What is the ratio of their side lengths ? a. 1/27 b. 3/27 c. 1/9 d. 1/3

what is the ratio of their surface areas ? a. 1/27 b. 3/27 c. 1/9 d. 1/3

Since, a prime number is whole number higher than one that cannot be divided exactly by any other whole number than itself and one. No, there are many prime numbers.

A whole number higher than one that cannot be divided exactly by any other whole number than itself and one is a prime number.

Complete numbers the range of numbers that includes zero and natural numbers. not a decimal or fraction.

Prime number 2,5,7,13, ......

so there are multiple prime numbers.

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Answer:i think it is 7/3

Step-by-step explanation:

Answer: C. quadrant l

Step-by-step explanation:

Angle 694° lies Quadrant IV which is correct option (D)

A graph can be defined as a pictorial representation or a diagram that represents data or values

A quadrant is defined as an area contained by the x and y axes, which there are four quadrants in a graph.

For Quadrant  I : the value of x and y both are positive ( +,+ )

For Quadrant  II :  the value of x is negative and y is positive ( -,+ )

For Quadrant  III : the value of x is negative and y is negative ( -, - )

For Quadrant  IV : the value of x is positive and y is negative ( +, - )

Locate the quadrant of the angle.

If the angle is greater than 360°,

Subtract 360° until the angle is less than 360°.

⇒ 694 - 360

⇒ 334°

Hence, angle 694° lies Quadrant IV

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Answer:

-80

Step-by-step explanation:

We can write the quadratic as

ax^2 + bx+c

4x^2 +8x+9

a=4  b = 8  c=9

The discriminant is

b^2 -4ac

8^2 - 4(4)(9)

64 - 144

-80

Answer:

-80

Step-by-step explanation:

The discriminant is the value under the radical in the quadratic formula. The part of the quadratic formula that is under the radical is \(\sqrt{b^2-4ac}\). So, plug in the needed values and solve for what is under the radical. The b-value is 8; this squared is 64. Then, plug in a and c, 4 and 9. Then multiply these by 4, 4*4*9=144. Finally subtract, 64-144=-80.

#3.

Let's first make an equation out of the information given about Frank: y = -15x + 630.

Then, we can plug in 20 for x to find out how many bricks he has after 20 minutes.

-15(20) + 630 = 330

So, Frank has 330 bricks left after 20 minutes. If we look at the graph, find 20 minutes on the x-axis, and follow that up to where it meets with the line, we can see that Francis has only 320 bricks remaining after 20 minutes.

Therefore, Francis will have the fewest bricks left after 20 minutes.

#2.

First, we need a bit of information about both of the functions: the slope and y-intercept. The slope of function W is 1/2, and the y-intercept is -1. The slope of function Z is 1/4, and the y-intercept is -2. Now, let's take a look at the options.

1. False - 1/2 is greater than 1/4

2. True - 1/2 is greater than 1/4

3. False - -2 does not equal -1

4. False - -1 is greater than -2 (closer to 0)

5 & 6. False - The y-value when you plug -4 into function W is -3, and the y-value when you plug -4 into function Z is also -3.

#1.

This problem involves using the slope formula for functions A and B, and finding m in the equation for function C.

Slope of function A = 2

Slope of function B = 3/5

Slope of function C = 3

Therefore, in order from least to greatest is: B, A, C.

Hope this helps!! :)

Answer:

y-2x=8 (label equation 1)

16+4x=2y (label equation 2)

divide equation 2 by 2 to find y

y=2x+8

sub this in equation 1

(2x+8)-2x=8

2x+8-2x=8

8=8

once you get to this point because 8=8 there are an infinite number of solutions because you can't divide by 0. So the answer is B

The appropriate measures of center and variation are 13 and 4.

Measures of Center:

The appropriate measure of center for this data set is the median since there is no clear outlier present in the data. Hence, the value of median here is 13

Measures of Variation:

The appropriate measure of variation for this dataset is the range, which is the difference between the largest and smallest value in the dataset, Hence the value of range is 4

Since the data is small and there is no clear outlier present, the median is the appropriate measure of center. The range, which is the difference between the largest and smallest value in the dataset, is the appropriate measure of variation

Hence, the appropriate measures of center and variation are 13 and 4.

