Select one:

O The function has a zero at (0, -2).

O The function has a range of all real numbers less than or equal to 2.

O The function has two y-intercepts and one x- intercept.

O The function has a minimum value.

(Photo is added of question)

From the ratio of baking soda and salt, we found that when the mass of salt is 64 grams, the mass of baking soda in the mixture should be 128 grams.

What is meant by ratio?

A ratio in mathematics demonstrates how many times one number is present in another. Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. Here, the dividend is referred to as the "antecedent" and the "consequent" is the divisor. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio describes the relationship between two separate entities or groups, whereas the part-to-whole ratio describes the relationship between a particular group and the entire.

The ratio of salt, baking soda and water is given as :

18 : 9 : 25

We are asked to find the mass of baking soda in a mixture when the mass of salt is 64g.

The ratio of baking soda and salt is 18:9

Let the mass of baking soda required be x.

x : 64 = 18 : 9

x/64 = 18/9

x = 18/9  * 64 = 2 * 64 = 128

Therefore from the ratio of baking soda and salt, we found that when the mass of salt is 64 grams, the mass of baking soda in the mixture should be 128 grams.

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There are 90 calories to 1 serving.

Rate is a term which compares two things. It simply relates the amount of one variable to the amount of the other variable. An example is the rate of the distance covered by an object with time taken.

In the given question, we can deduce that;

270 calories in 3 servings would give;

amount of calories in 1 serving = 270/ 3

                                                   = 90

Also,

450 calories in 5 servings would give;

amount of calories in 1 serving = 450/ 5

                                                   = 90

Therefore, there are 90 calories to 1 serving.

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Answer:

Step-by-step explanation:

Equate whats inside (arguments) \sin with base period of sine function 2\pi and solve for x to get period,

\pi x=2\pi\implies x=2

So the period of the graph of the given function is precisely 2.

Hope this helps :)

The interest to be paid by the student is $126.875 and the amount is $7126.875

The simple interest is the interest amount for a particular principal amount of money at some rate of interest.

Given that, a student takes a loan on SI on $7000 for 3 months and the rate of interest is 7.25%

SI = PRT / 100

Putting the values,

SI = 7000 x 3 x 7.25 / 1200

= 126.875

Amount = Principal + Interest

Amount = 7000 + 126.875

= 7126.875

Hence, the interest to be paid by the student is $126.875 and the amount is $7126.875

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Answer:

To find the total interest earned by the account after 25 years, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the total amount after t years

P = the principal (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $2,750, r = 0.0325, n = 1 (compounded yearly), and t = 25. Plugging these values into the formula, we get:

A = 2,750(1 + 0.0325/1)^(1*25)

A = 2,750(1.0325)^25

A = 2,750(2.0154)

A = $5,534.85

To find the total interest earned, we need to subtract the initial deposit from the total amount:

Interest = $5,534.85 - ($2,750 x 25)

Interest = $5,534.85 - $68,750

Interest = $-63,215.15

This result indicates that the account holder would have lost money over the 25-year period, as the interest earned was not enough to offset the annual deposits. However, it's worth noting that this calculation assumes no additional deposits or withdrawals were made during the 25 years. If the account holder had made additional deposits or withdrawals, the total interest earned would be different.

Answer:

Star = 62

Step-by-step explanation:

To solve this, we need to find out what the value of the blue triangle is. To do this, we can take the right column, which adds up to -72, and divide that by 3.

So, the value of the blue triangle is -24.

Now that we know this, we can solve for the value of the green trapezoid. (Top row going horizontally). To do this, we need to take the total value and subtract the value of the blue triangle from it.

Now divide that by 2 to get the value of each trapezoid:

So, the value of the green trapezoid is 81.

To solve for the value of the orange diamond (middle row going down), we can take the total and subtract 2 green trapezoids from it.

To check, we can now do the middle horizontal row. Adding up the shapes:

This is the proper value, meaning that the value of the orange diamond is -57.

Just to recap:

Now, to solve for the value of the star, we can solve the row on the right going vertically. To solve for this, we must take the total value and subtract the value of the diamond and trapezoid from it.

To check once again, we can now do the row on the bottom going horizontally. Adding up the numbers:

This is the proper value, meaning that the value of the star is 62.

Answer:

no

Step-by-step explanation:

orka:sweet potato

15:8 = 1.875

350:160 = 2.1875

Answer:

I can not help  you do you  have picture that i can use so i can give u the correct answer

Step-by-step explanation:

Answer:

ik....

Step-by-step explanation:

The measure of side Q'N' after a dilation of quadrilateral NOPQ by a scale factor of 2/3 is 12 units

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Scale factor is the ratio of new side to original side. It is given as:

Scale factor = new side / original side

Given that the scale factor is 2/3 and the side QN is 18, hence:

QN * scale factor = Q'N'

Substituting:

18 * 2/3 = Q'N'

Q'N' = 12

The measure of side Q'N' is 12 units

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Answer:

4.5%

Step-to-Step Explanation:

[tex]y=8700*1.045^{x}[/tex]

[tex]y=a(1+r)^{x}[/tex]

1 + r = 1.045

r = 1 - 1.045

r = 0.045

Multiply 0.045 by 100 to ger 4.5%

r = 4.5%

Let d be the distance in miles from the airport that a plane should begin descending. According to the problem statement, we can write the equation:

d/3 = 10

To solve for d, we can isolate it by multiplying both sides of the equation by 3:

d = 3 * 10

Therefore, the pilot should begin descending when the plane is 30 miles from the airport.

Answer:

48%      hope this helps!

Step-by-step explanation:

188-127= 61 <--(increase)

divide increase by original( 61/127= 0.480)

Multiply by 100 to get percent (0.480x100= 48%)

The answer is (iv) 150. This result can be obtained by applying the alternate segment theorem.

A circle is a shape with all points at an equal distance from the center. It has no sides or angles and is the only two-dimensional shape with this property. It is also the most basic of all shapes, and is found in nature in many forms, such as raindrops, the sun, and even the human pupil. Circles are often used in art, design, and architecture, and are sometimes even used to represent infinity.

This theorem states that if two chords of a circle intersect at right angles, then the angles in the alternate segments of the circle are equal. In this case, the alternate segments are APQ and CQP. Hence, ∠APQ + ∠CQP = 150°.

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Step-by-step explanation:

We have the formula for the surface area of a rectangular box given by:

S = 4LW + 2WH

Substituting the given values, we get:

138 = 4(9)(3) + 2(3)H

Simplifying, we get:

138 = 108 + 6H

6H = 138 - 108

6H = 30

H = 30/6

H = 5

Therefore, the value of the unknown variable H is 5.

Therefore , the solution of the given problem of unitary method  comes out to be each Disc cost $10.80 before taxes.

The measurements taken from this nanosecond subset must be multiplied by two in order to complete the task using the unitary technique. In essence, the characterised by a group and the colour sections are both removed from the unit method when a desired object is present. For example, 40 pens with a variable price would pay Inr ($1.01).

Here,

Let's name the CDs' pre-tax cost "x" for simplicity. The overall cost of the CDs before tax is two times because Lena purchased two of them for the same price. The cost of the Discs, with the addition of the $1.80 sales tax, is:

=> 2x + $1.80

Given that we know the final price, including tax, was $23.40, we can create the following equation:

=> 2x + $1.80 = $23.40

By deducting $1.80 from each half, we arrive at:

=> 2x = $21.60

When you divide both parts by 2, you get:

=> x = $10.80

As a result, each Disc cost $10.80 before taxes.

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The length of RQ is 15. The solution has been obtained by using the properties of rectangle.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle.

We are given a figure PQRS which is a rectangle.

We know that the opposite sides of a rectangle are equal.

So,

⇒PS = RQ

⇒-1 + 4x = 3x + 3

⇒x = 4

On substituting x = 4 in 3x + 3, we get

3(4) + 3 = 15

Hence, the length of RQ is 15.

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Step-by-step explanation:

for the function

�

(

�

)

=

2

�

2

−

8

g(x)=2x

2

−8

, q = 0, r = 2, s = 3, t = -3

The given function is:

�

(

�

)

=

2

�

2

−

8

g(x)=2x

2

−8

The inverse of

�

(

�

)

=

2

�

2

−

8

g(x)=2x

2

−8

for x ≥ 0 is

�

(

�

)

=

1

2

�

+

4

f(x)=

2

1

x+4

The inverse of

�

(

�

)

=

2

�

2

−

8

g(x)=2x

2

−8

for x ≤ 0 is

�

(

�

)

=

−

1

2

�

+

4

d(x)=−

2

1

x+4

For x = -8

�

(

−

8

)

=

−

1

2

(

−

8

)

+

4

�

(

−

8

)

=

0

d(−8)=−

2

1

(−8)+4

d(−8)=0

q = d(-8) = 0

r = f(0)

�

(

�

)

=

1

2

�

+

4

�

(

0

)

=

1

2

(

0

)

+

4

�

(

0

)

=

4

�

(

0

)

=

2

f(x)=

2

1

x+4

f(0)=

2

1

(0)+4

f(0)=

4

f(0)=2

r = 2

s = f(10)

�

(

�

)

=

1

2

�

+

4

�

(

10

)

=

1

2

(

10

)

+

4

�

(

10

)

=

9

�

(

10

)

=

3

f(x)=

2

1

x+4

f(10)=

2

1

(10)+4

f(10)=

9

f(10)=3

s = 3

t = d(10)

�

(

�

)

=

−

1

2

�

+

4

�

(

10

)

=

−

1

2

(

10

)

+

4

�

(

10

)

=

−

9

�

(

10

)

=

−

3

d(x)=−

2

1

x+4

d(10)=−

2

1

(10)+4

d(10)=−

9

d(10)=−3

Therefore, for the function

�

(

�

)

=

2

�

2

−

8

g(x)=2x

2

−8

, q = 0, r = 2, s = 3, t = -3

The value of variables are,

q = 0

r = 2

s = - 3

t = 3

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

g (x) = 2x² - 8

Now, We have;

For x ≥ 0;

The inverse function is,

⇒ f (x) = √1/2x + 4

And, For x ≤ 0;

The inverse function is,

⇒ d (x) = - √1/2x + 4

Hence, For x = - 8;

⇒ d (x) = - √1/2x + 4

⇒ q = - √1/2 × - 8 + 4

⇒ q = - √- 4 + 4

⇒ q = 0

For x = 0;

⇒ f (x) =  √1/2x + 4

⇒ r = √1/2 × 0 + 4

⇒ r =  √0 + 4

⇒ r = 2

For x = 10;

⇒ d (x) = - √1/2x + 4

⇒ t = - √1/2 × 10 + 4

⇒ t = - √5 + 4

⇒ t = - 3

For x = 10;

⇒ f (x) =  √1/2x + 4

⇒ s =  √1/2 × 10 + 4

⇒ s =  √5 + 4

⇒ s = 3

Thus, The value of variables are,

q = 0

r = 2

s = - 3

t = 3

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Answer: The numerator is the percentage change in quantity demanded, which is (Q2 - Q1)/[(Q2 + Q1)/2] = (4500 - 5000)/[(4500 + 5000)/2] = -0.1818

The denominator is the percentage change in price, which is (P2 - P1)/[(P2 + P1)/2] = (3500 - 3000)/[(3500 + 3000)/2] = 0.1429

The numerator divided by the denominator is -0.1818/0.1429 = -1.2727

The price elasticity of demand is greater than 1 in absolute value, which means the demand is elastic.

Using the midpoint formula, we can calculate the price elasticity of demand as:

[(Q2 - Q1)/((Q1 + Q2)/2)] / [(P2 - P1)/((P1 + P2)/2)]

Substituting the given values, we get:

[(-500)/((5000 + 4500)/2)] / [(3500 - 3000)/((3500 + 3000)/2)]

Simplifying, we get:

-0.1818 / 0.1429 = -1.2727

Since the price elasticity of demand is greater than 1 in absolute value, the demand is elastic. This means that the percentage change in quantity demanded is greater than the percentage change in price, and the university can expect a relatively large decrease in enrollment due to the tuition increase.

Step-by-step explanation:

Answer:

there are 24 different choices available to guests when booking their stay at the bed and breakfast.

Step-by-step explanation:

To find the total number of choices available to guests at the bed and breakfast, you can use the multiplication principle of counting.

According to the multiplication principle, if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

Using this principle, we can calculate the total number of choices available to guests by multiplying the number of choices for each option:

Choice of 3 themes for their room: 3 options

Choice of 2 sizes of rooms: 2 options

Choice of 4 breakfast options: 4 options

Total number of choices = 3 x 2 x 4 = 24

Therefore, there are 24 different choices available to guests when booking their stay at the bed and breakfast.

Answer:

Since the ratio of apples to the total pieces of fruit sold is 3/5, we know that the apples section of the graph represents 3/5 of the total angle of the circle graph.

The total angle of a circle is 360 degrees, so we can set up the equation:

3/5 x 360 = angle measure of the apples section

Simplifying the left side, we get:

216 = angle measure of the apples section

Therefore, the angle measure of the apples section of the graph is 216 degrees.

The implications for classroom practice relative to understanding implications for mathematics teaching .

What are the social cognitive theory's guiding principles?

The five following social cognition and behavior principles are discussed: (1) the influence of situation on conduct; (2) blindness to situational influences; (3) social perception and self-perception are constructive processes; (4) blindness to the constructed character of social and self-perception; and (5) self.

What does SCT mean by self-regulation?

When faced with externally imposed stimuli, self-regulation enables a person to maintain control over their behavior or response. A person's ability to self-regulate is strengthened through feedback, an externally imposed control that enables behavior modification.

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The volume of the solid right pyramid is, x²y cm³.

A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces.

The number of sides on its base is equal to the number of lateral faces.

The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex.

We know, Area of a square is a product of it's any two sides.

Now, If we want to determine the volume we have to multiply the height also(another dimension).

Therefore, From the given information and options, A pyramid with square bases(x) and a height of 'y' will have a volume,

= x×x×y cm³.

= x²y cm³.

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The area under the curve of function f on [a, b] is the limit of both LRAMn f and RRAMn f as n approaches infinity.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The Left Riemann Sum (LRAM) and Right Riemann Sum (RRAM) of a non-negative, increasing function f on the interval [a, b] are defined as follows -

LRAMn f = (b - a)/n × [ f(a) + f(a + (b-a)/n) + f(a + 2(b-a)/n) + ... + f(a + (n-1)(b-a)/n) ]

RRAMn f = (b - a)/n × [ f(a + (b-a)/n) + f(a + 2(b-a)/n) + ... + f(a + n(b-a)/n) ]

As f is an increasing, non-negative function on [a, b], both LRAMn f and RRAMn f will be non-negative, and the area under the curve of f will also be non-negative.

Since f is increasing on [a, b], we have -

f(a) ≤ f(a + (b-a)/n) ≤ f(a + 2(b-a)/n) ≤ ... ≤ f(a + (n-1)(b-a)/n) ≤ f(b)

Therefore, LRAMn f will be less than or equal to the area under the curve of f on [a, b], which is less than or equal to RRAMn f.

That is -

LRAMn f ≤ Area under curve of f on [a, b] ≤ RRAMn f

So we can conclude that the area under the curve of f on [a, b] is bounded between LRAMn f and RRAMn f.

Therefore, as n increases, both LRAMn f and RRAMn f converge to the area under the curve of f on [a, b].

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Answer:

To compare two fractions, we need to make sure that they have the same denominator. In this case, we can convert 1/5 to an equivalent fraction with a denominator of 100 by multiplying both the numerator and denominator by 20:

1/5 = (1/5) x (20/20) = 20/100

Now we can compare 21/100 and 20/100. Since the numerator of 21/100 is greater than the numerator of 20/100, we know that 21/100 is greater than 20/100 or 1/5. Therefore, 21/100 is indeed greater than 1/5.

Step-by-step explanation:

Answer:

 1/5 is equal 2/10 equals 20/

The graph for the given question is mentioned below.

A graph is a visual representation of data or information that is used to display and communicate relationships between variables or categories. Graphs can take many forms, including line graphs, bar graphs, pie charts, and scatter plots, among others. They are commonly used in fields such as science, economics, and statistics.

As the price of a set of four tires has decreased from $250 to $175, we can illustrate this scenario using a demand and supply graph with  quantity on the horizontal and size on the vertical axis.

The graph should show a leftward shift of the demand curve, indicating that consumers are willing to buy more tires at a lower price. The supply curve remains constant, indicating that the supplier is willing to sell the same quantity of tires at a lower price. Therefore, the correct graph should be:

               |      P

       250 |     \

               |       \ Supply

               |         \

               |           \

       175  |              \    

               |                \

               |                  \ Demand (after discount)

               |                    \

                     Q

where P is the price, Q is the quantity, and the demand curve has shifted to the right.

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The equation it find the perimeter is y = 4x

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

Therefore the perimeter of a square e will be given as; l+l+l+l = 4l

if the sides of a square is x and the perimeter is given by y

then, y = x+x+x+x

y = 4x

therefore the equation that represents the perimeter of a square is y = 4x

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Therefore , the solution of the given problem of rational numbers comes out to be  that 9/18 is a rational number

Rational numbers are those that can be written as the ratio (not the fraction) of two integers. A fraction with a nonzero denominator is considered sensible. Examples of rational numbers include 1/2, 1/5, but it also 3/4. Additionally, "0" can be written in many different ways as a real purpose, such as 0/1, 0/2, as well as 0/3. But 1/0, 2/0, 3/0, and so forth. The number of seven is reasonable. Two parameters can be divided to produce a rational figure.

Here,

Because 9/18 can be written as a ratio of two numbers, it is a rational number. By dividing the numerator and denominator by their largest common factor, which is 9 in this instance, we can simplify the expression 9/18:

=> 9/18

=> (9 ÷ 9) / (18 ÷ 9) = 1/2

We can see that 9/18 is a rational number because 1/2 is also a ratio of two numbers.

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The shape that has the same perimeter but a different area than Sheri's design is option D.

What is perimeter?

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimetres, metres, inches, and feet.

The figure contains sides with the measurements, 2 units, 4 units, 4 units, 2 units, 2 units, and 2 units.

The perimeter of the figure will be sum of all sides -

Perimeter = 2 + 4 + 4 + 2 + 2 + 2

Perimeter = 16 units

Therefore, the figure has perimeter of 16 units.

The area of the figure can be determined by adding the area of rectangle and square.

Side of the square measures 2 units.

The length of the rectangle is 2 units.

The breadth of the rectangle is 4 units.

So, the equation will be -

Area = Area of rectangle + Area of square

Area  = (l × b) + (side)²

Area  = (2 × 4) + (2)²

Area  = 8 + 4

Area  = 12 units²

Therefore, the figure has area of 12 units².

The diagram in option D contains sides with the measurements, 3 units, 1 unit, 1 unit, 3 units, 4 units, and 4 units.

The perimeter of the figure will be sum of all sides -

Perimeter = 3 + 1 + 1 + 3 + 4 + 4

Perimeter = 16 units

Therefore, the figure has perimeter of 16 units.

The area of the figure can be determined by adding the area of the two rectangles.

The length of the first rectangle is 1 unit.

The breadth of the first rectangle is 3 units.

The length of the second rectangle is 3 units.

The breadth of the second rectangle is 4 units.

So, the equation will be -

Area = Area of rectangle 1 + Area of rectangle 2

Area  = (l × b) + (l × b)

Area  = (1 × 3) + (3 × 4)

Area  = 3 + 12

Area  = 15 units²

Therefore, the figure has area of 12 units².

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