Triangle JKL has vertices at the points J(2.5,3), K(3.2,-4.7), and L(-6.9,3). Find the slope of side JL.

A. undefined
B. -11
C. -0.76
D. 0

Answer:

just a guess but the boats speed could be 24mph and the current would be 10mph

Step-by-step explanation:

just thought of it but sorry for not having accurate info

Answer: the probability it will come up heads 25 or fewer times is 0.019

Step-by-step explanation:

Given that;

n = 50

p = 0.65

so, q = 1 - p = 0.35

np = 50 × 0.65 = 32.5 ≥ 10

nq = 50 × 0.35 = 17.5 ≥ 10

so, we need to use Normal Approximation for the Binomial Distribution

μ = np = 50 × 0.65 = 32.5

σ = √(npq) = √( 50 × 0.65 × 0.35 ) = 3.3726

now, the probability that it will come up heads 25 or few times will be;

⇒ P( x≤25)

{using continuity correction}

⇒ P[ z < (25.5 - 32.5)/3.3726 ]

⇒ P[ z < -2.0755 ]

using z-table

= 0.01923 ≈ 0.019  { 3 decimal places}

Therefore the probability it will come up heads 25 or fewer times is 0.019

Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!

Answer:

1.62

Step-by-step explanation:

I really dont have nothing to say

Answer:

\(2x^2 - 50 = 0 \\\\2(x^2 - 25) = 0\\\\(x^2 -5^2 ) = 0\\\\(x-5)(x+5) = 0\\\\x = 5, -5\)

Answer:

Infinitely many solutions

Step-by-step explanation:

(1) ---- 6x - 4y = 9

(2)---- 12x - 8y = 18

If you multiply (1) by 2 → 12x - 8y = 18 --- (3)

and then when you compare (2) and (3), you'll find that you still can't find the value of X and Y therefore, there's infinitely many solutions

Answer:

Infinitely Many Solutions!!

Step-by-step explanation:

You need to do elimination method!!

This is because we need to top the equation to cancel out and become negative.  

6x−4y=9

12x−8y=18

You could do 6x and everything multiplied by -2. But 4y can do the same too!!

I rather do 4y x -2!

-12x+8y=-18

12x−8y=18

Everything cancels out!!

0=0

But 0 equals to 0 goes on forever so the answer is infinite solutions!!

**The reasoning behind the two other choices**

No solution would be like -3=0 which is not our case!!

One solution has something that goes into everything evenly!

Answer:

102°

Step-by-step explanation:

As the vertically opposite angles are equal,

\(5x+2={3(x+14)\)

Now let's solve for x now

\(5x+2=3(x+14)\\\)

\(5x+2=3x+42\)

\(5x-3x=42-2\)

\(2x=40\)

\(\frac{2x}{2} =\frac{40}{2}\)

\(x=20 \\\)

Now let's find the value of KNL

\(3(x+14)\\3(20+14)\\3*34\\102\)

Hope this helps you.

Let me know if you have any other questions ;-)

The only answer possible is 11 if we are talking whole numbers but something with decimals might work as well, I mean 22 only has 2 dividends and that is 11X2 and 22X1

Answer:

he will eat 35/64  of the whole pie

Step-by-step explanation:

i hope i helped

The percent of change from 400 to 600 is 33.34%.

What is Percentage Increase?

It is given that the percent of change is from 400 to 600.

There is an increase from 400 to 600, so the percent of change is an increase.

\(\% \text Increase = \frac{\text FV - IV}{FV} \times 100\)

Here, the final value (FV) = 600 and initial value (IV) = 400.

Substituting the given values in the above formula, we get

\(\% \text Increase = \frac{600-400}{600} \times 100\\\implies \% \text Increase = \frac{200}{600} \times 100\\\implies \% \text Increase = 33.34 \%\)

Therefore, the percent of change from 400 to 600 is 33.34%.

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Answer: D

It's D because the left piece only works when x<2 (not x≤2) and that left piece has a y-intercept of (0,2), making the left piece's equation "x+2 when x<2".

Therefore, the surface area of the prisms A, B, C, D, E, and F are 140, 280, 190, 377, 117, and 135 square units, respectively.

Area is a measure of the size of a two-dimensional surface or shape, usually measured in square units. It is the amount of space inside the boundary of a flat object, such as a rectangle, triangle, circle, or any other shape. The calculation of area depends on the shape of the object, but in general, it involves multiplying two or more dimensions of the object, such as the length and width of a rectangle, or the radius of a circle. The resulting area gives an idea of how much space the object takes up in the plane or on a surface.

Here,

To calculate the surface area of a prism, we need to find the area of each face and add them up.

A) This prism has a rectangular base with dimensions 5 units by 8 units and a height of 10 units. So the area of the base is 5 * 8 = 40 square units, and the area of each of the two congruent rectangular faces is 5 * 10 = 50 square units. Therefore, the total surface area of this prism is:

40 + 50 + 50 = 140 square units.

B) This prism has a rectangular base with dimensions 10 units by 12 units and a height of 8 units. So the area of the base is 10 * 12 = 120 square units, and the area of each of the two congruent rectangular faces is 10 * 8 = 80 square units. Therefore, the total surface area of this prism is:

120 + 80 + 80 = 280 square units.

C) This prism has a triangular base with base length 10 units and height 8 units, and a height of 10 units. So the area of the base is 1/2 * 10 * 8 = 40 square units, and the area of each of the three congruent triangular faces is 1/2 * 10 * 10 = 50 square units. Therefore, the total surface area of this prism is:

40 + 50 + 50 + 50 = 190 square units.

D) This prism has a rectangular base with dimensions 13 units by 5 units and a height of 12 units. So the area of the base is 13 * 5 = 65 square units, and the area of each of the two congruent rectangular faces is 13 * 12 = 156 square units. Therefore, the total surface area of this prism is:

65 + 156 + 156 = 377 square units.

E) This prism has a triangular base with base length 6 units and height 15 units, and a height of 8 units. So the area of the base is 1/2 * 6 * 15 = 45 square units, and the area of each of the three congruent triangular faces is 1/2 * 6 * 8 = 24 square units. Therefore, the total surface area of this prism is:

45 + 24 + 24 + 24 = 117 square units.

F) This prism has a pentagonal base with side length 5 units and a height of 6 units. To calculate the area of each face, we need to divide the pentagon into triangles. We can do this by drawing diagonals from one vertex to all others. This divides the pentagon into five triangles, each with a base of 5 units and a height of 6 units. The area of each triangle is 1/2 * 5 * 6 = 15 square units. Therefore, the total surface area of this prism is:

5 * 15 + 6 * 5 * 2 = 75 + 60 = 135 square units.

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Answer:

Angles A and W.

Explanation:

Cosine = Adjacent side/Hypotenuse

Answer:

\(f( \frac{3}{ {x}^{2} - 16 } ) = ({\frac{3}{ {x}^{2} - 16 }})^{2} - 7(\frac{3}{ {x}^{2} - 16 }) + 12 \\ = \frac{9}{ {x}^{4} - 32 {x}^{2} + 256 } - \frac{21}{ {x}^{2} - 16} + 12\)

Irene has 49 Books, and Alejandro has 24 books.

Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:

1. Irene has twice as many books as Alejandro plus 1:

  x = 2y + 1

2. The total number of books between Irene and Alejandro is 73:

  x + y = 73

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation (1) into equation (2), we have:

(2y + 1) + y = 73

3y + 1 = 73

3y = 72

y = 24

Now, we can substitute the value of y into equation (1) to find x:

x = 2(24) + 1

x = 49

Therefore, Irene has 49 books, and Alejandro has 24 books.

To verify our solution, we can check if the sum of their books equals 73:

49 + 24 = 7

So, our solution is correct.

In conclusion, Irene has 49 books, and Alejandro has 24 books.

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Answer:

Step-by-step explanation:

Answer:

160% of 35 is 56.

Step-by-step explanation:

\(\frac{56}{y} :\frac{160}{100}\)

y · 160 = 56 · 100

160y = 5600

160y ÷ 160 = 5600 ÷ 160

y = 35

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer: 32 Crocodiles

Step-by-step explanation:

Hippos 24/3=8

Crocodiles 8*4=32 (32 over 1)

32/24=4/3

Answer:

Lucas groups the polynomial (12x^3 + 8x) + (–6x^2 – 4) to factor → 2 (2 x - 1) (3 x^2 + 2)

Step-by-step explanation:

Factor the following:

12 x^3 - 6 x^2 + 8 x - 4

Hint: | Factor out the greatest common divisor of the coefficients of 12 x^3 - 6 x^2 + 8 x - 4.

Factor 2 out of 12 x^3 - 6 x^2 + 8 x - 4:

2 (6 x^3 - 3 x^2 + 4 x - 2)

Hint: | Factor pairs of terms in 6 x^3 - 3 x^2 + 4 x - 2 by grouping.

Factor terms by grouping. 6 x^3 - 3 x^2 + 4 x - 2 = (6 x^3 - 3 x^2) + (4 x - 2) = 3 x^2 (2 x - 1) + 2 (2 x - 1):

2 3 x^2 (2 x - 1) + 2 (2 x - 1)

Hint: | Factor common terms from 3 x^2 (2 x - 1) + 2 (2 x - 1).

Factor 2 x - 1 from 3 x^2 (2 x - 1) + 2 (2 x - 1):

Answer: 2 (2 x - 1) (3 x^2 + 2)

Answer:

Both students are correct because polynomials can be grouped in different ways to factor. Both ways result in a common binomial factor between the groups. Using the distributive property , this common binomial term can be factored out. Each grouping results in the same two binomial factors.

Step-by-step explanation:

this is the sample response provided by edge

Answer:

It would be 15, not the other options.

Step-by-step explanation:

37+11=48 Though, 37 - 11 = 26

11+11=22

22+11=33

15+11=26

x+11=26

Subtract 11 from both sides.

x=15

The mass of the brick to the nearest gram is 2474 grams.

To find the mass of the brick, we need to calculate its volume and then multiply it by its density.

The volume of a rectangular prism is given by the formula V = length × width × height. In this case, the length is 8 inches, the width is 3.5 inches, and the height is 2 inches. So, we have:

V = 8 inches × 3.5 inches × 2 inches

V = 56 cubic inches

Since we need to convert the volume to grams, we also need to convert inches to centimeters. One inch is equal to 2.54 centimeters. Therefore, the volume in cubic centimeters is:

V = 56 cubic inches × (2.54 cm/in)^3

V ≈ 915.6496 cubic centimeters

Now, we can calculate the mass using the formula:

Mass = Volume × Density

Mass = 915.6496 cubic centimeters × 2.7 grams per cubic centimeterMass ≈ 2473.9072 grams

Rounding to the nearest gram, the mass of the brick is approximately 2474 grams.

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W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. If W is a vector space because it can be expressed as W = span {v1,. . . .,vn}. So the option A is correct.

Let W be the set of all vectors

\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\)

where b and d are real.

We can write the matrix as;

\(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]=b\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right]+d\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)

Remember that if aα + bβ ∈ W, ∀ α, β ∈ W and a, b are scalers, then W is a vector space. Let,

\(\alpha=\left[\begin{matrix}1\\ 5\\ 1\\ 0\end{matrix}\right],\beta=\left[\begin{matrix}-2\\ 1\\3\\ 1\end{matrix}\right]\)

These are independent vectors.

bα + dβ ∈ W. where α, β are independent vectors.

That is WE is a span of {α, β}.

Hence, W is a vector space.

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The complete question is:

Let W be the set of all vectors \(\left[\begin{matrix}b-2d\\ 5b+d\\ b+3d\\ d\end{matrix}\right]\) where b and d are real. Determine if W is a vector space and check the correct answer below.

A. W is a vector space because it can be expressed as W = span {v1,. . . .,vn}.

B. W is a vector space because it contains the zero element.

C. W is not a vector space because it does not have additive closure

D. W is not a vector space because it does not have a zero element.

Answer:

39.16% probability of selecting three Democrats and three Republicans

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the people are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Desired outcomes:

3 Democrats, from a set of 8.

3 Republicans, from a set of 8.

\(D = C_{8,3}*C_{8,3} = (C_{8,3})^{2} = (\frac{8!}{3!5!})^{2} = 56^2 = 3136\)

Total outcomes:

6 people from a set of 16.

\(T = \frac{16!}{6!10!} = 8008\)

Probability:

\(p = \frac{D}{T} = \frac{3136}{8008} = 0.3916\)

39.16% probability of selecting three Democrats and three Republicans

The rocket's maximum height is 800 feet. It reached its maximum height at 5 seconds after launch.

To solve this problem, we need to find the vertex of the parabola represented by the equation Y= -16t^2+160t. The vertex of a parabola is the point where the parabola changes direction, from increasing to decreasing or vice versa.

The vertex of the parabola is given by the following formula:

(-b/2a, c - b^2/4a)

In this case, the value of b is 160 and the value of a is -16. Plugging these values into the formula, we get the following:

(-160/2(-16), 800 - 160^2/4(-16))

(5, 800)

Therefore, the rocket reached its maximum height at 5 seconds after launch. The maximum height is 800 feet.

Given the two points:

The slope (m) is found by using the formula shown below:

To find the slope, we substitute the given points:

The slope is 3.

Answer:

3*10^4

Step-by-step explanation:

\(9 \times {10}^{2} = 900 \\ 3 \times {10}^{ - 2} = 0.03 \\ 900 \div 0.03 = 30000 \\ 30000 = 3 \times {10}^{4} \)

Answer:I believe 786.34

Step-by-step explanation:

You divide 180 by 73.25 which is 2.46, then multiply this number by your 320 minutes to get the answer

Answer:

$128

Step-by-step explanation:

73.25/180 = 7325/18000 = 0.4

0.4 * 320 = 128

Hope this helps!      :3

plz mark as brainliest!

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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