ABCD is rhombus. What is the measure of angle B?120 degrees60 degrees30 degrees240 degrees

Answer:

Y=4 is a function

Step-by-step explanation:

And to me function is relation

Hope i got this right and have a great day :)

Answer: Yes

Step-by-step explanation:

Yes, y = 4, which is often written as f(x) = 4, is a function that means “take any input, and no matter what it is, produce an output of 4”.

The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

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Missy will need a minimum of 570 square inches of wrapping paper to completely cover the box.

To calculate the minimum amount of wrapping paper needed to cover the box, we need to find the surface area of the box.

A rectangular box has six sides: a top, a bottom, two sides, and two ends.

The top and bottom sides have the same dimensions, which are 17.5 inches by 10 inches. So each of these sides has an area of 17.5 in × 10 in = 175 square inches.

The two side surfaces also have the same dimensions, which are 17.5 inches by 4 inches.

Each of these sides has an area of 17.5 in × 4 in = 70 square inches.

The two end surfaces have the same dimensions, which are 10 inches by 4 inches. Each of these sides has an area of 10 in × 4 in = 40 square inches.

To find the total surface area of the box, we add up the areas of all six sides:

175 in² (top) + 175 in² (bottom) + 70 in² (side 1) + 70 in² (side 2) + 40 in² (end 1) + 40 in² (end 2)

Total surface area = 570 in².

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Answer: No solution

Step-by-step explanation:

Subtracting x from both sides, we get 5=45, which is false.

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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The sprinter will complete the race in approximately 17.07 seconds.

To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.

Acceleration Phase:

The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:

v = u + at

Here:

v = final velocity (which is the velocity at the end of the acceleration phase)

u = initial velocity (which is 0 since the sprinter starts from rest)

a = acceleration

t = time

Rearranging the equation, we have:

t = (v - u) / a

Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:

t = v / a

Plugging in the values, we get:

t = 25 m / 1.64 m/s²

Constant Velocity Phase:

Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:

t = d / v

Here:

d = distance

v = velocity

Plugging in the values, we get:

t = 75 m / (v)

Since the velocity remains constant, we can use the final velocity from the acceleration phase.

Now, let's calculate the time for each phase and sum them up to get the total race time:

Acceleration Phase:

t1 = 25 m / 1.64 m/s²

Constant Velocity Phase:

t2 = 75 m / v

Total race time:

Total time = t1 + t2

Let's calculate the values:

t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)

Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:

v = u + at

Here:

u = initial velocity (0 m/s)

a = acceleration (1.64 m/s²)

t = time (25 m)

Plugging in the values, we get:

v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s

Now, let's calculate the time for the constant velocity phase:

t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)

Finally, let's calculate the total race time:

Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)

Therefore, the sprinter will complete the race in approximately 17.07 seconds.

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Answer:

\(Bill\to 9\ years\)

\(H \to 16\ years\)

Step-by-step explanation:

Let

\(H \to Hoang\)

\(B \to Bill\)

Currently:

\(H = B + 7\)

Two years ago

\(H - 2 = 2 * (B -2)\)

Required

H and B

We have:

\(H - 2 = 2 * (B -2)\)

Open bracket

\(H -2 =2B - 4\)

Add 2 to both sides

\(H -2+2 =2B - 4+2\)

\(H =2B -2\)

Substitute \(H = B + 7\)

\(B + 7 =2B -2\)

Collect like terms

\(2B - B =7+2\)

\(B = 9\)

Substitute \(B = 9\) in \(H = B + 7\)

\(H = B + 7\)

\(H = 9 + 7\)

\(H = 16\)

The top left graph represents the weight of the radioactive isotope over time.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for the function in this problem are given as follows:

a = 96, b = 0.5.

Hence the function is given as follows:

\(y = 96(0.5)^x\)

Two points on the graph of the function are given as follows:

(1,48) and (2, 24).

Hence the top left graph represents the weight of the radioactive isotope over time.

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Answer:

Graph W

Step-by-step explanation:

The given information describes a radioactive decay process, where the weight of the isotope decreases by half at regular intervals. This type of decay is characteristic of exponential decay.

Based on the description, the graph that represents the weight of the radioactive isotope over time would be a decreasing exponential curve, where the y-axis represents the weight of the isotope (in grams), and the x-axis represents time (in hours).

The initial weight of the isotope is 96 grams, and after each subsequent hour, the weight becomes half of what it was in the previous hour. Therefore, the correct graph would start at 96 grams (the initial weight when x = 0) and then decrease by half every hour. It would be a curve that gets closer and closer to zero but never quite reaches it.

Initial weight: 96 grams

After 1 hour: 96 / 2 = 48 grams

After 2 hours: 48 / 2 = 24 grams

After 3 hours: 24 / 2 = 12 grams

After 4 hours: 12 / 2 = 6 grams

After 5 hours: 6 / 2 = 3 grams

So, the points on the graph would be:

Therefore, the graph that represents the weight of the radioactive isotope over time is Graph W.

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

\(Width = 59\)

Step-by-step explanation:

Given

The above data

Required

The class width

To do this, we simply calculate the difference between the class limits of any one of the classes.

Taking 1187–1246 as a point of reference, the class width is:

\(Width = 1246 - 1187\)

\(Width = 59\)

Answer:

so you do 4 times 9 and 3 and they add them to whatever y is

Step-by-step explanation:

Answer:

hello! its (9 x 3 divided by 4) + y

Step-by-step explanation:

yw lol

Answer:

x=18

Step-by-step explanation:

\(\frac{4}{12} =\frac{6}{x} \\\)

\(\frac{4}{12}\) ÷ \(\frac{2}{2}\) = \(\frac{2}{6}\) = \(\frac{6}{x}\)

\(\frac{2}{6} = \frac{6}{x}\)  

2×3 =6

6×3=18

x=18

Answer:

ok was it college math if so the I don't know

ANSWER

(3, 0), (3, -5) and (4, 0)

EXPLANATION

We are given that the range of the function is the set {-5, 0, 9).

This simply tells us that the only output values of the function are -5, 0 and 9.

In other words, the only y values in the function are -5, 0 and 9.

So, we will select the coordinate points that contain these points.

They are:

(3, 0), (3, -5) and (4, 0)

Note: (8.9) is not part of the answes because (8.9) is not a coordinate points. Coordinate points are separated with commas.

Answer: 8 2/3

13/2 ÷ 3/4

keep change flip

13/2 × 4/3

13×4= 52

2×3= 6

52/6= 8 2/3

I hope this helps:

$32.77

Step-by-step explanation:

divide 65.55 by 2

The elevation of the kite will be 65 feet.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Bridget was flying her new kite at an elevation of 85 feet.

And, A strong gust of wind caused the kite to drop 20 feet.

Now,

Since, Bridget was flying her new kite at an elevation of 85 feet.

And, A strong gust of wind caused the kite to drop 20 feet.

So, We get;

The elevation of kite = 85 - 20

                                = 65 feet

Thus, The elevation of the kite will be 65 feet.

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Answer:

18 inches

Step-by-step explanation:

hope this helps <3

So the best actor's age deviates from the mean, he receives the award at the most extreme age.

In response to this question:

Whichever z-score does have the highest absolute value, such that, the one that deviates the most from the mean, has a most extreme age.

Best actor: 31 years old, so.

The mean age of the best actors is 42.2 years, with a standard deviation of 8.2 years.

z = (x - μ)/σ

Put the values;

z = (31 - 42.2)/ 8.2

z = -1.36

Best actress:

So, at the age of 42,

The mean of the best actresses is 31.6 years, with a standard deviation of 10.3 years.

z = (x - μ)/σ

Put the values;

z = (42 - 31.6)/10.3

z = 1.01

Thus, Because the best actor's age is further from the mean, he has the most extreme age when receiving the award.

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Answer:Can somebody also help me with this. i'm confused please hurry!

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

4 skittles and one being green

Answer:

4/5

Step-by-step explanation:

According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.

the growth of a plant or the amount of money you'll have off a banks interest overtime

After considering all the given data we conclude that the measure of m∠E is 54.46° under the condition that ADEF is a right angled triangle.

We already know that ADEF is a right angled triangle having sides EF = 6 and FD = 4, we can apply the Pythagorean theorem to evaluate the length of the hypotenuse AD.
AD = √(6² + 4²)
= √52)
≈ 7.21
Now we can apply the sine function to find the measure of angle E.
sin(E) = opposite/hypotenuse = EF/AD
E = arcsin(EF/AD)
≈ 54.46°
Therefore,  m∠E  ≈ 54.46°.
The Pythagorean Theorem is considered a fundamental relation in the context of Euclidean geometry comparing the three sides of a right triangle.
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Multiply 15 and 6.8. So speed * time = distance

So the answer is 102

The size 50 will produce the widest 95% confidence interval when estimating the population parameter.

It is defined as the sampling distribution following an approximately normal distribution for a known standard deviation.

It is given that, a sample with the sample proportion of 0.4 and which of the following sizes will produce the widest 95% confidence interval.

The margin of error provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

\(\rm MOE = Z\times \dfrac{s}{\sqrt{n}}\)

Where,

Z is the z-score at the confidence interval

s is the standard deviation

n is the number of samples.

An interval is broader the bigger the margin of error.

The margin of error reduces with increasing sample size. The smallest confidence interval should be chosen if we want the widest possible interval.

Thus, the size 50 will produce the widest 95% confidence interval when estimating the population parameter.

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Answer:

B. 35

Step-by-step explanation:

I got it correct :D

Answer:

MK = ~40.8

Step-by-step explanation:

if line HI and line KL have the same ratio as line JH and MK then we can use this equation to find the answer

x/10 = 53/13

we can multiply both sides by ten

x = 530/13

and then divide 530 by 13

530/13 = 40.7692308

and then round

40.7692308 = ~40.8

that is your answer

Answer: 6.25

Step-by-step explanation:

a2 + b2 = c2

b2 = c2 - a2

b2 = (8*8) - (5*5)

b2 = 64 - 25

b2 = 39

b = \(\sqrt{39}\)

b = 6.25