If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two datapoints?

Answer:

Step-by-step explanation:

ax+d>o

that ax+d is greater than o

pls mark me branliest

Okay, here are the steps to solve this:

* The recipe calls for 1 teaspoon of cinnamon for every 4 cups of granola mix.

* We are making 12 cups of granola.

* So to make 12 cups, we need 12 / 4 = 3 times as much cinnamon.

* Since each 4 cups uses 1 teaspoon, 12 cups will need 3 teaspoons.

Therefore, for 12 cups of granola mix, the recipe will call for 3 teaspoons of cinnamon.

The distance between point C  (-3, 3) and point D (0, -4) is equal to: √58 units.

In Mathematics and Geometry, the distance between two (2) end points that are on a coordinate plane can be calculated by using the following mathematical equation:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represent the data points (coordinates) on a cartesian coordinate.

By substituting the given end points into the distance formula, we have the following;

Distance = √[(0 + 3)² + (-4 - 3)²]

Distance = √[(3)² + (-7)²]

Distance = √[9 + 49]

Distance = √58 units.

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The expression will be;

⇒ (x- 4)² - 11

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ x² - 8x + 5

Now,

Solve the expression as;

⇒ x² - 8x + 5

⇒ x² - 8x + 16 - 16 + 5

⇒ (x- 4)² - 11

Thus, The value of the expression = (x- 4)² - 11

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Answer:

simple.

Step-by-step explanation:

If you know the angle of a straight line, its 180. first, subtract 180-135. this wqould be 45. therefore, the interior angle is 45. We know that a triangles area always adds to 180, so it would be 45+x+74=180. this would be x=61. to check, add the same thing, 45+74, but instead of x add 61.

If Leila makes a dot plot of the heights of the girls in her class to the nearest ¹/₂ inch, the number of different heights that will include on the number line is 5.

A dot plot is a data visualization tool that consists of data points plotted as dots on a graph with an x- and y-axis.

The number of dots plotted on each number line shows the frequency of the data group.

Height    Frequency   Cumulative Frequency

56¹/₂             2                               2

57                 2                               4

57¹/₂             2                               6

58                2                               8

58¹/₂             1                               9

Thus, arranging the heights according to groups, the different heights on the number line can be classified into 5.

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Correlation (GPA, Income) =1. A sample correlation coefficient is called r, while a population correlation coefficient is called rho, the Greek letter ρ. The sample correlation coefficient uses the sample covariance between variables and their sample standard deviations.

 GPA Income (GPA-average)^2 (Income-average) ^2 GPA*Income

 3 6 1 4 18

 1 2 1 4 2

 2 4 0 0 8

average 2 4 0.666666667 2.666666667 9.333333

var(GPA) = average((GPA-average)^2) = 0.666

var(Income) = average((Income-average)^2) = 2.666

Correlation (x,y)=cov (x,y) /sqrt (var(x) * var(y))

Hence

cov (GPA, Income)= average (GPA* Income) - average(GPA)* average (Income)

=9.3333-2*4

=1.333

Correlation (GPA, Income)= cov (GPA, Income)/sqrt( var(GPA)*var(Income))

=1.333/sqrt(0.666*2.666)

=1

Correlation (GPA, Income) =1

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The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer:

1.4

Step-by-step explanation:

= [(4 x 2) + (2 x 3)] ÷ 2 x 5

= [8 + 6] / 10

= 14 / 10

= 1.4

A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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Hello!

The distance, d, is less than 200 miles.

B. d > 200

Answer:1760

Step-by-step explanation:

Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.

To close the expansionary gap, the government would need to decrease spending by $100 billion.

The formula to calculate the change in equilibrium output due to a change in government spending is:

∆Y = (∆G / (1 - MPC))

Where:

∆Y = change in equilibrium output

∆G = change in government spending

MPC = marginal propensity to consume

Here, the output is $400 billion above its natural level, and the central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out. Therefore, we can assume that the change in government spending (∆G) would have a one-to-one effect on the equilibrium output (∆Y).

Given that MPC = 3/4, we can plug in the values into the formula:

400 = (∆G / (1 - 3/4))

∆G = (1 - 3/4) * 400

∆G = (1/4) * 400

∆G = 100

Hence, to close the expansionary gap, the government would need to decrease spending by $100 billion.

