Therefore, The Taylor series for f(x)=sin(x) at x=π/2 is ∑n=0[infinity](-1)^n(x−π/2)^{2n+1}/(2n+1)! and can be found by evaluating the derivatives of sin(x) at x=π/2.
The Taylor series for f(x)=sin(x) at x=π/2 can be found by taking the derivative of sin(x) and evaluating it at x=π/2. We get f(π/2) = sin(π/2) = 1 and f'(x) = cos(x). Evaluating f'(π/2) gives us cos(π/2) = 0. We can then find the second derivative f''(x) = -sin(x) and evaluate it at x=π/2 to get f''(π/2) = -1. This pattern continues, with each derivative evaluated at x=π/2 giving us a coefficient for our Taylor series. Therefore, the Taylor series for f(x)=sin(x) at x=π/2 is ∑n=0[infinity](-1)^n(x−π/2)^{2n+1}/(2n+1)!.
Therefore, The Taylor series for f(x)=sin(x) at x=π/2 is ∑n=0[infinity](-1)^n(x−π/2)^{2n+1}/(2n+1)! and can be found by evaluating the derivatives of sin(x) at x=π/2.
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Suppose you are told that, based on some data, a 0. 95-confidence interval for a characteristic Psi (theta) is given by (1. 23, 2. 45). You are then asked if there is any evidence against the hypothesis H_0: Psi (theta) 2. State your conclusion and justify your reasoning
There is not enough evidence to suggest that Ψ(θ) is significantly different from 2 based on the given data and confidence interval.
Hypothesis testing and confidence intervals:
Hypothesis testing involves making a decision about a certain claim or hypothesis about the population based on sample data. The claim or hypothesis is typically in the form of a statement about a population parameter such as a mean or proportion.
Confidence intervals, on the other hand, provide a range of values that is likely to contain the true population parameter with a certain level of confidence.
Since the null hypothesis is that Ψ (θ) = 2,
we can use the 95% confidence interval given to determine if there is evidence against the null hypothesis.
If the null value of 2 is not contained in the confidence interval, then we can reject the null hypothesis at the 0.05 level of significance.
Looking at the given confidence interval, we can see that the lower bound is 1.23 and the upper bound is 2.45.
Since the null value of 2 is within this interval, we cannot reject the null hypothesis at the 0.05 level of significance.
Therefore,
There is not enough evidence to suggest that Ψ(θ) is significantly different from 2 based on the given data and confidence interval.
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the rate of a river's current is 3 mph. a canoeist paddled 8 mi down the river and back in 2 h. find the paddling rate in calm water.
The required canoeist's paddling rate in calm water is 3 mph.
Let's denote the canoeist's paddling rate in calm water as "x" mph.
When the canoeist paddles upstream against the current, their effective speed is the difference between their paddling rate and the current's rate, or (x - 3) mph. The distance traveled upstream is also 8 miles.
Using the formula:
distance = rate x time
We can set up two equations based on the distance traveled and the effective speed for each leg of the trip:
Downstream leg: 8 = (x + 3) * t1
Upstream leg: 8 = (x - 3) * t2
Since the total time for the round trip is 2 hours, we know that:
t1 + t2 = 2
Now we can solve for x by substituting t1 = 8/(x+3) and t2 = 8/(x-3) into the equation above:
8/(x+3) + 8/(x-3) = 2
Multiplying both sides by (x+3)(x-3) gives:
8(x-3) + 8(x+3) = 2(x+3)(x-3)
Simplifying this expression gives:
16x = 48
x = 3
Therefore, the canoeist's paddling rate in calm water is 3 mph.
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Find GM. A 10 B. 11 C. 12 D. 13 L 156 G 108 M H9 N
Answer:
b.11
Step-by-step explanation:
b is the answer
suppose that the length of a confidence interval is 0.06 when the sample size is 400. determine how the sample size must change to decrease the length of the confidence interval to 0.03.
The way that the sample size would have to change to decrease the length of the confidence interval is to increase from 400 to 1600.
Why should the sample size change ?The confidence interval's length is directly proportional to the sample size. The specific relationship between these two factors follows an inverse proportion that correlates to the square root of the sample size.
One could represent this correlation through a proportionality statement: the larger the sample size, the smaller the confidence interval's length becomes.
Given that L1 = 0. 06 and n1 = 400, we want to find n2 such that L 2 = 0. 03:
L1 / L2 = √(n 2 / n 1)
The values would then be:
L1 / L2 = √ ( n2 / n1 )
0.06 / 0.03 = √ ( n2 / 400)
2 = √ (n2 / 400)
2² = ( √ (n2 / 400))²
4 = n2 / 400
n2 = 4 x 400
n2 = 1600
In conclusion, the sample size needs to increase to 1, 600.
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97) help please !!!!!!!!!!
Answer:
?
Step-by-step explanation:
9(-8-3m) what does this mean combining like terms
Answer:
-72-27m or switch them for -27m-27
Step-by-step explanation:
We are given the problem:
9(-8-3m)
and are asked to combine like terms.
Combining like terms means to combine terms/values that share similar properties. In this case, it would be single numbers or if we had more than 1 value with "m" as the variable, that.
We would have to use the distributive property in this case to combine like terms, so distribute the 9 to all terms in the parenthesis.
-72-27m
We usually put the variable and coefficient first, so it would be -27m-72.
Hope this helps! :)
answer these for me please
Answer:
a) $12/child
b) $260
c) c = 12n + 260
d) n can be any whole number up to the maximum number of children allowed.
Step-by-step explanation:
A)
440 - 380 = 60
15 - 10 = 5
60 / 5 = 12
There's a $12 additional charge for each child.
B)
10 * 12 = 120 (total additional charge)
Subtract the total additional charge from the total price to find the initial charge.
380 - 120 = 260
Initial fee is $260
C)
C is going to equal cost/total cost and n will equal the number of children attending.
c = 12n + 260
This is because you pay an extra $12 for every child attending and the initial price is $260. You want to add these together to find the total price.
D)
n can equal any whole number as long as it doesn't exceed a set limit (if there is one set). Of course there can't be half a child so it will always be numbers like 10, 15, 20, 25, 32, etc.
6. if c = 300 0.90 yd. i = 100 g = 200 and there are no net exports or taxes what is the equilibrium level of gdp?
The equilibrium level of GDP can be found using the equation Y = C + I + G, where Y is GDP, C is consumption, I is investment, and G is government spending.
Given the values of C, I, and G, we can substitute them into the equation and solve for Y.
In this case, we have Y = 300 + 100 + 200 = 600. Therefore, the equilibrium level of GDP is 600.
The equilibrium level of GDP is the level at which aggregate demand (the sum of consumption, investment, and government spending) equals aggregate supply (the total output produced by the economy). In this problem, we are given the values of consumption, investment, and government spending, and asked to find the equilibrium level of GDP. Using the equation Y = C + I + G, we can substitute in the given values and solve for Y. This gives us the equilibrium level of GDP, which represents the point at which the economy is in equilibrium and there is no tendency for output or prices to change.
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how do we find the answer here?
20 points
Answer:
[tex] \frac{250(n + 4)}{n} \geqslant 320[/tex]
[tex] \frac{250n + 1000}{n} \geqslant 320[/tex]
[tex]250 + \frac{1000}{n} \geqslant 320[/tex]
[tex] \frac{1000}{n} \geqslant 70[/tex]
[tex] \frac{n}{1000} \leqslant \frac{1}{70} [/tex]
[tex]n \leqslant \frac{1000}{70} [/tex]
[tex]n \leqslant 14[/tex]
is the velocity vector v(t) of a curve r(t) always perpendicular to the acceleration vector a(t)?
No, the velocity vector v(t) of a curve r(t) is not always perpendicular to the acceleration vector a(t). To understand this concept, we first need to understand what these vectors are.
The velocity vector v(t) of a curve r(t) represents the rate of change of position of an object with respect to time. In other words, it tells us how fast an object is moving and in what direction. It is a tangent vector to the curve r(t) at any given point on the curve.
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find the pdf of in terms of the pdf of . specialize the answer to the case where is uniformly distributed between 0 and 1.
The PDF of Y, when X is uniformly distributed between 0 and 1, is given by fY(y) = 1/y for y > 0.
Let's denote the PDF of X as fX(x), which represents the probability density function of X. We want to find the PDF of Y, denoted as fY(y), which represents the probability density function of Y = eˣ.
To derive the PDF of Y, we need to understand the transformation that occurs when we apply the exponential function to X. The transformation Y = eˣ is a monotonic transformation, which means that it preserves the order of the values of X. In other words, if X1 < X2, then eˣ1 < eˣ2.
To find the PDF of Y, we will use the cumulative distribution function (CDF) approach. The CDF of Y, denoted as FY(y), gives us the probability that Y takes on a value less than or equal to y. Mathematically, FY(y) = P(Y ≤ y).
We can express the CDF of Y in terms of the CDF of X. Since Y = eˣ, we have FY(y) = P(eˣ ≤ y). Now, we can solve this inequality for X by taking the natural logarithm (ln) of both sides: ln(Y) ≤ X.
Next, we can write the inequality in terms of the CDF of X. Since X is uniformly distributed between 0 and 1, its CDF, denoted as FX(x), is given by FX(x) = x for 0 ≤ x ≤ 1.
Substituting ln(Y) ≤ X, we get ln(Y) ≤ FX(x). To find the probability that this inequality holds, we integrate the CDF of X from 0 to the value of X that satisfies ln(Y) ≤ X. This gives us:
FY(y) = P(Y ≤ y) = P(ln(Y) ≤ X) = P(ln(Y) ≤ FX(x)) = ∫[0,X] fX(x) dx,
where fX(x) is the PDF of X.
Since X is uniformly distributed between 0 and 1, its PDF is a constant function over the interval [0,1]. Therefore, fX(x) = 1 for 0 ≤ x ≤ 1, and fX(x) = 0 otherwise.
We can now compute FY(y) by evaluating the integral for different values of y. However, to obtain the PDF of Y, we need to differentiate FY(y) with respect to y. By applying the Fundamental Theorem of Calculus, we get:
fY(y) = d/dy [FY(y)] = d/dy ∫[0,X] fX(x) dx.
Since fX(x) = 1 for 0 ≤ x ≤ 1, we can take the derivative of the integral with respect to y, resulting in:
fY(y) = d/dy [FY(y)] = d/dy ∫[0,X] 1 dx = d/dy (X) = d/dy (ln(y)) = 1/y,
where y > 0.
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kiran has a sock drawer that has $7$ different pairs of matching socks. every day for a week, he pulls out two socks at random (without replacement). what is the expected number of days that kiran wears matching socks?
The expected number of days that Kiran wears matching socks is equal to approximately 1.928 days.
To find the expected number of days that Kiran wears matching socks,
Calculate the probability of wearing matching socks on each day and sum up these probabilities.
Let us consider each day of the week separately.
On the first day, Kiran randomly selects two socks.
The probability of wearing matching socks on the first day is 1, as there is no other pair of socks chosen yet.
On the second day, there are 12 socks remaining in the drawer 2 socks from the first day and 10 remaining pairs.
Kiran selects two socks again, and the probability of wearing matching socks on the second day is 1/11,
As there is only one pair of matching socks among the remaining 11 socks.
Similarly, on the third day, the probability of wearing matching socks is 1/9.
On the fourth day is 1/7, on the fifth day is 1/5, on the sixth day is 1/3, and on the seventh day is 1/1.
Now, let us calculate the expected number of days that Kiran wears matching socks,
E = (1 × 1) + (1/11 × 1) + (1/9 × 1) + (1/7 × 1) + (1/5 × 1) + (1/3 × 1) + (1/1 × 1)
= 1 + 1/11 + 1/9 + 1/7 + 1/5 + 1/3 + 1/1
≈ 1.928
Therefore, the expected number of days that Kiran wears matching socks over the course of the week is approximately 1.928 days.
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A smaller cylinder rod in the example of question 5 would provide a____ _____ force. Greater retraction.
A smaller cylinder rod in the example of question 5 would provide a greater retraction force.
To understand why this is the case, we need to look at the formula for force: force = pressure x area. In the case of a hydraulic cylinder, the force is generated by pressure acting on the surface area of a piston. A smaller cylinder rod would have a smaller surface area than a larger one, which means that the same amount of pressure would generate a greater force.
For example, let's say that we have two hydraulic cylinders with the same pressure and the same fluid flow rate, but one has a smaller cylinder rod than the other. The smaller cylinder rod would have a smaller surface area, so the force generated by the pressure would be greater. This greater force would result in greater retraction of the rod, making it move faster and with greater force.
