15. Is it possible for one ray to be shorter in length than another? Explain.

Answer:

$36,529.26

Step-by-step explanation:

To find the answer, you need to use the formula to calculate the present value:

PV=FV/(1+i)^n, where:

PV= present value

FV= future value= $200,000

i= interest rate= 12%

n= number of periods of time= 15

Now, you have to replace the values in the formula:

PV=200,000/(1+0.12)^15

PV=200,000/(1.12)^15

PV=36,539.26

According to this, the answer is that you need $36,529.26 today.

Answer:

greater than 1

Step-by-step explanation:

Answer:

greater than 1

Step-by-step explanation:

Answer:

option a is correct

Step-by-step explanation:

step 1:

3 (C+2)+11

step 2:

3C+6+11

step 3:

3C+17

hope it helped you:)

Answer:

[tex]g[/tex] = 22.5°

[tex]f[/tex] = 67.5°

Step-by-step explanation:

Let’s create a system of equations for [tex]f[/tex] and [tex]g[/tex].

Complementary angles are two angles that add up to 90°, so [tex]f+g=90[/tex]

Also, [tex]f[/tex] is thrice of g: [tex]f=3g[/tex]

We can now substitute [tex]3g[/tex] in [tex]f+g=90[/tex] for [tex]f[/tex].

[tex]3g + g = 90\\\\4g = 90\\\\g=22.5[/tex]

Now, we can find [tex]f[/tex] by substituting [tex]g[/tex] into either equation.

[tex]f + 22.5 = 90\\\\f = 90-22.5\\\\f = 67.5[/tex]

Hope this helped!

Answer:c

Step-by-step explanation:

This is how it should be when you are representing an exponential equation to a logarithmic equation

[tex]y=a^{x}[/tex]→log y base a =x

therefore the answer is c

The exponential equation which rewrites the logarithmic equation is given by 6ˣ = 18

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

log₆ 18 = x

From the properties of logarithm , we get

log Aⁿ = n log A

On simplifying , we get

6ˣ = 18

where the value of x = 1.61314

Hence , the exponential equation is 6ˣ = 18

To learn more about logarithm click :

https://brainly.com/question/12049968

#SPJ2

Answer:

510

Step-by-step explanation:

4,590/9=510

Answer:

24

Step-by-step explanation:

2x-4= -8×-3= 24

When you look at the P.E.M.D.A.S. method you have to do what's in the PERENTESSE first so that means 2x-4 is the first thing that I are solving and you get -8 now you have to multiply -8 by -3 then you get 24

Answer:

r < −8

I hope this helps!

Answer: OPTION 3. -7

Step-by-step explanation:

Given

-52=-4x-5(-2x+2)

Distributive property (REMEMBER you need to change signs)

-52=-4x-5×(-2x)-5×2

-52=-4x+10x-10

Combine like terms (-4x and 10x)

-52=6x-10

Add 10 on both sides

-52+10=6x-10+10

-42=6x

Divide 6 on both sides

-42/6=6/6x

x=-7

Hope this helps!! :)

Please let me know if you have any question

x = -7

[tex]-52=-4x-5(-2x+2)\\-52=-4x+10x-10\\-52=6x-10\\-42=6x\\-7=x[/tex]

to make sure, plug x in the equation:

[tex]-52=-4(-7)-5(-2(-7)+2)\\-52=28-5(14+2)\\-52=28-70-10\\-52=28-80\\-52=-52[/tex]

Answer:

6 ounces of oil

Step-by-step explanation:

Well the first salad dressing is probably 8 ounces because 2+6 = 8

Then we must find out how large this recipe compares to the original

24/8 = 3

So we need all the ingredients to be tripled to keep the same ratio of 2:6

The new dressing has 2*3 ounces of oil and 6*3 ounces of vinegar

which equals 6 ounces of oil and 18 ounces of vinegar.

Hope this helps!

(pls mark brainliest)

Answer:

See below.

Step-by-step explanation:

Refer to the graph.

The range of a graph is the span of y-values it covers.

From the graph, we can see that the span of y-values is all values greater than or equal to 0.

Therefore, our range is, in interval notation:

[tex][0,\infty)[/tex]

Note that we use brackets with the 0 because 0 is included in our range.

In set notation, this is:

[tex]\{y|y\in\mathbb{R},y\geq 0\}[/tex]

Answer:

[See Below]

Step-by-step explanation:

✦ In this figure there are two shapes; A triangle and a square. So you'll need to know the area formula for both:

  ✧ Square ∼ s² (Side Squared)

  ✧ Triangle ∼ ½ × b × h

✦ So now just solve for each area:

  ✧ Square ∼ 15² = 225

  ✧ Triangle ∼  ½ × 15 × 3 = 22.5

✦ Now add each area together to get the total area:

  ✧ 225 + 22.5 = 247.5

~Hope this helps Mate. If you need anything else feel free to message me.

Answer:

= (3/5)-³

= (5/3)³

= (5/3) × (5/3) × (5/3)

= (125/27)

Hope it helps.

Answer:

62/9

Step-by-step explanation:

.88888888 is 8/9

Multiply 9*6 to get the whole amount

9*6 = 54

Add 8 because that's the fractional amount.

54 + 8 = 62

So 62/9 will give you 6.8888888889

Answer:

27

Step-by-step explanation:

5×6-(6/2)

=30-3

=27

Answer:

[tex] 27[/tex]

Step-by-step explanation:

[tex]5w - \frac{w}{x} = \frac{5w}{1} - \frac{w}{x} = \frac{5(6)}{1} - \frac{6}{2} = 30 - 3 = 27[/tex]

or

[tex] \frac{5(6) }{1} - \frac{6}{2} = \frac{30}{1} - \frac{6}{2} = \frac{60 - 6}{2} = \frac{54}{2} [/tex]

Answer:

Let A (2a, 4a)

     B(2a, 6a)

    C (2a + sqrt (3a), 5a)

Side AC:

[tex]\sqrt{(2a+\sqrt{3a}-2a)^2+(5a-4a)^2 }=\sqrt{3a+a^2}[/tex]

Side BC:

[tex]\sqrt{(2a+\sqrt{3a}-2a)^2+(5a-6a)^2 }=\sqrt{3a+a^2}[/tex]

Hence AC = BC

It is an isoceles triangle.

Side AB:

[tex]\sqrt{(2a-2a)^2+(6a-4a)^2 }=\sqrt{2a^2}=2a[/tex]

It proves that the triangle is NOT an equilateral triangle.

Answer:

the answer will be 2a2  – 2b – 1 because he simplified the expression en He He  simplified it and then substracted tb from the y interecept.hop e yall are doing great  dsorry for that my laptop ins broken and my keyboardletters are fadded so i cant see well but the asnswer is correct.triust me.

Step-by-step explanation:

The expression in its simplified form is 2a² - 2b -1 .

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.

The given expression is -5 + b +2a²-3b + 4.

Simplify the expression as follows:

-5 + b +2a²-3b + 4

= 2a² - 2b -1

Hence, the expression in its simplified form is 2a² - 2b -1 .

Learn more about the algebraic expressions:

https://brainly.com/question/953809

#SPJ5

Answer: 9,000

Step-by-step explanation:

Answer:

$11

Step-by-step explanation:

92=$9.20

100?

920/100x110/92

After this you will get 11 dollars.

That is the amount to send 110 text messages.

The cost to send 110 text messages is $11.

Given that, it cost Paisley $9.20 to send 92 text messages.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the cost to send 110 text messages be x.

Now, 9.20:92::x:110

⇒ 9.20×110=92×x

⇒ 92x=1012

⇒ x=1012/92

⇒ x=$11

Hence, the cost to send 110 text messages is $11.

To learn more about the proportions visit:

https://brainly.com/question/7096655.

#SPJ3

Answer:

Step-by-step explanation:

a) -72 = 8 + -6 -2

-72 = 0

b)  -4 + (-32) = (-4.4)

-36 = -4.4

Answer:

180°

Step-by-step explanation:

JM is the diameter of the circle with center L.

[tex] \huge \red{ \boxed{\therefore m\widehat{(JKM)} = 180\degree}} \\ [/tex]

Answer:

5

Step-by-step explanation:

-6b> -8-22

-6b> -30

b> -30/-6

b>5

Answer:

So we have this inequality:

[tex]-6b + 22 > -8[/tex]

We substract 22 on both sides:

[tex]-6b > -30[/tex]

Now, we divide both sides by -6 and we change the sign, as, when we multiplicate or divide by a negative number we always have to do it:

[tex]b < \frac{-30}{-6}[/tex]

[tex]b < 5[/tex]

So we know b < 5, so the biggest integer b can represent is 4. Note that the solution is any number which is smaller than 5.

Answer:

3

Step-by-step explanation:

Because Johns friends both got 3 and 5 so he needs a number higher to win i.e 6, 7, 8 so the answer is three.

Second  Option is correct.  

There will be  3 desired outcomes John should use in his probability calculation.

Probability is the measure of the likelihood of occurrence of an event.

An outcome is a possible result of an experimental or trial.

[tex]P(A) = \frac{number of favorable outcomes }{Total number of outcomes}[/tex]

where,

P(A) is the probability of an event.

According to the given question

we have

sample space = {1,2,3,4,5,6,7,8}

Total number of outcomes = 8

Jhon needs to spin a number higher than both friends in order to win the game

⇒ the numbers must be greater than 5

⇒ the numbers will be 6, 7, 8

therefore,

the total number of favorable outcomes =3.

Hence. there are 3 desired outcomes should John use in his probability calculation.

Learn more about probability here:

https://brainly.in/question/5372704

#SPJ2

Answer:

y = 1/2x + 3

O f(x)= 1/2x+3

Step-by-step explanation:

f(x) = 2x - 6

y = 2x - 6

x = 2y - 6

2y = x + 6

y = (x + 6)/2

y = 1/2x + 3

Answer:

C.

x = -3/4

y = -3 1/2

Step-by-step explanation:

We can graph the systems of inequalities to find our answer. Where the 2 graphs intersect will be our solution point.

Answer:

Lin was better than Clare

Step-by-step explanation:

Clare

Lin

Comparing data for both Clare and Lin, we can see that:

Conclusion

Reason

Answer:B - 12ft2

Step-by-step explanation:

Answer:

3 and 18

Step-by-step explanation:

let x be the first number

let 6x be the second number

x + 6x = 21

7x=21

x=21/7

x=3

second number =6x

second number 6x3= 21