Answer: 4 pairs
Step-by-step explanation:
121-16=105. However, 121 can be made by squaring -11 or 11. 16 can be made by squaring 4 or -4. Thus, the choices are 11,4 11,-4 -11,4 -11,-4
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.
To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.
What is a steeper slope?In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.
In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.
In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
A block of wood has the shape of a triangular prism. The bases
are right triangles. Find its surface area.
4.5 in.
6 in
16 in
75 in.
The surface area is in.2.
Answer:
225 in.²
Step-by-step explanation:
Surface area of triangular prism = bh + (s1 + s2 + s3)*L
Where,
b = 4.5 in.
h = 6 in.
s1 = 7.5 in.
s2 = 4.5 in.
s3 = 6 in.
L = 11 in.
Plug in the values
Surface area = 4.5*6 + (7.5 + 4.5 + 6)*11
Surface area = 27 + 198 = 225 in.²
a Juan is thinking of a number between 25 and 30. When you count by 4's you say the number. What number is Juan thinking of?
Answer:
28
Step-by-step explanation:
4,8,12,16,20,24,28. +4 every time
Answer:
28
Step-by-step explanation:
multiples of 4: 4,8,12,16,24,28
Find the sum of A.5 B.3 C.4 D.1
Answer:
D. Maybe? brainliest suggested
Step-by-step explanation:
4) Jenee made a 99, 86, 76, and 95 on her first four spelling tests. Her mother told her
that her spelling test average had to be a 91 for Jenee to get a new video game. What
does Jenee need to make on her next test?
Answer: She needs to get 99 on her next test.
Step-by-step explanation:
The number of gallons of milk in a tanker truck at time t, in minutes, is modeled by m(t). Interpret the
meaning of the following values in the context of the problem. m' (12) = -15
we can interpret the value of \(m'(12) = -15\) as the instantaneous rate of change of the amount of milk in the tanker truck, which is decreasing by 15 gallons per minute at time \(t = 12\) minutes.
What is the derivative of the function?The expression "m'(12)" represents the derivative of the function m(t) with respect to time t, evaluated at t=12. Geometrically, the derivative represents the instantaneous rate of change of the function at the point t=12.
In this case, m'(12) = -15 means that at the time t=12 minutes, the rate of change of the number of gallons of milk in the tanker truck is -15 gallons per minute. This indicates that the amount of milk in the truck is decreasing at a rate of 15 gallons per minute at time t=12.
To calculate m'(12), you need to take the derivative of the function m(t) with respect to t and then evaluate the result at t=12. Assuming you have the expression for m(t), the steps are as follows:
Differentiate m(t) with respect to t:
\(m'(t) = d/dt [m(t)]\)
Evaluate \(m'(t) at t=12:\)
\(m'(12) = m'(t=12)\)
Therefore, we can interpret the value of \(m'(12) = -15\) as the instantaneous rate of change of the amount of milk in the tanker truck, which is decreasing by \(15\) gallons per minute at time t = 12 minutes.
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Which of these is NOT a way to show that two figures are congruent?
If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.
What is Triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
What is the condition to be congruent?If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.
here, we have,
Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.
In Δ PQR and ΔXYZ, as shown in figure,
we can identify that PQ = XY, PR = XZ,
and QR = YZ
and ∠P = ∠X,
∠Q = ∠Y and ∠R = ∠Z.
Then we can say that Δ PQR ≅ ΔXYZ.
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use green's theorem to evaluate the line integral along the given positively oriented curve. c yex dx 2ex dy, c is the rectangle with vertices (0, 0), (5, 0), (5, 3), and (0, 3) incorrect: your answer is incorrect.
The line integral of the given curve is equal to 125/3.
To use Green's theorem to evaluate the line integral of the given curve, we need to find a function F(x,y) and its partial derivatives such that the integrand of the line integral can be expressed as the curl of F. In this case, we can take
F(x,y) = xy^2
Then, we have
F_x = y^2
F_y = 2xy
Thus, the integrand of the line integral can be expressed as the curl of F:
curl F = F_y - F_x = 2xy - y^2
Applying Green's theorem, we have
line integral of curl F = integral over C (2xy - y^2) dx + (x^2 - 2xy) dy
= integral over C (2xy - y^2) dx + x^2 dy - 2xy dy
= integral over C x^2 dy
The given curve C is the boundary of the rectangle with vertices (0,0), (5,0), (5,3), and (0,3). Thus, the line integral of curl F along C is equal to the integral of x^2 over the x-values of the rectangle, which is
= (5^3 - 0^3)/3
= 125/3
Therefore, the line integral of the given curve is equal to 125/3.
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Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation given in slope-intercept form does not represent the graph because the y-intercept of the graph is equal to 4 while the y-intercept of the equation is equal to 5.
What is the slope-intercept form?In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:
y = mx + c
Where:
m represents the slope.c represents the y-intercept.x and y are the data points.What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the information provided regarding the equations and graphs, the y-intercept are as follows:
The y-intercept of y = 4x + 5 is equal to 5.The y-intercept of this graph with point (0, 4) is 4.Read more on y-intercept here: brainly.com/question/19576596
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34 + 2 ⋅ 5 =
Input whole numbers only.
Answer:
44
Step-by-step explanation:
34 + 2 ⋅ 5 = ?
34 + 10
44
So, the answer is 44
Natalie is selling fruit at the Saturday market. She has a
otal of 48 pears that she wants to sell. She makes bags of
pears and sells them for $5 per bag. In which equation
oes b represent the number of bags of pears?
If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:
b = total_number_of_pears / pears_per_bag
In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.
Given that Natalie has a total of 48 pears, we can substitute the value into the equation:
b = 48 / pears_per_bag
Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.
Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:
b = 48 / 4
Simplifying the equation gives:
b = 12
So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.
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Which of the following values for x and y make the equation 4x + 2y + 3 = 19 true?
Copyright Reserved
use a net to derive a formula
for the total surface area of
a cube,
Answer:
formula= 6ssquare
Step-by-step explanation:
where s is the length of the cube on each side
Find the mean, median, mode 1. 40, 38,29,34,37, 22, 15, 38 2. 26, 32, 12, 18, 11, 14, 21, 12,27 3. 3,3,4,7,5,7,6,7,8,8,8. 9,8, 10, 12, 9, 15, 15
NEED THE ANSWER ASAP
NONSENSE, REPORT
i will (brainliest) if it's correct!!!
Mean: 34.125, Median: 31.5, Mode: 38
Mean: 19.222, Median: 18, No mode
Mean: 8.611, Median: 8, Mode: 8
Let's find the mean, median, and mode for each set of numbers:
Set: 40, 38, 29, 34, 37, 22, 15, 38
Mean: To find the mean, we sum up all the numbers and divide by the total count:
Mean = (40 + 38 + 29 + 34 + 37 + 22 + 15 + 38) / 8 = 273 / 8 = 34.125
Median: To find the median, we arrange the numbers in ascending order and find the middle value:
Arranged set: 15, 22, 29, 34, 37, 38, 38, 40
Median = (29 + 34) / 2 = 63 / 2 = 31.5
Mode: The mode is the number(s) that appear(s) most frequently in the set:
Mode = 38 (appears twice)
Set: 26, 32, 12, 18, 11, 14, 21, 12, 27
Mean: Mean = (26 + 32 + 12 + 18 + 11 + 14 + 21 + 12 + 27) / 9 = 173 / 9 ≈ 19.222
Median: Arranged set: 11, 12, 12, 14, 18, 21, 26, 27, 32
Median = 18
Mode: No mode (all numbers appear only once)
Set: 3, 3, 4, 7, 5, 7, 6, 7, 8, 8, 8, 9, 8, 10, 12, 9, 15, 15
Mean: Mean = (3 + 3 + 4 + 7 + 5 + 7 + 6 + 7 + 8 + 8 + 8 + 9 + 8 + 10 + 12 + 9 + 15 + 15) / 18 ≈ 8.611
Median: Arranged set: 3, 3, 4, 5, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 12, 15, 15
Median = 8
Mode: Mode = 8 (appears 4 times)
Mean: 34.125, Median: 31.5, Mode: 38
Mean: 19.222, Median: 18, No mode
Mean: 8.611, Median: 8, Mode: 8
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Jose has 7 mangoes. He wants give then to his 10 friends. How much can each friend get? *
Answer:
it would be 7 divided by 10, so .7 i think?
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
7/10 bc if there are 7 mangos and 10 friends then 10 (the number of friends ) is the amout in all and 7 (the amout of mangos ) is the fraction of the whole that willl be passed out
Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
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IN CASE YOU ARE LOOKING FOR THE ANSWER
A climber is standing at the top of Mount Kilimanjaro, approximately 3.7 mi above sea level. Earth has a radius of 3959 mi.
What is the climber's distance to the horizon?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answer: The answer is 171.2 Miles
Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.
Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.
are the two triangles below similar
Answer:
Hey!
Your answer is YES!
AKA the Last Option on your screen!
Step-by-step explanation:
It is this because...
They both have the angles 105 in it...
And looking at the other angle on the smaller one (25)
50 + 25 = 75 ... 180 - 75 = 105
WE HAVE 105 as an angle on the larger triangle...which makes them SIMILAR but congruent Angles!
It cant be the "corresponding sides" as we do not have the notations (lines intersecting the sides) that let us know that the lines are the same.
Hope this helps!
please help! I'm almost out of time on my assignment
divide 90kg into the ration 2:3:7
the answer would have to be 465
Answer:
Weight of a pile of sand = 90 Kg
Ratio of weight of sand in three bags =
2 : 3 : 7
Let the weights be 2x kg, 3x kg and 7x kg respectively
A.T.Q.
=> 2x + 3x + 7x = 90
=> 12x = 90
=> x = 90/12
=> x = 7.5 Kg
___________________________
Weight of sand in small bag =
=> 2 × 7.5
=> 15 Kg ANS
Weight of sand in medium bag =
=> 3 × 7.5
=> 22.5 Kg ANS
Weight of sand in large bag =
=> 7 × 7.5
=> 52.5 Kg ANS
Use the graph or table to find the equation that represents the relationship. PLLSSS HELPPPPP
The equation that is shown by the table is y = 3x - 5
How to use the graph or table to find the equation that represents the relationship?The given parameter is the complete table
From the table, we have the following points
(2, 1) and (1, -2)
Calculate the slope using
m = (y2 - y1)/(x2 - x1)
This gives
m = (-2 - 1)/(1 - 2)
Evaluate
m = 3
The linear equation is represented as
y = m(x - x1) + y1
So, we have
y = 3(x - 2) + 1
Open the bracket
y = 3x - 6 + 1
Evaluate the like terms
y = 3x - 5
Hence, the equation that is shown by the table is y = 3x - 5
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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Someone be a g and answer this!
Evaluate the Piecewise Function. Please Hurry
The value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.
what is piecewise function?
A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a specific interval of the domain it applies to. Instead of being a property of the function itself, piecewise definition is a way to express the function.
We have to evaluate the piecewise function for x = -1 and x = 9.
Let, function has value for x = -1 in the domain x ≤ 5 which is 11.
And function has value for x = 9 in the domain 6 < x which is 1.
⇒ f(-1) = 11 and f(9) = 1
Hence, the value of piecewise function at x = -1 is f(-1) = 11, and the value of piecewise function at x = 9 is f(9) = 1.
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Solve: 2 - 4x + 7 = -9x +
+
+ 5.
