For the function f(x) = x2, what effect will multiplying f(x) by 1/2 have on the graph?
A bunch bowl is in the shape of a hemisphere. The top rim has a circumference of 116cm.
A) determine the volume of the punch bowl to the nearest cubic centimeter.
B) If there are 1,000 cubic centimeters in a liter and 3.785 liters in a gallon, determine, to the nearest tenth of a gallon, how much punch can fit in the bowl.
Write the equation of a horizontal line that passes through the point (3, -3).
After a 40% discount an item costs $360. what is the original cost
Answer:
It is $600
Step-by-step explanation:
hope it helps, murdle
After creating a new email address, Gareth initially receives n emails per year. The number of emails received increases by 7% each year after that. The following expression represents the number of emails received after x years.
x(1 + 0.07)^x
Which of the following best represents the expression?
the product of the number of emails received initially and one plus the factor of increase raised to the number of years that the amount of emails Gareth received has increased
the product of the number of emails received initially and the factor of decrease raised to a period of x years
the product of the number of emails received initially and one plus the factor of decrease raised to the number of years that the amount of emails Gareth received has increased
the product of the number of emails received initially and the factor of increase raised to a period of x years
Answer:
The correct answer is Option A.
Step-by-step explanation:
Julio considers the reduction of the triangle.
What is the correct cross product that he should use to solve for the missing dimension?
(8)(12) = 21x
(8)(21) = 12x
(12)(8) = 12x
(12)(21) = 8x
Answer:
(12)(21) = 8x or d
Step-by-step explanation:
The solution to 15 a2 − 1 = 5 2a − 2 is a = . The extraneous solution is a = .
Answer:
5 and 1
1 is extraneous
Step-by-step explanation:
What is the focus of the parabola? [tex]y= \frac{1}{4} x^{2} -x+3[/tex]
Enter your answer in the boxes.
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What is the radius of convergence of the maclaurin series (2x)/(1+x^2)?
The radius of convergence of the maclaurin series is 1 unit.
It is given that maclaurin series [tex]\rm \frac{2x}{(1+x^2)}[/tex]
It is required to find the radius of the convergence of the maclaurin series.
What is maclaurin series?It is defined as the expansion of a function that provide the approximation of the given function at any point of function.
We have:
[tex]\rm \frac{2x}{(1+x^2)}[/tex]
To find the radius of convergence of the maclaurin series, we must find the roots of denominator hence:
[tex]\rm 1+x^2= 0\\\\\rm x^2 = -1\\\\[/tex]
From the complex number: the roots are imaginary:
[tex]\rm x_1 = i\\x_2 = -i[/tex]
i is the iota
and the distance from the origin (0,0) is 1.
Thus, the radius of convergence of the maclaurin series is 1 unit.
Learn more about the maclaurin series:
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What is -2(3x+12y-5-17x-16y+4) simplified?
-40x+8y+2
28x+8y+2
28x+6y+2
-28x-8y+2
A simplified expression involves rewriting an expression in a simpler form
The simplified expression is: 28x+8y+2
The expression is given as:
-2(3x+12y-5-17x-16y+4)
Collect like terms
-2(3x-17x+12y-16y-5+4)
Evaluate the like terms
-2(-14x-4y-1)
Open the bracket
28x+8y+2
Hence, the simplified expression is: 28x+8y+2
Read more about expressions at:
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O'Farrell offers 2 different after school clubs. The Ukulele club has 30 students and attendance is increasing by 6 students per month. MESA has 45 students and attendance is increasing by 3 students per month. After how many months will there be the same number of students in each club?
y=-6x^2+100x-180
x=selling price of each soccer ball
y=daily profit from soccer balls
The vertex is located at (8.33, 236.67). What does this point represent in context?
Refer the below solution for better understanding.
Step-by-step explanation:
Given :
[tex]y = -6x^2+100x-180[/tex]
where,
x = selling price of each soccer ball.
y = daily profit from soccer balls.
Solution :
The vertex shows the maximum value of y and x.
y = 236.67 shows the maximum daily profit and this happens when selling price of each soccer ball is x = 8.33.
Refer the below graph for better understanding.
For more information, refer the link given below
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through how many radians does the minute hand of a clock turn in three hours?
•3π
•6π
•9π
Use the grouping method to factor the polynomial below completely.
x3 – 4x2 + 3x – 12
A. (x2 + 4)(x – 3)
B. (x2 – 4)(x + 3)
C. (x2 – 3)(x + 4)
D. (x2 + 3)(x – 4)
Find the approximate surface-area-to-volume ratio of the Moon. The radius of the Moon is 1,080 miles. A. 0.0009 B. 0.0028 C. 360 D. 3,240
A quilt is in the shape of a regular pentagon. It is made from 5 pieces of fabric that are congruent triangles. Each triangle has an area of 16 inches.What is the area of the quilt?
Final answer:
The area of the quilt, which is a regular pentagon made from five congruent triangles, is 80 square inches, determined by multiplying the area of one triangle (16 inches) by five.
Explanation:
The area of the quilt which is in the shape of a regular pentagon can be determined by calculating the area of the five congruent triangles that make up the pentagon. Since each triangle has an area of 16 inches, we can find the total area by simply multiplying the area of one triangle by the number of triangles.
To calculate the total area of the quilt:
First, determine the area of one triangle, which is given as 16 inches.Next, since there are five congruent triangles in the pentagon, multiply the area of one triangle by 5.The total area of the quilt would be 16 inches (per triangle) × 5 triangles = 80 inches.Therefore, the total area of the quilt is 80 square inches.
Please help me with 8, 9, and 10 thanks! Show work too
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How to calculate 95th percentile from mean and standard deviation of an exponential distribution?
The qthqth quantile of a random variable XX is the value xx such that
Pr[X≤x]=q.Pr[X≤x]=q.So in your case q=0.25q=0.25, and0.25=Pr[X≤x]=FX(x)=1−e−x/β.0.25=Pr[X≤x]=FX(x)=1−e−x/β.This gives us e−x/4=0.75e−x/4=0.75, orx=−4log0.75≈1.15073.x=−4log0.75≈1.15073.This assumes that the parametrization of the exponential distribution is by scale; i.e., if β=4β=4 this means E[X]=β=4E[X]=β=4, rather than by rate--in which case E[X]=1/β=1/4E[X]=1/β=1/4.How would I find the diameter?
A function has a constant halving time. What type of function does this represent?
A. Decreasing linear
B. Exponential decay
C. Exponential growth
D. Increasing linear
Answer:
b
Step-by-step explanation:
Help Please
A survey was taken of 36 people to see if they owned a car and/or a truck. The results are shown in the Venn diagram.
Enter your answers in the boxes to complete the two-way table based on the given data.
First picture is how they want you to put the answers in & the second one is the grid with the numbers
Tom caught 4 fish and his son caught 12 fish.The number of fish that Tom caught was what percent of the total number of fish?
How much does the school have to charge for each candy bar to make a profit of 10 dollars per box?
2. How many real number solutions are there to the equation 0 = –3x² + x – 4? (1 point)
Final answer:
The equation has no real number solutions.
Explanation:
To find the number of real number solutions to the equation 0 = –3x² + x – 4, we can use the discriminant of the quadratic equation. The discriminant is calculated as b² - 4ac, where a, b, and c are coefficients of the equation in the form ax² + bx + c = 0. If the discriminant is positive, the equation has two distinct real solutions. If the discriminant is zero, the equation has one real solution. And if the discriminant is negative, the equation has no real solutions.
In this case, a = -3, b = 1, and c = -4. Let's calculate the discriminant:
b² - 4ac = (1)² - 4(-3)(-4) = 1 - 48 = -47
Since the discriminant is negative, the equation 0 = –3x² + x – 4 has no real number solutions.
The square root of 53 lies between which two numbers?
A. (-3,-5)
B.( -2,-2)
C. (4,9)
D.(13,5)
What’s the answer for this question:)
What is the surface area of a conical grain storage tank that has a height of 43 meters and a diameter of 14 meters? Round the answer to the nearest square meter.
A. 1,100 square meters
B. 1,112 square meters
C. 2,507 square meters
D. 2,605 square meters
If and represent rational expressions and b0 and y0, what is true of their product? Check all that apply.
Correct options are Options B, D, E. The product of two rational expressions (a/b) and (x/y) is a rational expression, specifically the ratio of ax and by, or equivalently ax/by. Incorrect options include ay/bx and a/y(x/b).
To determine the product of two rational expressions (a/b) and (x/y), where b ≠ 0 and y ≠ 0, let's explore the given options. Here are the truths about the product:
The product is a rational expression: When you multiply two rational expressions, the result is also a rational expression. This follows from the definition of rational expressions, which are ratios of polynomials.
The product is the ratio of ax and by: Mathematically, multiplying the numerators and denominators of the two rational expressions gives us (ax)/(by).
The product is equivalent to ax/by: This restates the above ratio in a simplified expression form, confirming that the multiplication results in (ax)/(by).
As we can see, the other expressions mentioned (ay/bx, a/y(x/b), a/(y(x/b))) are not correct representations of the product. Correct options are Options B, D, E.
Complete question:
If a/b and x/y represent rational expressions and b0 and y0, what is true of their product? Select three options.
A. The product is equivalent to ay/bx
B. The product is a rational expression.
C. The product is equivalent to a/y(x/b)
D. The product is the ratio of ax and by.
E. The product is equivalent to ax/b(y)
20 points!
Looking at circle O, ∠BOC is a(n)
Please contact your teacher immediately if you do not see the image.
Question options:
minor angle
central angle
inscribed angle
major angle