Answer:
9
Step-by-step explanation:
Pythagorean triples. 3, 4, 5. Multiply by 3 and get 9.
f'(x) = 4f(x) and f(0) = 10
Answer:f(x)=10e^4x
Step-by-step explanation:
f(x)=C*e^4x
f(0)=c*e^4.0
10=C*e^4.0
10=C
f(x)=C*e^kx
f(x)=C*e^4x
Which inequality correctly compares One-half, Three-fourths, and Two-thirds?
One-half < Three-fourths < Two-thirds
One-half < Two-thirds < Three-fourths
Two-thirds < One-half < Three-fourths
Three-fourths < One-half < Two-thirds
An inequality correctly compares One-half, Three-fourths, and Two-thirds is: One-half < Two-thirds < Three-fourths.
What is an inequality?An inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values (numbers) and variables in an algebraic equation, especially based on any of the following inequality symbols:
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Translating the numbers in word to numerical values, we have:
One-half = 1/2 or 0.5
Three-fourths = 3/4 or 0.75
Two-thirds = 2/3 or 0.67
Next, we would compare the above numerical values by using the less than (<) inequality symbol as follows:
0.5 < 0.67 < 0.75
One-half < Two-thirds < Three-fourths.
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Verify experimentally that the diagonals of a square are equal to each other.
The diagonals of a square are equal to each other
Let ABCD be a square.
We need to prove that the diagonals are equal to each other
AC=BD and AC and BD bisect each other at right angles
(i) Considering the ΔABC and ΔBAD,
AB=AB ( common line)
BC=AD ( opppsite sides of a square)
∠ABC=∠BAD ( = 90° )
ΔABC≅ΔBAD( By SideAngleSide property)
AC=BD ( by CPCT).
(ii) Now in triangles ΔOAD and ΔOCB,
AD=CB ( opposite sides of a square)
∠OAD=∠OCB ( transversal AC )
∠ODA=∠OBC ( transversal BD )
ΔOAD≅ΔOCB (ASA property)
OA=OC ---------(i)
Similarly OB=OD ----------(ii)
From (i) and (ii) we can conclude that AC and BD bisect each other.
Now in a ΔOBA and ΔODA,
OB=OD ( from (ii) )
BA=DA
OA=OA ( common line )
ΔAOB=ΔAOD----(iii) ( by CPCT
∠AOB+∠AOD=180° (linear pair)
2∠AOB=180°
∠AOB=∠AOD=90°
Therefore, it is proved that AC and BD bisect each other at right angles.
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Fleur is making 8 identical thank-you cards for her teachers. each card requires 2.5 sheets of yellow paper and some red paper. she uses a total of 30 sheets of paper. a. write an equation that can be used to determine the number of red sheets, r, required for each card. __
The required equation to determine the number of red sheets, r, required for each card is 8r + 20 = 30.
Let the required number of red paper be r. For one card, the 2.5 sheets of yellow paper are required. So, for 8 thank-you cards, the yellow papers required will be = 8×2.5
Number of yellow papers = 20
Total number of sheets required = Number of yellow sheets for 8 cards + Number of red sheets for 8 cards
Keep the values in formula to form the equation
30 = 20 + 8r
8r = 10
r = 10/8
r = 1.25
So, the equation for calculation of number of red papers for each card is 1.25.
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population etiologic fraction is a measure of the proportion of the disease rate in a population attributable to the exposure of interest. this measure of effect is influenced by:
This measure of effect is influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also the prevalence of exposure in the population.
As stated, population etiology fraction is a measure of the disease rate in a population attributable to the exposure of interest. This is a measure that can be influenced only by the exposure caused due to a particular disease. Hence it can be influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also with the prevalent of the exposure in the population.
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Find the missing base.
Write your answer as a whole number.
2=100
The missing base for the expression x² = 100 is given by:
± x = 10.
How to find the missing base?The expression in this problem is given as follows:
x² = 100.
The missing base is represented by the variable x, hence we have to solve the above expression x² = 100 for the variable x.
To solve for x, we need to isolate the variable x, applying the inverse operation to the second power, which is the square root, hence the variable x is isolated as follows:
x = plus/minus square root of 100.
The plus/minus sign is necessary because the x-squared function is even, then the missing base is obtained as follows:
x = ± 10.
Plus/minus 10 because both of these statements are true:
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Part A
The graph shows the distance in miles, , a car travels in hours.
Explain why the graph does or does not represent a proportional relationship between the variables and .
Enter your explanation in the box provided.
Part B
Two cars leave from the same city at the same time and drive in the same direction. The table shows the distances traveled by each car.
• Determine whether the relationship between the number of hours traveled and the number of miles traveled is proportional for each car.
• Use the table to explain how you determined your answers.
• Describe how the graph of the distance traveled by each car would support your answers.
Enter your answers and your explanations in the box provided.
fi r e re r er e r er e re r e r er e re
HELP ME PLEASE ASAP MATH PLEASE HELP Ill give brainlyless if someone do it right and help me
Juan wants to buy a video game for $63 He saves every Friday $12.
An equation to represent Juan’s total savings, , in dollars, after Fridays y is
Part A is
y =12x
Fridays will it take for Juan to save up enough money for the video game is .
Part B
y > 63
12 x > [tex]5\frac{1}{4}[/tex]
x = 6
so
That means 6 fridays
An equation to represent Juan’s total savings, , in dollars, after Fridays y is 12 x Fridays will it take for Juan to save up enough money for the video game is 6 friday.To learn more about total savings refer to:
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b According to estimates, there are over 300 million people living in the Unite
States. How many Neyland Stadiums would it take to hold 300 million people
Answer:
it would take 3,000 neyland stadiums to take 300milion people is rounded i hope this helps
Step-by-step explanation:
find the equation of a line that is equidistant from the points (2,4) and (-4,6)
The equation of a line is y = 5x - 6
What is Equation of line ?
A straight line's general equation is y = mx + b, where m denotes the gradient or slope and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.
The given points are (2, 4) and (-4, 6)
The equation of line is given ,
y = mx + b
where, m = slope
b = y - intercept
To find slope , we have formula
slope (m) = (y2 - y1) / (x2 - x1)
let, (x1, x2) = (2, 4) and
(y2, y1) = (-4, 6)
Now, put the values in slope formula,
m = ( 6 - (-4) ) / ( 4 - 2)
m = (6 + 4) / 2
m = 10 / 2
m = 5
We get slope, now find y-intercept i,e, 'b'
y = 5x + b
so take any point to find 'b'
Let's take the point (2, 4) which is (x, y) so now put the (x, y) and find 'b'.
4 = 5 * 2 + b
4 = 10 + b
b = 4 - 10
b = -6
so, now put the values of slope and y-intercept in equation of line i.e, y = mx + b
y = 5x - 6
Hence, the equation of a line is y = 5x - 6
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Find the surface area of this cuboid.
4 cm
2 cm
2 cm
Answer:
40 cm²
Step-by-step explanation:
Let,
length ( l ) = 4 cm
Height ( h ) = Width ( w ) = 2 cm
To find : Surface are of cuboid : -
Formula : -
Surface are of cuboid = 2 [ lh + hw + wl ]
Surface are of cuboid
= 2 [ ( 4 )( 2 ) + ( 2 )( 2 ) + ( ( 2 )( 4 ) ]
= 2 [ 8 + 4 + 8 ]
= 2 [ 20 ]
= 2 x 20
= 40 cm²
an analog signal received at a detector (measured in micro volts) may be modeled as a gaussian random variable n (200, 256) at a fixed point in time. what is the probability that the signal will exceed 240 micro volts? what is the probability that the signal is larger than 240 micro volts, given that it is larger than 210 micro volts?
Given that the signal gets larger than 210 microvolts, there is a 2.335 % chance that it is also larger than 240 microvolts.
Define the term Gaussian random variable?We consider the Gaussian form whenever we need to describe complex valued random variables for whom the distribution is unknown. The Central Limit Theorem (CLT), which deals with the sum of several random variables, is substantially fundamental for this tendency.As, per the given question.
Gaussian random variable n (200, 256)
Part a: Probability that signal will exceed 240 micro volts.
P(x > 240) = 1 - P(x ≤ 240)
P(x > 240) = 1 - P(240 - 200)/16
P(x > 240) = 1 - P(2.5)
See p value for z = 2.5
P(x > 240) = 0.00621
Thus, Probability that signal will exceed 240 micro volts is 0.00621.
Part b: larger than 210 micro volts.
P(x ≥ 240) | x ≥ 210) = P(x ≥ 240) / P(x ≥ 210)
P(x ≥ 240) | x ≥ 210) = 1 - P(240 - 200)/16 / 1 - P(210 - 200)/16
P(x ≥ 240) | x ≥ 210) = 0.00621 / 0.26599
P(x ≥ 240) | x ≥ 210) = 0.02335
Thus, for the signal gets larger than 210 microvolts, there is a 0.02335 percent chance that it is also larger than 240 microvolts.
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tim and angel are working on promoting an event for a club they are in on campus. in one afternoon tim can make 4 flyers or 5 posters, and angel can make 3 flyers or 6 posters. if you were to graph angel's ppc with posters on the horizontal axis, what would be the slope of her ppc
If we graph the angel's ppc then the slope of angel's ppc will be -1.
Given, Tim and Angel are working on promoting an event for a club they are in on campus.
In one afternoon, Tim can make 4 flyers or 5 posters, and Angel can make 3 flyers or 6 posters.
we have to find the slope of the angel's ppc if we graph the angel's ppc.
As, the graph of the angel's ppc will pass through the point (3 , 6).
so, the slope = (6 - 5)/(3 - 4)
slope = 1/-1
slope = -1
Hence, if we graph the angel's ppc then the slope of angel's ppc will be -1.
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According to a report for veterinarians in the united states, 36. 5 percent of households in the united states own dogs and 30. 4 percent of households in the united states own cats. If one household in the united states is selected at random, what is the probability that the selected household will own a dog or a cat?.
a street light is at the top of a 20 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. how fast is the tip of her shadow moving when she is 15 ft from the base of the pole?
The speed of the tip of her shadow would be 5.714 ft/sec. ft/sec.
let H, be the height of the pole = 20 ft.
h, be the height of the woman = 6 ft.
x, be the length of the woman's shadow,
and s, be the distance from the pole to the woman = 15
by using the equation of similar triangles,
[tex]\frac{H}{h} = \frac{(s+x)}{x}[/tex] or Hx = h(x+s)
differentiating, [tex]H\frac{dx}{dt} = h (\frac{ds}{dt} + \frac{dx}{dt} )[/tex]
[tex]20\frac{dx}{dt} = 6(4 + \frac{dx}{dt} ) = 24 + 6 \frac{dx}{dt}[/tex]
[tex]14\frac{dx}{dt} = 24[/tex],
[tex]\frac{dx}{dt} = \frac{24}{14}[/tex] ≈ 1.714 ft/sec, is how fast her shadow is lengthening.
the speed of the tip of her shadow would be the speed of shadow lengthening + speed of her traveling = 1.714 + 4 = 5.714 ft/sec.
thus, a street light is at the top of a 20 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. the speed of the tip of her shadow would be 5.714 ft/sec.
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PLEASE ANSWER
What are the coordinates of the point that is one half the distance between A(−1, −2) and B(6, 12)?
( , )
given p (1,3) q(8,-4), r(2,9) and s(7,y). find y such that pq || rs
By secant line formula, the missing value of the point S is equal to 4.
How to determine the missing coordinates of a point related to two parallel line segments
Two line segments are parallel if and only if both line segments have the same slope. Slopes can be determined by secant line formula, defined below:
m = Δy / Δx
Where:
Δx - Change in the variable x. Δy - Change in the variable y.Then, the missing value of the variable y in the point S is:
(- 4 - 3) / (8 - 1) = (y - 9) / (7 - 2)
- 7 / 7 = (y - 9) / 5
- 1 = (y - 9) / 5
- 5 = y - 9
y = 4
The missing value of the variable y is 4.
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A school had 1 200 students last year and only 1 080 students this year.
What was the percent decrease in the number of students?
Answer:The percentage decrease in the number of students is -10%.
Given that,
The school has 1,200 students last year.
And, this year it is 1,080.
Based on the above information, the calculation is as follows:
Therefore we can conclude that the percentage decrease in the number of students is -10%.
Step-by-step explanation: noice
0
O
13. Choose whether the slope of the line is positive, negative, zero, or undefined.
undefined
zero
negative
positive
The slope of the line is Positive
What is the Slope of a line:
The slope of a line is the rate of change of rising of the line and it is also defined as the steepness of the line. Slope of the line is denoted by “m.”
The slope of the line at different positions:
When we go from left to right on the graph if the line moves up then the slope of the line will be positive
When the line is parallel to the Horizontal axis i.e x-axis then the slope of the line will be zero
The slope of a line or the slope of the y-axis, that is parallel to the y-axis is undefined
From the given picture,
We can say that from left to right the given line is moving upwards
Therefore
From the above observation slope of the line is Positive
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let n be the second smallest positive integer that is divisible by every positive integer less than 7. what is the sum of the digits of n?
The sum of the digits of n is 3 if n is the second smallest positive integer that is divisible by every positive integer less than 7
What is least common multiple?
The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers.
It can be calculated for two or more numbers as well.
For example, LCM of 10, 2 and 7 is 70.
According to the given question:
Now n must be divisible by every positive integer less than 7, or
1, 2, 3, 4, 5, and 6.
Each number that is divisible by each of these is a multiple of their least common multiple.
LCM (1,2,3,4,5,6) = 60
So each number divisible by these is a multiple of 60.
The smallest multiple of 60 is clearly 60, so the second smallest multiple of 60 is 2 x 60 = 120.
Therefore, the sum of the digits of n is 1+2+0 = 3
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Which of the contexts below represents exponential growth?
An amusement park charges $3.50 to go on each of the rides.
A town's population grows at a rate of 5.3% every year.
The amount of a certain medication in a person's bloodstream decreases by 2/5
every minute.
A town's population shrinks at a rate of 9.7% every year.
Answer:
A town's population grows at a rate of 5.3% every year.
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,280 ft Determine the flag's width and length if the length is 400 ft greater than the
width
The length of rectangle is 1170 ft and width is 770 ft.
Define perimeter.The perimeter of a form is the space surrounding its edge. A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. We must sum up the lengths of the rectangle's four sides in order to get its perimeter. Since there are two of each side length, it is easy to accomplish this by simply adding the length and width and multiplying the result by two. The perimeter formula is defined as perimeter=(length + width)2.
Given,
The perimeter of the flag is 2,280 ft .
Length = 400 ft
Let l represent the size of the flag.
and
The width is w.
then in line with the preceding statement
l = w+400
Sphere size is 2280 feet.
The perimeter formula is provided by:
Perimeter = 2(Length + Width)
2280 = 2( w + w+ 400)
2280/2 = 2w - 400
1140 + 400 = 2w
1540 = 2w
width = 770
Length = 770 + 400
Length = 1170
The length of rectangle is 1170 ft and width is 770 ft.
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John climbs a cliff that is 128 feet high in 16 minutes. What is his average rate of ascent?
Please help !!! I don’t understand 25 points !
Answer: Triangle VUT:
84:70:42
Triangle RSQ:
30:25:15
Final simplified answer: 2.8:2.8:2.8
Scale factor of 2.8
Step-by-step explanation:
Each triangle's sides are a part of the ratio, then you divide each side by the corresponding one (84 by 30, and 70 by 25) to get your scale factor.
use mental math to subtract. 8,329-7,218=
Answer:
1111
Step-by-step explanation:
factorise 2x^[2]-9x-5
Answer:
(2x + 1) and (x - 5)
Step-by-step explanation:
(2x + 1)(x - 5) = 2x^2 - 9x - 5
Can someone help me please?
Question 1
[tex]\frac{a-0}{a-0}=1[/tex]
Question 2
[tex](1)(-1)=-1[/tex]
you cannot remember your 5-digit bike-lock combination. what is the probability that you guess the combination correctly? (enter your probability as a fraction.)
The probability that you guess the combination correctly 0.00001.
We know that the probability of an event is (possible outcome/total outcome)
I will assume that repeats are allowed as in most combination locks so the number of possible codes
= 10⁵ = 100000
We also know that there is only one correct combination so the probability that you guess the combination correctly
= 1/10⁵ = 1/100000 = 0.00001
Orchestrating individuals, digits, numbers, letters in order, letters, and tones are instances of changes. Choice of menu, food, garments, subjects, and group are instances of combination.
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A rectangular blacktop with a length of 5x and a width of 3x has been erected inside a rectangular !eld that has a length of 12x and a width of 7x.a. What is the area of the part of the !eld that is not blacktop?b. "ere is a circular fountain in the rectangular !eld that has a radius of 3x. What is the area of the part of the !eld that does not include the blacktop or the fountain? Factor your answer. Pls help
Answer:
Step-by-step explanation:
to find area of a rectangle we use (L)(W) so we do that here for both of these rectangles first find the area of the black top
5x(3x)
15x^2 is the area of the blacktop
The “!ield” area is next
12x(7x)
84x^2 is the area now we just subtract the two numbers by subtracting coefficients but keeping the rest the same
84x^2-15x^2
69x^2 is the area of the rectangle that is not black top
B- the foundtain we find with the area of circle formula r squared times pi
3x(3x)pi
9x^2pi
Now we just subtract this from the area of the rectangle
69x^2 -9x^2pi is the area
Hopes this helps please mark brainliest
The values in the table represent a linear function. x 1 2 3 4 f(x) 1 4 7 10 What is the function rule? Write the rule in function notation, using the slope-intercept form of a line. Enter your answer in the box.
The rule in expressed in function notation and slope-intercept form of a line is f(x) = 3x -2
How to express the rule in function notation using the slope-intercept form of a line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system
The equation of a line in slope-intercept form is y = mx + c.
Where m is the slope and c is the intercept
In order to obtain the equation of the line, we are going to pick any two convenient values of x and y from the table. Let's pick the first and last point. Thus:
point1: x₁ = 1, y₁ = 1
point2: x₂ = 4, y₂ = 10
Using the equation for 2 points:
y-y₁ / y₂-y₁ = x-x₁ / x₂-x₁
y-1 / 10-1 = x-1 / 4-1
y-1 / 9 = x-1 /3
3(y-1) = 9(x-1)
y-1 = 3(x-1)
y-1 = 3x -3
y = 3x -3+1
y = 3x - 2
Thus, f(x) = 3x -2
Therefore, the rule in function notation, using the slope-intercept form of a line is f(x) = 3x -2
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