Final answer:
The equation according to Dolbear's law is T = 0.25x + 40. For 100 chirps, the temperature is 65°F. For a temperature of 96°F, the cricket would make 224 chirps.
Explanation:
According to Dolbear's law, the relationship between the temperature and the number of chirps made by a snowy tree cricket can be used to predict the temperature. We are given that at 50°F, a cricket chirps 40 times in one minute, and for each increase of 0.25°F, there is one additional chirp per minute. To write an equation in slope-intercept form (T = mx + b), where m is the slope and b is the y-intercept, we must find these values. Since we know that 40 chirps correspond to 50°F, we can use this as our starting point (b). Also, because each additional chirp represents a 0.25°F increase in temperature, the slope (m) is 0.25. Therefore, the equation is:
T = 0.25x + 40
If you count 100 chirps in one minute, to find the temperature, simply plug in the value for x in the equation:
T = 0.25(100) + 40
T = 25 + 40
T = 65°
The temperature is 65°F.
If the temperature is 96°F, to find the number of chirps (x), we rearrange the equation to solve for x:
96 = 0.25x + 40
x = (96 - 40) / 0.25
x = 224 chirps
You would expect the cricket to make 224 chirps.
HELP
Given right triangle ABC.
In the given right triangle, find the length of the hypotenuse, AB, if BC = 6 and AC = 5.
A.5
B.√36
C.√61
D.√11
Answer:
Correct answer is option C (√61)
Step-by-step explanation:
in this question we have given a right triangle in which
∠C=[tex]90^{0}[/tex]
BC = 6 and AC = 5
we have to find the length of the hypotenuse, AB=?
To find the the hypotenuse we will apply Pythagoras theorem (According to Pythagoras theorem, "in a right angle triangle, square of hypotenuse is equal to the sum of square of other two sides")
In ΔABC by Pythagoras theorem
[tex]AB^{2}=AC^{2}+BC^{2}[/tex]...................(1)
put values of BC and AC in equation 1
[tex]AB^{2}=5^{2}+6^{2}[/tex]
[tex]AB^{2}=25+36[/tex]
[tex]AB^{2}=61[/tex]
AB=√61
a _____ is a list of things where each thing appears only once and Order matters
Answer: Permutation
Permutation is a way, in which a set or number of things can be ordered or arranged. It is a listing where order matters and each thing in the list of things appears only once.
In Mathematics, permutation is the action of changing the arrangement of a set of items. .It is also called an "arrangement number" or "order
Q # 1 solve the problem
find the center and radius of the circle (x+8)^2+(y-2)^2=25
kirsten has an area of 70 square feet for a flower garden she plants 5 varieties of flowers equally in her garden which ratio shows the square feet per flower type
The Ratio of the square feet to the per flower type is 14 : 1.
What is Ratio?A Ratio shows the relative size of two or more value.
According to the question,
Area of a flower garden = 70 square feet
Number of flower plants varieties = 5
Formula for Perimeter of square = 4a where 'a' is sides of a square
4(a) = 70
a=70/4
a=15
To find the Ratio of the square feet to the per flower type
70 : 5
14 : 1.
Hence, the Ratio of the square feet to the per flower type is 14:1
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hey can you please help me posted picture of question
mean median mode range on 83 75 74 40 85 64 23 68
In the given set, the mean is 64, the median is 66, there is no mode, and the range is 62.
To find the mean, median, mode, and range of the given set of numbers: 83, 75, 74, 40, 85, 64, 23, 68.
1. Mean:
[tex]\[ \text{Mean} = \frac{\text{Sum of all numbers}}{\text{Total number of numbers}} \][/tex]
[tex]\[ \text{Mean} = \frac{83 + 75 + 74 + 40 + 85 + 64 + 23 + 68}{8} \][/tex]
[tex]\[ \text{Mean} = \frac{512}{8} \][/tex]
[tex]\[ \text{Mean} = 64 \][/tex]
2. Median:
The median is the middle number when the numbers are arranged in ascending order.
Arranging the numbers in ascending order: 23, 40, 64, 68, 74, 75, 83, 85
Since there are 8 numbers, the median is the average of the two middle numbers:
[tex]\[ \text{Median} = \frac{64 + 68}{2} \][/tex]
[tex]\[ \text{Median} = 66 \][/tex]
3. Mode:
The mode is the number that appears most frequently.
In this set, there is no number that appears more than once.
So, there is no mode.
4. Range:
The range is the difference between the largest and smallest numbers.
[tex]\[ \text{Range} = \text{Largest number} - \text{Smallest number} \][/tex]
[tex]\[ \text{Range} = 85 - 23 \][/tex]
[tex]\[ \text{Range} = 62 \][/tex]
So, for the given set of numbers, the mean is 64, the median is 66, there is no mode, and the range is 62.
the quotient of a number and 9 is equal to the same number decreased by 40. what is the number
A combination lock requires 4 selections of numbers, each from 1 to 20. • how many different combinations are there? • suppose that the lock is constructed in such a way that no number maybe used twice. how many different combinations are possible?
Nadine has 3 yard of ribbon to wrap birthday party favors if each favor use 1/5 yards of ribbon how many favors can nadine wrap
The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with the tickets sold. $1,760 = $20t. What is the unit rate in the equation above?
Find the perimeter and the area of a rectangle measuring 8 1/4 yd long by 4 1/8 yd wide
list all the possible whole number length and width of rectangles that darla can cut from the 400 square inch piece of paper
Write each of the following expressions without using absolute value. |z−7|−|z−9|, if z<7
Q # 15 please solve
if a horse weighs 500kg and a spider 1g how many spiders weigh the same as one horse??
what number is the opposite of 890
The opposite of 890 is -890, which means -890 added to 890 equals zero.
The opposite of a number is defined as a number that, when added to the original number, results in zero. To find the opposite of a number, you simply change its sign. If the number is positive, the opposite is negative, and if the number is negative, the opposite is positive. Therefore, the opposite of 890 is -890.
what is 0.0003840 expressed in scientific notation
0.0003840
Written in scientific notation!
Move the decimal point.
.00384 x 10^1
.0384 x 10^2
.384 x 10^3
3.84 x 10^4
38.4 x 10^5
write the ratio 41 to 100 as a percent
Answer:
[tex]41\%[/tex]
Step-by-step explanation:
we have the ratio
[tex]\frac{41}{100}[/tex]
To write as percent, multiply the ratio by 100
so
[tex]\frac{41}{100}*100=41*100/100=41\%[/tex]
Which of the following statements is true? If two polygons are similar, then the corresponding sides are proportional and the corresponding angles are proportional. If two polygons are similar, then the corresponding sides are proportional and the corresponding angles are congruent. If two polygons are similar, then the corresponding sides are congruent and the corresponding angles are proportional. None of the choices are correct.
The correct statement is that if two polygons are similar, their corresponding sides are proportional while their corresponding angles are congruent. Similar polygons have the same shape but can have different sizes, and this applies across various geometrical figures and principles, like the Pythagorean theorem in the context of right triangles.
Explanation:The correct statement among the given options is: If two polygons are similar, then the corresponding sides are proportional and the corresponding angles are congruent. When polygons are similar, this means their shapes are geometrically the same but they may differ in size. The ratios of the lengths of corresponding sides of similar polygons are equal, which is true for any pairs of similar polygons, not just triangles. The corresponding angles, on the other hand, are congruent, which means they have the same measure in both polygons.
To explain this concept, we use different examples in geometry. For instance, in similar triangles, not only are the three angles in one triangle congruent to the three angles in the other, but also the sides are proportional, which can be expressed as the ratio of any two corresponding sides in the two triangles being equal. This proportional relationship is a key characteristic of similarity in geometry.
Moreover, a statement like the Pythagorean theorem applies to right triangles, stating that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This theorem is connected to similarity because one can generate a family of similar right triangles by scaling a single right triangle.
Find the length of CE
Hey can you please help me posted picture of question
Corey drew 8 shapes. Four are squares, two are triangles, and the rest are parallelogram. Write two fractions that name the part of the shapes that are quadrilaterals
Nina wants to put color tiles on a square three color tiles fit across the top of the square how many rows and Columns of the squares will Nina need how many color tiles will she use in all
Two urns contain white balls and yellow balls. The first urn contains 5 white balls and 8 yellow balls and the second urn contains 9 white balls and 2 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?
the expression sinx + cotx cosx can be simplified to___. A. cotx B. cscx C. cosx sinx D. secx
Answer:
Solution-
∵ cotx = (cosx÷sinx)
∴ The given expression can be written as
sinx + cotx·cosx = sinx + ( cosx÷ sinx).cosx
⇒sinx +(cosx)²÷sinx = [ (sinx)² + (cosx)²] ÷ sinx
⇒ 1÷ sinx = cosecx = cscx
using the identity (sinx)²+(cosx)²=1
∴ option B is correct.
describe how a company that produce earphones can design a survey
Which conversion requires multiplication? Use the metric table to help answer the question.
Answer:
centimeters to kilometers
Step-by-step explanation:
which of the following is equal to the rational expression when x does not equal to 5 or -1
(x-7)(x+1)/(x+1)(x-5)
a- x+1/x-5
b-x-7/x+1
c- x+1/x-7
d- x-7/x-5
The expression that is equal to the rational expression when x does not equal to 5 or -1 is; (x - 7)/(x -5)
How to simplify Algebraic Expressions?
We want to simplify the algebraic expression;
(x - 7)(x + 1)/(x + 1)(x - 5)
Now, looking at the given expression, we see that (x + 1 ) is common to both numerator and denominator and as such they will cancel out to leave us with;
(x - 7)/(x -5)
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A Fermi estimate is an estimate of a very large number found by using geometry to estimate measurements of a real-world objects
True
or
False
False. A Fermi estimate doesn't rely on geometry. It's a method for approximating large numbers using basic assumptions and math.
False. A Fermi estimate is not reliant on geometry to estimate measurements of real-world objects.
Instead, it's a method for making quick, rough approximations of quantities or numbers, especially when precise data is unavailable or impractical to obtain. Named after physicist Enrico Fermi, this approach involves breaking down complex problems into simpler components, making reasonable assumptions, and using basic mathematics to arrive at an estimate.
While geometry might be employed in some cases, Fermi estimates primarily focus on leveraging broad understanding and educated guesses to reach ballpark figures rather than precise calculations based on specific measurements.