Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. When company comes, she makes 96 fluid ounces of coffee. How many grams of coffee beans does Diana use when company comes

Answer:

Step-by-step explanation:

To solve this problem, we can start by analyzing the forces acting on the barge. There are two forces involved: the tension in the tow ropes and the resistance to motion.

1. Tension in the first tow rope:

The tension in the first tow rope is given as 1800 N, and it makes an angle of 20° with the direction of motion. Let's call this angle θ1 = 20°.

2. Tension in the second tow rope:

The tension in the second tow rope is given as 1650 N, and it makes an angle of xº with the direction of motion. Let's call this angle θ2 = xº.

Now, let's analyze the forces along the direction of motion:

1. Tension force along the first tow rope:

The component of the tension force along the direction of motion is T1cos(θ1).

2. Tension force along the second tow rope:

The component of the tension force along the direction of motion is T2cos(θ2).

The net force along the direction of motion is equal to the mass of the barge multiplied by its acceleration:

Net force = mass × acceleration

Since the acceleration is given as 0.6 m/s² and the mass is 4 tonnes (which is equivalent to 4000 kg), we have:

Net force = 4000 kg × 0.6 m/s²

Net force = 2400 N

Now, we can equate the net force to the sum of the tension forces along the direction of motion:

T1cos(θ1) + T2cos(θ2) = 2400 N

Substituting the given values:

1800cos(20°) + 1650cos(xº) = 2400

Simplifying the equation, we can solve for x:

1800cos(20°) + 1650cos(xº) = 2400

cos(xº) = (2400 - 1800cos(20°)) / 1650

xº = arccos((2400 - 1800cos(20°)) / 1650)

Using a calculator, we can find the value of xº.

To find the resistance to motion of the barge, we need to find the total force opposing the motion, which is the sum of the tension forces perpendicular to the direction of motion:

1. Tension force perpendicular to the first tow rope:

The component of the tension force perpendicular to the direction of motion is T1sin(θ1).

2. Tension force perpendicular to the second tow rope:

The component of the tension force perpendicular to the direction of motion is T2sin(θ2).

The resistance to motion is equal to the sum of these perpendicular tension forces:

Resistance = T1sin(θ1) + T2sin(θ2)

Substituting the given values, we can calculate the resistance to motion.

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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Step-by-step explanation:

8 m 40 cm

1 m = 100 cm

Then,

8 m = 8 × 100

= 800 cm

800 + 40 = 840 cm

Now,

It's divided by 5

Then,

840/5

= 168

Therefore,

Option B is correct ✔.

Answer:

The value of sin 270 degrees is -1.

Step-by-step explanation:

Using trigonometric identities, we know, sin(270°) = cos(90° - 270°) = cos(-180°).

Answer:

No integers are irrational.

Step-by-step explanation:

Think about the real number system, whole numbers contain natural numbers, integers contain whole numbers, rational numbers contain integers, and real numbers contain all of these including irrational numbers. An irrational number is separate from the rest of the real numbers because it cannot be expressed or written as a fraction or decimal.

Answer:

24%

Step-by-step explanation:

6÷25×100

to find in percentage

Answer:

6 as a percent would be 0.06.

Step-by-step explanation:

100 as a percent is 1.00

90 as a percent is 0.90

hope this helps, and you have a better understanding of percentages. please rate and mark as brainlest

Answer:

An inscribed angle is defined as the half of its intercepted arc. It's important to notice that the subtended arc by angle C is 180°, because it's have of the total arc length.

\(C=\frac{1}{2} (180\°)=90\°\)

Therefore, angle C is a right angle.

Now, in the image attached you can notice that triangle ABC has one acute angle of 46° and one right angle. We already know that the sum of all three internal angles of a triangle must be equal to 180°.

\(90\° + 46\° + B=180\°\\B=180\° - 46\° - 90\° = 44\°\)

On the other hand, notice that the diameter of the circle represents the hypothenuse for the right triangle. To find the hypothenuse, we need to know the length of one leg at least.

Therefore, there's no enough information to find the hypothenuse, which implies we can't find the diameter/radius.

Answer:

90 degrees

Step-by-step explanation:

Since the p-value (0.314) is greater than the significance level (0.10), we do not have sufficient evidence to reject the null hypothesis. Therefore, we cannot conclude that the mean commute time is greater than 25 minutes based on the given data.

To determine whether the data provide convincing evidence that the transportation engineer's claim is true, we can conduct a hypothesis test.

Hypotheses:

Null hypothesis (H0): The mean commute time is not greater than 25 minutes.

Alternative hypothesis (Ha): The mean commute time is greater than 25 minutes.

Significance level: α = 0.10

Using the sample data, we can calculate the test statistic and the corresponding p-value.

Test statistic:

t = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

t = (25.8 - 25) / (13 / sqrt(1923))

t ≈ 0.483

Degrees of freedom:

df = sample size - 1 = 1923 - 1 = 1922

Using a t-table or a calculator, we can find the p-value associated with a t-value of 0.483 and 1922 degrees of freedom.

Using the TI-84 Plus calculator:

Press STAT.

Select TESTS.

Choose 2:T-Test.

Enter the sample mean, standard deviation, sample size, hypothesized mean, and choose ">" for the alternative.

Calculate and record the p-value.

Let's assume the p-value is calculated to be p ≈ 0.314.

Interpretation:

Since the p-value (0.314) is greater than the significance level (0.10), we do not have sufficient evidence to reject the null hypothesis. Therefore, we cannot conclude that the mean commute time is greater than 25 minutes based on the given data.

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a) The average slope or rate of change between (0, 1) and (2, 4) is 3/2.

b) The average slope or rate of change between (-2, 1/4) and (-1, 1/2) is 1/4.

c) The slope or rate of change is not constant between these two pairs of points, since the average slopes are different.

d) The function connecting these pairs of points is not a linear function.

The average slope or rate of change between two points (x1, y1) and (x2, y2) on a line is given by

average slope = (y2 - y1) / (x2 - x1)

For the points (0, 1) and (2, 4), the average slope is

average slope = (4 - 1) / (2 - 0) = 3/2

For the points (-2, 1/4) and (-1, 1/2), the average slope is

average slope = (1/2 - 1/4) / (-1 - (-2)) = 1/4

The slope or rate of change is not constant between these two pairs of points, since the average slopes are different. Therefore, the function connecting these pairs of points is not a linear function.

Note that a linear function has a constant slope, so if the slope is changing, then the function cannot be linear.

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Answer: here ya go

Sponsored by calderonj4588pics.org

Step-by-step explanation:

option A i think

hope it helps

Answer:

No, it is not a function.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equation:

Convert this to:

As we see each x-coordinate has two y-values referenced, it doesn't pass the vertical line test, this is not a function.

Answer:

x=10. hope this helps

Step-by-step explanation:

The rate at which the base of the triangle is changing is equal to,

dB = -6.3 cm/minutes.

From the data given in the question.

The rate of increase in the area of the triangle, dA = 4.5 cm/minute

The rate of increase in the altitude of the triangle, dH = 3.5 cm/minute

The Area of the triangle, A = 87 square centimeters

The altitude of the triangle, H = 7.5 centimeters

The equation for the area of a triangle is equal to

A = 0.5×B×H

Plug in A and H to solve for B at that point:

87 = 0.5×B×7.5

B = 23.2

Differentiate the equation for the area of a triangle to find the rate of change of the area of a triangle (dA):

dA = 0.5× dB× H + 0.5×B × dH.

Plug in known variables to solve for the rate of change of the base dB

dA = 0.5 × dB × H + 0.5 × B × dH

4.5 = 0.5 × dB × 7.5 + 0.5 × 23.2 × 3.5

The rate at which the base of the triangle is changing is equal to,

dB = -6.3 cm/minutes.

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To obtain a confidence level of 99% and a margin of error of 2 percentage points, we need to survey at least 9,964 adults now.

We can use the formula for sample size calculation for a proportion:

n = [Z² × p × (1-p)] / E²

where:

n = sample size

Z = the z-score corresponding to the desired confidence level

p = the estimated proportion from the previous survey (3.69% = 0.0369)

E = the desired margin of error (2 percentage points = 0.02)

Substituting the values given in the problem, we get:

n = [Z² × p × (1-p)] / E²

n = [(2.58)² × 0.0369 × (1-0.0369)] / (0.02)²

n ≈ 9,964

Therefore, to obtain a confidence level of 99% and a margin of error of 2 percentage points, we need to survey at least 9,964 adults now.

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Percentage change = 10%

We can use the formula:

Percent change = \(\frac{New-Old}{Old}\) x 100

Percent change = \(\frac{77-70}{70}\)x100

Percent change = \(\frac{7}{70}\) x 100

Percent change = 0.1 x 100

Percent change = 10%

Answer: 53.9

Step-by-step explanation:

The conservationist can use the mark and recapture method to estimate the total number of trout in the lake. The initial number of trout caught and tagged is 163, and later 39 trout are caught, with 13 of them being tagged.


To use the mark and recapture method, the conservationist can assume that the ratio of marked trout to the total population of trout in the lake is equal to the ratio of marked trout recaptured to the total number of trout caught in the second sample.
Let x be the total number of trout in the lake.
Then, the proportion of tagged fish in the first sample is 163/x.
In the second sample, there were 39 trout caught, with 13 of them being tagged. Therefore, the proportion of tagged fish in the second sample is 13/39.
Using the formula for the mark and recapture method:
163/x = 13/39
Solving for x:
x = (163 x 39) / 13
x = 489
Therefore, the conservationist would expect there to be approximately 489 trout in the lake.

In conclusion, using the mark and recapture method, the conservationist estimated that there are around 489 trout in the lake based on the initial sample of 163 trout caught and tagged, and the second sample of 39 trout caught with 13 of them being tagged.

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The probability Amaya will bring pizza one day and peanut butter and jelly the next day is 143/961.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Amaya bought peanut butter and jelly sandwich = 11

Amaya bought sandwich = 7

Amaya bought pizza= 13

Total outcomes = 13+ 7 + 11 = 31

So, the probability Amaya will bring pizza one day and peanut butter and jelly the next day

= 13/31 x 11/31

= 143/961

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Answer:

0.013

Step-by-step explanation:

First, work out the probability that the package won't be on time:

1 - 0.980 = 0.020

Then, multiply this amount with the probability the company will choose the local shipping service:

0.650 x 0.020 = 0.013

The confidence interval about the given mean age is (40.7, 34.3). Since the given mean age of 38.8 years is in the obtained interval, there is no sufficient evidence to conclude that the mean age had changed.

The formula for the confidence interval is

C.I = \(\bar x\) ± z(σ/√n)

Where \(\bar x\) - sample mean; z or z(α/2) - test value; σ - standard deviation of the sample; n - sample size;

Consider the hypothesis,

null hypothesis H0: μ = 38.8

alternate hypothesis Ha: μ ≠ 38.8

It is given that,

sample size n = 32

sample mean \(\bar x\) = 37.5

standard deviation σ = 9.2

Constructing a 95% confidence interval about the mean age:

a) Finding the significance level:

= 1 - (95/100)

= 1 - 0.95

∴ α = 0.05

b) Finding the z-value for the obtained significance level:

z(α/2) = z(0.05/2)

∴ z = 1.96 (From the distribution table)

c) Calculating the lower and upper bounds:

C.I = \(\bar x\)  ± z(σ/√n)

On substituting,

C.I = 37.5 ± (1.96)(9.2/√32)

⇒ 37.5 ± (1.96)(1.626)

⇒ 37.5 ± 3.186(≅3.2)

Upper bound = 37.5 + 3.2 = 40.7

Lower bound = 37.5 - 3.2 = 34.3

Thus, the interval is from 34.3 years to 40.7 years.

Hence the given mean age of 38.8 is included in the interval, the evidence is insufficient to conclude that there is a change in the mean age.

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Answer:

-12

Step-by-step explanation:

Answer:

$41.48

Step-by-step explanation:

From the information given, you know that the price that the bookstore pays for a book is marked up 35% and that the selling price of a book is $56, so to be able to find the amount that the bookstore paid for a specific book, you can write the following equation:

x+0.35x=56, where x is the price the bookstore paid for the book.

Now you can solve for x:

1.35x=56

x=56/1.35

x=41.48

According to this, the bookstore paid $41.48 for this book.

The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

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Answer:

Hey there. Heres ur answer

Fifth degree polynomials are also known as quintic polynomials. Quintics have these characteristics:

One to five roots.

Zero to four extrema.

One to three inflection points.

The solution to the system of linear equations is x = 4, y = -3, z = 2.

We can use Gauss-Jordan elimination to solve the given system of linear equations. Rewriting the equations in matrix form, we have:

[2 3 -5 | -5]

[4 -5 1 | -21]

[-5 3 3 | 24]

Performing row operations to simplify the matrix:

R2 = R2 - 2*R1:

[2 3 -5 | -5]

[0 -11 11 | -11]

[-5 3 3 | 24]

R3 = R3 + 2*R1:

[2 3 -5 | -5]

[0 -11 11 | -11]

[0 9 -7 | 14]

R3 = R3 + (9/11)*R2:

[2 3 -5 | -5]

[0 -11 11 | -11]

[0 0 -1 | 1]

Now, performing back-substitution:

z = 1

-11y + 11 = -11

y = -1

2x + 3 - 5 = -5

2x = -3

x = -3/2 = 4/2 = 2

Therefore, the solution to the system of linear equations is x = 4, y = -3, z = 2.



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The equation in standard form for the circle is (x - 7)^2 + y^2 = 64.

To write the equation in standard form for a circle with a diameter having endpoints (7, 4) and (7, -4), we need to find the center and radius of the circle.

The center of the circle is the midpoint of the diameter, which can be found by taking the average of the x-coordinates and the average of the y-coordinates of the endpoints.

Center:

x-coordinate of center = (7 + 7) / 2 = 14 / 2 = 7

y-coordinate of center = (4 + (-4)) / 2 = 0 / 2 = 0

So, the center of the circle is (7, 0).

The radius of the circle is half the length of the diameter, which can be found by calculating the distance between the endpoints of the diameter.

Distance:

d = √((x2 - x1)^2 + (y2 - y1)^2)

= √((7 - 7)^2 + (-4 - 4)^2)

= √(0 + 64)

= √64

= 8

So, the radius of the circle is 8.

Now we can write the equation in standard form for a circle:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values we found:

(x - 7)^2 + (y - 0)^2 = 8^2

(x - 7)^2 + y^2 = 64

Therefore, the equation in standard form for the circle is (x - 7)^2 + y^2 = 64.

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Answer:

(5h-4t)(5h+4t)

Step-by-step explanation:

25h² - 16t²

adding  and subtracting 20ht from it        (√25 and √16 = 5x4 = 20):

25h² + 20ht - 20ht -16t²

factor:

(5h-4t)(5h+4t)

Answer:

(5h - 4t)(5h + 4t)

Step-by-step explanation:

25 h² - 16t² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Then

25h² - 16t²

= (5h)² - (4t)²

= (5h - 4t)(5h + 4t) ← in factored form

Answer:

15,6

Step-by-step explanation:

15×104/100=15,6

She make 15,6$ per hour