Which of these are examples of deductive reasoning? Select the correct answer. Milk costs $2.99 per gallon at the first three grocery stores that Gema visited. She concludes that milk costs costs $2.99 per gallon everywhere. Most tulips grow to between 6 and 24 inches tall. Janelia concludes that the flowers in her garden will be shorter than 24 inches. Felix knows that everything that fits in his bookbag will fit in his suitcase. His laptop fits in his bookbag, so he concludes that the laptop will fit in his suitcase. Everytime Matthew has left for school at 7 am, he has been on time. Matthew concludes that if he leaves the house at 7 am today, he will be on time. The school's schedule states that lunch period is from 12 p.m. to 1 p.m. Eric concludes that it is after 12:00 p.m. because it is currently the lunch period. Sammy notices that the ants around his house all have 6 legs. He concludes that all ants must have 6 legs.​

Answer:

-5 ≤ x ≤ 3

Interval notation : [-5 , 3]

Step-by-step explanation:

Using proportions, it is found that the garage is 14 millimeters wide in the drawing.

What is a proportion?

A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The rule of three is:

7 millimeters - 4 meters

x millimeters - 8 meters

Applying cross multiplication

 4x = 7(8)

x = 56/4

x = 14

The garage is 14 millimeters wide in the drawing.

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Answer:1

Step-by-step explanation if c is for 6 its 1 p

Answer:

C/6

Step-by-step explanation:

you have c pieces to share with 6 friends.

The expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

What is a logarithmic function?

A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1

Expanding the given logarithm: log 2 x³y⁻²  

Given logarithmic expression is log 2 x³y⁻²  

Applying given properties of logarithmic function;

log a + log b = log (ab)

2 log a = log a^2

Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²

= log 3 + 3 log x - 2 log y

Hence, the expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

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well, a function will pretty much be some type of pattern.

something that doesn't behave in a quite predictable pattern

well, when it rains, the clouds come by and down you're wet, but is not as predicatable as we'd like.

the movement of stars.

eruption of volcanoes, very unpredictable.

downturns in the economy, check the 2008 market crash, many moving their heads both ways tried to see what happened, noone saw it coming, it just hit like a lightning.

there's another one, where a lightning strikes :).

According to the given equation(4 e x⁻¹=64) the value will be = x=4ln(2)−(−1).

Logarithms are another technique to express exponents. An integer's baseline logarithm matches another number. A logarithm is the inverse of exponentiation.

Given : 4 e x⁻¹=64

STEPS USING DEFINITION OF LOGARITHM

4e ^(x−1) =64

To resolve the equation, use exponents and logarithms laws.

4e^x−1 =64

Divide both sides by 4.

e^x−1 =16

Take the logarithm of something like the equation's two sides.

loge^x−1 = log16

Divide both sides by log(e).

[tex]x-1=\frac{\log (16)}{\log (e)}\\[/tex]

By the change-of-base formula [tex]\frac{\log (a)}{\log (b)}=\log _b(a)[/tex]

x−1=log e(16)

add1 from both components of the equation.

According to the given equation(4 e x⁻¹=64) the value will be = x=4ln(2)−(−1)

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Answer:

c the number of employees is increasing by 50% every year

Answer:

c. number of employees is increasing by 50% every year

Answer:

Let's solve your equation step-by-step.

x3=27

Step 1: Take cube root.

x=(27)  (1 )

           (3)

x=3

Answer:

x=3

hope it helped!

Step-by-step explanation:

juanita should use 0.625 to update her report.

given that the pitcher threw 384 pitches  and used fastball 240 times.

according to the information

240÷ 384

To divide a decimal number by a whole number, long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend. If it does not divide evenly, add a 0 to the end of the dividend and continue dividing until there is no remainder.

How do you divide decimals step by step?

The step-wise procedure for dividing decimals by a whole number is given below:

Step 1: Write the given division expression in the standard form.

Step 2: Now, we have to divide the decimal number's whole number part by the divisor.

Step 3: Place the decimal point in the quotient above the dividend's decimal point and then bring down the tenths' digit.

Step 4: If the tenth digit of the obtained dividend cannot be divided by the divisor, write 0 in the quotient and in front of the tenths' digit. Otherwise, proceed with the division process.

Step 5: Repeat the above step and keep adding the zeroes in the dividend until 0 is obtained in the remainder.

240 ÷ 384

⇒ 0.625

so juanita should use 0.625 to update her report

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Answer:

c.  21, 85

Step-by-step explanation:

Define the variables:

Let the two numbers be x and y, where x > y.

Given information:

Create two equations from the given information and defined variables:

[tex]\begin{cases}x = 4y + 1\\x + y = 106\end{cases}[/tex]

Substitute Equation 1 into Equation 2 and solve for y:

[tex]\implies (4y+1)+y=106[/tex]

[tex]\implies 4y+1+y=106[/tex]

[tex]\implies 5y+1=106[/tex]

[tex]\implies 5y+1-1=106-1[/tex]

[tex]\implies 5y=105[/tex]

[tex]\implies \dfrac{5y}{5}=\dfrac{105}{5}[/tex]

[tex]\implies y=21[/tex]

Substitute the found value of y into the second equation and solve for x:

[tex]\implies x+21=106[/tex]

[tex]\implies x+21-21=106-21[/tex]

[tex]\implies x=85[/tex]

Therefore, the two numbers are 21 and 85.

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Answer:-8

Step-by-step explanation:hope it helps, brainliest? i could really use it

Answer:

Step-by-step explanation:

When there are two negatives it equals a positive-

[tex]1.242-(-2.9) = 1.242+2.9\\ \\ =4.142[/tex]

Answer = 4.142

Solving for X: x=40+y2+x2-16y

------------------------

10

solving for X_2: x2= -(40+y2-16y-10x)

The measure of the z value from the given figure is 6 2/3.

We need to find the unknown value for the given figure.

In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent. These ratios are written as sin, cos, tan, sec, cosec(or csc), and cot in short. Trigonometric ratios can be used to determine the ratios of any two sides out of a total of three sides of a right-angled triangle in terms of the respective angles.

Using trigonometric ratios we can find the z value.

From the given figure, tan θ = 4/6 ----(I) and also tan θ = z/10 ----(II)

Now, equation (I) = (II)

⇒ 4/6 = z/10

⇒ 4 × 10 = z × 6

⇒ 6z = 40

⇒ z = 40/6

⇒ z = 20/3

⇒ z = 6 2/3

Therefore, the measure of the z value from the given figure is 6 2/3.

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The values for  5 f(x) / g(x) = (10x+25) / x²-3 x+2

Given;

f(x)=2 x+5 and g(x)=x²-3 x+2

5 f(x)= 5(2x+5 )

        = 10x+25

5 f(x) / g(x) = (10x+25) / x²-3 x+2

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The value of the greatest of the three is -16

Let the smallest of the integers be x - 2

So, the other integers are x - 1 and x

The sum of the integers is given as

Sum = -51

So, we have the following equation

x - 2 + x - 1 + x = -51

Evaluate the like terms in the above equation

So, we have the following equation

3x = -48

Divide both sides of the equation by 3

So, we have the following equation

x = -16

Hence, the value of the greatest of the three is -16

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First graph is correct which satisfies the given informations.

The graph is attached below.

Given:

Becky made a graph to show how far she was from her house.

She started jogging from zero distance from the house when she left and sprinted to the park, so the second and fourth graphs are incorrect.

She then spent some time at the park with some friends before returning home on the same path. The first one is accurate since we can see that for a brief while, the graph is parallel to the time axis, but the third one demonstrates that she hasn't taken a break.

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The range of the function f(x) = x2 is larger than or equal to zero, and its domain includes all real numbers (x can be any number).

What is domain in math?

The domain of f(x) = |x+2| -

Real numbers only

The range of the function f(x) = x2 is larger than or equal to zero, and its domain includes all real numbers (x can be any number).

The domain of f(x) = -2x²+5

All real numbers fall under the expression's domain, with the exception of cases where it is undefined. In this instance, the phrase is defined even if there is no real number.

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Answer:

6y+4

Step-by-step explanation:

Let's simplify step-by-step.

−2x²+3y+2x²+2+3y+2

Combine Like Terms:

=−2x²+3y+2x²+2+3y+2

=(−2x²+2x²)+(3y+3y)+(2+2)

=6y+4

Answer:

1 - 1/4 - 2/3 = r

Step-by-step explanation:

N=1/4, D=2/3

whole pizza=1

r=remainder pizza

1 - 1/4 - 2/3 =r

(1 - 1/4 - 2/3 =r)*12 ==> multiply by 12 to get rid of denominators

12 - 12/4 - 12*2/3=12r

12-3-24/3=12r

9-8=12r

12r=1

r=1/12 of a pizza left

Answer:

1/12

Step-by-step explanation:

the common number of 3 and 4 is 12. You multiply 1/4 by three and you get 3/12, and you multiply 2/3 by 4 and you get 8/12. You add 8 and 3 and you get 11, that's the number that indicates the part of the eaten pizza. 12-11=1. 1/12 left from the pizza.

