Select the correct answer from each drop-down menu.A seashell has the dimensions shown.5 in10 in.What figure best models the shell, and what is the approximate surface area of the shell?The shell is best modeled by aThe approximate surface area of the shell issquare inches.

To check the bigger or smaller number, we can adjust the numbers such that they both have the same exponential power.

The first number can be written as shown below:

Now, both numbers have the same exponent. Therefore, we can compare the numbers 43 and 12.1.

Observation of the numbers on the number line shows that:

Therefore, we have that:

The correct option is OPTION A.

x = 18 in the equation given in the question that is 1/2x-7=1/3(x-12).

Simple equations is a linear equation involving variables with degree one. It contains mainly one variable.

Part A -

⇒ 1/2x-7=1/3(x-12)

⇒ 1/2x-7 = x/3 - 4

⇒ x/2 - x/3 = -4 + 7

⇒ 3x - 2x/6 = 3

⇒ x/6 = 3

⇒ x = 18

Part B -

According to equation 1/2x-7=1/3(x-12) we need to find x . So, first we open the brackets on the right hand side and then bring the variables to the l.h.s and the constants to the r.h.s . After that we take the lcm of x/2 and x/3 and equate it to 3. Then we get the value of x as 18.

Hence, x = 18 in the equation 1/2x-7=1/3(x-12).

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Given 3 easels for every 5 children

So, there are x easels for 25 children

Using the ratio and the proportional

3 : 5 = x : 25

so, solve for x

So, the number of easels for 25 children = 15 easels

Answer:

triangle abc is has same degres of angles with triangle def, but def is smaller in 3 times. it's only what i know, sorry if i not help

i think yea, they has a same angles, but def smaller in 3 times so i think yes

The correct answer is C. (4/3)

Fraction calculation steps:

6/7 ÷ 36/56 = 6/7 × 56/36 = (6×56)/(7×36) = 336/252

(336÷84)/(252÷84) = 4/3

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Simplify each of the expressions

Answer: Jalen has more string then Kelly

Step-by-step explanation:

Converting Kelly's string from yards, to inches to match up with Kelly's length of string we use the formula:

#yd = (# × 36) = total amount of "

Inputting the information in the formula, It'd look like this:

5 yd = (5 × 36) = 108"

therefore, from this information the answer to the question, is Jalen.

Given the points:

We need to reflect the points over the line y = x

The rule of reflection is as follows:

So, the points after reflection will be:

We have the following vertices given:

A(-3,6), B=(6,0), C(9,-9), D=(0,-3)

a) We can begin find the distance between two points using this formula:

For this case we need to find the distance between AD and BC and using the formula given we have:

We see that both distances are equal. Now we can calculate the slopes for AD and BC and we got using this formula:

Then we can conclude that the quadrilateral is a paralellogram because it has one pair of opposite sides that both congruent and parallel

b) For this problem is not a rhombus because not all the distances AB, AC, AD, BC and CD are equal

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]

Given:

D is an acute angle

Find-:

The value of D

Explanation-:

The angle D is:

The value of the nearest tenth is 50.2

Given that each bus ride is $3, and that assuming the takes the ride twice a day,

If he takes the ride in the same manner for 11 days,

Thus, he needs $66 to ride the bus twice for 11 days.

Since Clay has $50, he will not be able to ride the bus twice for 11 days.

Hence, the correct answer is False

Integers are whole numbers, either positive or negative. In this scenario, the time can include fractions like 2.5. The values can range from 0 upwards

Thus, the correct option is the first one

We have to use the equation

Where r = 12 mph, d = 20 miles, let's find t.

She'll take 5/3 hours to get there which is equivalent to 1 2/3 hours.

Let's transform 2/3 hours to minutes to find the exact time she has to leave.

We know that 1 hour is 60 minutes.

So, she will take exactly 1 hour and 40 minutes.

Answer:

50

Step-by-step explanation:

Use the formula: m<1 = 1/2(140-40) = 50

See attachment

The formula for the volume of the cylinder is given by:

Where:

r = radius

h = length of height

Substitute the given values:

And solve for h:

Answer: 9 cm

Using the cross-multiplication method, we know that the house which costs £3.37  has a value of £4,493.33.

So, the value of the house costs £3.37:

Now, use the cross-multiplication method as follows:

Therefore, using the cross-multiplication method, we know that the house which costs £3.37  has a value of £4,493.33.

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Correct question:

To ensure a house valued at £3000 costs £2.25. Find the value of a house that costs £3.37.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

[tex]\begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{year}&\stackrel{y}{wage}\\ \cline{1-2} 1991&4.25\\ 1997&5.15\\ \cline{1-2} \end{array} \hspace{5em} (\stackrel{x_1}{1991}~,~\stackrel{y_1}{4.25})\qquad (\stackrel{x_2}{1997}~,~\stackrel{y_2}{5.15}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5.15}-\stackrel{y1}{4.25}}}{\underset{run} {\underset{x_2}{1997}-\underset{x_1}{1991}}} \implies \cfrac{0.90}{6}\implies \cfrac{0.15}{1}\implies 0.15~\frac{\$}{year}[/tex]

