f(x)=2^x evaluate f(5)

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8^14 is the answer.

This is because since they both have the same base, the exponents could be added together if the numbers are multiplied together

Hello Tim!

[tex]8^1^0*8^4[/tex]

First you had to used apply exponent rule.

[tex]8^1^0*8^4=8^1^0^+^4=8^1^4[/tex]

[tex]=8^1^4[/tex]

Answer⇒⇒⇒8¹⁴

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

3 pens  per 1 seconds it is so easy

Final answer:

To find the actual distance from Rose Lake to the hiking trail, a proportion is used based on the given information of the map scale, resulting in an actual distance of 7 miles.

Explanation:

The question involves solving for an actual distance on a map scale, which is a proportional relationship problem in mathematics. To find the actual distance between Rose Lake and the hiking trail, we can set up a proportion using the given distances: if 2 inches on the map equal 3.5 miles in reality, then 4 inches would represent the distance from Rose Lake to the hiking trail (since the relationship between inches on the map and actual miles should be consistent).

Set up the proportion as follows:

2 inches (map) / 3.5 miles (real) = 4 inches (map) / X miles (real)

Now, solve for X, which represents the unknown actual distance in miles. By cross-multiplying and solving for X, we get:

X = (4 inches * 3.5 miles) / 2 inches

Therefore, the actual distance between Rose Lake and the hiking trail is 7 miles.

CE is equal to 58 units.

To find the length of CE, we'll use the fact that D is the midpoint of CE. The midpoint of a line segment divides it into two equal parts.

If CD is one part and DE is the other, then we can set up an equation:

CD=DE

9X−7=3X+17

Now, solve for X:

6X=24

X=4

Now that we have the value of X, substitute it back into either CD or DE to find the length of each part:

CD=9X−7=9(4) −7=36−7=29

DE=3X+17=3(4) +17=12+17=29

Now, since D is the midpoint, CD and DE are equal.

CD=DE=29

Finally, CE, the total length, is the sum of CD and DE:

CE=CD+DE=29+29=58

So, CE is indeed 58

The inequality is

[tex]-32> -5+9x[/tex]

We need to isolate x and for that first we need to get rid of 5 by adding 5 to both sides.

[tex]-32+5 +-5+9x+5\\-27>9x\\[/tex]

Now we need to get rid of 9 and for that we divide both sides by 9 .That is

[tex]-\frac{27}{9}>\frac{9x}{9}[/tex]

[tex]-3>x[/tex]

[tex]x<-3[/tex]

The distance formula is given by:

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]

We are given two points A and B as

A(1,1) and

B(7,-7)

so we have ,

x1 = 1 , y1=1

x2= 7 and y2=-7

Plugging these in the formula we have:

[tex]d=\sqrt{(7-1)^{2}+(-7-1)^{2} }[/tex]

d=√(36+64)

d=√100

d=10

Answer: The distance between A(1,1) and B(7,-7) is 10

Answer:

d=10 units

Step-by-step explanation:

Hello.

Step 1

the formula of the distance between two points is based on the Pythagorean theorem, which states that in a rectangle :

[tex]side^{2} +side^{2}=hypotenuse^{2}\\[/tex]

Now, suppose we have two points P1(X1,Y1) and P2(X2,Y2), the distance between the two points will be the hypotenuse of our triangle, the difference in x will be the adjacent leg, and the difference in coordinates in y will be our opposite leg.

adjacent side =X2-X1

opposite side=Y2-Y1

hypotenuse=distance between P1 and P2

replacing

[tex]adjacent\ leg^{2} +opposite\ leg^{2}=hypotenuse^{2}\\(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1})^{2}=(distance between\ P1\ and\ P2)^{2}\\ distance between\ P1\ and\ P2=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1})^{2}} \\\\[/tex]

we take only the positive root because it is a distance, a negative distance makes no sense

Step 2

find the distance between A(1,1) and B (7,-7) using the formula

Let

P1=A(1,1)

P2=B(7,-7)

put the values into the formula

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1})^{2}} \\let\\\\x_{1}=1,y_{1}=1,x_{2}=7,y_{2}=-7\\d=\sqrt{(7-1) ^{2} +(-7-(1))^{2}}\\d=\sqrt{(6) ^{2} +(-8)^{2}}\\d=\sqrt{36 +64}\\d=\sqrt{100}\\ d=10[/tex]

d=10 units

Have a good day.

*I hope this will help*

(3 x 16) + (2 x 21) + 8

3 people made 16, which is 48

2 made 21, making 42

and 1 made 8, making 8

The answer would be c. because there is 3 players with 16 points (3x16) and 2 with 21 points (2x21) so (3x16)+(2x21) and one player scored 8 points so (3x16)+(2x21)+8

I hope this helps     have a nice day

Answer:

It is 8 3 pointers and 13 2 pointers

Step-by-step explanation:

8 x 3 = 24

13 x 2 = 26

24 + 26 = 50

The bulldogs made 13 2-pt shots and 8 3-pt shots.

