Answer:
Step-by-step explanation:
Distance = Speed * time
If a bird leaves it's nest and travels 15 miles per hour downwind for x hours, the distance covered will be:
D = 15x
x = D/15 ....... 1
If on the return trip, the bird travels 3 miles per hour slower and has 2 miles left after x hours
Her speed = 15 - 3 = 12mi/hour
If she has 2 miles left after x hours, new distance will be D-2, using the formula for distance:
D+2 = 12x
x = D-2/12 ....... 2
Equate 1 and 2:
D/15 = D-2/12
Cross multiply
12D = 15(D-2)
12D = 15D - 30
12D-15D = -30
-3D = -30
D = 10 miles
The distance for the entire trip will be D + (D-2) = 10 + (10-2)
= 10 + 8
= 18 miles
To get the time x, we will substitute D = 10 into equation1
D = 15x
10 = 15x
x = 10/15
To minutes
x = 10/15 * 60
x = 40 minutes
For the going trip
Time taken = x hours
Return trip = x hours
Total time for the entire trip = x+x = 2x
= 2(40)
= 80 minutes
Hence the total time taken for the entire trio will be 1 hour 20minutes
‼️NEED HELP ASAP‼️
find f'(x) for f(x) = ln(x^4 + e^2x)
Answer:
We can do this with u substitution
[tex]f(x) = ln(x^4+e^2^x)\\u = x^4+e^2^x\\f(x) = ln(u)\\f'(x) = \frac{u'}{u} \\u' = 4x^3 + 2e^2^x \\f'(x) = \frac{4x^3 + 2e^2^x}{x^4+e^2^x}[/tex]
we can't simplify further
question attached through picture
Step-by-step explanation:
(1/n)^-2/3
= n^2/3
= 3 root of n^2
solution is 3)
Lisa wants to glue decorative paper onto the block. What is the total surface area that Lisa would need to cover?
my sister asked if you guys can solve this out for her. thanks
Answer:
Part 1: 10, Part 2: 6
Step-by-step explanation:
is 10/2 an irrational number?
Answer:
yes it is because it is expressed in the form of a p/q
Step-by-step explanation:
If a number is expressed in the form of p/q then it is a rational number. Here p and q are integers, and q is not equal to 0. A rational number should have a numerator and denominator. Examples: 10/2, 30/3, 100/5.
so yes 10/2 is a rational number
oh and i mean yes its rational no its not irrational :)
No, it is not an irrational number.
Irrational numbers are those who cannot be turned into a fraction.
10/2 is a fraction. Therefore, it is a Rational number.
[tex]Edit:\;Also,\;if\;you\;were\;to\;make\;it\;a\;whole\;number\;then\;it\;would\;be\:5.[/tex] [tex]Which\;can\:be\;turned\;into\;5/1.[/tex]
To do so, divide the numerator (Top number) by the denominator (Bottom number).
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$ sign, 7, point, 50 delivery fee and 14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60sign, 60. Each pizza is cut into 8 slices, and she wonders how many total slices she can afford. Let P represent the number of pizzas that Jacque buys. 1) Which inequality describes this scenario?
Answer: 7:50 + 14P<60
The slices I don’t know so find out yourself
Step-by-step explanation: I got it wrong and saw the right answer
Help with these math questions grade 12
Answer:
1. 15.1%
2. 8.3%
3. 12%
4. 25%
Step-by-step explanation:
1.
percent change = (new number - old number)/(old number) * 100%
percent change = (21300 - 18500)/(18500) * 100%
percent change = 15.1%
A positive percent change is a percent increase.
Answer: The percent increase is 15.1%.
2.
percent change = (new number - old number)/(old number) * 100%
percent change = (298000 - 325000)/(325000) * 100%
percent change = -8.3%
A negative percent change is a percent decrease.
Answer: The percent decrease is 8.3%.
3.
percent change = (new number - old number)/(old number) * 100%
percent change = (110 - 125)/(125) * 100%
percent change = -12%
A negative percent change is a percent decrease.
Answer: The percent decrease is 12%.
4.
percent change = (new number - old number)/(old number) * 100%
percent change = (1500 - 2000)/(2000) * 100%
percent change = -25%
A negative percent change is a percent decrease.
Answer: The percent decrease is 25%.
evaluate the expression when a=32 and b=7 a/4 +b
HELP PLEASE!!
Select the equation of the line parallel to y=-4x-6 the
equation and that passes through the point (1, 2).
O y=-4x+6
O y=4x-4
O y=-4x-4
O y = 4x+6
Answer:
[tex]y=-4x+6[/tex]
Step-by-step explanation:
If you are looking for a parallel line with just the equation then look for an equation with the same slope and different Y intercept. After you find that just check and see if it passes the coordinate.
[tex]2=-4(1)+6[/tex]
[tex]2=-4+6[/tex]
[tex]2=2[/tex]
If it works you have your answer!
The equation of the line parallel to y = -4x - 6 and passing through (1, 2) is
y = -4x + 6.
The slope of y = -4x - 6 is -4.
passing through the point (1, 2)
the new line is parallel to the original line, it will have the same slope (-4).
Use the point-slope form of a linear equation to write the equation of the new line. The point-slope form is y - y1 = m(x - x1), where m is the slope, and (x1, y1) is the given point.
substituting values,
y - 2 = -4(x - 1)
y - 2 = -4x + 4
y = -4x + 6
learn more about slope here
brainly.com/question/2491620
#SPJ2
6 inches for every horizontal change of 12 inches
A line passes through the point (8,-7) and has a slope of -1/3 write an equation in slope intercept form for this line
Answer:
y= -1/3x-13/3
Step-by-step explanation:
(Refer to picture)
Use the general point-slope formula and plug in y1 and x1, then simplify
(I hope my handwriting isn't too bad, is so, I'll clarify any numbers you can't read.)
The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal. What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?
Answer:
$80
Step-by-step explanation:
From the question, we are given The simple interest formula as I = Prt,
where l = simple interest on an amount= $40
t= years=5years
at a rate r= 10%
The rate= 10/100= 0.1
Then since we are looking for P, we can make P subject of formula from this expression;
I = Prt
P=I/rt
P= 40/(0.1 ×5)
P= 40/0.5
P= 80
therefore, the amount of money p that is needed is $80
Answer:
the answer would be $80. :)
Step-by-step explanation:
HELP ME ASAP BRO THIS IS DUED BY TONIGHT, LITERALLY ANYONE OUT THERE
SHOW THE WORK BRO PLEASEEEE
What is the value of x?
Answer:
14
Step-by-step explanation:
∠AOB is a straight angle, meaning that it is 180°. Since ∠AOC, ∠COD, and ∠DOB are within ∠AOB, the sum of all of the angles is equal to 180°.
∠AOC + ∠COD + ∠DOB = ∠AOB
(5x) + (3x + 30) + (2x + 10) = 180
5x + 3x + 30 + 2x + 10 = 180
10x + 30 + 10 = 180
10x + 40 = 180
10x + 40 - 40 = 180 - 40
10x = 140
10x/10 = 140/10
x = 14
Given hexagon jklmno ~ hexagon pqrstu, Lk=15, JO=23, and QR=2, find the scale factor from jklmno to pqrstu. Give your answer in decimal form rounded to the nearest hundredths
Answer:
ghjkghhjkghjkghjk
Step-by-step explanation:
Which statement best describes the intersection of three planes?
A) The planes could form one or two lines.
B) The planes could form one, two, or three lines.
C) The planes will form two lines.
D) The planes could form one, two, or three lines, or they could intersect at exactly one point.
Answer:
D
Step-by-step explanation:
from what I could tell, it sounds like D would be correct
these triangles are congruent by the triangle congruence postulate
Answer: SSS
Step-by-step explanation:
SSS because we see no angles, and we know the triangles are congruent. B and C are eliminated which leaves SSS as the right choice.
A multiplication table. In the row labeled 3, the numbers 9, 12, 15, and 18 are highlighted. Consider the highlighted products. The common factor is _____.
Answer: 3 for edgenuit y
Step-by-step explanation:
From 80 pencils to 152 pencils
Answer:
72
Step-by-step explanation:
152
- 80
72
Bring down the 2. Then make the 5 a 15 from taking away from the 1 making that a zero. Then Subtract 8 from 15 that makes 7. So it is 72.
:) I Hope you enjoy:)What is the value of n in the equation -1/2 (2n + 4) + 6 = -9 + 4(2n + 1)?
n =
Answer:
n=1
Step-by-step explanation:
Answer:
n=1
Step-by-step explanation:
Evaluate the expression for x=5, y=-3 and z=7
x + y + z
Answer:
5
Step-by-step explanation:
(Refer to image)
Replace the numbers with the variables and solve using order of operations
Answer:
9
Step-by-step explanation:
convert all the value for x,y,z
5+-3+7
5+-3= 2+7 = 9
I used to decreased the negative 3 to 5 because of the sign negative attached beside the 3. but why the answer becomes to be positive 2? because the positive number which is 5 is greater than the negative 3 in the given.
I hope it helped you.
Determine whether the given function is even,odd,or neither f(x)=2x^2+x^4
Select the correct answer. The equation of a line in the point-slope form is show below. y - 9 = ls 1/5(x - 2) What is the slope of this line?
Answer Choices:
A. 2
B. 1/9
C. 5
D. 1/5
Answer:1/5
Step-by-step explanation:
ANSWER ASAP PLEASE I WILL GIVE BRAINLIEST TO FIRST ANSWER!!!!
Which one would you choose? Explain your reasoning.
1. A 5-pound jug of honey for $15.35
2. Three 1.5-pound jars of honey for $13.05
Answer:
Three 1.5-pound jars of honey for $13.05
Step-by-step explanation:
15.35/5 = 3.07
3x1.5=4.5
13.05/4.5 = 2.90
a= 18 in.
C = 82 in.
What is the length of b?
Answer:
B should equal 80
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
Use Pythagorean theorem so 18^2 +b^2 =82^2 which is 324 +b^2=6724 then subtract 324 on both sides then square root which is 80
If a loaf of bread was priced $1.50 on one day and $1.20 the next, what is the percent decrease
of the price of the loaf of bread?
Answer:
20 percent decrease
Step-by-step explanation:
0.15 cents is 10 percent of 1.50, and that multiplied by 2 is 0.30 cents. 0.30 cents is equal to 20 percent, and the difference between 1.50 and 1.20 is 30 cents.
Zn + 2HCI ZnCI2 + h2
Based on the reaction shown above, which statement best supports the law of conservation of mass?
There are more chlorine atoms in the reactant.
There are more hydrogen atoms in the product
The number of chlorine atoms is unequal in the reactants and products
.
The number of reactant atoms is equal to the number of product atoms.
Answer:
The number of reactant atoms is equal to the number of product atoms.
Step-by-step explanation:
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
please..
Answer:
53 1/5
Step-by-step explanation:
Make 5 7/10 and 9 1/3 into a fraction which is 57/10 and 28/3
Then multiply the numerators together and the denominators which gives you 1596/30
Simplify by dividing it by 6 getting 266/5
Change to a mixed number 53 1/5
y= 2x² + 36x + 170
(Find the vertex, show steps)
1. Kirk is getting a raise of 5% due to inflation. His
normal salary is $56,000 per year. Which of the
following calculations gives Kirk's new salary, in
dollars?
A. 56,000 + 5
B. 56,000 + 56,000(0,05)
C. 56,000 + 56,000(0.50)
D. 56,000 + 56,000(5)
E. 56,0000.05)
The total budget for a landscaping project was $349.02, and the project called for 42 plants. What is the average cost per plant? Explain the method used for solving the problem.
Answer:
$8.31
Step-by-step explanation:
you have your budget of $349.02 that's for 42 trees you are deciding tour budget by 42 giving you $8.31 per tree.