Answer:
the 8 on the left is 10 times the value of the 8 on the right
Let y = sec(x).
dy
TT
What is the value of at =
?
dac 4
Choose 1 answer:
1
1
2
V2
Answer:
C. √2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationPre-Calculus
Unit CircleCalculus
Derivatives Derivative Notation Derivative of sec(x) = sec(x)tan(x)Step-by-step explanation:
Step 1: Define
y = sec(x)
x = π/4
Step 2: Differentiate
Differentiate: y' = sec(x)tan(x)Step 3: Evaluate
Substitute in x: y'(π/4) = sec(π/4)tan(π/4)Evaluate: y' = √2distributive property and combine like terms to simplify -7 (5q -6) + 3
Answer:
Aplicar al propiedad distributiva.
7
(
5
q
)
+
7
⋅
−
6
+
3
Multiplicar
5
por
7
.
35
q
+
7
⋅
−
6
+
3
Multiplicar
7
por
−
6
.
35
q
−
42
+
3
Sumar
−
42
y
3
.
35
q
−
39
is (2,-1) a solution of y≥2x+5?
Answer:
Not a solution
Step-by-step explanation:
y ≥ 2x + 5
=> Substituting x = 2 and y = -1 in Equation,
=> -1 ≥ 2(2) + 5
=> -1 ≥ 4 + 5
=> -1 ≥ 9 [Not possible]
Therefore, (2,-1) is not a solution of y ≥ 2x + 5
Use a u-substitution to evaluate 0∫π/3 cos⁴xsinx dx
The answer to the integral 0∫π/3 cos⁴xsinx dx using a u-substitution is -5/24 - √3/24, or approximately -0.315.To use a u-substitution to evaluate 0∫π/3 cos⁴xsinx dx, we will use the following steps:
Step 1: Choose a u-substitution that simplifies the integral. In this case, we will let u = cosx, which will allow us to rewrite the integral as 0∫1 u⁴(1-u²)du.
Step 2: Substitute the expression for u into the integral, and simplify. Using the substitution u = cosx, we have:
0∫π/3 cos⁴xsinx dx = 0∫1 u⁴(1-u²)du
Step 3: Evaluate the integral using standard integration techniques. Integrating u⁴(1-u²) with respect to u, we get:
∫ u⁴(1-u²)du = (1/5)u⁵ - (1/3)u³ + C
Step 4: Evaluate the integral from 0 to 1 using the substitution u = cosx. Substituting back, we have:
0∫π/3 cos⁴xsinx dx = (1/5)cos⁵x - (1/3)cos³x ∣₀ᴰ³/₃
Evaluating this expression at the limits of integration, we get:
(1/5)(cos⁵(π/3) - cos⁵(0)) - (1/3)(cos³(π/3) - cos³(0))
Simplifying, we get:
(1/5)(27/64 - 1) - (1/3)(3√3/8 - 1)
= -1/120 (27 - 64) - √3/24 + 1/3
= -5/24 - √3/24
Therefore, the answer to the integral 0∫π/3 cos⁴xsinx dx using a u-substitution is -5/24 - √3/24, or approximately -0.315.
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pamala has 84 and alannah had 12$ how money must pamala give to so that alanny will three times as much as pamala
In order to make the Alannah's money 3 times the Pamala's money, Pamala need to give Alannah $ 60.
Money with Pamala = $ 84
Money with Alannah = $ 12
Now let the money given by Pamala to Alannah be x
So, for money with Alannah to become 3 times of the money with Pamala, we get the equation as:
3 ( 84 - x) = ( 12 + x )
252 - 3 x = 12 + x
3 x + x = 252 - 12
4 x = 240
x = 240 / 4
x = $ 60
Pamala gave Alannah $ 60.
Therefore, we get that, in order to make the Alannah's money 3 times the Pamala's money, Pamala need to give Alannah $ 60.
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what is 90.90 rounded to the ones
Answer:
91.00
Step-by-step explanation:
I got you
-14x + 18 - 11 -2x + 3
Answer:
-2(8x-5)
Step-by-step explanation:
Answer:
I think you meant -14x+18-11-2x+3=0
If that's the case then x= 5/8
Step-by-step explanation:
-16x+10=0
-16x= -10
x= -10/-16 = 5/8
In decimal form it is 0.625
Factor x^2−2x. Is this a special product?
Answer:
x(x-2)
Step-by-step explanation:
x^2−2x
Factor out an x
x(x-2)
This is not a special product
Which of the following pairs of hypotheses are used to test if the mean of the first population is smaller than the mean of the second population, using independent random sampling?
H0: µ1-µ2 ≥ 0
HA: µ1-µ2 < 0
The pair of hypotheses used to test if the mean of the first population is smaller than the mean of the second population, using independent random sampling, is H0: µ1-µ2 ≥ 0 and HA: µ1-µ2 < 0.
The given pair of hypotheses represents a one-tailed test where we are interested in determining if the mean of the first population (µ1) is smaller than the mean of the second population (µ2).
The null hypothesis (H0) states that the difference between the means, represented by (µ1-µ2), is greater than or equal to zero. This means that there is no significant difference between the means or that the mean of the first population is equal to or greater than the mean of the second population.
The alternative hypothesis (HA) states that the difference between the means, represented by (µ1-µ2), is less than zero. This suggests that there is a significant difference between the means and specifically indicates that the mean of the first population is smaller than the mean of the second population.
By conducting a statistical test, such as a t-test or z-test, and analyzing the results, we can evaluate the evidence and make an inference regarding the relationship between the means of the two populations based on the given pair of hypotheses.
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Question
Suppose J=[−1428].
What is the value of ∣∣J∣∣?
Enter your answer in the box.
From the information given about the above matrix, the value of |J| is 16.
What is matrix?It is to be noted that a Matrix, is a set of numbers arranged in rows and columns so as to form a rectangular array.
Given that J = [-1428];
Hence, the determinant of the matrix J is:
|J| = |(-1 * 8) - (4 *2)]
|J| = |-8 - 8|
|J| = | 16|
|J| = 16
Therefore, the value of |J| is 16.
Note: The determinant is a scalar variable in mathematics that is a function of the elements of a square matrix. It enables the characterization of some properties of the matrix as well as the linear map represented by the matrix.
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let f(x)=x+3 and g(x)=6x+4. find f(x)+g(x), g(x)-f(x), and g(f(x)).
I hope this helps you...
y =
the solution to the
You can use the interactive
-2x +2y = -4
3x + 3y = -18
Answer:
ur welcoem
Step-by-step explanation:
The equation �=112�y=1\frac{1}{2}xy=1
2
1
x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Determine whether each point would be on the graph of this proportional relationship.
Choose Yes or No for each point.
The coordinates (2,1) will be on graph but (1,3) is not on graph.
What is a coordinate?
A coordinate is a set of two or more numbers or variables that identify the position of a point, line, or plane in a space of a given dimension. Coordinates are used to pinpoint a particular location, such as a specific point on a map or a specific point in a mathematical equation.
This means that for every 1.5 cups of dried fruit, there is 1 pound of granola. The graph of this proportional relationship would be a line that goes through the origin and has a slope of 1.5. For the point (2,1), the x-coordinate (2) is exactly 1.5 times the y-coordinate (1). This means that if you used 2 cups of dried fruit, you would get 1 pound of granola. Therefore, this point would be on the graph of the proportional relationship, so the answer is Yes. However, for the point (1,3), the x-coordinate (1) is not 1.5 times the y-coordinate (3). This means that if you used 1 cup of dried fruit, you would not get 3 pounds of granola.
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14. The figure shows a slice of an apple pie in the shape of a sector of a circle with centre O and radius 8cm. A cut is made along AB to remove some of the crust
Given that AB = 7 cm find:
(i) AOB in radians
(ii) the maximum number of slices that can be obtained from one full pie.
(iii) the area of the shaded segment that has been removed
Step-by-step explanation:
(i) Using the law of cosines, we can find that
\(cos(O) = \frac{8^{2}+8^{2} - 7^{2}}{8*8*2}\) ≈ 0.62, so O ≈ 0.9
(ii) Since the whole pie has 2π radians (or 360 degrees), we can divide 0.9 by 2π to get around 6.9 slices from the pie
(iii) The area of the shaded segment can be found by finding sector OAB and subtracting triangle OAB from that. Sector OAB can be found by finding the area of the pie (π*8², since 8 is the radius) and dividing that by 6.9, so we get 64π/6.9 ≈ 29. Then, the area of the triangle is √p(p-a)(p-b)(p-c), with p being the perimeter and a, b, and c being the sides. Plugging 7, 8, and 8 in, we get 25.1781 as our area, so the difference is around 3.8
8.) Every Sunday, Shoshana makes trail mix for the week. She wants to make enough to bring ½ cup to school for Monday - Friday. Write an inequality for the number of cups of trail mix, x, that Shoshana will make for the week.
The number of cups of trail mix, x that Shoshana will make for the week as required is; x ≥ 2½.
Which inequality represents the number of cups Shoshana needs to make?As evident from the task content; Shoshana wants to make enough to bring ½ cup to school for Monday - Friday.
Hence, the number of days is 5 in which case ½ cups is used for each day.
On this note, the minimum number of cups she needs to prepare is; 5 × ½ = 2½.
On this note, the required inequality is; x ≥ 2½.
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Solve questions 3-9 please.
The graph of a proportional relationship is a line through the origin or a ray whose endpoint is the origin
3. No because it's a line that doesn't go through the origin
4. Yes because it's a line through the origin
5. Yes because 1/3 = 2/6 = 3/9 = 4/12
6. No because 4/2 isn't equal to 8/5
7. Draw a graph just like 4., but change the y-axis
8. a. Let the equation be y = ax. 27 = 3a. a = 9. Therefore the equation is y = 9x.
8. b. 9
8. c. 9 * 5 = 45
9. a. The car travels 25 (> 18) miles per gallon of gasoline.
9. b. 25 * 8 - 18 * 8 = 7 * 8 = 56
When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is ________ .a. urinaryb. bladderc. fissured. supravesical
The correct option of the given question is option (c) fissure.
When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is c. fissure.
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The main term to reference in the index when coding the phrase "supravesical fissure of urinary bladder" is c. fissure.
In medical coding, the index is typically organized alphabetically based on the main terms or significant words within medical terminology. In this case, "fissure" is the main term that represents the specific condition or anatomical feature being coded.
The other terms, such as "urinary," "bladder," and "supravesical," provide additional context but are not the primary focus when searching for the appropriate code in the index.
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15 POINTS HELP!
A liquid used to unclog sinks has a pH value of 14. This liquid is _____.
neutral
an acid
a base
Answer:
A base
Step-by-step explanation:
its not an acid bc a ph level of 14 means is has a strong base.
Given the isosceles trapezoid, find the value of x
Answer:
x = 11
Step-by-step explanation:
The lower base angles are congruent, so
4x + 41 = 85 ( subtract 41 from both sides )
4x = 44 ( divide both sides by 4 )
x = 11
What is the value of b2 4ac for the following equation x2 5x 4 0 16 25 9 next question?
The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.
What is the discriminant of a polynomial?
The discriminant of a polynomial is a function of its coefficients and is represented by the capital ‘D’ or Delta symbol (Δ). It shows the nature of the roots of any quadratic equations where a, b, and c are real numbers.
It is represented as ‘D’
D = b² - 4ac
Where,
a is the coefficient of x²
b is the coefficient of x
c is a constant term
x² + 5x + 4 = 0
We have given:
x² + 5x + 4 = 0
Comparing the equation with the standard form.
a = 1, b = 5 and c = 4
Substituting it in the formula
D = 5² - 4 × 1 + 4
By further calculation
D = 25 - 16
D = 9,
The quadratic roots are real and distinct
Therefore, the value of b² - 4ac is 9.
Hence, The value of b² - 4ac for the equation x² + 5x + 4 = 0 is 9.
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Find the slope of the line through the given points (3,2),(3,1)
This is because the x coordinates of each point are the same (both are 3). These two points form a vertical line, and any vertical line has an undefined slope.
We could use the slope formula to see that...
m = (y2-y1)/(x2-x1)
m = (1-2)/(3-3)
m = -1/0
m = undefined
We cannot divide by zero, so that's why the slope is undefined.
5, 2, – 1, –4,
What is the 20th term?
Answer:
-52 is the 20th term
Step-by-step explanation:
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
Answer:
108
Step-by-step explanation:
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
First substitute x into the expression
= 9²-81/√9 - 3
= 81-81/3-3
= 0/0 (indeterminate)
Apply l'hospital rule
= lim x -> 9 d/dx(x²-81)/√x - 3
= lim x -> 9 2x/1/2√x
Substitute x = 9
= 2(9)/1/2√9
=18/1/(2(3)
=18 × 6/1
= 108
Hence the limit of the function is 108
Sandy’s 8th grade math class receives $13.50 for every 5 boxes of chocolates that they sell. Which graph shows this relationship with the same unit rate?
Answer:
See Explanation
Step-by-step explanation:
The graphs are not given; however, I'll answer with the graph equation and also attach the graph...
Represent the boxes with x and the cash received with y.
When x = 5
y = 13.50
When x = 10
y = 27
First, we need to get the slope of the graph.
m = (y2 - y1)/(x2 - x1).
m = (27 - 13.5)/(10 - 5)
m = 13.5/5
m = 2.7
Next, is to determine the graph equation using
y - y1 = m(x - x1)
y - 13.5 = 2.7(x - 5)
y - 13.5 = 2.7x - 13.5
y = 2.7x - 13.5 + 13.5
y = 2.7x..
See Attachment for graph
Which line is perpendicular to the line shown on the graph?
Answer: Is A in the correct answer
Step-by-step explanation:
The line perpendicular to the line y=2x/3 is Option A) -3x/2+2
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here, the line passes through the points (0,-1) and (3/2,0)
Thus using the two point form we get the equation of the line as
y=2x/3 +1 with slope =2/3
And in option 1 we have y=-3x/2 + 2 with slope = -3/2 and thus the product of the slopes of the two lines is -3/2 × 2/3 = -1
∴y=2x/3 +1 and y=-3x/2 + 2 are perpendicular.
Hence, The two lines are perpendicular and option A is the correct option.
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what is the line of symmetry of graph of f(x)=(x+2)²-5
a. x=-5
b. x=-2
c. x=2
d. x=5
thank u very much❤️
The line of symmetry is like vertex but without k value.
From (h, k) which is vertex. h is basically a line of symmetry.
Therefore if vertex for the graph is (-2,-5)
The line of symmetry would be x=-2
So the answer is B.
2-6=? need help please
An 20-sided dice with numbers from 1 to 20 is rolled. what is the probability that a number less than 7 is rolled? write your answer as an exact fraction which is reduced as much as possible.
The probability that number less than 7 is rolled is 0.30
What is the probability that number less than 7 is rolled?The given parameters are
Sample size = 20
There are 6 sections that are less than 7
This means that the probability is
P = 6/20
Evaluate
P = 0.30
Hence, the probability that number less than 7 is rolled is 0.30
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Please help I’ll give brainliest
Answer:
2 is the base
Step-by-step explanation:
2^12
The 2 is the base and the 12 is the exponent
I know it's not a lot of points but yeah :(
Answer:
2) A, 3) Shawn is looking for a good book, he reads 12 books and then decides to read 1/4 of the amount he already read. How many books has Shawn read in total? 4) A, C, E. 5) 4
Step-by-step explanation:
2) Elena already walked 12 miles, she then walks another 1/4 of those 12 miles. The answer is A.
3) Shawn is looking for a good book, he reads 12 books and then decides to read 1/4 of the amount he already read. How many books has Shawn read in total?
4) to find the answers figure out how much they multiply one number by and multiply the other number by that amount. For example, the ratio 2:5 can be the same as 4:10 because you are multiplying the original ratio by 2 to get the new ratio.
5) The diameter of a circle is the length of one side to another. to find the length of the outer edge you need to find the circumference. To find the circumference of a circle you must use \(\pi\)*Diameter. To find the answer we must use 180/\(\pi\)D. Since pi can not be defined we will use 3.14 as a rough estimation. 3.14*12=37.68. 180/37.68=4.777070064. Since it doesn't make much sense to do .8 of a invitation then we must round down. The answer is 4.