find g(1) if g(x) =x^2+1​
A.4
B.2
C.3

The change in the club's size was 9 members each week.

A set of variables, constants, and mathematical operations forms an algebraic expression.

If the private club's members were reduced by 63 in 7 weeks, it means;

Total members = 63

Number of weeks = 7

To find the number of weeks = 63/7

The number of weeks = 9

So, in 9 weeks, the club must have lost 63 members.

Learn more about algebraic expressions: https://brainly.com/question/2164351

#SPJ1

Answer:

t = \(\frac{14}{5}\)

Step-by-step explanation:

Parallel lines have equal slopes.

calculate the slope m of PQ and then equate the slope of AB to slope of PQ

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = P (- 2, 4 ) and (x₂, y₂ ) = Q (4, - 1 )

\(m_{PQ}\) = \(\frac{-1-4}{4-(-2)}\) = \(\frac{-5}{4+2}\) = - \(\frac{5}{6}\)

now calculate slope of AB

with (x₁, y₁ ) = A (4, - 3 ) and (x₂, y₂ ) = B (t, - 2 )

\(m_{AB}\) = \(\frac{-2-(-3)}{t-4}\) = \(\frac{-2+3}{t-4}\) = \(\frac{1}{t-4}\)

equating the slopes gives

\(\frac{1}{t-4}\) = - \(\frac{5}{6}\) ( cross- multiply )

5(t - 4) = - 6

5t - 20 = - 6 ( add 20 to both sides )

5t = 14 ( divide both sides by 5 )

t = \(\frac{14}{5}\)

Answer:

1) is D

2)is B

3)is unsure

Step-by-step explanation:

i used a graphing calculator

Answer:

2x + 40

Step-by-step explanation:

Given ,

L = x

B = 20cm

To Find: Expression that represents the Perimeter

Perimeter of rectangle = 2(l+b)

                                       = 2(x+20)

                                        = 2x + 40

Answer:

g3,2 h 4,4

Step-by-step explanation:

Answer:

35 yards above sea level

Step-by-step explanation:

12 + 38 - 15

50 - 15

35

Answer:

falls creek hhhhhhhjjkk

Answer:

$0.19

Step-by-step explanation:

i) Michaelangelo's sells small, medium, large, and jumbo pizzas. - Not nominal data.

Nominal data refers to a type of categorical data where values are assigned to distinct categories or labels without any inherent order or numerical significance. In the given options, both i) and ii) involve categorical information, but only option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") describes nominal data.

In option i), the sizes of pizzas (small, medium, large, and jumbo) can be considered ordinal data as they have a specific order and imply a relative size difference. Ordinal data possesses a sequential arrangement where the categories have a meaningful relationship or hierarchy.

On the other hand, option ii) presents toppings (pepperoni, black olives, and mushrooms) as distinct categories without any inherent order or hierarchy.

Each topping represents a separate label or category, making it an example of nominal data.Therefore, option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") accurately describes nominal data.

Learn more about nominal data

brainly.com/question/31918425

#SPJ11

Answer: 128.43

Step-by-step explanation:

It’s 9 people not just 8

A bar graph would be the best graphical representation to display the data. The correct answer would be an option (D).

A random sample of 130 purchases from a particular pharmacy was taken. The type of item purchased was recorded, and a table of the data was created.

Item Purchased      Health & Medicine     Beauty     Household     Grocery

Number of Purchases       55                       23               22               30

A bar graph would clearly and effectively show the number of purchases for each category of item (Health & Medicine, Beauty, Household, and Grocery) and allow for easy comparison between the categories.

Thus, a bar graph would be the best graphical representation to display the data.

Hence, the correct answer would be option (D).

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ1

In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance  statistic is computed.

What is Analysis of variance ?

What are some instances where ANOVA has been applied?

Learn more about Analysis of variance

brainly.com/question/28274784

#SPJ4

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

To learn more about factor click here

brainly.com/question/26923098

#SPJ11

Answer:

the independent variable

Step-by-step explanation:

tome is the independent variable

position is the dependent variable

In the given graph titled "Time vs. Position of Battery Operated Car," the "Time (s)" represents the independent variable.

