What is the geometric mean of 6 and 13?
What is the Geometric mean a 5 and 45?
Answer: [tex]\sqrt{78}[/tex] and [tex]15[/tex]
Step-by-step explanation:
Given: (1) two numbers [tex]6[/tex] and [tex]13[/tex].
(2) two numbers [tex]5[/tex] and [tex]45[/tex].
To Find: Geometric number of numbers in [tex](1)[/tex] and [tex](2)[/tex]
Solution:
Let first number be [tex]=\text{a}[/tex]
Let second number be [tex]=\text{b}[/tex]
Geometric mean of two numbers [tex]\text{a}[/tex] and [tex]\text{b}[/tex] is
[tex]\sqrt{\text{a}\text{b}}[/tex]
Now,
[tex](1)[/tex] First number is [tex]=6[/tex]
Second number is [tex]=13[/tex]
Geometric mean of both numbers is
[tex]\sqrt{6\times13}[/tex]
[tex]\sqrt{78}[/tex]
Geometric mean is [tex]\sqrt{78}[/tex]
[tex](2)[/tex] First number is [tex]=5[/tex]
Second number is [tex]=45[/tex]
Geometric mean of both numbers is
[tex]\sqrt{5\times45}[/tex]
[tex]\sqrt{225}[/tex]
[tex]15[/tex]
Geometric mean is [tex]15[/tex]
Julia is an intern at an architecture firm. She is given an assignment to create a bell-shaped structure that is symmetrical. She writes the function f(x)=3 squareroot -|x-2|+6 to model the structure. Find the piecewise function that matches this absolute value function. Then, graph the function using a graphing calculator and describe what you see.
Answer:
The given function is
f(x)= 3 [tex]\sqrt\left- |x \right-2 |+6[/tex] ⇒[Absolute value function]
F(x)= 1. 3[tex]\sqrt {-(x-2)+6}[/tex] =[tex]3\sqrt {-x+2+6}=3\sqrt{-x+8}[/tex] when (x-2≥0→x≥2) ⇒[ Piecewise function]
2. [tex]3\sqrt{-[-(x-2)]+6}=3\sqrt{x-2+6}=3\sqrt{x+4}[/tex] when [ x-2<0→x<2]⇒[ Piecewise function]
We see there is a shape which is is in the form of dome,point of intersection of two curves being (2,7.348), symmetrical on both side of line x=2.
Evaluate the expression 9p6
Answer:
60,480
Step-by-step explanation:
I got it correct on founders edtell
given the equation W=CE2/2, solve for C
Answer:
[tex]C=\frac{2W}{E^2}[/tex]
Step-by-step explanation:
[tex]W=\frac{CE^2}{2}[/tex]
Solve for C
To solve for C, we need to get C alone
LEts start with eliminating 2 from the denominator
Multiply the equation by 2 on both sides
[tex]2W= CE^2[/tex]
To isolate C, divide both sides by E^2
[tex]\frac{2W}{E^2} =C[/tex]
[tex]C=\frac{2W}{E^2}[/tex]
subtracting/adding mixed fractions
Gas costs $1.64 a gallon. Elaine spent $23.78 at the gas station.How many gallons of gas did she but?
Answer:
23.78
Step-by-step explanation:
Find direction numbers for the line of intersection of the planes x + y + z = 1 and x + z = 0. (enter your answers as a comma-separated list.)
Find the markup and the selling price of the following item. Round answers to the nearest cent. A chemistry set costing $38.50, marked up 32% on cost. Markup = ? Selling price = ?
Answer:
markup, 12.32
selling price, 50.82
Step-by-step explanation:
20 POINTS!!
a triangle has side lengths 20cm, 27cm, 21cm. is the triangle a right angle? show your work
John bought a house. He decided to reduce his square backyard by 40 inches along its width. The area of the new backyard is given by the function below, where z represents the length in inches.
A(z)=z^2-40z
Which statement best describes the term 40z?
* The area of the playground after expansion
* The width of the backyard
* The area of the backyard before reduction
* The area reduced from the backyard
Write the equation of the line that passes through (–2, 1) and is perpendicular to the line 3x – 2y = 5.
To find the equation of a line that is perpendicular to the line 3x - 2y = 5 and passes through the point (-2, 1), we determine that the slope of the perpendicular line must be -2/3. Using the point-slope form, the equation of the desired line is y = (-2/3)x - (1/3).
Finding the Equation of a Perpendicular Line
To write the equation of a line that is perpendicular to another line, you first need to determine the slope of the original line. The given equation, 3x - 2y = 5, can be rewritten in slope-intercept form (y = mx + b) by solving for y:
3x - 2y = 5
=> -2y = -3x + 5
=> y = (3/2)x - (5/2)
The slope (m) of this line is 3/2. Perpendicular lines have slopes that are negative reciprocals of each other. Thus, the slope of the line perpendicular to the original line is -2/3.
To find the equation of the line passing through the point (-2, 1) with this slope, use the point-slope form of the equation:
y - y1 = m(x - x1)
=> y - 1 = (-2/3)(x + 2)
Simplifying, we have:
y - 1 = (-2/3)x - (4/3)
=> y = (-2/3)x - (4/3) + 1
=> y = (-2/3)x -(1/3)
This is the equation of the line that passes through (-2, 1) and is perpendicular to the line 3x - 2y = 5.
Choose the correct classification of x6 + 3x3 by number of terms and by degree.
Third degree polynomial
Fourth degree trinomial
Third degree binomial
Sixth degree binomial
Use the empirical rule to solve the problem. ed's monthly phone bill is normally distributed with a mean of $65 and a standard deviation of $11. what percentage of his phone bills are more than $76?
Answer:
16% of his phone bills are more than $76
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 65
Standard deviation = 11
What percentage of his phone bills are more than $76?
76 = 65 + 11
So 76 is one standard deviation above the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% are more than 1 standard deviation from the mean. Since the normal probability distribution is symmetric, 16% of them are more than 1 standard deviation below the mean and 16% are more than 1 standard deviation above the mean. So
16% of his phone bills are more than $76
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. a pollster contacts 92 people in the 18-21 age bracket and finds that 78 of them respond and 14 refuse to respond. when 284 people in the 22-29 age bracket are contacted, 265 respond and 19 refuse to respond. assume that 1 of the 376 people is randomly selected. find the probability of getting someone in the 22-29 age bracket or someone who refused to respond.
Final answer:
The probability of selecting a person from the 22-29 age bracket or someone who refused to respond is approximately 79.3% out of the total number of people contacted.
Explanation:
The student is asking about finding the probability of selecting either a person from the 22-29 age bracket or someone who refused to respond from a combined group of people contacted in a survey. To solve this problem, we use the addition rule of probability. The total number of people is 376. The number of people who are in the 22-29 age bracket is 284, and the number of people who refused to respond is 14+19=33. However, this would include those who refused from the 22-29 bracket twice, so we subtract the 19 from the 22-29 age group who refused, leaving us with 33-19=14. Thus, the total number in either category is the sum of these, 284+14=298.
The probability (P) of picking someone from the 22-29 age bracket or someone who refused to respond is therefore calculated as:
P = Number in either category / Total number = 298 / 376 ≈ 0.793 or 79.3%
Sarah has grades of 98 and 98 on her first two test if she want to average at least 80 after her third test what must she make on that test
One drawer in a dresser contains 7 blue socks and 7 white socks. a second drawer contains 5 blue socks and 1 white socks. one sock is chosen from each drawer. what is the probability that they match? express the answer in decimals.
Does the following equation represent growth or decay? Y=10,000(0.97)x
Given is Y = 10000·(0.97)ˣ
This is an exponential equation whose general form is y = a·bˣ
where 'a' is the initial value and 'b' is the growth or decay factor.
If value of b is greater than 1, then it is growth of population.
If value of b is lesser than 1 but greater than 0, then it is decay of population.
On comparison of the given equation with its general form, we get a = 10000, b = 0.97
So initial value is 10000.
Since value of b is 0.97 i.e. lesser than 1, so it is decay of population.
Hence, the given equation represents "Decay".
Which statement about the population shown in this graph is true? A. The number of individuals will increase endlessly. B. The number of individuals will eventually drop to zero. C. The population has increased until it reached its carrying capacity. D. There are no limiting factors to control population growth.
When 2/3 of a number is added to 10 the result is 5 more than the number find the number g?
[tex]g-the\ number\\\\\dfrac{2}{3}g+10=g+5\qquad\text{multiply both sides by 3}\\\\2g+30=3g+15\qquad\text{subtract 30 from both sides}\\\\2g=3g-15\qquad\text{subtract 3g from both sides}\\\\-g=-15\qquad\text{change the signs}\\\\\boxed{g=15}[/tex]
Myron bought a dozen eggs for $1.75 per dozen. If he bought 8 dozen eggs, how much did they cost?]
Mr. Young has a section of his parking lot, measuring 10 yards by 12 yards, that needs to be repaved. The paving company told Mr. Young the workers complete square yards every hour. How long should it take to pave the parking lot?
A box has dimensions of 3 inches, 5 inches and 7 inches what is the surface area
Final answer:
The surface area of a box with dimensions of 3 inches by 5 inches by 7 inches is calculated using the formula 2lw + 2lh + 2wh, resulting in a total surface area of 142 square inches.
Explanation:
To calculate the surface area of a box with dimensions of 3 inches, 5 inches, and 7 inches, you would use the surface area formula for a rectangular prism. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism.
In this case:
Length (l) = 3 inches
Width (w) = 5 inches
Height (h) = 7 inches
Now, plug these dimensions into the formula:
Surface Area = 2(3 inches × 5 inches) + 2(3 inches × 7 inches) + 2(5 inches × 7 inches)
Surface Area = 2(15) + 2(21) + 2(35)
Surface Area = 30 + 42 + 70
Surface Area = 142 square inches
Therefore, the surface area of a box with dimensions of 3 inches by 5 inches by 7 inches is 142 square inches.
“Find the equation of the line passing through (8,-2) & (7,-4). Write your equation in point-slope AND slope intercept forms.
Point slope form using (8,-2) _____
Point slope form using (7,-4) _____
Slope intercept form: y=2x-18
Weight Gain after gaining 25 pounds, a person is 115 pounds lighter than double his previous weight. How much did the person weigh before gaining 25 pounds? How could I write this problem
Find the exact length of the curve.x = y48 + 14y2, 1 ≤ y ≤ 2
The exact length of the curve x = y^48 + 14y^2, for 1 ≤ y ≤ 2, can be found by differentiating x with respect to y, substituting into the formula for arc length, and solving the integral from y=1 to y=2.
Explanation:To solve this problem, we use the formula for the arc length of a curve given by a function in parametric form. This formula is L = ∫sqrt(1+(dx/dy)^2)dy, with integration done over the interval [1,2].
In this case, our function is given as x = y^48 + 14y^2. First, we differentiate x with respect to y to get dx/dy = 48y^47 + 28y. We then substitute this into the formula to get L = ∫sqrt(1+(48y^47 + 28y)^2)dy. To solve this integral, you can use a standard calculus method or a calculator with integral functions. Make sure to evaluate the definite integral from y=1 to y=2.
Learn more about Arc Length here:https://brainly.com/question/32035879
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(64-2^2)-(8+7)
answer please
PLEASE HELP BABES!!
How likely is it that you would pick the number 67 if you closed your eyes?
A) certain
B) impossible
C) probable
D) unlikely
You owe $976.34 on a credit card that has an interest rate of 10.75% APR. You pay $100.00 at the end of each month.
You place the $100.00 in a savings account that earns a 2.75% APR. What is the difference in interest between savings earned and credit card interest paid
answer: $8.52
The height of a rock thrown off a cliff can be modeled by h=-16t^2-8t+120, where h is the height in feet and t is time in seconds. How long does it take the rock to reach the ground?
If the cubic function P(x) includes the points (−4, 0), (0, 0), and (2, 0), which of the following represents this function?
The function cannot be determined with the given information.
Explanation:The given points (-4, 0), (0, 0), and (2, 0) indicate that the function is a cubic function with three real roots. A cubic function is of the form P(x) = ax^3 + bx^2 + cx + d. Since the function passes through the x-axis at (-4, 0), (0, 0), and (2, 0), the roots of the cubic function are -4, 0, and 2. Therefore, the function can be written as P(x) = a(x + 4)(x - 0)(x - 2). However, since a cubic function with three real roots has an odd degree, the coefficient 'a' must be negative or positive. This means that the function can also be written as P(x) = -a(x + 4)(x - 0)(x - 2) or P(x) = a(x + 4)(x - 0)(x - 2). So, the correct representation of the function cannot be determined with the given information.