√10x-4=X+2
I need help on solving and checking this solution please!!
Answers
Answer:
x = 4 and 2
Step-by-step explanation:
hope it's helpful
Related Questions
Use the price-demand equation to determine whether demand is elastic, inelastic, or has unit elasticity at the indicated value of p. x=t(p) = 12,000 - 40p?p=9 Is the demand inelastic, elastic, or unit? Unit Inelastic Elastic
Answers
The price-demand equation is given by the following expression:
`p = (a - b*x)/c`.
Where `p` is the unit price,
`x` is the quantity demanded,
`a` is the maximum price that the consumer is willing to pay,
`b` is the change in price over change in quantity,
and `c` is the quantity demanded at the maximum price `a`.
We are given `x = 12,000 - 40p` and
`p = 9`.
Substituting the given value of `p` in the equation of `x`, we get;`
x = 12,000 - 40(9)`
= `8,280`.
Now, we can substitute these values into the equation `p = (a - b*x)/c` and get the value of `a/c` which is the maximum price divided by quantity demanded at the maximum price.
We are not given the values of `a`, `b`, and `c`.
Therefore, we cannot calculate the value of `a/c` and determine whether the demand is elastic, inelastic, or has unit elasticity.
The price-demand equation is the mathematical representation of the relationship between the price of a good or service and the quantity demanded. It can be used to determine whether the demand for a good or service is elastic, inelastic, or has unit elasticity.
An elastic demand is when a change in price results in a relatively larger change in quantity demanded.
In other words, the demand is sensitive to price changes.
An inelastic demand is when a change in price results in a relatively smaller change in quantity demanded.
In other words, the demand is not very sensitive to price changes.
A unit elastic demand is when a change in price results in an equal percentage change in quantity demanded.
The price-demand equation is given by the following expression: `p = (a - b*x)/c`.
Where `p` is the unit price,
`x` is the quantity demanded,
`a` is the maximum price that the consumer is willing to pay,
`b` is the change in price over change in quantity,
and `c` is the quantity demanded at the maximum price `a`.
To determine whether the demand is elastic, inelastic, or has unit elasticity at the indicated value of `p`, we need to substitute the given value of `p` in the equation of `x`, calculate the value of `a/c`, and compare it with `1`.
If `a/c` is greater than `1`, the demand is elastic.
If `a/c` is less than `1`, the demand is inelastic.
If `a/c` is equal to `1`, the demand has unit elasticity.
However, we are not given the values of `a`, `b`, and `c`.
Thus we cannot determine whether the demand is elastic, inelastic, or has unit elasticity at the indicated value of `p` since we are not given the values of `a`, `b`, and `c`.
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Paul was thinking of a number. Paul adds 10, then divides by 2 to get an answer of -13. What was the original number?
Answers
Answer:
I believe its -36
Step-by-step explanation:
-36+10=-26
-26/2= -13
Answer:
-36
Step-by-step explanation:
(x+10)/2 = -13
-13 times 2= -26
-26-10= -36
check
-36+10= -26
-26/2= -13
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what exactly is standard deviation? and pls gimme an example
Answers
Answer:
The standard deviation is the average amount of variability in your data set. It tells you, on average, how far each score lies from the mean.
The standard deviation measures the spread of the data about the mean value. It is useful in comparing sets of data which may have the same mean but a different range. For example, the mean of the following two is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. However, the second is clearly more spread out.
Step-by-step explanation:
a gym class has $12$ students, $6$ girls and $6$ boys. the teacher has $4$ jerseys in each of $3$ colors to mark $3$ teams for a soccer tournament. if the teacher wants at least one girl and at least one boy on each team, how many ways can he give out the jerseys? (jerseys of the same color are indistinguishable.)
Answers
So, the teacher can give out the jerseys in 840 ways.
The teacher wants to divide the 12 students into 3 teams, each with at least one girl and one boy.
One possible way to count the number of ways to divide the students is to use the stars and bars method.
