Toby read a total of 12 books over 3 months. If Toby has read 16 books so far, how many
months has he been with his book club? Assume the relationship is directly proportional.
(Not so great at math)

Answer:

x=90 degrees

y=43 degrees

hope this helps.

Answer:

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥.

Step-by-step explanation:

Step-by-step explanation:

every marker marks obviously a unit of 6.

so, the values go up and down from 0 in multiples of 6.

for the blue dot we count down from 0 :

5 markers

each marker is worth 6. and we are going down into the negative realm.

so, the blue dot is

- 5×6 = -30

The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2

By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.

The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.

Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:

1 + 1 = 2

Hence, based on the observed pattern, the next number in the sequence is 2.

Therefore, the completed list of numbers would be:

1, 1, 1, 2, 1, 4, 1, 2

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Answer:

1. (3x²y³z)²=9x⁴y⁶z²

2. (2m³n⁻⁴)³=8m⁹n⁻¹²

Step-by-step explanation:

Both questions require knowledge of two rules of indices/powers:

(xy)ᵃ=xᵃyᵃ (when numbers multiplied by each other are put to a power, that is equal to the product of each number to that power)

(xᵃ)ᵇ=xᵃᵇ (when a number to a power is put to another power, that is equal to the number to the power of the product of the powers)

1.

(3x²y³z)²

=(3²)(x²)²(y³)²(z²)

=(9)(x²⁽²⁾)(y³⁽²⁾)(z²)

=9x⁴y⁶z²

2.

(2m³n⁻⁴)³

=(2³)(m³)³(n⁻⁴)³

=(8)(m³⁽³⁾)(n⁻⁴⁽³⁾)

=8m⁹n⁻¹²

Hope this helps! :D

Answer:

Trapezoid

Step-by-step explanation:

It's a quadrilateral and it only has one pair of parallel sides.

The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.

To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.

In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:

tan(52) = 600 / d1

Rearranging the equation to solve for d1:

d1 = 600 / tan(52)

Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:

tan(46) = 600 / d2

Rearranging the equation to solve for d2:

d2 = 600 / tan(46)

Using a calculator, we can compute:

d1 ≈ 504.61 feet

d2 ≈ 681.95 feet

The distance between the two cars is the difference between d2 and d1:

Distance = d2 - d1

Plugging in the values, we have:

Distance ≈ 681.95 - 504.61

Distance ≈ 177.34 feet

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Step-by-step explanation:

we need the length of the arc ?

the length of the arc fully around the circle (360°) is the circumference of the circle : 2×pi×r

and the arc length for 123° is then

2×pi×r×123/360

but we would need r to calculate that. you did not provide that.

the only other thing that comes to mind is : the arc angle is indeed the angle at the center of the circle and is 123°.

i don't know how else to help you, as i cannot think of anything else you might need there.

Answer:

yeh i see

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Its 3 because Theres 3 blue ballans in 10 red

Answer:    It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.

Step-by-step explanation:

We have the following polynomials:

First, we can see they have in common the number 10, so we can write:

Now, we must find the greatest common factor in the terms on parenthesis:

then, the answer is

Step-by-step explanation:

y = 9x - 7

When x = 8

y = 9.8 - 7

y = 72 - 7

y = 65

When x = 6

y = 9.6 - 7

y = 54 - 7

y = 47

When x = 7

y = 9.7 - 7

y = 63 - 7

y = 56

When x = -8

y = 9.(-8) - 7

y = -72 - 7

y = -79

When x = 4

y = 9.4 - 7

y = 36 - 7

y = 29

Answer:

False

Step-by-step explanation:

Brainliest please?

Answer:

3 2-pt shots, 4 3-pt shots

Step-by-step explanation:

2x + 3y = 18

x + y = 7, so x = 7 - y

Substitute in for x

2(7 - y) + 3y = 18

14 - 2y + 3y = 18

14 + y = 18

y = 4

Now put 4 in for y to solve for x

2x + 3(4) = 18

2x + 12 = 18

2x = 6

x = 3

Answer:

No, the 10% condition is not met.

Step-by-step explanation:

got it right on edge

Answer:

c

Step-by-step explanation:

Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit

One type of number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.

Comparable to subtracting whole numbers is the operation of adding and subtracting decimals. The only difference between adding decimals and doing so is that we line up according to the decimal point rather than the last digit.

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Option III "E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise." is a correct multiple regression equation that can be used to analyze these data. So the option III is correct.

Randomized design involving four treatments: A, B, C, and D.

So total number of treatments = 4(A, B, C, D)

So the number of dummy variable is required = 4 - 1

The number of dummy variable is required = 3

The three variables would be x₁ x₂ and x₃ and the fourth treatment scenario would be represented if all three were zero.

