Meru Peak is 765 m higher than Mt. Kilimanjaro. If the sum of their heights is 12,555 m, find the height of Mt. Kilimanjaro.

Answer:

$25,226

Step-by-step explanation:

We know that one billion is equal to 1,000 millions

So, we first multiply 80.8 by 1,000 so we can use millions as our unit.

Which gives you $80,800

So, East Dakota spent $80,800 million in 2016 for the 3.203 million people. Right now, we just ignore the "million" part and divide 80,800 by 3.203 which is around 25,226.35029659694

Now we just round it to the nearest dollar and since the tens place is only at 3, we round down.

Hence, our answer is $25,226

The values of c and d that define the translation are:

c = 4

d = 0

First we know that we have a reflection over the x-axis, let's study the coordinates of the botom vertex of triangle A.

It starts at (-3, -4), after a reflection over the x-axis we change the sign of the y-coordinate.

We will get the point (-3, 4)

And the top vertex of triangle B is at (1 , 4)

Then we have a translation of:

(1, 4) - (-3, 4) = (1 + 3, 4 - 4) = (4, 0)

Then the translation (c, d) is (4, 0), that means that:

c = 4

d = 0

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9514 1404 393

Answer:

  (g·f)(9) = 496

Step-by-step explanation:

One way to do this is to find the values of g(9) and f(9).

  g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248

  f(9) = -(9) +11 = 2

Then ...

  (g·f)(9) = g(9)·f(9) = 248·2

  (g·f)(9) = 496

Check the picture below.

Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

Answer: The answer will be -4

Answer:

16

Step-by-step explanation:

2 times 2 = 4 times 4= 16 times 1= 16

Answer:

16

Step-by-step explanation:

Answer:

a. She ran 7 days

b. 5 miles

Step-by-step explanation:

a. The line plot shows how many miles Katrina ran last week not days however  on the line plot there are 7 x's on it, if she ran once a day, then she ran 7 days last week

b. I'm not sure which equation that you would use but I done something similar to this:

1/4 + 1/2(2) + 3/4 + 1(3)=5

Answer:

DC = 16.5, CM = 16.5

Step-by-step explanation:

The centroid, C, would be the midpoint of DM if DM was a line between the midpoint of a side and it's opposite vertex. So DC and CM are half of DM. Hope this helps.

Answer:

We cant see the writing it is too small

Step-by-step explanation:

The given shape of the distribution is not symmetric.

Given that, a box plot shows donations in dollars to charity.

We need to describe the shape of the distribution.

Donations to Charity ($) =

20 40 60 80 100 120 140 160 180 200 220

so, as we can see,

The shape of the distribution is not symmetric since the lengths of each box and whisker are not the same. There is an outlier at 220.

Hence, the given shape of the distribution is not symmetric.

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The blanks that are missing in the sequence are -3 and 11

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

The blanks in the sequence

When listed out, we have

_, _, 25, 39

Assuming that the sequence, is an arithmetic sequence, then we have

Common difference = 39 - 25

Common difference = 14

This means that

Previous term = 25 - 14 = 11

Firs term = 11 - 14 = -3

So, the missing terms are -3 and 11

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The solution for x, is x= (3m - b)/2. (Option-d)

To solve for x in the given equation, m=(2x+b)/3, we can start by isolating x on one side of the equation.

First, we can multiply both sides of the equation by 3 to get rid of the denominator:

3m = 2x + b

Next, we can subtract b from both sides of the equation:

3m - b = 2x

Finally, we can divide both sides of the equation by 2:

x = (3m - b)/2

It's important to note that this is a linear equation with one unknown variable, and we can use algebraic methods to solve for the unknown variable. This equation may arise in many fields of study, including physics, engineering, and economics, among others.(Option-d)

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Answer:

(0, 3)

\(x=0\\y=3\)

Step-by-step explanation:

You can rewrite the first equation as \(y=3-x\). Then, you can substitute into the second equation as follows:

\(x-3(3-x)=-9\\x-9+3x=-9\\4x=0\\x=0\\\)

Now, we can substitute this value into the first equation.

\(x+y=3\\0+y=3\\y=3\)

Writing this in the form of \((x, y)\) will yield \((0, 3)\).

Remember when setting this out, align your equal signs and give good mathematical reasoning as shown above.

Hope this helps you!

The three-dimensional shape is formed would be as;  rectangle

Consider the square that has to be rotated about the axis as shown in the picture.

In the attached diagrams this square is black rectangle ABCD.

While rotating each point of the square will describe the circle. The circles with the greatest radii will be circles made by the points from the side that is opposite to the side on the axis of rotation.

We can take that point in any of the two surrounding quadrants. Example, if the point is on the positive x axis, then it can taken as of first quadrant or fourth quadrant.

The formed figure appears to be a rectangle.

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Answer:

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Step-by-step explanation:

Answer: 12

Step-by-step explanation: each side is 3, and there are 4 sides so 3*4=12

Answer:- The answer is letter B, c=1.75n

Step-by-step explanation: Hope this helps.

Given:

Two points are (6, 7) and I(-7,-6).

Point G lies \(\dfrac{1}{2}\) of the way along Hl.

John says that point G is located at the origin.

To find:

Whether John is correct or not.

Solution:

Point G lies \(\dfrac{1}{2}\) of the way along Hl. I means point G is the midpoint of HI.

\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

\(G=\left(\dfrac{6-7}{2},\dfrac{7-6}{2}\right)\)

\(G=\left(\dfrac{-1}{2},\dfrac{1}{2}\right)\)

The location of point G is at \(\left(\dfrac{-1}{2},\dfrac{1}{2}\right)\), which is not equal to origin, i.e., (0,0).

Therefore, John is incorrect.

Answer:

(-2,-4) or (2,4) depending on which one you start on.

Step-by-step explanation:

if you start from the highest point it is (-2,-4)

And if you start from the lowest point (2,4)

Answer:

See the image below for answer:)

Step-by-step explanation:

Answer:

B. (1 ± sqrt(33)) / 4

Step-by-step explanation:

the 2 solutions for a quadratic equation

ax² + bx + c = 0

are defined as

x = (-b ± sqrt(b² - 4ac)) / 2a

in our example here we have

a = -2

b = 1

c = 4

=>

x = (-1 ± sqrt(1 + 32)) / -4 = (1 ± sqrt(33)) / 4

as we can easily divide top and bottom by -1 to turn the -1 and -4 into positive numbers, and the second top part, the square root, is a ± factor anyway. just withing the sign dues not change the fact that is is still a ± factor (both signs apply).

and now it is clear, it has to be option B.

the others disqualify because they have either no division by any form of 4, or the "1" and the "4" have different signs. but our equation shows they need to have equal signs (either both negative or both positive).

Answer: 32

Step-by-step explanation:

a=4×8=32

\(\frac{x}{5} +3=2\\\frac{x}{5} =-1\\x=-5\)

Let me know if you need any clarification, I just don't have much to say on a simple question like this

Step-by-step explanation:

sorry the quality of the photos are not good budy but i tried to do best.

Here we have a problem with translations.

We will find that the correct option is C: g(x) = x^2-6x+14

We can define:

Horizontal translation:

For a general function f(x) an horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the shift is to the left

If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x) a vertical translation of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards

If N is negative, the shift is downwards.

Here we know that:

Function g(x) is a transformation of f(x) = x^2

First, we apply a translation to the right of 3 units, then at the moment we have:

g(x) = f(x - 3)

Then we translate the graph down 5 units, then:

g(x) = f(x - 3) - 5

Now we can replace it by the actual function to get:

g(x) = (x - 3)^2 - 5

      =  x^2 - 2*3*x + 9 - 5

      = x^2 - 6x + 4

Then the function is:

g(x) = x^2 - 6x + 4

Thus the correct option is C.

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The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

Answer:

extraneous: 2, 5, 7

not: 1, 3, 4, 6, 8

Step-by-step explanation:

ones that have root of an even number and equal a negative are extraneous

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:

\(22.6 < \mu < 24.4\)

The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:

\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)

Looking at the z-table, the critical value for a 95% confidence interval is given as follows:

z = 1.96.

The lower bound of the interval is then given as follows:

\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)

The upper bound of the interval is then given as follows:

\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)

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Answer: \(7x+10\)

Step-by-step explanation:

Combine the terms;

\(-3+7x+13\\(7x)+(-3+13)\\7x+10\)