Answer:
The area increases by 5.46261%
Step-by-step explanation:
Well firstly, the area of an ellipse is not ab, but it's proportional to ab ([tex]\pi ab[/tex] where a and b are the semi-minor and semi-major axes).
This tells us that when a increases by 2.74% and b increases by 2.65% the new area will be:
[tex]A = \pi \cdot (a \cdot 102.74\%)(b \cdot 102.65\%) = \pi a b \cdot 102.74\% \cdot 102.65\% = \pi ab \cdot 105.46261\%[/tex]
The percentage change in area of the ellipse is 5.5%
The area of an ellipse with an axes of length of 2a and 2b is πab.
Area of ellipse = πab
Since a increases by 2.74%, hence a = (100% + 2.74%)a = 1.0274a
Also, b increases by 2.65%, hence b = (100% + 2.65%)b = 1.0265b
Therefore the new area = π * 1.0274a * 1.0265b = 1.055πab
The ratio in the area = 1.055πab/ πab = 1.055
The percentage change in area of the ellipse is 5.5%
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Evaluate f(x)=−5ex+4+3 for x=−6.
Answer:
f(-6) = 30e+7 or 88.55
Step-by-step explanation:
First you want to plug in the -6 into the function getting you:
-5e(-6)+4+3
You can multiply the -5*-6=30
Then add 4+3 giving you 7
So the final answer is 30e+7
Ethan buys a bag of cookies that contains 8 chocolate chip cookies, 7 peanut butter cookies, 7 sugar
cookies, and 7 oatmeal cookies.
What is the probability that Ethan feaches in the bag and randomly selects an oatmeal cookie from the
bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie? Round your answer
to four decimal places.
Answer:
0.0603
Step-by-step explanation:
probabilty ethan picks an oatmeal and peanut butter cookie = probability of selecting an oatmeal cookie x probability of selecting a peanut butter cookie
probability of selecting an oatmeal cookie = number of oatmeal cookies / total number of cookies
probability of selecting a peanut butter cookie = number of peanut butter cookies / total number of cookies
total number of cookies = 7 + 7 + 7 + 8 = 29
probability of selecting an oatmeal cookie = 7/29
probability of selecting a peanut butter cookie = 7/28
after eating oatmeal cookies, the amount of cookies would reduce by 1
7/29 x 7/28
Daria sells televisions. she earns a fixed amount for each television and an additional $15 of the buyer gets an extended warranty. If Daria sells 14 televisions with extended warranties, she earns $1,050. How much is the fixed amount Daria earns for each television?
Solve the system of equations.
2r+3s=-5
3r+5s=-9
Type an ordered pair
Answer:
2r + 3s= 9 <=> -6r -9s = -27;
3r + 2s= 12 <=> 6r + 4s = 24;
=> 0*r -5*s = -3 => s = 3/5;
2*r + 3*(3/5) = 9<=> 10*r + 9 = 45 <=> 10*r = 36 => r = 18/5;
I think I might know but I’m not to sure of my answer.
Answer:
Step-by-step explanation:
10 times
Constance has an apple that weighs 85,000 milligrams and a peach that weighs 0.15 kilograms. Which fruit has the greater mass? Choose the words and numbers to complete the statements. Convert the masses of both fruits to the same unit.
Answer:
The peach will way more then the apple
Hope this helps you ☜(ﾟヮﾟ☜)
The weight of the peach is greater than the weight of apple
What is unit conversion?In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the weight of apple be = 85,000 milligrams
And , let the weight of the peach be = 0.15 grams
Now , from the unit conversion
1 gram = 1000 milligrams
And , 1 kilogram = 1000 grams
So , the weight of apple A = 85 grams
And , the weight of the peach P = 150 grams
Therefore , P > A
Hence , weight of peach is larger
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click image to see it all
9514 1404 393
Answer:
x = 12
y = 4√10
z = 12√10
Step-by-step explanation:
The geometric mean rules apply. Each of the segments labeled with a letter is the geometric mean of the segments it touches on the hypotenuse.
x = √(4×36) = 12
y = √(4×(4+36)) = 4√10
z = √(36×(36+4)) = 12√10
I have 6 congruent faces and 2 bases.
Answer:
A cube
Step-by-step explanation:
A cube has 6 of the same faces and there are 2 bases
Joey ate brunch at a restaurant. The bill came to $39. If he left a 15% tip, how much was the tip?
Answer:
The tip that Joey left was $ 5.85.
