PLEASE ANSWER 20 POINTS
The following steps show how the equation for the average rate can be transformed so that it is written in terms of only the rates for each leg of the trip. Write an algebraic justification for each step. Think about the number operations and properties that you know.
Answer:
Step-by-step explanation:
Step 1:
Sum of fractions in the denominator making cross product:
d / r1 + d / r2
Resulting:
d * r2 + d * r1 / (r1 * r2)
Step 2:
Multiply numerator and denominator by the following expression:
(r1 * r2) / (d * r2 + d * r1)
Step 3:
Take common factor in the denominator of the expression in step 2.
Resulting:
(d * r2 + d * r1) = d * (r2 + r1)
need help with study guide plz!
Answer:
x = 3/5
Step-by-step explanation:
5th root of Y is notated in exponential notation as Y^(1/5), which is Y to the one fifth (1/5) power.
So, the 5th root of 19^3 is (19^3)^(1/5) = 19^(3 * 1/5) = 19^(3/5), since (A^a)^b = A^(a*b).
solve inequality: |7x+15|>-0.5
9514 1404 393
Answer:
true for all values of x
Step-by-step explanation:
The absolute value of a linear function is always at least 0, so is always greater than -0.5. The inequality is true for all real numbers.
Is x = y - 1 a function. I just need a yes or a no please respond the right answer I really need it
Write the slope-intercept equation of the line passing through (3.4, 17.8) and (5.7, 64.7). Round the final slope and y-intercept to the nearest tenth in your answer. Show clear work.
Answer:
Answer:
y = 20.39x - 51.526
Step-by-step explanation:
y2 - y1 / x2 - x1
64.7 - 17.8 / 5.7 - 3.4
46.9/2.3
= 20.39
y = 20.39x + b
17.8 = 20.39(3.4) + b
17.8 = 69.326 + b
-51.526 = b
Find the unit rates (pages per day) for Deon and Emily. Who read faster?
Deon: 36 pages in 3 days. StartFraction 36 pages Over 3 days EndFraction = Question mark pages per day. Emily: 45 pages in 5 days. StartFraction 45 pages Over 5 days EndFraction = question mark pages per day.
Answer:
Deon
Step-by-step explanation:
Deon-12 ppd
Emily-9 ppd
Deon reads more pages per day
Answer:
Deon read 3 more pages per day than Emily.
how do i solve the question in the image provided ?
Answer:
0.19+0.46i and 0.19-0.46i
Step-by-step explanation:
[tex]\neq (-b+\sqrt{b^2-4ac} )/2a\\and\\(-b-\sqrt{b^2-4ac} )/2a\\\\a=8\\b=3\\c=2\\(-3+\sqrt{3^2-4*8*2} )/(2*8)\\= - 0.1875+0.463512i\\(-3-\sqrt{3^2-4*8*2} )/(2*8) = -0.1875-0.463512i[/tex]
hope its right
Calculus, derivatives. Please help! Show work, if possible. Thanks! :)
[tex]y = x + \pi[/tex]
Step-by-step explanation:
We need to find the slope of the line tangent to y at [tex]x=-\pi[/tex] and we can do that by calculating the derivative of y at that point. We know that
[tex]y'(x) = \dfrac{d}{dx}(\tan{x}) = \sec^2{x}[/tex]
and
[tex]y'(-\pi) = \sec^2(-\pi) = 1[/tex]
To find the equation of the tangent line, we know that the line passes through the point [tex](-\pi, 0)[/tex] so we can write the slope-intercept form of the line's equation as
[tex]0 = (-\pi) + b \Rightarrow b = \pi[/tex]
Therefore, the equation of the line tangent to the point [tex]x = -\pi[/tex] is
[tex]y = x + \pi[/tex]
The graph of the two functions is shown above.
y is dirrctly propotional to ∛x y=1 1/6 when x=64. Find the value of y when x=64
9514 1404 393
Answer:
1 1/6
Step-by-step explanation:
This appears to be a reading comprehension test.
The problem statement gives you the value of y when x=64, then asks you the value of y when x=64. The answer will be the given value:
y = 1 1/6
please help! no work needs to be shown:)
22. Gone Fishing Four friends go fishing one day and bring home a total of 11 fish. If each person
caught at least 1 fish, then which of the following must be true?
A. One person caught exactly 2 fish.
B. One person caught exactly 3 fish.
C. One person caught fewer than 3 fish.
D. One person caught more than 3 fish.
E. Two people each caught more than 1 fish.
(MT calendar problem)
66. Magic Square A magic square is a square array of numbers that has the property that the sum
of the numbers in any row, column, or diagonal is the same. Fill in the square below so that it
Gone Fishing Four friends go fishing one day and bring home a total of 11 fish. If each person caught at least 1 fish, then C) One person caught fewer that 3 fish.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
It is given that Gone Fishing Four friends go fishing one day and bring home a total of 11 fish. If each person caught at least 1 fish, then we need to find the following must be true.
Therefore, the statement that is true C) One person caught fewer that 3 fish.
Learn more about probability here;
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Please help me I need this done
Answer:
Your image is too lite to see
can someone help me plz ?
Answer:
no
Step-by-step explanation:
ok
I need to find y and z
for y-
24
45
27
135
for z-
135
98
82
90
Answer:
y = 27°z = 98°Step-by-step explanation:
The interior angle marked 5y is the supplement of the adjacent exterior angle marked 45°.
5y + 45° = 180°
5y = 135° . . . . . . . . subtract 45
y = 27° . . . . . . . . divide by 5
__
The sum of the interior angles of a pentagon is (5-2)(180°) = 540°.
90° +5y +z +82° +135° = 540°
Using y=27°, we can subtract 442° from both sides to get ...
z = 98°
_____
Additional comment
You might recognize that the downward-sloping diagonal sides of the figure are parallel, so z and 82° are consecutive interior angles, hence supplementary. This fact means you don't have to be concerned with the other three angles in the figure to find the value of z: 180° -82° = 98°.
50 units needed 12 units per case
Answer:
5 cases
Step-by-step explanation:
Since 12 does not go into 50, you need to buy a whole extra case.
12*4= 48, which is not enough for 50 units
Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 80,000 shares of cumulative preferred 3% stock, $20 par and 405,000 shares of $25 par common.
During its first four years of operations, the following amounts were distributed as dividends: first year, $30,000; second year, $74,000; third year, $100,000; fourth year, $100,000.
Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00".
what is the domain of f in the equation f(x)=2(x-1)^2-4
Answer:
[tex](-\infty, \infty)[/tex]
Step-by-step explanation:
There are no restrictions on the possible values of [tex]x[/tex], because you can square any number.
Because [tex]x[/tex] can be anything, the domain is all reals or [tex]\boxed{(-\infty, \infty)}[/tex] which means [tex]x[/tex] can be any real number.
A cookie recipe calls for 2 eggs and makes 3 dozen cookies. How many cookies could you make with a dozen eggs?
Answer:
18 dozen
Step-by-step explanation:
2/3 = 12/x
(3*12) / 2 = 18
Convert 60 Litres to gallons
Answer:
15.18
Step-by-step explanation:
Carry on learning:)))
Two buses leave a station at the same time and travel in opposite directions. One bus travels 17 mi/h slower than the other. If the two buses are 345 miles apart after 3 hours, what is the rate of each bus? Please help!
Answer:
...,....................
Answer:
one bus travels at 66mi/hr and the other bus at 49mi/hr
Step-by-step explanation:
Let's assume one bus, A is traveling at x mi/hr and the other bus, B at x+17 mi/hr
after 3hrs, bus A will have covered 3x miles and bus B will have covered 3(x+17) miles.
the buses are 345 mils apart but from the same origin,
meaning Distance of A + Distance of B =345 miles
3x+3(x+17)=345
x=49
for bus A
and x+17=66 for bus B
What is the value of this expression when a = 7 and b = -4
Answer:
[tex] \longmapsto\frac{ |2a| - b }{3} \\ = \frac{ 2|a| - b }{3} \\ = \frac{2 |7| - ( - 4) }{3} \\ = \frac{2(7) + 4}{3} \\ = \frac{14 + 4}{3} \\ = \frac{18}{3} \\ = \boxed6[/tex]
D. 6 is the right answer.which equation can be used to represent this problem? company spent $2000 developing a waterproof fabric. The company makes $3 on the sale of each yard of fabric after subtracting anufacturing costs. How many yards of fabric, x, will they need to sell to have a profit of $12,000?
A 2000 - 3x = 12000
B 12000 - 3x =2000
C 3x - 2000 = 12000
D 3x - 12000 = 2000
Can someone help me with this plzzzzzz
The triangles shown below must be congruent
Answer:
A. True
Step-by-step explanation:
Two triangles that have two of their sides equal, as well as the angle between them also equal, are congruent
Answer:
ITS FALSE
Step-by-step explanation:
I DID IT
Write a problem that you can use 7 x 0 to solve.
Answer:
0+0
Step-by-step explanation:
0+0=0 and 7x0=0
Answer:
0+0
Step-by-step explanation:
0+0=0 7x0=0
If x=19 and y=8, find y when x=38
Answer:
I think it would be 27
Step-by-step explanation:
because 8 is 11 less than 19 and you would subtract 11 from 38
An insurance agent earns a base salary of $28,000, a commission of 2% of sales, and receives an additional fee of $9 for each sale of an investment policy. The agent had total sales of $75,000 and 6 investment policies this month. Find the commission and fees earned. (There should be 2 separate answers)
Answer:
$54 for fees
$1500 for commission
$29554 in total
Step-by-step explanation:
They will have $28000 regardless.
The commission is 2% so you multiply 0.02 (which is equivalent to 2%) to $75000, so he earns $1500. He sold 6 sales so he you multiply 6 by $9 and you get $54.
I don't know exactly what your asking but
$54 for fees
$1500 for commission
$29554 in total
Which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
The statement that correctly compares the function shown on the graph with the function y=4x + 2 is 'The function shown on the graph has a smaller rate of change, but a higher starting point.'
What is rate of change of a function?The rate at which one quantity is changing with respect to another quantity.
For given question;
It is given a function y = 4x + 2
This function represents a line.
We have slope of the line = 4 and y - intercept = 2
We already know that the rate of change of line is given by its slope.
So, the rate of change of given function ;
y = 4x + 2 is 4.
The starting point of function f(x) is 2.
The graph of the line passing through points (-1, 1) and (0, 4)
So using slope formula,
m = (4-1)/ 0-(-1)
m = 3
So, the rate of change of function is 3.
The rate of change of function shown on the graph is smaller than the rate of change of function y = 4x + 2
Thus, the statement that correctly compares the function shown on the graph with the function y=4x + 2 is 'The function shown on the graph has a smaller rate of change, but a higher starting point.'
Hence, The correct answer is option (A)
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Each week Christian earns $X fixing bicycles and receives $10 as his allowance to find how much he will earn in total over two weeks Christian calculate the following X +10+ X +10 what is another way Christian can calculate how much he will earn in total over the two weeks drag and drop the equivalent expression in the box
Answer:
B
Step-by-step explanation:
Which expression is equivalent to-5(3x-6/7)?
Answer:
The answer is -15x+30/7
Step-by-step explanation:
First: -5×3 is -15x
Then: You change the negative sign to a positive sign.
Last: You put 30/7