In conclusion, a smaller cylinder rod would provide a greater retraction force due to the smaller surface area on which pressure acts, resulting in a greater force for the same amount of pressure.
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find the most general antiderivative of h(t)=−3sin(t)/cos^2(t), where −π2
The most general antiderivative of h(t)=-3sin(t)/cos^2(t) is F(t)=3sec(t)+C, where C is a constant of integration.
To find the antiderivative of h(t), we first recognize that -3sin(t)/cos^2(t) can be rewritten as -3cos^(-2)(t) * sin(t). We can then use the substitution u = cos(t), du = -sin(t) dt to obtain ∫ -3cos^(-2)(t) * sin(t) dt = ∫ -3/u^2 du. Integrating with respect to u, we get 3/u + C = 3sec(t) + C, where C is a constant of integration. Therefore, the most general antiderivative of h(t) is F(t) = 3sec(t) + C, where C is a constant of integration.
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Last year at a certain high school, there were 125 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll decreased by 8% and the number of girls on the honor roll decreased by 5%. By what percentage did the total number of students on the honor roll decrease?
Answer:
by 29.25 %
Step-by-step explanation:
that is the ans
Answer:
6.67%
Step-by-step explanation:
there are 125 + 100 = 225 students.
boys:
125 decreased by 8%
decrease in 8% means 100% - 8% = 92%
125 X 0.92 = 115 boys.
girls:
100 decreased by 5%
decrease in 5% means 100% - 5% = 95%
100 X 0.95 = 95 girls
now the total number of girls and boys on the honor roll = 95 + 115 = 210 students.
that is a reduction of 225 - 210 = 15.
we want the reduction in percentage
15/225 = 0.0667
= 6.67%
Write the Quadratic Function in Vertex Form. Simplify if needed and show your work. Explain.
Y = x^2 + 6x + 3
After considering the given data we come to the conclusion that the conversion of the given quadratic equation into vertex form is f(x) = (x + 3)² - 6.
In order to form the quadratic function in vertex form, we have to apply the formula f(x) = a(x - h)² + k.
Then the vertex form of the given quadratic function is
Y = x² + 6x + 3,
The completion of the square are as follows
Y = x² + 6x + 3
Y = (x² + 6x + 9) - 9 + 3
Y = (x + 3)² - 6
Hence, the vertex form of the given quadratic function is f(x) = (x + 3)² - 6. The vertex of this parabola is (-3,-6).
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Dustin runs
3 1/2 kilometers
every day. How
many kilometers
does Dustin run in
5 days?
PLEASE HELP FAST
Write the result in scientific notation
(1.4*10 by the power of one)(8*10by the power of 4)
A .9.4 * 10 by the power of 4
B. 9.4 * 10 by the power of 5
C. 1.12 * 10 by the power of 5
D. 1.12 10 by the power of 6
16.( 1.1 * 10 by the power of negative 5) ( 3 * 10² negative power)
A. 4.1 10 by the power of negative 7
B. 4.1 * 10 by the power of 10
C. 3.3 * 10 by the negative 7
D. 3.3 * 10 by the power of 10
The equivalent value of the exponential expressions are solved
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = (1.4*10 by the power of one)(8*10by the power of 4)
On simplifying , we get
A = 1.4 x 10¹ x 8 x 10⁴
A = 11.2 x 10⁵
A = 1.12 x 10⁶
Now , the exponential equation is B
where B = ( 1.1 * 10 by the power of negative 5) ( 3 * 10² negative power)
B = 1.1 x 10⁻⁵ x 3 x 10⁻²
B = 3.3 x 10⁻⁷
Hence , the exponents are solved
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Suppose a cut is made through a solid object perpendicular to the x-axis at a particular point x Explain the meaning of Alx). Choose the correct answer below. O A. Alk) is the area of the cross section through the solid at the point x O B. Ab) is the volume of the cross section through the solid at the point x, C. A) is the function that describes the cross section through the solid at the point x D. A(x) is the function that describes the solid
The correct optionr is A. Al(x) is the area of the cross section through the solid at the point x
Al(x) is not the volume of the cross section, the function that describes the cross section, or the function that describes the solid. It is simply the area of the cross section at a specific point.
If a cut is made through a solid object perpendicular to the x-axis at a particular point x, Al(x) represents the area of the cross section through the solid at that point.
It's important to note that the shape of the cross section can vary at different points along the solid object, so Al(x) will also vary depending on the particular point at which the cut is made. You could expand on the concept of cross-sectional areas, how they vary depending on the shape of the solid object, and the importance of being specific about the point at which the cross section is taken. You could also discuss real-world applications of cross-sectional analysis, such as in engineering and architecture.Know more about the cross section area
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Can someone help me please.
Answer:
= 512 ft²
Step-by-step explanation:
All the rectangular figure:
Area₁ = (32ft + 8ft) (8ft + 8ft)
Area₁ = (40ft)(16ft)
Area₁ = 640ft²
Area of NOT shaded region;
There are 2 similar squares:
Area₂ = 2(8ft*8ft)
Area₂ = 2(64ft²)
Area₂ = 128ft²
Then:
The shaded area is:
Area₁ - Area₂ = Shaded Area
Shaded area = 640 ft² - 128ft²
Shaded area = 512 ft²
Can yall (ANYBODY) please help? I really struggle to understand this. If somebody could solve this for me with a STEP BY STEP Explanation, that would be sublime :)
Parameterize the line from (−1, 0) to (3, −2) so that the line is at (−1, 0) when t=0 and at (3, −2) when t=1.
The parameterization of the line from (-1, 0) to (3, -2) is P(t) = (-1 + 4t, -2t), where t varies from 0 to 1.
How to explain the parameterizationDirection vector = (3, -2) - (-1, 0) = (3 + 1, -2 - 0) = (4, -2)
In order to get a parameterization of the line, we can use the equation:
P(t) = P0 + t * v
where P(t) is a point on the line, P0 is a known point on the line (in this case, (-1, 0)), v is the direction vector of the line, and t is a parameter that varies along the line.
Substituting the values we have, we get:
P(t) = (-1, 0) + t * (4, -2)
Simplifying, we get:
P(t) = (-1 + 4t, -2t)
So the parameterization of the line from (-1, 0) to (3, -2) is P(t) = (-1 + 4t, -2t), where t varies from 0 to 1.
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Simplify the given expression. (Enter the exact answer as a fraction. Decimal answers will not be accepted. Your answer should not contain sin, cos, or tan.)cos(pi/4-x), if cos(x)=-1/2 and pi/2
The given expression can be simplified using trigonometric identities. By using the identity cos(a-b) = cos(a)cos(b) + sin(a)sin(b), we get:
cos(pi/4-x) = cos(pi/4)cos(x) + sin(pi/4)sin(x)
Substituting the given values of cos(x) and sin(x), we get:
cos(pi/4-x) = (1/sqrt(2))(-1/2) + (1/sqrt(2))(sqrt(3)/2)
Simplifying this expression, we get:
cos(pi/4-x) = -sqrt(2)/4 + sqrt(6)/4
The given expression involves the cosine of the difference between two angles. By using the identity cos(a-b) = cos(a)cos(b) + sin(a)sin(b), we can simplify the expression in terms of the cosine and sine of the individual angles. We are given the value of cos(x) and we can use the identity sin^2(x) + cos^2(x) = 1 to find the value of sin(x). Once we have the values of sin(x) and cos(x), we can substitute them in the above identity to get the simplified expression.
In this particular problem, we are given the value of cos(x) and the fact that x is in the second quadrant, which implies that sin(x) is positive. Using these values, we can simplify the expression to get the final answer. It is important to note that the answer is requested in exact form as a fraction, and not as a decimal approximation.
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how many squares with side 2 cm can cover the surface of a rectangle with length 24 cm and width 8 cm ?
The number of 48 squares cover the surface of a rectangle.
What is a formula of area of square?Area of a Square = Side × Side. Therefore, the area of square = [tex]Side^2[/tex] square units. and the perimeter of a square = 4 × side units.
We have the information :
The side of a square is 2cm
and, Length of the rectangle is = 24 cm
Breadth of the rectangle is = 8cm
We have to find the how many square cover the surface of a rectangle.
The area of the square is
2 × 2
=4
The area of the rectangle is
L × W
=24 ×8
=192
The number of squares is
192 ÷ 4
=48
Hence, The number of 48 squares cover the surface of a rectangle.
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For a right-tailed test of a hypothesis for a population mean with n = 14, the value of the test statistic was t = 1.863. The p-value is Multiple Choice between.05 and .025. less than .01 greater than .10 between.10 and .05.
For a right-tailed test of a hypothesis for a population means with n = 14 and a test statistic t = 1.863, the p-value is between 0.10 and 0.05.
Hi! You have a question regarding a right-tailed hypothesis test for a population mean with a sample size of n = 14 and a test statistic t = 1.863. You want to determine the p-value range for this test.
To find the p-value range, follow these steps:
1. Identify the degrees of freedom (df) for the t-distribution: df = n - 1 = 14 - 1 = 13.
2. Use a t-distribution table or a calculator to find the p-value range corresponding to the test statistic (t = 1.863) and degrees of freedom (df = 13).
Using a t-distribution table or calculator, you'll find that the p-value for this test is between 0.10 and 0.05.
So, for a right-tailed test of a hypothesis for a population means with n = 14 and a test statistic t = 1.863, the p-value is between 0.10 and 0.05.
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PLEASE HELP IM TIMED
Answer: The answer is D.
Step-by-step explanation: i did the test
the distribution of the number of siblings of students at a local high school has a mean of 2.2 siblings, a standard deviation of 1.4 siblings, and is strongly skewed right. suppose we select a random sample of size 50 from the students at the high school. what is the approximate probability that the mean number of siblings in the sample of size 50 is at most 2?
The approximate probability that the mean number of siblings in the sample of size 50 is at most 2 is 0.1562 or 15.62%.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
To answer this question, we need to use the central limit theorem, which states that the sample mean of a large enough sample from any population with a finite mean and variance will follow a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
In this case, we have a sample size of 50, which is considered large enough for the central limit theorem to apply. Therefore, the mean of the sample means will be equal to the population mean, which is 2.2, and the standard deviation of the sample means will be equal to the population standard deviation divided by the square root of the sample size, which is 1.4/sqrt(50) = 0.198.
To find the probability that the mean number of siblings in the sample of size 50 is at most 2, we need to calculate the z-score and use the standard normal distribution table or calculator. The z-score can be calculated as:
z = (2 - 2.2) / 0.198 = -1.01
Using the standard normal distribution table or calculator, we can find that the probability of getting a z-score of -1.01 or less is approximately 0.1562.
Therefore, the approximate probability that the mean number of siblings in the sample of size 50 is at most 2 is 0.1562 or 15.62%.
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A cylinder has a height of 10 cm and a radius of 4 cm. If the mass of the cylinder is 500 grams, what is the density of the material it is made of?
density = mass/volume
Cylinder Volume Formula
V = πr²h
**please show all work!**
The density of the material it is made of is equal to 0.9952 g/cm³.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the parameters, we have the following:
Volume, V = 3.14 × 4² × 10
Volume, V = 502.4 cm³.
Density = mass/volume
Density = 500/502.4
Density = 0.9952 g/cm³.
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If the Hummer H1 gets 10 miles per gallon of gas, how many miles can it go
on 23 gallons?
The number of miles that Hummer H1 can go would be = 230 miles.
How to calculate the number of miles that the vehicle can travel?To calculate the number of miles the vehicle can travel when a certain amount of gallons are given would be done following the steps below.
The number of miles for 1 gallon of gas = 10 miles
The number of miles for 23 gallons of gas = X miles
That is :
1 gallon = 10 miles
23 gallons = X miles
make X miles the subject of formula;
X miles = 23×10/1
= 230 miles.
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What is the gradient is the straight line shown below give your answer as an integer or as a fraction in its simplest form
The gradient of the linear function graphed in this problem is given as follows:
4.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
m represents the gradient of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.
In this problem, we have that when x increases by one, y increases by 4, hence the gradient of the linear function is given as follows:
4.
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Pleaseeee solve it!!!
Answer:
150 + 12 = 162 cubic cm
Step-by-step explanation:
There's no question but I am going to guess you need the total volume of this figure.
So bottom first - - -
=10x3x5 = 150 cubic cm
Now the top - - -
= 2 x 3 x 2 = 12 cubic cm
Add them up:
150 + 12 = 162 cubic cm