Answer:
The underline one is 40.
Missing numbers. 35, 40 45, 50, 55, 60, 65, 70.
Step-by-step explanation:
Add 5 rule
Answer:
5. The tens place.
6. 35, 40, 45, 50, 55, 60, 65.... (And so on)
Step-by-step explanation:
Hoped this helped.
A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3227 tickets overall. It has sold 158 more $20 tickets than $10 tickets. The total sales are $62,410. How many
tickets of each kind have been sold?
ILL GIVE BRAINLIEST
Answer:
\( \sqrt[16]{5 |2| } sdh\)
usmsks
Find an equation of the tangent line at the indicated point on the graph of the function.w = g(z) = 1 + square root of (6 - z), (z, w) = (5, 2)w = - (1/2)z + (9/2)w = (1/2)z - (9/2)w = (1/2)z + (9/2)w = - (1/2)z - (9/2)
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given details
\(\begin{gathered} w=g(z)=1+\sqrt{6-z} \\ (z,w)=(5,2) \end{gathered}\)STEP 2: Explain Tangent line
Tangent Lines:
The tangent line to a function f(x) is a line that touches the graph of the function at one specific point of tangency where it has the same slope as the function at that point.
If x = a is the point of tangency, the tangent line can be written in slope-intercept form as:
\(\begin{gathered} y=mx+b \\ where\text{ }m=f^{\prime}(a)\text{ }and\text{ }y|_{x=a}=f(a) \end{gathered}\)STEP 3: Find the tangent
We can first determine the slope of the tangent line by differentiating the function. Writing the function as:
\(g(z)=1+(6-z)^{\frac{1}{2}}\)We find the derivative using the chain rule:
\(\begin{gathered} \mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g' \\ =\frac{d}{dz}\left(1\right)+\frac{d}{dz}\left(\left(6-z\right)^{\frac{1}{2}}\right) \\ \frac{d}{dz}\left(1\right)=0,\frac{d}{dz}\left(\left(6-z\right)^{\frac{1}{2}}\right)=-\frac{1}{2\left(6-z\right)^{\frac{1}{2}}} \\ \\ =0-\frac{1}{2\left(6-z\right)^{\frac{1}{2}}} \\ =-\frac{1}{2\left(-z+6\right)^{\frac{1}{2}}} \\ \\ =-\frac{1}{2}(6-z)^{-\frac{1}{2}} \end{gathered}\)At the point of tangency, the slope is
\(\begin{gathered} g^{\prime}(5)=-\frac{1}{2}(6-5)^{-\frac{1}{2}} \\ g^{\prime}(5)=-\frac{1}{2} \end{gathered}\)We can begin to write the equation of the tangent line in slope-intercept form
\(w=-\frac{1}{2}z+b\)Substituting both coordinates of the point of tangency allows us to solve for the intercept:
\(\begin{gathered} 2=-\frac{1}{2}(5)+b \\ -\frac{1}{2}\left(5\right)+b=2 \\ -\frac{1}{2}\cdot \:5+b=2 \\ -\frac{5}{2}+b=2 \\ \frac{5}{2}+b+\frac{5}{2}=2+\frac{5}{2} \\ b=\frac{9}{2} \end{gathered}\)The complete equation of the tangent line at (5,2) is then
\(w=-\frac{1}{2}z+(\frac{9}{2})\)michael can bike 2 miles in 12 minutes how long will it take him to bike 7 miles
42 minutes for 7 miles
Which graph represents the function?
the answer is the bottom left option
I need help with number 9 please thank you
Answer:
B:
Step-by-step explanation:
A pool is filled (which signifies the increase) a little time later (still full, flat line) it is emptied (the decrease) and then refilled (increase)
Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of 500,000; 1,000,000; 5,000,000; 10,000,000; and 100,000,000. (Round your answers to five decimal places.)
Answer with explanation:
Given: The population proportion: p = 0.46
Standard error = \(\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}\) , where n= sample size.
a) n= 500,000
\(\sigma_p=\sqrt{\dfrac{0.46(1-0.46)}{500000}}\)
\(=\sqrt{\frac{0.46\times 0.54}{500000}}=\sqrt{0.0000004968}\approx0.00070\)
b) n= 1,000,000
\(\sigma_p=\sqrt{\dfrac{0.46(1-0.46)}{1000000}}\)
\(=\sqrt{\frac{0.46\times 0.54}{1000000}}=\sqrt{0.0000002484}\approx0.00050\)
c) n= 5,000,000
\(\sigma_p=\sqrt{\dfrac{0.46(1-0.46)}{5000000}}\)
\(=\sqrt{\frac{0.46\times 0.54}{5000000}}=\sqrt{0.00000004968}\approx0.00022\)
d) n= 10,000,000
\(\sigma_p=\sqrt{\dfrac{0.46(1-0.46)}{10000000}}\)
\(=\sqrt{\frac{0.46\times 0.54}{10000000}}=\sqrt{0.00000002484}\approx0.00016\)
e) n= 100,000,000
\(\sigma_p=\sqrt{\dfrac{0.46(1-0.46)}{100000000}}=\sqrt{0.000000002484}\approx0.00004\)
\(=\sqrt{\frac{0.46\times 0.54}{500000}}=\sqrt{0.0000004968}\approx0.00070\)
Complete the ordered pair so it is a solution of 3x+2y=36. (6, )
Answer:
9
Step-by-step explanation:
Plug in 6 to x, since this is the x-value in the ordered pair.
\(3(6)+2y=36\\18+2y=36\\2y=18\\y=9\)
Answer:
(6, 9)
Step-by-step explanation:
3x + 2y = 36
Substitute 6 into the equation to get the output.
3(6) + 2y = 36
Multiply 3 and 6.
18 + 2y = 36
Subtract 18 from both sides.
2y = 18
Divide both sides by 2.
y = 9
The ordered pair when x = 6 is
(6, 9)
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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PLEASE HELP!!!
A cylinder has a height of 15 inches. A similar cylinder has a height of 20 inches.
What is the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder?
Enter your answer by filling in the boxes.
The ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is 4:3, or 4/3.
How do you find the ratio of the surface area of the larger cylinder to the the smaller cylinder?To find the ratio of the surface areas of the two similar cylinders, we need to consider the ratio of their corresponding dimensions. Since the two cylinders are similar, their radii are proportional to their heights. Let's denote the height of the smaller cylinder as h1, the height of the larger cylinder as h2, the radius of the smaller cylinder as r1, and the radius of the larger cylinder as r2.
Given:
h1 = 15 inches
h2 = 20 inches
The ratio of the heights is:
h2 / h1 = 20 / 15 = 4 / 3
Since the cylinders are similar, the ratio of their radii is the same as the ratio of their heights:
r2 / r1 = 4 / 3
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present ages of two children are 2 and 5 years the rspectively. After how long will the sum of their square ages be 45.
Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.
Calculating the duration to get the sum to 45Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.
Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;
let x represent the number of years from now when the sum of square of their respective age will be
45.(x + 2)² + (x + 5)² = 45
Expanding the brackets;
x² + 4x + 4 + x² + 10x + 25 = 45
2x² + 14x + 29 = 45
2x² + 14x + 29 - 45 = 0
2x² + 14x - 16 = 0
Solving the quadratic equation for x;
x = 1, x = -8
Taking the positive value, the value of x is 1
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URGENT!!!!!
suppose a square garden represented by 16x^2 ft^2
a. what is the length of each side?
b. What is the perimeter of the garden?
c.If each side was increased by 5 feet what would be the new perimeter?
Answer:
a 4x
b 16x
c. 16x +20
Step-by-step explanation:
Area of square = (lenght of 1 side)^2
\( = \sqrt{16 {x}^{2} } = 4x\)
4x = length of 1 side
b/
P = 4 length = 16x
c/each side length = 4x +5
New P = 4 (4x+5)
= 16x + 20
will increase by 20
If 3 is added to the absolute value of the product of a number and –9, the result is 4.
Answer:
± (1 ÷ 9)
Step-by-step explanation:
Data provided in the question
Since 3 is added to the absolute value and -9
The result is 4
Now this information should be transformed in a mathematical equation
Let us assume be x so the product of the number and -9 be -9x
Fo rthe absolute value we use the mode. Thus the required expression is:
3 + |-9x|
Given that the result is 4
So, it would be
3 + |-9x| = 4
Now Solving the above equation which is given below:
|-9x| = 4-3
|-9x| = 1
here we will remove the mode by introducing ± sign which is shown below:
-9x = ± 1
-9x = 1 or -9x = -1
x = -1/9
or
x = \(\frac{1}{9}\)
Therefore, the value of x is ± (1 ÷ 9).
2x - 7 + 3x = 4x + 2 need help with this one
Answer:
x = 9
Step-by-step explanation:
To solve the equation 2x - 7 + 3x = 4x + 2 for x, you can follow these steps:
Combine like terms on both sides of the equation. Add the x terms together and move the constant terms to one side of the equation:
2x + 3x - 4x = 2 + 7
Simplifying the left side: x = 9
Simplify the right side of the equation:
x = 9
Therefore, the solution to the equation is x = 9.
HELP: Will Award Brainliest! Simplify 17x - 12 = 114 + 3x
Answer:
x=9
Step-by-step explanation:
17x - 12 = 114 + 3x
First Subtract 3x from both sides
14x - 12 = 114
Add 12 to both sides
14x=126
Divide by GCF (14)
x=9
Hope this helps! Plz award Brainliest : )
Answer:
17x - 12 = 114 + 3x
-3x +12 +12 -3x
Step-by-step explanation:
14x = 126
14/14 = 126/14 = 9
x = 9
Calculate the acceleration of a moving object, given that the object is 500 g and has a a force of 6.5 n
Hello!
\(\large\boxed{a = 13m/s^{2}}\)
Use the equation F = m · a to solve where:
F = total force (N)
m = mass (kg)
a = acceleration (m/s²)
We are given the force and mass, so we can plug these values into the equation to solve.
However, mass is used in kilograms, so we must convert from grams to kilograms:
1 kg = 1000 grams
Convert using dimensional analysis or proportions:
\(500 g* \frac{1 kg}{1000g} = 0.5kg\)
Plug in the force and mass to solve:
6.5 = 0.5(a)
Divide both sides by 0.5 (Multiply by 2)
a = 13 m/s²
Answer:
OKOKOKOKOKO
Step-by-step explanation:
OKOKOKOKOKOKOKOKOOKOOKO
√-25/√9 please solve
Step-by-step explanation:
The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.
Let's break down the expression step by step:
√(-25) / √9
The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.
√(-1) is equal to "i," and the square root of 25 is 5.
So, the expression becomes:
i * 5 / √9
The square root of 9 is 3.
Now, we can simplify further:
i * 5 / 3
Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.
As a restaurant, you and four friends divide the bill evenly. Each person pays $7.35. How much is the total bill?
Answer:
29.4
Step-by-step explanation:
4(-8x+5)-(-33x-26)=\(4(-8x+5)-(-33x-26)=\)
Answer:
4(-8x+5) - (-33x-26)
-32x+20+33x-26
collect like terms
-32x+33x+20-26
=x-6
Step-by-step explanation:
x-6
Please look at photo. Thank you!
Polynomial and rational functions:
A) Find all x and y intercepts. Check all that apply:
X intercepts: 4, 0, 1, and/or none.
Y intercepts: 1, 4, 0 and/or none.
B) write the equations for all vertical and horizontal asymptotes. Enter the equations by writing “and” or “none” when necessary.
C) find the domain and range of f. Write each answer as an interval or union of intervals.
A) All x- and y-intercepts include the following:
x-intercepts: none.
y-intercept: 1.
B) The equation for vertical asymptote is x = 4 and the equation for horizontal asymptote is y = 0.
C) The domain and range of f are:
Domain = [-∞, 4) U [4, ∞]
Range = [0, ∞]
What is the x-intercept?In Mathematics, the x-intercept is the point at which the graph of a function crosses or touches the x-coordinate and the y-value or value of "y" is equal to zero (0).
Part A.
Based on the graph of this rational function, the x-intercept and y-intercept include the following:
x-intercept: none.
y-intercept: 1.
Part B.
An equation that represents the vertical asymptote is x = 4 while the equation represents the horizontal asymptote is y = 0 because the line does not cross those points.
Part C.
By critically observing the graph of this rational function, we can logically deduce the following domain and range:
Domain = [-∞, 4) U [4, ∞] or {x|x ≠ 4}.
Range = [0, ∞] or {y|y ≥ 0}.
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FOR 20 POINTS!!!
(Look at picture)
Answer:
Kenyon could make a total of 7 bouquets.
Step-by-step explanation:
To find the greatest number of bouquets we need to find GCF.
We need to find GCF for 21 and 28.
The factors of 21 are: 1,3,7, and 21.
The factors of 28 are: 1,2,4,7,14, and 28
1 and 7 are the common factors between 21 and 28.
From the factors, the greatest common factor is 7.
Help pls I really need help
The functions for this problem are classified as follows:
a) q(x) is an odd function.
b) r(x) is an even function.
What are even and odd functions?In even functions, we have that the statement f(x) = f(-x) is true for all values of x. -> meaning that r(x) is an even function.In odd functions, we have that the statement f(-x) = -f(x) is true for all values of x. 0> meaning that q(x) is an odd function.If none of the above statements are true for all values of x, the function is neither even nor odd.More can be learned about odd and even functions at https://brainly.com/question/2284364
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82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is m<2.
Answer:
32
Step-by-step explanation:
because it 's a antiparallelogram so 3=2, 1=32
help!!!
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Determine each segment length in right triangle ABC
The segment lengths are given as follows:
BD = 7.BC = \(7\sqrt{2}\)What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.Considering the geometric mean theorem, the triangle has bases of 7 and 14 - 7 = 7, hence the altitude BD is given as follows:
BD² = 7 x 7
BD² = 7²
BD = 7.
The segment BC is the hypotenuse of a right triangle of two sides with length 7, hence:
(BC)² = 7² + 7²
\(BC = \sqrt{2 \times 49}\)
\(BC = 7\sqrt{2}\)
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caculate the following multiplication
\(67 \times 12\)
Answer:
804
Step-by-step explanation:
Just use a calculator.
6 litres of pink paint can be made by mixing 1.5 litres of red paint with the correct amount of white paint.How much white paint is needed
Answer: 4.5 litres
Step-by-step explanation:
If 1.5 liters of red paint is mixed with white paint to make 6 liters of pink paint, then the ratio of red paint to the total mixture is 1.5/6 = 0.25.
Since the pink paint is made by mixing red paint with white paint, the ratio of white paint to the total mixture is 1 - 0.25 = 0.75.
Therefore, to find the amount of white paint needed, we can set up the following proportion:
1.5/0.25 = x/0.75
Solving for x, we get:
x = 0.75 * 1.5 / 0.25 = 4.5
So, 4.5 liters of white paint is needed to make 6 liters of pink paint.
Hi!
If 6 liters were to be made, and 1.5 liters of red is needed, then we would subtract 1.5 from 6 to get your final answer
6 - 1.5 = 4.5.
So, 4.5 liters of white will be needed to make 6 liters of paint.
Hope this helps!
~~~PicklePoppers~~~
which is more, 6 miles or 31,678 feet ?
Answer: 6miles
Step-by-step explanation: 6miles = 31680ft so 31680>31678
The perimeter of a triangular garden is 60 feet. Find the length of the three sides of the middle length side is 5 feet greater than twice the length of the smallest side, and the longest side is 5 feet less than 3 times the length of the smallest side.
The lengths of the three sides of the triangle are 10, 25 and 25 feet
What are perimeters?The perimeter of a shape is the sum of the side lengths of the shape
For all regular quadrilaterals, you add up the side lengths to determine the perimeter
How to determine the lengths of the three sides of the triangle?The given parameters about the triangles are given as
Perimeter = 60 feet
Middle length = 5 feet greater than twice the smallest side
Longest side= 5 feet less than 3 times the smallest side.
Represent the lengths with x, y and z
So, we have
y = 5 + 2x
z = 3x - 5
The perimeter is the sum of the side lengths
So, we have
P = x + y + z
This gives
P = x + 5 + 2x + 3x - 5
Evaluate the like terms
P = 6x
Recall that
Perimeter = 60 feet
So, we have
6x = 60
Divide by 6
x = 10
Recall that
y = 5 + 2x
z = 3x - 5
So, we have
y = 5 + 2 x 10 = 25
z = 3 x 10 - 5 = 25
Hence, the lengths of the three sides of the triangle are 10, 25 and 25 feet
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Which unit of measure would you typically use to find the height of a bottle?
A. ounces
B. centimeters
C. milliliters
D. kilograms
If f(x)=x squared-2x and g(x) = 6x+4 for which is a value of x does (f+g)(x) =0
Answer:
For \(x = -2\)
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
\(ax^{2} + bx + c, a\neq0\).
This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:
\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)
\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)
\(\Delta = b^{2} - 4ac\)
In this question:
\(f(x) = x^2 - 2x\)
\(g(x) = 6x + 4\)
\(f(x) + g(x) = (f+g)(x) = x^2 - 2x + 6x + 4 = x^2 + 4x + 4\)
Which is a value of x does (f+g)(x) =0
\(x^2 + 4x + 4\)
Quadratic equation with \(a = 1, b = 4, c = 4\)
So
\(\Delta = 4^{2} - 4*1*4 = 0\)
\(x_{1} = \frac{-4 + \sqrt{0}}{2} = -2\)
\(x_{2} = \frac{-4 - \sqrt{0}}{2} = -2\)
For \(x = -2\)