thanks and 20 points
How many elves are helping Santa?
There are a total of 58 reindeer and elves helping Santa get ready for Christmas. Each reindeer has 4 legs and each elf has 2 legs. Frosty the Snowman, who doesn’t have any legs, counted 158 legs when all the reindeer and elves were in Santa’s workshop helping Santa. How many elves are helping Santa? Enter your answer as a number only

Answer:

1. 69°

2. 97°

3. 145°

4. 150°

5. 128°

6. 74°

Step-by-step explanation:

To find the angle measure of the missing angle, we have to note that the angle measures of a quadrilateral will all equal up to be 360°.

If we know 3 out of the 4 angles and the sum of the angles, we can add up the angles we know then subtract that from 360.

Number 1:

\(87+112+92=291\)

\(360-291=69\)

Number 2:

\(124+71+68=263\)

\(360-263=97\)

Number 3:

\(95+46+74=215\)

\(360-215=145\)

Number 4:

\(72+49+89=210\)

\(360-210=150\)

Number 5:

\(69+65+98=232\)

\(360-232=128\)

Number 6:

\(77+123+86=286\)

\(360-286=74\)

Hope this helped!

Answer:

CT = 22

Step-by-step explanation:

J is the midpoint of CT, so the two parts made by placing J are congruent.

CJ = 3x + 8

JT = 6x + 5

Our equation would be:

3x + 8 = 6x + 5

8 - 5 = 6x - 3x

3 = 3x

1 = x

Now, we just plug in x as 1:

3 + 8 = 11

6 + 5 = 11

11 + 11 = 22

So:

CT = 22

Hope this helps!

Answer:

12

Step-by-step explanation:

Divide both sides by 6 to isolate x

Answer:12

Step-by-step explanation:

divide 6 from 72

The value of x in the regular polygon is 15.4.

The value of x is calculated as follows;

The sum of the interior angles of a polygon with n sides is given by the formula;

(n-2) x 180

Since the regular polygon in question can be decomposed into 46 triangles, it has 46 x 3 = 138 sides.

The value of each interior angle is calculated as;

= (n - 2) x 180 / n

= (138 - 2) x 180 / 138

= 169.6⁰

9.5x + 26.2 = 169.6

9.5x = 143.4

x = 15.1

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The steps of the analytical problem-solving model include: identifying the problem, exploring alternatives, building an implementation plan, implementing a solution, and evaluating the situation.

Analytical problem solving, as we've defined it above, refers to the approaches and methods you use rather than the particular issue you're trying to resolve.

Analytical issue solving is a crucial prerequisite for problem resolution; the problem itself does not determine whether you need it.

Analytical problem solving involves recognising a problem, investigating it, and then creating ideas (such as causes and solutions) around it.

Solving analytical problems calls for inquiry, examination, and analysis that encourages additional study of the subject (including causality, symptoms, and solution).

According to the steps involved in analytical problem solving model:

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A BREP object is easily rendered on a graphic display system. A CSG object is always valid because its surface is closed and orientable and encloses a volume, provided the primitives are authentic in it.

Constructive solid geometry (CSG; formerly called computational binary solid geometry) is a technique used in solid modeling. Constructive solid geometry allows a modeler to create a complex surface or object by using Boolean operators to combine simpler objects potentially generating visually complex objects by combining a few primitive ones.

In 3D computer graphics and CAD, CSG is often used in procedural modeling. CSG can also be performed on polygonal meshes, and may or may not be procedural and/or parametric.

Contrast CSG with polygon mesh modeling and box modeling.

Constraint-based modeling is a scientifically-proven mathematical approach, in which the outcome of each decision is constrained by a minimum and maximum range of limits (+/- infinity is allowed). Decision variables sharing a common constraint must also have their solution values fall within that constraint's bounds.

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N has a value οf -3 when graph has a minimum pοint at (0,-3) and runs thrοugh pοints (-3, 6) and (3, 6)

Given that (0, -3) is the quadratic graph's smallest pοint, the equatiοn fοr the quadratic functiοn can be written as fοllοws:

f(x) = a(x - 0)² - 3

where the shape οf the parabοla is determined by the cοnstant "a". Since the parabοla widens upward (due tο the presence οf a minimum pοint), we can cοnclude that "a" is pοsitive.

We alsο knοw that the quadratic functiοn passes thrοugh pοints (-3, 6) and (3, 6) οn its path. This is what we get when we plug these values intο the f(x) equatiοn:

6 = a(-3 - 0)² - 3

6 = 9a - 3

9a = 9

a = 1

Cοnsequently, the equatiοn fοr the quadratic functiοn is as fοllοws:

A quadratic equatiοn is a secοnd-degree pοlynοmial equatiοn οf the fοrm:

ax² + bx + c = 0

where "x" is the variable, and "a", "b", and "c" are cοnstants, with "a" nοt equal tο zerο. The sοlutiοns οf a quadratic equatiοn are the values οf "x" that satisfy the equatiοn and make it true.

There are different methοds tο sοlve a quadratic equatiοn, including factοring, cοmpleting the square, and using the quadratic fοrmula. The quadratic fοrmula is a general fοrmula that can be used tο find the sοlutiοns οf any quadratic equatiοn, and it is:

x = (-b ± √(b² - 4ac)) / (2a)

f(x) = (x - 0)² - 3

f(x) = x² - 3

Nοw that we knοw the value οf "n," we can calculate k(x).

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Answer:

refer the attachment pls

Drawn using the same scale, the shape of the normal curve H will be more spread out than the shape of the normal curve G.

Normal curve, or Gaussian distribution, is a curve that describes data form a variable that has infinite, or very large, number of possible values distributed among the population. It has a symmetric shape, and the distribution rises in the middle, and goes down to the left and to the right. The mean is equal to the mode and median and is located at the middle or top of the curve.

If two normal curves have the same mean, but different standard deviations, then the curve with the larger standard deviation will have a more spread out shape than the other.

If Normal curve H has a standard deviation of 10 and normal curve G has 5, but both has the same mean, then Normal curve H has a more spread out shape than the curve of normal curve G.

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Explanation:

Let's go through each answer choice one by one to see if it's true or false.

The deductible is $0.20 and the probability that the insurer pays at least 1.44 on a random loss is 0.18.

To answer this question, we need to use the information given to find the value of the deductible d and the expected value of the losses. We know that the losses are uniformly distributed on the interval [0,2], so the expected value of the losses is (2+0)/2 = 1.
We also know that the probability of the insurer paying at least 1.20 on a random loss is 0.30. This means that the probability of the insurer paying less than 1.20 is 1 - 0.30 = 0.70. We can use this information to find the value of the deductible d.
Let X be the amount of the loss in excess of the deductible d. Then, the probability density function of X is f(x) = 1/2 for 0 ≤ x ≤ 2-d, and the cumulative distribution function of X is F(x) = (x-d)/2 for 0 ≤ x ≤ 2-d.
We know that P(X ≥ 1.20-d) = 0.30, so we can solve for d:
0.30 = P(X ≥ 1.20-d) = 1 - F(1.20-d)
0.30 = 1 - (1.20-d)/2
(1.20-d)/2 = 0.70
1.20-d = 1.40
d = 0.20
Therefore, the deductible is $0.20.
Now, we need to calculate the probability that the insurer pays at least 1.44 on a random loss. Let Y be the amount of the loss. Then, the probability density function of Y is f(y) = 1/2 for 0 ≤ y ≤ 2, and the cumulative distribution function of Y is G(y) = y/2 for 0 ≤ y ≤ 2.
The probability that the insurer pays at least 1.44 on a random loss is the same as the probability that the loss is greater than or equal to 1.44 plus the deductible:
P(Y - d ≥ 1.44) = P(Y ≥ 1.64)
= 1 - G(1.64)
= 1 - 1.64/2
= 0.18
Therefore, the probability that the insurer pays at least 1.44 on a random loss is 0.18.

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Using the data in the stem- and -leaf plot, mean value of given data is 4.59 feet means that a typical throw of the ball results in 4.59 feet.

Mean or arithmetic mean is the ratio of sum of all the observation to the number of observations in a data set. It is given by the formula,

                                  \(Mean = \frac{sum of observations}{number of observations}\)

The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.

The data are given below:

2.0, 2.1, 3.3, 3.1, 3.1, 5.4, 5.1, 5.3, 4.5, 4.0, 8.6, 8.2.

Number of data = 12.

\(Mean = \frac{sum of observations}{number of observations}\)

         = \(\frac{2.0+2.1+3.3+3.1+3.1+5.4+5.1+5.3+4.5+4.0+8.6+8.2}{12}\)

         =\(\frac{54.7}{12}\)

         = 4.59 feet.

Hence, using the data in the stem- and -leaf plot, mean value of given data is 4.59 feet means that a typical throw of the ball results in 4.59 feet.

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Answer:4.59 feet; The value means that a typical throw of the ball results in 4.59 feet.

Step-by-step explanation:

i did in class want it to help yall ik how hard school can be

Answer:

2

Step-by-step explanation:

|x| + |x-2| =

Let x= 1

|1| + |1-2| =

|1| + |-1| =

The absolute value means take the non negative value

1 + 1 = 2

Answer: 2/5

Step-by-step explanation:

Factors could be referred to as numbers which divides a certain number without leaving a remainder.

Factor of 25 are ; 1, 5 25

The spinner has 5 faces

Number of faces which is a factor of 25 = 2 ( 1 and 5)

Therefore, probability of getting a factor of 25:

Probability = required outcome / Total possible outcomes

P(getting a factor of 25) = 2 / 5

Question :

justinapace7446

Yesterday

Mathematics

High School

+5 pts

Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs

$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as

sugar

Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put

$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money

should he invest in each deposit?

Number of Years

Rate

2.0%

5.0%

6.0%

Answer:

1-year: $2200, 2-year: $3200, 3-year: $6600

Step-by-step explanation:

Assume y = Amount invested for 1 year.

y + 1000 = investment amount for 2 years

12000 - (y + y + 1000 ) = amount invested for 3 years

11000 - 2y = amount invested for 3 years

Total interest

Multiplying each by its corresponding rate

(0.02 × y) + (0.05 × (y+1000)) + (0.06 × (11000-2y)) = 600

0.02y + 0.05y + 50 + 660 - 0.12y = 600

-0.05y + 710 = 600

-0.05y = 600 - 710

-0.05y = - 110

y = 2200

Therefore first year = y = $2200

Investment for 2 years =y + 1000 = 2200 + 1000 = $3200

Investment for 3 years = 11000 - 2y = (11000 - (2*2200)) = (11000 - 4400) = $6600

Answer:

the answer is c there bud

Answer:

d

Step-by-step explanation:

a^2 + b^2 = c^2

5^2  + 3^2 = c^2

25 + 9 = c^2

34 = c^2

√34 = √c^2

√34 = c

√34 = x

Answer:

you will need 0.25 pound of sugar

Answer:

An equation that represents the line is:

y = 3/4x - 9/2

Step-by-step explanation:

The slope-intercept form of the line equation

\(y = mx+b\)

where

Given the attached graph of a line.

Taking two points from the line, such as

Determining the slope between (2, -3) and (0, 6)

\(\left(x_1,\:y_1\right)=\left(2,\:-3\right),\:\left(x_2,\:y_2\right)=\left(6,\:0\right)\)

\(m=\frac{0-\left(-3\right)}{6-2}\)

refine

\(m=\frac{3}{4}\)

substituting m = 3/4 and the point (2, -3) in the slope-intercept form of the line equation

y = mx + b

\(\left(-3\right)=\frac{3}{4}\left(2\right)+b\)

\(\frac{3}{2}+b=-3\)

subtract 3/2 from both sides

\(\frac{3}{2}+b-\frac{3}{2}=-3-\frac{3}{2}\)

\(b=-\frac{9}{2}\)

now substituting b = -9/2 and m = 3/4 in the slope-intercept form of the line equation

y = mx + b

y = 3/4x + (-9/2)

Therefore, an equation that represents the line is:

y = 3/4x - 9/2

The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.

The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.

To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.

Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929

Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.

This means that the overall performance of all the students is slightly below the average of the scores in each group.

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The to find the volume of the parallelepiped is V = |A · B × C| where A, B, and C are vectors representing three adjacent sides of the parallelepiped and | | denotes the magnitude of the cross product of two vectors.

The cross product of two vectors is a vector that is perpendicular to both the vectors, and its magnitude is equal to the product of the magnitudes of the two vectors multiplied by the sine of the angle between the two vectors he three adjacent sides of the parallelepiped can be represented by the vectors v1, v2, and v3, and these vectors can be found by subtracting the coordinates of the vertices

:v1 = (-2, 5, -8) - (-2, -2, -5)

= (0, 7, -3)v2 = (-2, -8, -7) - (-2, -2, -5)

= (0, -6, -2)v3 = (-7, -9, -1) - (-2, -2, -5)

= (-5, -7, 4)

Using the formula V = |A · B × C|, we can find the volume of the parallelepiped as follows:

V = |v1 · (v2 × v3)|

where v2 × v3 is the cross product of vectors v2 and v3, and v1 · (v2 × v3) is the dot product of vector v1 and the cross product v2 × v3.Using the determinant formula for the cross-product, we can find that:

v2 × v3

= (-6)(4)i + (-2)(5)j + (-6)(-7)k

= -48i - 10j + 42k

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Answer:

All the answers are bolded in the step-by-step explanation.

Hope it helps :)

Step-by-step explanation:

The radius of the top of a cylinder is always the same length as the radius of the base of a cylinder.

Radius of the base of can A: 10 cm

Radius of the base of can B: 18 cm

To find the area of the bases, use the area formula that you put as your first answer.

Area of the base of can A:

\(A=\pi (10^{2} )\)

\(A=100\pi\)

\(A=314\) cm (Assuming we're only using 3.14 and not any other decimals)

Area of the base of can B:

\(A=\pi (18^{2} )\)

\(A=324\pi\)

\(A=1017.36\) cm (Again, assuming we're only using 3.14 and not any other decimals)

The base of can B has a greater Area

To find the height, look at the diagram

Height of can A: 28cm

Height of can B: 9cm

Can A has a greater height

To find the volume, use the equation that you put as your answer for question 2 or just multiply the area of the base times the height.

Volume of can A:

\(314*28=V\)

\(V=8792\)

Volume of can B:

\(1017.36*9=V\)

\(V=9156.24\)

Can B holds more paint

Answer:

\( ({a + b})^{2} \)

\((a + b)(a + b)\)

\( {a}^{2} + 2ab + {b}^{2} \)

hope this help you

Answer:

24 mm

Step-by-step explanation:

split up parallelogram into 3 shapes, 2 triangles and a rectangle

triangles are special triangles with 3:4:5 ratio

so

A= 1/2 * 4 * 3= 6 for each triangle

rectangle Area

l * w

3 * 4 is 12

add all areas

12 + 6 + 6 = 24

Answer: 1/8

Step-by-step explanation:

Because 2^3 is 8

Answer:

1/8

Step-by-step explanation:

567%*5836522**$-$4&%&36*$*756737437227371727182837

Answer: Table A

Step-by-step explanation: Table A is a function because none of the inputs have the same outputs in that table.

,  Hope this helps :)

Have a great day!!

Answer:

A: 60 + 2x    B: 95 + 1x

Step-by-step explanation:

A costs more

Step-by-step explanation:

To find the common difference of the sequence subtract the previous term from the next term

That's

d = 9 - 5 = 4 or

d = 13 - 9 = 4 or

d = 17 - 13 = 4

Since it's the same for any of the terms chosen

The common difference = 4

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 5

d = 4

We have

A(n) = 5 + ( n - 1)4

= 5 + 4n - 4

= 4n + 5 - 4

We have the answer as

To find the 25th term substitute the value of n that's 25 into the formula

We have

A(25) = 4(25) + 1

= 100 + 1

We have the final answer as

Hope this helps you

O f(x) = 4(1.02)"

O f(x) = 0.5(1.02)

O f (x) =3/4 (1.35)

Of(x) = 7(5/4)

The soluation will be

Of(x) = 7(5/4)

Answer:

0.208

Step-by-step explanation:

Hope this helps....

Answer:

0.208

Step-by-step explanation: