Ella is stacking identical cube-shaped boxes.
She stacks 8 boxes to make a tower that is
128 cm tall. She adds 1 more box to the
tower. How tall is the tower now? Give your
answer in centimetres (cm).

Answer:

D. 1.49

Step-by-step explanation:

_________________

Answer:

D. 1.49

Step-by-step explanation:

That is the answer, I have no explanation why.

The work done by a force can be calculated by taking the dot product of the force vector with the displacement vector whether the force and displacement vectors are consecutive or anti-congruent.

The formula of the dot product is-

A ⋅ B = |A| |B| cos(θ)

Here A and B are the vectors  |A| and |B| which represent their magnitudes, and θ is the angle between them.

The angle between the force and displacement vectors is either 0 degrees (cos(0) = 1) or 180 degrees (cos(180) = -1) depending on whether they are parallel or antiparallel. The dot product becomes: in these circumstances.

A ⋅ B = |A| |B| (1) = |A| |B| (cos(0)) = |A| |B|

When the vectors are parallel or antiparallel, the angle is 0 or 180 degrees, respectively, and the cosine term is 1 or -1. This occurs since work done is defined as the dot product of the force and displacement vectors multiplied by the cosine of the angle between them.

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Explanation:

Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.

Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.

Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.

Choice D is ruled out for similar reasoning as choice A. Recall that \(\sec(x) = \frac{1}{\cos(x)}\)

Answer:

0 ≤ sin x < 1/2.

Step-by-step explanation:

sin π6 = 1/2

sin 5π/6 = 1/2

sin 0 and sin 180 = 0

The dotted line indicates that the value of the sine is less than 1/2 and the solid line indicates that value  is greater or equal to zero.

So the inequality is 0 ≤ sin x < 1/2

Answer:

S = (-2, -3)

U = (-5, -9)

T = (3, -3)

Step-by-step explanation:

      The x-value of the coordinate point is responsible for the shift left and right. Right is positive on a coordinate plane, so we will add 5 to each x-value.

S = (-7, -3) ➜ (-7 + 5, -3) ➜ (-2, -3)

U = (-10, -9) ➜ (-10 + 5, -9) ➜ (-5, -9)

T = (-2, 3) ➜ (-2 + 5, -3) ➜ (3, -3)

The amount of time spent in the bowl is 1 1/4 hours

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

Total time = 1 1/2 hours

Time to rise = 1/4 hour

This means that

Time spent in the bowl = Total time - Time to rise

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

Time spent in the bowl = 1 1/2 - 1/4

Evaluate the like terms

Time spent in the bowl = 1 1/4

Hence, the time is 1 1/4 hours

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer:

• =multiplication

question 7:

1/2•5•x=20

x=8cm

question 8:

answer:y=10cm.

Answer:

1. 25cm² x

2. 36cm² y

3. 18cm² z

The probability distribution that would be used in this scenario is the binomial distribution.

The binomial distribution is used to calculate the probability of a certain number of successes in a fixed number of independent trials, given a known probability of success in each trial. In this case, the number of successes is owning stocks, the number of trials is 10 people, and the probability of success is one in four adults owning stocks.

In this case, the probability that exactly three out of ten people own stocks, given that one in four adults own stocks, you would use the binomial probability distribution. The reasoning for this is because the binomial distribution is used when there are a fixed number of trials (in this case, 10 people), each trial has only two possible outcomes (owning stocks or not owning stocks), and the probability of success (owning stocks) is the same for each trial (1 in 4 or 0.25).

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Therefore , we can transform these data into bar graph with the help of given values.

A non-linear data structure consisting of nodes, or vertices, and edges is known as a graph. The nodes, which are sometimes referred to as vertices in a graph, are connected by any two edges. This graph has a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, 2, 5, and 4, 50.

Here,

The gene plays the role of pigment production .

Yes , The presence of mutagens , temperature , light cycle can influence the fur color.

Mcl gave has ullets it runs in the evolution chart . So the dominant truit mild always present in matured solution.

Therefore , we can transform these data into bar graph with the help of given values.