Answer:

27

Step-by-step explanation:

Answer:

10 hours

Step-by-step explanation:

Unit rate   18 items / 15 hrs = 1.2 items pe hour

12 items / 1.2 items / hour    = 10 hours

Answer: You can use Math apps to help you easily

Step-by-step explanation:

Answer:

$2,750 = $200x + $750

10 cars to meet the goal

Step-by-step explanation:

We will pull details we need to solve out of the question:

     If her goal is to make 2,750 dollars, the money earned must equal at least $2,750.

     If she's already made $750, then we can subtract that from what is needed left to make (or add it to what needs to be made).

     Finally, she makes $200 per car. Let x equal the number of cars she sells.

Next, we will write an equation:

     $2,750 = $200x + $750

Lastly, we will solve this equation.

     $2,750 = $200x + $750

     $2,000 = $200x

     10 = x

           She needs to sell 10 cars to meet her goal.

The length of AB is 4.47 units, the length of CD is 2.83 units and the length of EF is 5 units.

We are given different right angled triangles.

We need to find AB, CD and EF

We will do this by using the Pythagoras theorem.

Pythagoras theorem states that:

Hypotenuse² = Base² + Perpendicular²

For AB,

Hypotenuse = AB

Base = 2 units

Perpendicular = 4 units

So, we get that:

AB² = 2² + 4²

AB² = 4 + 16

AB² = 20

AB = √ 20

AB = 2√5 units

AB = 4.47 units.

For CD:

Hypotenuse = CD

Base = 2 units

Perpendicular = 2 units

So, we get that:

CD² = 2² + 2²

CD² = 4 + 4

CD² = 8

CD = √ 8

CD = 2√2

CD = 2.83 units

For EF:

Hypotenuse = EF

Base = 4 units

Perpendicular = 3 units

So, we get that:

EF² = 4² + 3²

EF² = 16 + 9

EF² = 25

EF = 5 units.

Therefore, we get that, the length of AB is 4.47 units, the length of CD is 2.83 units and the length of EF is 5 units.

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It takes 60 minutes (1 hour) for the Blue Line train and the Yellow Line train to be at the station at the same time, using their running time LCM.

The time that it will take the Blue Line train and the Yellow Line train to meet again at the station is determined using the Least Common Multiple or Factor.

The LCM is the smallest positive integer that is evenly divisible by both numbers, 10 and 12.

For instance, the LCM of 10 and 12 include 60 and 120 with 60 as the least.

The time the Blue Line runs is every 10 minutes.

The time the Yellow Line runs is every 12 minutes.

The LCM of 10 and 12 is 60 because 10 and 12 can divide 60 without a remainder.

Thus, it will take 60 minutes for the two trains to meet again at the station.

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The most pieces of fabric that can be used is 144 pieces, making a quilt with 12 pieces on each side.

The square is a term to refer to a geometric figure that is characterized by being a type of parallelogram with four sides of equal length. A square is a regular polygon that has all its sides equal, and its interior angles measure 90º.

To identify the number of square pieces that I can use to make a square quilt, I must keep in mind that to create a square quilt I must put the same number of pieces on each side of the quilt so that it forms a perfect square.

To identify the maximum number of pieces needed, we can try taking the square root of 150, 149, 148, 147... until the result is a integer number (no decimals). In this case the first integer that appears is 12 by taking the square root of 144 as shown below.

[tex]\sqrt[2]{144} = 12[/tex]

This means that to make a square quilt we must use 144 pieces in total and place 12 pieces on each side of the square. Additionally we can state that the side length of this quilt is 48 inches because each piece measured 4 inches on a side.

4 inches × 12 = 48 inches.

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If Upper pointing arrow with height of 11 and length of 9. Rectangular base of arrow has length of 7 and height of 8. All units are in centimeters. The area of the arrow by decomposing it into rectangles and triangles is: 69.5 square centimeters.

First step is to determine the Area of triangle using this formula

Area of triangle= ½×breadth ×height

Where:

Breadth=9

Height of triangle= 11 - 8

Height of triangle = 3cm

Area of triangle= ½ × 9 × 3

Area of triangle = 13.5 cm²

Second step is to determine the area of rectangle

Area of rectangle= length × breadth

Area of rectangle= 8 × 7

Area of rectangle= 56 cm²

Third step is to determine the total area

Total area=Area of triangles+ Area of rectangle

Total area = 13.5 + 56

Total area= 69.5 cm²

Therefore the area of the arrow by decomposing it into rectangles and triangles is: 69.5 square centimeters.

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Answer:

A

Step-by-step explanation:

∠ A and ∠ B are alternate exterior angles and are congruent , then

∠ B = ∠ A , that is

8x - 28 = 5x - 4 ( subtract 5x from both sides )

3x - 28 = - 4 ( add 28 to both sides )

3x = 24 ( divide both sides by 3 )

x = 8

Answer:

130

Step-by-step explanation:

18+4(28)

18+112

130