Kilometers Walked for Charity
12
3
3
6 7 9 9
13
1
1
4 5
5
14
0
0 2
3
3
3
8 8 9
15
2
2
2 2
2
2
3 5 5 7
16
4
5
5 9
ON
17
3
5
Key: 123 means 12.3
a. Describe how to find the range of the data set.
b. Find the range.

Out of the 25 sheets of construction paper, 10% of each sheet is a secondary color. The numbers provided, such as 8, 10, 12, and 15, seem to represent the quantities of secondary-color sheets, but the specific distribution is not clear. Therefore, without further information, it is not possible to determine the exact number of secondary-color sheets.

The problem states that 40% of the sheets of construction paper are secondary colors. However, the given numbers (8, 10, 12, 15) do not directly correspond to the 40% distribution or the 25 total sheets. The numbers seem to represent quantities of secondary-color sheets, but the specific allocation is not clear.
To calculate the number of secondary-color sheets, we would need the distribution percentages or exact quantities for each secondary color (e.g., red, blue, green). Without this information, we cannot determine the exact number of secondary-color sheets.
Therefore, based on the provided information, we cannot determine the precise number of secondary-color sheets out of the 25 sheets of construction paper.

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Answer:

To simplify the expression, we need to use the order of operations. In this case, we should perform the division before the subtraction.

So, we have:

-24/(-8) - 13

Simplifying -24/(-8), we get:

3 - 13

Now, we can perform the subtraction:

3 - 13 = -10

Therefore, -24/-8 - 13 = -10

\( {x}^{2} - 16x + 64 = \)

\( ({x - 8})^{2} \)

Thus :

\(C = 64\)

Answer:

its $125

thank me later <3

The cost of labor, per hour, will be equal to $125.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Tristan needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.75 hours and charged him $50 for parts.

The cost for labor per hour is,

TC = 50 + 4.75x

643.75 = 50 + 4.75x

x = ( 643.75 - 50) / 4.75

x = $125

Therefore, the cost of labor, per hour, will be equal to $125.

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Based on the information provided, the equation that can be used to find how much money, c, each charm bracelet cost at full price is 5(c – 4) = 45.

An equation is its simplest form in algebra, refers to a mathematical statement that represents that two mathematical expressions are equal. For example, 2x + 6 = 14 is an equation, where 2x + 6 and 14 are two expressions that are separated by an equal sign. In the given case, as each bracelet cost is reduced by $4 from the full price, and the total cost of 5 identical charm bracelets is $45, the equation that can be used is given by:

5(c – 4) = 45

Solving the equation,

5(c – 4) = 45

c – 4 = 9

c = 9 + 4 = $13

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The formula for the distance between two points

Applying to points

The area of the acute triangle can be found by the formula: area of acute triangle = (1/2) × b × h.

According to Pythagoras theorem the triangle is termed as acutely angled if the square of its longest side is less than the sum of the squares of two other smaller sides. Let a, b, and c are the length of sides of a triangle, where side "a" is the longest, then the given triangle is acutely angled if and only if a^2 < b^2 + c^2.

The area of the acute triangle can be calculated by the formula:

         area of acute triangle = (1/2) × b × h

         b = base, and

         h = height

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The length l of an edge of each small cube if adjacent cubes touch but don't overlap is equal to the distance between the two parallel faces of the cube. It is also equivalent to the distance between the centers of opposite faces of the cube.

Let's assume that the length of each side of the cube is l and the distance between the centers of the opposite faces is L. The Pythagorean theorem can be used to determine L in terms of l. By drawing a line from the center of one face to the center of the opposite face through the center of the cube, you can form a right-angled triangle. L, l, and the diagonal of the face are the lengths of the sides of this triangle. Using the Pythagorean theorem, we getL^2 = l^2 + l^2L^2 = 2l^2L = l√2Therefore, the distance between the centers of the opposite faces of the cube is equal to l multiplied by the square root of 2.

Therefore, the length l of an edge of each small cube if adjacent cubes touch but don't overlap is equal to the distance between the two parallel faces of the cube, which is also equivalent to the distance between the centers of opposite faces of the cube. The length of the cube's edge is equivalent to the height of a cube with an edge of l that has two opposite vertices as the centers of the faces. The diagonal of the cube is equivalent to the hypotenuse of the right-angled triangle that is formed by the height and the side of the cube. It follows that the length of the diagonal of the cube is equal to the square root of 2 times the length of the side of the cube. Hence, the diagonal of a cube with sides of length l is l times the square root of 3.

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∠c = 100° (Since ∠c and ∠100° are opposite angles)

∠c - ∠b = 70° (∠b =30° since ∠b and ∠30° make 60°)

∠a = 30° (Since ∠a and ∠30° vertically opposite angles)

What are opposite angles?

Angles, where two lines cross that are directly opposite one another, are known as opposite angles. The vertex, where the lines come together to produce the angle, is the location of the junction. Vertical angles are another name for opposite angles. Congruent angles are those that have opposite angles that are equal or have the same measurement. For instance, A and C are referred to be opposite angles in the parallelogram ABCD. B and D are the opposing angles in a similar way.

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Answer:

£694.575

Step-by-step explanation:

Using the formula for calculating the compound interest expressed as;

A = P(1+r)^t

P is the principal = £600

r is the rate = 5% = 0.05

t is the time = 3 years

Substitute into the formula;

A = 600(1+0.05)^3

A = 600(1.05)^3

A = 600(1.157625)

A = 694.575

hence the amount in the account after 3 years is £694.575

The word problem for the company is:

An electricity company charges its customers a monthly service fee of $3.50 plus 8.3 cents per kWH. Find the total cost for a month if 250kW is used.

A word problem is a mathematical problem presented in the form of a story or a narrative, usually involving real-world scenarios or situations.

Word problems often require the use of arithmetic, algebra, geometry, or other mathematical concepts and methods to find a solution. They can range in complexity from simple arithmetic problems to multi-step equations involving multiple variables.

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The probability of p(2 aces) is greater than the probability of p(3 diamonds).

Probability is the chance of happening an event or incident. The probability of an event can be calculated by the ratio of the number of favorable events to the total number of events in that sample space.

A deck of cards always has 52 cards.

Out of those 52 cards, there are 4 different aces.

The deck of cards also contains 13 diamonds.

Therefore, the probability of p(2 aces) is the probability of getting at least 2 aces in that 5-card hand is = 2/4 = 1/2 = 13/26.

Now, the probability of p(3 diamonds) is the probability of getting at least 3 diamonds in that 5-card hand is= 3/13 = 6/26.

If we compare these two probabilities, it is clear that the probability of p(2 aces) is greater than the probability of p(3 diamonds).

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Answer:

\(\£8:\£32\)

Step-by-step explanation:

\(\frac{40}{1+4}\)

\(\frac{40}{5}\)

\(=8\)

\(1:4\)

\(1 \times 8:4 \times 8\)

\(8:32\)

Answer:

Tim gets £8

Sam gets £32

Step-by-step explanation:

Ratio is 1:4

So, Total parts are 1+4 = 5

Dividing it by total parts

= \(\frac{40}{5}\)

= £ 8

So, Tim gets £8

But,

Sam gets 4(£8)

= Sam gets £32

The surface given by the equation \(4x^2 - 16y^2 + z^2 = 16\) is a hyperboloid of two sheets. It consists of two distinct surfaces that intersect along the z-axis and open upwards and downwards.

To identify the surface defined by the equation \(4x^2 - 16y^2 + z^2 = 16,\) we can analyze the equation and determine its geometric properties.

First, let's rewrite the equation in a standard form:

\(4x^2 - 16y^2 + z^2 = 16\)

By rearranging terms, we have:

\((x^2/4) - (y^2/1) + (z^2/16) = 1\)

Comparing this equation to the standard form of a hyperboloid, we can see that the x and z terms have positive coefficients, while the y term has a negative coefficient. This indicates that the surface is a hyperboloid of two sheets.

The trace of the surface can be obtained by setting one variable constant and examining the resulting equation. Let's consider the traces in the xz-plane (setting y = 0) and the xy-plane (setting z = 0).

When y = 0, the equation becomes:

\(4x^2 + z^2 = 16\)

This represents an ellipse in the xz-plane centered at the origin, with the major axis along the x-axis and the minor axis along the z-axis.

When z = 0, the equation becomes:

\(4x^2 - 16y^2 = 16\)

This represents a hyperbola in the xy-plane centered at the origin, with the branches opening along the x-axis and the y-axis.

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identify the surface from the following equation \(4x^2-16y^2 z^2=16\)

The steps to construct a parallelogram using a ruler and a compass are;

1. Draw a starting line segment l linger than 8 cm.

2. Mark point K on the line segment.

3. Widen the compass to a radius of 8 cm using the ruler.

4. Place the compass at point K and with the 8 cm radius mark point L on the line l.

5. At point L construct a 45° angle as follows;

The above steps bisects the 90° angle of the perpendicular lines.

6. Adjust the radius of the compass to give an opening of 6 cm and from point L draw an arc to intersect XL at M.

7. At point M construct a line YM at 45° angle to the line l.

8. From point M draw an arc to intersect YM and label the point as point N.

9. Join point M and N to complete the construction of the parallelogram KLMN.

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Answer:

There are 50 hot dogs and 150 sodas.

Step-by-step explanation:

Let there are s sodas and h hot dogs.

The number of sodas sold was three times the number of hot dogs sold.

ATQ,

s+h = 200 ...(1)

s = 3h ...(2)

Put the value of s in equation (1).

3h +h = 200

4h = 200

h = 50

Put the value of h in equation (2).

s = 3(50)

s = 150

Hence, there are 50 hot dogs and 150 sodas.

The statement of the given hypothesis is False.

What is hypothesis testing?

Hypothesis testing is a statistical analysis that looks at a sample to see if the findings are representative of the population. Depending on the type of data used and the goal of the research, the analyst will choose a certain approach.

Given:  A researcher wants to test the hypothesis that on average girls perform better on standardized tests than boys.

">" sign implies that right-tailed test i.e., one-tailed right-sided.

Hence, the given statement is False.

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Answer:

Step-by-step explanation:

$0.50 per centimeters i think

Answer:

Pugs are natural cuddlers.

Pugs tend to be smart, observant, and quick learners. ...

Pugs are relatively low-maintenance.

With pugs, a little exercise goes a long way.

Pugs get along well with other animals

Step-by-step explanation:

please mark me as brainlist

Answer:

Her answer is right .... ....

Answer:B

Step-by-step explanation:

B is the answer

Answer:

i do no

Step-by-step explanation:

Answer:

6 Celsius

Step-by-step explanation:

Initial temperature at 12pm is 0 Celsius.

Rises by 6 (add by 6).

\(0+6\)

\(6\)

The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.

Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:

= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3

= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]

= (1/3) × [(9/2 + 6) - 0]

= (1/3) × (21/2)

= 7/2

Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.

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Answer:

angle PSQ=25°

Step-by-step explanation:

angle RQS=angle PSQ.......... alternate angle

so angle PSQ=25°

Answer:

25 degrees

Step-by-step explanation:

If it is a parallelogram, then the sides PS and QR will be parallel, then ∠PSQ and ∠RQS are alternate interior angles, and hence they will be congruent. That is, ∠PSQ ≅ ∠RQS = 25°.

But this is not the confirmation that this would be parallelogram as it could be trapezoid. The given condition is must but not sufficient to prove it.

Hope this helps. Do mark me as BRAINLY. thanks

Answer:

570

Step-by-step explanation:

yan sagot ko ehh balakajan

360 x 30

Express 30 as the product of 2 numbers:

30 = 10 x 3

(360 x 3 ) x 10

1,080 x 10

10,800

i got something different

Answer:

the answer is 96°

Step-by-step explanation:

it is an isosceles triangle as it's 2 sides are equal.

for an isosceles triangle, the angles made by the equal sides with the third side are equal.

and the sum of all angles in a triangle = 180°

42 + 42 + x = 180

x = 180 - 84

X = 96°

Answer:

Depends. See text.

Step-by-step explanation:

Surface area or volume?

Ther are two options.

Case 1: we know nothing about the green angles I've marked in green. Data is insufficient to determine the perimeter of the trapezoid base, and then to calculate the surface area.

Case 2:Unlikely, since the right angles are marked everywhere else when not obvious: the base of the prism is a right trapezoid, ie two of the angles measures 90°. In that case we can easily find the length of the missing side with pythagorean theorem: \(l=\sqrt{1+3^2}= \sqrt{10}\). Perimeter becomes \(2p=6+7+3+\sqrt{10}=16+\sqrt{10}\). Base area is \(A_b=\frac12(6+7)\times 3 = \frac{39}2\) And the total surface becomes \(S= 2A_b+2pH = 39+(16+\sqrt{10})20 = 39+320+20\sqrt{10}=359+20\sqrt{10}\)

Or is it the volume you want? Way simpler, we calculate the area of the prism (see above) and multiply it by the height of the solid:

\(V = A_bH = \frac{39}2\times 20 = 390\)