nasim is working two summer jobs making $9 per walking dogs and $8 per hour cleaning tables. Nasim must earn no less than $130 this week. Write an inequality that would represent the possible values for the number of hours walking dogs d and the hours cleaning tables c that nasim can work in a given week

The correct location of each of the expressions obtained the properties of exponents are;

2; (3²·4³·2⁻¹)/(3·4)², ((3·2)⁴·3⁻³)/(2³·3)

1; (3⁻³·2⁻³·6³)/((4⁰)²)

1/2; (2⁴·3⁵/(2·3)⁵)

Exponential operations are operations involving two numbers, which includes the base number and the exponent.

The exponential expressions can be simplified using laws of indices or the properties of exponents as follows;

(2⁴·3⁵)/((2·3)⁵) = (2⁴·3⁵)/(2⁵·3⁵) =  (2⁴/2⁵) × (3⁵/3⁵)

(2⁴/2⁵) × (3⁵/3⁵) = (2⁴/2⁵) × 1 = 1/2

Therefore; (2⁴·3⁵)/((2·3)⁵) = 1/2

(3²·4³·2⁻¹)/((3·4)²) = (3²/3²)·(4³/4²)·(2⁻¹)

(3²/3²)·(4³/4²)·(2⁻¹) = 1 × 4 × (1/2) = 2

Therefore; (3²·4³·2⁻¹)/((3·4)²) = 2

((3·2)⁴·3⁻³)/(2³·3) = ((3⁴·2⁴)·3⁻³)/(2³·3)

((3⁴·2⁴)·3⁻³)/(2³·3) = (3⁴/3)·(2⁴/2³)·3⁻³ = (3³·3⁻³)·2 = 2

Therefore; ((3·2)⁴·3⁻³)/(2³·3) = 2

(3⁻³·2⁻³·6³)/((4⁰)²) = (3⁻³·2⁻³·6³)/1

(3⁻³·2⁻³·6³)/1 = (6³/3³)/2³

6³/3³ = 2³

Therefore; (6³/3³)/2³ = 2³/2³ = 1

(3⁻³·2⁻³·6³)/((4⁰)²) = 1

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The number of more points that Owen must earn to meet his goal would be = 31 points.

The total number of point expected to be scored by Owen = 50 points

The total amount of points that Owen has earned so far = 19 point.

The amount of points that Owen should earn more to meet up with the points expected of him = 50-19= 31 points.

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Answer:

I got you

Step-by-step explanation:

c-11=25

c=25+11

c=36

Answer:

To find the value of "c" for which the number "a" (-5 in this case) is a solution of the equation, we can substitute "a" into the equation and solve for "c".

Given equation: 4x + 1 + 7c = 8c - 3x + 6

Substituting x with "a": 4(-5) + 1 + 7c = 8c - 3(-5) + 6

Simplifying the equation: -20 + 1 + 7c = 8c + 15 + 6

Combining like terms: -19 + 7c = 8c + 21

Moving all "c" terms to one side: 7c - 8c = 21 + 19

Simplifying: -c = 40

Dividing both sides by -1 to isolate "c": -c/-1 = 40/-1

Flipping the sign when dividing by a negative number: c = -40

So, the value of "c" for which the number "a" (-5) is a solution of the equation is c = -40.

Answer:

[tex]c=-40[/tex]

Step-by-step explanation:

Since a is a Solution to the Equation , then it satisfies the Equation

Substitute by [tex]x=a=-5[/tex] into the Equation [tex]4x+1+7c=8c-3x+6[/tex]

Then [tex]4(-5)+1+7c=8c-3(-5)+6[/tex]

Then [tex]-20+1+7c=8c+15+6[/tex]

By adding like-terms

Then [tex]-19+7c=8c+21[/tex]

Then [tex]8c-7c=-19-21[/tex]

Then [tex]c=-40[/tex]

Answer:

L = (14x^2 - x - 3) / (2x - 1)

Step-by-step explanation:

The area of the rectangular lane is given as 14x^2 - x - 3 square feet.