Let's assume that the bulldogs made x 2-pt shots and y 3-pt shots. Since each 2-pt shot is worth 2 points and each 3-pt shot is worth 3 points, we can set up the following equations: 2x + 3y = 50 (equation 1) and x + y = 21 (equation 2). To solve this system of equations, we can multiply equation 2 by 2 to get 2x + 2y = 42, and then subtract equation 1 from it. This gives us y = 8. Substituting y = 8 into equation 2, we get x + 8 = 21, which means x = 13. Therefore, the bulldogs made 13 2-pt shots and 8 3-pt shots.

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3s+6 <=  -5(s+2)

3s+6 <=  -5s - 10

8s + 6 <= -10

8s <= -16

  s <= -2

87 Pounds would be the correct answer I believe.

5x=29x

x=3

87 pounds

Since $5 = 29. You can multiply both 5 and 29 to get 15=87 pounds

Let x= #1 number

let y= #2 number

We would get xy-3 as the answer

ab-3 is the required expression for the sentence "3 less than a product of two numbers". Here a and b are two numbers.

we need to write expression for 3 less than a product of two numbers

The product is the multiplication of two integers.

Let a be one number

b be second number

Product of two numbers is ab.

as given 3 less than a product of two numbers

we get ab-3.

Therefore ab-3 is the required answer for 3 less than a product of two numbers.

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Answer:

296

Step-by-step explanation:

111/3 = 37

37 * 8 = 296

Hope this helps :-)

The perimeter is 32m add all sides to find perimeter

2/3 x 12 = 8

8 jelly beans were eaten

You would have to multiply 2/3 and 12 to find out how many jelly beans were eaten. 2/3*12=8

The formula of a midpoint:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have:

[tex]A(7,\ 12)\to x_A=7,\ y_A=12\\B(-1,\ 6)\to x_B=-1,\ y_B=6[/tex]

Substitute:

[tex]\dfrac{7+(-1)}{2}=\dfrac{7-1}{2}=\dfrac{6}{2}=3\\\\\dfrac{12+6}{2}=\dfrac{18}{2}=9[/tex]

Answer: 4:1

Step-by-step explanation:

Given:- Number of tables in the classroom=6

Number of students on each table = 4

thus number of students in the classroom =6×4=24 students

Now ratio of numbers of students to the tables in the classroom= numbers of students/tables in the classroom=24/6=4/1=4:1

Ratio of numbers of students to the tables in the classroom= 4:1

Answer:

[tex]\displaystyle \frac{dy}{dx} = -4x \sin x^2 \sin (\cos x^2) \cos (\cos x^2)[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \sin^2 (\cos x^2)[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Follow below steps:

The question is asking to identify how many days will pass before Heather will have both a jelly sandwich and milk again, given that she eats a jelly sandwich every 5th day and drinks milk every 4th day. To find out when Heather will have both on the same day again, we need to find the Least Common Multiple (LCM) of the two numbers, 5 and 4.

The multiples of 5 are 5, 10, 15, 20, 25, and so on. The multiples of 4 are 4, 8, 12, 16, 20, and so on. The first common multiple of both 5 and 4 is 20. Therefore, Heather will have both a jelly sandwich and milk together on every 20th day after today.

So, after today, Heather will wait 19 more days before having both a jelly sandwich and milk on the same day again.

First the two angles are equal to one another so take note of that.

Now setup the equation which will be

x+90=4x

Now get rid of alike terms

So subtract x from both sides

90=3x

Now divide 90 by 3

x=30

Answer:  The correct option is

(C) x = 30.

Step-by-step explanation:  We are given to find the value of x from the figure shown.

From the figure, we note that the angles with measures (x+90)° and 4x° are vertically opposite angles.

Since the measures of two vertically opposite angles are equal, so we must have

[tex](x+90)^\circ=4x^\circ\\\\\Rightarrow x+90=4x\\\\\Rightarrow 4x-x=90\\\\\Rightarrow 3x=90\\\\\Rightarrow x=\dfrac{90}{3}\\\\\Rightarrow x=30.[/tex]

Thus, the required value of x is 30.

Option (C) is CORRECT.

Answer:

1968

Step-by-step explanation:

I use the following method when it comes about products of big numbers

I grab the longer and put on the first line, below I put the smallest number.

492

x 4

Now, it is time to distribute the product, term by term, remember that when performing a product, if the result is greater or equal than 10, you need to carry a number for the following product.

      492

        x 4

--------------------

   19    6    8

(end) (c3) (nc)

nc means: not carrying anything since 4x2=8 and 8 <10

c3 means: carrying 3 since 4x9= 32 and 32 >10

end means: put the whole number and sum it what you were carrying. 4*4+3=19

The product 492*4=1968

The product of 4 multiplied by 492 equals 1968. To find this, we used a step-by-step approach using basic multiplication and the distributive property.

To determine the product of 4 multiplied by 492, you can execute the following steps:

Therefore, 4 × 492 = 1968.

[tex]\left(\dfrac{3}{\sqrt5}\right)\left(\dfrac{4}{\sqrt3}\right)=\dfrac{3\cdot4}{\sqrt5\cdot\sqrt3}=\dfrac{12}{\sqrt{5\cdot3}}=\dfrac{12}{\sqrt{15}}\\\\=\dfrac{12\cdot\sqrt{15}}{\sqrt{15}\cdot\sqrt{15}}=\dfrac{12\sqrt{15}}{15}=\dfrac{12\sqrt{15}:3}{15:3}=\dfrac{4\sqrt{15}}{5}[/tex]

[tex]Used:\\\\\sqrt{a}\cdot\sqrt{b}=\sqrt{ab}\\\\\sqrt{a}\cdot\sqrt{a}=a[/tex]

(64+36)x50= 5,000

Brainliest Please

50(64 + 36) = 5000

Hope this helps

-AaronWiseIsBae

For unit rate, divide the total dollar amounts by the amount of the item you have.

in number 1:

18 golf balls equal $32.99

so divide 32.99 by 18

32.99

 18

This tells us that 1 golf ball costs roughly $1.83

2. Do the same thing except put the ounces of juice under the total cost

2.75

 15

This will tell us that 1 oz of juice costs $0.18.

Since this is in word form, it is a rule in higher math to answer in the same format.

The unit rate for one golf ball is $1.83, and it costs $0.18 per ounce of juice.

a total of $9500 is invested, part at 10% simple interest and part at 9%

if the total annual return from the two investments is $914.00

Amount invested = 9500

Total amount return means total yield = $914

Let x amount  is invested at 10% simple interest

Interest for first part =  10 % times x = 0.10x

Remaining part invested is 9500 -x

Interest for remaining amount = 9% (9500 -x) = 0.09(9500-x)

Total interest yield is 914. Now we frame an equation

0.10x + 0.09(9500-x) = 914

0.10x +855 - 0.09x = 914 (combine like terms)

0.01 x + 855 = 914 (subtract 855)

0.01x = 59 ( divide both sides by 0.01)

So x = 5900

$5900 is invested in 10% simple interest

9500 - 5900 = $3600 is invested in 9% simple interest

Final answer:

To solve the problem, we set up a system of equations based on the provided information. After simplifying and solving the system, we find that $5900 is invested at 10% and $3600 is invested at 9%.

Explanation:

Investment Allocation Problem

Let's denote the amount of money invested at 10% as $x and the amount of money invested at 9% as $y. Since the total amount invested is $9500, we can write the first equation as:

x + y = 9500

The total annual return from the investments is $914. We know that the interest from the first investment is 0.10x and from the second investment is 0.09y. Thus, our second equation, based on the total interest earned is:

0.10x + 0.09y = 914

Now we can solve the system of equations:

x + y = 9500 (Equation 1)

0.10x + 0.09y = 914 (Equation 2)

Multiplying Equation 1 by 0.10 gives us a new equation:

0.10x + 0.10y = 950 (Equation 3)

Now, we subtract Equation 2 from Equation 3:

(0.10x + 0.10y) - (0.10x + 0.09y) = 950 - 914

0.10y - 0.09y = 36

0.01y = 36

y = 3600

Substitute y = 3600 into Equation 1 to find x:

x + 3600 = 9500

x = 5900

Therefore, $5900 is invested at 10% and $3600 is invested at 9%.

Answer:

 [tex]4*10^{15}[/tex] is [tex]5*10^5[/tex] times larger than [tex]8*10^9[/tex]

 [tex]4*10^{15}[/tex] is [tex]5*10^6[/tex] times larger than [tex]4*10^{-12}[/tex]

Explanation:

Ratio between [tex]4*10^{15}[/tex] and [tex]8*10^9[/tex] = [tex]\frac{4*10^{15}}{8*10^9} =5*10^5[/tex]

 So [tex]4*10^{15}[/tex] is [tex]5*10^5[/tex] times larger than [tex]8*10^9[/tex]

Ratio between [tex]2*10^{-5}[/tex] and [tex]4*10^{-12}[/tex] = [tex]\frac{2*10^{-5}}{4*10^{-12}} =5*10^6[/tex]

 So [tex]4*10^{15}[/tex] is [tex]5*10^6[/tex] times larger than [tex]4*10^{-12}[/tex]

Answer:

your graph is gonna have a horizontal line crossing the y axis at (0,3)

1 place to the right of a decimal point is the tenths, so you would multiply 7 by 1/10.

2 places to the right of the decimal point is the hundredths place, so you would multiply 23 by 1/100

The correct answer is D.

Final answer:

The expanded form of the decimal 24.56 is 20 + 4 + 0.5 + 0.06, which breaks down each digit by its place value.

Explanation:

The expanded form of the decimal 24.56 is an expression that shows the value of each digit in the number. To write it in expanded form, we break down each digit according to its place value. For the number 24.56, the expanded form would look like this:

Combining these values, the expanded form of 24.56 is:

20 + 4 + 0.5 + 0.06