⇒Given the function f(x)=3x-7 ,when x=4 this means that in the function f in the place of x substitute 4 and simplify.
⇒\(f(4)=3(4)-7\\f(4)=12-7\\f(4)=5\)
⇒The value of the function f when x=4 is 5
Another chance for brainliest if it correct ! Please help
Answer:
Step-by-step explanation:vdcdcdcdcdc
7+3x-12x=3x+1 is it Infinitely many solutions, one solution, or no solutions with steps please
Answer:
One solutionStep-by-step explanation:
7 + 3x - 12x = 3x + 17 - 9x = 3x + 13x + 9x = 7 - 112x = 6x = 6/12x = 1/2It has one solution
Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.
Volume = 3000 ft³
9.3 ft
The missing dimension is about
feet.
The missing dimension (height) of the cylinder is 11.62 feet.
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
Substituting the given values, we get:
3000 = π(9.3)²h
Simplifying and solving for h:
h = 3000 / (π(9.3)²)
h ≈ 11.62 feet
Thus, the missing dimension (height) of the cylinder is 11.62 feet.
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If g(x)= 2x +8x-1 what is g(-3)
A) -7
B) 11
C) 28
D)7
Step-by-step explanation:
Greetings !
Firstly, write down the given expression
\(g(x) = 2x + 8x - 1\)
simplify it to be more accurate where 2+8=10
\(g(x) = 10x - 1\)
plug in -3 in the value of x and simplify the expression
\(g( -3 ) = 10( - 3) - 1 \\ g( - 3) = - 30 - 1\)
Thus, subtract the numbers
\(g( - 3) = - 31\)
Hope it helps!
50 points 1/4 of my points help
What number is represented by the point plotted on the number line?
Answer:
its the 2 one you welcome
Answer:
1 1/2
Step-by-step explanation:
it is one whole and a half
can y’all help me???
Answer:
4 miles
Step-by-step explanation:
2/3 x 6= 4
Whats the answer?????
Answer:
oof we just went over that
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
diffusion is move from high to low
HELPPP FOR BRIANLEST!!!
Answer:
1/16
Step-by-step explanation:
NOT vanilla and NOT Saturday (1) over total (16)
1/16
Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. a = 0 , b = 72 , sin ?x dx , n = 4
Rounding this result to four decimal places, the approximation of the integral is approximately 42.9624.
To approximate the integral ∫0^72 sin(x) dx using the Midpoint Rule with n = 4, we need to divide the interval [0, 72] into four subintervals of equal width.
The width of each subinterval, Δx, can be calculated as (b - a) / n = (72 - 0) / 4 = 18.
The midpoint of each subinterval can be found by adding half of the width to the left endpoint of the subinterval. Therefore, the midpoints of the four subintervals are: 9, 27, 45, and 63.
Next, we evaluate the function at each midpoint and sum up the results multiplied by the width Δx:
Approximation ≈ Δx * (f(midpoint1) + f(midpoint2) + f(midpoint3) + f(midpoint4))
≈ 18 * (sin(9) + sin(27) + sin(45) + sin(63))
Using a calculator, we can evaluate this expression:
Approximation ≈ 18 * (0.4121 + 0.9564 + 0.8509 + 0.1674)
≈ 18 * 2.3868
≈ 42.9624
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Which graph represents the function f(x) = 5 ^ x
A party man is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg How much of each should be added to obtain 60 kg of a mix.that will sell for $1.90 per kg?
Given:
Nuts = $2.50
Cereal mixture = $1
Find -: How much each should be added.
Sol:
Obtain = 60 kg.
Let nuts = x kg
Cereal = y kg
To obtain 60 kg means:
\(\begin{gathered} x+y=60 \\ \\ y=60-x \end{gathered}\)Pricing at $1.90 per kg means:
\(\begin{gathered} x(2.50)+y(1)=60(1.90) \\ \\ 2.5x+y=114 \end{gathered}\)Put the value of "y" then:
\(\begin{gathered} 2.5x+60-x=114 \\ \\ 1.5x=114-60 \\ \\ 1.5x=54 \\ \\ x=\frac{54}{1.5} \\ \\ x=36 \end{gathered}\)Then the value of "y" is:
\(\begin{gathered} y=60-x \\ \\ y=60-36 \\ \\ y=24 \end{gathered}\)So,
In the mixture 36 kg of nuts and 24 kg of cereal.
Just put the answer A B C D please
Answer:
B
Step-by-step explanation:
In parallelogram LMNP, the measure of angle L is represented by 6x-40, and the measure of angle M is represented by 4x+10. Find the measure of angle N in degrees.