2
6
글 - 4.x + =
+
3
2
2
3
O x= 를
O x
O x= - 2 / 2
를
Ox를
Ox 를
=2
X=3
를
Answer:
\(x = - \frac{2}{3} \)
this the correct answer
Every 2 centimeters on a floor plan represents
meters of the house. The dining room is 8 cm by
10 cm on the floor plan, and the bedroom is 6cm by10cm on the floor plan. If installing tile costs $34
per square meter and installing carpet costs $21 per
square meter, how much would it cost to install tile
in the dining room and install carpet in the bedroom?
Show your work.
Given statement solution is :- It would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.
Given:
Every 2 centimeters on the floor plan represents 1 meter of the house.
Dining Room:
On the floor plan, the dining room is 8 cm by 10 cm.
Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.
The area of the dining room is 4 meters * 5 meters = 20 square meters.
Bedroom:
On the floor plan, the bedroom is 6 cm by 10 cm.
Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.
The area of the bedroom is 3 meters * 5 meters = 15 square meters.
Now, let's calculate the costs.
Cost of Tile:
The cost of installing tile is $34 per square meter.
The area of the dining room is 20 square meters.
Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.
Cost of Carpet:
The cost of installing carpet is $21 per square meter.
The area of the bedroom is 15 square meters.
Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.
Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
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what happens to mean amd median?
Step-by-step explanation:
.
Answers:
Part (a): It stays the samePart (b): It decreases by 5 dollars=====================================================
Explanation:
Part (a)
The numbers are sorted from smallest to largest, so we pick out the middle most value to get the median. It turns out that 1015 and 1025 are tied for the middle-most spot. Average these values to get (1015+1025)/2 = 1020. The median is 1020.
Notice how the median will not change if we replaced one "1100"s with "1060". This is because 1015 and 1025 still occupy the middle, and 1020 is at the midpoint between them. The median would only change if we either introduce or take away a value entirely, or if we replaced 1100 with some value between 1015 and 1025 that isn't 1020 itself. For instance, if we replace 1100 with 1019, then the median would become 1017 (decrease).
However, none of these situations happen, so that's why the median stays where it is.
--------------------------
Part (b)
Go back to the original list of numbers.
Add them up to get
820+910+945+1015+1025+1085+1100+1100 = 8000
Divide this over 8 since we have 8 values here
8000/8 = 1000
The mean rent is $1000
Now let's replace one copy of the "1100" with "1060". Follow the same steps as above.
Add: 820+910+945+1015+1025+1085+1060+1100 = 7960Divide: 7960/8 = 995After that rent change from $1100 to $1060, the mean rent is now $995
The mean rent went down by 1000-995 = 5 dollars.
Look at the cube, and the net of this cube. What is the surface area of this cube? Cube with one side labeled 16 feet. Net of the same cube also shown with one side labeled 16 feet.
Answer:
\(486\) \(in^2\)
Step-by-step explanation:
we know that
The surface area of the cube is equal to the area of its six square faces
so
\(SA=6b^2\)
where
b is the length side of the cube
we have
\(b=9\) \(in\)
substitute
\(SA=6(9)^2=486 in^2\)
125x ^ 3 - 27 = 0
Solve this by grouping
The solution to the equation 125x³ - 27 = 0 is (5x−3)(25x ^2 +15x+9)
What is an equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in mathematics when you do not know the exact number in a calculationsolving the equation 125x³ - 27 = 0 by grouping
Rewriting 125x^ 3 −27 as (5x) ^3 −3³
The difference of cubes can be factored using the rule:: a ^3 −b^ 3 =(a−b)(a^ 2 +ab+b^ 2 )
Polynomial 25x^ 2 +15x+9 is not factored since it does not have any rational roots.
Hence, (5x−3)(25x ^2 +15x+9)
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Fill in the missing reasonA) Definition of Vertical AnglesB) Segment Addition PostulateC) Angle Addition PostulateC) Angle Addition PostulateD) Definition of Congruent
In this problem, we have that
BE+ED=BD and CE+EA=CA -----> Segment Addition Postulate
therefore
the answer is option B