For the first team, we have 5 stars and 2 bars, so the number of ways to pick 6 students is:
(5+2)!/(5!2!) = 7
For the second team, we have 4 stars and 1 bar, so the number of ways to pick 6 students is:
(4+1)!/(4!1!) = 5
For the third team, we have 3 stars, so the number of ways to pick 6 students is:
(3+0)!/(3!0!) = 4
Then we can multiply the number of ways to pick students for each team together to find the total number of ways to divide the students:
7 * 5 * 4 = 140
Then, as the jerseys are indistinguishable, we just have to multiply the number of ways to divide the students by the number of ways to distribute jerseys:
140 * 3! = 840
Therefore, the teacher can give out the jerseys in 840 ways.
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12y - 4 = 168
What is y? Use inverse operation
Answers
Answer:
y=14.33
Step-by-step explanation:
Add 4 to both sides you should get 12y=172Now, divide both sides by 12 and you should get y=14.33Answer:
the answer is 14.33
Step-by-step explanation:
first you do 12y-4=168
+4=+4
---------
0=172
so now the eqation is 12y=172
then you divide 172/12=14.33
I want to pour a concrete slab in my backyard with an area of 370 ft2 to put a basketball goal. If the length of the slab is 23 feet less than 6 times the width, answer the following questions.
a) What is an applicable x value?
b) What is the width of the concrete slab?
c) What is the length of the concrete slab?
Answers
370=w(6w-23)
6w^2-23w=370
6w^2-23w-370
Works out to
(W-10) pick this one
+10
W=10
or
(6w+37) is not the answer to choose
-37
6w=-37
/6 /6
W=-6.17
A) 10
B) 10
C) 37
variations on translating a point
Answers
A translation happens when a constant is summed to the coordinates of a point. We need to find the values of these constants to determine the rule of translation. When we apply the translation to the point (-9,0), the result is (-12, -4). We can rewrite this as shown below:
\(\begin{gathered} T(-9,0)=(-9+a,0+b)=(-12,-4) \\ -9+a=-12 \\ a=-12+9=-3 \\ 0+b=-4 \\ b=-4 \end{gathered}\)The rule of translation is:
\(T(x,y)=(x-3,y-4)\)We need to find the coordinates for the image of the point (-1, -2). Applying the rule to this point we have:
\(T(-1,-2)\text{ = (-1-3,-2-4)=(-4,-6)}\)The image is (-4,-6).
a 6-ounce bottle of medicine contains 36 doses. how many doses are in a 15-ounce bottle of the same medicine?
Answers
Answer:
Step-by-step explanation:
If a 6-ounce bottle of medicine contains 36 doses, we can use a proportion to find how many doses are in a 15-ounce bottle:
6 ounces / 36 doses = 15 ounces / x doses
Cross-multiplying, we get:
6 x = 36 * 15
6 x = 540
Dividing both sides by 6, we get:
x = 90
Therefore, a 15-ounce bottle of the same medicine contains 90 doses.
what percent of 15 is 15% of 20
Answers
Answer:
20 %
Step-by-step explanation:
15% of 20 is 3, and 3 is 20% of 15
The volume of this rectangular prism is 2 cubic feet. What is the surface area?
Answers
Answer: The answer cannot be determined.
Step-by-step explanation:
Add the areas of all six faces to get the rectangular prism's surface area.
Assume that the length (l), width (w), and height (h) of the rectangular prism are expressed in feet.
We can use the volume formula because the rectangular prism has a volume of 2 cubic feet:
By substituting the given value, we obtain:
2 = l, w, and h We need more information to solve for one of the variables. Be that as it may, we can in any case compute the surface region concerning l, w, and h.
The six essences of the rectangular crystal are:
The rectangular prism's surface area can be calculated as follows: Top and bottom faces with area l x w (two identical faces); Front and back faces with area h x w (two identical faces); Left and right faces with area h x l (two identical faces).
Surface Area = 2(l x w) + 2(h x w) + 2(h x l) When we substitute the volume value from the equation, we get:
Surface Area = 2(l x w) + 2(h x w) + 2(h x l) Surface Area = 2 x 2/l + 2 x 2/w + 2 x 2/h Surface Area = 4/l + 4/w + 4/h We are unable to precisely calculate the surface area because we do not have specific values for the length, width, and height. To determine the surface area, we require additional information regarding the rectangular prism's dimensions.
Looking to receive help on practice question 103, thank you!
Answers
To convert the given polar equation to rectangular form, here are the steps.
1. Remember that sec θ = 1/cos θ. This means, the given polar equation can also be written as:
\(r=\frac{-3}{\cos \theta}\)2. We can multiply cos θ to both sides of the function to remove the cos θ in the right side.
\(\begin{gathered} r(\cos \theta)=\frac{-3}{\cos\theta}(\cos \theta) \\ r\cos \theta=-3 \end{gathered}\)3. Since we know that x = r cos θ, we can say that x = -3. This is the rectangular form of the equation.
\(x=-3\)Letters x, y, and z are angle measures. Which equations would guarantee that lines p and q are parallel? check all that apply.
Answers
Letters x, y, and z are angle measures. The following equations would ensure that lines p and q are parallel: x = z ; x + y = 180°
A Equation is a numerical explanation that is comprised of two articulations associated by an equivalent sign. In its simplest form in algebra, an equation is a statement that demonstrates that two mathematical expressions are equal.
The image with the angles x, y, and z, as well as the lines p and q, can be found in the link at the answer's conclusion.
Using the image provided;
We can see that the two parallel lines p and q are divided by a transverse line. As a result,
We can say that because we can see that x and z are angles that correspond to one another; Second, we can see that y and z are supplementary angles due to the fact that they form a straight line and that the sum of straight angles is 180 degrees.
therefore; We can say that, using the negotiation property of equivalency, y + z = 180° because x = z.
x + y = 180°
Question:
Angle measures are represented by x, y, and z. Which conditions could ensure that lines p and q are equal? Select all relevant options.
x = z, x + y = 180°, x = y, and z = 180°
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350 homes will be built in the development area. Consider that there are 8 individuals in each household and that this region will produce 0.8 kilogram of waste (capita) -1 day-1 . Please justify the accurate calculation for each question.
ai) How much trash will the new development area produce?
ii) The per capita trash generation rate in this new area is expected to be 0.4 kilogram per person each day. How many 118 L containers would be required for each family if the MSW density in a standard waste container is 210 kg/m3 and the municipality only collects waste once per week?
iii) How many trucks are required to collect the waste once a week if the trucks carry an average of two loads each day at 50% capacity? Each of the trucks can carry 5.2 t (metric tons) and is in use five days a week.
iv) The local vendor may offer compactor vehicles of 13.7 m3 capacity that can compact the waste to a density of 618 kg/m3. How many clients can a truck handle before heading to the transfer station?
Answers
The total number of individuals in the development area is 2240 kg/day.
The volume of waste produced by a single family per week is 0.91 containers/family
i) The total number of individuals in the development area is calculated as:
350 x 8 = <<350*8=2800>>2800
individuals' total waste produced by the development area is calculated as:
0.8 kg/capita/day x 2800 individuals = <<0.8*2800=2240>>2240 kg/day
Answer: 2240 kg/day
ii) Volume of waste produced by a single family per week is calculated as:
0.4 kg/person/day x 8 persons x 7 days = <<0.4*8*7=22.4>>22.
4 kg/week
The density of waste in each container is 210 kg/m3.
The volume of waste generated by each family each week is calculated as:22.4 kg/week ÷ 210 kg/m3 = 0.107 m3/family
The number of 118 L containers required for each family is calculated as:
0.107 m3/family ÷ 0.118 m3/container = <<0.107/0.118
=0.91>>0.91 containers/family (rounded to two decimal places)
Answer: 0.91 containers/family
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A student who is at the 40th percentile of first-year gpas is also likely to be at the 40th percentile of second-year gpas. true false
Answers
False. We would anticipate the second-year GPA to be slightly higher than the 40th percentile based on the regression impact.
