Answers
Sorry if I get it wrong
Answer the correct choice is d 617.5
Related Questions
Pants $80 buy one at regular pric. Get a second one for half price. (How much for 2 pair?)
Answers
Answer:
$200 will be price of 2 pairs
Step-by-step explanation:
It is given that the price of one pant is $80
The second is given at half price which is $40
but in the case of pants buying or anything buying when we are given an off then after buying an item the same discount is given for all
so as he bought one pant then the other pant will be given at half price
now the third pant will also be given at half price i.e: $40
fourth price will also be given at $40
so four pants will become 2 pairs
price of 2 pairs = $80+$40+$40+$40
=$200
In January the price of a kilogram of brand X rice was $7.60.In May the price of a kilogram of Brand X rice became $8.80.Find the percent increase in price.
Answers
Answer:
15.79% is the percent increase in price
Step-by-step explanation:
As per the given statement: In January the price of a kilogram of brand X rice was $7.60.
⇒ Price of brand X in January = $7.60
Also, it is given that in May the price of a kilogram of Brand X rice became $8.80.
⇒ Price of brand X in May = $8.80
Increase in price = $8.80 - $7.60 = $1.20
To find the percent increase in price;
[tex]Percent increase in price =\frac{Increase in price}{Price of X in January} \times 100[/tex]
= [tex]\frac{1.20}{7.60} \times 100 = 15.79\%[/tex]
Therefore, the percent increase in price approx. is, 15.79%
The price of a kilogram of brand X rice increased by approximately 15.79% from January ($7.60) to May ($8.80).
To find the percent increase in price of the brand X rice from January to May, we first calculate the difference in price and then divide it by the original price.
After that, we multiply the result by 100 to get the percentage.
The original price in January was $7.60, and the new price in May was $8.80.
The difference in price is $8.80 - $7.60 = $1.20.
Now we divide the difference by the original price: $1.20 / $7.60 = 0.1579.
To find the percent increase, we multiply this number by 100: 0.1579 x 100 = 15.79%.
So, the price of a kilogram of brand X rice increased by approximately 15.79% from January to May.
The total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 189. The total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 15. Thirty more restaurant-purchased meals will be eaten in a restaurant than at home. Find the number of restaurant-purchased meals eaten in a restaurant, the number eaten in a car, and the number eaten at home.
Answers
Answer:
87 people in the restaurant, 45 people eat in the car and 57 people eat at home.
Step-by-step explanation:
Let x be 'restaurant-purchased meals eaten in a restaurant', y be the 'restaurant-purchased meals eaten in a car' and z be the 'restaurant-purchased meals eaten at home'.
We can use the given information "the total number of restaurant-purchased meals that the average person will eat in a restaurant, in a car, or at home in a year is 189" to write an equation [tex]x+y+z=189[/tex].
We can use the information "the total number of these meals eaten in a car or at home exceeds the number eaten in a restaurant by 15" to write another equation [tex]y+z=x+15[/tex].
We can use the information "thirty more restaurant-purchased meals will be eaten in a restaurant than at home" to write the third equation as x=z+30
Now we need to solve this system of three equations to get the values of x, y and z.
We can solve for x directly from the first two equations.
[tex]x+x+15=189\\2x=174\\x=87[/tex]
Substituting this value of x in the third equation we can get the value of z.
[tex]87=z+30\\z=57[/tex]
Finally, we can substitute the values of x and z in the first (or second) equation to get the value of y.
[tex]87+y+57=189\\y+144=189\\y=45[/tex]
Therefore, 87 people in the restaurant, 45 people eat in the car and 57 people eat at home.
Write a function rule for the table.
X f(x)
0 3
1 4
2 5
3 6
A. f(x) = x + 3
B. f(x) = –3 – x
C. f(x) = x – 3
D. f(x) = 3x
Answers
Plug in the variables to see if it works or did you check any problem like this
Answer:
the linear function is y = x +3
A is correct option.
Step-by-step explanation:
The slope intercept form of a line is given by y = mx +b, where b is the y-intercept and m is the slope.
For y-intercept, x =0
From the given table, at x = 0, f(x)=3
Therefore, y-intercept, b= 3
Hence, the equation is in the form y = mx+3
Now, use the point (1,4) to find m
4 = m(1)+3
4 = m +3
m = 1
Therefore, the linear function is y = x +3
A is correct option.
An open box is made from a rectangular piece of cardboard measuring 12 inches by 16 inches by cutting identical squares from the corners and turning up the sides. What are the lengths of the sides of the removed squares if the area of the bottom of the open box is 60 in square inches?
show work please.
Answers
Answer: 12 inches
Step-by-step explanation: First you add multiply then subctrtrac.t
The size of the squares cut from each corner of the cardboard is 3 inches to create an open box with a bottom area of 60 square inches.
We need to compute the size of the squares cut from each corner of the cardboard to create an open box with a bottom area of 60 square inches. We begin with a rectangular piece of cardboard measuring 12 inches by 16 inches.
Let x be the length of the sides of the squares that are removed. When the squares are cut out and the sides are folded up, the new dimensions of the bottom of the box will be (12 - 2x) inches by (16 - 2x) inches. Thus the area of the bottom will be:
(12 - 2x)(16 - 2x) = 60Expanding the left side of the equation:
[tex]192 - 24x - 32x + 4x^2 = 60[/tex]Combine like terms and set the equation equal to zero:
[tex]4x^2 - 56x + 132 = 0[/tex]Divide all terms by 4 to simplify:
[tex]x^2 - 14x + 33 = 0[/tex]Factor the quadratic equation:
(x - 11)(x - 3) = 0Setting each factor equal to zero gives us the possible values for x:
x = 11 or x = 3Since the cardboard's dimensions are only 12 inches by 16 inches, x cannot be 11, because it would not leave any base for the box. Therefore, x must be 3 inches.
Hence, the lengths of the sides of the squares removed from each corner are 3 inches.
2 Math Questions about coordinates
Answers
Answer:
y = -3
x = -2
Step-by-step explanation:
2x - y = 17
y = x - 10
Adding these 2 equations:-
2x + y - y = 17 + x - 10
2x = x + 7
x = 7
Now substitute for x in the first equation:-
2(7) - y = 17
14 - 17 = y
y = -3 (answer)
Last equation:-
x + 3y = 16
4x - 5y = -38
Now multiply first equation by 5 and the second by 3:-
5x + 15y = 80
12x - 15y = -114 Adding:-
17x = -34
x = -2 (answer)
A forest covers 43,000 acres. A survey finds that 0.2% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answers
Answer:
8,600 acres are old-growth trees.
Step-by-step explanation:
You can find this by multiplying the percentage by the overall number of acres
20% * 43,000 = 8,600
Answer:
There are 86 acres of old-growth trees.
Step-by-step explanation:
In order to answer the question, we need to calculate the 0.2% of 43,000.
We can calculate this stating that exists a linear relationship between the percentage and the amount of acres. We also need to state that 43,000 acres are the 100% of the acres.
Therefore, we can write the following equation to calculate the percentage :
[tex]\frac{43,000}{100}=\frac{x}{0.2}[/tex]
If we solve the equation in terms of ''x'' :
[tex]x=(\frac{43,000}{100}).(0.2)=86[/tex]
[tex]x=86[/tex]
We find that if 43,000 acres are the 100% of the acres ⇒ The 0.2% of the acres are 86 acres (in which there are old-growth trees).
A sign says that the price marked on all music equitment is 30% off the original price. You buy an electric guitar for the sale price of $315. What is the original price?
Answers
Answer:
$450 is the original price
Step-by-step explanation:
We can create a proportion to find the sale on the original price. A proportion is an equation where two ratios are set equal to each other. We create two fractions using the prices and percents. It is marked down by 30% so we pay 70% of the original. The sale price is $315.
[tex]\frac{70}{100} =\frac{315}{x}[/tex]
We begin solving by cross multiplying numerator to denominator of each fraction.
[tex]70(x)=100(315)\\70x=31500\\\frac{70x}{70}=\frac{31500}{70} \\450=x[/tex]
Which equation shows a line that is parallel to the line
Answers
The width of Florida is 4/5 of its length if the length of Florida is about 450 miles what is the approximate width
Answers
.8 * 450 = 360 miles
Tyler baked 702 cookies. He sold them in boxes of 18. After selling all of the boxes of cookies for the same amount each, he earned $136.50. How many boxes of cookies did Tyler sell
Answers
Answer:
I'm not quite sure but I believe he sold 39 Boxes for $3.50 a box.
Step-by-step explanation:
-You would divide 702 by 18 Since he puts them in boxes of 18.
702/18= 39
-Then you would divide $136.50 by 39
136.5/39= 3.5
Which means each box was $3.50 a piece
Tyler sold 39 boxes of cookies, with the price of each box is $3.5
Further explanation
Given:
Tyler baked 702 cookies
He sold them in boxes of 18 cookies
Tyler earned $136.50
Question:
How many boxes of cookies did Tyler sell?
to find out how many boxes of cookies he sold we are going to divide the total cookies he made with the number of cookies in each box
[tex]\boxed {= \frac{702}{18} = 39 }[/tex]
so there were 39 boxes of cookies. He sold all of them and earned $136.50. Price per box would be:
[tex]\boxed {\frac{136.50}{39} = 3.5 }[/tex]
With total earned $136.50, Tyler sold 39 boxes of cookies at $3.5/box
Learn MoreMixed fraction brainly.com/question/213168
Division big numbers brainly.com/question/1955444
Division brainly.com/question/11688736
Keywords: mixed fraction, fraction, division, division big numbers, math word problem, multiplication
Please answer this question! Thirty points and brainliest!
Answers
Answer:
choice A
Step-by-step explanation:
Closed circles on the end of the number line means we include it in our inequality (has an equals)
-3 <= x <= 1
Answer:
The answer is A.
Step-by-step explanation:
Susan’s business makes handmade dresses. The business sells three different kinds of dresses: evening gowns, sundresses, and cocktail dresses. To make an evening gown, it takes 3 hours to cut the material, 2 hours to pin the pieces together, and 5 hours to sew the dress. To make a sundress, it takes 1 hour to cut the material, 1.5 hours to pin the pieces together, and 3 hours to sew the dress. To make a cocktail dress, it takes 2 hours to cut the material, 1 hour to pin the pieces together, and 2.5 hours to sew the dress. Susan’s employees spent a total of 54 hours cutting, 38.5 hours pinning, and 91 hours sewing in a particular week. How many of each type of dress did they produce? That week, the employees produced evening gowns, sundresses, and cocktail dresses.
Answers
Total number of evening dresses, sundresses, cocktail dresses are 9 , 7, 10 respectively.
What is an equation?An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
How to find how many of each type of dress did they produce?Let the number of evening dresses produced be x , sundresses produced be y and cocktail dresses produced be z.
According to the problem,
To produce a evening dress 3 hours of cut is required.To produce a sundress 1 hour of cut is required.To produce a cocktail dress 2 hours of cut is required.Total tie spent in cutting is 54 hours∴ We can write 3x + y + 2z = 54........(1)
Again, according to the problem,
To produce a evening dress 2 hours of pin is required.To produce a sundress 1.5 hours of pin is required.To produce a cocktail dress 1 hour of pin is required.Total tie spent in pinning is 38.5 hours∴ We can write 2x + 1.5y + z = 38.5........(2)
Again,
To produce a evening dress 5 hours of sew is required.To produce a sundress 3 hours of sew is required.To produce a cocktail dress 2.5 hours of sew is required.Total tie spent in sewing is 91 hours∴ We can write, 5x + 3y + 2.5z = 91......(3)
We have to solve the three equations.
From equation (1) we can write , y = 54 - 3x - 2z
Putting the value of y in equation (2), we get,
2x + 1.5(54- 3x - 2z) + z = 38.5
⇒ 2x + 81 - 4.5x - 3z + z = 38.5
⇒ 2z + 2.5x = 42.5.....(4)
Again, putting the value of y from equation (1) in equation (3), we get,
5x + 3(54- 3x - 2z) + 2.5z = 91
⇒ 5x + 162 - 9x - 6z + 2.5z = 91
⇒ 4x +3.5z = 71
⇒ x = (71 - 3.5z)/4
Putting the value of x in equation (4)
2z + 2.5{(71 - 3.5z)/4} = 42.5
⇒ 8z + 177.5 - 8.75z = 170
⇒ -0.75z = -7.5
⇒ z= 10
Again putting the value of z in equation (4)
x = (71 - 35)/4 = 9
Putting the value of x and z in equation (1)
y = 54 - 27 - 20
⇒ y = 7
Number of evening dress = 9
Number of sundresses = 7
Number of cocktail dresses= 10
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In that week, the employees produced 7 evening gowns, 7 sundresses, and 9 cocktail dresses in total.
Given equations:
[tex]\[3x + y + 2z = 54\] (1)[/tex]
[tex]\[2x + 1.5y + z = 38.5\] (2)[/tex]
[tex]\[5x + 3y + 2.5z = 91\] (3)[/tex]
We'll use the method of elimination to solve this system of equations.
Step 1: Multiply equation (2) by 2 to eliminate [tex]\(z\):[/tex]
[tex]\[4x + 3y + 2z = 77\] (4)[/tex]
Step 2: Subtract equation (1) from equation (4) to eliminate [tex]\(x\):[/tex]
[tex]\[(4x + 3y + 2z) - (3x + y + 2z) = 77 - 54\][/tex]
[tex]\[x + 2y = 23\] (5)[/tex]
Step 3: Multiply equation (1) by 2 and subtract equation (2) from it to eliminate [tex]\(y\):[/tex]
[tex]\[6x + 2y + 4z - (2x + 1.5y + z) = 108 - 38.5\][/tex]
[tex]\[4x + 3z = 69.5\] (6)[/tex]
Step 4: Multiply equation (5) by 2 and subtract equation (6) from it to solve for [tex]\(x\):[/tex]
[tex]\[2(x + 2y) - (4x + 3z) = 46 - 69.5\][/tex]
[tex]\[2x + 4y - 4x - 3z = -23.5\][/tex]
[tex]\[4y - 3z = -23.5\] (7)[/tex]
Step 5: Now, let's multiply equation (7) by 3 and add it to equation (6) to solve for [tex]\(z\):[/tex]
[tex]\[3(4y - 3z) + 4x + 3z = -23.5\][/tex]
[tex]\[12y - 9z + 4x + 3z = -23.5\][/tex]
[tex]\[4x + 12y - 6z = -23.5\] (8)[/tex]
[tex]\[4x + 3z = 69.5\] (6)[/tex]
Now, add equations (8) and (6):
[tex]\[4x + 12y - 6z + 4x + 3z = -23.5 + 69.5\][/tex]
[tex]\[8x + 12y - 3z = 46\][/tex]
Step 6: Plug in the values of [tex]\(x\) and \(z\)[/tex] into equation (6) to solve for [tex]\(y\):[/tex]
[tex]\[8x + 12y - 3(69.5 - 4x) = 46\][/tex]
[tex]\[8x + 12y - 208.5 + 12x = 46\][/tex]
[tex]\[20x + 12y = 254.5\][/tex]
[tex]\[20x = 254.5 - 12y\][/tex]
[tex]\[x = \frac{254.5 - 12y}{20}\] (9)[/tex]
Step 7: Substitute the value of [tex]\(x\)[/tex] from equation (9) into equation (5) to solve for [tex]\(y\):[/tex]
[tex]\[\frac{254.5 - 12y}{20} + 2y = 23\][/tex]
[tex]\[254.5 - 12y + 40y = 460\][/tex]
[tex]\[28y = 205.5\][/tex]
[tex]\[y = \frac{205.5}{28}\][/tex]
y ≈ [tex]7.34[/tex]
Step 8: Substitute the values of[tex]\(x\) and \(y\)[/tex] into equation (1) to solve for [tex]\(z\):[/tex]
[tex]\[3x + y + 2z = 54\][/tex]
[tex]\[3(\frac{254.5 - 12y}{20}) + y + 2z = 54\][/tex]
[tex]\[3(\frac{254.5 - 12(7.34)}{20}) + 7.34 + 2z = 54\][/tex]
z ≈ 8.72
Since we can't produce a fraction of a dress, we'll round [tex]\(y\)[/tex] down to 7 and [tex]\(z\)[/tex]up to 9.
So, the employees produced approximately:
- 7 evening gowns
- 7 sundresses
- 9 cocktail dresses
Complete Question:
Math question for 10 points and brainliest! See picture
Answers
[tex]y=\dfrac{1}{2}x+2\\\\for\ x=0\to y=\dfrac{1}{2}(0)+2=0+2=2\to(0;\ 2)\\\\for\ x=2\to y=\dfrac{1}{2}(2)+2=1+2=3\to(2;\ 3)\\\\y=2x-1\\\\for\ x=0\to y=2(0)-1=0-1=-1\to(0;\ -1)\\\\for\ x=2\to y=2(2)-1=4-1=3\to(2;\ 3)\\\\Look\ at\ the\ picture.\\\\Answer:\ (2;\ 3)\to x=2;\ y=3.[/tex]
Ari thinks the perfect milkshake has 33 ounces of caramel for every 55 scoops of ice cream. Freeze Zone makes batches of milkshakes with 66 ounces of caramel and 88 scoops of ice cream. What will Ari think about Freeze Zone's milkshakes?
Answers
[tex] \frac{33}{55} \: = \: \frac{66}{88} k[/tex]
[tex] \frac{3}{5} \: = \: \frac{6}{8} k[/tex]
[tex] \frac{3}{5} \: = \: \frac{3}{4} k[/tex]
[tex]k \: = \: \frac{4}{5} [/tex]
Since, k ≠ 1,
Ari will think Freeze Zone's Milkshakes don't have the required quality.
Answer:
Too much caramel.
Step-by-step explanation:
An individual borrowed ?$89000 at an APR of 6?%, which will be paid off with monthly payments of ?$638 for 20 years. The number of payments per year
Answers
Answer: Total payments = $153,120
Interest paid = $64,120
Step-by-step explanation:
$638 x 12 months x 20 years = $152,120
Paid: $152,120
Borrowed: $89,000
Difference: $64,120
Juan's cell phone company charges $35 a month for phone service plus $0.50 for each text message.How many text messages does Juan send in a month if his bill was $52?
Answers
First, you have to subtract 35 from 52. The answer you should get is 17. If you divide 17 by $.50 you should get 34. Hope this helped!
The number of text messages sent by Juan in a month is 34.
What is the process of division?Multiplication is the inverse of division. If three parties of 4 add up to 12, 12 split into three equal groups adds up to 4 in each collective in division. The main goal of separating is to determine how many equal categories form or how many people are in each collective when sharing fairly.For the given question;
Total bill charged to Juan's cell by phone company is $52.
phone service = $35.
text message charge = $0.50 each.
The total cost for message is 52 - 35 = $17.
The number of messages = total message cost/ charge of each message
The number of messages = 17 / 0.5
The number of messages = 34
Thus, the number of text messages sent by Juan in a month is 34.
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Which expression is equivalent to 5x - 5x + 3x - 3x?
A) -16x
B) -4x
C) 4x
D) 0
what the answer
Answers
the answer is 0
which is d
PLEASE HELP!!!!!!!!
WILL MARK BRAINLEST
What is the justification for each step in solving the inequality?
2x+ 2/3 ≤3x− 5/6
Select from the drop-down menus to correctly justify each step.
2x+ 2/3 ≤3x− 5/6 Given
2x≤3x− 3/2
−x≤− 3/2
−x/−1 ≤ − 3/2 −1
x≥ 3/2
Answers
First is "given", but we don't have to worry about that
Second is "subtraction property" because we subtract 2/3 from both sides
Third is "subtraction property" for similar reasons as before, but we subtract 3x from both sides
Fourth is "division property" because we divide both sides by -1. Note how the inequality sign flips. This is because we divide both sides by a negative number.
The last would be something along the lines of "simplify" or "reduce"
helpp please
Which equation could be solved to find y, the measure of adc?
Answers
Answer:
C
Step-by-step explanation:
We can use the formula for chords ,and tangents
< ABC = 1/2 (ADYC - AC)
61 = 1/2(y - 119)
Answer:
Option C. [tex]\frac{1}{2}[/tex] ( y-119 ) = 61
Step-by-step explanation:
In the given diagram AB and AC are tangents to circle O.
Length of arc AC = 119°
Inscribed angle between tangents AB and BC is 61°
We have to find the measure 'y' of arc ADC.
As we know the formula
m∠A = [tex]\frac{1}{2}[/tex] [m( arc ADC ) -m(arc AC)]
Now we put the values in this equation
61 = [tex]\frac{1}{2}[/tex] ( y-119 )
So Option C 61 = [tex]\frac{1}{2}[/tex] ( y-119 ) is the answer.
Which of the following mappings is not a function?
Answers
A function in mathematics is a mapping where each input has exactly one output. A mapping is not a function if any input in the mapping maps to multiple outputs.
Explanation:In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. So a mapping is not a function if any input maps to multiple outputs.
For instance, if we have a mapping {a -> 1, b -> 2, c -> 1}, it is a function because even if 'a' and 'c' have the same output '1', it's okay because each individual input ('a', 'b', 'c') relates to exactly one output. But if we have a mapping {a -> 1, a -> 2}, this is not a function because 'a' maps to two different outputs ('1' and '2').
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Kevin is riding his bike to work. He can bike 6 1/2 kilometers in 3/5 of an hour. How many kilometers can Kevin bike in one hour?
Answers
Answer:
If Kevin can ride 13/2 kilometers in 3/5 of an hour then he can ride 13/6 in 1/5 of an hour. If you multiply 1/5 of an hour by 5 you would get an hour which would also be 5x the distance as 13/6. Kevin can bike 65/6 or 10 and 5/6 kilometers in an hour.
paris run 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 mile. About how far does paris run?
Answers
Answer:
5.497787144 miles
Step-by-step explanation:
Remember that circumference of a circle can be calculated with:
[tex]2\pi r[/tex]
r=radius
We also know that the radius is just a half of the diameter.
So, the radius of the track is (1/2)/2=1/4 miles
Now, use the circumference of a circle formula to find how much she runs in 1 lap.
[tex]2\pi (\frac{1}{4} )[/tex]
Simplify
[tex]\frac{\pi }{2}[/tex]
This is how much she runs in 1 lap.
Multiply by 3.5 for 3 and a half laps.
[tex]\frac{\pi }{2}*3.5[/tex]
The answer is around 5.497787144 miles.
15 points!!!!!!The median AM of triangle ∆ABC is half the length of the side towards which it is drawn, BC . Prove that triangle ∆ABC is a right triangle.
Answers
Points A, B, and C are equidistant from point M, so lie on a circle centered at M. That makes BC a diameter, and it means that inscribed angle BAC intercepts an arc of 180°.
The measure of the inscribed angle is half the measure of the arc, so ∠BAC is 90° and ΔABC is a right triangle.
Final answer:
Given that the median AM of triangle ∆ABC is half the length of BC, by showing that triangles ADM and BMC are congruent with the right angle at A, we prove that ∆ABC is a right triangle because the median to the hypotenuse is half its length.
Explanation:
Given that the median AM of triangle ∆ABC is half the length of side BC, to prove that triangle ∆ABC is a right triangle, we can use the properties of triangles and the definition of a median.
Let's denote the midpoint of BC as D such that AD is the median and AD = DB = DC since AM is half of BC and M coincides with D.
Now, consider triangles ADM and BMC. They are right triangles because AD and DM are perpendicular to BC (definition of a median from a vertex to the midpoint of the opposite side). In ∆ADM and ∆BMC, we have AD = DB and DM is common.
Hence, triangles ADM and BMC are congruent by the Side-Side-Side (SSS) criterion. This implies that AM = MB and angle AMD (or AMB) is a right angle.
Since AM is also the median, for it to be equal in length to MB (half of BC), the only way this is geometrically possible is for triangle ABC to be a right triangle with the right angle at A. This is because the median to the hypotenuse of a right triangle is always half the length of the hypotenuse, which in this case is side BC.
Therefore, triangle ∆ABC must be a right triangle.
Please help! Need answered! Please and thank you.
Answers
Answer:
1. lim x→0 7e^x =7
2. lim f(x) does not exist
f(3) = 5
3. 1/12
Step-by-step explanation:
f(x) = 7e^x
lim x→0 7e^x =7
AS we can see from the graph it is around 7
We know that e^0 =1 so 7*1 =7
2. The limit does not exists, because approaching the limit from the left f(3-) is 3. Approaching the limit from the right f(3+) is 5. f(3) = 5 since there is a closed circle at 3 with a value of 5.
3. f(x) = x^ 1/2
We take the derivative
f'(x) = 1/2 x^ (-1/2)
= 1/2 1/( x^.5)
To find it at x=36
= 1/2 * 1/( 36^.5)
= 1/2 * 1/6
= 1/12
Since they are not equal, the limit does not exist.
Use the picture below to find the length of x. Round your answer to the nearest hundredth.
Answers
Answer: 6.71
=======================================
Work Shown:
The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.
Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x
a^2 + b^2 = c^2
3^2 + 6^2 = x^2
9 + 36 = x^2
45 = x^2
x^2 = 45
x = sqrt(45)
x = 6.7082039
x = 6.71
The population of a pack of wolves is 88. The population is expected to grow at a rate of 2.5% each year.
Which function equation represents the population of the pack of wolves after t years?
f(t)=88(0.025)^t
f(t)=88(1.025)^t
f(t)=88(1.25)^t
f(t)=88(2.5)^t
Answers
Answer:
Option B is correct.
[tex]f(t) = 88(1.025)^t[/tex] represents the population of the pack of wolves after t years
Step-by-step explanation:
The exponential growth function is given by;
[tex]f(t) = a(1+r)^t[/tex] ......[1]
where
a represented the initial value
r represents the rate(in decimal)
t represents the time in years
As per the given statement: The population of a pack of wolves is 88. Also, the population is expected to grow at a rate of 2.5% each year.
⇒ a = 88 and r =2.5% = 0.025.
Substituting these values in equation [1], we have;
[tex]f(t) = 88(1+0.025)^t[/tex]
or
[tex]f(t) = 88(1.025)^t[/tex]
Therefore, the population model of the pack of wolves after t years is given by: [tex]f(t) = 88(1.025)^t[/tex]
Final answer:
The correct function equation that represents the population of the pack of wolves after t years is f(t) =[tex]88(1.025)^t[/tex]
Explanation:
The population of a pack of wolves can be represented by an exponential function equation. In this case, the population is expected to grow at a rate of 2.5% each year.
The correct function equation that represents the population of the pack of wolves after t years is f(t) = [tex]88(1.025)^t[/tex]
This equation takes the initial population of 88 and multiplies it by 1.025 raised to the power of t, which represents the number of years.
Kris has a box of 8 crayons. Silvia, s box has 6 times of many crayons as Kris box . How many crayons are in sylvia box
Answers
An insurance policy pays 80% of the first $20,000 of a patient's medical expenses, and 60% of the remainder. If the patient's total medical bill is $72,000, how much will the policy pay?
Answers
In the described insurance policy, 80% of the first $20,000 is covered, which is $16,000. The remaining amount from the total cost of $72,000 is $52,000, of which 60%, or $31,200, is covered. Therefore, the total amount paid by the insurance policy is $47,200.
Explanation:The subject is dealing with a situation of an insurance coverage. The insurance policy pays 80% from the first $20,000 and 60% from the remaining amount of the medical bill. If the total amount of the medical bill is $72,000, we have to find out how much would the policy pay.
First, calculate 80% of the first $20,000: (80/100) * 20,000 = $16,000. The remainder of the medical bill above $20,000 would be $72,000 - $20,000 = $52,000. Then, calculate 60% of this remaining $52,000: (60/100) * 52,000 = $31,200. Finallly, add the two amounts, $16,000 + $31,200 = $47,200.
So, the insurance policy will pay $47,200 towards a total medical bill cost of $72,000.
Learn more about Insurance coverage calculation here:https://brainly.com/question/15702391
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Sal recorded the number of crackers in each snack-sized package he opened. Which statement must be true according to the box plot? The data is symmetric, and the lowest number of crackers in a package was 7. The data is symmetric, and the lowest number of crackers in a package was 8. The data is skewed, and the lowest number of crackers in a package was 7. The data is skewed, and the lowest number of crackers in a package was 8.
Answers
Answer:
The data is skewed, and the lowest number of crackers in a package was 7
Step-by-step explanation:
Hi,
First of all, since the question was incomplete due to the missing capture of the range shown on the box plot. I attached it for you so I could answer your question as well.
Taking into consideration the attached image's information, symmetric would be right down the middle, but it is not.
The image shows that it is positively skewed with the lowest number being 7.
Answer:
c
Step-by-step explanation:
did it on edge