Answers
Related Questions
Find the point that is two-thirds of the way from (3,4) to (9,-2)
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[tex]\bf \left. \qquad \right.\textit{internal division of a line segment} \\\\\\ A(3,4)\qquad B(9,-2)\qquad \qquad 2:1 \\\\\\ \cfrac{AC}{CB} = \cfrac{2}{1}\implies \cfrac{A}{B} = \cfrac{2}{1}\implies 1A=2B\implies 1(3,4)=2(9,-2)\\\\ -------------------------------\\\\ { C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\\ -------------------------------[/tex]
[tex]\bf C=\left(\cfrac{(1\cdot 3)+(2\cdot 9)}{2+1}\quad ,\quad \cfrac{(1\cdot 4)+(2\cdot -2)}{2+1}\right) \\\\\\ C=\left( \cfrac{3+18}{3}~~,~~\cfrac{4-4}{3} \right)\implies C=\left( 7~~,~~0 \right)[/tex]
A building is 443m and dropped a penny, how long will it take to reach the ground
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The answer to your question is 9 seconds
Hope this helps :))
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The XYZ company is seeing it's worth declining at a rate of 3.2% per year. If the current worth is 2,300,000, what will the value be in 5 years?
A.) about $1,954,810
B.) about$2,692,318
C.) about $1,932,000
D.) about $1,951,836
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2,300,000 - 3.2% of 2,300,000=2,300,000-73600=2,226,400
after two years the worth sill be:
2,226,400 - 3.2% of 2,226,400 =2,226,400 - 3.2/100*2,226,400 =2,226,400 -71244=2155156
after three years the worth will be:
2155156-3.2/100*2155156=2155156-68965=2086191
after four years the worth will be:
2086191-3.2/100*2086191=2086191-66758=2019433
after 5 years the worth will be:
2019433-3.2/100*2019433=2019433-64621=1954812
A)
about $1,954,810
Determine the intervals on which the function is increasing, decreasing, and constant.
Select one:
a. Increasing x < 0; Decreasing x > 0
b. Increasing x > 0; Decreasing x < 0
c. Increasing x < 3; Decreasing x > 3
d. Increasing x > 3; Decreasing x < 3
Answers
Answer:
b. Increasing x > 0; Decreasing x < 0
Step-by-step explanation:
We have been given graph of a function. We are asked to find the intervals on which our function is increasing and decreasing.
We know that when graph of function is going upwards from left to right then the graph is increasing.
When graph of function is going downwards from left to right then the graph is decreasing.
Upon looking at our given graph, we can see that for x values less than 0, the graph is going downwards from left to right, therefore, our function is decreasing on interval [tex]x<0[/tex].
We can see from our given graph that for x values greater than 0, the graph is going upwards from left to right, therefore, our function is increasing on interval [tex]x>0[/tex].
experts/ace helpppp plzzz
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point slope form is y=mx+ b
m is slope which is given as 1/2
replace x & y into the equation to solve for b
b = 6
so equation is y =1/2x+6
which equation represents a linear function? equation 1: y = 2x2 1 equation 2: y2 = 3x 1 equation 3: y = 5x – 1 equation 4: y = 4x4 – 1 (5 points) equation 1 equation 2 equation 3 equation 4
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linear means first degree
first degree means the hightest exponent of the variables is 1
so
equation 1:
[tex]y=2x^2+1[/tex]
highest exponent is 2, not 1
not leinear
equation 2: y^2=3x+1
highest exponent is 2, not 1
not linear
equaton 3 y=5x-1
y=5x^1-1, it is 1
it is linear
equaton 4
y=4x^4-1
highest is 4, not 1
not linear
answer is equation 3: y=5x-1
Answer:
equation 3
Step-by-step explanation:
Find two numbers differing by 44 whose product is as small as possible.
Answers
Given that the product of two numbers will be smallest when the two numbers are equal, the numbers closest to this rule given the condition of having a fixed difference of 44 are -22 and 22.
Explanation:This problem falls under the branch of Mathematics called optimization problems in calculus. In this case, we are asked to find two numbers differing by 44 whose product is smallest. Remember that the product of two numbers that are a fixed difference apart will be smallest when the two numbers are equal. But since we can't have that according to the problem's conditions, we will have to get the closest possible which is making the two numbers as close to each other as possible.
