Answer:
The rate that the distance between the police car and car is changing = 3 m/s
Step-by-step explanation:
The given speed of the police car = 35 mph
The speed of the speeding car = 30 mph
The position of the police car = 0.75 miles north
The position of the speeding car = 1 miles east
The distance of the police car from the speeding car, d = √(0.75² + 1²) = 1.25
d² = x² + y²
2d·dd/dt = 2x·dx/dt + 2·y·dy/dt
Where;
dx/dt = 30 mph
dy/dt = -35 mph
x = 1
y = 0.75
Substituting gives;
2×1.25 ×dd/dt = 2×1×30 - 2×0.75×35
2×1.25 ×dd/dt = 7.5
dd/dt = 7.5/2.5 = 3
dd/dt = 3 m/s
The rate that the distance between the police car and car is changing = dd/dt = 3 m/s
Answer:
The answer is increasing by 3 mph
Step-by-step explanation:
Alright I know what your all thinking the answer is 2, but it says I’m wrong. Am I doing something wrong?
Answer:
3.75
Step-by-step explanation:
Follow PEMDAS
P = parentheses so first it will turn to 30 divided by 3 times 5
E = exponents we dont have any
M = multiplication 30 divided by 8
D = division = 3.75
Expand and simplify (x + 3)(x-4)
Answer:
2x -1
Step-by-step explanation:
x*x =2x 3-4 =-1
2x+-4
Twice a number increased by 1 is -11. Find the number.
Answer:
x=-6
Step-by-step explanation:
Twice mean multiply by 2
and twice a number is 2x (If you let x be the "number")
increase means adding by
increase by 1 is adding by 1
Is means =
is -11 is
=-11
now that we have all the things we add it up
Wice a number increased by 1 is -11:
2x+1=-11
Now you move the 1 to the other side by subtracting by 1 on both sides:
2x+1-1=-11-1
Simplify:
2x=-12
divide both sides by 2:
x=-6
Hope this helps!
Please help :( please
Answer:
1. $6.88
2. 16 oz box
3. 5 dollars if u were to buy the 11 pound I think
Step-by-step explanation:
1. 24 pack because if you got 2 packs of Diet coke for 3.99 each then it would be 7 something dollars which is higher than 6.88
2. cheaper for more
write an equation in slope intercept form of the line that passes through (-5, 19) and (5, 13). y=
Answer:
y= -[tex]\frac{3}{5}[/tex]x+16
Step-by-step explanation:
[tex]\frac{19-13}{-5-5}[/tex]
-[tex]\frac{6}{10}[/tex]
-[tex]\frac{3}{5}[/tex]=slope
13=-[tex]\frac{3}{5}[/tex](5)+C
13=-3+C
16=C=y intercept
Can someone please help fr.
Answer:
IM LOOKING FOR THE ANSWER TO LOL
Step-by-step explanation:
what up dogs need help geting 3 more golden crowns to level up to be an expert level please can yall help me
Answer:
Well all you have to do is answer questions, i have 2 hundred more points until I'm an expert but i have 20 brainliests!
Step-by-step explanation:
Answer:
I can help you, In a few minutes I may post some questions so I'll let you answer em- the thing is, two people need to answer for me to give brainliest so itll take a bit.
Step-by-step explanation:
Mind answering some stuff I have in the meantime?
How can you tell if an expression is a monomial , binomial or trinomial?
Answer:
Look at the Latin root. Mono means one, so [tex]2x^{2}[/tex] is an example because it is only made up of one term. Bi means two, so [tex]3x^{3}[/tex]+4 is an example because it was two terms. Tri means three, so there needs to be three terms for it to be a trinomial. [tex]2x^{5}[/tex]-3x+5 is an example of a trinomial because it was three terms within the equation.
I hope this helps!
please help me answer it
Answer:
Yes, I think. I could be wrong but hopefully not!
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
it follows a pattern so it is a function. I am pretty sure about this because I learned about functions and non functions a few classes ago.
James has $120 in his savings account and
plans to save $x each month for 6 months.
The expression $6x + $120 represents the
total amount in the account after 6 months.
Factor the expression 6x + 120.
Answer:
6(x + 20)
Step-by-step explanation:
you need to divide both numbers by six.
I recommend downloading photomath for a more detailed explanation and for help with math in the future.
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box
Answer:
m = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points given from the graph.
Point (0, 2)
Point (7, 2)
Step 2: Find slope m
Substitute: [tex]m=\frac{2-2}{7-0}[/tex]Subtract: [tex]m=\frac{0}{7}[/tex]Divide: [tex]m=0[/tex]Any horizontal line will have a slope of 0.
And we have our final answer!
Find the equation of the line through (0,-2) and (4, 18).
Let me = slope
m = (18 - (-2))/(4 - 0)
m = 20/4
m = 5
We now plug slope 5 and one of the given points into the point-slope formula.
y - y_1 = m(x - x_1)
y - 18 = 5(x - 4)
y - 18 = 5x - 20
y = 5x - 20 + 18
y = 5x - 2
Done!
I need help on the first question please will mark brainiest
Answer:
D. [tex]2^{18}[/tex]
Step-by-step explanation:
The expression is: [tex](2^{6}) ^{3}[/tex] * [tex]2^{0}[/tex]
For the first term: When a term with an exponent is inside parentheses with another exponent on the outside, the two exponents are multiplied by each other:
6 * 3 = 18
Now the expression looks like this: [tex]2^{18}[/tex] * [tex]2^{0}[/tex]
Any number to the power of zero is 1.
So the equation now looks like this: [tex]2^{18}[/tex] * 1
After you multiply the two terms, you end up with [tex]2^{18}[/tex].
Answer:
The answer is D 2^18
Step-by-step explanation:
Please help me with this question.... please
What is the least common multiple of 25, 10 and 30?
Answer:
The least common multiple 150 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.
Answer:
150
Step-by-step explanation:
25*6=150
10*15=150
30*5=150
can someone help with explanation what is 2+√12/√27
Answer:
Step-by-step explanation:
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week?
Answer:
The possible graph is "A". A further explanation is given below.
Step-by-step explanation:
The given values are:
Dominick spends on running
= 0.70 hours
He spends on swimming
= 1.5 hours
This week,
Dominick spends more than six hours.
If,
Number of runs be "x".
Number of swimming be "y".
then,
⇒ [tex]0.75x+1.5y>6[/tex]
⇒ [tex]75x+150y>600[/tex]
⇒ [tex]x+2y>8[/tex]
Therefore, [tex]x+2y=8[/tex]
x = 0
y = 4
So the above is the correct answer.
a regular pentagon and an equilateral triangle have the same perimeter...........
(Please don't answer with anything that doesn't relate to it, such as no mimicking please i beg you)
I only have 1 hour before class help please
Answer:
Option 4: 45 units is the correct answer
Step-by-step explanation:
Let [tex]P_1[/tex] be the perimeter of Pentagon and
Let P2 be the perimeter of Triangle
So,
[tex]P_1 = 5(\frac{1}{2}x-1)\\P_2 = 3(x-5)[/tex]
In order to find the perimeter of each figure we have to put both the expressions equal so that the value of x can be found and then perimeter.
So,
[tex]P_1 = P_2\\5(\frac{1}{2}x-1) = 3(x-5)\\\frac{5}{2}x-5 = 3x-15\\\frac{5}{2}x-3x = -15+5\\\frac{5x-6x}{2} = -10\\-\frac{x}{2} = -10\\-x = -10 * 2\\-x = -20\\x = 20[/tex]
Putting x = 20 in 2nd perimeter
[tex]P_2 = 3(x-5) \\= 3(20-5)\\= 3(15)\\=45[/tex]
As both the perimeters are same, the perimeter of pentagon will also be 45 units.
Hence,
Option 4: 45 units is the correct answer
Solve 2a² and 3b²-c³ if A=3 ,B=2 ,C=1
Akio buys scissors for $3.79, tape for $2.57, and pens for $5.80. The sales tax is 6.25%.
What is the amount of tax for Akio's purchases?
Enter your answer in the box
Answer:
$0.76
Step-by-step explanation:
3.79+2.57+5.8=12.16
12.16 x 0.0625=0.76
To solve this, you have to add all the prices together and then convert the percentage into a number so that you can multiply it by the total sales. You end up with 0.76 cents as the taxes for Akio's Purchase.You convert the percentage by moving it backward 2 decimal places.
Answer:
is o.76
Step-by-step explanation:
I took the quiz
y= 3x + 2 and y= 3x -3. These lines are...
parallel
perpendicular
neither
The lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation of the lines:
y = 3x + 2 and y = 3x - 3
The slope of the line:
y = 3x + 2
y = mx + c
m = 3
The slope of the line:
y = 3x - 3
y = MX + C
M = 3
m = M
The slopes of the line are the same.
Thus, the lines y= 3x + 2 and y= 3x -3 are parallel because the slope of the lines is an equal option (A) is correct.
Learn more about the linear equation here:
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A bookshop had 650 copies of a book for sale. The books were marked at 75 per copy in order to make a profit of 30%. A bookseller bought 300 copies at 5% discount. If the remaining copies sold at 75 each, calculate the percentage profit of the bookshop will make on the whole
Answer:
The percentage profit of the bookshop will make on the whole is 27%.
Step-by-step explanation:
The following are given in the question:
Copies of books for sale = 650
Selling price per copy = 75
Copies sold at 5% discount = 300
Discount rate = 5%, or 0.05
Percentage profit per copy = 30%, or 0.30
To calculate cost per copy, the following formula is used:
Percentage profit per copy = (Selling price per copy – Cost per copy) / Cost per copy …….. (1)
Substituting the values into equation (1) and solve for Cost per copy, we have:
30% = (75 - Cost per copy) / Cost per copy
0.30 * Cost per copy = 75 - Cost per copy
(0.30 * Cost per copy) + Cost per copy = 75
1.30 * Cost per copy = 75
Cost per copy = 75 / 1.30
Cost per copy = 57.6923076923077
Therefore, we have:
Total cost = Copies of books for sale * Cost per copy = 650 * 57.6923076923077 = 37,500
Selling price at 5% discount = 75 * (100% - Discount rate) = 75 * (100% - 5%) = 75 * 95% = 71.25
Revenue from sales at selling price at 5% discount = Selling price at 5% discount * Number of sales at 5% discount = 71.25 * 300 = 21,375
Revenue from the remaining copies sold at 75 per copy = (Copies of books for sale - 300) * 75 = (650 - 300) * 75 = 350 * 75 = 26,250
Total revenue = Revenue from sales at selling price at 5% discount + Revenue from sales at 75 per copy = 21,375 + 26,250 = 47,625
Total profit = Total revenue - Total cost = 47,625 - 37,500 = 10,125
To calculate the percentage profit of the bookshop will make on the whole, the following formula is used:
Percentage profit on the whole = (Total profit / Total cost) * 100 ................ (2)
Substituting the relevant values form above into equation (2), we have:
Percentage profit on the whole = (10,125 / 37,500) * 100
Percentage profit on the whole = 0.27 * 100
Percentage profit on the whole = 27%
Therefore, the percentage profit of the bookshop will make on the whole is 27%.
Hi can someone please help me with my math work?
Answer:
Integers are 7, 8, 9
Step-by-step explanation:
Let three positive consecutive integers are (n - 1), n, (n + 1)
If the product of the second and the third integer is 72,
n(n + 1) = 72
n² + n = 72
n² + n - 72 = 0
n² + 9n - 8n - 72 = 0
n(n + 9) - 8(n + 9) = 0
(n - 8)(n + 9) = 0
(n - 8) = 0 ⇒ n = 8
(n + 9) = 0 ⇒ n = -9
For n = 8,
Integers will be ⇒ 7, 8, 9
For n = -9,
Integers will be ⇒ -10, -9, -8
Since, all integers are positive,
7, 8, 9 will be the answer.
Find the slope (-3,10) (-3,7)
Answer:
Undefined because the x values are the same
Step-by-step explanation:
Slope: y2 - y1 / x2 - x1
Slope: 7 - 10 / -3 - - 3
Slope: -3 / -3 + 3
Slope: -3 / 0
Slope: undefined
Evaluate the logarithm.
log9(1/81)
a. 2
b. -2
The solution of the logarithmic functions [tex]log_9 ( \dfrac{1}{81} )[/tex] would be, - 2. Hence option b is true.
Given that,
The expression is, [tex]log_9 ( \dfrac{1}{81} )[/tex].
Used the formula of logarithmic functions that are,
[tex]log (m^n) = n log m[/tex]
And, [tex]log_a (a) = 1[/tex]
Now, simplify the given logarithmic functions by using the above formula,
[tex]log_9 ( \dfrac{1}{81} )[/tex]
[tex]log_9 ( 81 )^{-1}[/tex]
[tex]log_9 ( 9^2)^{-1}[/tex]
[tex]log_9 ( 9)^{2 \times -1}[/tex]
[tex]log_9 ( 9)^{-2}[/tex]
Apply the formula [tex]log (m^n) = n log m[/tex],
[tex]- 2 log _ 9 (9)[/tex]
Since, [tex]log_a (a) = 1[/tex]
Hence, it can be written as,
[tex]- 2 log _ 9 (9)[/tex]
[tex]- 2 \times 1[/tex] [tex]= - 2[/tex]
Therefore, the solution is,
[tex]log_9 ( \dfrac{1}{81} ) = - 2[/tex]
To learn more about logarithms visit:
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x + y = 4.25
16.90x + 4y = 36.35
Answer:
x=1.5 y=2.75
Step-by-step explanation:
Answer:
Step-by-step explanation:
use the first equation to solve the second equation
y = 4.25 - x
16.90x + 4(4.25 -x) = 36.35
16.90x + 17 - 4x = 36.35
12.90x = 19.35
x = 1.5
y = 4.25-1.5
y= 2.75
x=1.50
y=2.75
Solve for x
4x + 8 = 6x – 1
Answer:
x = 9/2
Step-by-step explanation:
4x + 8 = 6x - 1
4x - 6x = - 1 - 8
-2x = -9
2x = 9
x = 9÷2
x = 9/2
-TheUnknownScientist
2. A plumber charges a $70 fee for a repair plus $30 per hour. Write an equation to model the
total cost y of a repair that takes x hours. What is the slope? What is the y-intercept?
(3 points)
Answer:
y = 70 + 30x
slope 30
y intercept 70
Step-by-step explanation:
how do you solve the problem 2x+3y=25,4x-y=15 for substitution
Answer:
X=5 Y=5
Step-by-step explanation:
What is the equation of a line parallel to Y=-3x+5 that passes through point (6,8)?
9514 1404 393
Answer:
y = -3x +26
Step-by-step explanation:
We assume the given line is ...
y = -3x +5
This is in slope-intercept form:
y = mx +b
where m = -3 and b = 5.
The parameter m represents the slope of the line. A parallel line will have the same slope, so will be of the form ...
y = -3x +b
We can find the value of b using the given point:
8 = -3(6) +b
26 = b . . . . . . add 18
So, the equation of the parallel line through (6, 8) is ...
y = -3x +26