Answer:14
Step-by-step explanation:
14
Is it possible to have a triangle with the following sides give reason
3cm 4cm 5cm
4cm 5cm 6cm
Answer: Yes,
Step-by-step explanation:
Because since there are two numbers that are the same and numbers that are different, you can make a triangle out of it. Since a triangle has twi sides that have the same length and a side that has a different length.
Example: 4cm 4cm
Introduction Sort each number into the correct category
21
Prime
Composite
11
15
16
29
13
Answer:
Prime: 11, 13, 29.
Composite: 21, 15, 16.
Step-by-step explanation:
Which of the following functions is graphed below? HELP
The solution is: Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1, the following functions is graphed below.
Option C is correct.
Explanation:
We are given a graph of piece-wise function which break at x=1
We need to choose correct option for graph.
Function is break at x=1.
We will get two function
For x≤1 and x>1
As we can see x≤1, graph is linear and x>1 graph is parabolic.
Equation of linear graph, x≤1
Take two point of graph (0,6) and (-6,0)
Equation of line:
y-y1/y2-y1 = x-x1/x2-x1
y = x+1
f(x)=x+6 , x≤1
Equation of parabolic graph, x>1
f(x) = x^2 + 3
Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1
Please see the attached figure.
Hence, The option C is correct.
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look at this system of exquations. y=2x-1 4x +y=2 which shows a correct step using substitution to solve the system of equations?
The solution to the system of equations is x = 0.5, y = 0
How to solve the system of equations?The system of equations is given as:
y = 2x-1
4x + y=2
Substitute y = 2x-1 in 4x + y=2
4x + 2x-1 =2
Evaluate the like terms
6x = 3
Divide by 6
x = 0.5
Substitute x = 0.5 in y = 2x-1
y = 2 * 0.5 - 1
Evaluate
y = 0
Hence, the solution to the system of equations is x = 0.5, y = 0
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I need help with these questions
Answer:
29. D
30. A
31. 15
32. -34
33. -241
34. -36
Step-by-step explanation:
A manager found that 4 out of 36 parts manufactured in one day were defective.
Approximately, what percentage of the parts was NOT defective?
Answer: Percentage of not defective parts =88.88% which can be rounded up to 89%
Step-by-step explanation:
Total part manufactured= 36
defective parts = 4
Non defective parts = 36-4 = 32.
Percentage of not defective parts = Number of not defective parts / Total parts manufactured x 100
= 32/36 x 100= 88.88%
ASAP!!! Please help me solve
Answer: j(x) = (x-1)(x+2)
The x-1 part is because of the root x = 1
The root x = -2 leads to the factor x+2
a) angle of line of From a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three figure bearings? A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point. (b) How far is the boy now from the start- ing point? A boy runs 200 m on a bearing of 230°.
a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$
\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}
100 sin 35° = 80 sin 55°=57.73 mT
herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.
Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.
To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.
Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.
Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.
To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.
(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus
:$$c^2 = a^2 + b^2$$
where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$
c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$
Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.
Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$
Therefore, the bearing of the boy's current position from the starting point is N51°E.
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The function h(x) is a transformation of the square root parent function,
f(t) = t. What function is H(x)?
Answer:
A. \(h(x)=\sqrt{x-3}\)
Step-by-step explanation:
Step 1: DefinitionThe parent function of \(\sqrt{x}\) is translated to the left when \(h\) is positive in the transformation \(\sqrt{x+h}\).
If \(h\) is negative, the graph translates towards the left with the distance equal to the value of \(h\).
Step 2: ImplementationHere the graph moved 3 units towards the right. This means that \(h\) is negative and has the value of 3.
So, plugging that into the parent function for translation, the function becomes:
\(h(x)=\sqrt{x-3}\)
A culture started with 6,000 bacteria. After 2
hours, it grew to 7,200 bacteria. Predict how
many bacteria will be present after 11 hours.
Round your answer to the nearest whole
number.
P = Aekt
Answer:
39600
Step-by-step explanation:
If in 2hours = 7200bacteria
What about in 11 hours
11×7200=79200
79200÷2
=39600
At the last minute, two families (a total of 11 people) cancel because of illness. Does this effect
which company is the better deal? Why or why not?
The last-minute cancellations of two families (11 people in total) due to illness may affect the decision as to which company offers more favorable terms, depending on the specific circumstances and fee structures of the companies involved.
Why is this scenario so?If the rate is based on per person, canceling 11 people would significantly reduce the total cost for both companies. In this case, one would compare the changed prices of each company to determine which one offers the better deal.
However, with flat-rate pricing regardless of the number of participants, the cancellation of 11 people would not affect costs for either company. In such a scenario, the cancellation will not affect the evaluation of which company presents the better offer.
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Please answer I will make you Brainliest if it's right
Answer:
perfect square
Step-by-step explanation:
PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST
given 685x^2 - 58x-976=0, if "m" and "n" two solutions of the equation, Then what is the value of 137m+137n
Answer:
12.33
Step-by-step explanation:
To obtain the value of 137m + 137n, let us calculate the value of m and n.