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The Value of the two constants K and R are 5 and 3 respectively.

a) To find u2, you can substitute u1 = 8 into the term-to-term rule to get:

u2 = 2u1 + 20 = 2(8) + 20 = 36

So u2 = 36.

b) To find the values of k and r, you can use the given values of u1, u2, and u3 to set up a system of equations. Using the term-to-term rule:

Substituting in the given values:

Solving for r and k, we get:

k = 5 and r = 3.

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Answer:

y=3x-2

Step-by-step explanation:

y-y0=m(x-x0)

y-4=3x-6

y=3x-2

\(\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)

Find the equation of a line that passes through (2,4) and has a gradient of 3.

\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

First, let's take a look at our provided information.

| Provided information:-

\(\bigstar\) On simplification,

\(\bigstar\) On further simplification,

Which results in:-

\(\rule{300}{1}\)

Answer:

44 = 2 x 22, 2 is prime.

22 = 2 x 11, 2 and 11 are prime.

So, writing 44 as a product of primes is: 2 x 2 x 11, or 2^2 x 11.

Let me know if this helps!

Answer:

4) SU = TU                    definition of a midpoint

5) ΔSVU ≅ ΔTWU        Side-Side-Side

6) ∠SVU ≅ ∠TWU        corresponding parts of congruent triangles are congruent

Step-by-step explanation:

Answer:

Step-by-step explanation:

Parent function:

Transformed function:

Transformation applied:

Correct answer choice is:

In throwing a dice, there are 6 possible outcomes, namely 1, 2, 3, 4, 5 and 6.

P=(no. of favourable outcomes)/(no. of possible outcomes)

When we multiply the probability of an event with no. of trials, the we get the expected frequency of that event.

1) P(getting 1)=1/6

expected frequency of getting 1

=P(getting)1)×no. of trials

=1/6×600=100

But it is given that one is scored 200 times, so it makes a large difference from expected frequency, which is 100.

Therefore, the dice is not fair.

2) P(getting a tail)=0.3

estimate for the number of times the coin will land on a tail

=expected frequency of getting a tail

=P(getting a tail)×no. of trials

=0.3×150=45

3)P(getting a six)=2/3

expected frequency of getting a six

=P(getting a six)×no. of trials

=2/3×300=200

4)P(getting a three)=0.5

expected frequency of getting a three

=P(getting a three)×350

=0.5×350=175

The general strategy for solving an equation of the form

is to multiply both sides by a, provided a and b are numerical constants, and x is unknown. This gives

Hence, the correct option is C

Answer:

i think its d

Step-by-step explanation:

answer is in the photo. lmk if you want the solution steps.

To grpah the given sytem of linear equations:

1. Find two points (x,y) in each line (each equation):

- First equation:

Find the value of x when y is 0:

First point (-1.5, 0)

Find the value of y when x is 0:

Second point (0,3)

- Second equation:

Find the value of x when y is 0:

First point (1,0)

Find the valueo of y when x is 0:

Second point (0, -1)

2. Graph each line using the two corresponding points:

Put the points in the plane and draw a line that passes through it.

First equation, points: (-1.5, 0) and ( 0,3)

Second equation, points: (1,0) and (0,-1)

3. Find the solution for the system.

The volume of the cone that has a height of 9 yards and a base diameter of 10 yards will be 235.5 cubic yards.

Let h be the height of the cone and A be the base area of the cone.

Then the volume of the cone will be

Volume = (1/3) × A × h

The diameter of the base circle is 10 yards. Then the area of the base circle is given as,

A = (π/4) d²

A = (3.14 / 4)(10)²

A = 0.785 x 100

A = 78.5 square yards

The height of the cone is 9 yards. Then the volume of the cone is given as,

V = (1/3) x 78.5 x 9

V = 78.5 x 3

V = 235.5 cubic yards

The volume of the cone that has a height of 9 yards and a base diameter of 10 yards will be 235.5 cubic yards.

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Answer:

1) \(\frac{6+\sqrt{6} }{2}\)       2) \(-3 + \sqrt{12}\)

Step-by-step explanation:

Please ignore the squiggle in the middle of the page.

Please mark brainliest when you’re able :)  

Answer:

1) ( 6+\(\sqrt{6}\) ) / 2                 2) 2 \(\sqrt{3}\) - 3

Step-by-step explanation:

I got the same thing as the other person, but typing it out would take forever just to give you the same result.

