Answer:
Graph A.
Step-by-step explanation:
We don't even have to analyze the inequalities. It tells us that y is supposed to be bigger than something and that y is supposed to be bigger than something else. That means that for both lines, the shaded region must be upwards. The only graph that conforms to that is graph A.
Jamal would like to purchase a pair of shoes for $80.00. At the store he can spin the spinner below to receive a discount
John paid $75 for a pair of shoe that cost $100 at a discount of 25 percent.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let us assume that the shoe cost $100, he spins the spinner and gets a discount of 25%, hence:
Money paid = 100 - 25% of 100
Money paid = 100 - 25 = $75
John paid $75 for a pair of shoe that cost $100 at a discount of 25 percent.
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Would you rather have to use chopsticks every day for the rest of your life or use a fork?
12x=13−x^2 ) Rewrite the equation by completing the square.
The equivalent equation using the completing the square is (x+6)^2 = 48
Completing the square methodGiven the quadratic equation
12x=13−x^2
Equate to zero to have;
−x^2 - 12x + 13 = 0
Multiply through by -1 to have:
x^2+12x - 13 = 0
Add 13 to both sides to have:
x^2+12x = 13
Complete the square
x^2+12x + (12/2)^2 = 12 + (12/2)^2
x^2 + 12x + 6^2 = 12 + 36
(x+6)^2 = 48
Hence the equivalent equation using the completing the square is (x+6)^2 = 48
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Question 2 of 10
Which situation shows a constant rate of change?
A. The amount raised by a booster club compared with the number
of raffle tickets sold
B. The weight of a kitten compared with its age in months
C. The number of goals scored in a soccer game compared with the
minutes played
D. The height of a paper airplane over time
The amount raised by a booster club compared with the number of raffle tickets sold shows a constant rate of change;
A constant rate of change is realized when a change in one situation always results in a change in another. In the scenario of a booster club that regularly sells raffle tickets, the more tickets it sells, the higher the club gets.
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The transformation of a normally-distributed random variable X to a Z-score is similar: We first shift X to have mean 0 Then we stretch and squish it so that the standard deviation is 1 To accomplish this transformation, we _____________
The transformation of a normally-distributed random variable X to a Z-score is similar: We first shift X to have mean 0. Then we stretch and squish it so that the standard deviation is 1. To accomplish this transformation, we standardize it by subtracting the mean and dividing by the standard deviation.
Standardization is a mathematical procedure that converts a given data set to a standard distribution with a known mean and standard deviation. The concept of standardization can be applied to a wide range of statistical scenarios. The Z-score or standard score is a statistical measurement that represents the number of standard deviations from the mean of a data point.Standardization is a useful approach for creating meaningful scores based on various measurements. For example, different classroom grades may be standardized so that they have a mean of 100 and a standard deviation of 10. This allows you to compare the relative performance of students on various tests that have different ranges.
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5 / 949 If they decide to drive 949 mi to Denver instead, how many miles will they drive each day?
A nurse has an annual income of $70,250. The nurse
will have to pay 13% income tax. What is the amount of
income tax in dollars and cents that the nurse has to
pay?
Answer:
$9132.5
Step-by-step explanation:
0.13 = 13%
0.13 times 70,250
$ 9132.5
Does the budgeted amount cover the actual amount for expenses, savings, and emergencies?
A)
No, it's short $207.00,
No, it's short $227,00,
o
Yes, there's a surplus of $207.000
D)
Yes, there's a surplus of $227.00,
Answer:
No its short 207
Step-by-step explanation:
Took the test on UsaTestPrep got it right :)
Bye loves <3
Answer:
the one b4 is wrong its a surplus of 207 .-.
Step-by-step explanation:
this is correct usatestprep also lol
A. Prepare the journal entry to close the balance in the Factory overhead account to cost of goods sold.
The question is incomplete. The complete question is :
A company's Factory Overhead T-account shows total debits of $630, 000 and total credits of $716,000 at the end of the year. Determine whether there is over- or underapplied overhead using the T-account below. Prepare the journal entry to close the balance in the Factory Overhead account to Cost of Goods Sold.
Solution :
The credit of the factory overhead means Applied overhead and the debit of the factory overhead is the actual overhead incurred.