The given expression : (x + 1)(x + 3)(x + 5) can be written as (x³ + 9x² + 23x + 15)

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

(x + 1)(x + 3)(x + 5)

We have -

(x + 1)(x + 3)(x + 5)

x{(x + 3)(x + 5)} + 1{(x + 3)(x + 5)}

x(x + 3)(x + 5) + (x + 3)(x + 5)

(x² + 3x)(x + 5) + (x + 3)(x + 5)

x²(x + 5) + 3x(x + 5) + x(x + 5) + 3(x + 5)

x³ + 5x² + 3x² + 15x + x² + 5x + 3x + 15

x³ + 9x² + 23x + 15

which is same of the form

ax³ + bx² + cx + d

Therefore, the given expression : (x + 1)(x + 3)(x + 5) can be written as (x³ + 9x² + 23x + 15)

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Solution

- The shirt shrank a little. This implies that when you take the ratio of the dimensions of the shrunk shirt, and that of the original shirt.

- This would mean that the scale factor (the result from the above ratio), would be less than 1. But it would not be that much less than 1.

- Thus, the possible scale factor is 0.9

Answer:

5

Step-by-step explanation:

Example: Anything 0.49 and under rounds to 0. Anything 0.5 and up rounds to 1.

Given:

The number 5.32.

To find:

Its approximate value when rounded to the nearest whole number.

Explanation:

In the number: 5.32. To round it to the nearest whole number means to remove the decimal part but following the rules of approximation.

When rounding to the nearest whole number:

In this case, the number after the decimal point is 3, therefore: 5.32=5

Answer: The number 5.32 rounded to the nearest whole number is 5.

y= 2x-3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

Which statement best explains whether y = 2x − 3 is a linear function or a nonlinear function?

it is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.

It is a nonlinear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are not on a straight line.

It is a linear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are on a straight line.

It is a nonlinear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are not on a straight line.

A linear equation has the following form:

y = mx + b

where

m is the slope

b is the y-intercept.

Given:

y = 2x - 3

by comparing it with linear equation,

y = y

m = 2

x = x

b = -3

so by this we can conclude that

y = 2x -3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line

You can also perform a vertical line test. If the line touches your graphed function in more than one spot, it is not a function.

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After using the linear regression we would have the value for a and b. a and b represent the slope (a) of a line and the y-intercept (b).

To find the values of the equation we must round the results of the linear regression to the nearest integer

a would be equal to -2 as the number -1.96341463 is nearer to -2 than -1.

b would be equal to 19 as the number 19.09756098 is nearer to 19 than 20.

The final equation would be:

y= -2x + 19

The graph of equations [3x + 9y = 15] and [y = mx - 4] are not parallel and the value of m is 13/3.

So, the graph of the equations:

The value of m:

Now,

Now, solve for m as follows:

Now, plot the graph as follows:

It is clearly visible that the lines of both equations are not parallel.

Therefore, the graph of equations [3x + 9y = 15] and [y = mx - 4] are not parallel and the value of m is 13/3.

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a) Doubling time of the population.

Initial population = 4

Doubling = 2 x 4 = 8

Then, solve for t:

Apply the exponent laws:

Answer a: 23 years

b) Initial population = 4

Triple the population = 3 x 4 = 12

Therefore:

Answer b: 37 years

c) Initial population = 4

Quadruple the population = 4 x 4 = 16

So:

Answer c: 46 years

AnsweStep-by-step explanation:

9134

Answer:

Step-by-step explanation:

the suv question the first option would make the suv go from 13 mpg to 14 mpg and add 14 to 60 to get 74 and divided by 2 to get 37 is their average mpg

Options two would make the hybrid 85 mpg and the suv still 13 add them together to get 98 and divide them by 2 to get 49

Option 2 will give more mileage

paddle boat question

10/14+x=5/14-x

Cross multiply

10(14-x)=5(14+x)

140-10x=70+5x

70=15x

70/15=x

X=4.7 is the speed of the current

Please don’t quote me on this paddle boat one XD

Hopes this helps

When we look for the constant rate of change, we subtract the first two y-values in the first place:

Using the formula of volume of cylinder, the volume of the jar is 1130.4 cube inches.

In the given question we have to find the volume of the jar.

From the question,

A cylindrical jar has a radius of 6 inches

So r=6 inches

A cylindrical jar has a height of 10 inches

So h=10 inches

The jar is filled with marbles that have a volume of 20 cube inches.

As we know that the volume of cylinder is

V=πr^2h

where V= volume of cylinder

r = radius

h= height

π=3.14

Putting the value

V=3.14*(6)^2*10

V=3.14*36*10

V=1130.4 cube inches

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The graph that represents the function g(x) = (1/2)^x is given as follows:

The last graph.

The parent function f(x) has the definition presented as follows:

f(x) = 2^x.

The transformation that the function f(x) undergoes is defined as follows:

Reflection over the y-axis.

The rule that defines a function g(x) after a reflection of f(x) over the y-axis is given as follows:

g(x) = f(-x).

Hence the function g(x) is defined as follows:

g(x) = f(-x) = 2^(-x) = (1/2)^x.

As the negative exponent means that the base is inverted.

Then the graph of the exponential function has these following features:

Hence the last graph is the correct option.

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