You do use a technique called rationalizing a denominator to eliminate the radical. The point of rationalizing a denominator is to make it easier to understand what the quantity really is by removing radicals from the denominators.

1) ( 6+\(\sqrt{6}\) ) / 2

2) I got the same answer but I put in 1 more step. It looks like the person caught it though.

From the -3 + \(\sqrt{12}\)    

-3 + \(\sqrt{4} \sqrt{3}\)

-3 + 2 \(\sqrt{3}\)     Rearrange

2 \(\sqrt{3}\) - 3

Answer:

(7, -1)

Step-by-step explanation:

3x + 7y = 14

y = x - 8

3x + 7(x - 8) = 14

3x + 7x - 56 = 14

10x - 56 = 14

Add 56 to both sides.

10x = 70

Divide both sides by 10.

x = 7

3(7) + 7y = 14

21 + 7y = 14

Subtract 21 from both sides.

7y = -7

Divide both sides by 7.

y = -1

(7, -1)

To describe the region of a slice of pizza in the first quadrant using rectangular coordinates, we need to determine the equations that define the boundaries of the region.

Since the pizza is a circle with a radius of 1 foot and the slice is 1/8 of the circle, the angle of the slice is 45 degrees. We can use this information to determine the coordinates of the two points that define the slice: (1, 0) and (cos(45), sin(45)) = (√2/2, √2/2). Thus, the region can be described by the following set of inequalities:

0 ≤ x ≤ √2/2

0 ≤ y ≤ x

These inequalities define the region in the first quadrant that corresponds to a slice of pizza with 1/8 of a circle of radius 1 foot.

In summary, to describe the region of a slice of pizza in the first quadrant using rectangular coordinates, we determined the equations that define the boundaries of the region. Since the pizza is a circle with a radius of 1 foot and the slice is 1/8 of the circle, we used the angle of the slice to determine the coordinates of the two points that define the slice.

Then, we used these coordinates to write the set of inequalities that describe the region. These inequalities are 0 ≤ x ≤ √2/2 and 0 ≤ y ≤ x, which represent the range of values for x and y that satisfy the conditions for a slice of pizza.

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Answer:

Try ABECFDGHI

Step-by-step explanation:

Im going FROM left to right

We will find the sum of 3+ 1 1/2 with help of a

Answer: 1 / 12

Step-by-step explanation:

1 / 4 x 1 / 3 = 1 / 12

Answer:

1/12 if you do keep change flip

Answer: The zeros are:  1/2 , 2 , -6

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

15/15=1

Question: How does advertising expenditure (X_2) affect the quantity demanded (Q_t) based on the given demand function?

To investigate the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) using the given demand function, we need to understand the steps involved:

Begin by understanding the demand function: The demand function is expressed as Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt. It represents the quantity demanded (Q_t) as a function of market price (P_t), an exogenous variable X_1, and an error term E_Dt.

Introduce the new exogenous variable: In this case, we introduce advertising expenditure (X_2) as an additional exogenous variable. We want to investigate how this variable affects the quantity demanded.

Analyze the coefficient: The coefficient a_2 in the demand function represents the impact of X_1 on the quantity demanded. However, since we introduced a new exogenous variable X_2, we need to estimate the impact of X_2 on Q_t. By analyzing the coefficient a_2, we can determine the direction and magnitude of this relationship.

Conduct statistical analysis: To quantify the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t), statistical analysis such as regression can be performed. By estimating the coefficients and conducting hypothesis tests, we can determine if X_2 has a statistically significant impact on Q_t.

Interpret the results: Based on the statistical analysis, we can interpret the results and draw conclusions regarding the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t). The coefficient estimate and its statistical significance will provide insights into the direction and strength of this relationship.

In summary, by incorporating advertising expenditure (X_2) into the demand function and conducting statistical analysis, we can assess its impact on the quantity demanded (Q_t) and draw meaningful conclusions regarding the relationship between the two variables.

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The complete question may be like:

5 marks] Consider the following demand function for the quantity demanded of product Q_t as a function of its market price P_t:

Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt

where a_o, α_1, a_2, and E_Dt are parameters. X_1 represents an exogenous variable that affects the quantity demanded.

Now, let's imagine that you are a researcher studying the demand for a specific product, and you want to investigate the impact of advertising expenditure (represented by an exogenous variable, X_2) on the quantity demanded.

Formulate a question that addresses the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) based on the given demand function.