easy questions pls help (question in picture)

There are 7.0874 grams in a quarter of an ounce

In the context of drug measurements, a "quarter" is often used to refer to a quarter of an ounce. One ounce is equal to 28.3495 grams. Therefore, a quarter of an ounce would be:

1/4 x 28.3495 = 7.0874 grams

So there are 7.0874 grams in a quarter of an ounce.

It's important to note that the term "quarter" is not a standard unit of measurement and is often used in the context of illegal drug transactions. It's always a good idea to use standard units of measurement, such as grams or milligrams, when measuring any substance for scientific or medical purposes.

Therefore, one quarter is 7.0874 grams

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THE ANSWER IS

?????

36

Answer:

Step-by-step explanation:

METHOD 1:

\(\begin{array}{ccc}27&-&75\%\\\\x&-&100\%\end{array}\qquad|\text{cross multiply}\)

\((75)(x)=(27)(100)\\\\75x=2700\qquad|\text{divide both sides by 75}\\\\x=36\)

METHOD 2:

\(n\)-a number

\(p\%=\dfrac{p}{100}\\\\75\%=\dfrac{75}{100}=0.75\)

75% of a number is 27:

\(0.75\cdot n=27\qquad|\text{divide both sides by 0.75}\\\\n=36\)

Answer:

0.0555 containers

Step-by-step explanation:

We need to find the unit rate for 54 pints of juice in 3 containers. It means we need to find quantity of juice in 1 container.

54 pints = 3 containers

1 pint = \(\dfrac{1}{18}\ \text{containers}\)

or

1 pint = 0.0555 containers

So, unit rate is 0.0555 containers.

Answer:

3×0+1=1

Step-by-step explanation:

i hope that helps

The simplest radical form of √5/12 is 1/2√5/3

Radical form:

Radical means the opposite of an exponent that is represented with a symbol '√' also known as root.

Given,

Here we have the number √5/12.

Now, we have to convert this into simplest radical form.

To convert this into radical form, first we have to expand the given terms,

Then we get,

=> √5 x √1/12

We know that, 4 x 3 is 12, So, we have to replace 12 with the expression 4 x 3, then we get,

=> √5 x √1/4 x 3

We know that the value of √4 is 2,

Then the expression is rewritten as,

=> 1/2√5/3

Therefore, the simplest radical form is 1/2√5/3.

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The value of the given and completed expression in this problem is

-1

Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.

In this case we have an arithmetic polynomial.

We complete the expression as follows:

1 + 2 - 3 + 4 - 5

We group the positive terms on one side and negative terms on the other:

The value of the expression (1 + 2 - 3 + 4 - 5) is -1

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(x, y) and (-y, x) are orthogonal due to inner product = 0, (x, x) and (-y, y) are not orthogonal due to inner product = 2xy.

3i - j - 2k and -21 and – 3j+k are not orthogonal due to inner product = -3i + 11j + 15k.

The vectors (x, y) and (-y, x), where x and y are nonzero real numbers, are orthogonal. This is because the inner product of two orthogonal vectors is equal to 0. Since (-y, x) = -1 * (x, y), the inner product of these two vectors is 0.

The vectors (x, x) and (-y, y), where x and y are nonzero real numbers, are not orthogonal. This is because the inner product of these two vectors is 2xy, which is not 0.

The vectors 3i - j - 2k and -21 – 3j+k are not orthogonal. This is because the inner product of these two vectors is -3i + 11j + 15k, which is not 0.

Therefore, vectors (x, y) and (-y, x) are orthogonal, with a dot product of 0. Vectors (x, x) and (-y, y) are not orthogonal, with a dot product of 2xy. Vectors 3i-j-2k and -21-3j+k are not orthogonal, with a dot product of -3i+11j+15k.

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Each year the account earns 5% interest, and you deposit 8% of your annual income with an annual income of $30000 which is growing at a continuous rate of 3% per year. The given differential equation models this situation dy/dt= 0.05y+2400e^(0.03*t)

First, let's break down the information given in the problem:
- y(t) represents your retirement account balance in dollars after t years.
- The account earns 5% interest each year, which means that the balance increases by 5% of the previous year's balance.
- You deposit 8% of your annual income into the account each year. Your current annual income is $30,000, but it is growing at a continuous rate of 3% per year.
Now, let's write the differential equation to model this situation. We know that the rate of change of y(t) is equal to the sum of the interest earned and the deposits made each year. In other words:
dy/dt = rate of interest + rate of deposits
The rate of interest is simply 5% of the current balance, or 0.05y. The rate of deposits is 8% of your current annual income, which is $30,000 plus 3% of your current annual income for each additional year. We can express this as \(0.08(30000)(1.03)^t\). Putting it all together, we get:
dy/dt = 0.05y + \(0.08(30000)(1.03)^t\)
But this isn't quite in the form of our desired answer yet. We can simplify the right-hand side by factoring out 0.05y, which gives us:
dy/dt = \(0.05y(1 + 1.6(1.03)^t)\)
Now we have our differential equation in the form of y' = ky, where k = \(0.05(1 + 1.6(1.03)^t)\). To solve this equation, we can use the separation of variables:
dy/y = k dt
Integrating both sides gives us:
ln|y| = kt + C
where C is the constant of integration. Exponentiating both sides gives us:
|y| = \(e^{(kt+C)}\) = \(Ce^{(kt)}\)
where C is a constant that depends on the initial conditions (i.e. the value of y when t=0). We can solve for C using the fact that y(0) = some initial value, say $10,000:
|10000| = \(Ce^{(0)}\)
C = 10000
So our final solution is:
y(t) = \(10000e^{(kt)}\)
where k is still equal to 0.05(1 + 1.6(1.03)^t). If we substitute this expression for k and simplify, we get:
y(t) = \(10000e^{(0.05t + 2400(e^{(0.03t)-1)/0.03)}}\)
which is equivalent to the answer given: dy/dt = 0.05y + \(2400e^{(0.03t)}\)

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Answer:

The slope of y=2x+1 is: 2. The parallel line needs to have the same slope of 2. We can solve it using the "point-slope" equation of a line: y − y1 = 2(x − x1).

Step-by-step explanation:

Answer:

+18

Step-by-step explanation:

A gain is a positive number

+18

Answer:

+18

Step-by-step explanation:

Neg = Drop

Pos = Gain

Gain so +

+18

Assuming the crash site is (3, 4) and the hospital is (7, 8), the distance between the two points is approximately 5.6 miles.

Miles is a unit of distance measurement, equal to 5,280 feet, or 1,760 yards. Miles are often used to measure the distance between two points, such as the distance between two cities. Miles are also used to measure the distance traveled, such as the number of miles a car has driven.

Using the Pythagorean Theorem, the distance between the crash site and the hospital can be determined. Assuming the crash site is (3, 4) and the hospital is (7, 8), the distance between the two points is approximately 5.6 miles.

To calculate the time it will take the medical helicopter to reach the hospital, divide the distance (5.6 miles) by the speed (150 miles per hour). This gives a total time of approximately 37.3 minutes.

It is important to remember that this is an approximation, as wind, visibility, and other factors can affect the helicopter's speed. Additionally, the helicopter may need to make adjustments to its course due to obstacles or other factors. As such, the actual time it takes the helicopter to reach the hospital may be longer or shorter than this estimate.

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At the 0.05 significance level, we reject the null hypothesis and conclude that there is evidence to suggest that the figure for fathers in Littieton who take no responsibility for child care is higher than the national average of 34%

Null hypothesis (H 0): The proportion of fathers in Littieton who take no responsibility for child care is the same as the national average of 34%.

Alternative hypothesis (H1): The proportion of fathers in Littieton who take no responsibility for child care is higher than the national average of 34%.

Test statistic: We will use the z-test statistic to compare the sample proportion to the hypothesized proportion.

P-value: To calculate the p-value, we will compare the test statistic to the standard normal distribution.

Given that a random sample of 234 fathers from Littieton yielded 96 who did not help with child care, we can calculate the test statistic and p-value as follows:

First, calculate the sample proportion:

p = 96/234 ≈ 0.4103

Next, calculate the test statistic:

z = (p - p) / √(p(1-p)/n)

= (0.4103 - 0.34) / √(0.34(1-0.34)/234)

≈ 2.1431

Using a standard normal distribution table or statistical software, we find that the p-value corresponding to a test statistic of z = 2.1431 is approximately 0.0169.

Since the p-value (0.0169) is less than the significance level (0.05), we reject the null hypothesis. There is sufficient evidence to support the researcher's claim that the proportion of fathers in Littieton who take no responsibility for child care is higher than the national average of 34%.

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The chromatic number of the graph K33, which is a complete bipartite graph with 33 vertices, each connected to every vertex in the other set, is 2. This means that the graph can be colored using only two colors.

The chromatic number of a graph represents the minimum number of colors needed to color its vertices such that no adjacent vertices have the same color.

In the case of K33, the graph is a complete bipartite graph, which means it can be divided into two sets of vertices, where each vertex in one set is connected to every vertex in the other set. In this specific graph, we have 33 vertices in each set.

To determine the chromatic number, we observe that in a complete bipartite graph, no vertices within the same set are connected to each other. Therefore, we can assign one color to all the vertices in one set and a different color to all the vertices in the other set.

In K33, we can color one set of 33 vertices, let's say set A, with color 1, and the other set of 33 vertices, set B, with color 2. Since no vertices within the same set are connected, there will be no adjacent vertices with the same color.

Hence, we conclude that the chromatic number of the graph K33 is 2, as it can be colored using only two colors.

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Based on the information in the Venn diagram, we can infer that the table would be completed with the following data from left to right and from top to bottom: 6, 30, 36, 41, 22, 63, 47, 52, 99.

To find the values that complete the table, we must analyze the sales diagram and the data it contains. In this case, it is showing two sets, one referenced with the word fish and the other with the word bird, each of them has different values and there is a set that relates them. Additionally, on the outside of these sets there is a value for a category that is not related to these sets.

In accordance with the above, we only have to look at the values and complete the table. Additionally, to find the totals we must add the values of each row or column.

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Answer: 8/15 and 1 1/3

Step-by-step explanation:

The equivalent fractions for 1 3/5 and 1 1/3 using a common denominator are 8/15 and 10/15. This is because 1 3/5 can be written as 8/15 and 1 1/3 can be written as 10/15, and the denominator (bottom number) of both fractions are the same.

The function h(z) = 1/(z² + 1) is the analytic continuation of f(z) = Σ(-1)ⁿ z²ⁿ to the complex plane C {i, -i}.

To show that the function h(z) = 1/(z² + 1) is the analytic continuation of the Maclaurin series f(z) = Σ\((-1)^n z^{(2n)\) on the disk |z| < 1 to the complex plane C {i, -i}

First, let's evaluate the function h(z):

h(z) = 1/(z² + 1)

We can rewrite this expression using partial fractions:

h(z) = 1/[(z + i)(z - i)]

Now, let's examine the Maclaurin series f(z) = Σ(-1)ⁿ z²ⁿ:

f(z) = 1 - z² + z⁴ - z⁶ + ...

For any z in this region, we can express h(z) using the partial fraction decomposition:

h(z) = 1/[(z + i)(z - i)]

To compare h(z) and f(z), we need to rewrite the partial fraction decomposition in terms of powers of z:

h(z) = A/(z + i) + B/(z - i)

To find the values of A and B, we can multiply both sides of the equation by the common denominator (z + i)(z - i):

1 = A(z - i) + B(z + i)

Now, we can substitute z = -i into the equation:

1 = A(-i - i) + B(-i + i)

1 = -2Ai

From this, we can see that A = -1/(2i) = i/2.

Similarly, substituting z = i into the equation:

1 = A(i - i) + B(i + i)

1 = 2Bi

From this, we can see that B = 1/(2i) = -i/2.

Therefore, the partial fraction decomposition of h(z) becomes:

h(z) = (i/2)/(z + i) + (-i/2)/(z - i)

Now, let's simplify h(z) using these coefficients:

h(z) = i/[2(z + i)] - i/[2(z - i)]

Now, we can compare h(z) with f(z):

h(z) = i/[2(z + i)] - i/[2(z - i)]

     = i/2  [1/(z + i)] - i/2  [1/(z - i)]

     = i/2  [1/(1 - (-z))] - i/2  [1/(1 - z)]

Comparing this with the Maclaurin series f(z), we can see that h(z) matches f(z) term by term within the region of overlap.

Now, let's analyze the analyticity of h(z) in the extended region C {i, -i}. We can see that h(z) has two simple poles at z = i and z = -i, which are excluded from the domain of h(z).

Everywhere else, h(z) is a rational function and therefore analytic.

Therefore, h(z) = 1/(z² + 1) is the analytic continuation of f(z) = Σ(-1)ⁿ z²ⁿ to the complex plane C {i, -i}.

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The correct answer is: d. No, because 3 inches falls above the maximum value of lengths in the sample.

In linear regression, the model is based on the relationship observed in the sample data. The biologist collected data on fish lengths ranging from 0.75 to 1.35 inches, so the model is only valid within that range. Extrapolating the model to predict the weight of a fish with a length of 3 inches would be beyond the observed range of the data. This can lead to unreliable predictions as the relationship between length and weight may not hold true for lengths beyond the range of the sample.

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Answer:

Step-by-step explanation:

the answer its f (-5) i tink

Answer:

14⁹

Step-by-step explanation:

When you're multiplying, you add the exponents. So, -3+12=9.

Answer:

y = - 2

Step-by-step explanation:

y = 5 is a horizontal line parallel to the x- axis

a parallel line will also be a horizontal line with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (1, - 2 ) with y- coordinate - 2, then

y = - 2 ← equation of parallel line

For Janna to prove that △ABC∼△DEF by the SSS similarity theorem, she will use: B. DE/AB = EF/BC = DF/AC = 1/4.

According to the SSS similarity theorem, if the ratio of the corresponding sides of two triangles are equal, then both triangles are similar.

The ratio of the corresponding sides of the triangles given are:

DE/AB = 4/16 = 1/4

EF/BC = 3.25/13 = 1/4

DF/AC = 1.75/7 = 1/4

Therefore, what Janna needs is:

B. DE/AB = EF/BC = DF/AC = 1/4

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Answer:

x = 4000

Step-by-step explanation:

Given that,

1.5% of x = 60

That is,

1.5% × x = 60

We can write the above expression again as :

\(\sf\frac{1.5}{100}*x=60\)

So, to find the value of x, we have to make x the subject.

For that, first, multiply both sides by 100.

1.5x = 60 × 100

1.5x = 6000

Now, divide both sides by 1.5.

x = 4000

Answer:

1.5% of 4000 = 60, x = 4000

Step-by-step explanation:

Forming the equation,

→ 1.5% of x = 60

→ 1.5% × x = 60

Now the value of x will be,

→ 1.5% × x = 60

→ (1.5/100)x = 60

→ 1.5x = 60 × 100

→ x = 6000/1.5

→ [ x = 4000 ]

Hence, value of x is 4000.

Answer:

Step-by-step explanation:

44

Answer:

3) y = 1/3x - 1

4) y = 2/5x + 0 or just y = 2/5x

5) y = -1x +4

Step-by-step explanation:

because i aint never seen two pretty best friends, its always one of em gotta be ugly

Answer:

The height of the chair is 29 3/4 inches

Step-by-step explanation:

In this question, we are told to calculate or give the height of the chair.

This is directly obtainable from the question. We are told that the height of the chair is 29 3/4 inches