Answer:
a) [tex]s=482moh[/tex]
b) [tex]s'=9mph[/tex]
Step-by-step explanation:
From the question we are told that:
Distance [tex]d=3930mi[/tex]
Time of flight [tex]T=8hr[/tex]
Flight back [tex]T_b=8.3hr[/tex]
Generally the equation for Time for flight with jet steam is mathematically given by
[tex]T=\frac{d}{s+s_1}[/tex]
[tex]8=\frac{3930}{s+s'}[/tex]
[tex]s+s'=491.3 ....equ1[/tex]
Generally the equation for Time for flight against jet steam is mathematically given by
[tex]T=\frac{d}{s-s_1}[/tex]
[tex]8.3=\frac{3930}{s-s_1}[/tex]
[tex]s+s'=473.5......equ 2[/tex]
Solving equ 1 and equ 2 simultaneously
[tex]s+s'=491.3[/tex]
[tex]s+s'=473.5[/tex]
Therefore
[tex]s=482moh[/tex]
[tex]s'=9mph[/tex]
What is the solution to this equation?
log_8 16 + 2log_8x =2
The value of x for the given equation [tex]log_{8}[/tex](16) + 2[tex]log_{8}[/tex](x) = 2 will be 2 so option (B) must be correct.
What is a logarithm?The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
Given the equation
[tex]log_{8}[/tex](16) + 2[tex]log_{8}[/tex](x) = 2
We know that,
xlogb = log[tex]b^{x}[/tex]
So,
2[tex]log_{8}[/tex](x) = logx²
For the same base
logA + logB = log(AB)
So,
[tex]log_{8}[/tex](16) + [tex]log_{8}[/tex](x)² = 2
[tex]log_{8}[/tex](16x²) = 2
We know that
[tex]log_{a}[/tex](b) = c ⇒ b = [tex]a^{c}[/tex]
so,
[tex]log_{8}[/tex](16x²) = 2 ⇒ 8² = 16x²
x = 2 hence x = 2 will be correct answer.
For more about logarithm
https://brainly.com/question/20785664
#SPJ2
Hi I need help with this question please!!! I don’t understand it :/
Answer:
- 22.5
Step-by-step explanation:
Substitute x = 3 into f(x) and x = 16 into h(x) , then
[tex]\frac{1}{2}[/tex] g(3) - h(16)
= [tex]\frac{1}{2}[/tex] × - 3(3)² - (2[tex]\sqrt{16}[/tex] + 1)
= [tex]\frac{1}{2}[/tex] × - 3(9) - (2(4) + 1)
= [tex]\frac{1}{2}[/tex] × - 27 - (8 + 1)
= - 13.5 - 9
= - 22.5
If a = 1/2, then a^2=
(A) -1
(B) 4
(C) 0
(D) 1
Answer:
1/4
Step-by-step explanation:
a^2
Let a= 1/2
(1/2)^2
(1/4)
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{a^2}\\\\\mathsf{= \ (\dfrac{1}{2})^2}\\\\\mathsf{= \ \dfrac{1}{2}\times\dfrac{1}{2}}\\\\\mathsf{= \ \dfrac{1\times1}{2\times2}}\\\\\mathsf{= \ \bf \dfrac{1}{4}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, the ANSWER is: }\boxed{\mathsf{\bf \dfrac{1}{4}}}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
How do I solve this math equation: 7=8-p
Answer:
p = 1
Step-by-step explanation:
7 = 8 - p
7 + p = 8
p = 8-7
p = 1
Answered by Gauthmath
Which are vertical angles?
Answer:
The top answer is correct
Step-by-step explanation:
Vertical angles are formed when two lines meet each other at a point and they are always equal to each other. Their angles are also equal. In this problem number two has angles that do not match and number three also has different angles. Finally number four also has different angles and is not equal to each other. Leaving number one (the top answer) which looks to have the same angle, and is equal to each other.
Solve the equation sine Ф=0.6792 for 0°≤Ф≤360
Answer:
42.78⁹, 137.22⁹.
Step-by-step explanation:
sine Ф=0.6792
Angle Ф in the first quadrant = 42.78 degrees.
The sine is also positive in the second quadrant so the second solutio is
180 - 42.78
= 137.33 degres.
The average net primary production in tropical rain forests each year is 8,900 kilocalories per square meter. If the total net primary production of a selected portion of a tropical rain forest in a given year is 1.8*10^ 8. kilocalories, what is the approximate total area, in square meters, of the selected portion?
A) 4.9 * 10 ^ 3
B) 1.6 * 10 ^ 4
C) 2.0 * 10 ^ 4
D) 1.6 * 10 ^ 12
Answer:
C: 2 × 10⁴
Step-by-step explanation:
We are told that the average net primary production in tropical rain forests each year is 8,900 kilocalories per square meter.
Thus;
P_net,average = 8900 Kcal/m²
We are also told that net primary production of a selected portion of a tropical rain forest in a given year is 1.8 × 10^(8) kilocalories.
Thus;
P_net = 1.8 × 10^(8) Kcal
To get the average, the formula is;
P_net,average = P_net/Area
Thus;
Area = P_net/P_net,average
Plugging in the relevant values;
Area = (1.8 × 10^(8))/8900
Area ≈ 2 × 10⁴ m²
Can someone help me in this plz
Answer:
a =2 5
b =50
Step-by-step explanation:
To solve 2x=8 you need to divide by what number?
PLEASEEEE HELP
Answer:
divide by 2
Step-by-step explanation:
to find x you must divide 8 by 2.
Answer:
you divide 8 by 2
Step-by-step explanation:
To isolate the variable, x you need to divide by 2 on both sides so it cancels out the 2 on 2x and will divide 8 by 2=4
Tom received a $70 gift card for a cafe. He used it to buy some coffee that cost $7.73 per pound. After buying the coffee, he had $23.62 left on his card. How many pounds of coffee did he buy.
Answer: He bought 6 pounds of coffee.
Step-by-step explanation:
Money he have = 70
money he used to buy = 70.00 - 23.62 = 46.38
so
7.73 dollar = 1 pound
1 dollar = 1/(7.73) = 100/773 pound
46.38 dollar = (100/773) * 46.38 = 6 pound
Can u help sold this
Answer:
0
Step-by-step explanation:
To calculate the slope or gradient we use this formula:
Slope = y2-y1/x2-x1
(-3,2) = (x1, y1)
(4,2) = (x2, y2)
Slope = 2-2/4-(-3) = 0
Answer from Gauthmath
Answer:
[tex]we \: know \: that \: slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{2 - 2}{4 - - 3} \\ = \frac{0}{7} = 0 \\ slope \: = 0 \\ thank \: you[/tex]
Given a right triangle with an acute angle Θ , if sin Θ = cos Θ , describe what this triangle would look like.
For sinø = cosø, ø = 45°. Because it is right, it is also a right, isosceles triangle
... 2.........5
16--- + 6---
.....3.........8
I need this answer fast pls
Answer:
what is that? I can't understand it.
4.Find the first five terms of the recursive sequence
Answer:
5, 12, 19, 26, 33
Step-by-step explanation:
Using the recursive rule and a₁ = 5 , then
a₂ = a₁ + 7 = 5 + 7 = 12
a₃ = a₂ + 7 = 12 + 7 = 19
a₄ = a₃ + 7 = 19 + 7 = 26
a₅ = a₄ + 7 = 26 + 7 = 33
The first 5 terms are 5, 12, 19, 26, 33
Would appreciate the help please!
Answer:
DF
Step-by-step explanation:
The side opposite the largest angle has the longest measurement
<E has the largest measurement so DF is the longest side
Identify f? 6(3f - 15)
Answer:
[tex]6(3f-15)=90[/tex]
[tex]3f=90/6+15=30[/tex]
[tex]f=10[/tex]
---------------------------
Hope it helps...
Have a great day!!
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{6(3f - 15) = 90^\circ}\\\\\huge\text{DISTRIBUTE}\\\\\mathsf{6(3f) + 6(-15) = 90^\circ}\\\\\mathsf{18f - 90 = 90^\circ}[/tex]
[tex]\text{NEW EQUATION: }\mathsf{18f - 90 = 90}[/tex]
[tex]\huge\text{ADD 90 to BOTH SIDES}[/tex]
[tex]\mathsf{18f - 90 + 90 = 90 + 90}[/tex]
[tex]\textsf{CANCEL out: -90 + 90 because that gives the number of 0}[/tex]
[tex]\textsf{KEEP: 90 + 90 because it helps solve for the f-value}[/tex]
[tex]\mathsf{90 + 90 = \bf 180}[/tex]
[tex]\huge\text{NEW EQUATION:\textsf{ 18f = 180}}[/tex]
[tex]\huge\text{DIVIDE 18 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{18f}{18}=\dfrac{180}{18}}[/tex]
[tex]\mathsf{CANCEL \ out: \dfrac{18}{18}\ because \ that \ gives \ the \ number \ of\ 1}[/tex]
[tex]\mathsf{KEEP: \dfrac{180}{18} \ because \ that \ gives \ the\ f-value \ result}[/tex]
[tex]\mathsf{f = \dfrac{180}{18}}[/tex]
[tex]\huge\text{SOLVE ABOVE \& YOU HAVE THE RESULT}[/tex][tex]\huge\text{OF THE F-VALUE}[/tex]
[tex]\mathsf{\dfrac{180}{18}}[/tex]
[tex]\mathsf{= \bf 18}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Therefore, your ANSWER is: \bf f = 10}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which of the following is the product of the rational expressions shown
below?
3
2x
O A.
21
2x + 4
21
2x2 + 4x
O c.
42
2x + 4
D.
42
2x² + 4x
Answer:
The answer is "B"
Step-by-step explanation:
The explanation is in the picture!
Solve for x. round to the nearest tenth, if necessary.
