what is the common ratio of 4,8,16,32

Answer:

C

Step-by-step explanation:

The y-intercept of the line is -4, immediately eliminating D. The two definite points on the graph I could visually confirm were (0,-4) and (1, -1). You had to "rise" 3 units and "run" 1 unit. This is a slope of 3/1 or 3. In y=mx+b form, The equation is f(x)=3x-4 or C.

Answer:

Yes

Step-by-step explanation:

The line is pointing up therefore the slope will be positive

Answer:

ye

Step-by-step explanation:

cause you go from x to y and if you do that then yes it'll be positive I think

Answer:

-27

Step-by-step explanation:

f(x) = 3(x-1)(x-7)

     = (3x-3)(x-7)

     = 3x^2 - 24x + 21

when f(x) = 0, x = 7 or 1

x-intercept of vertix of the graph = (7+1 )/ 2 = 4

f(x) attains it's minimum when x = 4

The minimum output value = 3(4-1)(4-7)  = -27

The value of q' as a decimal, rounded to the nearest hundredth, is 0.23.

To find the value of q', we need to first understand what it represents. q' is the complement of the proportion of executives who want to strengthen innovation, i.e., the proportion of executives who do not want to strengthen innovation.

Since the survey showed that 23% of executives want to strengthen innovation, we can calculate the proportion of executives who do not want to strengthen innovation as:

q = 1 - 0.23 = 0.77

Therefore, q' can be calculated as:

q' = 1 - q = 1 - 0.77 = 0.23

Rounding to the nearest hundredth, we get:

q' ≈ 0.23

Therefore, the value of q' as a decimal, rounded to the nearest hundredth, is 0.23.

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Answer:

PLEASE GIVE BRAINLIEST AND THANKS

700mg

Step-by-step explanation:

560 divided by 80= 7

7 x 100=700mg

Answer:

B

Step-by-step explanation:

Every triangle has 180 degrees.

so minus 124 you get 56. So you have 2 more angles so you divide that by 2 to get 28

The measure of each base angle in the figure, if The measure of an angle is 124°, and The side IH is equal to IJ, is 28°, so option B is correct.

Triangles are basic three-sided polygons with three internal angles. The symbol represents one of the basic geometric shapes, which has three joined vertices.

Given:

The measure of an angle is 124°,

The side IH is equal to IJ,

As we know, the equal side makes the opposite angle equal then,

∠ IHJ = ∠ IJH

Assume the angle is x,

∠ IHJ +∠ IJH + ∠ HIJ = 180 (Triangle property)

2x + 124 = 180

2x = 180 - 124

x = 56 / 2

x = 28°

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Considering the equation of an ellipse, it is found that the height of the tunnel 10 feet from the edge is of 14 feet.

The following is the equation for a horizontal ellipse of center with coordinates (h,k):

(x - h)²/a² + (y - k)²/b² = 1.

In relation to this issue, we have that:

The origin is where the center is.

Since the major axis is 70, 2a = 70 and a = 35.

The maximum height is 20, therefore b is equal to 20.

As a result, the ellipse's equation is as follows:

x²/35² + y²/20² = 1.

It is determined that x = 25 when the tunnel is 10 feet from the edge since 35 – 10 = 25; therefore, the height y is calculated as follows:

25²/35² + y²/20² = 1

0.51 + y²/20² = 1

y²/20² = 0.49

y² = 20² x 0.49

y =√(20² x 0.49)

y = 14 feet.

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Answer:

Step-by-step explanation:

You want to know the cost of each game and each ride if 5 games and 7 rides cost $43.75 while 10 games and 2 rides cost $27.50.

We can let g and r represent the cost of a game and the cost of a ride, respectively. Then the two purchases can be described by ...

  5g +7r = 43.75

  10g +2r = 27.50

A system of linear equations like this is easily solved by reducing the augmented matrix of coefficients to row-echelon form. Many calculators and web tools are available for the purpose. The attachment shows the result of using a calculator app.

It tells us the price of a game is $1.75, and the price of a ride is $5.00.

Using the elimination method of solving the system we can eliminate 'g' by subtracting the second equation from twice the first:

  2(5g +7r) -(10g +2r) = 2(43.75) -(27.50)

  12r = 60 . . . . . . . simplify

  r = 5 . . . . . . . . . divide by 12

  10g +2(5) =27.50 . . . . . substitute for r in the second equation

  10g = 17.50 . . . . . . . . . subtract 10

  g = 1.75 . . . . . . . . . . . divide by 10

The cost of each game is $1.75; the cost of each ride is $5.00.

Answer:

D has a horizontal symmetry.

The answer is 20 meters.

Answer:

E

Step-by-step explanation:

Answer:4/5

Step-by-step explanation:

y= (1/5)x

y= 1/5 (4)

y= 4/5

Hope it's working :)

Answer:

exact form = 4/5

decimal form = 0.8

Step-by-step explanation:

The  volume of the largest right circular cone that can be inscribed in a sphere of radius r is  8/27 (volume of sphere)

Let r serve as the foundation. the volume of the area, and radius x is the separation between the base and the sphere's center. Height h of the cone = R + x

∴    V= 1/3πr² h= π/ 3 (R² −x²)(R + x)

       = π/3​ (R² + R² x − Rx² −x² )

∴   dV/ dx​ = π​ /3 [R²−2Rx−3x² ]

  d²V/ dx²​ = π/3​ [−2R−6x]

For max or min V dV/dx​ =0

∴   R² −2Rx−3x² =0

⇒(R + x)(x−3x)=0    

2) x=−R, x​/3 but x = −R

When x= R/3 d² V/dx² <0  V is max only when x= R/3

​∴   Max V= 1/3π(R² − R²/9 )(R+ R/3 )

= 32πR³/81

= 8/27 ( 4/3 πR³)

= 8/27 (volume of sphere)

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The amount that Mark should pay for his annual liability insurance premium given the table is $ 1, 946 .

The amount that Mark should pay for his annual liability insurance premium is based on his base rate as a 19 year old .

The formula for the annual liability insurance premium is :

=  ( Rating factor of Age - 2) x Base rate

= ( 3. 80) x 512

= $ 1, 946

In conclusion, the annual liability insurance premium to be paid by Mark who is 19, would be $ 1, 946.

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The smallest number of eggs that could have been in the box is 1134

The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:

Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:

n ≡ 1 (mod 2)

n ≡ 1 (mod 3)

n ≡ 1 (mod 4)

n ≡ 1 (mod 5)

n ≡ 1 (mod 6)

n ≡ 0 (mod 7)

For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.

Plugging these values into the formula and simplifying modulo 5040, we get:

n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040

n = (−8946) mod 5040

n = (−3906) mod 5040

n = 1134 mod 5040

Therefore, the smallest number of eggs that could have been in the box is 1134

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Answer: 3

Step-by-step explanation:

Distribute the 5: 15x-5=40

Add 5 from both sides: 15x=45

Divide 15 by both sides: 3

Answer:

a-3

Step-by-step explanation:

5(3x-1)=40

15x-5=40

15x=40+5

15x=45

x=45/15

x=3

There are 27,405 different groups of 4 people that a company can make from a pool of 30 individuals to send to a job site.

To determine the number of different groups of 4 people that can be made from a pool of 30 individuals, we can use the concept of combinations. In this scenario, order does not matter, and repetition is not allowed. We can calculate the number of combinations using the formula C(n, r) = n! / (r!(n-r)!), where n represents the total number of individuals and r represents the number of people in each group.

Using this formula, we can calculate C(30, 4) as follows:

C(30, 4) = 30! / (4!(30-4)!)

          = 30! / (4!26!)

Simplifying the expression, we get:

C(30, 4) = (30 * 29 * 28 * 27) / (4 * 3 * 2 * 1)

         = 27,405

Therefore, there are 27,405 different groups of 4 people that the company can make from the pool of 30 individuals to send to a job site.

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The most appropriate chart to show the change in average global temperature over the course of the 20th century in a presentation on climate change would be a time-series chart.

A time-series chart is designed to display data points over a continuous time interval. It is commonly used to visualize trends and patterns in data that are recorded over time. In the case of tracking average global temperature, a time-series chart would be ideal as it allows for the representation of temperature data points at different time intervals throughout the 20th century.

By using a time-series chart, each data point representing the average global temperature for a specific year can be plotted along the time axis. This would provide a clear visual representation of the temperature variations over time and enable viewers to observe any upward or downward trends in temperature.

On the other hand, a bar chart is more suitable for comparing categorical data or discrete variables, a scatter plot is ideal for visualizing the relationship between two continuous variables, and a frequency polygon is typically used to display the distribution of a single variable. Therefore, for showing the change in average global temperature over time, a time-series chart is the most appropriate choice.

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Answer:

A football is a sphere, so the formula for calculating its surface area is 4πr²

Hope it helps:)

Answer: 89

the 18th term is 4 + (18 - 1).5 = 4 + 17.5 = 89

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

formula: Tn= a+(n-1)d

T89= 4+(18-1)*5

T89= 4+(17*5)

4+85

=89

hoped this helped:)

The correct option is D, the value of the missing side x is 5.

If the two prism are similar, then there is a scale factor that when multiplied by the dimensions of the blue prism, we get the dimensions of the green one.

If that scale is k, then we can write:

3k = 15

Solving for k:

k = 15/3

k = 5

Now, the correspondent side to the one that measures x, has a measure of 1 unit (in the blue prism), then the value of x is:

1*k = x

1*5 = x

5 = x

The correct option is D.

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Answer:

Step-by-step explanation:

A(- 3, - 5) -----> A' (- 3 × 2 , - 5 × 2) = (- 6, - 10)

B(- 1, 0) -----> B' (- 1 × 2, 0 × 2) = ( - 2, 0)

C(- 3, 5) -----> C' ( - 3 × 2, 5 × 2 ) = (- 6, 10)

D(- 4, 0) -----> D' ( - 4 × 2, 0) = ( - 8, 0)

Answer:

-6,10

-2,0

-6,-10

-8,0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1. (-3.4, 2.3)

2. y=1/2x+4 and y=-2x-8

Answer:

Step-by-step explanation:

the answer is D for 1

B for (2)

Answer:

14.9 min

Step-by-step explanation:

r=rate

r25=5*7

r25=35

r=35/25

r=1.4

substitution

r160=t*15

t=time

r=1.4

1.4*160=t*15

224=t*15/15

224/15=t

14.9 min

The y as a function of t if 8y″+28y=0, y(0)=3,y′(0)=4. then y(t) = (3√2 cos(2√2 t) + 2√2 sin(2√2 t))

To find the solution for the given second-order linear homogeneous differential equation, we can assume a solution of the form y(t) = e^(rt), where r is a constant to be determined. Plugging this into the equation, we get the characteristic equation:

8r^2 + 28 = 0

Simplifying the equation, we have:

r^2 = -28/8 = -7/2

Since the problem does not handle complex numbers, we express the solution in terms of sines and cosines instead of using e to a complex power. The complex roots of the equation are ±i√(7/2).

Using Euler's formula, we can write the complex roots in terms of sines and cosines:

r₁ = i√(7/2) = i√(7/2) = √(7/2) (cos(π/2) + i sin(π/2))

r₂ = -i√(7/2) = -√(7/2) (cos(π/2) + i sin(π/2))

The general solution of the differential equation is given by:

y(t) = c₁e^(√(7/2)t) cos(√(7/2)t) + c₂e^(√(7/2)t) sin(√(7/2)t)

To find the particular solution, we can substitute the initial conditions into the general solution:

y(0) = c₁ cos(0) + c₂ sin(0) = c₁ = 3

y'(0) = c₁(-√(7/2)) sin(0) + c₂(√(7/2)) cos(0) = c₂(√(7/2)) = 4

Solving the equations, we find c₁ = 3 and c₂ = 4/√(7/2) = 4√2/√7 = 4√2/√7 * (√7/√7) = 4√14/7.

Therefore, the solution to the differential equation is:

y(t) = 3 cos(√(7/2)t) + (4√14/7) sin(√(7/2)t)

Simplifying further:

y(t) = (3√2 cos(2√2 t) + 2√2 sin(2√2 t))

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Cone surface area:

πr(r + s)

= 3,14 × 3 × (3 + 7)

= 3,14 × 3 × 10

= 9,42 × 10

= 94,2 m²

Nt: I from IDN

Stem and leaf diagrams can be used to analyze the shape of the data, determine how dispersed the data are, and observe individual data points.

The options given to us are:

1. Determine how dispresed the data are

2. Observe individual data points

3. Analyze the shape of the data

4. Analyze quantitative data

A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.

A stem and leaf plot is shown as a customised table with the first or final digit of each data value divided into a stem and the remaining digit in a leaf. The stem and leaf plot key is the symbol " | " that is used to display the stem and leaf values.

This, here, the right options are:

Option #1: Determine how dispresed the data are

Option #2: Observe individual data points

Option #3: Analyze the shape of the data

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Stem and leaf diagrams can be used to analyze the shape of the data, determine how dispersed the data are and observe individual data points.

The options given to us are:

1. Determine how dispersed the data are

2. Observe individual data points

3. Analyze the shape of the data

4. Analyze quantitative data

A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.

A stem and leaf plot is shown as a customised table with the first or final digit of each data value divided into a stem and the remaining digit in a leaf. The stem and leaf plot key is the symbol " | " that is used to display the stem and leaf values.

This, here, the right options are:

Option #1: Determine how dispresed the data are

Option #2: Observe individual data points

Option #3: Analyze the shape of the data

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Answer:

Answer:

2.215=2 43/200

Step-by-step explanation:

Showing the work

Rewrite the decimal number as a fraction with 1 in the denominator

2.215=2.215/1

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000

2.215/1×1000/1000=2215/1000

Find the Greatest Common Factor (GCF) of 2215 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 5,

2215÷5/1000÷5=443/200

Simplify the improper fraction,

=2 43/200

In conclusion,

2.215=2 43/200

Answer:

\(\frac{731}{330}\)

Step-by-step explanation:

We require 2 equations with the repeating numbers placed after the decimal point.

let x = 2.2151515... ( multiply both sides by 10 and 1000 )

10x = 22.1515.... → (1)

1000x = 2215.1515.... → (2)

Subtract (1) from (2) thus eliminating the repeating decimal

990x = 2193 ( divide both sides by 990 )

x = \(\frac{2193}{990}\) = \(\frac{731}{330}\)

Thus

2.2151515..... = \(\frac{731}{330}\)