Mmm, x is equals to -7....
The value of the x is -7.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
We can use the rule for multiplying powers with the same base to simplify the left-hand side of the equation:
6⁹ × 6ˣ = 6⁽⁹⁺ˣ⁾
Now we can rewrite the equation as:
6⁽⁹⁺ˣ⁾ = 6²
Since the bases on both sides of the equation are the same, we can equate the exponents:
9 + x = 2
Subtracting 9 from both sides gives:
x = -7
Therefore, the value of x in the given equation is -7.
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Encontrar la magnitud de la velocidad angular de un disco de 0.75 rev/así como la magnitud de su desplazamiento angular Si su movimiento duró 180 segundos
Answer:
La magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.
Step-by-step explanation:
Podemos encontrar la magnitud de la velocidad angular (ω) del disco con la siguiente ecuación:
[tex] \omega = \frac{\theta}{t} [/tex]
En donde:
θ: es el desplazamiento angular = 0.75 rev
t: es el tiempo = 180 s
Primero debemos cambiar las unidades del desplazamiento angular de revoluciones a radianes:
[tex] \theta = 0.75 rev*\frac{2\pi rad}{1 rev} = 4.71 rad [/tex]
Entonces, la velocidad angular es:
[tex] \omega = \frac{4.71 rad}{180 s} = 0.026 rad/s [/tex]
Por lo tanto, la magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.
Espero que te sea de utilidad!
A student answered 68 questions correctly in a test and received a grade
of 85%. How many problems were on the test, if all the problems carried
the same number of points?
Answer:
There are 80 questions on the test
Step-by-step explanation:
I think this is right, but don't quote me on this.
PLEASE HELP WILL GIVE BRAINLIEST
Sarah uses 23 of her supply of cheese to make pizza and 19 of her supply of cheese to make lasagna. If Sarah uses 213 pounds of cheese, how many pounds of cheese were in her supply?
A.)3 pounds
B.)6 pounds
C.)8 pounds
D.)9 pounds
Answer:
C.) 8 pounds
Hope that can help
PLEASE HURRY
The origin is on the x-axis but not on the yaxis.
O A. True
O B. False
Answer:
The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.
(3ab+2c)^3 what is the answer
Answer:
[tex]=27a^3b^3+54a^2b^2c+36abc^2+8c^3[/tex]
Step-by-step explanation:
[tex](3ab+2c)^3[/tex]
[tex]=(3ab+2c)[/tex] × [tex](3ab+2c)[/tex] ×
[tex]=(3ab+2c)(9a^2b^2+12abc+4c^2)[/tex]
[tex]=(3ab)(9a^2b^2)+(3ab)(12abc)+(3ab)(4c^2)+(2c)(9a^2b^2)+(2c)(12abc)+(2c)(4c^2)[/tex]
[tex]=27a^3b^3+36a^2b^2c+12abc^2+18a^2b^2c+24abc^2+8c^3[/tex]
[tex]=27a^3b^3+54a^2b^2c+36abc^2+8c^3[/tex]
hope this helps....
Can someone help me with this math homework please!
Answer: Five and a quarter
Step-by-step explanation:
Answer:
[tex]7h - 5(3h - 8) - 28 = 100 \\ 7h - 15h + 40 - 28 = 100 \\ 7h - 15h + 12 = 100 \\ - 8h + 12 = 100 \\ - 8h = 100 - 12 \\ - 8h = 88 \\ \frac{ - 8h}{ - 8} = \frac{88}{ - 8} \\ h = - 11[/tex]
(100 points)
1.One of the addends of 17,300 is 11,210. What is the other addend?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ________________________________
2. If one of the factors of 954 is 318 , what is the other factor?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ________________________________
3. HEector bought seven bokes of fruit. Each boc contained 24 fruit. How much fruit did Hector buy?
a. What are they asking for? __________________
b. identify all the necessary numbers. __________________
c. write the equation or problem in numeric form. ______________
d. solve the math. ______________________________
e.write the answer. ________________________________
Answer:
1a. The other addend of 17,300
1b. 17,300 and 11,210
1c. 17,300-11,210
1d. 17,300-11,210= 6090
1e. 6090
2a. The other factor of 954
2b. 954 and 318
2c. 954-318
2d. 954-318= 636
2e. 636
3a. The total amount of fruit Hector bought.
3b. 7 and 24
3c. 7 x 24
3d. 7 x 24 = 168
3e. 168 fruits
What is the inverse of the function f(x) = x +3?
O h(x) = 5x + 3
O h(x) =
1x-3
Oh(x) = x-3
Oh(x) = x + 3
The value of the inverse of the function f(x) = x +3 is,
⇒ h (x) = x - 3
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Function is,
f (x) = x + 3
Now, We can find the inverse of the function f(x) = x +3 as,
f (x) = x + 3
y = x + 3
x = y - 3
h (x) = x - 3
Thus, The value of the inverse of the function f(x) = x +3 is,
⇒ h (x) = x - 3
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Complete the steps to solve the inequality:
0.2(x + 20) – 3 > –7 – 6.2x
Use the distributive property:
Combine like terms:
Use the addition property of inequality:
Use the subtraction property of inequality:
Use the division property of inequality:
0.2x + 4 – 3 > –7 – 6.2x
0.2x + 1 > –7 – 6.2x
6.4x + 1 > –7
6.4x > –8
Answer:
x>-1.25
Step-by-step explanation:
0.2x+4-3>-7-6.2x
0.2x+1>-7-6.2x
0.2x+6.2x>-7-1
6.4x>-8
x>-1.25
or x>-5/4,x>-1 1/4, xE(-1.25, infinite)
The solution to the inequality is x > -1.25.
The complete steps are:
the distributive property: 0.2x+4-3>-7-6.2x
Combine like terms: 0.2x+1>-7-6.2x
the addition property of inequality: 0.2x+6.2x +1 >-7 => 6.4x + 1 > –7
the subtraction property of inequality: 6.4x > -7 - 1 => 6.4x>-8
the division property of inequality: (6.4x)/6.4 > (-8)/6.4 => x>-1.25
Here, we have,
To solve the inequality 0.2(x + 20) - 3 > -7 - 6.2x,
let's go through the steps:
Step 1: Use the distributive property:
0.2x + 4 - 3 > -7 - 6.2x
Step 2: Combine like terms:
0.2x + 1 > -7 - 6.2x
Step 3: Use the addition property of inequality:
0.2x + 1 + 6.2x > -7
6.4x + 1 > -7
Step 4: Use the subtraction property of inequality:
6.4x > -7 - 1
6.4x > -8
Step 5: Use the division property of inequality:
Divide both sides of the inequality by 6.4 to isolate x:
(6.4x)/6.4 > (-8)/6.4
x > -8/6.4
Simplifying further, we have:
x > -1.25
Therefore, the solution to the inequality is x > -1.25.
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The force "F" applied on a spring and its extension "x" is given by the relation F = - k*x where "k" is the constant of proportionality.
Find "k" if a force of 10 Newtons produces an extension of 5 cm.
A. - 50 N/cm
B. 0.5 N/cm
C. - 20 N/cm
D. - 2 N/cm
HELP
Answer:
F = -k × X
10 Newtons = -k × 5 cm -k = 10 N/5 cm
-k = 2N/cm
k = -2N/cm
The value of spring constant "k" is -2 N/cm. Thus, the correct answer is option D.
To find the constant of proportionality "k," we can rearrange the formula:
F = -k x x
Since we are given that a force of 10 Newtons produces an extension of 5 cm, we can substitute these values into the equation:
10 N = -k x 5 cm
To solve for "k," we divide both sides of the equation by 5 cm:
k = -10 N / 5 cm
Simplifying the expression:
k = -2 N/cm
Therefore, the value of "k" is -2 N/cm. Thus, the correct answer is option D.
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A toy is in the form of a cone mounted on a hemisphere of common base radius 7cm. The total height of the toy is 31cm. What's the total surface area of the toy?
1 465
2 769
3 835
4 912
[tex]\huge\tt\pink{Answer}[/tex]
A≈852.83cm²
Radius
7cm
Height
31cm
If A and B are independent events, P(A and B) =
Answer:
If A and B are independent events, then the events A and B' are also independent. Proof: The events A and B are independent, so, P(A ∩ B) = P(A) P(B). From the Venn diagram, we see that the events A ∩ B and A ∩ B' are mutually exclusive and together they form the event A.
Answer:
Step-by-step explanation:
Given A and B are independent events, P(A and B) = P(A)*P(B)
Type the correct answer in each box.
5
4
2
1
-4
-3
-2
1
2
3
4
5
- 1
-2
-3
-5
The equation of the line in the graph is y=
U
Answer:
-1x - 1
Step-by-step explanation:
the factor of x is the slope of the line in the form of y/x.
it simply says how many units y changes for a given change of x.
in our diagram we can see that when x changes one unit to the right (positive), y changes 1 unit down (negative).
so, the slope or factor of x = -1/1 = -1
and when x=0, y=-1.
so, the constant offset in the line equation is -1 too.
so, it is
y = -x - 1
or as explicit factor for x
y = -1×x - 1
write the equation of the line in fully simplified slope intercept form
Answer:
y = 2/3x - 6
Step-by-step explanation:
The line goes down 2 and 3 left. The line crosses the y-intercept at -6.
Here's a graph of a linear function. Write the equation that describes that function. Express it in slope intercept form
Answer:
y = (1/2)x + 3
Step-by-step explanation:
Slope intercept form is
y = mx + b
m is the slope
b is the y-intercept
The line rises 1 in y for every run of 2 in x
m = slope = rise/run = 1/2
b, The y-intercept is 3
The equation is
y = (1/2)x + 3
What is the value of tan 0 in the unit circle below?
Answer:
1 / sqrt(3)
Step-by-step explanation:
tan(o) = sin(o) / cos(o)
sin(o) is the vertical distance from the x-axis. and that is in this basic circle the y-coordinate of the point.
cos(o) is the horizontal distance from the y-axis. that is the x-coordinate of the point.
so,
tan(o) = (1/2) / (sqrt(3)/2) = (2×1) / (2×sqrt(3)) = 1/sqrt(3)
PLEASE HELP!!!!!!!!!
A car manufacturer does performance tests on its cars. During one test, a car starts from rest, and accelerates at a constant rate for 20 seconds. Another car starts from rest three seconds later, and accelerates at a faster constant rate. The equation that models the distance (d) in metres the first car travel travels is: d=1.16t^2, where t is time, in seconds, after the car starts. The equation for the second car is: d= 1.74(t-3)^2
a. In the context, what is a suitable domain for the graph of this system?
b. At what time will both cars have driven the same distance?
c. How far will they have driven at this time?
Answer:
15.66
Step-by-step explanation:
Find the circumference of a circle with diameter,
d
= 8cm.
Give your answer rounded to 3 SF.
Answer:
25.1 cm
Step-by-step explanation:
c = πd
c = π*8
c = 25.1327412287
Rounded
c = 25.1 cm
What is the domain and range?
Answer:
15
Step-by-step explanation:
Using the approximation of 5 miles = 8 km
How many km is 12.5 miles?
Answer:
20km is in 12.5miles
Step-by-step explanation:
5miles= 8km
12.5miles=xkm
12.5÷5miles=2.5miles
2.5miles/km
2.5×8km=20km
Find the difference of the polynomials given below and classify it in terms of degree and number of terms.
Answer:
4th degree polynomial with 4 terms
Step-by-step explanation:
Given:
3n²(n²+ 4n - 5) - (2n² - n⁴ + 3)
Open parenthesis
= 3n⁴ + 12n³ - 15n² - 2n² + n⁴ - 3
Collect like terms
= 3n⁴ + n⁴ + 12n³ - 15n² - 2n² - 3
= 4n⁴ + 12n³ - 17n² - 3
Number 1 term is 4n²
Number 2 term is 12n³
Number 3 term is -17n³
Number 4 term is -3
The highest degree of the polynomial is 4th degree
Therefore,
The difference in 3n²(n²+ 4n - 5) - (2n² - n⁴ + 3) is
4th degree polynomial with 4 terms
Answer:
4th degree polynomial with 4 terms
Step-by-step explanation:
Inventor A had 630 inventions, 600% more than the number of inventions inventor B had. How many inventions did B have?
Answer:
105 inventions
Step-by-step explanation:
Find how many inventions Inventor B had by dividing 630 by 6:
630/6
= 105
So, Inventor B had 105 inventions
Someone help?????????????
Answer:
D
Step-by-step explanation:
f(x)=x²+3x+5
put x=a+h
f(a+h)=(a+h)²+3(a+h)+5
=a²+2ah+h²+3a+3h+5
HELPPP IM ALMOST DONE WITH THIS CLASS
Explanation:
Normally, cosine has a period of 2pi. This means that the curve repeats itself every 2pi units. However, this graph has a period of pi.
We can see this by noting that the distance from one peak such as x = 0 to another adjacent peak x = pi is exactly pi units across.
Since T = pi is the period, we then know that
B = (2pi)/T
B = (2pi)/(pi)
B = 2
Then recall that the general template is y = Acos(B(x-C))+D
In this case, A = 1, C = 0 and D = 0. So all of this leads to y = cos(2x)
If 5 ^ (3k - 1) - 5 ^ (b - 3) , what is the value of b?
Answer:
-1
Step-by-step explanation:
1. Sets the exponents equal
3b-1 = b-3
2. collect like terms and calculate it
3b-b=1-3
2b= -2
(divide both side by 2)
b=-1
What conversion ratio was skipped in this multiple-step conversion?
Answer:
B
Step-by-step explanation:
B was missed. You have to convert this from hours into minutes before you can deal with seconds.
HELP ASAP PLEASEEE !!!!
WILL GIVE BRAINLIEST
which equation represents the general form of a circle with a center at (-2 -3) and a diameter of 8 units ?
• x²+y²+4x+6y-51=0
•x²+y²-4x-6y-51=0
•x²+y²+4x+6y-3=0
•x²+y²-4x-6y-3=0
Answer:
it’s the 3rd one:)
Step-by-step explanation:
Answer:
In this situation, (h, k) = (-2, -3)Radius = 8/2 = 4 unitsSubstitute them into the circle equation: (x - h)² + (y - k)² = r²
(x - (-2))² + (y - (-3))² = 4²
(x + 2)² + (y + 3)² = 4²
Now expand the equation:
(x + 2)² + (y + 3)² = 4²
(x + 2)(x + 2) + (y + 3)(y + 3) = 16
(x² + 2x + 2x + 4) + (y² + 3y + 3y + 9) = 16
x² + 4x + 4 + y² + 6y + 9 = 16
x² + y² + 4x + 6y + 13 - 16 = 0
x² + y² + 4x + 6y - 3 = 0
(6ab-8a+8) - (7ab-1 )
Answer:
[tex]- ab - 8a + 9[/tex]
Step-by-step explanation:
[tex](6ab - 8a + 8) - (7ab - 1) \\ 6ab - 8a + 8 - 7ab + 1 \\ - ab - 8a + 9[/tex]
hope this helps you.
Answer:
-ab - 8a + 9
Step-by-step explanation:
(6ab - 8a + 8) - (7ab - 1) =
= 6ab - 8a + 8 - 7ab + 1
= -ab - 8a + 9
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?
Answer:
[tex]f(n) = \frac{32}{3}(\frac{3}{2})^n[/tex]
Step-by-step explanation:
Given
[tex]r = \frac{3}{2}[/tex]
[tex]f(5) = 81[/tex]
Required
The geometric sequence
A geometric sequence is represented as:
[tex]f(n) = ar^{n-1}[/tex]
Replace n with 5
[tex]f(5) = ar^{5-1}[/tex]
[tex]f(5) = ar^4[/tex]
Substitute values for f(5) and r
[tex]81 = a* (\frac{3}{2})^4[/tex]
Open bracket
[tex]81 = a* \frac{81}{16}[/tex]
Make a the subject
[tex]a = \frac{81 * 16}{81}[/tex]
[tex]a = 16[/tex]
So, the explicit function is:
[tex]f(n) = ar^{n-1}[/tex]
[tex]f(n) = 16 * (\frac{3}{2})^{n-1}[/tex]
Split
[tex]f(n) = 16 * (\frac{3}{2})^n \div (\frac{3}{2})[/tex]
Convert to multiplication
[tex]f(n) = 16 * (\frac{3}{2})^n * \frac{2}{3}[/tex]
[tex]f(n) = \frac{32}{3}(\frac{3}{2})^n[/tex]
Answer:
f(x) = 16*(3/2)^(x-1)
Step-by-step explanation:
right on edge
What are the factors of 2x2 + 3x - 54? Select two options.
2x - 9
2x - 6
O 2x + 6
OX-6
O x + 6
Step-by-step explanation:
Therefore, the factors are x + 6 and 2x − 9.
The factors of the polynomial are (2x-9)(x+6)
What is factor?Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left. Factors are the numbers you multiply together to get another number. Thus, a factor is the divisor of another number.
Given is a polynomial 2x²+3x-54, we need to find its factors,
So,
Factors :-
= 2x²+3x-54
= 2x²+12x-9x-54
= 2x(x+6)-9(x+6)
= (2x-9)(x+6)
Hence, the factors of the polynomial are (2x-9)(x+6)
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