10
9
8
7
6
6 5
5
4
3
2
2
1
х
0 1 2 3 4 5 6 7 8 9 10

Answer:

The answer is 36 degrees!

Step-by-step explanation:

Looking at the other triangle, the same angle says 108 degrees and the left triangle said 3x, so basically it's saying "3 times what equals 108 degrees?" and that would be 36 degrees.

Answer:

i was also looking for this answer and i found it was 4

Step-by-step explanation:

S

F

3

=

1680

26.25

S

F

3

=

64

S

F

=

4

The angle 7 is given as, m<7 = 131°.

The sum of angle 7 and angle 8 is 180°.

Substitute the m<7 = 131°.

Thus the value of angle 8 is,

The surface area of this triangular prism is 258 square units

Given parameter is

The triangular prism

The surface area of triangular prism is calculated as

Surface area = Perimeter * Length + 2 * Base area

Using the given dimensions, we have

Surface area = (5 + 6.5 + 6.5) * 11 + 2 * 5 * 6

Evaluate

Surface area = 258

Hence, the surface area is 258 square units

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The weight of the Avery's lunch box using given weights is equal to 0.92 pounds (rounded to two decimal places).

Total weight of the backpack= 2 2/3 pounds

                                                = 8/3 pounds

The weight of the each book =7/8 pounds.

Let x be the weight of the lunch box in pounds.

An equation that represents the total weight in Avery's backpack,

2(7/8) + x = 8/3

To solve for x, simplify and solve for x,

⇒14/8 + x = 8/3

Multiplying both sides by 24 the least common multiple of 8 and 3 to clear the fractions,

⇒42 + 24x = 64

Subtracting 42 from both sides,

⇒24x = 22

Dividing both sides by 24,

⇒x = 22/24

Simplifying the fraction,

⇒x = 11/12

     =  0.92 pounds (rounded to two decimal places).

Therefore, the  weight of the lunch box is equal to 0.92 pounds (rounded to two decimal places).

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a) As per the demand function, the solution for C is $160, and k is 0.0006

b) The optimal price and quantity that will maximize the revenue for the small business's new product are approximately $48.56 and 414 units, respectively.

To solve for C and k, we need to eliminate one of the variables, either C or k. We can achieve this by taking the ratio of the two equations, which yields:

\($45/40 = (Cek(1000))/(Cek(1200))$\)

Simplifying the equation, we get:

\($1.125 = e^{200k}$\)

Taking the natural logarithm of both sides, we get:

ln(1.125) = 200k

Therefore, k=ln(1.125)/200 = 0.0006

Substituting this value of k in one of the equations, we can solve for C. We can use the first equation:

\($45=Ce^{ln(1.125)*1000/200}$\)

Simplifying, we get:

C=180/1.125 ≈ $160

To find the quantity that maximizes revenue, we need to take the derivative of the revenue function with respect to x and set it equal to zero, and then solve for x.

Taking the derivative of R(x), we get:

\(R'(x) = 160e^{(ln(1.125)x/200)} + 160x\times(ln(1.125)/200)\times e^{(ln(1.125)x/200)}\)

Setting R'(x) = 0, we get:

\(160e^{(ln(1.125)x/200)} + 160x\times(ln(1.125)/200)\times e^{(ln(1.125)x/200)}=0\)

Simplifying the equation, we get:

\(e^{(ln(1.125)x/200)} = -x\times(ln(1.125)/200)\)

Taking the natural logarithm of both sides, we get:

\(ln(e^{(ln(1.125)x/200)}) = ln(-x\times(ln(1.125)/200))\)

x = -200/ln(1.125) ≈ -414.72

The negative value of x is not meaningful in this context, so we can ignore it. Therefore, the quantity that maximizes revenue is approximately 414 units.

To find the corresponding price that yields the maximum revenue, we can substitute x = 414 in the demand function:

p = \(160e^{(ln(1.125)*414/200)}\)≈ $48.56

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Answer:

75kg

Step-by-step explanation:

Decrease =25÷100×100kg

= 0.25×100kg

= 25kg

Decrease 100kg by 25%=100kg-25kg

= 75kg

Answer:

Step-by-step explanation:

join my phone and I'm not going away from your heart

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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\(\\ \sf\Rrightarrow \dfrac{10}{5000}\times 100\)

\(\\ \sf\Rrightarrow \dfrac{2}{1000}\)

\(\\ \sf\Rrightarrow 0.002\%\)

In a case whereby Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil the amount of peanut butter she should use can be expressed as  2 cups of peanut butter.

The concept that will be used is simplification. Base on the provided information from the question,

(1/2 cup of oil )= (1 cup of peanut butter)

we can represent (1 cup of oil)  as  (x)

The if we perfor a Cross Multipliplication we have:

(1/2x) =( 1 × 1)

x = (1 × 2/1)

x = 2 cups of peanut butter.

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Answer:

leading co-efficent is 4

Answer:

Step-by-step explanation:

To find the surface area of a square pyramid, we need to add the area of the base to the sum of the areas of the four triangular faces.

The area of the base of the pyramid is:

Area of square base = (base length)^2

Area of square base = 3^2

Area of square base = 9 square inches

To find the area of each triangular face, we need to first find the length of each side. Since the base is a square, all sides are equal to 3 inches. The slant height is given as 7 inches, which is the height of each triangular face.

Using the Pythagorean theorem, we can find the length of each side of the triangular face:

(side length)^2 + (height)^2 = (slant height)^2

(side length)^2 + 7^2 = 7^2

(side length)^2 = 7^2 - 7^2

(side length)^2 = 24.5

side length ≈ 4.95

The area of each triangular face is:

Area of triangular face = (1/2) × (base length) × (height)

Area of triangular face = (1/2) × 3 × 7

Area of triangular face = 10.5 square inches

Therefore, the total surface area of the square pyramid is:

Total surface area = Area of base + Sum of areas of four triangular faces

Total surface area = 9 + 4(10.5)

Total surface area = 42 square inches

Hence, the surface area of this square pyramid is 42 square inches.

To determine the number of two-digit numbers that can be generated using the digits {1, 2, 3, 4} without repeating any digit, we need to count the number of possibilities for the tens digit (first digit) and the units digit (second digit).

To generate a two-digit number without repeating any digit, we consider the tens digit and the units digit separately. For the tens digit, we have four choices (1, 2, 3, 4) because zero cannot be the tens digit. After selecting the tens digit, we move on to the units digit.

Since we cannot repeat the digit chosen for the tens digit, we have three choices left. Therefore, the total number of two-digit numbers is obtained by multiplying the number of choices for the tens digit (4) by the number of choices for the units digit (3), resulting in 12 possible two-digit numbers.

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Answer:

12jjmhhxkuyrgtjwkso9xbhvsiy5xbgueyr3gskzhxo

Answer:  89 will go in the box

This means the exact distance between the two given points is \(\sqrt{89}\) which approximates to roughly 9.4339811

===========================================================

Explanation:

To get that answer, we can apply the distance formula

(x1,y1) = (-1,-5) is the first point

(x2,y2) = (4,3) is the second point

Plug the coordinates into the distance formula

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-4)^2 + (-5-3)^2}\\\\d = \sqrt{(-5)^2 + (-8)^2}\\\\d = \sqrt{25 + 64}\\\\d = \sqrt{89}\\\\d \approx 9.4339811\\\\\)

--------------------------

Alternative Method:

You could also form a right triangle by adding the point (4, -5). The horizontal leg goes from (-1,-5) to (4,-5) which is a span of 5 units. The vertical leg goes from (4,-5) to (4,3) which is a span of 8 units. The hypotenuse is from (-1,-5) to (4,3) which is the distance we want to find.

After forming the triangle and determining the leg lengths, use the pythagorean theorem and you should get \(\sqrt{89}\) as the length of the hypotenuse. As you can probably guess, the distance formula is effectively a slight rephrasing the pythagorean theorem.

The measure of arc BC in circle E, inscribed in triangle BCD with angle DBC measuring 51 degrees, is 102°.

In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Since BD is a diameter, angle DBC is a right angle, and the intercepted arc BC is a semicircle. Therefore, the measure of arc BC is 180°.

However, we are given that angle DBC measures 51 degrees. In an inscribed triangle, the measure of an angle is equal to half the measure of its intercepted arc. So, angle DBC is half the measure of arc BC, which means arc BC measures 2 times angle DBC, or 2 * 51° = 102°.

Hence, the measure of arc BC is 102°.

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Inscribed circle E is formed by triangle BCD, with BD as the diameter. DC and CB are secants, and angle DBC is 51 degrees. We need to find the measure of arc BC.

When a triangle is inscribed in a circle, the measure of an angle formed by two secants that intersect on the circle is half the measure of the intercepted arc.

In this case, angle DBC is 51 degrees, which means the intercepted arc BC has twice that measure. Therefore, the measure of arc BC is 2×51=102 degrees.

To understand why this relationship holds, we can use the Inscribed Angle Theorem. According to this theorem, an angle formed by two chords or secants that intersect on a circle is equal in measure to half the measure of the intercepted arc.

