[tex]\cfrac{34}{x}=\cfrac{x}{60}\implies 2040=x^2\implies \sqrt{2040}=x\implies \sqrt{2^2\cdot 510}=x\implies 2\sqrt{510}=x[/tex]
The solution is Option A.
The geometric mean of the two numbers 34 and 60 is A = 2√510
What is Geometric Mean?The geometric mean is given by the root of the product of the two numbers
Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values
Let the two numbers be a and b
The geometric mean between a and b is A = √ab
Given data ,
Let the equation be represented as A
Now , the value of A = geometric mean between the numbers
Let the first number be a
The value of a = 34
Let the second number be b
The value of b = 60
Now , the geometric mean between 34 and 60 is
A = √first number x second number
Substituting the values in the equation , we get
A = √34 x 60
A = √2040
A = √ ( 4 x 510 )
A = 2√510
Therefore , the value of A is 2√510
Hence , the geometric mean is 2√510
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For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.
56,18
Answer:
74
Step-by-step explanation:
(74)-18=56
74 subtracted from 18 gives 56
FIND THE MISSING NUMBER
?
9 6
247
1352
Answer:
7 Po Pa Brainlest nalang po
Find the greatest common factor of 10m2 and 4m4.
Answer:
The greatest common factor of 10m2 and 4m4 is:
2
Step-by-step explanation:
Neva writes the following in her math notebook.
A right rectangular prisum has 6 rectangular faces.
I disagree with Neva's conclusion about the rectangular prism
How to determine the true statement?The complete question is added as an attachment
From the question, we have the following statements:
The points where the faces of a rectangular prism meet are called the vertex
Truly, a rectangular prism has 6 faces.
However, the vertices in the rectangular prism is just 8
Hence, I disagree with Neva's conclusion about the rectangular prism
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The table shows pricing information for two pizzas. How many toppings would
number 13 only
The number of toppings where the cost of each pizza would be equal is 5.
How many toppings would make the pizza equal?The first step is to formulate an equation that represents the cost of each type of pizza.
Total cost = price of cheese pizza + (price per topping x number of toppings)
Cost of pizza A = $10 + $1.50t
Cost of pizza B = $12.50 + t
When the cost of both pizzas are equal, the above equations would be equal to each other.
$10 + $1.50t = $12.50 + t
To determine the value of t, take the following steps:
Combine similar terms: 1.50t - t = $12.50 - $10
Add similar terms = 0.50t = 2,50
Divide both sides by 0.50 = t = 2.50 / 0.50
t = 5
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f(x) =|x| y-axis 3 units right
Answer:
f(x)/y = |x - 3| y
Step-by-step explanation:
Un ganadero tiene tiempo suficiente para alimentar 220 vacas durante 45 días. ¿cuántos días podrá alimentar con la misma cantidad de tiempo a 450 vacas?
Answer:
112.5
Step-by-step explanation:
450(45/220) = 450/4 = 112.5
Find TJ if HJ=2.8
A-4.2
B-2.8
C-1.4
D-0.93
Determine ratio of A to B. Round as indicated.
A = 24.7% is the divorce rate in City A
B = 28.7% is the divorce rate in City B
(Round to the nearest hundredth when necessary.)
Select one:
O a. 0.09
O b. 8.61
OC. 0.86
O d. 1.16
Answer:
C
Step-by-step explanation:
Khadija bought 8 chicken wings for $10.40. If Khadija spent $3.90, how many chicken wings did she buy?
Answer:
she bought 3 chicken wings
Step-by-step explanation:
8c = 10.4 --> where c is the cost of a chicken wing
c = 10.4 divided by 8
= 1.3
xc = 3.9 (x = number of chicken wings)
1.3x = 3.9
x = 3.9 divided by 1.3
which is 3
Write each equation in slope-intercept form. 1 Write the equation of the line perpendicular to yx that passes through the point (3,-8).
Answer:
The line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).
Step-by-step explanation:
It is given that a line perpendicular to YX passes through the point (3,-8).
Now,
The slope of the line perpendicular to the line YX is 1.
=> y = x
So, Slope = 1
Furthermore, the slope of the required line can be written as -1.
So, the required line can be written in slope-intercept form as;
=> y = − x + c
It is further given that the line passes through the point (3,2);
So, after putting all the value in the above-mentioned equation, we get;
=> 2 = − 3 + c
=> c = 5
So, x + y = 5
Therefore, the line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).
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The line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).
In elementary geometry, two geometric objects are perpendicular if they intersect at a right angle. The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂. It can be defined between two lines, between a line and a plane, and between two planes.
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
It is given that a line perpendicular to YX passes through the point (3,-8).
Now,
The slope of the line perpendicular to the line YX is 1.
=> y = x
So, Slope = 1
Further more, the slope of the required line can be written as -1.
So, the required line can be written in slope-intercept form as;
=> y = − x + c
It is further given that the line passes through the point (3,2);
So, after putting all the value in the above-mentioned equation, we get;
=> 2 = − 3 + c
=> c = 5
So, x + y = 5
Therefore, the line perpendicular to YX that passes through the point (3,-8) is (y = − x + 5).
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Jane is buying cupcakes for a class party. The cupcakes come in packages of 6, and the store only has 10 packages out for purchase. She needs at least 5 packages to make sure all her students will receive a cupcake. What is the practical domain of the function?
Responses
All real numbers
All integers from 5 to 10 inclusive
All real numbers from 5 to 10 inclusive
All integers from 6 to 10 inclusive
{30, 36, 42, 48, 54, 60}
You should take this down. Or redo your user name.
Bill Murray has 16 3/4 days of vacation per year. To date, he has taken 1 3/4 days in January, 4 2/3 days in February, and 2 1/6 days in March. How much more vacation time is Bill entitled to?
Step-by-step explanation:
16 3/4 days in total.
that are (16×4 + 3)/4 = 67/4 days.
he has taken
1 3/4 = (1×4 + 3)/4 = 7/4 days
4 2/3 = (4×3 + 2)/3 = 14/3 days
2 1/6 = (2×6 + 1) = 13/6 days
to be able to add abd subtract them directly, we need to bring all fractions to the same denominator.
we have 3, 4, 6 : the smallest common multiple is 12 (can be divided without remainder by 3, 4 and 6).
we need to multiply each fraction by a fitting n/n factor to bring the denominators to 12 and keep the overall value of the fraction unchanged.
67/4 = 67/4 × 3/3 = 201/12
7/4 = 7/4 × 3/3 = 21/12
14/3 = 14/3 × 4/4 = 56/12
13/6 = 13/6 × 2/2 = 26/12
the remaining vacation time is
201/12 - 21/12 - 56/12 - 26/12 = 98/12 = 49/6
49/6 = 8 and remainder 1 = (8×6 + 1)/6 = 8 1/6 days
The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=2 and a root of multiplicity 1 at x=-5. The y-intercept is y=-6
Find the formula for p(x)
P(x)=
the formula for the polynomial is:
p(x) = (-3/10)*(x - 2)^2*(x + 5)
How to find the formula for p(x)?Here we have a polynomial with the following roots:
x = 2, with a multiplicity of 2.x = -5 with a multiplicity of 1.So, if we define A as the leading coefficient, we can write the polynomial as:
p(x) = A*(x - 2)^2*(x + 5)
We know that the y-intercept is -6, so evaluating in x = 0 we should get:
p(0) = -6 = A*(0 - 2)^2*(0 + 5) = A*4*5 = A*20
-6/20 = A = -3/10
Then the formula for the polynomial is:
p(x) = (-3/10)*(x - 2)^2*(x + 5).
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Write the function (x−6)2=81 in standard form.
Answer:
2x = 93
Step-by-step explanation:
(x - 6)2 = 81
2x - 12 = 81
+12 +12
------------------
2x = 93
÷2 ÷2
----------------
x = (93/2)
I hope this helps!
Select the right answers:
f(x) = x2 + 1 g(x) = 5 – x
(f + g)(x) =
Answer:
3rd choice
Step-by-step explanation:
f(x) = x^2 + 1
g(x) = 5 – x
(f + g)(x) = (x^2 + 1 ) + (5 – x)
x^2 + 1 + 5 x^2
x^2 - x + 6
If the parent function f(x) = |x| is transformed to g(x) = |x + 5|, what transformation occurs from f(x) to g(x)?
The transformation that occurs from f(x) to g(x) is the graph of f(x) is shifted to the left to create g(x).
What transformation occurs from f(x) to g(x)?The equations of the functions are given as
f(x) = |x|
g(x) = |x + 3|
The above implies that
g(x) = f(x + 3)
When a function is shifted to the left by h units, it is represented as
g(x) = f(x + h)
This means that
h = 3
So, the transformation that occurs from f(x) to g(x) is the graph of f(x) is shifted to the left to create g(x).
Hence, the required transformation that occurs from f(x) to g(x) is the graph of f(x) is shifted to the left to create g(x).
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Two inequalities are graphed on the same coordinate plane. Which region represents the solution to the system of two inequalities?
The region that represents the solution to the system of two inequalities would be Region A.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Since x≥0 and y≥0 at every point in the shaded region in the first quadrant represent a solution of the given system of inequalities
Since, the system of two inequalities are strict then in graph lines drawn is dotted line as point on line does not includes in the inequality.
The region that represents the solution to the system of two inequalities would be Region A; because the shaded regions are not required.
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I need Help!!!
The graph of f(x) is given below. Select all of the true statements about the continuity of f(x) at x=−3.
The true statement about the continuity of f(x) at x=−3 is (c) lim x -> -3 f(x) ≠ f(-3)
How to determine the true statements about the continuity of f(x) at x=−3?The graph represents the given parameter
On the graph, there is an open circle at x = -3
This means that there is a removable discontinuity at x = -3
A removable discontinuity at x = -3 implies that
lim x -> a at f(x) exists
However,
lim x -> a at f(x) does not equal lim x -> a at f(a)
Hence, the true statement about the continuity of f(x) at x=−3 is (c) lim x -> -3 f(x) ≠ f(-3)
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12. A bus on a regular schedule takes 3 14 hour
express?
O A. 34 hours
O B. 1 14 hours
O C. 2 hours
O D. 534 hour
Answer:
3 1/4 hours = 3 + 1/4 = 3 + 0.25 = 3.25. 2 1/2 hours = 2 + 1/2 = 2.5. To find out how much travel time can be saved by taking the express, simply subtract its travel time (which is shorter) from the regular's one. So 3.25 - 2.5 = 0.75 or 3/4.
so the answer is a
how do I write in slope-intercept form the points (-3, 0); slope=2/3
The equation of line can be written as, y = 2/3x + 2
Given,
The points, (x, y) = (-3, 0)
Slope = 2/3
Equation of a line, y = mx + c
Where, m is the slope and c is the y-intercept.
Here, m is 2/3.
The point at the x-intercept has co-ordinates : (-3, 0)
Where, x is -3 and y is 0.
So, substitute the values in equation:
y = mx + c
0 = 2/3 × (-3) + c
0 = -2 + c
c = 2
Therefore, the equation of line will be:
y = 2/3x + 2.
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PLS HELP 50 POINTS!!!
A large downtown hotel consists of twenty-four levels. Any level above ground is referred to as a" floor". There are twenty-two floors and each floor corresponds to its number on the number line (2 is second floor, 3 is third floor, etc...) and two underground levels reserved for underground parking. The first level below ground level is Parking A, and the second level below ground level is labeled Parking B.
If each above ground level floor corresponds with its floor number on the number line, what number on the number line represents Parking A? [Type your answer as a number.]
Answer:
-1
Step-by-step explanation:
Assuming "ground level" is 0, then the one below it (parking level A) would be -1.
What is A-B-C PLEASE HURRYYY!!!
The scientific notation and standard form values of A-B-C are as follows:
A) 7.4 is 100 million times larger than 7.4 x 10⁻⁸
B) 10⁻⁸ is 100 million times smaller than 10.
C) The value 7.4 x 10⁻⁸ is 527 times smaller than 0.000039.
What is a scientific notation?We use scientific notation in writing large or small numbers by multiplying a number between 1 and 10 by a power of 10.
Data and Calculations:Scientific Standard
Notation Form
3.9 x 10⁻⁵ 0.000039
7.4 x 10⁻⁸ 0.000000074
7.4 is 100 million times larger than 7.4 x 10⁻⁸ because 7.4 x 10⁻⁸ = 0.000000074, showing that the decimal point is moved 8 places to the right to get 7.4. 8 zeros are 100 million.
Thus, scientific notations reduce the large numbers so that they are multiplied by the power 10, which may be positive or negative.
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Question Completion:Scientific Standard
Notation Form
0.000039
7.4 x 10⁻⁸
The highest naturally occurring recorded temperature on earth is 134
degrees Fahrenheit. The lowest naturally occurring recorded temperature on
earth is 129 degrees Fahrenheit below zero. What is the difference between
these two temperatures?
Which expression is equivalent to (18)2⋅(19)2
The expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2
How to determine which expression is equivalent to the given expression?The expression is given as
(18)2⋅(19)2
Rewrite the above expression properly
So, we have
(18)^2 * (19)^2
The factors in the above expression have the same exponent.
So, the expression can be rewritten as
(18 * 19)^2
Hence, the expression that is equivalent to the given expression where the expression is given as (18)2⋅(19)2 is (18 * 19)^2
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if the hypotenus of a right triangle is 6 m and one side is 4 m, what's the length of the other side
Answer:
[tex]\sqrt{20} \text{ or } 2\sqrt{5}[/tex]
Step-by-step explanation:
So in this question we want to use the Pythagorean Theorem which essentially gives us a relationship between the sides of a triangle and is as follows: [tex]a^2+b^2=c^2[/tex]
In this formula the "a" and "b" represent the base and the height and "c" represents the hypotenuse of the triangle
The order in which you assign "a" and "b" do not matter, so let's just say that: [tex]a=4\ \text{and}\ c=6[/tex]
Although it is important that you assign the hypotenuse to "c".
So plugging in known values we have the equation:
[tex]4^2 +b^2=6^2[/tex]
Square the values
[tex]16+b^2=36[/tex]
Subtract1 16 from both sides
[tex]b^2=20[/tex]
take the square root of both sides
[tex]b=\sqrt{20}[/tex]
This "b" represents our other side, which we did not initially know, so this is our answer :)
You can simplify this further by separating the radical into: [tex]\sqrt{20} = \sqrt{4} * \sqrt{5} = 2\sqrt{5}[/tex]
lots of points pls answer
The correct answer is D. the x- intercept of the given graph is (-1.75,0) and y - intercept is (0,3)
What is x - intercept and y - intercepts?
The x-intercept is the location where a line's graph crosses the x-axis.
The y-intercept is the location where a line's graph crosses the y-axis.
The shapes of these points are (x,0) and (0,y), respectively.
Utilize the fact that all x-intercepts have a y-value of zero and all y-intercepts have an x-value of zero to get the x- and y-intercepts algebraically. Set x=0 and find the equivalent y value to calculate the y -intercept. Set y=0 and then figure out the matching x value to discover the x -intercept.
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9 less than 18 times a number x
Answer: 18x- 9
Step-by-step explanation:
1.) Put the numbers in their correct lineup. 18 * x - 9
2. Add parentheses around 18 * x, secluding them away from the -9.
(18 * x) -9
3.) Remind yourself of PEMDAS (Parentheses, Exponents, Multiplication, Division, Add, and Subtract). In this equation, 18 * x are in parentheses().
(18 * x)
4.) Multiply 18 * x... Which equals 18x.
5. Equation should now look like : 18x - 9
6. You can't combine those two numbers because the coefficiant (The coefficiant is 18.) and the regular number (-9) are not equal.
8. Answer : 18x-9
All change The crew of the spaceship Valor has been allotted land equivalent to 2.25 x 106 for their settlement on the planet Yevov. They have dedicated an area that is equivalent to 900, 000 for farming Explain which unit of measurement-square inches, square ounces, or square feet-best describes these measurements. Be specific.
Answer: square feet
Step-by-step explanation:
2.25 x 10^6=
2.25 * 1,000,000=
225/100 * 1,000,000=
225*1,000,000/100=
225*10,000=2,250,000 ==> can't be square inches since a mile is 63,360 inches. This would mean that 2,250,000 is approximately 40 square miles which is small for a planet.
Square ounces is also a very small unit, so the only appropriate answer and the largest unit available is square feet.
Rewrite the expression without the negative exponent.
2x^−4
The value of expression without the negative exponent is,
⇒ 2/x⁴
What is Rule of exponent?
The rule of exponent is defined as;
aⁿ = 1/a⁻ⁿ
Now, The expression is given as;
2x⁻⁴
It can be rewrite as;
2x⁻⁴ = 2 / x⁴
Hence, The value of expression without the negative exponent is,
⇒ 2/x⁴
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