Evaluate the function, f(x)=4x−3 , for f(12)

Answer:

7

Step-by-step explanation:

7√5÷5

5/5= 1 then,

√1=1

hence 7(1)=7

Answer:

92 degrees

C

Step-by-step explanation:

Answer:

-0.9

Step-by-step explanation:

Answer:

x=-9/10 or -0.9

Step-by-step explanation:

You have to isolate the variable by dividing each side by factors that don't contain the variable. Hope this helped! :)

The sum of the first fifteen terms of the given sequence is 220.

The given sequence can be expressed as: \($2, 8, 14, \dots$\), in which each term is six more than the preceding term. This is an arithmetic sequence, where the common difference between terms is 6. The formula to calculate the sum of the first n terms of an arithmetic sequence is given by \($S_n = \frac{n}{2}(a_1 + a_n)$\), where \($a_1$\) is the first term and \($a_n$\) is the nth term.

In the given sequence, the first term \($a_1$\) is 2 and the 15th term \($a_n$\) is 42. So, plugging these values to the formula gives us, \($S_{15} = \frac{15}{2}(2+42) = \frac{15\times 44}{2} = 220$\).

Therefore, the sum of the first fifteen terms of the given sequence is 220.

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Correct option is A,  f(x) -2 has changed the parent function f(x) = (0.5)x to its new appearance.

The parent function f(x) = log5x has been modified by reflecting it over the x-axis, extending it vertically by a factor of three, and moving it down by three units.

In the picture below you can see the blue line is the graph of the function

f(x) = log(5x) and the green line is the graph of the function

g(x) = log[5(x + 4)] - 2

Since the function f passes at point (2, 1), we must reduce it by 2 units to ensure that it also passes at position (-2, -1). To do this, we add 2 to the function f.

We only need to add 4 to the variable x to have the function go left when we obtain log(5x) - 2.

The function shifts to the left when you add a number to x;

The function moves to the right when you remove a number from x;

The function increases when you add a number to it;

The function decreases when you take a number away from it.

Then we get a function g(x) = log[5 (x + 4)] - 2.

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Given differential equation is y"-9y'+20y=0We can write this equation asy²-9y+20y=0Here, a = 1, b = -9, and c = 20Now, we have to find the roots of this equation.

Now, let us find the value of the discriminant. b²-4ac= (-9)²-4(1)(20)= 81-80= 1Since the value of the discriminant is greater than zero, therefore, we have two real and distinct roots for this equation.Roots are given by the quadratic formula.x= (-b±√(b²-4ac))/2aOn substituting the values of a, b, and c we get,x = (9±√1)/2Now,x1= 5x2= 4/1These roots give two linearly independent solutions as follows: y1=e^5t and y2=e^4tTherefore, the general solution to the differential equation is:y=c1e^5t+c2e^4tWhere c1 and c2 are constants.

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The given differential equation is y"-9y'+20y=0.

Let us use the characteristic equation to solve this differential equation.

The characteristic equation of y"-9y'+20y=0 isr² - 9r + 20 = 0.

Solve for r by factoring the characteristic equation(r - 5)(r - 4) = 0. 

Therefore, r = 5 and r = 4.

Thus, the general solution of the differential equation y"-9y'+20y=0 isy(x) = c₁e⁴x + c₂e⁵x

where c₁, c₂ are constants.

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Answer:

You can't find the area or perimeter with the information given. If this is a calculus level problem then it is possible.

Answer:

24

Step-by-step explanation:

Sally visited 16 stores when shopping for 2 hours.

Since Sally could look in 6 stores in 45 minutes. Hence:

Time spent in each store = 45 minutes/6 stores = 7.5 minutes per store.

Given a time of 2 hours = 2 hours * 60 minutes per hour = 120 minutes

Number of stores visited in 2 hours = 120 minute / 7.5 minute per store = 16 stores

Therefore Sally visited 16 stores in 2 hours.

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Hey there!

x^2 + 4x = 12

SUBTRACT 12 to BOTH SIDES

x^2 + 4x - 12 = 12 - 12

SIMPLIFY IT

x^2 + 4x - 12 = 0

FACTOR the LEFT SIDE of your EQUATION

(x - 2)(x + 6) = 0

• EQUATION #1: x - 2 = 0

OR

• EQUATION #2: x + 6 = 0

SIMPLIFY IT

• EQUATION #1 answer: x = 2

OR

• EQUATION #2 answer: x = -6

OVERALL ANSWER: x = 2 or x = -6

YOUR ANSWER: x = 2 (Option A.)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

A Paired t-test evaluates data from dependent samples in which the two

treatments are applied to the same individual.

T-test is a statistical statistics mainly use when population variance is

unknown and sample size is small.

In Paired t-test , we compare means of two dependent samples. It gives

hypothesis examination on difference between of mean.

It uses same items or people in both sample that's why they are also known as dependent t-test or Paired t-test also increases the statistical power of our analysis.

Formula of paired t-test :

t = m / S / n

with (n-1) degree

where , m --> mean difference

S ---> standard deviation difference

n --> sample size

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Answer: Femi is 14 years old

Step-by-step explanation: ten years ago ade was 2 and ade is half the age of Femi so that means Femi was 4 at that time since 2 is half of 4 and since he is 12 ten years later Femi is 14 ten years later.

The probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

μρ=ρ

The standard deviation of this sampling distribution of sample proportion is:

σρ=\(\sqrt \frac{p(1-p)}{n}\)

The information provided is:

n = 533

p = 0.09

As the sample size is quite large, i.e. n = 533 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by a Normal distribution.

The mean and standard deviation are:

μρ=ρ=0.09

σρ=\(\sqrt \frac{p(1-p)}{n}\)=\(\sqrt\frac{0.09(1-0.09)}{533}=0.01239\)

Compute the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% as follows:

\(p(p^-p > 0.03)=P(p^ > 0.12) \\=P(z > \frac{0.12-0.9}{0.012}) \\= P(Z > 2.5) \\= 1-P(Z > 2.5) \\ = 1- 0.993 \\ = 0.00621\)

Thus, the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

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We are given observed frequencies of 100 students receiving A's, 100 students receiving B's, 150 students receiving C's and 50 students receiving F's in an undergraduate psychology course. The department has determined that there should be 20% A's given, 30% B's given, 40% C's, and 10% F's given as final grades for the course.

We are required to find the expected frequency for the grade of C category.For the given test, we have 4 categories, namely A, B, C, and F with the corresponding expected frequencies: 20% A's i.e

\(\frac{20}{100}\) × 400 = 80,

30% B's i.e \(\frac{30}{100}\) × 400 = 120,

40% C's i.e \(\frac{40}{100}\) × 400 = 160,

and 10% F's i.e \(\frac{10}{100}\) × 400 = 40.

Now, the expected frequency for the category C would be 40% of 400 which equals 160. Therefore, the expected frequency for the grade of C category is 160. Hence, the correct answer is 160 (rounded to the tenths position).

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Answer:

y(x) = 5x+10

Linear relationship between x and y

Step-by-step explanation:

The initial cost, regardless of time, is $10. cost will then increase at a rate of $5 per hour that the boat is rented. Therefore, the cost (y) of renting a paddle boat for 'x' hours is:

\(y(x) = 5x+10\)

There is a linear relationship between x and y, where 5 is the slope of the equation, 10 is the y-intercept, the number of hours is the independent variable, and the cost is the dependent variable.

Answer:

so i couldnt get the other answers but i was able to graph it so i hope this helps sorry if i doesnt then i will try to find the answers using another method

Step-by-step explanation:

also i used math.way to get the answers so i really hope this helps

I'm assuming you want to answer problem 5.

If so, then the answer is A = 84 degrees

==========================================================

Explanation:

Minor arc BC is 96 degrees. This is the measure along the edge of the curve from B to C, following the shorter path. You correctly identified that the central angle BKC is also congruent to this arc measure, since the central angle cuts off this arc.

Because segments AB and AC are tangents to the circle, this makes the segments to be perpendicular to the radii that meet at the point of tangency. In other words, AB is perpendicular to BK, and AC is perpendicular to CK.

Ignore line BC. Focus on quadrilateral ABKC. So far we know that

The only thing missing is angle A, which is what we're after. Recall that for any quadrilateral, the four interior angles always add to 360 degrees.

So,

A+B+K+C = 360

A+90+96+90 = 360

A+276 = 360

A = 360-276

A = 84

-----------------------

Or as a shortcut, you can use the property that because B and C are right angles, this means we have 360-B-C = 360-90-90 = 180 degrees left for angles A and K to add to. This makes angle A and angle K to be supplementary.

So,

A+K = 180

A+96 = 180

A = 180-96

A = 84

A mathematical description of hexagon is given above.

In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

The bounded plane region, the bounding circuit, or the two together, may be called a polygon.

The segments of a polygonal circuit are called its edges or sides.

Given is hexagon.

In geometry, a hexagon is a six-sided polygon creating the outline of a cube. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.

A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).

Therefore, a mathematical description of hexagon is given above.

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Answer:

68

Step-by-step explanation:

the square shape on the corner means it is a right angle, which is 90 degrees

--> that means the value which comes out when you subtract 22 from 90 is the angle left, which is "a" in this case.

90-22=68

Matching the operations with their answers:

(g ∘ f)(2) → √23

(f/g)(-1) → 0

(g + f)(2) → √3 - 3

(9 - f)(-1) → 9

Matching:

(g ∘ f)(2) → √23

(f/g)(-1) → 0

(g + f)(2) → √3 - 3

(9 - f)(-1) → 9

To match each operation involving f(x) and g(x) to its answer, let's evaluate each expression:

1. (g ∘ f)(2):

(g ∘ f)(2) means we substitute f(2) into g(x).

\(f(x) = 1 - x^2\)

f(2) = 1 - 2^2 = 1 - 4 = -3

Now, we substitute -3 into g(x):

g(x) = √(11 - 4x)

(g ∘ f)(2) = g(-3) = √(11 - 4(-3)) = √(11 + 12) = √23

2. (f/g)(-1):

(f/g)(-1) means we substitute -1 into both f(x) and g(x).

\(f(x) = 1 - x^2\\f(-1) = 1 - (-1)^2 = 1 - 1 = 0\)

g(x) = √(11 - 4x)

g(-1) = √(11 - 4(-1)) = √(11 + 4) = √15

3. (g + f)(2):

(g + f)(2) means we add f(2) and g(2).

\(f(x) = 1 - x^2\\f(2) = 1 - 2^2 = 1 - 4 = -3\)

g(x) = √(11 - 4x)

g(2) = √(11 - 4(2)) = √(11 - 8) = √3

(g + f)(2) = g(2) + f(2) = √3 + (-3) = √3 - 3

4. (9 - f)(-1):

(9 - f)(-1) means we substitute -1 into f(x) and subtract the result from 9.

\(f(x) = 1 - x^2\\f(-1) = 1 - (-1)^2 = 1 - 1 = 0\\(9 - f)(-1) = 9 - f(-1) = 9 - 0 = 9\)

Matching the operations with their answers:

(g ∘ f)(2) → √23

(f/g)(-1) → 0

(g + f)(2) → √3 - 3

(9 - f)(-1) → 9

Matching:

(g ∘ f)(2) → √23

(f/g)(-1) → 0

(g + f)(2) → √3 - 3

(9 - f)(-1) → 9

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The answer is "The local inventory car racing team used 1310 gallons of engine oil in July".

Given:

\(\to \bold{g(4) = 13.10}\)

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These statistical measures help the researcher summarize, describe, and understand the data collected from the study participants.

As the researcher is describing the characteristics of the subjects, the appropriate statistical analysis would be descriptive statistics.

Descriptive statistics is a method that summarizes and describes the data collected in a study. It includes measures such as mean, median, mode, standard deviation, range, and frequency distribution.

These measures can provide a clear picture of the demographic data of the three groups of subjects and help in drawing meaningful conclusions.

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No, it does not follow that y is an interval or a ray in x. A convex subset of an ordered set is a set that contains all the points between any two points in the set.

This means that a convex subset of an ordered set could be a collection of points, it could be an interval, or it could be a ray. A proper subset of an ordered set is any subset except the entire set, so a proper subset of an ordered set could be any of these possibilities.

Therefore, while a proper subset of an ordered set that is convex in that set must be a collection of points, an interval, or a ray, it does not necessarily have to be one of those three options.

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Answer:

it would take 1 4/10 gallons of milk to make 1 gallon of ice cream.

Step-by-step explanation:

4.5/1=6.3/x

4.5x=6.3

x=1.4

hope that helps have a good day

Answer: 2280000000

Step-by-step explanation: Yes, I know it is a long number, but 10 cubed = 10 x 10 x 10, which simplified, would be 100 x 10, which is 1000. So, now you do 2.4 x 1000 to get 2400. Now you take that and multiply that by 9.5. Then, you do 10 to the 5th power, which is 100000. Now, you connect it all together, to get 2280000000. Hopefully, I did it right, if not I am sorry :/

A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:

z = (70 - 82) / 8 = -1.5

For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:

z = (60 - 72) / 12 = -1.0

The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

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Step-by-step explanation:

135 meters trust I got this right

The equivalent expression of the verbal statement is 1/4x + 2

From the question, we have the following parameters that can be used in our computation:

The product of one-fourth and the quantity of the sum of x and eight

When represented as a statement, we have

1/4 * (x + 8)

Open the bracket to get the equivalent expression

So, we have the following representation

1/4x + 2

Hence, the equivalent expression is 1/4x + 2

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Step-by-step explanation:

step 1. wow! 670° I think you mean 67°

step 2. the 3 internal angles of a triangle add up to 180°. let x be the third angle

step 3. x + 102 + 67 = 180

step 4. x + 169 = 180

step 5. x = 11°.