Answer:
-1
Step-by-step explanation:
The width of a rectangle is fixed at 7 cm. Determine (in terms of an inequality) those lengths for which the area will be
less than 175 cm²
The lengths for which the area will be less than 175 cm² are less than 25 cm
How to determine the lengths of the areasFrom the question, we have the following parameters that can be used in our computation:
Width = 7 cm
Area = Less than 175 cm²
The formula of area is represented as
Area = Length * Width
Using the above as a guide, we have the following:
Length * Width < 175
substitute the known values in the above equation, so, we have the following representation
Length * 7 < 175
Divide by 7
Length < 25
Hence, the length is less than 25
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Which of these points is closest to the point (7,1)?
Answer:
6,7
Step-by-step explanation:
Use the chain rule to find the derivative of
f(x) = 4√/8x³ + 2x4
Type your answer without fractional or negative exponents. Use sqrt(x) for √√x.
X.
f'(x) =
Using chain rule, the derivative of f(x) = 4√(8x³ + 2x⁴) is
f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)
What is the derivative of the function?To find the derivative of the function f(x) = 4√(8x³ + 2x⁴), we can use the chain rule.
Let's break down the function into its components:
u(x) = 8x³ + 2x⁴ (inside function)
v(u) = 4√u (outer function)
To find the derivative, we apply the chain rule, which states:
(f(g(x)))' = f'(g(x)) * g'(x)
In this case, f(g(x)) = v(u(x)), and g(x) = u(x).
First, let's find the derivative of the inner function u(x):
u'(x) = 24x² + 8x³ (using the power rule for differentiation)
Next, let's find the derivative of the outer function v(u):
v'(u) = 4 * (1/2) * 1/√u = 1/√2u = 2/√u
Now, we can apply the chain rule:
f'(x) = v'(u(x)) * u'(x)
f'(x) = (2/√u) * (24x² + 8x³)
f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)
The derivative of the function is (2/√(8x³ + 2x⁴)) * (24x² + 8x³)
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Two different students decide to compare their businesses. Scooter makes his own t-shirts,
while Karissa does computer repairs. For both models, x represents the number of sales made
each month and f(x) represents total money for each individual. The two functions below model
their respective businesses:
Scooter: f(x) = 200 + 15x
Karissa: f(x) = 80 + 35x
a. Describe what the slope and y intercept represent for both models based on the context.
Compare the two functions. What is one statement you could say about each?
b.
C.
In one month, Scooter sells 20 shirts. That same month, Karissa does 12 repairs. Who had
the better month?
a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
How to Describe what the slope and y intercept represent for both models based on the contexta) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.
In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.
Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.
b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.
For Scooter, with x = 20 (number of shirts sold):
f(x) = 200 + 15x
f(20) = 200 + 15 * 20
f(20) = 200 + 300
f(20) = 500
For Karissa, with x = 12 (number of repairs):
f(x) = 80 + 35x
f(12) = 80 + 35 * 12
f(12) = 80 + 420
f(12) = 500
Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
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What’s the slope?!??????
Answer:
y=mx+b
Step-by-step explanation:
What is the approximate length of side GF in triangle EFG?
Answer:
41.93 degrees
Step-by-step explanation:
8. 3x + 5 > 16, x is an integer. Find
the smallest value of x.
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Answer:
4
Step-by-step explanation:
Undo what is done to x.
3x > 11 . . . . . subtract 5
x > 11/3 = 3 2/3 . . . . divide by 3
The smallest value of x is 4.
H(x)=-(x-2)^2+16
How many seconds after being thrown will the ball hit the ground?
Answer:
three seconds
It takes three seconds for the ball to hit the ground.
Note: On Earth, it would take a little over nine seconds for the ball to fall back to the ground.
Step-by-step explanation:
Please help with this math worksheet
helpppppppppp me plz
Use the interactive to make a line that passes through the points 3'2 and -1'-1 slope
The required equation of the line passing the coordinates will be y = 3/4x - 1/4
Equation of a lineThe standard equation of a line is expressed as y= mx + b
where
m is the slope
b is the y-intercept
Given the coordinate points on a line (3, 2) and (-1, -1)
Slope = -1-2/-1-3
Slope = 3/4
Determine the y-intercept
2 = 3/4(3) + b
2 = 9/4 + b
b = 2 - 9/4
b = -1/4
The required equation of the line passing the coordinates will be y = 3/4x - 1/4
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el producto de dos números pares positivos es cuatro veces el menor, más 48 ¿ cual es el producto?
Answer:
El número más pequeño es
6
Step-by-step explanation:
Deje que el número más pequeño sea
s
(
→
el número mayor es
s
+
2
)
s
⋅
(
s
+
2
)
=
48
→
s
2
+
2
s
-
48
=
0
→
(
s
-
6
)
(
s
+
8
)
=
0
→
s
=
6
o
s
=
-
8
Please Help! 13 points!
a) The first mistake that Fatima made was in the first step.
b) She incorrectly changed the place value of 0.02 in the subtraction operation.
c) Based on the correct subtraction operation and place value in step one, Fatima has 0.395 kilograms of rose petals left.
What is a place value?The place value shows the position of a digit in a number.
The right place values are essential for correct mathematical operations.
The quantity of rose petals that Fatima bought initially = 0.454 kilograms
The quantity of rose petals used for making rose water = 0.02 kilograms
The remaining quantity of rose petals = 0.434 (0.454 - 0.02)
The additional quantity of rose petals Fatima bought = 0.056
The quantity of rose petals used for making the second rose water = 0.095
The quantity of rose petals left = 0.395 (0.434 + 0.056 - 0.095)
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Hurry please btw this not my laptop
Answer:
16x X 44 squared
Step-by-step explanation:
A flower bed is in theShape of a trianglewith one side twice thelengththe ShortestSidethe third side is 27 Peet more thonthelength of the Shortest Side. Find the dimensionsthe penmeter is 179 feet.
First, we can draw a picture to understand more easily what the exercise asks of us:
Then, if they tell us that the perimeter is 179 feet, we have:
\(x+2x+27+x=179\)Because the perimeter is the sum of all the sides of a geometric figure. So that,
\(\begin{gathered} x+2x+27+x=179 \\ 4x+27=179 \\ 4x=179-27 \\ 4x=152 \\ x=\frac{152}{4} \\ x=38 \end{gathered}\)Then the other sides measures
\(\begin{gathered} 2x=2\cdot38=76 \\ \text{An the third side:} \\ 27+x=27+38=65 \end{gathered}\)Finally,
Volume 100 points .....
Answer: 2,240
Step-by-step explanation:
36x 20 times 10 -4,960= 2,240
so after you find the volume of two shape
you multiply for the last one then you subtract -4,960 and
get 2,240 so the answer is 2,240
Hope this helps :)
Answer:
2240
Step-by-step explanation:
36 times 20 x 10 is 7200 minus 4,960 is 2240
as you can see there are two shapes, so you need to get the volume.
Explanation: The 2,240 (answer) is made out of 3 parts, the first shape and the second shape, the first shape represents the 10. The second shape represents the 36 and 20. The 36
Find the exterior of a rectangle in a polygon
The measure of each exterior angles of rectangle is 90°
Finding the exterior of a rectangle in a polygonFrom the question, we have the following parameters that can be used in our computation:
A rectangle
A rectangle is a polygon with 4 sides
So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon
The exterior angles in a polygon are found by using:
Exterior of a rectangle in a polygon = 360°/Number of sides of the polygon
In this case,
The number of sides of the rectangle = 4
So, we have
Exterior of a rectangle = 360°/4
Evaluate
Exterior of a rectangle = 90°
Hence, the value of the measure of each exterior angles of rectangle is 90°
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Complete question
Find the measure of each exterior angles of rectangle?
Step by step
is it possible to have an inscribed circle by using centroid as the centre ?
Answer:
Yes, it is possible
Step-by-step explanation:
HELP?!?!?!?!!!! THANKS FOR HELPING
Answer: its the second one
Step-by-step explanation: hope this helps
You model your investment account using the formula y = 20000(1.035)x where x represents the
number of years and y represents the account balance after x years. What is the growth rate of your
investment?
Answer:
Step-by-step explanation:
The growth rate of the investment is represented by the constant multiplier in the exponential term of the formula y = 20000(1.035)x. In this case, the constant multiplier is 1.035, which represents the annual growth rate of the investment account.
To calculate the growth rate as a percentage, we can subtract 1 from the constant multiplier, and then multiply the result by 100.
So, the growth rate of the investment is:
1.035 - 1 = 0.035
0.035 * 100 = 3.5%
Therefore, the growth rate of the investment is 3.5%.
The diameter of a planet is about 22,502 mi. The diameter of the planet's moon is about 22% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?
Answer:
about 1.1%
Step-by-step explanation:
Given a moon has a diameter of 22% of the diameter its planet, you want the volume of the moon as a percent of the planet's volume.
Scale factorThe ratio of moon diameter to planet diameter is given as 22%. The ratio of moon volume to planet volume will be the cube of this scale factor:
moon volume / planet volume = (0.22)³ ≈ 0.0106 = 1.06%
The volume of the moon is about 1.1% of the volume of the planet.
<95141404393>
If y varies inversely as X and y=16 when X=4,find y when X=32
\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=16 \end{cases} \\\\\\ 16=\cfrac{k}{4}\implies 64 = k\hspace{9em}\boxed{y=\cfrac{64}{x}} \\\\\\ \textit{when x = 32, what's "y"?}\qquad y=\cfrac{64}{32}\implies y=2\)
A group of friends wants to know how many students bike to school.
Based on the median of the samples what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number!
A reasonable estimate of the number of students that bike to school is given as follows:
15 students.
What does a box and whisker plot shows?A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:
The minimum non-outlier value.The 25th percentile, representing the value which 25% of the data-set is less than and 75% is greater than.The median, which is the middle value of the data-set, the value which 50% of the data-set is less than and 50% is greater than%.The 75th percentile, representing the value which 75% of the data-set is less than and 25% is greater than.The maximum non-outlier value.The median is the middle value inside the box, hence it is given as follows:
15 students.
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True or False: Probability is another word for chance and is on a spectrum from 0-1
Answer: True
Step-by-step explanation: Probability is an event or circumstance that is probable. Chance is a possibility of something happening. Hence, they are the same.
PLEASE HELP! URGENT! Exponential function f is being represented by the table (photo attached) the function “g” is an exponential function passing through the points of (0, 15) , (2, 0). Which of the statements below correctly compared the behavior of these two functions on the interval (0, 2) ??
Answer:
C) Both functions are decreasing and both are positive on the interval (0;2)
Step-by-step explanation:
As known the exponent function has no minimum and has no maximum.
Otherwise exponent function can be only or increasing or decreasing for all x.
That means that in case y(x2)>y(x1) and if x2>x1- function is increasing.
That means that in case y(x2)<y(x1) and if x2>x1- function is decreasing.
Lets check what is going on with the function f(x)
If x1=0 f(x1)=24
If x2=2 f(x2)=0
So x2>x1 however f(x2)<f(x1)=> function is decreasing
Similarly g(x)
If x1=0 g(x1)=15
If x2=2 g(x2)=0
So x2>x1 however g(x2)<g(x1) => function is decreasing
So bothfunctions are decreasing.
Because f(x) is decreasing the function meaning with argument x1=0 has max in the interval x∈(0;2) And function meaning has the minimum if argument x2=2. So the function F(x) in interval (0;2) is changing from 24 to 0 => is positive on the interval (0,2)
The same is with g(x) . g(x) gonna be positive on the interval (0;2)
pleased help me! I need the question it due today.
Answer:
7. -21-15g
8. x+3y+7
Step-by-step explanation:
use multiplication for number 7
number 8 is just rearranging the numbers
number 9 is confusing since i don't know if it's a point or another symbol
Which expressions describe the end behaviors of the function, f(x)= (3.25)^x+6, modeled by the graph? An exponential curve on a coordinate plane with horizontal x axis ranging from negative 10 to 10 in increments of 1. The vertical y axis ranges from negative 4 to 14 in increments of 1. The curve begins infinitely close to the line y equals 6 in the second quadrant. The curve increases through begin ordered pair 0 comma 7 end ordered pair. The curve passes through begin ordered pair 1 comma 9.25 end ordered pair and exits the first quadrant.
The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.
What is end behavior as used in math?The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.
For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.
The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6
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Please help with this
Answer:
B. \( m \angle1 + m \angle3\)
D. \(180\degree - m \angle6\)
Step-by-step explanation:
By exterior angle theorem:
\(m \angle4 = m \angle1 + m \angle3\)
\(m \angle4 = 180\degree - m \angle6\)
a 40 foot ladder is leaning against a building and forms a 29.32° angle with the ground. How far away from the building is the base of the latter? Round your answer to the nearest hundred
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Answer:
34.88 feet
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
We want to find the length of the side adjacent to the measured angle. The hypotenuse is the ladder length.
cos(29.32°) = distance/(40 ft)
distance = (40 ft)cos(29.32°) ≈ 34.876°
The base of the ladder is about 34.88 feet from the building.
_____
Additional comment
It extends about 19.59 feet up the side of the building.
What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?
–12 – 20x ≤ –6x + 9
–12 – 20x ≥ –6x + 9
–12 + 20x ≤ –6x + 9
–12 + 20x ≥ –6x + 9
Answer
add.bhdwknjkkkkkkkkn