The independent variable is typically plotted on the x-axis of a graph and represents the variable that is intentionally changed or controlled in an experiment or study.

In this case, the graph shows how the position of the battery-operated car changes over time, with time being the independent variable.

So the time represents the independent variable.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ7

Answer:

D(3;-2).

Step-by-step explanation:

1)  \(X_D=2*X_E-X_C;\\Y_D=2*Y_E-X_C.\)

2) according to the formulas above:

\(X_D=2*0+3=3;\\Y_D=2*1-4=-2.\)

3) finally, D(3;-2).

Answer:

no lo sd

Step-by-step explanation:

solo se que is really

In what? desmos, drawing?

If a=4, b= 7, and B= 75°, the area of triangle ABC is approximately 13.476 square units.

To find the area of triangle ABC given the values of a, b, and B, we can use the formula:

Area = (1/2) * a * b * sin(B)

where a and b are the lengths of two sides of the triangle and B is the angle between them, measured in degrees.

Substituting the given values, we get:

Area = (1/2) * 4 * 7 * sin(75°)

Using a calculator to evaluate the sine of 75°, we get:

Area = (1/2) * 4 * 7 * 0.96593

Area ≈ 13.476 square units

The formula for the area of a triangle involves using the length of two sides and the angle between them.

To learn more about area click on,

https://brainly.com/question/29648395

#SPJ4

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

For such more questions on Pokemon cards:

https://brainly.com/question/28992229

#SPJ11

Answer:

y = x - 2

Step-by-step explanation:

You can subtract 4 from the x and y to get where the y-intercept would be.

Answer:

x= y-5

y=x+5

Step-by-step explanation:

Answer:

D and E

Step-by-step explanation:

remote interior angles are not adjacent to a given angle. or basically 1 is our exterior angle, so the opposites of 1 and the remote interior angle.

The remote interior angles of Z1 are ∠4 and ∠3. The correct options are D and E.

A triangle's remote interior angles are the two angles that are not adjacent to a given exterior angle. An exterior angle of a triangle is formed by extending one of the triangle's sides.

The following theorem can be used to calculate the remote interior angles of a triangle:

A triangle's remote interior angles are equal in size to the exterior angle that is not adjacent to them.

In other words, if we know the measure of one of a triangle's exterior angles, we can find the measure of the distant interior angles by subtracting that measure from 180 degrees.

Thus, the correct options are D and E.

For more details regarding angles, visit:

https://brainly.com/question/28451077

#SPJ7

Answer:

-90

Step-by-step explanation:

10+5×5×(-2)

10+25×(-2)

10+(-100)

10-100

-90

Answer:

- 40

Step-by-step explanation:

Substitute x = 5, y = - 2 into the expression

10 + 5xy

= 10 + 5(5)(- 2)

= 10 - 50

= - 40

The area of the semi circle is  56.52 units²

A semi circle is half of a circle. Therefore, the area of a semi circle is half the area of a circle.

Hence

area of a semi circle = 1 / 2 × πr²

where

Therefore, let's find the area of the semi circle above using the formula as follows:

area of a semi circle = 1 / 2 × πr²

r = 6 units

area of a semi circle = 1 / 2 × 3.14 × 6²

area of a semi circle = 1 / 2 × 3.14 × 36

area of a semi circle =  113.04 / 2

Therefore,

area of a semi circle = 56.52 units²

learn more on area here: https://brainly.com/question/15822332

#SPJ1

Answer:

72.3

Step-by-step explanation:

72.381% as a recurring decimal using dot notation is 0.72381.

To express 72.381% as a recurring decimal using dot notation, we can follow these steps:

Convert the percentage to a decimal by dividing it by 100:

72.381% = 72.381 / 100 = 0.72381

Write the decimal part without the leading zero:

Decimal part: 0.72381

Place a dot above the repeating part of the decimal, which is the entire decimal in this case:

Decimal part with dot notation: 0.72381

Thus, 72.381% as a recurring decimal using dot notation is 0.72381.

Read more on decimals here https://brainly.com/question/28393353

#SPJ2

The dimensions  and volumes of the various containers that can be ,made with the 3 meters × 3 meters sheet of fine wire indicates that the maximum volume possible is 2 m³

The volume of a rectangular prism container is the product of the base area and the height of the container.

The volume of the open-topped container formed by the 3 m × 3 m sheet of fine wire mesh can be presented as follows

Step 1:

\(\begin{tabular}{|c|c|c|c|c|c|} \cline{1-5}Corner cut (m) & Length (m)&Width (m)&Height(m)&Volume (m^3) \\ \cline{1-5}0& 3&3&0&0 \\ \cline{1-5}0.5 & 2&2&0.5&2 \\ \cline{1-5} 1& 1&1&1&1 \\ \cline{1-5} \cline{1-5}\end{tabular}\)

Step 2; Let x represent the corner cut

Step 3; The expression for the new side length can be found as follows;

When x is cut from each corner, the new side length is; 3 - 2·x

Step 4: The expression for the volume can be obtained from the volume of a cube formula, which is; V = L × W × H

Where;

L = The length of the box = 3 - 2·x

W = The width of the box = 3 - 2·x

H = The height of the box = x

Therefore, the volume of the container is; x·(3 - 2·x)²

Step 5: Please find attached the graph of the volume function created with MS Excel

Step 6; The value of the volume cut that generates the (optimal) maximum volume, obtained from the graph is; x = 0.5

Step 7 The values in the table indicates that when x = 2, the volume will be 3 m³, which is the maximum volume.

Learn more on optimization of a function here:  https://brainly.com/question/15358878

#SPJ1

To find the number pi in the box we must start with 3.14 and follow the sequence of the number.

The number Pi is a mathematical value that is represented by the symbol π and is used to refer to the length of the circumference of a circle and its diameter in geometry.

The value of pi is the following:

If we want to find the number pi, in the box we must follow the sequence of numbers that make up pi as shown:

Learn more about Pi number in: https://brainly.com/question/511377

The equivalent expression of the rational exponent ∛a² is \((a)^{\frac{2}{3}\).

Rational exponents are exponents that are fractions, where the numerator is a power and the denominator is a root.

So rational exponents (fractional exponents) are exponents that are fractions or rational expressions.

To determine the rational exponent equivalent to the expression given, we will apply the power rule of indices as shown below.

The given expression is ;

∛a²

The rational exponent is calculated as follows;

∛a² = \((a)^{\frac{2}{3}\)

Thus, based on exponent power rule, the given expression is equivalent to ∛a² = \((a)^{\frac{2}{3}\)

Learn more about rational exponents here: brainly.com/question/30603002

#SPJ1

The complete question is below:

Find the equivalent expression of the rational exponent ∛a². does anyone know it

The national average for energy usage per home in BTU is approximately 90 BTU.

BTU stands for British Thermal Unit, which is the amount of energy required to raise the temperature of one pound of water by one degree Fahrenheit. It is used to quantify the amount of energy consumed by heating or cooling equipment.In California, people use 63 BTU of energy per home, which is 30% less than the national average. Therefore, to calculate the average BTU consumption for American households, we will use the following formula: National average BTU = California BTU / (1 - 30%)

Let's solve for the national average BTU: National average BTU = 63 BTU / (1 - 0.30)

National average BTU = 63 BTU / 0.70National average BTU = 90 BTU

Therefore, the average American household uses 90 BTU of energy per home.

Learn more about  percentages and linear equations:https://brainly.com/question/28654618

#SPJ11

Answer:

About .9332

Step-by-step

This tells us that the probability that a z value is less than or equal to 1.5 is about .9332. Thus, the shaded region is about 93.32% of the entire curve. Let's try another example.

Answer:

the answer is (0,5) if you want to find the slope