Simplify the following expression.

Simplify The Following Expression.

Answers

Answer 1

Answer:

B.

Step-by-step explanation:

So to make it look simpler, rewrite it as this:

[tex]\frac{4^{5} 7^{3} }{4^27^4}[/tex]

Now, you can cross out the 4^2 and 7^3

You're left with:

[tex]\frac{4^3}{7}[/tex]


Related Questions

What is the correct Algebraic Inequality for the given graph?
plsss help​

Answers

Answer:

X < 9

The hallow circle means just greater than or less than

The numberline is pointing downwards showing that 9 is greater than x(unknown value)

The point is also on 9

The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD? (4 points) negative 1 over 2 −2 2 1 over 2

Answers

Answer:

answer 1/2

Step-by-step explanation:

y-3=-2(x-4)

y-3=-2x+8

y=-2x+11

y=mx+c

m= slope which is -2

because it perpendicular It became 1/2

The vertex angle of an isosceles triangle is three times the measure of either base angle. Find the area if the measure of the congruent sides are 14 in

Answers

Answer:

[tex]Area = 93.21in^2[/tex]

Step-by-step explanation:

Given

[tex]\theta \to[/tex] vertex angle

[tex]\alpha \to[/tex] base angle

[tex]\theta = 3\alpha[/tex]

[tex]l = 14in[/tex] -- congruent sides

Required

The area of the triangle

First, calculate the angles

[tex]\theta + \alpha + \alpha = 180^o[/tex] ----- angles in an isosceles triangle

Substitute [tex]\theta = 3\alpha[/tex]

[tex]3\alpha + \alpha + \alpha = 180^o[/tex]

[tex]5\alpha = 180^o[/tex]

Divide both sides by 5

[tex]\alpha = 36^o[/tex]

Recall that: [tex]\theta = 3\alpha[/tex]

[tex]\theta = 3 * 36^o[/tex]

[tex]\theta = 108^o[/tex]

The area is then calculated as:

[tex]Area = \frac{1}{2}l^2 \sin(\theta)[/tex]

[tex]Area = \frac{1}{2}*14^2 \sin(108^o)[/tex]

[tex]Area = \frac{1}{2}*196 *0.9511[/tex]

[tex]Area = 93.21in^2[/tex]

A jar is full of gumballs and Hershey’s kisses. 2/3 of the jar is gumballs. 3/5 of these gumballs are red. What fraction of the whole jar are the red gumballs?

Answers

Answer:

[tex]\frac{2}{5}[/tex] of the jar contains red gumballs

Step-by-step explanation:

Hi there!

What we know:

[tex]\frac{2}{3}[/tex] of the jar is gumballs[tex]\frac{3}{5}[/tex] of the gumballs are red

To find the fraction of red gumballs in the whole jar, multiply the fractions:

Red gumball fraction × Total gumball fraction

[tex]= \frac{3}{5}*\frac{2}{3}\\= \frac{2}{5}[/tex]

Therefore, red gumballs contain [tex]\frac{2}{5}[/tex] of the whole jar.

I hope this helps!

The equation of the axis for the following graph is?

Answers

Step-by-step explanation:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Find the derivative of f(x) =( -7/x) at x = -3.

pls help !!

Answers

Answer:

[tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Calculus

Derivatives

Derivative Notation

Derivative of a constant is a 0

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]:                                                                               [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle f(x) = \frac{-7}{x}[/tex]

[tex]\displaystyle x = -3[/tex]

Step 2: Differentiate

Quotient Rule:                                                                                                   [tex]\displaystyle f'(x) = \frac{\frac{d}{dx}[7]x - \frac{d}{dx}[x](-7)}{x^2}[/tex]Basic Power Rule:                                                                                             [tex]\displaystyle f'(x) = \frac{(0)x - x^{1 - 1}(-7)}{x^2}[/tex]Simplify:                                                                                                             [tex]\displaystyle f'(x) = \frac{(0)x - x^0(-7)}{x^2}[/tex]Simplify:                                                                                                             [tex]\displaystyle f'(x) = \frac{(0)x - 1(-7)}{x^2}[/tex]Multiply:                                                                                                             [tex]\displaystyle f'(x) = \frac{0 + 7}{x^2}[/tex]Add:                                                                                                                   [tex]\displaystyle f'(x) = \frac{7}{x^2}[/tex]

Step 3: Solve

Substitute in x [Derivative]:                                                                              [tex]\displaystyle f'(-3) = \frac{7}{(-3)^2}[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle f'(-3) = \frac{7}{9}[/tex]

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

Unit: Derivatives

Book: College Calculus 10e

Is the relationship linear, exponential,or neither?

Answers

Answer:

neither

Step-by-step explanation:

it is neither because there is not a consistent pattern for linear, and there is not a consistent ratio so it also cannot be exponential

Rita buys 8 bottles of water. Each bottle contains 1.8 L of water.

Rita says she bought a total of 14.4 L of water.

Use estimation to show that her answer is reasonable.

Drag the numbers into the boxes to complete the number sentence.

_____x______= L

1 2 8 15 16 20 120 160

Answers

Answer:

Equation: 2 x 8 = 16

Step-by-step explanation:

1.8 ≈ 2

8 ≈ 8

2 x 8 = L

L = 16

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Last one please help my brain can’t take this

Answers

Answer:

first option 7.331 × 10^6

Answer:

7.331×10E6

( E means the exponent just letting u know :)

someone help me please

Answers

Answer:

18

Step-by-step explanation:

cos 49=x/27

27 cos 49= x

x = 17.7

approximately 18

please help with (Solving Rational Equations and Inequalities)

Answers

Answer:

1. x = -45

2. 1 +- squareroot 17 over 2

Step-by-step explanation:

note* ^ plus minus

solve: 7-z what is the answer to this question.................... . . . .. . . . .. .

Answers

Answer:

7 - z = 0

- z + 7 = 0

- z = - 7

z = 7

Thus, The answer is 7

-TheUnknownScientist

Can some one help me with this question its hard :( down below ill give brainliest and plz explain

Answers

Answer:

1 is the answer

Step-by-step explanation:

10^0 on the calculator is 1

The table shows the total profits earned from magazine sales.
select a function that models this situation.

O A.) y = 24x

O B.) y = 10x + 28

O C.) y = 14x + 20

O D.) y = 15x + 10

Answers

The answer is B.)y=10x+28

write an email about a game you played recently​

Answers

football waz good and ther was funi monke that go "haha funi monke go stinky poopoo hahahahahhaha".

Mystique's favorite part of a pizza is the crust. Which measurement is the BEST for determining how much crust is on a pizza?
A) The circumference

B) The area

Answers

Hey I don't really know I'm really sorry but I hope you find the answer! By the way I love this app !!!!
the answer would have to be area because it is measuring how much it is

The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π

Answers

Answer: √ 4A /π or  13.996450848446

Step-by-step explanation:

D = 2R

C = 2πR

A = πR2

where:

R: Radius

D: Diameter

C: Circumference

A: Area

π: 3.14159

Water freezes at 0° Celsius.
• Manoj's water is 3° Celsius.
• Leo's water is 7° Celsius.
Whose water matches each description?
Manoj's water
Leo's water
Is at a greater temperature
Is closer to freezing
+
0
3
7
pls help me

Answers

Answer:

‍♀️‍‍‍‍‍⚕️‍⚕️☺☺

Manoj’s water is closer to freezing.
Leo’s water is at a greater temperature.

Hope this helps. Just compare the two numbers regardless of system of temperature. Celsius, Kelvin, Fahrenheit, just compare the numbers the temperature is at.

3 < 7

Let's evaluate 3x + 4 when x=5
First, I need to substitute 5 in for x

3( ) + 4


Put the steps for Evaluating an Expression in order: Evaluate x-3 when x=9?

Can you evaluate 3a + 4b when a=6 and b=5?
Substitute your values for a and b

3( ) + 4( )


Evaluate the following expression when a= 3 and b = 6

6a+3b

Answers

It is simple
Step 1) substitute x = 5 into the equation
3x +4
3(5) + 4 gives you 3 times 5 + 4
The answer is 15 + 4 which is 19

Now substitute a and b into the equation 3(a) + 4(b) when the a = 6 and b = 5
Hereby 3(6) + 4(5)
3 * 6 = 18 and 4* 5 = 20
18 + 20 = 38
The answer is 38

Now finally
Substitute a and b Into the equation
3(3) + 4(6)
9+ 24 = 33

Jasmine, Georgia, and Olivia are in boats on a lake. Their relative locations are shown in the diagram.

What is the distance from Georgia's boat to Olivia's boat?



Enter your answer in the box. Round your final answer to the nearest whole number.

ft

Answers

Answer:

52ft

Step-by-step explanation:

A 30-foot ladder is set against the side of a house so that it reaches up 24 feet. If Elizabeth grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 21 ft.) Round to the nearest tenth of a foot.

Answers

Use the Pythagorean theorem to calculate the distance from the wall the ladder originally is:

x = sqrt(30^2 - 24^2)

x = sqrt(900-576)

x = sqrt(324)

x = 18

The ladder was originally 18 feet from the wall. Moving the ladder 3 feet further away makes the new distance 18 + 3 = 21 feet.

Now use the Pythagorean theorem again to find the new height of the ladder.

Height = sqrt(30^2 - 21^2)

Height = sqrt(900 - 441)

Height = sqrt(459)

Height = 21.42

Rounded to the nearest tenth = 21.4 feet.

Answer:89

Step-by-step explanation:

23+9

Drag each situation to show whether it can be modeled using a linear or an exponential function. If the situation cannot be modeled with either function type, drag it into the container labeled Neither.

