If 3n+ 4n = 42, then n is
a. 4.
a. 2
c. 7.
D. 21

Answer:

11

Step-by-step explanation:

217 = 19x + 8

209 = 19x

x = 209/19

x = 11

Answer:

y = 5x

Step-by-step explanation:

Form the equation:

y = 5 times x or y = 5x

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Answer:

Step-by-step explanation:

The inverse function of [tex]f(x) = 1.5^x + 4[/tex] is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]

In other words, the required answer is  [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]

To find the inverse of the function[tex]f(x) = 1.5^x + 4[/tex], we need to swap the roles of x and y and solve for y.

Start with the original function:

[tex]y = 1.5^x + 4[/tex]

Swap x and y:

[tex]x = 1.5^y + 4[/tex]

Solve for y:

Subtract 4 from both sides:

[tex]x - 4 = 1.5^y[/tex]

Take the logarithm (base 1.5) of both sides:

[tex]\log1.5(x - 4) = y[/tex]

Rewrite the equation with y as the subject:

y = log1.5(x - 4)

Therefore, the inverse function of [tex]f(x) = 1.5^x + 4[/tex] is [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]

In other words, the required answer is  [tex]f^{-1}(x) = \log1.5(x - 4)[/tex]

Learn more about inverse functions here:

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Answer:

mode in class 8A = 157 cm

mode in class 8B = 176 cm

median in class 8B = 165 cm

range in class 8A = 173-148= 25 cm

• many students class 8A are taller than class 8B

• the tallest student is in class 8B

Answer:

Thursday's mark is 3/4 inch below Monday's mark.

Answer: 82 degrees

Step-by-step explanation:

The option are missing in the question. The options are :

A.  P = 2, a = 1

B.  [tex]$P=\frac{1}{2} ; a =\frac{1}{3}$[/tex]

C. [tex]$P=\frac{1}{2} ; a =1$[/tex]

D. P = 2, a = 3

Solution :

The given function is [tex]$f(x)= Pa^x$[/tex]

So for the function to be an exponential growth, a should be a positive number and should be larger than 1. If it less than 1 or a fraction, then it is a decay. If the value of a is negative, then it would be between positive and negative alternately.

When the four option being substituted in the function, we get

A). It is a constant function since [tex]$2(1^x)=2$[/tex]

B). Here, the value of a is a fraction which is less than 1, so it is a decay function. [tex]$f(x)=\frac{1}{2}\left(\frac{1}{3}\right)^x$[/tex]

C). It is a constant function since the value of a is 1.

D). Here a = 3. So substituting, as the value of x increases by 1, the value of the function, f(x) increases by 3 times.

  [tex]$f(x)=2(3)^x$[/tex]

Therefore, option (D). represents an exponential function.

Answer:

Its P = 1/5 ; a = 2

Step-by-step explanation:

I am doing the test; I got it right.

Answer = 3/4

First, change them all into like fractions.

-2, -11/4, -7/2 = -8/4, -11/4, -14/4

Therefore the common difference of their arithmetic sequence is 3/4

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Thank You

Answer:

C

Step-by-step explanation:

use y=mx+c

follow the flow

Answer:

the equation should be y=1/2x+5

Step-by-step explanation:

Answer:

[tex]x = 6 \sqrt{3} [/tex]

Step-by-step explanation:

[tex]x = \sqrt{ {12 }^{2} - {6}^{2} } = 6 \sqrt{3} [/tex]

Answer:

height / shadow = height / shadow until sun moves or earth tilts

12/9 = h / 6

h = 6*12 /9 = (3*2*3*4 ) / (3*3) = 2 * 4 = 8

So C. 8ft

Answer:

the answer is 7 feet

2πr/2π=14π/2π

r=7 feet

Complete Question

A highway makes an angle of 6 degrees with the horizontal. This angle is maintained for a horizontal distance of 8 miles

To the nearest hundredth of a mile, how high does the highway rise in this

*mile section?

Answer:

[tex]h=0.84miles[/tex]

Step-by-step explanation:

From the question we are told that:

Angle [tex]\theta = 6 \textdegree[/tex]

Horizontal distance traveled [tex]d=8miles[/tex]

Generally the Trigonometric equation for Height  is mathematically given by

[tex]Tan \theta=\frac{h}{5}[/tex]

[tex]h=8*tan(6)[/tex]

[tex]h=0.84miles[/tex]

x = 4, y = 1

Step 1: use the equations given to find an equation with only 1 term. Here I used x.

(x + 2y) + (x - 2y) = 2x = 6 + 2 = 8

2x = 8

x = 4

Step 2: substitute x = 4 into either given equation. Here I used the first equation x + 2y = 6.

(4 + 2y) = 6

2y = 6 - 4 = 2

y = 1

This solution can also be done by finding y in step 1 or using the other given equation in step 2.

Hope this helped!

Answer:

6.4/7.7 is the ratio

Step-by-step explanation:

The bottom triangle matches the 50 40 90 angle, so the ratio of the triangle length is consistent

- Gage Millar, Algebra 2 tutor

9514 1404 393

Answer:

  a) Cat

  b) 8

  c) 6

Step-by-step explanation:

a) Each line contains one large square, at least. The smallest additional area is on the Cat line. Apparently, the fewest people preferred cats.

__

b) The smaller symbols appear to represent 1/4, 1/2, and 3/4 of the larger square. On that basis, we can add all of the symbols to discover there are a total of 10 of them:

  1 1/4 +1 3/4 +2 1/2 +1 1/2 + 3 = 8 + (1/4 +3/4) +(1/2 +1/2) = 8 +1 +1 = 10

Since 10 symbols represent 80 people, each large square symbol must represent 8 people.

__

c) The number preferring dogs is (1 3/4)(8) = 14. The number preferring giraffes is (2 1/2)(8) = 20. Then 20 -14 = 6 more people preferred giraffes.

Answer:

cat,8,6

Step-by-step explanation:

i think im not sure

Answer:

B

Step-by-step explanation:

It's B, because it's the only way to find n on both sides

Answer:

81, 000

Step-by-step explanation:

86 = 90

904 = 900

90 x 900 = 81, 000

Answer:

81,000

Step-by-step explanation:

Give the other person brainiest. They deserve it!

Hope I helped! Ask me anything if you have any questions! Hope you make an 100% and have a nice day! -Amelia♥

Answer:

[tex] \displaystyle WY = 24[/tex]

Step-by-step explanation:

refer the attachment

remember that,

the diagonals of Parallelogram bisect each other so WA=AY

thus our equation is

[tex] \displaystyle {x}^{2} - 24 = 2x[/tex]

move left hand side expression to right hand side and change its sign:

[tex] \displaystyle {x}^{2} - 2x - 24 =0[/tex]

rewrite 2x and 4x-6x:

[tex] \displaystyle {x}^{2} + 4x -6x - 24 =0[/tex]

factor out x:

[tex] \displaystyle x ({x}^{} + 4) -6x - 24 =0[/tex]

factor out -6:

[tex] \displaystyle x ({x}^{} + 4) -6(x + 4) =0[/tex]

group:

[tex] \displaystyle ({x}^{} + 4) (x - 6) =0[/tex]

recall that,

When the product of factors equals 0 then at least one factor is 0 so

[tex] \displaystyle \begin{cases} {x}^{} + 4 = 0 \\ x - 6 =0 \end{cases}[/tex]

[tex] \displaystyle \begin{cases} {x}^{} = - 4\\ x =6 \end{cases}[/tex]

since the length cannot be negative negative x isn't available

therefore

[tex] \displaystyle \therefore x = 6[/tex]

since WA and AY are the part of WY we acquire:

[tex] \displaystyle WY = {x}^{2} - 24 + 2x[/tex]

substitute the got value of x:

[tex] \displaystyle WY = {6}^{2} - 24 + 2.6[/tex]

simplify square:

[tex] \displaystyle WY = 36 - 24 + 2.6[/tex]

simplify multiplication:

[tex] \displaystyle WY = 36 - 24 + 12[/tex]

simplify addition:

[tex] \displaystyle WY = 48- 24[/tex]

simplify substraction:

[tex] \displaystyle WY = 24[/tex]

hence,

[tex] \displaystyle WY = 24[/tex]

Diagonals bisect each other

Take it positive

Now

We want to find the probability that Bob will randomly draw $30 in tokens. We will find that the probability is P = 1/6 = 0.167

The only case where he draws $30 randomly is when:

Then we need to find the probabilities for these two events.

For the first one, the probability will be equal to the quotient between the number of $5 tokens and the total number of tokens in the cup. There are 6 tokens in the cup and 2 of these are $5 tokens, then the probability is:

p = 2/6 = 1/3

For the second event the probability is computed in the same way, he has two tokens in his pocket and one of them is a $25 token, then the probability is:

q = 1/2

The joint probability, the probability that both of these events happen at the same time, is given by the product of the individual probabilities, so we get:

P = p*q = (1/3)*(1/2) = 1/6 = 0.167

So the probability that he draws $30 in tokens is P = 1/6 = 0.167.

If you want to learn more about probability, you can read:

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Answer:

4/9

Step-by-step explanation:

Answer:

Perimeter: 5 in

Area: 9 in^2

Step-by-step explanation:

Answer:

10.81 units

Step-by-step explanation:

Given data

point H ( -4,6 ) and point I ( 2,-3 )

x1= -4

y1=6

x2= 2

y2=-3

The formula for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((2-(-4))²+(-3-6)²)

d= √(2+4)²+(-9)²)

d= √(6)²+(-9)²)

d= √36+81

d=√117

d= 10.81 units

Hence the distance between the points is 10.81 units

Answer:

Area of 2 triangle = 1/2* base*height

= 1/2*21*20= 21*10= 210 cm ^2= 2*210= 420 cm^2

Step-by-step explanation:

Answer:

x > -13.82

Step-by-step explanation:

The first step in finding the solution set is to subtract 3.8 from both sides of the given inequality:

x > -10.02 - 3.8. or

x > -13.82

4, -4, 0 are examples of-iii. integers.

they are not in fractional.

Answer:

they held yearly elections so I would say democracy but I'm not 100% sure

Answer:A

Step-by-step explanation: