Answer:
\(6p+4q=r\\\\4q = r-6p\)
\(q = \frac{r}{4} -\frac{6}{4}p \\\\q = \frac{r}{4} -\frac{3}{2}p\)
The question is in the image.
Answer:
Both are linear functions.
Step-by-step explanation:
There are no same x values in the table and the graph passes the vertical line test.
12. Select all the pairs that are equivalent.
A 5.80; 5+0.08
B (2x1)+(3x):2.3
6.050; six and five thousandths
D eight and seventy-one hundredths; (8X1) + (7 x 100) + (1 x 1,000)
E nine and nine tenths; 9.9
Results:
The equivalent pairs are:
A. 5.80; 5+0.08,
C. 6.050; six and five thousandths, and
E. nine and nine-tenths; 9.9
How do we determine the equivalent expressions?A. 5.80; 5+0.08
The two are equivalent expressions because they both represent the same decimal number. 5.80 can be interpreted as 5 units and 0.80 units, which is the same as 5 units and 0.08 units. So 5.80 is equal to 5+0.08.
C. 6.050; six and five thousandths
The two expressions describe the same decimal number. 6.050 means 6 whole units, 5 hundredths, and 0.005 thousandths, while "six and five thousandths" means the same thing - 6 whole units, 5 hundredths, and 0.005 thousandths.
E. nine and nine tenths; 9.9
They are also equivalent. Nine and nine-tenths mean 9 whole units and 9 tenths, while 9.9 means the same thing - 9 whole units and 9 tenths.
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help me answer this please
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952
Need help with #2 and #3 all of the problem
Answer:
ang hirap wag nlang hahahahahahahaha
20 Per Question, Algebra 2, Thanks :)
The answer to the expression is (x+3)/(x-1)
What is a quadratic expression?You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0
The given expressions are
(x² - 3x - 18) / (x²- 7x +6
(x²-6x +3x +19) / (x²-x -6x +6)
This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}
⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]
This means that [(x+3)(x-6)] / [(x-6)(x-1)]
Dividing by (x-6) to have
Therefore the value of the expression is (x+3)/(x-1)
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Choose the expression which represents the phrase, “the sum of 12 and a number H”
Answer:
the correct answer is option C
Answer:
Hello There!!
Step-by-step explanation:
The answer is c. 12+h as sum means adding 12 and then with h.
hope this helps,have a great day!!
~Pinky~
In triangle ABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, inches?
- 3 < AC < 7
- 3 ≤ AC ≤ 7
- 2 < AC < 8
- 2 ≤ AC ≤ 8
Answer:
-2 < AC < 8
Step-by-step explanation:
The last side has to be less than the sum of the other 2 sides, or less than 8. The only answer choice with this is the 3rd one.
A survey of 2,450 adults reported that 57% watch news videos. Complete parts (a) through (c) below. Question content area bottom Part 1 a. Suppose that you take a sample of 50 adults. If the population proportion of adults who watch news videos is 0.57, what is the probability that fewer than half in your sample will watch news videos? The probability is enter your response here that fewer than half of the adults in the sample will watch news videos. (Round to four decimal places as needed.) Part 2 b. Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.57, what is the probability that fewer than half in your sample will watch news videos? The probability is enter your response here that fewer than half of the adults in the sample will watch news videos. (Round to four decimal places as needed.) Part 3 c. Discuss the effect of sample size on the sampling distribution of the proportion in general and the effect on the probabilities in parts (a) and (b). Choose the correct answer below. A. The probabilities in parts (a) and (b) are the same. Increasing the sample size does not change the sampling distribution of the proportion. B. Increasing the sample size by a factor of 5 decreases the standard error by a factor of 5. This causes the sampling distribution of the proportion to become more concentrated around the true population proportion of 0.57 and decreases the probability in part (b). C. Increasing the sample size by a factor of 5 increases the standard error by a factor of 5. This causes the sa
Using the normal distribution and the central limit theorem, it is found that:
a) The probability is of 0.1587 = 15.87% that fewer than half of the adults in the sample will watch news videos.
b) The probability is of 0.0125 = 1.25% that fewer than half of the adults in the sample will watch news videos.
c) The standard error is inversely proportional to the square root of n, hence increasing the sample size by a factor of 5 decreases the standard error by a factor of \(\sqrt{5}\), which causes the sampling distribution of the proportion to become more concentrated around the true population proportion of 0.57 and decreases the probability in part (b).
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It 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, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1 - p)}{n}}\), as long as \(np \geq 10\) and \(n(1 - p) \geq 10\).In this problem, we have that the proportion is p = 0.57.
Item a:
Sample of n = 50, hence the mean and the standard error are given by:
\(\mu = p = 0.57\)
\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.57(0.43)}{50}} = 0.07\)
The probability that fewer than half in your sample will watch news videos is the p-value of Z when X = 0.5, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{0.5 - 0.57}{0.07}\)
\(Z = -1\)
\(Z = -1\) has a p-value of 0.1587.
The probability is of 0.1587 = 15.87% that fewer than half of the adults in the sample will watch news videos.
Item b:
Sample of n = 250, hence:
\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.57(0.43)}{250}} = 0.0313\)
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{0.5 - 0.57}{0.0313}\)
\(Z = -2.24\)
\(Z = -2.24\) has a p-value of 0.0125.
The probability is of 0.0125 = 1.25% that fewer than half of the adults in the sample will watch news videos.
Item c:
The standard error is inversely proportional to the square root of n, hence increasing the sample size by a factor of 5 decreases the standard error by a factor of \(\sqrt{5}\), which causes the sampling distribution of the proportion to become more concentrated around the true population proportion of 0.57 and decreases the probability in part (b).
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Both numbers have three significant figures. How many significant figures should be recorded for the answer to the division problem below?
\(43.6 \div 21.2\)
= [?] significant figures
Answer:
8 significant figures should be provided.
Step-by-step explanation:
I believe I am correct, but check your answer anyways.
What is the distance between point T (-5,1) and point I (-1,1)
The distance between point T (-5, 1) and point I (-1, 1) is 4 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):
x1 = -5, y1 = 1 (coordinates of point T)
x2 = -1, y2 = 1 (coordinates of point I)
Plugging these values into the formula, we have:
Distance = √((-1 - (-5))² + (1 - 1)²)
= √(4² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.
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what is 3/5 divide by 4/2
Answer: \(3/10\)
Step-by-step explanation:
\((\frac{3}{5}): (\frac{4}{2}) = \frac{3}{10} = 0.3\)
Divide: 3/5 : 4/2 = 3/5 · 2/4 = 3 · 2/5 · 4 = 6/20 = 2 · 3/2 · 10 = 3/10
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of \(\frac{4}{2}\) is \(\frac{2}{4}\)) of the second fraction.
Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 2 gives 3/10.
In other words - three-fifths divided by four halves = three tenths.
\(3/10=0.3\)
\(3/40=0.07500\)
\(Divide\) \(3/40 ~ by ~ 2\) \(=0.3\)
Answer:
\(\sf Steps\)
↝ Multiply
↝ Simplify if needed
________________
\(\sf Part\) I
\(\frac{3 * 2}{5 * 4} = \frac{6}{20}\)
________________
\(\sf Part\) II
\(\frac{6}{20} / \frac{2}{2} = \frac{3}{10}\)
________________
\(\sf Part\) III
⋆ As we know, 6-twentieths cannot be simplified any further because 3 cannot be simplified by another odd number. With this, we come to a conclusion.