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Answer:

Shape 1 = l×b

= (6x²y) × (4y²)

Shape 2 = l×b

= (6x²y+2x²y)×(y²)

= (8x²y) × y²

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

  A.  The volumes are the same, based on Cavalieri's principle.

Step-by-step explanation:

Cavalieri's principle tells us the volumes of solids will be identical if their cross sectional areas are identical at every height.

A right cylinder and an oblique cylinder of the same height and radius will both have circular cross sections of the given radius at any height. Since the radius is the same, the area of the circle is the same. Hence the requirements of Cavalieri's principle are met, and the cylinders have the same volume.

There were 16 ounces of oil in the lantern at noon.

Let's start by defining the variables we know. We'll call the amount of oil in the lantern at noon "x," the rate at which the oil burns "r," and the time elapsed from noon to 2 pm "t." We know that the amount of oil in the lantern at 2 pm is 12 ounces, and at 4 pm, it's 8 ounces.

We can use the rate of oil burning to create an equation relating the amount of oil in the lantern to the time elapsed. The equation is:

x - rt = y

where "y" is the amount of oil in the lantern at any given time after noon. We can solve for "x" by plugging in the values we know at 2 pm:

x - 2r = 12

And at 4 pm:

x - 4r = 8

Now we have two equations with two variables. We can solve for "r" by subtracting the second equation from the first:

2r = 4

r = 2

Now we can plug in "r" to one of the equations to solve for "x." Let's use the first equation:

x - 2(2) = 12

x - 4 = 12

x = 16

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Step-by-step explanation:

We can rearrange line M so it is in y = mx + b form.

2y - 10x + 3 = 0 -> 2y = 10x - 3 -> y = 5x -3/2. Since line L and line M have the same slope (which is the m value, 5), they are parallel.

I hope this helps! :)

Answer: they aren't parallel

Step-by-step explanation:

2y-10x+3=0

2(5x+1)-10x+3=0

10x+2-10x+3=0

10x+5-10x=0

0x+5=0

No such thing as cot (61,4). I think you meant to say cot (61.4°). See the difference?

So, cot (61.4°) is approximately -0.139844.

Rounded to 3 decimal places we get -0.140.

Answer:

$150

Step-by-step explanation:

The given equation is 20L + 25G -10.

We need to calculate 4 gardens (G) and 3 lawns (L).

So substitute:

= 20(3) + 25(4) -10

= 60 + 100 - 10

= 160-10

= $150

Answer:

4sqrt(3)

Step-by-step explanation:

If the triangle is equilateral, the hypotenuse is 2x

We can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + 12^2 = (2x)^2

x^2 + 144 = 4x^2

144 = 4x^2 -x^2

144 = 3x^2

48 = x^2

Taking the square root of each side

sqrt(48) = sqrt(x^2)

sqrt(16*3) = x

4 sqrt(3) =x

JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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Answer:

147/100

Step-by-step explanation:

This is the simplest form it can be placed in! It cannot be simplified any further whatsoever.

Answer:

1 \(\frac{47}{100}\)

Step-by-step explanation:

147% as a fraction would be 147/100. since we need to put it in simplest form, the answer would be 1 \(\frac{47}{100}\)

Answer:

247+13=260

Step-by-step explanation:

so we have hmmm 4 sets above, hmm let's check say the second set, the triangle with sides 5, 9, 3.  Check the picture below.

we have three sides, let's look at the two smaller sides first, 5 and 3.

if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side?  Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 5 - 3 = 2.  However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle.  So whatever the third side may be, it must be greater than 2.

Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 5 = 8.  However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle.  So whatever the third side may be, it must be less than 8.

so for those reasons the third side can't be 9, it won't work for a triangle, even 8 is not good, so it must be less.

Now, if we look at the 1st set and 4th set, we end up with the same dilemma, the longest side is too long.

If we take a looksie at the 3rd set however with small sides of 6 and 7, it gives us a third side that must be more than 1 but less than 13, so 7 fits just nicely, so that one works.

Answer:

D' (-4,6) E'(-4,4) F'(-7,4) G'(-5,6) that is your image so its the new points that you need to plot

Step-by-step explanation

D(1,4)          E(1,2)        F(-2,2)           G(0,4)

(1-5,4+2)     (1-5,2+2)   (-2-5,2+2)     (0-5,4+2)

D' (-4,6)      E'(-4,4)     F'(-7,4)            G'(-5,6)

and yeah hope I helped

We need to add the first 4 terms of the series in order to find the sum to the indicated accuracy of 0.00005.

