the product of 2 consecutive integers is 42. find the integers

Answer:

3-6

Step-by-step explanation:

The expression 3⁻⁶ × (3⁴ ÷ 3⁰)² value is 9 which is 3².

To simplify the given expression: 3⁻⁶ × (3⁴ ÷ 3⁰)², let's break it down step by step:

First, let's simplify the exponent expressions within the parentheses:

3⁴ = 81 (because 3⁴ = 3 × 3 × 3 × 3 = 81)

3⁰ = 1 (because any number raised to the power of 0 is 1)

Now, we can rewrite the expression with the simplified exponents:

3⁻⁶ × (81 ÷ 1)²

Next, simplify the division within the parentheses:

81 ÷ 1 = 81

Now, the expression becomes:

3⁻⁶ × 81²

Simplify the exponent:

81² = 6561 (because 81 × 81 = 6561)

Now, the expression becomes:

3⁻⁶ × 6561

1/729 × 6561

6561/729

dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 9:

729/81

We get 9 which is equal to 3².

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Answer:

Pretty sure it's B

Step-by-step explanation:

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of all angles of a triangle is 180°.

m∠1 + m∠2 + m∠3 = 180°

(m∠1 + m∠3) + m∠2 = 180°

2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]

2(m∠1) = 110°

m∠1 = 55°

Therefore, m∠1 = m∠3 = 55°

Answer:

12 in^2

Step-by-step explanation:

Answer: 12in^2

Step-by-step explanation:

Answer:360

Step-by-step explanation:

Answer:

area =

[tex] \frac{1}{2} \times (10 + 6) \times 6 [/tex]

=

[tex]3 \times 16[/tex]

=

[tex]48 \: ft {}^{2} [/tex]

Answer:

Step-by-step explanation:

(x + y) 2

x2 + 2xy + y2

Answer:

Step-by-step explanation:

This is an example of "the square of a binomial."  There is a formula for such cases;

(a + b)^2 = a^2 + 2ab + b^2 (worth memorizing)

Thus, our (x + y)^2 = x^2 + 2xy + y^2

Answer:

46655

Step-by-step explanation:

[tex]75250 \cdot \frac{62}{100} = 46655[/tex]

Answer:

28.14

Step-by-step explanation:

Answer:

22/75

Step-by-step explanation:

To find the average add up the values and divide the sum by the number of values.

Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem

=1/2+1/5+1/5+1/10+7/15

The least common denominator (LCD) is: 30.

Rewriting as equivalent fractions with the LCD:

=15/30+6/30+6/30+3/30+14/30

Rewriting numerators over the common denominator,

=15+6+6+3+1430

Totaling the numerator:

=44/30

Reducing the fraction:

=22/15

Dividing by the number of values: 5

22/15÷5=22/15×15=22/75

Average of the fractions is:

Average=22/75

Answer:

5

Step-by-step explanation:

An absolute value is NEVER negative.

|9 - 14| = |-5| = 5

Answer: 5

Answer:

B

Step-by-step explanation:

a is a cubic. A cubic is an equation that has 3 on its base x to become x^3 as it's highest power. That is not a quadratic. A cubic and a quadratic are not the same thing.

b is a quadratic The highest power is 2 on the base (x)  to become x^2. That is how a quadratic is defined.

c is a reciprocal. It has its highest power in the denominator, and that is not a quadratic. A quadratic is an equation whose highest power is 2 on its base (x) and whose highest power is in the numerator, not the denominator. This choice is rather tricky because the quadratic formula can be used on it if you change x = 1/z. Then the equation becomes f(x) = 4z^2 - 2z + 1. But as it is given and likely as you have been told, this is not a quadratic. This will factor into  (2z - 1)(2z - 1). If I were a student, I'd question this one. It would be interesting to see how your instructor would eliminate it.

d is just a linear function. Since x^2 is multiplied by 0, it disappears. What is left is f(x) = -9x + 7 which is a linear function.

Answer:

48 and 9

Step-by-step explanation:

36/x + 5x-36/x+3 = 5-0.25

Answer:

9 and 48 km/hr

Step-by-step explanation:

The Formula [tex]S=\frac{D}{T}[/tex] along with its variations are used

Let's say for the initial ride, the speed was x. Because the time was 5 hours, the distance was 5x km. Now for the return. For the first part, the speed remains x but our distance is 36km. So, our time is 36/x hours. For the second part, the speed is x+3 but our distance is 5x-36 (The total minus the distance of the first part.) So, our time is [tex]\frac{5x-36}{x+3}[/tex]. Now we have the equation [tex]\frac{36}{x} + \frac{5x-36}{x+3}=5-\frac{1}{4}[/tex] as our times add up to 5 hours minus 1/4 of and hour. Solving, we get x=9, x=48.

Answer:

B ( -1, -8)

Step-by-step explanation:

A ( -7, -6)

midpt (-4, -7)

Equation:

(x + 3, y - 1)

Solve for B:

(-4, -7)

(x + 3, y - 1)

( -1, -8)

Answer:

Here's a calculator that should help

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/algebra/completing-the-square-calculator.php

Answer:

9, 10, 11, 12, 13, 14, 15

Step-by-step explanation:

0 + 9 = 9

1 + 9 = 10

2 + 9 = 11

3 + 9 = 12

4 + 9 = 13

5 + 9 = 14

6 + 9 = 15

The sequence of at least six numbers, by using rule x + 9 Start with x = 0 is 9, 10, 11, 12, 13, 14.

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

x + 9

First sequence, Put x = 0

0 + 9 = 9

Second sequence, put x = 1

1 + 9 = 10

Second sequence, put x = 2

2 + 9 = 11

Second sequence, put x = 3

3 + 9 = 12

Second sequence, put x = 4

4 + 9 = 13

Second sequence, put x = 5

5 + 9 = 14

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Answer:

7/9    

Step-by-step explanation:

7/9

Answer:

7/9

Step-by-step explanation:

Brainliest maaaybe? :)

Answer:

I think box #1 doesnt't belong because it say spend $100 and get $10 off

Step-by-step explanation:

Answer

adding 2

Step-by-step explanation:

Median is 8

I don't know if this is correct but I tried.

Answer:

Las respuestas estan a continuacion.

Step-by-step explanation:

Tres mas que un numero = a+3

La diferencia entr eun numero y 5 = a - 5

4 menos que n = 4 - n

Un numero aumenta en 1 = x + 1

Un numero disminuido en 10 = z - 10

El producto de dos numeros = x*y

Dos veces la suma de dos numeros = 2(a+b)

Doce veces un numero sumado a otro = 2a+b

El coceinte de dos numeros =  a/b

Un numero aumentado en 3 = x+3

Un numero dismunuido en 2 = a - 2

El producto de m y n = m*n

El antecesor de un numero cualquiera = n - 1

El sucesor de un numero cualquiera =  x+1

Espero te haya servido!

Answer: True False True true

Step-by-step explanation:

Answer:

true

false

true

true

Step-by-step explanation:

Answer:

1. False

2. True

3. True

Step-by-step explanation:

Answer:

The two numbers that multiply to -5 and add to 4 are:

5 and -1

Step-by-step explanation:

5 • -1= -5

5 - 1= 4

Answer:

A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.

Such that each input can be mapped into only one output.

So for example, if we have a relation that maps the input 2 into two different values:

f(2) = 4

f(2) = 8

Then this is not a function.

In the case of the problem, we have a student as the input, and the hair color as the output.

So we will have something like:

f(student) = blond

And if this student decides to change his/her hair color to red?

Then the function becomes:

f(student) = red

So for the same input, we had two different outputs, which means that this is not a function.

We also could have the case where a given student has two colors (Californian for example)

Where again, we would see two different outputs for one single input.

Answer:  its 4x(3+2)-6÷ 1=14

Step-by-step explanation: in the picture

Answer:

V = 17,371.8

Step-by-step explanation:

V = π r^2 h

V = π (12)^2 (38.4)

V = 17,371.75073729

V = 17,371.8

You have to calculate the area of the base of the cylinder (the circle) by using the formula π r^2, r = the radius of the circle. You are squaring the r because r^2 = diameter. The formula to get the area of a circle is π r ^2. To get the volume you need to multiply the area of the circle by the height of the cylinder. All together the total formula to get the volume of a cylinder is π r^2 h

Answer:5.4

Step-by-step explanation:

Answer:

Yes it is possible. Start at (0,0) which is the orgin and go right on the x-axis 3 spaces, and go up on the y-axis 7 spaces to get to the ordered pair of (3,7).

Step-by-step explanation:

Answer:

they are the same

Step-by-step explanation:

We can conclude that the volume of cylinder 1 is 3/4 times the volume of cylinder 2.

The volume of cylinder is given by -

V = πR²h

Given is to compare the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to the volume of a cylinder with a radius of 8 inches and a height of 6 inches.

Volume of cylinder 1 will be -

V(1) = πR²h = 6 x 6 x 8π = 36 x 8π = 288π

Volume of cylinder 2 will be -

V(2) = πR²h = 8 x 8 x 6π = 64 x 6π = 384π

So, we can write that -

V(1)/V(2) = (288π)/(384π)

V(1)/V(2) = (288)/(384)

V(1)/V(2) = 3/4

Therefore, we can conclude that the volume of cylinder 1 is 3/4 times the volume of cylinder 2.

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