Answers
Answer:
C
Step-by-step explanation:
Related Questions
Can someone please help me with this by doing L hospitals rule?
Answers
Answer: [tex]\frac{-m^2+n^2}{2}[/tex]
If the font is too small, it says (-m^2+n^2)/2
==============================================
Explanation:
If you plug x = 0 into the original expression, then you'll get the indeterminant form 0/0 after simplifying.
Recall that cos(0) = 1
So we use L'Hospitals rule to derive the numerator and denominator separately (don't use the quotient rule)
[tex]\displaystyle \lim_{x\to0} \frac{\cos(mx)-\cos(nx)}{x^2}\\\\\\\displaystyle \lim_{x\to0} \frac{-m\sin(mx)+n\sin(nx)}{2x}\\\\\\[/tex]
Plug x = 0 into this new expression. You should get 0/0 again here as well, which means you'll have to do another round of L'Hospital
[tex]\displaystyle \lim_{x\to0} \frac{-m^2\cos(mx)+n^2\cos(nx)}{2}\\\\\\[/tex]
Now plugging in x = 0 leads to something that isn't indeterminant
Evaluating the limit gets us
[tex]\displaystyle \lim_{x\to0} \frac{-m^2\cos(mx)+n^2\cos(nx)}{2}\\\\\\=\frac{-m^2\cos(m*0)+n^2\cos(n*0)}{2}\\\\\\= \frac{-m^2+n^2}{2}\\\\\\[/tex]
Solve and graph the solution to the inequality. -4z+8<-27+z
Answers
Answer:
z>7
Step-by-step explanation:
subtract z from both sides, then subtract 8 from both sides. The, divide both by the -5 (and remember to flip the sign since you divided by a negative number).
What is the answer? (-3,7x) x (5.1y)
Answers
(−3.7x)(5.1y)
= −18.87xy
Bob starts off with a certain amount of oranges. After giving three away, he now has seven. How many oranges did bob start with?
Answers
A cheetah runs at a speed of 54 miles for every hour. If the distance traveled, I miles, is d and time, in hours, is t, which equation shows the e eels between d and t?
Answers
Answer:
I believe you already selected the correct answer in the picture
Sam is a forklift operator at a Los Angeles warehouse. A 500 kg crate arrived from Taiwan. His forklift can load 2,500 lb. He wants to know if it is safe to lift the crate. How many pounds does the crate weigh?
PLZZZ HELP
Answers
1 kg = 2.2 pounds ( rounded to the nearest tenth)
500 kg x 2.2 = 1,100 pounds
1100 pounds is less than 2,500 so the forklift can lift it.
Answer:
2,500= 1133.981
Step-by-step
The answer is 1133.981 bc you would have to use the conversion rate of lb to kg, so just 2500 lb × 0.45359237
= 1133.980925 kg
0.45359237 this is the conversion rate therefore 1134 is the answer (was rounded)
Which set is closed under multiplication?
A. integers
B. prime numbers
C. negative numbers
D. {5, 10, 15,20}
Answers
Step-by-step explanation:
A
Because the multiplication of two integers still results in an integer.
Maggie bought 30 pounds of produce to feed her hungry hippopotamus. Bananas cost $1 per pound; guavas cost $2 per pound; and dragon fruit costs $3 per pound. Maggie spent $46. The weight of the bananas that Maggie bought was twice the weight of the guavas and dragon fruit combined. Which system of equations in three variables can be used to determine how many pounds of each fruit Maggie bought?
Answers
Answer: Required system:
x+y+z=30
x+2y+3z = 46
x= 2y+2z
Step-by-step explanation:
let x= Number of pounds of bananas
y = Number of pounds of guavas
z = Number of pounds of dragon fruit
According to the question,
x+y+z=30 (i) (total fruits bought = 30 pounds)
Bananas cost $1 per pound; guavas cost $2 per pound; and dragon fruit costs $3 per pound and total cost = $46.
∴ x+2y+3z = 46 (ii)
Also, weight of the bananas= 2 (weight of the guavas+ weight of dragon fruit)
∴ x = 2(y+z)
⇒x= 2y+2z (iii)
from (i), (ii) and (iii)
x+y+z=30
x+2y+3z = 46
x= 2y+2z
are the equations for the required system.
Unit 8, Lesson 4
Practice Problems
1. A carnival game has 160 rubber ducks floating in a pool. The person playing the game
takes out one duck and looks at it.
If there’s a red mark on the bottom of the duck, the person wins a small prize.
If there’s a blue mark on the bottom of the duck, the person wins a large prize.
Many ducks do not have a mark.
After 50 people have played the game, only 3 of them have won a small prize, and none
of them have won a large prize.
Estimate the number of the 160 ducks that you think have red marks on the bottom.
Then estimate the number of ducks you think have blue marks. Explain your reasoning.
Answers
Answer:
3
Step-by-step explanation:
If the equation 2x
2 – 8x – 42 = 0 is solved by factoring, what is its positive
solution set?
A. {-3} B. {5} C. {6} D. {7}
Answers
Answer:
B.{5}
Step-by-step explanation:
2-8x-42=0
(÷2), we get,
1-4x-21=0
-4x-20=0
-4x=20
x=20÷(-4)
x=(-5)
since the question asks for a positive set, the answer is [x=5]
The positive solution set is D. {7}.
What is a set ?A set is a well defined collection of objects written by commas and closed by second brackets.
According to the given question the equation 2x² - 8x - 42 = 0 have two factors and we have write the positive factor in form of a set.
2x² - 8x - 42 = 0
x² - 4x - 21 = 0
x² -7x + 3x - 21 = 0
x(x-7) + 3(x - 7) = 0
(X+3) = 0 OR (x-7) = 0
x = -3 OR x = 7.
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If VZ=p–7 and WY=p–21, what is the value of p?
Answers
Answer:
35
Step-by-step explanation:
By the triangle midsegment theorem, 2(WY)=VZ.
So, 2(p-21)=p-7, meaning p=35.
Lines AB and CD and are parallel. Find the measures of the three angles in triangle ABF.
Answers
Answer: ∠B = 42° ∠A = 23° ∠F = 115°
Step-by-step explanation:
∠B≅∠C alternate interior angles 42°
∠CDF is supplementary to ∠CDE,
so m∠CDF = 23° and ∠FAB≅∠CDF so m∠FAB= 23°
also ∠A ≅ CDE corresponding angles 157° ∠FAB is suplementary to ∠A
so 180 - 157 = 23 gives the m∠FAB
The sum of the angles of a triangle is 180°, so m∠AFB = 180 -(23 +42)
180- 65 = 115 = m∠F
Which one of the following points lies on the
line y= 2x - 3
Answers
Answer:
its c (4,1)
Step-by-step explanation:
The required point for the given line is (0, -3). The correct option is (D).
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
The equation of the given line is y = 2x - 3.
In order to find the point lying on it, consider each of the options one by one as follows,
(a) (2 , 3)
Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,
LHS = y
= 7
RHS = 2x - 3
= 2 × 2 - 3
= 1
Since, LHS ≠ RHS, the given point is not the solution.
(b) (-2, -1)
Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,
LHS = y
= 7
RHS = 2x - 3
= 2 × -1 - 3
= -6
Since, LHS ≠ RHS, the given point is not the solution.
(c) (4, 1)
Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,
LHS = y
= 4
RHS = 2x - 3
= 2 × 1 - 3
= -1
Since, LHS ≠ RHS, the given point is not the solution.
(d) (0, -3)
Substitute x = 2 and y = 3 in the given equation to obtain LHS and RHS as,
LHS = y
= -3
RHS = 2x - 3
= 2 × 0 - 3
= -3
Since, LHS = RHS, the given point is the solution.
Hence, the point (0, -3) is the solution of the given equation.
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Need help mark you as brailiest
Answers
Answer:
C,F
Step-by-step explanation:
Jacob earns $15 per hour. He has saved $200 and is planning to buy a dresser that costs $500. Which of these represent the number of hours' pay, x, that Jacob must save to be able to purchase the dresser?
Answers
Answer:
500 - 200 = 300. 300 ÷ 15 = 20. Jacob needs 20 hours of pay for the dresser
i don’t really understand this
Answers
Answer:
you put the -3 where the x's are
Step-by-step explanation:
f(x)= -2(-3)^2 - 3(-3) + 6
i think i hope thats right
Answer:
Plug in -3 into all the x's are
Step-by-step explanation:
f(x)= -2(-3)²-3(-3)+6
Suppose the length of the diagonal of this rectangular television screen is 29 inches and the length of the base of the screen is 21 inches.
What is h, the height of the television screen?
A. 25 in.
B. 21 in.
C. 15 in.
D. 20 in.
Answers
1. Label the triangle: hypotenuse is 29
Since the hypotenuse is already given we need to subtract the following (because the hypotenuse is the longest side):
h squared = 29 squared - 21 squared
h squared = 841 - 441
h squared = 400
h = squared root of 400
h = 20
Answer:
D. 20 in
Step-by-step explanation:
What is the image point of ( 4 , − 6 ) (4,−6) after a translation right 5 units and up 4 units?
Answers
Answer:
(9,-2)
Step-by-step explanation:
5 is the x coordinate, and 4 is the y coordinate. When you go right a certain amount of units, you add those units to your x coordinate. If you were to go left a certain amount of units, you'd subtract them. Since we're going right, 5 + 4 = 9. When you go up a certain amount of units, you add those units to you y coordinate. If you were to go down a certain amount of units, you'd subtract them. Since we're going up, -6 + 4 = -2. So, x = 9 and y = -2, or (9,-2)
This figure represents a piece of a structure that will be built out of sheet metal. The construction crew needs 3 of these pieces.
How much sheet metal is needed to build all 3 pieces.
Enter your answer in the box.
Answers
Answer:
702 ft²
Step-by-step explanation:
The total surface area of the prism is the sum of the areas of its 7 faces.
lateral area
The width of each rectangular face is 8 ft. The total length of all of the rectangular faces is equal to the perimeter of the base:
7 ft +5 ft +3 ft +5 ft + 2 ft = 22 ft
So, the rectangular area is ...
A = LW = (8 ft)(22 ft) = 176 ft²
__
base area
The area of each base is equivalent to the area of a 5 ft×7 ft rectangle with a 3 ft×4 ft right triangle cut off one corner. The base area will be ...
A = LW -1/2bh
A = (5 ft)(7 ft) - 1/2(3 ft)(4 ft) = 29 ft²
__
area of one
So the total surface area of one structure is ...
lateral area + 2×(area of one base)
= 176 ft² +2(29 ft²) = 234 ft²
__
If 3 pieces are needed, the total amount of sheet metal needed for their construction is ...
(234 ft²) × 3 = 702 ft² . . . . needed to build all 3 pieces
Answer:
the answer is 702 I took the test
describe the pattern for each sequence ( the first box )
Answers
Answer:
2: decrease by 3
3: double total previous number
4: divide by haf of previous total
Step-by-step explanation:
2: decrease by 3
3: double total previous number
4: divide by haf of previous total
Have an amazing day!!
PLEASE RATE!!
3×7=21 is direct or indirect proportion. give a reason for your answer
Answers
I made a bunch of mini
pies to eat and give to my
neighbors for pie day. I
want to tie ribbons around
5 of them. The pies are
each 3 inches in diameter.
How many inches of ribbon
do I need?
Answers
Answer:
15 inches is needed of ribbon
Each leg of an isosceles triangle is 3 units less than the length of its base. If the perimeter is 30 units, how long is each leg
Answers
Answer: 9 units
Step-by-step explanation:
If f(x) = -4x - 5 and
g(x) = 3 - X,
what is g(-4) + f(1)?
Answers
If f(x) = -4x - 5 and g(x) = 3 - X,the value g(-4) + f(1) is equal to -2.
The function f(x) is f(x)=-4x-5
The function g(x) is g(x)=3-x
g(-4)=3-(-4)=3+4=7
f(1)=-4(1)-5=-9
g(-4)+f(1)=7+(-9)=7-9=-2
What is the composition of functions?
Composition is the process of the generation of new functions.It is basically applying a function to a function.The domain is also changed for the new function.A function is composed in mathematics when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.To learn more about the composition of function visit:
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please help with my math its Two-step mixed operation word problems
Answers
Answer: 5 more times.
Step-by-step explanation: In total, it takes her 4 minutes to climb to the top of the water slide and slide down. Because the water slide closes in 20 minutes, she can slide down more 5 times. 5 x 4 equals 20.
Have a great day! :)
Which graph best represents the following equation?
y + 3 = |x – 5|
Answers
Answer:
This one
Step-by-step explanation:
The graph of the function y + 3 = |x - 5| is the first diagram given in the options.
What is modulus function ?A modulus function always outputs positive numeric value irrespective of the sign of the input.
According to the given question we have to determine the graph of y + 3 = | x - 5 |.
So, y + 3 = | x - 5|
y = | x - 5 | - 3.
Now to obtain the vertex of the graph we'll set x -5 = 0 .
x = 5 and that corresponds to y value of -=3.
So, the vertex of the graph is (5,-3).
Now to plot the function we'll select some values of less than and greater than 5.
When x = 2 , y = 0. x = 4 , y = 2. x= 6 , y = -2. x = 8 y = 0.
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There are 35 ducks and pigs total on the farm. in total the number amount of legs they have among them is 98. assuming each duck has 2 legs and each pig has 4, how many ducks and how many pigs are in the field
Answers
Answer:
I believe there are 21 ducks and 14 pigs in the field
Step-by-step explanation
x+y=35
2x+4y=98
2x+2y=70
2x+4y=98
-2y=-28
y=14
x+14=35
x=35-14
x=21
21=ducks
14=pigs
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 blue?
Answers
Answer:
The probability of getting exactly iblue is [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
[tex]from\ the\ given\ condition.[/tex]
[tex]We\ only\ have\ two\ way.[/tex]
[tex]One\ way\ is\ the\ first\ one\ take\ the\ blue.[/tex]
[tex]one\ but\ the\ second\ one\ take\ red.\ one.[/tex]
[tex]Another\ way\ is\ the\ first\ one\ take\ the\ red.[/tex]
[tex]one\ but\ the\ second\ one\ take\ the\ blue.[/tex]
[tex]one.[/tex]
[tex]so.\ P_1=\frac{4}{9}\times\frac{5}{8}=\frac{5}{18}[/tex]
[tex]P_2=\frac{5}{9}\times\frac{4}{8}=\frac{5}{18}[/tex]
[tex]so.\ we\ have\ p=p_1+p_2=\frac{5}{18}+\frac{5}{16}=\frac{5}{9}[/tex]
I hope this helps you
:)
Find the value of x.
Answers
x = 4
Step-by-step explanation:
21x + 6 = 90°
21x = 90 - 6
21x = 84
x = 84/21
x = 4
Which equation represents the data in the table?
Answers
Answer:
C
Step-by-step explanation:
I usually solve these problems by process of elimination, but you can solve these differently!
A. y=1/2x. This would basically mean to divide x by 2 to get y. We can see 2/2=1, 4/2=2, 6/2=3, and 8/2=4. This does not match up with the table, where the numbers are 1, 5, 9, and 13. 1, 5, 9, and 13 are not equal to 1, 2, 3, and 4. So A is not our answer.
B. y=x-1. This would mean to subtract 1 from x to get y. 2-1=1, 4-1=3, 6-1=5, and 8-1=7. This does not match up with the table. 1, 3, 5, and 7 is not equal to 1, 5, 9, and 13.
C. y=2x-3. This would mean we would multiply 2 by x and subtract 3 to get y. 2*2-3=1, 2*4-3=5, 2*6-3=9, and 2*8-3=13. 1, 5, 9, and 13 are equal to 1, 5, 9, and 13, so this will be our answer.
D. y=3x-5. This would mean we would multiply 3 by x and subtract by 5. 3*2-5=1, 3*4-5=7, 3*6-5=13, and 3*8-5=21. This is not equal to 1, 5, 9, and 13.