Step-by-step explanation:
Given that Joey ate brunch at a restaurant, and the bill came to $ 39, to determine, if he left a 15% tip, how much was the value of it, the following calculation should be performed:
39 x 15/100 = X
585/100 = X
5.85 = X
So, the tip that Joey left was $ 5.85.
A repair engineer charges a customer £50 for every job and £25
for every hour that he works. Which formula could you use to
find how much he charges, C, for h hours of work?
A water station table at a marathon starts with 200 plastic cups on it. Every minute, 15 cups are taken from the table. How many minutes could have passed if there are fewer than 50 cups on the table?
Answer:
is dancing with the circus grows and the mongooses you join us for the circus grows and the mongooses you join us for the circus grows and the mongooses you
State the domain and range of f(x)=[[x-2]]
Answer:
domain: -infinity < x <infinity or (-infinity, infinity)
range: -infinity < f(x) < infinity or (-infinity, infinity)
Step-by-step explanation:
Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4pi
units. The base of cylinder B has an area of 9pi units.
The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?
a- 4/9
b-2/3
c-3/2
d-9/4
Answer:
D
Step-by-step explanation:
Which lines have a y-intercept at (0,4)?
Choose all answers that apply:
А
y=-3x +4
B
y = 4x + 7
y = 5 + 4x
y = 4-2
KHAN ACADEMY
Answer:
y=-3x+4
Step-by-step explanation:
Using the formula y=mx+b
mx= slope b= y-intercept
hence,
y=-3x+4 has a y-intercept of (0,4)
Answer:
A y=3x +4
Step-by-step explanation:
since when x=0 then y will be at +4
Y=3(0)+
The table shows how many children and adults prefer each of two different
fruits. How would you find the joint relative frequency of being a child who
prefers watermelon?
Watermelon
Grapes
Total
Child
132
85
217
Adult
111
117
228
Total
243
202
445
A. Divide 132 by 445.
B. Divide 132 by 243.
C. Divide 243 by 445.
D. Divide 132 by 217
Answer:
B
Step-by-step explanation:
i did the math
The joint relative frequency of being a child who prefers watermelon is 132/445 option (A) Divide 132 by 445 is correct.
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the frequency cell by the total frequency.
To find the joint relative frequency of being a child who prefers watermelon:
Total number of children who prefers watermelon = 132
Total number of children and adults = 445
joint relative frequency of being a child who prefers watermelon:
= 132/445
Thus, the joint relative frequency of being a child who prefers watermelon is 132/445 option (A) Divide 132 by 445 is correct.
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If cos 67° is close to 25, which is closest to the length of NO?
Options
2 centimeters
20 centimeters
40 centimeters
60 centimeters
I really need help I would appreciate it if someone could help me
Answer:
a) The vertex of the graph is [tex](h,k) = (0, 31)[/tex], b) [tex]a = -16[/tex], c) The equation of the parabola is [tex]f(t) = -16\cdot t^{2}+31[/tex].
Step-by-step explanation:
a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.
The vertex of the graph is [tex](h,k) = (0, 31)[/tex].
b) If we know that [tex](h,k) = (0, 31)[/tex], [tex]f(t) = a\cdot (t-h)^{2} + k[/tex] and [tex](t,f(t)) = (1,15)[/tex], then the value of [tex]a[/tex] is:
[tex]f(t) = a\cdot (t-h)^{2} + k[/tex]
[tex]15 = a\cdot (1-0)^{2}+31[/tex]
[tex]15 = a\cdot 1 + 31[/tex]
[tex]a = 15-31[/tex]
[tex]a = -16[/tex]
c) The equation of the parabola is [tex]f(t) = -16\cdot t^{2}+31[/tex].
5+5(6*7)Easy points cause I love y’all pur
Find the volume (in cubic yards) of a cylinder with radius 1.2 yards and height 2.6 yards. (Round your answer to one decimal place.)
Answer: 11.76
Step-by-step explanation:
The formula for cylinder is pi*r^2*h
so substitute and you will get pi*1.44*2.6
Simplify it and you will get 11.75616 or 11.76.
Answer:
11.8 yards
Step-by-step explanation:
write an equation of a line passing thru the point (-4,-11) and perpendicular to the line 4x+5y= -45
Answer:
y = 5/4x - 6
Step-by-step explanation:
First, put 4x + 5y= -45 in y = mx + b form
4x + 5y= -45
5y = -4x - 45
y = -4/5x - 9
So, the slope is -4/5. Perpendicular lines have a opposite reciprocal slope, so the line's slope will be 5/4
To find the equation of the perpendicular line, plug in the slope and given point into y = mx + b, and solve for b
y = mx + b
-11 = 5/4(-4) + b
-11 = -5 + b
-6 = b
Plug in b and the slope into y = mx + b
y = 5/4x - 6
So, the equation is y = 5/4x - 6
find the 12th term in the sequence: 1/16, -1/8, 1/4
Answer:
Step-by-step explanation:
hello :
the sequence is geometric because : (1/4)/(-1/8) = (-1/8)/(1/16)=-2 = r
the nth term is : An =A1 × r^(n-1)
a common ratio is : r and A1 the first term
in this exercice : r =2 A1 = 1/16
when : n =12 you have the 12rd term A12
A12 = 1/16 × 2^(12-1) = 1/16 × 2^(11)
PLEASE HELP ASAP!!!
A group of students must collect at least $120 to organize a science fair. They have already collected $30. Which graph best represents all remaining amounts of money, in dollars, that the students should still collect to organize the science fair? Number line graph with closed circle on 120 and shading to the right Number line graph with closed circle on 90 and shading to the right. Number line graph with closed circle on 150 and shading to the right Number line graph with closed circle on 30 and shading to the right.
Answer:
OPITON 2
Step-by-step explanation:
120-30=90 SHE NEED 90 DOLARS MORE
HEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPP
Answer:
x = 12
Step-by-step explanation:
Given:
m<BCF = 4x°
m<CFE = 11x°
Required:
m<BCF and m<CFE
SOLUTION:
m<BCF + m<CFE = 180° (same side interior angles are supplementary)
Substitute
4x + 11x = 180
15x = 180
Divide both sides ny 15
15x/15 = 180/15
x = 12
HOW DO WE FIND THE PRODUCT OF A FRACTION
Answer:
you have to multiply the given fractions because product means Times
Step-by-step explanation:
In order to find the product of a fraction
you just have to multiply both numerator and denominator, then we reduce it (if needed).
I'll be showing you an example, to see what I'm trying to explain.
we have the fractions:
3/4 x 2/8
(multiply the numerators and denominators)
3 2 6
___ × ___ = ____
4 8 32
we get the answer of 6/32... then we simplify it
the reduced form would be 3/16
Pretty easy question just stuck please help ASAP
Answer:
SA = 300 cubic yards
Step-by-step explanation:
SA = 12(5) + 8(12 + 13 + 5)
PLSSS HELP AND GIVE THE RIGHT ANSWER!!!!!!!!!!!!!!!!!!!
The fourth graders are having lunch in the schoolyard. Two classes of 30 students each, 2 teachers and 2 parents will be there. If 8 people sit at each table, how many tables will be needed for all the people having lunch in the schoolyard?
a) 8
b) 60
c) 64
d) 9
Answer:
8 tables
Step-by-step explanation:
2 class * 30 students + 2 teachers + 2 parents
= 64 people
64 people * 1 table/8 people = 8 tables
Mark brainliest if this helped
Mark brainliest if this helped
Step-by-step explanation:
8 tables because 30+30 =60
and 2+2=4 which is 64 and 8×8=64
Which of the following equations will produce the graph shown below?
6x^2+6y^2=144 is the answer to this question
Step-by-step explanation:
6x^2 + 6y^2 = 144 This is correct for this problem. Pay attention to the numbers on the line before saying its wrong
HELPP ME PLS EMERGENGECY
Step-by-step explanation:
4/52 × 3/52 = .0044
0.44%
At Gms there are 5 females for every 4 males. if there are 372 males, then how many females are there
Answer:
465 females
Step-by-step explanation:
(372/4) x 5 = 465
Answer:
465
Step-by-step ex
The males are multiplyed by 93 so you also multiply the girls by 93
Calculate the perimeter of the above triangle.
10 units
30 units
5:
22.9 units
17.1 units
Step-by-step explanation:
1.
The obvious question to ask in this situation is, “how many miles does Joseph travel on Mondays”? To compute, we each distance: 3 + 6 + 6 = 15.
Joseph travels 15 miles on Mondays.
3.Perimeter means “distance around a closed figure or shape” and to compute we add each length: 3 + 6 + 6 = 15
4.Solution
Just keep adding those side lengths. 6 + 7 + 4 + 4 + 5 + 6 + 2 = 34 units
If you look closely at the shapes in the previous examples, you might notice some ways to write each perimeter as a more explicit formula. See if the results from what we have done so far match the formulas below.