Answer:
Option A
Step-by-step explanation:
Many banks offer a rate of interest when putting your money into a savings account. The interest will help grow your money over time. Make sure you 're shopping around and check what fees are involved-you don't want to wind up paying more fees than you get in interest.
There are 37 students participating in an after-school program offering classes in yoga, bridge, and painting. Each student must take at least one of these three classes, but may take two or all three. There are 12 students taking yoga, 18 taking bridge, and 19 taking painting. There are 9 students taking at least two classes. How many students are taking all three classes
Answer: 3 students
Step-by-step explanation:
You can solve this using the expression;
Total = A + B + C - Both - all - neither
Where A, B and C represent those taking one class
As each student must take at least 1 class, there is no 'neither'.
37 = 12 + 18 + 19 - 9 - All
37 = 40 - All
All = 40 - 37
All = 3
Answer:
3
Step-by-step explanation:
I added the number of students enrolled in each class. It equaled 49.
I subtracted the number of students from that amount
49-37= 12
I subtracted the number of students enrolled in two or more classes
12-9= 3
3 are enrolled in 3 classes
find div(curl f) = ∇ · (∇ × f). f(x, y, z) = xyzi yj zk
If f(x, y, z) = xyzi + yj + zk, the divergence of the curl of the vector field f is zero.
To find the divergence of the curl of the vector field f(x,y,z) = xyzi + yj + zk, we first need to compute the curl of f, which is given by:
curl f = (∇ × f) = ∂(zk)/∂y - ∂(yj)/∂z + (∂(yj)/∂x - ∂(xyzi)/∂y)k + (∂(xyzi)/∂z - ∂(zk)/∂x)j + (∂(zk)/∂x - ∂(yj)/∂y) i
Simplifying this expression, we get:
curl f = (-z)i + xj + yk
Next, we need to find the divergence of the curl of f, which is given by:
div(curl f) = ∇ · (∇ × f) = ∂(∂(zk)/∂y - ∂(yj)/∂z)/∂x + ∂(∂(yj)/∂x - ∂(xyzi)/∂y)/∂y + ∂(∂(xyzi)/∂z - ∂(zk)/∂x)/∂z
Substituting the values from the curl f expression, we get:
div(curl f) = ∂(-z)/∂x + ∂(x)/∂y + ∂(y)/∂z
Simplifying this expression, we get:
div(curl f) = 0
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Hello! I need help with this question
Simplify 7.5 + n + 9.63.
Answer: Hi!
The only thing we're able to do to simplify this equation is combine our like terms. We have two like terms in the equation: 7.5 and 9.63.
7.5 + 9.63 = 17.13
Our equation now looks like this:
n + 17.13
We have nothing left to simplify, so we're done!
Hope this helps!
A plane flew at a constant speed between Denver and Chicago. It took the plane 1.5 hours to fly 915 miles. How far does the plan fly in 1 hour?
Answer:
610
Step-by-step explanation:
multiply 915 x 2/3 because 1 is 2/3 of 1.5 and you get 610
1=10^0 into logarithmic form
Answer:
\(0 = log_{10} 1\)
Step-by-step explanation:
Base for the exponent and for the logarithm are the same!
10^0 is the exponential form where 10 is the base and 0 the exponent
\(log_{10} 1\) is the logarithm form where 10 is the base
To solve \(log_{10} 1 =\) ask the question :
To what power should I raise the base 10 to obtain the number 1 ?
The answer to the power 0 therefore
\(log_{10} 1 = 0\)
\(1 = 10^{0} -is-the- exponential -form\\0 = log_{10} 1 - is -the -logarithmic -form\)
0.909 > 0.91
true or false
I need an answer and fast
Answer:
false
Step-by-step explanation:
0.909 is less than not greater than
Hope you have a good day, Loves!
Also if I'm right can you let me know, please?
Also Also if I am right can I please have Brainliest??
helppppppppppppppppppppp
Solve for p 7(p - 9) = -34.3
p=__?