NOTE: m and n are the solutions to the equation: 685x² – 58x – 976 = 0
Thus, we can obtain the solutions to equation by doing the following:
685x² – 58x – 976 = 0
a = 685
b = – 58
c = – 976
Using formula method:
x = – b ± √(b² – 4ac) ÷ 2a
x = – (–58) ± √(–58² – 4×685×–976) ÷ 2 × 685
= 58 ± √(3364 – – 2674240) ÷ 1370
= 58 ± √(3364 + 2674240) ÷ 1370
= 58 ± √(2677604) ÷ 1370
= 58 ± 1636.3386 / 1370
= (58 + 1636.3386) / 1370 or (58
– 1636.3386) / 1370
= 1694.3386 / 1370 or – 1578.3386/1370
x = 1.24 or –1.15
Thus,
m = 1.24
n = –1.15
Finally, we can obtain the value of
137m + 137n as shown below:
137m + 137n
m = 1.24
n = –1.15
= (137 × 1.24) + (137 × – 1.15)
= 169.88 + (– 157.55)
= 169.88 – 157.55
= 12.33
Thus, the value of 137m + 137n is 12.33
Determine which integer in the solution set will make the equation true.
3s − 12 = −9
S: {−1, 0, 1, 2}
A: −1
B: 0
C: 1
D: 2
Answer:
c) 1
Step-by-step explanation:
Solving for the value of s,
→ 3s - 12 = -9
→ 3s = -9 + 12
→ s = 3/3
→ [ s = 1 ]
Thus, option (c) is correct.
this is your question
Answer:
The probability of pulling a chicken is 97/221 (or 43.89%), cow is 47/221 (or 21.27%) and the probability of pulling a human is 77/221 (or 34.84%)
Step-by-step explanation:
I hope this helps. You add all the numbers together, and then divide the number of animals abducted (single type) by the total number of animals abducted.
Answer:
Chicken: 43.89
Cow: 21.27%
Human: 34.84%
can please eplain solution
Answer:
a 37
b 90
c 39
d r0
Step-by-step explanation:
Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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A sporting goods store specializes in mountain bikes. Each week, two dozen mountain bikes are randomly selected from the store's warehouse
to undergo a performance test.
What is the population for the performance test?
Answer:
Step-by-step explanation:
i hope this help
The population the all of the mountain bikes in the store's warehouse option (B) is correct.
What are population and sample?It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
We have:
Each week, two dozen mountain bikes are randomly selected from the store's warehouse to, undergo a performance test.
A sporting goods store may have more than two dozen mountain bikes and each week, two dozen mountain bikes are randomly selected from that store.
Here the two dozen mountain bikes are the sample of the given data, and the population is all of the mountain bikes in the store's warehouse.
Thus, the population the all of the mountain bikes in the store's warehouse option (B) is correct.
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Please help me before I die
Answer:
The answer is 48.
Step-by-step explanation:
The best way is to follow the question through. Calculate the Greatest Common Factor, in this case being 2. And the Least Common Multiple, being 60. She then subtracts the difference, in this case being 60 - 2, which gives you an answer of 48.
- Angela, Barry and Carmelina are in a drama qub with 12 other students (15 total students). A group of 4 peoplewill be selected to design the stage for the next production. How many ways can the group of 4 be chosen...a) ... so that Angela is selected for the group, but Barry and Carmelina are not selected for the group.b) ..so that Angela, Barry and Carmelina are all selected for the group OR are all not selected for the group.(They can't be split up!)
Given:
The number of students in the class is n = 12.
The number of groups formed is k = 4
The number of students in each group is h = 3.
Explanation:
The formula for the number of ways to divide n students in k groups with each group has h students is,
\(\frac{n!}{(h!)^kk!}\)Substitute the values in the formula to determine the number of ways.
\(\begin{gathered} \frac{12!}{(3!)^4(4!)}=\frac{12!}{(3!)(3!)(3!)(3!)(4!)} \\ =15400 \end{gathered}\)So teacher can divide 12 students in 4 different groups such that each group has 3 students is 15400 ways.
how to do this questions
By evaluating the polynomial in x = -1, we can see that (x + 1) is a factor of the polynomial P(x) = 2x⁴ + 2x³ - x² - 5x - 4
How to check if these are factors of the polynomial?We know that a polynomial of degree N, a leading coefficient a, and with the zeros {x₁, x₂, ..., xₙ} can be written as:
p(x) = a*(x - x₁)*(x - x₂)*...
These are the factors of the polynomial.
So, solving the first problem, (x + 1) is a factor of the polynomial if x = -1 is a zero of the polynomial.
The polynomial is:
P(x) = 2x⁴ + 2x³ - x² - 5x - 4
Evaluating it in x = -1 we get:
P(-1) = 2(-1)⁴ + 2(-1)³ - (-1)² - 5(-1) - 4
= 2 - 2 - 1 + 5 - 4
= 0
So yea, (x + 1) is a factor of that polynomial.