How does your GPA translate?
Your grade point average (GPA) is calculated by dividing the total number of credits you have earned in high school by the sum of all of your course grades. The majority of colleges and secondary schools use a 4.0 scale to report grades.Given this,
A student who has a first-year GPA in the 40th percentile
is likely to have a second-year GPA in the same range.
The scatter plot is shaped like a football. ————— (False)
If the scatter diagram is shaped like a football, then all of the data points are drawn in a circle. As a result, the data does not fit well.
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someone please help.
Answers
The completed table with regards to terms of an expression are presented as follows;
Condition \({}\) (6·x + 3) + (5·x - 4) (-4·y - 16) - 8·y + 10 + 2·y
Exactly 3 terms N/A \({}\) N/A
Exactly 5 terms N/A \({}\) N/A
Includes a zero pair No \({}\) No
Uses distributive property No No
Includes a negative factor No
Has no like terms False False
Condition \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\) 0.25·(8·m - 12) - 0.5·(-4·m + 2)
Exactly 3 terms No \({}\) No
Exactly 5 terms Yes \({}\) \({}\) No
Includes a zero pair No \({}\) \({}\) Yes
Uses the distributive property Yes \({}\) Yes
Includes a negative factor Yes \({}\) Yes
Has no like terms No \({}\) No
What is a mathematical expression?A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.
The details of the conditions in the question are as follows;
Terms of an expression
A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction
Zero pair
A zero pair are two numbers that when added together have a zero result
Distributive property
The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend
Negative factor
A negative factor is a factor that has a negative sign prefix
Like terms
Like terms are terms consisting of identical variables with the same powers of the variable
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Find the slope of the line through the points (4, 1) and (6, 3)
I need help ASAP
Answers
Answer:
The slope is 1
Step-by-step explanation:
Slope can be found using the expression \(\frac{y2-y1}{x2-x1}\)
In this case,
y2 = 3
y1 = 1
x2 = 6
x1 = 4
\(\frac{3-1}{6-4}\) = 2/2 = 1
Find the midpoint of CD. C= (7,-4) and D= (-8,-5)
Answers
Answer:
( \(-\frac{1}{2}\),\(-\frac{9}{2}\))
Step-by-step explanation:
The equation of a midpoint is as follows:
\((\frac{x_{1} +x_{2}}{2} ,\frac{y_{1} +y_{2}}{2})\)
The x-coordinate:
x1 = 7, x2 = -8
7+(-8) = -1
Divide by 2 to get the x-midpoint
-1/2
The y-coordinate
y1 = -4, y2 = -5
-4 + (-5) = -9
Divide by 2 to get the y-midpoint
-9/2
You get:
( \(-\frac{1}{2}\),\(-\frac{9}{2}\))
Answer:
(-0.5 , -4.5)
Step-by-step explanation:
The formula for midpoint is (x1+x2)/2 , (y1+y2)/2
(7, -4) and (-8, -5) are our cordinate points, so we plug them in into our formula
(7+(-8))/2 = -0.5 (<-- our x-axis)
(-4+-5)/2 = -4.5 (<--- our y-axis)
Hope this helps!
If a = b, then xa = xb represents the property of equality.
a) addition
b) symmetric
c) reflexive
Answers
The property of equality being represented by the equation xa = xb when a = b is called the symmetric property. Correct option is b.
The symmetric property states that if a = b, then b = a. This means that the order of the variables can be reversed without changing the truth of the equation.
In the given equation xa = xb, we have two variables, x and a, and two instances of the variable x, represented as xa and xb. If a = b, we can apply the symmetric property to switch the order of the variables, resulting in xb = xa. This demonstrates that the equation remains true regardless of the order in which the variables are presented.
Therefore, the correct answer is b) symmetric, as the equation xa = xb represents the symmetric property of equality.
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3. Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The
equation 0.05n + 0.1d = 3.65 is one way to represent this situation.
Which equation is equivalent to the equation 0.05n + 0.1d = 3.657
A. 5n + d = 365
B. 0.5n + d = 365
C. 5n + 10d = 365
D. 0.05d + 0.1n = 365
Answers
Answer:
C
Step-by-step explanation:
Here, we want to find an equation in the options which is same as the equation given in the question;
The equation we are testing against is;
0.05n + 0.1d = 3.65
What we can do here is divide through by 0.01
So we will have;
0.05n/0.01 + 0.1d/0.01 = 3.65/0.01
= 5n + 10d = 365
In the figure, the measure of angle 6 6 is 141° 141 ° . What is the measure of angle 5 5 ?
Answers
Answer:
131° 131°=5 5 is the measure for 5 5
Answer: 181
Step-by-step explanation: i got it right on imagine math and the person above me is correct
ur pretty and perfect! Have a great day!
Which one is bigger three years or 30 months??
Answers
6) From a point on the ground 15 ft. From the base of a flagpole, the angle of elevation of the top of the pole measures 57°. How tall is the flagpole?
Answers
Answer:23.1 ft
Step-by-step explanation:
Given
Point is 15 ft away from the base of the flagpole
The angle of elevation is \(57^{\circ}\)
from the figure, we can write
\(\Rightarrow \tan 57^{\circ}=\frac{Y}{15}\\\\\Rightarrow Y=15\times \tan 57^{\circ}=23.09\approx 23.1\ ft\)
The length of the flagpole is 23.1 ft
Airline ticket : $ 250 salestax:7.5%
Answers
Step-by-step explanation:
Total money spent is Airline ticket + the sales tax
Airline ticket = 250
The sales tax = 250 * 7.5 / 100
=> 5 * 7.5 / 2
=> 37.5 / 2
=> 18.75
So, total = 250 + 18.75
=> 268.75
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Distance Conversions The United States, Liberia, and Myanmar are the only three countries that have not adopted the metric system as its primary system of measurement. There have been reports and legislation calling for a conversion to the metric system since the 1960s. The U.S. Department of Commerce's National Institute of Standards and Technology wrote that "industrial and commercial productivity, mathematics and science education, and the competitiveness of American products and services in world markets, will be enhanced by completing the change to the metric system of units" (1997, 2). From a student's perspective, it would be better if the U.S. converted to the metric system. Because scientists globally use the metric system, most of U.S. scientists do, as well. Until the U.S. "metrifies", students in the United States will need to continue to use and understand both measurement systems. 6. Refer to Appendix 2.1. Show your calculations for the following questions. 33 | Lab 2: Map Interpretation a. 2 miles contain how many feet? b. 1 mile contains how many inches? c. 10 kilometers contain how many meters? d. 1 kilometer contains how many centimeters? e. How many miles are in a "5k" (five-kilometer) race? f. A marathon is 26.2 miles. How many kilometers is this?
Answers
Answer:
a. 10560
b. 63360 in.
c. 10000 m
d. 100000 cm
e. 3.107 miles
f. 42.165 km
Step-by-step explanation:
a. 2 miles contain how many feet?
1 mile = 5280 ft
2 miles × 5280 ft / mile = 10560 ft
b. 1 mile contains how many inches?
1 ft = 12 in
1 mile × 5280 ft/mile × 12 in./ft = 63360 in.
c. 10 kilometers contain how many meters?
1 km = 1000 m
10 km × 1000 m/km = 10000 m
d. 1 kilometer contains how many centimeters?
1 km × 1000 m/km × 100 cm/m = 100000 cm
e. How many miles are in a "5k" (five-kilometer) race?
1 in. = 2.54 cm
5 km =
= 5 km × 1000 m/km × 100 cm/m × 1 in. / (2.54 cm) × 1 ft / (12 in.) × 1 mile / (5280 ft)
= 3.107 miles
f. A marathon is 26.2 miles. How many kilometers is this?
26.2 miles =
26.2 miles × 5280 ft / mile × 0.3048 m/ft × km / (1000 m) = 42.165 km
Using the .01 level of significance means that, in the long run, 1) a Type I error occurs 1 time in 100. O2) a Type I error occurs 1 time in 20. 3) a Type II error occurs 1 time in 20. 4) a Type II error occurs 1 time in 100.
Answers
Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).
A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.
By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).
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The table shows information about the masses of some dogs.
Work out the minimum number of dogs that could have a mass of
more than 27 kg.
Work out the maximum number of dogs that could have a mass of
more than 27 kg.
Answers
a) The minimum number of dogs that could have a mass of more than 27 kg is 4.
b) The maximum number of dogs that could have a mass of more than 27 kg is 17.
What is interval?
In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number one may imagine is a real number.
The given table shows information about the masses of some dogs.
a) As, the minimum number of dogs is needed to be found, then -
Assume all dogs present in the interval 20 to 40 have a mass of more than 27 kg so the minimum value out of 13 and 4 is 4.
b) As, the maximum number of dogs is needed to be found, then -
Assume all dogs present in the interval 20 to 40 have a mass of more than 27 kg so the maximum of the values present in the interval 20 to 40 is 13 + 4 = 17.
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Nick walked 5 miles to reach his aunt's house. from there he traveled 8 miles to the shopping mall on a bicycle. he traveled 80% faster on the bicycle than on foot. let r represent his rate of walking in miles per hour. identify the expression that represents the number of hours nick took to reach the shopping mall in terms of r. then find the time taken by nick to reach the shopping mall if he walked at an average speed of 3 miles per hour.
Answers
The expression of time in terms of r is T = 85/9r. If he walked at an average speed of 3 miles per hour. Then the time taken by nick to reach the shopping mall will be 3 hours and 60 minutes.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Nick walked 5 miles to reach his aunt's house.
From there he traveled 8 miles to the shopping mall on a bicycle.
He traveled 80% faster on the bicycle than on foot.
Let r represent his rate of walking in miles per hour. Then the 1.8r will be the rate of cycling in miles per hour.
Then the number of hours nick took to reach the shopping mall in terms of r will be
T = t₁ + t₂
Where t₁ is the time taken to reach his aunt's house and t₂ is the time taken to reach the shopping mall from his aunt's house. Then we have
T = 5 / r + 8 / 1.8r
T = 1/r (5 + 8/1.8)
T = 85/9r
If r is 3 miles per hour, then the time taken by nick to reach the shopping mall will be
T = 85 / (9 x 3)
T = 3.15 hours
T = 3 hours and 9 minutes
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Select all that apply.
Which of the following name a line segment in the drawing?
Answers
I think it would be ef because they are across from each other.
Answer:
lineAF, CE, EF
Step-by-step explanation:
Every line except AB, because a line don't curve.
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Consider quadrilateral DEFG on the coordinate plane below. F(-5, 3) G(-2,3) E(-6, 1) D(-3,1) . After a rotation of DEFG 90° counterclockwise about the origin, which vertex will be at point (-3,-2)? E A F B D G
Answers
Given:
The coordinates of the vertex of the quadrilateral:
F(-5, 3) , G(-2, 3) , E(-6, 1) and D(-3, 1)
The rule for rotation 90 degrees counterclockwise about the origin is:
\((x,\text{ y) }\rightarrow\text{ (-y, x)}\)Applying this rule to the coordinates of the vertices:
\(\begin{gathered} F(-5,\text{ 3) }\rightarrow\text{ F'(-3, -5)} \\ G(-2,\text{ 3) }\rightarrow\text{ G'(-3, -2)} \\ E(-6,\text{ 1) }\rightarrow\text{ E'(-1, -6)} \\ D(-3,\text{ 1) }\rightarrow\text{ D'(-1, -3)} \end{gathered}\)Hence, the vertex at the point (-3, -2) is the point G
How do you know that 30 is __1
10 of 300?
Show your work.
Answers
Answer:
See explanation
Step-by-step explanation:
So what you would need to do is take 300/10
300/10 which is 1/10 of 300, would be 30
You can also check your work by doing 30 x 10
This equals 300, so its correct.