Evaluate The Expression Shown Below And Write Your Answer As A Mixed Number In Simplest Form. (2024)

In other words, write it in exponential form.

To write a as a power of 2, your log form should be written this way: log_2 (5) = a.

We can then then write it in exponential form showing a as a power of 2.

Here it is:

2^(a) = 5

Answer:

-8/7

Step-by-step explanation:

First, find the slope of line c.

(x1, y1) = (9, 10)

(x2, y2) = (1, 3)

The slope formula is:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Solve for the slope using the given values:

[tex]m=\frac{3-10}{1-9}\\\\m=\frac{-7}{-8}\\\\m=\frac{7}{8}[/tex]

The slope of line c is 7/8. To find the slope perpendicular to it, you need to find the negative reciprocal of that number. An example of that would be 2 and -1/2. Basically, flip the fraction and the +/-.

In this case, the negative reciprocal of 7/8 is -8/7. The image below doesn't account for the y-intercept, but it does show that the slopes are perpendicular.

Answer:

slope = - [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

Calculate the slope m of line c using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 10 ) and (x₂, y₂ ) = (1, 3 )

m = [tex]\frac{3-10}{1-9}[/tex] = [tex]\frac{-7}{-8}[/tex] = [tex]\frac{7}{8}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{7}{8} }[/tex] = - [tex]\frac{8}{7}[/tex] ← slope of line d

Answer:

Our simplified ratio is 3:10.

Step-by-step explanation:

We are given this ratio:

7.2:24

We can tell that 7.2:24 = 7.2/24. Now, let's simplify.

=> 7.2/24 = 6/20=> 6/20 = 3/10

Our simplified fraction is 3/10. Now, let's turn it back to ratio form.

=> 3/10 = 3:10

Conclusion:

Therefore, our simplified ratio is 3:10.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

888.125

Step-by-step explanation:

(225/.25) - 11.875

(Divide 225 by .25)

900 - 11.875

888.125

Answer:

3.25

Step-by-step explanation:

Rule: An absolute value will always be positive.

=> Referring to the rule, the absolute value of |–3.25| is 3.25.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

1. Parallelogram2. Parallelogram3. Parallelogram

Step-by-step explanation:

I am un-sure of the answers. I apologize if this is incorrect.

Hoped this helped.

Answer:

A

Step-by-step explanation:

[tex]\huge \sf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf {x}^{2} - 10xy + 21 {y}^{2} [/tex]

[tex] \sf {x}^{2} - 7xy - 3xy + 21 {y}^{2} [/tex]

[tex] \sf x(x - 7y) - 3y(x - 7y)[/tex]

[tex] \sf( x - 7y)(x - 3y)[/tex]

Hence, the correct choice is ~ A

Answer:

10

Step-by-step explanation:

This is because 10×4=40

10+5=15

40+5=45

45/15=3

Answer:

Step-by-step explanation:

Let E and F represent Eli and his Father's current ages.

We are told that E = (1/4)F. ["Eli is now one quarter of his father’s age"]

But in 5 years, that will be:

(E+5) = (1/3)(F+5) ["In 5 years’ time his age will be one third of

his father’s age"]

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

We have two equations and two unknowns. Find a way to eliminate one of the two variables and then solve for the remaining variable.

E = (1/4)F

(E+5) = (1/3)(F+5)

It seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:

(E+5) = (1/3)(F+5)

((1/4)F+5) = (1/3)(F+5)

(1/4)F - (1/3)F = (1/3)*5 - 5

F - (4/3)F = (4/3)*5 - 20

-(1/3)F = (20/3) - (60/3)

-(1/3)F = (-40/3)

F = (120/3)

F = 40 years

E = 10 years (based on E = (1/4)F)

====

In five years: F is 45 and E is 15, which would make Eli 1/3 of his father's age in 5 years.

Using the range concept, it is found that the greatest element in the range of this relation is 9.

The range of a data-set is the set that contains all possible outputs.The data-set has the format (x,y), in which the values of y are the outputs.

Hence, the range is: {0, 5, 8, 9}.

From the given range, the greatest element is 9.

For more on range of data-sets, you can check https://brainly.com/question/10891721

Answer:

The value of p is -9.

Step-by-step explanation:

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

m=(p-3)/(9-6)

m=(p-3)/3

-4=(p-3)/3

-4*3=p-3

-12=p-3

p=-12+3

p=-9

Answer:

0 & 0

Step-by-step explanation:

In order to find the answer to these two questions you need to use the slope formula, substitute, subtract, and simplify if needed.

[tex](-2,-5),(-2,-5) = (x^1,y^1),(x^2,y^2)[/tex]

Slope formula = [tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]

Substitute: [tex]\frac{-5--5}{-2--2} =[/tex]

[tex]\frac{-5--5}{-2--2} =-5--5 = 0[/tex]

[tex]-2--2 = -2+2=0[/tex]

[tex]= 0[/tex]

[tex](-3,-6),(-3,-6)=(x^1,y^1),(x^2,y^2)[/tex]

[tex]m=\frac{-6--6}{3--3}[/tex]

[tex]-6+6=0[/tex]

[tex]-3+3=0[/tex]

[tex]=0[/tex]

Hope this helps.

The first term is: f(1)=6(1-2) f(1)=6(-1) f(1)=-6
The second term is: f(2)=6(2-2) f(2)=0
The third term is f(3)=6(3-2) f(3)=6
The fourth term is: f(4)=6(4-2) f(4)=12
The fifth term is: f(5)=6(5-2) f(5)=18
The sixth term is: f(6)=6(6-2) f(6)=24

The sequence is: -6, 0, 6, 12, 18, 24

Answer:

d. Right 5 and down 3

Step-by-step explanation:

If you have a given graph and then find that it is altered, the changes to the x (something added to or subtract from x) will be on the graph by translating (sliding) the graph left or right. Horizontal changes are probably the opposite of what they seem like they should be: x+_ moves the graph left and x-_ moves the graph right.

A number added on to the end of the equation will shift (translation, again) the graph up (a number added on) or down (a number subtracted). So in this case the x-5 moves the graph to the right 5 units and the - 3 at the end of the equation moves the graph down three units.

Answer:

Step-by-step explanation:

1) So -8+2v<2, 2v<10, v<5. That means that at "5" on the axis, you'll draw a circle that's not filled in (because it's <5, not [tex]\leq[/tex]5) and then draw a box-y thing to the left. Sorry, can't really describe it, but if you look at the picture attached, you'll understand

2) -12m-8[tex]\leq[/tex]-5m-7m, so -12m-8[tex]\leq[/tex]-12m, -8[tex]\leq[/tex]0. This one doesn't have a variable... so you can't really graph it?

The expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]

If Latisha works [tex]x[/tex] hours each day

Demetrius works one more hour than Latisha each day. Algebraically, Demetrius works [tex](x+1)[/tex] hours each day

So for a [tex]5[/tex]-day working week, Demetrius will work

[tex](x+1)+(x+1)+(x+1)+(x+1)+(x+1)\\=5\times (x+1)\\=5(x+1)hours[/tex]

If we remove the brackets, we have the equivalent expression

[tex]5(x+1)=5x+5[/tex]

So the expressions that calculate the number of hours that Demetrius works in a week are [tex]5(x+1)\text{ and }5x+5[/tex]

Learn more about word problems here: https://brainly.com/question/17067890

[tex] Area \:of\: rectangle = l \times b \\ = 3 \times 6 \\ = 18 {cm}^{2} [/tex][tex] Area\: of\: triangle = \frac{ab}{2} \\ = \frac{4 \times 6}{2} \\ = 12 {cm}^{2} [/tex]

Total area = 12 + 18 = 30cm²

Answer:

Area of the right angled triangle:-

= height × base ÷ 2

= 4 cm × 6 cm ÷ 2

= 4 cm × 3 cm

= 12 cm²

Area of the rectangle:-

= length × breadth

= 6 cm × 3 cm

= 18 cm²

Area of the figure:-

= 12 cm² + 18 cm²

= 30 cm²

Answer:

Not Step-by-step explanation:

Not enough info

[tex]\huge \bf༆ Answer ༄[/tex]

The equivalent expressions are ~

Question : 1

[tex] \sf \: - 3(7 + 5g)[/tex]

[tex] \sf - 21 - 15g[/tex]

[tex] \sf- 15g - 21[/tex]Question : 2

[tex] \sf \:( x + 7) + 3y[/tex]

[tex] \sf \: x + 7 + 3y[/tex]

[tex] \sf \: x + 3y + 7[/tex]Question : 3

[tex] \sf \dfrac{2}{9} - \dfrac{1}{5x} [/tex]

[tex] \sf \dfrac{10x - 9}{45x} [/tex]

Question : 1- 3(7 + 5g)−3(7+5g)

- 21 - 15g−21−15g

- 15g - 21−15g−21Question : 2( x + 7) + 3y(x+7)+3y

x + 7 + 3yx+7+3y

x + 3y + 7x+3y+7Question : 3 2 - 1

9 5×

10× - 9

45×

3/ 8

of a cup.

Explanation:

You want half of the recipe, so you want half of

3/4

of a cup.

Of means multiplication when it comes to fractions, so multiply

3/4 by 1/2 to get 3/4 ⋅ 1/2 = 3/8

Answer:

A

Step-by-step explanation:

Hi

Answer:

x=6

Step-by-step explanation:

x=2y

4x-3y=15

4(2y)-3y=15

8y-3y=15

5y=15

y=3

x=2y

x=2(3)

x=6

Answer:

49 degree

Step-by-step explanation:

Answer:

$6.40

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.4

Answer:

3 3/4

Step-by-step explanation:

Answer:

Yes. All real numbers are either rational or irrational.

Step-by-step explanation:

The set of all irrational numbers is commonly defined as the set of all real numbers that are not rational.

Let [tex]\mathbb{R}[/tex] denote the set of all real numbers. Let [tex]\mathbb{Q}[/tex] denote the set of all rational numbers.

For any given real number [tex]x[/tex] ([tex]x \in \mathbb{R}[/tex],) either [tex]x\![/tex] is rational ([tex]x \in \mathbb{Q}[/tex]) or [tex]x\!\![/tex] isn't rational ([tex]\lnot (x \in \mathbb{Q})[/tex], such that [tex]x \not\in \mathbb{Q}[/tex] and thus [tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex].)

Assume that [tex]x[/tex] isn't a rational number. By the definition of rational numbers, since [tex]x\!\![/tex] is a real number but not a rational number ([tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex],) [tex]x\![/tex] would be an irrational number.

Therefore, either [tex]x[/tex] is rational or [tex]x\![/tex] is irrational. Every real number would either be rational or irrational.

Answer:

Asa

Step-by-step explanation:

Because if u look left to right on one triangle there is a angle and in between they have a com on line and on the right theres another angle so There for it’s angle side angle

Step-by-step explanation:

PT=2QS = 2×8 = 16m

therefore perimeter of ∆PRT = 6+16+14 = 36m

hope this helps you.

Answer:

I think the answer is D please forgive me if I'm wrong