A retired math teacher takes his grandson shopping. He tells his grandson that they can spend x
dollars and x - 72.6 = 11. What operation does the grandson need to use to find how much money
they can spend?

Answer:

x = -4.604

Step-by-step explanation:

Here, we want to get the value of x

We start by dividing through by 5

e^(2x + 11) = 30/5

e^(2x + 11) = 6

Writing this in natural logarithm form, we have;

ln 6 = 2x + 11

2x + 11 = 1.792

2x = 1.792-11

2x = -9.208

x = -9.208/2

x = -4.604

The value of x from the given equation is

x=-4.604

Given :

[tex]5e^{2x+11} =30[/tex]

To solve for x , we need to get exponent 'e' alone

First we divide both sides by 5

[tex]e^{2x+11} =6[/tex]

Now we write the given exponent in logarithmic form

Lets take ln on both sides

[tex]lne^{2x+11} =ln6\\(2x+11)lne=ln(6)\\[/tex]

The value of ln(e) is 1

[tex](2x+11)=ln(6)\\2x+11=ln(6)\\subtract \; 11 \; on \; both \; sides\\2x=ln(6)-11\\Divide \; both \; sides \; by \; 2\\x=\frac{ln(6)-11}{2} \\x=-4.60412[/tex]

The value of x from the given equation is

x=-4.604

Learn more :  brainly.com/question/185913

Answer:

a) missing exponent is 8

b) missing exponent is -5

c) missing exponent is 15

d) missing exponent is 6

Step-by-step explanation:

for 'a' and 'b' you have to ADD the exponents

for 'c' you have to SUBTRACT the exponents

for 'd' you have to MULT the exponents

let 'n' = missing exponent

a) -5 + n = 3

    n = 8

b)  3 + n = -2

    n = -5

c) n - 6 = 9

   n = 15

d) 5n = 30

    n = 6

Answer:

The number of quarters was translated incorrectly and should be p – 7.

Answer:

D. The number of quarters was translated incorrectly and should be p – 7.

I'm taking the assignment and I got it right just now

Step-by-step explanation:

Answer:

x = 12.5 or 12 1/2 (depends if you want decimal or fractions)

Step-by-step explanation:

Step-by-step explanation:

a. 73-24+24=73

b. 59+35-35=59

c. k+m-m=k

Answer:

he or she got 18 right

Step-by-step explanation:

each question is worth 1 point .

if they where worth 10 each

making the answer 80%

Answer:

-16+3y=-10

subtract -10 from both sides

-6+3y=0

divide by 3

-2+y =0

y=2

Answer:

1,2,4, and the last one

Step-by-step explanation:

That's my final answer

Answer:

D. 1,963 square inches

Step-by-step explanation:

Using the formula of the area of the circle A= [tex]\pi[/tex][tex]r^{2}[/tex] and assuming that the radius is 25 inches.

Then,

A = [tex]\pi[/tex](25 inches)^2

A = (3.14)(25inches)^2

A = 1,963 square inches

However, you did not state that r = 25 inches, so this might not be correct, but  good luck and I hope this helps a little!

Answer:

NHM: 80/10 = 8, 8 X 1 = 8

P: 80/8 = 10, 10 X 5 = 50

BG: 80 - 50 - 8 = 22

botanical gardens 22

Answer:

84

Step-by-step explanation:

Minus 7 times minus 12 equals io 84 as the minus cancels out when u multiply by 2 minus because a minus and a minus equals to a positive

Answer:

Associative Property.

Answer:

Simplified expression; 3x + 17

The value of the function for the given value of x is 26

Step-by-step explanation:

Restructured

Simplify each expression and evaluate it for x=3, 3(2x+6)−(3x+1) The simplified expression is : The value of the expression for the given x is :

Given the expression;

3(2x+6) - (3x-1)

On simplification:

= 3(2x) + 3(6) -3x + 1

= 6x + 18 - 3x + 1

= 6x - 3x + 18-1

= 3x + 17

If x = 3

f(3) = 3(3) + 17

f(3) = 9 + 17

f(3) = 26

Note the question was re-structured since the given question was not too clear

Answer:

10.77

Step-by-step explanation:

by using Pythagoras theorem we can find the distance between the points,

so...

distance between the points, which is the hypotenuse will be xy

difference between the y coordinates will be dy

difference between the x coordinates will be dx

according to pythagoras theorem,

[tex]xy^{2} = dx^{2} + dy^{2} \\xy^{2} = (-6-(-2))^{2} + (-5-5)^{2}\\xy^{2} =(-4)^{2} +(-10)^{2} \\xy^{2} =16+100\\xy^{2} =116\\xy =\sqrt{116} \\xy=10.77[/tex]

Answer:

Please show what the drop bars show

Step-by-step explanation:

That way we know the options <3

Answer:

m<1 = 40°

m<2 = 118°

m<3 = 71°

Step-by-step explanation:

✔️m<2 = 180° - 62° (angles in a straight line/supplementary angles)

m<2 = 118°

✔️m<1 = 180° - (118° + 22°) (sum of ∆)

m<1 = 40°

✔️m<3 = 180 - (47 + 62) (sum of ∆)

m<3 = 71°

Answer:

The inequality that represents the fruit sales is [tex]s > 250[/tex].

Step-by-step explanation:

Let [tex]s[/tex] the fruits sales of Jimmy, measured in dollars. Given that he needs to selle more than $ 250 of fruit at his produce stands in order to make the profit, he needs to satisfy the following inequation or inequality:

[tex]s > 250[/tex]

Answer:

i dont know

Step-by-step explanation:

Answer:

X is equal to 1.2

Step-by-step explanation:

6/5 equals 1.2

i don't have to sound rude but can i have brainliest please i need 4 more :')

Answer:

8.6

Step-by-step explanation:

To find the distance between two points we use the formula posted below

All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with

the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267

then we round to the nearest tenth and get 8.6

Complete question is;

After examining daily receipts over the past year, it was found that the green parrot italian restaurant has been grossing over $2200 a day for about 85% of it's business days. Using this as a reasonably accurate measure, find the probability that the green parrot will gross over $2200:

A. At least 5 of the next 7 business days.

B. at least 5 of the next 10 business days.

C. less than 3 of the next 5 business days.

d. Exactly 7 of the next 10 business days

e. At least 1 of the next 5 business days.

Answer:

A) P(X ≥ 5) = 0.9262

B) P(X ≥ 5) = 0.9986

C) P(X ≤ 2) = 0.0266

D) P(X = 7) = 0.1298

E) P(X ≥ 1) = 0.9999

Step-by-step explanation:

This is a binomial probability distribution problem and as such we will use the formula;

P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)

A. At least 5 of the next 7 business days will be;

P (X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7)

P(X = 5) = C(7, 5) × 0.85^(5) × (1 - 0.85)^(7 - 5)

P(X = 5) = 0.20965

P(X = 6) = C(7, 6) × 0.85^(6) × (1 - 0.85)^(7 - 6)

P(X = 6) = 0.396

P(X = 7) = C(7, 7) × 0.85^(7) × (1 - 0.85)^(7 - 7)

P(X = 7) = 0.320577

Thus;

P(X ≥ 5) = 0.20965 + 0.396 + 0.320577

P(X ≥ 5) = 0.9262

B. Probability of at least 5 of the next 10 business days will be;

P(X ≥ 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

From online binomial calculator attached, we can see that the answer is;

P(X ≥ 5) = 0.9986

C. Probability of less than 3 of the next 5 business days will be;

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

From online binomial calculator attached, we can see that the answer is;

P(X ≤ 2) = 0.0266

D. Probability of exactly 7 of the next 10 business days will be;

P(X = 7) = C(10, 7) × 0.85^(7) × (1 - 0.85)^(10 - 7)

P(X = 7) = 0.1298

e. Probability of at least 1 of the next 5 business days will be;

P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

From third image attached using online binomial calculator, we have;

P(X ≥ 1) = 0.9999

Answer:

120 ways

Step-by-step explanation:

We have the total number of people in this baking club = 10, Mike inclusive.

We are asked to find how to form an executive committee of 3 from these 10 people

We solve this using combination method

10C3

= 120 possible committees

So out of these 10 people we can select a committee of 3 persons in 120 ways.

Thank you.

Answer:

Option C : 173.8 km² is the correct answer.

Step-by-step explanation:

Given that:

Side length = 6 kilometers

A shape with 8 sides is called an octagon, therefore, the given figure is an octagon.

Area of octagon is given by;

Area = [tex]2(1+\sqrt{2})a^2[/tex]

Putting a=6

Area = [tex]2(1+\sqrt{2})(6)^2[/tex]

Area = [tex](2+2\sqrt{2})(36)[/tex]

Area = 173.82

Rounding off to one decimal place

Area = 173.8 km²

Hence,

Option C : 173.8 km² is the correct answer.

Answer:

Each answer multiplied by 10 that lead to the ultimate answer for 10 x 3 will be even.

Step-by-step explanation:

10×1= 10

10×2= 20

10×3= 30

Answer: they are not

Step-by-step explanation:

y=x has a slope of 1 because the m value is 1.

x+y=-2 has a slope of -1 because when we subtract x from both sides, we get that y=-x-2 and the m value is -1

Answer:

b

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer:

$-17

Step-by-step explanation:

Answer:

im pretty sure the other person got it correct

Answer: The slope is 15/4.

Step-by-step explanation:

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

M = (5 - (-10))/(-1 - (-5))

M = (5 + 10)/(-1 + 5)

M = 15/4