Helps me solve this problem please

1. The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] will be;

⇒ x⁻² = 4

2. The value of √e⁷/e⁵ will be;

⇒ e

3. The equivalent expression of 3 will be;

⇒ ln e³

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

1. The expression is the equation [tex]log_{x} 4 = - 2[/tex].

2. The equation is √e⁷/e⁵.

3. The number is 3.

Now,

The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] is calculated as;

[tex]log_{x} 4 = - 2[/tex]

By the definition of logarithmic, we get;

4 = x⁻²

Hence, The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] will be;

⇒ x⁻² = 4

2. The equation is √e⁷/e⁵.

Solve as;

√e⁷/e⁵ = √ e ⁷ ⁻ ⁵

           = √ e²

           = e

Thus,  The value of √e⁷/e⁵ will be;

⇒ e

3. Since, by the definition of logarithmic;

[tex]ln_{e} e = 1[/tex]

So, By option 1;

[tex]ln_{e} e^3[/tex] = [tex]1 * 3[/tex] = [tex]3[/tex]

Thus, The equivalent expression of 3 will be;

⇒ ln e³

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Answer:

B

Step-by-step explanation:

Answer:

[tex] E_{T} = 36.84 J [/tex]        

Step-by-step explanation:

La energía mecánica total está dada por:

[tex] E_{T} = E_{c} + E_{p} [/tex]

[tex] E_{T} = \frac{1}{2}mv^{2} + mgh [/tex]

En donde:

m: es la masa = 150 g

v: es la velocidad = 0.8 m/s

h: es la altura = 25 m

g: es la gravedad = 9.81 m/s²

[tex] E_{T} = \frac{1}{2}mv^{2} + mgh = \frac{1}{2}0.15 kg*(0.8 m/s)^{2} + 0.15 kg*9.81 m/s^{2}*25 m = 36.84 J [/tex]

Por lo tanto, la energía mecánica total es 36.84 J.

Espero que te sea de utilidad!      

Answer:

I think

Step-by-step explanation:

it is answers is m is 117

Answer:

x = 17deg

Step-by-step explanation:

angle DCE = angle ACB (vertically opposite angles)

therefore,

x + 100 = 4x + 49

3x = 51

x = 17deg

Answer:

X=

Step-by-step explanation:

First you have to divide the shape into to triangles. Triangle CED and triangle ACB.

Second you have to find what angle C is in the triangle ACB. For this you'll have to:

Find out which of the sides are which. For triangle ACB, side CB is the hypotenuse, CA and AB are adjacent.

The formula we use is [tex]a^{2} +b^{2} =c^{2}[/tex].  a and b are adjacent and c is hypotenuse.

When you found what angle C is, you can go on and to the second triangle same theorem applies to the second triangle [tex]a^{2} +b^{2} =c^{2}[/tex]. At this stage you will already know two angles, 100 and c, so finding E using this formula will be easy

Answer:

13ft

Step-by-step explanation:

Kindly find attached a rough draft of the situation.

Step one:

Given data

The length of the slide represents the

Hypotenuse of the situation on the rough sketch

Angle =33°

Required

The height of the ladder which is the adjacent of the rough sketch represented by x

Step two:

Applying SOH CAH TOA

Cos θ= adj/hyp

Cos 33=x/15

0.84=x/15

Cross multiplying

x=0.84*15

x=12.6

To the nearest foot the ladder is 13ft tall

Answer:

The answer is C

Step-by-step explanation:

Just calculate it

Answer:

−62,654,192 is your answer

Answer:

-62,654,192

Step-by-step explanation:

Use a calculator!

Answer:

A. 200 minutes

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

Answer:

y = 150x + 400

Explanation:

Slope intercept form is :    y = mx + b

B is the y intercept, you can also think of it like a starting value, in this case Susan starts with $400 dollars

M is the slope, you can also think of it like a value that is consistently changing over time, in this case Susan saves(or earns) $150 each month.

If you want to figure how much money she will have in a certain number of months, plug the number of months (x), into the x in     y = 150x + 400.

Answer:

$93.8

Step-by-step explanation:

(*markup is an increase in price)

67 + ( 40% × 67 )

= 67 + ( 40/100 × 67/1 )

= 67 + 26.8

= 93.8

......................................................................................

Answer:

2n+2*3-6n

(-2*-3)+4n-(4n*2)

Answer:

Step-by-step explanation:

Step one:

given data

total cost of equipments= $245

cost of each uniform=$21

Total purchase = $518

Step two:

The amount spent on uniform is total purchase minus the total cost of equipment

=518-245

=$273

Hence the total cost of the uniform is $273

if one will cost $21, then the number of uniforms they bought is

=273/21

=13 uniforms

Answer:

25 uniforms

Step-by-step explanation:

518/21= 24.6 round to 25

Answer:

25

Step-by-step explanation:

First step is to imagine a line that comes straight down from angle b.

This forms a 90 angle AND perfectly bisects angle b.

A triangle has 180 degrees and the angles we currently know are 25 and 90. add those two together and you get 115.

Subtract that from 180 and you get 65 for one part of angle b.

Since the line perfectly bisects angle b, the other side is also 65.

Now, we have the entire triangle DAB.

Angle B is 65x2=130

Angle A is 25

180 degrees in a triangle

130+25=155 degree that we know.

180-155=25 degrees

Answer:

m < EAD = 29 degrees

m < CAB = 119 degrees

Given :

The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees

Solution:

1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)

2. m<BAC + m<EAC = 180 degrees (sum of linear pair)

3. m<CAB = 180 degrees - m<EAC

4. Equation 1: m<CAB = m<EAF = 119 degrees

5. m<EAF = m<EAD + m< DAF

6. m<EAD = m<EAF - m<DAF

7. m<EAD = 119 degrees-90 degrees = 29 degrees

Hope this helps!!! :)

Attached photo work is created by another brainly user named tallinn.

Click on this link to find his work and possibly more information of the answer. Thanks!

m < EAD = 29 degrees

m < CAB = 119 degrees

It is given that Angle C A E is 61 degrees,

angle D A F is 90 degrees,

angle F A B is 61 degrees

We need to find mAngleEAD and  mAngleCAB

What is sum of linear pair angles?

The sum of linear pairs is 180 degrees

Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)

m<BAC + m<EAC = 180 degrees (sum of linear pair)

m<CAB = 180 degrees - m<EAC

Equation 1: m<CAB = m<EAF = 119 degrees

m<EAF = m<EAD + m< DAF

m<EAD = m<EAF - m<DAF

m<EAD = 119 degrees-90 degrees = 29 degrees

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Answer:

the answer is D because i asked SIRI and BIXBI and they both said the same answers

Step-by-step explanation:

Step-by-step explanation:

When one side of the Earth is at high tide, then the opposite side of the Earth is also at high tide?

(True)

Answer:

Deena

Step-by-step explanation:

Answer:

8.9 minutes

Step-by-step explanation:

Converting Everly Kilometer race to miles

1 km = 0.621 miles

10 km =

10 × 0.621 miles

= 6.21 miles

Hence,

6.21 miles = 55 minutes

1 mile = x minutes

Cross Multiply

6.21 × x = 55 × 1

x = 55 minutes/6.21

x = 8.8566827697 minutes

Approximately = 8.9 minutes

Answer:

y=35x

Step-by-step explanation:

...................

I need points but Y=34x

Answer:

Slower

Step-by-step explanation:

If 100 cans per 20 minutes continues, it would be 200 cans per 40 minutes, which is more than 160 cans per 40 minutes

Answer:

4x - 6 = -2

Step-by-step explanation:

i dont really know how to explain this one

Answer:

[tex]4x-6=-2[/tex]

Step-by-step explanation:

So since it says 6 is less than that means we will be putting the 6 in front of the number that's going to be 4x because the product of 4 and x is shown by 4x. Then lastly it says all "is -2" that means all that equals -2.

Answer:

x=15

Step-by-step explanation:

9²+12²=c²

81+144=c²

225=c²

√225=√c

15=c

The measure of the x is 15.

Given

The length of the base is 9 and the perpendicular is 12.

Pythagoras theorem states that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

The length of the hypotenuse is x.

Therefore,

[tex]\rm (Hypotenuse )^2= (Base)^2+ (Perpendicular)^2\\\\(x)^2=(9)^2+(12)^2\\\\144+81=x^2\\\\x^2 = 144+81\\\\x^2=225\\\\x=15[/tex]

Hence, the measure of the x is 15.

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Answer:

x-intercept: -1/2

y-intercept: 5/2

Step-by-step explanation:

Answer:

The item cost 125.53159 cents per ounce if its sales price is $44.28 per kilograms

Step-by-step explanation:

The sale price of item is $44.28 per kilograms. We need it to convert into cents per ounce.

We know that 1 dollar per kilogram = 2.83495 cents per ounce

So, 44.28 dollars per kilograms = 2.83495 * 44.28 cents per ounce

                                                     = 125.53159 cents per ounce

So, the item cost 125.53159 cents per ounce if its sales price is $44.28 per kilograms

Answer:

-5

Step-by-step explanation:

When answering these problems, I like to think of dirt stacks. (Weird, but it helps.)

Okay, so you have a stack of dirt one foot off the ground. Then you dig six feet down, including the stack.  Because the stack will be 5 feet into the ground now, the answer is -5.

Answer:

12/5

Step-by-step explanation:

5/2 = 6/x

in order to solve for x, you can do cross multiplication hence,

5x = 6(2)

x = 12/5

Answer:

12/5

Step-by-step explanation:

5/2=6/x

5x=12

X=12/5.

So the answer is 12/5

Answer:

a) Yes

b) for reference, draw the line y = x, and reflect it over that, this reflection will be your inverse. Or switch the x and y values of each point of the function.

Here is a photo of the original function in black, it's inverse in red, and the line of reflection y = x in blue:

c) No, because it fails the vertical line test, when you draw a vertical line across the inverse function, it hits it more than once.

d) Domain of the original function: -6 ≤ x ≤ 6 ; x(the domain) is greater than or equal to -6 and less than or equal to 6.

e) Domain of inverse function: 0 ≤ x ≤ 4 ; x(the domain) is greater than or equal to 0 and less than or equal to 4.

f) Range of the original function: 0 ≤ y ≤ 4 ; y(the range) is greater than or equal to 0 and less than or equal to 4.

e2) Range of the inverse function: -6 ≤ y ≤ 6 ; y(the range) is greater than or equal to -6 and less than or equal to 6.

f2) x-intercept of original function: -6

g) y-intercept of the inverse function: -6

h) x-intercept of the inverse function: 4

i) y-intercept of the original function: 4

j) (2,2) or any point where the x, and y are the same within the function, or the point where the function intersects y = x.

Answer: it has to be D

Answer:

The Answer is D) Just did the test!!

Step-by-step explanation: