What is the value of the digit 1 in the number 13?

Answer:

1. [tex](-2^2)^{-6}[/tex] ÷ [tex](2^{-5})^{-4} \implies 2^{-32}[/tex]

2. [tex]2^4 . (2^2)^{-2} \implies 1[/tex]

3. [tex](-2^{-4}).(2^2)^0 \implies -2^8[/tex]

4. [tex](2^2).(2^3)^{-3} \implies 2^{-5}[/tex]

Step-by-step explanation:

1. [tex](-2^2)^{-6}[/tex] ÷ [tex](2^{-5})^{-4}[/tex] :

[tex] = \frac{ ( - 2 ^ 2 ) ^ { - 6 } } { ( 2 ^ { - 5 } ) ^ { - 4 } } = \frac{2^{-12}}{2^{20}} = 2^{-12-20}=2^{-32}[/tex]

2. [tex] 2 ^ 4 . ( 2 ^ 2 ) ^ { - 2 } [/tex] :

[tex]= 2^4 \times \frac{1}{2^4} = 1[/tex]

3. [tex](-2^{-4}).(2^2)^0[/tex] :

[tex]= (-2^4)^2 \times 1 = -2^8[/tex]

4. [tex](2^2).(2^3)^{-3}[/tex] :

[tex]= 2^4 \times \frac{1}{2^9} =\frac{1}{2^5} =2^{-5}[/tex]

Answer:

The answer is 1-2 2-4 3-4 and 4-3

Step-by-step explanation:

Answer:

your answer is 19,683 in^3

Step-by-step explanation:

i don't know what the heck an exercise cube is, but hey, it's the world of real world problems

volume of a cube = side length ^ 3

= 27*27*27

=19,683 in^3

If the side of cube is 27 inches then the volume of cube is 19683 [tex]inches^{3}[/tex].

The volume is the amount of substance a container can hold in its capacity. Substance can be liquid or solid. Volume of cube is side*side*side which can be written as [tex]side^{3}[/tex].

We have been given that the side of cube is 27 inches and we are required to find the volume of cube.

Volume=[tex]side^{3}[/tex]

Putting side=27.

Volume=[tex](27)^{3}[/tex]

=19683 cubic inches.

Hence if the side of cube is 27 inches then the volume of cube is 19683 [tex]inches^{3}[/tex].

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The answer would be -0.012345679.

The first thing you would do is substitute 3 in for x, seeing that you've told us x = 3. After you've substituted x, the equation would look something like:

f(3) = -3^-4. From here, all you have to do is solve! -3 to the power of -4 equals -0.012345679. Therefor, f(3) = -3^-4 equals -0.012345679

Answer:

- [tex]\frac{1}{81}[/tex]

Step-by-step explanation:

Using the rule of exponents

• [tex]a^{-n}[/tex] ⇔ [tex]\frac{1}{a^{n} }[/tex]

Hence

f(3) =- [tex]3^{-4}[/tex] = - [tex]\frac{1}{3^{4} }[/tex] = - [tex]\frac{1}{81}[/tex]

Answer:

The scale factor is equal to 10

Step-by-step explanation:

we know that

If two figures are similar. then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the larger circle

y ---> the area of the smaller circle

so

[tex]z^{2}=\frac{x}{y}[/tex]

we ahve

[tex]x=200\pi \ m^{2}[/tex]

[tex]y=2\pi \ m^{2}[/tex]

substitute

[tex]z^{2}=\frac{200\pi}{2\pi}[/tex]

[tex]z^{2}=100[/tex]

[tex]z=10[/tex]

therefore

The scale factor is equal to 10

The radius of the larger circle is 10 times greater than the ratio of the smaller circle

Answer:

5x-8/12y

Step-by-step explanation:

x+1

3y

+

x−2

4y

−(

x+3 /6y

=

30xy2−48y2

72y3

=

30x−48/72y

=

5x−8 /12y

Answer:

f(x)=-13

Step-by-step explanation:

-2x2+2x-3

-2(5)*2+2(5)-3

-10*2+10-3

-20+7=-13

I hope this helps!

Answer:

The value of f(5) is -43

Step-by-step explanation:

[tex]f(x)=-2x^2 + 2x - 3[/tex]

To find f(5) we plug in 5 for x in the given equation f(x)

Replace all x by 5

[tex]f(x)=-2x^2 + 2x - 3[/tex]

[tex]f(5)=-2(5)^2 + 2(5) - 3[/tex]

[tex]f(5)=-2(25) + 10 - 3[/tex]

[tex]f(5)=-50+ 10- 3=-43[/tex]

The value of f(5) is -43

Answer:

y+5 = -3(x-1)  point slope form

y = -3x-2 slope intercept form

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/ (x2-x1)

m = (7--5)/(-3-1)

   = (7+5)/(-3-1)

   = 12/-4

   = -3

The slope is -3

Then we can use point slope form to write an equation

y-y1 = m(x-x1)

y--5 = -3(x-1)

y+5 = -3(x-1)

This is in point slope form

Distribute

y+5 = -3x+3

Subtract 5 from each side

y+5-5 = -3x +3-5

y = -3x-2

This is in slope intercept form

first off, we know the angles at vertices C and F are right-angles, meaning both triangles are right-triangles.

we also know that sides AC = DF and BC = EF.

now, for right-triangles, if the two shorter legs are congruent in both triangles, the triangles are congruent by the Leg Leg theorem, namely LL.

Answer:

22

Step-by-step explanation:

Answer:

22 is the coefficient.

Step-by-step explanation:

Because the coefficient is always beside the variable

For Ex: 10x

where x is your variable and 10 is your coefficient.

Hope my answer has helped you!

Answer:

12

Step-by-step explanation:

g(1.5) is 8 - 3(1.5), or 8 - 4.5, or 3.5.

Then substitiute 3.5 for x in h(x) = 2x + 5:  h(g(1.5)) = h(3.5) = 7 + 5 = 12

Your question asks what the value of h(g(1.5)) is.

To find the answer to your question, we're going to need to solve g(x) first, then plug in the answer from g(x) to h(x).

Lets solve:

We're going to plug in 1.5 to our "x" variables in the g(x) equation.

Your equation should look like this:

[tex]g(x)=8-3(1.5)[/tex]

Now, you solve:

[tex]g(x)=8-3(1.5)\\\\g(x)=8-4.5\\\\g(x)=3.5[/tex]

You should get 3.5

Once you're done solving g(x), we would plug in the answer we got from the G(x) equation into our h(x) equation.

Your equation should look like this:

[tex]h(x)=2(3.5) + 5[/tex]

Then, you solve:

[tex]h(x)=2(3.5) + 5\\\\h(x)=7+5\\\\h(x)=12[/tex]

Once you're done solving, you should get 12

This means that the value of h(g(1.5)) is 12.

12 should be your FINAL answer.

Answer:

Step-by-step explanation:

She likely has more books than the Library of Congress.

First of all you have to take 1/2 the number

(1/2) 392,396 = 196198

sqrt(196198) = 443 rounded to the nearest whole number.

Answer:

x=-20

Step-by-step explanation:

Given

-6(x+7)= -4x - 2

First of all, we have to solve brackets

So,

-6x-42=-4x-2

To find the solution of this equation, we have to isolate x on one side of the equation.

Adding 4x on both sides

-6x-42+4x = -2-4x+4x

-2x-42 = -2

Adding 42 on both sides

-2x-42+42 = -2+42

-2x=40

Dividing both sides by -2

-2x/2 = 40/-2

x = -20

The equation has only one solution which is x=-20 ..

The Intersecting Secant Theorem says

EC × ED = EB × EA

(x+4)(x+4+1) = (x+1)(x+1+11)

(x+4)(x+5)=(x+1)(x+12)

x^2 + 9x + 20 = x^2 + 13 x + 12

8 = 4x

x = 2

Check:

6(7)=42

3(14)=42, good

Answer: 2

Answer:

D

Step-by-step explanation:

Using the converse of Pythagoras

If the square of the longest side equals the sum of the squares on the other 2 sides then the triangle is right.

longest side = 39

39² = 1521

36² + 15² = 1296 + 225 = 1521

The triangle is right since 36² + 15² = 39²

Answer:

Step-by-step explanation:

If a ≤ b <c is the length of the sides of a right triangle, then:

[tex]a^2+b^2=c^2[/tex]

We have

[tex]a=15\ in,\ b=36\ in,\ c=39\ in[/tex]

Check the equality:

[tex]L_s=15^2+36^2=225+1296=1521[/tex]

[tex]R_s=39^2=1521[/tex]

[tex]L_s=R_s[/tex]

It's a right triangle.

Answer:

b² - 4ac = 0

Step-by-step explanation:

The nature of the roots of a quadratic equation are determined by the discriminant, that is

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

x = - 3 indicates an equal root, hence b² - 4ac = 0

The slope is the amount of change in the value of y for every one unit increase in the value of x. Thus, what we are looking for is, if the value of x increases by 1, by how much will the value of y increase (or effectively decrease, if this value is negative)?

From the graph, we can see that as x increases, y decreases, therefor we know that this will be a negative number. Furthermore, if we look at the points (0, 1) and (4, 0), we can see that there has been a decrease of 1 unit (or an increase of -1 units) in the y-value for an increase of 4 units in the x-value. Thus, if we wanted to find how much the y-value increases for a one unit increase in the x-value we would have -1/4.

This also reflects the formula for the gradient being rise/run - there has been a 'rise' of -1 (negative since it has fallen rather than risen) and a 'run' of 4 (this refers to the amount of units in the x-direction).

Now we can see that either C or D is the answer.

To find the y-intercept, we simply look at what the y-value is when x = 0; looking at the graph, we can see that y = 1 when x = 0, thus the y-intercept is 1.

Given that the gradient is -1/4 and the y-intercept is 1, we can see that the answer is C.

Answer: OPTION C

(c) slope = Negative one-fourth, y-intercept = 1

     slope = -1/4, y -intercept =1

Step-by-step explanation:

The system of equations with y = -4x and y = 2x + 3 has no solution.

The system of equations with y = -4x and y = 2x + 3 has no solution. To determine this, we can set the two equations equal to each other and solve for x:

-4x = 2x + 3

Adding 4x to both sides, we get:

0 = 6x + 3

Subtracting 3 from both sides, we get:

-3 = 6x

Dividing both sides by 6, we get:

-1/2 = x

Substituting x = -1/2 back into either equation will result in a false statement, indicating that the system has no solution.

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Answer:

Convert the fraction to a decimal number. The fraction bar between the top number (numerator) and the bottom number (denominator) means "divided by." ...

Multiply by 100 to convert decimal number to percent. 0.25 × 100 = 25%

Step-by-step explanation:

Answer:

Divide the numerator by the denominator to get a decimal. Then move the decimal 2 places to the right and add the percent sign.

Answer:

-¼ = Slope

[0, 2] = y-intercept

y = -¼x + 2

Step-by-step explanation:

Your y-intercept is [0, 2] and your x-intercept is [8, 0] (not all the time your x-intercepts will be endpoints)]. Simply do rise\run until you hit another endpoint, starting from your y-intercept. As you can see, you go two blocks south, then eight blocks over east, since in this case, you are moving by increments of 2. If you were to recreate this graph in increments of 1, you would see that the simplification of -2\8, is -¼. That is why the rate of change is -¼. Do you understand?

Answer:

The ratio between 12 and 8 is 1.5, so you need to divide every other number by 1.5.

2/1.5=1.3

9/1.5=6

18/1.5=12

Hope this helps!

Step-by-step explanation:

[tex]\bf x(2x+4x^2-5-3x)\implies x(\stackrel{\textit{like-terms}}{2x-3x}+4x^2-5)\implies x(-x+4x^2-5) \\\\\\ -x^2+4x^3-5x\implies \stackrel{\textit{general form}}{4x^3-x^2-5x}[/tex]

Answer:

Here's what I get.

Step-by-step explanation:

x(2x + 4x² - 5 – 3x)

1. Distribute the x

2x² + 4x³ - 5x - 3x²

2. Combine like terms

4x³ - 5x – x²

3. Write the expression in order of descending powers of x

[tex]\boxed{\mathbf{4x^{3} - x^{2} - 5x}}[/tex]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]g(x)=\left|x+3\right|[/tex]

we know that

The graph is V-shaped

The vertex of the function is the point (-3,0)

The y-intercept is the point (0,3)

The graph in the attached figure

Answer:

D

Step-by-step explanation:

In year 0, we have 6.

In year 1, we have 6(4)

In year 2, we have 6(4)(4) or 6(4)^2

The 4 is the repeated factored

The answer is D

Answer:

8

Step-by-step explanation:

We cannot solve this, since this is an expression, not an equation.

Lets simplify the expression

4(10x+2)-40x

Distribute the 4

40x +8 - 40x

8

Answer:

[tex]\displaystyle =8[/tex]

Step-by-step explanation:

Distributive property:

       ↓

 A(B+C)=AB+AC

A=4,  B=10x, and C=2

[tex]4*10x+4*2[/tex]

Simplify.

[tex]40x+4*2[/tex]

[tex]4*2=8[/tex]

[tex]40x+8[/tex]

[tex]40x+8-40x[/tex]

Group like terms

[tex]40x-40x+8[/tex]

Add numbers from left to right.

[tex]40x-40x=0[/tex]

[tex]\displaystyle 8[/tex], is the correct answer.

Hope this helps!

For this case we must find the product of the following expressions:

[tex](-2x ^ 3 + x-5) (x ^ 3-3x-4)[/tex]

We apply distributive property, that is, we multiply term by term, taking into account that:

[tex]- * - = +\\- * + = -[/tex]

[tex]-2x ^ {3 + 3} + 6x^{3 + 1} + 8x ^ 3 + x ^ {1 + 3} -3x1 + 1 -4x-5x ^ 3 + 15x + 20 =\\-2x ^ 6 + 6x ^ 4 + 8x ^ 3 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20[/tex]

If we multiply:

[tex](x ^ 3-3x-4) (- 2x ^ 3 + x-5)[/tex]

We will obtain the same result because we would be applying the commutative property of multiplication.

ANswer:

[tex]-2x ^ 6 + 6x ^ 4 + 8x ^ 3 + x ^ 4-3x ^ 2-4x-5x ^ 3 + 15x + 20[/tex]

Answer:

2x^6+7x^4+3x^3-3x^2+11x+20

Step-by-step explanation:

.................. yw!! for nyone still wondering

Answer:

90

Step-by-step explanation:

13.5/.15

To solve this you must use a proportion like so...

[tex]\frac{part}{whole} = \frac{part}{whole}[/tex]

15 is a percent and percent's are always taken out of the 100. This means that one proportion will have 15 as the part and 100 as the whole

We want to know out of what number is 13.5 15% of. This means 13.5 is the part and the unknown (let's make this x) is the whole.

[tex]\frac{13.5}{x} =\frac{15}{100}[/tex]

Now you must cross multiply

13.5*100 = 15*x

1350 = 15x

To isolate x divide 15 to both sides

1350/15 = 15x/15

90 = x

This means that 15% of 90 is 13.5

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

4X4=16

16X16=256

Step-by-step explanation:

Hi there! My name is Zalgo and I am here to provide you with your answer for today! So, 4x^2*4x^2 (4xSquared multiplied by 4xSquared) is quite simply. When you square a number, you are multiplying that number by itself (so, 4 times 4 equals 16). Once you have done that, you are left with 16 times 16. 16 multiplied by 16 is 256!

I hope that this answer helps! :D

"Stay Brainly and stay proud!" - Zalgo

(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Thank you! :3)

Answer:

AB=30.9 AC=29.9

Step-by-step explanation:

Rest of the answer is in the picture.

Answer:

AC= 29.9

AB= 30.9

Answer:

about 50 000 i think sorry if this didnt hep

Step-by-step explanation:

To calculate the previous population before a 15% increase that resulted in a current population of 59,800, we use the formula: Previous Population = Current Population / (1 + Percentage Increase), which yields a previous population of approximately 52,000.

The question pertains to determining what the previous population of a city was before it experienced an increase of 15%. Given that the current population is 59,800, we can calculate the previous population using the formula:

Current Population = Previous Population * (1 + Percentage Increase)

To find the Previous Population, we rearrange this formula:

Previous Population = Current Population / (1 + Percentage Increase)

By substituting in the given values:

Previous Population = 59,800 / (1 + 0.15)

Previous Population = 59,800 / 1.15

Previous Population = 52,000 (approximately)

Therefore, the previous population of the city was around 52,000 inhabitants before the 15% increase.

The domain is the input value of an equation/ graph, which is the X value.

The X value on a graph is the horizontal axis across the bottom.

The X-axis for this is the months, so the answer is The domain represents a 11-month period of flower production.