msin²x+cos²x=m-1
since the interval are 0 and π/4
Therefore
msin²(0)+cos²(0)=m-1
m(0)+1=m-1
1=m-1
m=2
use π/4 now
msin²(π/4)+cos²(π/4)=m-1
m(1/2)+(1/2)=m-1
m+1=2(m-1)
m+1=2m-2
-m=-3
m=3
Therefore
m=2 or 3
What is the value of x
(X+40) (3x)
A. 20
B. 35
C. 60
D. 70
Answer: A. 20 is the answer.
Step-by-step explanation:
x+40 = 3x
or, 40 = 3x-x
or, 2x = 40
or, x = 40/2
so, x = 20
Write an equation
in slope y-intercept form A(2,6),m=0
Solve for b:
y = 0x + b
6 = 0 + b
b = 6
The answer is y = 0x + 6
i’m using this app so much but i really do appreciate the help pleasee no wrong answers
Answer:
C is correct
Step-by-step explanation:
a is wrong because: 1*-1*-1*-1 =1
b) 1*1*1*1 =1
d) 1*-1*1*1 =1
only c 1*-1*-1*1 =-1 at the end of polynomial
Convertir 675 Faren a Kelvin (Con ecuaciones porfavor)
Answer:
(675°F − 32) × 5/9 + 273.15 = 630.372K
Hope it's right if not so sorry :)
MY LAST QUESTION PLEASE HELP
Given the special right triangle below, what is the value of the hypotenuse?
30°
60°
6
A
6
B
673
С
123
D
12
Answer:
12
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 60 = 6/hyp
hyp = 6 / cos 60
hyp = 6 / (1/2)
htp = 12
(x-4)°=1
giải hộ em với ạ
Answer: 5
Step-by-step explanation:
⇒ (x - 4) = 1
⇒ x = 1 + 4
⇒ x = 5
Therefore value of x = 5
Answered by Gauthmath must click thanks and mark brainliest
Which functions have a maximum value greater than the maximum of the function g(x) = -(x + 3)2 - 4?
Answer:
max: -4
Step-by-step explanation:
(x+3)^2 》0 mọi x
<=> -(x+3)^2 《0
<=> -(x+3)^2 -4 《 -4
I have two identical dice with the numbers
-1, 2, -3, 4, -5 and 6
I roll my dice and work out my total.
Which of the following totals cannot be achieved?
a) 3
b) 7
c) 8
Answer:
7 cannot be achieved
-1 + 6 = 5
-3 + 4 = 1
-5 + 2 = -3
as you can see, no combinations can form seven
A woman making $32,000
a year receives a cost-of-living increase that raises her salary to $32,768
per year. Find the percent of increase in her yearly salary.
Percentage increase= $768÷32000=0.024
=0.024×100=2.4%
Help me pleaseee i could really use it
Answer:
20 and 42
Step-by-step explanation:
Let the greater number be x and the smaller number be y.
3(x +y)= 186
x +y= 186 ÷3
x +y= 62 -----(1)
x -y= 22
x= y +22 -----(2)
Substitute (2) into (1):
y +22 +y= 62
2y= 62 -22 (-22 on both sides)
2y= 40
y= 40 ÷2
y= 20
Substitute y= 20 into (2):
x= 20 +22
x= 44
Thus, the two numbers are 20 and 42.
This is a scale drawing of a house where 1 centimeter represents 0.6 meters. What is the height of the house at its highest point? Round to one decimal point, if necessary.
Answer:
Height of the house = 3 meter (Approx.)
Step-by-step explanation:
Given:
Scale model;
1 centimeter = 0.6 meter
According to graph
Height of cube = 5 cube = 5 centimeter
Find:
Height of the house
Computation:
Height of the house = height of the house in scale model x Scale model
Height of the house = 5 x 0.6
Height of the house = 3
Height of the house = 3 meter (Approx.)
The function f(x) = - (x + 5) * (x + 1) shown What is the range of the function ? 10 all real numbers loss than or equal to all roal numbers less than or equal to -3 all real numbers groater or equal to 4 numbors greater than or equal to -6
Given:
The function is:
[tex]f(x)=-(x+5)(x+1)[/tex]
To find:
The range of the function.
Solution:
We have,
[tex]f(x)=-(x+5)(x+1)[/tex]
It can be written as:
[tex]f(x)=-(x^2+x+5x+5)[/tex]
[tex]f(x)=-(x^2+6x+5)[/tex]
Add and subtract square of half of coefficient of x, i.e., [tex]\left(\dfrac{6}{2}\right)^2=9[/tex].
[tex]f(x)=-(x^2+6x+9-9+5)[/tex]
[tex]f(x)=-(x^2+2(x)(3)+3^2-4)[/tex]
[tex]f(x)=-(x^2+2(x)(3)+3^2)+4[/tex]
[tex]f(x)=-(x+3)^2+4[/tex]
On comparing this equation with [tex]f(x)=a(x-h)^2+k[/tex], we get
[tex]a=-1[/tex], it means the graph of the function is a downward parabola and the vertex is the point of maxima.
[tex]h=-3[/tex]
[tex]k=4[/tex]
The vertex of the function is (-3,4). So, the value of the function cannot be greater than 4.
Therefore, the range of the function is all real numbers less than or equal to 4.
Note: All options are incorrect.
Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?
Answer:
The vertex is (2,1)
Step-by-step explanation:
ƒ(x) = –x^2 + 4x – 3
Factor out the negative
= -(x^2 -4x+3)
Factor
What 2 numbers multiply to +3 and add to -4
-3*-1 = 3
-3+-1 = -4
f(x) = -( x-3)(x-1)
Find the zeros
0 = -( x-3)(x-1)
0 = x-3 0 = x-1
x=3 x=1
The x value of the vertex is 1/2 way between the two zeros
(3+1)/2 = 4/2 =2
To find the y value, substitute x=2 in
f(2) = -( 2-3)(2-1)
=-(-1)(1) = 1
The vertex is (2,1)
can you please help me with this.
Answer:
Step-by-step explanation:
The equation for an arithmetic sequence is
[tex]a_n=a_1+d(n-1)[/tex] where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.
Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:
[tex]a_n=2+3(n-1)[/tex] which simplifies to
[tex]a_n=2+3n-3[/tex] and a bit more to
[tex]a_n=3n-1[/tex] (which should tell you that arithmetic sequences are lines!)
Finding the 13th number simply requires that we replace n with 13 and solve:
[tex]a_{13}=3(13)-1[/tex] so
[tex]a_{13}=38[/tex]
Answer:
38
Step-by-step explanation:
This isn't the most efficient way but it's the best I can do.
2, 5, 8, 11....
The pattern is that we add 3 every time.
2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,
1 , 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
We can see that 38 is the 13th term of the sequence.
The outer radius of a cylindrical metal tube is R and t is the thickness of the metal. a Show that the volume, V. of metal in a length.7 units, of the tube is given by V. = m(2R - 0). b Hence calculate V when R = 7.5.1 = 1 and l= 20
Complete question is;
The outer radius of a cylindrical metal tube is R and t is the thickness of the metal.
A) Show that the volume, V, of metal in a length, l units, of the tube is given by V = πlt(2R - t)
B) Hence calculate V when R = 7.5. t = 1 and L = 20
Answer:
A)V = πlt(2R - t)
B)V = 879.65
Step-by-step explanation:
A) Formula for volume of a hollow cylinder is; V = π(R² - r²)h
Where;
R is outer radius
r is inner radius
h is height/length of tube
Now, we are told thickness is t.
Thus; R - r = t
Also, h = l
Thus;
V = π(R² - r²)h
Let's factorize this to get;
V = π((R + r)(R - r))l
V = π((R + r))lt
Since R - r = t
Then, r = R - t
Thus;
V = π(R + R - t)lt
V = πlt(2R - t)
B) when R = 7.5, t = 1 and l= 20;
V = πlt(2R - t)
V = π × 20 × 1(2(7.5) - 1)
V = 879.65
can someone please help me with this math thing, i'm being timed and i don't know what else i can do, if someone wants to help just do the Nick one the graph and the Sammy and Mariam one i’ll try to do by myself but please help me
Answer:
Step-by-step explanation:
a. amt. of weeks and hours worked
HELP PLEASE
A tuning fork with a period of 1.95 x 10-3 is struck at the same time as a guitar
string. If 24 beats are heard in 6.0 s, find the possible frequency or frequencies of the guitar string.
Answer:
The possible approximate frequencies of the guitar string are 516.82 Hz and 508.82 Hz
Step-by-step explanation:
The given period of the tuning fork, T₁ = 1.95 × 10⁻³ s
The number of beats in 6.0 s = 24 beats
Therefore, the beat frequency, [tex]f_{beat}[/tex] = 4 beats per second = 4 Hz
Let f₁ represent the frequency of the tuning fork, and let f₂ represent the frequency of the guitar string, we have;
f₁ = 1/T₁ = 1/(1.95 × 10⁻³) ≈ 512.82 Hz
We have;
[tex]f_{beat} = \left | f_2 - f_1 \right |[/tex]
[tex]\pm f_{beat} = f_2 - f_1[/tex]
Therefore, we get;
[tex]4 \, Hz= \left | f_2 - 512.82 \, Hz \right |[/tex]
f₂ - 512.82 = ± 4
∴ f₂ = 512.82 ± 4
The possible frequencies of the guitar string, f₂ ≈ 516.82 Hz or f₂ ≈ 508.82 Hz
The graph of h(x) = (x - 3)2 is a translation of the
graph of f(x) ….. blank
by
…. Blank units.
Answer:
right by 3 I think
Step-by-step explanation:
Answer: Right by 3 Units
Step-by-step explanation:
Right on edge 2021
IF a and bare roots of 3x² - 6x + 2=0 ,then find. a, a-b
Answer:
a is 1.58 and b is 0.42
Step-by-step explanation:
[tex]{ \sf{3 {x}^{2} - 6x + 2 = 0 }} \\ { \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} }} \\ \\ { \sf{x = \frac{ - ( - 6)± \sqrt{ {( - 6)}^{2} - (4 \times 3 \times 2) } }{(2 \times 3)} }} \\ \\ { \sf{x = \frac{6± \sqrt{12} }{6} }} \\ \\ { \sf{x = 1.58 \: and \: 0.42}}[/tex]
\frac{2x^2 + 3x}{x^2 + 1 } =2
Answer:
3x = 2
x = 2/3
[tex]\frac{2x^2 + 3x}{x^2 + 1 } =2[/tex]
Step-by-step explanation:
In a right triangle ∠A = 32° with an adjacent side of 44 what is the length of the opposite side, x?
Answer: About 27.49
Step-by-step explanation:
You use the laws of tangent within a triangle to find x:
[tex]tan(32)=\frac{opposite}{adjacent}= \frac{x}{44}\\ \\x=44*tan(32)=27.49425...[/tex]
Compara los siguientes pares de numeros enteros y representalos en la recta numerica A) +13 y-2 B) -5 y -7 C) +4 y +1 D) -5 y 0
Answer:
La única comparación que podemos hacer entre un par de números A y B, es la diferencia entre ellos, lo cual nos dice cuál es la distancia entre esos números en la recta numérica.
Es importante recordar la regla de los signos:
(+)*(+) = (+)
(+)*(-) = (-)
(-)*(+) = (-)
(-)*(-) = (+)
A)
+13 y -2
La difencia será:
13 - (-2) = 13 + 2 = 15
Para graficarlos en la recta numérica, recordar que los números negativos van el lado izquierdo, en la imagen de abajo, este par está representado con los puntos A y A.
B) -5 y -7
Aqui la diferencia es:
-5 - (-7) = -5 + 7 = 2
Es decir, hay dos unidades de distancia entre estos números.
En la recta estan representados con B y B'
C) +4 y +1
La diferencia es:
4 - 1 = 3
es decir, hay 3 unidades de distancia entre esos números
En la recta estan representados con C y C'
D) -5 y 0
La diferencia es:
0 - (-5) = 0 + 5 = 5
Es decir, hay 5 unidades de distancia entre esos numeros.
En la recta estan representados con D y D'
Ahora que sabemos la distancia entre cada par, tambien podemos hablar de que pares son mas cercanos entre ellos y ordenarlos.
De mas cercanos a más alejados, el orden es:
B, C, D, A.
Which figures are polygons?
Answer: A,C,D
Step-by-step explanation:
Answer:
pretty sure it's a, c, and d
Step-by-step explanation:
polygons have straight sides, not curved. it's a 2d figure, and it is enclosed. b doesn't fit the criteria of that because of the fact that the shape is a bit curved, as the other options do fit that criteria.
Please help geometry
Answer:
1187.52
Step-by-step explanation:
2 π r h + 2 π r² = 2·π·7·20+2·π·7² ≈ 1187.52202
Here you go i hope this will help you :)10 • 4/10y = -28 • 10
Answer:
y=-70
Step-by-step explanation:
10.4/10y=-28.10
4y=-280
y=-70
Maya is learning to drive, so this weekend she practiced driving 1/2 of a mile with her mother and another 3/4 of a mile with her father. How far did Maya drive in all?
Step-by-step explanation:
1/2 + 3/4
= 2/4 + 3/4
= 5/4
= 1 and 1/4 miles
what is the answer to
(35+5)[16+(12÷ 4)]
Hi there!
»»————- ★ ————-««
I believe your answer is:
760
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\(35+5)[16+(12\div 4)]\\------------------\\\text{Follow \textbf{PEMDAS}}\\\\\rightarrow 35+ 5 = 40\\\\40[16+(12\div 4)]\\\\\rightarrow 12\div4 = 3\\\\\rightarrow 16 + 3 = 19\\\\40(19)\\\\\rightarrow 40 * 19\\\\\boxed{760}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Practice multiplying numbers by powers of 10.
PLEASE HALPPP
Jason left a bin outside in his garden to collect rainwater. He notices that 1/5 gallon of water fills 2/3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.
(I need sleep and will give brainiest or whatever TvT)
Step-by-step explanation:
[tex]\huge\mathfrak\red{Answer}[/tex]
We can set this up as a proportion
(1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply
1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2
(3/2) (1/5) = x = 3/10 gallons fills the entire bin
Look at it this way each 1/10 of a gallon fills 1/3 of the bin.
so 3(1/10) gallons fills 3(1/3)bins..
or
3/10 galons fills a whole bin.
PLS HELP MEE
1st equation: a^2 + b^2 = c^2
2nd equation: a^2 + b^2 = n^2
Since the equations for both triangles have a^2 + b^2, you can think of the two equations for c^2 and n^2 as a system of equations. Substitute what a^2 + b^2 equals in the first equation for a^2 + b^2 in the second equation. After you substitute, what equation do
you get?
Answer:
c² = n²
Step-by-step explanation:
Given the 2 equations
a² + b² = c² → (1)
a² + b² = n² → (2)
Substitute a² + b² = c² into (2)
c² = n²