If you could please write out the steps that would be super helpful. Thanks
In parallelogram LMNP,
The measure of angle N in degrees is 50°
Now, According to the question:
Let's know:
What is parallelogram?
A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.
The given data is :
In parallelogram LMNP, m∠L = 6x-40, m∠M = 4x+10
We know that, sum of the interior angles of parallelogram is 360°.
Here, m∠M=m∠P=4x+10
and, Here, m∠L=m∠N=6x - 40
m∠L+m∠M+m∠N+m∠P=360°
6x - 40 + 4x + 10 + 6x - 40 + 4x +10 = 360°
20x - 80 + 20 = 360°
20x - 60 = 360°
20x = 360° - 60
20 x = 300
x = 15°
Now, To find the measure of angle N in degrees.
where, m∠N = 6x - 40
Put the value of x
m∠N = 6 × 15 - 40
m∠N = 50°
Hence, The measure of angle N in degrees is 50°
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Adriana is rock climbing. She started at an elevation of
-36.5 m relative to sea level, and will finish at an elevation of 25 3/4m. Her climb is now 80% complete. Estimate her current elevation. Then find her actual elevation. Show your work.
In conclusion, the solution for this question is that Adriana's actual elevation is also approximately 13.3 meters above sea level.
How to solve?
To estimate Adriana's current elevation, we can simply find 80% of the total elevation gain and add it to her starting elevation:
Total elevation gain = 25 3/4 m - (-36.5 m) = 62.25 m
80% of 62.25 m = 0.8 * 62.25 m ≈ 49.8 m
Estimated current elevation = -36.5 m + 49.8 m ≈ 13.3 m
So we estimate that Adriana's current elevation is approximately 13.3 meters above sea level.
To find her actual elevation, we can use the same method but with the actual percentage of completion:
Actual elevation gain = 80% * (25 3/4 m - (-36.5 m)) = 0.8 * 62.25 m = 49.8 m
Actual elevation = -36.5 m + 49.8 m = 13.3 m
Therefore, Adriana's actual elevation is also approximately 13.3 meters above sea level.
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A marina is in the shape of a coordinate grid. Boat A is docked at (4.2, −2) and Boat B is docked at (−5.2, −2). The boats are ____ units apart. 6.2 7
The boats are approximately 9.4 units apart.
To find the distance between two points in a coordinate plane, we can use the distance formula:
distance =\(\sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)
Using this formula, we can find the distance between Boat A at (4.2, -2) and Boat B at (-5.2, -2):
distance = \(\sqrt{((-5.2 - 4.2)^2 + (-2 - (-2))^2)}\)
distance = \(\sqrt{((-9.4)^2 + (0)^2)}\)
distance =\(\sqrt{(88.36)}\)
distance ≈ 9.4
Therefore, the boats are approximately 9.4 units apart.
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Find the values of x, y, and z. The diagram is not to scale.
Answer:
95 = x
85 = z
75 = y
Step-by-step explanation:
**remember** all triangles contain 180 degrees
this means that the triangle to the left should add up to 180 to we can set up this equation
180 = 60 + 25 + x
180 = 85 + x
95 = x
now **remember** a flat line is 180 degress so x + z is 180... we can set up this equation:
x + z = 180
plug in x = 95 from before
95 + z = 180
z = 85
**remember** again that a triangle in 180 degrees so for the right one we can set up this equation by pluggging in the z=85
180 = 20 + 85 + y
180 = 105 + y
75 = y
Answer:
first option
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180° , thus
x = 180° - (60 + 35)° = 180° - 95° = 85°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
z is an exterior angle of the triangle , thus
z = 60° + 35° = 95°
Using the sum of angles in a triangle, then
y = 180° - (95 + 20)° = 180° - 115° = 65°
Thus
x = 85°, y = 65°, z = 95°
How do I find the 5 roots of 1^(1/5) using De Moivre's Theorem?
Do you mean the 5th roots of 1? Or the 5th roots of 1^(1/5), i.e. the 5th roots of the 5th roots of 1?
I assume you mean the former. To begin with,
1 = exp(0°i ) = cos(0°) + i sin(0°)
Take the 5th root, i.e. (1/5)th power of both sides, so that by DeMoivre's theorem,
1^(1/5) = [ cos(0°) + i sin(0°) ]^(1/5)
1^(1/5) = cos((0° + 360°n)/5) + i sin((0° + 360°n)/5)
where n = 0, 1, 2, 3, or 4. Then 1^(1/5) has the 5 possible values,
• cos(0°/5) + i sin(0°/5) = 1
• cos(360°/5) + i sin(360°/5) = cos(72°) + i sin(72°)
• cos(720°/5) + i sin(720°/5) = cos(144°) + i sin(144°)
• cos(1080°/5) + i sin(1080°/5) = cos(216°) + i sin(216°)
• cos(1440°/5) + i sin(1440°/5) = cos(288°) + i sin(288°)
If you wish, or are required to, you can go on to write these in terms of radicals by expanding cos(5x) and sin(5x) (where x = 72° so that 5x = 360°). For example,
cos(5x) = cos⁵(x) - 10 cos³(x) sin²(x) + 5 cos(x) sin⁴(x)
cos(5x) = cos⁵(x) - 10 cos³(x) (1 - cos²(x)) + 5 cos(x) (1 - cos²(x))²
cos(5x) = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)
which follows from the expansion
(cos(x) + i sin(x))⁵ = cos(5x) + i sin(5x)
due to DeMoivre's theorem and equating the real parts. Then cos(5x) = 1, and you can try to solve for cos(x) :
1 = 16 cos⁵(x) - 20 cos³(x) + 5 cos(x)
Actually, it would be easier to find sin(x) first, since sin(5x) = 0. The expansion in terms of sin(x) will look quite similar to the one shown here.
Which is equal to 0.47?
CLEAR
SUBMIT
47
1,000
47
100
47
10
47
Answer: 47/100
Step-by-step explanation: 47/100 = 0.47.
the difference between
8,-7 and -3,-7
Answer:
1) is 15.
2) is 4.
Step-by-step explanation:
hope this helps :)
Answer:
8,-7 is over in ll
-3,-7 is over in 4
thatsone big difference
lmk if this helped
Can someone please help me
Answer:
A = 7 x 9.3
A = 65.1 yd²
Step-by-step explanation:
(I am assuming that either 7 or 9.3 refers to the height. It is unclear.)
A = bh
15 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER
Answer:
y = -x + 3
Step-by-step explanation:
The line is going down so the slope will be NEGATIVE
The line starts at (0, 3) which means the y-intercept is 3
The slope is -1 or -x
Find a general term a, for the sequence whose first four terms are given.
6, 14, 22, 30,...
Answer:
an = 6 +8(n -1)
Step-by-step explanation:
Usually, you're asked for a general term when you're studying arithmetic and/or geometric sequences. One way to tell which kind of sequence you have is to look at the differences between adjacent terms. If they are all the same, the sequence is arithmetic, and the general term is ...
an = a1 +d(n -1)
where a1 is the first term, and d is the common difference.
Here, the differences are ...
14 -6 = 8
22 -14 = 8
30 -22 = 8
These are all the same, hence a "common" difference. The first term is 6, so the general term is ...
an = 6 +8(n -1)
please help fast!!! i will give brainly
Answer:
What is the question?
Step-by-step explanation:
I dont see the question.
Step-by-step explanation:
1 fig.:not polygon
2 fig: polygon ,convex hexagon
3 fig.:polygon concave quadrilateral
4 fig.:polygon ,concave hexagon
The function
y
=
f
(
x
)
y=f(x) is graphed below. Plot a line segment connecting the points on
f
f where
x
=
−
4
x=−4 and
x
=
1.
x=1. Use the line segment to determine the average rate of change of the function
f
(
x
)
f(x) on the interval
−
4
≤
x
≤
1.
−4≤x≤1.
The average rate of change of the function is 1.6
How to to determine the average rate of change of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
The interval is given as
−4≤x≤1.
From the graph, we have
f(-4) = -4
f(1) = 4
The average rate of change at this interval is calculated as
Rate = Change in function values/Change in x values
So, we have
Rate = (-4 - 4)/(-4 - 1)
Evaluate
Rate = 1.6
Hence, the rate is 1.6
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what is the effect of the graph of the function f(x)=x^2 when f(x) is changed to f(x+8)?
Answer:
Step-by-step explanation:
graph is translated left by 8 units
Sketch the following polynomial function using the four-step process f(x)=x3+x2–9x -9 The left-hand behavior starts up and the right-hand behavior ends down Find the y-intercept The y-intercept is y = The real zeros of the polynomial are x = -3,-1,3 (Use a comma to separate answers as needed. Type an exact answer, using radicals as needed.) The multiplicity of the zero located farthest left on the x-axis is The multiplicity of the zero located between the leftmost and rightmost zeros is The multiplicity of the zero located farthest right on the x-axis is Evaluate a test point. What is the value of y at x = 2? y
The polynomial function f(x) = x^3 + x^2 - 9x - 9 has a left-hand behavior that starts up and a right-hand behavior that ends down. The y-intercept is y = -9. The real zeros of the polynomial are x = -3, -1, and 3. The value of y at x = 2 is -13.
