PLEASE HELP ME

In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 20 feet long with a wingspan of 16 feet. If the finished model will be 15 inches long, what will the wingspan be?

The correct answer is,

⇒ The system has infinitely many solutions.

Option A is true.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equation are,

12y = - 8x + 40

2x + 3y = 10

Now, From the equations,

From (i) equation,

12y = - 8x + 40

12y + 8x = 40

4(3y + 2x) = 40

3y + 2x = 40/4

2x + 3y = 10

Which is same as second equation.

Hence, We get;

⇒ The system has infinitely many solutions.

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To further elaborate, let's break it down into three paragraphs. In the first paragraph, we can establish that points a and b are situated in a specific region of space. This region has a uniform electric field that is characterized by its direction and strength. Since there is no mention of the magnitude of the electric field, we can assume that it is constant throughout the region. This means that the electric field does not vary in strength from point to point, but remains the same across the entire region.

In the second paragraph, we can focus on the components of the electric field. Here, we learn that the electric field has no x or z-component, which means that it is purely directed along the y-axis. This also means that the electric field lines are parallel to the y-axis and are evenly spaced throughout the region. We can visualize the electric field as a series of equally spaced, parallel lines that extend indefinitely along the y-axis.

In the third and final paragraph, we can summarize the main points of the answer. We know that points a and b are in a region of space with a uniform electric field that has no x or z-component, but only a y-component. This means that the electric field is directed purely along the y-axis and is constant throughout the region.

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Dana's brother wore sneakers for 35 days out of the 49 days observed by Dana.

If the ratio of the number of days her brother wore sneakers to school to the number of days he wore loafers to school was 5 to 2, we can assume that he wore sneakers for 5x days and loafers for 2x days, for some positive integer x.

We know that the total number of days observed by Dana is 49, so we can set up the following equation to solve for x:

5x + 2x = 49

Simplifying the left side of the equation, we get:

7x = 49

Dividing both sides by 7, we get:

x = 7

Therefore, her brother wore sneakers for 5x = 5(7) = 35 days out of the 49 days observed by Dana.

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Answer:

Step-by-step explanation:

(x+2)²+5=0

\(x^{2} +4+5 = 0\)

\(x^{2} +9 = 0\)

\(x^{2} = -9\)

x= no solution

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We know that the square of any number is greater or equal to zero Thus ;

\( ({x + 2})^{2} \geqslant 0\)

And ;

\(5 > 0\)

Sum of the two positive numbers never equal zero Thus there isn't any value for x

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Answer: 1

Step-by-step explanation: 1

Length of the shorter piece of board is equals to 5foot.

" Length is defined as the distance between two end points of any object."

According to the question,

Length of the board = 13foot

'l' represents the length of the longer piece

As per the condition given we have,

Length of the shorter piece = \(\frac{l}{2} +1\)

Therefore,

\(l + \frac{l}{2}+1=13\)

⇒ \(\frac{3l}{2} =13-1\)

⇒\(l= \frac{2}{3} (12)\)

⇒ \(l= 8foot\)

Length of the shorter piece = \(\frac{8}{2} +1\)

                                              = \(5foot\)

Hence, length of the shorter piece of board is equals to 5foot.

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Both probabilities (p = 0.21 and p = 0.17) are non-zero, indicating that neither of the outcomes has a probability of 0.

In the given scenario, two outcomes, labeled as a and b, are mutually exclusive. This means that these outcomes cannot occur simultaneously. The probability of outcome a is given as p = 0.21, and the probability of outcome b is given as p = 0.17.

To determine which probability is equal to 0, we need to evaluate the given probabilities. It is clear that both probabilities are greater than 0 since p = 0.21 and p = 0.17 are positive values.

Therefore, in this specific scenario, neither of the probabilities (p = 0.21 and p = 0.17) is equal to 0. Both outcomes have non-zero probabilities, indicating that there is a chance for either outcome to occur.

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The original cost of the tablet is $70.89 in the given algebraic equation.

A mathematical claim containing two equated algebraic expressions is known as an algebraic equation. When P and Q are polynomials, an algebraic equation has the general form P = 0 or P = Q. The term "multivariate equation" refers to an algebraic equation that has more than one variable.

Univariate equations are algebraic equations that only have one variable. Equations in algebra are balanced by definition. Due to this, the right and left sides of the equation will be equal.

Let the original cost be  x

then

15/100 = 24.99.x

x =  166.6

237.49 - 166.6

= $70.89

Thus, the original cost of the tablet is $70.89 in the given algebraic equations.

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Full question?

Lucas bought a tablet that was on sale at a 15% discount on your supra case for $24.99 which is been a total of $237.49. Write an equation to find the original cost of the tablet?

Answer:

3 years old and 8 years old

Step-by-step explanation:

8-3=5

3x8=24

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The reflection image is as follows,

Answer:

x = 18/25

Step-by-step explanation:

(4/5)² = 2x - 4/5

16/25 = 2x - 4/5

16/25 = 2x - 20/25

36/25 = 2x

x = 18/25

Answer:

x= 18/25

Step-by-step explanation:

Answer:

450 portugals

Step-by-step explanation:

in this question, we are tasked with calculating the number of portugals which are picked by the farmer

Firstly, let the number of portugals picked be p and the number of oranges picked be r.

Thus;

p + r = 600 ••••••••••(i)

Secondly there are 3 times as many oranges as there are portugals;

That would be;

3 * r = p

3r = p. •••••••••(ii)

substitute ii into i

3r + r = 600

4r = 600

r = 600/4

r = 150

P = 3r

p = 3 * 150 = 450

Answer:

the equation is h(x)=e

Step-by-step explanation:

so by this just use quizlet it helps alot yk I can't explain it but it does

The probability that 3 of the next 10 households that a student visits will purchase a raffle ticket is 25%

From the question, we have the following parameters that can be used in our computation:

The probability is calculated as

P(x) = nCx * p^x * (1 - p)^(n -x)

Where

n = 10

p = 25%

x = 3

Substitute the known values in the above equation, so, we have the following representation

P(3) = 10C3 * (25%)^3 * (1 - 25%)^(10 -3)

Evaluate

P(3) = 0.25

Hence, the probability value is 25%

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Answer:

66 degrees

Step-by-step explanation:

WV is the radius and WX is a tangent, so angle W is 90 degrees. So, 90+24=114 and 180-114 is 66.

Hope this is helpful! :)

The answer is (f) None of the above.

We can use the inclusion-exclusion principle to find the cardinality of the set A ∪ (B ∩ C). The formula is:

n(A ∪ (B ∩ C)) = n(A) + n(B) + n(C) - n(B ∪ C) - n(A ∩ B ∩ C)

We are given the values of n(A), n(B), n(C), n(A ∩ B), n(B ∩ C), and n(C ∩ A) from the Venn diagram. We can use these values to find n(B ∪ C) and n(A ∩ B ∩ C) as follows:

n(B ∪ C) = n(B) + n(C) - n(B ∩ C)

n(A ∩ B ∩ C) = n(A) + n(B) + n(C) - n(A ∪ B) - n(B ∪ C) - n(C ∪ A) + n(A ∩ B ∩ C)

Substituting the values from the Venn diagram, we get:

n(B ∪ C) = 50 + 28 - 16 = 62

n(A ∩ B ∩ C) = 18 + 16 + 28 - 50 - 62 - 20 + 10 = 0

Therefore,

n(A ∪ (B ∩ C)) = n(A) + n(B) + n(C) - n(B ∪ C) - n(A ∩ B ∩ C) = 32 + 50 + 20 - 62 - 0 = 40

So the answer is (f) None of the above.

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Answer:

-2.1 , 1.1 , 2.2

Step-by-step explanation:

Answer:

1.1 2.1 2.2 i think that is correct

Answer:8

Step-by-step explanation:

Answer:

28.5 ft

Step-by-step explanation:

The height of a ball is given by the equation ƒ(x) = −16x² + 45x + 2.5 where x is the tome the ball travels. To find the height of the ball after a seconds, we substitute a in place of x, the equation becomes:

ƒ(a) = −16a² + 45a + 2.5.