Here, applied overhead is more than the actual overhead incurred so it is the factory overheads the over appalled.
The Factory overheads
Amount($) Amount($)
Actual overhead 630,000 Applied overhead 716,000
Over applied 86,000
Journal entry to close balance in factory overhead
Account title and explanation Debit($) Credit($)
Factor overheads 86,000
Cost of goods sold 86,000
Please Help! 60 points for a rapid reply- please look at the question below= The Figure of circle A shown has a diameter of PR which intersects with QS at point B and the measurements shown, Calculate the following measures-
The measures in the circle given in the image above are calculated as:
1. m<PSQ = 130°; 2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.
How to Find the Measures in the Circle?In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.
1. m<PSQ = m<PAQ
Substitute:
m<PSQ = 130°
2. Find m<PBQ:
m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]
Substitute:
m<PBQ = 1/2(130 + 2(35))
m<PBQ = 100°
m<AQS = 180 - [m<BAQ + m<PBQ]
Substitute:
m<AQS = 180 - [(180 - 130) + 100]
m<AQS = 30°
3. m(QR) = m<QAR
Substitute:
m(QR) = 100°
4. m(PS) = 180 - m(RS)
Substitute:
m(PS) = 180 - 2(35)
m(PS) = 110°
5. m(RS) = 2(35)
m(RS) = 70°
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Do
this mathematics operations using the rules of precision
(9.11)+(6.232)
(7.4023)x(19)
(9.162)-(2.39)
(0.00482)x(213)
(8.73)/(5.198)
(7644)/(0.13)
Answer:
Step-by-step explanation:
Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:
(9.11) + (6.232)
The sum of 9.11 and 6.232 is 15.342.
(7.4023) x (19)
The product of 7.4023 and 19 is 140.844.
(9.162) - (2.39)
The difference between 9.162 and 2.39 is 6.772.
(0.00482) x (213)
The product of 0.00482 and 213 is 1.02786.
(8.73) / (5.198)
The division of 8.73 by 5.198 is 1.67920734.
(7644) / (0.13)
The division of 7644 by 0.13 is 58,800.
Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.
determine the unit normal vector to the curve with vector equation \vec r \, (t) =<1^t,\ln(4/t^2), \, \ln(e/(t^4)) > r (t)=<1 t ,ln(4/t 2 ),ln(e/(t 4 ))> at the point where t=2t=2.
the unit normal vector to the curve with vector equation \vec r \, (t) =<1^t,\ln(4/t^2), \, \ln(e/(t^4)) > r (t)=<1 t ,ln(4/t 2 ),ln(e/(t 4 ))> at the point where t=2t=2 is \vec n = <0,0,-1>
A unit normal vector is a normal vector with magnitude 1, and it points in the direction that is perpendicular to the tangent to the curve at a given point.
To determine the unit normal vector to a curve, it's important to find the tangent first and then find the normal. In this case, we're looking for the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2.
To find the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2, it is necessary to find the tangent to the curve and then find the normal. This is a crucial step in understanding the geometry of curves in 3D space.
To find the tangent to the curve, we'll differentiate the vector equation with respect to t and evaluate it at t = 2. The derivative of \vec r (t) is given by:
d\vec r/dt = <1, -2t^-3, -4e^-t^-4>
So the tangent to the curve at t = 2 is:
d\vec r/dt = <1, -2(2)^-3, -4e^-2^-4> = <1, 1.5, -1.648721>
Next, we'll find the normal to the tangent by taking the cross product of the tangent with a fixed vector, for example, the unit vector i = <1,0,0>. The cross product of two vectors results in a vector that is perpendicular to both of them.
The cross product of the tangent and the unit vector i is given by:
\vec T x \vec i = <1, 1.5, -1.648721> x <1,0,0> = <0,0,-1.5>
Since the magnitude of the normal is not 1, we'll normalize it by dividing it by its magnitude:
\vec n = \vec T x \vec i / ||\vec T x \vec i|| = <0,0,-1.5> / ||<0,0,-1.5>|| = <0,0,-1>
So the unit normal vector to the curve with the vector equation \vec r (t) =<1^t,\ln(4/t^2), \ln(e/(t^4)) > at the point where t = 2 is given by:
\vec n = <0,0,-1>
This is the unit normal vector that points in the direction that is perpendicular to the tangent to the curve at t = 2. The magnitude of 1 ensures that it's a unit vector and the direction points towards the normal direction.
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Farmer Phil needs to treat a field with potash and nitrogen. He knows he needs 308 pounds of potash and 330 pounds of nitrogen. He can use Grow Rite brand and Great Green Brand. Grow Rite has 4 pounds of potash and 5 pounds of nitrogen per bag. Great Green has 7 pounds of potash and 6 pounds of nitrogen per bag.
Answer:
The number of bags of Grow Rite brand = x = 42 bags
The number of bags of Great Green brand = y = 20 bags.
Step-by-step explanation:
The number of bags of Grow Rite brand = x
The number of bags of Great Green brand = y
The equation is given as:
4x + 7y = 308....... Equation 1
5x + 6y = 330....... Equation 2
Using Elimination method.
Multiply Equation 2 by the coefficient of x in Equation 1 and Multiply Equation 1 by the coefficient of x in Equation 2
4x + 7y = 308....... Equation 1 × 5
5x + 6y = 330....... Equation 2 × 4
20x + 35y = 1540..... Equation 3
20x + 24y = 1320....... Equation 4
Subtract Equation 3 from Equation 4
11y = 220
y = 220/11
y = 20 bags
4x + 7y = 308....... Equation 1
4x + 7(20) = 308
4x + 140 = 308
4x = 308 - 140
4x = 168
x = 168/4
x = 42 bags
The number of bags of Grow Rite brand = x = 42 bags
The number of bags of Great Green brand = y = 20 bags.
The purchased cost of a 5-m3 stainless steel tank in 1995 was $10,900. The 2-m-diameter tank is cylindrical with a flat top and bottom. If the entire outer surface of the tank is to be covered with 0.05-m-thickness of magnesia block, estimate the current total cost for the installed and insulated tank. The 1995 cost for the 0.05-m-thick magnesia block was $40 per square meter while the labor for installing the insulation was $95 per square meter.
The estimated current total cost for the installed and insulated tank is $12,065.73.
The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:
surface_area = 2 * pi * r * h + 2 * pi * r^2
where:
r is the radius of the cylinder
h is the height of the cylinder
In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:
surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586
The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:
surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293
The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:
cost = 6.806032934459293 * (40 + 95) = $1,165.73
The original cost of the tank was $10,900, so the total cost of the insulated tank is:
cost = 10900 + 1165.73 = $12,065.73
Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.
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Davi has 75 flower seeds. He wants to plant the seeds in pots so that every seed is planted, and every pot has the same number of seeds.
Answer:
I think 15 or 25
Step-by-step explanation:
If you divide 75 by 5 then you get 15. So if you plant 5 seeds per pot then you will need 15 pots to plant all of the seeds.
Also,
If you divided 75 by 3 it =25
What is 80km to miles?
80km is equal to 49,7097 miles. The International System of Units uses the kilometre, or kilometre in American English, as the unit of measurement for length. It is equivalent to 1000 meters.
According to the International System of Units (SI), one kilometre is equal to 1,000 meters. With noteworthy exceptions in the United States and the United Kingdom, where the statute mile is the primary unit employed, In the vast majority of the world, it is today the unit of measurement used to describe distances between geographical locations on land. Although they are frequently used, the BIPM does not advise using the letters k or K to denote a kilometre. In the US, UK, and Canadian militaries, klick is slang for the kilometre. The first pronunciation adheres to the English convention that stresses the first syllable of metric units.
According to the question
80km = 49,7097 miles.
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I am in fourth grade and I have no idea how to find whole numbers between a fraction can you show me?
Answer:
To find a a fraction of a whole number, you multiply the numerator of the fraction by the given number and then divide the product by the denominator of the fraction
Solved example for finding a fraction of a whole number:
1)
Find 1/3 of 21.
To find 1/3 of 21, we multiply the numerator 1 by the given whole number 21 and then divide the product 21 by the denominator 3.
1/3 × 21 = 1 × 21/3 = 21/3 = 7
So, 1/3 of 21 = 7.
1/3 of 21 is 7
Answer:
For finding a fraction of a whole number, we multiply the numerator of the fraction by the given number and then divide the product by the denominator of the fraction.
Examples for finding a fraction of a whole number:
Find 1/3 of 21.
To find 1/3 of 21, we multiply the numerator 1 by the given whole number 21 and then divide the product 21 by the denominator 3.
1/3 × 21 = 1 × 21/3 = 21/3 = 7
So, 1/3 of 21 = 7.
Here are some more examples
Step-by-step explanation:
Find 2/5 of 15.
To find 2/5 of 15, we multiply the numerator 2 by the given whole number 15 and then divide the product 30 by the denominator 5.
2/5 × 15 = 2 × 15/5 = 30/5 = 6
So, 2/5 of 15 = 6.
Find 3/8 of 48.
To find 3/8 of 48, we multiply the numerator 3 by the given whole number 48 and then divide the product 144 by the denominator 8.
3/8 × 48 = 3 × 48/8 = 144/8 = 18
So, 3/8 of 48 = 18.
need help for finals
Answer:
X=48
Step-by-step explanation:
22+26=48
180-38=132
180-132=48
Solve for x, (2x+6) + (2x-6)
Answer:
4x
Step-by-step explanation:
2x+6+2x−6
=2x+6+2x+−6
Combine Like Terms:
=2x+6+2x+−6
=(2x+2x)+(6+−6)
=4x
Calculate the cross product assuming that u×v=⟨7,6,0⟩.(u−7v)×(u+7v)
The cross product assuming that u×v=⟨7,6,0⟩.(u−7v)×(u+7v) is ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩.
The cross product of two vectors using the distributive property:
(u - 7v) × (u + 7v) = u × u + u × 7v - 7v × u - 7v × 7v
Also, cross product is anti-commutative. Specifically, the cross product of v × w is equal to the negative of the cross product of w × v. So, we can simplify the expression as follows:
(u - 7v) × (u + 7v) = u × 7v - 7v × u - 7(u × 7v)
Now, using u × v = ⟨7, 6, 0⟩ to evaluate the cross products:
u × 7v = 7(u × v) = 7⟨7, 6, 0⟩ = ⟨49, 42, 0⟩
7v × u = -u × 7v = -⟨7, 6, 0⟩ = ⟨-7, -6, 0⟩
Substituting these values into the expression:
(u - 7v) × (u + 7v) = ⟨0, 7u_2 - 6u_3, 7u_3 - 6u_2⟩ - 7⟨7, 6, 0⟩ - 7⟨-7, -6, 0⟩
= ⟨0, 7u_2 - 6u_3, 7u_3 - 6u_2⟩ - ⟨49, 42, 0⟩ + ⟨49, 42, 0⟩
= ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩
Therefore, (u - 7v) × (u + 7v) = ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩.
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If the questions are correct I will give brainliest!
Answer:
Step-by-step explanation:
13. 2/3
14. 0
15. 5/2
Marissa walks the neighbor’s dogs every afternoon after school. She charges a flat fee of $15.00 per week plus $4.00 per hour. If she walks the dogs for a total of 5 hours in one week, what is the total amount that she earns for that week?
Answer:
$35
Step-by-step explanation:
15 dollar per week plus 5 x 4 is 15+20 dollars or 35 dollars.
4x -6y = 13
-5x + 2y = 5
A:-9x - 4y = 8
B: 9x - 8y = 8
Answer: 9x - 8y - 8 [Choice B], assuming the question below,
Step-by-step explanation: Assuming the question is asking what is the result of subtracting the second equation from the first:
4x -6y = 13
- (-5x + 2y = 5) = 5x - 2y = -5
4x -6y = 13
5x - 2y = -5
9x - 8y - 8 [Choice B]
Find the standard deviation if the mean of a sample is 72, a z-score of 3 Raw Score: 42 Raw Score: 81
Answer:
a) when x = Raw Score: 42
Standard deviation = σ = -10.3
b) Raw Score: 81
Standard deviation = σ = 2.67
Step-by-step explanation:
Find the standard deviation if the mean of a sample is 72, a z-score of 3
Z score formula is given :
z = (x-μ)/σ,
where
x is the raw score
μ is the population mean = 73
σ is the population standard deviation
z = 3
a) when x = Raw Score: 42
z = (x-μ)/σ
3 = 42 - 73/σ
Cross Multiply
3σ = 42 - 73
3σ = -31
σ = -31/3
σ = -10.3
b) Raw Score: 81
z = (x-μ)/σ
3 = 81 - 73/σ
Cross Multiply
3σ = 81 - 73
3σ = 8
σ = 8/3
σ = 2.67
if you decide to use a 0.10 in place of a 0.05, with no other changes in the test, will the power increase or decrease? justify your answer.
If a 0.10 significance level is used in place of a 0.05 significance level, the power of the test will generally increase. As we are increasing the probability of rejecting the null hypothesis.
The significance level (alpha) of a hypothesis test determines the probability of making a Type I error, which is the probability of rejecting the null hypothesis when it is actually true. The power of a test, on the other hand, is the probability of correctly rejecting the null hypothesis when it is actually false (i.e., the probability of detecting a true effect).
By using a higher significance level (0.10 instead of 0.05), we are increasing the probability of rejecting the null hypothesis, which means we are more likely to detect a true effect. This results in an increase in the power of the test. However, it's worth noting that using a higher significance level also increases the risk of making a Type I error, which means we have to be careful when interpreting the results of the test.
In summary, increasing the significance level generally increases the power of the test, but it also increases the risk of making a Type I error
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Which of the three side lengths can NOT form a triangle: 2 ft, 3 ft, 8 ft 4 ft, 4 ft, 1, ft 2.5 in, 2.5 in, 2.5 in 4 m, 3 m, 6 m
The side lengths that cannot form a triangle are: 2 ft, 3 ft, 8 ft.
Don’t mind where it says number 17 but plz help!!!SHOW YOUR WORK ON PAPER PLZ!
Answer:
sum of angles = 40 + (8x + 4) + (3x + 4) = 180
Collecting all similar terms, the equation above becomes
11x + 8 = 140 ---> x = 12
Therefore. angle S = 3x + 4 = 3(12) + 4 = 40
shannon breaks a straight stick into two pieces at a randomly chosen point. if the probability that the longer piece is more than twice as long as the shorter piece is , what is the value of ?
The value of P (longer part is more than twice shorter one) is 0.5.
The length of the stick is broken by Shannon into two parts at a random point.
It is required to find the probability that the longer of the two parts is more than twice the shorter one.
Let us assume the length of the stick to be x.
Now, let us assume that the stick is broken at a distance of k from the left-hand side of the stick.
Therefore, the length of the longer part will be x - k and the length of the shorter part will be k.
Thus, we need to find the value of k such that x - k is greater than twice k.
This can be written in the form of an inequality as follows: x - k > 2k
Rearranging this equation, we get:
x > 3k
The probability of this happening can be found by using the ratio of the length of the stick to the length of the part that is less than twice the other part.
Let us consider the stick to be of unit length.
Hence, the probability that the shorter part is less than half of the length of the stick is given by the length of the segment represented by k, which is equal to 0.5.
This is because, for the shorter part to be less than half of the length of the stick, the breaking point should be less than 0.5 units from the left end of the stick.
Now, we can write the probability that the longer part is more than twice the shorter one as follows:
P(longer part is more than twice shorter one) = P(x > 3k)
= P(k < x/3)
This probability is equal to the ratio of the length of the segment represented by k, which is 0.5, to the length of the stick, which is 1.
Therefore, P(longer part is more than twice shorter one) = 0.5 / 1
= 1/2
= 0.5.
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if f(x)=0 what is x
The value of x when f(x) = 0 in the graphed function is: C. -2, 1, or 3 only.
What is a Function?A function relates an input value (x-value) to a corresponding output value (y-value).
In the graphed function, f(x) = 0 means the value of y is 0, at this point, the values of x on the x-axis that corresponds to this y-value are -2, 1, or 3.
Therefore, if f(x) - 0, x would be: C. -2, 1, or 3 only.
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Find the indicated missing angle measure. Solve for the value of 0. Round to the nearest whole degree.
Answer:
67 degrees
Step-by-step explanation:
Calculator!