In our scenario, angle DBC is formed by secants DC and CB, and it intersects the circle at arc BC. According to the Inscribed Angle Theorem, angle DBC is equal to half the measure of arc BC.

Hence, if angle DBC is 51 degrees, the measure of arc BC is twice that, which gives us 102 degrees.

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Answer: 2.12 miles.

Step-by-step explanation: To find the width of Hardee County, we need to determine the length of one of its sides. We can use the fact that the area of a rectangle is equal to its length times its width to find the length of one of its sides.

The area of Hardee County is 637 square miles, and we know that its width is 30 miles. We can use this information to write the following equation: 637 square miles = 30 miles * length

We can solve this equation for the length by dividing both sides by 30: 637 square miles / 30 miles = length

This simplifies to: 21.2 square miles = length

Since the length of a rectangle is one of its sides, the width of Hardee County is 21.2 miles.

The distance from y=[5,5] to the line through u=[6,8] and the origin is 1 units.

The length of the line segment connecting any two places is referred to as their distance. In coordinate geometry, the distance between two points can be computed by measuring the length of the line segment connecting the two points.

The length of the line segment connecting any two places represents the distance between them. There is just one line that connects the two places. So, by measuring the length of the line segment that connects the two sites, the distance between them may be determined.

The objective is to compute the distance from y to the line through u and the origin.

\(y=\left[\begin{array}{c}5&5\end{array}\right] and \ u=\left[\begin{array}{c}6&8\end{array}\right]\)

from the  slope - intercept on the graph, the equation of line can be expressed as :

y = mx + b

where;

m = slope = \(\frac{y_2-y_1}{x_2-x_1}\)

b = y - intercept,

Similarly, we are being informed that the line  passed through \(u=\left[\begin{array}{c}6&8\end{array}\right]\)  and origin, so ;

x1 = 0, y1 = 0

x2 = 6, y2 = 8

slope = \(\frac{y_2-y_1}{x_2-x_1}\)

m = 8/6 = 4/3.

Also, since the line pass through the origin:

Then

y = mx + b

0 = m(0) + b

b = 0

From y = mx + b

y = mx + (0)

y = mx

3y = 4x

3y - 4x = 0

4x - 3y =0

The distance of a point (x,y) from a line ax +by + c = 0 can be represented with the equation:

\(d=\frac{|ax+by+c|}{\sqrt{a^2+b^2} }\)

The distance from \(y=\left[\begin{array}{c}5&5\end{array}\right]\)  to the line 4x - 3y = 0  is:

\(d=\frac{|4x-3y+0|}{\sqrt{4^2+3^2} }\\\\d= \frac{20-15}{\sqrt{25} } \\\\d=5/5\\\\d=1\)

The distance from y = [5,5] to the line through u = [6,8] and the origin is 1 units.

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The surface area of a sphere is given by the formula 4πr^2, where r is the radius of the sphere. This means that the surface area of the balloon is increasing at the rate of 8πr cm^2/sec.

The volume of a sphere is given by the formula 4/3πr^3, where r is the radius of the sphere. If the radius of the balloon is 6 cm, then the volume of the balloon is (4/3)π(6^3) = (4/3)π216 = 288π cm^3.

To find the rate at which the volume of the balloon is increasing, we need to take the derivative of the formula for the volume of a sphere with respect to time. This gives us (4/3)π(3r^2)(dr/dt).

Since the radius of the balloon is 6 cm and the surface area of the balloon is increasing at the rate of 8πr cm^2/sec, the rate at which the radius of the balloon is increasing is (8πr/4πr^2) = 2/r = 2/6 = 1/3 cm/sec.

Plugging this into the formula for the rate of change of the volume of the sphere, we get

Therefore, the volume of the balloon is increasing at a rate of 144π cm^3/sec when the radius of the balloon is 6 cm.

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Complete Question:

The surface area of a spherical balloon is increasing at the rate of 2 cm 2/sec. At what rate is the volume of the balloon is increasing when the radius of the balloon is 6 cm?

There are 3,628,800 ways to seat the four women and six men in a row of ten chairs when there are no restrictions.

If there are no restrictions on the seating arrangement of the four women and six men, then the number of ways to seat them in a row of ten chairs can be calculated as follows:

First, we have 10 choices for the person who will sit in the first chair. After this, we have 9 choices for the person who will sit in the second chair, as one person has already been seated.

We continue in this way until we have only one choice left for the person who will sit in the tenth chair. Therefore, the total number of ways to seat the ten people in a row is:

10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3,628,800

So there are 3,628,800 ways to seat the four women and six men in a row of ten chairs when there are no restrictions.

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keeping in mind that a centroid cuts all medians at a 2 : 1 ratio, meaning that the median AE gets cut on a 2 : 1 ratio, meaning AG : GE = 2 : 1, Check the picture below.

if the "d"iameter of the pie is 30, then its radius must be half that, or 15.

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=15\\ \theta =42 \end{cases}\implies \begin{array}{llll} A=\cfrac{(42)\pi (15)^2}{360}\implies A=\cfrac{105\pi }{4} \\\\\\ \stackrel{using~\pi =3.14}{A\approx 82.43} \end{array}\)

Answer:

Step-by-step explanation:

Which statement best compares and contrasts the two formats?

The infographic shows the movement of water visually, while the text describes it.

The infographic would be less appealing to visual learners than the text.

It is impossible to understand the infographic without the text.

The text is more accurate than the infographic.

The conditional probability that a randomly chosen student studies every day, given that the student passes a math test is O P(M|S). The correct option is A.

P(M|S) is the probability that a randomly chosen student passes a math test given that the student studies every day. But, the question is asking for the probability that a student studies every day given that the student passes a math test.

Considering an P(M|S) situation,
Option D: P(SM) is incorrect because it means the probability that both events S and M occur simultaneously.
Option C: P(S) and P(M) is incorrect because it shows the probabilities of two individual events, not the probability of one event given that the other event has occurred.
Option B: P(M AND S) is incorrect because it means the probability that both events M and S occur simultaneously.

The given problem is based on Conditional Probability Notation to Describe Events. The notation used for conditional probability is P(A|B). Where A and B are two events, the notation represents the probability of event A occurring, given that event B has occurred. Conditional probability can be described as the probability of one event happening given that another event has already happened.

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Using Venn probabilities, it is found that there is a 0.03 = 3% probability of a chain defect.

In a Venn probability, two non-independent events are related to each other, as are their probabilities.

The "or probability" is given by:

\(\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\)

In this problem, the events are:

Event A: Brake defect.

Event B: Chain defect.

For the probabilities, we have that:

Substitute all the values in the formula

\(\rm P(A \cup B ) = P(A)+P(B)-P(A\cap B)\\\\0.06=0.04+P(B)-0.01\\\\P(B)=0.06-0.04+0.01\\\\ P(B)=0.03\)

0.03 = 3% probability of a chain defect.

Hence, there is a 0.03 = 3% probability of a chain defect.

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Answer:

D

Step-by-step explanation:

Public opinion polls use sample sizes of more than 1000 people because it helps to ensure that the results are statistically significant. This means that the results are likely to be accurate and representative of the population as a whole.

The margin of error for a poll is the amount by which the results of the poll could be off from the actual results. The margin of error is calculated using the sample size, the confidence level, and the standard deviation of the population.

The confidence level is the probability that the results of the poll are within the margin of error. The standard deviation of the population is a measure of how spread out the opinions of the population are.

The larger the sample size, the smaller the margin of error will be. This is because the larger the sample size, the more likely it is that the sample will be representative of the population as a whole.

For example, if a poll has a sample size of 1000 people and a confidence level of 95%, the margin of error will be +/- 3%. This means that there is a 95% chance that the results of the poll are within 3% of the actual results.

If a poll has a sample size of 500 people and a confidence level of 95%, the margin of error will be +/- 4.4%. This means that there is a 95% chance that the results of the poll are within 4.4% of the actual results.

As you can see, the larger the sample size, the smaller the margin of error will be. This is why public opinion polls use sample sizes of more than 1000 people. It helps to ensure that the results are statistically significant and that they are likely to be accurate and representative of the population as a whole.

The numeric values of the function are given as follows:

An appropriate domain for the situation is of:

{x ∈ N | x ≥ 0.}

The function in this problem is defined as follows:

f(x) = 6x - 70.

In which the variables are given as follows:

Hence when x = -2, the numeric value is given as follows:

f(-2) = 6(-2) - 70 = -82.

This point is outside of the domain, as the number of shirts cannot be negative, hence an appropriate domain for the function is of:

{x ∈ N | x ≥ 0.}

As the number of shirts is also a countable amount.

When x = 12, the numeric value is given as follows:

f(12) = 6(12) - 70 = 72 - 70 = 2.

When x = 17.5, the numeric value is given as follows:

f(17.5) = 6(17.5) - 70 = 35.

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Answer:

D-two -fold

Step-by-step explanation:

Answer:

1% per month

Step-by-step explanation:

1% of 4000 is 40