Answer: 180ft
Step-by-step explanation:
Evaluate the following
Lim (xcotx)
x->00
Answer:
1
Step-by-step explanation:
Evaluate the following
Lim (xcotx)
x->0
Note that cotx = cosx/sinx
The expression becomes
Lim (xcotx) = Lim (xcosx/sinx)
x->0 x->0
= 0cos0/sin0
= 0/0 )(ind)
Apply l'hospital rule
= Lim d/dx(xcosx/sinx)
x->0
= lim (-xsinx + cosx)/cosx
x->0
= -0sin0+cos0/cos0
= 0+1/1
= 1/1
= 1
Hence the limit of xcotx as x tends to zero is 1
The sum of 7 and twice a number is 4. Write an equation.
the total cost of kurts required textbooks this quarter is $342.50. optional textbooks cost a total of $65.25. whicg inequality shows the total cost C that kurt could pay for his textbooks?
Answer:
342.5 + 65.25 = C
407.75 = C
Step-by-step explanation:
Given that the total cost of Kurt's required textbooks this quarter is $ 342.50, while optional textbooks cost a total of $ 65.25, to determine which inequality shows the total cost C that Kurt could pay for his textbooks, the following mathematical reasoning must be performed:
Mandatory books + optional books = Cost
342.5 + 65.25 = C
407.75 = C
Thus, Kurt could pay a total cost of $ 407.75 for his textbooks this quarter.
Using two or more complete sentences, describe and correct the error in the solution.
Solve the system of equations.
3x - 2y = 2
9x - 6y = 6
3x - 2y = 2 → 9x - 2y = 6
9x - 6y = 6 → 9x - 6y = 6
-8y = 12
y = 1.5
3x - 2y = 2 → 3x - 2(1.5) = 6
3x - 3 = 6
3x = 9
x = 3
Answer:
In the very first step, when they multiply both sides by 3 the -2y should become -6y but instead it stays as -2y. The correct solution would be:
9x - 6y =6
9x - 6y = 6
0 = 0
This means there are infinite solutions.
please help! i need help
photo is not clear send clearer image
5.
0.5, 1.4, 3.0, 7.0, 0.5, 1.8, 0.5
Mean
Median
Mode
Answer: mean- 2.1
Median- 1.4
Mode- 0.5
Step-by-step explanation:
A right triangle is a triangle that includes one right angle, measuring 90
degrees. It doesn't matter which of the three angles is 90 degrees. As long as
one of them is, it's a right triangle.
What does a triangle need to have in order to be a right triangle?
A
two sides of equal length
B
one 90 degree angle
C
one obtuse angle
D
three sides of equal length
Answer:
B) one 90 degree angle
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i know
i will give you brainliest whoever answers correct first!!
Answer:
X = 24
Step-by-step explanation:
180 - 156 = 24
These are supplementary and equal to 180.
On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the test?
3.Write a series of equations that could be used to solve this. define your varbibles
4.Solveby any algebraic method. Work must be shown.
Answer:
The test has 8 questions of 2 points, as well as 16 of 4 points and 4 of 5 points.
Step-by-step explanation:
Since, on a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions, the test is worth a total of 100 points and there are twice as many 2-point questions as 5- point questions on the test, to determine how many 2-point questions are on the test, the following calculation must be performed:
18 x 2 + 9 x 5 + 1 x 4 = 36 + 45 + 4 = 85
16 x 2 + 8 x 5 + 4 x 4 = 32 + 40 + 16 = 88
14 x 2 + 7 x 5 + 7 x 4 = 28 + 35 + 28 = 91
12 x 2 + 6 x 5 + 10 x 4 = 24 + 30 + 40 = 94
10 x 2 + 5 x 5 + 13 x 4 = 20 + 25 + 52 = 97
8 x 2 + 4 x 5 + 16 x 4 = 16 + 20 + 64 = 100
Thus, the test has 8 questions of 2 points, as well as 16 of 4 points and 4 of 5 points.
Suppose you deposit 900 dollars into a bank with 5% simple interest. The amount in the account after t years is given by A(t)=900(1.05)t (in dollars).
1. What is the average rate of change for the first year? Rate (in dollars per year): 900(1.05)-900
2. What is the average rate of change for the first five years? Rate (in dollars per year):
3. What is the average rate of change for the first ten years? Rate (in dollars per year):
4. Does the average rate of change increase or decrease as time from the initial deposit gets longer?
Answer:
1. 45 dollars per year.
2. 49.73 dollars per year.
3. 56.6 dollars per year.
4. Increases
Step-by-step explanation:
Average rate of change
The average rate of change of a function [tex]f(x)[/tex] over an interval [a,b] is given by:
[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]
In this question, we have that:
[tex]A(t) = 900(1.05)^t[/tex]
1. What is the average rate of change for the first year?
[tex]A(0) = 900(1.05)^0 = 900[/tex]
[tex]A(1) = 900(1.05)^1 = 945[/tex]
So
[tex]A = \frac{A(1)-A(0)}{1-0} = \frac{945-900}{1-0} = 45[/tex]
45 dollars per year.
2. What is the average rate of change for the first five years?
[tex]A(0) = 900(1.05)^0 = 900[/tex]
[tex]A(5) = 900(1.05)^5 = 1148.65[/tex]
[tex]A = \frac{A(5)-A(0)}{5-0} = \frac{1148.65-900}{5-0} = 49.73[/tex]
49.73 dollars per year.
3. What is the average rate of change for the first ten years?
[tex]A(0) = 900(1.05)^0 = 900[/tex]
[tex]A(10) = 900(1.05)^{10} = 1466[/tex]
[tex]A = \frac{A(10)-A(0)}{10-0} = \frac{1466-900}{10-0} = 56.6[/tex]
56.6 dollars per year.
4. Does the average rate of change increase or decrease as time from the initial deposit gets longer?
From the previous items, it increases.
Machine A and machine B both make car parts.
Machine A makes 7 parts every 10 minutes.
Machine B makes M6 parts every 15 minutes,
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday
Samantha is making a trapezoidal picture frame. She measured the frame. One of the bases is 6.5 cm and the height is 8 cm. What must the length of the other base be in order for the area of the frame to be between 45 2 and 60 2 ? Circle all that apply
Answer:
between 45 and 60?
Step-by-step explanation:
5.5 and 8,
Four pounds of apples cost $5. Eight pounds of apples cost $10. If the total cost of apples, y, varies directly with the number of pounds of apples purchased, x, what is the cost of 6 pounds of apples? Round your answer to the nearest hundredth.
$0.80
$1.25
$4.80
$7.50
Cost of apples, y, varies directly with pounds
of apples purchased, x.
y = kx
k is constant of proportion
Four pounds of apples cost $5
5 = 4k
k = 5/4 = 1.25
10 = 8k
k = 10/8 = 1.25
As it should be, k is a constant equal to 1.25
y = 6(1.25) = $7.50 for 6 pounds of apples
Answer:
the answer is D
Step-by-step explanation:
i took the test on edg your welcome
PLEASE HELP WITH THE FOLLOWING. WILL GIVE BRAINLIEST. THANK YOU
Answer:
50.8°Step-by-step explanation:
First, we need to use the Pythagorean Theorem to find the third side. We will then use the law of cosines to find the angle.
2√15² = 2√6² + b²
60 = 24 + b²
Subtract 24
36 = b²
b = 6
Now, that we have all three sides, we will use the law of cosines to figure out the angle.
c² = a² + b² - 2abCosC°
Substitute the values in.
6² = 2√15² + 2√6² - 2(2√15)(2√6)CosC°
36 = 60 + 24 - 2(37.947331922)CosC°
36 = 60 + 24 - 75.894663844CosC°
36 = 84 - 75.894663844CosC°
Subtract 84
-48 = -75.9CosC°
0.63241106719 = CosC°
Arccos (0.63241106719) = 50.77176844°
The largest acute angle is approximately 50.8°
The diameter of the circle shown below is 12. What is the area of the circle?
12
7
Answer:
113.1 square inches.
A - (n+y) = 10y + 32
solve for y
25 POINTS Please respond
Answer:
y=-32/11+a/11-n/11
Step-by-step explanation:
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 115,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 6% each year. How many total fish did the company catch over the first 20 years, to the nearest whole number?
Answer:
Rounded to the nearest whole number, the company caught 1,360,630 fish in total over the 20 years.
Step-by-step explanation:
Given that a major fishing company does its fishing in a local lake, and the first year of the company's operations it managed to catch 115,000 fish but due to population decreases, the number of fish the company was able to catch decreased by 6% each year, to determine how many total fish did the company catch over the first 20 years, to the nearest whole number, the following calculation must be performed:
Year 1: 115,000
Year 2: 115,000 x 0.94 = 108,100
Year 3: 108,100 x 0.94 = 101,614
Year 4: 101,614 x 0.94 = 95,517.16
Year 5: 95,517.16 x 0.94 = 89,786.13
Year 6: 89,786.13 x 0.94 = 84,398.96
Year 7: 84,398.96 x 0.94 = 79,335.02
Year 8: 79,335.02 x 0.94 = 74,574.92
Year 9: 74,574.92 x 0.94 = 70,100.42
Year 10: 70,100.42 x 0.94 = 65,894.40
Year 11: 65,894.40 x 0.94 = 61,940.73
Year 12: 61,940.73 x 0.94 = 58,824.29
Year 13: 58,824.29 x 0.94 = 54,730.83
Year 14: 54,730.83 x 0.94 = 51,446.98
Year 15: 51,446.98 x 0.94 = 48,360.16
Year 16: 48,360.16 x 0.94 = 45,458.55
Year 17: 45,458.55 x 0.94 = 42,731.03
Year 18: 42,731.03 x 0.94 = 40,167.17
Year 19: 40,167.17 x 0.94 = 37,757.14
Year 20: 37,757.14 x 0.94 = 35,491.71
TOTAL: 1,360,629.60
Thus, rounded to the nearest whole number, the company caught 1,360,630 fish in total over the 20 years.
John bought 18 pizzas. Mitchel bought 12 pizzas. What percent of the total number of pizzas Mitchel buy?
Answer: 40%
Step-by-step explanation: The total number of pizzas is 12 + 18 = 30. Mitchel bought 12 of those 30 pizzas. To find the percentage you do the portion/total. Thus 12/30 = 0.4, as a proportion. To turn a proportion into a percentage simply multiply by 100. 0.4 * 100 = 40%
The product of two rational numbers:
Answer:
"The product of two rational numbers is rational."
So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication. Thus, multiplying two rational numbers produces another rational number.
Step-by-step explanation:
Answer: Is a rational number.
Step-by-step explanation: Two rational numbers produces another rational number. "The product of two rational numbers is rational." So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.
x^{2} -17x-60=
please give me the answer
Answer:
60
Step-by-step explanation:
Find the value of x that would prove this is an isosceles trapezoid. Then find each segment length.
Answer:
Check pdf
Step-by-step explanation:
At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill. What is the tax rate for meals in this city
Answer:
8.5
Step-by-step explanation:
1.87/22 = 0.085 x 100 = 8.5%
What is the multiplicative inverse of y?
9514 1404 393
Answer:
1/y
Step-by-step explanation:
The multiplicative inverse of an expression is its reciprocal. It is the value that, when multiplied by the original, give a product of 1 (the multiplicative identity element).
Here, that is ...
1/y
because (y)(1/y) = y/y = 1.
_____
Additional comment
Zero (0) does not have a multiplicative inverse.
what is four times the sum of twelve and a number in algebraic expression
40÷ 1/25
1/3÷15
Change this mixed number into a improper fraction 3 5/9
11/15×3/44
1/8×32
54 1/2-42 3/4
3/4-1/2
15/16-7/16
Find the common denominator 3/5 and 7/9
Find the common denominator 3/9 and 1/4
Help please!!!
FREE BRAIN LIST NEED HELP ASAP
Answer:
i am not to sure but i thinks it D and can you help me with mine i really need help i will give brainlest too
Step-by-step explanation:
Answer:
D) 9.8
Step-by-step explanation:
Because you use h^2 = a^2 + b^2
and yiu rearranged the equation for one of the sides to get x = square root of h^2 and b^2 and get 9.79... which rounds to 9.8
Can someone please help me
Answer:
3a⁴b³
Step-by-step explanation:
subtract exponents and divide numbers
Convert:
150 oz =
Lb
OZ
Answer:
9.375
Step-by-step explanation:
Answer:
9.375
Step-by-step explanation:
divide the mass value by 16.
150 / 16 = 9.375
-2p-4=2 pls help me.
Answer:
p= -3
Step-by-step explanation:
-2p-4=2
+4 +4
-2p=6
/-2 /-2
p=-3
2.50 divided by 5 stepbystep
Step-by-step explanation:
it is just 2.50 divided by 5 will give you 0.5