Answer:
Scalene, Acute
Step-by-step explanation:
scalene because the sides are of different length, and acute because it's less than 90°
Decide whether the data in the table represent a linear function or anexponential function. Explain how you know.12345y1680-8-16
Answer:
Explanations:
From the table given, we can see that the value of y decreases by the same constant
WILL GIVE BRAINLIEST!
Ms. Sally is ordering sets of place-value blocks for the 3rd, 4th, 5th graders. She want one set for each student, and there are 6 sets of blocks in a carton. How many cartons should Ms. Sally order?
3rd grade - 48 students
4th - 43 students
5th - 46 students
6th - 50 students
Answer:
32 cartons
Step-by-step explanation:
Total sets needed
48 + 43 + 46 + 50 = 187
Cartons needed
187 / 6 = 31 1/6
need 32 cartons
Answer:
32 cartons
Step-by-step explanation:
add up all of the students = 187
divide by 6 = 187/6 = 31.16
round = 32 cartons
Pls help me !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1. y^12/y^12=1
2. q^15*1/q^15=1
3. (7(123456.789)^4)^0=1
4. 2^2*1/2^5=1/2^3
5 (x^41/y^15)*(y^15/x^41)=1
Step-by-step explanation:
1. when dividing exponents, subtract the exponents. y^12/y^12=y^(12-12)=y^0=1
2. you do the same as #1
3. Any number to the power of 0 is always 1
4. 1/2^3=1/8
5. since the numerator and denominator is the same, the divide to equal 1
Hope I helped
3. Consider the following system: →0.85→0.85→ Determine the probability that the system will operate under each of these conditions: a. The system as shown. (Do not round your intermediate calculations. Round your final answer to 4 decimal places.) b. Each system component has a backup with a probability of .85 and a switch that is 100 percent reliable. (Do not round your intermediate calculations. Round your final answer to 4 decimal places. c. Each system component has a backup with a probability of .85 and a switch that is 90 percent reliable. (Do not round your intermediate calculations. Round your final answer to 4 decimal places.)
a. The probability that the system will operate as shown is approximately 0.6141.
b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.
c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.
a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:
Probability = 0.85 × 0.85 × 0.85
Probability ≈ 0.6141
The probability that the system will operate as shown is approximately 0.6141.
b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:
Probability = 0.85 × 0.85 × 0.85
Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.
c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:
Probability = 0.85 × 0.90 × 0.85
Probability ≈ 0.6485
The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.
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gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast (in ft/min) is the height of the pile increasing when the pile is 11 ft high? (round your answer to two decimal places.)
Answer:
0.21ft/min
Step-by-step explanation:
\(\sf Volume \ at \ given \ time = \dfrac{dV}{dt}= 20 \ cubic \ feet /min\)
h = d
h = 2r
\(\sf r = \dfrac{h}{2}\)
Volume of heap = (1/3) πr²h
\(\sf V =\dfrac{1}{3}\pi r^2h\\\\V =\dfrac{1}{3}\pi (\frac{h}{2})^2h\\\\V =\dfrac{1}{3}\pi \dfrac{h^2}{4}*h\\\\V=\dfrac{1}{12}\pi h^3\)
Take derivative w.r.t time,
\(\sf \dfrac{dV}{dt}=\dfrac{1}{12}\pi * 3h^2 \dfrac{dh}{dt}\)
h = 11 ft
\(\sf 20 = \dfrac{1}{12}\pi *3*11*11*\dfrac{dh}{dt}\\\\20=\dfrac{121}{4}\pi \dfrac{dh}{dt}\\\\\)
\(\sf \dfrac{20*4}{121*\pi }=\dfrac{dh}{dt}\\\\ \dfrac{80}{120*3.14}=\dfrac{dh}{dt}\)
\(\sf \dfrac{dh}{dt}=0.21\)
The height is increasing at the rate of 0.21 ft/min
The computer lab at school has $110 to spend on blank compact disks for their CD ROMS. If 2 packages of disks cost $10 how many packages can the computer lab buy?
Answer:
22
Step-by-step explanation:
10/2 $5 per pack
110/5= 22 packs
Over the last three evenings, Kira received a total of 54 phone calls at the call center. The first evening, she received 10 fewer calls than the second evening. The third evening, she received 2 times as many calls as the second evening. How many phone calls did she receive each evening?
Let x, y, and z be the number of calls Kira received during the first, second, and third day, respectively. Therefore, the equations are
\(\begin{gathered} x+y+z=54 \\ x=y-10 \\ z=2y \end{gathered}\)Solve the system of equations as shown below
\(\begin{gathered} \Rightarrow x+y+z=x+(x+10)+2(x+10)=4x+30 \\ \Rightarrow4x+30=54 \\ \Rightarrow4x=24 \\ \Rightarrow x=6 \end{gathered}\)Use the value of x to find y and z,
\(\begin{gathered} x=6 \\ \Rightarrow6=y-10\Rightarrow y=16 \\ and \\ z=2y=2*16=32 \end{gathered}\)Therefore, the answers are:First evening: 6 callsSecond evening: 16 callsThird evening: 32 callsAt a sporting goods store, the price of a bicycle is $650. During a sale, this price is marked down 45%. What is the sale price of the bicycle? Enter your answer in the box. $
Answer:
$357.5
Step-by-step explanation:
Answer:
347.50
Step-by-step explanation:
you have to put the 0 at the end i didnt and got it wrong.
Find the area of the shaded region. Round to the nearest hundredth when necessary.
The grams of fiber from 1,000 different breakfast cereals sold in the United States were collected.
Which graphical representation would be most appropriate for the data, and why?
Bar chart, because the data is categorical
Histogram, because there is a large set of data
Stem-and-leaf plot, because you can see the shape of the data
Line plot, because you can see the mode of the data
Given the variety of morning cereals sold, option B. Histogram is the graphical representation that would be best suitable for the data. This is because there is a large set of data.
Why do histograms get utilised for big data sets?Because they offer a visual depiction of the data distribution, histograms are utilised for big collections of data. They are especially helpful for figuring out how continuous variables, like measurements or time series data, are distributed.
Histograms have a number of benefits, one of which is the simplicity with which massive sets of data may be compared. It is simple to see the overall shape of the distribution and spot trends or outliers when the data are represented as bars. Histograms can also be used to compare many sets of data simultaneously, making it simple to compare various groupings or changes over time.
Histograms also have the advantage of allowing for the identification of a dataset's underlying probability-distribution, which is advantageous for statistical analysis and modelling.
This is why, due to the size of the data and the fact that it includes information from 1,000 distinct grains, a histogram works best to display it.
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Answer:
Histogram, because there is a large set of data
Step-by-step explanation:
Hope this helps :)
Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
Someone help ASAP need answer
i need help
.a.b.c.d.e.f.g.h.i.j.k.l.m.n.o.p.q.r.s.t.u.v.w.x.y.z
Answer:
now i know my abc's
Step-by-step explanation:
(x-10)^2 as a trinomial in standard form
Answer:
x^2-20x+100
Step-by-step explanation:
expand (x-10)^2 !!
(x-10)(x-10)
x^2-10x-10x+100
x^2-20x+100 <- there's your trinomial in standard form! :D
what is the next two term in the sequence 6, 10, 14, 16
Answer:
Next two terms of the sequence is 20 and 24.Step-by-step explanation:
The arithmetic sequence is 6, 10, 14 , 16
First term (a) = 6
Subtract the first term from the second term:
10 - 6 = 4Subtract the second term form the third term:
14 - 10 = 4Subtract the third term from the Fourth term:
16 - 14 = 4Here, You will notice that each time you move from one number to the next one it increases by four. So, the difference between one and the next term is four.
So,
Next two terms are:
⟶ 16 + 4 = 20
⟶ 20 + 4 = 24
Hence,
Next two terms of the sequence is 20 and 24.Step-by-step explanation:
Given Sequence :- 6 , 10 , 14 , 16 To find :- Next 2 terms in the sequenceSolution :-
D( common difference ) = a2 - a1
D = 10 – 6
D = 4
Next two terms ,
16 + D ; 16 + 4 = 20
20 + D ; 20 + 4 = 24
Could someone please tell me the answer
Its 10.4 you are correct
Which completely describes the polygon?
equilateral
equiangular
regular
congruent
After answering the provided question, we can conclude that " Congruent means having the same shape and size, but this is unnecessary because the polygon is already defined as regular.
What is a polygon?A polygon is a two-dimensional making change by connecting three or more locations in a closed loop. Polygons encompass triangles, tetrahedral, pentagons, hexagons, and other shapes. Polygons are a basic geometric concept that is used to describe and analyse many real-world shapes and structures, including buildings, layouts, and computer graphics. Polygons are studied for their qualities such as perimeter, area, angles, but also symmetry.
The polygon in the image appears to have equal side lengths and equal angles, indicating that it is equilateral (all sides are equal length), equiangular (all angles are equal measure), and regular (both equilateral and equiangular). As a result, the correct option for fully describing the polygon is "equilateral, equiangular, and regular." Congruent means having the same shape and size, but this is unnecessary because the polygon is already defined as regular.
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Which one should I choose?
Answer:
∠ 1 = 58°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
117° is an exterior angle of the triangle, then
∠ 1 + 59° = 117° ( subtract 59° from both sides )
∠ 1 = 58°
Question 18
A wholesale grocery supplier shipped x2-pound blocks of cheese and y3-pound blocks of cheese to a caterer. The total weight of the cheese in the shipment was 44 pounds, and
the shipment consisted of 18 blocks of cheese. Which of the following systems of linear equations best represents this situation?
z+y=18
A
3z +2y=44
z+y=18
2x + 3y = 44
z+y=44
3z + 2y = 18
z+y=44
2z+3y=18
B
C
D
Imported (1)
The G
The system of linear equations that best represents the situation are:
z+y=18
3z +2y=44
What are the linear equations?In order to determine the values of the two types of cheese, two set of linear equations can be formed from the question. The equations have to be solved together using either the elimination , substitution or graphical methods.
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What’s the domain of this relation (-1,5) , (0,4), ( 1,2) , (3,-2)
Answer:
{-1, 0, 1, 3}
Step-by-step explanation:
A relation is a set of ordered pairs of numbers. The domain of a relation is the set of all the first elements (or x-values) in the ordered pairs. In this case, the relation is (-1,5) , (0,4), ( 1,2) , (3,-2), so the domain is the set of all the x-values in these ordered pairs, which is the set {-1, 0, 1, 3}. Therefore, the domain of the relation is {-1, 0, 1, 3}.
How do you prove f is one to one?
To prove that f is one-to-one function, it must be proven that f(x1)=f(x2) and x1=x2.
What is a one to one function?
The mapping of two sets is essentially what a one to one function refers to. When every element in a function's range and domain match exactly one another, the function is said to be one-to-one.
The one-to-one function, also known as an injective function, is one of the many different types of functions.
A function that transfers different components of its domain to different elements of its codomain is known as a one-to-one function.
For example, a function f:A→B is said to be one-to-one if -
f(x1)=f(x2)⇒x1=x2
for all elements x1,x2∈A.
To prove f:A→B is one-to-one -
Consider the fact that f(x1)=f(x2).
Then it must be true that x1=x2.
Therefore, it is now understood that f is one-to-one by definition if f(x1)=f(x2) and x1=x2.
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What is the answer??
Answer: .41+.34=.75
Step-by-step explanation:
Rectangle A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-1, -6),A(−1,−6),A, left parenthesis, minus, 1, comma, minus, 6, right parenthesis, comma B(-1,7)B(−1,7)B, left parenthesis, minus, 1, comma, 7, right parenthesis, C(1, 7)C(1,7)C, left parenthesis, 1, comma, 7, right parenthesis, and D(1, -6)D(1,−6)D, left parenthesis, 1, comma, minus, 6, right parenthesis.
Given these coordinates, what is the length of side ABABA, B of this rectangle?
Answer:
13 units
Step-by-step explanation:
Points A(-1, -6) and B(-1, 7) both lie on the vertical line x=-1. That means the distance between them is the difference of their y-coordinates:
__
By -Ay = 7 -(-6) = 13
Segment AB is 13 units long.
Which of the following describes the solution to the equation c²+2c-4-1-2c? O-5 is an extraneous solution, and 1 is a true solution. O-5 is a true solution, and 1 is an extraneous solution. O Both -5 and 1 are true solutions. O Both -5 and 1 are extraneous solutions.
Both -5 and 1 are extraneous solution to the equation
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
c²+2c-4-1-2c = 0
c²+2c-2c -4-1 = 0
c²-5 = 0
Therefore both -5 and 1 are extraneous solution in the equation.
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Consider a reversible reaction in which reactant A is converted into product B, as shown below. If the K_eq=10^3 for this reaction at 25 °C, then which substance will be abundant at equilibrium at this temperature? A⟷B Substance A Substance B
Substance B will be abundant at equilibrium at this temperature.
A reversible reaction converts the reactant A into product B.
If K_eq=10^3 for this reaction at 25°C, then substance B will be abundant at equilibrium at this temperature.
What is the equilibrium constant, K_eq? Equilibrium is the state where the rate of the forward reaction equals the rate of the reverse reaction.
At equilibrium, the concentrations of reactants and products become constant, but they do not necessarily become equal.
The equilibrium constant (K_eq) is the ratio of the product concentration (B) to the reactant concentration (A) at equilibrium.K_eq = [B]/[A]
When K_eq is greater than 1, the products are favored at equilibrium.
When K_eq is less than 1, the reactants are favored at equilibrium. In this case, K_eq = 10^3, which is greater than 1.
Therefore, substance B will be abundant at equilibrium at this temperature.
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HELP ASAP 10) Determine the volume; just answer without the units
B
9.5 in.
3.75 in.
8 in.
Answer:
Volume is 285
Step-by-step explanation:
We start by calculating the area of the base
Mathematically, we have a rectangle as the base
So, the area of the base will be;
3.75 * 8 = 30
We now multiply this by the height to get the volume
we have this as:
30 * 9.5 = 285
Solve the system of equations using substitution.
y = -2X +1
4x + 2y = -2
Answer:
Step-by-step explanation:
4x + 2(-2X +1) = -2
Order of operations -
4x + -4x +2 = -2
Combine terms
4x-4x=0x
2 = -2
Answer:
no solution
Step-by-step explanation:
y = - 2x + 1 → (1)
4x + 2y = - 2 → (2)
substitute y = - 2x + 1 into (2)
4x + 2(- 2x + 1) = - 2 ← distribute parenthesis and simplify left side
4x - 4x + 2 = - 2 ( subtract 2 from both sides )
0 = - 4 ← not possible
this indicates the system of equations has no solution
This question is designed to be answered with a calculator. which inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve f(x) = 2 cos(2x) over the interval [0, pi/ 4] using 3 equal subdivisions?
a.) l < t < r
b.) r < l < t
c.) r < t < l
d.) t < r < l
The inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is C. r < t < l.
How to illustrate the inequality?From the information given, it should be noted that f'(x) is negative. Therefore, L > R. Also since f"(x) is negative, T > R.
f(x) = 2 cos 2x.
f'(x) = -4 sin 2x
f"(x) = -8 cos 2x
Therefore, the inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is r < t < l
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Find the rate of change between
(-1,-4)
(3,1)
Slope formula - \(\frac{y2-}{x2-} \frac{y1}{x1}\)
First coordinate pair - (-1, -4)
Second coordinate pair - (3, 1)
Coordinate format - (x, y)
y2=1, y1=-4
x2=3, x1=-1
\(\frac{1-}{3-} \frac{(-4)}{(-1)} =\frac{5}{4}\)
Hope this is what your looking for :)
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-1)}}} \implies \cfrac{1 +4}{3 +1} \implies {\Large \begin{array}{llll} \cfrac{ 5 }{ 4 } \end{array}}\)
if a carpenter wants to make sure that the corner of a room is square and measures 5 ft and 12 ft along the walls, how long should he make the diagonal?
The diagonal of a room measuring 5 ft and 12 ft along the walls should be 14.6 ft.
The diagonal of the room can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse would be the diagonal, the other two sides would be 5 ft and 12 ft.
Thus, the equation would be: a² + b² = c², with a = 5 ft, b = 12 ft, c = 14.6 ft.
The calculation for this equation is as follows:
5² + 12² = c²; 25 + 144 = c²; 169 = c²; √169 = c; c = 14.6 ft.
This means that the diagonal of a room measuring 5 ft and 12 ft along the walls is 14.6 ft.
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