Answer:
Step-by-step explanation:
x + y = 11
What is a number that could be placed in the blank to complete this set from least to greatest?
2/5, 1/2,----,6/8
Answer:
4/10, 5/10, 6/10
I'm guessing 6/10 simplified into 3/5
Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas costs $3.5/gallon.
a. Write the function that finds the cost per mile at speed v
b. What speed results in the most inexpensive driving speed?
Answer:
(17.5 / 120 - 2v) + (15 / v)
Step-by-step explanation:
Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,
chauffeur is paid $15/hour
gas cost = $3.5/gallon.
Gasoline cost per mile :
Cost per gallon = $3.5
Cost per gallon * 1/(m(v))
$3.5 * 1 / (120 - 2v) / 5
$3.5 * 5 / 120 - 2 v
= 17.5 / 120 - 2v
Time = distance / speed
Chauffeur cost = 15 per hour / v
Hence ;
Total cost :
Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
Answer would be - (17.5 / 120 - 2v) + (15 / v)
First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 vThen result will be = 17.5 / 120 - 2v
Time = distance / speed Chauffeur cost = 15 per hour / v
Hence ;
The total cost will be : Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
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A car and a truck leave the same intersection, the truck heading north at 60 mph and the car heading west at 55 mph. At what rate is the distance between the car and the truck changing when the car and the truck are 30 miles and 40 miles from the intersection, respectively?
Answer: -81
Step-by-step explanation:
Let x = the car moving towards west = 30
Let y = truck moving towards north = 40
dx/dt = -55
dy/dt = -60
We the use Pythagoras theorem to solve further where,
s² = x² + y²
s² = 30² + 40²
s² = 900 + 1600
s² = 2500
s =✓2500
s = 50
We then differentiate with respect to t, then we will have:
s² = x² + y²
2s ds/dt = 2x ds/dt + 2y dy/dt
50 ds/dt = (30 × -55) + (40 × -60)
50 ds/dt = -1650 - 2400
50 ds/dt = - 4050
ds/dt = -4050/50
ds/dt = -81
f(x) = 72-12x what is the domain and range
Answer:
The domain is x and the range is f(x)
Step-by-step explanation:
Geometry: Express the area of each figure as a monomial. I need help with this, anyone?
Answer:
answer 28ab³ I think maybe
The area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].
Here,
The formula to calculate the area of a right-angled triangle is:
Area = (1/2) * base * height
In this case, the right-angled triangle has a height of [tex]6ab^3[/tex] and a base of [tex]4a^2b[/tex].
Now, let's substitute these values into the formula:
Area = [tex](1/2) * 4a^2b * 6ab^3[/tex]
Now, simplify the expression:
Area = [tex]2 * a^2b * 6ab^3[/tex]
To find the monomial representation, multiply the coefficients and add the exponents of like terms:
Area = [tex]12a^{(2+1)}b^{(1+3)[/tex]
Finally, simplify the exponents:
Area = [tex]12a^3b^4[/tex]
So, the area of the right-angled triangle is represented as the monomial [tex]12a^3b^4[/tex].
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The measure of the angle is 44 times greater than its supplement.
What is the measure of the supplement?
Answer: The measure of it's supplement is 4°
Step-by-step explanation:
If an angle is 44 times is supplement, then we can represent it by the equation x = 44y where x is the angle and y is it's supplement.
Supplementary angles add up to 180 degrees, meaning that x + y = 180.
x = 44y
x + y = 180
Using both equations substitute the value for x in the first equation, into the second equation and solve for y.
44y + y = 180 Combine like terms on the left side
45y = 180 Divide both sides 45
y = 4
This means the measure of it's supplement is 4 degrees.
Now input 4 into one of the equations for y and solve for x to find the main angle.
x = 44(4)
x = 176
This also means that the angle itself is 176 degrees.
The measure of the supplementary angle is 4°.
It is given that the measure of the angle is 44 times greater than its supplement.
We have to find out the measure of the supplement.
What are supplementary angles ?
Two angles are said to be supplementary angles if the sum of two angles is 180°.
As per the question ;
The measure of the angle is 44 times greater than its supplement.
Let's assume the supplementary angle is x .
So,
The other angle will be 44 × x .
We know that sum of two angles if they are supplementary is 180°.
⇒ x + 44 x = 180 °
⇒ 45 x = 180°
⇒ x = 180 ÷ 45
⇒ x = 4°
And the other angle will be ;
= 44 × 4
= 176°
Thus , the measure of the supplementary angle is 4°.
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If Paul’s savings are 25% more than Janet’s savings,
What percentage of Paul
savings are Janet’s savings
(A) 25 %
(B). 50%
(C) 75%
(D) 80%
The number of passengers in the bus double every minute. The bus was full of
passengers at 7.45am. When was it one quarter full?
Answer:
7:43 am.
Step-by-step explanation:
it was 1/2 full one minute ago then another 1/2 = 1/4 full 2 minutes ago.
Knowing how the bus fills, we want to find the time where the bus is one-quarter full.
The bus is one-quarter full at 7:43 am.
We know that at 7:45 am the bus is full. Let's say that the full bus has N people inside.
Each minute the population doubles, so if we go backwards, each minute the population is divided by 2.
One minute before, the bus must have half of the above population, meaning that at 7:44 am, the bus has N/2 people.
Another minuter before the people inside is halved again, then at 7:43 am we will have (N/2)/2 = N/4 people.
And if N is the people in a full bus, then N/4 represents the buss a quarter full.
Then we can answer the question as:
The bus is one-quarter full at 7:43 am.
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∠1 and ∠2 are a linear pair. If the m∠2 = 33°, find the m∠1.
Answer:
157 degrees
Step-by-step explanation:
A linear pair is 180 degrees.
180-33 = 157
Answer:
m∠1 = 147°
Step-by-step explanation:
Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.
180°-33°=147°
What is the measure of angle G? Type only the number:
Answer: 48
Step-by-step explanation:
total of all the degrees of the angles of the triangle is ALWAYS 180
let the measure of angle G be x
180 = 102+30+x
180 = 132+x
x = 48
3
2
Show gred
1
16
-5
4
1 2
3
4
5 6
3 -2 -1
11
-5
-6
- x2. on
sin - cos - tan-
+ - X + / +
log-e? 10
-
10n
Show less
Answer:
The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]
Step-by-step explanation:
We need to calculate the gradient of the graph
The gradient of graph is actually slope of the graph.
The slope of graph can be calculated using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Taking any 2 points on graph i.e
(1,0) and (-1,-3)
We have [tex]x_1=1, y_1=0, x_2=-1,y_2=-3[/tex]
Putting values and finding gradient:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-3-0}{-1-1}\\Slope=\frac{-3}{-2}\\Slope=\frac{3}{2}[/tex]
So, The gradient of the graph below is [tex]\mathbf{\frac{3}{2} }[/tex]
FINANCE
2. Which of the following statements is FALSE?
A. Common stockholders have an upper limit on their dividends
B. Preferred stockholders are more protected from risk than common stockholders.
C. Common stockholders own the firm and are among the last to be paid in the event of bankruptcy.
D. Preferred stockholders are
Answer: I think its C
Step-by-step explanation:
16.9 and 1.7 and 0.17 and 2.0 round to nearest tenth
Answer:
21
Step-by-step explanation:
I believe this because when you add it all together you get 20.77
Please help please help,! :( this is urgent!
Answer: A
Step-by-step explanation:You are painting a 1/3 of a 1/4 so it's A
solve 1,000x10 hint: use a strategy
Answer:
10000
Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
You just take the 0's and then you mutiply 1x1 and the answer you add the cero's you left the one from the number 10 and allso the ones from 1000
Help I will give brainliest
What is the x-coordinate of point B? Write a decimal coordinate.
(brainliest ) Edge 2020
An apple tree can grow about 400 apples. Jake says that 13 apple trees can grow about 6,000 apples. Do you agree? Explain.
Answer: No. Since 13×400=5,200, 13 apple trees can grow about 5,200 apples. Jake's estimate of 6,000 is much higher than 5,200.
Answer:
you answered it
Step-by-step explanation:
you put no blah blah blah
pleaseee I need help
Answer:
whith whut
Step-by-step explanation:
YALLLLL PLEASE HELP MEEEEEEEEEEEEEEE I WIIIL MAKR BRANLIEST IF CORRECT!!!!!!!!
Write an equation in slope intercept whose slope is 5 and y intercept is -3
Answer:
y=5x-3
Step-by-step explanation:
it just is
Answer:
y=5x-3
Step-by-step explanation:
In the diagram below what is the approximate length of the minor arc XY
Please help I’ll number 12!
Answer: y = -3/4x - 0.75
Step-by-step explanation:
The slope needs to be negative so that it's perpendicular to
y = 3/4x - 1
The equation then looks like this
y = -3/4x
We can get an exact y intercept number by using the cordinates
Lets input cordinates (3,-3)
-3 = -3/4(3)
-3 = -2.25 - 75 ( I inferenced )
-3 = -3
now that we got the y intercept lets put it all together
y = -3/4x - 0.75
Determine the sample size required to estimate the mean score on a standardized test within 4 points of the true mean with 98% confidence. Assume that s = 15 based on earlier studies.
Answer:
67
Step-by-step explanation:
You have to use fractions to show your work and I'm not going to do that but just know that it is the answer.
8y-2x=-72 in slope form
Answer:
y=1/4x-9
Step-by-step explanation:
Slope-intercept form is y=mx+b.
8y-2x=-72
Add 2x to both sides
8y=2x-72
Divide both sides by 8.
y=1/4x-9
HTH :)
If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find the
coordinates of T.
Answer:
[tex](7,-11)[/tex]
Step-by-step explanation:
Given
[tex]S = (1,5)[/tex]
[tex]M = (4,-3)[/tex]
Required
Determine the coordinates of T
Midpoint is calculated as:
[tex]M(x,y) = \frac{1}{2}(x_1 +x_2,y_1+y_2)[/tex]
Where:
[tex](x,y) = (4,-3)[/tex]
[tex](x_1,y_1) = (1,5)[/tex]
Substitute these values in the above formula:
[tex](4,-3) = \frac{1}{2}(1 + x_2,5+y_2)[/tex]
Multiply through by 2
[tex]2 * (4,-3) = 2 * \frac{1}{2}(1 + x_2,5+y_2)[/tex]
[tex](8,-6) = (1 + x_2,5+y_2)[/tex]
By direct comparison:
[tex]1 + x_2 = 8[/tex] and [tex]5 + y_2 = -6[/tex]
Solving for x2
[tex]1 + x_2 = 8[/tex]
[tex]x_2 = 8 - 1[/tex]
[tex]x_2 = 7[/tex]
Solving for y2
[tex]5 + y_2 = -6[/tex]
[tex]y_2 = -6 - 5[/tex]
[tex]y_2 = -11[/tex]
Hence, the coordinates of T is: [tex](7,-11)[/tex]
Please help I need these quickly. Please answer sensibly! I will give brainliest to the correct answer.
Answer:
n+n= 2n
[tex](3n) ^{2} = 9n ^{2} [/tex]
5(n+2)=5n+10
2(n+1)=2n+1
[tex]n \div 4 = \frac{n}{4} [/tex]
[tex]n(n - 2 = n{2} - 2n[/tex]
solve for m (8m+4) 38 degrees
Answer:
305m+152
Step-by-step explanation:
(8m+4)38
Multiply each term in the parentheses
8m times 38 plus 4 times 38
Multiply 8m times 38
304m plus 4 times 38
Then Multiply 4 times 38
304m+152
That should be your answer, but I could be wrong, therefore I am so sorry if I am. I hope this helps you.
An ant starts walking along a parabola, y(x)=x^2 starting from the point where x=3 He walks until a point where x=3+a where a is a positive number. What is the y-coordinate of the point that he is at now?
plz no bs answers
Answer:
the y co-ordinate > 9
Step-by-step explanation:
I just graphed y = x^2 found the point where the x - axis was 3, found that the y co-ordinate was 9 and if you were to add any positive number the y co-ordinate would only get larger!
Hope this helps!
Sam wrote his bike 2/5 of a mile and walked another 3/4 of a mile how far did he travel?
Answer:
1.15 miles
Step-by-step explanation:
Answer:
24/20
Step-by-step explanation:
Changed denominator to 20 since 4 and 5 both go into 20. Got 8/20 and 15/20. Added and got 24/20. As a mixed number it is 1 1/5/ Hope this helps!
what is the solution to this equation: 5x to the 2 power - 36x - 81 = ?
Answer:
5x² - 36x - 81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Combining Like TermsStandard Form: ax² + bx + c = 0Step-by-step explanation:
Step 1: Define expression
5x² - 36x - 81
Step 2: Simplify
We cannot simplify the expression down further.