\(\boxed {\frac{\sf 3}{\sf 10}}\)
What is -5+8=-3y+10 equal I’m so lost
Answer:
y=7/3
Step-by-step explanation:
Answer:
7/3 = y
Step-by-step explanation:
-5+8=-3y+10
3 = -3y + 10
Subtract 10 from each side
3- 10 = -3y +10-10
-7 = -3y
Divide each side by -3
-7/-3 = -3y/-3
7/3 = y
One could calculate an affordable monthly rate for rent and expenses by dividing annual income by 12 and calculating 30% of that figure
write this as an equation
One popular rule of thumb is the 30% rule,
which says to spend around 30% of your gross income on rent.
So if you earn $2,800 per month before taxes,
you should spend about $840 per month on rent.
To calculate,
simply divide your annual gross income by 40 - if you make $120,000 a year, you can spend $3,000 on rent.
An equivalent is the 30% rule, meaning that you can put 30% of your annual gross income in rent.
If you make $90,000 a year, you can spend $27,000 on rent, and so your monthly rent will be $2,250.
Typically, the rents that landlords charge fall between 0.8% and 1.1% of the home's value.For example, for a home valued at $250,000, a landlord could charge between $2,000 and $2,750 each month.
If your home is worth $100,000 or less, it's best to charge rent that's close to 1% of its value.
To determine daily rent, the total number of days are divided by the monthly rent.
The daily rent is then multiplied by the number of days the tenant occupies the property.To get an appropriate calculation for how much each roommate should pay depending on the size of their room, take the square footage of each room and divide by the total square footage of the apartment. This will give you a percentage for the size and value of each room, which you can apply to the total cost of rent.
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Rocco loves making spaghetti with his grandmother. They make homemade tomato sauce by adding pureed tomatoes, sugar, salt, olive oil, and water. He notices that after he stops stirring, he sees a greasy film at the top of the red liquid. What does this tell you about his sauce mixture?
Oil floats on water because it is less dense I believe. So that would be the oil on top of the sauce(the oil is on top because of the water that was also added).
Laura tiene las tres séptimas partes de la edad de su mamá dentro de 5 años la edad de su mamá será el doble que la edad de ella ¿Cuántos años tiene cada una?
Answer:
Laura tiene 15 años mientras que su madre tiene 35 años.
Step-by-step explanation:
Deje que la edad de Laura sea L.
Deje que la edad de su madre sea m.
Tiene 3/7 de la edad de su madre:
L = 3 m / 7
En 5 años, la edad de su madre será el doble de su edad:
(m + 5) = 2 (L + 5)
m + 5 = 2L + 10
m - 2L = 5
Pon el valor de L:
m - 2 (3 m / 7) = 5
m - 6 m / 7 = 5
Multiplica por 7:
7m - 6m = 35
m = 35 años
=> L = 3 * 35/7 = 15 años
Laura tiene 15 años mientras que su madre tiene 35 años.
Who can help me with my social studies questions answer ASAP
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
You place one grain of rice on the first square of a chess board. You then put two on the second,
four on the third, eight on the fourth, and so on until you've reached the sixty-fourth square.
If Scrooge McDuck bought five-pound bags of enriched white rice from Walmart, could he afford
to buy all the rice needed for the previous paragraph?
Answer:
yes
Step-by-step explanation:
Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
HELP
___________________________
The three transformations from the parent function f(x) = 3√x are:
Vertical stretch by 2: f(x) = 6√xVertical shift up by 5: f(x) = 3√x + 5Horizontal shift right by 2: f(x) = 3√(x-2)What are transformations?
In mathematics, a transformation is described as a function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f: X → X
These transformations made above from the parent function f(x) = 3√x change the appearance of the parent function, but at the same time maintain its basic shape of a square root function.
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the volume of a cylinder is 196x in. 3 and the hight of the cylinder is 1 in. what is the radius of the cylinder
The radius of the cylinder is 7. 9 in
How to determine the radiusFirst, we need to know the formula for volume of a cylinder
The formula for calculating the volume of a cylinder is expressed as;
V = πr²h
Such that the parameters of the formula are expressed as;
V is the volume of the cylinderr is the radius of the cylinder h is the height of the cylinderFrom the information given, we have that;
Substitute the values
196 = 3.14 × 1 × r²
Divide both sides by the values
r² = 62. 42
Find the square root of both sides
r = 7. 9 in
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Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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ill mark brainlist plss help
Answer: meter
Step-by-step explanation:
Anyone know how to do this
Answer:
Look in explanation
Step-by-step explanation:
I will assume that you're trying to solve for "x".
For number 1: 49+(5x+1) is a supplementary angle(180 degrees) so you can subtract 180-49 to get 131.
Now, 131 = 5x+1
-1 -1
130 = 5x
/5 /5
Now, we isolate the x to get x=26.
Number 2: There is a supplementary angle as well so we can put 5x+12+6x+3=180.
Now, combine the like terms to get 11x+15=180 so we now isolate x.
-15 -15
11x=165
/11 /11
x=15
Now, try the rest and set the terms to 180.
5x+1+8+4x=180
2x+1+x-10=180
6+x+5x=180
x+2+153=180(This is similar to #1)
CHECK YOU ANSWERS BELOW AFTER YOU HAVE ATTEMPED THE REST OF THE PROBLEMS.
3. x=19
4. x=63
5. x=29
6. x=25
Use the model to solve for x.
Answer:
\(x = 8\)
Step-by-step explanation:
If I'm understanding the model correctly, we begin with this equation:
\(2x+5 = 3x-3\)
We start by adding \(3\) to both sides.
\(2x+8 = 3x\)
Then, we will subtract \(2x\) from both sides to get our answer:
\(8 = x\)
Scores on a common final exam are normally distributed with mean 71 and standard deviation 9. Department policy is that the top 10% of students receive an A. The minimum exam score to be awarded an A is about:
Answer:
The minimum exam score to be awarded an A is about 8.52.
Step-by-step explanation:
Let X represent the scores on a common final exam.
It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.
It is provided that according to the department policy is that the top 10% of students receive an A.
That is, P (X > x) = 0.10.
⇒ P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The corresponding z-score is:
z = 1.28
Compute the value of x as follows:
\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)
Thus, the minimum exam score to be awarded an A is about 8.52.
pls help!!!!!!!!!!!!!!!!
Answer:
f(2) = 75
f(6) = 4091
Step-by-step explanation:
1. Plot two points to form a square in the above graph. Label the points R and S. A square is a quadrilateral with all four sides of the same length. After plotting the points, trace the square by connecting the points.
ANSWER and EXPLANATION
We want to plot two points to form a square.
So, we will have square PQRS with sides PQ, QR, RS and SP.
Because it is a square, we have that all the lines must be the same length.
Because each of the lines are perpendicular to one another, we will have that the slope of one will be the negative inverse of the preceeding line.
We will find one point R such that the line between that point and Q is perpendicular to PQ and another point S such that the line between that point and P is perpendicular to RS.
Negative inverse slope here is going to be applied in such a way that we invert the change in y and change in x between each line while alternating the negative sign.
From observing the line PQ, we see that the change of x and y from P to Q is:
(x + 2, y - 7)
i.e P(-4, 4) => Q(-4 + 2, 4 - 7) = Q(-2, -3)
Therefore, for the next point R, since the slope of QR is the negative inverse of PQ, it will become that the change from x and y from Q to R is:
(x + 7, y + 2)
i.e Q(-2, -3) => R(-2 + 7, -3 + 2) = R(5, -1)
The same principle applies for S, we use the negative inverse:
(x - 2, y + 7)
i.e R(5, -1) => S(5 - 2, -1 + 7) = S(3, 6)
Therefore, the two points are R(5, -1) and S(3, 6)
The graph is given below:
it's a table, can I try to send pic?
Answer:yes
Step-by-step explanation:
The Newberry library loaned 35 CDs last month, 10 of which were Latin albums. Considering this data, how many of the next 91 CDs loaned out should you expect to be Latin CDs?