factorise fully 12x - 8
Answer:
4(3x-2)
Step-by-step explanation:
Have a great day :)
A baker uses a coffee mug with a diameter of 8\text{ cm}8 cm8, start text, space, c, m, end text to cut out circular cookies from a big sheet of cookie dough.
What is the area AAA of each cookie?
Give your answer in terms of pi.
A=A=A, equals
\text{cm}^2cm
2
start text, c, m, end text, squared
Answer:
Step-by-step explanation:
Since the cookies is circular in nature, we will use the formula for calculating the area of circle to calculate the area if each cookies.
Area of each cookies = πd²/4
Given diameter d = 8cm
Area of the cookies = π(8)²/4
Area of the cookies = 64π/4
Area of the cookies = 16π cm²
Answer:
16 pi ^2
Step-by-step explanation:
um yes
what is the value of c such that the line y=2x+3 is tangent to the parabola y=cx^2
The value of \(c\) such that the line \(y = 2\cdot x + 3\) is tangent to the parabola \(y = c\cdot x^{2}\) is \(-\frac{1}{3}\).
If \(y = 2\cdot x + 3\) is a line tangent to the parabola \(y = c\cdot x^{2}\), then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:
\(2\cdot c \cdot x = 2\) (1)
Then, we have the following system of equations:
\(y = 2\cdot x + 3\) (1)
\(y = c\cdot x^{2}\) (2)
\(c\cdot x = 1\) (3)
Whose solution is shown below:
By (3):
\(c =\frac{1}{x}\)
(3) in (2):
\(y = x\) (4)
(4) in (1):
\(y = -3\)
\(x = -3\)
\(c = -\frac{1}{3}\)
The value of \(c\) such that the line \(y = 2\cdot x + 3\) is tangent to the parabola \(y = c\cdot x^{2}\) is \(-\frac{1}{3}\).
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7+6r-5r^5+3r^7
that is the work plz anybody help meeeee
Answer:
3r^7−5r^5+6r+7
Step-by-step explanation:
Find two integers whose sum is -11 and product is 18
Answer:
-9 and -2Step-by-step explanation:
As,
Sum = - 9 + (-2) = -11
Product = -9 × (-2) = 18
what is the approximate area of the shaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question.
a. 0.02
b. 0.14
c.0.34
d.0.84
You want to find Pr[-2 < Z < -1].
The table tells you that
• Pr[Z < 0] = 0.5000
• Pr[Z < 1.00] = 0.8412
• Pr[Z < 2.00] = 0.9772
• Pr[Z < 3.00] = 0.9987
We have
Pr[-2 < Z < -1] = Pr[Z < -1] - Pr[Z < -2]
(because the distribution of Z is continuous)
… = Pr[Z > 1] - Pr[Z > 2]
(by symmetry of the distribution about its mean)
… = (1 - Pr[Z < 1]) - (1 - Pr[Z < 2])
(by definition of complement)
… = Pr[Z < 2] - Pr[Z < 1]
… = 0.9772 - 0.8412
… = 0.1360 ≈ 0.14 … … … (B)
Answer:
it's B aka 0.10.14
Step-by-step explanation:
Pls help Plz help PLZ help
Answer:
Step-by-step explanation:
E=9x-38
F=2x+40
9x+2x+2=90
11x=90-2
11x=88
x=88/11=8
F=2*8+40
16+40
=56
Simplify 2^5x2^2 / 2^7x2^3 leaving your answer in index form
The simplified form of the expression is \(2^{-3}\).
What is expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.
Here the given expression is,
=> \(\frac{2^5\times 2^2}{2^7 \times 2^3}\)
We know that \(a^x\times a^y = a^{x+y}\) then
=> \(\frac{2^{5+2}}{2^{7+3}}\)
=> \(\frac{2^7}{2^{10}}\)
Now \(\frac{a^x}{a^y}=a^{x-y}\) then
=> \(2^{7-10}\)
=> \(2^{-3}\)
Hence the simplified form of the expression is \(2^{-3}\).
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Explain why the graph of a linear equation in the form of y = c is the horizontal line, parallel to the x axis passing through the point (0, c)
The line y = c is horizontal line, parallel to the x axis passing through the point (0, c).
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The line is,
⇒ y = c
Now, We know that;
Equation of line is,
⇒ y = mx + b
Where, m is slope and b is y - intersect.
When m = 0;
Equation of line is,
⇒ y = b
Hence, This line is the horizontal line, parallel to the x axis passing through the point (0, b).
Thus, The line y = c is horizontal line, parallel to the x axis passing through the point (0, c).
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i need help with Which table shows the correct methods used to justify the solution steps?
3 (x minus 5) + 7 x = 65
Answer:
x = 8
Step-by-step explanation:
3 (x - 5) + 7x = 65
3x - 15 + 7x = 65
10x - 15 = 65
10x = 80
x = 8
Answer:
The awnser is B)
Step-by-step explanation:
the number of trees in a forest is decaying by 1% every year if in one year it has 10 million trees how many million trees win be there in 8 years round to the nearest hundredths
As it is given, 1% of left tree is decaying every year.
Number of tree left after 8 years.
A = P{1-R/100}^\(^{T}\) = 10M{1-1%/100}^ \(^{8}\)
= 10M *(0.99)\(^\)^\(^{8}\)
= 9227446
If round at hundredth, then,
Number of tree = 9227400.
How can you compute depreciation mathematically?Identify the asset's cost. Get the asset's total depreciable value by deducting the projected salvage value from the asset's purchase price. Determine the asset's useful life. The annual depreciation amount is obtained by dividing the sum of steps (2) and (3) by the figure determined in steps (3).
How does depreciation work?Depreciation is the practice of deducting the cost of a company asset over a number of years as opposed to just one. There are four primary ways to depreciate assets: linear, twofold declining, sum of the years' digits, and manufacturing units.
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Please help 10 points...
Answer:
area of a trapezoid is 1/2(h)(b1 + b2)
1/2 (3) (6+2)
1/2 (24)
12 units ²
Which is not the method that can be used to show congruency of two triangles?.
The method that cannot be used to show congruency of two triangles is the method of "angle-angle-angle" (AAA).
The AAA method states that if the corresponding angles of two triangles are congruent, then the triangles themselves are congruent. However, this method is not valid for proving congruency because it does not take into account the lengths of the sides of the triangles.
To prove congruency, we typically use one of the following valid methods:
Side-Side-Side (SSS): If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then the triangles are congruent.
Side-Angle-Side (SAS): If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.
Angle-Side-Angle (ASA): If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
Side-Angle-Angle (SAA): If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle, then the triangles are not necessarily congruent. This method alone is not sufficient to prove congruency.
Therefore, the method that cannot be used to show congruency of two triangles is the Angle-Angle-Angle (AAA) method.
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Somebody please help!
Answer:
see below
Step-by-step explanation:
4xy+ x+ 2xy
Combine like terms which are 4xy and 2xy
6xy+x
Answer:
6xy + x
Step-by-step explanation:
This is the answer because:
1) First, look at all the combine terms
Combine Terms: 4xy and 2xy
2) Since we have a + sign, we have to add 4xy + 2xy which equals 6xy
3) Finally, we are left with 6xy + x
Therefore, the answer is 6xy + x
Hope this helps! :D
The time (in minutes) that it takes a mechanic to change oil has an exponential distribution with mean 20.
a) Find P(X < 25), P(X > 15), and P(15 < X < 25)
b) Find the 40th percentile
Using the exponential distribution formula:
(a) P(X < 25) =0.3935, P(X > 15) = 0.2231 and P(15 < X < 25) = 0.1704
(b) The 40th percentile is 29.15 minutes
a) Using the exponential distribution formula:
P(X < 25) = 1 - \(e^{(-25/20)}\)= 0.3935
P(X > 15) = \(e^{(-15/20)}\) = 0.2231
P(15 < X < 25) = P(X < 25) - P(X < 15) = (1 - \(e^{(-25/20)}\)}) - (1 - \(e^{(-15/20)}\)) = 0.1704
b) The 40th percentile is the value x such that P(X < x) = 0.40. Using the exponential distribution formula:
0.40 = 1 - \(e^{(-x/20)}\)
Solving for x:
\(e^{(-x/20)}\)= 0.60
-x/20 = ln(0.60)
x = -20 ln(0.60) = 29.15
Therefore, the 40th percentile is 29.15 minutes.
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Suppose that, from measurements in a microscope, you determine that a certain bacterium covers an area of 1. 50μm2. Convert this to square meters.
Converting 1. 50μm² to square meters gives 1. 5 × 10 ^-11
What is conversion of units?Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.
From the information given, we are to convert micrometers to square meters
Note that:
1 micrometer ( μm²) = 10^-12m²
Given 1. 50μm² = xm²
cross multiply
x = 1. 50 × 10^-12
x = 1. 50 × 10^-12
x = 1. 50 × 10^-12
x = 1. 5 × 10 ^-11 square meters
Thus, converting 1. 50μm² to square meters gives 1. 5 × 10 ^-11
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The volume of a sphere is 9,198.m3 To the nearest ,meter what is the radius of the sphere? Use 3.14 for .pi
Using the given information, the radius of the sphere to the nearest meter is 13m
Calculating Volume of a sphereFrom the question, we are to determine the radius of the sphere
Using the formula for calculating the volume of a sphere,
\(V = \frac{4}{3} \pi r^{3}\)
Where V is the volume
and r is the radius
From the given information,
V = 9198 m³
Then,
\(9198 = \frac{4}{3} \times \pi r^{3}\)
\(9198 = \frac{4}{3} \times 3.14 \times r^{3}\)
\(4 \times 3.14 \times r^{3} = 9198 \times 3\)
\(4 \times 3.14 \times r^{3} = 27594\)
\(r^{3} = \frac{27594}{4 \times 3.14}\)
\(r = \sqrt[3]{\frac{27594}{4\times 3.14} }\)
r = 12.99995 m
r ≅ 13 m
Hence, the radius of the sphere to the nearest meter is 13m.
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evan paid $15.00 for 5 cans of juice. what is the price per can of juice?
Answer:
$3.00
Step-by-step explanation:
15/5 = 3
A university professor does not believe that there is really a difference between the GPA of male and female scholarship athletes, so he looks into how the sample was collected. His investigation shows that the study was given to all of the athletes on the basketball teams exclusively. Based on this information, should the university administration trust the results from this study?
a. Yes, because the results were significant
b. Yes, because a large enough sample was taken
c. No, because not every scholarship athlete part of the study
d. No, because the study was not taken from a random sample of scholarship athletes
Based on this information, No, the university administration should not trust the professor because the study was not taken from a random sample of scholarship athletes. Hence option C is correct.
According to the mentioned question, a university professor investigates how the sample was gathered since he does not think that there is a true difference in the GPA of male and female scholarship athletes. His inquiry reveals that the study was exclusively distributed to the basketball teams' athletes.
According to this data, the university administration shouldn't believe the professor because the study's participant pool did not consist of a representative sample of scholarship athletes.
The sample may not be representative of all university scholarship athletes since the study solely looks at basketball players. This may skew the results and make it challenging to extrapolate the conclusions to the larger group of scholarship athletes.
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Which of the following is equivalent to -4/5
4/5
5/4
4/-5
-4/-5
Answer:
I think it's 4/-5 but Im not sure
...
What is the equation of the line with a slope of 3/2 and a y-intercept of -6?
Answer:
Step-by-step explanation:
Given the linear equation, y = 3/2x - 6: where the slope, m = 3/2 and y-intercept, (0, -6).I plotted the y-intercept on the graph, then used the slope (3 rise, 2 run) to plot the other points on the graph and create a line.
if £2000 is placed into a bank account that pays 3% interest compound into how much will be in the account after 2 years?
Answer:
Account Balance = Principal x (1 + interest rate (decimal))^number of years. With the given information this is: 2000 (1.03)^2 = 2,121.80. So you will earn 121.80 in interest after 2 years on your original 2000 deposit.
Step-by-step explanation:
When testing a capacitor with an ohmmeter, a technician obtains a continuous reading of 1000. The capacitor is Select one: a. Fully discharged b. Basically good c. Fully charged d. Open e. Internally shorted
When testing a capacitor with an ohmmeter, a technician obtains a continuous reading of 1000, then the capacitor is option (b) Basically good
When testing a capacitor with an ohmmeter, a continuous reading of 1000 indicates that the capacitor is basically good. This is because an ohmmeter measures the resistance of the capacitor, and a reading of 1000 indicates that the capacitor has a low resistance, which means it can conduct electricity. If the capacitor was open, it would not conduct electricity at all, and the ohmmeter would show an infinite resistance.
If the capacitor was internally shorted, the ohmmeter would show a very low resistance, typically less than 10 ohms. If the capacitor was fully discharged or fully charged, it would not affect the reading on the ohmmeter. Therefore, the capacitor in this scenario is most likely in good working condition.
Therefore, the correct option is (b) Basically good
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The value of a car decreases by 20 percent per year. Mr. Sing purchased a $22,000 automobile. What is the value of the car at the end of the second year?
Answer:
26,400
Step-by-step explanation:
22,000 × .20= 4,400
22,000-4,400= 17,600
if x = 2, and y = 4, then x^y =
Answer:
16
Step-by-step explanation:
\(x^{y} = 2^{4}=16\)
Which of the following correctly describes the relationship between a parameter & a statistic?
a) A statistic is calculated from sample data and it's generally used to estimate a parameter.
b) statistics are a group of subjects selected according to the parameters of the study.
c) A parameter is calculated from sample data and is generally used to estimate a statistic.
d) A perimeter and a statistic are not related.
(a) correctly describes the relationship between a parameter and a statistic.
The correct description is:
a) A statistic is calculated from sample data and is generally used to estimate a parameter.
In statistics, a parameter refers to a characteristic or measure that describes a population, while a statistic is a characteristic or measure calculated from sample data. Statistics are often used to estimate or infer the corresponding parameters of the population. Therefore, option (a) correctly describes the relationship between a parameter and a statistic.
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A recipe for crumb cake says to mix 3/8 cup of brown sugar and 1/3 cup of white sugar.
From this sugar mixture, set aside 1/4 cup for the crumb topping.
The remaining sugar mixture is used to make the cake.
What amount of the sugar mixture is used to make the cake?
A.) 17/24
B.) 11/24
C.) 1/2
D.) 7/12
Answer:
C) 1/2
Step-by-step explanation:
We know that 3/8 cup of brown sugar and 1/3 cup of white sugar are mixed together to make the sugar mixture.
From this sugar mixture, 1/4 cup is set aside for the crumb topping.
To find out how much sugar mixture is used to make the cake, we need to subtract the amount set aside for the crumb topping from the total sugar mixture.
We can start by converting the mixed unit of measurement (brown sugar in cups and white sugar in cups) to a single unit of measurement (cups)
3/8 cup of brown sugar + 1/3 cup of white sugar = (3/8)+(1/3) = 5/12 cup + 4/12 cup = 9/12 cup.
1/4 cup is set aside for the crumb topping.
So, the remaining sugar mixture used to make the cake is 9/12 cup - 1/4 cup = (9/12) - (1/4) = (9-3)/12 = 6/12 cup = 0.5 cup
Maris purchased a building for £10 m on 1 January 2020 and rented it out to an unassociated company. At 31 December 2020 it is estimated that the building could be sold for £10.8 m, with selling costs of £200,000. If Maris uses the fair value model, which of these statements concerning the fair value exercise for the year ended 31 December 2020 is true?
a. Gain of £600,000 to Statement of Profit or loss
b. Gain of £600,000 to Revaluation surplus and OCl
c. Gain of £800,000 to Statement of Profit or loss
d. Gain of £800,000 to Revaluation surplus and OCl
The correct answer is: c. Gain of £800,000 to Statement of Profit or loss.
Since Maris uses the fair value model, the gain from the increase in the fair value of the building is recognized in the Statement of Profit or Loss. In this case, the building's fair value increased from £10 million to £10.8 million, resulting in a gain of £800,000. Therefore, the gain of £800,000 should be recognized in the Statement of Profit or Loss.According to the fair value model, any gain or loss resulting from the change in fair value of the asset should be recognized in the financial statements. In this case, the increase in the fair value of the building is considered a gain.
Since the gain of £800,000 (the difference between the fair value of £10.8 million and the original purchase price of £10 million) is a result of the change in the asset's fair value, it should be recognized in the Statement of Profit or Loss. This gain represents the increase in the value of the building during the year.
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The function f isdifferentiable on the closed interval [-6,5] and satisfies f(-2)=7. The graph of f’ consists of a senicircle and three line segments, as shown in the figure. a)Find the values of f(-6) and f(5). b)Find the absolute minimum value of f on the closed interval. Justify your answer. d)For each of f’’(-5) and f’’(3), find the value or explain why it does not exist.
Answer:
Step-by-step explanation:
lol sorry
Felix and Megan are going hiking and are trying to figure out how much water
they should bring with them on the hike.
t = the length of the hike
w = the amount of water they should bring on the hike
Which of the variables is dependent?
Answer:
w
Step-by-step explanation:
The amount of water they need to bring depends on how long they will be hiking.