Answer: Coin B And Coin C
Step-by-step explanation:
An equation is shown below: 5(3x − 15) + 16 = 5x + 11 Part A: Write the steps you will use to solve the equation, and explain each step. (8 points) Part B: What value of x makes the equation true? (2 points)
The result of the unknown variable x is equivalent to 7
Solving linear equationsLinear equations are equation that has a leading degree of 1. Given the expression below:
5(3x − 15) + 16 = 5x + 11
Expand the expression
5(3x) - 5(15) + 16 = 5x + 11
15x - 75 + 16 = 5x + 11
15x - 5x - 59 - 11 = 0
10x - 70 = 0
10x = 70
Divide both sides by 10
10x/10 = 70/10
x = 7
Hence the value of x makes the equation true is 7
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What is the slope of the line shown below?
Answer:
Step-by-step explanation:
Use the coordinates of the given points to find the slope.
difference in y-coordinates = -3 - 6 = -9
difference in x-coordinates = 2 - (-1) = 3
slope = -9/3 = -3
PLEASE HELP WILL GIVE BRAINLEIST
Answer:
(3, -4)
Step-by-step explanation:
For this problem you just need to find the distance between each of the x values and each of the y values.
The difference between -2 and -7 (-7 - -2) is -5, so the x coordinate of point B should be 3 (-2 - -5).
The difference between 2 and -1 (2 - -1) is 3, so the y coordinate of point B should be -4 (-1 - 3).
need some help on this
Hi there!
The two angles are alternate-interior angles, so:
∠A ≅ ∠B
6x + 18 = x + 93
Solve for x. Subtract x from both sides:
5x + 18 = 93
Subtract 18 from both sides:
5x = 75
Divide both sides by 5.
x = 75/5 = 15°
Now, solve for angle B by plugging in this value into the equation.
∠B = 15 + 93 = 108°
HELP ASAP I WILL GIVE BRAINLIEST!!!!
Find the surface area of the sphere.
r = 3 cm
Formulas for Spheres
S.A. = 40r2
V = frer S.A. = [?] cm2
Round to the nearest tenth.
Enter
Answer:
360cm²
Step-by-step explanation:
If the formula in the question is correct (S.A. = 40r²) then you just have to change r for r value:
40 * 3² = 40 * 9 = 360cm²
Hope it helps .
The figures are similar. Find x.
If the measure of XWZ = 127 . What is the measure of YWV?
Answer:
Dude Where's the attachment
Step-by-step explanation:
This is incomplete without image
system of linear equations includes the line that is created by the equation y = x+ 3, graphed below, and the line through the points (3, 1) and (4, 3). On a coordinate plane, a line goes through (0, 3) and (2, 5). What is the solution to the system of equations? (–1, 2) (1, 3) (8, 11) (9, 12) Mark this and return
The solution of the system of equations is (8, 11).
What is the solution of the system of equations?We know that one of the equations of the system is:
y = x + 3
And the other line passes through the points (3, 1) and (4, 3), then the slope of that line is:
a = (3 - 1)/(4 - 3) = 2
So the line is something like:
y = 2*x + b
To find the value of b, the y-intercept, we can replace the values of one of the points.
I will use (3, 1)
1 = 2*3 + b
1 = 6 + b
1 - 6 = b
-5 = b
So the other line is y = 2x - 5
Then the system of equations is:
y = x + 3
y = 2x - 5
Now we can solve the system:
x + 3 =2x - 5
3 + 5 = 2x -x
8 =x
The x-value of the solution is 8, then the only option that can be correct is.
(8, 11)
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Find the next three terms of the arithmetic sequence: 39,50,61,72
Answer:
83, 94, 105
Step-by-step explanation:
it's going up by 11
Answer:
83
Step-by-step explanation:
Its adding 11 each time
calculate the Area of parallelogram GDEF if the base is 5m and the altitude is 3,2m
Step-by-step explanation:
the area of a parallelogram is
baseline × height = 5 × 3.2 = 16 m²
if f(x)=x^2 and g(x)=x-1 then f(g(x))=?
Answer in the picture.
Greg washes cars on Saturdays at his dad’s car dealership. His dad pays him $50 plus $5 for each car that he washes. Greg washed 11 cars last Saturday. Use function notation to write an equation that gives the total amount Greg earns as a function of the number of cars he washes. Use the equation to find how much he earned last Saturday.
(SHOW WORK)
Answer:
605
Step-by-step explanation:
11x55=605
The pot holds 275 gallons of melted cheese. How many pints is this?
To convert gallons to pints, we need to multiply the number of gallons by 8 (because 1 gallon equals 8 pints). Therefore:
275 gallons * 8 pints/gallon = 2,200 pints
So 275 gallons of melted cheese is equivalent to 2,200 pints.
A bus picks up passengers at a bus stop every 12 minutes in the morning. Suppose Adrian arrives at the bus stop at a random time. What is the
probability that he will have to wait 5 minutes or less for the next bus?
These are the options
A. 7/12
B. 5/12
C. 1/5
D. 5/24
I need it right now please
The probability that he will have to wait 5 minutes or less for the next bus is given by P ( A ) = 5/12
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
A bus picks up passengers at a bus stop every 12 minutes in the morning
And , Adrian arrives at the bus stop at a random time
where he has to wait 5 minutes or less for the next bus
Now , since buses arrive every 12 minutes, Adrian will have to wait between 0 and 5 minutes if he arrives during a 5-minute window that occurs every 12 minutes.
Therefore, the probability that Adrian will have to wait between 0 and 5 minutes is the ratio of the length of the 5-minute window to the length of the 12-minute interval:
P(waiting ≤ 5 minutes) = 5/12
Hence , the probability is P ( A ) = 5/12
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A 2 meter television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. The camera’s angle of elevation to the shuttle is 32° at this specific time . Find the height of the shuttle.
To find the height of the shuttle, we can use trigonometry and the concept of similar triangles. The height of the shuttle is approximately 468.675 meters.
Let's assume that the height of the shuttle is represented by 'h' meters. From the information given, we know that the distance between the camera and the launch pad is 750 meters, and the angle of elevation from the camera to the shuttle is 32 degrees.
Using trigonometry, we can set up the following equation:
tan(32°) = h / 750
To find the value of h, we can rearrange the equation:
h = tan(32°) * 750
Using a calculator, we can find the value of tan(32°) ≈ 0.6249.
Now we can calculate the height of the shuttle:
h ≈ 0.6249 * 750
h ≈ 468.675 meters
Therefore, the height of the shuttle is approximately 468.675 meters.
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Consider the following equation:
cos x = x^3
Use your calculator to find an interval of length 0.01 that contains a root. (Enter your answer using interval notation.)
If the equation is cos x = x^3, the interval of length 0.01 that contains a root is [0.86, 0.87]
The given equation is
cos x = x^3
Move the term x^3 to the left hand side of the equation
cos x - x^3 = 0
Therefore the equation will be
f(x) = cos x - x^3
Here to find the interval of length 0.01 that contains a root, we have to use the intermediate value theorem
Plot the function in the graph
From the graph, we can see that the value of
x = 0.865
The interval of length = 0.01
Then the intervals will be 0.86 and 0.87
Therefore, the interval of length 0.01 that contains a root will be [0.86, 0.87]
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Hallar la intensidad del campo eléctrico en el aire generado por una carga fuente Q = 5x104 C, a una distancia de 3.5 metros.
Calcular la intensidad de un campo eléctrico, si al colocar una carga de prueba igual a 98 mC actúa con una fuerza de 10.1 N.
a) Luego de calculado y analizado el campo eléctrico en torno a la carga puntual, la intensidad del campo eléctrico es igual a \(3.673\times 10^{13}\,\frac{N}{C}\).
b) Conocida la carga y la fuerza eléctrica asociada a la carga puntual, concluimos que la intensidad del campo eléctrico es igual a \(103.061\,\frac{N}{C}\).
a) Puesto que no se conoce la configuración geométrica de la fuente, se asume que es una carga puntual. En este caso, tenemos que el campo eléctrico (\(E\)), en newtons por coulomb, es definido por la siguiente expresión:
\(E = \frac{k\cdot q}{r^{2}}\) (1)
Donde:
\(k\) - Constante eléctrica, en newton-metros cuadrados por coulomb cuadrado.\(q\) - Carga eléctrica, en coulombs.\(r\) - Distancia, en metros.Si sabemos que \(Q = 5\times 10^{4}\,C\), \(r = 3.5\,m\) y \(k = 9\times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}}\), entonces la intensidad del campo eléctrico es:
\(E = \frac{\left(9 \times 10^{9}\,\frac{N\cdot m^{2}}{C^{2}} \right)\cdot (5\times 10^{4}\,C)}{(3.5\,m)^{2}}\)
\(E = 3.673\times 10^{13}\,\frac{N}{C}\)
La intensidad del campo eléctrico es igual a \(3.673\times 10^{13}\,\frac{N}{C}\).
b) Supongamos que existe una carga puntual, tenemos la siguiente expresión por la definición de campo eléctrico:
\(E = \frac{F}{q}\) (2)
Donde \(F\) es la fuerza eléctrica, en newtons.
Si sabemos que \(F = 10.1\,N\) and \(q = 98\times 10^{-3}\,C\), entonces el campo eléctrico es:
\(E = \frac{10.1\,N}{98\times 10^{-3}\,C}\)
\(E = 103.061\,\frac{N}{C}\)
La intensidad del campo eléctrico es igual a \(103.061\,\frac{N}{C}\).
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can anyone help me out here? I will pay you 20 points
Answer:
The ordered pair that makes an equation true is called a solution
a)solution
b) not a solution
c) solution
d) solution
e)not a solution
f) not a solution
g) solution
h) not a solution
Step-by-step explanation:
The first number in an ordered pair is x, the second one is y
Plug in the numbers to x and y respectively
I'll give two examples so you know how to solve it
a) y=3x+1
-5=3(-2)+1
make sure you use pemdas (multiply first)
-5=-6+1
add
-5=-5
this is true (meaning it is a solution)
b) 6=3(-3) +1
6=-9+1
6 = -8
this is NOT true (not a solution)
If you have any questions feel free to ask
Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Answer:
11
Step-by-step explanation:
Substituting the values of x, y, and z into the expression, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.
Answer:
11
Step-by-step explanation:
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Substituting the given values of x, y, and z, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.
BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
Which expression is equivalent to (5^3)−2?
A 1
-
5^3
B -1/ 5•5•5•5•5•5
C 5^3
D 1/5•5•5•5•5•5
Answer:
D 1/5•5•5•5•5•5
Step-by-step explanation:
(5^3)^−2
We know a^b^c = a^(b*c)
5^(3*-2)
5^(-6)
We know a^-b = 1/a^b
1/5^6
1/(5*5*5*5*5*5)
Solve the inequality and graph the solution on the line provided. 6x-6<-30
The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.
To solve the inequality 6x - 6 < -30, we can follow these steps:
Step 1: Add 6 to both sides of the inequality to isolate the variable:
6x - 6 + 6 < -30 + 6
6x < -24
Step 2: Divide both sides of the inequality by 6 to solve for x:
(6x)/6 < (-24)/6
x < -4
The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.
To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.
On the number line, mark a point at -4 with a closed circle:
<--------●-----------------
Then, shade the region to the left of -4:
<--------●================
The shaded region represents the solution to the inequality x < -4.
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Zeros of polynomials
Required polynomial of lowest degree with zeros of multiplicity of 2 for (5/6) and multiplicity of 1 for (-1/6) and f(0) = -25 is given by :
f(x) = - ( 216x³ -324x² + 90x + 25 ).
As given in the question,
Given condition for required polynomial is given by :
Zeros of ( 5 / 6) with multiplicity 2 means zeros repeats two times we get,
= ( 6x - 5 )²
Zeros of (- 1/ 6) with multiplicity 1 means only once
= 6x + 1
Required polynomial is :
f(x) = a ( 6x - 5 )² ( 6x + 1 ) __(1)
Now, f(0) = -25
Now substitute x = 0 we get,
f(0) = a [ 6(0) - 5 ]² × [ 6(0) + 1 ]
⇒ -25 = a ( -5)² × (1)
⇒ -25 = a (25)
⇒ a = -1
Substitute value of a in (1) we get,
f(x) = - ( 6x - 5 )² ( 6x + 1 )
Open the parenthesis we get,
f(x) = - [ ( 36x² -60x + 25)( 6x + 1) ]
⇒ f(x) = - ( 216x³ -324x² + 90x + 25 )
Therefore, required polynomial of lowest degree with zeros of multiplicity of 2 for (5/6) and multiplicity of 1 for (-1/6) and f(0) = -25 is given by : f(x) = - ( 216x³ -324x² + 90x + 25 ).
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Find the coefficient of the given term when the expression is expanded by the binomial theorem.
x7 in (3x + 4)10
Can someone help me out with this problem i need step by step help
Discrete mathematics
The coefficient of \(x^{7}\) is 16796160.
For this, we have to find the coefficient of \(x^{7}\) in \((3x+4)^{10}\)
General Term: This term symbolizes all of the terms in the binomial expansion of (x + y)^n.
The general term in the binomial expansion of (x + y)^n is
T(r+1) = nCr x^(n-r)y^r.
Here the r-value is one less than the number of the term of the binomial expansion. Also, nCr is the coefficient, and the sum of the exponents of the variables x and y is equal to n.
We can use the general term for this.
\(T_{r+1} = (nCr) a^{n-r} x^{r}\)
Since we have to find \(x^{7}\),
\(T_{3+1} = (10C3)(3x)^{7} 4^{3} \\T_{3+1} = [(10C3)3^{7} 4^{3} ]x^{7}\)
This is the coefficients of \(x^{7}\)
Calculating,
10C3 = 120 (using combinations)
\(3^{7} = 2187\\4^{3} = 64\)
Therefore, multiplying the 3,
Coefficients of \(x^{7}\) = 120 * 2187 *64
= 16796160
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pls help answer it's due in 10 minutes
What's equivalent to 2/5 divided by 6
- - Evaluate 3(x-4) + 2x - x2 for x = 3. + O A. 6 O B. -6 O c. 2 OD. -2
Find the distance and midpoint between the points (7, 3) and (-2,-5).
Distance:-
\(\\ \rm\Rrightarrow \sqrt{(7+2)^2+(3+5)^2}\)
\(\\ \rm\Rrightarrow \sqrt{9^2+8^2}\)
\(\\ \rm\Rrightarrow \sqrt{81+64}]/tex]
\(\\ \rm\Rrightarrow \sqrt{145}\)
\(\\ \rm\Rrightarrow 12(approx)\)
Midpoint
\(\\ \rm\Rrightarrow \left(\dfrac{7-2}{2},\dfrac{3-5}{2}\right)\)
\(\\ \rm\Rrightarrow \left(\dfrac{5}{2},\dfrac{-2}{2}\right)\)
\(\\ \rm\Rrightarrow \left(\dfrac{5}{2},-1\right)\)
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What is y? Provide proofs
The value of y is about 9.1
What is a triangle?
A triangle is a closed shape with three vertices, three sides, and three angles. △PQR is used to denote a triangle with the vertices P, Q, and R. Sandwiches and signboards in the shape of triangles are two of the triangles that are most frequently seen.
A triangle is a simple polygon with 3 sides and 3 interior angles. It is one of the basic shapes in geometry in which the 3 vertices are joined with each other
Using sine rule, we have
g/ sin(G) = h/ sin (H)
=> g/ sin(30) = 16/ sin (62)
=> g/0.5 = 16/ sin (62)
=> g = (0.5*16)/ sin (62)
=> g= 8/ sin (62)
Here g =y = 9.0605
This means, the value of y is about 9.1
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What are ways that people can stand up for something without bringing violence into it?
Some ways a person can stand up for something without creating violence is by creating a blog post on social media, attaching propaganda to bulletin boards outside, starting a go fund me, and lastly they can try to get in connect with someone famous or with a huge following to speak out and agree with the person. And since that celebrity has such a huge fan base their ideas and thoughts will be heard and payed attention to. These are a few ways people can stand up for something without it generating violence.
when using the some rule ,we only use two of the equal ratios at one time.That is we work with pairs of _____ sides and angle?
When applying the some rule, we only combine two equal ratios at once. Consequently, we deal with pairs of sides and angles that have equivalent ratios.
Which set of ratios form a proportion?When two ratios are equal, a percentage is formed; alternatively, two equal ratios can be said to produce a proportion. When we understand that two ratios are equal, you can write a proportion. The ratios of these two numbers are equal.
When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant. Two angles are said to be complimentary if their sum is 90 degrees. Alternatively put, two angles are said to be complimentary if they combine to make a right angle.
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