Answer:
480
we round up because the last number is bigger than 5
In a parking lot 30% of the cars are white write this as a decimal
Answer:
0.3
Step-by-step explanation:
Answer:
[tex]{ \tt{30\% = 0.3}} \\ [/tex]
A line that includes the point (0, -2) has a slope of 1. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=1x-2
Step-by-step explanation:
Well this one is already given
When x=0, it's the y intercept
and it gives the slope, so we got it :D
Answer:
y=x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=1(x-0)
y+2=1(x)
y+2=x
y=x-2
Susan loaned Marcel $19,080 at an interest rate of 17% for 5 years. How much will Marcel pay Susan at the end of 5 years? Round your answer to the nearest cent, if necessary.
Please help me find the height of 302 after some seconds?
Step-by-step explanation:
Since the initial velocity of the object is 170 ft/s, the expression for h is given by
[tex]h = -16t^2 + 170t[/tex]
In order to find the time it takes for the object to reach the height of 302 ft, we to rewrite the equation above as
[tex]302 = -16t^2 +170t \Rightarrow 16t^2 - 170t + 302 = 0[/tex]
This is a quadratic equation whose roots are
[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
where a = 16, b = -170 and c = 302. Using these values, we get
[tex]t = \dfrac{170 \pm \sqrt{(-170)^2 - 4(16)(302)}}{2(16)}[/tex]
[tex]\;\;\;=\dfrac{170 \pm \sqrt{28900 - 19328}}{32}[/tex]
[tex]\;\;\;= \dfrac{170 \pm 97.8}{32}[/tex]
[tex]\;\;\;= 2.3\:\text{s},\;\;8.4\:\text{s},[/tex]
This means the object will reach the height of 302 ft 2.3 seconds after launch and then at 8.4 seconds after launch (on its way down).
Answer:
Step-by-step explanation:
plss help me.......
Answer:
The slope
Step-by-step explanation:
Simplify -6
1
4.
8
3
00w
8
1
A
8
00
00 W
3
8
8
Answer:
4th on should be the correct
Please answer
2x^2+7x+3=0
Answer:
x+-(1)/(2),-3
Step-by-step explanation:
Thank you:)
Solve for x. Round to the nearest tenth, if necessary.
1.8
P
х
1400
o
Answer:
13.6
Step-by-step explanation:
Find the value of x.
Answer:
Step-by-step explanation:
The top left angle is 55 (alternate interior angles).
x + 100 + 55 = 180 All triangles are made up of 180 degrees
x + 155 = 180 Subtract 155 from both sides.
x = 180 - 155 Combine
x = 25
Hence, 'x = 25°' is the value of 'x'
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
If x + 2 and x - 3 are factors of the following polynomial, then find the values of a and b. F(x) = x^2 + ax^2- 7x + b
[tex]\text{Given that,}\\\\f(x) = x^3+ax^2-7x+b \\\\\text{Since}~ (x+2)~ \text{and}~ (x-3)~ \text{are factors of f(x),}\\\\f(-2) = 0 ~ \text{and}~ f(3)=0\\\\\\ \text{Now,}\\\\f(-2)=0\\\\\ \implies (-2)^3+a(-2)^2-7(-2)+b =0\\\\\implies -8 +4a +14+b =0\\\\\implies 4a +b +6 =0~~~....(i)\\\\\\f(3) = 0\\\\\implies 3^3+a(3^2) -7(3) +b =0\\\\\implies 27 +9a -21 +b =0\\\\\implies 9a +b +6 =0~~....(ii)\\\\\\(ii)-(i):\\\\9a+b+6 - 4a-b - 6 = 0\\\\\implies 5a =0\\\\\implies a = 0\\[/tex]
[tex]\text{Substitute a=0 in equation (i):}\\\\4(0) +b +6 =0\\\\\implies b+6 =0\\\\\implies b =-6\\\\\text{Hence, a = 0 and}~ b =-6[/tex]
anyone who solves this problem for me .... I really need help
a) The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].
b) The value of [tex]m'(5)[/tex] is approximately -0.034.
c) The value of [tex]x[/tex] is approximately 0.622.
a) [tex]f(x)[/tex] is a piecewise function formed by two linear functions, whose form is defined by the following definition:
[tex]f(x) = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot x + b[/tex] (1)
Where:
[tex](x_{1}, y_{1})[/tex], [tex](x_{2}, y_{2})[/tex] - Two distinct points of the line.[tex]x[/tex] - Independent variable.[tex]f(x)[/tex] - Dependent variable.[tex]b[/tex] - x-InterceptNow we proceed to determine the linear functions:
Line 1: [tex]x \in [-1, 2)[/tex]
[tex](x_{1}, y_{1}) = (0, 3)[/tex], [tex](x_{2}, y_{2}) = (1, 5)[/tex], [tex]b = 3[/tex]
[tex]f(x) = \frac{5-3}{1-0}\cdot x + 3[/tex]
[tex]f(x) = 2\cdot x + 3[/tex]
Line 2: [tex]x \in [2, 8][/tex]
[tex](x_{1}, y_{1}) = (2, 7)[/tex], [tex](x_{2}, y_{2}) = (8, 3)[/tex]
First, we determine the slope of function:
[tex]m = \frac{3-7}{8-2}[/tex]
[tex]m = -\frac{2}{3}[/tex]
Now we proceed to determine the intercept of the linear function:
[tex]7 = -\frac{2}{3}\cdot 2 + b[/tex]
[tex]b = \frac{25}{3}[/tex]
[tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex]
The first derivative of a linear function is its slope, and the first derivative of a product of functions is defined by:
[tex]k'(x) = f'(x)\cdot g(x) + f(x)\cdot g'(x)[/tex]
If we know that [tex]f(x) = 2\cdot x + 3[/tex], [tex]f'(x) = 2[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 0[/tex], then:
[tex]k'(x) = 2\cdot \sqrt{x^{2}-x+3}+\frac{(2\cdot x +3)\cdot (2\cdot x - 1)}{2\cdot \sqrt{x^{2}-x+3}}[/tex]
[tex]k'(0) = 2\sqrt{3}-\frac{3}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{12-3}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{9}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{3\sqrt{3}}{2}[/tex]
The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].
b) The derivative is found by means of the formulas for the derivative of the product of a function and a constant and the derivative of a division between two functions:
[tex]m'(x) = \frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{2\cdot [g(x)]^{2}}[/tex] (2)
If we know that [tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex], [tex]f'(x) = -\frac{2}{3}[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 5[/tex], then:
[tex]f(5) = 5[/tex]
[tex]f'(5) = -\frac{2}{3}[/tex]
[tex]g(5) = \sqrt{23}[/tex]
[tex]g'(5) = \frac{9\sqrt{23}}{46}[/tex]
[tex]m'(5) = \frac{\left(-\frac{2}{3} \right)\cdot \sqrt{23}-\left(-\frac{2}{3} \right)\left(\frac{9\sqrt{23}}{46} \right)}{3\cdot 25}[/tex]
[tex]m'(5) \approx -0.034[/tex]
The value of [tex]m'(5)[/tex] is approximately -0.034.
c) In this case we must find a value of [tex]x[/tex], so that [tex]h'(x) = 2[/tex]. Hence, we have the following formula below:
[tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]
A quick approach is using a graphing tool a locate a point so that [tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]. According to this, the value of [tex]x[/tex] is approximately 0.622.
To learn more on derivatives, we kindly invite to check this verified question: https://brainly.com/question/21202620
Please help!
Having lots of trouble with math :)
REI.C.6 Level 1
below.
2. A student is solving the system,
2x + 3y = 12
5x - 2y = 11
algebraically. Their work is shown below but is unfinished.
Continue where the student left off and solve the system.
2x + 3y = 12
5x - 2y = 11
=
2 (2x + 3y = 12)
3 (5x - 2y = 11)
4x + 6y = 24
15x – 6y = 33
-
Answer:
The solution is x = 3, y = 2.
Step-by-step explanation:
4x + 6y = 24
15x – 6y = 33 Add these 2 equations:
19x = 57
x = 57/19
x = 3. Now Substitute for x in the original equation:
2(3) + 3y = 12
3y = 12 - 6
2y = 6
y = 2.
The population of Fantasy City doubles each month. When will the city be half populated if it will be fully populated in 10 months.
Using an exponential function, it is found that the city will be half populated in 9 months.
The population of Fantasy City doubles each month, hence, after t months, the population is given by:
[tex]P(t) = P(0)2^{t}[/tex]
In which P(0) is the initial population.Fully populated in 10 months, hence, the full population is:
[tex]P(10) = P(0)2^{10} = 1024P(0)[/tex]
Hence, half populated is [tex]P(t) = \frac{1024P(0)}{2} = 512P(0)[/tex], hence:
[tex]P(t) = P(0)2^{t}[/tex]
[tex]512P(0) = P(0)2^{t}[/tex]
[tex]2^t = 512[/tex]
[tex]2^t = 2^9[/tex]
[tex]t = 9[/tex]
The city will be half populated in 9 months.
To learn more about exponential functions, you can take a look at https://brainly.com/question/25537936
The table below shows the deposits (+) and withdrawals ( - ) each week for a newly opened bank account with a starting balance of $100.
DEPOSITS AND
WITHDRAWALS
Week 1+120
Week 2 -100
Week 3 +50
Week 4 P
Week 5 +200
Week 6 -100
Week 7 -25
Week 8 +50
Part A: What is the value of p if the account shows a zero balance after 4 weeks?
From the given table, the positive sign connote deposit while the negative sign connotes withdrawal.
If the account shows a zero balance after 4 weeks, we will take the sum of all deposits and withdrawals for the first four weeks and equate to zero as shown:
[tex]+120+(-100)+50+p=0[/tex]
Open the parenthesis:
[tex]+120-100+50+p=0\\20+50+p=0\\70+p=0[/tex]
Subtract 70 from both sides
[tex]70+p-70=0-70\\p=-70[/tex]
Hence the value of p if the account shows a zero balance after 4 weeks is -70
Learn more on deposits and withdrawals here: https://brainly.com/question/11443019
PLEASE HELPPPPP
Write the equation of the circle in standard form from the given information. Show all work.
Center (0,0)
Diameter = 14
Pls help with these questions!
Answer:
I don't know sorry
The expression 0.6+0.08n can be used to find the cost, in dollars, of making n photocopies. How much will clayton have to pay to make 32 photocopies?
Answer:
26.2
Step-by-step explanation:
Answer:
$3.16
Step-by-step explanation:
0.6+0.08n
Since n represents photocopies, then we replace n with 32.
0.6+0.08(32)
Now we multiply.
0.6+2.56
Finally, add.
0.6+2.56=3.16
So, Clayton will have to pay $3.16 to make 32 photocopies.
-hope it helps
6. Rachael is married with 2 dependents. Her salary as a dental hygienist is $47,650 paid
in 26 pay periods. Find the state tax withheld per pay period.
Answer:1.2389 million US$
Step-by-step explanation:
Two side of a triangle have the following measures.
Answer:
add the two then subtract the two and put those answers in each box :)
Step-by-step explanation:
hope this helped! happy holidays!
Find the quotient.
3/8÷ 2/7
3/28
1 5/16
16/21
1 3/28
Answer:
B
Step-by-step explanation:
[tex] \frac{3}{8} \div \frac{2}{7 } \\ = \frac{3}{8} \times \frac{7}{2 } \\= \frac{21}{16} \\ = 1 \frac{5}{16} [/tex]
A car is driving at 100kilometers per hour. How far, in meters, does it travel in 2 seconds? Give answer to
nearest meter.
Answer:
72
Step-by-step explanation:
brainlest pls
I need help on this 1 problem on math
Answer:
x = 21
Step-by-step explanation:
2x+78 = 5x+15,
because corresponding angles will allow (2x+78) to move diagonally from 5x+15.
from built geometry knowledge,
angles diagonal from one another equal,
because (example) the angle above it would be 180-(2x+78),
then 5x+15 = 180 - [180-(2x+78)], which would ultimately be 5x+15 = 2x+78.
so, 2x+78 = 5x+15
78-15 = 5x-2x
63 = 3x
21 = x
(2+√3)+(4-√3)
[tex] [/tex]
Explanation :
________________________________
Given:
(2+√3)+(4-√3)
To Find:
Evaluate the expression
Solution:
⇨Step 1:
Remove the parentheses
(2+√3)+(4-√3)
When there is + or no sign in front of an expression in parentheses, the expression remains the same
= 2 + √3+ 4-√3
⇨Step 2:
Cancel the opposite terms √3 and -√3
"Two numbers are opposites if they have the same absolute value but different signs"
= 2 + 4
⇨Step 3:
Add the numbers
= 6
Hence (2+√3)+(4-√3) = 6.
The values in the five-number summary divide a data set into four quarters.
A. True
B. False
Answer:
The values in the five-number summary divide a data set into four quarters.
→ True
Mark me as brainlist plz :)
Answer:
the answer is TRUE
Step-by-step explanation:
Activity 1.
Direction. Using the diagram below, form ratios. Express them in lowest term to
To form a proportion
Answer:
6:3 =2:12:2=1:16:13:24:14=2:7Whats the solution to this problem
9^3x-3=81x+2
how to solve this problem the answer is -555498
hii
l have some dought
Answer:
I'm sorry what?
Which is equivalent to the following expression? (2x - 1)(x + 3)
Answer:
2x2+5x−3
Step-by-step explanation:
Expand the polynomial using the FOIL method.
The length of a slide on a swing set is 10 ft. The
distance from the base of the ladder to the base of the slide
is 2 ft more than the height of the ladder. Find the height of
the ladder.
Answer:
6cm
Step-by-step explanation:
let height of ladder be x
so if height of ladder is x then the distance from the base of the ladder to the base of the slide is x+2
Assuming this is a right angle triangle, the slide is the longest lenght (c)
so
x²+(x+2)²=10²
x²+x²+4x+4=100
2x²+4x+4=100
2x²+4x+4-100=0
2x²+4x-96=0
2(x²+2x-48)=0
x²+2x-48=0 -- Factor
(x+8)(x-6)=0
x=-8 and x=6
since height cannot be a negative number
height of ladder is 6 cm
The base length is 8 feet. Then the height of the triangle will be 6 feet.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The length of a slide on a swing set is 10 ft.
The distance from the base of the ladder to the base of the slide is 2 ft more than the height of the ladder.
Let x be the length of the height of the triangle. Then the base of the triangle will be (x + 2).
10² = (x + 2)² + x²
100 = x² + 4x + 4 + x²
96 = 2x² + 4x
48 = x² + 2x
0 = x² + 2x - 48
0 = (x - 6)(x + 8)
x = 6, -8
Then the base length is 6 ft. Then the height of the triangle will be
B = x + 2
B = 6 + 2
B = 8 ft
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
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