Decide whether the two equations are equations are equivalent 7v-3/2=5 14v-3=15 sho work
Answers
Answer:
Not equivalent.
Step-by-step explanation:
The given equations are :
7v-3/2=5 ....(1)
14v-3=15 ....(2)
Taking equation (1) first,
7v-3/2=5
Adding 3/2 to both the sides.
7v-3/2+3/2=5+3/2
7v = 6.5
v = 0.928
Taking equation (2).
14v-3=15
Adding 3 to both sides.
14v-3+3=15+3
14v=18
v = 1.285
So, the values of v in both equations ar not the same. It means two equations are not equivalent.
Related Questions
A two-child family is selected at random. Let B denote the event that at least one child is a boy, and let D denote the event that
the genders of the two children differ. Find the union of B and D. (1 point)
The union is (bb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is (bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is {bb, bg, gb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of
the second child.
The union is (bb, bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
Answers
With the help of probability we can say that, DUM={GG,BB,GB,BG).
What is Probability?Probability is the concept that describes the likelihood of an event occurring.
In real life, we frequently have to make predictions about how things will turn out.
We may be aware of the result of an occurrence or not.
When this occurs, we state that there is a possibility that the event will occur.
In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence
The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.
hence, DUM={GG,BB,GB,BG)
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Two wires are attached to a pole and create similar triangles with the ground. The longer wire is attached to the ground 32 feet from
the base of the pole and the shorter wire is attached to the ground 16 feet from the base of the pole.
If the cosine of the angle formed by the shorter wire and the ground is 8/41, what is the length of the longer wire?
Please help im so confused!
Answers
The length of the longer wire is 82 feet.
Let's denote the length of the longer wire as L. According to the given information, the shorter wire is attached to the ground 16 feet from the base of the pole, and the longer wire is attached to the ground 32 feet from the base of the pole.
We can form two similar right triangles using the wires. The height of each triangle is the height of the pole, and the base of each triangle is the distance from the base of the pole to where the wire is attached to the ground.
In the first triangle, the shorter wire creates an angle with the ground. Let's denote this angle as θ. Since we are given the cosine of this angle, we can use the cosine function to find the height of the pole in terms of θ and the base of the triangle:
cos(θ) = adjacent/hypotenuse = 16/L
Given that cos(θ) = 8/41, we can substitute this value into the equation:
8/41 = 16/L
To solve for L, we can cross-multiply and solve for L:
8L = 41 * 16
L = (41 * 16)/8
L = 82
Therefore, the length of the longer wire is 82 feet.
In summary, the length of the longer wire is 82 feet, as determined by using the cosine of the angle formed by the shorter wire and the ground, and considering the similarity of the triangles formed by the wires and the pole.
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please help me calculation completing square?
x²+2x-24=0?
Answers
Answer:
x = 4, -6
Step-by-step explanation:
x = 4, -6
Define null hypothesis.
Answers
Answer:
(in a statistical test) the hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.
Step-by-step explanation:
What is the answer to the following?
1. 8/9 divide by 2/3
2. 4 divided by 3/4
3. 2 1/2 divided by 3/4
4. 4/9 divided by 5 1/3
5. 7/8 divided by 14
Answers
i would go with either a or b
An insurance policy charges a regular risk premium, , at Years 0,1,2,3,…,9 from today. The policy pays a claim of 2 (i.e. × ) in 15 Years from today. Calculate the value of (to 2 decimal places), assuming an interest rate of 2% per annum.
Answers
Answer:
x = 12.29
Step-by-step explanation:
present value of the claim = x² / (1 + 2%)¹⁵ = 0.743x²
present value of the 10 premiums:
x + x/1.02 + x/1.02² + x/1.02³ + x/1.02⁴ + x/1.02⁵ + x/1.02⁶ + x/1.02⁷ + x/1.02⁸ + x/1.02⁹ = x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x = 9.1323x
0.743x² = 9.1323x
x² / x = 9.1323 / 0.743
x = 12.29
Answer
x = 12.29
Step-by-step explanation:
Given that the policy claims x² in 15 years, at 2% = 0.02, the present value of the claim is given as:
x²/(1 + 0.02)^15
= x²(1/1.02)^15
= 0.743x²
The present value of the 10 premiums:
x + x/1.02 + x/1.02² + x/1.02^3 + x/1.02^4 + x/1.02^5 + x/1.02^6 + x/1.02^7 + x/1.02^8 + x/1.02^9
= x + 0.9504x + 0.9612x + 0.9423x + 0.9238x + 0.9057x + 0.888x + 0.8706x + 0.8535x + 0.8368x
= 9.1323x
Now,
0.743x² = 9.1323x
x²/x = 9.1323/0.743
x = 12.29
This is what we are looking for.
2. La forma correcta de representar la suma de -6 con-12 es:
a)-12 +-6= - 6 b) +-12 +-6 = c)-6 (+) 12 =
3. El resultado de aplicar la jerarquía de operación es a la cadena
70.5 x 18 + 120 = 4 es:
a) 10
b) 35
c) 50
4. Un corredor de maratón lleva de la carrera. La distancia a cubrir e
esta competencia es de 42 km, ¡qué distancia lo hace falt
Answers
Answer:
a) +-12-6
b) 70.5 * 18 = 1,269 + 120 = 1389 - 4 = 1385
c) 18
Step-by-step explanation:
What is the m∠J, to the nearest tenth? JLK is right angle triangle. The length of JL is 9.4 and length of LK is 15.1. explaination?
Answers
The angle m∠J in the right angle triangle is 58.1 degrees.
How to find the angle of a triangle?One of the angle of a right tangle triangle is 90 degrees. The sum of
angles in a triangle is 180 degrees.
Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.
Hence,
tan ∠J = opposite / adjacent
tan ∠J = 15.1 / 9.4
∠J = tan⁻¹ 1.60638297872
∠J = 58.0909229196
Therefore,
m∠J = 58.1 degrees
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Find the weight in pounds of a 390 gram person.
Answers
Answer:
0.86 pound
Step-by-step explanation:
i just asked google:))
A researcher believed that a balanced diet will produce less weight loss than a carbohydrate diet. After selecting study participants for each group, each person weighed in before the study and after a six-week period. The researcher sampled 21 people on the carbohydrate diet and 11 people on the balanced diet and measured their weight loss. Group 1 (Carbohydrate): mean loss = 13.32, s12 = 4.3, n = 21 Group 2 (Balanced): mean loss = 17.44, s22 = 2.2, n = 11 The alternative hypothesis (using Carbohydrate – Balanced) for the researcher's claim is: Group of answer choices Ha: μ1 - μ2 ≤ 0 Ha: μ1 - μ2 > 0 Ha: μ1 - μ2 ≠ 0 Ha: μ1 - μ2 < 0
Answers
The pooled standard deviation is 1.897
The pooled standard deviation is a method for estimating a single standard deviation to represent all independent samples or groups in your study when they are assumed to come from populations with a common standard deviation. The pooled standard deviation is the average spread of all data points about their group mean (not the overall mean). It is a weighted average of each group's standard deviation. The weighting gives larger groups a proportionally greater effect on the overall estimate. Pooled standard deviations are used in 2-sample t-tests, ANOVAs, control charts, and capability analysis.
Pooled standard deviation =
\(=\sqrt{\frac{(n1-1)s1^{2} +(n2-1)s2^{2} }{n1+n2-2} } \\=\sqrt{\frac{(21-1)4.3+(11-1)2.2}{21+11-2} } \\\\=1.897\)
Thus the value pooled standard deviation is 1.897.
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wich line is a skew line to ad?
A . gh
B . ab
C. cd
D. bc
Answers
Answer:
BC
Step by step explanation:
opposite
Which function is represented by the graph?
Answers
second answer is correct
A popular soft drink is sold in 2-liter (2,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 2,000 milliliters and a standard deviation of 20, normally distributed. a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring
Answers
Answer:
0.0062 = 0.62% probability of this occurring
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
\(\mu = 2000, \sigma = 20\)
a. If the process overfills the bottle by more than 50 milliliters, the overflow will cause a machine malfunction. What is the probability of this occurring
Probability of filling the bottle with more than 2000 + 50 = 2050 milliliters, which is 1 subtracted by the pvalue of Z when X = 2050. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{2050 - 2000}{20}\)
\(Z = 2.5\)
\(Z = 2.5\) has a pvalue of 0.9938
1 - 0.9938 = 0.0062
0.0062 = 0.62% probability of this occurring
How many groups of 7 are
in 49?
Answers
Answer:
7
Step-by-step explanation:
49 /7 = 7
Answer:
7:)
Step-by-step explanation:
group 1-ooooooo=7
group2-ooooooo
ooooooo=14
group 3-ooooooo
ooooooo ooooooo=21
group 4-ooooooo ooooooo=28
ooooooo ooooooo
group 5-ooooooo ooooooo
ooooooo ooooooo ooooooo=35
group 6-ooooooo ooooooo ooooooo
ooooooo ooooooo ooooooo=42
group 7-ooooooo ooooooo ooooooo
ooooooo ooooooo ooooooo
ooooooo=49
A store purchased glass vases for $4.50 and sold them for $7.58. What is the mark-up, as a percentage?
Round your answer to the nearest percent and include a percent sign (%).
Answers
Answer:
30%
Step-by-step explanation:
jusr subtract
sammy bought a pencil box for Ghc2.00 and a notebook for Ghc1.50. find the total amount spent
Answers
Answer:
Example: dic, dict=to say
1. addiction
2. edict
The judge's edict was the final say in that matter.
voc, vok=to call
lanation:
32$ spent
Answer:
3.50 if I'm not mistaken
Find the perimeter of a triangle with sides measuring 3 centimeters, 4 centimeters and 5 centimeters. a. 20 cm c. 19 cm b. 12 cm d. 14 cm Please select the best answer from the choices provided A B C D
Answers
Answer:
b. 12 cm
Step-by-step explanation:
The perimeter of any shape is the sum of the lengths of its sides.
We can call the three sides of a triangle a, b, and c. Thus, the perimeter, P is given by the formula:
P = a + b + c
Thus, we can plug in 3 for a, 4 for b, and 5 for c to find P, the perimeter of the triangle in centimeters:
P = 3 + 4 + 5
P = 7 + 5
P = 12
Thus, the perimeter is 12 cm (answer b.).
Which equation represents a line which is parallel to the line y = 5x – 5?
A)5x +y = 8
B)2 – 5y = -30
C)y - 5x = 2
D)3 + 5y = 30
Answers
Answer:
C) y-5x=2
Step-by-step explanation:
y-5x=2
y=5x+2 parrallel to y=5x-5
Can I get brainliest!
Using slope of the lines, we found that option C line y - 5x = 2 is parallel to given line y = 5x – 5.
What is slope of a line and find it using slope intercept form of a line?Slope of a line is the measure of how steep a line is.
The slope intercept form of a line is y = mx + c
where y is y coordinate, x is x coordinate, m is the slope of the line and c is y intercept.
Also ,if two lines are parallel then their slopes are equal.
Given line is y = 5x - 5 , this line is in slope intercept form y = mx +c
comparing with standard form slope , m = 5
Thus given line is of slope 5
A) 5x + y = 8
⇒ y = -5x +8
Slope of the line y = -5x +8 is -5 ≠ 5 (slope of the given line)
∴ option A is not parallel to y = 5x - 5
B) 2 – 5y = -30
⇒ 5y = 32⇒ y = 32/5
y = 32/5 has slope 0 ≠ 5 (slope of the given line)
∴ option B is not parallel to y = 5x - 5
C.) y - 5x = 2
⇒ y = 5x+ 2
Using slope intercept form slope of option C is 5 = slope of the given
line
∴ option C is parallel to y = 5x - 5
D.) 3 + 5y = 30
⇒ 5y= 27 ⇒ y = 27/5
y = 27/5 has slope 0 ≠ 5 (slope of the given line)
∴ option D is not parallel to y = 5x - 5
Therefore, Option C line y - 5x = 2 is parallel to given line y = 5x – 5.
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Emily isbuilding a model of her dog house. The height of the actual dog house is 4 feet.
Answers
Answer:
Step-by-step explanation:
what is the question?
Answer:
What is the question?
What is the absolute value of -2 2/3 as a mixed number in simplest form
Answers
Answer:
2 2/3
Step-by-step explanation:
1) First, find the absolute value of -2 2/3. The absolute value is 2 2/3.
2) Next, convert 2 2/3 to an improper fraction because we want to find the simplest form. The improper fraction is 8/3.
3) Finally, 8/3 cannot be reduced any further, so the answer is 2 2/3.
Hope this helps!
The absolute value is denoted by |x|.
Any negative value put in absolute becomes positive.
The absolute value of \(-2\frac{2}{3}\) as a mixed number in its simplest form is \(2\frac{2}{3}\).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
\(-2\frac{2}{3}\)
We have to write its absolute value.
The absolute value is denoted by |x|.
Any negative value put in absolute becomes positive.
Example:
|-1| = 1
|1| = 1
|-2| = 2
Now,
| \(-2\frac{2}{3}\) | = \(2\frac{2}{3}\)
This is in its simplest form.
Thus,
The absolute value of \(-2\frac{2}{3}\) as a mixed number in its simplest form is \(2\frac{2}{3}\).
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anyone know asap pls
Answers
Answer:
Answer is AAAAAAAAAAAA
Step-by-step explanation:
AAAAAAAA the first one
true or false "the product of -6 and -7 is less than the quotient of -100 and 2."
Answers
Answer:
False. -50 is less than 42 because it’s a negative and 42 is a positive.
Step-by-step explanation:
-6 x -7 = 42
-100 ÷ 2 = -50
Answer:
false
Step-by-step explanation:
Tim answered all the questions on the math test but got 10 wrong answers. He got 4 points for each correct answer, there were no penalty points for incorrect answers. His score was 76 points. Write an equation to find the total number of questions (q) on Tim’s math test
Answers
The equation to find the total number of questions (q) on Tim's math test is 76 = 4x + 0
How to write and solve equation?
Number of wrong questions = 10
Points received for right question = 4 points
Points received for wrong question = 0 points
Total of Tim's score = 76%
According to the given question:
Let the number of questions right answered by Tim be x.
Total points gained by Tim for the right answer = number of questions right answered x Points received for a right answer
= x × 4
= 4x
Points gained by Tim for the wrong answer = number of questions wrong answered x Points received for a wrong answer
= 10 × 0
= 0
Total points scored by Tim = Points gained for the right answer + Points gained for the wrong answer
76 = 4x + 0
76 = 4x
divide both sides by 4
x = 76/4
x = 19
Hence, the number of question answered right by Tim are 19.
Total number of questions attempted by Tim
Total number of questions attempted by Tim
= number of questions answered right +number of questions answered Wrong
= 19 + 10
= 29
Hence, the total number of questions attempted by Tim is 29.
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8. Choose all decimals that are equivalent to (7 x 100) + (5 × 1) + (8 × 7) + X 10 (1 × 100). 75.081 705.810 705.801 75.810 705.81 705.081
Answers
Answer:
705.81 and 705.810
Step-by-step explanation:
700 + 5 + 0.8 + 0.01 = 705.81
Answers:
705.810
705.81
Determine if a triangle exists with the given side lengths.
3, 6, 2
Answers
Answer:
Not a triangle.
Criteria for it to be a triangle:
3 = A
6 = B
2 = C
A + B > C
B + C > A
A + C > B
What this says, is that if you add any two sides of the triangle, it needs to be bigger than the one you left out.
3 + 6 > 2 This one works
6 + 2 > 3 This one works
3 + 2 > 6 This one doesn't work because 5 is less than 6
Since the last one didn't work, it's not a triangle.
A family of statisticians is trying to decide if they can afford for their child to play youth baseball. The cost of joining a team is normally distributed with a mean of $750 and a standard deviation of $185. If a sample of 40 teams is selected at random from the population, select the expected mean and standard deviation of the sampling distribution below.oz= $185 oz= $29.25 oz = $4.63 nu2 = $118,59 0 nu2 = $18.75 nu2= $750
Answers
If a sample of 40 teams is selected at random from the population, the expected mean is $750 and the standard deviation is $29.25
The mean of the cost of joining a team = $750
Standard deviation = $185
A sample of 40 teams is selected at random from the population
The expected standard deviation = \(\sqrt{\frac{185^2}{40} }\)
= $29.25
Here the cost of joining a team is normally distributed with a mean of $750
Here the distribution of the cost of joining is normal the mean of the sample distribution, so it will be equal to the mean of the population
The mean = $750
Therefore, the standard deviation is $29.25 and the mean is $750
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Find the missing side lengths, put answer as radical in simplest form
Look at picture for reference
Answers
The value of the missing side lengths x and y are 5√2 and 5 respectively.
What is the value of side length x and y?The figure in the image is a right triangle.
Angle θ = 45 degree
Hypotenuse = x
Opposite to angle θ = y
Adjacent to angle θ = 5
To solve for side x and side y, we use the trigonometric ratio.
Note that:
Cosine = adjacent / hypotenuse
tangent = opposite / adjacent
Solving for x:
Cosine = adjacent / hypotenuse
Plug in the values
cos( 45 ) = 5/x
x = 5 / cos( 45 )
x = 5√2
Solving for side y:
tangent = opposite / adjacent
Plug in the values
tan( 45 ) = y/5
y = tan( 45 ) × 5
y = 5
Therefore, the value of side length x is 5 units.
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A bag contains 20 red marbles, 8 white marbles, and 2 gray marbles. You randomly pick out a marble, record its color, and put it back in the bag. You repeat this process 120 times. How many white or gray marbles do you expect to get?
please answer soon!!
Answers
Answer:
10
Step-by-step explanation:
A local orchestra is holding a charity concert concert at the community center. Each adult ticket $12, and child ticket costs $8. The organizers of the event hope to raise no less than $2,500, and the community center can seat up to 280 people. This graph and system in inequalities represent this situation, where x represents the number of adult tickets and y represents the number of child tickets. 12x + 8y> 2,500. X + y < 280
Answers
The answer is (180,80)
To solve this problem, we have to plot the graph, using a tool. This question relates to an inequality and graphical method is a reliable approach to solve inequality problem.
InequalityThe given question is an inequality situation where we are asked to use graph to solve.
The data given are
adult ticket = $12child ticket = $8Total amount raised = $2500Total number of people = 280The inequality for this problem is given is as
\(12x + 8y > 2500\\x + y < 280\)
Kindly find the attached image as the graph and solution to this problem.
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What is the discriminant of the quadratic equation 9x^2– 8x – 2 = 0?
Answers
Answer:
\(\boxed {\boxed {\sf 136}}\)
Step-by-step explanation:
The quadratic formula helps us find the roots of a quadratic equation. The equation is:
\(\begin{array}{*{20}c} {x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} } \\ \end{array}\)
where \(ax^2+bx+c=0\)
The discriminant is just the part under the square root. This helps tell us if there are two, one, or zero real solutions.
The discriminant is:
\(b^2-4ac\)
We are given the quadratic: \(9x^2-8x-2=0\)
Therefore, a is 9, b is -8, and c is -2.
\(a=9 \\ b= -8 \\c= -2\\\)
\((-8)^2-[4(9)(-2)]\)
Solve the exponent.
(-8)²= -8*-8=64\(64-[4(9)(-2)]\)
Multiply 4, 9, and -2.
4*9*-2= 36*-2=-72\(64-(-72) = 64+72 \\=136\)
The discriminant is 136. Since it is a non-zero, positive number, this quadratic has 2 real solutions/zeroes/roots.