So the option III is correct because this is a correct multiple regression equation because it contains all the necessary components to define a linear regression model.

Specifically, it contains a dependent variable (y), a constant (B₀), and three independent variables (x₁, x₂, x₃). Additionally, each of the independent variables is either assigned a value of 1 or 0 depending on the treatment, which is how a linear regression model is typically constructed.

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The complete question is:

Consider a completely randomized design involving four treatments: A, B, C, and D. Select a correct multiple regression equation that can be used to analyze these data. Define all variables.

I. E(y) = B₀ + B₁ x₁ x₂ x₃ x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

II. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃ + B₄x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

III. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise.

In a case whereby a number has the same digits in its hundreds place and it’s hundredths place the number of times that the value is greater in the hundreds place than the value of the digit in the hundreds place is 10,000 times.

The question can be interpreted that the particular number has the same digit  which is seen in hundreds place  hence  hundredths place.

we can then represent the digit  as '1'.

The value of number's hundreds place can be represented as  100

we can as well represent the number's hundredths place as 0.01

the number of times the value of the hundreds place digit exceeds the value of the hundredths place digit can be expressed as 100/0.01 =(100*100)/1 = 10, 000

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missing options:

A. 100,00

B. 100

C. 1,000

D. 10,000

Answer:

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Use PEMDAS (Parenesis, Exponents, Mutiplication, Division, Addition, Subtraction)

Using PEMDAS we add 5+3 for it is in parenesis. We get 8 from that. Finally, we multiply 8 with 2 to get 16.

Answer:

A = 1.5386

Step-by-step explanation:

Quarter circle area formula:

A = (πr²)/4

A= (π1.4²)/4

A = (3.14*1.96)/4

A = (6.1544)/4

A = 1.5386

The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

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Answer:

1) 25/54 = 46%

2) 10/27 = 37%

3) 17/27 = 63%

4) 20/27 = 74%

5) 17/27 = 63%

6) 10/17 = 59%

Step-by-step explanation:

1) (50 male)/108 total) = 25/54

2) (40 thumbs down)/(108) = 10/27

3) (68 thumbs down or male) / (108) = 17/27

4) (80 thumbs down or female)/(108) = 20/27

5) (68 thumbs up)/(108) = 17/27

6) (40 thumb up female)/(68) = 10/17

1. The probability that a survey respondent is male is 0.56 (or 28/50).

2. The probability that a survey respondent indicated a thumbs-down is 0.34 (or 17/50).

3. The probability that a survey respondent indicated thumbs-up or is male is 0.84 (or 42/50).

4. The probability that a survey respondent indicated thumbs-down or is female is 0.52 (or 26/50).

5. The probability that a survey respondent indicated a thumbs-up is 0.66 (or 33/50).

6. The probability that a thumbs-up respondent is female is 0.545 (or 6/11).

1. To find the probability that a survey respondent is male, divide the number of male respondents who gave a thumbs-up (28) by the total number of respondents (50). This gives us 28/50 = 0.56.

2. For the probability of a thumbs-down response, add the number of males (22) and females (18) who gave a thumbs-down and divide by the total respondents (50). This yields 40/118 = 0.34.

3. To calculate the probability of thumbs-up or male, sum up the thumbs-up male respondents (28) and all males (28 + 22) and divide by the total respondents (50). This results in 50/59 = 0.84.

4. For the probability of thumbs-down or female, add the thumbs-down female respondents (18) to all females (18 + 40) and divide by the total respondents (50). This gives us 58/112 = 0.52.

5. The probability of a thumbs-up response is calculated by dividing the total thumbs-up respondents (40) by the total respondents (50), which is 40/50 = 0.66.

6. To find the probability that a thumbs-up respondent is female, divide the thumbs-up female respondents (40) by the total thumbs-up respondents (40 + 28) which is 40/73 = 0.545.

In summary, by analyzing the given data, we can determine these probabilities. Male respondents make up 56% of the survey, while the probability of indicating a thumbs-down is 34%. The probability of either a thumbs-up or being male is 84%, and the probability of either a thumbs-down or being female is 52%. The probability of indicating a thumbs-up is 66%, and among thumbs-up respondents, the probability of being female is about 54.5%.

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Answer:

It’s J

Step-by-step explanation:

Answer:

Sam is 24 years old and his mother is 48 years old.

Step-by-step explanation:

Equations

Let's call

x   = Sam's current age

Since Sam's mother is twice as old as Sam:

2x = Sam's mother current age

x + 12 = Sam's age in 12 years

2x - 12 = Sam's mother age 12 years ago

These two last expressions are equal:

x + 12 = 2x - 12

Subtracting x and adding 12:

x = 24

2x = 48

Sam is 24 years old and his mother is 48 years old.

Answer:

Sam is 24 and his mom is 48

Step-by-step explanation: