Using the concept of perimeter of polygon, the perimeter of figure C is 27cm shorter than total perimeter of A and B
How much shorter is the perimeter of C than the total perimeter of A and B?To solve this problem, we have to know the perimeter of the polygon C.
The perimeter of a polygon is the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
The perimeter of the figures are;
Using the concept of perimeter of a rectangle;
a. figure A = 2(4 + 11) = 30cm
b. figure B = 2(8 + 4) = 24cm
c figure C = 11 + 4 + 8 + 4 = 27cm
Now, we can add A and B and then subtract c from it.
30 + 24 - 27 = 27cm
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A company uses the graph to show how many packages each truck driver delivers .How many packages will one truck driver deliver in a 7-hour day?
The truck driver would deliver 105 packages in a 7 hours day
What is an equation?An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.
Let y represent the number of packages delivered by the truck driver in x hours. Using the point (1, 15) and (4, 60). Hence, the equation is:
y - 15 = [(60-15)/(4-1)](x - 1)
y = 15x
For a 7 hour day (x = 7):
y = 15(7) = 105
The driver would deliver 105 packages in 7 hours
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Colin borrowed 4200 at 8% simple interest to be paid back in 3 years. How much interest will he pay
Answer:
Answer 1008
Step-by-step explanation:
Guys i really need help, i will give brainliest to the right answers
determine the value of X?
Determine the Magnitude of FTD?
The value of x is 50 and FTD = 130°
How to find the value of x?Both of the angles in the diagram must have the same measure because are vertical, then:
3x - 20 = 2x + 30
3x - 2x = 30 + 20
x = 50
That is the value of x.
And we can see that FTD = 2x + 30 = 2*50 + 30 = 130
That is the measure.
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in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference. True or False ?
As per the given confidence interval, the given statement "in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference" is false.
Confidence interval,
in probability , confidence interval refers the probability that a population parameter will fall between a set of values for a certain proportion of times.
Given,
in forming a 95% confidence interval for a population mean from a sample size of 20, we can proceed with large sample inference.
Here we need to find the given statement is true or false.
While we looking into the given question, we have identified that the value of
Confidence interval = 95%
Sample size = 20
Then the sample inference is calculated as, if we were to take 20 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).
Therefore, the statement is in correct.
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Select all the expressions that are equivalent to 7(2−3).
Answer:
7(2-3) = -7
Step-by-step explanation:
Hope this helps, but you did not give us any options to choose from.
I need help on question 26 and 38
ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?
A. 360 °
B. 90°
C. 180°
D. 270°
Answer:
image please
Step-by-step explanation:
Identify the slope and y- intercept y=2x + 2
Answer:
Slope:2
Y-int:2
Step-by-step explanation:
y=m(slope)x+b(y-int)
Answer:
Slope is 2, Y-intercept is 2
Step-by-step explanation:
Point-slope form is y=mx+b
m=slope
b=y-intercept
Hope this helped.
The softball team is selling hats. John bought 3 for $24.00. Stacey bought 5 for $40.00. Jim bought 2 for $16.00.
Why does this verbal description represent a proportional relationship?
The value of the hats bought by John, Stacey, and Jim are $8 per hat. This shows a proportional relationship.
What is a proportional relationship?It should be noted that a proportional relationship is one where it van be expressed as y = kx.
In this case, John bought 3 for $24.00. This will be:
= $24 / 3
= $8 per hat
Stacey bought 5 for $40.00. This will be:
= $40 / 5
= $8 per hat
Jim bought 2 for $16.00. This will be:
= $16/2
= $8 per hat
Therefore, it's a proportional relationship.
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The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five number summary for prices based on a sample of major US airlines was: Min
Answer:
Between 100 and 125
Step-by-step explanation:
Given
\(Min =60\)
\(Q_1 = 100\)
\(Median = 110\)
\(Q_3 = 125\)
\(Max =150\)
Required:
Between which values will the box of the box plot will stretch
All box plots stretches between the lower quartile and the upper quartile.
From the question, we have:
\(Q_1 = 100\) ---- lower quartile
\(Q_3 = 125\) ---- upper quartile
Hence, the box will stretch between 100 and 125
A salesman has scheduled two appointments to sell encyclopedias. His first appointment will lead to a sale with probability 0.3, and his second will lead independently to a sale with probability 0.6. Any sale made is equally likely to be either for the deluxe model, which costs $1000 or the standard model, which costs $500.
The probability that the salesman sells a deluxe and a standard encyclopedia on his two appointments is 0.126.
To calculate this probability, we can use the multiplication rule of probability, which states that the probability of two independent events occurring together is the product of their individual probabilities.
Let S1 be the event that the salesman makes a sale on his first appointment, and S2 be the event that he makes a sale on his second appointment. Let D1 be the event that the sale is for the deluxe model, and S1 be the event that the sale is for the standard model.
Then, the probability of selling a deluxe model on the first appointment is 0.3 * 0.5 = 0.15 (since there is a 50% chance of selling a deluxe model). The probability of selling a standard model on the second appointment is 0.4 * 0.5 = 0.3 (since there is a 50% chance of selling a standard model).
Therefore, the probability of selling a deluxe model on the first appointment and a standard model on the second appointment is 0.15 * 0.3 = 0.045. However, this can also occur in reverse order (i.e., selling a standard model on the first appointment and a deluxe model on the second appointment), so we need to double the probability to get the final answer: 0.045 * 2 = 0.09.
Finally, the probability that both events occur (selling a deluxe and a standard encyclopedia on his two appointments) is 0.09 * 2 = 0.126.
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Solve for length of segment c.
11 cm
10 cm
8.8 cm
c = [?] cm
If two segments intersect inside
or outside a circle: ab = cd
Answer:
c = 8
Step-by-step explanation:
Using the Intersecting Chords Theorem, we can form the following equation and solve for c:
\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)
If A=y-4 and B=y+1, find the expression that equals 3A + 2B in standard form.
So, we know that:
A = y-4
B = y+1
We will now substitute and simplify the expression:
3(y-4) + 2(y+1)
3y - 12 + 2y + 2
=> 5y - 10
Write the slope-intercept form of the equation for the line.
Answer:
its 4/2 or simplified to 2/1
Step-by-step explanation:
mark me brainliest pls
Which of the following expressions are perfect-square trinomials? Check all of the boxes that apply.
x²-16x-64
4x2 +12x+9
x+20x+100
x² + 4x + 16
Answer:
The second and the third one
Step-by-step explanation:
4x^2 + 12x + 9 = (2x + 3)^2
x^2 + 20x + 100 = (x + 10)^2
How many triangles can be made given the following angles? 33º. 42º. 66° One triangle More than one triangle No triangle can be made Question 5 (Mandatory) (2 points) Find the scale factor.
Answer:
None
Step-by-step explanation:
The angles 33+42+66 does not add up to 180 degrees which would not make it a triangle at all.
A line that includes the point (-10, -1) has a slope of
of -1/5, what is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Considering the definition of a line, the equation of the line that passes through the point (-10, -1) and has a slope of -1/5 is
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Line in this caseIn this case, you know:
The line has a slope of -1/5.The line passes through the point (-10, -1).Substituting the value of the slope in the expression of a linear equation, y = mx + b, the line has the form: y=-1/5x + b
Replacing the value of the point in the expression of a linear equation, the value of the ordinate to the origin b can be obtained:
-1= -1/5×(-10) + b
-1= 2 + b
-1 -2= b
-3= b
Finally, the equation of the line is y= -1/5x -3.
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What is the equation in slope-intercept form of the line that passes through the point (2,-2) 2 and is perpendicular to the line represented by y = x + 2? A Y EX- су- DY---
Pre - Calculus evaluate exponential derivative at a point !
Answer:
\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)
Step-by-step explanation:
Use Quotient Rule to find f'(x)
\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)
Find f'(1) using f'(x)
\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)
Answer:
\(f'(1)=-\dfrac{9}{e^{3}}\)
Step-by-step explanation:
Given rational function:
\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)
To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.
\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)
\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)
\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)
Therefore:
\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)
\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)
\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)
To find f'(1), substitute x = 1 into f'(x):
\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)
\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)
\(f'(1)=-\dfrac{9}{e^{3}}\)
what is 5x10 I'll give you brainly
Answer:
50
Step-by-step explanation:
Fifty lol Gosh why does my answer have to be 20 characters
Answer:
50
Step-by-step explanation:
Because you just put the zero behind the 5 and it becomes 50
Square ABCD has a side length of 10 centimeters. Find the area of the square. Type a numerical answer in the space provided. Do not include units or spaces in your answer.
Answer:
100
Step-by-step explanation:
Multiply two of the side lengths
10×10 = 100
What is the equation of the line in slope intercept form?
Answer:
y = x + 60
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
Rewrite in logarithmic form 19^2 = 361
Answer:
\(\log_{19}{361}=2\)
Step-by-step explanation:
We know that taking logarithms performs the transformation ...
\(b^e=x\\\\e\cdot\log{b}=\log{x}\quad\text{take logs}\\\\e=\dfrac{\log{x}}{\log{b}}\quad\text{divide by $\log{b}$}\\\\\log_b{x}=e\quad\text{use the change of base formula}\)
Then for b=19, e=2, x=361, we have
\(\boxed{\log_{19}{361}=2}\)
Jo’s rectangular dining room is 8 feet wide and 3 feet long. Mike wants to install a new wood floor and new base boards. It will cost $10.00 per square foot for the new flooring.
a. How many square feet of flooring does Jo need to purchase? SHOW YOUR WORK
b. Use the information from part a to answer, how much will it cost Jo for the new flooring?
SHOW YOUR WORK
Answer:
it is 48
Step-by-step explanation:
the reason it is 48 is because the length is 6 feet and it is 8 wide so 8x6=48
and it would be 480.00$
Conic Sections - Part 1
The endpoints of a diameter of a circle are (6, 2) and (-2,5).
What is the standard form of the equation of this circle?
Enter your answer by filling in the boxes. Enter any fractions in simplified form.
6
Answer:
Step-by-step explanation:
The equation of the circle is
(x – h)²+ (y – k)² = r²
(h, k) = (2, 7/2) and r = 5/2
So,
(x - 2)² + (y - 7/2)² = 24/4
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.
The area of a circle is given as:
We have,
The equation of a circle is represented as,
(x – h)²+ (y – k)² = r²
where (h, k) is the center of the circle and r is the radius of the circle.
The coordinates of the center of the circle can be calculated using the endpoints of a diameter of a circle:
(6, 2) and (-2,5).
The midpoint of the diameter is the center of the circle.
x = (6 - 2) / 2 = 4/2 = 2
y = (2 + 5) / 2 = 7/2
The coordinate of the center of the circle is (2, 7/2).
Distance between (6, 2) and (-2, 5)
= √(-2 - 6)² + (5 - 2)²
= √(64 + 9)
= √25
= 5
The radius of the circle.
= 5/2
Thus,
The equation of the circle is
(x – h)²+ (y – k)² = r²
(h, k) = (2, 7/2) and r = 5/2
So,
(x - 2)² + (y - 7/2)² = 24/4
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4.4s + 6.2 = 8.8s - 1.8
please help
Answer:
s = 1.81
Step-by-step explanation:
4.4(1.81)+6.2=8.8(1.81)-1.8
plug in and multiply if you'd like to clarify :)
Answer:
=Steps
4.4s+6.2=8.8s−1.8
Multiply both sides by 10
4.4s· 10+6.2· 10=8.8s· 10−1.8· 10
Refine
44s+62=88s−18
Subtract 62 from both sides
44s+62−62=88s−18−62
Simplify
44s=88s−80
Subtract 88s from both sides
44s−88s=88s−80−88s
Simplify
−44s=−80
Divide both sides by −44
−44s
−44 =
−80
−44
Show Steps
Simplify
s=
20/11
Step-by-step explanation:
What is the percent of change from 400 to 600
Answer:
I dont speak english so i dont know whats is your question
how do i find x pls help
In the given Quadrilateral, The measure of ∠x=110°.
what are quadrilaterals?
Quadrilaterals are four-sided polygons. They are two-dimensional shapes with four straight sides, four vertices, and four angles which have sum of 360°. Quadrilaterals can have parallel sides, opposite sides that are congruent, opposite angles that are congruent, and diagonals that bisect each other. Some examples of quadrilaterals include squares, rectangles, parallelograms, trapezoids, and rhombuses.
Now,
For given Quadrilateral
three angles given are 128°, 82° and 40° and 4th angle=x°.
To find x
As we know
Sum of all interior angles of a quadrilateral=360°
128°+82° +40° +x°=360°
x=360-250
x=110°
hence,
the measure of ∠x=110°.
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What is the equation of this graph
Answer:
y-1=x^2
Step-by-step explanation:
That is the equation of a parabola with vertex at (0,1). The equation is y-1=x^2.