Two cars are driving towards an intersection from perpendicular directions. The first car's velocity is 10 meters per second and the second car's velocity is 6 meters per second. At a certain instant, the first car is 4 meters from the intersection and the second car is 3 meters from the intersection. What is the rate of change of the distance between the cars at that instant (in meters per second)?
Answer:
use: E = P x t
Step-by-step explanation:
E = energy = J
P = power = W
t = time = s
Suppose that Marlie had decided to apply for a private loan rather than a federal loan. She has
been offered a private loan for 10 years with an APR of 7.8%.
a. Determine her monthly payment.
b. What is the total amount she will pay back?
c. What is the total interest amount?
Using simple interest, and considering a loan of $5,000, it is found that:
a) Her monthly payment is of $74.17.
b) She will pay back $8,900.
c) The total interest amount is of $3,900.
The amount of money after t years in simple interest is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount. r is the interest rate, as a decimal.In this problem:
The loan is of $5,000, hence [tex]A(0) = 5000[/tex].The APR is of 7.8%, hence [tex]r = 0.078[/tex]10 years, hence [tex]n = 10[/tex]Item b:
[tex]A(10) = 5000[1 + 0.078(10)] = 8900[/tex]
She will pay back $8,900.
Item a:
$8,900 will be paid in 10 x 12 = 120 months, hence:
[tex]M = \frac{8900}{120} = 74.17[/tex]
Her monthly payment is of $74.17.
Item c:
Loan of $5,000, pays back $8,900, hence:
8900 - 5000 = 3,900
The total interest amount is of $3,900.
A similar problem is given at https://brainly.com/question/13176347
i need some help here plzzzzzzzzzz
NO LINKS!!!!!!
Answer:
I'm pretty sure it's A,B, and D.
Step-by-step explanation:
What is the solution of this system of equations?
x + 3y = 7
3x +2y = 0
A. (3,2)
B. (-2,3)
C. (2, -3)
D. (-3,2)
E. (-2,-3)
Answer:
B. (-2,3)
Explanation:
First, we'll turn both lines to slope-intercept form:
x + 3y = 7
Subtract x on both sides to get 3y = -x + 7, then divide 3 on both sides to get y = -1/3x + 7/3.
3x + 2y = 0
Subtract 3x on both sides to get 2y = -3x, then divide 2 on both sides to get y = -3/2x.
Now you can graph (I did it for you above⤴⤴⤴).
Hope this helps you :)
Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than the other. If they meet in 2 hours, what is the rate of each train?
Answer:
112 km/h
125 km/hr
Step-by-step explanation:
Distance = time * speed
Distance = distance train 1 + distance train 2
474 = 2(s) + 2(s + 13)
Distribute
474 = 2s + 2s + 26
Combine like terms
474 = 4s + 26
Subtract 26 from both sides
448 = 4s
Divide both sides by 4
112 = s
s = 112 km/h
s + 13 = 125 km/hr
i have most important question what is 2+2 ?
Answer:
4
Step-by-step explanation:
Answer:
When I look at -2^2 I see two operations, a negation and a power (square). The convention in mathematical expressions is that powers are performed before negations (also before additions, multiplications and divisions) so to evaluate -2^2 you first square the 2 to get 4 and then apply the negation to arrive at -4.
With (-2)^2 the parentheses tell you to consider -2 as a single quantity and square it so (-2)^2 = (-2) × (-2) = 4.
I hope it's help
A dozen gulab jamuns cost 3.49 how much will 5 dozen cost
Answer:
17.44
Step-by-step explanation:
if one dozen cost $3.49 than 3.49 × 5 = 17.44
Identify the graph that matches the piecewise function
Do the following tasks by the help of STATA software. You need to devote first 30 minutes of your time for these tasks.
a) Use auto.dta which is an example dataset for this question.
The study claims that average price of foreign cars is more than average price of domestic cars. Check validity of this claim by using dataset. Explain and mention all steps that are necessary for decision. (4 points)
b) Use nlsw88.dta. Find the standard deviation, the mean and the number of observation of age variable (age) for the people who work less than 32 hours (hours variable) or wage is greater than 10. (4 points)
c) Open example datasets that we have in the memory of STATA and choose “lifeexp.dta”. Find the standard deviation, the mean and the number of observation of safewater variable (safewater) for the countries with GNP variable (gnppc) greater than 5000 and life expectancy (lexp) is greater than 55. (4 points)
d) Open example datasets that we have in the memory of STATA and choose “lifeexp.dta”. We have 6 different variables in this dataset. Which variable has string values? Which STATA command is used in order to find the string values in dataset? What are the effects of large amount of string values in dataset?
What is the equation of the line in slop-intercept form?
Enter your answer in the blank spots
y= __x + __
Answer: i think its 4 -4 or 4 and 8
Step-by-step explanation: sorry if imma wrong
do atoms have potential and kinetic energy
Answer: Kinetic and potential energy of atoms result from the motion of electrons. ... The further the orbital is from the nucleus, the higher the potential energy of an electron at that energy level. When the electron returns to a low energy state, it releases the potential energy in the form of kinetic energy.
(i searched it and found this. If it helped, pls mark me brainliest! tysm)
One x-intercept for a parabola is at the point (-0.4,0). Use the quadratic formula to find the other x-intercept for the parabola defined by this equation: y = 5x2 + 7x + 2 Separate the values with a comma. Round, if necessary, to the nearest hundredth.
Answer:
-1
Step-by-step explanation:
Set y=0.
[tex]5 {x}^{2} + 7x + 2 = 0 \\ x = \frac{ - 7± \sqrt{ {7}^{2} - 4(5)(2)} }{2(5)} \\ x = \frac{ - 7± \sqrt{ 9} }{10} \\ x = \frac{ - 7±3}{10} \\ x = - \frac{2}{5} \: \: \: \: or \: \: \: \: - 1[/tex]
The x-intercepts are - 0.4 and - 1.
The other x-intercept is - 1.
Answer: 1,0
Step-by-step explanation:
maya picks 16 vegetables 6 of them are carrots the rest are cucumbers then she gives away 5 cucumbers how many cucumbers does maya have now
Answer:
5
Step-by-step explanation:
First subtract 6 from 16 to find how many cucumbers she has,
16 - 6 = 10
Now we know she has 10 cucumbers.
Subtract 5 from the 10 cucumbers to find out how many she has after giving away 5.
10 - 5 = 5
After subtracting the 5 cucumbers she gave away, we are left with 5
This means Maya has 5 cucumbers now
According to the food label on a box cookies, each box has 16
servings and each sering contains 4 cookies. The weight of the
ba of cookies is Kilogroms. What is the weight of each
cooke?
I cant help you but I can give you the equation: 16 x 4 x weight per cookie = answer
Step-by-step explanation:
did you forget to write the whole question?
PLEASE HELP BRAINLIEST TO THE RIGHT ANSWER!!!!!
A 7.8 kg object is suspended by a string from the ceiling of an elevator. The acceleration of gravity is 9.8 m/s^2.
A. Determine the tension in the string if it is accelerating upward at a rate of 1.5 m/s^2. Answer in units of N.
B. Determine the tension in the string if it is accelerating downward at a rate of
1.5 m/s^2
Answer:
88.14 N
64.74 N
Step-by-step explanation:
The expression on the left side of an equation is shown below.
-4(x-2)+5x=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
2(x+4) - x
O x + 8
O 4(x + 2) - 5x
Ο Χ
Answer:
x + 8
Step-by-step explanation:
Expanding the equation
-4(x-2)+5x = -4(x-2)+5x
= -4x+8+5x
= -4x+5x + 8
= x+8
Ali has q quarters. Tom has four more quarters than Ali.
Drag and drop the expressions into the boxes to write an expression that represents the number of quarters Ali and Tom have together.
Response area + Response area
Answer: x(.25)+(4+x(.25))=y
Step-by-step explanation:
1. set up the equation-
Ali has an unknown amount of quarters so make that x.
We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on
Tom has 4 more, since he has 4 more it is 4+x and one again times .25
2. that is it
6.
Which of the following is the graph of the equation y = −2x2 − 3x + 4?
Answer:
From the looks of the graph, it looks like the answer will be Letter C. (The last graph).
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: ( − 3 /4 , 41 /8 )
Focus: ( − 3 /4 , 5 )
Axis of Symmetry: x = − 3 /4
Directrix: y = 21 /4
x y
− 3 − 5
− 2 2
− 3 4
41 8
0 4
1 − 1
There are 350 students graduating on Sunday. 84% of the students are graduating with Bachelor’s degree in Business. How many students are getting their Bachelor's degree in Business?
Answer:
294 students
Step-by-step explanation:
To find percentage, convert the percent to a decimal and multiple the total number of students
80% --> 0.8
350*0.8 = 294 students
9514 1404 393
Answer:
294
Step-by-step explanation:
84% of 350 is ...
0.84 × 350 = 294
294 students are getting their Bachelor's degree in Business.
__
Additional comment
If your calculator does not have a % key, you can perform the multiplication by converting the percentage to a decimal or using it as a fraction. The % symbol is interchangeable with /100, so 84% = 84/100. Of course, this is eighty-four hundredths, which can also be written 0.84.
Any spreadsheet will accept direct input of numbers with an attached % symbol, so you can use one of those for this calculation, also.
Please look the picture
C, 380 is the difference in the number of followers Rossana has and the number of followers Ty has.
Can someone answer this for me?
Thanks!
Hiii :))
Answer is in the attachment.
Identity used :-
1) cosec² α = 1 + cot² α
Trigonometric Ratio :-
1) cot 30° = √3
_____
Reddam is an expensive school, right?
RainbowSalt2222 ☔
Answer:
hello :-D
Step-by-step explanation:
In triangle GHI, m H is 20 more than
m G, and m G is 8 more than m I.
What is the measure of each angle?
H =20
G = 8 mor than I
the measure of H is 28 because it says that g is 8 more so that means I can be 0 and that means G is 8 and then H is 20. therefore solving your answer
a ladder 7.5m long rests against a wall . the botton of ladder is 2.1m from the wall . calculate how far the ladder reaches up the wall.
Answer:
h = √(7.5² - 2.1²) = 7.2 m
Step-by-step explanation:
What is the prime factorization of 72?
A. 1 x 2 x 4 x 9
B. 2^2 x 3^2
C. 2^2 x 3^3
D. 2^3 x 3^2
Answer:
the prime factorization of 72 is : 2 × 2 × 2 × 3 × 3 =
Step-by-step explanation:
Ricky paddles his canoe at a rate of 6 miles per hour in still water. Last weekend he canoed
on Carver Creek going downstream with the current for 9 miles and then returning upstream
against the current. If the trip took him 4 hours to complete, what equation can be used to find
the speed of the current
Answer:
3 miles/hour
Step-by-step explanation:
Well, we already know that the speed at which he paddles is 6 miles/hour
Since his net speed while going down stream is his speed plus the current's speed, here's what we have:
NetSpeed = HisSpeed + CurrentSpeed
Replace the values we already know:
9 = 6 + x
X = 3 miles/hour
An equation that can be used to find the speed of the current is,
4 = 9/(4 - x) + 9/(4 + x).
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given:
Ricky paddles his canoe at a rate of 6 miles per hour in still water.
Last weekend, he canoed on Carver Creek, going downstream with the current for 9 miles and then returning upstream against the current.
The trip took him 4 hours to complete.
The downstream rate = 4 + x
And the upstream rate = 4-x.
Then an equation can be used to find the speed of the current is,
4 = 9/(4 - x) + 9/(4 + x)
Therefore, the equation is 4 = 9/(4 - x) + 9/(4 + x).
To learn more about the speed;
https://brainly.com/question/7359669
#SPJ2
Evaluation the following:
A.
[tex] \sqrt{ \frac{32 {y}^{2} }{72 {x}^{2} } } [/tex]
B.
[tex] \sqrt[3]{ \frac{125 {m}^{3} }{36 {m}^{2} } } [/tex]
C. if
[tex] x1 = 2 \: and \: x2 = 1 \\ and \: y1 = 3 \: and \: y2 = - 1[/tex]
then find the value of :
[tex] \sqrt{ \frac{x2}{y2} - \frac{y2}{x2} } [/tex]
Answer:
A. √32y²/72x²= 32y/72x
Step-by-step explanation:
√32y²/72x²= 32²/72²
= 32/72.
B. √125m³/36m²
=4192.6/108
=38.8203.
C. √x²/y²-y²/x²
therefore, x²=1, y²=-1
that is, √1/-1 - -1/1= -1(-)-1=0.
If Jaime wants to find 60% of 320, which table should he use?
A 2-column table with 11 rows. Column 1 has entries 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, 10 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, blank, blank, blank, blank, blank, blank, Total blank.
A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries blank, blank, blank, blank, Total blank.
A 2-column table with 4 rows. Column 1 has entries 30 percent, 30 percent, 30 percent, Total 100 percent. Column 2 has entries blank, blank, blank, Total blank.
A 2-column table with 3 rows. Column 1 has entries 50 percent, 50 percent, Total 100 percent. Column 2 has entries blank, blank, Total blank.
Answer: The answer is A. Six 10% and total 100% (I hope ya'll understand what I'm saying)
Answer:
it is A
Step-by-step explanation:
just finished
4.
Which of the following equations describes the graph?
A. y = 1/2x^2 - x + 2
B. y = 1/3x^2 - x - 2
C. y = -1/2x^2 - x - 2
D. y = 1/3x^2 - x + 2
Answer: The answer is NOT letter B or letter C
D. y = 1/3x^2 - x + 2
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: ( 3 /2 , 5 /4 )
Focus: ( 3 /2 , 2 )
Axis of Symmetry: x = 3 /2
Directrix: y = 1 /2
x y
0 2
1 4 /3
3 /2 5 /4
3 2
4 10 /3
A pattern has 6 blue triangles to every 42 yellow triangles. What is the ratio in lowest form of yellow triangles to blue triangles?
Answer:
7:1
Step-by-step explanation:
The original ratio was 6:42. To simplify this, we can find the greatest common factor for 6 and 42 by listing out their factors.
6: 1, 2, 3, 6
42: 1, 2, 3, 6, 7, 14, 21, 42
6 is the greatest common factor they share. We now need to divide each side by this number. This leaves us with 1:7. Since they want us to write the ratio in yellow triangles to blue triangles instead of blue triangles to yellow, we just need to flip the ratio to 7:1.
(2/3a - 5) - (1/3a + 3) simplify
Answer:
i have no idea mate
Hey there!
(2/3a - 5) - (1/3a + 3)
= 2/3a - 5 - 1/3a + 3
COMBINE the LIKE TERMS
= (2/3a - 1/3a) - ( -5 + 3)
= 1/3a - 2
Therefore, your answer should be: 1/3a - 2
OR