Let's denote the smaller number as 'x'. Consequently, the larger number will be 'x + 44'. The product of these two numbers (which we want to minimize) is given by the function f(x) = x * (x + 44). To find the minimum, you would typically take the derivative of this function, set it equal to zero, and solve for 'x'. However, since we're dealing with a quadratic function, we know the graph is a parabola that opens upwards, and thus the minimum point is at the vertex. In a quadratic function given in the form of f(x) = a*(x - h)² + k, the vertex is at the point (h, k). Comparing this with our quadratic function, we can see by inspection that our 'h' is '-22'. Therefore, the two numbers are -22 and 22.
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The smallest product of two numbers differing by 44 is -484. These numbers are -22 and 22.
Explanation:This problem is solvable using the principle of quadratic minimum. Let's denote the two numbers as x and x + 44. Their product equals x(x + 44) = x2 + 44x.
This is a quadratic function with a positive leading coefficient (x2), therefore, it will yield a minimum value. The x-value for this minimum can be found using the formula -b/2a for any quadratic ax2 + bx + c, where a = 1 and b = 44. Calculating, -b/2a = -44/2 = -22.
This means that the product will be smallest when x = -22. However, since we're looking for two numbers that differ by 44, the necessary pairs are -22 and 22. The product of these two numbers, (-22)(22), equals -484, which is indeed the smallest possible product for two numbers differing by 44.
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1. The midpoint of Line Segment AB is (2, -9). The coordinates of one endpoint are A (4, 10). Find the coordinates of endpoint B.
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The sum of three times a number and seven is greater than four times the number
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7 > 4x - 3x
7 > x or x < 7 <==
Subtract 3x from both sides
7>x
Flip so variable is first
x<7
I'm not sure if this is what you were looking for but I tried. Sorry
What are the solutions of the quadratic equation 4x^2 + 34x?
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Now set these both equal to zero. 2x = 0, 2x + 17 = 0. Divide both sides by 2, you get one solultion of x = 0. For the other solution, subtract 17 from both sides; 2x = - 17. Divide by 2, x = -17/2
Your solutions are x = {- 17/2, 0}
To check, plug these back into the original equation to see if they equal zero. 4(0)^2 + 34(0) = 0 + 0 = 0
4(- 17/2)^2 + 34(- 17/2) = 289 + (- 289) = 289 - 289 = 0
when ava bought her car, it was worth 19,340. it was expected to decrease at a rate of 12.5% each year. what is the best prediction for value of avas car 10 after she bought it
A.8173
B.6840
C.5088
D.2418
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19340 * (1-0.125)^10 =
19340 * 0.875^10 =
$5087.88 round to 5088
Johnetta simplified seven over nine ÷ three over eight; her work is shown below. Identify where she made her error. (5 points) Original division problem: seven over nine ÷ three over eight Step 1: seven over nine multiplied by three over eight Step 2: seven times three over nine times eight Step 3: twenty-one over seventy-two Step 4: seven over twenty-four
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To change a division of fractions to a multiplication problem, you multiply by the reciprocal of one of the numbers (use the KFC rule of Keep, Flip, Change). Keep 7/9, flip the sign (division to multiplication), and change 3/8.
What Johnetta should have done is 7/9 times 8/3, which would be 56/27.
Answer:
STEP 1
Step-by-step explanation:
Which type of function is the result of multiplying a quadratic function and a linear function?
a linear function
a quadratic function
a constant function
a cubic function
Answers
Answer:
option D a cubic function
Step-by-step explanation:
answer will be option D a cubic function
when we multiply a quadratic function with a linear function the solution comes out to be a cubic function.
Example
assuming a linear function be (x+3)
assuming a quadratic function be ( x² + x+ 3 )
multiplying both the equation
( x² + x+ 3 ) × (x+3)
x². x + 3 x² + x.x + 3 x + 3 x + 9
x³ + 4 x² + 6 x + 9
hence the answer will be cubic.
Can anyone help me find the volume of this pyramid? Asappp
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V =[tex] \frac{1}{3} [/tex] x length x width x height
The given are
Length = 24 cm, Width = 18 cm, Height = 35 cm
Substitute the values to find the volume
V = [tex] \frac{1}{3} [/tex] x 24 x 18 x 35
V = 5040 cm³
The volume of the pyramid is 2520 cubic cm if the length is 24 cm, width is 18 cm, and height is 35 cm of the pyramid.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
As we know the volume of a pyramid is given by:
[tex]\rm Volume = \dfrac{1}{3} \times B\times H[/tex]
B is the base area of the pyramid.
We have L = 24 cm, W = 18 cm, and H = 35 cm
B = (24×18)/2 = 216 square cm
[tex]\rm Volume = \dfrac{1}{3} \times 216\times 35[/tex]
Volume = 2520 cubic cm
Thus, the volume of the pyramid is 2520 cubic cm if the length is 24 cm, width is 18 cm, and height is 35 cm of the pyramid.
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What is the solution to the inequality: -3x-9>10x+5
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-3x - 10x > 9 + 5
-13x > 14
x < - 14/13
Suppose an isosceles triangle ABC has A = 45° and b = c = 4. What is the length of a2? A.22.63
B.54.63
C.9.37
D.3.10
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Since b = c, the angles B and C also equal
so you get
180 - 45 = 135
135/2 = =67.5 for each angle
now we know 2 sides and all 3 angles, use the law of sines to find a
b/sin B = a/sin A
4/(sin 67.5) = a/(sin 45)
a = 4(sin 45)/(sin 67.5)
a^2 = (4(sin 45)/(sin 67.5))^2
a^2 = 9.37
Answer is C
A rectangular garden has a perimeter of 172 feet. The length of the garden is 24 feet more than the width. What are the dimensions of the garden? (Recall the formula P = 2L + 2W.)
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perimeter = 2L +2W, divide total perimeter by 2 for total length of 1 side and 1 width
172/2 = 86 ( total for 1 side and 1 width)
86-24 = 62 (since length is 24 ft longer subtract 24 then divide by 2 for width)
62/2 = 31
width = 31 feet
length = 31 +24 = 55 feet
check: 31*2 = 62, 55*2 = 110, 110+62 = 172
Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle
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we know that
In a [tex]30-60-90[/tex] triangle
the ratio between the lengths of the two legs is equal to the tangent
so
[tex]tan(30\°)= \frac{1}{\sqrt{3}}= \frac{\sqrt{3}}{3}[/tex]
[tex]tan(60\°)= \sqrt{3}[/tex]
therefore
the answer is
Option B
[tex]\frac{1}{\sqrt{3}}[/tex] -------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
Option C
[tex]\frac{\sqrt{3}}{3}[/tex] ------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
Option E
[tex]\frac{3}{3\sqrt{3}}=\frac{1}{\sqrt{3}}[/tex] -------> could be the ratio
because is the value of the [tex]tan(30\°)[/tex]
In parallelogram MNOP , PK=5x and KN=x2−14 .
What is PN ?
7
36
70
100
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PK = KN
so
5x = x^2 - 14
x^2 - 5x - 14 = 0
(x -7)(x+2) = 0
x+2=0,x = -2
x-7=0;x = 7
so answer for x is 7
PK=5x = 5(7) = 35
KN=x^2−14 = 7^2 - 14 = 49 - 14 = 35
and
PN = PK + KN
PN = 35 + 35
PN = 70
answer
C. 70
Factor Completely: 54m^5+18m^4+9m^3
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hope this helps
Rearrange the formula c2 = a2 + b2 for b.
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Answer:
[tex]b = \sqrt{csquare - a square[/tex]
Step-by-step explanation:
What is 11.42424242... in a rational expression in the form of a over b?
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A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8. The theater can seat at most 200 people. The manager wants to collect at least $1000 from ticket sales. Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold. Which inequalities are among the constraints for this situation? Select each correct answer. 1. x+y≥200 2. 12x+8y≤1000 3. 12x+8y≥1000 4. x+y≥1000 5.x+y≤200 6.12x+8y≤200
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The answers are 12x+8y≥1000, 12x+8y≤1000, x+y≤200, and x+y≥200,
The explanation behind the first equation is 12x signifies the regular tickets, being at $12 each. And 8y signifies the student tickets being $8 each. The symbol is "≥", because the manager wants $1000 or more from the ticket sale. While the second equation, just the same with the first but the symbols differ since the sale could be lesser than 1000.
The explanation behind the third equation is 200 is the number of seats at most. In the fourth equation, if many people came, they would lack seats so that’s why the greater sign is used.
In the diagram below, which distance represents the distance from point J to KL
Answers
Answer:
Option B JM is the right answer.
Step-by-step explanation:
The distance that represents the distance from point J to KL is JM.
The distance between any given point and a line is the shortest distance between a fixed point and any point on the line.
This implies that it is the length of the perpendicular line segment on the line and passes through the point.
Here, in the figure, JM is perpendicular to the line KL drawn from the point J.
So, the answer is JM.
The domain of both f(x) = x - 6 and g(x) = x + 6 is all real numbers. What is the domain of h(x) = f(x)/g(x)?
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Since g(x) is in the divisor position, it cannot equal 0.
[tex]x+6 \neq 0[/tex]
[tex]x \neq -6[/tex] Subtract 6 from both sides to solve.
So the domain is all real numbers except -6
Set notation {x | x ∈ R, x ≠ -6}
Interval notation (-∞,-6)∪(-6,∞)
Final answer:
The domain of the function h(x) = f(x)/g(x) is all real numbers except x = -6.
Explanation:
The domain of a function represents the set of all possible input values (x) for which the function is defined. In this case, the domain of f(x) = x - 6 is all real numbers, and the domain of g(x) = x + 6 is also all real numbers. When finding the domain of the function h(x) = f(x)/g(x), we need to consider any values of x that would result in division by zero.
Since g(x) = x + 6, the function g(x) would be equal to zero when x = -6. Therefore, the domain of h(x) would exclude x = -6, as it would result in division by zero. Other than that, the domain of h(x) would be all real numbers.
So, the domain of h(x) = f(x)/g(x) is all real numbers except x = -6.
A sofa is on sale for 29% off. the sale price is $355 . what is the regular price?
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=$500
the regular price is $500
Which of these could be the graph of F(x) = ln x + 2?
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Answer:
The shape of that graph is a concave and strictly increasing curve, as shown in the attached graph.
Step-by-step explanation:
The natural logarithm, ln (x), is the inverse of the exponential function and defined in x only for positive real numbers, in addition, it is an irrational number.
From the analytical point of view, it can be defined that for any positive real number x> 0 as the area under the curve y = 1 / t between 1 and x. The natural logarithm is a function with domain of definition of positive real numbers.
Some of the properties of the natural logarithm are: it is a bijective, concave, strictly growing and continuous function
Sound travels through the air different materials at different speeds. The graph shows that one second, sound travels 5971 meters through a stone. However, it travels only 346 air in one second. Air, 20 seconds.
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Sound travels at different speeds depending on the medium, moving faster in more rigid and denser mediums, like stone, than in compressible and less dense mediums, like air. At sea level and room temperature, sound waves move at approximately 343 meters per second. Light travels much faster than sound, thereby reaching observers noticeably sooner than sound over larger distances.
Explanation:The speed at which sound travels depends on the characteristics of the medium through which the sound is moving, specifically its rigidity and density. Sound waves move through a medium such as stone faster as it is more rigid (less compressible) and denser than a medium like air. This is why in your graph, sound travels 5971 meters in stone in one second, but only 346 meters in air in the same time period.
Sound waves are mechanical, pressure waves. In a vacuum where there are no molecules to oscillate, there are no sound waves. Variations in altitude, temperature, and the medium of transmission influence the speed of sound waves. For instance, at sea level and a temperature of 20° C, sound waves move in the air at approximately 343 meters per second.
Sound and light are both waves and travel at finite speeds. However, light travels significantly faster than sound, hence you see light from a fireworks display before hearing the sound. The speed difference between light and sound waves becomes noticeable over distances.
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What is the measure of angle PSQ?
Answers
QSP = 180 - 112
QSP = 68 degrees
:)
I need an algebra equation where the answer is 50
Answers
um..
5x+5x+(2x+4)+(2x+4)=50