Here is a table of values. The two quantities, x and y, are related.

What are some strategies you could use to find a relationship
between x and y?

Brainstorm as many ways as possible.

Hello!

Five times x increased by three times y is  5x + 3y

Answer:

Hello,

p=4

q=7

Step-by-step explanation:

The vertex of the parabola is (-2,3)

Equation of the parabola is  k(x+2)²+3=x²+px+q

Let's identify the coefficients:

kx²+4kx+4k+3=x²+px+q

so

k=1

4*1=p

4*1+3=q

The values of the coefficients for the equation of the parabola are p = 4, and q = 7.

Given that,

vertex of the parabola is (-2,3)

The equation of the parabola is given as:

k(x + 2)² + 3 = x² + px + q

Substitute the value of k = 1 into the equation:

(x + 2)² + 3 = x² + px + q

Now, let's expand (x + 2)²:

(x + 2)² = x² + 4x + 4

Substitute this back into the equation:

x² + 4x + 4 + 3 = x² + px + q

Now, simplify the equation:

x² + 4x + 7 = x² + px + q

Now, let's identify the coefficients:

Coefficient of x²:

1 = 1

Coefficient of x:

4 = p

Constant term:

7 = q

Therefore, the values of the coefficients are p = 4, and q = 7.

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Answer:

54 Stars

Step-by-step explanation:

Step 1:

60 mins = 1 Hour

Step 1:

10 × 6 = 60

Step 2:

9 × 6 = 54

Answer:

54 Stars

Hope This Helps :)

Answer:

54

In 1min star cutted= 9÷10

So in 1 hr or in60 min star cutted =60×9÷10

=54

To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.

The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.

To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.

The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.

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The approximate value of x in the equation 5 to the power of 2x=20 is 0.93

From the question, we have the following parameters that can be used in our computation:

5 to the power of 2x=20

As an expression, we have

5^(2x) = 20

Take the natural logarithm of both sides

so, we have the following representation

2x = ln(20)/ln(5)

Evaluate the quotients

This gives

2x = 1.86

So, we have

x = 0.93

Hence, the value of x is 0.93

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For nonpharmacologic treatment, tropical non-steroidal anti-inflammatory drugs (NSAIDs) should be considered.

Therefore option (A) Topical non-steroidal anti-inflammatory drugs (NSAIDs) is the correct answer.

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The complete question is:

Karen Lee, a 63-year-old woman, has osteoarthritis. What nonpharmacologic treatment should be considered? Select the best answer.

A) Topical non-steroidal anti-inflammatory drugs (NSAIDs)

B) Exercise

C) Intra-articular glucocorticoid injections

D) Acetaminophen

Answer:x+1.5y=21

Step-by-step explanation:

We know that a pencil is $1, so let's represent that as 1x or just x. We also know that each pen costs $1.50, and let's represent this as 1.5y for the number of pens Stella bought. Your equation would be x+1.5y=21.

Answer:

72.98

Step-by-step explanation:

in the picture shows you the formula for the area of a triangle

Answer:

See below

Step-by-step explanation:

Take your compass and put the sharp end on D, then open it up so the pencil end is on E. Now keep the sharp point on D and draw a part of a circle from E going down to at least halfway between D and E. Now do the same thing from Point E with the part of the circle going from D to at least half way. Where the 2 circles meet is the vertex of the other 2 sides. Connect that point to both D and E.

Answer:

a=25

angle abq=139 degrees

bcr=41

Step-by-step explanation:

(2a-9)+(5a+14)=180

7a+5=180

7a=175

a=25

2(25)-9=41

180-41=139

angle abq=139 degrees

bcr=41

Answer:

divide the monthly payments by the hire purchase

Step-by-step explanation:

this may be what your asking

Answer:

a) (2, 0.5)  (4, 1)

b) V(n) = 0.25n

c) $2.50

d) # quarters = independent

value = dependent

Step-by-step explanation:

The independent value is the number of quarters and the dependent variable is the value of cents and the  equation that represents this function is,

\(v(n)=25\times n\rm \;\;cents\)

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used to represent the general problem in the mathematical way to solve them.

Steps to write down the simple algebraic expression-

There is total 25 cent is 1 quarter. Thus, when if there are 2 quarters, then the value of cent is 50 and when there are 4 quarters, then the value of cents is 100 cents.

Hence, the two pairs should be as,

(2, 50), (4, 100)

As, v is the value of quarters in cents. There is total 25 cent is 1 quarter. The total quarter is n. Thus, the function can be given as,

\(v(n)=25\times n\rm \;\;cents\)

Put the value 10 on the place of n in the above equation as,

\(v(10)=25\times (10)\\v(10)=250\rm cents\)

The output when the input is 10 is 250 cents.

The independent value is the number of quarters and the dependent variable is the value of cents.

Hence, the independent value is the number of quarters and the dependent variable is the value of cents and the  equation that represents this function is,

\(v(n)=25\times n\rm \;\;cents\)

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Answer:

1 yard

Step-by-step explanation:

Let b represent the amount of blue fabric and r represent the amount of red fabric.

Given;

Jessi has 9 feet of blue fabric

b = 9 ft

She need one third of that amount in red fabric.

r = 1/3 × b

Substituting the value of b;

The amount of red fabric needed r is;

r = 1/3 × 9 = 3 ft

Since they sell in yards , we need to convert it to yards.

1 yard = 3 feets

Therefore,

r = 3 ft × 1/3 yard per ft

r = 1 yard

Answer:

y = 4

Step-by-step explanation:

8 ÷ -4 = -2

so, multiply each side by -2

-2 x -2 = 4

when x = 8, y = 4

Answer:

Your friend completes 1 level in 9 hours

Answer: 1 level in 9 hours 45/5 is 9 so it takes 9 hours to finish a level that means he can only do one level in 9 hours

Step-by-step explanation:

On solving the provided question, we got to know that, Blenders sold as a percentage of food processors sold is 30/20, or 3/2.

Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.

Compared to mixers, the dealer sold twice as many food processors.

Let M be the quantity of mixers sold.

Therefore, 2M is the quantity of food processors sold.

A total of 60 of the three appliances were sold by the dealer.

M + 2M = 3M

Thus, 3M is a representation of the whole sales of mixers and food processors.

60 appliances were purchased in total, thus 60 - 3M equals the quantity of blenders purchased.

Everything was sold by the merchant for a total of $4,200.

We get: (30)(M) + (120)(2M) + (50)(60 - 3M) = 4,200

30M + 240M + 3000 - 150M = 4200

130M + 3000 = 4200

120M = 1200

M = 10

The retailer so sold 10 mixers.

This indicates that the vendor sold 20 food processors and 30 food processors.

Blenders sold as a percentage of food processors sold is 30/20, or 3/2.

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Answer:

45 cashews

Step-by-step explanation:

9:3:1

Add them together to get 13

195÷13= 15

15×3= 45

Using the principle of proportional relationship, the total recommended daily amount of fiber is  34.4 grams

Let x be the recommended daily amount ( in grams ) of the fiber,

So, 32% of x = \(\frac{32}{100}x\) = 0.32x

According to the question,

11 grams is 32% of the recommended daily amount of fiber,

That is, 0.32x = 11

x = 11/0.32 = 34.4 grams

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The statistical technique that should be selected to examine the difference between the average scores of three unrelated groups is the Analysis of Variance (ANOVA).

An ANOVA is a statistical test that can be used to examine the difference between the means of two or more groups. It is a type of inferential statistical method that is used to test the null hypothesis that the means of two or more populations are equal.The ANOVA test helps to determine whether there is a statistically significant difference between the means of the groups being compared. It is a more powerful method than the t-test, which can only be used to compare the means of two groups. ANOVA is used when there are more than two groups to be compared.ANOVA is a robust statistical method that can be used to test various hypotheses, such as whether there is a difference in the means of the groups, whether there is a trend across the groups, and whether there is an interaction between the groups. ANOVA helps in the analysis of the main effects and interactions between the independent variables and dependent variables.ANOVA is a very useful statistical technique that has wide applications in research, including in social sciences, business, education, and health. ANOVA provides a clear and concise way of comparing means and assessing the significance of differences between groups.

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The equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

\(\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\\)

The missing information, not present in this question are:

Since for the triangle GFE, if we look from the angle ∠GFE, the sides given are hypotenuse FG and the base FE.

Thus, we can use cosine ratio, and then its inverse to find the value of angle θ.

Thus, we get:

\(\cos(\theta) = \dfrac{|FE|}{|FG|} = \dfrac{11.9}{14.5} \\\\\theta = \cos^{-1}\left(\dfrac{11.9}{14.5}\right)\\\\\)

Thus, the equation that can be used to find the measure of angle GFE is given by: Option B: cos−1(11.9/14.5) = θ

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Answer:

option B

Step-by-step explanation:

Given the length and the expression that represents the width of a rectangle, you need to remember that:

• The area of a rectangle can be calculated by multiplying its dimensions:

Where "l" is the length and "w" is the width.

• The perimeter of a rectangle is:

Where "l" is the length and "w" is the width.

Then, knowing that:

- You can set up that the area of this rectangle is:

Simplifying, you get:

- And the perimeter is:

Hence, the answer is:

- The area is:

- The perimeter is:

The total income is represented by: 5r - 2c - 3p

The rent is $500 (r = 500)

The cable bill is $80 (c = 80)

The phone bill is $40 (p = 40)

Replacing these data into the equation, we get:

Income = 5(500) - 2(80) - 3(40)

Income = 2500 - 160 - 120

Income = $2220

Answer:

the answer is no solution

The measure of arc XZ is 115 degrees and  measure of arc XYZ is 245 degrees

The given circle has a centre W

The measure of central angle is 115 degrees

We have to find the measure of the arc XZ

The central angle is equal to measure of the arc

115 = measure of arc XZ

Arc XZ =115 degrees

We know that the circle has a measure of 360 degrees

So the remaining angle is 360-115 = 245 degrees

The measure of arc XYZ is 245 degrees

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Answer:

HI

Step-by-step explanation:

U got this (:

Answer:

1/4

Step-by-step explanation:

rise=y        it takes him 4 minutes to run 1 km   so rise over run would be  1//4

run=x

and him running 1 minute is half a meter

or do you need slope fomula

this is not the clearest photo so it might be wrong but i hope this clears some up please mark brainlest

TRUE. In a free body diagram, a roller support is replaced by two reaction forces.

A roller support is a type of support that allows a structure to rotate or move along a surface without any resistance to translation. It provides support in the perpendicular direction to the surface, but allows movement in the parallel direction.

To represent a roller support in a free body diagram, two reaction forces are used. One force acts perpendicular to the surface and is known as the normal force. This force prevents the structure from sinking into the surface. The other force acts parallel to the surface and is known as the frictional force. This force prevents the structure from sliding along the surface.

By including these two reaction forces in the free body diagram, the roller support is accurately represented, taking into account the constraints it imposes on the structure.

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Answer:

the temperature at 7:00 p.m. was -11°F.

Step-by-step explanation:

At 2:00 p.m., the temperature was -15°F + 8°F = -7°F.

Over the next 5 hours, the temperature dropped 4 degrees, so at 7:00 p.m., the temperature was:

-7°F - 4°F = -11°F.

Therefore, the temperature at 7:00 p.m. was -11°F.