Answer:
-8.9%
Step-by-step explanation:
Answer:
The rate of change is - 8.89 %.
Step-by-step explanation:
Given,
The opening price = $ 3.15,
While closing price = $ 2.87,
Now,
[tex]\text{The rate of change}=\frac{\text{closing price-opening price}}{\text{opening price}}\times 100[/tex]
[tex]=\frac{2.87-3.15}{3.15}\times 100[/tex]
[tex]=\frac{-0.28}{3.15}\times 100[/tex]
[tex]=-\frac{28}{3.15}=-8.8889\%\approx -8.89 \%[/tex]
BRAINLIESTTTT!!!!
Write x^2 − 2x − 3 = 0 in the form (x − a)^2 = b, where a and b are integers.
(x − 4)2 = 3
(x − 3)2 = 2
(x − 2)2 = 1
(x − 1)2 = 4
A hybrid car averages 609 miles on a 12.5 gallon tank of gas. Manuel is planning a 1290- mile vacation in his hybrid car. Find how many gallons of gas he can expect to burn.
Using ratio and proportion, we deduced that Manuel's hybrid car travels 48.72 miles per gallon. Based on this, we estimated that Manuel would need around 26.5 gallons of gas for his 1290-mile vacation.
Explanation:The subject at hand requires the utilization of ratio and proportion in mathematics, specifically in the context of fuel economy of cars. The hybrid car Manuel owns averages 609 miles on a 12.5 gallon tank. This implies that for every one gallon of gas, the car can travel 609 / 12.5 = 48.72 miles.
Now Manuel is planning for a 1290-mile trip. To ascertain how many gallons of gas he might expect to consume, we divide the total distance of the vacation by the miles per gallon for his car: 1290 miles / 48.72 miles/gallon = 26.5 gallons.
Therefore, Manuel can expect to consume approximately 26.5 gallons of gas for his 1290-mile vacation.
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The function f(x) = −(x + 5)(x + 1) is shown.
What is the range of the function?
a.all real numbers less than or equal to 4
b.all real numbers less than or equal to −3
c.all real numbers greater than or equal to 4
d.all real numbers greater than or equal to −3
Range of the given function is all real numbers less than or equals to 4.
What is the range of the function?The range of a function is the set of all its output values.
According to the given equation we have
f(x) = -(x+5)(x+1)
Let, y = -(x+5)(x+1)
To find the range of the given function, we will substitute different values of x.
At, x = -5
y = f(-5) = -(-5 +5)(-5+1) =0
At, x = -4
y = f(-4) = -(-4 + 5)(-4 + 1) = -(1)(-3) = 3
At, x = -2
y = f(-2) = -(-2+5)(-2+1) = -(3)(-1) =3
At, x = -3
y = f(-3) = -(-3 + 5)(-3 + 1) = -(2)(-2) =4
Similarly, we will find for the other values of x.
So, the coordinates are (-5, 0), (-4, 3), (-3, 4), (-2,3)
And the graph using this coordinates are already given. Here, the set of outputs are the values of y. So we can see that the range of the given function is all real numbers less than or equals to 4.
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How do I find the slope of (2,3) and (5,9) by showing all of my work
A toy manufacturer ships a toy in one of two different size boxes. The small box contains 6 of the toy and the large box contains 10 of the toy.
A client orders no fewer than 100 of the toy. Based on his storage and sales needs, the client requires that he receive no more than 8 of the large boxes and no fewer than 6 of the small boxes.
The cost to the client for a small box is $4 and the cost to the client for a large box is $6. The client does not wish to exceed $200 for his order of toys.
Let x represent the number of small boxes and y represent the number of large boxes.
What constraints are placed on the variables in this situation?
Answer:
Let x represent the number of small boxes.
Let y represent the number of large boxes.
The client receive no more than 8 of the large boxes and no fewer than 6 of the small boxes.
[tex]x \geq 6[/tex]
[tex]y \leq 8[/tex]
The cost of small box is $4 and the cost to the client for a large box is $6. The client does not wish to exceed $200.
[tex]4x+ 6y \leq 200[/tex]
The small box contains 6 of the toy and the large box contains 10 of the toy. A client orders no fewer than 100 of the toy.
[tex]6x+10y \geq 100[/tex]
find the number of liters in 90 gallons
30 POINTS!!! HELP PLEASE!
Model each scenario with an equation and a sketch. Solve for the missing value and u. Use complete sentences to interpret the solution. In your final answer, include your equation, sketch, interpretation, and all calculations necessary for the solution.
1.) To get home from school, Bob walks four blocks north and three blocks east. What is the straight line distance between Bob’s house and his school?