The series ∑n=1[infinity]​(−1)n−1n49​ is an alternating series, which means that the terms alternate in sign and decrease in size.

This type of series converges,and the error   in approximating the sum with the first n terms is less than or equal to the absolute value of the (n+1)th term.

In this case, we are given that the desired accuracy is 0.00005.

The (n+1)th   term of the series is (-1)^n / n⁴⁹, so we need to find the smallest n such that (-1)^n / n⁴⁹ <0.00005.

Using a calculator, we can find that n = 4   satisfies this condition. Therefore, we need to add the first 4 terms of the series in order to find the sum to the indicated accuracy.

The first 4 terms of the series are -

1/1⁴⁹ = 1

-1/2⁴⁹ = -1/1610612736

1/3⁹ = -1/29859862048

-1/4⁴⁹ = 1/209227898880

The sum of these 4 terms is 0.12345, which is accurate to within 0.00005

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Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Answer:

The weight in kilograms of a 150 pound person is 68.039 kg

Step-by-step explanation:

Weight = 150 pounds.

We need to convert this to kg,

Now, 1 pound = 0.453592 kg.

Then, 150 pounds will be,

150 pounds = 150(0.453592) kg

So, 150 pounds = 68.039 kg

The weight of a 150 pound person is approximately 68.04 kilograms.

To convert the weight of a person from pounds to kilograms, we can use the conversion factor of 1 pound = 0.4536 kilograms.

Given that the person weighs 150 pounds, we can multiply this value by the conversion factor to find the weight in kilograms:

Weight in kilograms = 150 pounds * 0.4536 kilograms/pound

Weight in kilograms = 68.04 kilograms

Therefore, the weight of a 150 pound person is approximately 68.04 kilograms.

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Answer:

The Second Number is 90.

Step-by-step explanation:

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The function g(x,y)=−3x^2−2y^2+3x−4y+3 has a saddle point at (1,1).

Step 1: Find the partial derivatives of g(x, y): g_x = -6x + 3 , g_y = -4y - 4 Step 2: Find the critical point(s): To find the critical point(s), we set the partial derivatives equal to zero and solve the system of equations: -6x + 3 = 0 , -4y - 4 = 0. From the first equation, we have -6x = -3, which gives x = 1/2. From the second equation, we have -4y = 4, which gives y = -1.

Therefore, the critical point is (1/2, -1). Step 3: Find the second-order partial derivatives: g_xx = -6 , g_yy = -4 , g_xy = 0. Step 4: Find the Hessian matrix: The Hessian matrix is a matrix of the second-order partial derivatives: H = [[g_xx, g_xy], [g_xy, g_yy]] = [[-6, 0], [0, -4]]. To classify the critical point, we can use the determinant and the trace of the Hessian matrix: d = det(H) = (-6)(-4) - (0)(0) = 24, t = tr(H) = -6 + (-4) = -10. Since d > 0 and t < 0, the critical point (1/2, -1) is a saddle point. In summary, the function g(x, y) = -3x^2 - 2y^2 + 3x - 4y + 3 has a saddle point at the critical point (1/2, -1).

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The additional information needed to evaluate the adequacy of the sample size, the type of confirmation used, and the percent of accounts confirmed will depend on the specific context of the study or investigation.

In general, some important pieces of information to consider may include the size and diversity of the population being studied, the level of accuracy or precision desired, the expected effect size or variability of the variables being examined, and any potential biases or confounding factors that could impact the results. Additionally, information about the study design, sampling method, and data analysis techniques may also be important to consider.

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The measure of the angle JKL as per the attached diagram is equal to 97 degrees.

As per in the question,

Diagram is attached.

Angle JKL is linear pair angle with given angle of measure 83 degrees.

Sum of the pair of linear pair is always equal to 180 degrees.

Let 'x' be the measure of angle JKL, we get,

83° + m ∠JKL = 180°

Subtract 83° from both the side of the equation we get,

⇒ 83° - 83° + m ∠JKL = 180° - 83°

⇒ m ∠JKL = 97°

Therefore, the measure of the angle JKL as per the attached diagram is equal to 97 degrees.

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