Help meeeeeeeeeeeeeee!!!!!!​

Answer:

=

−

5

Step-by-step explanation:

−

8

−

3

(

2

+

1

)

=

6

7

-8x{\color{#c92786}{-3(2x+1)}}=67

−8x−3(2x+1)=67

−

8

−

6

−

3

=

6

7

-8x{\color{#c92786}{-6x-3}}=67

−8x−6x−3=67

2

Combine like terms

−

8

−

6

−

3

=

6

7

{\color{#c92786}{-8x}}{\color{#c92786}{-6x}}-3=67

−8x−6x−3=67

−

1

4

−

3

=

6

7

{\color{#c92786}{-14x}}-3=67

−14x−3=67

3

Add

3

3

3

to both sides of the equation

−

1

4

−

3

=

6

7

-14x-3=67

−14x−3=67

−

1

4

−

3

+

3

=

6

7

+

3−

1

4

=

7

0

-14x=70

−14x=70

5

Divide both sides of the equation by the same term

−

1

4

=

7

0

-14x=70

−14x=70

−

1

4

−

1

4

=

7

0

−

1

4

\frac{-14x}{{\color{#c92786}{-14}}}=\frac{70}{{\color{#c92786}{-14}}}

−14−14x​=−1470​

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

−

5

Answer:

measure or arc BAC should be 297 degrees (with assumptions)

Step-by-step explanation:

Assumption 1: the cap Z in your question is actually an angle symbol

Assumption 2: A is the center of the circle

IF these assumptions are true, then the measure of arc BAC is 36 - 63 = 297 degrees

Answer:

Ketchup

Step-by-step explanation:

The probability of an outcome less than 5 in a discrete uniform distribution ranging from 2 to 9 inclusive is 37.5%.

In a discrete uniform distribution, each outcome has an equal probability of occurring. In this case, the range of possible outcomes is from 2 to 9 inclusive, which means there are a total of 8 possible outcomes (2, 3, 4, 5, 6, 7, 8, 9).

To calculate the probability of an outcome less than 5, we need to determine the number of outcomes that satisfy this condition. In this case, there are 4 outcomes (2, 3, 4) that are less than 5.

The probability is calculated by dividing the number of favorable outcomes (outcomes less than 5) by the total number of possible outcomes. So, the probability is 4/8, which simplifies to 1/2 or 0.5.

Therefore, the correct answer is B. 50.0%. The probability of an outcome less than 5 in this discrete uniform distribution is 50%, or equivalently, 0.5.

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The expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Therefore, the expected time for these activities is 2.8 hours.

To calculate the expected time for activities, we can use the formula for expected value.

The expected value is calculated by multiplying the time for each activity by its probability of occurrence, and then summing up these values. The formula for expected value is: Expected Value = (Time1 * Probability1) + (Time2 * Probability2) + ... + (TimeN * ProbabilityN) Here's a step-by-step example:

1. List all the activities and their corresponding times and probabilities.

2. Multiply the time for each activity by its probability.

3. Sum up the values obtained in step 2.

For example, let's say we have two activities: Activity 1: Time = 2 hours, Probability = 0.6 Activity 2: Time = 4 hours, Probability = 0.4 Using the formula, we calculate the expected time as follows: Expected Time = (2 hours * 0.6) + (4 hours * 0.4) = 1.2 hours + 1.6 hours = 2.8 hours

Therefore, the expected time for these activities is 2.8 hours.

Here full question is not provided  but the full answer given above.

Remember, this is just one example, and you can use the same formula for any number of activities with their respective times and probabilities. In summary, to calculate the expected time for activities, use the formula for expected value and multiply the time for each activity by its probability. Then, sum up these values to get the expected time.

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The change on the fifth day is 0.03.

A mean simply means the average of.a set of numbers.

Based on the information given, let the change in the fifth day be x. This will be illustrated as:.

= (-0.05 + 0.09 - 0.04 - 0.08 + x)/ 5 = -0.01

Crops multiply

-0.08 + x = -0.05

Collect like terms

x = -0.05 + 0.08

x = 0.03

The change is 0.03.

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The triangles ABC and SDC are similar triangles

From the question, we understand points S, C and A are collinear, while line AB and SD are vertical and parallel lines at the either sides of point C.

Hence, Gilligan can conclude that triangles ABC and SDC are similar

To do this, we make use of the following equivalent ratio

\(SD : 130 = AB : 23\)

Substitute 90 for AB

\(SD : 130 =90 : 23\)

Express as fraction

\(\frac{SD}{130} =\frac{90}{ 23}\)

Make SD the subject

\(SD =\frac{90}{ 23} * 130\)

\(SD =509\)

Hence, Gilligan can conclude that the distance of the ship from the shore is 509 ft

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Answer:

\(\mathrm{Least\:Common\:Multiple\:of\:}60,\:360,\:150:\quad 1800\)

in 30 hours

Step-by-step explanation:

The range of the function graphed in this problem is given as follows:

All real values.

From the graph of the function given in this problem, y assumes all real values, which represent the range of the function.

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Answer:

To find the mpg all we have to do is divide the numbers in the ratio.

119 miles / 3.5 gallons = 34 mpg

77 mi / 2.2 gal = 35 mpg

153 mi / 4.25 gal = 36 mpg

The length of the straw is 3.74 inches.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In rectangular box,

Length (l) = 2 inches

Width (w) = 1 inches

Height (h) = 3 inches

Here, The straw is said to fit into the box diagonally from the bottom.

So, the length (s) of the straw is calculated as:

⇒ s = √ l² + w² + h²

⇒ s = √ 2² + 1² + 3²

⇒ s = √ 4 + 1 + 9

⇒ s = √ 14

⇒ s = 3.74 inches

Thus, The length of straw = 3.74 inches

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The length of the straw will be 3.7416  inches long in radical form.

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula : X²=l²+b²+h²

Here,

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 3 inch , b= 2 inch , h= 1 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

X²=14

X=√14

i.e. X=3.7416

We get, X= 3.7416 (in radical form)

Hence, the length of the straw will be  5.91607 inches.

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When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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Answer:

60 degrees

Step-by-step explanation:

The total angles of a circle add up to 360 so to find a missing angle, subtract the figures already given from 60. The angles given total to (140+125+35) = 300. To find angle a, you subtract the 300 from 360. 360-300 = 60 degrees. Therefore, angle a is 60 degrees

Answer:

9*10^7 is 90000000. 3*10^7 is 30000000. So it is 3 times as large

Answer:

The area of the shaded region is approximately 3 mm^2.

Step-by-step explanation:

To find the area of the shaded region, we need to find the area of the triangle and subtract the area of the circle that overlaps with the triangle. We know the radius of the semi-circle is 3mm, and therefore the radius of the whole circle is 6mm. We can use the formula A = 1/2 * base * height for the triangle, and the formula A = π * r^2 for the area of the circle.

Calculate the height of the triangle:

We can use the formula h = sqrt((9mm^2 - b^2) / 4), where h is the height of the triangle and b is the base of the triangle, to calculate the height of the triangle. Since the triangle is isosceles, we know that base = 3mm. Therefore, the height of the triangle is h = sqrt((9mm^2 - 3mm^2) / 4) = sqrt(12mm^2 / 4) = sqrt(3 mm).

2. Calculate the area of the triangle:

The area of the triangle is A = 1/2 * base * height = 1/2 * 3mm * sqrt(3 mm) = sqrt(3 mm) = 0.5389 mm^2.

3. Calculate the area of the overlapping region:

The circle that overlaps with the triangle has a diameter of 6mm. Therefore, its area is A = π * r^2, where r = radius = 3mm. Therefore, the area of the overlapping region is A = π * 3mm^2 = π * 0.09 mm^2.

4. Calculate the area of the shaded region:

The area of the shaded region is the area of the semicircle minus the area of the overlapping region. Therefore, the area of the shaded region is A = π * 6mm^2 - A = π * 6mm^2 - π * 0.09 mm^2 = 2.993 mm^2.

Therefore, the area of the shaded region is approximately 3 mm^2.

Answer:

This (x - 5) represents the length of the rectangle.

Step-by-step explanation:

The formula for the area of a rectangle of length L and width W is A = L * W.

Here, the width is x - 4 and the area is x^2 + x - 20.  Dividing the width (x - 4) into the area results in an expression for the length:

x - 4  /   x^2 + x - 20

Let's use synthetic division here.  It's a little faster than long division.

If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:

4   /   1    1    -20

              4     20

    --------------------

         1     5     0

This synthetic division results in a remainder of 0.  This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor.  From the coefficients 1 and 5 we can construct the other factor:  (x - 5).  This (x - 5) represents the length of the rectangle.

The length of the race track is 171m

To determine the length of the race track, we need to know that the length takes the shape of a rectangle

Now, we have that the formula that is used for calculating the perimeter of a rectangle is expressed as;

P = 2(l +w)

Such that the parameters of the formula are;

Substitute the values, we have;

Perimeter = 2(25.5 + 60)

expand the bracket, we get;

Perimeter = 2(85.5)

Perimeter = 171 m

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Answer:

d

Step-by-step explanation:

-x/3<5

-x< 5x3

-x<15

(there is an assumed 1 in front of the x)

-1x<15

x/-1<15* -1

x>-15

sign switches when we deal with negative values mutiplying and dividing

hope this helped<3

Answer:

A=36m²

Step-by-step explanation:

Using the formulas

A=a²

P=4a

Solving forA

Answer:

C) (7.1)^13

Step-by-step explanation:

When you multiply numbers with the same bases but different exponents, the base stays the same, but the exponents get added:

a^x*a^y=a^(x+y)

(7.1)^6*(7.1)^7=(7.1)^(6+7)=(7.1)^13

Therefore, the correct answer is C) (7.1)^13

Answer:

C

Step-by-step explanation:

When multiplying numbers with exponents, you always add the exponents.

7.1^6+7

7.1^13

Hence, C

Hope it helps!

Answer:Nicole has $94, shen has $170 and justuin has $85

Step-by-step explanation:

85+9=94 85 times 2= 170

Answer:

Step-by-step explanation:

Justin has 19

Nicole has 28

Shen has 38

The factors for the Polynomial are (x+1) and (x+2).

According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of f(x), if f(a)=0.

Given:

f(x) = 2x³ + 9x² + 13x + 6

Now, first (x+1) =0

x= -1

put x= -1 in f(x) as

f(-1) = 2(-1) + 9(1) + 13(-1) + 6

      = -2 + 9 - 13 + 6

      = 0

So, (x+1) is factor of f(x).

Now, second (x-1)= 0

x= 1

put x= 1 in f(x) as

f(1) = 2(1) + 9(1) + 13(1) + 6

      = 2 + 9 + 13 + 6

      = 31

So, (x-1) is not a factor of f(x).

Now, second (x+2)= 0

x= -2

put x= -2 in f(x) as

f(1) = 2(-2)³ + 9(-2)² + 13(-2) + 6

      = -16 + 36 - 26 + 6

      = 0

So, (x+2) is factor of f(x).

Now, second (x-2)= 0

x= 2

put x= 2 in f(x) as

f(1) = 2(2)³ + 9(2)² + 13(2) + 6

      = 16 + 36 + 26 + 6

      = 84

So, (x-2) is not a factor of f(x).

Now, second (x+3)= 0

x= -3

put x= -3 in f(x) as

f(1) = 2(-3)³ + 9(-3)² + 13(-3) + 6

      = -54 + 81 - 39 + 6

      = -6

So, (x+3) is not a factor of f(x).

Now, second (x-3)= 0

x= 3

put x= 3 in f(x) as

f(1) = 2(3)³ + 9(3)² + 13(3) + 6

      = 54 + 81 + 39 + 6

      = 180

So, (x-3) is not a factor of f(x).

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(a) The depreciation rate for the car is approximately 16.6% per year. (b) The original cost of the car is approximately $18,200.

(a) The depreciation rate for the car is approximately 16.6% per year. (b) The original cost of the car is approximately $18,200.

To find the depreciation rate in part (a), we can use the formula r = 1 - (V/C)^1/n, where V = $12,000, C = $20,000, and n = 4. Plugging these values in, we get r = 1 - (12,000/20,000)^(1/4) ≈ 0.166, or 16.6% rounded to the nearest tenth of a percent.

To find the original cost of the car in part (b), we can use the formula V = C(1 - r)^n, where V = $10,000, r = 0.11, and n = 2. Solving for C, we get C = V / (1 - r)^n = 10,000 / (1 - 0.11)^2 ≈ 18,200, rounded to the nearest $100.

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The statement "if the dot product of two nonzero vectors is zero, the vectors must be perpendicular to each other" is true. The dot product of two vectors is zero if and only if the vectors are perpendicular.

The dot product of two vectors is defined as the product of their magnitudes and the cosine of the angle between them. When the dot product is zero, it means that the cosine of the angle between the vectors is zero, which occurs when the vectors are perpendicular.

In other words, the dot product being zero indicates that the vectors are at a 90-degree angle to each other, supporting the statement that they are perpendicular.

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Answer:

145.54$

Step-by-step explanation:

Hope this help! <3

Given:

The equation is:

\(30n-C+200=0\)

To find:

The slope intercept form of the given equation.

Solution:

We have,

\(30n-C+200=0\)

We need to write the given equation in the form of \(C=mn+b\).

Adding C on both sides, we get

\(30n-C+200+C=0+C\)

\(30n+200=C\)

Interchanging the sides, we get

\(C=30n+200\)

This equation is in the form of \(C=mn+b\), where m is 30 and b is 200.

Therefore, the slope intercept form of the given equation is \(30n-C+200=0\).