Answer:
D) [tex](-5,0),(3,0)[/tex]
Step-by-step explanation:
[tex]f(x)=x^2+2x-15\\\\0=x^2+2x-15\\\\0=(x+5)(x-3)\\\\x=-5,x=3\\\\(-5,0),(3,0)[/tex]
what is the midpoint of a segment with These endpoints (-6,-9) and (16,5)
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 16 -6}{2}~~~ ,~~~ \cfrac{ 5 -9}{2} \right)\implies \left( \cfrac{10}{2}~~,~~\cfrac{-4}{2} \right)\implies (5~~,~-2)[/tex]
A chemist is using 344 milliliters of a solution of acid and water. If 17.2% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
An open box with a square base is to have a volume of 18 ft^3.
(a) Find a function that models the surface area A of the box in terms of the length of one side of the base x.
(b) Find the box dimensions that minimize the amount of material used. (Round your answers to two decimal places.)
Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
The box dimensions that minimize the amount of material used are; side length of base = 3.30 ft and height = 1.65 ft
How to minimize area?a) We know that a box has length, width and height and so volume of a box is;
V = L × W × H
Now, we are told the base of the box is square and if we label it x, then we have to function that models the volume as;
V = x²h
where x is side of square base and h is height.
Thus surface area function is;
S = x² + 4xh
b) We are told that the volume is 18 ft³ and so;
x²h = 18
Thus;
h = 18/x².
Put 18/x² for h in the surface area function to get: S = x² + 4x(18/x²)
S = x² + 72/x.
To get minimum, we have to find derivative of S. Thus;
S' = 2x - 72/x² = 0,
Thus;
2x³ = 72
x³ = 72/2
x³ = 36
x = 3.3 ft
Thus;
h = 18/3.3²
h = 1.65 ft
Read more about minimizing area at; https://brainly.com/question/17219343
Question 6
Express this decimal as a fraction.
?
1.21 =
^ it has a line over the 21.
Answer:
1.(21) = 120/99
Step-by-step explanation:
that's right answer ig :)
Determine whether each point lies on the graph of the equation.
y = |x − 2| + 3
(a)
(3, 4)
Yes, the point is on the graph.
No, the point is not on the graph.
(b)
(−2, 0)
Yes, the point is on the graph.
No, the point is not on the graph.
which linear equation best represents the data given in the table?
answers-
y=4x-3
y=3x+4
y=3x-4
y=4x+3
Question 3 of 30
Choose the one expression below that is true.
A. (3 + 2) + 10 = 3 + (2 + 10)
Answer:
what are the other options?
4) Describe the different types of Semantics, when and how are they applied, what are the advantages or disadvantages to each type.
Answer:
Operational semantics are classified in two categories: structural operational semantics (or small-step semantics) formally describe how the individual steps of a computation take place in a computer-based system; by opposition natural semantics (or big-step semantics)
Q3.
3, x, x+6.... Are three consecutive terms in a geometric sequence I) find possible values for x if x is positive.
Answer:
x = 6
Step-by-step explanation:
The ratio of consecutive terms is the same, so we have ...
x/3 = (x +6)/x
x^2 = 3(x +6) . . . . . . multiply by 3x
x^2 -3x -18 = 0 . . . . subtract 3(x+6), simplify
(x -6)(x +3) = 0 . . . . factor
x = 6 . . . . . . . . . the only possible positive value
___
Additional comment
The zero product rule tells you that a product will be zero if and only if a factor is zero. That is, the solutions to this equation are values of x that make the factors zero: x = 6, x = -3.
What is the median of this group of numbers?
25, 35, 35, 40, 41, 45, 100
o
39.5
o
40
o
40.5
o
41
Pls tell me the answer
Answer:
40
Step-by-step explanation:
40 is in the middle there are three numbers to either side
Answer:
40 because it is in the middle
Basketballs used in professional games must have a circumference of 29 inches.
What is the surface area of a basketball used in a professional game?
Answer: 841 / pi inches^2
Step-by-step explanation:
circumference of circle on the sphere = 2*pi*r
surface area of sphere = 4 * pi * r^2
29 inches = 2 * pi * r
r = 29 / (2 * pi) inches
surface area of sphere = 4 * pi * r^2
= (2 * pi * r) * 2 * r
= (29 inches) * 2 * (29 / (2 * pi) inches)
= (29 inches) * (29 / (pi) inches)
= 841 / pi
exact answer is 841 / pi inches^2
which is approximately 267.7 inches^2
At a college 60% of the undergraduates are female. If 1680 women attend the college, how many total undergraduates attend the college?
Answer:
1008
Step-by-step explanation:
Which of the following is the equivalent fraction to 1/4
Answer:
2/8 , 4/16 , 25/100
Step-by-step explanation:
you didn’t give me no answer choices but here is some that match that.
My dad paid 72% of the cost of my shoes and I paid the rest. If my dad paid $54.18, what was the total cost of my shoes?
Answer:
$93.19
Step-by-step explanation:
first we have to identify 72% as a decimal
72/100=0.72
then we have to multiply 0.72 by $54.18.
0.72 x $54.18 = $39.01
Your dad paid $39.01, but now we have to identify how much is the total.
$54.18 + $39.01 = $93.19
(Hope I could help!)
Answer:
$93.19
Step-by-step explanation:
54.18 x .72 = 39.0096 [Round] 39.01
54.18+39.01=93.19
Total cost of your shoes is $93.19
Draw a tree and fine the prime factors 150
Answer:
I'm not drawing a tree but 2 x 3 x 5^2=150
Step-by-step explanation:
Billy's dog weighs 30 pounds. Ruth's dog weighs two sixths as much as Billy's dog. How many pounds do Billy's dog and Ruth's dog weigh in all?
The number of pounds that Billy's dog and Ruth's dog weigh in all is; 40 pounds
Algebra Word Problems
Weight of billy's dog = 30 pounds
Weight of Ruth's dog = 2/6 of billy's dog = 2/6 * 30 = 10 pounds
Thus, total weight of both billy and ruth's dog is;
Total weight = 30 + 10
Total weight = 40
Read more about Algebra Word Problems at; https://brainly.com/question/13818690
7, 2, x, 15, 20, 8, 14, 29; median: 13 x = ?
Answer:
12
Step-by-step explanation:
As there are 7 values in the given set, and one is missing, then the full set comprises 8 values.
2,7,8,14,15,20,29.
The middle value is 14 so we need another value, v such that, ½(14 + v) = 13.
This solves as v = 12.
The full set now is,2,7,8,12,14,15,20,29.
NEED THIS ASAP NO WORK SHOWN NEEDED
Answer:
35 degrees
Step-by-step explanation:
180 - 110 = 70 (TUW and UWT together)
70 / 2 = 35 (UWT)
Since the other part is congruent, we can assume it is also 35.
Answer:
m∠UWV = 35°
Step-by-step explanation:
Angle V is similar to Angle T
so angle V is 110°
---------------------------------------------------------------------------------------------
The triangle UVW is a isosceles triangle with two similar sides.
m∠UWV = ( 180° - 110° ) ÷ 2
= 35°
A cell phone has 30% of its charge left. Which number line shows a point that represents 30%?
A.
B.
C.
D.
Answer:
C
(second to bottom)
since it has 3 out of 10 ticks marked
and 30% = 3/10
4. There are 4 cartons of orange juice in each package. If there are 79 cartons of orange juice, how many packages can be filled? 79 : 4 = So, packages can be filled.
Answer:
The answer is 19.75 or 19 packs and one pack going to have 3 out of 4 cartons
Step-by-step explanation:
There are 4 cartons in each bundle, for a total of 79 cartons. You'd take 79 and split it by four to get 19.75. It would have been 20 if there were 80 cartons of orange juice.
A computer repair shop buys fan cables from two suppliers. A west coast supplier sells the cables for $4.39 each and charges $38 to ship the order. An east coast supplier sells the cables for $3.14 each and charges $63 for shipping. How many cables (
c
) must the repair shop purchase so the total cost from each supplier is the same?
1.
Step 2: What does the variable represent in this problem?
The variable
c
represents the number of fan cables purchased.
The variable
c
represents the cost for each fan cable.
The variable
c
represents the cost for all fan cables shipped.
The variable
c
represents the total cost to ship the fan cables ordered.
Answer:
20
Step-by-step explanation:
Let x be the number of cables.
Let y be the total cost.
Therefore,
West coast: y = 4.39x + 38
East coast: y = 3.14x + 63
if the total cost is the same, equate the equations and solve for x:
y = y
4.39x + 38 = 3.14x + 63
4.39x - 3.14x = 63 - 38
1.25x = 25
x = 25 ÷ 1.25 = 20
Therefore, the repair shop should purchase 20 cables for the total cost from each supplier to be the same.
Espa Maya's chocolate bar is 29% cocoa. If the weight of the chocolate bar is 67 grams, how many grams of cocoa does it contain? Round your answer to the nearest tenth.
Answer:
19.4 g (rounded to the nearest tenth)
Step-by-step explanation:
Convert the percentage to a decimal by dividing by 100:
29% = 29/100 = 0.29
To find 29% of 67, multiply the decimal percentage by the total amount:
0.29 x 67 = 19.43
= 19.4 g (rounded to the nearest tenth)
solve the problem and find the answer
Answer:
Step-by-step explanation:
im in elementary so i do not know
Can someone help me with a basic geometry question :c
10 ft
12 ft
8 ft
16 ft
Answer:
140 ft²
Step-by-step explanation:
You find the area of each shape (rectangle and triangle) and add them together.
1. To find the area of the rectangle multiply the width (16) by the length (8) to get 128 ft².
2. Then to find the area of the triangle you need to first find the missing sides of the triangle. To find the height subtract the 12ft by the 8ft to get a height of 4 ft. The find the length by subtracting the 16 ft by the 10 ft.
3. Now we multiply the height and and length then divide by 2 to get 24ft/2 which equals an area of 12ft².
4. Now that we have the areas of each shape, we add the areas together. 128 ft² + 12 ft² = 140 ft²
Find the distance between the points (-4,-3) and (-1,7) round to the nearest tenth
Answer:
[tex]\sqrt{109}[/tex] units
Step-by-step explanation:
To find the distance between two points on a graph, we use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex] where [tex]d[/tex] is the distance between points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
For this problem, we will identify [tex](x_1,y_1)\rightarrow(-4,-3)[/tex] and [tex](x_2,y_2)\rightarrow(-1,7)[/tex]:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(7-(-3))^2+(-1-(-4))^2}\\\\d=\sqrt{10^2+3^2}\\\\d=\sqrt{100+9}\\\\d=\sqrt{109}[/tex]
Therefore, the distance between [tex](-4,-3)[/tex] and [tex](-1,7)[/tex] is [tex]\sqrt{109}[/tex] units
Quadrilateral PEST has vertices (0, -5), (9, 2), (12, 13), and (3, 6), respectively.
a) Sketch a graph of the quadrilateral.
b) Classify the quadrilateral as a square, rectangle or rhombus.
c) Determine the intersection point of the diagonals.
will give brainliest :)
Answer:
what they said was correct just took the test
Step-by-step explanation:
Use the following data to calculate the curve of the best-fit.
y=0.4x2 + 1.2x + 3
y=0.4.x2 + 3.4x + 4
y=0.2x2 + 1.2x + 3
y=0.4x2 + 1.2.C + 4
The accountant charged $35 for the first hour of work and $23 for each hour after that. He earned a total of $127. How many hours did he work
Answer:
5 hours
Step-by-step explanation:
Subtract the amount the accountant charged for the 1st hour worked from the total earned:
127 - 35 = 92
Now divide 92 by 23 to find the number of hours he worked at the rate of $23 per hour:
92 ÷ 23 = 4 hours
Therefore, the account worked the 1st hour plus 4 more hours = 5 hours in total
Thomas has a collection of 25 coins; some are dimes and some are quarters. If
the total value of all the coins is $5.05, how many kinds of coins are there
Answer:
17 quarters and 8 dimes
Step-by-step explanation:
10dimes +25*(25-dimes)=505
