average speed= total distance/total time taken
60+45= 105miles
1 mile= 1.609
105×1.609= 168.945km
168.945/4
Hence answer = 33.79 km/hr
Answer:
To find Alex's average speed for the whole journey, we can use the formula:
Average Speed = Total Distance / Total Time
Let's calculate the total distance traveled first:
Distance1 = 60 miles/hour * 3 hours = 180 miles
Distance2 = 45 miles/hour * 2 hours = 90 miles
Total Distance = Distance1 + Distance2 = 180 miles + 90 miles = 270 miles
Next, let's calculate the total time taken for the whole journey:
Total Time = 3 hours + 2 hours = 5 hours
Now, we can find the average speed:
Average Speed = 270 miles / 5 hours = 54 miles per hour
So, Alex's average speed for the whole journey is 54 miles per hour.
Please mark as Brainliest
What is the missing number in this pattern?
10,
11,
21,
32,
53,
85,
138,
223,
One criterion that we can use to analyze patterns is to look at the difference between consecutive terms. With this, we will see that the missing number is 361.
For the first two we have:
11 - 10 = 1
for the second and third:
21 - 11 = 10
for the fourth and third:
32 - 21 = 11
for the fifth and fourth:
53 - 32 = 21
We already can see the pattern, the n-th term can be written as:
Aₙ = Aₙ₋₁ + Aₙ₋₂
This means that the missing number, the next one, will just be equal to the sum of the two previous ones.
Then the next number is:
N = 138 + 223 = 361
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What two numbers that multiply -30 and add up to -1
Answer: 7
Step-by-step explanation:
Norma has 9 pies to divide equally among 4 friends.how many pies will each friend receive?
Answer:
2.25 pies
Step-by-step explanation:
8/4 = 2
1/4 = 0.25
2+0.25=2.25
or
9/4 = 2.25
The weights of 2-pound bags of best dog food are approximately normally distributed with a given mean mu and standard deviation sigma. according to the empirical rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47.5% 68% 95% 99.7%
The approximately 99.7% of the bags will have lengths within 3 standard deviations.
We have given that the weights of 2-pound bags of best dog food are approximately normally distributed with a given mean and standard deviation.
What is the empirical rule for a normal distribution?The empirical rule for a normal distribution states that approximately all of the data falls within 3 standard deviations of the mean.
So the approximately 68% data falls within 1 standard deviation of the mean.
and the approximately 95% of data falls within 2 standard deviation of the mean.
Now the approximately 99.7% data falls within 3 standard deviation of the mean.
As the weights of 2-pound bags of best dog food are normally distributed,
Therefore, approximately 99.7% of the bags will have lengths within 3 standard deviations of the mean and option D is the correct choice.
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Answer:
option d
Step-by-step explanation:
insert four arithmetic means between -1 and 14
Answer:
The arithmetic means are;
6.5 , 2.75, 4.125 , 4.8125
Step-by-step explanation:
We start by finding the mean of the two numbers;
(14-1)/2 = 13/2 = 6.5
Next;
(-1 + 6.5)/2 = 5.5/2 = 2.75
Next
(2.75 + 5.5)/2 = 4.125
Next;
(4.125 + 5.5)/2 = 4.8125
David's new truck can hold up to 26 gallons of gasoline. David's fuel display shows he has 9.4 gallons left before the tank is empty. David purchases gasoline for for $2.35 per gallon to fill his truck to capacity. How many gallons of gasoline does David purchase?
Answer:
39.01
Step-by-step explanation:
26 - n = 9.4
26 - 9.4 = n
n = 16.6
If you need the cost of all the gallons it costs $39.01
Select all the quadrilaterals that have diagonals which cross at right angles. Please help..
Answer: C and D
Step-by-step explanation:
We need to find all the figures that are rhombuses. These figures are C and D.
The quadrilaterals C and D are those for which the diagonals cross at right angles.
What is a Quadrilateral?Quadrilateral are closed geometrical shapes having four sides, four angles and four vertices. Some of the common quadrilaterals include rectangles, square, parallelogram and the rhombus.
Interior angles of any type of quadrilateral always sums up to 360°.
Diagonals of a quadrilateral is the straight line formed by joining opposite vertices.
For every quadrilateral, there are two diagonals.
Figure A is a rectangle. The diagonals of a rectangle bisects each other, but is not perpendicular bisector. This means that diagonals of figure A does not cross at right angles.
Figure B is a parallelogram. Properties of diagonals are almost same in rectangles and quadrilateral. Diagonals bisect each other, but is not perpendicular. So diagonals of figure B also does not cross at right angles.
Figure C is rhombus. Diagonals of a rhombus perpendicularly bisect each other. Therefore diagonals of figure C cross at right angles.
Figure D is square. Again the diagonals of a square perpendicularly bisect each other. Therefore diagonals of figure D cross at right angles.
Hence diagonals of figures C and D cross at right angles.
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Hello, could anyone please help me with my homework?
Solve for t.
[tex]\mathrm{20=100(\displaystyle\frac{1}{2}) ^{\displaystyle\frac{t}{214} } }[/tex]
Please help!
No spam!
Thank you in advance. :)
Answer: See below
Step-by-step explanation:
[tex]100\left(\frac{1}{2}\right)^{\frac{t}{214}}=20[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}100[/tex]
[tex]\frac{100\left(\frac{1}{2}\right)^{\frac{t}{214}}}{100}=\frac{20}{100}[/tex]
[tex]Simplify[/tex]
[tex]\left(\frac{1}{2}\right)^{\frac{t}{214}}=\frac{1}{5}[/tex]
[tex]\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)[/tex]
[tex]\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\ln \left(\frac{1}{5}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)[/tex]
[tex]\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\frac{t}{214}\ln \left(\frac{1}{2}\right)[/tex]
[tex]\frac{t}{214}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{1}{5}\right)[/tex]
[tex]\frac{\ln \left(\frac{1}{2}\right)t}{214}=\ln \left(\frac{1}{5}\right)[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}214[/tex]
[tex]\frac{214\ln \left(\frac{1}{2}\right)t}{214}=214\ln \left(\frac{1}{5}\right)[/tex]
[tex]-\ln \left(2\right)t=-214\ln \left(5\right)[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-\ln \left(2\right)[/tex]
[tex]\frac{-\ln \left(2\right)t}{-\ln \left(2\right)}=\frac{-214\ln \left(5\right)}{-\ln \left(2\right)}[/tex]
[tex]t=\frac{214\ln \left(5\right)}{\ln \left(2\right)}[/tex] or [tex]\mathrm{Decimal}:\quad t=496.89261\dots[/tex]
Answer:
[tex]\sf t= 496.9[/tex]
solving steps:
[tex]\rightarrow \sf 20=\:100\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}}[/tex]
[tex]\sf \bold{divide \ both \ side \ by \ 100}[/tex]
[tex]\hookrightarrow \sf \dfrac{1}{5} =\:\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}}[/tex]
[tex]\sf \bold{apply \ exponent \ rules}[/tex]
[tex]\hookrightarrow \sf ln(\dfrac{1}{5}) = ln(\:\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}})[/tex]
[tex]\sf \bold{simplify}[/tex]
[tex]\hookrightarrow \sf ln(\dfrac{1}{5}) = \dfrac{t}{214} ln\:\left(\dfrac{1}{2}\right)}[/tex]
[tex]\hookrightarrow \sf \dfrac{ln(\dfrac{1}{5}) }{ln(\dfrac{1}{2})\right)}} = \dfrac{t}{214}[/tex]
[tex]\hookrightarrow \sf \dfrac{214 \ ( \ ln(\dfrac{1}{5}) \ ) }{ln(\dfrac{1}{2})\right)}} = {t}[/tex]
[tex]\hookrightarrow \sf t= 496.9[/tex]
A barrel with a 60 liter capacity is half full. We can transfer all that liquid into 240 bottles with a quarter liter of capacity.
True False
[tex]\frac{1}{4}[/tex]Answer:
False
Step-by-step explanation:
A barrel with a 60 liter capacity is half full, therefore there are 30 liters in the barrel.
If we use 240 bottles with a capacity of 1/4 liters, how many liters do we need to fill the 240 bottles?
240 x [tex]\frac{1}{4}[/tex]L = [tex]\frac{240}{4}[/tex] = 60L
Therefore, it is false because we only have 30 liters, we can't fill the 240 bottles
5.03, 5.00, 4.97, 4.94, __, 4.88 description
some PLEASE help me!! If y = x^2 e^x, then dy/dx =
Answer:
option c
Step-by-step explanation:
if y= x^2 e^x then the derivative is x^2 * e^x + e^x * 2x
take e^x and x as commom so we get e^x * x ( x+2)
PLS HELP ILL GIVE 16 points
54% of people do not have a home phone, if there are 842 people in a small town, how many people does not have a home phone
Answer:
454 people dont have a home phone
Step-by-step explanation:
842/100=8.42
8.42×54= 454.68
you cant have .68 of a person so its 454
Answer:
Please see below.
Step-by-step explanation:
100% = 842
50% = 421
10% = 84.2
1% = 8.42
4% = 33.68
54% = 454.68
You can round up or down to 454 or 455.
Please let me know if I'm incorrect!
If y:28=5:7, find y
Answer:
y = 20
Step-by-step explanation:
[tex]y : 28 = 5 : 7 \\ \\ \frac{y}{28} = \frac{5}{7} \\ \\ y = \frac{5 \times 28}{7} \\ \\ y = 5 \times 4 \\ \\ y = 20[/tex]
find x. thank you !!
Answer:
use Pythagoras theorem to get the x
1x2x3x4x5x6x7x8x9x10
first to answer gets brainliest
Answer:
3628800
Step-by-step explanation:
The product of the numbers 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 is 3,628,800.
1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10
Step 1: Multiply 1 by 2:
1 x 2 = 2
Step 2: Multiply the result by 3:
2 x 3 = 6
Step 3: Multiply the result by 4:
6 x 4 = 24
Step 4: Multiply the result by 5:
24 x 5 = 120
Step 5: Multiply the result by 6:
120 x 6 = 720
Step 6: Multiply the result by 7:
720 x 7 = 5040
Step 7: Multiply the result by 8:
5040 x 8 = 40,320
Step 8: Multiply the result by 9:
40,320 x 9 = 362,880
Step 9: Multiply the result by 10:
362,880 x 10 = 3,628,800
Therefore, the product of the numbers 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 is 3,628,800.
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A certain country has 878.24 million acres of forest. Every year, the country loses 9.98million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 399.2 million acres of forest left? (Use an equation to solve this problem.)
After_______ years, this country would have 399.2 million acres of forest left.
Answer:
48
Step-by-step explanation:
878.24 - 399. 2 = 479.04
479.04 / 9.98 = 48
pls help lots of points!
Answer: the answer is number 4
Step-by-step explanation:44444
\444444444444444444444
Answer: its the third one
Step-by-step explanation: im preety sure thats it
triangle ABC is similar to triangle JKL
solve for a
Answer:
a = j
Step-by-step explanation:
because a and j are written in the same place they are the same
Please answer 20 points
Answer:
16.77ft
Step-by-step explanation:
15. Mr. Ryan at Ryan's Sporting Goods plan
to order 1344 baseballs. Baseballs are
packaged in cartons that each contain
24 baseballs. How many cartons should
Mr. Ryan order?
A 60 RA
BG 56
CO 54
DO 51 R20
Answer:56
Step-by-step explanation: Since there are 1344 baseballs and 24 baseballs in each carton. You divide 1344 by 24 and get 56.
Hope I helped! :)
37 = 78
=
=
=
=
OB
OA. () ° = 73.73.75 = 7.(1 +3 + ) = 7.5 = 7.1 = 7
O B. (73) – 73.78.7) = 7.7) = 3-1.7 = 1.7 = 7
OC (-1) = 73.78.7= 73+3+= 78 = 72 = 7
OD. (-)' = 78.78.74 = 73.3.1 = 78 = 72 = 7
O
=
=
Answer:
C
Step-by-step explanation:
When we multiply numbers of the same base regardless of the exponent, we add the exponents together.
So,
[tex]2 {}^{x} \times 2 {}^{y} = 2 {}^{x + y} [/tex]
Similarly for this case multiplying the 3 7's ^1/3 would simply mean we are adding 3 1/3's together, to get 7^3/3, which is essentially 7^1=7
What does the correlation coefficient of -0.975 on a linear regression indicate?
A.
The slope is positive.
B.
One variable causes the other.
C.
The scatterplot shows no association of the variables.
D.
One variable has a strong relationship with the other.
A correlation coefficient of -0.975 on a linear regression indicates: D. One variable has a strong relationship with the other.
What is Correlation Coefficient?Correlation coefficient, r, is a measure of how strong the relationship between two variables is.
A correlation coefficient, r, that is closer to 1 or -1 signifies a strong relationship between two variables and vice versa.
Therefore, a correlation coefficient of -0.975 on a linear regression indicates: D. One variable has a strong relationship with the other.
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Please help me with this- 20 pts!
Answer:
the pic is hard to see...
Answer:
[tex]part \: a. \\ ans \: is \: x = log_{2}( \frac{5000}{300} )[/tex]
[tex]part \: b. \\ ans \: is \: x = log_{2}( \frac{50}{3} ) = 4.1 \: min[/tex]
Find the measure of each
exterior angle of regular polygonof a 9sides.
Answer:
40
Step-by-step explanation:
Any regular polygon has exterior angles = to 360 / number of sides.
so a 9-gon has 9 sides. The exterior angle = 360 / 9 = 40
Each exterior angle will be 40 degrees.
Try it with simpler n-gons. A triangle has 3 sides. The exterior angle is 360 / 3 = 120
A square has 4 sides. Each exterior angle is 360 / 4 = 90
The ratio of gold beads to black beads on a Mizzou necklace is 2:3. If the necklace has 28 gold beads, how many black beads does it have?
Your family has decided to put a rectangle patio in your backyard similar to the shape of your backyard. Your backyard has a length of 40 feet and a width of 20 ft the length of your patio is 12 feet. Find the perimeter of your new patio.
Answer:
The answer is 80, give me brainliest answer:)
what is 5 divided by (-3)?
but in long division
Answer:
-1.6666...... ( -1.6 recurring)
Step-by-step explanation:
1.666 < Quotient
------------------------------
3 ) 5.000
3 0
20
18
20
18
20
18
The 6 is recurring so the answer is 1,666..... * -1 = -1.666.....
You are trying to order 14 pound of saffron, but the ordering system wants a decimal. What should you type in?
Answer:
1.4x10^1
Step-by-step explanation:
1.4 multiplied by 10 to the power of 1 is 14
You could also just put in 14.0 because that is also a decimal
Hope this helped!
Answer:
1.4
Step-by-step explanation:
An airline wants to survey customers about their overall satisfaction. They take a random sample of 1,000 complete the survey a $25 gift card that can be used almost anywhere.
Which is the answer!!!
The best example of nonresponse bias from the scenario of this airline surveying customers is that Satisfied customers might be less likely to complete the survey than dissatisfied customers.
What is nonresponse bias?Nonresponse bias refers to a situation that arises where people are less inclined to provide feedback because their experience was different from those who did.
Satisfied customers would be less inclined to talk about their overall satisfaction than unsatisfied customers as the latter would use the opportunity to make their dissatisfaction known.
Find out more on nonresponse bias at https://brainly.com/question/25116315.