+(−5)(2.4)
7.4z+8z+−12
Combine Like Terms:
7.4z+8z+−12
(7.4z+8z)+(−12)
15.4z+−12
Answer:
12*(x-1)
Step by Step Solution
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "2.4" was replaced by "(24/10)". 2 more similar replacement(s)
STEP
1
:
Simplify 12/5
Equation at the end of step
1
:
4x-(5•((0-(16/10•x))+12/5))
STEP
2
:
Simplify 8/5
Equation at the end of step
2
:
4x - (5 • ((0 - (8/5 • x)) + 12/5))
STEP
3
:
Adding fractions which have a common denominator :
3.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-8x + 12 /5 = 12 - 8x/5
Equation at the end of step
3
:
4x - (5 • (12 - 8x)/5)
STEP
4
:
STEP
5
:
Pulling out like terms :
5.1 Pull out like factors :
12 - 8x = -4 • (2x - 3)
Equation at the end of step
5
:
4x - -4 • (2x - 3)
STEP
6
:
STEP
7
:
Pulling out like terms :
7.1 Pull out like factors :
12x - 12 = 12 • (x - 1)
Final result :
12 • (x - 1)
Related Questions
Determine the Value of x for the diagram shown.
A) 30
B) 45
C) 60
D) 80
Answers
180 - 120 = 60 so that gives you the angle next to 120 then since it’s an isosceles triangle the next 2 angles are going to be the same because of the 2 dash’s so you do 180 - 60 = 120
120 divided by 2 equals 60
Overview
10
Question Progress
Homework Progress
43 / 50 Marks
Which two numbers have a mean of 10 and a range of 4?
Answers
Answer:
I belive the correct answers are 8 and 12
Step-by-step explanation:
will give 20 points + brainliest
A. y-3=-2(x-4)
B. y-6=-1\2(x-2)
C. y-3=-1/2(x-4)
D. y-6=-1/2(x+2)
E. y-6=-2(x+2)
F. y-4=-1/2(x-3)
Answers
Answers:
A. y = -2x + 11
B. y = 1/2x + 5
C. y = -1/2x + 5
D. y = -1/2x + 5
E. y = 2x + 2
F. y = -1/2x + 11/2
Hope this helped! (brainliest please)
If the angle of an isosceles triangle at the top of the triangle is 70 degrees, then what is the measure of the other two angles if they must be equal.
Answers
Answer:
55
Step-by-step explanation:
Two cities are 45 miles apart. Two trains, with speeds of 70 mph and 60 mph, leave the two cities at the same time so that one is catching up to the other. How long after the trains leave will they be 10 miles apart for the first time? How long after the trains leave will they be 10 miles apart for the second time?
Answers
i)
Find the first term of a G.P. whose fifth term is 243 and the
common ratio 3.
Answers
Answer:
first term = 3
Step-by-step explanation:
The n th term of a GP is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here r = 3 and a₅ = 243 , thus
a₁ × [tex]3^{4}[/tex] = 243
a₁ × 81 = 243 ( divide both sides by 81 )
a₁ = 3
Eliana opened a savings account and deposited $300.00. The account earns 13% interest, compounded annually. If she wants to use the money to buy a new bicycle in 3 years, how much will she be able to spend on the bike?
Answers
Answer:
$432.87Step-by-step explanation:
Use below compound interest formula and the given data.
[tex]F = P*(1 + r)^{nt}[/tex]F- future amount, P- invested amount, r - interest rate, n - number of compounds, t- time
Given:
P = $300r = 13% or 0.13t = 3 yearsn = 1Find the amount after 3 years:
[tex]F = 300(1 + 0.13)^3 = 432.87[/tex]Find the length of . Round answer to nearest tenth. PLS HELP ASAP
Answers
[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=7\\ \theta =75 \end{cases}\implies s=\cfrac{(75)\pi (7)}{180}\implies s=\cfrac{35\pi }{12}\implies s\approx 9.2[/tex]
the number can be divided by the least common multiple of 3 and 5
the hundreds digit is 2
the sum of all three digits is 12
Answers
9514 1404 393
Answer:
255
Step-by-step explanation:
If the sum of digits is 12, the number is divisible by 3. If the number ends in 0 or 5, it is divisible by 5. So, we're looking for ...
2x0 . . . where x is a digit and 2+x+0 = 12 . . . . . . not possible
2x5 . . . where x is a digit and 2+x+5 = 12 . . . . true for x=5
The number is 255.
Find the quotient. 4,216 ÷ 7 with remainder
Answers
Answer:
602 r. 2
Step-by-step explanation:
elisa was going to sell all of her stamp collection to buy a videos game then she changes her mind then she bought 8 more how many did she start with if she now has 36
Answers
Answer:
24 (not sure)
Step-by-step explanation:
36 - 8 = 24
im not sure if this is what the question is asking for.
b. El empleado de una compania tiene un sueldo mensual de L. 23, 865,00, en el mes de marzo del 2019 se le hizo una rebaja
del 20% por llegadas tarde al trabajo. Cuanto se le dedujo? ¿Qué sueldo neto saco ese mes?
Answers
Ese mes se le dedujeron $4774, y cobró un sueldo de $19,092.
Cálculo de cantidadesDado que el empleado de una compañía tiene un sueldo mensual de L. 23, 865,00, y en el mes de marzo del 2019 se le hizo una rebaja del 20% por llegadas tarde al trabajo, para determinar cuánto se le dedujo y qué sueldo neto sacó ese mes se debe realizar el siguiente cálculo:
100 - 20 = 8023,865 x 0.80 = X19,092 = X23,865 - 19,092 = 4773Por lo tanto, ese mes se le dedujeron $4774, y cobró un sueldo de $19,092.
Aprende más acerca de cálculos de cantidades en https://brainly.com/question/14342345
The difference of two supplemtary angles is 58 degrees. Find the measures of the angles
Answers
Answer:
The measure of the angles are 61° and 119°
Step-by-step explanation:
Let the first angle = x°
let the second angle = y°
The sum of two supplementary angles = 180°
x° + y° = 180° ----- equation (1)
based on the given question; "the difference of two supplementary angles is 58 degrees."
x° - y° = 58° ------- equation (2)
from equation (2), x° = 58° + y°
Substitute the value of x into equation (1)
(58° + y°) + y° = 180°
58 + 2y = 180
2y = 180 -58
2y = 122
y = 122 / 2
y = 61°
The second angle is given by;
x° = 58° + y°
x = 58° + 61°
x = 119°
Thus, the measure of the angles are 61° and 119°
[tex] \rm\frac{13}8 + \sum \limits_{n = 0}^{ \infty } \frac{( - {1)}^{n + 1} (2n + 1)! }{n! (n + 2)! {4}^{2n + 3} } \\ [/tex]
Answers
Rewrite the factorial parts of the summand as
[tex]\dfrac{(2n+1)!}{n!(n+2)!} = \dfrac{(2n+1)(2n!)}{(n+2)(n+1)(n!)^2} = \dfrac{2n+1}{(n+2)(n+1)} \dbinom{2n}n[/tex]
where [tex]\binom nk[/tex] is the binomial coefficient, and [tex]\binom{2n}n[/tex] are the so-called central binomial coefficients.
Expand the rational expression into partial fractions:
[tex]\dfrac{2n+1}{(n+2)(n+1)} = \dfrac3{n+2} - \dfrac1{n+1}[/tex]
Pull out a constant factor and collect the exponential terms.
[tex]\dfrac{(-1)^{n+1}}{4^{2n+3}} = -\dfrac1{64} \left(-\dfrac1{16}\right)^n[/tex]
The sum we want is now
[tex]\displaystyle \frac{13}8 - \frac1{64} \sum_{n=0}^\infty \binom{2n}n \left(\frac3{n+2} - \frac1{n+1}\right) \left(-\frac1{16}\right)^n[/tex]
Let f(x) and g(x) be functions with power series expansions
[tex]\displaystyle f(x) = \sum_{n=0}^\infty \binom{2n}n \frac{x^n}{n+1}[/tex]
[tex]\displaystyle g(x) = \sum_{n=0}^\infty \binom{2n}n \frac{x^n}{n+2}[/tex]
and recall the well-known binomial series
[tex]\displaystyle \dfrac1{\sqrt{1-4x}} = \sum_{n=0}^\infty \binom{2n}n x^n[/tex]
which converges for |x| < 1/4.
Integrating both sides yields
[tex]\displaystyle \int \frac{dx}{\sqrt{1-4x}} = \int \sum_{n=0}^\infty \binom{2n}n x^n \, dx[/tex]
[tex]\displaystyle -\frac12 \sqrt{1-4x} = C_1 + \sum_{n=0}^\infty \binom{2n}n \frac{x^{n+1}}{n+1}[/tex]
Taking x = 0 on both sides, it follows that C₁ = -1/2. We then see that
[tex]\displaystyle f(x) = \frac{1-\sqrt{1-4x}}{2x}[/tex]
Step back and multiply both sides of the binomial series identity by x, then integrate. This yields
[tex]\displaystyle \int \frac x{\sqrt{1-4x}} \, dx = \int \sum_{n=0}^\infty \binom{2n}n x^{n+1} \, dx[/tex]
[tex]\displaystyle -\frac1{12} \sqrt{1-4x} (1 + 2x) = C_2 + C_1 x + \sum_{n=0}^\infty \binom{2n}n \frac{x^{n+2}}{n+2}[/tex]
Taking x = 0 again points to C₂ = -1/12. Hence
[tex]\displaystyle g(x) = \frac{1 - \sqrt{1-4x}(1+2x)}{12x^2}[/tex]
Then the value of the sum we want is
[tex]\displaystyle \frac{13}8 - \frac1{64} \left(3g\left(-\frac1{16}\right) - f\left(\frac1{16}\right)\right) = \frac{1+\sqrt5}2 = \boxed{\phi}[/tex]
where ɸ ≈ 1.618 is the golden ratio.
Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.
(x,y) → (x + 1,y)
(x,y) → (x,y + 1)
(x,y) → (x – 1,y)
(x,y) → (x,y – 1)
Answers
if the function rule is y equals 3x - 4 what is range when the domain is 7?
Answers
first, substitute in x
y = 3(7) -4
and then solve for y
y = 21 - 4
y = 17
so, the range is 17 when the domain is 7
Find the solution set to the given equation. Answer only in numbers.
y(y +78) – 84(y + 78)
Answers
Answer:
(y-84) (y+78
Step-by-step explanation:
Which of the following cosine functions has a period of 3Pi
Answers
Answer:
C
Step-by-step explanation:
Hello!
In the equation y=a cos bx, we can learn alot about the cosine graph.
a is the amplitude, or how 'long' the cosine graph is.
b is the period, which is how 'wide' one cycle of a cosine period can be. The higher the period, the wider the cycle is.
In this equation, we are focused on finding the period; so any choices that contain amplitude is not a correct answer choice for this problem, which leaves out B and C.
To find the period, we can plug b into [tex]\frac{2\pi }{b}[/tex] , which in a way converts the b value to a period.
For B) y= cos3x
[tex]\frac{2\pi }{3}[/tex]= it does not equal 3 [tex]\pi[/tex]
For C) y=cos [tex]\frac{2}{3}[/tex]x
[tex]\frac{2\pi }{\frac{2}{3}}[/tex]= equals 3 [tex]\pi[/tex] when simplified
Since C equals 3 [tex]\pi[/tex] as a period, C is the only logical answer.
4000 is 0.8% of what number?
Answers
Answer:
the correct answer should be 500,000 hope this helps
4000 is 0.8% of 500000.
A runner can travel 340 meters in 20 seconds.At this rate,how far does the runner go in 1 minute?
Answers
Answer:
1020 m
Step-by-step explanation:
340 x 3 = 1020
Answer:
6800
Step-by-step explanation:
Jane ran 8 fewer miles this week than last week. This week, she ran 10 times
as far as John. John ran 3 miles. How many miles did Jane run last week?
Answers
Step-by-step explanation:
John ran 3 miles this week.
Jane ran 10 times as far as John this week :
10×3 = 30 miles
but she ran this week 8 fewer miles than last week. in other words, last week she ran 8 miles more than this week :
30 + 8 = 38 miles.
so, last week she ran 38 miles.
How do you do this question?
Answers
Answer:
1
Inconclusive
Step-by-step explanation:
aₙ = (-1)ⁿ / (n + 6)
aₙ₊₁ = (-1)ⁿ⁺¹ / (n + 1 + 6)
lim(n→∞)│aₙ₊₁ / aₙ│
lim(n→∞)│[(-1)ⁿ⁺¹ / (n + 1 + 6)] / [(-1)ⁿ / (n + 6)]│
lim(n→∞)│[(-1)ⁿ⁺¹ / (n + 7)] × [(n + 6) / (-1)ⁿ]│
lim(n→∞)│[(-1)ⁿ⁺¹ / (-1)ⁿ] × [(n + 6) / (n + 7)]│
lim(n→∞)│-1 × [(n + 6) / (n + 7)]│
lim(n→∞) [(n + 6) / (n + 7)]
1
The limit equals 1, so the ratio test is inconclusive.
WHAT IS 9+8+9-2+5x5+5-25+5-4+2+-2+4-+2-5+4-2+5-4+2-5+4-1+5-4+-2+4-2+5-4+2-4
+-+
Answers
Answer:
34
Step-by-step explanation:
cause you had to doit the simple math problem
are you trying to prank on this problem
the answer is 5 because I got it correct on a quiz
5. A triangle has a 60° angle, a 60° angle and a side 2 centimeters in length. a Select True or False for each statement about this type of triangle.
The triangle must be an equilateral triangle.
- More than one triangle can be made with these measures.
The triangle must contain an angle measuring 75º.
Answers
Answer:
Step-by-step explanation:
What is the remainder when
8
x
3
+
6
x
2
−
7
x
−
2
is divided by
x
+
2
?
Answers
How to solve 18 - 1 and 7/16 - 7/12 NOTE: Answer has to stay in fraction form.. The answer should be 15 and 47/48, but when I work it out I am not getting this answer. I do understand how they got 48 for denominator..
Answers
7/16 - 7/12 ?
common multiple of 16 and 12 = 48 ((3x16 and 12x4)
7/16 - 7/12 = (7x3) / (16x3) - (7x4) / (12x4) = 21/48 - 28/48 = - 7/48
what is a commonly accepted set of assumptions
Answers
A _______ is a commonly accepted set of scientific ideas and assumptions.
Answer: paradigm
What is 52 - (36/3) x 4
Answers
Answer:
=3
Step-by-step explanation:
Help help help ASAP math math
Answers
Answer:
x=-15
y= 65
Step-by-step explanation:
I explain the answer of the question in the photo
Simplify these expressions:
a) 5x+3x+2y+4y
b) 6x - 2x + 8y - 6y
Answers
Answer:
a)8x+6y
b)4x+2y
Step-by-step explanation:
a)5x+3x+2y+4y
5x+3x=8x
2y+4y=6y
=8x+6y
b)6x-2x+8y-6y
6x-2x=4x
8y-6y=2y
=4x+2y
Answer:
a) x = -0.75y
b) x = -0.5y
Step-by-step explanation:
Simplifying
5x + 3x + 2y + 4y = 0
Combine like terms: 5x + 3x = 8x
8x + 2y + 4y = 0
Combine like terms: 2y + 4y = 6y
8x + 6y = 0
Solving
8x + 6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
8x + 6y + -6y = 0 + -6y
Combine like terms: 6y + -6y = 0
8x + 0 = 0 + -6y
8x = 0 + -6y
Remove the zero:
8x = -6y
Divide each side by '8'.
x = -0.75y
Simplifying
x = -0.75y
Simplifying
6x + -2x + 8y + -6y = 0
Combine like terms: 6x + -2x = 4x
4x + 8y + -6y = 0
Combine like terms: 8y + -6y = 2y
4x + 2y = 0
Solving
4x + 2y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
4x + 2y + -2y = 0 + -2y
Combine like terms: 2y + -2y = 0
4x + 0 = 0 + -2y
4x = 0 + -2y
Remove the zero:
4x = -2y
Divide each side by '4'.
x = -0.5y
Simplifying
x = -0.5y