Growth and decay question

Answer:

[tex]\Huge \boxed{\mathrm{55}}[/tex]

Step-by-step explanation:

[tex]-7x + 6[/tex]

Put x as -7 and evaluate the expression.

[tex]-7(-7)+6 \\\\\\ 49+6 \\\\\\ 55[/tex]

Answer:

n=2

Step-by-step explanation:

25n=2×25

Divide each side by 25

25n/25=2×25/25

n = 2 * 25/25

n =2

Answer:

X = 13

Step-by-step explanation:

42 - X = 29

Subtract 42 from each side

42-42 - X = 29-42

-X = -13

Multiply each side by -1

X = 13

Answer: $39.60

Step-by-step explanation:

Here is the correct question:

Christopher has breakfast at a cafe and the cost of his meal is $36.00 . because of the service he wants to leave a 10% tip.What is his total bill including tip?

His total bill will be the addition of the cost of his meal and the tip. This will be:

= $36.00 + (10% × $36.00)

= $36.00 + $3.6

= $39.60

His total bill including tip is $39.60

Answer: 336+6i

The key to solving this problem is to choose which parts you should solve first.

2i(3-4i)+8(4-5i)(4+5i)​

let's divide this expression to three parts:

2i(3-4i), 8 and (4-5i)(4+5i)​

first let's solve 2i(3-4i):

2i(3-4i) =

2i × 3 + 2i × -4i =

6i - 8i² =

6i + 8

(4-5i)(4+5i)​:

(4-5i)(4+5i)​ =

16 + 20i - 20i -25² =

16 + 25 =

41

8(4-5i)(4+5i)​:

8(4-5i)(4+5i)​ = 8 × 41 = 328

Now let's put back these parts:

2i(3-4i)+8(4-5i)(4+5i)​ =

6i + 8 + 328 =

6i +336 OR 336 +6i

Answer: 72.416

Step-by-step explanation:

The measurement is closest to the side length of this counter top in feet is 10.17ft

The formula for calculating the area of a square is expressed as:

area of a square = L^2

where

L is the length of a square

Given the following parameter

A = 103.5ft^2

Substitute

103.5ft^2 = L²

L = √103.5

L = 10.17ft

Hence the measurement is closest to the side length of this counter top in feet is 10.17ft

he measurement is closest to the side length of this counter top in feet is 10.17ft

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Answer:

See Bold Texts

Step-by-step explanation:

Given

The steps to solve:

[tex]3( x - 2 ) = 2( x - 3 ).[/tex]

Required

Order the steps with reasons

[tex]3( x - 2 ) = 2( x - 3 ).[/tex]

Open Brackets

[tex]3(x) + 3(-2)= 2(x)+ 2(-3)[/tex]

Open Brackets

[tex]3x - 6 = 2x -6[/tex]

Collect Like Terms

[tex]3x - 2x = -6 + 6[/tex]

[tex]x =0[/tex]

Answer:

i believe X=4? sorry math is not my strong suit and probably didn't get the answer right!

Answer: She used 370 milliliters of juice

Step-by-step explanation:

Answer:

3 with the exponent of four.

Step-by-step explanation:

You would count the number of of three's. Since there are four three's, then you would write the 4 right by the three on the top right hand corner.

The exponential expression is [tex]3^4[/tex].

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

3 x 3 x 3 x 3

The form to write an exponential expression.

= [tex]Base^{Exponents}[/tex]

Now,

There are four 3's and we can write it as an exponent form where the base is 3 and the exponent is 4.

So,

= [tex]3^4[/tex]

Thus,

The exponential expression is [tex]3^4[/tex].

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11.) 0.5.

12.) 0.25.

13.)1/2,0.49,55%.

14.)2/5,0.6,35%.

15.) To get a whole number from a fraction you have to multiply the fraction by the denominator of the fraction=5/9×9=5.

or you can say that can add 4/9 to 5/9=9/9=1 a whole number also

Answer:

Step-by-step explanation:

Given the step 3 and 4 of the solution Step 3: -6x − 8 < -2 Step 4: -6x < 6

From step 3;

-6x − 8 < -2

Michael got the step 4 by adding 8 to both sides of the inequality as shown;

-6x − 8 + 8 < -2 + 8

-6x < 6 (Step 4)

Since Michael added 8 to both sides of the inequality, the property that justifies the transition from step 3 to step 4 is the addition property of inequality. Addition property is the property that adds an integer to both sides of an inequality without altering the inequality sign and also retaining the inequality equation.

Answer:

It is A

Step-by-step explanation:

It is A: it shows the total change in Akash's account because he paid the bill

In a bank statement the amount that you pay always shows negative it means the money withdraw from the account

Antarctica , I think

Step-by-step explanation:

Answer:

4 MIUSE 90 PLUSE 22

Step-by-step explanation:

Answer:

$1807.94

Step-by-step explanation:

Given that:

Annual income = $43047

Social security (FICA tax) = 4.2% of the gross wages

To find:

Social security paid = ?