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Which of the following phrases are inequalities?
Choose 3 answers:
2² – 5x + 6
11 > (w - 4)
y <3
D) 5+9 < 5.9
1.
Answer:
11 > (w- 4)
y < 3
5 + 9 < 5.9
So these are the phrases which are inequalities.
Question 8 options: Solve for the value of X. 23X = 6
Answer:
divide both sides by 23
making it to be 0.26
The value of x from the equation 23x =6 is x= 6/23.
To solve for the value of x in the equation 23x = 6, we need to isolate x on one side of the equation.
Divide both sides of the equation by 23:
(23x) / 23 = 6 / 23
Simplifying:
x = 6 / 23
Therefore, the value of x is 6 divided by 23, which can be left as a fraction or decimal depending on the desired form.
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What is the answer I need help and I can’t seem to figure it out
The new dimension of the rectangular field are 45 ft by 120ft.
How to find the new dimensions of the field?If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:
lenght = K*L
width = K*W
In this case the original dimensions are:
L = 30ft
W = 80ft
And the scale factor is K = 1.5, then the new dimensions are:
L' = 1.5*30ft = 45ft
W' = 1.5*80ft = 120ft
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I NEED HELP ASAP WILL GIVE BRAINLIST!
the box answers are
Add
Distribute
Divide
Subtract
Answer: 14, 16, 32 and 45
Which triangle is similar to △JKH?
1. △MKN
2. △JOG
3. △MQL
4. All triangles are similar to △JKH
Given that Line a is parallel to Line b (Line a ║ Line b), the triangle that is similar to ΔJKH is 1. ΔMKN
What are similar triangles in geometry?Similar triangles are triangles that have congruent corresponding angles, and in which all three corresponding sides are proportional.
The given parameter is Line a is parallel to Line b, which gives: a║b
Two triangles are similar if they satisfy the following conditions:
Two angles in one triangle are equal to two angles in the other triangle.Each of the three corresponding sides of the two triangles are proportional.Two sides of one triangle are proportional to the corresponding two sides on the other triangle, and the included angle between the specified two sides in both triangles are congruent.According to alternate angles theorem, the angles ∠JHK in ΔJKH is congruent to the ∠KNM in triangle ΔMKN
Similarly, the angle ∠HJK in ΔJKH is congruent to the ∠KMN in ΔMKN
Therefore, ΔJKH is similar to ΔMKN by Angle-Angle, AA similarity postulate.
The correct option for the triangle similar to ΔJKH is option 1. ΔMKN
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find the equation of the line through point (4,-7) and parallel to y = -2/3x + 3/2.
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
y = -2/3 x + 3/2
y = mx + b
m = -2/3
The slope of the given line is -2/3. Parallel lines have equal slopes, so our line also has slope -2/3.
m = -2/3
y = mx + b
y = -2/3 x + b
Substitute the given point for x and y and solve for b.
-7 = -2/3 (4) + b
-21/3 = -8/3 + b
b = -13/3
Answer: y = -2/3 x - 13/3
Determine which conic section is represented based on the given equation: 4x^2+9xy+4y^2-36y-125=0
The conic section of the equation 4x² + 9x +4y² - 36y - 125 = 0 is a circle
Selecting the conic section of the equationThe given equation is
4x² + 9xy + 4y² - 36y - 125 =0
The above equation is an illustration of a circle equation
The standard form of a circle equation is
(x - a)² + (y - b)² = r²
Where
(a, b) is the center
r is the radius
While the general form of the equation is
ax² + fx + by² + gy + c =0
Where c is a constant
Recall that, we have
4x² + 9x + 4y² - 36y - 125 =0
This is the general form
We can convert to the standard form as follows
Divide through by 4
x² + 2.25x + y² - 9y - 31.25 =0
Next, we complete the square of the x-terms and the y-terms
For the x-terms, we have
x² + 2.25x = x² + 2.25x + (2.25/2)² - (2.25/2)²
x² + 2.25x = (x + 2.25/2)² - (2.25/2)²
For the y-terms, we have
y² - 9y = y² - 9y + (9/2)² - (9/2)²
y² - 9y = (y - 9/2)² - (9/2)²
Substitute the new x and y terms
So, x² + 2.25x + y² - 9y - 31.25 = 0 becomes
(x + 2.25/2)² - (2.25/2)² + (y - 9/2)² - (9/2)²- 31.25 =0
Evaluate the sum of like terms
(x + 2.25/2)² + (y - 9/2)² - 3377/64 = 0
So, we have
(x + 9/8)² + (y - 9/2)² = 3377/64
Using the above as a guide, we can conclude that the conic section of the equation is a circle
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in the diagram,QOS and ROU are straight lines.OT is the bisector of angle UOS. Angle POQ and angle QOR are complementary angles. Find the values of x and y.pleaseeee answer sooonnn
Answer:
x=50° and y=45°
Step-by-step explanation:
x=QU(90°)-QP(40°)
x=50°
y=SU(90°)/2
y=45°