A cake recipe calls for 2 1/3 cups of flour. If Gloria is planning on making 6 cakes for a bake sale, how many cups of flour will she need?

Answer:

[tex]a = - 25.5 \\ b = - 4 \\ c = 12 \\ d = - 8[/tex]

Tracy gets $1299.375 interest after 8 years and 3 months for an investment of  $3,500 at a 4.5% annual interest rate.

What is Simple Interest?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

The formula for calculating Simple Interest is -

S.I. = (P×R×T)/100

where, P = initial principal balance, R = annual interest rate and T = time (in years)

So, the principal rate, P = $3,500, the interest value, R = 4.5%, and the Time is T= 8.25 years.

Applying the formula for Simple Interest -

S.I. = (P×R×T)/100

S.I. = (3500×4.5×8.25)/100

S.I. = 1299.375

Therefore, the interest amount obtained is $1299.375.

To learn more about Simple Interest from the given link

https://brainly.com/question/25793394

#SPJ1

The average value of f is 16.25.

A contour line of a function of two variables is a curve along which the function has a constant value, so that the curve joins points of equal value. It is a plane section of the three-dimensional graph of the function f parallel to the-plane.

Given that, a contour map is shown for a function f on the square R = [0, 8] [0, 8].

Since the given square is 8 by 8 and we are using m=n=2, then each sub-rectangle is 4 by 4. So, the area of the given rectangle is 64 and the area of each sub-rectangle is 16, that is, ΔA=16

Furthermore, the centers of the sub-rectangles are (2,2),(2,6),(6,2),(6,6).

a) The estimated value of [tex]\int\limits\int\limits_R f{x} \, dA[/tex]

=16⋅f(2,2)+16⋅f(2,6)+16⋅f(6,2)+16⋅f(6,6)

≈16⋅27+16⋅3+16⋅12+16⋅23

≈1040

b) The average value of f will be

[tex]f_{avg}=\frac{1}{A}.\int\limits\int\limits_R (x, y) \, dA[/tex]

≈ 1/64 ×1040

≈ 16.25

Therefore, the average value of f is 16.25.

Learn more about the contour map here:

https://brainly.com/question/15942208.

#SPJ1

Answer:

5. F, G, L, and A are the vertices.

6. The answer is isosceles trapezoid.

If two obtuse angles are next to each other (100° and 100°) and followed by two acute angles next to each other as well ((80° and 80°), the shape is trapezoid. Trapezoid is quadrilateral shape that has a pair of parallel sides parallel. When angles on each of its base are equal, trapezoid is called isosceles trapezoid.

7. No. A trapezoid is a quadrilateral, and therefore must have an interior angle sum of 360 degrees.  Any obtuse angles must be offset by acute ones, unless they’re all right angles/it’s a rectangle.

91 + 91 + 91 + 91 = 364 > 360.

An obtuse angle always lies between 90° and 180°.

Step-by-step explanation:

Have a nice day!

9514 1404 393

Answer:

Step-by-step explanation:

The first term is -80, so the first part of the recursive definition is ...

  a[1] = -80

The common ratio is 20/-80 = -1/4, so the recursive rule is ...

  a[n] = (-1/4)a[n-1]

Answer:

The World Health Organization (WHO) defines health as 'a state of complete physical, mental and social wellbeing and not merely the absence of disease or infirmity'

Answer:

it is

190850

it is the correct answer

Step-by-step explanation:

1,90,850 is your answer...

hope it helps

Answer: Correct

Step-by-step explanation:

20.945649350649 c = 9 dry pt, Four pints equal nine cups. The metric system uses the litre and millilitre as the units of capacity. By dividing by 11000, we may convert millilitres into litres.

In the United States, ounces, cups, pints, quarts, and gallons are the commonly used measurement units for capacity or volume. Cups, pints, quarts, and gallons are some of the volume or capacity measuring units used in the United States. 8 fluid ounces are the equivalent of 1 cup. There are 2 cups in a pint. 1 quart equals 2 pints.

The solution is clear cut and simple to remember when dealing with liquids. Eight fluid ounces make up one cup, which is the unit of measurement for liquids. Every liquid has this property. The solution is clear cut and simple to remember when dealing with liquids. Eight fluid ounces make up one cup, which is the unit of measurement for liquids. For all liquids, this is true. 4 pints are equal to 9 cups.

To learn more about Customary American Units refer to :

https://brainly.com/question/19418119

#SPJ1

9514 1404 393

Answer:

  9/8

Step-by-step explanation:

The triangles are similar, so corresponding sides are proportional.

  AB/CB = AD/ED

  x/1 = (x+9)/9

  9x = x +9 . . . . . . multiply by 9

  8x = 9 . . . . . . . . .subtract x

  x = 9/8 . . . . . . . . divide by 8

Therefore , as a result Two of a triangle's sides and the included  SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.

The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.

Here,

if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.

Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.

To know more about SAS visit :-

brainly.com/question/28035848

#SPJ1

The line segment AB is d = [tex]\sqrt{106}[/tex] in  length if (-5, 4) and (B), and A = (-5 , 0) .  A line segment is hence a section or component of a line with two endpoints.

A line segment in geometry is bordered by two separate points on a line. A line segment has two fixed or distinct endpoints, whereas a line has no endpoints and can stretch in both directions indefinitely. A line segment is hence a section or component of a line with two endpoints. A line segment, unlike a line, has a set length. Measuring the length of a line segment can be done using either metric measurements, such as millimeters or centimeters, or conventional measurements, such as feet or inches.

given

d = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]

(5 )2 + ( 9 ) 2 = d

d = 25 + 81

d = [tex]\sqrt{106}[/tex]

The line segment AB is d = [tex]\sqrt{106}[/tex] in  length if (-5, 4) and (B), and A = (-5 , 0)

To know more about line segment visit :-

https://brainly.com/question/30072605

#SPJ1

Answer:

A. B is 1.194; It is a growth factor.

Step-by-step explanation:

I calculated it logically

The velocity of the train is given as follows:

900 m / min.

To obtain the velocity of the train, we must understand the relation between velocity, distance and time, which is given as follows:

v = d/t.

In which the parameters are given as follows:

The train took a difference of 200 m in 15 seconds = 0.25 minutes, hence the difference in velocities is given as follows:

200/0.25 = 800 m / min.

(the difference in velocity is the distance covered divided by the time).

As Uncle Tony is walking at a rate of 100 m / min, the velocity of the train is calculated as follows:

800 + 100 = 900 m / min.

More can be learned about velocity, distance and time at https://brainly.com/question/4931057

#SPJ1

The graph of the given inequality y < 4x - 5 is attached below.

What is graph of inequality?

Treat the <, ≤, >, ≥ or sign as a = sign when putting an inequality on a graph. Graph the equation as a dotted line if the inequality is either < or >. Graph the equation as a solid line if the inequality is either ≤ or ≥.

A region on one side of a line can be used to graphically represent an inequality. For the purpose of indicating that a line is not a part of the region, inequality plots that use the < or > symbols have a dashed line. Plotting a solid line indicates that an inequality that uses the symbol

"≤ or ≥" is included in the region.

To learn more about graph of inequality, click on the link

https://brainly.com/question/24372553

#SPJ1

Answer:

wouldn't it be a 10/10 for probability just my thoughts

Answer:

im confusled

Step-by-step explanation:

Answer:

Correct answer is 8.2

I see 5 points instead of 50 pointssssss

Give 50, otherwise I will report u

The area is 8.84 sq. units

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

To find the area we will find the product of 3.4 x 2.6, we can break each length into its base-ten units,

3.4 = 3+0.4

2.6 = 2+0.6

We can rewrite the product and solve it,

= (3+0.4) × (2+0.6)

= (3+0.4) × 2 + (3+0.4) × 0.6

= 3 × 2 + 0.4 × 2 + 3 × 0.6 + 0.4 × 0.6

This expression represents the partial product, each of the expression gives the area of sub rectangles (A, B, C and D). the sum of the partial product will give the area of the main rectangle.

Therefore,

3 × 2 + 0.4 × 2 + 3 × 0.6 + 0.4 × 0.6

= 6+0.8+1.8+0.24

= 8.84

Hence, the required area is 8.84 sq. units.

For more references on area, click;

https://brainly.com/question/27683633

#SPJ1

Answer:

a1=11

a2=15

a3=20

a1=9,a2=27,a3=57

Answer:

aₙ = 5n + 5

aₙ = 6n² + 3

Answer:

F=1.8C+32

113°F

Step-by-step explanation:

F=1.8C+32

F=1.8(45)+32

F=81+32

F=113

Answers:

==================================================

Explanation:

C = temperature in Celsius

1.8C = multiply C by 1.8

1.8C+32 = add on 32

The expression 1.8C+32 is the first part of the answer.

This represents the temperature in Fahrenheit.

----------

Now replace C with 45 and use the order of operations (PEMDAS) to simplify

1.8*C + 32

1.8*45 + 32

81 + 32

113

Therefore, 45 degrees Celsius converts to 113 degrees Fahrenheit.

Answer:

B. 23.8

Step-by-step explanation:

Use the formula c = \sqrt a^2+b^2﹣2abcosy (squareroot the whole thing)

c = length of side you are finding

a = length of side a

b = length of side b

y =angle opposite c

Answer:

x = 3.556 or [tex]\frac{32}{9}[/tex]

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:

(3*x-5)^2-((x+x+25))=0

Evaluate:  

[tex](3x-5)^{2}[/tex] = [tex]9x^{2} -30x+25[/tex]

Pull like factors:

9x^2 - 32x  =   x • (9x - 32)

 x • (9x - 32)  = 0

Remember roots of a product:

A product of several terms equals zero. When a product of two or more terms equals zero, then at least one of the terms must be zero. We shall now solve each term = 0 separately. In other words, we are going to solve as many equations as there are terms in the product. Any solution of term = 0 solves product = 0 as well.

Solve  :    9x - 32 = 0

Add  32  to both sides of the equation :

                     9x = 32

Divide both sides of the equation by 9:

                    x = 32/9 = 3.556

Answer:

To find the answer consider that this is a right triangle and we can use the tangent function in order to find the value of x

remember the acronym soh cah toa.

to use the tangent function we divide the opposite and adjacent side that is what the oa stands for in toa

setting it up looks like this

tan 72° = [tex]\frac{x}{8\\}[/tex]

solving for x gives us x= 8×tan 72°

which is about 24.62

Step-by-step explanation:

On solving the provided question, we can say that -  here in the function, every element has an unique image

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

every element has an unique image and,

this relation, is not a function, since it is not one-one and onto.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

Answer:

2x³ + x² - 7x - 6

Step-by-step explanation:

(x-2)(2x+3)(x+1)

first: (x-2)(2x+3) = 2x² + 3x - 4x -6 = 2x² - x - 6

second: (2x² - x - 6)(x+1) = 2x³ + 2x² - x² - x - 6x - 6 = 2x³ + x² - 7x - 6

Answer:

(x-2) [(2x+3)(x+1)]

(x-2)[(2x²+2x+3x+3)]

(x-2)[(2x²+5x+3)]

(x-2) (2x²+5x+3)

2x³+5x²+3x-4x²-10x-6

Answer = 2x³+x²-7x-6