Answer:
Well both zookeepers are correct but the second zookeepers answer was more accurate.
Step-by-step explanation:
The first zookeeper gave the equation :
[tex]x - 41.5 = 13.5[/tex]
So , In order to find Benards speed which is denoted as x , we would still have to collect like terms to isolate x.
The second zookeeper gave the equation :
[tex]41.5 + 13.5 = x[/tex]
In this equation the zookeeper had already isolated x so, only simple addition was needed to find Bernard's speed.
This equation is easier to solve.
Problem A park has a large circle painted in the middle of the playground area. The circle is divided into 444 equal sections, and each section is painted a different color. The radius of the circle is 10 \text{ meters}10 meters10, start text, space, m, e, t, e, r, s, end text. What is the area AAA of each section of the circle? Give your answer in terms of pi. A=A=A, equals \text{m}^2m 2 start text, m, end text, squared
Answer:
25[tex]\pi\ m^2[/tex]
Step-by-step explanation:
Given that:
A large circle in the park has its middle part painted.
The circle is divided in 4 equal parts.
Radius of the circle = 10 meters
To find:
Area of each section of the circle, [tex]A[/tex] = ?
Solution:
Here, we need to find the area of the bigger circle first and then need to divide it into 4 equal parts to find out the answer.
First of all, let us have a look at the formula for area of a circle with given radius [tex]r[/tex]:
[tex]Area = \pi r^2[/tex]
Here, [tex]r = 10 m[/tex]
Putting the value in the above formula, we get:
So, area = [tex]\pi 10^2 = 100\pi\ m^2[/tex]
Now, there are 4 equal parts of the circle, therefore area of each section will be equal.
Area of each section of the circle:
[tex]\dfrac{100\pi}{4} = \bold{25 \pi}\ m^2[/tex]
A consumer group is investigating the relationship between sugar content and number of calories for different brands of cereal. The equation of the line of best fit for the data is y = 4x + 80, where x is the number of grams of sugar and y is the number of calories in one serving.
What is the meaning of the y-intercept in the line of best fit?
A. Out of all the brands of cereal, the greatest number of calories in one serving was 80.
B. The number of calories in one serving is estimated to be 80 if there is 0 grams of sugar.
C. Out of all the brands of cereal, there were 0 brands of cereal that had 80 calories in one serving.
D. The number of calories in one serving is expected to increase by 80 for each increase in 1 gram of sugar.
Answer:
The answer is B
Step-by-step explanation:
B says that 80 grams is what you have if x is 0 which makes more sense than the rest
The statement second states "The number of calories in one serving is estimated to be 80 if there are 0 grams of sugar" option (B) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
We have:
The equation of the line of best fit for the data:
y = 4x + 80
If we put x = 0 then y:
y = 4(0) + 80
y = 80
This means the number of calories in one serving is estimated to be 80 if there are 0 grams of sugar.
Thus, the statement second states "The number of calories in one serving is estimated to be 80 if there are 0 grams of sugar" option (B) is correct.
Learn more about the line of best fit here:
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A car traveled 3⁄4 mile in one minute at constant speed. What was the speed of the car in miles per hour?
Answer:
45 mph
Step-by-step explanation:
3/4x60=45
an=81,d=-3,n=18 solve the question by using formula an=a+(n-1)d
Step-by-step explanation:
An = A + (n - 1)d
We have An = 81, d = -3 and n = 18.
Hence A = An - (n - 1)d = 81 - (17)(-3) = 132.
I WILL GIVE BRAINLEST!!!!!!!!
A dress is on sale for 35% off the regular price. Which expression represents the
price of the dress after the discount? D is to represent the regular price of the
dress after the discount.
A. 0.35d
B. 0.65d
C. 1.35d
D. 1.65d
PLZSSSSSS SHOW YOUR WORK PLZSSSSS
Answer: 0.65d (second choice)
====================================================
Explanation:
If you have a 35% discount, this means you save 35% but still pay 65% of the original price.
Notice how 35%+65% = 100%
Or you can think of it as 100% - 35% = 65%
Then we rewrite 65% into 0.65
If d is the original price, then d*0.65 = 0.65d is the price after the discount.
------------------------------
As a slightly longer alternative method, we can say,
d = original price
discount = 35% of d = 0.35d
final price = d - 0.35d
final price = 1d - 0.35d
final price = (1-0.35)d
final price = 0.65d
15, 45, 70, 30, 120
What is the mean absolute deviation of the 5 text messages?
Answer:
the answer is 56
Step-by-step explanation:
15+45+70+30+120=280
280 divided by 5 is 56
To find the mean absolution deviation you add all the digits and then divide the sum by the amount of numbers displayed
Hope this helps
Have a great day!
plz help me with this
Step-by-step explanation:
numbers 1 4 and 7
The equation, 6x+12=8x-12 has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form x=a.
Final Answer: [tex]x = 12[/tex]
Steps/Reasons/Explanation:
Question: The equation, [tex]6x + 12 = 8x - 12[/tex] has one solution. Solve the equation and show and describe all the steps to show that the solution is of the form [tex]x = a[/tex].
Step 1: Subtract [tex]6x[/tex] from both sides.
[tex]12 = 8x - 12 - 6x[/tex]
Step 2: Simplify [tex]8x - 12 - 6x[/tex] to [tex]2x - 12[/tex]
[tex]12 = 2x - 12[/tex]
Step 3: Add [tex]12[/tex] to both sides.
[tex]12 + 12 = 2x[/tex]
Step 4: Simplify [tex]12 + 12[/tex] to 24.
[tex]24 = 2x[/tex]
Step 5: Divide both sides by [tex]2[/tex].
[tex]\frac{24}{2} = x[/tex]
Step 6: Simplify [tex]\frac{24}{2}[/tex] to [tex]12[/tex].
[tex]12 = x[/tex]
Step 7: Switch sides.
[tex]x = 12[/tex]
~I hope I helped you :)~
Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
Monthly
Pay
1220
1420
1620
1820
2020
2220
2420
50
60
70
The temperature dropped from 67 degrees to 34 degrees. What is the change in temperature?
Answer:
A 33 degree change
Step-by-step explanation:
67-34=33
5x-2x(x-1)=???????????????????????????????
Answer:
7x-2x"2
Step-by-step explanation:
Answer:
it is
7x-2x^2
Step-by-step explanation:
5x+2x-2x^2 = 7x-2x^2
If the perimeter of the triangle is 40 cm, find the area of the triangle.
The area of the triangle is, ? cm2.
Answer:
102 cm²Step-by-step explanation:
Perimeter is:
P = 40 cmand P = 2x - 4 + 5x - 13 + x + 9 = 8x - 8Comparing the value:
8x - 8 = 40 8x = 48x = 8 cmAre formula:
A = 1/2ahReplacing values:
A = 1/2(x + 9)(2x - 4)A = 1/2(8 + 9)(2*8 - 4) = 1/2*17*12 = 102 cm²Answer:
60cm²
Step-by-step explanation:
To find :-
The Area of the triangle .We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .
→ 2x - 4 +5x - 13 + x + 9 = 40cm .
→ 8x - 8 = 40cm
→ 8x = 40+8 cm
→ 8x = 48 cm
→ x = 6cm .
We know that the area of the triangle is half the product of base and height .
Base = x + 9 = 15cm Height = 2x -4 = 8cm .→ A = 1/2 × b × h
→ A = 1/2 × 8cm × 15cm
→ A = 60cm²
please i need help on this question i am not sure what the answer is. help me as soon as possible
Answer:
bail
Step-by-step explanation:
Jalen bought 24 juice packs for $7.20 . Tia bought 6 juice packs for $2.70 . Which statement describes the difference in the unit prices in jalen’s and tia’s juice packs
Answer:
Jalen's purchase unit rate: 0.3
Tia's purchase unit rate: 0.45
0.45 - 0.3 =
Step-by-step explanation:
If a second square window has an area of 100 square inches, what is the length of each side?
Answer:
25
Step-by-step explanation:
25, 50, 75, 100
You want to know the opinions of dog owners across America on the issue of establishing a law requiring individuals who own pit bulls to obtain insurance for their dogs. You obtain a list of all registered dog owners and mail a survey to a random sample of 5,000 owners. Of those, 2,389 responded and 22% say that they favor the law. Which of the following statements is true?
Because random sampling is used, we can feel confident the percentage of all dog owners who say they favor insurance for pit bulls is close to 22%.
Because less than half of those who were mailed the survey actually responded, we can feel fairly confident that the actual percentage of all dog owners who say they favor pit bull owners getting insurance for their dog is close to 22%.
We cannot trust these results because the survey was mailed. Only survey results from face-to-face interviews are considered valid.
The results of this survey may be affected by nonresponse bias.
Answer:
The results of this survey may be affected by nonrepsonse bias
Step-by-step explanation:
Just took this test
Answer:
The results of the survey may be affected by no response bias
Step-by-step explanation:
Look at this set of ordered pairs:
h
(5, 15)
(6,0)
(19, 5)
(-1, 12)
Is this relation a function?
no
yes
Answer:
Yes
Step-by-step explanation:
.......................
what percent of students have played an instrument for 3 years ?
(round tenths)
please help
Answer:
%22.2
Step-by-step explanation:
Plz help fast!
Which type of association does each scatterplot
show?
A. Positive,
B. Negative,
C. No Association.
A scatter plot matrix shows all pairwise scatter plots for many variables. If the variables tend to increase and decrease together, the association is positive. If one variable tends to increase as the other decreases, the association is negative, I hope this helps
2 parts. help plz. show work
Part (a)
Use the slope formula to compute the slope from x = 4 to x = 6
So effectively we're finding the slope of the line through (4,70) and (6,68)
We get the following
m = (y2-y1)/(x2-x1)
m = (68-70)/(6-4)
m = -2/2
m = -1
Repeat for the points that correspond to x = 6 and x = 8
m = (y2-y1)/(x2-x1)
m = (73-68)/(8-6)
m = 5/2
m = 2.5
Now average the two slope values
We'll add up the results and divide by 2
(-1+2.5)/2 = 1.5/2 = 0.75
The estimate of T'(6) is 0.75
This works because T'(x) measures the slope of the tangent line on the T(x) curve. Averaging the secant slopes near x = 6 will help give us an estimate of T'(6), which is the slope of the tangent at x = 6 on T(x).
Answer: 0.75==============================================
Part (b)
The value T'(6) = 0.75 represents the instantaneous rate of change of the temperature per hour.
More specifically, T'(6) = 0.75 means the temperature is increasing by an estimated 0.75 degrees per hour at the exact instant of x = 6 hours. This instantaneous rate of change is like a snapshot at this very moment in time; in contrast, the slope formula results we computed above measure the average rate of change between the endpoints mentioned.
Solve for the value of x.
Answer:
X=63
Step-by-step explanation:
180-134=46
since the sides are same, the angles are 67.
x+4=67
x=63
Hi lol um im confused I will give brainless and im slow so please answer this ? if you know :p
Answer:
27.5 answer B
Step-by-step explanation:
55/200 = .275
Answer:
B is the right answer i guess
Jack is age 45 and owns a self-only high deductible health policy with a $7,000 deductible under his HSA. What is his maximum permitted HSA contribution in 2020?
Answer:
$3350
Step-by-step explanation:
HSA holders have the opportunity to keep a certain amount in reserve up to $3350 for an individual and $6650 for a family. Those that are 55 and older have the opportunity to accumulate an additional $1000 which implies that $4350 per individual and $7650 per family, in which these contributions require 100% tax -deductible at gross income.
Thus, the maximum permitted HSA contribution in 2020 for Jack is $3350.
The maximum permitted HSA contribution in 2020 for jack is $3350.
A health savings account (HSA) is a tax-advantaged savings account a family or individual can use to pay for qualified medical expenses. HSAs are paired with a high-deductible health plan (HDHP) and have annual contribution limits. Each year, the IRS HSA rules adjust the guidelines regarding HDHPs and HSA contribution limits.
HSA holders have the opportunity to keep a certain amount in reserve up to $3350 for an individual and $6650 for a family. Those that are 55 and older have the opportunity to accumulate an additional $1000 which implies that $4350 per individual and $7650 per family.
Hence The maximum permitted HSA contribution in 2020 for jack is $3350.
For more details follow the link:
https://brainly.com/question/26017447
need help asap
hsjshsuehdue
PLEASE HELP!!! 20 POINTS WILL MARK BRAINLIEST
Answer:
d
Step-by-step explanation:
On a Given the planet The weight of an object varies directly with the mass of an object suppose that an object whose mass is 3KG weighs 24N Calculate the mass of another object that weighs 32N
Answer:
im too confused. What am i supposed to be doing?
Step-by-step explanation:
Answer:
The mass =32/24×3
The mass is 4kg
Step-by-step explanation:
**
Please help me out I’m giving you more points! This is really important ❤️ and I’m confused please :))) thank you so very much
Answer: A,C
Step-by-step explanation: They are facing each other making them interior angles
Select all the ratios that are equivalent to 9: 6.
06:9
18:12
13:10
0 3:2
O 7:5
Answers:
18:12
3:2
Step-by-step explanation:
9:6 = 9 * 2 : 6 * 2 = 18:12
9:6 = 9/3 : 6/3 = 3:2
Hope this helps.
Which of the following equations represents the greatest value of x?
Equation 1
Equation 2
Equation 3
Equation 4
x2 = 35
x3 = 64
x3 = 125
x2 = 38
Equation 1
Equation 2
Equation 3
Equation 4
Answer:
equation 3
Step-by-step explanation:
Answer:
Equation 3
Step-by-step explanation:
125/3=41 which is the greatest
(can I get brainliest please)
A student wrote the problem in the box on his homework paper.
Given:6-2(x+7)=10
Step 1: 6-2x+14=10
Step 2:20-2x=10
Step 3:-2x=10
Step 4:x=5
Answer:
fooooot
Step-by-step explanation: