Answer:
18
Step-by-step explanation:
if the scale is 1 to 25, and the 25 is the same as 450, you just divide by the scale 450/25 equals 18
30 POINTS!!!
What is the equation of the line?
y=13x
y=−13x
y = 3x
y=−3x
Answer:
is the equation of the line:
y=-3x
Now write 40,630 in scientific notation.
40,630 =
× 10
Answer:
4.063 * 10^4 or 4.063 times ten the fourth power
Step-by-step explanation:
since 40,630/10^4 = 4.063, and 4.063 * 10^4 = 4.063 * 10000 = 40630
The number of bacteria in a culture is increasing according to the law of exponential growth. After 2 hours, there are 50 bacteria, and after 5 hours, there are 400 bacteria. How many bacteria will there be after 7 hours?
Given:
The number of bacteria in a culture is increasing according to the law of exponential growth.
After 2 hours, there are 50 bacteria, and after 5 hours, there are 400 bacteria.
To find:
The number of bacteria after 7 hours.
Solution:
Let y be the number of bacteria after x hours.
The general exponential growth model is
[tex]y=ab^x[/tex]
where, a is initial value and b is growth factor.
After 2 hours, there are 50 bacteria. So, the point is (2,50). Put x=2 and y=50.
[tex]50=ab^2[/tex] ...(ii)
After 5 hours, there are 400 bacteria. So, the point is (5,400). Put x=5 and y=400 in general exponential growth model.
[tex]400=ab^5[/tex] ...(iii)
Divide equation (iii) by (ii).
[tex]\dfrac{400}{50}=\dfrac{ab^5}{ab^2}[/tex]
[tex]8=b^3[/tex]
Taking cube root on both sides, we get
[tex]b=2[/tex]
Put b=2 in (ii).
[tex]50=a(2)^2[/tex]
[tex]50=4a[/tex]
[tex]\dfrac{50}{4}=a[/tex]
[tex]a=12.5[/tex]
Put a=12.5 and b=2 in (i).
[tex]y=12.5(2)^x[/tex]
This is the equation which represents number of bacteria after x hours.
Put x=7 in the above equation.
[tex]y=12.5(2)^7[/tex]
[tex]y=12.5(128)[/tex]
[tex]y=1600[/tex]
Therefore, the number of bacteria after 7 hours is 1600.
Please help 10 points
Angle Addition Crossword
Find the missing angles. To check the accuracy of your responses,
place your answers in the crossword grid,
Answer:
Step-by-step explanation:
1). m∠AEC = m∠AEB + m∠BEC
= 21° + 37°
= 58°
2). m∠BED = m∠BEC + m∠CED
= 37° + 44°
= 81°
3). m∠IKF = m∠IKH + m∠HKG + m∠GKF
= m∠IKH + m∠HKG + m∠IKH [Since, ∠IKH ≅ ∠GKF]
= 2∠IKH + m∠HKG
103° = 2∠IKH + 41°
2(∠IKH) = 103 - 41
m(∠IKH) = 31°
4). m∠AED = m∠AEB + m∠BEC + m∠CED
= 21° + 37° + 44°
= 102°
5). m∠JKG = 108°
m∠JKG = m∠JKI + m∠IKH + m∠HKG
108° = m∠JKI + 31° + 41°
m∠JKI = 108° - 72°
m∠JKI = 36°
6). m∠HKF = m∠GKF + m∠HKG
= m∠IKH + m∠HKG [Since, m∠GKF = m∠IKH]
= 31° + 41°
= 72°
7). m∠NQO = m∠MQN = 64°
8). m∠JKF = m∠JKI + m∠IKF
= 36° + 103°
= 139°
8). m∠MQO = 2(m∠NQO)
= 2(64)°
= 128°
9). m∠LQO = 156°
m∠LQM = m∠LQO - m∠MQO
= 156° - 128°
= 28°
10. m∠NQP = m∠NQO + m∠OQP
= 64° + m∠LQM [Since ∠OQP ≅ ∠LQM]
= 64° + 28°
= 92°
ml
A prospector graphed the locations of a gold vein and all of the
gold dust strikes in the vicinity. She positioned the gold vein at
(-2,9) and the farthest gold dust strike at (94,9). If each unit on the
graph represents 1 mile, then how far away from the gold vein is
the farthest gold dust strike?
Answer:
The gold vein is 96 miles away from the farthest gold dust strike.
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x,y) and B(w,z), the distance between them is:
[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]
The prospector positioned the gold vein at (-2,9) and the farthest gold dust strike at (94,9). We are required to calculate the distance between these two points. Use the formula:
[tex]d=\sqrt{(9-9)^2+(94-(-2))^2}[/tex]
[tex]d=\sqrt{0^2+96^2}[/tex]
[tex]d=\sqrt{96^2}=96[/tex]
The distance is 96 units, but we know each unit on the graph represents 1 mile, thus the gold vein is 96 miles away from the farthest gold dust strike.
Answer:
he gold vein is 96 miles away from the farthest gold dust strike.
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x,y) and B(w,z), the distance between them is:
The prospector positioned the gold vein at (-2,9) and the farthest gold dust strike at (94,9). We are required to calculate the distance between these two points. Use the formula:
The distance is 96 units, but we know each unit on the graph represents 1 mile, thus the gold vein is 96 miles away from the farthest gold dust strike.
Step-by-step explanation:
Solve the formula D=2a+b for a in general
Answer:
a = (D-b) / 2
Step-by-step explanation:
Goal : move "a" to the left side and everything else to the right side
D=2a+b (swap left and right sides)
2a + b = D (subtract b from both sides)
2a = D - b (divide both sides by 2)
a = (D-b) / 2 (answer)
The solution of the formula expressed 'a' in terms of the variable D and b is given by a = (D - b) / 2.
To solve the formula D = 2a + b for 'a', we need to isolate 'a' on one side of the equation.
Subtract 'b' from both sides of the equation to move it to the right-hand side.
D - b = 2a
To solve for 'a', we need to get rid of the coefficient of 'a', which is 2. Divide both sides of the equation by 2.
(D - b) / 2 = a
The equation (D - b) / 2 = a is the solution for 'a' in general.
formula D = 2a + b, 'D' is expressed in terms of 'a' and 'b'.
To solve for 'a', we want to find an expression that represents 'a' on its own without any other variables on the right-hand side of the equation.
Perform inverse operations to isolate 'a'.
first, move the 'b' term to the right side by subtracting 'b' from both sides. This step ensures that all the terms involving 'a' are on one side of the equation.
Next, divide both sides by the coefficient of 'a', which is 2, to cancel out the multiplication of 'a'.
This step leaves 'a' alone on the left side, thus giving us the solution for 'a'.
Therefore, the required formula is (D - b) / 2 = a, expresses 'a' in terms of 'D' and 'b'.
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Mr. Smith drove 115 miles in 2.5 hours. What proportion is set
up correctly to find n, the number of miles Mr. Smith could
drive in 6 hours?
Answer:
276 miles
Step-by-step explanation:
Mr.Smith can drive 46 miles in one hour. So, 46 times 6 equals 276. So in 6 hours Mr.Smith can drive 276 miles
Answer:
2.5/115, 6/n
its set up like this because 2.5 hours over 115 miles is proportionate to 6 hours over n miles
Solve equation ?
2x - 10 = 10 - 3x
A. 3
B. 2
C. 10
D.
Answer:
x=4
Step-by-step explanation:
I'm good at math.
NEED HELP FAST---------------Slope equals negative 9, y-intercept equals 3------ A.
y equals negative 3 x minus 3
B.
y equals negative 3 x plus 3
C.
y equals negative 9 x minus 3
D.
y equals negative 9 x plus 3
E.
y equals 3 x plus 9
Answer:
y = -9x +3
Step-by-step explanation:
Slope = -9
y intercept = 3
We can use the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -9x +3
Answer:
D. y equals negative 9 x plus 3 (y = -9x + 3)Step-by-step explanation:
given:
slope = -9
y intercept = 3
use the slope intercept form : y = mx + b
m = slope
b = y intercept
just plugin the values into the formula:
y = -9x + 3
I really need help ;-;) pls explain this
Answer: A: 180= 90+4x+x
B: x=18
Step-by-step explanation:
1. Every triangle has a length of 180
2. So all the measurements combined would equal 180
3. So write the equation 180=90+4x+x
4. Let‘s simplfy, 180=90+5x
5. Subtract 90 from each side, 90=5x
6. Divide each side by 5, 18=x.
7. Double check our work! 90+(4*15)+18=180
If x = 3, find a balanced equation among the given equations
a.4x+2=15
b.4(x+1)+3=19
c.3(x+4)=17
d.5x+2=10
Find the perimeter. Simplify your answer.
Answer:
3a+16
Step-by-step explanation:
To find perimeter, you add up the lengths of all of the sides.
a+3
a+5
a+8
You would add all of the sides together to get
a+3+a+5+a+8
Let's add the numbers first
3+5+8=16
Now the letters
there are (3) As
3a
The answer is 3a+16
Hope this helps :-)
(a) What months could this calendar be from? Explain how you know.
(b) If the calendar is from the second half of the year, what is the date
August or January Because
circled in red?
(c) Imagine the circled date is today's date. How old would each of
these people be in years, months and days?
Tim - born 11th July 2013
Sharon-born 2nd April 2006
(i)
/(ii)
How
(iv)
(v)
Caroline - born 27th July 1975
Jack - 18th October 1972
Stefan - 30th September 1966
The answer step by step
Given statement solution is :- The calendar is from the second half of the year, there are two possible months circled in red: August or January. This is because if the calendar is from the second half of the year, the circled date can only be from July to December. Therefore, the options are August (the next month after July) or January (the first month of the following year).
To calculate the age of each person as of the circled date, we need to subtract their birthdates from the circled date and consider the years, months, and days.
i) Tim would be 10 years, 11 months (since the months calculation was negative, we subtracted 1 from the years calculation), and 7 days old.
ii) Sharon would be 17 years, 2 months, and 2 days old.
iv) Caroline would be 48 years, 1 month (since the months calculation was negative, we subtracted 1 from the years calculation), and 23 days old.
v) Jack would be 51 years, 4 months (since the months calculation was negative, we subtracted 1 from the years calculation), and 14 days old.
vi) Stefan would be 57 years, 3 months (since the months calculation was negative, we subtracted 1 from the years calculation), and 26 days old.
(a) To determine the possible months this calendar could be from, we need to look for clues within the given information. Unfortunately, no specific information about the calendar itself is provided. Therefore, we can only make assumptions based on the dates mentioned.
(b) If the calendar is from the second half of the year, there are two possible months circled in red: August or January. This is because if the calendar is from the second half of the year, the circled date can only be from July to December. Therefore, the options are August (the next month after July) or January (the first month of the following year).
(c) To calculate the age of each person as of the circled date, we need to subtract their birthdates from the circled date and consider the years, months, and days.
(i) Tim - born 11th July 2013
Let's assume the circled date is 4th June 2023.
To calculate Tim's age:
Years: 2023 (circled year) - 2013 (birth year) = 10 years
Months: 6 (circled month) - 7 (birth month) = -1 month (Since the circled month is earlier than the birth month, we subtract 1 from the year calculation)
Days: 4 (circled day) - 11 (birth day) = -7 days (Similarly, since the circled day is earlier than the birth day, we subtract 1 from the month calculation)
Therefore, Tim would be 10 years, 11 months (since the months calculation was negative, we subtracted 1 from the years calculation), and 7 days old.
(ii) Sharon - born 2nd April 2006
Using the same circled date of 4th June 2023:
Years: 2023 - 2006 = 17 years
Months: 6 - 4 = 2 months
Days: 4 - 2 = 2 days
Sharon would be 17 years, 2 months, and 2 days old.
(iv) Caroline - born 27th July 1975
Assuming the circled date is still 4th June 2023:
Years: 2023 - 1975 = 48 years
Months: 6 - 7 = -1 month
Days: 4 - 27 = -23 days
Caroline would be 48 years, 1 month (since the months calculation was negative, we subtracted 1 from the years calculation), and 23 days old.
(v) Jack - 18th October 1972
Using the same circled date:
Years: 2023 - 1972 = 51 years
Months: 6 - 10 = -4 months
Days: 4 - 18 = -14 days
Jack would be 51 years, 4 months (since the months calculation was negative, we subtracted 1 from the years calculation), and 14 days old.
(vi) Stefan - 30th September 1966
Assuming the circled date is still 4th June 2023:
Years: 2023 - 1966 = 57 years
Months: 6 - 9 = -3 months
Days: 4 - 30 = -26 days
Stefan would be 57 years, 3 months (since the months calculation was negative, we subtracted 1 from the years calculation), and 26 days old.
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2-9 Write the domain and range for each of the following graphs. Drag the symbols below to answer the domain and range questions.
Answer:
are you a real girl that's question
A package of 8-count AA batteries costs $6.24. A package of 20-count Of batteries costs $15.80. Which statement about the unit prices is true?
A) The 20-count pack of AA batteries has a lower unit price of $0.78 per battery.
B) The 8-count pack of AA batteries has a lower unit prices of $0.78 per battery.
C) The 20-count pack of AA batteries has a lower unit price of $0.79 per battery.
D) The 8-count pack of AA batteries has a lower unit price of $0.79 per battery.
The 8-count pack of AA batteries has a lower unit prices of $0.78 per battery.
Option B is correct.
What is division?Division in mathematics is the process of breaking a number up into equal parts, and finding out how many equal parts can be made. For example, dividing 15 by 3 means splitting 15 into 3 equal groups of 5.
According to the question
Unit price of 8 AA batteries
= 6.24 ÷ 8
= 0.78
Unit price of 20 AA batteries
= 15.8 ÷ 20
= 0.79
Since, 0.78 < 0.79
Therefore, the unit price of 8 AA batteries is low.
Option B is correct.
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10+10
What is this...
Answer:
20
Step-by-step explanation:
For each red t-shirt they manufacture, they should manufacture 4 blue t-shirts. The ratio of the number of the red t-shirts to the number of blue t-shirts should be
Answer: there should be 3 hope this helps
Step-by-step explanation:
Mrs. Perkins makes study guides for her class of 21 students. She uses 252 sheets of paper. How many sheets of paper are in each study guide?
A. 12 sheets
B.231 sheets
C. 273 sheets
D. 5,292 sheets
Step-by-step explanation:
D
can someone please help me :)
Cory is building a model and needs 12 identical rods which are each 3/4 inch long. He wants to cut them all from the same rod. How long of a rod does he need?
Your answer should be 9 inches long
Rotate the following points 90 degrees CLOCKWISE: A(1,2) B(7,5) C(6,9)
Plz help I'm on a major test and I dont have long
Answer:
Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M' (k, -h).
earth is approximately 5x10^9 years old . for which of these ages could this be an a aproxiamation
A . 4,968,000,000 years
B . 45,000,000,000 years
C . 4,531,900,000 years
D. 3.65 x 10 ^ 9 years
E . 4.969999999 x 10^9 years
Answer:
A.
Step-by-step explanation:
Because 5*10^9= 5 Billion, and that's the closest answer.
How do you do this one ?
Answer:
see the attachment for a table
Step-by-step explanation:
You asked "how do you do this one?" My answer to that is, "use a graphing calculator or spreadsheet."
The given formula can be evaluated repeatedly for different values of t quite easily by a graphing calculator or spreadsheet. Enter the formula and have it be applied to the given t-values. A spreadsheet provide cell formatting so that rounding can be to whatever precision you desire.
The values in the table attached will need to be rounded to one decimal place "by hand."
__
Note that we have assumed that H(t) and y(t) are the same function.
Please help me! :(
I don’t understand
Answer:
the answer is 1.25
Step-by-step explanation:
you need to divide the y axis by the x axis for example
5 divided by 4
(9x-9)(9×+9), your finding the difference between two squares. im have some trouble in how to solve it.
Answer: Your answer is 0 (F.O.I.L) first. outer. inner. last. Or you could use what my teacher calls the magic box
Step-by-step explanation:
So for the boxes you multiply for example the top left box you multiply the 9 above it and the 9 to the left or like the top right box you multiply the -9 above it and the 9 on the outside of the box to the left
What is 61.895 rounded to the nearest hundredth? You can use a number line to help you.
Answer:
61.90
Step-by-step explanation:
Answer:
61.9
Step-by-step explanation:
The toco toucan, Ramphastos toco, is the largest member of the toucan family and possesses the largest beak relative to body size of all birds. This exaggerated feature has been interpreted in various ways, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases.
The table provided contains data for beak heat loss, as a percent of total body heat loss, at various temperatures in degrees Celsius:
Temperature (∘C) 1515 1616 1717 1818 1919 2020 2121 2222
Percent heat loss from beak 3232 3434 3535 3333 3737 4646 5555 5151
Temperature (∘C) 2323 2424 2525 2626 2727 2828 2929 3030
Percent heat loss from beak 4343 5252 4545 5353 5858 6060 6262 6262
Required:
a. What is the equation of the least‑squares regression line for predicting beak heat loss, as a percent of total body heat loss, from temperature?
b. What percent of the variation in beak heat loss is explained by the straight‑line relationship with temperature?
Answer:
(a) [tex]\hat y=0.919+2.065x[/tex]
(b) 83.6%
Step-by-step explanation:
(a)
A least square regression line is to be formed for predicting beak heat loss, as a percent of total body heat loss, from temperature.
Use MS-Excel to form the regression line.
Go to Data → Data Analysis → Regression
A dialog box will open.
Select the X and Y variables.
Press OK.
The regression output is attached below.
The equation of the least‑squares regression line is:
[tex]\hat y=0.919+2.065x[/tex]
(b)
The coefficient of determination R² specifies the percentage of the variance in the dependent variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent variable).
Consider the regression output attached below.
The R² value is 0.8360.
That is 83.6% of the variation in beak heat loss is explained by the straight‑line relationship with temperature.
write the phrase as an expression. then evaluate the expression when x=5.
the sum of a number x and 4, all divide by 3
Answer: The Answer is- (4+5) divided by 3
Step-by-step explanation:
b) work out 4 2/5 divided by 1 1/5
Answer - 5 3/5
Work -
Step 1: Turn the mixed numbers into improper fractions
4 2/5 = 22/5
1 1/5 = 6/5
Step 2: Add the improper fractions
22/5 + 6/5 = 28/5
Step 3: Simplify
28 / 5 = 5 R3
So, 5 3/5