Therefore if the height of the ball is needed to be found after 2 seconds, we find f(2).

ƒ(2) = −16(2)² + 45(2) + 2.5 = -64 + 90 + 2.5 = 28.5 ft

f(2) = 28.5 ft

Answer:

In 11 weeks they will both be 162lbs each

Step-by-step explanation:

Answer:

The middle graph

Step-by-step explanation:

x > -4 simply means that the value of x must be greater than -4. In the first and third graphs, there is at least one indicated point with a value of -4 or less. However, in the second graph, all of the indicated points have values greater than -4

\(\large\boxed{\fcolorbox{red}{aqua}{Radius~of~semi~circle~=~10cm}}\)

\(\large\underline\mathrm\purple{Diameter~is~20cm}\)

The probability that at least one of Jack or Rose can solve the math problem, given that Jack solves it with probability 0.4 and Rose solves it with probability 0.5 is 0.7.

To solve this, we can use the formula: P(at least one solves) = 1 - P(neither solves).

1. Find the probability of neither solving the problem:
P(Jack doesn't solve) = 1 - 0.4 = 0.6
P(Rose doesn't solve) = 1 - 0.5 = 0.5
P(neither solves) = 0.6 * 0.5 = 0.3

2. Calculate the probability that at least one of them solves the problem:
P(at least one solves) = 1 - P(neither solves) = 1 - 0.3 = 0.7

The probability that at least one of them can solve the problem is 0.7.

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Answer:so for i the answer is f(t) = 6t/3 +3t - 43t/2

Step-by-step explanation:

Ok this is for i 6t/3 + 3t -43t/2

As per the given data, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).

To discover t(zero), we want to alternative 0 for t inside the given feature r(t). This offers us:

\(r(0) = 3e^{(2(0)}), 3e^{(-2(0)}), 3(0)e^{(2(0)})\\\\= 3e^0, 3e^0, 0\\\\= 3(1), 3(1), 0\\\\= 3, 3, 0\)

Therefore, t(0) = (3, 3, 0).

To find r''(0), we need to locate the second one derivative of the given feature r(t). Taking the by-product two times, we get:

\(r''(t) = (3e^{(2t)})'', (3e^{(-2t)})'', (3te^{(2t)})''= 12e^{(2t)}, 12e^{(-2t)}, 12te^{(2t)} + 12e^{(2t)}\)

Substituting 0 for t in r''(t), we have:

\(r''(0) = 12e^{(2(0)}), 12e^{(-2(0)}), 12(0)e^{(2(0)}) + 12e^{(2(0)})\\\\= 12e^0, 12e^0, 12(0)e^0 + 12e^0\\\\= 12(1), 12(1), 0 + 12(1)\\\\= 12, 12, 12\)

Therefore, r''(0) = (12, 12, 12).

Finally, to discover r'(t) · r''(t), we need to calculate the dot made of the first derivative of r(t) and the second spinoff r''(t). The first spinoff of r(t) is given by using:

\(r'(t) = (3e^{(2t)})', (3e^{(-2t)})', (3te^{(2t)})'\\\\= 6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)\)

\(r'(t) · r''(t) = (6e^{(2t)}, -6e^{(-2t)}, 3e^{(2t)} + 6te^{(2t)}) · (12, 12, 12)\\\\= 6e^{(2t)} * 12 + (-6e^{(-2t)}) * 12 + (3e^{(2t)} + 6te^{(2t)}) * 12\\\\= 72e^{(2t)} - 72e^{(-2t)} + 36e^{(2t)} + 72te^{(2t)\)

Thus, r'(t) · r''(t) = \(108e^{(2t)} - 72e^{(-2t)} + 72te^{(2t)\).

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Answer:

$18.67

Step-by-step explanation:

First, convert the percentage to a decimal.

1.45% = 0.0145

Then, multiply the gross pay by the decimal.

$1287.50 × 0.0145 = $18.67

The Social Security Tax will be $18.67.

Answer:

n=-1.5 or  -3/2

Step-by-step explanation:

4n+6

4n=-6

n=-1.5 or  -3/2