Answer:
8/38
Step-by-step explanation:
38 - total
8 - blue
Part A. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)x2 + 2y2 = 17k2Part B. Find the orthogonal trajectories of the family of curves. (Use C for any needed constant.)y2 = 7kx3
Answer:
Following are the solution to the question:
Step-by-step explanation:
The objective is to find the orthogonal trajectory of the family curves:
[tex]x^2+2y^2=17k^2[/tex]
The family curves are: [tex]x^2 + 2y^2=17k^2[/tex]
Differentiate the equation with the respect of x.
[tex]\to x^2+2y^2=17k^2 \\\\\to 2x+4y \frac{dy}{dx} =0\\\\\to \frac{dy}{dx} =- \frac{2x}{4y}\\\\\to \frac{dy}{dx} =- \frac{x}{2y}[/tex]
The negative reciprocal is:
[tex]\to \frac{dy}{dx} =-\frac{1}{-\frac{x}{2y}}\\\\\to \frac{dy}{dx} = \frac{2y}{x}[/tex]
Integration of the above equation:
[tex]\to \frac{dy}{dx} = \frac{2y}{x} \\\\\to \int \frac{dy}{2y} = \int \frac{dx}{x}\\\\\to \frac{1}{2} \log y = \log x + \log C\\\\\to \log y = 2 \log x + 2\log C \\\\\to \log y = \log x^2 +\log C^2 \\\\\to y = Ax^2 \ \ \ \ \ \ \ \ \ (A=C^2)[/tex]
Hence, the orthogonal trajectory of the family of the curves [tex]x^2 + 2y^2 =17k^2 \ \ is \ \ y=Ax^2[/tex]
Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x))
Answer:
2x - 4
Step-by-step explanation:
f(x) = x - 7
= 2x + 3 - 7
= 2x - 4
What is the length of the unknown leg in the right triangle
Answer:
i think it might be 15m
Step-by-step explanation:
What is the equation for the line in slope-intercept form? will give brainliest
Enter your answer in the box.
Answer:
y = 8x
Step-by-step explanation:
The slope is 8, the y-intercept is 0. The slope-intercept form is written:
y = mx + b
So this situation would be written y = 8x + 0 or just y = 8x.
Hope it helps!
Evaluate: f(x) = 2x^2 + 6x - 4; f(-5) *
1
-1 46
[tex]f(x)=2x^2+6x-4[/tex]
Find the f(-5) by substituting x = -5 in the equation.
[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]
Therefore, the answer is f(-5) = 16.
BACK AT IT AGAIN WITH 100 POINTSSSSS!!! FIRST ONE TO ANSWER GETSSSSSS BRAINLIEST!!!!!
Answer:
me breolllllll please
A table of values of a linear function is shown below.
Answer:
Slope is -2
y intercept is -3
Equation :y=-2x-3
Step-by-step explanation:
Estimate the solution of 4x + 5 = 34.
Answer:
29/4
Step-by-step explanation:
4x=29
x=29/4
The value of x and the solution of the equation is 7.25.
What is an Equation?An equation is a statement that is formed when two algebraic expressions are equated by an equal sign.
The solution of 4x+5 = 34 is
4x = 34-5
4x = 29
x = 29/4
x = 7.25
The value of x and the solution of the equation is 7.25.
To know more about Equation
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What’s is the slope?
Answer: 1/2
Step-by-step explanation:
y=1/2x-3
i need some help here
Answer:
the answer above is correct
Answer:
boxes
7
8
58.1
119.7
Step-by-step explanation:
look when u solve this it equals
8.3(7)+7.7(8)=119.7 but it tells u to add 61.6 so u go backwards subtract
119.7-61.6
58.1
just plug in
8.3(7)+7.7(8)=____+61.6
plug in
58.1+61.6
119.7
what fraction is equal to 5%
Answer:
5/100
1/20
Step-by-step explanation:
Answer: 5/100
Step-by-step explanation:
Sarah’s was given 12 cups of bird seed for 3 bird feeders. She filled the bird feeders for a whole week. How many cups of seeds did sarah put in each bird feeder each day?
Answer:
1.7 everyday
Step-by-step explanation:
graph the line whose x-intercept is -6 and whose y-intercept is -7
9514 1404 393
Answer:
see below
Step-by-step explanation:
When the intercepts are given, plot those and draw a line through them.
_____
Additional comment
The equation shown with the graph is the equation of a line in "intercept form." It is especially useful in a case like this where the intercepts are given.
Which equation is represented by the graph below
29. Which of the following expressions will result in a real answer after being simplified? Select all that apply.
A. (4+5i)(4-5i)
B. (4+91)(41-9)
C. (3+2i)(3-2i)
D. (2i+5i) (21-3)
E. (312+7i) (312-7i)
F. (3i2+7i)(312+7i)
Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
PLEASE HELP FAST ILL MARK AS BRAINLIEST!!!!!!
Answer:
I'm pretty sure it's neither? You need a graph or something for that
Answer:
I think its perpendicular
Step-by-step explanation:
When writing these points on a graph they make a square so when you connect the lines from the coordinates they cross making them perpendicular!
g(x) = x3 - 4
h(x) = x2 + 2
Find h(-2) - g(-1)
Answer:
11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = x³ - 4
h(x) = x² + 2
h(-2) is x = -2
g(-1) is x = -1
Step 2: Find h(-2) - g(-1)
Substitute: ((-2)² + 2) - ((-1)³ - 4)Exponents: (4 + 2) - (-1 - 4)Add/Subtract: 6 - (-5)Subtract: 11While shopping Lucy spent 48$. If the amount she spent was 15% of her savings how much savings did she have. Before she shopped
Answer:
im not sure but i think its 55.2
Step-by-step explanation:
48+15%=55.2
What is the length of the diagonal for the given rectangular prism to the nearest whole unit? A) 10 cm B) 11 cm 6 cm D) 13 cm
Hi there! :)
[tex]\large\boxed{\text{B. 11 cm.}}[/tex]
Begin by using Pythagorean theorem to solve for the length of the diagonal of the base:
a² + b² = c²
Use the length and width in the equation:
8² + 3² = c²
64 + 9 = c²
73 = c²
c ≈ 8.54 cm
Now, we can find the length of the diagonal of the prism using our calculated diagonal of the base and the height. Use the same equation:
(8.54)² + 7² = c²
73 + 49 = c²
122 = c²
√122 = c
c = 11.05 ≈ 11 cm. The correct answer is B.
Constructing a frequency distribution for grouped data
Ten cyclists were each asked the distance in miles they biked last week.
Their responses are given below.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of distances in that class.
(Note that we are using a class width of 5.)
Distance in miles
Distance in miles
Frequency
3
20
6
3
7
8
13
10
18
12
6 to 10
11 to 15
16 to 20 and 1 to 5
The grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
Given that, ten cyclists were each asked the distance in miles they biked last week. The distance travelled by 10 cyclists is 3, 20, 6, 3, 7, 8, 13, 10, 18 and 12.
We need to complete the grouped frequency distribution for the data.
What is the grouped frequency distribution?In this type, the data is arranged and separated into groups called class intervals. The frequency of data belonging to each class interval is noted in a frequency distribution table. The grouped frequency table shows the distribution of frequencies in class intervals.
Now, the frequency distribution for the given intervals is as follows:
That is, for intervals 1 to 5 the frequency is 2.
For intervals 5 to 10 the frequency is 4.
For intervals 11 to 15 the frequency is 2.
For intervals 16 to 20 the frequency is 2.
Therefore, the grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
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The table below shows the number of eggs needed for several servings of a recipe.
Number of
Eggs
Servings
3
18
6
36
9
54
How many eggs are needed for 90 servings?
A. 12 eggs
B. 15 eggs
O C. 18 eggs
OD. 21 eggs
1-16? Please help, I’ll give you 50 points!
Tell whether the relation is a function. Explain.
Use the balanced hanger diagram to choose the equations
that best represents how to find the mass of the square.
A. 5t = 42
b. x + 27 = 4x + 15
C. 5t = 36
d. x + 15 = 4x + 12
Answer:jkcv
ijfklgjk
Step-by-step explanation:
vn vvcxkhvxcl
What is 20% of $10
Select the best answer for the question.
18. Simplify 12 - (-8) x 4 = ?
O A. 44
B. 80
O C. 16
O D.-20
Mark for review (Will be highlighted on the review page)
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Simplify: 2 * 3 to the power of 2 + 3(6 - 3) - 10
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
[tex](2*3)^{2+3(6-3)-10}\\(2*3)^{2+9-10}\\(2*3)^{1}\\6[/tex]
During final exam weeks, many college students exercise to fuel their study sessions. Data from a recent survey are shown in the Venn diagram. Let M be the event that the student exercises in the morning and let A be the event that the student exercises in the afternoon.
A Venn diagram titled exercise habits. One circle is labeled M, 0.25, the other circle is labeled A, 014, the shared area is labeled 0.37, and the outside area is labeled 0.24.
What is the probability that a randomly chosen college student exercises in the morning or afternoon?
0.37
0.39
0.62
0.76
Answer:
WARNING! .39 AND .76 IS WRONG.
THE PEOPLE ABOVE ARE INCORRECT.
THE ANSWER IS EITHER .37 OR .62
I believe the correct answer is .62 --> .25 + .37 = .62 . This also makes sense.
(C)
ED2021
The probability that a randomly chosen college student exercises in the morning or afternoon are 0.37.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomesFrom the given Venn diagram, we see that
Probability that the student exercises in the afternoon
P(A) = 0.14 + 0.37 = 0.51
Probability that the student exercises in the morning
P(M) = 0.25 + 0.37 = 0.61
Now, the probability that a randomly chosen college student exercises in the morning or afternoon
P(A ∩ M) = 0.37
Learn more about probability here;
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30 PTS
a. 59
b. 36.9
c. 53.1
d. 30.1
Answer:
c)
Step-by-step explanation:
Please give me the correct answer
Answer: Many people assume that because DNA is so small, we can't see it without powerful microscopes. But in fact, DNA can be easily seen with the naked eye when collected from thousands of cells.