Solution:

Social security (FICA tax) is calculated by finding the 4.2% of the Total Gross Annual income.

i.e. for the given value, the social security paid can be calculated as:

4.2% of $43047

[tex]\Rightarrow \dfrac{4.2}{100}\ of \ \$43047\\\Rightarrow \dfrac{42}{1000}\times 43047\\\Rightarrow 0.042\times 43047\\\Rightarrow \bold{\$1807.97}[/tex]

Therefore, the Social Security paid is $1807.94.

Answer:

5g

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

a = a leg

b = another leg

c = hypotenuse

Step 1: Plug in known variables

x² + 10² = 26²

Step 2: Evaluate

x² + 100 = 676

Step 3: Isolate x term

x² = 576

Step 4: Isolate x

√x² = √576

x = 24

Answer:

[tex]x=24[/tex]

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem.

The Pythagorean Theorem is:

[tex]a^2+b^2=c^2[/tex]

The hypotenuse is c, and the legs are a and b.

Plug in 26 for c since 26 is the hypotenuse, and let 10 for a and x be b. Therefore:

[tex]x^2+10^2=26^2[/tex]

Square:

[tex]x^2+100=676[/tex]

Subtract 100 from both sides:

[tex]x^2=576[/tex]

Take the square root of both sides:

[tex]\sqrt{x^2}=\sqrt{576}\\x=\sqrt{576}=24[/tex]

The answer is 24.

Answer:

10 kg

Step-by-step explanation

Explanation:

Kinetic Energy = 1/2 * M (V square )

M is mass and V is velocity of the ball

500J = 1/2 *M *( 10)*(10)

M = 10 kg

Answer:

10 kg

Step-by-step explanation:

Formula for the kinetic energy:

½mv²

Find the mass:

= ½ × m × 10² = 500 joules

= 50 × m

m = 500 ÷ 50

m = 10 kg

The answer is 10 kg.

Answer:

5 thirteenth ti the nearest tenth Is .6

Answer:

0.4

Step-by-step explanation:

First make it a decimal:

5/13 (divide)

0.38 (round)

So you get 0.4

Answer:

first one is A. I have no idea what the second is. good luck, it might be D.

Answer:

1) 3x³ - x² - 15x + 5

2) x² - 4

3) (5, 3)

4) f⁻¹(x) = 1/3x - 4

Step-by-step explanation:

1......................

Correct option is A.

2......................

Correct option is D.

3......................

Point (5, 3) is the inverse of point (3,5)

Correct option is C

4......................

To get the inverse of the function, switch over domain and range:

Correct option is D.

Answer:

A. (-5,9)

Step-by-step explanation:

hard to explain but i found the distance of M and B which is (4,7). using this i added that with M which equals (-5,9)

(sorry for bad explanation)

Answer:

d=rt

rt=d

t= d/r

t= 40/8

t= 5

Answer:

[tex](\frac{4}{3},-3)[/tex]

Step-by-step explanation:

The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at ([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) is given by the formula:

[tex]x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1[/tex]

From the graph, the location of the point is P(2, 5), R(1, -7). Let point Q be (x, y) which divides PR in ratio 2:1. Coordinates of point Q is at:

[tex]x=\frac{a}{a+b}(x_2-x_1)+x_1=\frac{2}{2+1}(1-2)+2=\frac{2}{3}(-1)+2=\frac{4}{3} \\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1=\frac{2}{2+1}(-7-5)+5= \frac{2}{3}(-12)+5=-3[/tex]

Point Q is at [tex](\frac{4}{3},-3)[/tex]

Complete question :

During a science experiment, Daniel noted the starting temperature of a -4°F. At the end of the experiment, the change in temperature was -5°F. What was the final temperature?

A.-1 B.1 C.9 D.-9

Answer:

D.) - 9

Step-by-step explanation:

Given the following :

Temperature at the start of experiment = - 4°F

At the end of experiment, change in temperature = - 5°F

This means between the temperature at the start of the experiment was - 4°F and during the cause of the experiment, there was a change in temperature of - 5°F.

Hence, the final temperature is the sum of the initial temperature and and the temperature change recorded.

Initial temperature + temperature change

-4°F + (-5°F)

- 4°F - 5°F = - 9°F

Hence, final temperature = - 9°F

Answer:

The answer is 9

Given the following :

Temperature at the start of experiment = - 4°F

At the end of experiment, change in temperature = - 5°F

This means between the temperature at the start of the experiment was - 4°F and during the cause of the experiment, there was a change in temperature of - 5°F.

Hence, the final temperature is the sum of the initial temperature and and the temperature change recorded.

Initial temperature + temperature change

-4°F + (-5°F)

- 4°F - 5°F = - 9°F

Hence, final temperature = - 9°F

Answer:

can't see the options.

Step-by-step explanation:

Answer:

3c - 5

steps: A=3c+5

Answer:

Exponents multiply a base number by itself continuously

Step-by-step explanation:

Exponents create repeated multiplication, where the base number will be continuously multiplied by itself.

The number of times it will be multiplied depends on the exponent.

For example, 2³ will be the number 2 multiplied by itself 3 times.