y=3/4x-1/2 in a graph
Answer:
Look at the graph below, hope this helped :)
Step-by-step explanation:
Josie’s best friend is getting married and she wants to buy her something from her online wedding registry. She wants to buy some sets of dishes (d) that cost $35 each. Because she’s buying online, she must pay a shipping fee of $10. Josie wants to spend $150 or less. How many sets of dishes can Josie buy?
Answer:
Josie can by 4 dish sets.
Step-by-step explanation:
Josie’s best friend is getting married and she wants to buy her something from her online wedding registry. She wants to buy some sets of dishes (d) that cost $35 each. Because she’s buying online, she must pay a shipping fee of $10. Josie wants to spend $150 or less. How many sets of dishes can Josie buy?
can be represented by equation:
35d + 10 = 150
subtract 10 from both sides:
35d + 10 - 10 = 150 - 10
35d = 140
divide both sides by 35:
35d/35 = 140/35
d = 4
Josie can by 4 dish sets.
check:
35(4) + 10 = 150
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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Can anyone help me with this question?:)
Answer:
ΔABC ≅ ΔEDF
Step-by-step explanation:
Triangle ABC is congruent to triangle EDF because they're the same size.
\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)
\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)
\( \sf\triangle ABC \cong \triangle DEF\)
For checking congruency, we need to follow a proper order when choosing the triangle. because each triangle name is unique in itself.
So, According to Triangle ABC, we need to find the triangle with first two letters That resembles AB, that is :
AB = DEand next should be :
BC = EF\( \qquad \large \sf {Conclusion} : \)
so, now we got the sense for naming, therefore the answer will be :
\( \sf\triangle ABC \cong \triangle DEF\)
I REALLY Need help ASAP
Answer:
A
Step-by-step explanation:
In order to multiply a whole number by a fraction, you can write the whole number in fraction form. -12 can also be written as \(\frac{-12}{1}\).
Now you can write out \(\frac{-12}{1}\) × \(\frac{20}{21}\)
Multiply the numerators by each other and the denominators by each other to create one fraction.
-12 × 20 = -240 and 1 × 21 = 21
\(\frac{-12}{1}\) × \(\frac{20}{12}\) = \(\frac{-240}{21}\) and now you can simplify the fraction by finding the greatest common factor of the denominator and numerator. -240 and 21 have the greatest common factor of 3. Divide each side by 3 and get the fraction -80/7
If 6 more than the product of a number and - 2 is greater than 10, which of the following could be that number?
Answer:
-2x + 6 > 10
Step-by-step explanation:
Let the unknown number be x
the product of x and -2 is -2x
6 more than -2x is written as
-2x + 6
if the result of the above is greater than 10, then
-2x + 6 > 10
The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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HELP QUICK!!! I Really need the answer l'll give you ten points.
A train travels 600 kilometers in 1 hour. What is the train's velocity in meters/second?
lunch Then more students joined Jaden's
Answer:
166 2/3 meters/sec.
Step-by-step explanation:
1/1 =1 12 inches/1 foot =1 you are looking for equivalents that will cancel out the unit until you can get to meters and seconds. See work in the picture.
The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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Find the missing sides
Answer: x =1/2
y = \(\sqrt{3}\)/2
Step-by-step explanation:
What is the Perimeter?
Answer:
8000 Km can I please get brainliest?
Step-by-step explanation:
dont understand it at alll
The word sentence should be written as an inequality as follows;
all numbers that are at most 5 ⇒ x ≤ 5.all numbers that exceed 5 ⇒ x > 5.all numbers that are at least 5 ⇒ x ≥ 5.all numbers that are not greater than or equal to 5 ⇒ x < 5.What is an inequality?In Mathematics and Geometry, an inequality is a relation that compares two (2) or more numerical data, number, and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Generally speaking, "at most" simply means less than or equal to (≤), "at least" simply means greater than or equal to (≥), "exceed" simply refers to greater than (>).
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solve 3cosx = 2+cosx
x= 0.
Step-by-step explanation:1. Write the expression.\(3cosx = 2+cosx\)
2. Divide both sides by 3.\(\frac{3cosx}{3} = \frac{2+cosx}{3} \\\\\frac{3cosx}{3} = \frac{2}{3} +\frac{cosx}{3} \\ \\cosx=\frac{2}{3} +\frac{cosx}{3}\)
3. Subtract \(\frac{cosx}{3}\) from both sides.\(\frac{3cosx}{3} = \frac{2+cosx}{3} \\\\\frac{3cosx}{3} = \frac{2}{3} +\frac{cosx}{3} \\ \\cosx-\frac{cosx}{3}=\frac{2}{3} +\frac{cosx}{3}-\frac{cosx}{3}\\ \\\\cosx-\frac{cosx}{3}=\frac{2}{3}\)
4. Simplify the fraction subtraction.\(\frac{3cosx}{3} -\frac{cosx}{3}=\frac{2}{3}\\ \\\frac{3cosx-cosx}{3}=\frac{2}{3}\)
5. Multiply both sides by 3.\(3*\frac{3cosx-cosx}{3}=\frac{2}{3}*3\\ \\3cosx-cosx=\frac{6}{3}\\ \\3cosx-cosx=2\)
6. Solve the subtraction.\(2cosx=2\)
7. Divide both sides by 2.\(\frac{2cosx}{2} =\frac{2}{2} \\ \\cosx=1\)
8. Take \(cos^{-1}\) from both sides.\(cos^{-1}(cosx) =cos^{-1}(1)\\ \\x=cos^{-1}(1)\\ \\x=0.\)
Factor: 14ax + 35ay - 28az please I need help afap❗❗❗❗❗
Step-by-step explanation:
7a (2x + 5y - 4z)
it can't be broken down any lower.
4
A TV that usually sells for $167.77 is on sale for 15% off. If sales tax on the TV is 6%, what is the price of the TV, including tax?
OA. $201.49
OB. $152.59
OC. $151.16
OD.
$149.73
The price including tax is $151.16
What is tax?
A tax is a mandatory financial charge or other type of levy imposed by a governmental organization on a taxpayer (an individual or legal entity) in order to fund government spending and various public expenditures (regional, local, or national), and tax compliance refers to policy actions and individual behavior aimed at ensuring that taxpayers pay the correct amount of tax at the correct time and receive the correct tax allowances and tax reliefs. The earliest known taxes occurred in Ancient Egypt between 3000 and 2800 BC. Failure to pay on time (non-compliance), as well as avoidance or resistance to taxation, is illegal and punished by law. Taxes can be paid in cash or in labor equivalents and can be direct or indirect.
Selling price of TV = $167.77x0.85 (15% discount)
= $142.6025
Price of TV (including tax) = $142.6025x1.06 (6% tax)
= $151.16
Hence, the price including tax is option (c) $151.16
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Amy babysat for 3 hours and earned $21.00. If she earns the same amount per hour, how
much will she earn in 10 hours?
Answer:
$21.00 / 3 hours = $7.00/hour
($7.00/hour)(10 hours) = $70.00
Answer:
if she probably earns $21.00 per hour.It may be 21.00×10 which is $210.thats my own answer
In the given figure, XYis a tangent to the circle with centre
Oat A. If LCAX= LBAY= 600, then OD equals
The measure of the segment OD is same as OE. Hence , OD = DE.
Tangent to A Circle :A straight line that only touches a circle once is said to be tangent to it. The term "point of tangency" refers to this point. At the point of tangency, the tangent to a circle is perpendicular to the radius.
Given: XY is the tangent to the circle with centre O at A and
∠CAX=∠BAY=60°
By Alternate Segment Theorem
∠BCA=∠BAY=60°
Similarly,
∠ABC=∠CAX=60°
Therefore, ΔABC is an equilateral triangle circumscribing the circle with centre O.
Thus, centre O is also the centroid.
⇒OA:OD=2:1
Also,
OA=OE (Radii)
∴ OD=DE
Hence , OD = DE
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A rectangular plot of land is 100 feet long and 50 feet wide. How long is the walkway along the diagonal? Round to the nearest foot.
A.
75 feet
B.
87 feet
C.
112 feet
D.
150 feet
Answer:
C
Step-by-step explanation:
Pythagorean theorem
A^2 + B^2 = C^2
IM A LIL LOST CAN SOMEBODY SOLVE THE EQUATION
Step-by-step explanation:
It's just asking you to rewrite it in vertex form. Which would be
\((x + 10) ^{2} - 4\)
Can someone help me with this please?
Answer:
The triangles are similar.
Explanation:
Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.
you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
Washington, DC is 389 miles from Statesville, NC. If you wanted to drive there,
how long would it take you driving on interstates with an average of 65 mph?
O 5.98 hours
07.07 hours
O 5.56 hours
07.78 hours
O 6.48 hours
Suppose your car gets 29 miles per gallon on the interstate and gas costs
$3.89/gallon. How much will it cost you to drive to Washington, DC?
O $0.29
O $43,883.09
$52.18
O $3.45
O $2,900.00
It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.
To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.
Time = Distance / Speed
Time = 389 miles / 65 mph
Time ≈ 5.98 hours
Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.
To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.
Number of gallons = Distance / Mileage
Number of gallons = 389 miles / 29 miles per gallon
Number of gallons ≈ 13.41 gallons
The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.
Cost = Number of gallons * Cost per gallon
Cost ≈ 13.41 gallons * $3.89/gallon
Cost ≈ $52.18
Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.
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Jean works for the government and was conducting a survey to determine the income levels of a number of different neighborhoods in a metropolitan area. Based on national data, Jean knows that the mean income level in the country is $40,000, with a standard deviation of $2,000. Jean selected three neighborhoods and determined the average income level. What is the probability that the average income level in the neighborhoods was less than $38,000
Answer:
0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Jean knows that the mean income level in the country is $40,000, with a standard deviation of $2,000.
This means that \(\mu = 40000, \sigma = 2000\)
Jean selected three neighborhoods and determined the average income level.
This means that \(n = 3, s = \frac{2000}{\sqrt{3}} = 1154.7\)
What is the probability that the average income level in the neighborhoods was less than $38,000
This is the pvalue of Z when X = 38000. So
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{38000 - 40000}{1154.7}\)
\(Z = -1.73\)
\(Z = -1.73\) has a pvalue of 0.0418
0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.
Is the range a subset or a proper subset of the codomain?
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
What is a subset?A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
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Name the number system in which only the whole number less than 5 are used
Answer:
Whole numbers less than 5 may be termed as Rational numbers.
In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, x 2 5 Cost, y 8.50 15.25 22.00 31.00 8 12 What is the y-intercept of this function? 0 2.25 4.00 6.50 O 17.13
Answer:
4.00
I just did the question
Answer:
The Answer is B. 4.00
Step-by-step explanation:
Calculate the derivative of the following function and simplify.
y = \(e^{x} csc x\)
Answer:
To find the derivative of this function, we'll use the product rule and the chain rule. Let's begin by writing the function in a more readable form using parentheses:
y = e^x * csc(x) * (1 / x) * csc(x)
Now we can apply the product rule, letting u = e^x and v = csc(x) * (1 / x) * csc(x):
y' = u'v + uv'
To find u' and v', we'll need to use the chain rule.
u' = (e^x)' = e^x
v' = (csc(x) * (1 / x) * csc(x))'
= (csc(x))' * (1 / x) * csc(x) + csc(x) * (-1 / x^2) * csc(x) + csc(x) * (1 / x) * (csc(x))'
= -csc(x) * cot(x) * (1 / x) * csc(x) - csc(x) * (1 / x^2) * csc(x) - csc(x) * (1 / x) * csc(x) * cot(x)
= -csc(x) * [cot(x) * (1 / x) + (1 / x^2) + (cot(x) / x)]
Now we can substitute these into the product rule formula:
y' = e^x * csc(x) * (1 / x) * csc(x) * [-cot(x) * (1 / x) - (1 / x^2) - (cot(x) / x)] + e^x * (-csc(x) * cot(x) * (1 / x) * csc(x) - csc(x) * (1 / x^2) * csc(x) - csc(x) * (1 / x) * csc(x) * cot(x))
Next, we can simplify this expression. One way to do this is to factor out common terms:
y' = e^x * csc(x) * (1 / x) * csc(x) * [-cot(x) * (1 / x) - (1 / x^2) - (cot(x) / x)] - e^x * csc(x) * cot(x) * (1 / x) * csc(x) * [1 + (cot(x) / x)]
Now we can simplify further by combining like terms:
y' = e^x * csc(x) * (1 / x) * csc(x) * [-cot(x) * (2 / x) - (1 / x^2)] - e^x * csc(x) * cot(x) * (1 / x) * csc(x) * [1 + (cot(x) / x)]
= e^x * csc(x) * (1 / x) * csc(x) * [-2cot(x) / x - 1 / x^2 - cot(x) / x^2] - e^x * csc(x) * cot(x) * (1 / x) * csc(x) * [1 + cot(x) / x]
At this point, the derivative is simplified as much as possible.
(please could you kindly mark my answer as brainliest)
PLEASE HELP!!!
Does the graph or table have a bigger value
The table shows 45x76 and the graph shows a dot on 3425
A:Table
B:Graph
Answer:
B
Step-by-step explanation
B because 45 x 76 =3420
Answer:
B
Step-by-step explanation:
Because I need points
express 6.25 as a fraction and find the square root as a decimal
Answer:
There are several ways to find this. For example:
√
6.25
=
√
6
+
1
4
=
√
25
4
=
√
25
√
4
=
5
2
=
2.5
√
6.25
=
√
625
100
=
√
625
√
100
=
25
10
=
2.5