what is formula of sec(A+B)
Answer:
(cos a cos b - sin a sin b)
Step-by-step explanation:
It's easy
Solving systems of equations y=-3x+4 and x=2y+6
Answer:
Therefore x=2 and y=-2Step-by-step explanation:
Given system of equations are
y= -3x+4
⇔3x+y=4 .........(1)
x= 2y+6
⇔x-2y=6...........(2)
Equation (1) ×2 +equation (2)
6x +2y+x-2y =8+6
⇔7x=14
[tex]\Leftrightarrow x= \frac{14}{7}[/tex]
⇔x = 2
Putting the value of x in equation (1)
3.2+y=4
⇔y+6=4
⇔y=4-6
⇔y=-2
Therefore x=2 and y=-2
9. Date Units Purchased Cost Per Unit
January 1
$8.00 (Beginning inventory)
January 18
9.00
February 20
11.00
March 15
12.00 (Ending inventory: 19)
The value of the ending inventory based on FIFO is
$196.00.
$126.00.
$216.00.
$219.00.
Answer:
$219.00.
Step-by-step explanation:
January 1, 10 units @ $8 (10 x 8) = $80
January 18, 50 units @ $9 (50 x 9) = $450
February 20, 20 units @ $11 (20 x 11) = $220
March 15, 10 units @ $12 (10 x 12) = 120
Ending Inventory = 19 unit
Ending Inventory = (10 x12) + (9 x 11) = $219
Answer:
$219.00 (or $220.00 because it's closest option to $219.00)
Step-by-step explanation:
Is 4 a solution of 2x = 8
Answer: yes
Step-by-step explanation:
2(4)=8
Yes, 4 is a solution of 2x = 8
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation.
Given,
4 is solution of 2x = 8,
Then, putting x = 4
2(4) = 8
8 = 8
LHS = RHS
Hence, 4 is a solution of 2x = 8.
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Amira has two toy cars one toy car has a mass of 276 grams and the other has a mass of 180 grams
Answer:
the total mass is 456 grams.
Step-by-step explanation:
Describe in words what 250=72 + x means
Answer: x= 178. Meaning that x can only equal 178, so that statement can be true. Any other number makes this statement false.
Step-by-step explanation:
Answer:
Lemme break it down for ya. Something plus seventy- two equal two hundred fifty. And if you want or need the answer, all you got to do is subtract 250 and 72. You're welcome. And please follow me.
3 x + 2 (4 + 6 x ) =113
Answer:
x=7
Step-by-step explanation:
3x + 2(4 + 6x)= 113
you multiply 2 to 4 that gives you 8 and 2 to 6 that gives you 12x because the 6 has x on it
so it will be 3x + 8 + 12x= 113 then you add 3x to 12x
then you would have 15x+8=113 then subtract 8 to 113 then divide that number to 15 and you get x=7
y=-3x + 6
y=9
What is the solution to the system of equations
Answer:
the answer is x=-1 and y=9. Hope this helps!
PLEASE GIVE BRAINLEST
The length of a rectangle is 1 more meter than twice its width. The rectangle has an area of 1275 m².
Let w represent the width of the rectangle. What quadratic equation, in standard form, represents this situation?
Answer: _____________________________
The length of a rectangle is 1 more meter than twice its width. The rectangle has an area of 1275 m².
What is the length of the rectangle? Show your work.
A. 1 m
B. 21 m
C. 25 m
D. 51 m
Si tomas sale de Ixtapa a las 6:00 am rumbo a Morelia a una velocidad de 70 kmxh ,a la misma hora Claudia sale de Morelia rumbo a Ixtapa a una velocidad de 40 kmxh si entre Morelia e Ixtapa hay una distancia de 660km a que distancia de Morelia se encontraran?
Answer:
El encuentro se producirá a 240 km de Morelia
Step-by-step explanation:
Velocidades Relativas
Este es un caso donde las velocidades son sumativas, pues ambos móviles van a su encuentro mútuo. La distancia total de 660 km será cubierta por ambos móviles con una velocidad relativa de 70 km/h + 40 km/h = 110 km/h
Ya que :
[tex]\displaystyle v=\frac{x}{t}[/tex]
Tenemos que
[tex]\displaystyle t=\frac{x}{v}[/tex]
[tex]\displaystyle t=\frac{660}{110}= 6 \ h[/tex]
Tomás anda a 70 km/h, así que en 6 horas recorre
[tex]x_t=6\times 70 = 420\ Km[/tex]
Claudia anda a 40 km/h, así que en las mismas 6 horas ha recorrido
[tex]x_c=6\times 40 = 240\ Km[/tex]
Se puede decir entonces, que el encuentro se producirá a 240 km de Morelia
Answer:
[tex]\large\boxed{\large\boxed{240km}}[/tex]
Explanation:
Since the question is in Spanish, I will give you the answer in Spanish.
En el punto de encuentro las distancias recorridas por Tomás y Claudia suman la distancia que existe entre Ixtapa y Morelia.
La distancia que recorre cada uno es igual al producto de su velocidad por el tiempo de recorrido.
Para Tomás esto es:[tex]distancia=velocidad\times tiempo\\ \\ d_{Tomas}=70km/h\times t[/tex]
Para Claudia la ecuación es:[tex]distancia=velocidad\times tiempo\\ \\ d_{Claudia}=40km/h\times t[/tex]
Los tiempos, [tex]t[/tex] , son los mismos al momento de encuentro, así que puedes crear una ecuación con una sola incógnita:
[tex]d_{Tomas}+d_{Claudia}=660Km=70km/h\times t+40km/h\times t[/tex]
Puedes obviar las unidades para resolver la ecuación:
[tex]660=70t+40t\\ \\ 660=110t\\ \\ 660/110=t\\ \\ 6=t\\\\ t=6[/tex]
El resultado es en horas: t = 6 horas.
Para encontrar la distancia remplaza el tiempo en la ecuación de Claudia, puesto que ella salió desde la ubicación de Morelia:[tex]d_{Claudia}=40km/h\times t=40km/h\times6h=240km[/tex]
Y esa es la respuesta. Se encontrarán a 240 km de Morelia.
Combine and simplify these radicals.
√8* √ 20
Answer:
4√10
Step-by-step explanation:
√(8) √(20)
= √(8 x 20)
= √(160)
= √(16 x 10)
= √(16) x √(10)
= 4 x √10
= 4√10
Answer:
4[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{8}[/tex] × [tex]\sqrt{20}[/tex]
= [tex]\sqrt{8(20)}[/tex]
= [tex]\sqrt{160}[/tex]
= [tex]\sqrt{16(10)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{10}[/tex]
= 4[tex]\sqrt{10}[/tex]
x-2y=8
4x+y=5
Solve linear systems by Multiplying
Step-by-step explanation:
The given system of linear equations:
x - 2y = 8 ........ (1)
and 4x + y = 5 ........ (2)
To find, the values of x and y = ?
Multiplying equation (2) by 2, we get
2(4x + y) = 5 × 2
⇒ 8x + 2y = 10 ........ (3)
Adding equations (1) and (3), we get
x - 2y + (8x + 2y) = 8 + 10
⇒ x - 2y + 8x + 2y = 8 + 10
⇒ 9x = 18
⇒ x = 2
Put x = 2 in (1), we get
2 - 2y = 8
⇒ 2y =2 - 8
⇒ 2y = - 6
⇒ y = - 3
∴ x = 2 and y = - 3
sum of the 5th and 10th terms of an arithmetic sequence which are equal to the 20th term (80). find the 30th term
Yo sup??
a5=a+4d
a10=a+9d
a20=80=a+19d
a+4d+a+9d=a+19d
a=6d
80=6d+19d
80=25d
d=3.2
a=19.2
a30=a+29d
=19.2+92.8
=112
Hope this helps.
What is the answer to this question
Answer:
π
Step-by-step explanation:
The integral decomposes into the sum ...
[tex]\displaystyle\int_{-2}^2{\left(x^3\cos{\dfrac{x}{2}}\right)\sqrt{4-x^2}}\, dx+\dfrac{1}{2}\int_{-2}^2{\sqrt{4-x^2}}\, dx[/tex]
The first term of this sum is the integral of an odd function, so is zero. The second term of this sum is 1/2 the area under a semicircle of radius 2, so is ...
A = (1/2)(1/2)π·2² = π
The value of the integral is π.
9. Lucas is in a car traveling at 15 m/s. This car starts to decelerate
steadily. It comes to a complete stop in 10 seconds. What is it's
acceleration?
Answer:
3/2 m / sec²
Step-by-step explanation:
acceleration = change in velocity / time
Here, that would be
acc'n = 15 m/s / 10 s = 3/2 m / sec²
Which parent function is represented by the graph?
107
0
A. Absolute value parent function
B. An exponential parent function
c. Quadratic parent function
D. Linear parent function
Answer:
b is right on plato
Step-by-step explanation:
Answer: Correct answer is B
Step-by-step explanation:
- 4(x – 4) – 3 = 12 + 6x
answer:
1/10 as a fraction or if you want it as a decimal it would be 0.1
step-by-step explanation:
-4(x-4)- 3=12+6x after seeing you multiply -4 by x and -4
and you would get
-4x+0-3=12+6x and then you distribute all the way and you would get
1/10 or if you dont want a fraction and want a decimal is would be 0.1
Answer:
x=1/10 or x=0.1
Step-by-step explanation:
Multiply the parenthesis by 4 (-4x+16-3=12+6x)then subtract the numbers (16-3=13) then move the variable to the left side and change its sign (-4-6x+13=12 to -4x-6x=12-13) then add the terms (-4x-6x=12-13 to -10x=12-13) and get the difference (-4x-6x=12-13 to -10x=-1) then divide bothe sides of the equation by -10 then your answer would be x=1/10
Find the volume of the right circular cylinder when the circumference of it’s circular base is 44 cm and It’x height is 10 cm.
The volume of the cylinder is [tex]1539 cm^3[/tex]
Step-by-step explanation:
The volume of a cylinder is given by the equation
[tex]V=\pi r^2 h[/tex]
where
[tex]\pi r^2[/tex] is the area of the base, with r being the radius
h is the height
For the cylinder in this problem we know:
h = 10 cm (height)
c = 44 cm (circumference of the base)
The circumference is given by
[tex]c=2\pi r[/tex]
So the radius is
[tex]r=\frac{c}{2\pi}=\frac{44}{2\pi}=7 cm[/tex]
Therefore, the volume of the cylinder is:
[tex]V=\pi (7)^2 (10)=1539 cm^3[/tex]
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Name the object that exhibits rotational symmetry.
1.)Ferris wheel
2.)sunglasses
3.)tent
4.)a pair of scissors
Answer:
1.) Ferris wheel
Step-by-step explanation:
48 guests are attending the super bowl party. 6/8 of them attended the party last year. How many guests are attending the party for the first time?
Answer:
36.
Step-by-step explanation:
6 times 6 equals 36.
Express each ratio as a fraction in simplest form. A 26:169 B 36 to 78
The ratios 26:169 and 36 to 78, when expressed as fractions in simplest form, are 2/13 and 6/13, respectively, after identifying and dividing by their greatest common factors.
The task is to express each ratio as a fraction in its simplest form. Let's tackle each ratio one at a time.
A. 26:169
To convert the ratio 26:169 into a fraction in simplest form, we observe that both numbers are divisible by their greatest common factor (GCF), which is 26. Dividing both terms by 26, we get 1/6.5. However, to express this in terms of whole numbers, multiplying numerator and denominator by 2 gives us 2/13, which is the fraction in its simplest form.
B. 36 to 78
For the ratio 36 to 78, first, we convert it into fraction form, which is 36/78. The GCF of 36 and 78 is 6. Dividing both the numerator and the denominator by 6, we get 6/13. Therefore, the simplest form of the ratio 36 to 78 is 6/13.
y=11 + x
5x+2y= -6
What is the answer
X=3.1:
Step-by-step explanation:
catherine is paying off a $2400 loan by making equal payments over a 12-month period until the loan is paid. express the amount of debt remaining as a function of time in months
Answer:$200 per month is spent.
Step-by-step explanation:
$2400 divided by 12 = $200
The amount of debt remaining as Catherine pays off her $2400 loan over 12 months is expressed by the function D(t) = 2400 - 200t, where t is the time in months.
Explanation:Catherine is paying off a $2400 loan by making equal payments over a 12-month period until the loan is paid. To express the amount of debt remaining as a function of time in months, let's denote the amount of debt remaining as D(t), where t is the time in months.
Since she is making equal payments over 12 months, the total amount she needs to pay each month is $2400 divided by 12 months, which is $200 per month. Therefore, the function that represents the amount of debt remaining at any time t is given by : D(t) = 2400 - 200t
This linear function shows that for each month that passes, $200 is subtracted from the original loan amount of $2400, representing the payments made towards the loan. Thus, after t months, the amount of debt remaining is calculated by subtracting $200 times the number of months from the initial loan amount.
Which is equivalent to a 270° clockwise
rotation about the origin?
O A. a 90° counterclockwise rotation
about the origin
OB. a 180° counterclockwise rotation
about the origin
O c. a 270° counterclockwise rotation.
about the origin
O D. a 360° counterclockwise rotation
about the origin
A pair of shoes usually sells for $62. If the shoes are 40% off, and sales tax is 7%, what is the total price of the shoes, including tax?
Answer:
$39.80
Step-by-step explanation:
If the price is reduced by 40%, it is 100% -40% = 60% of what it was. If 7% tax is added to that, the result is 100% +7% = 107% of the sale price. The final price is ...
$62 × 0.60 × 1.07 = $39.80
3.14(6x)^2
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How long does it take for the Earth to go through one full day/night cycle?
Round to the nearest hour.
________hour(s)
Answer:
24 hours
Step-by-step explanation:
Which is 5logx+6log(x + 7) written as a single logarithm?
[tex]\bf \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 5\log(x)+6\log(x+7)\implies \log(x^5)+\log\left[ \left( x+7 \right)^6 \right] \implies \log\left[ x^5\left( x+7 \right)^6 \right][/tex]
Answer: log(x^5(x+7)^6)
Hope that helps! (:
PLEASE HELPPP!!! The password to my tablet consists of 4 numbers. 0-9. Order doesn't matter. Repetition is allowed. How many possible combinations are there?
Answer:
10,000
Step-by-step explanation:
_ _ _ _
10 options for each position
10×10×10×10 = 10000
Answer:
210 combinations.
Step-by-step explanation:
We have 10 total digits (0-9) and we only use 4 at a time. We can use the permutation formula [tex]\frac{n!}{k!(n-k)!}[/tex], and plug in 10 for n and 4 for k. This is called:
n choose k.
Plug the values in, and we get 210 permutations for the password.
If f(x)=2(3^*)+1 which is the value of f(2)
Answer:
f(2)=19
Step-by-step explanation:
If *=x, f(2)=2(3^2)+1=2*9+1=18+1=19