Let's assume that the length of the lane is L feet. Then the formula for the area of a rectangle is:

Area = Length x Width

Substituting the values given in the question, we have:

14x^2 - x - 3 = L x (2x - 1)

To find an expression for the length of the lane, we can rearrange the equation to solve for L:

L = (14x^2 - x - 3) / (2x - 1)

Therefore, the expression that represents the length of the lane is:

L = (14x^2 - x - 3) / (2x - 1)

Answer:

[tex]f(x)=4(3)^x[/tex]

Step-by-step explanation:

The general equation for an exponential function is:

[tex]\boxed{f(x) = ab^x}[/tex]

where:

To find the values of a and b that satisfy the given conditions, we can use the two points (1, 12) and (3, 108) to form a system of equations:

[tex]\begin{cases}12 = ab^1\\108 = ab^3\end{cases}[/tex]

Divide the second equation by the first equation to eliminate a:

[tex]\dfrac{ab^3}{ab} = \dfrac{108}{12}[/tex]

[tex]b^2=9[/tex]

[tex]\sqrt{b^2}=\sqrt{9}[/tex]

[tex]b=3[/tex]

Substitute the found value of b into the first equation and solve for a:

[tex]12&=3a[/tex]

[tex]\dfrac{12}{3}=\dfrac{3a}{3}[/tex]

[tex]4=a[/tex]

[tex]a=4[/tex]

Therefore, the equation of the exponential function that passes through the points (1, 12) and (3, 108) is:

[tex]\boxed{f(x) = 4(3)^x}[/tex]

Answer:

Step-by-step explanation:

To find the equation of an exponential function passing through the given points (1,12) and (3,108),

we can use the standard exponential form y=a(b^x). We know that when x=1, y=12,

so we can substitute these values into the equation to find a.

So  12 = a(b^1). Similarly, when x=3, y=108, so 108 = a(b^3). We can divide the second equation by the first to eliminate a and get (108/12) = b^2, or 9 = b^2. Thus, b=3 (taking only the positive root). We can now substitute this value of b into either equation to find a. Using the first equation, we get 12 = a(3^1), so a=4. Therefore, the exponential function passing through the given points is y=4(3^x).

Answer:

Step-by-step explanation:

the answer is D

Answer:

D. 5¹⁵ is the correct answer.

Answer:

C. The items have different y-intercepts and different rates of change

Step-by-step explanation:

Figure I shows a linear equation in the form y = mx + b, where "m" is the rate of change and "b" is the y-intercept. That means for y = 1/4 * x - 1/2, 1/4 is the slope and 1/2 is the y-intercept.

Figure II shows a table. The y-intercept is when x = 0, so look at where x = 0 is in the table and see the y-value which corresponds to it. The y-value in this case would be -0.25. To find the rate of change, assuming Table II is changing at a constant rate, subtract the subsequent y-value from a proceeding y-value and divide that by subtracting the corresponding x-values (any two sets of x and y-values should work): (3.75 - 7.75)/(-1 - -2) = -4/(-1 + 2) = -4/-1 = 4.

Thus, we know that the rates of change are different and the y-intercepts are different for both functions.

Answer: Let's start by finding out the time it takes for Gerald to jog from Point A to Point B. We can use the formula:

distance = rate x time

to do this. Since the distance between Point A and Point B is 24 km and Gerald's speed is 6 km/h, we have:

24 = 6t

where "t" is the time it takes for Gerald to jog from Point A to Point B. Solving for "t", we get:

t = 4

So Gerald takes 4 hours to jog from Point A to Point B.

Now, let's look at Shaun's journey. We know that he starts 30 minutes after Gerald and reaches Point A 30 minutes earlier than Gerald. This means that the time it takes for Shaun to travel from Point B to Point A is 3.5 hours (i.e., 4 hours - 0.5 hours + 0.5 hours).

Using the formula distance = rate x time again, we can find out Shaun's average speed:

24 = rate x 3.5

simplifying, we get:

rate = 6.857 km/h

So Shaun's average speed is 6.857 km/h (or approximately 6.86 km/h rounded to two decimal places).

Answer:

  8 km/h

Step-by-step explanation:

You want to know Shaun's average speed on a 24 km jogging track if Gerald jogged at 6 km/h for the distance, while Shaun left half and hour later and arrived half an hour earlier than Gerald.

The time it took Gerald to complete the distance is found from ...

  time = distance/speed

  time = (24 km)/(6 km/h) = (24/6) h = 4 h

Shaun left half an hour later than Gerald, and completed the trip half an hour before Gerald did. Shaun's time was 1 hour less than Gerald's, so was ...

  4 h -1 h = 3 h

Shaun's average speed can be found from ...

  speed = distance/time

  speed = (24 km)/(3 h) = 8 km/h

Shaun's average speed was 8 km/h.

The number of cups of sugar that are there for each cup of flour would be = 1/2 cup of sugar.

The recipe contains sugar of = 3 cups

The recipe contains flour of = 6 cups

If 3cups sugar = 6 cups of flour

X cups sugar = 1 cup of flour

make X the subject of formula;

X = 3×1/6

X = 3/6 = 1/2

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Answer:

52

Step-by-step explanation:

80% of 65 is 65 x 0.80

65 x 0.80 = 52

Therefore 52 seeds were planted.

Answer:

441cm^2

Step-by-step explanation:

84 divided by 4 is 21

21cm*21cm is 441cm^2

Part A: Number of servings  is  1.24 servings/person

Part A: To determine the number of complete servings of fruit salad, we need to divide the total amount of fruit salad Mrs. Harris made (31 cups) by the amount she wants each person to get (25 cup/person). Using the formula:

Number of servings = Total amount of fruit salad / Amount per serving

Number of servings = 31 cups / 25 cups/person

Number of servings = 1.24 servings/person

Since we cannot have a fraction of a serving, we round down to the nearest whole number, as we cannot serve a fraction of a fruit salad. Therefore, Mrs. Harris will be able to serve 1 complete serving of fruit salad with the amount she made.

art B:

If each cup of fruit salad contains 1/4 cup of fruit and each serving is 1/4 cup, then each serving contains 1 cup of fruit.

To calculate the number of bananas Mrs. Harris needs, we first need to determine how many cups of bananas are in 31 cups of fruit salad:

31 cups × 1/4 cup of banana per cup of fruit salad = 7.75 cups of bananas

Since each cup of banana contains 14 of a banana, we can multiply the number of cups of bananas by 14 to find the total number of bananas needed:

7.75 cups of bananas × 14 bananas per cup = 108.5 bananas

So Mrs. Harris needs to buy approximately 109 bananas for the fruit salad.

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According to Classification of Quadrilaterals,

i. Both rectangles have 4 sides - True

ii. Both rectangles have 4 right angle - True

iii. Both rectangles have all sides the same length - False

The classification of Quadrilaterals

Quadrilaterals are a type of geometric shape that have four sides. There are different types of quadrilaterals, and they can be classified based on the characteristics of their sides and angles. The main classifications of quadrilaterals are:

Trapezoid or Trapezium: a quadrilateral with only one pair of parallel sides.

Kite: a quadrilateral whose two adjacent pairs of sides are of equal length.

Parallelogram: a quadrilateral with opposite sides that are parallel to each other.

Rhombus: a quadrilateral with all sides equal in length.

Rectangle: a quadrilateral with opposite sides that are parallel and all four angles are right angles (90 degrees).

Square: a quadrilateral with all sides equal in length and all four angles are right angles (90 degrees).

These are the main classifications of quadrilaterals, and each type has its own specific properties and characteristics that distinguish it from the others.

According to the given information:

i. Both have 4 sides - True

A rectangle has four sides because it is defined as a quadrilateral with two pairs of parallel sides and four right angles. This means that opposite sides of a rectangle are parallel to each other and have the same length, while adjacent sides are perpendicular to each other and form right angles.

So, by definition, a rectangle must have four sides in order to meet these criteria and be classified as a rectangle.

ii. Both have 4 right angle - True

In a rectangle, by definition, opposite sides are parallel to each other and adjacent sides are perpendicular to each other. This means that each of the four corners of a rectangle must form a right angle, where two sides meet at a 90-degree angle.

iii. Both have all sides the same length - False

Not all rectangles have all sides the same length. While a square is a type of rectangle where all sides are equal, rectangles can have different lengths for their adjacent sides.

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Answer: b

Step-by-step explanation:

The vertical measurement of the structure corresponds to an estimated value of 119.53 feet.

The dimensions of the building can be represented by the variable h, whereas the proximity of Jeanna to the building in her initial stance can be identified as x. Utilizing the principles of trigonometry, it is feasible to express the following:

The trigonometric function involving the angle of 35 degrees and its corresponding acute triangle can be written as an equation in the form of tan(35) = h/x, which is denoted as equation 1.

Upon moving a distance of 100 feet from her initial position, Jeanna's distance from the building can be represented as x - 100. Additionally, the angle at which she must look up to view the top of the building is now 40 degrees. Through the application of comparable trigonometric reasoning, it is possible to articulate the following statement:

Equation 2 can be expressed as tan(40) = h/(x - 100), where h and x represent the height and horizontal distance, respectively.

Equation 1 can be manipulated in such a way as to express the variable x in terms of h. The value of x is obtained by dividing h by the tangent of 35 degrees.

The substitution of the given expression for variable x in equation 2 leads to the following result:

The equation tan(40) = h/(h/tan(35) - 100) is amenable for rephrasing in a more academic style of writing.

Upon performing reduction on this mathematical expression, it results in:

The given mathematical equation can be represented in an academic manner as follows: The equation tan(40) = tan(35)h/(h - 100tan(35)) holds true, where h denotes the height of an object located at an angle of 40 degrees to the horizontal plane. This equation specifies the relationship between the tangent values of two distinct angles, 40 degrees and 35 degrees, and the height of the object.

The present equation can be expressed in a more formal academic style as follows: "The function h is defined as the difference between the tangent of 40 degrees and the tangent of 35 degrees, i.e., h = tan(40) - tan(35). This formula can be simplified, resulting in h = -100tan(35)tan(40)."

By dividing each side of the equation by (tan(40) - tan(35)), we are able to obtain the following result:

The following expression denotes the value of h, computed using mathematical operations: h = -100tan(35)tan(40)/(tan(40) - tan(35)).

The value of h is approximately equal to 119.53 feet.

Hence, the vertical measurement of the structure corresponds to an estimated value of 119.53 feet.

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The ratios of each type are:

1/4 has big beak (BB)

2/4  has big short beak (Bb)

1/4 has short beak (bb)

A Punnett square is a diagram used to predict the possible outcomes of a genetic cross between two individuals.

               B          b

B            BB        Bb

b             Bb        bb

We have 1 BB, this implies that we have one bird with big beak.

We have 2 Bb, this implies that we have two bird with big short beak.

We have 1 bb, this implies that we have one bird with short beak.

The ratios of each type are:

1/4 (i.e. 25%) has big beak (BB)

2/4 (i.e. 50%) has big short beak (Bb)

1/4 (i.e. 25%) has  short beak (bb)

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Answer:

D

Step-by-step explanation:

When a number is 5 or more you round up, but when it's 4 or lower you don't round at all. So, when you round the 8, in answer D, you get 6 making the answer 18.96.

Answer:

The formula for the surface area of a cylinder is:

S = 2πrh + 2πr^2

where S is the total surface area, r is the radius of the base, and h is the height.

For one lipstick, the surface area is:

S = 2π(0.6)(2.4) + 2π(0.6)^2

S = 2.88π + 0.72π

S = 3.6π

To wrap 4 lipsticks, we need to multiply this surface area by 4:

S = 4(3.6π)

S = 14.4π

Therefore, the makeup artist will need approximately 14.4π square inches of gift wrap to wrap 4 lipsticks.

Answer:

Step-by-step explanation:

Total surface area of a cylinder = 2πr(r + h)

2 π (.6) (.6 + 2.4)

2 π .6 (3)

1.2π (3)

3.6 π  square inches

Mulitply by four for four lipsticks:

3.6π × 4 = 14.4π sq inches

Answer: $10.92

Step-by-step explanation:

Since there are 16 ounces in a pound, 8 ounces would be equivalent to half a pound. Thus, 3 pounds and 8 ounces = 3.5 pounds.

Since apples cost $3.12 per pound and we have 3.5 pounds, the total cost would be $3.12*3.5 pounds = $10.92

Answer:

160

Step-by-step explanation:

9 x 18 = 162

Since the last number is not 5 and is lower it rounds down to 160.

the direction and angle of rotation between the two polygons is 180° clockwise rotation.

How to solve the question?

Based on the given information, we can determine the direction and angle of rotation between the two polygons.

First, let's look at the initial positions of the polygons. The graph of triangle ABC is located in Quadrant 4, which means that it is in the bottom-right portion of the coordinate plane. On the other hand, the second polygon A'B'C' is located in Quadrant 3, which is in the bottom-left portion of the coordinate plane.

To find the direction and angle of rotation between the two polygons, we need to imagine rotating one polygon onto the other. We can see that the two polygons are mirror images of each other across the y-axis. Therefore, we can infer that there is a horizontal line of symmetry between the two polygons.

If we rotate polygon A'B'C' 180 degrees clockwise around the origin, it will overlap perfectly with triangle ABC. This is because a 180-degree rotation is equivalent to a half-turn or a flip, which is exactly what we need to make the two polygons overlap. Therefore, the answer is 180° clockwise rotation.

In summary, the direction and angle of rotation between the two polygons is 180° clockwise rotation.

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A linear equation that models the relationship shown in the table is: D. y = 0.8x + 9.75

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (10.55 - 9.75)/(1 - 0)

Slope (m) = 0.8/1

Slope (m) = 0.8

At data point (0, 9.75) and a slope of 0.8, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 9.75 = 0.8(x - 0)  

y = 0.8x + 9.75

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

U is located in the plane or vector that A's columns span.

A mathematical concept with both magnitude and direction is a vector. It is frequently used to symbolise forces like the gravitational pull of an object or the electrical forces that exist between charged particles. It can be expressed mathematically as a line segment with two ends, a direction, and a magnitude.

Part 1

To calculate the resulting vector, vector operations including addition, subtraction, multiplication, and division can be used. The individual x, y, and z components of a vector—which stand for its magnitude and direction—can also be determined.

Part 2

Why the answer in Part 1 is correct?

Part 1's answer I gave was A. Yes, writing u as a linear combination of the columns of A after multiplying A by the vector [4, 20, 8]. This is so because the vector [4, 20, 8] may be expressed as a linear combination of the columns of A since it is a solution to the system of linear equations generated by the augmented matrix [A|u]. U is thus in the plane that is covered by the columns of A.

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Answer:

There are 2598960 different ways to choose 5 cards from a standard 52-card deck.

Answer:

(52−5)5 = 2598960 different ways to choose 5 cards from the available 52 cards.

Step-by-step explanation:

We can use the formula for the volume of a cylinder: V = Ah, where A is the base area and h is the height.

Substituting the given values, we have:

720 cm³ = 36 cm² x h

Simplifying, we can divide both sides by 36 cm²:

20 cm = h

Therefore, the height is 20 cm.

Answer: (440-308) ÷ 22 = The cost of each tool kit is 6 dollars

Step-by-step explanation:

The original price of the field trip was $308 after the price fof each tool kit was added the price was $440.

The total costs of all the tool kits was 132

440-308=132

the total cost of the tool kits divided by the number of kids will get the price of each tool kit

132÷22 =

K=