Answer:
29
Step-by-step explanation:
all in all it is 180 so 61 + m (which is 90 because it is a right angle)=151
then 180-151=29
What set of transformations are applied to parallelogram ABCD to create A’B’C’D’
I need help with this math problem
GP
We have
(a + bx) / (a - bx) = (b + cx) / (b - cx)
==> (a + bx) (b - cx) = (a - bx) (b + cx)
==> ab + (b ² - ac) x - bcx ² = ab + (ac - b ²) x - bcx ²
==> (b ² - ac) x = (ac - b ²) x
==> b ² - ac = ac - b ²
==> 2b ² = 2ac
==> b ² = ac … … … [1]
Similarly, you would find
(a + bx) / (a - bx) = (c + dx) / (c - dx)
==> ad = bc … … … [2]
and
(b + cx) / (b - cx) = (c + dx) / (c - dx)
==> c ² = bd … … … [3]
Now:
c ² = bd ==> b = c ² / d
b ² = ac ==> c = b ² / a
ad = bc ==> d = bc / a
and we find
d / c = (bc / a) / (b ² / a) = c / b
and
c / b = (b ² / a) / (c ² / d) = (b ² d) / (a c ²) = b / a
which is to say, the ratio between d and c is equal to the ratio between c and b, and also equal to the ratio between b and a. Therefore (a, b, c, d) are in a geometric progression.
The following geometric sequences represent the populations of two
bacterial cultures at the 1-hour mark, the 2-hour mark, the 3-hour mark, and so
on. Culture A starts with more bacteria, but culture B has a ratio of increase
that is larger. Which culture will have the greater population at the 18-hour
mark?
Culture A: 400, 600, 900, 1350,...
Culture B: 5, 10, 20, 40,...
A. Culture A
B. Culture B
Which is equivalent to 3√8 1/4x?
Answer:
[tex]{ \tt{ \sqrt[3]{8} {}^{ \frac{1}{4} x} }} \\ = { \tt{ {8}^{( \frac{1}{4}x) \frac{1}{3} } }} \\ = { \tt{ {8}^{ \frac{1}{12} x} }} \\ = { \tt{ \sqrt[12]{8} {}^{x} }}[/tex]
Answer:
[tex]\sqrt[12]{8^{x} }[/tex]
Step-by-step explanation:
[tex]\sqrt[12]{8^{x} }[/tex]
How can 65% be broken down with friendly percents to find 65% of a number?
A. 25% + 25% + 10%
B. 25% + 10% + 10% + 10% + 10%
C. 50% + 10%
D. 50% + 25%
PLz Help Thx :>
Answer:
10%
Step-by-step explanation:
Answer:
given that the only one that actually adds up to 65%
is B....
B. 25% + 10% + 10% + 10% + 10%
Step-by-step explanation:
lll give brainliest
What is the slope of a line that runs parallel to y = -x + 7? Use a number to fill in the blank.
Answer:
Lines parallel to this line will have a slope of -1
Step-by-step explanation:
y = -x + 7
This line is in slope intercept form
y = mx+b where m is the slope
The slope is -1
Parallel lines have the same slope
Lines parallel to this line will have a slope of -1
Answer:
-1
Step-by-step explanation:
Parallel lines have the same slope
The equation y = -x + 7 has a slope of -1 meaning that a line parallel to it would also have a slope of -1
!PLEASE HELP!
In angle ABC, AB = 2 and AC = 11. Find m
A.38
B.10
C.22
Answer:
10 digress when converted to nearest digree
What is the slope of the line that contains the points in the table?
х
У
15
-2
9
ON
3
4
-3
O A. 3
O B. -6
O c. 2
O D. -3
Answer:
https://www.dasd.org › 4444PDF
Web results
Entering Algebra 2: Answer Key
Instructions: Find the lengths of the other two sides of the isosceles right triangle below.
Given:
The ratio of 45-45-90 triangle is [tex]x:x:x\sqrt{2}[/tex].
The hypotenuse of the given isosceles right triangle is [tex]7\sqrt{2}[/tex].
To find:
The lengths of the other two sides of the given isosceles right triangle.
Solution:
Let [tex]l[/tex] be the lengths of the other two sides of the given isosceles right triangle.
From the given information if is clear that he ratio of equal side and hypotenuse is [tex]x:x\sqrt{2}[/tex]. So,
[tex]\dfrac{x}{x\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]
[tex]\dfrac{1}{\sqrt{2}}=\dfrac{l}{7\sqrt{2}}[/tex]
[tex]\dfrac{7\sqrt{2}}{\sqrt{2}}=l[/tex]
[tex]7=l[/tex]
Therefore, the lengths of the other two sides of the given isosceles right triangle are 7 units.
Bagels cost 35p each how much is 6?
Answer:
1 = 35p
6 = 35p×6
= 240p
Therefore, 6 bagels cost 240 p
HELPP PLEASEEEEEEEEEEE
Answer:
A) 14
B) 48
Step-by-step explanation:
[tex]x^{a}[/tex] · [tex]x^{b}[/tex] = [tex]x^{a+b}[/tex]
[tex](x^{a}) ^{b}[/tex] = [tex]x^{ab}[/tex]
classify the following as a chemical or physical: hydrogen gas is very explosive
Answer:
chemical
Step-by-step explanation:
