Able has a younger sister and an older brother.

- Able’s age can be represented by x.
- Able’s sister is 4 years younger than him.
- Able’s older brother is twice as old as he is.
- The combined age of all three siblings is 32.

How old is Able’s younger sister?

9 years

13 years

5 years

3 years

Answer:

262,144

Step-by-step explanation:

2^0 = 1

(2^6)^3 = 2^18 = 262,144

Answer: 262,144.

Step-by-step explanation: (26)3(20)

=(643)(20)

=262144(20)

=(262144)(1)

=262144

Answer:

2c^3(c+11)^2

Step-by-step explanation:

2c^5 + 44c^4 + 242c^3

Factor out the greatest common factor

2c^3(c^2+22c+121)

Recognizing inside the parentheses is (a+b) ^2 where a =c and b = 11

2c^3(c+11)^2

The skew lines are CG, DH, AD, BC.

Two or more lines which have no intersections but are not parallel.

Since two lines in the plane must intersect or be parallel, skew lines can exist only in three or more dimensions.

As, by the definition

The lines skew to EF is CG, DH, AD, BC

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Answer:

Step-by-step explanation:

.3421

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

现在我想你需要将 30 乘以 10/8，因为 1 张桌子需要 10/8 分钟，30 张桌子需要 10/8 * 30

Answer: wait how much was her allowance

Step-by-step explanation:

Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

Gerry's beginning basis in the S corporation is $20,545.

To calculate Gerry's beginning basis in the S corporation, we need to consider the cost of the assets transferred and the additional expenses incurred for the conversion.

The cost of the assets transferred is given as $19,570. This represents the original cost of the assets when Gerry acquired them.

The adjusted basis of the assets is stated as $9,600. The adjusted basis takes into account any adjustments made to the original cost, such as depreciation or other deductions.

To calculate the beginning basis in the S corporation, we add the cost of the assets transferred ($19,570) to the adjusted basis ($9,600). This gives us a total of $29,170.

In addition to the assets, Gerry incurred an additional expense of $975 for the conversion to an S corporation. We include this amount in the calculation of the beginning basis.

Therefore, Gerry's beginning basis in the S corporation is $29,170 + $975 = $20,545.

This beginning basis is important for determining Gerry's tax consequences and future deductions within the S corporation structure.

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we conclude that the correct option is the second one, the opposite of a positive number is a negative number (of equal absolute value).

For any real number X, we define the opposite of X as a number Y such that:

X + Y = 0

Solving for Y (by subtracting X in both sides)

X + Y - X = 0 - X

Y = -X

Then if X represents a positive number, the opposite of a positive number is Y = -X a negative number.

From that, we conclude that the correct option is the second one, the opposite of a positive number is a negative number (of equal absolute value).

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The y-coordinate of the point that divides the directed line segment from J to K into a ratio of is 5.

The coordinates of point that divides the line segment into m:n ratio can be obtained as follows,

Coordinates of point = \((\frac{mx_{2}+ nx_{1} }{m+n} \frac{my_{2}+ ny_{1}}{m+n} )\)

The coordinate of point J is (-3,1)

The coordinate of point K is (-8,11)

Consider the point that divides the line segment into 2:3 ratio as P(x,y).

The coordinates of point that divides the line segment into 2:3 ratio can be calculated as follows,

\(Coordinates of P = (\frac{3(-3)+2(-8)}{2+3}, \frac{3(1)+2(11)}{2+3} )\)

\(= (\frac{-9-16}{5}, \frac{3+22}{5} )\\\\= (\frac{-25}{5} \frac{25}{5} )\)

= (-5,5)

Hence the answer is The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3 is 5.

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Answer:

1 1/2 km

Step-by-step explanation:

8/18 + 16/18 = 24/18

since the numerator is greater than the denominator we know the value is greater than one

also we know that 36/18 is equal to two

24/18 is closest to 1 1/2

Answer:

10x + 3

Step-by-step explanation:

(A tip: separate them. I put one line under the x´s and two under the numbers)

x + 2x + 7x = 10x (add the numbers and put x at the end)

1 + 1 + 1 = 3

Answer:

=20x+2

If im wrong correct me and plus cant explain it because im in a rush

Without changing the value, Marcus can add 3 positive counters and 3 negative counters. Option d is correct.

To determine the difference -8 - 3 (+3), Marcus wants to use a model with counters. He starts with 8 negative counters, and in order to add 3 positive counters without changing the value, he can add 3 positive counters and 3 negative counters.

By adding 3 positive counters, he is increasing the value by 3. However, since he wants to maintain the same value, he also needs to add 3 negative counters. This ensures that the net change in value remains zero.

So, by adding 3 positive counters and 3 negative counters to the model, Marcus can represent the difference -8 - 3 (+3) without changing the overall value. Therefore, d is correct.

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Answer:

The Temperature is 10 degrees below zero.

As a result, we are unable to determine the age of a child who is 133 cm tall using the regression equation.

A statistical technique called linear regression is used to represent the connection between two variables, where one of the variables is the dependent variable and the other is the independent variable. Finding the best-fit line that depicts the connection between the two variables is the objective of linear regression. This enables us to make predictions or estimate values based on the known data.

given

These numbers allow us to determine a and b:

a = 0.997 (9.285 / 1.547) ≈ 5.977

b = 128.2 - 5.977 (8.02) ≈ 81.704

The regression equation is therefore y = 5.977 x + 81.704.

(ii) Based on the calculations made above, the Pearson's product-moment correlation coefficient, or r, has a value of roughly 0.997.

(b) We enter x = 9 into the regression equation to calculate an approximation of the height of a 9-year-old child:

As a result, we calculate that a 9-year-old kid will be roughly 134.6 cm tall.

We must resolve the regression equation for x in order to determine the age of a kid who measures 133 cm in height.

x = (y - b) / a

This calculation, though, would result in an illogically negative age. As a result, we are unable to determine the age of a child who is 133 cm tall using the regression equation.

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The complete question is:-  

The following table shows the mean height, y cm, of primary school children who are age x years old.

Age, x years Mean Height, y cm

6.25 7.35 8.5 9.25 10.75

115 121 129 136 140

The relationship between x and y can be modelled by the regression line of y on x with equation y = ax + b.

(a) (i) Find the value of a and the value of b.

(ii) Write down the value of Pearson's product-moment correlation coefficient, r.

(b) Use your regression equation from part (a)(i) to estimate the height of a child aged 9 years old.

(c) Explain why it is not appropriate to use the regression equation to estimate the age of a child who is 133 cm tall.

Answer:

4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

5- 2/5= 5 - 0.4= 4.6 - How many cups she has left

4.6 ÷ 1/2 = 4.6 × 2/1 = 9.2

9.2≈9

Sonya made 9 complete bags

Hope this helps!!!

Answer:

D=0.80

Step-by-step explanation:

D=M\V

Guy Abouve Me Is Is Right

Answer:

4500 meters.

Step-by-step explanation:

1 meter = 1000 millimeters so just do the number of meters (in this case 4.5) times 1000.

For a population with a standard deviation of σ = 12, the population mean is 100.

From the question above, : A population with a standard deviation of σ = 12, a score of X = 115 corresponds to z = +1.25

Population mean μ = ?

We know that the z-score formula is given by;z = (X - μ) / σ

Where, z = given z-score

X = score

μ = population mean

σ = standard deviation

Substituting the given values;z = +1.25X = 115σ = 12

Now, we have to find population mean μ

.By rearranging the above z-score formula we get;

μ = X - z * σ

Put the given values in above formula.

μ = 115 - 1.25 * 12

μ = 115 - 15

μ = 100

Hence, the population mean is 100.

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(a) The length of the missing side BA is 70.77 units.

(b) The length of the side YZ and XY is YZ = 17.32 units and XY = 34.64.

The length of the missing sides of the triangles is calculated by applying the following formula as follows;

(a) The length of the missing side BA is calculated by applying Pythagoras theorem.

BA = √ (52² + 48² )

BA = 70.77 units

(b) The length of the side YZ and XY is calculated as;

tan (30) = h / 30

h = 30 x tan (30)

h = 17.32 units

cos (30) = 30 / XY

XY = 30 / cos 30

XY = 34.64

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Answer:

1) Min: (1, 8); Max: none

2) Min: none; Max: (2, 5)

Step-by-step explanation:

When you graph question 1 the relative lowest point is (1, 8), but there is no maximum as the graph seems to go infinitely up.

When you graph question 2 the relative highest point is (2, 5), but there is no minimum as the graph seems to infinitely go down.

I hope this helps :)

Answer:

11

Step-by-step explanation:

Substitute the given value (5) into the function and evaluate

Answer:

f(5) = 11

Step-by-step explanation:

Substitute x = 5 into f(x) , that is

f(5) = 7 - 2(3 - 5)

     = 7 - 2(- 2)

     = 7 + 4

     = 11

The cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

A Cartesian equation is essential in mathematics. It corresponds to a mathematical formula that expresses the connection between elements as a function of their positions on a plane known as Cartesian.

A two-dimensional coordinate scheme called the Cartesian plane employs a horizontal x-axis and an upward y-axis to identify locations in space.

Given that, \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\).

So, \(csc\hspace{0.1cm}\theta=cosec \hspace{0.1cm}\theta\).

The equation becomes as follows:

\(r=2cosec\hspace{0.1cm} \theta\)

By using the trigonometric equation \(cosec\hspace{0.1cm} \theta=\frac{1}{sin\hspace{0.1cm}\theta}\), we get

\(r= \frac{2}{sin \hspace{0.1cm} \theta}\)

Multiplying both sides by \(sin\hspace{0.1cm}\theta\), we get

\(r \hspace{0.1cm}sin\hspace{0.1cm}\theta =2\hspace{0.1cm}\frac{sin\hspace{0.1cm}\theta}{sin\hspace{0.1cm}\theta}\)

\(rsin\hspace{0.1cm}\theta=2\)

By the parametric equations \(x=rcos\hspace{0.1cm}\theta\) and \(y=rsin\hspace{0.1cm}\theta\), we get

\(y=2\)

It is a horizantal line.

Hence, the cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

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The cartesian equation for the curve is: y = 2 This is a horizontal line passing through the point (0,2).

To find a Cartesian equation for the curve given by the polar equation r = 2 csc(θ), we will convert the polar coordinates (r, θ) into Cartesian coordinates (x, y) using the following relationships:

x = r * cos(θ)
y = r * sin(θ)

Step 1: Express r in terms of θ
r = 2 csc(θ)

Step 2: Since csc(θ) = 1 / sin(θ), rewrite the equation as
r = 2 / sin(θ)

Step 3: Express x and y in terms of r and θ
x = r * cos(θ)
y = r * sin(θ)

Step 4: Substitute r from Step 2 into the y equation
y = (2 / sin(θ)) * sin(θ)

Step 5: Simplify the equation
y = 2

The Cartesian equation for the given polar equation is y = 2, which represents a horizontal line passing through the point (0, 2).

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Answer:

0.04

Step-by-step explanation:

Answer:

0.04

Step-by-step explanation:

simple math the 4 is in the ones place

Answer:

hola le noeva si (true) neisa adios

Answer:

  C, D, E

Step-by-step explanation:

You want to find equations for h and b1 or b2 given the formula for the area of a trapezoid is ...

  A = 1/2h(b1 +b2)

Distributing the factor of 1/2, we get ...

  \(A=h\left(\dfrac{1}{2}b_1+\dfrac{1}{2}b_2\right)\)

Dividing by the coefficient of h, we find ...

  \(\boxed{h=\dfrac{A}{\left(\dfrac{1}{2}b_1+\dfrac{1}{2}b_2\right)}}\qquad\text{matches choice E}\)

Multiplying the original equation by 2 gives us ...

  \(2A=h(b_1+b_2)\)

From here, we can solve for h or b2 as follows:

  \(\boxed{h=\dfrac{2A}{b_1+b_2}}\qquad\text{divide by the coefficient of h; matches D}\\\\\\\\b_1+b_2=\dfrac{2A}{h}\qquad\text{divide by h}\\\\\boxed{b_2=\dfrac{2A}{h}-b_1}\qquad\text{subtract $b_1$; matches C}\)

Answer:

-7/4

Step-by-step explanation:

(-1,2) (3,-5)

x1 y1 x2 y2

-5-2=-7

3-(-1)=4

-7/4