A boat can hold at most 1,000 pounds. If there is 300 pounds of equipment plus 25-pound boxes, what is the maximum number of boxes the ship can carry? Write as an inequality.

Answer:

they are the exact oposite of eachother

Step-by-step explanation:

for example : (8,-4) and (-8,4)

Answer:

It should be $378. sorry if I am wrong.

Step-by-step explanation:

Answer:

the answer is 57 I got it right hope you do to!

Step-by-step explanation:

For the given information, the value of the test statistic is -1.724 and its associated p-value is 0.0426.

In order to calculate the p value of students with GPA of 3.00 or below, the standard score (z -score or test statistic) must be determined first. In statistics, the standard score refers to the number of standard deviations by which the scores differs from the mean value of the observed or measured data. Scores above the mean have positive standard scores, while those below the mean have negative standard scores.

In a sample of 190 graduates, 28 students have a GPA of 3.00 or below, x = 28/190 = 0.15

The standard deviation = √(p(1 – p)/n) = √(0.2(1-0.2)/190) = 0.029 (where p is the probability of success and n is the total number of data)

The z-score = (x - µ)/σ = (0.15 – 0.2)/0.029 = - 1.724

From the table,

The P (z < -1.724) = 0.0426 or 4.26%.

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The distance between Brianna and Mark is given as follows:

106 feet.

The three trigonometric ratios are defined as follows:

For each angle, we have that:

Hence Brianna's position is given as follows:

tan(36º) = 45/d.

d = 45/tangent of 36 degrees

d = 62 feet.

Mark's position is obtained as follows:

tan(15º) = 45/d

d = 45/tangent of 15 degrees

d = 168 feet.

Hence the distance is of:

168 - 62 = 106 feet.

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Answer:

The graph in the attached figure

Step-by-step explanation:

we have

solve for x

-----> Multiply by

The solution is the interval--------> (-9, ∞)

All real numbers greater than  ( the number is not included)

The graph in the attached figure

The solution to the inequality 3x+7 > 13 is x > 2

The inequality is given as:

3x+7 > 13

Subtract 7 from both sides of the inequality

3x > 6

Divide both sides by 3

x > 2

This means that the solution to the inequality 3x+7 > 13 is x > 2

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The amount of cash Liz received is; 458 dollars and 57 cents.

The amounts deposited were as follows;

The subtotal is therefore; 1346 dollars and 75 cents.

Since, the total after cash received is; 888 dollars and 18 cents.

The amount of cash received by Liz is;

1346 dollars and 75 cents - 888 dollars and 18 cents.

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Answer:

A) 1145.39 on Edge

Step-by-step explanation:

Just took test :)

Answer:

Step-by-step explanation:

so the g(x) = x-1 gets plugged into every  x in the f(x) function

=\((x-1)^{2}\) - 3(x-1) + 3

=\(x^{2}\)-2x+1 -3x +3 + 3

=\(x^{2}\) -5x +7

now plug in x = 5

=\(5^{2}\) -5(5) +7

= 7

Answer:

x=-5

Step-by-step explanation:

-4(x-5)=40

-4x+20=40

-4x=40-20

x=20/-4

x=-5

I'm in year 10 but here are some useful websites...

Answer:

y = -3x + 2

Step-by-step explanation:

We will use the form y = mx + b

m is the slope

b is the y intercept

y = -3x +2

Answer:

Step-by-step explanation:

36÷3=1236+12=48100-48=52EN İYİ SEÇERSEN SEVİNİRİM BAŞARILAR DİLERİM

Answer:

Therefore, over a period of 15 years, the account balance will be higher if Johnny deposits $150 a month than if he deposits $75 a month for 30 years.

Step-by-step explanation:

Johnny should choose the option that deposits $150 a month for 15 years, because this will result in the highest account balance. This is due to the effect of compound interest; when a person invests in an account with compound interest, their balance will increase by more each period due to the interest they earn being added to their principal balance.

Therefore, over a period of 15 years, the account balance will be higher if Johnny deposits $150 a month than if he deposits $75 a month for 30 years.

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the area of triangle $AMN$ is 8 square cm.

To find the area of triangle $AMN$, we need to determine the lengths of its base and height.

In square $ABCD$ with side length 4 cm, $N$ is the midpoint of side $BC$, so $BN = NC = \frac{1}{2} \cdot 4 = 2$ cm.

Similarly, $M$ is the midpoint of side $CD$, so $CM = MD = \frac{1}{2} \cdot 4 = 2$ cm.

Now, we can see that $AM$ is the height of triangle $AMN$ and has a length of 4 cm, as it is parallel to side $AD$ of the square.

$AN$ is the base of triangle $AMN$ and has a length of $BN + CM = 2 + 2 = 4$ cm.

Therefore, the area of triangle $AMN$ is given by:

$A_{AMN} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 4 = 8$ square cm.

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Answer:

Step-by-step explanation:

the difference is 3

1 1/2 is equal to 6/2 so the difference would be 3

Answer:5/4

Step-by-step explanation:

I assumed both are mixed numbers

Answer:

€75.80

Step-by-step explanation:

Start with €467.

End up with €88.

Total amount withdrawn:

€467 - €88 = €379

The total amount was withdrawn in 5 equal amounts.

Each amount taken is:

€379 ÷ 5 = €75.80

Answer: x=1/2d+-1/2y

Step-by-step explanation: 2x+y-y=d-y                                                                 2x/2=d-y/2                                                                                                               x=1/2d+-1/2y

Main Answer:The equations :xcosx - 2x^2 + 3x - 1 = 0 on [1.2, 1.3]

x - (lnx)^x = 0 over [4, 5] have at least one solution on the given interval.

Supporting Question and Answer:

What is the Intermediate Value Theorem?

The Intermediate Value Theorem states that if a function is continuous on a closed interval and takes on values of opposite signs at the endpoints of the interval, then it must have at least one root (or solution) within that interval.

Body of the Solution:To show that the equations have at least one solution on the given intervals, we can use the Intermediate Value Theorem. According to the theorem, if a function is continuous on a closed interval and takes on values of opposite signs at the endpoints of the interval, then it must have at least one root within that interval.

Let's analyze each equation separately:

xcosx - 2x^2 + 3x - 1 = 0 on [1.2, 1.3]

To apply the Intermediate Value Theorem, we need to show that the function is continuous on the interval and takes on values of opposite signs at the endpoints.

First, let's check the continuity of the function. Both xcosx and -2x^2 + 3x - 1 are continuous functions on their respective domains. Thus, their sum, xcosx - 2x^2 + 3x - 1, is also continuous on the interval [1.2, 1.3].

Next, we evaluate the function at the endpoints:

f(1.2) = (1.2)cos(1.2) - 2(1.2)^2 + 3(1.2) - 1

≈ 0.0317

f(1.3) = (1.3)cos(1.3) - 2(1.3)^2 + 3(1.3) - 1

≈ -0.0735

Since f(1.2) is positive and f(1.3) is negative, the function changes sign within the interval [1.2, 1.3]. Therefore, by the Intermediate Value Theorem, the equation xcosx - 2x^2 + 3x - 1 = 0 has at least one solution within the interval [1.2, 1.3].

x - (lnx)^x = 0 over [4, 5]

Again, we need to verify the continuity of the function and the sign change at the endpoints.

The function x - (lnx)^x is continuous on the interval [4, 5], as both x and lnx are continuous functions on their respective domains.

Evaluating the function at the endpoints:

f(4) = 4 - (ln4)^4

≈ -3.9616

f(5) = 5 - (ln5)^5

≈ 3.0342

Since f(4) is negative and f(5) is positive, the function changes sign within the interval [4, 5]. By the Intermediate Value Theorem, the equation x - (lnx)^x = 0 has at least one solution within the interval [4, 5].

Final Answer:In both cases, we have shown that the equations have at least one solution within the given intervals using the Intermediate Value Theorem.

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The equations :xcosx - 2x²  + 3x - 1 = 0 on [1.2, 1.3]

x - (lnx)^x = 0 over [4, 5] have at least one solution on the given interval.

The Intermediate Value Theorem states that if a function is continuous on a closed interval and takes on values of opposite signs at the endpoints of the interval, then it must have at least one root (or solution) within that interval.

To show that the equations have at least one solution on the given intervals, we can use the Intermediate Value Theorem. According to the theorem, if a function is continuous on a closed interval and takes on values of opposite signs at the endpoints of the interval, then it must have at least one root within that interval.

Let's analyze each equation separately:

xcosx - 2x²  + 3x - 1 = 0 on [1.2, 1.3]

To apply the Intermediate Value Theorem, we need to show that the function is continuous on the interval and takes on values of opposite signs at the endpoints.

First, let's check the continuity of the function. Both xcosx and -2x²  + 3x - 1 are continuous functions on their respective domains. Thus, their sum, xcosx - 2x²  + 3x - 1, is also continuous on the interval [1.2, 1.3].

Next, we evaluate the function at the endpoints:

f(1.2) = (1.2)cos(1.2) - 2(1.2)²  + 3(1.2) - 1

≈ 0.0317

f(1.3) = (1.3)cos(1.3) - 2(1.3)²  + 3(1.3) - 1

≈ -0.0735

Since f(1.2) is positive and f(1.3) is negative, the function changes sign within the interval [1.2, 1.3]. Therefore, by the Intermediate Value Theorem, the equation xcosx - 2x² + 3x - 1 = 0 has at least one solution within the interval [1.2, 1.3].

x - (lnx)ˣ = 0 over [4, 5]

Again, we need to verify the continuity of the function and the sign change at the endpoints.

The function x - (lnx)ˣ is continuous on the interval [4, 5], as both x and lnx are continuous functions on their respective domains.

Evaluating the function at the endpoints:

f(4) = 4 - (ln4)⁴

≈ -3.9616

f(5) = 5 - (ln5)⁵

≈ 3.0342

Since f(4) is negative and f(5) is positive, the function changes sign within the interval [4, 5]. By the Intermediate Value Theorem, the equation x - (lnx)^x = 0 has at least one solution within the interval [4, 5].

In both cases, we have shown that the equations have at least one solution within the given intervals using the Intermediate Value Theorem.

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You can weigh 4 marbles against each other first, then if none are heavier, weigh 3 of the remaining marbles against each other, and if none of those are heavier, weigh the last two marbles against each other to find the heavier one.

An object's power of attraction toward the Earth is measured by its weight. It is the result of multiplying the object's mass by the acceleration caused by gravity.

A scale or balance is a tool used to determine mass or weight. These are also referred to as weight scales, mass scales, weight balances, and mass balances.

To weigh the 12 marbles and find out the heavier one,

This solution will always work because at each step, you are halving the number of marbles you need to check, so you will always be able to find the heavier marble in 3 weighings or less.

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Answer:

4) y = 10x

5) y = 13x

6) 2,1

4,2

6,3

y=0.5x

On average, you would expect to select approximately 1.90

Americans in order to find your first married respondent. This is because according to the U.S. Census Bureau, the national marriage rate in 2018 was 6.9 per 1,000 individuals, which is equivalent to 0.69% of the population being married.

Therefore, if we assume the population of Americans is uniformly distributed, the probability of randomly selecting a married American is 0.69%. Consequently, the expected number of trials necessary to select a married respondent is 1/0.0069 = 1.90.

To calculate this, we used the probability formula for a single trial: P(X) = N/S, where P(X) is the probability of success, N is the number of successes, and S is the number of trials.

Therefore, by substituting the number of successes (1) and the probability of success (0.0069) into the formula, we can determine the expected number of trials necessary to select a married respondent (1/0.0069 = 1.90).

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The value of d if, The measure of the angles of a triangle are 2dº, 98°, and (2d+ 2)°, is 20.

Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.

Given:

The measure of the angles of a triangle are 2dº, 98°, and (2d+ 2)°,

Calculate the value of d as shown below,

2d + 98 + 2d +2 = 180  (The sum of the interior angle of the triangle is 180)

Do arithmetic operations as shown below,

4d + 100 = 180

4d = 180 - 100

4d = 80

d = 80 / 4

d = 20

Thus, the value of d is 20.

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Answer:

Step-by-step explanation:

Basis points are commonly used in finance and represent a unit of measure for expressing percentages. One basis point is equal to 0.01%, or 0.0001 in decimal form. 45,614 is the standard representation of 4.5614 in basis points.

To express a value in basis points, we multiply the decimal value by 10,000. In this case, to express 4.5614 as basis points, we perform the following calculation:

4.5614 * 10,000 = 45,614 basis points.

Therefore, 4.5614 can be expressed as 45,614 basis points.

Basis points are commonly used in finance and investments to represent small changes in interest rates, bond yields, or other financial percentages.

Each basis point is equal to one-hundredth of a percent or 0.01%. By multiplying a decimal value by 10,000, we convert it to basis points.

Rounding the answer to the nearest 10,000th decimal point means we round the value to the fourth decimal place. In this case, 45,614 is already rounded to the nearest 10,000th decimal place.

It is important to note that when using basis points, it is customary to express the value without a decimal point.

Therefore, 45,614 is the standard representation of 4.5614 in basis points.

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The given equation states that this integral is equal to -2. However, this is not correct, as the integral represents the sum of the areas and should result in a positive value.

To evaluate the integral in terms of areas, we need to interpret it as the area under a curve. The integrand, 3 + √9-x^2, is the equation of a semi-circle with radius 3 and center at the origin.

Thus, we can interpret the integral as the area of this semi-circle from x = 0 to x = 3. We know that the area of a semi-circle with radius r is (1/2)πr^2, so the area of this semi-circle is (1/2)π(3)^2 = (9/2)π.

However, the integral is evaluated from x = 0 to x = 3, so we need to take half of the area to get the area under the curve from x = 0 to x = 3. Therefore, the area under the curve is (9/4)π.

We also know that the integral is equal to -2, so we can set the area equal to -2:

(9/4)π = -2

Solving for π, we get:

π = (-8/9)

This is not a possible value for π, so there must be an error in the problem statement or the solution method.
To evaluate the integral by interpreting it in terms of areas, follow these steps:

Step 1: Identify the given integral
0 ∫ (3 + √9-x^2) dx

Step 2: Break the integral into two parts
0 ∫ 3 dx + 0 ∫ √(9-x^2) dx

Step 3: Evaluate the first integral (0 ∫ 3 dx)
This represents the area of a rectangle with height 3 and width from 0 to x.
Integral = 3x

Step 4: Evaluate the second integral (0 ∫ √(9-x^2) dx)
This represents the area of a quarter-circle with radius 3 (because 9 = 3^2). The area of the quarter-circle can be found using the formula for the area of a circle (A = πr^2) divided by 4:
Integral = (1/4)π(3)^2 = (9/4)π

Step 5: Add the two integrals together
(3x) + (9/4)π

Step 6: Evaluate the integral at the given limits (0 to x)
At x=0, the integral is 0.
So the definite integral = (3x) + (9/4)π - 0

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Answer:

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

mx/x = 3x/x

m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

m = 3/1 = 3

Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

This shows that both functions have the same slope.