1125 is the answer to the question
You see they say 32 so they mean multiply 3×3=9.
Nad then they say 53 so multiply 5×5×5=125.
so 125 ×9=1125.
What is the quotient of (-20/35) divided by 12/20
Answer:
-0.95238095238???????
The original quantity is 10 and the new quantity is 13% what is the percent change is it increase or decrease
Answer:
The change is a decrease of 87%
Answer:
the change of decrease is 87%
Step-by-step explanation:
please help!
fill in the blanks
(-2,1) m = -3
y - __ = __ ( x - __ ) ?
(3,-4) m = -1
y - __ = __ ( x - __ ) ?
(-2,-4) m = 1
y - __ = __ ( x - __ ) ?
Please show how you got the answer
rewrite in y = mx + b form:
y + 1 = 2/3(x - 6)
rewrite in Ax + By = C form:
y - 3 = -1/2(x - 4)
y + 1 = 2/3(x - 6)
Answer:
−3=−12(−4)+1=23(−6)
y-3=\frac{-1}{2}(x-4)y+1=\frac{2}{3}(x-6)
Find the distance between the two points S(–5, –2) and T(–3, 4).
Answer:
10 units
Step-by-step explanation:
this is right answer
Find the area inside the quadrilateral with corners (1, 2), (2,3), (5,1), and (3,-1). Use calculus to do this. With what I am expecting, there will be three definite integrals involved. You should start by sketching this quadrilateral.
The area inside the quadrilateral with corners (1, 2), (2, 3), (5, 1), and (3, -1) is approximately 4.5 square units.
1. Sketch the quadrilateral with given vertices.
2. Divide the quadrilateral into three triangles:
- Triangle 1: (1, 2), (2, 3), (3, -1)
- Triangle 2: (1, 2), (3, -1), (5, 1)
- Triangle 3: (2, 3), (3, -1), (5, 1)
3. For each triangle, find the equation of the line connecting its two points on the same vertical level (either x=1, x=3, or x=5).
4. Calculate the definite integral of each line equation over its respective x range.
5. Subtract the lower line's integral from the upper line's integral for each triangle to find each triangle's area.
6. Add the areas of the three triangles to find the total area of the quadrilateral.
Following these steps, the quadrilateral's area is approximately 4.5 square units.
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simplify. write your answers without exponends.
Answer:
(1/32)^(3/5) = 1/2^15.
(9)^(-3/2) = 1/27.
Step-by-step explanation:
To simplify the expressions:
(1/32)^(3/5):
To simplify this expression, we can raise the numerator and the denominator separately to the power of 3/5.
(1/32)^(3/5) = (1^(3/5))/(32^(3/5))
The numerator simplifies to 1^3 = 1, and the denominator simplifies to (2^5)^3 = 2^(5*3) = 2^15.
Therefore, the expression simplifies to:
(1/32)^(3/5) = 1/2^15.
(9)^(-3/2):
To simplify this expression, we can take the reciprocal of 9^3/2, which is equivalent to the square root of 9 cubed.
9^(3/2) = sqrt(9^3) = sqrt(999) = sqrt(729) = 27.
Taking the reciprocal gives:
(9)^(-3/2) = 1/27.
Therefore, the simplified expression is 1/27.
A number, x, greater than lirie positive square root of 36.
To express a number x that is greater than the positive square root of 36, we first need to determine the value of the positive square root of 36.
The positive square root of 36 is √36, which is equal to 6 since 6 * 6 = 36.
Now, to express a number x greater than the positive square root of 36, we can simply choose any value greater than 6. For example, x = 7, x = 10, x = 100, etc. As long as x is greater than 6, it satisfies the given condition.
Therefore, any number greater than 6, such as x > 6, would be an appropriate representation of a number greater than the positive square root of 36.
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what is the angle of the compass direction of a line connecting your starting point to your final position measured north of west in degrees?
53.9 degree is the angle of the compass direction of a line connecting your starting point to your final position measured from north of west.
A compass is a tool for orientation and navigation that displays direction in relation to the four cardinal directions of the earth (or points). The directions north, south, east, and west are typically represented on the compass face as initialised abbreviations in a design called a compass rose. The rose can be aligned with the corresponding geographic directions when the compass is employed; for instance, the rose's "N" mark points northward. Compass roses are frequently joined with (or occasionally replaced by) marks indicating angles in degrees. East is 90° degrees, south is 180° degrees, and west is 270° degrees, with north being 0° and the angles increasing clockwise.
Here,
You started by travelling west to north.
Your entire distance from the beginning location is your hypotenuse.
\(H^{2}= P^{2}+ B^{2} \\\\H^{2}= 17.5^{2}+ 24^{2}\\\\H^{2}= 306.25+ 576\\\\H=\sqrt{882.25} \\\\=29.7 meters\)
You are moving in the northwest.
Use trigonometry now:
\(sin\alpha =\frac{B}{H}\\\\sin\alpha =\frac{24}{29.70} \\\\=0.808\\\\\alpha =53.9 degree\)
That's the angle of the compass direction.
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Solve the following problem using analytical techniques: Suppose you walk 17.5 m straight west and then 24.0 m straight north. How far are you from your starting point, & what is the compass direction of a line connecting your starting point to your final point?
Guys what is the volume formula called for this please ?
Answer:
Total Area = 24830.437\(m^{3}\)
Step-by-step explanation:
This will be using different AREA formula to find the inner area amount
The image is color coded to each shape area
Let me know if you have any questions !
Hope this helps :)
Evaluate the expression when c=36 and d=24
The value of the expression after evaluating it according to the values of c and d is 42.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Since, no expression is given, let us assume that the expression is
c + d / 4
Now we have to evaluate the value of the expression according to the values of c and d,
For that, we will simply put the given values in the expression and solved it accordingly,
Put c = 36 and d = 24 in the expression we assumed,
c + d / 4 = 36 + 24/4
= 36 + 6 = 42
Hence, the value of the expression after evaluating it according to the values of c and d is 42.
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Ivan is an artist. He creates 1 sculpture for every 7 paintings. If he has created 70 paintings, how many sculptures has he created?
Answer:
10 sculptures.
Step-by-step explanation:
10x7=70 or painstakingly multiply 7 by each number until 10. It isn't that hard so go ahead. You can use a calculator as well. Put it into fraction form if you needed, but the answer is 10 sculptures for 70 paintings or 10/70.
If 1/4 gallon of paint covers 1/3 of a wall in Luna's bedroom, how many gallons of paint does she need to cover 1 wall?
Answer: 3/4 of a gallon
Step-by-step explanation:
1/4 times 1/3 is 3/4 so she would need to buy a gallon of paint
!PLEASE HELPP ME!!
What decimal number is represented by the shaded portion of the model?
Answer: this is
1 3/10= 1.3
order the fractions 4/5, 1/2,9/10,3/4 from least to greatest
Answer:
1/2 -> 3/4 -> 4/5 -> 9/10
Step-by-step explanation:
1/2 = 50%
3/4 = 75%
4/5 = 80%
9/10 = 90%
How to figure out:
1/2 - Divide 100/2 = 50. So 1/2 of 100 is 50 so 50%
3/4 - Divide 100/4 = 25. Now multiply 25 x 3 = 75 so 75%
4/5 - Divide 100/5 = 20. Now multiply 20 x 4 = 80 so 80%
9/10 - Divide 100/10 = 10. Now multiply 10 x 9 = 90 so 90%
Find the area of the composite figure.
A) 22m
B) 26m
C) 30m
D) 34m
Answer:
C is the answer.
O No; there are y-values that have more than one x-value.
• No; the graph fails the vertical line test.
• Yes; the graph passes the vertical line test.
Yes; there are no y-values that have more than one x-value.
The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
How do functions work?According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.
Please refer to the image instead of the graph, which is related to it.
The graphic displays a graph.
A parabola is seen on the graph.
The vertical line test determines if a graph can be a function, as is common knowledge.
The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
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Find a polar equation for the curve represented by the given Cartesian equation. x2+y2=25. x2+y2=−8y. y=√3x
The polar equation for this curve is: theta = pi/3 (or any angle that satisfies tan(theta) = sqrt(3))
To find the polar equation for the curve represented by the given Cartesian equations, we can use the conversion formulas between Cartesian and polar coordinates.
\(x^2 + y^2 = 25:\)
In polar coordinates, the conversion formulas are:
x = r cos(theta)
y = r sin(theta)
Substituting these values into the equation \(x^2 + y^2 = 25:\)
\((r cos(theta))^2 + (r sin(theta))^2 = 25\)
\(r^2 (cos^2(theta) + sin^2(theta)) = 25\)
\(r^2 = 25\)
The polar equation for this curve is simply:
r = 5
\(x^2 + y^2 = -8y:\)
In polar coordinates:
x = r cos(theta)
y = r sin(theta)
Substituting these values into the equation \(x^2 + y^2 = -8y:\)
\((r cos(theta))^2 + (r sin(theta))^2 = -8(r sin(theta))\)
\(r^2 (cos^2(theta) + sin^2(theta)) = -8r sin(theta)\)
\(r^2 = -8r sin(theta)\)
The polar equation for this curve is:
r = -8 sin(theta)
y = sqrt(3) x:
In polar coordinates:
x = r cos(theta)
y = r sin(theta)
Substituting these values into the equation y = sqrt(3) x:
r sin(theta) = sqrt(3) (r cos(theta))
r sin(theta) = sqrt(3) r cos(theta)
tan(theta) = sqrt(3)
The polar equation for this curve is:
theta = pi/3 (or any angle that satisfies tan(theta) = sqrt(3))
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Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) 7xe, a = 0 Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) f(x) = 2 cos(x), a = 0 Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R, (x) 0.] cos(3x) f(x) 8 f(x) = M8 n = 0 Find the associated radius of convergence R. R= Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R, (x) +0.] f(x) = 4 cos(x), a = 57 f(x) = n = 0 Find the associated radius of convergence R. R = Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) 6x2 + 1 f(x) = Î n = 0 Determine the interval of convergence. (Enter your answer using interval notation.)
So the Taylor series for the function informed will be:
7x, 7x², 21/6 x³, 7/6 x⁴
The function is:
f(x) = 7eˣx
WE need to use the definition of a Taylor series to find the first four non zero terms of the series for f(x) centered at the given value of a.
f(x) = ∑ (fⁿ(a) (x - a)ⁿ)/n!
The first four terms will be:
f(x) = f(0) + f(1) + f(2) + f(3)
f(x) = (f(a) (0- a)ⁿ)/n! + (f'(a) (1 - a)ⁿ)/1! + (f''(a) (2 - a)²)/2! + (f'''(a) (3 - a)³)/3!
Therefore, the four first terms are 7x, 7x², 21/6 x³, 7/6 x⁴
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Aneil wants to plant tomato plants and lettuce plants in a 60-square-foot garden. The tomato plants take up 2 square feet, and the lettuce plants take up 3 square feet. The equation 2x + 3y = 60 describes the number of tomato plants, x, and lettuce plants, y, that Aneil can plant in the garden. Graph this function and find the intercepts. What does each intercept represent?
Step-by-step explanation:
The more regular way of presenting such a graph is y = -2/3 x + 20
(Put the x on the right and made sure that the y has a coefficient of 1.)
Coefficient means the number in front of the letter (in this case).
x intercept = 30
(30,0)
y intercept = 20
(0,20)
The intercepts mean
The y intercept means the whole garden contains nothing but lettuce. (20)
The x intercept means the whole garden contains nothing but tomatoes.(30)
Translate the word phrase into a math expression.
12 meters longer than his throw.
t−12
t ÷ 12
t + 12
12 × t
answer right and get brainliest
Answer:
t+12
Step-by-step explanation:
brainliest por favor ❤❤
Answer:
t+12
Step-by-step explanation:
12 meters longer means that you're adding meters onto the throw. Hope that helps :)
The side lengths of a 30-60-90 triangle are in the ratio 1 : 3:2. What is
sin 30°?
Answer:
1/2
Step-by-step explanation:
other answer was wrong
The value of sin30 is \(\frac{1}{2}\)
What is a 30-60-90 triangle?The 30-60-90 triangle is called a special right triangle as the angles of this triangle are in a unique ratio of 1:2:3.
According to the given sum:
In theory, we know,
For a 30-60-90 triangle, the sides opposite to 30° is x , side opposite to 60° is x*\(\sqrt3}\) and the side opposite to 90° is 2x
Therefore,
If x = 1,
The sides are \(\sqrt{3},2,1\) where,
perpendicular = \(\sqrt{3}\)
Base = 1
Hypotenuse = 2
We know sinФ = \(\frac{perpendicular}{Hypotenuse}\)
But in the case of sin30 , we have to take perpendicular as 1 and hypotenuse as 2, that is the angle has to be at base. If it was sin60, we would have taken perpendicular as \(\sqrt{3}\) and hypotenuse as 2.
Therefore,
Sin30 = \(\frac{1}{2}\)
Hence, we can conclude that the value of sin30 is \(\frac{1}{2}\).
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Jerry bought 5 candy bars for $14.75. If the king size candy bars cost $3.75 and a regular size candy bar cost $1.75 , how many of each candy bar did he buy?
One equation looks like:
3.75x + 1.75y = 14.75
Find the other equation and solve the system.
Answer:
3=x 2=y
Step-by-step explanation:
x+y=5
y=5x
plug that in and redo it for x
you must write two sepreate equations
-27 = -6-3p I need help
Answer:
p=7
Step-by-step explanation:
use inverse operation
add 6 to both sides
you get
-3p=-21
divide -3 from both sides
p=7
Answer:
p=7
Step-by-step explanation:
Evaluate the expression.
(6÷
–
3)2×8
Answer:
(6÷
–
3)2×8
Step-by-step explanation:
the answer is 4
in the accompanying figure of circle o the measure of ac is 84 what is the measure of abc
Check the picture below.
When given a set of cards laying face down that spell P, E, R, C, E, N, T, S, determine the probability of randomly drawing a vowel.
two eighths
six eighths
two sevenths
six sevenths
The probability of randomly drawing a vowel is two eighths
Calculating the probability of randomly drawing a vowel.From the question, we have the following parameters that can be used in our computation:
P, E, R, C, E, N, T, S
Using the above as a guide, we have the following:
Vowels = 2
Total = 8
So, we have
P(Vowel) = Vowel/Total
Substitute the known values in the above equation, so, we have the following representation
P(Vowel) = 2/8 = two eighths
Hence, the solution is two eighths
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Y=2x^2+2x-4 what is the x intercepts for the parabola
Answer:
Step-by-step explanation:
To find the x intercepts, substitute in 0 for y and solve for x
So,
2x^2+2x-4 = 0
2(x^2+x-4) = 0
2/2(x^2+x-4) = 0/2
x^2+x-4 = 0
(x-1) (x+2) = 0
now,
x-1 = 0
x = 1
or
x+2 = 0
x = -2
The x intercepts for the parabola (1,0), (-2,0)
Evaluate the indefinite integral. Use a capital " C " for any constant term. ∫(3ex+4x5−x34+1)dx= TIP Enter your answer as an expression. Example: 3x∧2+1,x/5,(a+b)/c Be sure your variables match those in the question
The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.
∫3e^x dx = 3∫e^x dx = 3e^x + C₁
∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂
∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃
∫1 dx = x + C₄
Now, we can combine these results to obtain the final answer:
∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C
Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:
∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C
where C is the constant of integration.
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Which of the following rational functions is graphed below?
The rational function shown in the graph is the one in option A.
Which of the following rational functions is graphed below?To identify the function we need to look at the vertical asympthotes. We can see that we have one at x = -2 and other at x = 1.
Then the denominator must be zero at these two values, so the denominator is something like:
(x + 2)*(x - 1)
And the only option with that denominator is A, so that is the function shown in the graph.
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Exit
A park ranger wants to estimate the number of fish in a lake.
She catches 400 fish.
She marks them with ink and puts them back in the lake.
The next day she catches 60 fish.
There are 3 marked with ink.
Work out how many fish the ranger would expect to have in the whole lake.
(3 marks)
458 fishes
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The answer is in the picture. Click on it.