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The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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Answer:

155.055

Step-by-step explanation:

hope this helps

Answer:

155.055

Step-by-step explanation:

Answer:

47.1cm²

Step-by-step explanation:

diameter=15cm

circumference of circle= d×3.14

circumference=15×3.14

circumference=47.1

Answer:

2.2 because the 2.2 can be 2.20

The number 2.2 is greater than 2.17.

To determine which number is greater between 2.17 and 2.2, we can compare the digits in each decimal number from left to right. Starting with the first decimal place, we compare the digits "1" and "2". Since 2 is greater than 1, we can conclude that 2.2 is greater than 2.17.

The decimal concept is a way of representing numbers that fall between whole numbers. It is based on the decimal system, which uses a base of 10. In the decimal system, a decimal point is used to separate the whole number part from the fractional part. The digits to the right of the decimal point represent fractions or parts of a whole. Decimals can also be expressed as percentages or fractions. For instance, 0.5 can be written as 50% or 1/2.

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Answer:

Concept:

The formula for the population density is given below as

The population given in the question is

Step 1:

To figure out the area of the shape, we will divide the shape into two parts as given in the image below

The area of part A will be calculated below as

The area of part B will be calculated below as

Hence,

The total area of the township will be

By substituting the values in the formula below, we will have

Hence,

The population density is approximately 4.4 people per square mile

Answer:

y=−3/2x+29/2

y=−23/16x+225/16

Step-by-step explanation:

The value of x is 4 and 0

Algebra is a branch of mathematics that helps translate real-world problems or situations into mathematical formulas. Mathematical operations like addition, subtraction, multiplication, and division as well as variables like x, y, and z are needed to construct a valid mathematical expression. Coordinate geometry, calculus, and trigonometry are just a few of the mathematics topics that involve algebra. A simple algebraic equation is 2x + 4 = 8. Algebraic expressions are the result of performing operations on variables and constants, such as addition, subtraction, multiplication, division, etc. Consider that James and Natalie came up with the notion to arrange matchsticks into numerical patterns when they were fiddling with them.

Given that : \((x-2)^{2} = 2\)

\((x-2)^{2} = 2\)

(x-2)=±2

x= 4

x=0

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Answer:

7

8

1

10

Step-by-step explanation:

the coefficient of x you look at x the number associated with x is the coefficient.same applies to z y and constant number independent of any letter

\(\boxed{A}\\\\ U=5(2n+22)+2\left( n+\cfrac{3}{2} \right) \\\\\\ U=10n+110+2n+3 \implies U=12n+113 \\\\[-0.35em] ~\dotfill\\\\ \boxed{B}\hspace{5em}\textit{in 2009, that's 9 years after 2000, n = 9}\\\\ U(9)=12(9)+113\implies U(9)=221 ~~ millions\)

Answer:-3

Step-by-step explanation:

Given

F(x)=-3 x +5

in the interval x=-1 to x=1

Average rate of change is given by

over x=a to x=b

F(1)=-3+5=2

F(-1)=3+5=8

Step-by-step explanation:

8 x x 2      first x can be  0 - 9   <==== 10 choices

                 second x can also be 0 -9    <====10 choices for each of the FIRST 10 choices

10 x 10 = 100 possible plates.

8 00 2

8012

8022

.

.

.

8 99 2

Answer:

a) see below

b) 100

Step-by-step explanation:

a)

8 _ _ 2

8002

8012

8022

8032

8042

8052

8062

8072

8082

8092

8002

8112

8122

8132

8142

8152

8162

8172

8182

8192

8202

8212

8222

8232

8242

8252

8262

8272

8282

8292

8302

8312

8322

8332

8342

8352

8362

8372

8382

8392

8402

8412

8422

8432

8442

8452

8462

8472

8482

8492

8502

8512

8522

8532

8542

8552

8562

8572

8582

8592

8602

8612

8622

8632

8642

8652

8662

8672

8682

8692

8702

8712

8722

8732

8742

8752

8762

8772

8782

8792

8802

8812

8822

8832

8842

8852

8862

8872

8882

8892

8902

8912

8922

8932

8942

8952

8962

8972

8982

8992

b) There are 100 different license plates.

Step-by-step explanation:

2/6=32/y

when you cross multiply, you will have

2y=6x32

2y=192

y=192/2

y= 96

Answer: there is 90 players in total

Step-by-step explanation:

6x 2= 12

78 + 12 = 90

Answer:

x=15

Step-by-step explanation:

6(x−2)=78 (or 6x−12=78), x=15