2.)One of the requirements of your summer window-washing job is to provide yourself with all of the necessary supplies, including a fourteen foot ladder. When you arrive at your first job, you place your ladder on the ground six feet from the base of the house and lean it towards a second story window, only to realize that the ladder doesn’t reach the window. Given the length of the ladder and its current position, what is one possible height of the second story window? (Hint: There is more than one correct answer.)
3.) In a softball diamond, each of the bases, including home plate, are equidistant from each other. Although the name implies differently, a softball diamond is in the shape of a square. Given that the distance between the bases is unknown, determine an expression for the straight line distance between first and third bases.
4.) A sailboat drifts 600 meters west, makes a turn and sails 800 meters south. How far is the sailboat from its original position?
Which equation of the least squares regression line most closely matches the data set?
Note: The variable x represents the years after 1970.
Y= -5.7x-67
Y= -0.98x+65
Y= -0.17x+76
Y= -5.7x +67
Answer:
D. [tex]y = -5.7x + 67[/tex]
Step-by-step explanation:
Let us take the year 1970 as the 0th year.
So, the corresponding table of values is,
x y
0 65
2 58
4 45
6 32
8 21
Using the linear regression calculator, we see that,
The closest equation of the regression line is [tex]y = -5.7x + 67[/tex].
1
Which mathematical symbol would best fill in the blank to compare the two real numbers? 7.6 repeating____55 squared
<
>
=
≈
2
Convert 11.42424242 … to a rational expression in the form of a/b , where b ≠ 0.
42/999 with 11 whole number
42/9990 with 11 whole number
42/99 with 11 whole number
99/42 with 11 whole number
3
Order the set of numbers from least to greatest: -5/6, -5, -26 squared, -31/6
4
Identify the number that does not belong with the other three. Explain your reasoning
50.1 reapting , -50/2, , -50.1, 50 squared
If CDEF ≅ MNPQ, then ≅ DE ≅
a. NP
b. PQ
c. NQ
d. MN
* there's no picture this is all the information the question gives me *
Answer:
The correct option is a.
Step-by-step explanation:
It is given that CDEF ≅ MNPQ.
We need to find the side of MNPQ which is congruent to the side DE.
The corresponding parts of congruent figures are congruent.
Since CDEF ≅ MNPQ, therefore the corresponding sides of both figures are congruent.
[tex]CD\cong MN[/tex]
[tex]DE\cong NP[/tex]
[tex]EF\cong PQ[/tex]
[tex]CF\cong MQ[/tex]
The side NP is congruent to side DE. Therefore the correct option is a.
Solve 1-12 or any of them please.
what are the lengths of the other two sides of the triangle?
Which of the following sets of points forms a linear function?
A. (0, 5) (1, 8) ( 2, 11) (3, 14)
B. (1, 2) (2, 4) (3, 8) (4, 16)
C. (-2, 5) (-1, 2) (0, 1) (1, 2)
D. (-4, 8) (-3, 3) (-2, 0) (1, 3)
What is the perimeter of this square?
A.
19 in.
B.
28.5 in.
C.
30.5 in.
D.
38 in.
Please help quickly for 5 stars and brainliest!!
1. Omar set off a rocket in a field. The height h of the rocket in feet can be roughly estimated using the formula
h = -16t^2 + 128t, where t is the time in seconds. How long will it take the rocket to reach a height of 240 feet?
2. Josefina tosses a ball upward with an initial velocity of 76 feet per second.
She tosses it from an initial height of 2 feet. Find the approximate time that the ball hits the ground.
Use the function h(t) = -16t^2 + 76t + 2
Round to the nearest second.
3. Brandi, an amateur skier, begins on the "bunny hill," which has a vertical drop of 200 feet.
Her speed at the bottom of the hill is given by the equation v^2 = 64h, where the velocity v is in feet per second
and the height h of the hill is in feet. Assuming there is no friction, approximate Brandi's velocity at the bottom of the hill.
The figure below shows triangle NRM with r2 = m2 + n2:
Triangle NRM has legs m and n, and r is the length of its longest side.
Ben constructed a right triangle EFD with legs m and n, as shown below:
Triangle EFD has legs m and n and hypotenuse f.
He made the following table to prove that triangle NRM is a right triangle:
Statement Reason
1. r2 = m2 + n2 Given
2. f2 = m2 + n2 Pythagorean Theorem
3. f2 = r2 Substitution
4. f = r Square Root Property of Equality
5. Triangle NRM is congruent to triangle EFD ?
6. Angle NRM is a right angle CPCTC
7. Triangle NRM is a right triangle Angle NRM is a right angle
Which reason best fits statement 5?
SSS Postulate
SAS Postulate
AAA Postulate
AAS Postulate
Answer:
Option "SSS postulate" is correct.
Step-by-step explanation:
Given that: Triangle NRM has legs m and n, and r is the length of its longest side.
and r² = m² + n².
Now, Ben constructed a right triangle EFD with legs m and n.
and in statement 4, it is proved that f=r.
So, all the three sides of the triangles NMR and EFD are congruent.
So, the triangles are congruent bt the SSS Postulate.
⇒ option "SSS postulate" is correct.
Select the expression for the following word phrase.
12 less than v
For this case, the first thing we are going to assume is that we have the following terms:
Number = 12
Variable = v
We then have the following expression:
12 less than v
Writing the expression in algebraic form we have:
12 <v
Answer:
the expression for the word phrase is:
12 <v
In order to circumscribe a circle on a triangle, which line must you construct?
a.median
b.altitude
c.diagonal
d.perpendicular bisector
The answer is in fact perpendicular bisector
In the game of roulette, a player can place a $55 bet on the number 3434 and have a startfraction 1 over 38 endfraction 1 38 probability of winning. if the metal ball lands on 3434, the player gets to keep the $55 paid to play the game and the player is awarded an additional $175175. otherwise, the player is awarded nothing and the casino takes the player's $55. what is the expected value of the game to the player
justin runs at a constant rate, traveling 17km in 2 hours whats the equation
Justin's constant rate of running can be represented by the equation
=17/2 =8.5, where r is his speed in kilometers per hour. This indicates that Justin runs at a steady pace of 8.5 kilometers per hour.
To find the equation that represents Justin's constant rate of running, we can use the formula for speed, which is distance divided by time. Given that Justin travels 17 km in 2 hours, we can use these values to determine his speed.
Step 1: Identify the variables:
Let's denote:
d as the distance traveled (in kilometers)
t as the time taken (in hours)
r as the rate or speed (in kilometers per hour)
Step 2: Write down the formula for speed:
Speed =Distance/Time
Step 3: Plug in the given values:
We know that Justin travels 17 km in 2 hours. So,
d=17 km and t=2 hours.
Step 4: Calculate the speed:
=17/2=8.5 km/hr
Step 5: Write down the equation:
Now that we know Justin's speed is 8.5 km/hr, we can express it as an equation:r=8.5
So, the equation representing Justin's constant rate of running is:
r=8.5
This equation states that Justin's speed is always 8.5 kilometers per hour, regardless of the distance he travels. It's a linear equation because his speed remains constant over time
complete question=
Justin runs at a constant rate, traveling 17 kilometers in 2 hours. What is the equation that represents Justin's rate of running?"
Is this pattern a net for the three dimensional figure ?
The pattern net is not for the three-dimensional figure which is a hexagon prism the answer is No.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have a three-dimensional figure is shown in the picture.
As we know,
In the hexagonal prism, there are only two hexagons but in the net, there are three hexagons shown.
Thus, the pattern net is not for the three-dimensional figure which is a hexagon prism the answer is No.
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PLEASSE HELLP! // 99 points // look at the picture below
Parallelogram is your answer
The opposite sides are parallel to each other, and are congruent.
hope this helps
A group of kindergartners and first graders were asked whether or not they can ride a bike. This table shows the relative frequencies of the rows for the two-way table representing this situation. Select from the drop-down menus to complete the statement. The percent of kindergartners surveyed who can ride a bike is (choose-greater than ,less than, equal to) the percent of first graders surveyed who can ride a bike.
Can ride a bike Cannot ride a bike
Kindergartners. 0.32. 0.68
First graders. 0.56. 0.44
Answer: The percent of kindergartners surveyed who can ride a bike is less than the percent of first graders surveyed who can ride a bike.
Step-by-step explanation:
Given: The table shows the relative frequencies of the rows for the two-way table representing this situation.
The relative frequency for kindergartners surveyed who can ride a bike=0.32
Then, the percent of kindergartners surveyed who can ride a bike=[tex]0.32\times100=32\%[/tex]
The relative frequency for First graders surveyed who can ride a bike=0.56
Then, the percent of First graders surveyed who can ride a bike=[tex]0.56\times100=56\%[/tex]
Clearly, 32 is less than 56.
Therefore, the percent of kindergartners surveyed who can ride a bike is less than the percent of first graders surveyed who can ride a bike.
Matias stacked his cubes to make this rectangular prism.
rectangular prism with grid lines
How many cubes did Matias use?
cubes
Answer:
The answer is 80
guys please assist me
this is a system of equation word problem
A quadrilateral with two sets of parallel sides and four right angles is a
parallelogram
rhombus
rectangle
trapezoid
Solving quadratics by factoring 3x^2+33x+30=0
A) –2n + 9m – 17p
B) –2n – 9mn + 17np
C) –2n + 9mn – 17np
D) –18n + 81mn – 153np
how do you do #8,9,10 ?? thank you !!
An accountant pays 8% per year simple intrest, in year 1 the amount in the account is $850 how much is the account in year 6?