Answer: p = 4.1
Step-by-step explanation:
Find the simplified product where x>=0
Answer:
The last one
Step-by-step explanation:
in the second part, x2 could to pull out as x
Answer:
D
Step-by-step explanation:
took it on edge.
Can you guys help me with this i really need it
The correct expression is given as; 5a + 24.99(12). Option B
What is the correct equation?We know that it is normal for us to be able to use an equation to be able to model a function. In this case, we have been told that the monthly payment that has to be made is given as $24.99 each month and this has to be done for twelve months.
In addition to this, there is a cost of $5 that has to be paid for each of the classes that we are taking. We would now need to assume that each of the classes would be represented as a.
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Mohammed is trying to find angle h. He finds angle g first and then he finds angle h from angle g.
a) Which angle fact does he use to find angle g
b) which angle fact does he then use to find angle h
a. The angle fact that Mohammed can use to find angle g is alternate angles
b) The angle fact that he then use to find angle h is alternate interior angles.
What is an alternate angle?When two parallel lines are cut by a transversal, the resulting alternate interior angles or alternate exterior angles are congruent, according to the alternate angle theorem. To demonstrate: If a transversal cuts two parallel lines, the alternate interior angles are equal.
When two parallel lines are intersected by a transversal, the angles formed inside them are equal to their alternate pairs. These are known as alternate interior angles.
In this case, it should be noted that the angles will be 137° based on the illustration.
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PLEASEEEEEEE I NEED THE NOWWWWWWWWW
Which of the following represents the equation for an exponential function?
y=x^(ab)
y = a(b^x)
y = a^x(b)
y = a^x
The equation of an exponential function is y = a(b^x)
What is an exponential function?An exponential function is a mathematical function that has a constant base raised to a variable exponent. Exponential functions are used to model processes that exhibit exponential growth or decay, such as population growth, radioactive decay, or the spread of infectious diseases.
The general form of an exponential function is:
f(x) = ab^x
where a is the initial value, b is the base, and x is the variable exponent. If the base is greater than 1, the function will exhibit exponential growth, while if the base is between 0 and 1, the function will exhibit exponential decay.
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In ΔVWX, x = 41 cm, v = 17 cm and ∠W=134°. Find the length of w, to the nearest centimeter.
Answer:
54
Step-by-step explanation:
deltamath gave me the answer
The length of w is 54 cm.
What is Trigonometry?One of the six mathematical functions used to express the side ratios of right triangles, the trigonometric function includes the sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). The figure shows these six trigonometric functions in respect to a right triangle. Surveying, engineering, and navigation issues where one of a right triangle's acute angles and the length of a side are known but the lengths of the other sides need to be determined can be solved with ease using trigonometry.
As per the given data:
x = 41 cm
v = 17 cm
∠W = 134°
To find the length of w:
From the cosine law: \(cos(W) = \frac{x^2 + v^2 - w^2}{2xv}\)
\(w = \sqrt{x^2 + v^2 - 2xvcos(W)}\\w = \sqrt{(41)^2 + (17)^2 - 2(41)(17)cos(W)}\\w = \sqrt{1681 + 289 + 968.35} = \sqrt{2938.35}\\w = 54 \:cm\)
Hence, the length of w is 54 cm.
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Find the measures of the exterior angles of the polygon.
Answer:
D : 125°,125°,55°,55°
Step-by-step explanation:
Finding the interior angles makes the question easier.
The two base angles for b1 are both 125°, and the two base angles for b2 are both 55°.
Because a straight line is 180°, we can find the exterior angles by subtracting the interior angles from 180°.
180°-55° = 125°
180°-125° = 55°
Does someone know if it is right? Please, if you don't know, it ok, but don't answer. PLEASE!
Ok here another way.
Which of the following exponential functions represents the graph below?
X
-
A. f(x) = 2•4*
B. f(x) = 4•2*
C. f(x) = 2•(1/4)*
D. f(x) - 4•(1/2)*
The equation which represents the curve will be f(x) = 2•(1/4)ˣ. Then the correct option is C.
What is an exponent?Let a is the base and x is the power of the exponent function and b is the y-intercept. The exponent is given as
f(x) = aˣ + b
The graph is given below.
The curve is passing through (0, 2), then the equation of the curve which satisfies the curve will be f(x) = 2•(1/4)ˣ.
Then the correct option is C.
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The Quadratic Formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a, was used to solve the equation 3x2 + 4x − 2 = 0. Fill in the missing denominator of the solution.
negative 2 plus or minus the square root of 10, all over blank
Answer:
3
Step-by-step explanation:
The quadratic formula is used to solve a quadratic equation in standard form, based on the values of the coefficients.
SolutionThe standard-form quadratic ax² +bx +c = 0 has solutions given by the quadratic formula:
\(x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)
For the quadratic 3x² +4x -2 = 0, we have a=3, b=4, c=-2 and the formula gives ...
\(x=\dfrac{-4\pm\sqrt{4^2-4(3)(-2)}}{2(3)}=\dfrac{-4\pm\sqrt{16+24}}{6}\\\\x=\dfrac{-4\pm 2\sqrt{10}}{6}=\dfrac{-2\pm\sqrt{10}}{3}\)
The denominator in the solution is 3.
Answer:
The answer is x=(-2±√10)/3
Step-by-step explanation:
I really need help on this!!!
Answer:
a.
linear? yes
why? because it is straight line
domain? 8
range? 8
b.
linear ? no
why? because it's curved
domain? -4
range?4
Which expression represents the phrase below: 2 less than the product of 6 and a number
Write the following numbers in ascending order (from smallest to largest): 1.2, 3%, 3/5, 0.3, and -1 1/3.
Answer:
-1 1/3, 0.3, 1.2, 3/5, 3,
Step-by-step explanation:
Hope I helped, can I plz have brainliest, ive never gotten one before!
two planes flying at the same altitude are heading toward jwd airport. the paths of these planes form a right triangle. the jet is flying due east toward jwd at 450 mph. the turboprop is approaching jwd from the south at 275 mph. when each is 100 miles from the airport how fast is the distance between the planes changing?
The speed of the distance between the two planes is increasing at 325 mph as they approach JWD Airport.
The two planes form a right triangle, with the jet flying due east at 450 mph and the turboprop approaching from the south at 275 mph. The hypotenuse of the triangle is the distance between the planes, and the length of the hypotenuse is changing as the planes approach the airport. The rate of change of the length of the hypotenuse is equal to the sum of the rates of change of the two sides of the triangle, which are the speeds of the jet and the turboprop. As they are both 100 miles from the airport, the speed of the distance between the two planes is equal to the sum of the two speeds, or 450 mph + 275 mph = 325 mph. Therefore, the distance between the two planes is changing at a rate of 325 mph.
Rate of change of distance between the planes = Rate of change of jet + Rate of change of turboprop
= 450 mph + 275 mph
= 325 mph.
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If you walk 3 kilometers in 30 minutes, what is your average speed in kilometers per hour?
Answer: 6
Step-by-step explanation:
Answer:
Pace in different units:
16 minutes 13.66 seconds per mile
10 minutes 5 seconds per kilometer
3.7 miles/hour
5.95 kilometers/hour
99.17 meters/minute
1.65 meters/second
I HOPE THIS RIGHT
What is (f+g) (x)
f(x) = -3x+3
g(x)=-4x as a polynomial or rational function in simplest form?
Rewrite 0.00384 in scientific notation.
3.84 x 10−3
3.84 x 10−2
3.84 x 102
3.84 x 103
Answer:
3.84 X 10-³. hope it's helpful
0.00384 in scientific notation is 3.84 x \(10^{-3\).
The correct answer is : a) 3.84 x \(10^{-3\).
We know that,
Scientific notation is a way to represent numbers as a product of a coefficient and a power of 10.
In this case, the given number is 0.00384.
To write it in scientific notation, we need to move the decimal point to the right until you have a number between 1 and 10, and then count the number of places we moved the decimal.
The power of 10 will be positive if we moved the decimal to the left (making the original number smaller), and negative if we moved the decimal to the right (making the original number larger).
Starting with 0.00384:
Move the decimal three places to the right: 3.84.
The original number was made 1000 times smaller,
so we need a power of \(10^{-3\).
So, 0.00384 in scientific notation is 3.84 x \(10^{-3\).
The correct answer is : a) 3.84 x \(10^{-3\).
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There was a sample of 350 milligrams of a radioactive substance to start a study. since then, the sample has decayed by 7.3% each year. let t be the number of years since the start of the study. let y be the mass of the sample in milligrams. write an exponential function showing the relationship between y and t .
Answer:
y = 350*0.927^tStep-by-step explanation:
Initial amount = 350 mgDecay = 7.3% per year or 0.073Time = t yearsFinal mass = yThe equation:
y = 350*(1 - 0.073)^t = 350*0.927^tWhat’s the unit rate of 144 pages in 3 minutes ?
Find the Principal unit normal for r(t) = sintit cost; + tk Evaluate it at t = Tyz Sketch the situation
We can plot the vector r(t) and the vector N(T) at the given value of t = T.
To find the principal unit normal for the vector-valued function r(t) = sin(t)i + tcos(t)j + tk, we need to compute the derivative of r(t) with respect to t and then normalize it to obtain a unit vector.
First, let's find the derivative of r(t):
r'(t) = cos(t)i + (cos(t) - tsin(t))j + k
Next, we'll normalize the vector r'(t) to obtain the unit vector:
||r'(t)|| = sqrt((cos(t))^2 + (cos(t) - tsin(t))^2 + 1^2)
Now, we can find the principal unit normal vector by dividing r'(t) by its magnitude:
N(t) = r'(t) / ||r'(t)||
Let's evaluate the principal unit normal at t = T:
N(T) = (cos(T)i + (cos(T) - Tsin(T))j + k) / ||r'(T)||
To sketch the situation, we can plot the vector r(t) and the vector N(T) at the given value of t = T.
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Identify the meaning of the variables in the point-slope form of a line.
m
(X1. Y1)
(x,y)
000
the slope of the line
any point on the line
a given point on the line
In the point-slope form of a line, (y-y1)=m(x-x1)
'm' represents the slope of the line.
(x1,y1) represents a given point on the line.
(x,y) represents any point on the line.
The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form.
A straight line is represented using its slope and a point on the line using point slope form. This means that the point slope form is used to determine the equation of a line whose slope is "m" and passes through the point (x1,y1).
The point slope form's equation is (y-y1)=m(x-x1), where (x, y) is a randomly chosen point on the line and m is the slope.
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Answer:
1) (x1,y1)= a given point on the line
2)(x,y) = any given point on the line
3)m= a slope of a line
Suppose That You Purchased A Call Option On The S&Amp;P 100 Index. The Option Has An Exercise Price Of 1,680, And The Index Is?
Exercising the in-the-money call option with an exercise price of 1,680 and the current index value of 1,720 would result in a profit of 40 per index, minus the premium paid for the option.
If the S&P 100 index is currently at 1,720, and the exercise price of the call option is 1,680, then the option is in-the-money. In other words, if you were to exercise the call option, you would be able to buy the S&P 100 index at a price that is lower than its current market value.
To determine the profit from exercising the option, you need to calculate the option's intrinsic value, which is the difference between the current index value and the exercise price. In this case, the intrinsic value of the call option is:
Intrinsic Value = Current Index Value - Exercise Price
Intrinsic Value = 1,720 - 1,680
Intrinsic Value = 40
So, if you were to exercise the call option, you would be able to buy the S&P 100 index at a price of 1,680 and then sell it in the market at the current value of 1,720, resulting in a profit of 40 per index.
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Suppose that you purchased a call option on the S&P 100 Index. The option has an exercise price of 1,680, and the index is now at 1,720. What will happen when you exercise the option?