Answer:
b.
Step-by-step explanation:
Answer:
a. 6
b. 0 i think
Step-by-step explanation:
which postulate or theorem proves that these two triangles are congruent?
a. ASA Congruence Postulate
b. SAS Congruence Postulate
c. AAS Congruence Theorem
d. HL Congruence Theorem
Express the sum of 5500 mm, 720 cm, 90 dm, and 20 dam in metres
The sum of 5500 mm, 720 cm, 90 dm, and 20 dam can be expressed in meters as 58.2 meters. To convert the given measurements to a common unit, we need to convert each unit to meters and then add them together.
1 meter is equal to 1000 millimeters (mm), 100 centimeters (cm), 10 decimeters (dm), and 0.1 decameters (dam).
Converting the given measurements to meters:
5500 mm = 5500/1000 = 5.5 meters
720 cm = 720/100 = 7.2 meters
90 dm = 90/10 = 9 meters
20 dam = 20 * 0.1 = 2 meters
Now, we can add these converted measurements together:
5.5 meters + 7.2 meters + 9 meters + 2 meters = 23.7 meters
Therefore, the sum of 5500 mm, 720 cm, 90 dm, and 20 dam in meters is 23.7 meters.
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Please help this is one of my final questions (20 POINTS)
Answer:
y=15
Step-by-step explanation:
x=1substitute x=1 into y=3×5*solve the equation y=3×5 with the 1 above the 5which equals y=15TW¯¯¯¯¯¯¯¯¯=3, CW¯¯¯¯¯¯¯¯¯=x, TU¯¯¯¯¯¯¯=x+7, VW¯¯¯¯¯¯¯¯¯=6. Find the value of x.
Answer:
x = 4
Step-by-step explanation:
TW = 3
WU = TU - TW = x + 7 - 3 = x + 4
CW = x
VW = 6
By the property of intersecting chords inside a circle, we have:
TW * WU = CW * VW
3(x + 4) = x * 6
3x + 12 = 6x
12 = 6x - 3x
12 = 3x
12/3 = x
4 = x
x = 4
The value of x is 4.
What is the intersecting chords theorem?The chord theorem is defined as a statement in basic geometry that explains the relationship between the four line segments formed by two intersecting chords inside of a circle. According to this statement, the products of the line segment lengths on each chord are equal. It is also known as the intersecting chords theorem.
According to given figure,
TW = 3,
CW = x,
VW = 6,
Chord TU = x + 7,
WU = TU - TW
Substitute the value of Chord TU in above equation,
WU = x + 7 - 3
WU = x + 4
According to property of intersecting chords inside a circle, the products of the line segment lengths on each chord are equal.
TW × WU = VW × CW
3(x + 4) = 6 × x
3x + 12 = 6x
12 = 6x - 3x
12 = 3x
x = 12/3
x = 4
Hence, the value of x is 4.
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The water level in a swimming pool increased from 4.5 feet to 6 feet what is the percent increase in the water rounded to the nearst tenth of a percent
Answer: 46%
Step-by-step explanation:
People use data and statistics to help them make important policy decisions, to identify problems in an organization, and to predict outcomes. However, data is subject to interpretation and may be affected by outside factors.
Think about the many statistical scores or rankings you receive in school, such as GPA, SAT and ACT scores, test scores, and class ranking. Describe the usefulness and limitations of these pieces of data in defining who you are as a person or as a student. In what ways do they help give a clear picture? What are they not conveying?
The usefulness of the data include:
Making informed decisions. Getting the results wanted.Some examples of limitations include:
Limited sample size or lack of reliable data Missing dataDeficiencies in data measurementsHow to illustrate the information?It should be noted that data and statistics to help them make important policy decisions, to identify problems in an organization, and to predict outcomes.
The limitation include the fact that a limited sample size or lack of reliable data can impact it.
In conclusion, it should be noted that the concept here shows the limitation and the usefulness of the data.
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Vera uploaded a hilarious video of a squirrel to a funny video website. It was viewed 320 times on the first day. Each day since then, the number of views was 25% more than the day before.
Let f(n) be the number of views Vera's video for on the nth day side she uploaded it.
What kind of sequence is it?
A. Arithmetic sequence
B. Geometric Sequence
Write an explicit formula for the sequence.
f(n)=
Answer:
Step-by-step explanation:
On first day , the video was viewed = 320 times .
We are given that Each day since then, the number of views was 25% more than the day before. This means the likes are increasing 1.25 per day .
So, this situation forms G.P.
Where common ratio r = 1.25
First term = f(1) = 320
Formula of nth term in G.P. =
So, nth term of the given situation :
Where f(n) denotes the number of views on nth day .
So, the number of views Vera's video got on the nth day =
Step-by-step explanation:
according to insurance records a car with a certain protection system will be recovered 91% of the time. find the probability that 5 of 6 stolen cars will be recovered.
Probability that 5 of 6 stolen cars will be recovered with insurance records a car with a certain protection system will be recovered 91% of the time is equal to P(x=5)=0.3369 (approximately).
As given,
Insurance protection system recovered of a car=91%
p=0.91
q=1-p
=1-0.91
=0.09
n=6
x=5
Using Binomial theorem ,probability of 5 of 6 stolen cars will be recovered is:
ⁿCₓ(p)ˣ(q)ⁿ⁻ˣ
=⁶C₅(0.91)⁵(0.09)⁶⁻⁵
=[6!/(6-5)!5!] × (0.91)⁵× (0.09)
=6×(0.91)⁵×0.09
=0.3369
Therefore, probability that 5 of 6 stolen cars will be recovered with insurance records a car with a certain protection system will be recovered 91% of the time is equal to P(x=5)=0.3369 (approximately).
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In the U.S.A., the symbol 5/2 means the 5th month, 2nd day, or May 2. But in England, 5/2 means the fifth day, 2nd month, or February 5. How many days of the year each have the same symbol in both the U.S. and England
In both the U.S.A. and England, there are only two days of the year that share the same symbol: May 2 (5/2) and February 5 (5/2).
In the United States, the symbol 5/2 is interpreted as the 5th month and 2nd day, representing May 2. On the other hand, in England, 5/2 denotes the 5th day and 2nd month, indicating February 5. To determine how many days of the year have the same symbol in both countries, we need to find the dates that match.
In the U.S., there are 12 months, so there are 12 possible combinations with 5 as the month. However, only May 2 (5/2) coincides with the English interpretation.
In England, there are 31 days in January, so there is no match with the American format. However, in February, there are 28 days (or 29 in a leap year), and February 5 (5/2) aligns with the American interpretation.
Hence, there are only two days of the year that share the same symbol in both the U.S. and England: May 2 (5/2) and February 5 (5/2).
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5. 3x = 6. 40x how many time do I need to multiply thee number for them to be the ame
The equation 3x = 6.4 can be solved for x by dividing both sides of the equation by 3: 3x/3 = 6.4/3; x = 2.13
So, for 3x and 6.4x to be equal, x must be equal to 2.13. This means that you need to multiply the number 6.4 by 2.13 to equal 3. The equation 3x = 6.4 represents the relationship between two variables, x and 3x. We are trying to find the value of x that would make 3x equal to 6.4. To do this, we divide both sides of the equation by 3. Dividing both sides of an equation by the same number does not change the relationship between the variables; it only scales down the variable's value by the same factor.
So, by dividing both sides of the equation by 3, we get:
3x/3 = 6.4/3
x = 2.13
Finally, to make 6.4x equal to 3, we need to divide 6.4 by 2.13: 6.4 / 2.13 = 3. So, we need to multiply 6.4 by 2.13 to equal 3.
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Find the 27 th term of each sequence.
-11,-5,1, , ,
The 27th term of the sequence -11, -5, 1, , , is 145.In this sequence, we can observe that each term is obtained by adding 6 to the previous term.
So, the pattern is an arithmetic sequence with a common difference of 6.
To find the 27th term, we can use the formula for the nth term of an arithmetic sequence:
nth term = first term + (n - 1) * common difference
In this case, the first term is -11 and the common difference is 6. Plugging these values into the formula, we have:
27th term = -11 + (27 - 1) * 6
Simplifying the expression, we get:
27th term = -11 + 26 * 6
Calculating the value, we have:
27th term = -11 + 156
Therefore, the 27th term of the sequence is 145.
Main answer: The 27th term of the sequence -11, -5, 1, ... is 145.
The sequence follows an arithmetic pattern where each term is obtained by adding 6 to the previous term. To find the 27th term, we used the formula for the nth term of an arithmetic sequence and substituted the given values. After simplifying the expression, we found that the 27th term is 145.
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the value of result in the following expression will be 0 if x has the value of 12. result = x > 100 ? 0 : 1;
The value of result in the following expression will be 0 if x has the value of 12:
result = x > 100 ? 0 : 1.
The expression given is known as a ternary operator.
It's a short form of if-else.
The ternary operator is written with three arguments separated by a question mark and a colon:
`variable = (condition) ? value_if_true : value_if_false`.
Here, `result = x > 100 ? 0 : 1;` is a ternary operator, and its meaning is the same as below if-else block.if (x > 100) { result = 0; } else { result = 1; }
As per the question, we know that if the value of `x` is `12`, then the value of `result` will be `0`.
Hence, the answer is `0`.
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A study showed that the population of fish in a pond
increased from 310 to 403. What is the percent of the
increase?
find a value for h so that the equation ax = 0 has a nonzero solution x, where a = [1 -1 2 1 0 h 2 -1 2]
To find a value for h so that the equation ax = 0 has a nonzero solution x, we need to determine the null space of matrix a. The null space is the set of all solutions x that satisfy the equation ax = 0. If the null space contains a nonzero vector, then we have found a value for h that satisfies the condition.
To find the null space, we row reduce the augmented matrix [a|0]. After performing row operations, we obtain:
[1 -1 0 3 0 h-1 0 1 0|0]
From this, we can see that the third and sixth variables are free, and we can express the other variables in terms of these. Setting h = -2, we can find a nonzero solution for x. For example, letting the third and sixth variables be 1 and 0 respectively, we get:
x = [1, -1, 2, -1, 0, 1, 0, 1, 2]
Therefore, a value of h = -2 will give a nonzero solution to the equation ax = 0.
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ethan plants a 8-inch tomato plant in his garden. the plant grows by about 14% per week for several months. which formula represents the height h of the tomato plant (in inches) as a function of the time t in weeks since it was planted?
The formula that represents the height h of the tomato plant as a function of the time t in weeks since it was planted is h=8(1.14)^t inches.
The height of a plant is considered to be "h".
The increase percentage per week =14
Compound interest is the interest you earn on interest. This may be illustrated via way of means of the usage of primary math: in case you have $one hundred and it earns 5% interest every year, you may have $one hundred and five on the cease of the primary year. At the cease of the second one year, you may have $110.25.
Now,
h=8(1+r/100)^t
h=8(1+14/100)^t
h=8(114/100)^t
h=8(1.14)^t inches
Therefore, the formula that represents the height h of the tomato plant as a function of the time t in weeks since it was planted is h=8(1.14)^t inches.
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Help and get what you want.
Answer:
70°
Step-by-step explanation:
This is a question on angle properties.
Angle K + 35 + 75 = 180 (Sum of angles in a triangle)
Angle K + 110 = 180
Angle K = 180 - 110 = 70°
Answer:
angle k = \(\boxed {70}^\circ\)
Step-by-step explanation:
The angles in a triangle add up to 180°.
∴ ∠k + 75° + 35° = 180°
⇒ ∠k + 110° = 180°
⇒ ∠k = 180° - 110°
⇒ ∠k = 70°
a computer password must be 5 characters long. the first character must be a capital letter. the second character must be a digit from 0 through 9, inclusive. the third character must be one of eight specified symbols. each of the fourth and fifth characters can be any combination of capital or lowercase letters, digits, or symbols, where the symbols are from the 8 specified symbols. how many different passwords can be made using these rules?
The total number of different passwords that can be made is 1,084,480.
To find this:
There are 26 capital letters in the English alphabet, so there are 26 possible choices for the first character of the password.
There are 10 digits from 0 through 9, inclusive, so there are 10 possible choices for the second character of the password.
There are 8 specified symbols, so there are 8 possible choices for the third character of the password.
For the fourth and fifth characters, there are a total of 62 possible choices (26 capital letters + 26 lowercase letters + 10 digits + 8 specified symbols).
Therefore, using these rules, the total number of different passwords that can be made is:
26 (possible choices for the first character) x 10 (possible choices for the second character) x 8 (possible choices for the third character) x 62 (possible choices for the fourth and fifth characters) = 1,084,480 different passwords.
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Sketch the graph of each line by identifying the x-and y-intercepts.
Answer:
Slope: -5/3 , Y-intercept: (0,5)
Step-by-step explanation:
Vote brainliest!
Write the slope-intercept form of the equation of each line.3) 6x - 8y = 404) -10 + 3x = -5y
Given data:
The expression for the equation of the line is 6x-8y=40.
The given equation can be written as,
6x-8y=40
8y=6x-40
y=6x/8-40/8
=3x/4-5
Thus, the slope intercept form is y=3x/4-5.
PLEASE HELP ME!!!! TEST IN LIKE 5 MINS!!!!!!! What does it mean for a system of equations to have "one" solution?????
Answer:
When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution
Step-by-step explanation:
Please help…
Reciprocal of 1/-15
Answer:
-15 is the reciprocal of 1/-15
Step-by-step explanation:
hope this helps you!!
Answer:
-15/1
-15........................
Determine the type of triangle that is drawn below.
Solution:
To classify a triangle a scalene right:
It must have different side lengthsIt must have a right angleThis triangle is a Scalene Right because:
It has different side lengths. It has a right angle.In conclusion...
This triangle is a Scalene Right.
The triangle is Scalene Right
How??The triangle is scalene because all of its sides are unequal and we know that a triangle with all unequal sides is called a scalene triangle.And a triangle is considered as right triangle when at least one of the angles is 90°..In our case,
MK≠KL≠LM [Scalene]∠K = 90° [Right]Write as an equation.
Answer:
10
Step-by-step explanation:
(5+x=15)☞︎︎︎(Equation)
5-5+x=15-5
X=10
a normal distribution has a mean of 137 and a standard deviation of 5. find the z-score for a data value of 150.
The \(Z-score\) of the normal distribution is found to be 6.5
Here we have a normal distribution having mean of 137 and a standard deviation of 5. The data value is 150 so we find the \(Z-score\) as below:
Mean (μ) = 137
Standard deviation (SD) σ = 5
Data value x = 150
Z-score = \(\frac{x - mean }{SD}\)
∴ Z-score = \(\frac{150 -137 }{5}\)
⇒ Z- score = 13 /5
⇒ Z-score = 6.5
Therefore the \(Z-score\) of the distribution is 6.5
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A 300 ft long wire is used to fence a rectangular plot whose length is twice its width. Find the area
of the plot.
Answer:
5000m^2
Step-by-step explanation:
width = w
length = 2w
perimeter: 2(w) + 2(2w) = 300
2w + 4w = 300
6w = 300
width = w = 50
width*2 = length
length = l = 100
Hence,
Length = 2w = 100 m
Width = w = 50 m
Area = l*w = 100*50 = 5000m^2
Answer:
5,000 square feet
Skills Needed: 2-D Geometry
Step-by-step explanation:
1) First, it says that 300 ft is the total amount of wire used to build the rectangular plot. This means that 300 is the perimeter of the plot. It is the length of the entire boundary of the shape.
---> The formula for perimeter is: \(2(l+w)\) for a rectangle.
2) We can use the perimeter formula to the find the length and width, and then use the area formula to find the area. Area is the total amount of space taken up by the figure in 2 dimensions.
---> Area formula is: \(l*w\) for a rectangle
3) We are given that the length is 2 times as much as (or twice as much as) the width.
---> \(l=2w\)
Using perimeter formula:
\(2(l+w) = 300 \\ 2(2w+w) = 300 \\ 2(3w) = 300 \\ 6w = 300\\ w = 50\)
We substitute in for length and then solve for width as shown above.
Given the width, we can solve for length using the fact that length is twice the width.
\(l=2w \\ l=2*50 \\ l=100\)
We use substitution to solve for length.
4) Now given length is 100, and with is 50, we can use the area formula.
\(A = l*w=100*50=5000\)
This means the area is 5000 square feet.
y(x-(9-4y)) for x=4 and y=2
Answer:
6
Step-by-step explanation:
( 2 ) ( 4 - ( 9 - 4 ( 2 )))
2 ( 4- ( 9-8 ))
2 ( 4 - ( 1 ))
2 ( 3 )
6
Answer:
6Step-by-step explanation:
2(4-(9-4(2) )2 ( 4- (9-8)2(4 - 1)2(3)6AGES Zack is 15 years old. This is 3 years younger than his brother Tyler.
How old is Tyler?
Answer:
18
Step-by-step explanation:
Customers of Dough Boy Ltd. have specified that pizza crusts they order should be 28−32 centimeters in diameter. Sample data recently collected indicate that Dough Boy 's crusts average 30 centimeters in diameter, with a standard deviation of 1.1 centimeters. Is Dough Boy 's pizza crust production system capable of meeting its customers' requirements? a. Cp=1.566; the process is capable b. Cp=1.566; the process is not capable c. Cp=0.606; the process is capable d. Cp=0.606; the process is not capable
Dough Boy Ltd.'s pizza crust production system is capable of meeting its customers' requirements. The Cp value of 1.566 indicates that the process is capable.
To determine if Dough Boy's pizza crust production system is capable of meeting its customers' requirements, we can calculate the Cp value. Cp is a process capability index that assesses the ability of a process to meet specifications. It is calculated by dividing the tolerance range by the process variability.
In this case, the customers' requirement is for pizza crusts to be 28-32 centimeters in diameter. The average diameter of the crusts produced by Dough Boy is 30 centimeters, with a standard deviation of 1.1 centimeters. The tolerance range is the difference between the upper specification limit (32 cm) and the lower specification limit (28 cm), which is 4 centimeters.
Using these values, we can calculate the Cp value:
Cp = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation)
Cp = (32 - 28) / (6 * 1.1)
Cp = 4 / 6.6
Cp ≈ 0.606
The calculated Cp value is 0.606, which falls below the threshold of 1.0. Therefore, the process is not capable of meeting the customers' requirements. Thus, the correct answer is (d) Cp = 0.606; the process is not capable.
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The formula for the volume of a sphere is V = Ar3, where Vis the volume
and ris the radius. Solve the formula for r, and then use it to answer the
question.
The volume of a basketball is about 435 cubic inches.
What is the radius of the basketball, to the nearest tenth of an inch? Use 3.14
for T.
it is 4 . 7 on a pex
I forgor
The radius of the basketball is 5 inches when the volume of a basketball is about 435 cubic inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The formula for the volume of a sphere is V = 4/3πr³,
where V is the volume
and r is the radius.
Let us find the formula for r
3V/ 4π =r³
Take cube root on both sides
∛3V/ 4π = r
Now let us find the radius when the volume of a basketball is about 435 cubic inches.
∛3×435/ 4×3.14 = r
1305/12.56 = r
∛103.9 = r
4.7 = r
5=r
Hence, the radius of the basketball is 5 inches when the volume of a basketball is about 435 cubic inches.
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(PLEASE HELP)
Which set of side lengths will form a triangle
A. 3,6,12
B. 9,9,9
C. 7,7,14
D. 13,6,7
Answer:
Step-by-step explanation:
Option B is the correct answer