To sketch the polynomial function f(x) = x^3 + x^2 - 9x - 9 using the given information, we'll follow the four-step process:
Determine the left-hand behavior
As the left-hand behavior starts up, the leading term of the polynomial is positive, indicating that the graph goes towards positive infinity as x approaches negative infinity.
Determine the right-hand behavior
As the right-hand behavior ends down, the degree of the polynomial is odd, suggesting that the graph goes towards negative infinity as x approaches positive infinity.
Find the y-intercept
To find the y-intercept, we substitute x = 0 into the function:
f(0) = (0)^3 + (0)^2 - 9(0) - 9 = -9
Therefore, the y-intercept is y = -9.
Find the real zeros and their multiplicities
The given real zeros of the polynomial are x = -3, -1, 3.
The multiplicity of the zero located farthest left on the x-axis (x = -3) is not provided.
The multiplicity of the zero located between the leftmost and rightmost zeros (x = -1) is not provided.
The multiplicity of the zero located farthest right on the x-axis (x = 3) is not provided.
Evaluate a test point
To evaluate a test point, let's use x = 2:
f(2) = (2)^3 + (2)^2 - 9(2) - 9 = -13
Therefore, the value of y at x = 2 is -13.
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3×4 1/3 pls help me I need help
Answer:
13
Step-by-step explanation:
you just multiply the 2 together
Answer:
the answer is 4
Step-by-step explanation:
its a simple equation, not much work needed, reduce the numbers with the greates common factor 3
The NC General Assembly increases minimum wage to $8.00/ hour.What is the impact of the demand for clothes?
The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.
We have,
Increasing the minimum wage to $8.00 per hour can have some impact on the demand for clothes.
Here are a few potential effects to consider:
Increased purchasing power:
When the minimum wage is increased, low-wage workers have more disposable income. This extra income can lead to increased consumer spending, including on clothing.
As a result, there could be a boost in the demand for clothes as more people can afford to purchase new clothing items.
A shift in consumer preferences:
With a higher minimum wage, individuals who previously had limited resources may now have the ability to choose higher-quality clothing or purchase from more expensive brands.
This shift in consumer preferences could lead to changes in the demand for different types of clothes and potentially result in an increase in demand for higher-end or premium clothing.
Price sensitivity:
While an increase in the minimum wage may provide workers with more spending power, some individuals may still be price-sensitive and prefer more affordable clothing options.
As a result, there may be continued demand for lower-priced clothing items or a preference for sales and discounts.
Employment and production costs:
An increase in the minimum wage could potentially lead to higher labor costs for clothing manufacturers and retailers.
To mitigate these increased costs, businesses may take steps such as adjusting their pricing strategies, implementing cost-saving measures, or exploring more efficient production methods.
These factors could impact the overall supply of clothes and potentially influence prices.
Thus,
The increase in the minimum wage to $8.00 per hour could potentially lead to an increased demand for clothes due to higher purchasing power and potential shifts in consumer preferences.
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Which relation is a function?
{(1, −1), (−2, 2), (−1, 2), (1, −2)}
{(1, 2), (2, 3), (3, 2), (2, 1)}
{(1, 4), (2, 3), (3, 2), (4, 1)}
{(4, 2), (3, 3), (2, 4), (3, 2)}
Answer:
The answer to this question is B
Step-by-step explanation:
just believe
If A is symmetric matrix, then A^3 is a _______ matrix.
If A is a symmetric matrix, then A³ is also a symmetric matrix.
To prove this, we can use the definition of a symmetric matrix, which is a matrix that is equal to its transpose. In other words, if A is a symmetric matrix, then A = A^T.
Now, let's look at A³:
A³ = A * A * A
We can replace each A with A^T, since they are equal:
A³ = A^T * A^T * A^T
Now, we can use the property that the transpose of a product of matrices is equal to the product of their transposes in reverse order:
A³ = (A^T * A^T * A^T)^T
A³ = (A^T)^T * (A^T)^T * (A^T)^T
Since the transpose of a transpose is the original matrix, we can simplify:
A³ = A * A * A
Therefore, A³ is also a symmetric matrix.
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