Answers

Answer: the savings account one is linear, the enrollment of students is linear, the investment is exponential as well as the cars value, the speed of the truck is neither (not fully sure) and the temperature outside is linear

Step-by-step explanation: linear means in a straight line without curves meaning if the question mentions percentages it’s automatically not linear as percentages tend to curve. Exponential means it curves which has direct connections to percentages and getting multiplied by

Hope this helps you

Mary is building a rectangle enclosure for all her chickens. The length of the enclosure is 22.5m and the width is 13.2m. If she already has 30m of fencing, how much more does she need?

Answers

Answer:

41.4 meters

Step-by-step explanation:

22.5 + 13.2 = 35.7

35.7 × 2 = 71.4m (because of the other 2 sides of the rectangle)

71.4-30=41.4m


Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

C, the binder and the stapler do because 9+5=14

Step-by-step explanation:

Answer:

The binder and the stapler do

Pls mark Brainliest :)

Step-by-step explanation:

Please help!
Find the amount of empty space within a cylinder containing three solid spheres, where each sphere has a radius of 3 cm. (Volume of a sphere 4 000 3 cm.​

Answers

Answer:

Step-by-step explanation:

cylinder's height=3×(diameter of sphere)=3×6=18 cm

radius of cylinder=3 cm

volume of cylinder=π r²h=π(3)²×18=162 π cm³

volume of sphere=4/3 π(3)³=36 π cm³

reqd. empty space=162 π-3×36π=54 πcm³

Juan necesita para su coche verde 3dl y 75 ml de aceites,y para su coche azul 13cl y 5ml.¿Cuantos hl necesita en total? ¿Tendrá suficiente con una lata de medio litro?

Answers

Answer:

1. Juan necesita 0,0051 hl en total.

2. Juan no tendrá suficiente con una lata de medio litro.

Step-by-step explanation:

1. Para calcular el volumen total en hl, primero debemos convertir todas las unidades a hl.

Para el coche verde:

[tex] V_{1} = 3 dl*\frac{1 hl}{1000 dl} = 0,003 hl [/tex]

[tex] V_{2} = 75 ml*\frac{1 hl}{100000 ml} = 0,00075 hl [/tex]    

Para el coche azul:    

[tex] V_{3} = 13 cl*\frac{1 hl}{10000 cl} = 0,0013 hl [/tex]

[tex] V_{4} = 5 ml*\frac{1 hl}{100000 dl} = 0,00005 hl [/tex]    

Ahora, para encontrar el volumen total debemos sumar todos los volúmenes anteriores:

[tex] V_{T} = V_{1} + V_{2} + V_{3} + V_{4} = 0,003 hl + 0,00075 hl + 0,0013 hl + 0,00005 hl = 0,0051 hl [/tex]

Por lo tanto, Juan necesita 0,0051 hl en total.

 

2. Luego, para saber si tendrá suficiente con una lata de medio litro, debemos convertir el volumen total de hl a l:

[tex] V_{T} = 0,0051 hl*\frac{100 l}{1 hl} = 0,51 l [/tex]

Entonces, dado que el volumen total es 0,51 litros Juan no tendrá suficiente con una lata de medio litro porque necesita cubrir 0,01 litros más.  

Espero que te sea de utilidad!

Help me
3.9x0.5+4 5/6 / 3 3/7

Answers

3.9 · 0.5 + 4 5/6 ÷ 3 3/7
1.95 + 4 5/6 ÷ 3 3/7 multiplication left ot right
1.95 + 29/6 ÷ 24/7 convert to improper fraction
1.95 + 29/6 · 7/24 divide by fraction same as multiplication by reciprocal
1.95 + 203/144 multiply
1.95 + 1.40 (and a teensy bit more)
3.35

What is the domain of y = x + 1?

Answers

Answer:

[0, infinity

Step-by-step explanation:

It's essential to type "sqrt(x)" or "√x," which are vastly different from the linear function y = x + 1.

The domain of the square root function is [0, infinity).

Adding 1 to this merely shifts the entire graph up 1 unit.

So the domain of y = √x + 1 is the same as before:    [0, infinity

Yuhh I need help pleasee

Answers

Answer: [tex]-15,\ 3[/tex]

Step-by-step explanation:

Given

The table is given for values of x

From the table, If [tex]x=0[/tex] it corresponds to -15 i.e.

When we replace x by 0 in [tex]f(x)[/tex], we obtain [tex]f(0)=-15[/tex]

Similarly, for [tex]f(x)=27[/tex] corresponds to [tex]x=3[/tex]

A certain television is advertised as a 38-inch TV (the diagonal length). If the height
of the TV is 25 inches, how wide is the TV? Round to the nearest tenth of an inch.

Answers

Answer: 28.6

Step-by-step explanation:

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