Plzz help 15 points
Which of the following graphs show
f(x) =
x + 1, when x < 1
4, when ≥ 1

Answer:

7/12

Step-by-step explanation:

multiply 2/3 by 4 on both the numerator and denominator which is 8/12

8/12-1/12=7/12 (final answer because it cannot be simplified)

Answer:

√5

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[-2 - (-1)]² + [0 - (-2)]²

√(-1)² + (2)²

√1 + 4

√5

Answer:

12 ft ^3

Step-by-step explanation:

I assume you are looking ofr the volume of this pyramid

V = 1/3 base area * height

base area = area of 3-4-5 triangle =  1/2 * 3 * 4 = 6   ft^2

so Volume is :

1/3  * 6 * 6 = 12 ft^3

The explicit formula for the given sequence is O_an = -3n + 12.

To determine the explicit formula for the given sequence, we need to analyze the relationship between the term numbers (n) and their corresponding values.

Looking at the values in the table, we can observe that the sequence seems to follow a pattern where each value is obtained by subtracting three times the term number from a constant.

Let's break down the pattern:

Term #1: Value 9

Term #2: Value 16

Term #3: Value 13

Term #4: Value -3

From Term #1 to Term #2, the value increases by 7 (16 - 9). From Term #2 to Term #3, the value decreases by 3 (13 - 16). Finally, from Term #3 to Term #4, the value decreases by 16 (−3 - 13). We notice that the change in the value depends on the term number.

By examining the pattern, we can determine that the explicit formula for the sequence is O_an = -3n + 12. This formula states that the nth term of the sequence is obtained by multiplying the term number (n) by -3 and then adding 12 to the result.

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Answer:

65

Step-by-step explanation:

A=hbb

2=13·10

2=65

The correct option is (B).ΔDCE ≅ ΔD'C'E'

Given,

Triangle CDE is translated down and to the right, forming triangle C'D'E'.

We have to find which statement is correct.

We know that,Triangle has three angles so when we translated it down it doesn't change.

Since Translation doesn't make change to sides and measure of angles so triangle will remain same after translation.

Translation is also known as shifting of same triangle to new position so there will be no change in the angle or side of the triangle. So

\(CD =C'D'\)

\(\ CE = \ C'E'\)

\(DE =D'E'\)

So,the correct option is (B). ΔDCE ≅ ΔD'C'E'.

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Answer: It's B. I hope this helps!!!!

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Answer:

Option (4)

Step-by-step explanation:

Domain of a function is a set of x-values (Input values) of the function.

For the given graph of square root function,

x - values starts from x = 0 and tends to x = ∞

Therefore, domain of the function will be,

x ≥ 0

Option (4) will be the correct option.

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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Answer:

x = 1 .  Hopefully im reading this correct

Step-by-step explanation:

8x - 5 = 3

8x = 5 + 3

8x = 8

x = 8/8

x = 1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x is 1

Step-by-step explanation:

AC =PR

AB =PQ

8x - 5 =3

8x =3+5

8x =8

x=8/8

x=1

Vector equation: r = <7, 0, -4> + t<4, 2, 7>

Parametric equations: x = 7 + 4t, y = 2t, z = -4 + 7t

To find the vector equation and parametric equations for the line parallel to the given line and passing through the point (7, 0, -4), we can use the direction vector of the given line, which is <4, 2, 7>.

The vector equation of a line is given by r = r0 + td, where r is the position vector of a point on the line, r0 is a known point on the line (in this case, (7, 0, -4)), t is the parameter, and d is the direction vector of the line.

Substituting the values, we have r = <7, 0, -4> + t<4, 2, 7>. This is the vector equation for the line.

To obtain the parametric equations, we can express the vector equation component-wise. Thus, we have x = 7 + 4t, y = 0 + 2t, and z = -4 + 7t. These equations represent the line in terms of the parameter t.

In summary, the vector equation for the line is r = <7, 0, -4> + t<4, 2, 7>, and the corresponding parametric equations are x = 7 + 4t, y = 2t, and z = -4 + 7t. These equations describe the line passing through the given point and parallel to the given line in three-dimensional space.

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Answer:

4x

Step-by-step explanation:

64xyz =  2⁶ * x * y* z

36xy = 2² * 3² * x * y

24x   = 2³ * 3 * x

GCF = 2² *x = 4x

Answer:

5

Step-by-step explanation:

There are 5 pants 2 shirts and 4 sweaters which makes 6 together, paired up makes 5 outfits and one extra sweater or shirt.

Answer:

y² = (1/16)x³

Step-by-step explanation:

Given that :

y² varies directly as the cube of x

y² α x³

y² = kx³ - - - (1)

Where, k = constant of f proportionality

We can obtain the value of k ; when x= 4 and y = 2

2² = k4³

4 = 64k

k = 4/64

k = 1/16

Putting k = 1/16 in (1)

y² = (1/16)x³

Answer:

The population after x years will be P = 29000 + 700x

Let the population after the years be represented by P

Population of the town in 2003 = 29000

Annual increase in growth = 700

Then, the population after x years will be:

P = 29000 + 700(x)

P = 29000 + 700x

Therefore, the population will be P = 29000 + 700x.

The correct order of given information is 3, 2, 1 and 4.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Given that, the given graph represents the amount of water in a pool over a period of 5 hours.

Here, the order of given information is

Therefore, the correct order of given information is 3, 2, 1 and 4.

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In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

The line is going to the right side so that means that x must be greater than -53 and the dot is filled in so it is also equal to

Answer:

4

Step-by-step explanation:

Distribute the 2 to the X and 7

4+2x+14=26

2x+18 =26

minus the 18 from 26

2x = 8

divide 2x and 8 by 2

X= 4

Part a)Here, f(x;θ)=e θ−x I (θ,[infinity])(x) is the density function of the random variable X.

Let us first determine the joint distribution of the random sample {X1,X2,...,Xn}

Where F(y) is the distribution function of X.

The distribution function of X is:

\(F(x;θ)=∫−∞x e θ−t dt= [e θ−t]t=xt= −∞= 1− e θ−x\)

For y>θ,fY(y) = n[1−F(y)]n−1 f(y) = n[1−e θ−y]n−1 e θ−y I(y,∞)(θ)

By taking logarithms of fY(y), we get:

\(log fY(y) = log n + (n−1) log[1−e θ−y] + θ − y + log I(y,∞)(θ)\)

Differentiating both sides of the above equation with respect to y, we get:

\(fY(y) = −n(n−1) e (n−1) θ−ny I(y,∞)(θ) [(1−e θ−y)]n−2 I(y,∞)(θ)\)

But this expression can be simplified as:

\(fY(y) = ne −nθ (n−1)e (n−1) θ−ny I(y,∞)(θ) [(1−e θ−y)]n−2\)

This is the pdf of X(1).

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The values of following in parallel lines are:

Angle 3 and Angle 6 are an example of corresponding angles. (Option D is the correct answer).

Angle 1 and Angle 5 are an example of corresponding angles. (Option D is the correct answer).

Angle 6 and Angle 7 are an example of alternate interior angles. (Option B is the correct answer).

Angle 28 would not be congruent to the measure of 27. (Option A is the correct answer).

Angle 41 and Angle 23 are an example of corresponding angles. (Option D is the correct answer).

Option B: 23 is not an example of supplementary angles.

Angle 22 is vertical to Angle 27. Therefore, m22 = m27 = 115°.

Angle 23 and Angle 25 are alternate interior angles, so they are congruent. Therefore, m23 = m25 = 63°.

Angle 1 and Angle 26 are corresponding angles, so they are congruent. Therefore, mz1 = mz6 = 57°.

Parallel lines are two or more lines in a plane that never intersect each other, no matter how far they are extended. In other words, they are always at the same distance from each other and never cross.

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Answer:

the answer is 60cm^2

Step-by-step explanation:

formula for area of triangle =1/2×b×h

1/2×20×6

=60cm^2

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Answer:

60m^2

Step-by-step explanation:

Formula solving a triangle is: 1/2bh or bh/2

b=base which is the 20m

h= height which is 6m

1/2(20)(6) ---> 1/2(120)  ---> 60

(20)(6)/2 --->120/2 ---> 60

m^2 because you are finding the area of a 2D shape

Extra Info:

m^3 would be if you are finding the area/volume of a 3D shape

After 17 years, there will be 4.5g of the radioactive substance.

WE are Given,Initial amount of the radioactive substance = 10g

And Amount of radioactive substance remaining after 9 years = 5.0g

To determine the half-life of the radioactive substance.

Since, the amount of the substance remaining after half-life is half of the original amount.

Now, using the information given, we can write,original amount;

\(2^{9/h}\) = 5.0g

Where h is the half-life of the substance.

Thus, the half-life of the substance is given by,

h = (9 / log2) * log(10/5.0)h = 13.86 years (approx)

After 17 years, the number of half-lives that have occurred would be n = 17 / h

Thus,n = 17 / 13.86n ≈ 1.23

Hence, the amount of the radioactive substance after 17 years is given by, amount after 17 years = original amount / \(2^{17/h}\)

amount after 17 years = 10 / \(2^{1.23}\)

amount after 17 years ≈ 4.5g

Therefore, after 17 years, there will be 4.5g of the radioactive substance.

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The complete quesiton is;

If 10g of a radioactive substance are present initially and 9 yr later only 5.0g remain, how much of the substance, to the nearest tenth of a gram, will be present after 17 yr? After 17 yr, there will be ___g of the radioactive substance. (Do not round until the final answer. Then round to the nearest tenth as needed.)

The probability of spinning two greens on the spinner is 1/16.

To find the probability of spinning two greens on the spinner, we need to determine the probability of spinning a green on the first spin and then the probability of spinning another green on the second spin. Since there are 4 equal sections on the spinner and one of them is green, the probability of spinning a green on the first spin is 1/4.

After the first spin, assuming the spinner is put back to its original state, the probabilities for each section remain the same. Therefore, the probability of spinning a green on the second spin is also 1/4.

To find the probability of both events happening (spinning two greens), we multiply the probabilities together:

P(spinning two greens) = P(green on first spin) * P(green on second spin)

= (1/4) * (1/4)

= 1/16

Therefore, the probability of spinning two greens on the spinner is 1/16.

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Step-by-step explanation: