Answer:
-√2
Step-by-step explanation:
f(x) = sinx + cosx
f'(x) = cosx - sinx
f''(x) = -sinx - cosx
f''(pi/4) = -sin(pi/4) - cos(pi/4) = -√2
A real estate company wants to build a parking lot along the side of its building with 1100 square feet of fence. If the side along the building needs no fence, what are the dimensions (if feet) of the largest possible parking lot?
Answer:80,00
Step-by-step explanation: got this answer from someone else on Brainly let me know if it is right
Utilize graphing to find the solution to
the following system of equations.
y = 5x - 10 AND – 5x + y = 40
A
All Real Numbers
B
No Solution
Answer:
Step-by-step explanation:
No solutions, the two lines are parallel.
An easy way to spot it is to put the second in slope-intercept form ([tex]y=5x+40[/tex]) and notice they have the same slope
Cara loves coffee. She has a Coffee Club card that has $80 on it. She buys a large cup each day that costs $2.50. Which of the following inequalities and solution set determine how many days, d, her Coffee Club card will last.
2.5d ≤ 80
d ≤ 160 / 5
d ≤ 32
card will last 32 days
18
82 ÷ 42-369
Can you
Hey there!
8^2 ÷ 4^2 - 36 ÷ 9
= 8 × 8 ÷ 4 × 4 - 36 ÷ 9
= 64 ÷ 16 - 36 ÷ 9
= 4 - 36 ÷ 9
= 4 - 4
= 0
Therefore, your answer is: 0
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A bakery is collecting data to investigate how changing the price charged for a loaf of bread affects the bakery’s daily profit. The graph shows the data the bakery has collected. Which quadratic function is the best model for the data? y = − 8 ( x + 4 ) 2 + 800 y = − 8 ( x + 4 ) 2 + 800 y = − 8 ( x − 4 ) 2 + 800 y = − 8 ( x − 4 ) 2 + 800 y = − 200 ( x + 4 ) 2 + 800 y = − 200 ( x + 4 ) 2 + 800 y = − 200 ( x − 4 ) 2 + 800
Considering the vertex of the graph, it is found that the quadratic function that is the best model for the data is given by:
[tex]y = -200(x - 4)^2 + 800[/tex]
What is the equation of a quadratic function given it’s vertex?The equation of a quadratic function, of vertex (h,k), is given by:
[tex]y = a(x - h)^2 + k[/tex]
In which a is the leading coefficient.
Researching the problem on the internet, it is found that the vertex is at point (4,800), hence h = 4 and k = 800.
[tex]y = a(x - 4)^2 + 800[/tex]
It has a value of y = 0 at x = 6, hence:
[tex]0 = a(6 - 4)^2 + 800[/tex]
[tex]a = -200[/tex]
Thus, the model is:
[tex]y = -200(x - 4)^2 + 800[/tex]
More can be learned about quadratic functions at https://brainly.com/question/24737967
Hello can someone please answer this question i will mark you the Brainliest
Answer:
1350
Step-by-step explanation:
Cube is made with 6 squares. That means once you find the area of one face, you can multiply it by 6.
Area of one square = 15 x 15 = 225
SA= 6 x 225 = 1350 cm^2
Suppose that x = x(t) and y = y(t) are both functions of t. If x^2 + y^2 = 25, and dx/dt = 2 when x = 3 and y = 4, what is dy/dt?
Answer:
dy/dt = -3/2
Step-by-step explanation:
x² + y² = 25
2x dx/dt + 2y dy/dt = 0
x dx/dt + y dy/dt = 0
3 * 2 + 4 dy/dt = 0
so
dy/dt = -6/4 = -3/2
HELPP 15 POINTS PLEASE PLEASE PLEASE
Answer:
a+(n-1)14
Step-by-step explanation:
ok so
a=the first number which is 16.50
n=the term.eg since 30.50 is the second number it's the second term
14 is the common difference d
I found 14 like this
30.50=16.50+(2-1)d
Therefore d=14
hence the formula is a+(n-1)14
You borrow $20,000 to purchase a car. The interest rate is 7.5%. The loan is for 10 years. What is the total amount payed? How much would the payment be each month?
Answer:
$35,000
$291.67
Step-by-step explanation:
Assuming that this loan uses simple interest, the equation for this problem will be A=P(1+rt). In this formula: A is the total amount paid, P is the initial amount, r is the rate in decimal form, and t is the time in years.
First, set up the equation by plugging the known values into the formula.
A = 20,000(1+0.075*10)Next, uses this information to find A
A = 35000This means that the total amount paid was $35,000.
Next, find the monthly payments. Using the time in years, we can figure out that this loan was paid over 120 months. Additionally, the monthly payment was equal for each month. This means that to find the monthly payment, simply divide the total amount by the number of months.
35000/120 ≅ $291.67Each month, approximately $291.67 was paid.
Answer:
$28,488 repaid$237.40 monthlyStep-by-step explanation:
The monthly payment on a loan is given by the amortization formula. The total amount repaid is the product of the monthly payment and the number of payments made.
The amortization formula is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . . principal P, interest rate r, t years
For the loan values given here, this is ...
A = 20,000(0.075/12)/(1 -(1 +0.075/12)^(-12·10)) ≈ 237.40
The total repaid over 120 payments is ...
$237.40 × 120 = $28,488
The total amount paid is $28,488. The monthly payment is $237.40.
__
Additional comment
The payment and total paid can be computed using a suitable calculator, spreadsheet, or app. The attached picture is from an Android version of a TI-84 calculator. It comes with a built-in set of financial functions, similar to those found in a spreadsheet.
how does knowing 1/5 of help me find 3/5 of 10
Answer:
One fifth is like you saying one fifth of something, so if you have 3 fifths of something it's just 3 times more than one fifth. so like 1/5 is 20% so 3/5 is 3 times more which is 60%
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
1/5 of 10 is 2,
so if you have 3/5, it is the same as 1/5 3 times.
1/5 of 10 is 2, so for 3/5 of 10 you multiply 2 by 3.
1/5 of 10 = 2
2/5 of 10 = 4
3/5 of 10 = 6
4/5 of 10 = 8
5/5 of 10 = 10
Let f(x) be the function 4x2 - 6x + 11. Then the quotient
f(10 + h) – f(10)
can be simplified to ah + b for:
h
a
and
b
[tex]f(x) = 4 {x}^{2} - 6x + 11[/tex]
[tex]f(10 + h) = 4 ({10 + h})^{2} - 6(10 + h) + 11 \\ [/tex]
[tex]f(10 + h) = 4(100 + 20h + {h}^{2}) - 60 - 6h + 11 \\ [/tex]
[tex]f(10 + h) = 400 + 80h + 4 {h}^{2} - 60 - 6h + 11 \\ [/tex]
[tex]f(10 + h) = 4{h}^{2} + 74h + 351[/tex]
_____________________________________________
[tex]f(10) = 4 ({10})^{2} - 6(10) + 11[/tex]
[tex]f(10) = 400 - 60 + 11[/tex]
[tex]f(10) = 351[/tex]
_____________________________________________
Thus :[tex] \frac{f(10 + h) - f(10)}{h} = \\ [/tex]
[tex] \frac{4 {h}^{2} + 74h + 351 - (351)}{h} = \\ [/tex]
[tex] \frac{4 {h}^{2} + 74h }{h} = \\ [/tex]
[tex] \frac{4 {h}^{2} }{h} + \frac{74h}{h} = \\ [/tex]
[tex]4h + 74[/tex]
_____________________________________________
[tex]ah + b[/tex]
[tex]4h + 74[/tex]
So :
[tex]a = 4[/tex]
[tex]b = 74[/tex]
Find the value of 10x and 30
Answer:
x=3
Step-by-step explanation:
10x=30
Divide both sides by the co-efficient of x which is 10
10x = 30/10
10
x =3
Aliyyah.
The graph shows the solution to which system of inequalities?
21 ≤ x2 + (y + 6)2 and 84 ≤ (x + 8)2 + y2
21 ≤ x2 + (y + 6)2 and 84 ≥ (x + 8)2 + y2
21 ≥ x2 + (y + 6)2 and 84 ≤ (x + 8)2 + y2
21 ≥ x2 + (y + 6)2 and 84 ≥ (x + 8)2 + y2
Answer:
D
Step-by-step explanation:
The shaded area is the intersection of the two inner areas of the two circles.
Because the area is inside both circles, the two inequalities must be less than or equal to the equation of the circles.
(If the inequalities are greater than or equal to the equation of the circles, the shaded areas will lie outside the circle.)
Hence, choice D is the correct choice.
It may assist to rewrite the inequalities such that it becomes apparent the equations are indeed less than or equal to the constant:
[tex]\displaystyle x^2 + (y+6)^2 \leq 21 \text{ and } (x+8)^2 + y^2 \leq 84[/tex]
Answer:
D
Step-by-step explanation:
The system of equations has 2x-y=2(x+1) y=-2
A. no solution
B. one solution
C. infinitely many solutions
Answer:
A.
Step-by-step explanation:
This equation has no solution.
$ 425 is what percent more than $125 ?
Answer:
240%
Step-by-step explanation:
100 x (425 - 125) / 125
Afiqah,Johan anda Rizal received a sum of money in the ratio of 1:2:4.Afiqah and johan received a total of $240.How much money did Rizal received?
Answer: Rizal recieved $320
Step-by-step explanation:
240/1 + 2 = 80
80 x 4 = 320
1:2:4
80:160:320
To make a batch of rice, 20 cups of water are combined with 10 cups of rice. How many cups of water are needed for one cup of rice?
2 cups of water
solving steps:
20 cups of water → 10 cups of rice
rearrange the following
10 cups of rice → 20 cups of water
divide both sides by 10
1 cup of rice → 2 cups of water
Answer:
2 cups of water
Step-by-step explanation:
Given ratio for a batch of rice:
water : rice = 20 : 10 (cups)
Let x = cups of water needed for 1 cup of rice:
⇒ 20 : 10 = x : 1
write as fractions:
⇒ 20 / 10 = x / 1
cross multiply:
⇒ 20 × 1 = x × 10
⇒ 20 = 10x
solve for x:
⇒ x = 20/10
⇒ x = 2
Therefore, 2 cups of water are needed for 1 cup of rice.
Solve for x.
√4x−24−=x−6
Enter your answers in the boxes.
Answer:
there must be some errors in the qn
Answer:
[tex]x=10,\:x=6[/tex]
Step-by-step explanation:
[tex]\sqrt{4x-24}=x-6[/tex]
[tex]4x-24=x^2-12x+36[/tex]
[tex]x=10,\:x=6[/tex]
[tex]\mathrm{The\:solutions\:are}[/tex]
[tex]x=10,\:x=6[/tex]
In the diagram, △RST ∼ △XYZ. Find the scale factor from △RST to △XYZ.
Answer:
2.5
Step-by-step explanation:
35/14 = 2.5
25/10 = 2.5
15/6 = 2.5
divide the bigger over the newer one over the older one to get your scale factor
Determine if true:
3x9^2=188
Answer:
False
Step-by-step explanation:
3x9=27
27^2=729
279=188
The numbers dont match.
Hence, the equation is false.
Answer: False
Step-by-step explanation:
3×9^2=188
Calculate 9 to the power of 2 and get 81.
3×81=188
Multiply 3 and 81 to get 243.
243=188
Compare 243 and 188.
False
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
John recorded the number of cars passing a traffic signal at intervals of 2 minutes. He plotted his data on this graph.
The slope of the line is
, and the y-intercept is
.
Answer:
Slope: 20/7
Y-intercept: 0
Step-by-step explanation:
Hello!
This is a regular graph, and we can find out several things from it, including slope and y-intercept.
The slope is basically how steep or flat the line is. The more flat it is, the bigger the slope. The more steep it is, the more smaller the slope. We can find the slope by using rise over run, seeing how many values it rises over how many values it runs over the x-axis.
The y-intercept is basically where the line starts from in the y-axis. The y-axis is a vertical line usually at the left most area.
To find out the slope, we can see the best fit blue line, and we have to find the most accurate slope. In this problem, the line doesn't go through perfectly with the grid at until around (14, 40). Don't get mistaken for (2,5)! It's not an accurate slope. Since it goes UP and rises 40 and 'runs' 14 units, the slope is that but simplified.
\frac{40}{14} =\frac{20}{7}
The y-intercept is where the line starts from the y-axis, where it labels 'cars'. As you can see, the blue line starts at zero, so there is no y-intercept.
To take it further, the equation of the line is y=mx+b, where m is the slope and b is the y-intercept. In this problem, the equation would be
y=[tex]\frac{20}{7}[/tex]x.
Hope this helped!
Answer:
this guy is half right
Step-by-step explanation:
0 is right but not 20/7
A child is being pushed by his father. The father starts swinging the child at a height of one foot. Each successive push increases the height of the child by 15%. How many pushes will it take for the child to reach a height of 20 feet?
The father would have to push the child approximately 127 times for the child to attain a height of 20feet
Data;
Initial height = 1 footSuccessive increase = 15% = 0.15 ftMaximum height = 20 feetNumber of Push = ?The Number of Push RequiredTo calculate the number of push required, we have to write an equation to represent this.
[tex]y = 1 + 0.15x[/tex]
y = maximum number of push
x = number of times required to push
[tex]20 = 1 + 0.15x\\20 - 1 = 0.15x \\19 = 0.15x\\\frac{19}{0.15} = \frac{0.15x}{0.15} \\x= 126.6\\x = 127[/tex]
The father would have to push the child approximately 127 times for the child to attain a height of 20feet
Learn more on equations here;
https://brainly.com/question/16863577
What happens to the circumference and area if the radius is tripled
Answer:
it increase the area ninefold.
Step-by-step explanation:
Show all work below to answer the following for a certain city that had a population of 150,000 in the year 2010. In 2020, the population was 185,000.
a. Find the constant rate of continuous growth, k, for this population. (Please round to 5 decimal places)
b. When will the population reach 250,000 people?
a. 2020-2010=10 185000-150000=350000 35000:10=3500 (population growth per year) 3500:365=9 (growth per day) 9:24=0.375(growth per hour)
b. 2020-2010=10 185000-150000=350000 35000:10=3500 250000-185000=65000 65000:3500=18 2020+18= 2038
find the area of the triangle when the height is 3 1/4 and the base is 4 4/5
Here is a picture with the answer to you question
Find the surface area of the composite figure.
3 cm
3 cm
8 cm
8 cm
7 cm
7 cm
12 cm
10 cm
SA = [?] cm2
If you'd like,
you can use a
calculator
Enter
HELP PLSSS<3
The surface area of the composite figure is 662 square cm
Surface area of a figure.The surface area of the sum of all the area of the faces of a figure. The given figure is made up of two rectangular prism.
The surface area of a rectangular prism is given as;
TSA = 2(lw + wh + lh)
l is the length
w is the width
h is the height
Determine the required surface area
TSA = 2[(3)(3)+3(8)+3(8)]+2(7(10)+7(12)+10(12)]
TSA = 2(9+48)+2(190+84)
TSA = 114 + 548
TSA = 662 square cm
Hence the surface area of the composite figure is 662 square cm
Learn more on surface area of a figure here: https://brainly.com/question/1090412
#SPJ1
Jill bought 3 pints of strawberries for $3.98 each. What is the best estimate of how much Jill spent?
Answer:
i dont know but its $3.00 or $9,00
Step-by-step explanation:
Answer: 12.00 $
Step-by-step explanation: First things first, you need to estimate $3.98 to $4.00.
Then mutiply the $4.00 with 3 because it says 1 pint for $4.00, and you will get $12.00.
Hopfuly this will help ヾ(＠^∇^＠)ノ.
Each side of a square is increased 6 inches. When this happens, the area is multiplied by 9. How many inches in the side of the original square?
Please explain the answer, words confuse me :
Answer:
x = 3 inches
Step-by-step explanation:
Let x = the side of the original square, so the area is x²
After increasing, the side becomes x + 6. so the area becomes (x + 6)²
The area is multiplied by 9 means
(x + 6)² = 9 * x²
Take a square root, get
x + 6 = 3 * x
2x = 6
x = 3 inches
Let L represent the side length of the original square.
Note that:
L² = A(L + 6)² = 9A1. Square root both sides:
(L + 6)² = 9 x L²=> √(L + 6)² = √9 x L²2. Simplify the RHS:
=> L + 6 = 3 x L=> L + 6 = 3L3. Subtract L from each side.
=> 6 = 2L4. Divide 2 both sides.
=> L = 3 inchesDouble check:Area of square with 3 inches as side length: 3² = 9 in²Area of square with 9 inches as side length: 9² = 81 in²=> 81 ÷ 9 = 9 (True)
This shows that the area of the original square is 9 times smaller than the increased square.
two lines a and b are perpendicular. line a has equation 3y-2x+2=0 and meets line b at the point(4,7). find the equation of line b
Answer:
Step-by-step explanation:
3y - 2x +2 = 0
3y = 2x - 2
[tex]y = \dfrac{2}{3}x-\dfrac{2}{3}[/tex]
y = mx + b
Slope of line a = 2/3
Product of slope of perpendicular line = -1
[tex]Slope \ of \ line \ b = \dfrac{-1}{\dfrac{2}{3}}=\dfrac{-3}{2}[/tex]
Equation of line b:
[tex]y=\dfrac{-3}{2}x+b[/tex]
Line b passes through (4,7)
[tex]7 = \dfrac{-3}{2}*4+b\\\\\\7= -6 + b\\\\b = 7 + 6\\\\b = 13[/tex]
Equation of line b:
[tex]y=\dfrac{-3}{2}x+13[/tex]
Multiply the equation by 2
2y = -3x + 26
3x + 2y - 26 = 0
if x=2 in the equation y=3x-5, what is the value of y?
Answer:1
Step-by-step explanation:
just plug them in
we know x =2
so in where ever it says x, we put in 2
y=3(2) -5
Answer:
y= 1
Step-by-step explanation:
y= 3x -5
To find the value of y when x= 2, replace x with 2 in the equation.
When x= 2,
y= 3(2) -5
y= 6 -5
y= 1